TSTP Solution File: SWV420-1.010 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SWV420-1.010 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 15:11:52 EDT 2022
% Result : Unsatisfiable 48.84s 31.45s
% Output : Proof 51.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV420-1.010 : TPTP v8.1.0. Released v3.5.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Sep 4 03:13:48 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 48.84/31.45 % SZS status Unsatisfiable
% 48.84/31.45 % SZS output start Proof
% 48.84/31.45 tff(m_memory_v_busy_type, type, (
% 48.84/31.45 m_memory_v_busy: ( $i * $i ) > $o)).
% 48.84/31.45 tff(s7_type, type, (
% 48.84/31.45 s7: $i)).
% 48.84/31.45 tff(c_m_type, type, (
% 48.84/31.45 c_m: $i)).
% 48.84/31.45 tff(m_memory_v_REPLY_h_OWNED_type, type, (
% 48.84/31.45 m_memory_v_REPLY_h_OWNED: ( $i * $i ) > $o)).
% 48.84/31.45 tff(s6_type, type, (
% 48.84/31.45 s6: $i)).
% 48.84/31.45 tff(m_main_v_REPLY_h_OWNED_type, type, (
% 48.84/31.45 m_main_v_REPLY_h_OWNED: $i > $o)).
% 48.84/31.45 tff(node5_type, type, (
% 48.84/31.45 node5: $i > $o)).
% 48.84/31.45 tff(m_processor_v_reply_h_owned_type, type, (
% 48.84/31.45 m_processor_v_reply_h_owned: ( $i * $i ) > $o)).
% 48.84/31.45 tff(c_p0_type, type, (
% 48.84/31.45 c_p0: $i)).
% 48.84/31.45 tff(m_processor_v_master_type, type, (
% 48.84/31.45 m_processor_v_master: ( $i * $i ) > $o)).
% 48.84/31.45 tff(c_p1_type, type, (
% 48.84/31.45 c_p1: $i)).
% 48.84/31.45 tff(m_processor_v_state_type, type, (
% 48.84/31.45 m_processor_v_state: ( $i * $i * $i ) > $o)).
% 48.84/31.45 tff(c_shared_type, type, (
% 48.84/31.45 c_shared: $i)).
% 48.84/31.45 tff(m_processor_v_REPLY_h_WAITING_type, type, (
% 48.84/31.45 m_processor_v_REPLY_h_WAITING: ( $i * $i ) > $o)).
% 48.84/31.45 tff(m_main_v_REPLY_h_WAITING_type, type, (
% 48.84/31.45 m_main_v_REPLY_h_WAITING: $i > $o)).
% 48.84/31.45 tff(node6_type, type, (
% 48.84/31.45 node6: $i > $o)).
% 48.84/31.45 tff(m_processor_v_reply_h_waiting_type, type, (
% 48.84/31.45 m_processor_v_reply_h_waiting: ( $i * $i ) > $o)).
% 48.84/31.45 tff(m_processor_v_waiting_type, type, (
% 48.84/31.45 m_processor_v_waiting: ( $i * $i ) > $o)).
% 48.84/31.45 tff(c_owned_type, type, (
% 48.84/31.45 c_owned: $i)).
% 48.84/31.45 tff(s9_type, type, (
% 48.84/31.45 s9: $i)).
% 48.84/31.45 tff(node56_type, type, (
% 48.84/31.45 node56: ( $i * $i ) > $o)).
% 48.84/31.45 tff(m_processor_v_writable_type, type, (
% 48.84/31.45 m_processor_v_writable: ( $i * $i ) > $o)).
% 48.84/31.45 tff(node67_type, type, (
% 48.84/31.45 node67: $i > $o)).
% 48.84/31.45 tff(s8_type, type, (
% 48.84/31.45 s8: $i)).
% 48.84/31.45 tff(c_invalid_type, type, (
% 48.84/31.45 c_invalid: $i)).
% 48.84/31.45 tff(s5_type, type, (
% 48.84/31.45 s5: $i)).
% 48.84/31.45 tff(node18_type, type, (
% 48.84/31.45 node18: ( $i * $i * $i ) > $o)).
% 48.84/31.45 tff(m_memory_v_abort_type, type, (
% 48.84/31.45 m_memory_v_abort: ( $i * $i ) > $o)).
% 48.84/31.45 tff(node26_type, type, (
% 48.84/31.45 node26: ( $i * $i ) > $o)).
% 48.84/31.45 tff(s4_type, type, (
% 48.84/31.45 s4: $i)).
% 48.84/31.45 tff(m_processor_v_abort_type, type, (
% 48.84/31.45 m_processor_v_abort: ( $i * $i ) > $o)).
% 48.84/31.45 tff(node60_type, type, (
% 48.84/31.45 node60: ( $i * $i ) > $o)).
% 48.84/31.45 tff(node32_type, type, (
% 48.84/31.45 node32: ( $i * $i * $i ) > $o)).
% 48.84/31.45 tff(m_processor_v_CMD_type, type, (
% 48.84/31.45 m_processor_v_CMD: ( $i * $i * $i ) > $o)).
% 48.84/31.45 tff(c_read_h_shared_type, type, (
% 48.84/31.45 c_read_h_shared: $i)).
% 48.84/31.45 tff(node34_type, type, (
% 48.84/31.45 node34: ( $i * $i * $i ) > $o)).
% 48.84/31.45 tff(node36_type, type, (
% 48.84/31.45 node36: ( $i * $i ) > $o)).
% 48.84/31.45 tff(node37_type, type, (
% 48.84/31.45 node37: ( $i * $i * $i ) > $o)).
% 48.84/31.45 tff(node38_type, type, (
% 48.84/31.45 node38: ( $i * $i * $i ) > $o)).
% 48.84/31.45 tff(trans_type, type, (
% 48.84/31.45 trans: ( $i * $i ) > $o)).
% 48.84/31.45 tff(succ_type, type, (
% 48.84/31.45 succ: ( $i * $i ) > $o)).
% 48.84/31.45 tff(c_read_h_owned_type, type, (
% 48.84/31.45 c_read_h_owned: $i)).
% 48.84/31.45 tff(node35_type, type, (
% 48.84/31.45 node35: ( $i * $i ) > $o)).
% 48.84/31.45 tff(c_invalidate_type, type, (
% 48.84/31.45 c_invalidate: $i)).
% 48.84/31.45 tff(node33_type, type, (
% 48.84/31.45 node33: ( $i * $i * $i ) > $o)).
% 48.84/31.45 tff(c_write_h_invalid_type, type, (
% 48.84/31.45 c_write_h_invalid: $i)).
% 48.84/31.45 tff(c_write_h_resp_h_invalid_type, type, (
% 48.84/31.45 c_write_h_resp_h_invalid: $i)).
% 48.84/31.45 tff(c_write_h_shared_type, type, (
% 48.84/31.45 c_write_h_shared: $i)).
% 48.84/31.45 tff(c_write_h_resp_h_shared_type, type, (
% 48.84/31.45 c_write_h_resp_h_shared: $i)).
% 48.84/31.45 tff(node53_type, type, (
% 48.84/31.45 node53: ( $i * $i * $i ) > $o)).
% 48.84/31.45 tff(node47_type, type, (
% 48.84/31.45 node47: ( $i * $i ) > $o)).
% 48.84/31.45 tff(node59_type, type, (
% 48.84/31.45 node59: ( $i * $i ) > $o)).
% 48.84/31.45 tff(m_main_v_CMD_type, type, (
% 48.84/31.45 m_main_v_CMD: ( $i * $i ) > $o)).
% 48.84/31.45 tff(node2_type, type, (
% 48.84/31.45 node2: $i > $o)).
% 48.84/31.45 tff(node3_type, type, (
% 48.84/31.45 node3: $i > $o)).
% 48.84/31.45 tff(node61_type, type, (
% 48.84/31.45 node61: ( $i * $i ) > $o)).
% 48.84/31.45 tff(m_memory_v_cmd_type, type, (
% 48.84/31.45 m_memory_v_cmd: ( $i * $i * $i ) > $o)).
% 48.84/31.45 tff(c_idle_type, type, (
% 48.84/31.45 c_idle: $i)).
% 48.84/31.45 tff(node29_type, type, (
% 48.84/31.45 node29: ( $i * $i ) > $o)).
% 48.84/31.45 tff(m_memory_v_master_type, type, (
% 48.84/31.45 m_memory_v_master: ( $i * $i ) > $o)).
% 48.84/31.45 tff(node17_type, type, (
% 48.84/31.45 node17: $i > $o)).
% 48.84/31.45 tff(m_processor_v_REPLY_h_STALL_type, type, (
% 48.84/31.45 m_processor_v_REPLY_h_STALL: ( $i * $i ) > $o)).
% 48.84/31.45 tff(m_main_v_REPLY_h_STALL_type, type, (
% 48.84/31.45 m_main_v_REPLY_h_STALL: $i > $o)).
% 48.84/31.45 tff(m_processor_v_cmd_type, type, (
% 48.84/31.45 m_processor_v_cmd: ( $i * $i * $i ) > $o)).
% 48.84/31.45 tff(node66_type, type, (
% 48.84/31.45 node66: ( $i * $i ) > $o)).
% 48.84/31.45 tff(node65_type, type, (
% 48.84/31.45 node65: ( $i * $i ) > $o)).
% 48.84/31.45 tff(node63_type, type, (
% 48.84/31.45 node63: ( $i * $i ) > $o)).
% 48.84/31.45 tff(node64_type, type, (
% 48.84/31.45 node64: ( $i * $i ) > $o)).
% 48.84/31.45 tff(node62_type, type, (
% 48.84/31.45 node62: ( $i * $i ) > $o)).
% 48.84/31.45 tff(node8_type, type, (
% 48.84/31.45 node8: $i > $o)).
% 48.84/31.45 tff(c_p2_type, type, (
% 48.84/31.45 c_p2: $i)).
% 48.84/31.45 tff(node16_type, type, (
% 48.84/31.45 node16: $i > $o)).
% 48.84/31.45 tff(c_response_type, type, (
% 48.84/31.45 c_response: $i)).
% 48.84/31.45 tff(node14_type, type, (
% 48.84/31.45 node14: $i > $o)).
% 48.84/31.45 tff(node11_type, type, (
% 48.84/31.45 node11: $i > $o)).
% 48.84/31.45 tff(node13_type, type, (
% 48.84/31.45 node13: $i > $o)).
% 48.84/31.45 tff(node9_type, type, (
% 48.84/31.45 node9: $i > $o)).
% 48.84/31.45 tff(node12_type, type, (
% 48.84/31.45 node12: $i > $o)).
% 48.84/31.45 tff(s3_type, type, (
% 48.84/31.45 s3: $i)).
% 48.84/31.45 tff(s2_type, type, (
% 48.84/31.45 s2: $i)).
% 48.84/31.45 tff(node7_type, type, (
% 48.84/31.45 node7: $i > $o)).
% 48.84/31.45 tff(s1_type, type, (
% 48.84/31.45 s1: $i)).
% 48.84/31.45 tff(s0_type, type, (
% 48.84/31.45 s0: $i)).
% 48.84/31.45 tff(node10_type, type, (
% 48.84/31.45 node10: $i > $o)).
% 48.84/31.45 tff(m_memory_v_reply_h_stall_type, type, (
% 48.84/31.45 m_memory_v_reply_h_stall: ( $i * $i ) > $o)).
% 48.84/31.45 tff(node30_type, type, (
% 48.84/31.45 node30: ( $i * $i ) > $o)).
% 48.84/31.45 tff(m_memory_v_CMD_type, type, (
% 48.84/31.45 m_memory_v_CMD: ( $i * $i * $i ) > $o)).
% 48.84/31.45 tff(node20_type, type, (
% 48.84/31.45 node20: ( $i * $i ) > $o)).
% 48.84/31.45 tff(m_memory_v_REPLY_h_STALL_type, type, (
% 48.84/31.45 m_memory_v_REPLY_h_STALL: ( $i * $i ) > $o)).
% 48.84/31.45 tff(node27_type, type, (
% 48.84/31.45 node27: ( $i * $i ) > $o)).
% 48.84/31.45 tff(m_memory_v_REPLY_h_WAITING_type, type, (
% 48.84/31.45 m_memory_v_REPLY_h_WAITING: ( $i * $i ) > $o)).
% 48.84/31.45 tff(m_processor_v_snoop_type, type, (
% 48.84/31.45 m_processor_v_snoop: ( $i * $i * $i ) > $o)).
% 48.84/31.45 tff(node1_type, type, (
% 48.84/31.45 node1: $i > $o)).
% 48.84/31.45 tff(node19_type, type, (
% 48.84/31.45 node19: ( $i * $i ) > $o)).
% 48.84/31.45 tff(node23_type, type, (
% 48.84/31.45 node23: ( $i * $i * $i ) > $o)).
% 48.84/31.45 tff(node28_type, type, (
% 48.84/31.45 node28: ( $i * $i ) > $o)).
% 48.84/31.45 tff(node57_type, type, (
% 48.84/31.45 node57: ( $i * $i ) > $o)).
% 48.84/31.45 tff(xuntil69_type, type, (
% 48.84/31.45 xuntil69: $i > $o)).
% 48.84/31.45 tff(until68_type, type, (
% 48.84/31.45 until68: $i > $o)).
% 48.84/31.45 tff(until2p70_type, type, (
% 48.84/31.45 until2p70: $i > $o)).
% 48.84/31.45 tff(xuntil2p71_type, type, (
% 48.84/31.45 xuntil2p71: $i > $o)).
% 48.84/31.45 tff(last_type, type, (
% 48.84/31.45 last: $i > $o)).
% 48.84/31.45 tff(loop_type, type, (
% 48.84/31.45 loop: $o)).
% 48.84/31.45 tff(node46_type, type, (
% 48.84/31.45 node46: ( $i * $i * $i ) > $o)).
% 48.84/31.45 tff(node21_type, type, (
% 48.84/31.45 node21: ( $i * $i ) > $o)).
% 48.84/31.45 tff(node22_type, type, (
% 48.84/31.45 node22: ( $i * $i * $i ) > $o)).
% 48.84/31.45 tff(node40_type, type, (
% 48.84/31.45 node40: ( $i * $i ) > $o)).
% 48.84/31.45 tff(node44_type, type, (
% 48.84/31.45 node44: ( $i * $i * $i ) > $o)).
% 48.84/31.45 tff(node39_type, type, (
% 48.84/31.45 node39: ( $i * $i * $i ) > $o)).
% 48.84/31.45 tff(node45_type, type, (
% 48.84/31.45 node45: ( $i * $i * $i ) > $o)).
% 48.84/31.45 tff(node43_type, type, (
% 48.84/31.45 node43: ( $i * $i ) > $o)).
% 48.84/31.45 tff(node42_type, type, (
% 48.84/31.45 node42: ( $i * $i ) > $o)).
% 48.84/31.45 tff(node41_type, type, (
% 48.84/31.45 node41: ( $i * $i ) > $o)).
% 48.84/31.45 tff(node25_type, type, (
% 48.84/31.45 node25: ( $i * $i ) > $o)).
% 48.84/31.45 tff(node52_type, type, (
% 48.84/31.45 node52: ( $i * $i * $i ) > $o)).
% 48.84/31.45 tff(node51_type, type, (
% 48.84/31.45 node51: ( $i * $i ) > $o)).
% 48.84/31.45 tff(node48_type, type, (
% 48.84/31.45 node48: ( $i * $i ) > $o)).
% 48.84/31.45 tff(node49_type, type, (
% 48.84/31.45 node49: ( $i * $i ) > $o)).
% 48.84/31.45 tff(node50_type, type, (
% 48.84/31.45 node50: ( $i * $i ) > $o)).
% 48.84/31.45 tff(node58_type, type, (
% 48.84/31.45 node58: ( $i * $i ) > $o)).
% 48.84/31.45 tff(node4_type, type, (
% 48.84/31.45 node4: $i > $o)).
% 48.84/31.45 tff(node24_type, type, (
% 48.84/31.45 node24: ( $i * $i ) > $o)).
% 48.84/31.45 tff(1,assumption,(~m_processor_v_state(c_p1, s6, c_shared)), introduced(assumption)).
% 48.84/31.45 tff(2,assumption,(~m_processor_v_waiting(c_p0, s6)), introduced(assumption)).
% 48.84/31.45 tff(3,assumption,(~m_processor_v_state(c_p0, s7, c_owned)), introduced(assumption)).
% 48.84/31.45 tff(4,assumption,(~m_processor_v_state(c_p1, s7, c_owned)), introduced(assumption)).
% 48.84/31.45 tff(5,assumption,(~m_processor_v_state(c_p0, s6, c_owned)), introduced(assumption)).
% 48.84/31.45 tff(6,assumption,(node56(c_p0, s6)), introduced(assumption)).
% 48.84/31.45 tff(7,plain,
% 48.84/31.45 (^[I0: $i, X: $i] : refl((m_processor_v_state(I0, X, c_owned) | (~node56(I0, X))) <=> (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X))))),
% 48.84/31.45 inference(bind,[status(th)],[])).
% 48.84/31.45 tff(8,plain,
% 48.84/31.45 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))),
% 48.84/31.45 inference(quant_intro,[status(thm)],[7])).
% 48.84/31.45 tff(9,plain,
% 48.84/31.45 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))),
% 48.84/31.45 inference(rewrite,[status(thm)],[])).
% 48.84/31.45 tff(10,axiom,(![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_122')).
% 48.84/31.45 tff(11,plain,
% 48.84/31.45 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))),
% 48.84/31.45 inference(modus_ponens,[status(thm)],[10, 9])).
% 48.84/31.45 tff(12,plain,(
% 48.84/31.45 ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))),
% 48.84/31.45 inference(skolemize,[status(sab)],[11])).
% 48.84/31.45 tff(13,plain,
% 48.84/31.45 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))),
% 48.84/31.45 inference(modus_ponens,[status(thm)],[12, 8])).
% 48.84/31.45 tff(14,plain,
% 48.84/31.45 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s6, c_owned) | (~node56(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p0, s6, c_owned) | (~node56(c_p0, s6)))),
% 48.84/31.45 inference(rewrite,[status(thm)],[])).
% 48.84/31.45 tff(15,plain,
% 48.84/31.45 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s6, c_owned) | (~node56(c_p0, s6)))),
% 48.84/31.45 inference(quant_inst,[status(thm)],[])).
% 48.84/31.45 tff(16,plain,
% 48.84/31.45 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p0, s6, c_owned) | (~node56(c_p0, s6))),
% 48.84/31.45 inference(modus_ponens,[status(thm)],[15, 14])).
% 48.84/31.45 tff(17,plain,
% 48.84/31.45 ($false),
% 48.84/31.45 inference(unit_resolution,[status(thm)],[16, 13, 5, 6])).
% 48.84/31.45 tff(18,plain,(m_processor_v_state(c_p0, s6, c_owned) | (~node56(c_p0, s6))), inference(lemma,lemma(discharge,[]))).
% 48.84/31.45 tff(19,plain,
% 48.84/31.45 (~node56(c_p0, s6)),
% 48.84/31.45 inference(unit_resolution,[status(thm)],[18, 5])).
% 48.84/31.45 tff(20,assumption,(m_processor_v_writable(c_p0, s6)), introduced(assumption)).
% 48.84/31.45 tff(21,assumption,(~node56(c_p0, s6)), introduced(assumption)).
% 48.84/31.45 tff(22,plain,
% 48.84/31.45 (^[I0: $i, X: $i] : refl(((~m_processor_v_writable(I0, X)) | node56(I0, X)) <=> ((~m_processor_v_writable(I0, X)) | node56(I0, X)))),
% 48.84/31.45 inference(bind,[status(th)],[])).
% 48.84/31.45 tff(23,plain,
% 48.84/31.45 (![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X)) <=> ![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))),
% 48.84/31.45 inference(quant_intro,[status(thm)],[22])).
% 48.84/31.45 tff(24,plain,
% 48.84/31.45 (![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X)) <=> ![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))),
% 48.84/31.45 inference(rewrite,[status(thm)],[])).
% 48.84/31.45 tff(25,axiom,(![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_125')).
% 48.84/31.45 tff(26,plain,
% 48.84/31.45 (![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))),
% 48.84/31.45 inference(modus_ponens,[status(thm)],[25, 24])).
% 48.84/31.45 tff(27,plain,(
% 48.84/31.45 ![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))),
% 48.84/31.45 inference(skolemize,[status(sab)],[26])).
% 48.84/31.45 tff(28,plain,
% 48.84/31.45 (![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))),
% 48.84/31.45 inference(modus_ponens,[status(thm)],[27, 23])).
% 48.84/31.45 tff(29,plain,
% 48.84/31.45 (((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s6)) | node56(c_p0, s6))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s6)) | node56(c_p0, s6))),
% 48.84/31.45 inference(rewrite,[status(thm)],[])).
% 48.84/31.45 tff(30,plain,
% 48.84/31.45 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s6)) | node56(c_p0, s6))),
% 48.84/31.45 inference(quant_inst,[status(thm)],[])).
% 48.84/31.45 tff(31,plain,
% 48.84/31.45 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s6)) | node56(c_p0, s6)),
% 48.84/31.45 inference(modus_ponens,[status(thm)],[30, 29])).
% 48.84/31.45 tff(32,plain,
% 48.84/31.45 ($false),
% 48.84/31.45 inference(unit_resolution,[status(thm)],[31, 28, 21, 20])).
% 48.84/31.45 tff(33,plain,((~m_processor_v_writable(c_p0, s6)) | node56(c_p0, s6)), inference(lemma,lemma(discharge,[]))).
% 48.84/31.45 tff(34,plain,
% 48.84/31.45 (~m_processor_v_writable(c_p0, s6)),
% 48.84/31.45 inference(unit_resolution,[status(thm)],[33, 19])).
% 48.84/31.45 tff(35,assumption,(~m_processor_v_writable(c_p0, s6)), introduced(assumption)).
% 48.84/31.45 tff(36,assumption,(node67(s6)), introduced(assumption)).
% 48.84/31.45 tff(37,plain,
% 48.84/31.45 (^[X: $i] : refl((m_processor_v_writable(c_p0, X) | (~node67(X))) <=> (m_processor_v_writable(c_p0, X) | (~node67(X))))),
% 48.84/31.45 inference(bind,[status(th)],[])).
% 48.84/31.45 tff(38,plain,
% 48.84/31.45 (![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X))) <=> ![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))),
% 48.84/31.45 inference(quant_intro,[status(thm)],[37])).
% 48.84/31.45 tff(39,plain,
% 48.84/31.45 (![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X))) <=> ![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))),
% 48.84/31.45 inference(rewrite,[status(thm)],[])).
% 48.84/31.45 tff(40,axiom,(![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty1')).
% 48.84/31.45 tff(41,plain,
% 48.84/31.45 (![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))),
% 48.84/31.45 inference(modus_ponens,[status(thm)],[40, 39])).
% 48.84/31.45 tff(42,plain,(
% 48.84/31.45 ![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))),
% 48.84/31.45 inference(skolemize,[status(sab)],[41])).
% 48.84/31.45 tff(43,plain,
% 48.84/31.45 (![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))),
% 48.84/31.45 inference(modus_ponens,[status(thm)],[42, 38])).
% 48.84/31.45 tff(44,plain,
% 48.84/31.45 (((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | ((~node67(s6)) | m_processor_v_writable(c_p0, s6))) <=> ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (~node67(s6)) | m_processor_v_writable(c_p0, s6))),
% 48.84/31.45 inference(rewrite,[status(thm)],[])).
% 48.84/31.45 tff(45,plain,
% 48.84/31.45 ((m_processor_v_writable(c_p0, s6) | (~node67(s6))) <=> ((~node67(s6)) | m_processor_v_writable(c_p0, s6))),
% 48.84/31.45 inference(rewrite,[status(thm)],[])).
% 48.84/31.45 tff(46,plain,
% 48.84/31.45 (((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s6) | (~node67(s6)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | ((~node67(s6)) | m_processor_v_writable(c_p0, s6)))),
% 48.84/31.45 inference(monotonicity,[status(thm)],[45])).
% 48.84/31.45 tff(47,plain,
% 48.84/31.45 (((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s6) | (~node67(s6)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (~node67(s6)) | m_processor_v_writable(c_p0, s6))),
% 48.84/31.45 inference(transitivity,[status(thm)],[46, 44])).
% 48.84/31.45 tff(48,plain,
% 48.84/31.45 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s6) | (~node67(s6)))),
% 48.84/31.45 inference(quant_inst,[status(thm)],[])).
% 48.84/31.45 tff(49,plain,
% 48.84/31.45 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (~node67(s6)) | m_processor_v_writable(c_p0, s6)),
% 48.84/31.45 inference(modus_ponens,[status(thm)],[48, 47])).
% 48.84/31.45 tff(50,plain,
% 48.84/31.45 ($false),
% 48.84/31.45 inference(unit_resolution,[status(thm)],[49, 43, 36, 35])).
% 48.84/31.45 tff(51,plain,((~node67(s6)) | m_processor_v_writable(c_p0, s6)), inference(lemma,lemma(discharge,[]))).
% 48.84/31.45 tff(52,plain,
% 48.84/31.45 (~node67(s6)),
% 48.84/31.45 inference(unit_resolution,[status(thm)],[51, 34])).
% 48.84/31.45 tff(53,assumption,(~m_processor_v_state(c_p1, s5, c_owned)), introduced(assumption)).
% 48.84/31.45 tff(54,assumption,(~m_processor_v_state(c_p0, s4, c_owned)), introduced(assumption)).
% 48.84/31.45 tff(55,assumption,(~m_processor_v_master(c_p0, s7)), introduced(assumption)).
% 48.84/31.45 tff(56,assumption,(node56(c_p0, s4)), introduced(assumption)).
% 48.84/31.45 tff(57,plain,
% 48.84/31.45 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s4, c_owned) | (~node56(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p0, s4, c_owned) | (~node56(c_p0, s4)))),
% 48.84/31.45 inference(rewrite,[status(thm)],[])).
% 48.84/31.45 tff(58,plain,
% 48.84/31.45 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s4, c_owned) | (~node56(c_p0, s4)))),
% 48.84/31.45 inference(quant_inst,[status(thm)],[])).
% 48.84/31.45 tff(59,plain,
% 48.84/31.45 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p0, s4, c_owned) | (~node56(c_p0, s4))),
% 48.84/31.45 inference(modus_ponens,[status(thm)],[58, 57])).
% 48.84/31.45 tff(60,plain,
% 48.84/31.45 ($false),
% 48.84/31.45 inference(unit_resolution,[status(thm)],[59, 13, 54, 56])).
% 48.84/31.45 tff(61,plain,((~node56(c_p0, s4)) | m_processor_v_state(c_p0, s4, c_owned)), inference(lemma,lemma(discharge,[]))).
% 48.84/31.45 tff(62,plain,
% 48.84/31.45 (~node56(c_p0, s4)),
% 48.84/31.45 inference(unit_resolution,[status(thm)],[61, 54])).
% 48.84/31.45 tff(63,assumption,(m_processor_v_writable(c_p0, s4)), introduced(assumption)).
% 48.84/31.45 tff(64,assumption,(~node56(c_p0, s4)), introduced(assumption)).
% 48.84/31.45 tff(65,plain,
% 48.84/31.45 (((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s4)) | node56(c_p0, s4))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s4)) | node56(c_p0, s4))),
% 48.84/31.45 inference(rewrite,[status(thm)],[])).
% 48.84/31.45 tff(66,plain,
% 48.84/31.45 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s4)) | node56(c_p0, s4))),
% 48.84/31.45 inference(quant_inst,[status(thm)],[])).
% 48.84/31.45 tff(67,plain,
% 48.84/31.45 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s4)) | node56(c_p0, s4)),
% 48.84/31.45 inference(modus_ponens,[status(thm)],[66, 65])).
% 48.84/31.45 tff(68,plain,
% 48.84/31.45 ($false),
% 48.84/31.45 inference(unit_resolution,[status(thm)],[67, 28, 64, 63])).
% 48.84/31.45 tff(69,plain,((~m_processor_v_writable(c_p0, s4)) | node56(c_p0, s4)), inference(lemma,lemma(discharge,[]))).
% 48.84/31.45 tff(70,plain,
% 48.84/31.45 (~m_processor_v_writable(c_p0, s4)),
% 48.84/31.45 inference(unit_resolution,[status(thm)],[69, 62])).
% 48.84/31.45 tff(71,plain,
% 48.84/31.45 (((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s4) | (~node67(s4)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | m_processor_v_writable(c_p0, s4) | (~node67(s4)))),
% 48.84/31.45 inference(rewrite,[status(thm)],[])).
% 48.84/31.45 tff(72,plain,
% 48.84/31.45 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s4) | (~node67(s4)))),
% 48.84/31.45 inference(quant_inst,[status(thm)],[])).
% 48.84/31.45 tff(73,plain,
% 48.84/31.45 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | m_processor_v_writable(c_p0, s4) | (~node67(s4))),
% 48.84/31.45 inference(modus_ponens,[status(thm)],[72, 71])).
% 48.84/31.45 tff(74,plain,
% 48.84/31.45 (~node67(s4)),
% 48.84/31.45 inference(unit_resolution,[status(thm)],[73, 43, 70])).
% 48.84/31.45 tff(75,assumption,(node56(c_p1, s5)), introduced(assumption)).
% 48.84/31.45 tff(76,plain,
% 48.84/31.45 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s5, c_owned) | (~node56(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p1, s5, c_owned) | (~node56(c_p1, s5)))),
% 48.84/31.45 inference(rewrite,[status(thm)],[])).
% 48.84/31.45 tff(77,plain,
% 48.84/31.45 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s5, c_owned) | (~node56(c_p1, s5)))),
% 48.84/31.45 inference(quant_inst,[status(thm)],[])).
% 48.84/31.45 tff(78,plain,
% 48.84/31.45 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p1, s5, c_owned) | (~node56(c_p1, s5))),
% 48.84/31.45 inference(modus_ponens,[status(thm)],[77, 76])).
% 48.84/31.45 tff(79,plain,
% 48.84/31.45 ($false),
% 48.84/31.45 inference(unit_resolution,[status(thm)],[78, 13, 53, 75])).
% 48.84/31.45 tff(80,plain,(m_processor_v_state(c_p1, s5, c_owned) | (~node56(c_p1, s5))), inference(lemma,lemma(discharge,[]))).
% 48.84/31.45 tff(81,plain,
% 48.84/31.45 (~node56(c_p1, s5)),
% 48.84/31.45 inference(unit_resolution,[status(thm)],[80, 53])).
% 48.84/31.45 tff(82,assumption,(m_processor_v_writable(c_p1, s5)), introduced(assumption)).
% 48.84/31.45 tff(83,assumption,(~node56(c_p1, s5)), introduced(assumption)).
% 48.84/31.45 tff(84,plain,
% 48.84/31.45 (((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p1, s5)) | node56(c_p1, s5))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p1, s5)) | node56(c_p1, s5))),
% 48.84/31.45 inference(rewrite,[status(thm)],[])).
% 48.84/31.45 tff(85,plain,
% 48.84/31.45 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p1, s5)) | node56(c_p1, s5))),
% 48.84/31.45 inference(quant_inst,[status(thm)],[])).
% 48.84/31.45 tff(86,plain,
% 48.84/31.45 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p1, s5)) | node56(c_p1, s5)),
% 48.84/31.45 inference(modus_ponens,[status(thm)],[85, 84])).
% 48.84/31.45 tff(87,plain,
% 48.84/31.45 ($false),
% 48.84/31.45 inference(unit_resolution,[status(thm)],[86, 28, 83, 82])).
% 48.84/31.45 tff(88,plain,((~m_processor_v_writable(c_p1, s5)) | node56(c_p1, s5)), inference(lemma,lemma(discharge,[]))).
% 48.84/31.45 tff(89,plain,
% 48.84/31.45 (~m_processor_v_writable(c_p1, s5)),
% 48.84/31.45 inference(unit_resolution,[status(thm)],[88, 81])).
% 48.84/31.45 tff(90,assumption,(~m_processor_v_writable(c_p1, s5)), introduced(assumption)).
% 48.84/31.45 tff(91,assumption,(node67(s5)), introduced(assumption)).
% 48.84/31.45 tff(92,plain,
% 48.84/31.45 (^[X: $i] : refl((m_processor_v_writable(c_p1, X) | (~node67(X))) <=> (m_processor_v_writable(c_p1, X) | (~node67(X))))),
% 48.84/31.45 inference(bind,[status(th)],[])).
% 48.84/31.45 tff(93,plain,
% 48.84/31.45 (![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X))) <=> ![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))),
% 48.84/31.45 inference(quant_intro,[status(thm)],[92])).
% 48.84/31.45 tff(94,plain,
% 48.84/31.45 (![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X))) <=> ![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))),
% 48.84/31.45 inference(rewrite,[status(thm)],[])).
% 48.84/31.45 tff(95,axiom,(![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty2')).
% 48.84/31.45 tff(96,plain,
% 48.84/31.45 (![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))),
% 48.84/31.45 inference(modus_ponens,[status(thm)],[95, 94])).
% 48.84/31.45 tff(97,plain,(
% 48.84/31.45 ![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))),
% 48.84/31.45 inference(skolemize,[status(sab)],[96])).
% 48.84/31.45 tff(98,plain,
% 48.84/31.45 (![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))),
% 48.84/31.45 inference(modus_ponens,[status(thm)],[97, 93])).
% 48.84/31.45 tff(99,plain,
% 48.84/31.45 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s5) | (~node67(s5)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | m_processor_v_writable(c_p1, s5) | (~node67(s5)))),
% 48.84/31.45 inference(rewrite,[status(thm)],[])).
% 48.84/31.45 tff(100,plain,
% 48.84/31.45 ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s5) | (~node67(s5)))),
% 48.84/31.45 inference(quant_inst,[status(thm)],[])).
% 48.84/31.45 tff(101,plain,
% 48.84/31.45 ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | m_processor_v_writable(c_p1, s5) | (~node67(s5))),
% 48.84/31.45 inference(modus_ponens,[status(thm)],[100, 99])).
% 48.84/31.45 tff(102,plain,
% 48.84/31.45 ($false),
% 48.84/31.45 inference(unit_resolution,[status(thm)],[101, 98, 91, 90])).
% 48.84/31.45 tff(103,plain,((~node67(s5)) | m_processor_v_writable(c_p1, s5)), inference(lemma,lemma(discharge,[]))).
% 48.84/31.45 tff(104,plain,
% 48.84/31.45 (~node67(s5)),
% 48.84/31.45 inference(unit_resolution,[status(thm)],[103, 89])).
% 48.84/31.45 tff(105,assumption,(node56(c_p1, s6)), introduced(assumption)).
% 48.84/31.45 tff(106,assumption,(~m_processor_v_state(c_p1, s6, c_owned)), introduced(assumption)).
% 48.84/31.45 tff(107,plain,
% 48.84/31.45 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s6, c_owned) | (~node56(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p1, s6, c_owned) | (~node56(c_p1, s6)))),
% 48.84/31.45 inference(rewrite,[status(thm)],[])).
% 48.84/31.45 tff(108,plain,
% 48.84/31.45 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s6, c_owned) | (~node56(c_p1, s6)))),
% 48.84/31.45 inference(quant_inst,[status(thm)],[])).
% 48.84/31.45 tff(109,plain,
% 48.84/31.45 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p1, s6, c_owned) | (~node56(c_p1, s6))),
% 48.84/31.45 inference(modus_ponens,[status(thm)],[108, 107])).
% 48.84/31.45 tff(110,plain,
% 48.84/31.45 ($false),
% 48.84/31.45 inference(unit_resolution,[status(thm)],[109, 13, 106, 105])).
% 48.84/31.45 tff(111,plain,(m_processor_v_state(c_p1, s6, c_owned) | (~node56(c_p1, s6))), inference(lemma,lemma(discharge,[]))).
% 48.84/31.45 tff(112,plain,
% 48.84/31.45 (m_processor_v_state(c_p1, s6, c_owned)),
% 48.84/31.45 inference(unit_resolution,[status(thm)],[111, 105])).
% 48.84/31.45 tff(113,assumption,(m_processor_v_state(c_p1, s6, c_owned)), introduced(assumption)).
% 48.84/31.45 tff(114,assumption,(m_processor_v_state(c_p1, s6, c_shared)), introduced(assumption)).
% 48.84/31.45 tff(115,plain,
% 48.84/31.45 (^[I0: $i, X: $i] : refl(((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned))) <=> ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned))))),
% 48.84/31.45 inference(bind,[status(th)],[])).
% 48.84/31.45 tff(116,plain,
% 48.84/31.45 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned))) <=> ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))),
% 48.84/31.45 inference(quant_intro,[status(thm)],[115])).
% 48.84/31.45 tff(117,plain,
% 48.84/31.45 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned))) <=> ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))),
% 48.84/31.45 inference(rewrite,[status(thm)],[])).
% 48.84/31.45 tff(118,axiom,(![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_45')).
% 48.84/31.45 tff(119,plain,
% 48.84/31.45 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))),
% 48.84/31.45 inference(modus_ponens,[status(thm)],[118, 117])).
% 48.84/31.45 tff(120,plain,(
% 48.84/31.45 ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))),
% 48.84/31.45 inference(skolemize,[status(sab)],[119])).
% 48.84/31.45 tff(121,plain,
% 48.84/31.45 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))),
% 48.84/31.45 inference(modus_ponens,[status(thm)],[120, 116])).
% 48.84/31.45 tff(122,plain,
% 48.84/31.45 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_state(c_p1, s6, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_state(c_p1, s6, c_shared)))),
% 48.84/31.45 inference(rewrite,[status(thm)],[])).
% 48.84/31.45 tff(123,plain,
% 48.84/31.45 (((~m_processor_v_state(c_p1, s6, c_shared)) | (~m_processor_v_state(c_p1, s6, c_owned))) <=> ((~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_state(c_p1, s6, c_shared)))),
% 48.84/31.45 inference(rewrite,[status(thm)],[])).
% 48.84/31.45 tff(124,plain,
% 48.84/31.45 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s6, c_shared)) | (~m_processor_v_state(c_p1, s6, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_state(c_p1, s6, c_shared))))),
% 48.84/31.45 inference(monotonicity,[status(thm)],[123])).
% 48.84/31.45 tff(125,plain,
% 48.84/31.45 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s6, c_shared)) | (~m_processor_v_state(c_p1, s6, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_state(c_p1, s6, c_shared)))),
% 48.84/31.45 inference(transitivity,[status(thm)],[124, 122])).
% 48.84/31.45 tff(126,plain,
% 48.84/31.45 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s6, c_shared)) | (~m_processor_v_state(c_p1, s6, c_owned)))),
% 48.84/31.45 inference(quant_inst,[status(thm)],[])).
% 48.84/31.45 tff(127,plain,
% 48.84/31.45 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_state(c_p1, s6, c_shared))),
% 48.84/31.45 inference(modus_ponens,[status(thm)],[126, 125])).
% 48.84/31.45 tff(128,plain,
% 48.84/31.45 ($false),
% 48.84/31.45 inference(unit_resolution,[status(thm)],[127, 121, 114, 113])).
% 48.84/31.45 tff(129,plain,((~m_processor_v_state(c_p1, s6, c_shared)) | (~m_processor_v_state(c_p1, s6, c_owned))), inference(lemma,lemma(discharge,[]))).
% 48.84/31.46 tff(130,plain,
% 48.84/31.46 (~m_processor_v_state(c_p1, s6, c_shared)),
% 48.84/31.46 inference(unit_resolution,[status(thm)],[129, 112])).
% 48.84/31.46 tff(131,plain,
% 48.84/31.46 (^[I0: $i, X: $i] : refl(((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned))) <=> ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned))))),
% 48.84/31.46 inference(bind,[status(th)],[])).
% 48.84/31.46 tff(132,plain,
% 48.84/31.46 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned))) <=> ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))),
% 48.84/31.46 inference(quant_intro,[status(thm)],[131])).
% 48.84/31.46 tff(133,plain,
% 48.84/31.46 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned))) <=> ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))),
% 48.84/31.46 inference(rewrite,[status(thm)],[])).
% 48.84/31.46 tff(134,axiom,(![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_44')).
% 48.84/31.46 tff(135,plain,
% 48.84/31.46 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))),
% 48.84/31.46 inference(modus_ponens,[status(thm)],[134, 133])).
% 48.84/31.46 tff(136,plain,(
% 48.84/31.46 ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))),
% 48.84/31.46 inference(skolemize,[status(sab)],[135])).
% 48.84/31.46 tff(137,plain,
% 48.84/31.46 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))),
% 48.84/31.46 inference(modus_ponens,[status(thm)],[136, 132])).
% 48.84/31.46 tff(138,plain,
% 48.84/31.46 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s6, c_invalid)) | (~m_processor_v_state(c_p1, s6, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s6, c_invalid)) | (~m_processor_v_state(c_p1, s6, c_owned)))),
% 48.84/31.46 inference(rewrite,[status(thm)],[])).
% 48.84/31.46 tff(139,plain,
% 48.84/31.46 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s6, c_invalid)) | (~m_processor_v_state(c_p1, s6, c_owned)))),
% 48.84/31.46 inference(quant_inst,[status(thm)],[])).
% 48.84/31.46 tff(140,plain,
% 48.84/31.46 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s6, c_invalid)) | (~m_processor_v_state(c_p1, s6, c_owned))),
% 48.84/31.46 inference(modus_ponens,[status(thm)],[139, 138])).
% 48.84/31.46 tff(141,plain,
% 48.84/31.46 (~m_processor_v_state(c_p1, s6, c_invalid)),
% 48.84/31.46 inference(unit_resolution,[status(thm)],[140, 137, 113])).
% 48.84/31.46 tff(142,assumption,(~m_processor_v_master(c_p1, s5)), introduced(assumption)).
% 48.84/31.46 tff(143,assumption,(~m_processor_v_state(c_p1, s6, c_invalid)), introduced(assumption)).
% 48.84/31.46 tff(144,plain,
% 48.84/31.46 (^[I0: $i, X: $i] : refl((m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid)) <=> (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid)))),
% 48.84/31.46 inference(bind,[status(th)],[])).
% 48.84/31.46 tff(145,plain,
% 48.84/31.46 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid)) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))),
% 48.84/31.46 inference(quant_intro,[status(thm)],[144])).
% 48.84/31.46 tff(146,plain,
% 48.84/31.46 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid)) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))),
% 48.84/31.46 inference(rewrite,[status(thm)],[])).
% 48.84/31.46 tff(147,plain,
% 48.84/31.46 (^[I0: $i, X: $i] : rewrite(((m_processor_v_state(I0, X, c_invalid) | m_processor_v_state(I0, X, c_shared)) | m_processor_v_state(I0, X, c_owned)) <=> (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid)))),
% 48.84/31.46 inference(bind,[status(th)],[])).
% 48.84/31.46 tff(148,plain,
% 48.84/31.46 (![I0: $i, X: $i] : ((m_processor_v_state(I0, X, c_invalid) | m_processor_v_state(I0, X, c_shared)) | m_processor_v_state(I0, X, c_owned)) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))),
% 48.84/31.46 inference(quant_intro,[status(thm)],[147])).
% 48.84/31.46 tff(149,axiom,(![I0: $i, X: $i] : ((m_processor_v_state(I0, X, c_invalid) | m_processor_v_state(I0, X, c_shared)) | m_processor_v_state(I0, X, c_owned))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_42')).
% 48.84/31.46 tff(150,plain,
% 48.84/31.46 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))),
% 48.84/31.46 inference(modus_ponens,[status(thm)],[149, 148])).
% 48.84/31.46 tff(151,plain,
% 48.84/31.46 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))),
% 48.84/31.46 inference(modus_ponens,[status(thm)],[150, 146])).
% 48.84/31.46 tff(152,plain,(
% 48.84/31.46 ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))),
% 48.84/31.46 inference(skolemize,[status(sab)],[151])).
% 48.84/31.46 tff(153,plain,
% 48.84/31.46 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))),
% 48.84/31.46 inference(modus_ponens,[status(thm)],[152, 145])).
% 48.84/31.46 tff(154,plain,
% 48.84/31.46 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p1, s6, c_owned) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s6, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p1, s6, c_owned) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s6, c_invalid))),
% 48.84/31.46 inference(rewrite,[status(thm)],[])).
% 48.84/31.46 tff(155,plain,
% 48.84/31.46 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p1, s6, c_owned) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s6, c_invalid))),
% 48.84/31.46 inference(quant_inst,[status(thm)],[])).
% 48.84/31.46 tff(156,plain,
% 48.84/31.46 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p1, s6, c_owned) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s6, c_invalid)),
% 48.84/31.46 inference(modus_ponens,[status(thm)],[155, 154])).
% 48.84/31.46 tff(157,plain,
% 48.84/31.46 ($false),
% 48.84/31.46 inference(unit_resolution,[status(thm)],[156, 153, 1, 143, 106])).
% 48.84/31.46 tff(158,plain,(m_processor_v_state(c_p1, s6, c_owned) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s6, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 48.84/31.46 tff(159,plain,
% 48.84/31.46 (m_processor_v_state(c_p1, s6, c_owned)),
% 48.84/31.46 inference(unit_resolution,[status(thm)],[158, 1, 143])).
% 48.84/31.46 tff(160,assumption,(~m_processor_v_state(c_p1, s5, c_shared)), introduced(assumption)).
% 48.84/31.46 tff(161,plain,
% 48.84/31.46 (^[I0: $i, X: $i] : refl((m_processor_v_state(I0, X, c_shared) | (~node36(I0, X))) <=> (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X))))),
% 48.84/31.46 inference(bind,[status(th)],[])).
% 48.84/31.46 tff(162,plain,
% 48.84/31.46 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))),
% 48.84/31.46 inference(quant_intro,[status(thm)],[161])).
% 48.84/31.46 tff(163,plain,
% 48.84/31.46 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))),
% 48.84/31.46 inference(rewrite,[status(thm)],[])).
% 48.84/31.46 tff(164,axiom,(![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_63')).
% 48.84/31.46 tff(165,plain,
% 48.84/31.46 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))),
% 48.84/31.46 inference(modus_ponens,[status(thm)],[164, 163])).
% 48.84/31.46 tff(166,plain,(
% 48.84/31.46 ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))),
% 48.84/31.46 inference(skolemize,[status(sab)],[165])).
% 48.84/31.46 tff(167,plain,
% 48.84/31.46 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))),
% 48.84/31.46 inference(modus_ponens,[status(thm)],[166, 162])).
% 48.84/31.46 tff(168,plain,
% 48.84/31.46 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p1, s5, c_shared) | (~node36(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p1, s5, c_shared) | (~node36(c_p1, s5)))),
% 48.84/31.46 inference(rewrite,[status(thm)],[])).
% 48.84/31.46 tff(169,plain,
% 48.84/31.46 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p1, s5, c_shared) | (~node36(c_p1, s5)))),
% 48.84/31.46 inference(quant_inst,[status(thm)],[])).
% 48.84/31.46 tff(170,plain,
% 48.84/31.46 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p1, s5, c_shared) | (~node36(c_p1, s5))),
% 48.84/31.46 inference(modus_ponens,[status(thm)],[169, 168])).
% 48.84/31.46 tff(171,plain,
% 48.84/31.46 (~node36(c_p1, s5)),
% 48.84/31.46 inference(unit_resolution,[status(thm)],[170, 167, 160])).
% 48.84/31.46 tff(172,assumption,(node37(c_p1, s5, s6)), introduced(assumption)).
% 48.84/31.46 tff(173,plain,
% 48.84/31.46 (^[V: $i, Y: $i, I0: $i, X: $i] : refl((m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y))) <=> (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y))))),
% 48.84/31.46 inference(bind,[status(th)],[])).
% 48.84/31.46 tff(174,plain,
% 48.84/31.46 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))),
% 48.84/31.46 inference(quant_intro,[status(thm)],[173])).
% 48.84/31.46 tff(175,plain,
% 48.84/31.46 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))),
% 48.84/31.46 inference(rewrite,[status(thm)],[])).
% 48.84/31.46 tff(176,plain,
% 48.84/31.46 (^[V: $i, Y: $i, I0: $i, X: $i] : rewrite((((~m_processor_v_state(I0, Y, V)) | m_processor_v_state(I0, X, V)) | (~node37(I0, X, Y))) <=> (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y))))),
% 48.84/31.46 inference(bind,[status(th)],[])).
% 48.84/31.46 tff(177,plain,
% 48.84/31.46 (![V: $i, Y: $i, I0: $i, X: $i] : (((~m_processor_v_state(I0, Y, V)) | m_processor_v_state(I0, X, V)) | (~node37(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))),
% 48.84/31.46 inference(quant_intro,[status(thm)],[176])).
% 48.84/31.46 tff(178,axiom,(![V: $i, Y: $i, I0: $i, X: $i] : (((~m_processor_v_state(I0, Y, V)) | m_processor_v_state(I0, X, V)) | (~node37(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_66')).
% 48.84/31.46 tff(179,plain,
% 48.84/31.46 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))),
% 48.84/31.46 inference(modus_ponens,[status(thm)],[178, 177])).
% 48.84/31.46 tff(180,plain,
% 48.84/31.46 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))),
% 48.84/31.46 inference(modus_ponens,[status(thm)],[179, 175])).
% 48.84/31.46 tff(181,plain,(
% 48.84/31.46 ![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))),
% 48.84/31.46 inference(skolemize,[status(sab)],[180])).
% 48.84/31.46 tff(182,plain,
% 48.84/31.46 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))),
% 48.84/31.46 inference(modus_ponens,[status(thm)],[181, 174])).
% 48.84/31.46 tff(183,plain,
% 48.84/31.46 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s5, c_owned) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~node37(c_p1, s5, s6)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s5, c_owned) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~node37(c_p1, s5, s6)))),
% 48.84/31.46 inference(rewrite,[status(thm)],[])).
% 48.84/31.46 tff(184,plain,
% 48.84/31.46 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s5, c_owned) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~node37(c_p1, s5, s6)))),
% 48.84/31.46 inference(quant_inst,[status(thm)],[])).
% 48.84/31.46 tff(185,plain,
% 48.84/31.46 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s5, c_owned) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~node37(c_p1, s5, s6))),
% 48.84/31.46 inference(modus_ponens,[status(thm)],[184, 183])).
% 48.84/31.46 tff(186,plain,
% 48.84/31.46 ($false),
% 48.84/31.46 inference(unit_resolution,[status(thm)],[185, 182, 53, 172, 113])).
% 48.84/31.46 tff(187,plain,((~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_state(c_p1, s5, c_owned) | (~node37(c_p1, s5, s6))), inference(lemma,lemma(discharge,[]))).
% 48.84/31.46 tff(188,plain,
% 48.84/31.46 (~node37(c_p1, s5, s6)),
% 48.84/31.46 inference(unit_resolution,[status(thm)],[187, 113, 53])).
% 48.84/31.46 tff(189,assumption,(~node38(c_p1, s5, s6)), introduced(assumption)).
% 48.84/31.46 tff(190,plain,
% 48.84/31.46 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | trans(X, Y)) <=> ((~succ(X, Y)) | trans(X, Y)))),
% 48.84/31.46 inference(bind,[status(th)],[])).
% 48.84/31.46 tff(191,plain,
% 48.84/31.46 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 48.84/31.46 inference(quant_intro,[status(thm)],[190])).
% 48.84/31.46 tff(192,plain,
% 48.84/31.46 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 48.84/31.46 inference(rewrite,[status(thm)],[])).
% 48.84/31.46 tff(193,axiom,(![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound11')).
% 48.84/31.46 tff(194,plain,
% 48.84/31.46 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 48.84/31.46 inference(modus_ponens,[status(thm)],[193, 192])).
% 48.84/31.46 tff(195,plain,(
% 48.84/31.46 ![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 48.84/31.46 inference(skolemize,[status(sab)],[194])).
% 48.84/31.46 tff(196,plain,
% 48.84/31.46 (![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))),
% 48.84/31.46 inference(modus_ponens,[status(thm)],[195, 191])).
% 48.84/31.46 tff(197,plain,
% 48.84/31.46 (succ(s5, s6) <=> succ(s5, s6)),
% 48.84/31.46 inference(rewrite,[status(thm)],[])).
% 48.84/31.46 tff(198,axiom,(succ(s5, s6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound6')).
% 48.84/31.46 tff(199,plain,
% 48.84/31.46 (succ(s5, s6)),
% 48.84/31.46 inference(modus_ponens,[status(thm)],[198, 197])).
% 48.84/31.46 tff(200,plain,
% 48.84/31.46 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s5, s6)) | trans(s5, s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s5, s6)) | trans(s5, s6))),
% 48.84/31.46 inference(rewrite,[status(thm)],[])).
% 48.84/31.46 tff(201,plain,
% 48.84/31.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s5, s6)) | trans(s5, s6))),
% 48.84/31.46 inference(quant_inst,[status(thm)],[])).
% 48.84/31.46 tff(202,plain,
% 48.84/31.46 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s5, s6)) | trans(s5, s6)),
% 48.84/31.46 inference(modus_ponens,[status(thm)],[201, 200])).
% 48.84/31.46 tff(203,plain,
% 48.84/31.46 (trans(s5, s6)),
% 48.84/31.46 inference(unit_resolution,[status(thm)],[202, 199, 196])).
% 48.84/31.46 tff(204,plain,
% 48.84/31.46 (^[Y: $i, I0: $i, X: $i] : refl(((~trans(X, Y)) | node38(I0, X, Y)) <=> ((~trans(X, Y)) | node38(I0, X, Y)))),
% 48.84/31.46 inference(bind,[status(th)],[])).
% 48.84/31.46 tff(205,plain,
% 48.84/31.46 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y)) <=> ![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))),
% 48.84/31.46 inference(quant_intro,[status(thm)],[204])).
% 48.84/31.46 tff(206,plain,
% 48.84/31.46 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y)) <=> ![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))),
% 48.84/31.46 inference(rewrite,[status(thm)],[])).
% 48.84/31.46 tff(207,axiom,(![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_72')).
% 48.84/31.46 tff(208,plain,
% 48.84/31.46 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))),
% 48.84/31.46 inference(modus_ponens,[status(thm)],[207, 206])).
% 48.84/31.46 tff(209,plain,(
% 48.84/31.46 ![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))),
% 48.84/31.46 inference(skolemize,[status(sab)],[208])).
% 48.84/31.46 tff(210,plain,
% 48.84/31.46 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))),
% 48.84/31.46 inference(modus_ponens,[status(thm)],[209, 205])).
% 48.84/31.46 tff(211,plain,
% 48.84/31.46 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s5, s6)) | node38(c_p1, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s5, s6)) | node38(c_p1, s5, s6))),
% 48.84/31.46 inference(rewrite,[status(thm)],[])).
% 48.84/31.46 tff(212,plain,
% 48.84/31.46 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s5, s6)) | node38(c_p1, s5, s6))),
% 48.84/31.46 inference(quant_inst,[status(thm)],[])).
% 48.84/31.46 tff(213,plain,
% 48.84/31.46 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s5, s6)) | node38(c_p1, s5, s6)),
% 48.84/31.46 inference(modus_ponens,[status(thm)],[212, 211])).
% 48.84/31.46 tff(214,plain,
% 48.84/31.46 ($false),
% 48.84/31.46 inference(unit_resolution,[status(thm)],[213, 210, 203, 189])).
% 48.84/31.46 tff(215,plain,(node38(c_p1, s5, s6)), inference(lemma,lemma(discharge,[]))).
% 48.84/31.46 tff(216,plain,
% 48.84/31.46 (^[Y: $i, I0: $i, X: $i] : refl((m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)) <=> (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)))),
% 48.84/31.46 inference(bind,[status(th)],[])).
% 48.84/31.46 tff(217,plain,
% 48.84/31.46 (![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 48.84/31.46 inference(quant_intro,[status(thm)],[216])).
% 48.84/31.46 tff(218,plain,
% 48.84/31.46 (![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 48.84/31.46 inference(rewrite,[status(thm)],[])).
% 48.84/31.46 tff(219,plain,
% 48.84/31.46 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | node36(I0, X)) <=> (node36(I0, X) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X))), ((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | node36(I0, X)) | m_processor_v_state(I0, X, c_shared)) <=> ((node36(I0, X) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)) | m_processor_v_state(I0, X, c_shared)))), rewrite(((node36(I0, X) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)) | m_processor_v_state(I0, X, c_shared)) <=> (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X))), ((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | node36(I0, X)) | m_processor_v_state(I0, X, c_shared)) <=> (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)))), (((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | node36(I0, X)) | m_processor_v_state(I0, X, c_shared)) | node37(I0, X, Y)) <=> ((m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)) | node37(I0, X, Y)))), rewrite(((m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)) | node37(I0, X, Y)) <=> (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | m_processor_v_abort(I0, X))), (((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | node36(I0, X)) | m_processor_v_state(I0, X, c_shared)) | node37(I0, X, Y)) <=> (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | m_processor_v_abort(I0, X)))), ((((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | node36(I0, X)) | m_processor_v_state(I0, X, c_shared)) | node37(I0, X, Y)) | (~node38(I0, X, Y))) <=> ((m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | m_processor_v_abort(I0, X)) | (~node38(I0, X, Y))))), rewrite(((m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | m_processor_v_abort(I0, X)) | (~node38(I0, X, Y))) <=> (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))), ((((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | node36(I0, X)) | m_processor_v_state(I0, X, c_shared)) | node37(I0, X, Y)) | (~node38(I0, X, Y))) <=> (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))))),
% 48.84/31.46 inference(bind,[status(th)],[])).
% 48.84/31.46 tff(220,plain,
% 48.84/31.46 (![Y: $i, I0: $i, X: $i] : (((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | node36(I0, X)) | m_processor_v_state(I0, X, c_shared)) | node37(I0, X, Y)) | (~node38(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 48.84/31.46 inference(quant_intro,[status(thm)],[219])).
% 48.84/31.46 tff(221,axiom,(![Y: $i, I0: $i, X: $i] : (((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | node36(I0, X)) | m_processor_v_state(I0, X, c_shared)) | node37(I0, X, Y)) | (~node38(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_71')).
% 48.84/31.46 tff(222,plain,
% 48.84/31.46 (![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 48.84/31.46 inference(modus_ponens,[status(thm)],[221, 220])).
% 48.84/31.46 tff(223,plain,
% 48.84/31.46 (![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 48.84/31.46 inference(modus_ponens,[status(thm)],[222, 218])).
% 48.84/31.46 tff(224,plain,(
% 48.84/31.46 ![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 48.84/31.46 inference(skolemize,[status(sab)],[223])).
% 48.84/31.46 tff(225,plain,
% 48.84/31.46 (![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 48.84/31.46 inference(modus_ponens,[status(thm)],[224, 217])).
% 48.84/31.46 tff(226,plain,
% 48.84/31.46 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s5) | m_processor_v_state(c_p1, s5, c_shared) | node36(c_p1, s5) | m_processor_v_abort(c_p1, s5) | node37(c_p1, s5, s6) | (~node38(c_p1, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s5) | m_processor_v_state(c_p1, s5, c_shared) | node36(c_p1, s5) | m_processor_v_abort(c_p1, s5) | node37(c_p1, s5, s6) | (~node38(c_p1, s5, s6)))),
% 48.84/31.46 inference(rewrite,[status(thm)],[])).
% 48.84/31.46 tff(227,plain,
% 48.84/31.46 ((m_processor_v_state(c_p1, s5, c_shared) | node36(c_p1, s5) | m_processor_v_master(c_p1, s5) | node37(c_p1, s5, s6) | (~node38(c_p1, s5, s6)) | m_processor_v_abort(c_p1, s5)) <=> (m_processor_v_master(c_p1, s5) | m_processor_v_state(c_p1, s5, c_shared) | node36(c_p1, s5) | m_processor_v_abort(c_p1, s5) | node37(c_p1, s5, s6) | (~node38(c_p1, s5, s6)))),
% 48.84/31.46 inference(rewrite,[status(thm)],[])).
% 48.84/31.46 tff(228,plain,
% 48.84/31.46 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s5, c_shared) | node36(c_p1, s5) | m_processor_v_master(c_p1, s5) | node37(c_p1, s5, s6) | (~node38(c_p1, s5, s6)) | m_processor_v_abort(c_p1, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s5) | m_processor_v_state(c_p1, s5, c_shared) | node36(c_p1, s5) | m_processor_v_abort(c_p1, s5) | node37(c_p1, s5, s6) | (~node38(c_p1, s5, s6))))),
% 48.84/31.46 inference(monotonicity,[status(thm)],[227])).
% 48.84/31.46 tff(229,plain,
% 48.84/31.46 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s5, c_shared) | node36(c_p1, s5) | m_processor_v_master(c_p1, s5) | node37(c_p1, s5, s6) | (~node38(c_p1, s5, s6)) | m_processor_v_abort(c_p1, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s5) | m_processor_v_state(c_p1, s5, c_shared) | node36(c_p1, s5) | m_processor_v_abort(c_p1, s5) | node37(c_p1, s5, s6) | (~node38(c_p1, s5, s6)))),
% 48.84/31.46 inference(transitivity,[status(thm)],[228, 226])).
% 48.84/31.46 tff(230,plain,
% 48.84/31.46 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s5, c_shared) | node36(c_p1, s5) | m_processor_v_master(c_p1, s5) | node37(c_p1, s5, s6) | (~node38(c_p1, s5, s6)) | m_processor_v_abort(c_p1, s5))),
% 48.84/31.46 inference(quant_inst,[status(thm)],[])).
% 48.84/31.46 tff(231,plain,
% 48.84/31.46 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s5) | m_processor_v_state(c_p1, s5, c_shared) | node36(c_p1, s5) | m_processor_v_abort(c_p1, s5) | node37(c_p1, s5, s6) | (~node38(c_p1, s5, s6))),
% 48.84/31.46 inference(modus_ponens,[status(thm)],[230, 229])).
% 48.84/31.46 tff(232,plain,
% 48.84/31.46 (m_processor_v_master(c_p1, s5) | m_processor_v_state(c_p1, s5, c_shared) | node36(c_p1, s5) | m_processor_v_abort(c_p1, s5) | node37(c_p1, s5, s6)),
% 48.84/31.46 inference(unit_resolution,[status(thm)],[231, 225, 215])).
% 48.84/31.46 tff(233,plain,
% 48.84/31.46 (m_processor_v_abort(c_p1, s5)),
% 48.84/31.46 inference(unit_resolution,[status(thm)],[232, 188, 142, 160, 171])).
% 48.84/31.46 tff(234,plain,
% 48.84/31.46 (^[Y: $i, I0: $i, X: $i] : refl((node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X))) <=> (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X))))),
% 48.84/31.46 inference(bind,[status(th)],[])).
% 48.84/31.46 tff(235,plain,
% 48.84/31.46 (![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X))) <=> ![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))),
% 48.84/31.46 inference(quant_intro,[status(thm)],[234])).
% 48.84/31.46 tff(236,plain,
% 48.84/31.46 (![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X))) <=> ![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))),
% 48.84/31.46 inference(rewrite,[status(thm)],[])).
% 48.84/31.46 tff(237,plain,
% 48.84/31.46 (^[Y: $i, I0: $i, X: $i] : rewrite((((~m_processor_v_abort(I0, X)) | node32(I0, X, Y)) | (~node38(I0, X, Y))) <=> (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X))))),
% 48.84/31.46 inference(bind,[status(th)],[])).
% 48.84/31.46 tff(238,plain,
% 48.84/31.46 (![Y: $i, I0: $i, X: $i] : (((~m_processor_v_abort(I0, X)) | node32(I0, X, Y)) | (~node38(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))),
% 48.84/31.46 inference(quant_intro,[status(thm)],[237])).
% 48.84/31.46 tff(239,axiom,(![Y: $i, I0: $i, X: $i] : (((~m_processor_v_abort(I0, X)) | node32(I0, X, Y)) | (~node38(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_67')).
% 48.84/31.46 tff(240,plain,
% 48.84/31.46 (![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))),
% 48.84/31.46 inference(modus_ponens,[status(thm)],[239, 238])).
% 48.84/31.46 tff(241,plain,
% 48.84/31.46 (![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))),
% 48.84/31.46 inference(modus_ponens,[status(thm)],[240, 236])).
% 48.84/31.46 tff(242,plain,(
% 48.84/31.46 ![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))),
% 48.84/31.46 inference(skolemize,[status(sab)],[241])).
% 48.84/31.46 tff(243,plain,
% 48.84/31.46 (![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))),
% 48.84/31.46 inference(modus_ponens,[status(thm)],[242, 235])).
% 48.84/31.46 tff(244,plain,
% 48.84/31.46 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s5, s6) | (~m_processor_v_abort(c_p1, s5)) | (~node38(c_p1, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p1, s5, s6) | (~m_processor_v_abort(c_p1, s5)) | (~node38(c_p1, s5, s6)))),
% 48.84/31.46 inference(rewrite,[status(thm)],[])).
% 48.84/31.46 tff(245,plain,
% 48.84/31.46 ((node32(c_p1, s5, s6) | (~node38(c_p1, s5, s6)) | (~m_processor_v_abort(c_p1, s5))) <=> (node32(c_p1, s5, s6) | (~m_processor_v_abort(c_p1, s5)) | (~node38(c_p1, s5, s6)))),
% 48.84/31.46 inference(rewrite,[status(thm)],[])).
% 48.84/31.46 tff(246,plain,
% 48.84/31.46 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s5, s6) | (~node38(c_p1, s5, s6)) | (~m_processor_v_abort(c_p1, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s5, s6) | (~m_processor_v_abort(c_p1, s5)) | (~node38(c_p1, s5, s6))))),
% 48.84/31.46 inference(monotonicity,[status(thm)],[245])).
% 48.84/31.46 tff(247,plain,
% 48.84/31.46 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s5, s6) | (~node38(c_p1, s5, s6)) | (~m_processor_v_abort(c_p1, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p1, s5, s6) | (~m_processor_v_abort(c_p1, s5)) | (~node38(c_p1, s5, s6)))),
% 48.84/31.46 inference(transitivity,[status(thm)],[246, 244])).
% 48.84/31.46 tff(248,plain,
% 48.84/31.46 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s5, s6) | (~node38(c_p1, s5, s6)) | (~m_processor_v_abort(c_p1, s5)))),
% 48.84/31.46 inference(quant_inst,[status(thm)],[])).
% 48.84/31.46 tff(249,plain,
% 48.84/31.46 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p1, s5, s6) | (~m_processor_v_abort(c_p1, s5)) | (~node38(c_p1, s5, s6))),
% 48.84/31.46 inference(modus_ponens,[status(thm)],[248, 247])).
% 48.84/31.46 tff(250,plain,
% 48.84/31.46 (node32(c_p1, s5, s6) | (~m_processor_v_abort(c_p1, s5))),
% 48.84/31.46 inference(unit_resolution,[status(thm)],[249, 243, 215])).
% 48.84/31.46 tff(251,plain,
% 48.84/31.46 (node32(c_p1, s5, s6)),
% 48.84/31.46 inference(unit_resolution,[status(thm)],[250, 233])).
% 48.84/31.46 tff(252,plain,
% 48.84/31.46 (^[V: $i, Y: $i, I0: $i, X: $i] : refl(((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V))) <=> ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V))))),
% 48.84/31.46 inference(bind,[status(th)],[])).
% 48.84/31.46 tff(253,plain,
% 48.84/31.46 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))),
% 48.84/31.47 inference(quant_intro,[status(thm)],[252])).
% 48.84/31.47 tff(254,plain,
% 48.84/31.47 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))),
% 48.84/31.47 inference(rewrite,[status(thm)],[])).
% 48.84/31.47 tff(255,plain,
% 48.84/31.47 (^[V: $i, Y: $i, I0: $i, X: $i] : rewrite((((~m_processor_v_state(I0, Y, V)) | m_processor_v_state(I0, X, V)) | (~node32(I0, X, Y))) <=> ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V))))),
% 48.84/31.47 inference(bind,[status(th)],[])).
% 48.84/31.47 tff(256,plain,
% 48.84/31.47 (![V: $i, Y: $i, I0: $i, X: $i] : (((~m_processor_v_state(I0, Y, V)) | m_processor_v_state(I0, X, V)) | (~node32(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))),
% 48.84/31.47 inference(quant_intro,[status(thm)],[255])).
% 48.84/31.47 tff(257,axiom,(![V: $i, Y: $i, I0: $i, X: $i] : (((~m_processor_v_state(I0, Y, V)) | m_processor_v_state(I0, X, V)) | (~node32(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_50')).
% 48.84/31.47 tff(258,plain,
% 48.84/31.47 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))),
% 48.84/31.47 inference(modus_ponens,[status(thm)],[257, 256])).
% 48.84/31.47 tff(259,plain,
% 48.84/31.47 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))),
% 48.84/31.47 inference(modus_ponens,[status(thm)],[258, 254])).
% 48.84/31.47 tff(260,plain,(
% 48.84/31.47 ![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))),
% 48.84/31.47 inference(skolemize,[status(sab)],[259])).
% 48.84/31.47 tff(261,plain,
% 48.84/31.47 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))),
% 48.84/31.47 inference(modus_ponens,[status(thm)],[260, 253])).
% 48.84/31.47 tff(262,plain,
% 48.84/31.47 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p1, s5, c_owned) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~node32(c_p1, s5, s6)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p1, s5, c_owned) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~node32(c_p1, s5, s6)))),
% 48.84/31.47 inference(rewrite,[status(thm)],[])).
% 48.84/31.47 tff(263,plain,
% 48.84/31.47 (((~node32(c_p1, s5, s6)) | m_processor_v_state(c_p1, s5, c_owned) | (~m_processor_v_state(c_p1, s6, c_owned))) <=> (m_processor_v_state(c_p1, s5, c_owned) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~node32(c_p1, s5, s6)))),
% 48.84/31.47 inference(rewrite,[status(thm)],[])).
% 48.84/31.47 tff(264,plain,
% 48.84/31.47 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p1, s5, s6)) | m_processor_v_state(c_p1, s5, c_owned) | (~m_processor_v_state(c_p1, s6, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p1, s5, c_owned) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~node32(c_p1, s5, s6))))),
% 48.84/31.47 inference(monotonicity,[status(thm)],[263])).
% 48.84/31.47 tff(265,plain,
% 48.84/31.47 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p1, s5, s6)) | m_processor_v_state(c_p1, s5, c_owned) | (~m_processor_v_state(c_p1, s6, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p1, s5, c_owned) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~node32(c_p1, s5, s6)))),
% 48.84/31.47 inference(transitivity,[status(thm)],[264, 262])).
% 48.84/31.47 tff(266,plain,
% 48.84/31.47 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p1, s5, s6)) | m_processor_v_state(c_p1, s5, c_owned) | (~m_processor_v_state(c_p1, s6, c_owned)))),
% 48.84/31.47 inference(quant_inst,[status(thm)],[])).
% 48.84/31.47 tff(267,plain,
% 48.84/31.47 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p1, s5, c_owned) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~node32(c_p1, s5, s6))),
% 48.84/31.47 inference(modus_ponens,[status(thm)],[266, 265])).
% 48.84/31.47 tff(268,plain,
% 48.84/31.47 ($false),
% 48.84/31.47 inference(unit_resolution,[status(thm)],[267, 261, 53, 251, 113])).
% 48.84/31.47 tff(269,plain,((~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_master(c_p1, s5) | m_processor_v_state(c_p1, s5, c_shared)), inference(lemma,lemma(discharge,[]))).
% 48.84/31.47 tff(270,plain,
% 48.84/31.47 (m_processor_v_state(c_p1, s5, c_shared)),
% 48.84/31.47 inference(unit_resolution,[status(thm)],[269, 142, 159, 53])).
% 48.84/31.47 tff(271,assumption,(~node34(c_p1, s5, s6)), introduced(assumption)).
% 48.84/31.47 tff(272,assumption,(m_processor_v_state(c_p1, s5, c_shared)), introduced(assumption)).
% 48.84/31.47 tff(273,assumption,(~m_processor_v_abort(c_p1, s5)), introduced(assumption)).
% 48.84/31.47 tff(274,plain,
% 48.84/31.47 (^[Y: $i, I0: $i, X: $i] : refl((node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)) <=> (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)))),
% 48.84/31.47 inference(bind,[status(th)],[])).
% 48.84/31.47 tff(275,plain,
% 48.84/31.47 (![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)) <=> ![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 48.84/31.47 inference(quant_intro,[status(thm)],[274])).
% 48.84/31.47 tff(276,plain,
% 48.84/31.47 (![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)) <=> ![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 48.84/31.47 inference(rewrite,[status(thm)],[])).
% 48.84/31.47 tff(277,plain,
% 48.84/31.47 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) <=> ((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X))), (((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) | node34(I0, X, Y)) <=> (((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X)) | node34(I0, X, Y)))), rewrite((((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X)) | node34(I0, X, Y)) <=> (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X))), (((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) | node34(I0, X, Y)) <=> (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X)))), ((((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) | node34(I0, X, Y)) | (~node38(I0, X, Y))) <=> ((node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X)) | (~node38(I0, X, Y))))), rewrite(((node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X)) | (~node38(I0, X, Y))) <=> (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))), ((((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) | node34(I0, X, Y)) | (~node38(I0, X, Y))) <=> (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))))),
% 48.84/31.47 inference(bind,[status(th)],[])).
% 48.84/31.47 tff(278,plain,
% 48.84/31.47 (![Y: $i, I0: $i, X: $i] : (((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) | node34(I0, X, Y)) | (~node38(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 48.84/31.47 inference(quant_intro,[status(thm)],[277])).
% 48.84/31.47 tff(279,axiom,(![Y: $i, I0: $i, X: $i] : (((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) | node34(I0, X, Y)) | (~node38(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_68')).
% 48.84/31.47 tff(280,plain,
% 48.84/31.47 (![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 48.84/31.47 inference(modus_ponens,[status(thm)],[279, 278])).
% 48.84/31.47 tff(281,plain,
% 48.84/31.47 (![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 48.84/31.47 inference(modus_ponens,[status(thm)],[280, 276])).
% 48.84/31.47 tff(282,plain,(
% 48.84/31.47 ![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 48.84/31.47 inference(skolemize,[status(sab)],[281])).
% 48.84/31.47 tff(283,plain,
% 48.84/31.47 (![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 48.84/31.47 inference(modus_ponens,[status(thm)],[282, 275])).
% 48.84/31.47 tff(284,plain,
% 48.84/31.47 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p1, s5)) | m_processor_v_abort(c_p1, s5) | (~node38(c_p1, s5, s6)) | node34(c_p1, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s5)) | m_processor_v_abort(c_p1, s5) | (~node38(c_p1, s5, s6)) | node34(c_p1, s5, s6))),
% 48.84/31.47 inference(rewrite,[status(thm)],[])).
% 48.84/31.47 tff(285,plain,
% 48.84/31.47 ((node34(c_p1, s5, s6) | (~m_processor_v_master(c_p1, s5)) | (~node38(c_p1, s5, s6)) | m_processor_v_abort(c_p1, s5)) <=> ((~m_processor_v_master(c_p1, s5)) | m_processor_v_abort(c_p1, s5) | (~node38(c_p1, s5, s6)) | node34(c_p1, s5, s6))),
% 48.84/31.47 inference(rewrite,[status(thm)],[])).
% 48.84/31.47 tff(286,plain,
% 48.84/31.47 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s5, s6) | (~m_processor_v_master(c_p1, s5)) | (~node38(c_p1, s5, s6)) | m_processor_v_abort(c_p1, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p1, s5)) | m_processor_v_abort(c_p1, s5) | (~node38(c_p1, s5, s6)) | node34(c_p1, s5, s6)))),
% 48.84/31.47 inference(monotonicity,[status(thm)],[285])).
% 48.84/31.47 tff(287,plain,
% 48.84/31.47 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s5, s6) | (~m_processor_v_master(c_p1, s5)) | (~node38(c_p1, s5, s6)) | m_processor_v_abort(c_p1, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s5)) | m_processor_v_abort(c_p1, s5) | (~node38(c_p1, s5, s6)) | node34(c_p1, s5, s6))),
% 48.84/31.47 inference(transitivity,[status(thm)],[286, 284])).
% 48.84/31.47 tff(288,plain,
% 48.84/31.47 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s5, s6) | (~m_processor_v_master(c_p1, s5)) | (~node38(c_p1, s5, s6)) | m_processor_v_abort(c_p1, s5))),
% 48.84/31.47 inference(quant_inst,[status(thm)],[])).
% 48.84/31.47 tff(289,plain,
% 48.84/31.47 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s5)) | m_processor_v_abort(c_p1, s5) | (~node38(c_p1, s5, s6)) | node34(c_p1, s5, s6)),
% 48.84/31.47 inference(modus_ponens,[status(thm)],[288, 287])).
% 48.84/31.47 tff(290,plain,
% 48.84/31.47 ((~m_processor_v_master(c_p1, s5)) | m_processor_v_abort(c_p1, s5) | node34(c_p1, s5, s6)),
% 48.84/31.47 inference(unit_resolution,[status(thm)],[289, 283, 215])).
% 48.84/31.47 tff(291,plain,
% 48.84/31.47 (~m_processor_v_master(c_p1, s5)),
% 48.84/31.47 inference(unit_resolution,[status(thm)],[290, 273, 271])).
% 48.84/31.47 tff(292,plain,
% 48.84/31.47 (^[Y: $i, I0: $i, X: $i] : refl(((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)) <=> ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)))),
% 48.84/31.47 inference(bind,[status(th)],[])).
% 48.84/31.47 tff(293,plain,
% 48.84/31.47 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 48.84/31.47 inference(quant_intro,[status(thm)],[292])).
% 48.84/31.47 tff(294,plain,
% 48.84/31.47 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 48.84/31.47 inference(rewrite,[status(thm)],[])).
% 48.84/31.47 tff(295,plain,
% 48.84/31.47 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | m_processor_v_master(I0, X)) <=> (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X))), ((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) <=> ((m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)) | (~m_processor_v_state(I0, X, c_shared))))), rewrite(((m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) <=> ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X))), ((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) <=> ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)))), (((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) | node35(I0, X)) <=> (((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)) | node35(I0, X)))), rewrite((((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)) | node35(I0, X)) <=> ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_abort(I0, X))), (((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) | node35(I0, X)) <=> ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_abort(I0, X)))), ((((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) | node35(I0, X)) | m_processor_v_state(I0, Y, c_invalid)) <=> (((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_abort(I0, X)) | m_processor_v_state(I0, Y, c_invalid)))), rewrite((((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_abort(I0, X)) | m_processor_v_state(I0, Y, c_invalid)) <=> ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X))), ((((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) | node35(I0, X)) | m_processor_v_state(I0, Y, c_invalid)) <=> ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)))), (((((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) | node35(I0, X)) | m_processor_v_state(I0, Y, c_invalid)) | (~node38(I0, X, Y))) <=> (((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)) | (~node38(I0, X, Y))))), rewrite((((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)) | (~node38(I0, X, Y))) <=> ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))), (((((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) | node35(I0, X)) | m_processor_v_state(I0, Y, c_invalid)) | (~node38(I0, X, Y))) <=> ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))))),
% 48.84/31.47 inference(bind,[status(th)],[])).
% 48.84/31.47 tff(296,plain,
% 48.84/31.47 (![Y: $i, I0: $i, X: $i] : ((((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) | node35(I0, X)) | m_processor_v_state(I0, Y, c_invalid)) | (~node38(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 48.84/31.47 inference(quant_intro,[status(thm)],[295])).
% 48.84/31.47 tff(297,axiom,(![Y: $i, I0: $i, X: $i] : ((((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) | node35(I0, X)) | m_processor_v_state(I0, Y, c_invalid)) | (~node38(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_69')).
% 48.84/31.47 tff(298,plain,
% 48.84/31.47 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 48.84/31.47 inference(modus_ponens,[status(thm)],[297, 296])).
% 48.84/31.47 tff(299,plain,
% 48.84/31.47 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 48.84/31.47 inference(modus_ponens,[status(thm)],[298, 294])).
% 48.84/31.47 tff(300,plain,(
% 48.84/31.47 ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 48.84/31.47 inference(skolemize,[status(sab)],[299])).
% 48.84/31.47 tff(301,plain,
% 48.84/31.47 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 48.84/31.47 inference(modus_ponens,[status(thm)],[300, 293])).
% 48.84/31.47 tff(302,plain,
% 48.84/31.47 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p1, s5) | m_processor_v_master(c_p1, s5) | (~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_abort(c_p1, s5) | m_processor_v_state(c_p1, s6, c_invalid) | (~node38(c_p1, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p1, s5) | m_processor_v_master(c_p1, s5) | (~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_abort(c_p1, s5) | m_processor_v_state(c_p1, s6, c_invalid) | (~node38(c_p1, s5, s6)))),
% 48.84/31.47 inference(rewrite,[status(thm)],[])).
% 48.84/31.47 tff(303,plain,
% 48.84/31.47 (((~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_master(c_p1, s5) | node35(c_p1, s5) | m_processor_v_state(c_p1, s6, c_invalid) | (~node38(c_p1, s5, s6)) | m_processor_v_abort(c_p1, s5)) <=> (node35(c_p1, s5) | m_processor_v_master(c_p1, s5) | (~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_abort(c_p1, s5) | m_processor_v_state(c_p1, s6, c_invalid) | (~node38(c_p1, s5, s6)))),
% 48.84/31.47 inference(rewrite,[status(thm)],[])).
% 48.84/31.47 tff(304,plain,
% 48.84/31.47 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_master(c_p1, s5) | node35(c_p1, s5) | m_processor_v_state(c_p1, s6, c_invalid) | (~node38(c_p1, s5, s6)) | m_processor_v_abort(c_p1, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p1, s5) | m_processor_v_master(c_p1, s5) | (~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_abort(c_p1, s5) | m_processor_v_state(c_p1, s6, c_invalid) | (~node38(c_p1, s5, s6))))),
% 48.84/31.47 inference(monotonicity,[status(thm)],[303])).
% 48.84/31.47 tff(305,plain,
% 48.84/31.47 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_master(c_p1, s5) | node35(c_p1, s5) | m_processor_v_state(c_p1, s6, c_invalid) | (~node38(c_p1, s5, s6)) | m_processor_v_abort(c_p1, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p1, s5) | m_processor_v_master(c_p1, s5) | (~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_abort(c_p1, s5) | m_processor_v_state(c_p1, s6, c_invalid) | (~node38(c_p1, s5, s6)))),
% 48.84/31.47 inference(transitivity,[status(thm)],[304, 302])).
% 48.84/31.47 tff(306,plain,
% 48.84/31.47 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_master(c_p1, s5) | node35(c_p1, s5) | m_processor_v_state(c_p1, s6, c_invalid) | (~node38(c_p1, s5, s6)) | m_processor_v_abort(c_p1, s5))),
% 48.84/31.47 inference(quant_inst,[status(thm)],[])).
% 48.84/31.47 tff(307,plain,
% 48.84/31.47 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p1, s5) | m_processor_v_master(c_p1, s5) | (~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_abort(c_p1, s5) | m_processor_v_state(c_p1, s6, c_invalid) | (~node38(c_p1, s5, s6))),
% 48.84/31.47 inference(modus_ponens,[status(thm)],[306, 305])).
% 48.84/31.47 tff(308,plain,
% 48.84/31.47 (node35(c_p1, s5) | m_processor_v_master(c_p1, s5) | (~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_abort(c_p1, s5) | m_processor_v_state(c_p1, s6, c_invalid)),
% 48.84/31.47 inference(unit_resolution,[status(thm)],[307, 301, 215])).
% 48.84/31.47 tff(309,plain,
% 48.84/31.47 (node35(c_p1, s5)),
% 48.84/31.47 inference(unit_resolution,[status(thm)],[308, 291, 272, 143, 273])).
% 48.84/31.47 tff(310,plain,
% 48.84/31.47 (^[I0: $i, X: $i] : refl(((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X))) <=> ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X))))),
% 48.84/31.47 inference(bind,[status(th)],[])).
% 48.84/31.47 tff(311,plain,
% 48.84/31.47 (![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))),
% 48.84/31.47 inference(quant_intro,[status(thm)],[310])).
% 48.84/31.47 tff(312,plain,
% 48.84/31.47 (![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))),
% 48.84/31.47 inference(rewrite,[status(thm)],[])).
% 48.84/31.47 tff(313,axiom,(![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_60')).
% 48.84/31.47 tff(314,plain,
% 48.84/31.47 (![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))),
% 48.84/31.47 inference(modus_ponens,[status(thm)],[313, 312])).
% 48.84/31.47 tff(315,plain,(
% 48.84/31.47 ![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))),
% 48.84/31.47 inference(skolemize,[status(sab)],[314])).
% 48.84/31.47 tff(316,plain,
% 48.84/31.47 (![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))),
% 48.84/31.47 inference(modus_ponens,[status(thm)],[315, 311])).
% 48.84/31.47 tff(317,plain,
% 48.84/31.47 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | (~node35(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | (~node35(c_p1, s5)))),
% 48.84/31.47 inference(rewrite,[status(thm)],[])).
% 48.84/31.47 tff(318,plain,
% 48.84/31.47 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | (~node35(c_p1, s5)))),
% 48.84/31.47 inference(quant_inst,[status(thm)],[])).
% 48.84/31.47 tff(319,plain,
% 48.84/31.47 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | (~node35(c_p1, s5))),
% 48.84/31.47 inference(modus_ponens,[status(thm)],[318, 317])).
% 48.84/31.47 tff(320,plain,
% 48.84/31.47 (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)),
% 48.84/31.47 inference(unit_resolution,[status(thm)],[319, 316, 309])).
% 48.84/31.47 tff(321,plain,
% 48.84/31.47 (^[I0: $i, X: $i] : refl(((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X))) <=> ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X))))),
% 48.84/31.47 inference(bind,[status(th)],[])).
% 48.84/31.47 tff(322,plain,
% 48.84/31.47 (![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))),
% 48.84/31.47 inference(quant_intro,[status(thm)],[321])).
% 48.84/31.47 tff(323,plain,
% 48.84/31.47 (![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))),
% 48.84/31.47 inference(rewrite,[status(thm)],[])).
% 48.84/31.47 tff(324,axiom,(![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_61')).
% 48.84/31.47 tff(325,plain,
% 48.84/31.47 (![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))),
% 48.84/31.47 inference(modus_ponens,[status(thm)],[324, 323])).
% 48.84/31.47 tff(326,plain,(
% 48.84/31.47 ![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))),
% 48.84/31.47 inference(skolemize,[status(sab)],[325])).
% 48.84/31.47 tff(327,plain,
% 48.84/31.47 (![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))),
% 48.84/31.47 inference(modus_ponens,[status(thm)],[326, 322])).
% 48.84/31.47 tff(328,plain,
% 48.84/31.47 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s5, c_invalidate)) | (~node35(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s5, c_invalidate)) | (~node35(c_p1, s5)))),
% 48.84/31.47 inference(rewrite,[status(thm)],[])).
% 48.84/31.47 tff(329,plain,
% 48.84/31.47 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s5, c_invalidate)) | (~node35(c_p1, s5)))),
% 48.84/31.47 inference(quant_inst,[status(thm)],[])).
% 48.84/31.47 tff(330,plain,
% 48.84/31.47 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s5, c_invalidate)) | (~node35(c_p1, s5))),
% 48.84/31.47 inference(modus_ponens,[status(thm)],[329, 328])).
% 48.84/31.47 tff(331,plain,
% 48.84/31.47 (~m_processor_v_CMD(c_p1, s5, c_invalidate)),
% 48.84/31.47 inference(unit_resolution,[status(thm)],[330, 327, 309])).
% 48.84/31.47 tff(332,plain,
% 48.84/31.47 (^[Y: $i, I0: $i, X: $i] : refl(((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)) <=> ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)))),
% 48.84/31.47 inference(bind,[status(th)],[])).
% 48.84/31.47 tff(333,plain,
% 48.84/31.47 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 48.84/31.47 inference(quant_intro,[status(thm)],[332])).
% 48.84/31.47 tff(334,plain,
% 48.84/31.47 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X)) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 48.84/31.47 inference(rewrite,[status(thm)],[])).
% 48.84/31.47 tff(335,plain,
% 48.84/31.47 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) <=> (m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid))), (((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) | m_processor_v_abort(I0, X)) <=> ((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) | m_processor_v_abort(I0, X)))), rewrite(((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) | m_processor_v_abort(I0, X)) <=> (m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X))), (((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) | m_processor_v_abort(I0, X)) <=> (m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)))), ((((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) | m_processor_v_abort(I0, X)) | m_processor_v_master(I0, X)) <=> ((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)) | m_processor_v_master(I0, X)))), rewrite(((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)) | m_processor_v_master(I0, X)) <=> (m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X))), ((((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) | m_processor_v_abort(I0, X)) | m_processor_v_master(I0, X)) <=> (m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)))), (((((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) | m_processor_v_abort(I0, X)) | m_processor_v_master(I0, X)) | node36(I0, X)) <=> ((m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)) | node36(I0, X)))), rewrite(((m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)) | node36(I0, X)) <=> (node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X))), (((((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) | m_processor_v_abort(I0, X)) | m_processor_v_master(I0, X)) | node36(I0, X)) <=> (node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)))), ((((((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) | m_processor_v_abort(I0, X)) | m_processor_v_master(I0, X)) | node36(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) <=> ((node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)) | (~m_processor_v_state(I0, X, c_shared))))), rewrite(((node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) <=> ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X))), ((((((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) | m_processor_v_abort(I0, X)) | m_processor_v_master(I0, X)) | node36(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) <=> ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)))), (((((((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) | m_processor_v_abort(I0, X)) | m_processor_v_master(I0, X)) | node36(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) | (~node38(I0, X, Y))) <=> (((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)) | (~node38(I0, X, Y))))), rewrite((((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_abort(I0, X)) | (~node38(I0, X, Y))) <=> ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))), (((((((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) | m_processor_v_abort(I0, X)) | m_processor_v_master(I0, X)) | node36(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) | (~node38(I0, X, Y))) <=> ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))))),
% 48.84/31.47 inference(bind,[status(th)],[])).
% 48.84/31.47 tff(336,plain,
% 48.84/31.47 (![Y: $i, I0: $i, X: $i] : ((((((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) | m_processor_v_abort(I0, X)) | m_processor_v_master(I0, X)) | node36(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) | (~node38(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 48.84/31.47 inference(quant_intro,[status(thm)],[335])).
% 48.84/31.47 tff(337,axiom,(![Y: $i, I0: $i, X: $i] : ((((((m_processor_v_state(I0, Y, c_shared) | m_processor_v_state(I0, Y, c_invalid)) | m_processor_v_abort(I0, X)) | m_processor_v_master(I0, X)) | node36(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) | (~node38(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_70')).
% 48.84/31.47 tff(338,plain,
% 48.84/31.47 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 48.84/31.48 inference(modus_ponens,[status(thm)],[337, 336])).
% 48.84/31.48 tff(339,plain,
% 48.84/31.48 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 48.84/31.48 inference(modus_ponens,[status(thm)],[338, 334])).
% 48.84/31.48 tff(340,plain,(
% 48.84/31.48 ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 48.84/31.48 inference(skolemize,[status(sab)],[339])).
% 48.84/31.48 tff(341,plain,
% 48.84/31.48 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))),
% 48.84/31.48 inference(modus_ponens,[status(thm)],[340, 333])).
% 48.84/31.48 tff(342,plain,
% 48.84/31.48 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s5) | (~m_processor_v_state(c_p1, s5, c_shared)) | node36(c_p1, s5) | m_processor_v_abort(c_p1, s5) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s6, c_invalid) | (~node38(c_p1, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s5) | (~m_processor_v_state(c_p1, s5, c_shared)) | node36(c_p1, s5) | m_processor_v_abort(c_p1, s5) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s6, c_invalid) | (~node38(c_p1, s5, s6)))),
% 48.84/31.48 inference(rewrite,[status(thm)],[])).
% 48.84/31.48 tff(343,plain,
% 48.84/31.48 (((~m_processor_v_state(c_p1, s5, c_shared)) | node36(c_p1, s5) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_master(c_p1, s5) | m_processor_v_state(c_p1, s6, c_invalid) | (~node38(c_p1, s5, s6)) | m_processor_v_abort(c_p1, s5)) <=> (m_processor_v_master(c_p1, s5) | (~m_processor_v_state(c_p1, s5, c_shared)) | node36(c_p1, s5) | m_processor_v_abort(c_p1, s5) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s6, c_invalid) | (~node38(c_p1, s5, s6)))),
% 48.84/31.48 inference(rewrite,[status(thm)],[])).
% 48.84/31.48 tff(344,plain,
% 48.84/31.48 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s5, c_shared)) | node36(c_p1, s5) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_master(c_p1, s5) | m_processor_v_state(c_p1, s6, c_invalid) | (~node38(c_p1, s5, s6)) | m_processor_v_abort(c_p1, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s5) | (~m_processor_v_state(c_p1, s5, c_shared)) | node36(c_p1, s5) | m_processor_v_abort(c_p1, s5) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s6, c_invalid) | (~node38(c_p1, s5, s6))))),
% 48.84/31.48 inference(monotonicity,[status(thm)],[343])).
% 48.84/31.48 tff(345,plain,
% 48.84/31.48 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s5, c_shared)) | node36(c_p1, s5) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_master(c_p1, s5) | m_processor_v_state(c_p1, s6, c_invalid) | (~node38(c_p1, s5, s6)) | m_processor_v_abort(c_p1, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s5) | (~m_processor_v_state(c_p1, s5, c_shared)) | node36(c_p1, s5) | m_processor_v_abort(c_p1, s5) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s6, c_invalid) | (~node38(c_p1, s5, s6)))),
% 48.84/31.48 inference(transitivity,[status(thm)],[344, 342])).
% 48.84/31.48 tff(346,plain,
% 48.84/31.48 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s5, c_shared)) | node36(c_p1, s5) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_master(c_p1, s5) | m_processor_v_state(c_p1, s6, c_invalid) | (~node38(c_p1, s5, s6)) | m_processor_v_abort(c_p1, s5))),
% 48.84/31.48 inference(quant_inst,[status(thm)],[])).
% 48.84/31.48 tff(347,plain,
% 48.84/31.48 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s5) | (~m_processor_v_state(c_p1, s5, c_shared)) | node36(c_p1, s5) | m_processor_v_abort(c_p1, s5) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s6, c_invalid) | (~node38(c_p1, s5, s6))),
% 48.84/31.48 inference(modus_ponens,[status(thm)],[346, 345])).
% 48.84/31.48 tff(348,plain,
% 48.84/31.48 (m_processor_v_master(c_p1, s5) | (~m_processor_v_state(c_p1, s5, c_shared)) | node36(c_p1, s5) | m_processor_v_abort(c_p1, s5) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s6, c_invalid)),
% 48.84/31.48 inference(unit_resolution,[status(thm)],[347, 341, 215])).
% 48.84/31.48 tff(349,plain,
% 48.84/31.48 (node36(c_p1, s5)),
% 48.84/31.48 inference(unit_resolution,[status(thm)],[348, 291, 272, 273, 1, 143])).
% 48.84/31.48 tff(350,plain,
% 48.84/31.48 (^[I0: $i, X: $i] : refl((m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned)) <=> (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned)))),
% 48.84/31.48 inference(bind,[status(th)],[])).
% 48.84/31.48 tff(351,plain,
% 48.84/31.48 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned)) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))),
% 48.84/31.48 inference(quant_intro,[status(thm)],[350])).
% 48.84/31.48 tff(352,plain,
% 48.84/31.48 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned)) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))),
% 48.84/31.48 inference(rewrite,[status(thm)],[])).
% 48.84/31.48 tff(353,plain,
% 48.84/31.48 (^[I0: $i, X: $i] : trans(monotonicity(rewrite((m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_invalidate)) <=> (m_processor_v_CMD(I0, X, c_invalidate) | m_processor_v_CMD(I0, X, c_read_h_owned))), (((m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_invalidate)) | (~node36(I0, X))) <=> ((m_processor_v_CMD(I0, X, c_invalidate) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node36(I0, X))))), rewrite(((m_processor_v_CMD(I0, X, c_invalidate) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node36(I0, X))) <=> (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))), (((m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_invalidate)) | (~node36(I0, X))) <=> (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))))),
% 48.84/31.48 inference(bind,[status(th)],[])).
% 48.84/31.48 tff(354,plain,
% 48.84/31.48 (![I0: $i, X: $i] : ((m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_invalidate)) | (~node36(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))),
% 48.84/31.48 inference(quant_intro,[status(thm)],[353])).
% 48.84/31.48 tff(355,axiom,(![I0: $i, X: $i] : ((m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_invalidate)) | (~node36(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_64')).
% 48.84/31.48 tff(356,plain,
% 48.84/31.48 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))),
% 48.84/31.48 inference(modus_ponens,[status(thm)],[355, 354])).
% 48.84/31.48 tff(357,plain,
% 48.84/31.48 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))),
% 48.84/31.48 inference(modus_ponens,[status(thm)],[356, 352])).
% 48.84/31.48 tff(358,plain,(
% 48.84/31.48 ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))),
% 48.84/31.48 inference(skolemize,[status(sab)],[357])).
% 48.84/31.48 tff(359,plain,
% 48.84/31.48 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))),
% 48.84/31.48 inference(modus_ponens,[status(thm)],[358, 351])).
% 48.84/31.48 tff(360,plain,
% 48.84/31.48 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | (~node36(c_p1, s5)) | m_processor_v_CMD(c_p1, s5, c_invalidate))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | (~node36(c_p1, s5)) | m_processor_v_CMD(c_p1, s5, c_invalidate))),
% 48.84/31.48 inference(rewrite,[status(thm)],[])).
% 48.84/31.48 tff(361,plain,
% 48.84/31.48 ((m_processor_v_CMD(c_p1, s5, c_invalidate) | (~node36(c_p1, s5)) | m_processor_v_CMD(c_p1, s5, c_read_h_owned)) <=> (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | (~node36(c_p1, s5)) | m_processor_v_CMD(c_p1, s5, c_invalidate))),
% 48.84/31.48 inference(rewrite,[status(thm)],[])).
% 48.84/31.48 tff(362,plain,
% 48.84/31.48 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s5, c_invalidate) | (~node36(c_p1, s5)) | m_processor_v_CMD(c_p1, s5, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | (~node36(c_p1, s5)) | m_processor_v_CMD(c_p1, s5, c_invalidate)))),
% 48.84/31.48 inference(monotonicity,[status(thm)],[361])).
% 48.84/31.48 tff(363,plain,
% 48.84/31.48 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s5, c_invalidate) | (~node36(c_p1, s5)) | m_processor_v_CMD(c_p1, s5, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | (~node36(c_p1, s5)) | m_processor_v_CMD(c_p1, s5, c_invalidate))),
% 48.84/31.48 inference(transitivity,[status(thm)],[362, 360])).
% 48.84/31.48 tff(364,plain,
% 48.84/31.48 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s5, c_invalidate) | (~node36(c_p1, s5)) | m_processor_v_CMD(c_p1, s5, c_read_h_owned))),
% 48.84/31.48 inference(quant_inst,[status(thm)],[])).
% 48.84/31.48 tff(365,plain,
% 48.84/31.48 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | (~node36(c_p1, s5)) | m_processor_v_CMD(c_p1, s5, c_invalidate)),
% 48.84/31.48 inference(modus_ponens,[status(thm)],[364, 363])).
% 48.84/31.48 tff(366,plain,
% 48.84/31.48 (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_invalidate)),
% 48.84/31.48 inference(unit_resolution,[status(thm)],[365, 359, 349])).
% 48.84/31.48 tff(367,plain,
% 48.84/31.48 ($false),
% 48.84/31.48 inference(unit_resolution,[status(thm)],[366, 331, 320])).
% 48.84/31.48 tff(368,plain,(m_processor_v_abort(c_p1, s5) | (~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_state(c_p1, s6, c_invalid) | m_processor_v_state(c_p1, s6, c_shared) | node34(c_p1, s5, s6)), inference(lemma,lemma(discharge,[]))).
% 48.84/31.48 tff(369,plain,
% 48.84/31.48 (m_processor_v_abort(c_p1, s5)),
% 48.84/31.48 inference(unit_resolution,[status(thm)],[368, 272, 143, 1, 271])).
% 48.84/31.48 tff(370,plain,
% 48.84/31.48 (node32(c_p1, s5, s6)),
% 48.84/31.48 inference(unit_resolution,[status(thm)],[250, 369])).
% 48.84/31.48 tff(371,plain,
% 48.84/31.48 (^[V: $i, Y: $i, I0: $i, X: $i] : refl(((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V)) <=> ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V)))),
% 48.84/31.48 inference(bind,[status(th)],[])).
% 48.84/31.48 tff(372,plain,
% 48.84/31.48 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V)) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))),
% 48.84/31.48 inference(quant_intro,[status(thm)],[371])).
% 48.84/31.48 tff(373,plain,
% 48.84/31.48 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V)) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))),
% 48.84/31.48 inference(rewrite,[status(thm)],[])).
% 48.84/31.48 tff(374,plain,
% 48.84/31.48 (^[V: $i, Y: $i, I0: $i, X: $i] : trans(monotonicity(rewrite((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) <=> ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))), (((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) | (~node32(I0, X, Y))) <=> (((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V)) | (~node32(I0, X, Y))))), rewrite((((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V)) | (~node32(I0, X, Y))) <=> ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))), (((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) | (~node32(I0, X, Y))) <=> ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))))),
% 48.84/31.48 inference(bind,[status(th)],[])).
% 48.84/31.48 tff(375,plain,
% 48.84/31.48 (![V: $i, Y: $i, I0: $i, X: $i] : ((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) | (~node32(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))),
% 48.84/31.48 inference(quant_intro,[status(thm)],[374])).
% 48.84/31.48 tff(376,axiom,(![V: $i, Y: $i, I0: $i, X: $i] : ((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) | (~node32(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_49')).
% 48.84/31.48 tff(377,plain,
% 48.84/31.48 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))),
% 48.84/31.48 inference(modus_ponens,[status(thm)],[376, 375])).
% 48.84/31.48 tff(378,plain,
% 48.84/31.48 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))),
% 48.84/31.48 inference(modus_ponens,[status(thm)],[377, 373])).
% 48.84/31.48 tff(379,plain,(
% 48.84/31.48 ![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))),
% 48.84/31.48 inference(skolemize,[status(sab)],[378])).
% 48.84/31.48 tff(380,plain,
% 48.84/31.48 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))),
% 48.84/31.48 inference(modus_ponens,[status(thm)],[379, 372])).
% 48.84/31.48 tff(381,plain,
% 48.84/31.48 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_state(c_p1, s6, c_shared) | (~node32(c_p1, s5, s6)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_state(c_p1, s6, c_shared) | (~node32(c_p1, s5, s6)))),
% 48.84/31.48 inference(rewrite,[status(thm)],[])).
% 48.84/31.48 tff(382,plain,
% 48.84/31.48 (((~node32(c_p1, s5, s6)) | (~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_state(c_p1, s6, c_shared)) <=> ((~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_state(c_p1, s6, c_shared) | (~node32(c_p1, s5, s6)))),
% 48.84/31.48 inference(rewrite,[status(thm)],[])).
% 48.84/31.48 tff(383,plain,
% 48.84/31.48 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s5, s6)) | (~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_state(c_p1, s6, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_state(c_p1, s6, c_shared) | (~node32(c_p1, s5, s6))))),
% 48.84/31.48 inference(monotonicity,[status(thm)],[382])).
% 48.84/31.48 tff(384,plain,
% 48.84/31.48 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s5, s6)) | (~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_state(c_p1, s6, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_state(c_p1, s6, c_shared) | (~node32(c_p1, s5, s6)))),
% 48.84/31.48 inference(transitivity,[status(thm)],[383, 381])).
% 48.84/31.48 tff(385,plain,
% 48.84/31.48 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s5, s6)) | (~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_state(c_p1, s6, c_shared))),
% 48.84/31.48 inference(quant_inst,[status(thm)],[])).
% 48.84/31.48 tff(386,plain,
% 48.84/31.48 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_state(c_p1, s6, c_shared) | (~node32(c_p1, s5, s6))),
% 48.84/31.48 inference(modus_ponens,[status(thm)],[385, 384])).
% 48.84/31.48 tff(387,plain,
% 48.84/31.48 ($false),
% 48.84/31.48 inference(unit_resolution,[status(thm)],[386, 380, 272, 1, 370])).
% 48.84/31.48 tff(388,plain,((~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s6, c_invalid) | node34(c_p1, s5, s6)), inference(lemma,lemma(discharge,[]))).
% 48.84/31.48 tff(389,plain,
% 48.84/31.48 (node34(c_p1, s5, s6)),
% 48.84/31.48 inference(unit_resolution,[status(thm)],[388, 270, 143, 1])).
% 48.84/31.48 tff(390,plain,
% 48.84/31.48 (^[V: $i, Y: $i, I0: $i, X: $i] : refl(((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y))) <=> ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y))))),
% 48.84/31.48 inference(bind,[status(th)],[])).
% 48.84/31.48 tff(391,plain,
% 48.84/31.48 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))),
% 48.84/31.48 inference(quant_intro,[status(thm)],[390])).
% 48.84/31.48 tff(392,plain,
% 48.84/31.48 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))),
% 48.84/31.48 inference(rewrite,[status(thm)],[])).
% 48.84/31.48 tff(393,plain,
% 48.84/31.48 (^[V: $i, Y: $i, I0: $i, X: $i] : trans(monotonicity(rewrite((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) <=> ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))), (((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) | (~node33(I0, X, Y))) <=> (((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y))))), rewrite((((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y))) <=> ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))), (((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) | (~node33(I0, X, Y))) <=> ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))))),
% 48.84/31.48 inference(bind,[status(th)],[])).
% 48.84/31.48 tff(394,plain,
% 48.84/31.48 (![V: $i, Y: $i, I0: $i, X: $i] : ((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) | (~node33(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))),
% 48.84/31.48 inference(quant_intro,[status(thm)],[393])).
% 48.84/31.48 tff(395,axiom,(![V: $i, Y: $i, I0: $i, X: $i] : ((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) | (~node33(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_51')).
% 48.84/31.48 tff(396,plain,
% 48.84/31.48 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))),
% 48.84/31.48 inference(modus_ponens,[status(thm)],[395, 394])).
% 48.84/31.48 tff(397,plain,
% 48.84/31.48 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))),
% 48.84/31.48 inference(modus_ponens,[status(thm)],[396, 392])).
% 48.84/31.48 tff(398,plain,(
% 48.84/31.48 ![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))),
% 48.84/31.48 inference(skolemize,[status(sab)],[397])).
% 48.84/31.48 tff(399,plain,
% 48.84/31.48 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))),
% 48.84/31.48 inference(modus_ponens,[status(thm)],[398, 391])).
% 48.84/31.48 tff(400,plain,
% 48.84/31.48 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_state(c_p1, s6, c_shared) | (~node33(c_p1, s5, s6)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_state(c_p1, s6, c_shared) | (~node33(c_p1, s5, s6)))),
% 48.84/31.48 inference(rewrite,[status(thm)],[])).
% 48.84/31.48 tff(401,plain,
% 48.84/31.48 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_state(c_p1, s6, c_shared) | (~node33(c_p1, s5, s6)))),
% 48.84/31.48 inference(quant_inst,[status(thm)],[])).
% 48.84/31.48 tff(402,plain,
% 48.84/31.48 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_state(c_p1, s6, c_shared) | (~node33(c_p1, s5, s6))),
% 48.84/31.48 inference(modus_ponens,[status(thm)],[401, 400])).
% 48.84/31.48 tff(403,plain,
% 48.84/31.48 (~node33(c_p1, s5, s6)),
% 48.84/31.48 inference(unit_resolution,[status(thm)],[402, 399, 270, 1])).
% 48.84/31.48 tff(404,plain,
% 48.84/31.48 (node35(c_p1, s5)),
% 48.84/31.48 inference(unit_resolution,[status(thm)],[308, 270, 142, 143, 273])).
% 48.84/31.48 tff(405,plain,
% 48.84/31.48 (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)),
% 48.84/31.48 inference(unit_resolution,[status(thm)],[319, 316, 404])).
% 48.84/31.48 tff(406,assumption,(node34(c_p1, s5, s6)), introduced(assumption)).
% 48.84/31.48 tff(407,plain,
% 48.84/31.48 (^[Y: $i, I0: $i, X: $i] : refl(((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) <=> ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared))))),
% 48.84/31.48 inference(bind,[status(th)],[])).
% 48.84/31.48 tff(408,plain,
% 48.84/31.48 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))),
% 48.84/31.48 inference(quant_intro,[status(thm)],[407])).
% 48.84/31.48 tff(409,plain,
% 48.84/31.48 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))),
% 48.84/31.48 inference(rewrite,[status(thm)],[])).
% 48.84/31.48 tff(410,plain,
% 48.84/31.48 (^[Y: $i, I0: $i, X: $i] : rewrite((((~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_state(I0, Y, c_shared)) | (~node34(I0, X, Y))) <=> ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared))))),
% 48.84/31.48 inference(bind,[status(th)],[])).
% 48.84/31.48 tff(411,plain,
% 48.84/31.48 (![Y: $i, I0: $i, X: $i] : (((~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_state(I0, Y, c_shared)) | (~node34(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))),
% 48.84/31.48 inference(quant_intro,[status(thm)],[410])).
% 48.84/31.48 tff(412,axiom,(![Y: $i, I0: $i, X: $i] : (((~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_state(I0, Y, c_shared)) | (~node34(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_53')).
% 48.84/31.48 tff(413,plain,
% 48.84/31.48 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))),
% 48.84/31.48 inference(modus_ponens,[status(thm)],[412, 411])).
% 48.84/31.48 tff(414,plain,
% 48.84/31.48 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))),
% 48.84/31.48 inference(modus_ponens,[status(thm)],[413, 409])).
% 48.84/31.48 tff(415,plain,(
% 48.84/31.48 ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))),
% 48.84/31.48 inference(skolemize,[status(sab)],[414])).
% 48.84/31.48 tff(416,plain,
% 48.84/31.48 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))),
% 48.84/31.48 inference(modus_ponens,[status(thm)],[415, 408])).
% 48.84/31.48 tff(417,plain,
% 48.84/31.48 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p1, s6, c_shared) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p1, s6, c_shared) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)))),
% 48.84/31.48 inference(rewrite,[status(thm)],[])).
% 48.84/31.48 tff(418,plain,
% 48.84/31.48 (((~node34(c_p1, s5, s6)) | m_processor_v_state(c_p1, s6, c_shared) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared))) <=> (m_processor_v_state(c_p1, s6, c_shared) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)))),
% 48.84/31.48 inference(rewrite,[status(thm)],[])).
% 48.84/31.48 tff(419,plain,
% 48.84/31.48 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s5, s6)) | m_processor_v_state(c_p1, s6, c_shared) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p1, s6, c_shared) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared))))),
% 48.84/31.48 inference(monotonicity,[status(thm)],[418])).
% 48.84/31.48 tff(420,plain,
% 48.84/31.48 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s5, s6)) | m_processor_v_state(c_p1, s6, c_shared) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p1, s6, c_shared) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)))),
% 48.84/31.48 inference(transitivity,[status(thm)],[419, 417])).
% 48.84/31.48 tff(421,plain,
% 48.84/31.48 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s5, s6)) | m_processor_v_state(c_p1, s6, c_shared) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)))),
% 48.84/31.48 inference(quant_inst,[status(thm)],[])).
% 48.84/31.48 tff(422,plain,
% 48.84/31.48 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p1, s6, c_shared) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared))),
% 48.84/31.48 inference(modus_ponens,[status(thm)],[421, 420])).
% 48.84/31.48 tff(423,plain,
% 48.84/31.48 (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)),
% 48.84/31.48 inference(unit_resolution,[status(thm)],[422, 416, 1, 406])).
% 48.84/31.48 tff(424,assumption,(~m_processor_v_CMD(c_p1, s5, c_read_h_owned)), introduced(assumption)).
% 48.84/31.48 tff(425,assumption,(~node33(c_p1, s5, s6)), introduced(assumption)).
% 48.84/31.48 tff(426,plain,
% 48.84/31.48 (m_processor_v_state(c_p1, s6, c_shared) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared))),
% 48.84/31.48 inference(unit_resolution,[status(thm)],[422, 416, 406])).
% 48.84/31.48 tff(427,plain,
% 48.84/31.48 (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)),
% 48.84/31.48 inference(unit_resolution,[status(thm)],[426, 1])).
% 48.84/31.48 tff(428,assumption,(~m_processor_v_CMD(c_p1, s5, c_write_h_invalid)), introduced(assumption)).
% 48.84/31.48 tff(429,plain,
% 48.84/31.48 (^[Y: $i, I0: $i, X: $i] : refl(((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) <=> ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))))),
% 48.84/31.48 inference(bind,[status(th)],[])).
% 48.84/31.48 tff(430,plain,
% 48.84/31.48 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))),
% 48.84/31.48 inference(quant_intro,[status(thm)],[429])).
% 48.84/31.48 tff(431,plain,
% 48.84/31.48 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))),
% 48.84/31.48 inference(rewrite,[status(thm)],[])).
% 48.84/31.48 tff(432,plain,
% 48.84/31.48 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned))), (((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid))), (((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid)))), ((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))), ((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))))), (((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))), (((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))))), ((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)) | (~node34(I0, X, Y))) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | (~node34(I0, X, Y))))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | (~node34(I0, X, Y))) <=> ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))), ((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)) | (~node34(I0, X, Y))) <=> ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))))),
% 48.84/31.49 inference(bind,[status(th)],[])).
% 48.84/31.49 tff(433,plain,
% 48.84/31.49 (![Y: $i, I0: $i, X: $i] : (((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)) | (~node34(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))),
% 48.84/31.49 inference(quant_intro,[status(thm)],[432])).
% 48.84/31.49 tff(434,axiom,(![Y: $i, I0: $i, X: $i] : (((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)) | (~node34(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_56')).
% 48.84/31.49 tff(435,plain,
% 48.84/31.49 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))),
% 48.84/31.49 inference(modus_ponens,[status(thm)],[434, 433])).
% 48.84/31.49 tff(436,plain,
% 48.84/31.49 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))),
% 48.84/31.49 inference(modus_ponens,[status(thm)],[435, 431])).
% 48.84/31.49 tff(437,plain,(
% 48.84/31.49 ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))),
% 48.84/31.49 inference(skolemize,[status(sab)],[436])).
% 48.84/31.49 tff(438,plain,
% 48.84/31.49 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))),
% 48.84/31.49 inference(modus_ponens,[status(thm)],[437, 430])).
% 48.84/31.49 tff(439,plain,
% 48.84/31.49 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_invalid) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_invalid) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid)))),
% 48.84/31.49 inference(rewrite,[status(thm)],[])).
% 48.84/31.49 tff(440,plain,
% 48.84/31.49 (((~node34(c_p1, s5, s6)) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_state(c_p1, s6, c_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid))) <=> (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_invalid) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid)))),
% 48.88/31.49 inference(rewrite,[status(thm)],[])).
% 48.88/31.49 tff(441,plain,
% 48.88/31.49 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s5, s6)) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_state(c_p1, s6, c_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_invalid) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid))))),
% 48.88/31.49 inference(monotonicity,[status(thm)],[440])).
% 48.88/31.49 tff(442,plain,
% 48.88/31.49 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s5, s6)) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_state(c_p1, s6, c_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_invalid) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid)))),
% 48.88/31.49 inference(transitivity,[status(thm)],[441, 439])).
% 48.88/31.49 tff(443,plain,
% 48.88/31.49 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s5, s6)) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_state(c_p1, s6, c_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid)))),
% 48.88/31.49 inference(quant_inst,[status(thm)],[])).
% 48.88/31.49 tff(444,plain,
% 48.88/31.49 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_invalid) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid))),
% 48.88/31.49 inference(modus_ponens,[status(thm)],[443, 442])).
% 48.88/31.49 tff(445,plain,
% 48.88/31.49 (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid))),
% 48.88/31.49 inference(unit_resolution,[status(thm)],[444, 438, 143, 406])).
% 48.88/31.49 tff(446,plain,
% 48.88/31.49 (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid)),
% 48.88/31.49 inference(unit_resolution,[status(thm)],[445, 424, 428, 427])).
% 48.88/31.49 tff(447,plain,
% 48.88/31.49 (^[Y: $i, I0: $i, X: $i] : refl(((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) <=> ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared))))),
% 48.88/31.49 inference(bind,[status(th)],[])).
% 48.88/31.49 tff(448,plain,
% 48.88/31.49 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))),
% 48.88/31.49 inference(quant_intro,[status(thm)],[447])).
% 48.88/31.49 tff(449,plain,
% 48.88/31.49 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))),
% 48.88/31.49 inference(rewrite,[status(thm)],[])).
% 48.88/31.49 tff(450,plain,
% 48.88/31.49 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned))), (((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid))), (((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid)))), ((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))), ((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))), (((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_shared))))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))), (((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared))))), ((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) | m_processor_v_state(I0, Y, c_shared)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) | m_processor_v_state(I0, Y, c_shared)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) | m_processor_v_state(I0, Y, c_shared)) <=> (m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))), ((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) | m_processor_v_state(I0, Y, c_shared)) <=> (m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared))))), (((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) | m_processor_v_state(I0, Y, c_shared)) | (~node34(I0, X, Y))) <=> ((m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) | (~node34(I0, X, Y))))), rewrite(((m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) | (~node34(I0, X, Y))) <=> ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))), (((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) | m_processor_v_state(I0, Y, c_shared)) | (~node34(I0, X, Y))) <=> ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))))),
% 48.88/31.49 inference(bind,[status(th)],[])).
% 48.88/31.49 tff(451,plain,
% 48.88/31.49 (![Y: $i, I0: $i, X: $i] : ((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) | m_processor_v_state(I0, Y, c_shared)) | (~node34(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))),
% 48.88/31.49 inference(quant_intro,[status(thm)],[450])).
% 48.88/31.49 tff(452,axiom,(![Y: $i, I0: $i, X: $i] : ((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_CMD(I0, X, c_write_h_shared))) | m_processor_v_state(I0, Y, c_shared)) | (~node34(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_57')).
% 48.88/31.49 tff(453,plain,
% 48.88/31.49 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))),
% 48.88/31.49 inference(modus_ponens,[status(thm)],[452, 451])).
% 48.88/31.49 tff(454,plain,
% 48.88/31.49 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))),
% 48.88/31.49 inference(modus_ponens,[status(thm)],[453, 449])).
% 48.88/31.49 tff(455,plain,(
% 48.88/31.49 ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))),
% 48.88/31.49 inference(skolemize,[status(sab)],[454])).
% 48.88/31.49 tff(456,plain,
% 48.88/31.49 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))),
% 48.88/31.49 inference(modus_ponens,[status(thm)],[455, 448])).
% 48.88/31.49 tff(457,plain,
% 48.88/31.49 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_shared) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_shared) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_shared)))),
% 48.88/31.49 inference(rewrite,[status(thm)],[])).
% 48.88/31.49 tff(458,plain,
% 48.88/31.49 (((~node34(c_p1, s5, s6)) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s5, c_write_h_shared))) <=> (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_shared) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_shared)))),
% 48.88/31.49 inference(rewrite,[status(thm)],[])).
% 48.88/31.49 tff(459,plain,
% 48.88/31.49 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p1, s5, s6)) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s5, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_shared) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_shared))))),
% 48.88/31.49 inference(monotonicity,[status(thm)],[458])).
% 48.88/31.49 tff(460,plain,
% 48.88/31.49 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p1, s5, s6)) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s5, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_shared) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_shared)))),
% 48.88/31.49 inference(transitivity,[status(thm)],[459, 457])).
% 48.88/31.49 tff(461,plain,
% 48.88/31.49 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p1, s5, s6)) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s5, c_write_h_shared)))),
% 48.88/31.49 inference(quant_inst,[status(thm)],[])).
% 48.88/31.49 tff(462,plain,
% 48.88/31.49 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_shared) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_shared))),
% 48.88/31.49 inference(modus_ponens,[status(thm)],[461, 460])).
% 48.88/31.49 tff(463,plain,
% 48.88/31.49 (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_shared) | (~m_processor_v_CMD(c_p1, s5, c_write_h_shared))),
% 48.88/31.49 inference(unit_resolution,[status(thm)],[462, 456, 406])).
% 48.88/31.49 tff(464,plain,
% 48.88/31.49 (~m_processor_v_CMD(c_p1, s5, c_write_h_shared)),
% 48.88/31.49 inference(unit_resolution,[status(thm)],[463, 446, 1, 428, 427, 424])).
% 48.88/31.49 tff(465,plain,
% 48.88/31.49 (^[Y: $i, I0: $i, X: $i] : refl((node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) <=> (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))),
% 48.88/31.49 inference(bind,[status(th)],[])).
% 48.88/31.49 tff(466,plain,
% 48.88/31.49 (![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) <=> ![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))),
% 48.88/31.49 inference(quant_intro,[status(thm)],[465])).
% 48.88/31.49 tff(467,plain,
% 48.88/31.49 (![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) <=> ![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))),
% 48.88/31.49 inference(rewrite,[status(thm)],[])).
% 48.88/31.49 tff(468,plain,
% 48.88/31.49 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned))), (((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid))), (((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid)))), ((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))), ((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))), (((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared))), (((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared)))), ((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))), ((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))), (((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | node33(I0, X, Y)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | node33(I0, X, Y)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | node33(I0, X, Y)) <=> (node33(I0, X, Y) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))), (((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | node33(I0, X, Y)) <=> (node33(I0, X, Y) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))), ((((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | node33(I0, X, Y)) | (~node34(I0, X, Y))) <=> ((node33(I0, X, Y) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | (~node34(I0, X, Y))))), rewrite(((node33(I0, X, Y) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | (~node34(I0, X, Y))) <=> (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))), ((((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | node33(I0, X, Y)) | (~node34(I0, X, Y))) <=> (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))))),
% 48.88/31.50 inference(bind,[status(th)],[])).
% 48.88/31.50 tff(469,plain,
% 48.88/31.50 (![Y: $i, I0: $i, X: $i] : (((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | node33(I0, X, Y)) | (~node34(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))),
% 48.88/31.50 inference(quant_intro,[status(thm)],[468])).
% 48.88/31.50 tff(470,axiom,(![Y: $i, I0: $i, X: $i] : (((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | node33(I0, X, Y)) | (~node34(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_59')).
% 48.88/31.50 tff(471,plain,
% 48.88/31.50 (![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))),
% 48.88/31.50 inference(modus_ponens,[status(thm)],[470, 469])).
% 48.88/31.50 tff(472,plain,
% 48.88/31.50 (![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))),
% 48.88/31.50 inference(modus_ponens,[status(thm)],[471, 467])).
% 48.88/31.50 tff(473,plain,(
% 48.88/31.50 ![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))),
% 48.88/31.50 inference(skolemize,[status(sab)],[472])).
% 48.88/31.50 tff(474,plain,
% 48.88/31.50 (![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))),
% 48.88/31.50 inference(modus_ponens,[status(thm)],[473, 466])).
% 48.88/31.50 tff(475,plain,
% 48.88/31.50 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_write_h_shared) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared) | node33(c_p1, s5, s6) | (~node34(c_p1, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_write_h_shared) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared) | node33(c_p1, s5, s6) | (~node34(c_p1, s5, s6)))),
% 48.88/31.50 inference(rewrite,[status(thm)],[])).
% 48.88/31.50 tff(476,plain,
% 48.88/31.50 ((node33(c_p1, s5, s6) | (~node34(c_p1, s5, s6)) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_shared) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_write_h_shared) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared) | node33(c_p1, s5, s6) | (~node34(c_p1, s5, s6)))),
% 48.88/31.50 inference(rewrite,[status(thm)],[])).
% 48.88/31.50 tff(477,plain,
% 48.88/31.50 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s5, s6) | (~node34(c_p1, s5, s6)) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_shared) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_write_h_shared) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared) | node33(c_p1, s5, s6) | (~node34(c_p1, s5, s6))))),
% 48.88/31.50 inference(monotonicity,[status(thm)],[476])).
% 48.88/31.50 tff(478,plain,
% 48.88/31.50 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s5, s6) | (~node34(c_p1, s5, s6)) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_shared) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_write_h_shared) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared) | node33(c_p1, s5, s6) | (~node34(c_p1, s5, s6)))),
% 48.88/31.50 inference(transitivity,[status(thm)],[477, 475])).
% 48.88/31.50 tff(479,plain,
% 48.88/31.50 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s5, s6) | (~node34(c_p1, s5, s6)) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_shared) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared))),
% 48.88/31.50 inference(quant_inst,[status(thm)],[])).
% 48.88/31.50 tff(480,plain,
% 48.88/31.50 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_write_h_shared) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared) | node33(c_p1, s5, s6) | (~node34(c_p1, s5, s6))),
% 48.88/31.50 inference(modus_ponens,[status(thm)],[479, 478])).
% 48.88/31.50 tff(481,plain,
% 48.88/31.50 (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_write_h_shared) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared)),
% 48.88/31.50 inference(unit_resolution,[status(thm)],[480, 474, 406, 425])).
% 48.88/31.50 tff(482,plain,
% 48.88/31.50 (m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared)),
% 48.88/31.50 inference(unit_resolution,[status(thm)],[481, 464, 428, 427, 424, 446])).
% 48.88/31.50 tff(483,plain,
% 48.88/31.50 (^[Y: $i, I0: $i, X: $i] : refl(((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) <=> ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))))),
% 48.88/31.50 inference(bind,[status(th)],[])).
% 48.88/31.50 tff(484,plain,
% 48.88/31.50 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))),
% 48.88/31.50 inference(quant_intro,[status(thm)],[483])).
% 48.88/31.50 tff(485,plain,
% 48.88/31.50 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))),
% 48.88/31.50 inference(rewrite,[status(thm)],[])).
% 48.88/31.50 tff(486,plain,
% 48.88/31.50 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned))), (((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid))), (((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid)))), ((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))), ((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))), (((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared))), (((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared)))), ((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))), ((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))))), (((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_state(I0, Y, c_shared)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_state(I0, Y, c_shared)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_state(I0, Y, c_shared)) <=> (m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))), (((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_state(I0, Y, c_shared)) <=> (m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))))), ((((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_state(I0, Y, c_shared)) | (~node34(I0, X, Y))) <=> ((m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (~node34(I0, X, Y))))), rewrite(((m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (~node34(I0, X, Y))) <=> ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))), ((((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_state(I0, Y, c_shared)) | (~node34(I0, X, Y))) <=> ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))))),
% 48.88/31.50 inference(bind,[status(th)],[])).
% 48.88/31.50 tff(487,plain,
% 48.88/31.50 (![Y: $i, I0: $i, X: $i] : (((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_state(I0, Y, c_shared)) | (~node34(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))),
% 48.88/31.50 inference(quant_intro,[status(thm)],[486])).
% 48.88/31.50 tff(488,axiom,(![Y: $i, I0: $i, X: $i] : (((((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | m_processor_v_CMD(I0, X, c_write_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_CMD(I0, X, c_write_h_shared)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_state(I0, Y, c_shared)) | (~node34(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_58')).
% 48.88/31.50 tff(489,plain,
% 48.88/31.50 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))),
% 48.88/31.50 inference(modus_ponens,[status(thm)],[488, 487])).
% 48.88/31.50 tff(490,plain,
% 48.88/31.50 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))),
% 48.88/31.50 inference(modus_ponens,[status(thm)],[489, 485])).
% 48.88/31.50 tff(491,plain,(
% 48.88/31.50 ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))),
% 48.88/31.50 inference(skolemize,[status(sab)],[490])).
% 48.88/31.50 tff(492,plain,
% 48.88/31.50 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))),
% 48.88/31.50 inference(modus_ponens,[status(thm)],[491, 484])).
% 48.88/31.50 tff(493,plain,
% 48.88/31.50 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_write_h_shared) | m_processor_v_state(c_p1, s6, c_shared) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_write_h_shared) | m_processor_v_state(c_p1, s6, c_shared) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared)))),
% 48.88/31.50 inference(rewrite,[status(thm)],[])).
% 48.88/31.50 tff(494,plain,
% 48.88/31.50 (((~node34(c_p1, s5, s6)) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared))) <=> (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_write_h_shared) | m_processor_v_state(c_p1, s6, c_shared) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared)))),
% 48.88/31.50 inference(rewrite,[status(thm)],[])).
% 48.88/31.50 tff(495,plain,
% 48.88/31.50 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s5, s6)) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_write_h_shared) | m_processor_v_state(c_p1, s6, c_shared) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared))))),
% 48.88/31.50 inference(monotonicity,[status(thm)],[494])).
% 48.88/31.50 tff(496,plain,
% 48.88/31.50 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s5, s6)) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_write_h_shared) | m_processor_v_state(c_p1, s6, c_shared) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared)))),
% 48.88/31.51 inference(transitivity,[status(thm)],[495, 493])).
% 48.88/31.51 tff(497,plain,
% 48.88/31.51 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s5, s6)) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared)))),
% 48.88/31.51 inference(quant_inst,[status(thm)],[])).
% 48.88/31.51 tff(498,plain,
% 48.88/31.51 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_write_h_shared) | m_processor_v_state(c_p1, s6, c_shared) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared))),
% 48.88/31.51 inference(modus_ponens,[status(thm)],[497, 496])).
% 48.88/31.51 tff(499,plain,
% 48.88/31.51 (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_write_h_shared) | m_processor_v_state(c_p1, s6, c_shared) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared))),
% 48.88/31.51 inference(unit_resolution,[status(thm)],[498, 492, 406])).
% 48.88/31.51 tff(500,plain,
% 48.88/31.51 ($false),
% 48.88/31.51 inference(unit_resolution,[status(thm)],[499, 482, 464, 1, 428, 427, 424, 446])).
% 48.88/31.51 tff(501,plain,(m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | (~node34(c_p1, s5, s6)) | node33(c_p1, s5, s6) | m_processor_v_state(c_p1, s6, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 48.88/31.51 tff(502,plain,
% 48.88/31.51 (m_processor_v_CMD(c_p1, s5, c_write_h_invalid)),
% 48.88/31.51 inference(unit_resolution,[status(thm)],[501, 424, 143, 406, 425, 1])).
% 48.88/31.51 tff(503,plain,
% 48.88/31.51 (^[Y: $i, I0: $i, X: $i] : refl(((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) <=> ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))))),
% 48.88/31.51 inference(bind,[status(th)],[])).
% 48.88/31.51 tff(504,plain,
% 48.88/31.51 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))),
% 48.88/31.51 inference(quant_intro,[status(thm)],[503])).
% 48.88/31.51 tff(505,plain,
% 48.88/31.51 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))),
% 48.88/31.51 inference(rewrite,[status(thm)],[])).
% 48.88/31.51 tff(506,plain,
% 48.88/31.51 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned))), (((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))), (((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))))), ((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))), ((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))))), (((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)) | (~node34(I0, X, Y))) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) | (~node34(I0, X, Y))))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) | (~node34(I0, X, Y))) <=> ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))), (((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)) | (~node34(I0, X, Y))) <=> ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))))),
% 48.88/31.51 inference(bind,[status(th)],[])).
% 48.88/31.51 tff(507,plain,
% 48.88/31.51 (![Y: $i, I0: $i, X: $i] : ((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)) | (~node34(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))),
% 48.88/31.51 inference(quant_intro,[status(thm)],[506])).
% 48.88/31.51 tff(508,axiom,(![Y: $i, I0: $i, X: $i] : ((((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_CMD(I0, X, c_write_h_invalid))) | m_processor_v_state(I0, Y, c_invalid)) | (~node34(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_55')).
% 48.88/31.51 tff(509,plain,
% 48.88/31.51 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))),
% 48.88/31.51 inference(modus_ponens,[status(thm)],[508, 507])).
% 48.88/31.51 tff(510,plain,
% 48.88/31.51 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))),
% 48.88/31.51 inference(modus_ponens,[status(thm)],[509, 505])).
% 48.88/31.51 tff(511,plain,(
% 48.88/31.51 ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))),
% 48.88/31.51 inference(skolemize,[status(sab)],[510])).
% 48.88/31.51 tff(512,plain,
% 48.88/31.51 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))),
% 48.88/31.51 inference(modus_ponens,[status(thm)],[511, 504])).
% 48.88/31.51 tff(513,plain,
% 48.88/31.51 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_invalid) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_invalid) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_invalid)))),
% 48.88/31.51 inference(rewrite,[status(thm)],[])).
% 48.88/31.51 tff(514,plain,
% 48.88/31.51 (((~node34(c_p1, s5, s6)) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_state(c_p1, s6, c_invalid) | (~m_processor_v_CMD(c_p1, s5, c_write_h_invalid))) <=> (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_invalid) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_invalid)))),
% 48.88/31.51 inference(rewrite,[status(thm)],[])).
% 48.88/31.51 tff(515,plain,
% 48.88/31.51 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s5, s6)) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_state(c_p1, s6, c_invalid) | (~m_processor_v_CMD(c_p1, s5, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_invalid) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_invalid))))),
% 48.88/31.51 inference(monotonicity,[status(thm)],[514])).
% 48.88/31.51 tff(516,plain,
% 48.88/31.51 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s5, s6)) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_state(c_p1, s6, c_invalid) | (~m_processor_v_CMD(c_p1, s5, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_invalid) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_invalid)))),
% 48.88/31.51 inference(transitivity,[status(thm)],[515, 513])).
% 48.88/31.51 tff(517,plain,
% 48.88/31.51 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s5, s6)) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_state(c_p1, s6, c_invalid) | (~m_processor_v_CMD(c_p1, s5, c_write_h_invalid)))),
% 48.88/31.51 inference(quant_inst,[status(thm)],[])).
% 48.88/31.51 tff(518,plain,
% 48.88/31.51 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_invalid) | (~node34(c_p1, s5, s6)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_invalid))),
% 48.88/31.51 inference(modus_ponens,[status(thm)],[517, 516])).
% 48.88/31.51 tff(519,plain,
% 48.88/31.51 (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s5, c_write_h_invalid))),
% 48.88/31.51 inference(unit_resolution,[status(thm)],[518, 512, 143, 406])).
% 48.88/31.51 tff(520,plain,
% 48.88/31.51 ($false),
% 48.88/31.51 inference(unit_resolution,[status(thm)],[519, 502, 424, 423])).
% 48.88/31.51 tff(521,plain,(m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_state(c_p1, s6, c_invalid) | (~node34(c_p1, s5, s6)) | node33(c_p1, s5, s6) | m_processor_v_state(c_p1, s6, c_shared)), inference(lemma,lemma(discharge,[]))).
% 48.88/31.51 tff(522,plain,
% 48.88/31.51 ($false),
% 48.88/31.51 inference(unit_resolution,[status(thm)],[521, 405, 403, 143, 1, 389])).
% 48.88/31.51 tff(523,plain,(m_processor_v_master(c_p1, s5) | m_processor_v_state(c_p1, s6, c_invalid) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_abort(c_p1, s5) | m_processor_v_state(c_p1, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 48.88/31.51 tff(524,plain,
% 48.88/31.51 (m_processor_v_abort(c_p1, s5)),
% 48.88/31.51 inference(unit_resolution,[status(thm)],[523, 142, 1, 141, 53])).
% 48.88/31.51 tff(525,plain,
% 48.88/31.51 (m_processor_v_state(c_p1, s5, c_shared)),
% 48.88/31.51 inference(unit_resolution,[status(thm)],[269, 142, 113, 53])).
% 48.88/31.51 tff(526,assumption,(node32(c_p1, s5, s6)), introduced(assumption)).
% 48.88/31.51 tff(527,plain,
% 48.88/31.51 ($false),
% 48.88/31.51 inference(unit_resolution,[status(thm)],[386, 380, 272, 1, 526])).
% 48.88/31.51 tff(528,plain,((~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_state(c_p1, s6, c_shared) | (~node32(c_p1, s5, s6))), inference(lemma,lemma(discharge,[]))).
% 48.88/31.51 tff(529,plain,
% 48.88/31.51 (~node32(c_p1, s5, s6)),
% 48.88/31.51 inference(unit_resolution,[status(thm)],[528, 525, 1])).
% 48.88/31.51 tff(530,plain,
% 48.88/31.51 ($false),
% 48.88/31.51 inference(unit_resolution,[status(thm)],[250, 529, 524])).
% 48.88/31.51 tff(531,plain,(m_processor_v_master(c_p1, s5) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s5, c_owned) | (~m_processor_v_state(c_p1, s6, c_owned))), inference(lemma,lemma(discharge,[]))).
% 48.88/31.51 tff(532,plain,
% 48.88/31.51 (m_processor_v_master(c_p1, s5)),
% 48.88/31.51 inference(unit_resolution,[status(thm)],[531, 130, 53, 112])).
% 48.88/31.51 tff(533,assumption,(m_processor_v_waiting(c_p1, s6)), introduced(assumption)).
% 48.88/31.51 tff(534,plain,
% 48.88/31.51 (^[I0: $i, X: $i] : refl(((~m_processor_v_waiting(I0, X)) | (~node56(I0, X))) <=> ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X))))),
% 48.88/31.51 inference(bind,[status(th)],[])).
% 48.88/31.51 tff(535,plain,
% 48.88/31.51 (![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))),
% 48.88/31.51 inference(quant_intro,[status(thm)],[534])).
% 48.88/31.51 tff(536,plain,
% 48.88/31.51 (![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))),
% 48.88/31.51 inference(rewrite,[status(thm)],[])).
% 48.88/31.51 tff(537,axiom,(![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_123')).
% 48.88/31.51 tff(538,plain,
% 48.88/31.51 (![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))),
% 48.88/31.51 inference(modus_ponens,[status(thm)],[537, 536])).
% 48.88/31.51 tff(539,plain,(
% 48.88/31.51 ![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))),
% 48.88/31.51 inference(skolemize,[status(sab)],[538])).
% 48.88/31.51 tff(540,plain,
% 48.88/31.51 (![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))),
% 48.88/31.51 inference(modus_ponens,[status(thm)],[539, 535])).
% 48.88/31.51 tff(541,plain,
% 48.88/31.51 (((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p1, s6)) | (~node56(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p1, s6)) | (~node56(c_p1, s6)))),
% 48.88/31.51 inference(rewrite,[status(thm)],[])).
% 48.88/31.51 tff(542,plain,
% 48.88/31.51 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p1, s6)) | (~node56(c_p1, s6)))),
% 48.88/31.51 inference(quant_inst,[status(thm)],[])).
% 48.88/31.51 tff(543,plain,
% 48.88/31.51 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p1, s6)) | (~node56(c_p1, s6))),
% 48.88/31.51 inference(modus_ponens,[status(thm)],[542, 541])).
% 48.88/31.51 tff(544,plain,
% 48.88/31.51 ($false),
% 48.88/31.51 inference(unit_resolution,[status(thm)],[543, 540, 105, 533])).
% 48.88/31.51 tff(545,plain,((~m_processor_v_waiting(c_p1, s6)) | (~node56(c_p1, s6))), inference(lemma,lemma(discharge,[]))).
% 48.88/31.51 tff(546,plain,
% 48.88/31.51 (~m_processor_v_waiting(c_p1, s6)),
% 48.88/31.51 inference(unit_resolution,[status(thm)],[545, 105])).
% 48.88/31.51 tff(547,plain,
% 48.88/31.51 (~m_processor_v_state(c_p1, s6, c_invalid)),
% 48.88/31.51 inference(unit_resolution,[status(thm)],[140, 137, 112])).
% 48.88/31.51 tff(548,assumption,(m_processor_v_state(c_p1, s5, c_invalid)), introduced(assumption)).
% 48.88/31.51 tff(549,plain,
% 48.88/31.51 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s5, c_invalid)) | m_processor_v_state(c_p1, s6, c_invalid) | (~node32(c_p1, s5, s6)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s5, c_invalid)) | m_processor_v_state(c_p1, s6, c_invalid) | (~node32(c_p1, s5, s6)))),
% 48.88/31.51 inference(rewrite,[status(thm)],[])).
% 48.88/31.51 tff(550,plain,
% 48.88/31.51 (((~node32(c_p1, s5, s6)) | (~m_processor_v_state(c_p1, s5, c_invalid)) | m_processor_v_state(c_p1, s6, c_invalid)) <=> ((~m_processor_v_state(c_p1, s5, c_invalid)) | m_processor_v_state(c_p1, s6, c_invalid) | (~node32(c_p1, s5, s6)))),
% 48.88/31.51 inference(rewrite,[status(thm)],[])).
% 48.88/31.51 tff(551,plain,
% 48.88/31.51 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s5, s6)) | (~m_processor_v_state(c_p1, s5, c_invalid)) | m_processor_v_state(c_p1, s6, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s5, c_invalid)) | m_processor_v_state(c_p1, s6, c_invalid) | (~node32(c_p1, s5, s6))))),
% 48.88/31.51 inference(monotonicity,[status(thm)],[550])).
% 48.88/31.51 tff(552,plain,
% 48.88/31.51 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s5, s6)) | (~m_processor_v_state(c_p1, s5, c_invalid)) | m_processor_v_state(c_p1, s6, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s5, c_invalid)) | m_processor_v_state(c_p1, s6, c_invalid) | (~node32(c_p1, s5, s6)))),
% 48.88/31.51 inference(transitivity,[status(thm)],[551, 549])).
% 48.88/31.51 tff(553,plain,
% 48.88/31.51 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s5, s6)) | (~m_processor_v_state(c_p1, s5, c_invalid)) | m_processor_v_state(c_p1, s6, c_invalid))),
% 48.88/31.51 inference(quant_inst,[status(thm)],[])).
% 48.88/31.51 tff(554,plain,
% 48.88/31.51 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s5, c_invalid)) | m_processor_v_state(c_p1, s6, c_invalid) | (~node32(c_p1, s5, s6))),
% 48.88/31.51 inference(modus_ponens,[status(thm)],[553, 552])).
% 48.88/31.51 tff(555,plain,
% 48.88/31.51 ($false),
% 48.88/31.51 inference(unit_resolution,[status(thm)],[554, 380, 548, 143, 526])).
% 48.88/31.51 tff(556,plain,((~node32(c_p1, s5, s6)) | (~m_processor_v_state(c_p1, s5, c_invalid)) | m_processor_v_state(c_p1, s6, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 48.88/31.51 tff(557,plain,
% 48.88/31.51 (~m_processor_v_state(c_p1, s5, c_invalid)),
% 48.88/31.51 inference(unit_resolution,[status(thm)],[556, 526, 143])).
% 48.88/31.51 tff(558,plain,
% 48.88/31.51 (~m_processor_v_state(c_p1, s5, c_shared)),
% 48.88/31.51 inference(unit_resolution,[status(thm)],[528, 526, 1])).
% 48.88/31.51 tff(559,assumption,(~m_processor_v_state(c_p1, s5, c_invalid)), introduced(assumption)).
% 48.88/31.51 tff(560,plain,
% 48.88/31.51 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_state(c_p1, s5, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_state(c_p1, s5, c_invalid))),
% 48.88/31.51 inference(rewrite,[status(thm)],[])).
% 48.88/31.51 tff(561,plain,
% 48.88/31.51 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_state(c_p1, s5, c_invalid))),
% 48.88/31.51 inference(quant_inst,[status(thm)],[])).
% 48.88/31.51 tff(562,plain,
% 48.88/31.51 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_state(c_p1, s5, c_invalid)),
% 48.88/31.51 inference(modus_ponens,[status(thm)],[561, 560])).
% 48.88/31.51 tff(563,plain,
% 48.88/31.51 ($false),
% 48.88/31.51 inference(unit_resolution,[status(thm)],[562, 153, 160, 559, 53])).
% 48.88/31.51 tff(564,plain,(m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_state(c_p1, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 48.88/31.51 tff(565,plain,
% 48.88/31.51 ($false),
% 48.88/31.51 inference(unit_resolution,[status(thm)],[564, 558, 557, 53])).
% 48.88/31.51 tff(566,plain,((~node32(c_p1, s5, s6)) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s6, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 48.88/31.51 tff(567,plain,
% 48.88/31.51 (~node32(c_p1, s5, s6)),
% 48.88/31.51 inference(unit_resolution,[status(thm)],[566, 547, 53, 130])).
% 48.88/31.51 tff(568,plain,
% 48.88/31.51 (~m_processor_v_abort(c_p1, s5)),
% 48.88/31.51 inference(unit_resolution,[status(thm)],[250, 567])).
% 48.88/31.51 tff(569,plain,
% 48.88/31.51 (^[Y: $i, I0: $i, X: $i] : refl(((~trans(X, Y)) | node53(I0, X, Y)) <=> ((~trans(X, Y)) | node53(I0, X, Y)))),
% 48.88/31.51 inference(bind,[status(th)],[])).
% 48.88/31.51 tff(570,plain,
% 48.88/31.51 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y)) <=> ![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))),
% 48.88/31.51 inference(quant_intro,[status(thm)],[569])).
% 48.88/31.51 tff(571,plain,
% 48.88/31.51 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y)) <=> ![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))),
% 48.88/31.51 inference(rewrite,[status(thm)],[])).
% 48.88/31.51 tff(572,axiom,(![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_115')).
% 48.88/31.51 tff(573,plain,
% 48.88/31.51 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))),
% 48.88/31.51 inference(modus_ponens,[status(thm)],[572, 571])).
% 48.88/31.51 tff(574,plain,(
% 48.88/31.51 ![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))),
% 48.88/31.51 inference(skolemize,[status(sab)],[573])).
% 48.88/31.51 tff(575,plain,
% 48.88/31.51 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))),
% 48.88/31.51 inference(modus_ponens,[status(thm)],[574, 570])).
% 48.88/31.51 tff(576,plain,
% 48.88/31.51 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s5, s6)) | node53(c_p1, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s5, s6)) | node53(c_p1, s5, s6))),
% 48.88/31.51 inference(rewrite,[status(thm)],[])).
% 48.88/31.51 tff(577,plain,
% 48.88/31.51 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s5, s6)) | node53(c_p1, s5, s6))),
% 48.88/31.51 inference(quant_inst,[status(thm)],[])).
% 48.88/31.51 tff(578,plain,
% 48.88/31.51 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s5, s6)) | node53(c_p1, s5, s6)),
% 48.88/31.51 inference(modus_ponens,[status(thm)],[577, 576])).
% 48.88/31.51 tff(579,plain,
% 48.88/31.51 (node53(c_p1, s5, s6)),
% 48.88/31.51 inference(unit_resolution,[status(thm)],[578, 575, 203])).
% 48.88/31.51 tff(580,plain,
% 48.88/31.51 (^[Y: $i, I0: $i, X: $i] : refl((m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y))) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y))))),
% 48.88/31.51 inference(bind,[status(th)],[])).
% 48.88/31.51 tff(581,plain,
% 48.88/31.51 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))),
% 48.88/31.51 inference(quant_intro,[status(thm)],[580])).
% 48.88/31.51 tff(582,plain,
% 48.88/31.51 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))),
% 48.88/31.51 inference(rewrite,[status(thm)],[])).
% 48.88/31.51 tff(583,plain,
% 48.88/31.51 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) <=> ((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X))), (((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) <=> (((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X)) | (~m_processor_v_CMD(I0, X, c_read_h_shared))))), rewrite((((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X)) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) <=> ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X))), (((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) <=> ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X)))), ((((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_waiting(I0, Y)) <=> (((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X)) | m_processor_v_waiting(I0, Y)))), rewrite((((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X)) | m_processor_v_waiting(I0, Y)) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X))), ((((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_waiting(I0, Y)) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X)))), (((((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_waiting(I0, Y)) | (~node53(I0, X, Y))) <=> ((m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X)) | (~node53(I0, X, Y))))), rewrite(((m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X)) | (~node53(I0, X, Y))) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))), (((((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_waiting(I0, Y)) | (~node53(I0, X, Y))) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))))),
% 48.88/31.51 inference(bind,[status(th)],[])).
% 48.88/31.51 tff(584,plain,
% 48.88/31.51 (![Y: $i, I0: $i, X: $i] : ((((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_waiting(I0, Y)) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))),
% 48.88/31.51 inference(quant_intro,[status(thm)],[583])).
% 48.88/31.51 tff(585,axiom,(![Y: $i, I0: $i, X: $i] : ((((m_processor_v_abort(I0, X) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_waiting(I0, Y)) | (~node53(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_109')).
% 48.88/31.51 tff(586,plain,
% 48.88/31.51 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))),
% 48.88/31.51 inference(modus_ponens,[status(thm)],[585, 584])).
% 48.88/31.51 tff(587,plain,
% 48.88/31.51 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))),
% 48.88/31.51 inference(modus_ponens,[status(thm)],[586, 582])).
% 48.88/31.51 tff(588,plain,(
% 48.88/31.51 ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))),
% 48.88/31.51 inference(skolemize,[status(sab)],[587])).
% 48.88/31.51 tff(589,plain,
% 48.88/31.51 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))),
% 48.88/31.51 inference(modus_ponens,[status(thm)],[588, 581])).
% 48.88/31.51 tff(590,plain,
% 48.88/31.51 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s5)) | m_processor_v_abort(c_p1, s5) | m_processor_v_waiting(c_p1, s6) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)) | (~node53(c_p1, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s5)) | m_processor_v_abort(c_p1, s5) | m_processor_v_waiting(c_p1, s6) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)) | (~node53(c_p1, s5, s6)))),
% 48.88/31.52 inference(rewrite,[status(thm)],[])).
% 48.88/31.52 tff(591,plain,
% 48.88/31.52 ((m_processor_v_waiting(c_p1, s6) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)) | (~m_processor_v_master(c_p1, s5)) | m_processor_v_abort(c_p1, s5) | (~node53(c_p1, s5, s6))) <=> ((~m_processor_v_master(c_p1, s5)) | m_processor_v_abort(c_p1, s5) | m_processor_v_waiting(c_p1, s6) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)) | (~node53(c_p1, s5, s6)))),
% 48.88/31.52 inference(rewrite,[status(thm)],[])).
% 48.88/31.52 tff(592,plain,
% 48.88/31.52 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s6) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)) | (~m_processor_v_master(c_p1, s5)) | m_processor_v_abort(c_p1, s5) | (~node53(c_p1, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s5)) | m_processor_v_abort(c_p1, s5) | m_processor_v_waiting(c_p1, s6) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)) | (~node53(c_p1, s5, s6))))),
% 48.88/31.52 inference(monotonicity,[status(thm)],[591])).
% 48.88/31.52 tff(593,plain,
% 48.88/31.52 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s6) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)) | (~m_processor_v_master(c_p1, s5)) | m_processor_v_abort(c_p1, s5) | (~node53(c_p1, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s5)) | m_processor_v_abort(c_p1, s5) | m_processor_v_waiting(c_p1, s6) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)) | (~node53(c_p1, s5, s6)))),
% 48.88/31.52 inference(transitivity,[status(thm)],[592, 590])).
% 48.88/31.52 tff(594,plain,
% 48.88/31.52 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s6) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)) | (~m_processor_v_master(c_p1, s5)) | m_processor_v_abort(c_p1, s5) | (~node53(c_p1, s5, s6)))),
% 48.88/31.52 inference(quant_inst,[status(thm)],[])).
% 48.88/31.52 tff(595,plain,
% 48.88/31.52 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s5)) | m_processor_v_abort(c_p1, s5) | m_processor_v_waiting(c_p1, s6) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)) | (~node53(c_p1, s5, s6))),
% 48.88/31.52 inference(modus_ponens,[status(thm)],[594, 593])).
% 48.88/31.52 tff(596,plain,
% 48.88/31.52 ((~m_processor_v_master(c_p1, s5)) | m_processor_v_abort(c_p1, s5) | m_processor_v_waiting(c_p1, s6) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared))),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[595, 589, 579])).
% 48.88/31.52 tff(597,plain,
% 48.88/31.52 (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[596, 568, 546, 532])).
% 48.88/31.52 tff(598,plain,
% 48.88/31.52 (~m_processor_v_state(c_p1, s6, c_owned)),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[187, 172, 53])).
% 48.88/31.52 tff(599,plain,
% 48.88/31.52 (m_processor_v_state(c_p1, s6, c_shared)),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[156, 153, 143, 598])).
% 48.88/31.52 tff(600,plain,
% 48.88/31.52 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s5, c_shared) | (~m_processor_v_state(c_p1, s6, c_shared)) | (~node37(c_p1, s5, s6)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s5, c_shared) | (~m_processor_v_state(c_p1, s6, c_shared)) | (~node37(c_p1, s5, s6)))),
% 48.88/31.52 inference(rewrite,[status(thm)],[])).
% 48.88/31.52 tff(601,plain,
% 48.88/31.52 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s5, c_shared) | (~m_processor_v_state(c_p1, s6, c_shared)) | (~node37(c_p1, s5, s6)))),
% 48.88/31.52 inference(quant_inst,[status(thm)],[])).
% 48.88/31.52 tff(602,plain,
% 48.88/31.52 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s5, c_shared) | (~m_processor_v_state(c_p1, s6, c_shared)) | (~node37(c_p1, s5, s6))),
% 48.88/31.52 inference(modus_ponens,[status(thm)],[601, 600])).
% 48.88/31.52 tff(603,plain,
% 48.88/31.52 ($false),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[602, 182, 160, 172, 599])).
% 48.88/31.52 tff(604,plain,((~node37(c_p1, s5, s6)) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_state(c_p1, s6, c_invalid) | m_processor_v_state(c_p1, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 48.88/31.52 tff(605,plain,
% 48.88/31.52 (~node37(c_p1, s5, s6)),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[604, 160, 143, 53])).
% 48.88/31.52 tff(606,assumption,(~node37(c_p1, s5, s6)), introduced(assumption)).
% 48.88/31.52 tff(607,plain,
% 48.88/31.52 (m_processor_v_state(c_p1, s5, c_invalid)),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[562, 153, 160, 53])).
% 48.88/31.52 tff(608,plain,
% 48.88/31.52 (~node32(c_p1, s5, s6)),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[556, 607, 143])).
% 48.88/31.52 tff(609,plain,
% 48.88/31.52 (~m_processor_v_abort(c_p1, s5)),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[250, 608])).
% 48.88/31.52 tff(610,plain,
% 48.88/31.52 (~m_processor_v_master(c_p1, s5)),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[290, 609, 271])).
% 48.88/31.52 tff(611,plain,
% 48.88/31.52 ($false),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[232, 610, 609, 606, 160, 171])).
% 48.88/31.52 tff(612,plain,(m_processor_v_state(c_p1, s5, c_shared) | node37(c_p1, s5, s6) | node34(c_p1, s5, s6) | m_processor_v_state(c_p1, s6, c_invalid) | m_processor_v_state(c_p1, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 48.88/31.52 tff(613,plain,
% 48.88/31.52 ($false),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[612, 605, 160, 143, 53, 271])).
% 48.88/31.52 tff(614,plain,(m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_state(c_p1, s6, c_invalid) | m_processor_v_state(c_p1, s5, c_owned) | node34(c_p1, s5, s6)), inference(lemma,lemma(discharge,[]))).
% 48.88/31.52 tff(615,plain,
% 48.88/31.52 (m_processor_v_state(c_p1, s5, c_shared)),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[614, 271, 143, 53])).
% 48.88/31.52 tff(616,plain,
% 48.88/31.52 ($false),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[388, 615, 271, 1, 143])).
% 48.88/31.52 tff(617,plain,(node34(c_p1, s5, s6) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s6, c_invalid) | m_processor_v_state(c_p1, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 48.88/31.52 tff(618,plain,
% 48.88/31.52 (node34(c_p1, s5, s6)),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[617, 53, 143, 1])).
% 48.88/31.52 tff(619,plain,
% 48.88/31.52 (node33(c_p1, s5, s6)),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[521, 618, 143, 1, 424])).
% 48.88/31.52 tff(620,assumption,(node33(c_p1, s5, s6)), introduced(assumption)).
% 48.88/31.52 tff(621,plain,
% 48.88/31.52 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s5, c_invalid)) | m_processor_v_state(c_p1, s6, c_invalid) | (~node33(c_p1, s5, s6)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p1, s5, c_invalid)) | m_processor_v_state(c_p1, s6, c_invalid) | (~node33(c_p1, s5, s6)))),
% 48.88/31.52 inference(rewrite,[status(thm)],[])).
% 48.88/31.52 tff(622,plain,
% 48.88/31.52 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s5, c_invalid)) | m_processor_v_state(c_p1, s6, c_invalid) | (~node33(c_p1, s5, s6)))),
% 48.88/31.52 inference(quant_inst,[status(thm)],[])).
% 48.88/31.52 tff(623,plain,
% 48.88/31.52 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p1, s5, c_invalid)) | m_processor_v_state(c_p1, s6, c_invalid) | (~node33(c_p1, s5, s6))),
% 48.88/31.52 inference(modus_ponens,[status(thm)],[622, 621])).
% 48.88/31.52 tff(624,plain,
% 48.88/31.52 ($false),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[623, 399, 548, 143, 620])).
% 48.88/31.52 tff(625,plain,((~m_processor_v_state(c_p1, s5, c_invalid)) | m_processor_v_state(c_p1, s6, c_invalid) | (~node33(c_p1, s5, s6))), inference(lemma,lemma(discharge,[]))).
% 48.88/31.52 tff(626,plain,
% 48.88/31.52 (~m_processor_v_state(c_p1, s5, c_invalid)),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[625, 619, 143])).
% 48.88/31.52 tff(627,plain,
% 48.88/31.52 (m_processor_v_state(c_p1, s5, c_shared)),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[564, 626, 53])).
% 48.88/31.52 tff(628,plain,
% 48.88/31.52 ($false),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[402, 399, 627, 1, 619])).
% 48.88/31.52 tff(629,plain,(m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s6, c_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 48.88/31.52 tff(630,plain,
% 48.88/31.52 (m_processor_v_CMD(c_p1, s5, c_read_h_owned)),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[629, 547, 53, 130])).
% 48.88/31.52 tff(631,plain,
% 48.88/31.52 (^[Y: $i, I0: $i, X: $i] : refl((m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y))) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y))))),
% 48.88/31.52 inference(bind,[status(th)],[])).
% 48.88/31.52 tff(632,plain,
% 48.88/31.52 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))),
% 48.88/31.52 inference(quant_intro,[status(thm)],[631])).
% 48.88/31.52 tff(633,plain,
% 48.88/31.52 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))),
% 48.88/31.52 inference(rewrite,[status(thm)],[])).
% 48.88/31.52 tff(634,plain,
% 48.88/31.52 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((m_processor_v_abort(I0, X) | node47(I0, X)) | (~m_processor_v_master(I0, X))) <=> ((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X))), ((((m_processor_v_abort(I0, X) | node47(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) <=> (((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X)) | (~m_processor_v_CMD(I0, X, c_read_h_owned))))), rewrite((((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X)) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) <=> ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X))), ((((m_processor_v_abort(I0, X) | node47(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) <=> ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X)))), (((((m_processor_v_abort(I0, X) | node47(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_waiting(I0, Y)) <=> (((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X)) | m_processor_v_waiting(I0, Y)))), rewrite((((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X)) | m_processor_v_waiting(I0, Y)) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X))), (((((m_processor_v_abort(I0, X) | node47(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_waiting(I0, Y)) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X)))), ((((((m_processor_v_abort(I0, X) | node47(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_waiting(I0, Y)) | (~node53(I0, X, Y))) <=> ((m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X)) | (~node53(I0, X, Y))))), rewrite(((m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X)) | (~node53(I0, X, Y))) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))), ((((((m_processor_v_abort(I0, X) | node47(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_waiting(I0, Y)) | (~node53(I0, X, Y))) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))))),
% 48.88/31.52 inference(bind,[status(th)],[])).
% 48.88/31.52 tff(635,plain,
% 48.88/31.52 (![Y: $i, I0: $i, X: $i] : (((((m_processor_v_abort(I0, X) | node47(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_waiting(I0, Y)) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))),
% 48.88/31.52 inference(quant_intro,[status(thm)],[634])).
% 48.88/31.52 tff(636,axiom,(![Y: $i, I0: $i, X: $i] : (((((m_processor_v_abort(I0, X) | node47(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_waiting(I0, Y)) | (~node53(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_110')).
% 48.88/31.52 tff(637,plain,
% 48.88/31.52 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))),
% 48.88/31.52 inference(modus_ponens,[status(thm)],[636, 635])).
% 48.88/31.52 tff(638,plain,
% 48.88/31.52 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))),
% 48.88/31.52 inference(modus_ponens,[status(thm)],[637, 633])).
% 48.88/31.52 tff(639,plain,(
% 48.88/31.52 ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))),
% 48.88/31.52 inference(skolemize,[status(sab)],[638])).
% 48.88/31.52 tff(640,plain,
% 48.88/31.52 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))),
% 48.88/31.52 inference(modus_ponens,[status(thm)],[639, 632])).
% 48.88/31.52 tff(641,plain,
% 48.88/31.52 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | (~m_processor_v_master(c_p1, s5)) | m_processor_v_abort(c_p1, s5) | m_processor_v_waiting(c_p1, s6) | node47(c_p1, s5) | (~node53(c_p1, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | (~m_processor_v_master(c_p1, s5)) | m_processor_v_abort(c_p1, s5) | m_processor_v_waiting(c_p1, s6) | node47(c_p1, s5) | (~node53(c_p1, s5, s6)))),
% 48.88/31.52 inference(rewrite,[status(thm)],[])).
% 48.88/31.52 tff(642,plain,
% 48.88/31.52 ((m_processor_v_waiting(c_p1, s6) | (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | (~m_processor_v_master(c_p1, s5)) | m_processor_v_abort(c_p1, s5) | node47(c_p1, s5) | (~node53(c_p1, s5, s6))) <=> ((~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | (~m_processor_v_master(c_p1, s5)) | m_processor_v_abort(c_p1, s5) | m_processor_v_waiting(c_p1, s6) | node47(c_p1, s5) | (~node53(c_p1, s5, s6)))),
% 48.88/31.52 inference(rewrite,[status(thm)],[])).
% 48.88/31.52 tff(643,plain,
% 48.88/31.52 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s6) | (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | (~m_processor_v_master(c_p1, s5)) | m_processor_v_abort(c_p1, s5) | node47(c_p1, s5) | (~node53(c_p1, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | (~m_processor_v_master(c_p1, s5)) | m_processor_v_abort(c_p1, s5) | m_processor_v_waiting(c_p1, s6) | node47(c_p1, s5) | (~node53(c_p1, s5, s6))))),
% 48.88/31.52 inference(monotonicity,[status(thm)],[642])).
% 48.88/31.52 tff(644,plain,
% 48.88/31.52 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s6) | (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | (~m_processor_v_master(c_p1, s5)) | m_processor_v_abort(c_p1, s5) | node47(c_p1, s5) | (~node53(c_p1, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | (~m_processor_v_master(c_p1, s5)) | m_processor_v_abort(c_p1, s5) | m_processor_v_waiting(c_p1, s6) | node47(c_p1, s5) | (~node53(c_p1, s5, s6)))),
% 48.88/31.52 inference(transitivity,[status(thm)],[643, 641])).
% 48.88/31.52 tff(645,plain,
% 48.88/31.52 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s6) | (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | (~m_processor_v_master(c_p1, s5)) | m_processor_v_abort(c_p1, s5) | node47(c_p1, s5) | (~node53(c_p1, s5, s6)))),
% 48.88/31.52 inference(quant_inst,[status(thm)],[])).
% 48.88/31.52 tff(646,plain,
% 48.88/31.52 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | (~m_processor_v_master(c_p1, s5)) | m_processor_v_abort(c_p1, s5) | m_processor_v_waiting(c_p1, s6) | node47(c_p1, s5) | (~node53(c_p1, s5, s6))),
% 48.88/31.52 inference(modus_ponens,[status(thm)],[645, 644])).
% 48.88/31.52 tff(647,plain,
% 48.88/31.52 ((~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | (~m_processor_v_master(c_p1, s5)) | m_processor_v_abort(c_p1, s5) | m_processor_v_waiting(c_p1, s6) | node47(c_p1, s5)),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[646, 640, 579])).
% 48.88/31.52 tff(648,plain,
% 48.88/31.52 (node47(c_p1, s5)),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[647, 568, 532, 546, 630])).
% 48.88/31.52 tff(649,assumption,(node47(c_p1, s5)), introduced(assumption)).
% 48.88/31.52 tff(650,assumption,(~m_processor_v_CMD(c_p1, s5, c_read_h_shared)), introduced(assumption)).
% 48.88/31.52 tff(651,plain,
% 48.88/31.52 (^[I0: $i, X: $i] : refl((m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X))))),
% 48.88/31.52 inference(bind,[status(th)],[])).
% 48.88/31.52 tff(652,plain,
% 48.88/31.52 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))),
% 48.88/31.52 inference(quant_intro,[status(thm)],[651])).
% 48.88/31.52 tff(653,plain,
% 48.88/31.52 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))),
% 48.88/31.52 inference(rewrite,[status(thm)],[])).
% 48.88/31.52 tff(654,axiom,(![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_97')).
% 48.88/31.52 tff(655,plain,
% 48.88/31.52 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))),
% 48.88/31.52 inference(modus_ponens,[status(thm)],[654, 653])).
% 48.88/31.52 tff(656,plain,(
% 48.88/31.52 ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))),
% 48.88/31.52 inference(skolemize,[status(sab)],[655])).
% 48.88/31.52 tff(657,plain,
% 48.88/31.52 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))),
% 48.88/31.52 inference(modus_ponens,[status(thm)],[656, 652])).
% 48.88/31.52 tff(658,plain,
% 48.88/31.52 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p1, s5, c_read_h_shared) | (~node47(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | (~node47(c_p1, s5)))),
% 48.88/31.52 inference(rewrite,[status(thm)],[])).
% 48.88/31.52 tff(659,plain,
% 48.88/31.52 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p1, s5, c_read_h_shared) | (~node47(c_p1, s5)))),
% 48.88/31.52 inference(quant_inst,[status(thm)],[])).
% 48.88/31.52 tff(660,plain,
% 48.88/31.52 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | (~node47(c_p1, s5))),
% 48.88/31.52 inference(modus_ponens,[status(thm)],[659, 658])).
% 48.88/31.52 tff(661,plain,
% 48.88/31.52 ($false),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[660, 657, 650, 649])).
% 48.88/31.52 tff(662,plain,((~node47(c_p1, s5)) | m_processor_v_CMD(c_p1, s5, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 48.88/31.52 tff(663,plain,
% 48.88/31.52 ($false),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[662, 648, 597])).
% 48.88/31.52 tff(664,plain,((~node56(c_p1, s6)) | m_processor_v_state(c_p1, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 48.88/31.52 tff(665,plain,
% 48.88/31.52 (~node56(c_p1, s6)),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[664, 53])).
% 48.88/31.52 tff(666,assumption,(m_processor_v_writable(c_p1, s6)), introduced(assumption)).
% 48.88/31.52 tff(667,assumption,(~node56(c_p1, s6)), introduced(assumption)).
% 48.88/31.52 tff(668,plain,
% 48.88/31.52 (((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p1, s6)) | node56(c_p1, s6))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p1, s6)) | node56(c_p1, s6))),
% 48.88/31.52 inference(rewrite,[status(thm)],[])).
% 48.88/31.52 tff(669,plain,
% 48.88/31.52 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p1, s6)) | node56(c_p1, s6))),
% 48.88/31.52 inference(quant_inst,[status(thm)],[])).
% 48.88/31.52 tff(670,plain,
% 48.88/31.52 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p1, s6)) | node56(c_p1, s6)),
% 48.88/31.52 inference(modus_ponens,[status(thm)],[669, 668])).
% 48.88/31.52 tff(671,plain,
% 48.88/31.52 ($false),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[670, 28, 667, 666])).
% 48.88/31.52 tff(672,plain,((~m_processor_v_writable(c_p1, s6)) | node56(c_p1, s6)), inference(lemma,lemma(discharge,[]))).
% 48.88/31.52 tff(673,plain,
% 48.88/31.52 (~m_processor_v_writable(c_p1, s6)),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[672, 665])).
% 48.88/31.52 tff(674,assumption,(~m_processor_v_writable(c_p1, s6)), introduced(assumption)).
% 48.88/31.52 tff(675,plain,
% 48.88/31.52 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | ((~node67(s6)) | m_processor_v_writable(c_p1, s6))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (~node67(s6)) | m_processor_v_writable(c_p1, s6))),
% 48.88/31.52 inference(rewrite,[status(thm)],[])).
% 48.88/31.52 tff(676,plain,
% 48.88/31.52 ((m_processor_v_writable(c_p1, s6) | (~node67(s6))) <=> ((~node67(s6)) | m_processor_v_writable(c_p1, s6))),
% 48.88/31.52 inference(rewrite,[status(thm)],[])).
% 48.88/31.52 tff(677,plain,
% 48.88/31.52 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s6) | (~node67(s6)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | ((~node67(s6)) | m_processor_v_writable(c_p1, s6)))),
% 48.88/31.52 inference(monotonicity,[status(thm)],[676])).
% 48.88/31.52 tff(678,plain,
% 48.88/31.52 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s6) | (~node67(s6)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (~node67(s6)) | m_processor_v_writable(c_p1, s6))),
% 48.88/31.52 inference(transitivity,[status(thm)],[677, 675])).
% 48.88/31.52 tff(679,plain,
% 48.88/31.52 ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s6) | (~node67(s6)))),
% 48.88/31.52 inference(quant_inst,[status(thm)],[])).
% 48.88/31.52 tff(680,plain,
% 48.88/31.52 ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (~node67(s6)) | m_processor_v_writable(c_p1, s6)),
% 48.88/31.52 inference(modus_ponens,[status(thm)],[679, 678])).
% 48.88/31.52 tff(681,plain,
% 48.88/31.52 ($false),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[680, 98, 36, 674])).
% 48.88/31.52 tff(682,plain,((~node67(s6)) | m_processor_v_writable(c_p1, s6)), inference(lemma,lemma(discharge,[]))).
% 48.88/31.52 tff(683,plain,
% 48.88/31.52 (~node67(s6)),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[682, 673])).
% 48.88/31.52 tff(684,plain,
% 48.88/31.52 (~node32(c_p1, s5, s6)),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[566, 143, 53, 1])).
% 48.88/31.52 tff(685,plain,
% 48.88/31.52 (~m_processor_v_abort(c_p1, s5)),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[250, 684])).
% 48.88/31.52 tff(686,assumption,(~node60(c_p1, s5)), introduced(assumption)).
% 48.88/31.52 tff(687,plain,
% 48.88/31.52 (^[I0: $i, X: $i] : refl((m_processor_v_abort(I0, X) | node60(I0, X)) <=> (m_processor_v_abort(I0, X) | node60(I0, X)))),
% 48.88/31.52 inference(bind,[status(th)],[])).
% 48.88/31.52 tff(688,plain,
% 48.88/31.52 (![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X)) <=> ![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))),
% 48.88/31.52 inference(quant_intro,[status(thm)],[687])).
% 48.88/31.52 tff(689,plain,
% 48.88/31.52 (![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X)) <=> ![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))),
% 48.88/31.52 inference(rewrite,[status(thm)],[])).
% 48.88/31.52 tff(690,axiom,(![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_140')).
% 48.88/31.52 tff(691,plain,
% 48.88/31.52 (![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))),
% 48.88/31.52 inference(modus_ponens,[status(thm)],[690, 689])).
% 48.88/31.52 tff(692,plain,(
% 48.88/31.52 ![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))),
% 48.88/31.52 inference(skolemize,[status(sab)],[691])).
% 48.88/31.52 tff(693,plain,
% 48.88/31.52 (![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))),
% 48.88/31.52 inference(modus_ponens,[status(thm)],[692, 688])).
% 48.88/31.52 tff(694,plain,
% 48.88/31.52 (((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p1, s5) | node60(c_p1, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p1, s5) | node60(c_p1, s5))),
% 48.88/31.52 inference(rewrite,[status(thm)],[])).
% 48.88/31.52 tff(695,plain,
% 48.88/31.52 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p1, s5) | node60(c_p1, s5))),
% 48.88/31.52 inference(quant_inst,[status(thm)],[])).
% 48.88/31.52 tff(696,plain,
% 48.88/31.52 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p1, s5) | node60(c_p1, s5)),
% 48.88/31.52 inference(modus_ponens,[status(thm)],[695, 694])).
% 48.88/31.52 tff(697,plain,
% 48.88/31.52 ($false),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[696, 693, 273, 686])).
% 48.88/31.52 tff(698,plain,(m_processor_v_abort(c_p1, s5) | node60(c_p1, s5)), inference(lemma,lemma(discharge,[]))).
% 48.88/31.52 tff(699,plain,
% 48.88/31.52 (node60(c_p1, s5)),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[698, 685])).
% 48.88/31.52 tff(700,plain,
% 48.88/31.52 (m_processor_v_CMD(c_p1, s5, c_read_h_owned)),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[629, 143, 53, 1])).
% 48.88/31.52 tff(701,plain,
% 48.88/31.52 (^[I0: $i, X: $i] : refl(((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X))) <=> ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X))))),
% 48.88/31.52 inference(bind,[status(th)],[])).
% 48.88/31.52 tff(702,plain,
% 48.88/31.52 (![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))),
% 48.88/31.52 inference(quant_intro,[status(thm)],[701])).
% 48.88/31.52 tff(703,plain,
% 48.88/31.52 (![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))),
% 48.88/31.52 inference(rewrite,[status(thm)],[])).
% 48.88/31.52 tff(704,axiom,(![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_135')).
% 48.88/31.52 tff(705,plain,
% 48.88/31.52 (![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))),
% 48.88/31.52 inference(modus_ponens,[status(thm)],[704, 703])).
% 48.88/31.52 tff(706,plain,(
% 48.88/31.52 ![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))),
% 48.88/31.52 inference(skolemize,[status(sab)],[705])).
% 48.88/31.52 tff(707,plain,
% 48.88/31.52 (![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))),
% 48.88/31.52 inference(modus_ponens,[status(thm)],[706, 702])).
% 48.88/31.52 tff(708,plain,
% 48.88/31.52 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | (~node59(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | (~node59(c_p1, s5)))),
% 48.88/31.52 inference(rewrite,[status(thm)],[])).
% 48.88/31.52 tff(709,plain,
% 48.88/31.52 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | (~node59(c_p1, s5)))),
% 48.88/31.52 inference(quant_inst,[status(thm)],[])).
% 48.88/31.52 tff(710,plain,
% 48.88/31.52 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | (~node59(c_p1, s5))),
% 48.88/31.52 inference(modus_ponens,[status(thm)],[709, 708])).
% 48.88/31.52 tff(711,plain,
% 48.88/31.52 (~node59(c_p1, s5)),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[710, 707, 700])).
% 48.88/31.52 tff(712,assumption,(~node59(c_p1, s5)), introduced(assumption)).
% 48.88/31.52 tff(713,assumption,(m_processor_v_REPLY_h_WAITING(c_p1, s5)), introduced(assumption)).
% 48.88/31.52 tff(714,assumption,(node60(c_p1, s5)), introduced(assumption)).
% 48.88/31.52 tff(715,plain,
% 48.88/31.52 (^[I0: $i, X: $i] : refl((node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X))) <=> (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X))))),
% 48.88/31.52 inference(bind,[status(th)],[])).
% 48.88/31.52 tff(716,plain,
% 48.88/31.52 (![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X))) <=> ![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))),
% 48.88/31.52 inference(quant_intro,[status(thm)],[715])).
% 48.88/31.52 tff(717,plain,
% 48.88/31.52 (![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X))) <=> ![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))),
% 48.88/31.52 inference(rewrite,[status(thm)],[])).
% 48.88/31.52 tff(718,plain,
% 48.88/31.52 (^[I0: $i, X: $i] : trans(monotonicity(rewrite((node59(I0, X) | (~m_processor_v_REPLY_h_WAITING(I0, X))) <=> (node59(I0, X) | (~m_processor_v_REPLY_h_WAITING(I0, X)))), (((node59(I0, X) | (~m_processor_v_REPLY_h_WAITING(I0, X))) | (~node60(I0, X))) <=> ((node59(I0, X) | (~m_processor_v_REPLY_h_WAITING(I0, X))) | (~node60(I0, X))))), rewrite(((node59(I0, X) | (~m_processor_v_REPLY_h_WAITING(I0, X))) | (~node60(I0, X))) <=> (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))), (((node59(I0, X) | (~m_processor_v_REPLY_h_WAITING(I0, X))) | (~node60(I0, X))) <=> (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))))),
% 48.88/31.52 inference(bind,[status(th)],[])).
% 48.88/31.52 tff(719,plain,
% 48.88/31.52 (![I0: $i, X: $i] : ((node59(I0, X) | (~m_processor_v_REPLY_h_WAITING(I0, X))) | (~node60(I0, X))) <=> ![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))),
% 48.88/31.52 inference(quant_intro,[status(thm)],[718])).
% 48.88/31.52 tff(720,axiom,(![I0: $i, X: $i] : ((node59(I0, X) | (~m_processor_v_REPLY_h_WAITING(I0, X))) | (~node60(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_137')).
% 48.88/31.52 tff(721,plain,
% 48.88/31.52 (![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))),
% 48.88/31.52 inference(modus_ponens,[status(thm)],[720, 719])).
% 48.88/31.52 tff(722,plain,
% 48.88/31.52 (![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))),
% 48.88/31.52 inference(modus_ponens,[status(thm)],[721, 717])).
% 48.88/31.52 tff(723,plain,(
% 48.88/31.52 ![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))),
% 48.88/31.52 inference(skolemize,[status(sab)],[722])).
% 48.88/31.52 tff(724,plain,
% 48.88/31.52 (![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))),
% 48.88/31.52 inference(modus_ponens,[status(thm)],[723, 716])).
% 48.88/31.52 tff(725,plain,
% 48.88/31.52 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p1, s5)) | (~node60(c_p1, s5)) | node59(c_p1, s5))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s5)) | (~node60(c_p1, s5)) | node59(c_p1, s5))),
% 48.88/31.52 inference(rewrite,[status(thm)],[])).
% 48.88/31.52 tff(726,plain,
% 48.88/31.52 ((node59(c_p1, s5) | (~node60(c_p1, s5)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s5))) <=> ((~m_processor_v_REPLY_h_WAITING(c_p1, s5)) | (~node60(c_p1, s5)) | node59(c_p1, s5))),
% 48.88/31.52 inference(rewrite,[status(thm)],[])).
% 48.88/31.52 tff(727,plain,
% 48.88/31.52 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s5) | (~node60(c_p1, s5)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p1, s5)) | (~node60(c_p1, s5)) | node59(c_p1, s5)))),
% 48.88/31.52 inference(monotonicity,[status(thm)],[726])).
% 48.88/31.52 tff(728,plain,
% 48.88/31.52 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s5) | (~node60(c_p1, s5)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s5)) | (~node60(c_p1, s5)) | node59(c_p1, s5))),
% 48.88/31.52 inference(transitivity,[status(thm)],[727, 725])).
% 48.88/31.52 tff(729,plain,
% 48.88/31.52 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s5) | (~node60(c_p1, s5)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s5)))),
% 48.88/31.52 inference(quant_inst,[status(thm)],[])).
% 48.88/31.52 tff(730,plain,
% 48.88/31.52 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s5)) | (~node60(c_p1, s5)) | node59(c_p1, s5)),
% 48.88/31.52 inference(modus_ponens,[status(thm)],[729, 728])).
% 48.88/31.52 tff(731,plain,
% 48.88/31.52 ($false),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[730, 724, 714, 713, 712])).
% 48.88/31.52 tff(732,plain,((~m_processor_v_REPLY_h_WAITING(c_p1, s5)) | (~node60(c_p1, s5)) | node59(c_p1, s5)), inference(lemma,lemma(discharge,[]))).
% 48.88/31.52 tff(733,plain,
% 48.88/31.52 (~m_processor_v_REPLY_h_WAITING(c_p1, s5)),
% 48.88/31.52 inference(unit_resolution,[status(thm)],[732, 711, 699])).
% 48.88/31.52 tff(734,assumption,(~m_processor_v_REPLY_h_WAITING(c_p1, s5)), introduced(assumption)).
% 48.88/31.52 tff(735,assumption,(m_main_v_REPLY_h_WAITING(s5)), introduced(assumption)).
% 48.88/31.52 tff(736,plain,
% 48.88/31.52 (^[X: $i] : refl(((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X)) <=> ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X)))),
% 48.88/31.53 inference(bind,[status(th)],[])).
% 48.88/31.53 tff(737,plain,
% 48.88/31.53 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))),
% 48.88/31.53 inference(quant_intro,[status(thm)],[736])).
% 48.88/31.53 tff(738,plain,
% 48.88/31.53 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))),
% 48.88/31.53 inference(rewrite,[status(thm)],[])).
% 48.88/31.53 tff(739,plain,
% 48.88/31.53 (^[X: $i] : rewrite((m_processor_v_REPLY_h_WAITING(c_p1, X) | (~m_main_v_REPLY_h_WAITING(X))) <=> ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X)))),
% 48.88/31.53 inference(bind,[status(th)],[])).
% 48.88/31.53 tff(740,plain,
% 48.88/31.53 (![X: $i] : (m_processor_v_REPLY_h_WAITING(c_p1, X) | (~m_main_v_REPLY_h_WAITING(X))) <=> ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))),
% 48.88/31.53 inference(quant_intro,[status(thm)],[739])).
% 48.88/31.53 tff(741,axiom,(![X: $i] : (m_processor_v_REPLY_h_WAITING(c_p1, X) | (~m_main_v_REPLY_h_WAITING(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_61')).
% 48.88/31.53 tff(742,plain,
% 48.88/31.53 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))),
% 48.88/31.53 inference(modus_ponens,[status(thm)],[741, 740])).
% 48.88/31.53 tff(743,plain,
% 48.88/31.53 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))),
% 48.88/31.53 inference(modus_ponens,[status(thm)],[742, 738])).
% 48.88/31.53 tff(744,plain,(
% 48.88/31.53 ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))),
% 48.88/31.53 inference(skolemize,[status(sab)],[743])).
% 48.88/31.53 tff(745,plain,
% 48.88/31.53 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))),
% 48.88/31.53 inference(modus_ponens,[status(thm)],[744, 737])).
% 48.88/31.53 tff(746,plain,
% 48.88/31.53 (((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | ((~m_main_v_REPLY_h_WAITING(s5)) | m_processor_v_REPLY_h_WAITING(c_p1, s5))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | (~m_main_v_REPLY_h_WAITING(s5)) | m_processor_v_REPLY_h_WAITING(c_p1, s5))),
% 48.88/31.53 inference(rewrite,[status(thm)],[])).
% 48.88/31.53 tff(747,plain,
% 48.88/31.53 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | ((~m_main_v_REPLY_h_WAITING(s5)) | m_processor_v_REPLY_h_WAITING(c_p1, s5))),
% 48.88/31.53 inference(quant_inst,[status(thm)],[])).
% 48.88/31.53 tff(748,plain,
% 48.88/31.53 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | (~m_main_v_REPLY_h_WAITING(s5)) | m_processor_v_REPLY_h_WAITING(c_p1, s5)),
% 48.88/31.53 inference(modus_ponens,[status(thm)],[747, 746])).
% 48.88/31.53 tff(749,plain,
% 48.88/31.53 ($false),
% 48.88/31.53 inference(unit_resolution,[status(thm)],[748, 745, 735, 734])).
% 48.88/31.53 tff(750,plain,(m_processor_v_REPLY_h_WAITING(c_p1, s5) | (~m_main_v_REPLY_h_WAITING(s5))), inference(lemma,lemma(discharge,[]))).
% 48.88/31.53 tff(751,plain,
% 48.88/31.53 (~m_main_v_REPLY_h_WAITING(s5)),
% 48.88/31.53 inference(unit_resolution,[status(thm)],[750, 733])).
% 48.88/31.53 tff(752,assumption,(~m_main_v_REPLY_h_WAITING(s5)), introduced(assumption)).
% 48.88/31.53 tff(753,assumption,(~node6(s5)), introduced(assumption)).
% 48.88/31.53 tff(754,plain,
% 48.88/31.53 (^[X: $i] : refl((m_main_v_REPLY_h_WAITING(X) | node6(X)) <=> (m_main_v_REPLY_h_WAITING(X) | node6(X)))),
% 48.88/31.53 inference(bind,[status(th)],[])).
% 48.88/31.53 tff(755,plain,
% 48.88/31.53 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X)) <=> ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))),
% 48.88/31.53 inference(quant_intro,[status(thm)],[754])).
% 48.88/31.53 tff(756,plain,
% 48.88/31.53 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X)) <=> ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))),
% 48.88/31.53 inference(rewrite,[status(thm)],[])).
% 48.88/31.53 tff(757,axiom,(![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_82')).
% 48.88/31.53 tff(758,plain,
% 48.88/31.53 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))),
% 48.88/31.53 inference(modus_ponens,[status(thm)],[757, 756])).
% 48.88/31.53 tff(759,plain,(
% 48.88/31.53 ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))),
% 48.88/31.53 inference(skolemize,[status(sab)],[758])).
% 48.88/31.53 tff(760,plain,
% 48.88/31.53 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))),
% 48.88/31.53 inference(modus_ponens,[status(thm)],[759, 755])).
% 48.88/31.53 tff(761,plain,
% 48.88/31.53 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | (m_main_v_REPLY_h_WAITING(s5) | node6(s5))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | m_main_v_REPLY_h_WAITING(s5) | node6(s5))),
% 48.88/31.53 inference(rewrite,[status(thm)],[])).
% 48.88/31.53 tff(762,plain,
% 48.88/31.53 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | (m_main_v_REPLY_h_WAITING(s5) | node6(s5))),
% 48.88/31.53 inference(quant_inst,[status(thm)],[])).
% 48.88/31.53 tff(763,plain,
% 48.88/31.53 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | m_main_v_REPLY_h_WAITING(s5) | node6(s5)),
% 48.88/31.53 inference(modus_ponens,[status(thm)],[762, 761])).
% 48.88/31.53 tff(764,plain,
% 48.88/31.53 ($false),
% 48.88/31.53 inference(unit_resolution,[status(thm)],[763, 760, 753, 752])).
% 48.88/31.53 tff(765,plain,(m_main_v_REPLY_h_WAITING(s5) | node6(s5)), inference(lemma,lemma(discharge,[]))).
% 48.88/31.53 tff(766,plain,
% 48.88/31.53 (node6(s5)),
% 48.88/31.53 inference(unit_resolution,[status(thm)],[765, 751])).
% 48.88/31.53 tff(767,assumption,(node6(s5)), introduced(assumption)).
% 48.88/31.53 tff(768,assumption,(m_processor_v_reply_h_waiting(c_p0, s5)), introduced(assumption)).
% 48.88/31.53 tff(769,plain,
% 48.88/31.53 (^[X: $i] : refl(((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X))) <=> ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X))))),
% 48.88/31.53 inference(bind,[status(th)],[])).
% 48.88/31.53 tff(770,plain,
% 48.88/31.53 (![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X))) <=> ![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))),
% 48.88/31.53 inference(quant_intro,[status(thm)],[769])).
% 48.88/31.53 tff(771,plain,
% 48.88/31.53 (![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X))) <=> ![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))),
% 48.88/31.53 inference(rewrite,[status(thm)],[])).
% 48.88/31.53 tff(772,plain,
% 48.88/31.53 (^[X: $i] : rewrite(((~m_processor_v_reply_h_waiting(c_p0, X)) | (~node6(X))) <=> ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X))))),
% 48.88/31.53 inference(bind,[status(th)],[])).
% 48.88/31.53 tff(773,plain,
% 48.88/31.53 (![X: $i] : ((~m_processor_v_reply_h_waiting(c_p0, X)) | (~node6(X))) <=> ![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))),
% 48.88/31.53 inference(quant_intro,[status(thm)],[772])).
% 48.88/31.53 tff(774,axiom,(![X: $i] : ((~m_processor_v_reply_h_waiting(c_p0, X)) | (~node6(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_79')).
% 48.88/31.53 tff(775,plain,
% 48.88/31.53 (![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))),
% 48.88/31.53 inference(modus_ponens,[status(thm)],[774, 773])).
% 48.88/31.53 tff(776,plain,
% 48.88/31.53 (![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))),
% 48.88/31.53 inference(modus_ponens,[status(thm)],[775, 771])).
% 48.88/31.53 tff(777,plain,(
% 48.88/31.53 ![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))),
% 48.88/31.53 inference(skolemize,[status(sab)],[776])).
% 48.88/31.53 tff(778,plain,
% 48.88/31.53 (![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))),
% 48.88/31.53 inference(modus_ponens,[status(thm)],[777, 770])).
% 48.88/31.53 tff(779,plain,
% 48.88/31.53 (((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | ((~node6(s5)) | (~m_processor_v_reply_h_waiting(c_p0, s5)))) <=> ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | (~node6(s5)) | (~m_processor_v_reply_h_waiting(c_p0, s5)))),
% 48.88/31.53 inference(rewrite,[status(thm)],[])).
% 48.88/31.53 tff(780,plain,
% 48.88/31.53 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | ((~node6(s5)) | (~m_processor_v_reply_h_waiting(c_p0, s5)))),
% 48.88/31.53 inference(quant_inst,[status(thm)],[])).
% 48.88/31.53 tff(781,plain,
% 48.88/31.53 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | (~node6(s5)) | (~m_processor_v_reply_h_waiting(c_p0, s5))),
% 48.88/31.53 inference(modus_ponens,[status(thm)],[780, 779])).
% 48.88/31.53 tff(782,plain,
% 48.88/31.53 ($false),
% 48.88/31.53 inference(unit_resolution,[status(thm)],[781, 778, 768, 767])).
% 48.88/31.53 tff(783,plain,((~m_processor_v_reply_h_waiting(c_p0, s5)) | (~node6(s5))), inference(lemma,lemma(discharge,[]))).
% 48.88/31.53 tff(784,plain,
% 48.88/31.53 (~m_processor_v_reply_h_waiting(c_p0, s5)),
% 48.88/31.53 inference(unit_resolution,[status(thm)],[783, 766])).
% 48.88/31.53 tff(785,assumption,(m_processor_v_state(c_p0, s6, c_owned)), introduced(assumption)).
% 48.88/31.53 tff(786,plain,
% 48.88/31.53 (m_processor_v_state(c_p1, s6, c_owned)),
% 48.88/31.53 inference(unit_resolution,[status(thm)],[158, 143, 1])).
% 48.88/31.53 tff(787,plain,
% 48.88/31.53 (m_processor_v_master(c_p1, s5)),
% 48.88/31.53 inference(unit_resolution,[status(thm)],[531, 786, 53, 1])).
% 48.88/31.53 tff(788,plain,
% 48.88/31.53 (^[X: $i] : refl(((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X))) <=> ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X))))),
% 48.88/31.53 inference(bind,[status(th)],[])).
% 48.88/31.53 tff(789,plain,
% 48.88/31.53 (![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X))) <=> ![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))),
% 48.88/31.53 inference(quant_intro,[status(thm)],[788])).
% 48.88/31.53 tff(790,plain,
% 48.88/31.53 (![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X))) <=> ![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))),
% 48.88/31.53 inference(rewrite,[status(thm)],[])).
% 48.88/31.53 tff(791,axiom,(![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_116')).
% 48.88/31.53 tff(792,plain,
% 48.88/31.53 (![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))),
% 48.88/31.53 inference(modus_ponens,[status(thm)],[791, 790])).
% 48.88/31.53 tff(793,plain,(
% 48.88/31.53 ![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))),
% 48.88/31.53 inference(skolemize,[status(sab)],[792])).
% 48.88/31.53 tff(794,plain,
% 48.88/31.53 (![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))),
% 48.88/31.53 inference(modus_ponens,[status(thm)],[793, 789])).
% 48.88/31.53 tff(795,plain,
% 48.88/31.53 (((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | ((~m_processor_v_master(c_p0, s5)) | (~m_processor_v_master(c_p1, s5)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | (~m_processor_v_master(c_p0, s5)) | (~m_processor_v_master(c_p1, s5)))),
% 48.88/31.53 inference(rewrite,[status(thm)],[])).
% 48.88/31.53 tff(796,plain,
% 48.88/31.53 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | ((~m_processor_v_master(c_p0, s5)) | (~m_processor_v_master(c_p1, s5)))),
% 48.88/31.53 inference(quant_inst,[status(thm)],[])).
% 48.88/31.53 tff(797,plain,
% 48.88/31.53 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | (~m_processor_v_master(c_p0, s5)) | (~m_processor_v_master(c_p1, s5))),
% 48.88/31.53 inference(modus_ponens,[status(thm)],[796, 795])).
% 48.88/31.53 tff(798,plain,
% 48.88/31.53 (~m_processor_v_master(c_p0, s5)),
% 48.88/31.53 inference(unit_resolution,[status(thm)],[797, 794, 787])).
% 48.88/31.53 tff(799,assumption,(~m_processor_v_state(c_p0, s5, c_owned)), introduced(assumption)).
% 48.88/31.53 tff(800,assumption,(~m_processor_v_master(c_p0, s5)), introduced(assumption)).
% 48.88/31.53 tff(801,assumption,(m_processor_v_state(c_p0, s6, c_shared)), introduced(assumption)).
% 48.88/31.53 tff(802,plain,
% 48.88/31.53 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s6, c_owned)) | (~m_processor_v_state(c_p0, s6, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s6, c_owned)) | (~m_processor_v_state(c_p0, s6, c_shared)))),
% 48.88/31.53 inference(rewrite,[status(thm)],[])).
% 48.88/31.53 tff(803,plain,
% 48.88/31.53 (((~m_processor_v_state(c_p0, s6, c_shared)) | (~m_processor_v_state(c_p0, s6, c_owned))) <=> ((~m_processor_v_state(c_p0, s6, c_owned)) | (~m_processor_v_state(c_p0, s6, c_shared)))),
% 48.88/31.53 inference(rewrite,[status(thm)],[])).
% 48.88/31.53 tff(804,plain,
% 48.88/31.53 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s6, c_shared)) | (~m_processor_v_state(c_p0, s6, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s6, c_owned)) | (~m_processor_v_state(c_p0, s6, c_shared))))),
% 48.88/31.53 inference(monotonicity,[status(thm)],[803])).
% 48.88/31.53 tff(805,plain,
% 48.88/31.53 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s6, c_shared)) | (~m_processor_v_state(c_p0, s6, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s6, c_owned)) | (~m_processor_v_state(c_p0, s6, c_shared)))),
% 48.88/31.53 inference(transitivity,[status(thm)],[804, 802])).
% 48.88/31.53 tff(806,plain,
% 48.88/31.53 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s6, c_shared)) | (~m_processor_v_state(c_p0, s6, c_owned)))),
% 48.88/31.53 inference(quant_inst,[status(thm)],[])).
% 48.88/31.53 tff(807,plain,
% 48.88/31.53 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s6, c_owned)) | (~m_processor_v_state(c_p0, s6, c_shared))),
% 48.88/31.53 inference(modus_ponens,[status(thm)],[806, 805])).
% 48.88/31.53 tff(808,plain,
% 48.88/31.53 ($false),
% 48.88/31.53 inference(unit_resolution,[status(thm)],[807, 121, 785, 801])).
% 48.88/31.53 tff(809,plain,((~m_processor_v_state(c_p0, s6, c_shared)) | (~m_processor_v_state(c_p0, s6, c_owned))), inference(lemma,lemma(discharge,[]))).
% 48.88/31.53 tff(810,plain,
% 48.88/31.53 (~m_processor_v_state(c_p0, s6, c_shared)),
% 48.88/31.53 inference(unit_resolution,[status(thm)],[809, 785])).
% 48.88/31.53 tff(811,assumption,(~m_processor_v_CMD(c_p0, s5, c_read_h_owned)), introduced(assumption)).
% 48.88/31.53 tff(812,assumption,(~m_processor_v_state(c_p0, s6, c_invalid)), introduced(assumption)).
% 48.88/31.53 tff(813,assumption,(~m_processor_v_state(c_p0, s6, c_shared)), introduced(assumption)).
% 48.88/31.53 tff(814,assumption,(~m_processor_v_state(c_p0, s5, c_invalid)), introduced(assumption)).
% 48.88/31.53 tff(815,plain,
% 48.88/31.53 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s6, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s6, c_invalid))),
% 48.88/31.53 inference(rewrite,[status(thm)],[])).
% 48.88/31.53 tff(816,plain,
% 48.88/31.53 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s6, c_invalid))),
% 48.88/31.53 inference(quant_inst,[status(thm)],[])).
% 48.88/31.53 tff(817,plain,
% 48.88/31.53 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s6, c_invalid)),
% 48.88/31.53 inference(modus_ponens,[status(thm)],[816, 815])).
% 48.88/31.53 tff(818,plain,
% 48.88/31.53 ($false),
% 48.88/31.53 inference(unit_resolution,[status(thm)],[817, 153, 5, 813, 812])).
% 48.88/31.53 tff(819,plain,(m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s6, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 48.88/31.53 tff(820,plain,
% 48.88/31.53 (m_processor_v_state(c_p0, s6, c_owned)),
% 48.88/31.53 inference(unit_resolution,[status(thm)],[819, 812, 813])).
% 48.88/31.53 tff(821,plain,
% 48.88/31.53 (^[V: $i, Y: $i, I0: $i, X: $i] : refl((m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y))) <=> (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y))))),
% 48.88/31.53 inference(bind,[status(th)],[])).
% 48.88/31.53 tff(822,plain,
% 48.88/31.53 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))),
% 48.88/31.53 inference(quant_intro,[status(thm)],[821])).
% 48.88/31.53 tff(823,plain,
% 48.88/31.53 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))),
% 48.88/31.53 inference(rewrite,[status(thm)],[])).
% 48.88/31.53 tff(824,plain,
% 48.88/31.53 (^[V: $i, Y: $i, I0: $i, X: $i] : rewrite((((~m_processor_v_state(I0, Y, V)) | m_processor_v_state(I0, X, V)) | (~node33(I0, X, Y))) <=> (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y))))),
% 48.88/31.53 inference(bind,[status(th)],[])).
% 48.88/31.53 tff(825,plain,
% 48.88/31.53 (![V: $i, Y: $i, I0: $i, X: $i] : (((~m_processor_v_state(I0, Y, V)) | m_processor_v_state(I0, X, V)) | (~node33(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))),
% 48.88/31.53 inference(quant_intro,[status(thm)],[824])).
% 48.88/31.53 tff(826,axiom,(![V: $i, Y: $i, I0: $i, X: $i] : (((~m_processor_v_state(I0, Y, V)) | m_processor_v_state(I0, X, V)) | (~node33(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_52')).
% 48.88/31.53 tff(827,plain,
% 48.88/31.53 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))),
% 48.88/31.53 inference(modus_ponens,[status(thm)],[826, 825])).
% 48.88/31.53 tff(828,plain,
% 48.88/31.53 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))),
% 48.88/31.53 inference(modus_ponens,[status(thm)],[827, 823])).
% 48.88/31.53 tff(829,plain,(
% 48.88/31.53 ![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))),
% 48.88/31.53 inference(skolemize,[status(sab)],[828])).
% 48.88/31.53 tff(830,plain,
% 48.88/31.53 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))),
% 48.88/31.53 inference(modus_ponens,[status(thm)],[829, 822])).
% 48.88/31.53 tff(831,plain,
% 48.88/31.53 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p0, s5, c_owned) | (~m_processor_v_state(c_p0, s6, c_owned)) | (~node33(c_p0, s5, s6)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p0, s5, c_owned) | (~m_processor_v_state(c_p0, s6, c_owned)) | (~node33(c_p0, s5, s6)))),
% 48.88/31.53 inference(rewrite,[status(thm)],[])).
% 48.88/31.53 tff(832,plain,
% 48.88/31.53 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p0, s5, c_owned) | (~m_processor_v_state(c_p0, s6, c_owned)) | (~node33(c_p0, s5, s6)))),
% 48.88/31.53 inference(quant_inst,[status(thm)],[])).
% 48.88/31.53 tff(833,plain,
% 48.88/31.53 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p0, s5, c_owned) | (~m_processor_v_state(c_p0, s6, c_owned)) | (~node33(c_p0, s5, s6))),
% 48.88/31.53 inference(modus_ponens,[status(thm)],[832, 831])).
% 48.88/31.53 tff(834,plain,
% 48.88/31.53 (~node33(c_p0, s5, s6)),
% 48.88/31.53 inference(unit_resolution,[status(thm)],[833, 830, 820, 799])).
% 48.88/31.53 tff(835,assumption,(~m_processor_v_abort(c_p0, s5)), introduced(assumption)).
% 48.88/31.53 tff(836,plain,
% 48.88/31.53 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p0, s5, c_owned) | m_processor_v_state(c_p0, s5, c_invalid) | m_processor_v_state(c_p0, s5, c_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p0, s5, c_owned) | m_processor_v_state(c_p0, s5, c_invalid) | m_processor_v_state(c_p0, s5, c_shared))),
% 48.88/31.53 inference(rewrite,[status(thm)],[])).
% 48.88/31.53 tff(837,plain,
% 48.88/31.53 ((m_processor_v_state(c_p0, s5, c_owned) | m_processor_v_state(c_p0, s5, c_shared) | m_processor_v_state(c_p0, s5, c_invalid)) <=> (m_processor_v_state(c_p0, s5, c_owned) | m_processor_v_state(c_p0, s5, c_invalid) | m_processor_v_state(c_p0, s5, c_shared))),
% 48.88/31.53 inference(rewrite,[status(thm)],[])).
% 48.88/31.53 tff(838,plain,
% 48.88/31.53 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p0, s5, c_owned) | m_processor_v_state(c_p0, s5, c_shared) | m_processor_v_state(c_p0, s5, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p0, s5, c_owned) | m_processor_v_state(c_p0, s5, c_invalid) | m_processor_v_state(c_p0, s5, c_shared)))),
% 48.88/31.53 inference(monotonicity,[status(thm)],[837])).
% 48.88/31.53 tff(839,plain,
% 48.88/31.53 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p0, s5, c_owned) | m_processor_v_state(c_p0, s5, c_shared) | m_processor_v_state(c_p0, s5, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p0, s5, c_owned) | m_processor_v_state(c_p0, s5, c_invalid) | m_processor_v_state(c_p0, s5, c_shared))),
% 48.88/31.53 inference(transitivity,[status(thm)],[838, 836])).
% 48.88/31.53 tff(840,plain,
% 48.88/31.53 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p0, s5, c_owned) | m_processor_v_state(c_p0, s5, c_shared) | m_processor_v_state(c_p0, s5, c_invalid))),
% 48.88/31.53 inference(quant_inst,[status(thm)],[])).
% 48.88/31.53 tff(841,plain,
% 48.88/31.53 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p0, s5, c_owned) | m_processor_v_state(c_p0, s5, c_invalid) | m_processor_v_state(c_p0, s5, c_shared)),
% 48.88/31.53 inference(modus_ponens,[status(thm)],[840, 839])).
% 48.88/31.53 tff(842,plain,
% 48.88/31.53 (m_processor_v_state(c_p0, s5, c_shared)),
% 48.88/31.53 inference(unit_resolution,[status(thm)],[841, 153, 814, 799])).
% 48.88/31.53 tff(843,assumption,(~node38(c_p0, s5, s6)), introduced(assumption)).
% 48.88/31.53 tff(844,plain,
% 48.88/31.53 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s5, s6)) | node38(c_p0, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s5, s6)) | node38(c_p0, s5, s6))),
% 48.88/31.53 inference(rewrite,[status(thm)],[])).
% 48.88/31.53 tff(845,plain,
% 48.88/31.53 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s5, s6)) | node38(c_p0, s5, s6))),
% 48.88/31.53 inference(quant_inst,[status(thm)],[])).
% 48.88/31.53 tff(846,plain,
% 48.88/31.53 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s5, s6)) | node38(c_p0, s5, s6)),
% 48.88/31.53 inference(modus_ponens,[status(thm)],[845, 844])).
% 48.88/31.53 tff(847,plain,
% 48.88/31.53 ($false),
% 48.88/31.53 inference(unit_resolution,[status(thm)],[846, 210, 203, 843])).
% 48.88/31.53 tff(848,plain,(node38(c_p0, s5, s6)), inference(lemma,lemma(discharge,[]))).
% 48.88/31.53 tff(849,plain,
% 48.88/31.53 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p0, s5) | m_processor_v_master(c_p0, s5) | (~m_processor_v_state(c_p0, s5, c_shared)) | m_processor_v_abort(c_p0, s5) | m_processor_v_state(c_p0, s6, c_invalid) | (~node38(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p0, s5) | m_processor_v_master(c_p0, s5) | (~m_processor_v_state(c_p0, s5, c_shared)) | m_processor_v_abort(c_p0, s5) | m_processor_v_state(c_p0, s6, c_invalid) | (~node38(c_p0, s5, s6)))),
% 48.88/31.53 inference(rewrite,[status(thm)],[])).
% 48.88/31.53 tff(850,plain,
% 48.88/31.53 (((~m_processor_v_state(c_p0, s5, c_shared)) | m_processor_v_master(c_p0, s5) | node35(c_p0, s5) | m_processor_v_state(c_p0, s6, c_invalid) | (~node38(c_p0, s5, s6)) | m_processor_v_abort(c_p0, s5)) <=> (node35(c_p0, s5) | m_processor_v_master(c_p0, s5) | (~m_processor_v_state(c_p0, s5, c_shared)) | m_processor_v_abort(c_p0, s5) | m_processor_v_state(c_p0, s6, c_invalid) | (~node38(c_p0, s5, s6)))),
% 48.88/31.53 inference(rewrite,[status(thm)],[])).
% 48.88/31.53 tff(851,plain,
% 48.88/31.53 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s5, c_shared)) | m_processor_v_master(c_p0, s5) | node35(c_p0, s5) | m_processor_v_state(c_p0, s6, c_invalid) | (~node38(c_p0, s5, s6)) | m_processor_v_abort(c_p0, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p0, s5) | m_processor_v_master(c_p0, s5) | (~m_processor_v_state(c_p0, s5, c_shared)) | m_processor_v_abort(c_p0, s5) | m_processor_v_state(c_p0, s6, c_invalid) | (~node38(c_p0, s5, s6))))),
% 48.88/31.53 inference(monotonicity,[status(thm)],[850])).
% 48.88/31.53 tff(852,plain,
% 48.88/31.53 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s5, c_shared)) | m_processor_v_master(c_p0, s5) | node35(c_p0, s5) | m_processor_v_state(c_p0, s6, c_invalid) | (~node38(c_p0, s5, s6)) | m_processor_v_abort(c_p0, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p0, s5) | m_processor_v_master(c_p0, s5) | (~m_processor_v_state(c_p0, s5, c_shared)) | m_processor_v_abort(c_p0, s5) | m_processor_v_state(c_p0, s6, c_invalid) | (~node38(c_p0, s5, s6)))),
% 48.88/31.53 inference(transitivity,[status(thm)],[851, 849])).
% 48.88/31.53 tff(853,plain,
% 48.88/31.53 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s5, c_shared)) | m_processor_v_master(c_p0, s5) | node35(c_p0, s5) | m_processor_v_state(c_p0, s6, c_invalid) | (~node38(c_p0, s5, s6)) | m_processor_v_abort(c_p0, s5))),
% 48.88/31.53 inference(quant_inst,[status(thm)],[])).
% 48.88/31.53 tff(854,plain,
% 48.88/31.53 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p0, s5) | m_processor_v_master(c_p0, s5) | (~m_processor_v_state(c_p0, s5, c_shared)) | m_processor_v_abort(c_p0, s5) | m_processor_v_state(c_p0, s6, c_invalid) | (~node38(c_p0, s5, s6))),
% 48.88/31.53 inference(modus_ponens,[status(thm)],[853, 852])).
% 48.88/31.53 tff(855,plain,
% 48.88/31.53 (node35(c_p0, s5) | m_processor_v_master(c_p0, s5) | (~m_processor_v_state(c_p0, s5, c_shared)) | m_processor_v_abort(c_p0, s5) | m_processor_v_state(c_p0, s6, c_invalid)),
% 48.88/31.53 inference(unit_resolution,[status(thm)],[854, 301, 848])).
% 48.88/31.53 tff(856,plain,
% 48.88/31.53 (node35(c_p0, s5)),
% 48.88/31.53 inference(unit_resolution,[status(thm)],[855, 842, 812, 800, 835])).
% 48.88/31.53 tff(857,plain,
% 48.88/31.53 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~node35(c_p0, s5)) | (~m_processor_v_CMD(c_p0, s5, c_invalidate)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~node35(c_p0, s5)) | (~m_processor_v_CMD(c_p0, s5, c_invalidate)))),
% 48.88/31.53 inference(rewrite,[status(thm)],[])).
% 48.88/31.53 tff(858,plain,
% 48.88/31.53 (((~m_processor_v_CMD(c_p0, s5, c_invalidate)) | (~node35(c_p0, s5))) <=> ((~node35(c_p0, s5)) | (~m_processor_v_CMD(c_p0, s5, c_invalidate)))),
% 48.88/31.53 inference(rewrite,[status(thm)],[])).
% 48.88/31.53 tff(859,plain,
% 48.88/31.53 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s5, c_invalidate)) | (~node35(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~node35(c_p0, s5)) | (~m_processor_v_CMD(c_p0, s5, c_invalidate))))),
% 48.88/31.54 inference(monotonicity,[status(thm)],[858])).
% 48.88/31.54 tff(860,plain,
% 48.88/31.54 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s5, c_invalidate)) | (~node35(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~node35(c_p0, s5)) | (~m_processor_v_CMD(c_p0, s5, c_invalidate)))),
% 48.88/31.54 inference(transitivity,[status(thm)],[859, 857])).
% 48.88/31.54 tff(861,plain,
% 48.88/31.54 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s5, c_invalidate)) | (~node35(c_p0, s5)))),
% 48.88/31.54 inference(quant_inst,[status(thm)],[])).
% 48.88/31.54 tff(862,plain,
% 48.88/31.54 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~node35(c_p0, s5)) | (~m_processor_v_CMD(c_p0, s5, c_invalidate))),
% 48.88/31.54 inference(modus_ponens,[status(thm)],[861, 860])).
% 48.88/31.54 tff(863,plain,
% 48.88/31.54 (~m_processor_v_CMD(c_p0, s5, c_invalidate)),
% 48.88/31.54 inference(unit_resolution,[status(thm)],[862, 327, 856])).
% 48.88/31.54 tff(864,plain,
% 48.88/31.54 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s5) | (~m_processor_v_state(c_p0, s5, c_shared)) | node36(c_p0, s5) | m_processor_v_abort(c_p0, s5) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s6, c_invalid) | (~node38(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s5) | (~m_processor_v_state(c_p0, s5, c_shared)) | node36(c_p0, s5) | m_processor_v_abort(c_p0, s5) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s6, c_invalid) | (~node38(c_p0, s5, s6)))),
% 48.88/31.54 inference(rewrite,[status(thm)],[])).
% 48.88/31.54 tff(865,plain,
% 48.88/31.54 (((~m_processor_v_state(c_p0, s5, c_shared)) | node36(c_p0, s5) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_master(c_p0, s5) | m_processor_v_state(c_p0, s6, c_invalid) | (~node38(c_p0, s5, s6)) | m_processor_v_abort(c_p0, s5)) <=> (m_processor_v_master(c_p0, s5) | (~m_processor_v_state(c_p0, s5, c_shared)) | node36(c_p0, s5) | m_processor_v_abort(c_p0, s5) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s6, c_invalid) | (~node38(c_p0, s5, s6)))),
% 48.88/31.54 inference(rewrite,[status(thm)],[])).
% 48.88/31.54 tff(866,plain,
% 48.88/31.54 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s5, c_shared)) | node36(c_p0, s5) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_master(c_p0, s5) | m_processor_v_state(c_p0, s6, c_invalid) | (~node38(c_p0, s5, s6)) | m_processor_v_abort(c_p0, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s5) | (~m_processor_v_state(c_p0, s5, c_shared)) | node36(c_p0, s5) | m_processor_v_abort(c_p0, s5) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s6, c_invalid) | (~node38(c_p0, s5, s6))))),
% 48.88/31.54 inference(monotonicity,[status(thm)],[865])).
% 48.88/31.54 tff(867,plain,
% 48.88/31.54 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s5, c_shared)) | node36(c_p0, s5) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_master(c_p0, s5) | m_processor_v_state(c_p0, s6, c_invalid) | (~node38(c_p0, s5, s6)) | m_processor_v_abort(c_p0, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s5) | (~m_processor_v_state(c_p0, s5, c_shared)) | node36(c_p0, s5) | m_processor_v_abort(c_p0, s5) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s6, c_invalid) | (~node38(c_p0, s5, s6)))),
% 48.93/31.54 inference(transitivity,[status(thm)],[866, 864])).
% 48.93/31.54 tff(868,plain,
% 48.93/31.54 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s5, c_shared)) | node36(c_p0, s5) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_master(c_p0, s5) | m_processor_v_state(c_p0, s6, c_invalid) | (~node38(c_p0, s5, s6)) | m_processor_v_abort(c_p0, s5))),
% 48.93/31.54 inference(quant_inst,[status(thm)],[])).
% 48.93/31.54 tff(869,plain,
% 48.93/31.54 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s5) | (~m_processor_v_state(c_p0, s5, c_shared)) | node36(c_p0, s5) | m_processor_v_abort(c_p0, s5) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s6, c_invalid) | (~node38(c_p0, s5, s6))),
% 48.93/31.54 inference(modus_ponens,[status(thm)],[868, 867])).
% 48.93/31.54 tff(870,plain,
% 48.93/31.54 (m_processor_v_master(c_p0, s5) | (~m_processor_v_state(c_p0, s5, c_shared)) | node36(c_p0, s5) | m_processor_v_abort(c_p0, s5) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s6, c_invalid)),
% 48.93/31.54 inference(unit_resolution,[status(thm)],[869, 341, 848])).
% 48.93/31.54 tff(871,plain,
% 48.93/31.54 (node36(c_p0, s5)),
% 48.93/31.54 inference(unit_resolution,[status(thm)],[870, 842, 813, 812, 835, 800])).
% 48.93/31.54 tff(872,plain,
% 48.93/31.54 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s5, c_read_h_owned) | (~node36(c_p0, s5)) | m_processor_v_CMD(c_p0, s5, c_invalidate))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | (~node36(c_p0, s5)) | m_processor_v_CMD(c_p0, s5, c_invalidate))),
% 48.93/31.54 inference(rewrite,[status(thm)],[])).
% 48.93/31.54 tff(873,plain,
% 48.93/31.54 ((m_processor_v_CMD(c_p0, s5, c_invalidate) | (~node36(c_p0, s5)) | m_processor_v_CMD(c_p0, s5, c_read_h_owned)) <=> (m_processor_v_CMD(c_p0, s5, c_read_h_owned) | (~node36(c_p0, s5)) | m_processor_v_CMD(c_p0, s5, c_invalidate))),
% 48.93/31.54 inference(rewrite,[status(thm)],[])).
% 48.93/31.54 tff(874,plain,
% 48.93/31.54 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s5, c_invalidate) | (~node36(c_p0, s5)) | m_processor_v_CMD(c_p0, s5, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s5, c_read_h_owned) | (~node36(c_p0, s5)) | m_processor_v_CMD(c_p0, s5, c_invalidate)))),
% 48.93/31.54 inference(monotonicity,[status(thm)],[873])).
% 48.93/31.54 tff(875,plain,
% 48.93/31.54 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s5, c_invalidate) | (~node36(c_p0, s5)) | m_processor_v_CMD(c_p0, s5, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | (~node36(c_p0, s5)) | m_processor_v_CMD(c_p0, s5, c_invalidate))),
% 48.93/31.54 inference(transitivity,[status(thm)],[874, 872])).
% 48.93/31.54 tff(876,plain,
% 48.93/31.54 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s5, c_invalidate) | (~node36(c_p0, s5)) | m_processor_v_CMD(c_p0, s5, c_read_h_owned))),
% 48.93/31.54 inference(quant_inst,[status(thm)],[])).
% 48.93/31.54 tff(877,plain,
% 48.93/31.54 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | (~node36(c_p0, s5)) | m_processor_v_CMD(c_p0, s5, c_invalidate)),
% 48.93/31.54 inference(modus_ponens,[status(thm)],[876, 875])).
% 48.93/31.54 tff(878,plain,
% 48.93/31.54 ($false),
% 48.93/31.54 inference(unit_resolution,[status(thm)],[877, 359, 871, 811, 863])).
% 48.93/31.54 tff(879,plain,(m_processor_v_master(c_p0, s5) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s6, c_invalid) | m_processor_v_abort(c_p0, s5) | m_processor_v_state(c_p0, s5, c_invalid) | m_processor_v_state(c_p0, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 48.93/31.54 tff(880,plain,
% 48.93/31.54 (m_processor_v_master(c_p0, s5)),
% 48.93/31.54 inference(unit_resolution,[status(thm)],[879, 811, 813, 812, 835, 814, 799])).
% 48.93/31.54 tff(881,plain,
% 48.93/31.54 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | (~node38(c_p0, s5, s6)) | node34(c_p0, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | (~node38(c_p0, s5, s6)) | node34(c_p0, s5, s6))),
% 48.93/31.54 inference(rewrite,[status(thm)],[])).
% 48.93/31.54 tff(882,plain,
% 48.93/31.54 ((node34(c_p0, s5, s6) | (~m_processor_v_master(c_p0, s5)) | (~node38(c_p0, s5, s6)) | m_processor_v_abort(c_p0, s5)) <=> ((~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | (~node38(c_p0, s5, s6)) | node34(c_p0, s5, s6))),
% 48.93/31.54 inference(rewrite,[status(thm)],[])).
% 48.93/31.54 tff(883,plain,
% 48.93/31.54 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s5, s6) | (~m_processor_v_master(c_p0, s5)) | (~node38(c_p0, s5, s6)) | m_processor_v_abort(c_p0, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | (~node38(c_p0, s5, s6)) | node34(c_p0, s5, s6)))),
% 48.93/31.54 inference(monotonicity,[status(thm)],[882])).
% 48.93/31.54 tff(884,plain,
% 48.93/31.54 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s5, s6) | (~m_processor_v_master(c_p0, s5)) | (~node38(c_p0, s5, s6)) | m_processor_v_abort(c_p0, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | (~node38(c_p0, s5, s6)) | node34(c_p0, s5, s6))),
% 48.93/31.54 inference(transitivity,[status(thm)],[883, 881])).
% 48.93/31.54 tff(885,plain,
% 48.93/31.54 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s5, s6) | (~m_processor_v_master(c_p0, s5)) | (~node38(c_p0, s5, s6)) | m_processor_v_abort(c_p0, s5))),
% 48.93/31.54 inference(quant_inst,[status(thm)],[])).
% 48.93/31.54 tff(886,plain,
% 48.93/31.54 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | (~node38(c_p0, s5, s6)) | node34(c_p0, s5, s6)),
% 48.93/31.54 inference(modus_ponens,[status(thm)],[885, 884])).
% 48.93/31.54 tff(887,plain,
% 48.93/31.54 ((~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | node34(c_p0, s5, s6)),
% 48.93/31.54 inference(unit_resolution,[status(thm)],[886, 283, 848])).
% 48.93/31.54 tff(888,plain,
% 48.93/31.54 (node34(c_p0, s5, s6)),
% 48.93/31.54 inference(unit_resolution,[status(thm)],[887, 880, 835])).
% 48.93/31.54 tff(889,plain,
% 48.93/31.54 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)) | (~node34(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)) | (~node34(c_p0, s5, s6)))),
% 48.93/31.54 inference(rewrite,[status(thm)],[])).
% 48.93/31.54 tff(890,plain,
% 48.93/31.54 (((~node34(c_p0, s5, s6)) | m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_CMD(c_p0, s5, c_read_h_shared))) <=> (m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)) | (~node34(c_p0, s5, s6)))),
% 48.93/31.54 inference(rewrite,[status(thm)],[])).
% 48.93/31.54 tff(891,plain,
% 48.93/31.54 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s5, s6)) | m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)) | (~node34(c_p0, s5, s6))))),
% 48.93/31.54 inference(monotonicity,[status(thm)],[890])).
% 48.93/31.54 tff(892,plain,
% 48.93/31.54 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s5, s6)) | m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)) | (~node34(c_p0, s5, s6)))),
% 48.93/31.54 inference(transitivity,[status(thm)],[891, 889])).
% 48.93/31.54 tff(893,plain,
% 48.93/31.54 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s5, s6)) | m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)))),
% 48.93/31.54 inference(quant_inst,[status(thm)],[])).
% 48.93/31.54 tff(894,plain,
% 48.93/31.54 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)) | (~node34(c_p0, s5, s6))),
% 48.93/31.54 inference(modus_ponens,[status(thm)],[893, 892])).
% 48.93/31.54 tff(895,plain,
% 48.93/31.54 (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)),
% 48.93/31.54 inference(unit_resolution,[status(thm)],[894, 416, 813, 888])).
% 48.93/31.54 tff(896,plain,
% 48.93/31.54 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_state(c_p0, s6, c_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_invalid)) | (~node34(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_state(c_p0, s6, c_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_invalid)) | (~node34(c_p0, s5, s6)))),
% 48.93/31.54 inference(rewrite,[status(thm)],[])).
% 48.93/31.54 tff(897,plain,
% 48.93/31.54 (((~node34(c_p0, s5, s6)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_state(c_p0, s6, c_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_invalid))) <=> (m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_state(c_p0, s6, c_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_invalid)) | (~node34(c_p0, s5, s6)))),
% 48.93/31.54 inference(rewrite,[status(thm)],[])).
% 48.93/31.54 tff(898,plain,
% 48.93/31.54 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s5, s6)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_state(c_p0, s6, c_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_state(c_p0, s6, c_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_invalid)) | (~node34(c_p0, s5, s6))))),
% 48.93/31.54 inference(monotonicity,[status(thm)],[897])).
% 48.93/31.54 tff(899,plain,
% 48.93/31.54 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s5, s6)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_state(c_p0, s6, c_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_state(c_p0, s6, c_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_invalid)) | (~node34(c_p0, s5, s6)))),
% 48.93/31.54 inference(transitivity,[status(thm)],[898, 896])).
% 48.93/31.54 tff(900,plain,
% 48.93/31.54 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s5, s6)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_state(c_p0, s6, c_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_invalid)))),
% 48.93/31.54 inference(quant_inst,[status(thm)],[])).
% 48.93/31.54 tff(901,plain,
% 48.93/31.54 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_state(c_p0, s6, c_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_invalid)) | (~node34(c_p0, s5, s6))),
% 48.93/31.54 inference(modus_ponens,[status(thm)],[900, 899])).
% 48.93/31.54 tff(902,plain,
% 48.93/31.54 (m_processor_v_CMD(c_p0, s5, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s5, c_write_h_invalid))),
% 48.93/31.54 inference(unit_resolution,[status(thm)],[901, 512, 812, 888, 811])).
% 48.93/31.54 tff(903,plain,
% 48.93/31.54 (~m_processor_v_CMD(c_p0, s5, c_write_h_invalid)),
% 48.93/31.54 inference(unit_resolution,[status(thm)],[902, 895])).
% 48.93/31.54 tff(904,plain,
% 48.93/31.54 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_state(c_p0, s6, c_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)) | (~node34(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_state(c_p0, s6, c_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)) | (~node34(c_p0, s5, s6)))),
% 48.93/31.54 inference(rewrite,[status(thm)],[])).
% 48.93/31.54 tff(905,plain,
% 48.93/31.54 (((~node34(c_p0, s5, s6)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_state(c_p0, s6, c_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid))) <=> (m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_state(c_p0, s6, c_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)) | (~node34(c_p0, s5, s6)))),
% 48.93/31.54 inference(rewrite,[status(thm)],[])).
% 48.93/31.54 tff(906,plain,
% 48.93/31.54 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s5, s6)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_state(c_p0, s6, c_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_state(c_p0, s6, c_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)) | (~node34(c_p0, s5, s6))))),
% 48.93/31.54 inference(monotonicity,[status(thm)],[905])).
% 48.93/31.54 tff(907,plain,
% 48.93/31.54 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s5, s6)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_state(c_p0, s6, c_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_state(c_p0, s6, c_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)) | (~node34(c_p0, s5, s6)))),
% 48.93/31.54 inference(transitivity,[status(thm)],[906, 904])).
% 48.93/31.54 tff(908,plain,
% 48.93/31.54 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s5, s6)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_state(c_p0, s6, c_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)))),
% 48.94/31.55 inference(quant_inst,[status(thm)],[])).
% 48.94/31.55 tff(909,plain,
% 48.94/31.55 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_state(c_p0, s6, c_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)) | (~node34(c_p0, s5, s6))),
% 48.94/31.55 inference(modus_ponens,[status(thm)],[908, 907])).
% 48.94/31.55 tff(910,plain,
% 48.94/31.55 (m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid))),
% 48.94/31.55 inference(unit_resolution,[status(thm)],[909, 438, 812, 888, 811])).
% 48.94/31.55 tff(911,plain,
% 48.94/31.55 (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)),
% 48.94/31.55 inference(unit_resolution,[status(thm)],[910, 903, 895])).
% 48.94/31.55 tff(912,assumption,(~m_processor_v_CMD(c_p0, s5, c_write_h_invalid)), introduced(assumption)).
% 48.94/31.55 tff(913,assumption,(node34(c_p0, s5, s6)), introduced(assumption)).
% 48.94/31.55 tff(914,plain,
% 48.94/31.55 (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)),
% 48.94/31.55 inference(unit_resolution,[status(thm)],[894, 416, 813, 913])).
% 48.94/31.55 tff(915,assumption,(~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)), introduced(assumption)).
% 48.94/31.55 tff(916,plain,
% 48.94/31.55 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_CMD(c_p0, s5, c_write_h_shared)) | (~node34(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_CMD(c_p0, s5, c_write_h_shared)) | (~node34(c_p0, s5, s6)))),
% 48.94/31.55 inference(rewrite,[status(thm)],[])).
% 48.94/31.55 tff(917,plain,
% 48.94/31.55 (((~node34(c_p0, s5, s6)) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_shared))) <=> (m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_CMD(c_p0, s5, c_write_h_shared)) | (~node34(c_p0, s5, s6)))),
% 48.94/31.55 inference(rewrite,[status(thm)],[])).
% 48.94/31.55 tff(918,plain,
% 48.94/31.55 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s5, s6)) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_CMD(c_p0, s5, c_write_h_shared)) | (~node34(c_p0, s5, s6))))),
% 48.94/31.55 inference(monotonicity,[status(thm)],[917])).
% 48.94/31.55 tff(919,plain,
% 48.94/31.55 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s5, s6)) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_CMD(c_p0, s5, c_write_h_shared)) | (~node34(c_p0, s5, s6)))),
% 48.94/31.55 inference(transitivity,[status(thm)],[918, 916])).
% 48.94/31.55 tff(920,plain,
% 48.94/31.55 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s5, s6)) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_shared)))),
% 48.94/31.55 inference(quant_inst,[status(thm)],[])).
% 48.94/31.55 tff(921,plain,
% 48.94/31.55 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_CMD(c_p0, s5, c_write_h_shared)) | (~node34(c_p0, s5, s6))),
% 48.94/31.55 inference(modus_ponens,[status(thm)],[920, 919])).
% 48.94/31.55 tff(922,plain,
% 48.94/31.55 (m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_shared))),
% 48.94/31.55 inference(unit_resolution,[status(thm)],[921, 456, 813, 913, 915])).
% 48.94/31.55 tff(923,plain,
% 48.94/31.55 (~m_processor_v_CMD(c_p0, s5, c_write_h_shared)),
% 48.94/31.55 inference(unit_resolution,[status(thm)],[922, 811, 914, 912])).
% 48.94/31.55 tff(924,assumption,(~node33(c_p0, s5, s6)), introduced(assumption)).
% 48.94/31.55 tff(925,plain,
% 48.94/31.55 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared) | node33(c_p0, s5, s6) | (~node34(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared) | node33(c_p0, s5, s6) | (~node34(c_p0, s5, s6)))),
% 48.94/31.55 inference(rewrite,[status(thm)],[])).
% 48.94/31.55 tff(926,plain,
% 48.94/31.55 ((node33(c_p0, s5, s6) | (~node34(c_p0, s5, s6)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared) | node33(c_p0, s5, s6) | (~node34(c_p0, s5, s6)))),
% 48.94/31.55 inference(rewrite,[status(thm)],[])).
% 48.94/31.55 tff(927,plain,
% 48.94/31.55 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s5, s6) | (~node34(c_p0, s5, s6)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared) | node33(c_p0, s5, s6) | (~node34(c_p0, s5, s6))))),
% 48.94/31.55 inference(monotonicity,[status(thm)],[926])).
% 48.94/31.55 tff(928,plain,
% 48.94/31.55 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s5, s6) | (~node34(c_p0, s5, s6)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared) | node33(c_p0, s5, s6) | (~node34(c_p0, s5, s6)))),
% 48.94/31.55 inference(transitivity,[status(thm)],[927, 925])).
% 48.94/31.55 tff(929,plain,
% 48.94/31.55 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s5, s6) | (~node34(c_p0, s5, s6)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared))),
% 48.94/31.55 inference(quant_inst,[status(thm)],[])).
% 48.94/31.55 tff(930,plain,
% 48.94/31.55 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared) | node33(c_p0, s5, s6) | (~node34(c_p0, s5, s6))),
% 48.94/31.55 inference(modus_ponens,[status(thm)],[929, 928])).
% 48.94/31.55 tff(931,plain,
% 48.94/31.55 (m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared) | (~node34(c_p0, s5, s6))),
% 48.94/31.55 inference(unit_resolution,[status(thm)],[930, 474, 924])).
% 48.94/31.55 tff(932,plain,
% 48.94/31.55 (m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)),
% 48.94/31.55 inference(unit_resolution,[status(thm)],[931, 923, 913, 914, 912, 915, 811])).
% 48.94/31.55 tff(933,plain,
% 48.94/31.55 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)) | (~node34(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)) | (~node34(c_p0, s5, s6)))),
% 48.94/31.55 inference(rewrite,[status(thm)],[])).
% 48.94/31.55 tff(934,plain,
% 48.94/31.55 (((~node34(c_p0, s5, s6)) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared))) <=> (m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)) | (~node34(c_p0, s5, s6)))),
% 48.94/31.55 inference(rewrite,[status(thm)],[])).
% 48.94/31.55 tff(935,plain,
% 48.94/31.55 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s5, s6)) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)) | (~node34(c_p0, s5, s6))))),
% 48.94/31.55 inference(monotonicity,[status(thm)],[934])).
% 48.94/31.55 tff(936,plain,
% 48.94/31.55 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s5, s6)) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)) | (~node34(c_p0, s5, s6)))),
% 48.94/31.55 inference(transitivity,[status(thm)],[935, 933])).
% 48.94/31.55 tff(937,plain,
% 48.94/31.55 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s5, s6)) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)))),
% 48.94/31.55 inference(quant_inst,[status(thm)],[])).
% 48.94/31.55 tff(938,plain,
% 48.94/31.55 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)) | (~node34(c_p0, s5, s6))),
% 48.94/31.55 inference(modus_ponens,[status(thm)],[937, 936])).
% 48.94/31.55 tff(939,plain,
% 48.94/31.55 (m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared))),
% 48.94/31.55 inference(unit_resolution,[status(thm)],[938, 492, 813, 913, 915])).
% 48.94/31.55 tff(940,plain,
% 48.94/31.55 ($false),
% 48.94/31.55 inference(unit_resolution,[status(thm)],[939, 932, 923, 914, 912, 811])).
% 48.94/31.55 tff(941,plain,(m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_state(c_p0, s6, c_shared) | (~node34(c_p0, s5, s6)) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | node33(c_p0, s5, s6)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.55 tff(942,plain,
% 48.94/31.55 ($false),
% 48.94/31.55 inference(unit_resolution,[status(thm)],[941, 911, 903, 813, 811, 888, 834])).
% 48.94/31.55 tff(943,plain,(m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s6, c_invalid) | m_processor_v_state(c_p0, s5, c_owned) | m_processor_v_abort(c_p0, s5) | m_processor_v_state(c_p0, s5, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.55 tff(944,plain,
% 48.94/31.55 (m_processor_v_abort(c_p0, s5)),
% 48.94/31.55 inference(unit_resolution,[status(thm)],[943, 799, 812, 811, 813, 814])).
% 48.94/31.55 tff(945,plain,
% 48.94/31.55 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s5, s6) | (~m_processor_v_abort(c_p0, s5)) | (~node38(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s5, s6) | (~m_processor_v_abort(c_p0, s5)) | (~node38(c_p0, s5, s6)))),
% 48.94/31.56 inference(rewrite,[status(thm)],[])).
% 48.94/31.56 tff(946,plain,
% 48.94/31.56 ((node32(c_p0, s5, s6) | (~node38(c_p0, s5, s6)) | (~m_processor_v_abort(c_p0, s5))) <=> (node32(c_p0, s5, s6) | (~m_processor_v_abort(c_p0, s5)) | (~node38(c_p0, s5, s6)))),
% 48.94/31.56 inference(rewrite,[status(thm)],[])).
% 48.94/31.56 tff(947,plain,
% 48.94/31.56 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s5, s6) | (~node38(c_p0, s5, s6)) | (~m_processor_v_abort(c_p0, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s5, s6) | (~m_processor_v_abort(c_p0, s5)) | (~node38(c_p0, s5, s6))))),
% 48.94/31.56 inference(monotonicity,[status(thm)],[946])).
% 48.94/31.56 tff(948,plain,
% 48.94/31.56 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s5, s6) | (~node38(c_p0, s5, s6)) | (~m_processor_v_abort(c_p0, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s5, s6) | (~m_processor_v_abort(c_p0, s5)) | (~node38(c_p0, s5, s6)))),
% 48.94/31.56 inference(transitivity,[status(thm)],[947, 945])).
% 48.94/31.56 tff(949,plain,
% 48.94/31.56 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s5, s6) | (~node38(c_p0, s5, s6)) | (~m_processor_v_abort(c_p0, s5)))),
% 48.94/31.56 inference(quant_inst,[status(thm)],[])).
% 48.94/31.56 tff(950,plain,
% 48.94/31.56 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s5, s6) | (~m_processor_v_abort(c_p0, s5)) | (~node38(c_p0, s5, s6))),
% 48.94/31.56 inference(modus_ponens,[status(thm)],[949, 948])).
% 48.94/31.56 tff(951,plain,
% 48.94/31.56 (node32(c_p0, s5, s6) | (~m_processor_v_abort(c_p0, s5))),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[950, 243, 848])).
% 48.94/31.56 tff(952,plain,
% 48.94/31.56 (node32(c_p0, s5, s6)),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[951, 944])).
% 48.94/31.56 tff(953,assumption,(~m_processor_v_state(c_p0, s5, c_shared)), introduced(assumption)).
% 48.94/31.56 tff(954,plain,
% 48.94/31.56 ($false),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[841, 153, 814, 953, 799])).
% 48.94/31.56 tff(955,plain,(m_processor_v_state(c_p0, s5, c_shared) | m_processor_v_state(c_p0, s5, c_invalid) | m_processor_v_state(c_p0, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.56 tff(956,plain,
% 48.94/31.56 (m_processor_v_state(c_p0, s5, c_shared)),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[955, 799, 814])).
% 48.94/31.56 tff(957,plain,
% 48.94/31.56 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s5, c_shared)) | m_processor_v_state(c_p0, s6, c_shared) | (~node32(c_p0, s5, s6)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s5, c_shared)) | m_processor_v_state(c_p0, s6, c_shared) | (~node32(c_p0, s5, s6)))),
% 48.94/31.56 inference(rewrite,[status(thm)],[])).
% 48.94/31.56 tff(958,plain,
% 48.94/31.56 (((~node32(c_p0, s5, s6)) | (~m_processor_v_state(c_p0, s5, c_shared)) | m_processor_v_state(c_p0, s6, c_shared)) <=> ((~m_processor_v_state(c_p0, s5, c_shared)) | m_processor_v_state(c_p0, s6, c_shared) | (~node32(c_p0, s5, s6)))),
% 48.94/31.56 inference(rewrite,[status(thm)],[])).
% 48.94/31.56 tff(959,plain,
% 48.94/31.56 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s5, s6)) | (~m_processor_v_state(c_p0, s5, c_shared)) | m_processor_v_state(c_p0, s6, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s5, c_shared)) | m_processor_v_state(c_p0, s6, c_shared) | (~node32(c_p0, s5, s6))))),
% 48.94/31.56 inference(monotonicity,[status(thm)],[958])).
% 48.94/31.56 tff(960,plain,
% 48.94/31.56 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s5, s6)) | (~m_processor_v_state(c_p0, s5, c_shared)) | m_processor_v_state(c_p0, s6, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s5, c_shared)) | m_processor_v_state(c_p0, s6, c_shared) | (~node32(c_p0, s5, s6)))),
% 48.94/31.56 inference(transitivity,[status(thm)],[959, 957])).
% 48.94/31.56 tff(961,plain,
% 48.94/31.56 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s5, s6)) | (~m_processor_v_state(c_p0, s5, c_shared)) | m_processor_v_state(c_p0, s6, c_shared))),
% 48.94/31.56 inference(quant_inst,[status(thm)],[])).
% 48.94/31.56 tff(962,plain,
% 48.94/31.56 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s5, c_shared)) | m_processor_v_state(c_p0, s6, c_shared) | (~node32(c_p0, s5, s6))),
% 48.94/31.56 inference(modus_ponens,[status(thm)],[961, 960])).
% 48.94/31.56 tff(963,plain,
% 48.94/31.56 ($false),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[962, 380, 956, 813, 952])).
% 48.94/31.56 tff(964,plain,(m_processor_v_state(c_p0, s5, c_owned) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s5, c_invalid) | m_processor_v_state(c_p0, s6, c_invalid) | m_processor_v_CMD(c_p0, s5, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.56 tff(965,plain,
% 48.94/31.56 (m_processor_v_state(c_p0, s5, c_invalid)),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[964, 799, 813, 812, 811])).
% 48.94/31.56 tff(966,plain,
% 48.94/31.56 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s5, c_invalid)) | m_processor_v_state(c_p0, s6, c_invalid) | (~node33(c_p0, s5, s6)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s5, c_invalid)) | m_processor_v_state(c_p0, s6, c_invalid) | (~node33(c_p0, s5, s6)))),
% 48.94/31.56 inference(rewrite,[status(thm)],[])).
% 48.94/31.56 tff(967,plain,
% 48.94/31.56 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s5, c_invalid)) | m_processor_v_state(c_p0, s6, c_invalid) | (~node33(c_p0, s5, s6)))),
% 48.94/31.56 inference(quant_inst,[status(thm)],[])).
% 48.94/31.56 tff(968,plain,
% 48.94/31.56 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s5, c_invalid)) | m_processor_v_state(c_p0, s6, c_invalid) | (~node33(c_p0, s5, s6))),
% 48.94/31.56 inference(modus_ponens,[status(thm)],[967, 966])).
% 48.94/31.56 tff(969,plain,
% 48.94/31.56 (~node33(c_p0, s5, s6)),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[968, 399, 965, 812])).
% 48.94/31.56 tff(970,assumption,(m_processor_v_state(c_p0, s5, c_invalid)), introduced(assumption)).
% 48.94/31.56 tff(971,plain,
% 48.94/31.56 (^[I0: $i, X: $i] : refl(((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared))) <=> ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared))))),
% 48.94/31.56 inference(bind,[status(th)],[])).
% 48.94/31.56 tff(972,plain,
% 48.94/31.56 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))),
% 48.94/31.56 inference(quant_intro,[status(thm)],[971])).
% 48.94/31.56 tff(973,plain,
% 48.94/31.56 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))),
% 48.94/31.56 inference(rewrite,[status(thm)],[])).
% 48.94/31.56 tff(974,axiom,(![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_43')).
% 48.94/31.56 tff(975,plain,
% 48.94/31.56 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))),
% 48.94/31.56 inference(modus_ponens,[status(thm)],[974, 973])).
% 48.94/31.56 tff(976,plain,(
% 48.94/31.56 ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))),
% 48.94/31.56 inference(skolemize,[status(sab)],[975])).
% 48.94/31.56 tff(977,plain,
% 48.94/31.56 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))),
% 48.94/31.56 inference(modus_ponens,[status(thm)],[976, 972])).
% 48.94/31.56 tff(978,plain,
% 48.94/31.56 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p0, s5, c_invalid)) | (~m_processor_v_state(c_p0, s5, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p0, s5, c_invalid)) | (~m_processor_v_state(c_p0, s5, c_shared)))),
% 48.94/31.56 inference(rewrite,[status(thm)],[])).
% 48.94/31.56 tff(979,plain,
% 48.94/31.56 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p0, s5, c_invalid)) | (~m_processor_v_state(c_p0, s5, c_shared)))),
% 48.94/31.56 inference(quant_inst,[status(thm)],[])).
% 48.94/31.56 tff(980,plain,
% 48.94/31.56 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p0, s5, c_invalid)) | (~m_processor_v_state(c_p0, s5, c_shared))),
% 48.94/31.56 inference(modus_ponens,[status(thm)],[979, 978])).
% 48.94/31.56 tff(981,plain,
% 48.94/31.56 (~m_processor_v_state(c_p0, s5, c_shared)),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[980, 977, 970])).
% 48.94/31.56 tff(982,plain,
% 48.94/31.56 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p0, s5, c_shared) | (~node36(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p0, s5, c_shared) | (~node36(c_p0, s5)))),
% 48.94/31.56 inference(rewrite,[status(thm)],[])).
% 48.94/31.56 tff(983,plain,
% 48.94/31.56 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p0, s5, c_shared) | (~node36(c_p0, s5)))),
% 48.94/31.56 inference(quant_inst,[status(thm)],[])).
% 48.94/31.56 tff(984,plain,
% 48.94/31.56 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p0, s5, c_shared) | (~node36(c_p0, s5))),
% 48.94/31.56 inference(modus_ponens,[status(thm)],[983, 982])).
% 48.94/31.56 tff(985,plain,
% 48.94/31.56 (~node36(c_p0, s5)),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[984, 167, 981])).
% 48.94/31.56 tff(986,assumption,(node32(c_p0, s5, s6)), introduced(assumption)).
% 48.94/31.56 tff(987,plain,
% 48.94/31.56 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s5, c_invalid)) | m_processor_v_state(c_p0, s6, c_invalid) | (~node32(c_p0, s5, s6)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s5, c_invalid)) | m_processor_v_state(c_p0, s6, c_invalid) | (~node32(c_p0, s5, s6)))),
% 48.94/31.56 inference(rewrite,[status(thm)],[])).
% 48.94/31.56 tff(988,plain,
% 48.94/31.56 (((~node32(c_p0, s5, s6)) | (~m_processor_v_state(c_p0, s5, c_invalid)) | m_processor_v_state(c_p0, s6, c_invalid)) <=> ((~m_processor_v_state(c_p0, s5, c_invalid)) | m_processor_v_state(c_p0, s6, c_invalid) | (~node32(c_p0, s5, s6)))),
% 48.94/31.56 inference(rewrite,[status(thm)],[])).
% 48.94/31.56 tff(989,plain,
% 48.94/31.56 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s5, s6)) | (~m_processor_v_state(c_p0, s5, c_invalid)) | m_processor_v_state(c_p0, s6, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s5, c_invalid)) | m_processor_v_state(c_p0, s6, c_invalid) | (~node32(c_p0, s5, s6))))),
% 48.94/31.56 inference(monotonicity,[status(thm)],[988])).
% 48.94/31.56 tff(990,plain,
% 48.94/31.56 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s5, s6)) | (~m_processor_v_state(c_p0, s5, c_invalid)) | m_processor_v_state(c_p0, s6, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s5, c_invalid)) | m_processor_v_state(c_p0, s6, c_invalid) | (~node32(c_p0, s5, s6)))),
% 48.94/31.56 inference(transitivity,[status(thm)],[989, 987])).
% 48.94/31.56 tff(991,plain,
% 48.94/31.56 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s5, s6)) | (~m_processor_v_state(c_p0, s5, c_invalid)) | m_processor_v_state(c_p0, s6, c_invalid))),
% 48.94/31.56 inference(quant_inst,[status(thm)],[])).
% 48.94/31.56 tff(992,plain,
% 48.94/31.56 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s5, c_invalid)) | m_processor_v_state(c_p0, s6, c_invalid) | (~node32(c_p0, s5, s6))),
% 48.94/31.56 inference(modus_ponens,[status(thm)],[991, 990])).
% 48.94/31.56 tff(993,plain,
% 48.94/31.56 ($false),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[992, 380, 970, 812, 986])).
% 48.94/31.56 tff(994,plain,((~node32(c_p0, s5, s6)) | (~m_processor_v_state(c_p0, s5, c_invalid)) | m_processor_v_state(c_p0, s6, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.56 tff(995,plain,
% 48.94/31.56 (~node32(c_p0, s5, s6)),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[994, 812, 970])).
% 48.94/31.56 tff(996,plain,
% 48.94/31.56 (~m_processor_v_abort(c_p0, s5)),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[951, 995])).
% 48.94/31.56 tff(997,plain,
% 48.94/31.56 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s5) | m_processor_v_state(c_p0, s5, c_shared) | node36(c_p0, s5) | m_processor_v_abort(c_p0, s5) | node37(c_p0, s5, s6) | (~node38(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s5) | m_processor_v_state(c_p0, s5, c_shared) | node36(c_p0, s5) | m_processor_v_abort(c_p0, s5) | node37(c_p0, s5, s6) | (~node38(c_p0, s5, s6)))),
% 48.94/31.56 inference(rewrite,[status(thm)],[])).
% 48.94/31.56 tff(998,plain,
% 48.94/31.56 ((m_processor_v_state(c_p0, s5, c_shared) | node36(c_p0, s5) | m_processor_v_master(c_p0, s5) | node37(c_p0, s5, s6) | (~node38(c_p0, s5, s6)) | m_processor_v_abort(c_p0, s5)) <=> (m_processor_v_master(c_p0, s5) | m_processor_v_state(c_p0, s5, c_shared) | node36(c_p0, s5) | m_processor_v_abort(c_p0, s5) | node37(c_p0, s5, s6) | (~node38(c_p0, s5, s6)))),
% 48.94/31.56 inference(rewrite,[status(thm)],[])).
% 48.94/31.56 tff(999,plain,
% 48.94/31.56 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s5, c_shared) | node36(c_p0, s5) | m_processor_v_master(c_p0, s5) | node37(c_p0, s5, s6) | (~node38(c_p0, s5, s6)) | m_processor_v_abort(c_p0, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s5) | m_processor_v_state(c_p0, s5, c_shared) | node36(c_p0, s5) | m_processor_v_abort(c_p0, s5) | node37(c_p0, s5, s6) | (~node38(c_p0, s5, s6))))),
% 48.94/31.56 inference(monotonicity,[status(thm)],[998])).
% 48.94/31.56 tff(1000,plain,
% 48.94/31.56 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s5, c_shared) | node36(c_p0, s5) | m_processor_v_master(c_p0, s5) | node37(c_p0, s5, s6) | (~node38(c_p0, s5, s6)) | m_processor_v_abort(c_p0, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s5) | m_processor_v_state(c_p0, s5, c_shared) | node36(c_p0, s5) | m_processor_v_abort(c_p0, s5) | node37(c_p0, s5, s6) | (~node38(c_p0, s5, s6)))),
% 48.94/31.56 inference(transitivity,[status(thm)],[999, 997])).
% 48.94/31.56 tff(1001,plain,
% 48.94/31.56 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s5, c_shared) | node36(c_p0, s5) | m_processor_v_master(c_p0, s5) | node37(c_p0, s5, s6) | (~node38(c_p0, s5, s6)) | m_processor_v_abort(c_p0, s5))),
% 48.94/31.56 inference(quant_inst,[status(thm)],[])).
% 48.94/31.56 tff(1002,plain,
% 48.94/31.56 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s5) | m_processor_v_state(c_p0, s5, c_shared) | node36(c_p0, s5) | m_processor_v_abort(c_p0, s5) | node37(c_p0, s5, s6) | (~node38(c_p0, s5, s6))),
% 48.94/31.56 inference(modus_ponens,[status(thm)],[1001, 1000])).
% 48.94/31.56 tff(1003,plain,
% 48.94/31.56 (m_processor_v_master(c_p0, s5) | m_processor_v_state(c_p0, s5, c_shared) | node36(c_p0, s5) | m_processor_v_abort(c_p0, s5) | node37(c_p0, s5, s6)),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[1002, 225, 848])).
% 48.94/31.56 tff(1004,plain,
% 48.94/31.56 (node37(c_p0, s5, s6)),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[1003, 996, 800, 985, 981])).
% 48.94/31.56 tff(1005,assumption,(node37(c_p0, s5, s6)), introduced(assumption)).
% 48.94/31.56 tff(1006,plain,
% 48.94/31.56 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s5, c_owned) | (~m_processor_v_state(c_p0, s6, c_owned)) | (~node37(c_p0, s5, s6)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s5, c_owned) | (~m_processor_v_state(c_p0, s6, c_owned)) | (~node37(c_p0, s5, s6)))),
% 48.94/31.56 inference(rewrite,[status(thm)],[])).
% 48.94/31.56 tff(1007,plain,
% 48.94/31.56 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s5, c_owned) | (~m_processor_v_state(c_p0, s6, c_owned)) | (~node37(c_p0, s5, s6)))),
% 48.94/31.56 inference(quant_inst,[status(thm)],[])).
% 48.94/31.56 tff(1008,plain,
% 48.94/31.56 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s5, c_owned) | (~m_processor_v_state(c_p0, s6, c_owned)) | (~node37(c_p0, s5, s6))),
% 48.94/31.56 inference(modus_ponens,[status(thm)],[1007, 1006])).
% 48.94/31.56 tff(1009,plain,
% 48.94/31.56 ($false),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[1008, 182, 785, 799, 1005])).
% 48.94/31.56 tff(1010,plain,((~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_state(c_p0, s5, c_owned) | (~node37(c_p0, s5, s6))), inference(lemma,lemma(discharge,[]))).
% 48.94/31.56 tff(1011,plain,
% 48.94/31.56 (~m_processor_v_state(c_p0, s6, c_owned)),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[1010, 1004, 799])).
% 48.94/31.56 tff(1012,plain,
% 48.94/31.56 (m_processor_v_state(c_p0, s6, c_shared)),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[819, 1011, 812])).
% 48.94/31.56 tff(1013,plain,
% 48.94/31.56 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s5, c_shared) | (~m_processor_v_state(c_p0, s6, c_shared)) | (~node37(c_p0, s5, s6)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s5, c_shared) | (~m_processor_v_state(c_p0, s6, c_shared)) | (~node37(c_p0, s5, s6)))),
% 48.94/31.56 inference(rewrite,[status(thm)],[])).
% 48.94/31.56 tff(1014,plain,
% 48.94/31.56 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s5, c_shared) | (~m_processor_v_state(c_p0, s6, c_shared)) | (~node37(c_p0, s5, s6)))),
% 48.94/31.56 inference(quant_inst,[status(thm)],[])).
% 48.94/31.56 tff(1015,plain,
% 48.94/31.56 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s5, c_shared) | (~m_processor_v_state(c_p0, s6, c_shared)) | (~node37(c_p0, s5, s6))),
% 48.94/31.56 inference(modus_ponens,[status(thm)],[1014, 1013])).
% 48.94/31.56 tff(1016,plain,
% 48.94/31.56 ($false),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[1015, 182, 981, 1004, 1012])).
% 48.94/31.56 tff(1017,plain,(m_processor_v_state(c_p0, s6, c_invalid) | m_processor_v_state(c_p0, s5, c_owned) | m_processor_v_master(c_p0, s5) | (~m_processor_v_state(c_p0, s5, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 48.94/31.56 tff(1018,plain,
% 48.94/31.56 (m_processor_v_master(c_p0, s5)),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[1017, 965, 812, 799])).
% 48.94/31.56 tff(1019,plain,
% 48.94/31.56 (~node32(c_p0, s5, s6)),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[994, 965, 812])).
% 48.94/31.56 tff(1020,plain,
% 48.94/31.56 (~m_processor_v_abort(c_p0, s5)),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[951, 1019])).
% 48.94/31.56 tff(1021,plain,
% 48.94/31.56 (node34(c_p0, s5, s6)),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[887, 1020, 1018])).
% 48.94/31.56 tff(1022,plain,
% 48.94/31.56 (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[894, 416, 813, 1021])).
% 48.94/31.56 tff(1023,plain,
% 48.94/31.56 (m_processor_v_CMD(c_p0, s5, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s5, c_write_h_invalid))),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[901, 512, 812, 1021, 811])).
% 48.94/31.56 tff(1024,plain,
% 48.94/31.56 (~m_processor_v_CMD(c_p0, s5, c_write_h_invalid)),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[1023, 1022])).
% 48.94/31.56 tff(1025,assumption,(~m_processor_v_CMD(c_p0, s5, c_read_h_shared)), introduced(assumption)).
% 48.94/31.56 tff(1026,assumption,(m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)), introduced(assumption)).
% 48.94/31.56 tff(1027,plain,
% 48.94/31.56 ($false),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[909, 438, 812, 913, 811, 912, 1026, 1025])).
% 48.94/31.56 tff(1028,plain,((~node34(c_p0, s5, s6)) | m_processor_v_state(c_p0, s6, c_invalid) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.56 tff(1029,plain,
% 48.94/31.56 (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[1028, 1024, 811, 812, 1021, 1022])).
% 48.94/31.56 tff(1030,plain,
% 48.94/31.56 ($false),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[941, 1029, 1024, 813, 811, 1021, 969])).
% 48.94/31.56 tff(1031,plain,(m_processor_v_state(c_p0, s5, c_owned) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_state(c_p0, s6, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.56 tff(1032,plain,
% 48.94/31.56 (m_processor_v_state(c_p0, s6, c_invalid)),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[1031, 810, 811, 799])).
% 48.94/31.56 tff(1033,plain,
% 48.94/31.56 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s6, c_invalid)) | (~m_processor_v_state(c_p0, s6, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s6, c_invalid)) | (~m_processor_v_state(c_p0, s6, c_owned)))),
% 48.94/31.56 inference(rewrite,[status(thm)],[])).
% 48.94/31.56 tff(1034,plain,
% 48.94/31.56 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s6, c_invalid)) | (~m_processor_v_state(c_p0, s6, c_owned)))),
% 48.94/31.56 inference(quant_inst,[status(thm)],[])).
% 48.94/31.56 tff(1035,plain,
% 48.94/31.56 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s6, c_invalid)) | (~m_processor_v_state(c_p0, s6, c_owned))),
% 48.94/31.56 inference(modus_ponens,[status(thm)],[1034, 1033])).
% 48.94/31.56 tff(1036,plain,
% 48.94/31.56 ($false),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[1035, 137, 785, 1032])).
% 48.94/31.56 tff(1037,plain,((~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_state(c_p0, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.56 tff(1038,plain,
% 48.94/31.56 (m_processor_v_CMD(c_p0, s5, c_read_h_owned)),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[1037, 799, 785])).
% 48.94/31.56 tff(1039,assumption,(m_processor_v_CMD(c_p0, s5, c_read_h_owned)), introduced(assumption)).
% 48.94/31.56 tff(1040,assumption,(node35(c_p0, s5)), introduced(assumption)).
% 48.94/31.56 tff(1041,plain,
% 48.94/31.56 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | (~node35(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | (~node35(c_p0, s5)))),
% 48.94/31.56 inference(rewrite,[status(thm)],[])).
% 48.94/31.56 tff(1042,plain,
% 48.94/31.56 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | (~node35(c_p0, s5)))),
% 48.94/31.56 inference(quant_inst,[status(thm)],[])).
% 48.94/31.56 tff(1043,plain,
% 48.94/31.56 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | (~node35(c_p0, s5))),
% 48.94/31.56 inference(modus_ponens,[status(thm)],[1042, 1041])).
% 48.94/31.56 tff(1044,plain,
% 48.94/31.56 ($false),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[1043, 316, 1040, 1039])).
% 48.94/31.56 tff(1045,plain,((~node35(c_p0, s5)) | (~m_processor_v_CMD(c_p0, s5, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 48.94/31.56 tff(1046,plain,
% 48.94/31.56 (~node35(c_p0, s5)),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[1045, 1038])).
% 48.94/31.56 tff(1047,plain,
% 48.94/31.56 (~m_processor_v_state(c_p0, s5, c_invalid)),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[1017, 799, 812, 800])).
% 48.94/31.56 tff(1048,plain,
% 48.94/31.56 (m_processor_v_state(c_p0, s5, c_shared)),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[955, 1047, 799])).
% 48.94/31.56 tff(1049,plain,
% 48.94/31.56 (m_processor_v_abort(c_p0, s5)),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[855, 1048, 812, 800, 1046])).
% 48.94/31.56 tff(1050,assumption,(m_processor_v_state(c_p0, s5, c_shared)), introduced(assumption)).
% 48.94/31.56 tff(1051,plain,
% 48.94/31.56 ($false),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[962, 380, 1050, 813, 986])).
% 48.94/31.56 tff(1052,plain,((~node32(c_p0, s5, s6)) | (~m_processor_v_state(c_p0, s5, c_shared)) | m_processor_v_state(c_p0, s6, c_shared)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.56 tff(1053,plain,
% 48.94/31.56 (~node32(c_p0, s5, s6)),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[1052, 1048, 813])).
% 48.94/31.56 tff(1054,plain,
% 48.94/31.56 ($false),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[951, 1053, 1049])).
% 48.94/31.56 tff(1055,plain,(m_processor_v_state(c_p0, s5, c_owned) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s6, c_invalid) | m_processor_v_master(c_p0, s5) | (~m_processor_v_state(c_p0, s6, c_owned))), inference(lemma,lemma(discharge,[]))).
% 48.94/31.56 tff(1056,plain,
% 48.94/31.56 (m_processor_v_state(c_p0, s6, c_invalid)),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[1055, 810, 800, 799, 785])).
% 48.94/31.56 tff(1057,plain,
% 48.94/31.56 ($false),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[1035, 137, 785, 1056])).
% 48.94/31.56 tff(1058,plain,((~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_master(c_p0, s5) | m_processor_v_state(c_p0, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.56 tff(1059,plain,
% 48.94/31.56 (m_processor_v_state(c_p0, s5, c_owned)),
% 48.94/31.56 inference(unit_resolution,[status(thm)],[1058, 798, 785])).
% 48.94/31.56 tff(1060,assumption,(m_processor_v_state(c_p0, s5, c_owned)), introduced(assumption)).
% 48.94/31.56 tff(1061,plain,
% 48.94/31.56 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s5, c_owned)) | (~m_processor_v_state(c_p0, s5, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~m_processor_v_state(c_p0, s5, c_shared)))),
% 48.94/31.56 inference(rewrite,[status(thm)],[])).
% 48.94/31.56 tff(1062,plain,
% 48.94/31.56 (((~m_processor_v_state(c_p0, s5, c_shared)) | (~m_processor_v_state(c_p0, s5, c_owned))) <=> ((~m_processor_v_state(c_p0, s5, c_owned)) | (~m_processor_v_state(c_p0, s5, c_shared)))),
% 48.94/31.56 inference(rewrite,[status(thm)],[])).
% 48.94/31.56 tff(1063,plain,
% 48.94/31.56 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s5, c_shared)) | (~m_processor_v_state(c_p0, s5, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s5, c_owned)) | (~m_processor_v_state(c_p0, s5, c_shared))))),
% 48.94/31.57 inference(monotonicity,[status(thm)],[1062])).
% 48.94/31.57 tff(1064,plain,
% 48.94/31.57 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s5, c_shared)) | (~m_processor_v_state(c_p0, s5, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~m_processor_v_state(c_p0, s5, c_shared)))),
% 48.94/31.57 inference(transitivity,[status(thm)],[1063, 1061])).
% 48.94/31.57 tff(1065,plain,
% 48.94/31.57 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s5, c_shared)) | (~m_processor_v_state(c_p0, s5, c_owned)))),
% 48.94/31.57 inference(quant_inst,[status(thm)],[])).
% 48.94/31.57 tff(1066,plain,
% 48.94/31.57 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~m_processor_v_state(c_p0, s5, c_shared))),
% 48.94/31.57 inference(modus_ponens,[status(thm)],[1065, 1064])).
% 48.94/31.57 tff(1067,plain,
% 48.94/31.57 ($false),
% 48.94/31.57 inference(unit_resolution,[status(thm)],[1066, 121, 1050, 1060])).
% 48.94/31.57 tff(1068,plain,((~m_processor_v_state(c_p0, s5, c_shared)) | (~m_processor_v_state(c_p0, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 48.94/31.57 tff(1069,plain,
% 48.94/31.57 (~m_processor_v_state(c_p0, s5, c_shared)),
% 48.94/31.57 inference(unit_resolution,[status(thm)],[1068, 1060])).
% 48.94/31.57 tff(1070,plain,
% 48.94/31.57 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s5, c_invalid)) | (~m_processor_v_state(c_p0, s5, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s5, c_invalid)) | (~m_processor_v_state(c_p0, s5, c_owned)))),
% 48.94/31.57 inference(rewrite,[status(thm)],[])).
% 48.94/31.57 tff(1071,plain,
% 48.94/31.57 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s5, c_invalid)) | (~m_processor_v_state(c_p0, s5, c_owned)))),
% 48.94/31.57 inference(quant_inst,[status(thm)],[])).
% 48.94/31.57 tff(1072,plain,
% 48.94/31.57 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s5, c_invalid)) | (~m_processor_v_state(c_p0, s5, c_owned))),
% 48.94/31.57 inference(modus_ponens,[status(thm)],[1071, 1070])).
% 48.94/31.57 tff(1073,plain,
% 48.94/31.57 (~m_processor_v_state(c_p0, s5, c_invalid)),
% 48.94/31.57 inference(unit_resolution,[status(thm)],[1072, 137, 1060])).
% 48.94/31.57 tff(1074,assumption,(node32(c_p0, s4, s5)), introduced(assumption)).
% 48.94/31.57 tff(1075,assumption,(m_processor_v_state(c_p0, s4, c_shared)), introduced(assumption)).
% 48.94/31.57 tff(1076,plain,
% 48.94/31.57 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_state(c_p0, s5, c_shared) | (~node32(c_p0, s4, s5)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_state(c_p0, s5, c_shared) | (~node32(c_p0, s4, s5)))),
% 48.94/31.57 inference(rewrite,[status(thm)],[])).
% 48.94/31.57 tff(1077,plain,
% 48.94/31.57 (((~node32(c_p0, s4, s5)) | (~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_state(c_p0, s5, c_shared)) <=> ((~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_state(c_p0, s5, c_shared) | (~node32(c_p0, s4, s5)))),
% 48.94/31.57 inference(rewrite,[status(thm)],[])).
% 48.94/31.57 tff(1078,plain,
% 48.94/31.57 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s4, s5)) | (~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_state(c_p0, s5, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_state(c_p0, s5, c_shared) | (~node32(c_p0, s4, s5))))),
% 48.94/31.57 inference(monotonicity,[status(thm)],[1077])).
% 48.94/31.57 tff(1079,plain,
% 48.94/31.57 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s4, s5)) | (~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_state(c_p0, s5, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_state(c_p0, s5, c_shared) | (~node32(c_p0, s4, s5)))),
% 48.94/31.57 inference(transitivity,[status(thm)],[1078, 1076])).
% 48.94/31.57 tff(1080,plain,
% 48.94/31.57 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s4, s5)) | (~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_state(c_p0, s5, c_shared))),
% 48.94/31.57 inference(quant_inst,[status(thm)],[])).
% 48.94/31.57 tff(1081,plain,
% 48.94/31.57 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_state(c_p0, s5, c_shared) | (~node32(c_p0, s4, s5))),
% 48.94/31.57 inference(modus_ponens,[status(thm)],[1080, 1079])).
% 48.94/31.57 tff(1082,plain,
% 48.94/31.57 ($false),
% 48.94/31.57 inference(unit_resolution,[status(thm)],[1081, 380, 1075, 953, 1074])).
% 48.94/31.57 tff(1083,plain,((~node32(c_p0, s4, s5)) | (~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_state(c_p0, s5, c_shared)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.57 tff(1084,plain,
% 48.94/31.57 (~m_processor_v_state(c_p0, s4, c_shared)),
% 48.94/31.57 inference(unit_resolution,[status(thm)],[1083, 1074, 953])).
% 48.94/31.57 tff(1085,assumption,(m_processor_v_state(c_p0, s4, c_invalid)), introduced(assumption)).
% 48.94/31.57 tff(1086,plain,
% 48.94/31.57 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s4, c_invalid)) | m_processor_v_state(c_p0, s5, c_invalid) | (~node32(c_p0, s4, s5)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s4, c_invalid)) | m_processor_v_state(c_p0, s5, c_invalid) | (~node32(c_p0, s4, s5)))),
% 48.94/31.57 inference(rewrite,[status(thm)],[])).
% 48.94/31.57 tff(1087,plain,
% 48.94/31.57 (((~node32(c_p0, s4, s5)) | (~m_processor_v_state(c_p0, s4, c_invalid)) | m_processor_v_state(c_p0, s5, c_invalid)) <=> ((~m_processor_v_state(c_p0, s4, c_invalid)) | m_processor_v_state(c_p0, s5, c_invalid) | (~node32(c_p0, s4, s5)))),
% 48.94/31.57 inference(rewrite,[status(thm)],[])).
% 48.94/31.57 tff(1088,plain,
% 48.94/31.57 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s4, s5)) | (~m_processor_v_state(c_p0, s4, c_invalid)) | m_processor_v_state(c_p0, s5, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s4, c_invalid)) | m_processor_v_state(c_p0, s5, c_invalid) | (~node32(c_p0, s4, s5))))),
% 48.94/31.57 inference(monotonicity,[status(thm)],[1087])).
% 48.94/31.57 tff(1089,plain,
% 48.94/31.57 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s4, s5)) | (~m_processor_v_state(c_p0, s4, c_invalid)) | m_processor_v_state(c_p0, s5, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s4, c_invalid)) | m_processor_v_state(c_p0, s5, c_invalid) | (~node32(c_p0, s4, s5)))),
% 48.94/31.57 inference(transitivity,[status(thm)],[1088, 1086])).
% 48.94/31.57 tff(1090,plain,
% 48.94/31.57 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s4, s5)) | (~m_processor_v_state(c_p0, s4, c_invalid)) | m_processor_v_state(c_p0, s5, c_invalid))),
% 48.94/31.57 inference(quant_inst,[status(thm)],[])).
% 48.94/31.57 tff(1091,plain,
% 48.94/31.57 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s4, c_invalid)) | m_processor_v_state(c_p0, s5, c_invalid) | (~node32(c_p0, s4, s5))),
% 48.94/31.57 inference(modus_ponens,[status(thm)],[1090, 1089])).
% 48.94/31.57 tff(1092,plain,
% 48.94/31.57 ($false),
% 48.94/31.57 inference(unit_resolution,[status(thm)],[1091, 380, 1085, 814, 1074])).
% 48.94/31.57 tff(1093,plain,((~node32(c_p0, s4, s5)) | (~m_processor_v_state(c_p0, s4, c_invalid)) | m_processor_v_state(c_p0, s5, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.57 tff(1094,plain,
% 48.94/31.57 (~m_processor_v_state(c_p0, s4, c_invalid)),
% 48.94/31.57 inference(unit_resolution,[status(thm)],[1093, 1074, 814])).
% 48.94/31.57 tff(1095,assumption,(~m_processor_v_state(c_p0, s4, c_invalid)), introduced(assumption)).
% 48.94/31.57 tff(1096,assumption,(~m_processor_v_state(c_p0, s4, c_shared)), introduced(assumption)).
% 48.94/31.57 tff(1097,plain,
% 48.94/31.57 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p0, s4, c_owned) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p0, s4, c_owned) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid))),
% 48.94/31.57 inference(rewrite,[status(thm)],[])).
% 48.94/31.57 tff(1098,plain,
% 48.94/31.57 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p0, s4, c_owned) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid))),
% 48.94/31.57 inference(quant_inst,[status(thm)],[])).
% 48.94/31.57 tff(1099,plain,
% 48.94/31.57 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p0, s4, c_owned) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid)),
% 48.94/31.57 inference(modus_ponens,[status(thm)],[1098, 1097])).
% 48.94/31.57 tff(1100,plain,
% 48.94/31.57 ($false),
% 48.94/31.57 inference(unit_resolution,[status(thm)],[1099, 153, 1096, 1095, 54])).
% 48.94/31.57 tff(1101,plain,(m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_state(c_p0, s4, c_owned)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.57 tff(1102,plain,
% 48.94/31.57 ($false),
% 48.94/31.57 inference(unit_resolution,[status(thm)],[1101, 1094, 1084, 54])).
% 48.94/31.57 tff(1103,plain,((~node32(c_p0, s4, s5)) | m_processor_v_state(c_p0, s4, c_owned) | m_processor_v_state(c_p0, s5, c_invalid) | m_processor_v_state(c_p0, s5, c_shared)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.57 tff(1104,plain,
% 48.94/31.57 (~node32(c_p0, s4, s5)),
% 48.94/31.57 inference(unit_resolution,[status(thm)],[1103, 54, 1073, 1069])).
% 48.94/31.57 tff(1105,assumption,(~node38(c_p0, s4, s5)), introduced(assumption)).
% 48.94/31.57 tff(1106,plain,
% 48.94/31.57 (succ(s4, s5) <=> succ(s4, s5)),
% 48.94/31.57 inference(rewrite,[status(thm)],[])).
% 48.94/31.57 tff(1107,axiom,(succ(s4, s5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound5')).
% 48.94/31.57 tff(1108,plain,
% 48.94/31.57 (succ(s4, s5)),
% 48.94/31.57 inference(modus_ponens,[status(thm)],[1107, 1106])).
% 48.94/31.57 tff(1109,plain,
% 48.94/31.57 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s4, s5)) | trans(s4, s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s4, s5)) | trans(s4, s5))),
% 48.94/31.57 inference(rewrite,[status(thm)],[])).
% 48.94/31.57 tff(1110,plain,
% 48.94/31.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s4, s5)) | trans(s4, s5))),
% 48.94/31.57 inference(quant_inst,[status(thm)],[])).
% 48.94/31.57 tff(1111,plain,
% 48.94/31.57 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s4, s5)) | trans(s4, s5)),
% 48.94/31.57 inference(modus_ponens,[status(thm)],[1110, 1109])).
% 48.94/31.57 tff(1112,plain,
% 48.94/31.57 (trans(s4, s5)),
% 48.94/31.57 inference(unit_resolution,[status(thm)],[1111, 1108, 196])).
% 48.94/31.57 tff(1113,plain,
% 48.94/31.57 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s4, s5)) | node38(c_p0, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s4, s5)) | node38(c_p0, s4, s5))),
% 48.94/31.57 inference(rewrite,[status(thm)],[])).
% 48.94/31.57 tff(1114,plain,
% 48.94/31.57 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s4, s5)) | node38(c_p0, s4, s5))),
% 48.94/31.57 inference(quant_inst,[status(thm)],[])).
% 48.94/31.57 tff(1115,plain,
% 48.94/31.57 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s4, s5)) | node38(c_p0, s4, s5)),
% 48.94/31.57 inference(modus_ponens,[status(thm)],[1114, 1113])).
% 48.94/31.57 tff(1116,plain,
% 48.94/31.57 ($false),
% 48.94/31.57 inference(unit_resolution,[status(thm)],[1115, 210, 1112, 1105])).
% 48.94/31.57 tff(1117,plain,(node38(c_p0, s4, s5)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.57 tff(1118,plain,
% 48.94/31.57 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s4, s5) | (~m_processor_v_abort(c_p0, s4)) | (~node38(c_p0, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s4, s5) | (~m_processor_v_abort(c_p0, s4)) | (~node38(c_p0, s4, s5)))),
% 48.94/31.57 inference(rewrite,[status(thm)],[])).
% 48.94/31.57 tff(1119,plain,
% 48.94/31.57 ((node32(c_p0, s4, s5) | (~node38(c_p0, s4, s5)) | (~m_processor_v_abort(c_p0, s4))) <=> (node32(c_p0, s4, s5) | (~m_processor_v_abort(c_p0, s4)) | (~node38(c_p0, s4, s5)))),
% 48.94/31.57 inference(rewrite,[status(thm)],[])).
% 48.94/31.57 tff(1120,plain,
% 48.94/31.57 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s4, s5) | (~node38(c_p0, s4, s5)) | (~m_processor_v_abort(c_p0, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s4, s5) | (~m_processor_v_abort(c_p0, s4)) | (~node38(c_p0, s4, s5))))),
% 48.94/31.57 inference(monotonicity,[status(thm)],[1119])).
% 48.94/31.57 tff(1121,plain,
% 48.94/31.57 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s4, s5) | (~node38(c_p0, s4, s5)) | (~m_processor_v_abort(c_p0, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s4, s5) | (~m_processor_v_abort(c_p0, s4)) | (~node38(c_p0, s4, s5)))),
% 48.94/31.57 inference(transitivity,[status(thm)],[1120, 1118])).
% 48.94/31.57 tff(1122,plain,
% 48.94/31.57 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s4, s5) | (~node38(c_p0, s4, s5)) | (~m_processor_v_abort(c_p0, s4)))),
% 48.94/31.57 inference(quant_inst,[status(thm)],[])).
% 48.94/31.57 tff(1123,plain,
% 48.94/31.57 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s4, s5) | (~m_processor_v_abort(c_p0, s4)) | (~node38(c_p0, s4, s5))),
% 48.94/31.57 inference(modus_ponens,[status(thm)],[1122, 1121])).
% 48.94/31.57 tff(1124,plain,
% 48.94/31.57 (node32(c_p0, s4, s5) | (~m_processor_v_abort(c_p0, s4))),
% 48.94/31.57 inference(unit_resolution,[status(thm)],[1123, 243, 1117])).
% 48.94/31.57 tff(1125,plain,
% 48.94/31.57 (~m_processor_v_abort(c_p0, s4)),
% 48.94/31.57 inference(unit_resolution,[status(thm)],[1124, 1104])).
% 48.94/31.57 tff(1126,assumption,(~m_processor_v_master(c_p0, s4)), introduced(assumption)).
% 48.94/31.57 tff(1127,plain,
% 48.94/31.57 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p0, s4, c_shared) | (~node36(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p0, s4, c_shared) | (~node36(c_p0, s4)))),
% 48.94/31.57 inference(rewrite,[status(thm)],[])).
% 48.94/31.57 tff(1128,plain,
% 48.94/31.57 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p0, s4, c_shared) | (~node36(c_p0, s4)))),
% 48.94/31.57 inference(quant_inst,[status(thm)],[])).
% 48.94/31.57 tff(1129,plain,
% 48.94/31.57 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p0, s4, c_shared) | (~node36(c_p0, s4))),
% 48.94/31.57 inference(modus_ponens,[status(thm)],[1128, 1127])).
% 48.94/31.57 tff(1130,plain,
% 48.94/31.57 (~node36(c_p0, s4)),
% 48.94/31.57 inference(unit_resolution,[status(thm)],[1129, 167, 1096])).
% 48.94/31.57 tff(1131,plain,
% 48.94/31.57 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s4, c_owned) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~node37(c_p0, s4, s5)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s4, c_owned) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~node37(c_p0, s4, s5)))),
% 48.94/31.57 inference(rewrite,[status(thm)],[])).
% 48.94/31.57 tff(1132,plain,
% 48.94/31.57 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s4, c_owned) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~node37(c_p0, s4, s5)))),
% 48.94/31.57 inference(quant_inst,[status(thm)],[])).
% 48.94/31.57 tff(1133,plain,
% 48.94/31.57 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s4, c_owned) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~node37(c_p0, s4, s5))),
% 48.94/31.57 inference(modus_ponens,[status(thm)],[1132, 1131])).
% 48.94/31.57 tff(1134,plain,
% 48.94/31.57 (~node37(c_p0, s4, s5)),
% 48.94/31.57 inference(unit_resolution,[status(thm)],[1133, 182, 54, 1060])).
% 48.94/31.57 tff(1135,plain,
% 48.94/31.57 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s4) | m_processor_v_state(c_p0, s4, c_shared) | node36(c_p0, s4) | m_processor_v_abort(c_p0, s4) | node37(c_p0, s4, s5) | (~node38(c_p0, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s4) | m_processor_v_state(c_p0, s4, c_shared) | node36(c_p0, s4) | m_processor_v_abort(c_p0, s4) | node37(c_p0, s4, s5) | (~node38(c_p0, s4, s5)))),
% 48.94/31.57 inference(rewrite,[status(thm)],[])).
% 48.94/31.57 tff(1136,plain,
% 48.94/31.57 ((m_processor_v_state(c_p0, s4, c_shared) | node36(c_p0, s4) | m_processor_v_master(c_p0, s4) | node37(c_p0, s4, s5) | (~node38(c_p0, s4, s5)) | m_processor_v_abort(c_p0, s4)) <=> (m_processor_v_master(c_p0, s4) | m_processor_v_state(c_p0, s4, c_shared) | node36(c_p0, s4) | m_processor_v_abort(c_p0, s4) | node37(c_p0, s4, s5) | (~node38(c_p0, s4, s5)))),
% 48.94/31.57 inference(rewrite,[status(thm)],[])).
% 48.94/31.57 tff(1137,plain,
% 48.94/31.57 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s4, c_shared) | node36(c_p0, s4) | m_processor_v_master(c_p0, s4) | node37(c_p0, s4, s5) | (~node38(c_p0, s4, s5)) | m_processor_v_abort(c_p0, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s4) | m_processor_v_state(c_p0, s4, c_shared) | node36(c_p0, s4) | m_processor_v_abort(c_p0, s4) | node37(c_p0, s4, s5) | (~node38(c_p0, s4, s5))))),
% 48.94/31.57 inference(monotonicity,[status(thm)],[1136])).
% 48.94/31.57 tff(1138,plain,
% 48.94/31.57 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s4, c_shared) | node36(c_p0, s4) | m_processor_v_master(c_p0, s4) | node37(c_p0, s4, s5) | (~node38(c_p0, s4, s5)) | m_processor_v_abort(c_p0, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s4) | m_processor_v_state(c_p0, s4, c_shared) | node36(c_p0, s4) | m_processor_v_abort(c_p0, s4) | node37(c_p0, s4, s5) | (~node38(c_p0, s4, s5)))),
% 48.94/31.57 inference(transitivity,[status(thm)],[1137, 1135])).
% 48.94/31.57 tff(1139,plain,
% 48.94/31.57 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s4, c_shared) | node36(c_p0, s4) | m_processor_v_master(c_p0, s4) | node37(c_p0, s4, s5) | (~node38(c_p0, s4, s5)) | m_processor_v_abort(c_p0, s4))),
% 48.94/31.57 inference(quant_inst,[status(thm)],[])).
% 48.94/31.57 tff(1140,plain,
% 48.94/31.57 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s4) | m_processor_v_state(c_p0, s4, c_shared) | node36(c_p0, s4) | m_processor_v_abort(c_p0, s4) | node37(c_p0, s4, s5) | (~node38(c_p0, s4, s5))),
% 48.94/31.57 inference(modus_ponens,[status(thm)],[1139, 1138])).
% 48.94/31.57 tff(1141,plain,
% 48.94/31.57 (m_processor_v_master(c_p0, s4) | m_processor_v_state(c_p0, s4, c_shared) | node36(c_p0, s4) | m_processor_v_abort(c_p0, s4) | node37(c_p0, s4, s5)),
% 48.94/31.57 inference(unit_resolution,[status(thm)],[1140, 225, 1117])).
% 48.94/31.57 tff(1142,plain,
% 48.94/31.57 (m_processor_v_abort(c_p0, s4)),
% 48.94/31.57 inference(unit_resolution,[status(thm)],[1141, 1134, 1126, 1096, 1130])).
% 48.94/31.57 tff(1143,plain,
% 48.94/31.57 (node32(c_p0, s4, s5)),
% 48.94/31.57 inference(unit_resolution,[status(thm)],[1124, 1142])).
% 48.94/31.57 tff(1144,plain,
% 48.94/31.57 (m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid)),
% 48.94/31.57 inference(unit_resolution,[status(thm)],[1099, 153, 54])).
% 48.94/31.57 tff(1145,plain,
% 48.94/31.57 (m_processor_v_state(c_p0, s4, c_invalid)),
% 48.94/31.57 inference(unit_resolution,[status(thm)],[1144, 1096])).
% 48.94/31.57 tff(1146,plain,
% 48.94/31.57 ($false),
% 48.94/31.57 inference(unit_resolution,[status(thm)],[1091, 380, 1145, 1073, 1143])).
% 48.94/31.57 tff(1147,plain,((~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_master(c_p0, s4) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_owned)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.57 tff(1148,plain,
% 48.94/31.57 (m_processor_v_state(c_p0, s4, c_shared)),
% 48.94/31.57 inference(unit_resolution,[status(thm)],[1147, 1060, 54, 1126])).
% 48.94/31.57 tff(1149,plain,
% 48.94/31.57 (~node32(c_p0, s4, s5)),
% 48.94/31.57 inference(unit_resolution,[status(thm)],[1083, 1075, 953])).
% 48.94/31.57 tff(1150,plain,
% 48.94/31.57 (~m_processor_v_abort(c_p0, s4)),
% 48.94/31.57 inference(unit_resolution,[status(thm)],[1124, 1149])).
% 48.94/31.57 tff(1151,assumption,(~m_processor_v_abort(c_p0, s4)), introduced(assumption)).
% 48.94/31.57 tff(1152,plain,
% 48.94/31.57 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s4) | (~m_processor_v_state(c_p0, s4, c_shared)) | node36(c_p0, s4) | m_processor_v_abort(c_p0, s4) | m_processor_v_state(c_p0, s5, c_invalid) | m_processor_v_state(c_p0, s5, c_shared) | (~node38(c_p0, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s4) | (~m_processor_v_state(c_p0, s4, c_shared)) | node36(c_p0, s4) | m_processor_v_abort(c_p0, s4) | m_processor_v_state(c_p0, s5, c_invalid) | m_processor_v_state(c_p0, s5, c_shared) | (~node38(c_p0, s4, s5)))),
% 48.94/31.57 inference(rewrite,[status(thm)],[])).
% 48.94/31.57 tff(1153,plain,
% 48.94/31.57 (((~m_processor_v_state(c_p0, s4, c_shared)) | node36(c_p0, s4) | m_processor_v_state(c_p0, s5, c_shared) | m_processor_v_master(c_p0, s4) | m_processor_v_state(c_p0, s5, c_invalid) | (~node38(c_p0, s4, s5)) | m_processor_v_abort(c_p0, s4)) <=> (m_processor_v_master(c_p0, s4) | (~m_processor_v_state(c_p0, s4, c_shared)) | node36(c_p0, s4) | m_processor_v_abort(c_p0, s4) | m_processor_v_state(c_p0, s5, c_invalid) | m_processor_v_state(c_p0, s5, c_shared) | (~node38(c_p0, s4, s5)))),
% 48.94/31.57 inference(rewrite,[status(thm)],[])).
% 48.94/31.58 tff(1154,plain,
% 48.94/31.58 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s4, c_shared)) | node36(c_p0, s4) | m_processor_v_state(c_p0, s5, c_shared) | m_processor_v_master(c_p0, s4) | m_processor_v_state(c_p0, s5, c_invalid) | (~node38(c_p0, s4, s5)) | m_processor_v_abort(c_p0, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s4) | (~m_processor_v_state(c_p0, s4, c_shared)) | node36(c_p0, s4) | m_processor_v_abort(c_p0, s4) | m_processor_v_state(c_p0, s5, c_invalid) | m_processor_v_state(c_p0, s5, c_shared) | (~node38(c_p0, s4, s5))))),
% 48.94/31.58 inference(monotonicity,[status(thm)],[1153])).
% 48.94/31.58 tff(1155,plain,
% 48.94/31.58 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s4, c_shared)) | node36(c_p0, s4) | m_processor_v_state(c_p0, s5, c_shared) | m_processor_v_master(c_p0, s4) | m_processor_v_state(c_p0, s5, c_invalid) | (~node38(c_p0, s4, s5)) | m_processor_v_abort(c_p0, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s4) | (~m_processor_v_state(c_p0, s4, c_shared)) | node36(c_p0, s4) | m_processor_v_abort(c_p0, s4) | m_processor_v_state(c_p0, s5, c_invalid) | m_processor_v_state(c_p0, s5, c_shared) | (~node38(c_p0, s4, s5)))),
% 48.94/31.58 inference(transitivity,[status(thm)],[1154, 1152])).
% 48.94/31.58 tff(1156,plain,
% 48.94/31.58 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s4, c_shared)) | node36(c_p0, s4) | m_processor_v_state(c_p0, s5, c_shared) | m_processor_v_master(c_p0, s4) | m_processor_v_state(c_p0, s5, c_invalid) | (~node38(c_p0, s4, s5)) | m_processor_v_abort(c_p0, s4))),
% 48.94/31.58 inference(quant_inst,[status(thm)],[])).
% 48.94/31.58 tff(1157,plain,
% 48.94/31.58 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s4) | (~m_processor_v_state(c_p0, s4, c_shared)) | node36(c_p0, s4) | m_processor_v_abort(c_p0, s4) | m_processor_v_state(c_p0, s5, c_invalid) | m_processor_v_state(c_p0, s5, c_shared) | (~node38(c_p0, s4, s5))),
% 48.94/31.58 inference(modus_ponens,[status(thm)],[1156, 1155])).
% 48.94/31.58 tff(1158,plain,
% 48.94/31.58 (m_processor_v_master(c_p0, s4) | (~m_processor_v_state(c_p0, s4, c_shared)) | node36(c_p0, s4) | m_processor_v_abort(c_p0, s4) | m_processor_v_state(c_p0, s5, c_invalid) | m_processor_v_state(c_p0, s5, c_shared)),
% 48.94/31.58 inference(unit_resolution,[status(thm)],[1157, 341, 1117])).
% 48.94/31.58 tff(1159,plain,
% 48.94/31.58 (node36(c_p0, s4)),
% 48.94/31.58 inference(unit_resolution,[status(thm)],[1158, 1126, 953, 1075, 814, 1151])).
% 48.94/31.58 tff(1160,assumption,(~m_processor_v_CMD(c_p0, s4, c_read_h_owned)), introduced(assumption)).
% 48.94/31.58 tff(1161,plain,
% 48.94/31.58 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s4, c_read_h_owned) | (~node36(c_p0, s4)) | m_processor_v_CMD(c_p0, s4, c_invalidate))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | (~node36(c_p0, s4)) | m_processor_v_CMD(c_p0, s4, c_invalidate))),
% 48.94/31.58 inference(rewrite,[status(thm)],[])).
% 48.94/31.58 tff(1162,plain,
% 48.94/31.58 ((m_processor_v_CMD(c_p0, s4, c_invalidate) | (~node36(c_p0, s4)) | m_processor_v_CMD(c_p0, s4, c_read_h_owned)) <=> (m_processor_v_CMD(c_p0, s4, c_read_h_owned) | (~node36(c_p0, s4)) | m_processor_v_CMD(c_p0, s4, c_invalidate))),
% 48.94/31.58 inference(rewrite,[status(thm)],[])).
% 48.94/31.58 tff(1163,plain,
% 48.94/31.58 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s4, c_invalidate) | (~node36(c_p0, s4)) | m_processor_v_CMD(c_p0, s4, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s4, c_read_h_owned) | (~node36(c_p0, s4)) | m_processor_v_CMD(c_p0, s4, c_invalidate)))),
% 48.94/31.58 inference(monotonicity,[status(thm)],[1162])).
% 48.94/31.58 tff(1164,plain,
% 48.94/31.58 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s4, c_invalidate) | (~node36(c_p0, s4)) | m_processor_v_CMD(c_p0, s4, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | (~node36(c_p0, s4)) | m_processor_v_CMD(c_p0, s4, c_invalidate))),
% 48.94/31.58 inference(transitivity,[status(thm)],[1163, 1161])).
% 48.94/31.58 tff(1165,plain,
% 48.94/31.58 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s4, c_invalidate) | (~node36(c_p0, s4)) | m_processor_v_CMD(c_p0, s4, c_read_h_owned))),
% 48.94/31.58 inference(quant_inst,[status(thm)],[])).
% 48.94/31.58 tff(1166,plain,
% 48.94/31.58 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | (~node36(c_p0, s4)) | m_processor_v_CMD(c_p0, s4, c_invalidate)),
% 48.94/31.58 inference(modus_ponens,[status(thm)],[1165, 1164])).
% 48.94/31.58 tff(1167,plain,
% 48.94/31.58 ((~node36(c_p0, s4)) | m_processor_v_CMD(c_p0, s4, c_invalidate)),
% 48.94/31.58 inference(unit_resolution,[status(thm)],[1166, 359, 1160])).
% 48.94/31.58 tff(1168,plain,
% 48.94/31.58 (m_processor_v_CMD(c_p0, s4, c_invalidate)),
% 48.94/31.58 inference(unit_resolution,[status(thm)],[1167, 1159])).
% 48.94/31.58 tff(1169,plain,
% 48.94/31.58 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p0, s4) | m_processor_v_master(c_p0, s4) | (~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_abort(c_p0, s4) | m_processor_v_state(c_p0, s5, c_invalid) | (~node38(c_p0, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p0, s4) | m_processor_v_master(c_p0, s4) | (~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_abort(c_p0, s4) | m_processor_v_state(c_p0, s5, c_invalid) | (~node38(c_p0, s4, s5)))),
% 48.94/31.58 inference(rewrite,[status(thm)],[])).
% 48.94/31.58 tff(1170,plain,
% 48.94/31.58 (((~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_master(c_p0, s4) | node35(c_p0, s4) | m_processor_v_state(c_p0, s5, c_invalid) | (~node38(c_p0, s4, s5)) | m_processor_v_abort(c_p0, s4)) <=> (node35(c_p0, s4) | m_processor_v_master(c_p0, s4) | (~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_abort(c_p0, s4) | m_processor_v_state(c_p0, s5, c_invalid) | (~node38(c_p0, s4, s5)))),
% 48.94/31.58 inference(rewrite,[status(thm)],[])).
% 48.94/31.58 tff(1171,plain,
% 48.94/31.58 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_master(c_p0, s4) | node35(c_p0, s4) | m_processor_v_state(c_p0, s5, c_invalid) | (~node38(c_p0, s4, s5)) | m_processor_v_abort(c_p0, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p0, s4) | m_processor_v_master(c_p0, s4) | (~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_abort(c_p0, s4) | m_processor_v_state(c_p0, s5, c_invalid) | (~node38(c_p0, s4, s5))))),
% 48.94/31.58 inference(monotonicity,[status(thm)],[1170])).
% 48.94/31.58 tff(1172,plain,
% 48.94/31.58 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_master(c_p0, s4) | node35(c_p0, s4) | m_processor_v_state(c_p0, s5, c_invalid) | (~node38(c_p0, s4, s5)) | m_processor_v_abort(c_p0, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p0, s4) | m_processor_v_master(c_p0, s4) | (~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_abort(c_p0, s4) | m_processor_v_state(c_p0, s5, c_invalid) | (~node38(c_p0, s4, s5)))),
% 48.94/31.58 inference(transitivity,[status(thm)],[1171, 1169])).
% 48.94/31.58 tff(1173,plain,
% 48.94/31.58 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_master(c_p0, s4) | node35(c_p0, s4) | m_processor_v_state(c_p0, s5, c_invalid) | (~node38(c_p0, s4, s5)) | m_processor_v_abort(c_p0, s4))),
% 48.94/31.58 inference(quant_inst,[status(thm)],[])).
% 48.94/31.58 tff(1174,plain,
% 48.94/31.58 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p0, s4) | m_processor_v_master(c_p0, s4) | (~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_abort(c_p0, s4) | m_processor_v_state(c_p0, s5, c_invalid) | (~node38(c_p0, s4, s5))),
% 48.94/31.58 inference(modus_ponens,[status(thm)],[1173, 1172])).
% 48.94/31.58 tff(1175,plain,
% 48.94/31.58 (node35(c_p0, s4) | m_processor_v_master(c_p0, s4) | (~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_abort(c_p0, s4) | m_processor_v_state(c_p0, s5, c_invalid)),
% 48.94/31.58 inference(unit_resolution,[status(thm)],[1174, 301, 1117])).
% 48.94/31.58 tff(1176,plain,
% 48.94/31.58 (node35(c_p0, s4)),
% 48.94/31.58 inference(unit_resolution,[status(thm)],[1175, 1126, 1151, 814, 1075])).
% 48.94/31.58 tff(1177,plain,
% 48.94/31.58 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s4, c_invalidate)) | (~node35(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s4, c_invalidate)) | (~node35(c_p0, s4)))),
% 48.94/31.58 inference(rewrite,[status(thm)],[])).
% 48.94/31.58 tff(1178,plain,
% 48.94/31.58 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s4, c_invalidate)) | (~node35(c_p0, s4)))),
% 48.94/31.58 inference(quant_inst,[status(thm)],[])).
% 48.94/31.58 tff(1179,plain,
% 48.94/31.58 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s4, c_invalidate)) | (~node35(c_p0, s4))),
% 48.94/31.58 inference(modus_ponens,[status(thm)],[1178, 1177])).
% 48.94/31.58 tff(1180,plain,
% 48.94/31.58 ($false),
% 48.94/31.58 inference(unit_resolution,[status(thm)],[1179, 327, 1176, 1168])).
% 48.94/31.58 tff(1181,plain,(m_processor_v_master(c_p0, s4) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_state(c_p0, s5, c_shared) | (~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_state(c_p0, s5, c_invalid) | m_processor_v_abort(c_p0, s4)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.58 tff(1182,plain,
% 48.94/31.58 (m_processor_v_CMD(c_p0, s4, c_read_h_owned)),
% 48.94/31.58 inference(unit_resolution,[status(thm)],[1181, 1150, 814, 953, 1075, 1126])).
% 48.94/31.58 tff(1183,plain,
% 48.94/31.58 (node35(c_p0, s4)),
% 48.94/31.58 inference(unit_resolution,[status(thm)],[1175, 1150, 814, 1126, 1075])).
% 48.94/31.58 tff(1184,plain,
% 48.94/31.58 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s4, c_read_h_owned)) | (~node35(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)) | (~node35(c_p0, s4)))),
% 48.94/31.58 inference(rewrite,[status(thm)],[])).
% 48.94/31.58 tff(1185,plain,
% 48.94/31.58 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s4, c_read_h_owned)) | (~node35(c_p0, s4)))),
% 48.94/31.58 inference(quant_inst,[status(thm)],[])).
% 48.94/31.58 tff(1186,plain,
% 48.94/31.58 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)) | (~node35(c_p0, s4))),
% 48.94/31.58 inference(modus_ponens,[status(thm)],[1185, 1184])).
% 48.94/31.58 tff(1187,plain,
% 48.94/31.58 ($false),
% 48.94/31.58 inference(unit_resolution,[status(thm)],[1186, 316, 1183, 1182])).
% 48.94/31.58 tff(1188,plain,((~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_state(c_p0, s5, c_invalid) | m_processor_v_state(c_p0, s5, c_shared) | m_processor_v_master(c_p0, s4)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.58 tff(1189,plain,
% 48.94/31.58 (m_processor_v_state(c_p0, s5, c_invalid)),
% 48.94/31.58 inference(unit_resolution,[status(thm)],[1188, 1148, 1126, 1069])).
% 48.94/31.58 tff(1190,plain,
% 48.94/31.58 ($false),
% 48.94/31.58 inference(unit_resolution,[status(thm)],[1072, 137, 1189, 1060])).
% 48.94/31.58 tff(1191,plain,((~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_master(c_p0, s4) | m_processor_v_state(c_p0, s4, c_owned)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.58 tff(1192,plain,
% 48.94/31.58 (m_processor_v_master(c_p0, s4)),
% 48.94/31.58 inference(unit_resolution,[status(thm)],[1191, 54, 1060])).
% 48.94/31.58 tff(1193,assumption,(~m_processor_v_waiting(c_p0, s5)), introduced(assumption)).
% 48.94/31.58 tff(1194,plain,
% 48.94/31.58 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s4, s5)) | node53(c_p0, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s4, s5)) | node53(c_p0, s4, s5))),
% 48.94/31.58 inference(rewrite,[status(thm)],[])).
% 48.94/31.58 tff(1195,plain,
% 48.94/31.58 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s4, s5)) | node53(c_p0, s4, s5))),
% 48.94/31.58 inference(quant_inst,[status(thm)],[])).
% 48.94/31.58 tff(1196,plain,
% 48.94/31.58 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s4, s5)) | node53(c_p0, s4, s5)),
% 48.94/31.58 inference(modus_ponens,[status(thm)],[1195, 1194])).
% 48.94/31.58 tff(1197,plain,
% 48.94/31.58 (node53(c_p0, s4, s5)),
% 48.94/31.58 inference(unit_resolution,[status(thm)],[1196, 575, 1112])).
% 48.94/31.58 tff(1198,plain,
% 48.94/31.58 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | m_processor_v_waiting(c_p0, s5) | (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)) | (~node53(c_p0, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | m_processor_v_waiting(c_p0, s5) | (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)) | (~node53(c_p0, s4, s5)))),
% 48.94/31.58 inference(rewrite,[status(thm)],[])).
% 48.94/31.58 tff(1199,plain,
% 48.94/31.58 ((m_processor_v_waiting(c_p0, s5) | (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | (~node53(c_p0, s4, s5))) <=> ((~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | m_processor_v_waiting(c_p0, s5) | (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)) | (~node53(c_p0, s4, s5)))),
% 48.94/31.58 inference(rewrite,[status(thm)],[])).
% 48.94/31.58 tff(1200,plain,
% 48.94/31.58 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s5) | (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | (~node53(c_p0, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | m_processor_v_waiting(c_p0, s5) | (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)) | (~node53(c_p0, s4, s5))))),
% 48.94/31.58 inference(monotonicity,[status(thm)],[1199])).
% 48.94/31.58 tff(1201,plain,
% 48.94/31.58 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s5) | (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | (~node53(c_p0, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | m_processor_v_waiting(c_p0, s5) | (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)) | (~node53(c_p0, s4, s5)))),
% 48.94/31.58 inference(transitivity,[status(thm)],[1200, 1198])).
% 48.94/31.58 tff(1202,plain,
% 48.94/31.58 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s5) | (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | (~node53(c_p0, s4, s5)))),
% 48.94/31.58 inference(quant_inst,[status(thm)],[])).
% 48.94/31.58 tff(1203,plain,
% 48.94/31.58 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | m_processor_v_waiting(c_p0, s5) | (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)) | (~node53(c_p0, s4, s5))),
% 48.94/31.58 inference(modus_ponens,[status(thm)],[1202, 1201])).
% 48.94/31.58 tff(1204,plain,
% 48.94/31.58 ((~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | m_processor_v_waiting(c_p0, s5) | (~m_processor_v_CMD(c_p0, s4, c_read_h_shared))),
% 48.94/31.58 inference(unit_resolution,[status(thm)],[1203, 589, 1197])).
% 48.94/31.58 tff(1205,plain,
% 48.94/31.58 (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)),
% 48.94/31.58 inference(unit_resolution,[status(thm)],[1204, 1125, 1193, 1192])).
% 48.94/31.58 tff(1206,assumption,(~m_processor_v_CMD(c_p0, s4, c_read_h_shared)), introduced(assumption)).
% 48.94/31.58 tff(1207,assumption,(m_main_v_CMD(s4, c_read_h_shared)), introduced(assumption)).
% 48.94/31.58 tff(1208,assumption,(~node2(s4)), introduced(assumption)).
% 48.94/31.58 tff(1209,plain,
% 48.94/31.58 (^[X: $i] : refl(node2(X) <=> node2(X))),
% 48.94/31.58 inference(bind,[status(th)],[])).
% 48.94/31.58 tff(1210,plain,
% 48.94/31.58 (![X: $i] : node2(X) <=> ![X: $i] : node2(X)),
% 48.94/31.58 inference(quant_intro,[status(thm)],[1209])).
% 48.94/31.58 tff(1211,plain,
% 48.94/31.58 (![X: $i] : node2(X) <=> ![X: $i] : node2(X)),
% 48.94/31.58 inference(rewrite,[status(thm)],[])).
% 48.94/31.58 tff(1212,axiom,(![X: $i] : node2(X)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_49')).
% 48.94/31.58 tff(1213,plain,
% 48.94/31.58 (![X: $i] : node2(X)),
% 48.94/31.58 inference(modus_ponens,[status(thm)],[1212, 1211])).
% 48.94/31.58 tff(1214,plain,(
% 48.94/31.58 ![X: $i] : node2(X)),
% 48.94/31.58 inference(skolemize,[status(sab)],[1213])).
% 48.94/31.58 tff(1215,plain,
% 48.94/31.58 (![X: $i] : node2(X)),
% 48.94/31.58 inference(modus_ponens,[status(thm)],[1214, 1210])).
% 48.94/31.58 tff(1216,plain,
% 48.94/31.58 ((~![X: $i] : node2(X)) | node2(s4)),
% 48.94/31.58 inference(quant_inst,[status(thm)],[])).
% 48.94/31.58 tff(1217,plain,
% 48.94/31.58 ($false),
% 48.94/31.58 inference(unit_resolution,[status(thm)],[1216, 1215, 1208])).
% 48.94/31.58 tff(1218,plain,(node2(s4)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.58 tff(1219,plain,
% 48.94/31.58 (^[V: $i, X: $i] : refl(((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V)) <=> ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V)))),
% 48.94/31.58 inference(bind,[status(th)],[])).
% 48.94/31.58 tff(1220,plain,
% 48.94/31.58 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V)) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))),
% 48.94/31.58 inference(quant_intro,[status(thm)],[1219])).
% 48.94/31.58 tff(1221,plain,
% 48.94/31.58 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V)) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))),
% 48.94/31.58 inference(rewrite,[status(thm)],[])).
% 48.94/31.58 tff(1222,plain,
% 48.94/31.58 (^[V: $i, X: $i] : trans(monotonicity(rewrite((m_processor_v_CMD(c_p0, X, V) | (~m_main_v_CMD(X, V))) <=> ((~m_main_v_CMD(X, V)) | m_processor_v_CMD(c_p0, X, V))), (((m_processor_v_CMD(c_p0, X, V) | (~m_main_v_CMD(X, V))) | (~node2(X))) <=> (((~m_main_v_CMD(X, V)) | m_processor_v_CMD(c_p0, X, V)) | (~node2(X))))), rewrite((((~m_main_v_CMD(X, V)) | m_processor_v_CMD(c_p0, X, V)) | (~node2(X))) <=> ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))), (((m_processor_v_CMD(c_p0, X, V) | (~m_main_v_CMD(X, V))) | (~node2(X))) <=> ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))))),
% 48.94/31.58 inference(bind,[status(th)],[])).
% 48.94/31.58 tff(1223,plain,
% 48.94/31.58 (![V: $i, X: $i] : ((m_processor_v_CMD(c_p0, X, V) | (~m_main_v_CMD(X, V))) | (~node2(X))) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))),
% 48.94/31.58 inference(quant_intro,[status(thm)],[1222])).
% 48.94/31.58 tff(1224,axiom,(![V: $i, X: $i] : ((m_processor_v_CMD(c_p0, X, V) | (~m_main_v_CMD(X, V))) | (~node2(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_47')).
% 48.94/31.58 tff(1225,plain,
% 48.94/31.58 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))),
% 48.94/31.58 inference(modus_ponens,[status(thm)],[1224, 1223])).
% 48.94/31.58 tff(1226,plain,
% 48.94/31.58 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))),
% 48.94/31.58 inference(modus_ponens,[status(thm)],[1225, 1221])).
% 48.94/31.58 tff(1227,plain,(
% 48.94/31.58 ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))),
% 48.94/31.58 inference(skolemize,[status(sab)],[1226])).
% 48.94/31.58 tff(1228,plain,
% 48.94/31.58 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))),
% 48.94/31.58 inference(modus_ponens,[status(thm)],[1227, 1220])).
% 48.94/31.58 tff(1229,plain,
% 48.94/31.58 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | (~m_main_v_CMD(s4, c_read_h_shared)) | (~node2(s4)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | (~m_main_v_CMD(s4, c_read_h_shared)) | (~node2(s4)))),
% 48.94/31.58 inference(rewrite,[status(thm)],[])).
% 48.94/31.58 tff(1230,plain,
% 48.94/31.58 (((~m_main_v_CMD(s4, c_read_h_shared)) | (~node2(s4)) | m_processor_v_CMD(c_p0, s4, c_read_h_shared)) <=> (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | (~m_main_v_CMD(s4, c_read_h_shared)) | (~node2(s4)))),
% 48.94/31.58 inference(rewrite,[status(thm)],[])).
% 48.94/31.58 tff(1231,plain,
% 48.94/31.58 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s4, c_read_h_shared)) | (~node2(s4)) | m_processor_v_CMD(c_p0, s4, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | (~m_main_v_CMD(s4, c_read_h_shared)) | (~node2(s4))))),
% 48.94/31.58 inference(monotonicity,[status(thm)],[1230])).
% 48.94/31.58 tff(1232,plain,
% 48.94/31.58 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s4, c_read_h_shared)) | (~node2(s4)) | m_processor_v_CMD(c_p0, s4, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | (~m_main_v_CMD(s4, c_read_h_shared)) | (~node2(s4)))),
% 48.94/31.58 inference(transitivity,[status(thm)],[1231, 1229])).
% 48.94/31.58 tff(1233,plain,
% 48.94/31.58 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s4, c_read_h_shared)) | (~node2(s4)) | m_processor_v_CMD(c_p0, s4, c_read_h_shared))),
% 48.94/31.58 inference(quant_inst,[status(thm)],[])).
% 48.94/31.58 tff(1234,plain,
% 48.94/31.58 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | (~m_main_v_CMD(s4, c_read_h_shared)) | (~node2(s4))),
% 48.94/31.58 inference(modus_ponens,[status(thm)],[1233, 1232])).
% 48.94/31.58 tff(1235,plain,
% 48.94/31.58 ($false),
% 48.94/31.58 inference(unit_resolution,[status(thm)],[1234, 1228, 1218, 1207, 1206])).
% 48.94/31.58 tff(1236,plain,(m_processor_v_CMD(c_p0, s4, c_read_h_shared) | (~m_main_v_CMD(s4, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 48.94/31.58 tff(1237,plain,
% 48.94/31.58 (~m_main_v_CMD(s4, c_read_h_shared)),
% 48.94/31.58 inference(unit_resolution,[status(thm)],[1236, 1205])).
% 48.94/31.58 tff(1238,assumption,(m_processor_v_CMD(c_p1, s4, c_read_h_shared)), introduced(assumption)).
% 48.94/31.58 tff(1239,assumption,(~m_main_v_CMD(s4, c_read_h_shared)), introduced(assumption)).
% 48.94/31.58 tff(1240,assumption,(~node3(s4)), introduced(assumption)).
% 48.94/31.58 tff(1241,plain,
% 48.94/31.58 (^[X: $i] : refl(node3(X) <=> node3(X))),
% 48.94/31.58 inference(bind,[status(th)],[])).
% 48.94/31.58 tff(1242,plain,
% 48.94/31.58 (![X: $i] : node3(X) <=> ![X: $i] : node3(X)),
% 48.94/31.58 inference(quant_intro,[status(thm)],[1241])).
% 48.94/31.58 tff(1243,plain,
% 48.94/31.58 (![X: $i] : node3(X) <=> ![X: $i] : node3(X)),
% 48.94/31.58 inference(rewrite,[status(thm)],[])).
% 48.94/31.58 tff(1244,axiom,(![X: $i] : node3(X)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_58')).
% 48.94/31.58 tff(1245,plain,
% 48.94/31.58 (![X: $i] : node3(X)),
% 48.94/31.58 inference(modus_ponens,[status(thm)],[1244, 1243])).
% 48.94/31.58 tff(1246,plain,(
% 48.94/31.58 ![X: $i] : node3(X)),
% 48.94/31.58 inference(skolemize,[status(sab)],[1245])).
% 48.94/31.58 tff(1247,plain,
% 48.94/31.58 (![X: $i] : node3(X)),
% 48.94/31.58 inference(modus_ponens,[status(thm)],[1246, 1242])).
% 48.94/31.58 tff(1248,plain,
% 48.94/31.58 ((~![X: $i] : node3(X)) | node3(s4)),
% 48.94/31.58 inference(quant_inst,[status(thm)],[])).
% 48.94/31.58 tff(1249,plain,
% 48.94/31.58 ($false),
% 48.94/31.58 inference(unit_resolution,[status(thm)],[1248, 1247, 1240])).
% 48.94/31.58 tff(1250,plain,(node3(s4)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.58 tff(1251,plain,
% 48.94/31.58 (^[V: $i, X: $i] : refl((m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V))) <=> (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V))))),
% 48.94/31.58 inference(bind,[status(th)],[])).
% 48.94/31.58 tff(1252,plain,
% 48.94/31.58 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))),
% 48.94/31.58 inference(quant_intro,[status(thm)],[1251])).
% 48.94/31.58 tff(1253,plain,
% 48.94/31.58 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))),
% 48.94/31.58 inference(rewrite,[status(thm)],[])).
% 48.94/31.58 tff(1254,plain,
% 48.94/31.58 (^[V: $i, X: $i] : rewrite((((~m_processor_v_CMD(c_p1, X, V)) | m_main_v_CMD(X, V)) | (~node3(X))) <=> (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V))))),
% 48.94/31.58 inference(bind,[status(th)],[])).
% 48.94/31.58 tff(1255,plain,
% 48.94/31.58 (![V: $i, X: $i] : (((~m_processor_v_CMD(c_p1, X, V)) | m_main_v_CMD(X, V)) | (~node3(X))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))),
% 48.94/31.58 inference(quant_intro,[status(thm)],[1254])).
% 48.94/31.58 tff(1256,axiom,(![V: $i, X: $i] : (((~m_processor_v_CMD(c_p1, X, V)) | m_main_v_CMD(X, V)) | (~node3(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_57')).
% 48.94/31.58 tff(1257,plain,
% 48.94/31.58 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))),
% 48.94/31.58 inference(modus_ponens,[status(thm)],[1256, 1255])).
% 48.94/31.58 tff(1258,plain,
% 48.94/31.58 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))),
% 48.94/31.58 inference(modus_ponens,[status(thm)],[1257, 1253])).
% 48.94/31.58 tff(1259,plain,(
% 48.94/31.58 ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))),
% 48.94/31.58 inference(skolemize,[status(sab)],[1258])).
% 48.94/31.58 tff(1260,plain,
% 48.94/31.58 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))),
% 48.94/31.58 inference(modus_ponens,[status(thm)],[1259, 1252])).
% 48.94/31.58 tff(1261,plain,
% 48.94/31.58 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s4, c_read_h_shared) | (~node3(s4)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s4, c_read_h_shared) | (~node3(s4)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)))),
% 48.94/31.58 inference(rewrite,[status(thm)],[])).
% 48.94/31.58 tff(1262,plain,
% 48.94/31.58 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s4, c_read_h_shared) | (~node3(s4)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)))),
% 48.94/31.58 inference(quant_inst,[status(thm)],[])).
% 48.94/31.58 tff(1263,plain,
% 48.94/31.58 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s4, c_read_h_shared) | (~node3(s4)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared))),
% 48.94/31.58 inference(modus_ponens,[status(thm)],[1262, 1261])).
% 48.94/31.58 tff(1264,plain,
% 48.94/31.58 ($false),
% 48.94/31.58 inference(unit_resolution,[status(thm)],[1263, 1260, 1250, 1239, 1238])).
% 48.94/31.58 tff(1265,plain,((~m_processor_v_CMD(c_p1, s4, c_read_h_shared)) | m_main_v_CMD(s4, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.58 tff(1266,plain,
% 48.94/31.58 (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)),
% 48.94/31.58 inference(unit_resolution,[status(thm)],[1265, 1237])).
% 48.94/31.58 tff(1267,assumption,(node17(s4)), introduced(assumption)).
% 48.94/31.58 tff(1268,assumption,(m_processor_v_master(c_p0, s4)), introduced(assumption)).
% 48.94/31.58 tff(1269,plain,
% 48.94/31.58 (^[X: $i] : refl(((~m_processor_v_master(c_p0, X)) | (~node17(X))) <=> ((~m_processor_v_master(c_p0, X)) | (~node17(X))))),
% 48.94/31.58 inference(bind,[status(th)],[])).
% 48.94/31.58 tff(1270,plain,
% 48.94/31.58 (![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X))) <=> ![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))),
% 48.94/31.58 inference(quant_intro,[status(thm)],[1269])).
% 48.94/31.58 tff(1271,plain,
% 48.94/31.58 (![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X))) <=> ![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))),
% 48.94/31.58 inference(rewrite,[status(thm)],[])).
% 48.94/31.58 tff(1272,axiom,(![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_122')).
% 48.94/31.58 tff(1273,plain,
% 48.94/31.58 (![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))),
% 48.94/31.58 inference(modus_ponens,[status(thm)],[1272, 1271])).
% 48.94/31.58 tff(1274,plain,(
% 48.94/31.58 ![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))),
% 48.94/31.58 inference(skolemize,[status(sab)],[1273])).
% 48.94/31.58 tff(1275,plain,
% 48.94/31.58 (![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))),
% 48.94/31.58 inference(modus_ponens,[status(thm)],[1274, 1270])).
% 48.94/31.58 tff(1276,plain,
% 48.94/31.58 (((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p0, s4)) | (~node17(s4)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | (~m_processor_v_master(c_p0, s4)) | (~node17(s4)))),
% 48.94/31.58 inference(rewrite,[status(thm)],[])).
% 48.94/31.58 tff(1277,plain,
% 48.94/31.58 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p0, s4)) | (~node17(s4)))),
% 48.94/31.58 inference(quant_inst,[status(thm)],[])).
% 48.94/31.58 tff(1278,plain,
% 48.94/31.58 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | (~m_processor_v_master(c_p0, s4)) | (~node17(s4))),
% 48.94/31.58 inference(modus_ponens,[status(thm)],[1277, 1276])).
% 48.94/31.58 tff(1279,plain,
% 48.94/31.58 ($false),
% 48.94/31.58 inference(unit_resolution,[status(thm)],[1278, 1275, 1268, 1267])).
% 48.94/31.58 tff(1280,plain,((~node17(s4)) | (~m_processor_v_master(c_p0, s4))), inference(lemma,lemma(discharge,[]))).
% 48.94/31.58 tff(1281,plain,
% 48.94/31.58 (~node17(s4)),
% 48.94/31.58 inference(unit_resolution,[status(thm)],[1280, 1192])).
% 48.94/31.58 tff(1282,assumption,(~node17(s4)), introduced(assumption)).
% 48.94/31.58 tff(1283,assumption,(m_memory_v_master(c_m, s4)), introduced(assumption)).
% 48.94/31.58 tff(1284,plain,
% 48.94/31.58 (^[X: $i] : refl((node17(X) | (~m_memory_v_master(c_m, X))) <=> (node17(X) | (~m_memory_v_master(c_m, X))))),
% 48.94/31.59 inference(bind,[status(th)],[])).
% 48.94/31.59 tff(1285,plain,
% 48.94/31.59 (![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X))) <=> ![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))),
% 48.94/31.59 inference(quant_intro,[status(thm)],[1284])).
% 48.94/31.59 tff(1286,plain,
% 48.94/31.59 (![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X))) <=> ![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))),
% 48.94/31.59 inference(rewrite,[status(thm)],[])).
% 48.94/31.59 tff(1287,axiom,(![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_125')).
% 48.94/31.59 tff(1288,plain,
% 48.94/31.59 (![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1287, 1286])).
% 48.94/31.59 tff(1289,plain,(
% 48.94/31.59 ![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))),
% 48.94/31.59 inference(skolemize,[status(sab)],[1288])).
% 48.94/31.59 tff(1290,plain,
% 48.94/31.59 (![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1289, 1285])).
% 48.94/31.59 tff(1291,plain,
% 48.94/31.59 (((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | (node17(s4) | (~m_memory_v_master(c_m, s4)))) <=> ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | node17(s4) | (~m_memory_v_master(c_m, s4)))),
% 48.94/31.59 inference(rewrite,[status(thm)],[])).
% 48.94/31.59 tff(1292,plain,
% 48.94/31.59 ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | (node17(s4) | (~m_memory_v_master(c_m, s4)))),
% 48.94/31.59 inference(quant_inst,[status(thm)],[])).
% 48.94/31.59 tff(1293,plain,
% 48.94/31.59 ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | node17(s4) | (~m_memory_v_master(c_m, s4))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1292, 1291])).
% 48.94/31.59 tff(1294,plain,
% 48.94/31.59 ($false),
% 48.94/31.59 inference(unit_resolution,[status(thm)],[1293, 1290, 1283, 1282])).
% 48.94/31.59 tff(1295,plain,(node17(s4) | (~m_memory_v_master(c_m, s4))), inference(lemma,lemma(discharge,[]))).
% 48.94/31.59 tff(1296,plain,
% 48.94/31.59 (~m_memory_v_master(c_m, s4)),
% 48.94/31.59 inference(unit_resolution,[status(thm)],[1295, 1281])).
% 48.94/31.59 tff(1297,assumption,(~m_memory_v_master(c_m, s4)), introduced(assumption)).
% 48.94/31.59 tff(1298,assumption,(node29(c_m, s4)), introduced(assumption)).
% 48.94/31.59 tff(1299,plain,
% 48.94/31.59 (^[I0: $i, X: $i] : refl((m_memory_v_master(I0, X) | (~node29(I0, X))) <=> (m_memory_v_master(I0, X) | (~node29(I0, X))))),
% 48.94/31.59 inference(bind,[status(th)],[])).
% 48.94/31.59 tff(1300,plain,
% 48.94/31.59 (![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))),
% 48.94/31.59 inference(quant_intro,[status(thm)],[1299])).
% 48.94/31.59 tff(1301,plain,
% 48.94/31.59 (![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))),
% 48.94/31.59 inference(rewrite,[status(thm)],[])).
% 48.94/31.59 tff(1302,axiom,(![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_69')).
% 48.94/31.59 tff(1303,plain,
% 48.94/31.59 (![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1302, 1301])).
% 48.94/31.59 tff(1304,plain,(
% 48.94/31.59 ![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))),
% 48.94/31.59 inference(skolemize,[status(sab)],[1303])).
% 48.94/31.59 tff(1305,plain,
% 48.94/31.59 (![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1304, 1300])).
% 48.94/31.59 tff(1306,plain,
% 48.94/31.59 (((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | (m_memory_v_master(c_m, s4) | (~node29(c_m, s4)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | m_memory_v_master(c_m, s4) | (~node29(c_m, s4)))),
% 48.94/31.59 inference(rewrite,[status(thm)],[])).
% 48.94/31.59 tff(1307,plain,
% 48.94/31.59 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | (m_memory_v_master(c_m, s4) | (~node29(c_m, s4)))),
% 48.94/31.59 inference(quant_inst,[status(thm)],[])).
% 48.94/31.59 tff(1308,plain,
% 48.94/31.59 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | m_memory_v_master(c_m, s4) | (~node29(c_m, s4))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1307, 1306])).
% 48.94/31.59 tff(1309,plain,
% 48.94/31.59 ($false),
% 48.94/31.59 inference(unit_resolution,[status(thm)],[1308, 1305, 1298, 1297])).
% 48.94/31.59 tff(1310,plain,(m_memory_v_master(c_m, s4) | (~node29(c_m, s4))), inference(lemma,lemma(discharge,[]))).
% 48.94/31.59 tff(1311,plain,
% 48.94/31.59 (~node29(c_m, s4)),
% 48.94/31.59 inference(unit_resolution,[status(thm)],[1310, 1296])).
% 48.94/31.59 tff(1312,assumption,(~node29(c_m, s4)), introduced(assumption)).
% 48.94/31.59 tff(1313,assumption,(~m_memory_v_cmd(c_m, s4, c_idle)), introduced(assumption)).
% 48.94/31.59 tff(1314,plain,
% 48.94/31.59 (^[I0: $i, X: $i] : refl((node29(I0, X) | m_memory_v_cmd(I0, X, c_idle)) <=> (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle)))),
% 48.94/31.59 inference(bind,[status(th)],[])).
% 48.94/31.59 tff(1315,plain,
% 48.94/31.59 (![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle)) <=> ![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))),
% 48.94/31.59 inference(quant_intro,[status(thm)],[1314])).
% 48.94/31.59 tff(1316,plain,
% 48.94/31.59 (![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle)) <=> ![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))),
% 48.94/31.59 inference(rewrite,[status(thm)],[])).
% 48.94/31.59 tff(1317,axiom,(![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_72')).
% 48.94/31.59 tff(1318,plain,
% 48.94/31.59 (![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1317, 1316])).
% 48.94/31.59 tff(1319,plain,(
% 48.94/31.59 ![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))),
% 48.94/31.59 inference(skolemize,[status(sab)],[1318])).
% 48.94/31.59 tff(1320,plain,
% 48.94/31.59 (![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1319, 1315])).
% 48.94/31.59 tff(1321,plain,
% 48.94/31.59 (((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | (node29(c_m, s4) | m_memory_v_cmd(c_m, s4, c_idle))) <=> ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | node29(c_m, s4) | m_memory_v_cmd(c_m, s4, c_idle))),
% 48.94/31.59 inference(rewrite,[status(thm)],[])).
% 48.94/31.59 tff(1322,plain,
% 48.94/31.59 ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | (node29(c_m, s4) | m_memory_v_cmd(c_m, s4, c_idle))),
% 48.94/31.59 inference(quant_inst,[status(thm)],[])).
% 48.94/31.59 tff(1323,plain,
% 48.94/31.59 ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | node29(c_m, s4) | m_memory_v_cmd(c_m, s4, c_idle)),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1322, 1321])).
% 48.94/31.59 tff(1324,plain,
% 48.94/31.59 ($false),
% 48.94/31.59 inference(unit_resolution,[status(thm)],[1323, 1320, 1313, 1312])).
% 48.94/31.59 tff(1325,plain,(m_memory_v_cmd(c_m, s4, c_idle) | node29(c_m, s4)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.59 tff(1326,plain,
% 48.94/31.59 (m_memory_v_cmd(c_m, s4, c_idle)),
% 48.94/31.59 inference(unit_resolution,[status(thm)],[1325, 1311])).
% 48.94/31.59 tff(1327,plain,
% 48.94/31.59 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s4, s5) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | (~node38(c_p0, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node34(c_p0, s4, s5) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | (~node38(c_p0, s4, s5)))),
% 48.94/31.59 inference(rewrite,[status(thm)],[])).
% 48.94/31.59 tff(1328,plain,
% 48.94/31.59 ((node34(c_p0, s4, s5) | (~m_processor_v_master(c_p0, s4)) | (~node38(c_p0, s4, s5)) | m_processor_v_abort(c_p0, s4)) <=> (node34(c_p0, s4, s5) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | (~node38(c_p0, s4, s5)))),
% 48.94/31.59 inference(rewrite,[status(thm)],[])).
% 48.94/31.59 tff(1329,plain,
% 48.94/31.59 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s4, s5) | (~m_processor_v_master(c_p0, s4)) | (~node38(c_p0, s4, s5)) | m_processor_v_abort(c_p0, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s4, s5) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | (~node38(c_p0, s4, s5))))),
% 48.94/31.59 inference(monotonicity,[status(thm)],[1328])).
% 48.94/31.59 tff(1330,plain,
% 48.94/31.59 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s4, s5) | (~m_processor_v_master(c_p0, s4)) | (~node38(c_p0, s4, s5)) | m_processor_v_abort(c_p0, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node34(c_p0, s4, s5) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | (~node38(c_p0, s4, s5)))),
% 48.94/31.59 inference(transitivity,[status(thm)],[1329, 1327])).
% 48.94/31.59 tff(1331,plain,
% 48.94/31.59 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s4, s5) | (~m_processor_v_master(c_p0, s4)) | (~node38(c_p0, s4, s5)) | m_processor_v_abort(c_p0, s4))),
% 48.94/31.59 inference(quant_inst,[status(thm)],[])).
% 48.94/31.59 tff(1332,plain,
% 48.94/31.59 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node34(c_p0, s4, s5) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | (~node38(c_p0, s4, s5))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1331, 1330])).
% 48.94/31.59 tff(1333,plain,
% 48.94/31.59 (node34(c_p0, s4, s5) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4)),
% 48.94/31.59 inference(unit_resolution,[status(thm)],[1332, 283, 1117])).
% 48.94/31.59 tff(1334,plain,
% 48.94/31.59 (node34(c_p0, s4, s5)),
% 48.94/31.59 inference(unit_resolution,[status(thm)],[1333, 1125, 1192])).
% 48.94/31.59 tff(1335,plain,
% 48.94/31.59 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | (~node47(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | (~node47(c_p0, s4)))),
% 48.94/31.59 inference(rewrite,[status(thm)],[])).
% 48.94/31.59 tff(1336,plain,
% 48.94/31.59 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | (~node47(c_p0, s4)))),
% 48.94/31.59 inference(quant_inst,[status(thm)],[])).
% 48.94/31.59 tff(1337,plain,
% 48.94/31.59 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | (~node47(c_p0, s4))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1336, 1335])).
% 48.94/31.59 tff(1338,plain,
% 48.94/31.59 (~node47(c_p0, s4)),
% 48.94/31.59 inference(unit_resolution,[status(thm)],[1337, 657, 1205])).
% 48.94/31.59 tff(1339,plain,
% 48.94/31.59 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | m_processor_v_waiting(c_p0, s5) | node47(c_p0, s4) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)) | (~node53(c_p0, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | m_processor_v_waiting(c_p0, s5) | node47(c_p0, s4) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)) | (~node53(c_p0, s4, s5)))),
% 48.94/31.59 inference(rewrite,[status(thm)],[])).
% 48.94/31.59 tff(1340,plain,
% 48.94/31.59 ((m_processor_v_waiting(c_p0, s5) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | node47(c_p0, s4) | (~node53(c_p0, s4, s5))) <=> ((~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | m_processor_v_waiting(c_p0, s5) | node47(c_p0, s4) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)) | (~node53(c_p0, s4, s5)))),
% 48.94/31.59 inference(rewrite,[status(thm)],[])).
% 48.94/31.59 tff(1341,plain,
% 48.94/31.59 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s5) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | node47(c_p0, s4) | (~node53(c_p0, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | m_processor_v_waiting(c_p0, s5) | node47(c_p0, s4) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)) | (~node53(c_p0, s4, s5))))),
% 48.94/31.59 inference(monotonicity,[status(thm)],[1340])).
% 48.94/31.59 tff(1342,plain,
% 48.94/31.59 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s5) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | node47(c_p0, s4) | (~node53(c_p0, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | m_processor_v_waiting(c_p0, s5) | node47(c_p0, s4) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)) | (~node53(c_p0, s4, s5)))),
% 48.94/31.59 inference(transitivity,[status(thm)],[1341, 1339])).
% 48.94/31.59 tff(1343,plain,
% 48.94/31.59 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s5) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | node47(c_p0, s4) | (~node53(c_p0, s4, s5)))),
% 48.94/31.59 inference(quant_inst,[status(thm)],[])).
% 48.94/31.59 tff(1344,plain,
% 48.94/31.59 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | m_processor_v_waiting(c_p0, s5) | node47(c_p0, s4) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)) | (~node53(c_p0, s4, s5))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1343, 1342])).
% 48.94/31.59 tff(1345,plain,
% 48.94/31.59 ((~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | m_processor_v_waiting(c_p0, s5) | node47(c_p0, s4) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned))),
% 48.94/31.59 inference(unit_resolution,[status(thm)],[1344, 640, 1197])).
% 48.94/31.59 tff(1346,plain,
% 48.94/31.59 (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)),
% 48.94/31.59 inference(unit_resolution,[status(thm)],[1345, 1338, 1193, 1192, 1125])).
% 48.94/31.59 tff(1347,assumption,(~node61(c_p1, s4)), introduced(assumption)).
% 48.94/31.59 tff(1348,assumption,(~node60(c_p0, s4)), introduced(assumption)).
% 48.94/31.59 tff(1349,plain,
% 48.94/31.59 (((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p0, s4) | node60(c_p0, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p0, s4) | node60(c_p0, s4))),
% 48.94/31.59 inference(rewrite,[status(thm)],[])).
% 48.94/31.59 tff(1350,plain,
% 48.94/31.59 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p0, s4) | node60(c_p0, s4))),
% 48.94/31.59 inference(quant_inst,[status(thm)],[])).
% 48.94/31.59 tff(1351,plain,
% 48.94/31.59 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p0, s4) | node60(c_p0, s4)),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1350, 1349])).
% 48.94/31.59 tff(1352,plain,
% 48.94/31.59 ($false),
% 48.94/31.59 inference(unit_resolution,[status(thm)],[1351, 693, 1151, 1348])).
% 48.94/31.59 tff(1353,plain,(m_processor_v_abort(c_p0, s4) | node60(c_p0, s4)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.59 tff(1354,plain,
% 48.94/31.59 (node60(c_p0, s4)),
% 48.94/31.59 inference(unit_resolution,[status(thm)],[1353, 1125])).
% 48.94/31.59 tff(1355,assumption,(node60(c_p0, s4)), introduced(assumption)).
% 48.94/31.59 tff(1356,assumption,(m_processor_v_REPLY_h_STALL(c_p0, s4)), introduced(assumption)).
% 48.94/31.59 tff(1357,plain,
% 48.94/31.59 (^[I0: $i, X: $i] : refl(((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X))) <=> ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X))))),
% 48.94/31.59 inference(bind,[status(th)],[])).
% 48.94/31.59 tff(1358,plain,
% 48.94/31.59 (![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))),
% 48.94/31.59 inference(quant_intro,[status(thm)],[1357])).
% 48.94/31.59 tff(1359,plain,
% 48.94/31.59 (![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))),
% 48.94/31.59 inference(rewrite,[status(thm)],[])).
% 48.94/31.59 tff(1360,axiom,(![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_136')).
% 48.94/31.59 tff(1361,plain,
% 48.94/31.59 (![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1360, 1359])).
% 48.94/31.59 tff(1362,plain,(
% 48.94/31.59 ![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))),
% 48.94/31.59 inference(skolemize,[status(sab)],[1361])).
% 48.94/31.59 tff(1363,plain,
% 48.94/31.59 (![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1362, 1358])).
% 48.94/31.59 tff(1364,plain,
% 48.94/31.59 (((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p0, s4)) | (~node60(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p0, s4)) | (~node60(c_p0, s4)))),
% 48.94/31.59 inference(rewrite,[status(thm)],[])).
% 48.94/31.59 tff(1365,plain,
% 48.94/31.59 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p0, s4)) | (~node60(c_p0, s4)))),
% 48.94/31.59 inference(quant_inst,[status(thm)],[])).
% 48.94/31.59 tff(1366,plain,
% 48.94/31.59 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p0, s4)) | (~node60(c_p0, s4))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1365, 1364])).
% 48.94/31.59 tff(1367,plain,
% 48.94/31.59 ($false),
% 48.94/31.59 inference(unit_resolution,[status(thm)],[1366, 1363, 1356, 1355])).
% 48.94/31.59 tff(1368,plain,((~node60(c_p0, s4)) | (~m_processor_v_REPLY_h_STALL(c_p0, s4))), inference(lemma,lemma(discharge,[]))).
% 48.94/31.59 tff(1369,plain,
% 48.94/31.59 (~m_processor_v_REPLY_h_STALL(c_p0, s4)),
% 48.94/31.59 inference(unit_resolution,[status(thm)],[1368, 1354])).
% 48.94/31.59 tff(1370,assumption,(m_main_v_REPLY_h_STALL(s4)), introduced(assumption)).
% 48.94/31.59 tff(1371,assumption,(~m_processor_v_REPLY_h_STALL(c_p0, s4)), introduced(assumption)).
% 48.94/31.59 tff(1372,plain,
% 48.94/31.59 (^[X: $i] : refl(((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X)) <=> ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X)))),
% 48.94/31.59 inference(bind,[status(th)],[])).
% 48.94/31.59 tff(1373,plain,
% 48.94/31.59 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))),
% 48.94/31.59 inference(quant_intro,[status(thm)],[1372])).
% 48.94/31.59 tff(1374,plain,
% 48.94/31.59 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))),
% 48.94/31.59 inference(rewrite,[status(thm)],[])).
% 48.94/31.59 tff(1375,plain,
% 48.94/31.59 (^[X: $i] : rewrite((m_processor_v_REPLY_h_STALL(c_p0, X) | (~m_main_v_REPLY_h_STALL(X))) <=> ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X)))),
% 48.94/31.59 inference(bind,[status(th)],[])).
% 48.94/31.59 tff(1376,plain,
% 48.94/31.59 (![X: $i] : (m_processor_v_REPLY_h_STALL(c_p0, X) | (~m_main_v_REPLY_h_STALL(X))) <=> ![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))),
% 48.94/31.59 inference(quant_intro,[status(thm)],[1375])).
% 48.94/31.59 tff(1377,axiom,(![X: $i] : (m_processor_v_REPLY_h_STALL(c_p0, X) | (~m_main_v_REPLY_h_STALL(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_54')).
% 48.94/31.59 tff(1378,plain,
% 48.94/31.59 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1377, 1376])).
% 48.94/31.59 tff(1379,plain,
% 48.94/31.59 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1378, 1374])).
% 48.94/31.59 tff(1380,plain,(
% 48.94/31.59 ![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))),
% 48.94/31.59 inference(skolemize,[status(sab)],[1379])).
% 48.94/31.59 tff(1381,plain,
% 48.94/31.59 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1380, 1373])).
% 48.94/31.59 tff(1382,plain,
% 48.94/31.59 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | ((~m_main_v_REPLY_h_STALL(s4)) | m_processor_v_REPLY_h_STALL(c_p0, s4))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | (~m_main_v_REPLY_h_STALL(s4)) | m_processor_v_REPLY_h_STALL(c_p0, s4))),
% 48.94/31.59 inference(rewrite,[status(thm)],[])).
% 48.94/31.59 tff(1383,plain,
% 48.94/31.59 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | ((~m_main_v_REPLY_h_STALL(s4)) | m_processor_v_REPLY_h_STALL(c_p0, s4))),
% 48.94/31.59 inference(quant_inst,[status(thm)],[])).
% 48.94/31.59 tff(1384,plain,
% 48.94/31.59 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | (~m_main_v_REPLY_h_STALL(s4)) | m_processor_v_REPLY_h_STALL(c_p0, s4)),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1383, 1382])).
% 48.94/31.59 tff(1385,plain,
% 48.94/31.59 ($false),
% 48.94/31.59 inference(unit_resolution,[status(thm)],[1384, 1381, 1371, 1370])).
% 48.94/31.59 tff(1386,plain,((~m_main_v_REPLY_h_STALL(s4)) | m_processor_v_REPLY_h_STALL(c_p0, s4)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.59 tff(1387,plain,
% 48.94/31.59 (~m_main_v_REPLY_h_STALL(s4)),
% 48.94/31.59 inference(unit_resolution,[status(thm)],[1386, 1369])).
% 48.94/31.59 tff(1388,assumption,(m_processor_v_REPLY_h_STALL(c_p1, s4)), introduced(assumption)).
% 48.94/31.59 tff(1389,assumption,(~m_main_v_REPLY_h_STALL(s4)), introduced(assumption)).
% 48.94/31.59 tff(1390,plain,
% 48.94/31.59 (^[X: $i] : refl((m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X))) <=> (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X))))),
% 48.94/31.59 inference(bind,[status(th)],[])).
% 48.94/31.59 tff(1391,plain,
% 48.94/31.59 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X))) <=> ![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))),
% 48.94/31.59 inference(quant_intro,[status(thm)],[1390])).
% 48.94/31.59 tff(1392,plain,
% 48.94/31.59 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X))) <=> ![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))),
% 48.94/31.59 inference(rewrite,[status(thm)],[])).
% 48.94/31.59 tff(1393,plain,
% 48.94/31.59 (^[X: $i] : rewrite(((~m_processor_v_REPLY_h_STALL(c_p1, X)) | m_main_v_REPLY_h_STALL(X)) <=> (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X))))),
% 48.94/31.59 inference(bind,[status(th)],[])).
% 48.94/31.59 tff(1394,plain,
% 48.94/31.59 (![X: $i] : ((~m_processor_v_REPLY_h_STALL(c_p1, X)) | m_main_v_REPLY_h_STALL(X)) <=> ![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))),
% 48.94/31.59 inference(quant_intro,[status(thm)],[1393])).
% 48.94/31.59 tff(1395,axiom,(![X: $i] : ((~m_processor_v_REPLY_h_STALL(c_p1, X)) | m_main_v_REPLY_h_STALL(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_64')).
% 48.94/31.59 tff(1396,plain,
% 48.94/31.59 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1395, 1394])).
% 48.94/31.59 tff(1397,plain,
% 48.94/31.59 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1396, 1392])).
% 48.94/31.59 tff(1398,plain,(
% 48.94/31.59 ![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))),
% 48.94/31.59 inference(skolemize,[status(sab)],[1397])).
% 48.94/31.59 tff(1399,plain,
% 48.94/31.59 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1398, 1391])).
% 48.94/31.59 tff(1400,plain,
% 48.94/31.59 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | (m_main_v_REPLY_h_STALL(s4) | (~m_processor_v_REPLY_h_STALL(c_p1, s4)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | m_main_v_REPLY_h_STALL(s4) | (~m_processor_v_REPLY_h_STALL(c_p1, s4)))),
% 48.94/31.59 inference(rewrite,[status(thm)],[])).
% 48.94/31.59 tff(1401,plain,
% 48.94/31.59 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | (m_main_v_REPLY_h_STALL(s4) | (~m_processor_v_REPLY_h_STALL(c_p1, s4)))),
% 48.94/31.59 inference(quant_inst,[status(thm)],[])).
% 48.94/31.59 tff(1402,plain,
% 48.94/31.59 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | m_main_v_REPLY_h_STALL(s4) | (~m_processor_v_REPLY_h_STALL(c_p1, s4))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1401, 1400])).
% 48.94/31.59 tff(1403,plain,
% 48.94/31.59 ($false),
% 48.94/31.59 inference(unit_resolution,[status(thm)],[1402, 1399, 1389, 1388])).
% 48.94/31.59 tff(1404,plain,((~m_processor_v_REPLY_h_STALL(c_p1, s4)) | m_main_v_REPLY_h_STALL(s4)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.59 tff(1405,plain,
% 48.94/31.59 (~m_processor_v_REPLY_h_STALL(c_p1, s4)),
% 48.94/31.59 inference(unit_resolution,[status(thm)],[1404, 1387])).
% 48.94/31.59 tff(1406,assumption,(~m_processor_v_REPLY_h_STALL(c_p1, s4)), introduced(assumption)).
% 48.94/31.59 tff(1407,assumption,(m_processor_v_abort(c_p1, s4)), introduced(assumption)).
% 48.94/31.59 tff(1408,plain,
% 48.94/31.59 (^[I0: $i, X: $i] : refl(((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X)) <=> ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X)))),
% 48.94/31.59 inference(bind,[status(th)],[])).
% 48.94/31.59 tff(1409,plain,
% 48.94/31.59 (![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X)) <=> ![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))),
% 48.94/31.59 inference(quant_intro,[status(thm)],[1408])).
% 48.94/31.59 tff(1410,plain,
% 48.94/31.59 (![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X)) <=> ![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))),
% 48.94/31.59 inference(rewrite,[status(thm)],[])).
% 48.94/31.59 tff(1411,plain,
% 48.94/31.59 (^[I0: $i, X: $i] : rewrite((((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X)) | node61(I0, X)) <=> ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X)))),
% 48.94/31.59 inference(bind,[status(th)],[])).
% 48.94/31.59 tff(1412,plain,
% 48.94/31.59 (![I0: $i, X: $i] : (((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X)) | node61(I0, X)) <=> ![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))),
% 48.94/31.59 inference(quant_intro,[status(thm)],[1411])).
% 48.94/31.59 tff(1413,axiom,(![I0: $i, X: $i] : (((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X)) | node61(I0, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_141')).
% 48.94/31.59 tff(1414,plain,
% 48.94/31.59 (![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1413, 1412])).
% 48.94/31.59 tff(1415,plain,
% 48.94/31.59 (![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1414, 1410])).
% 48.94/31.59 tff(1416,plain,(
% 48.94/31.59 ![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))),
% 48.94/31.59 inference(skolemize,[status(sab)],[1415])).
% 48.94/31.59 tff(1417,plain,
% 48.94/31.59 (![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1416, 1409])).
% 48.94/31.59 tff(1418,plain,
% 48.94/31.59 (((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p1, s4)) | m_processor_v_REPLY_h_STALL(c_p1, s4) | node61(c_p1, s4))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p1, s4)) | m_processor_v_REPLY_h_STALL(c_p1, s4) | node61(c_p1, s4))),
% 48.94/31.59 inference(rewrite,[status(thm)],[])).
% 48.94/31.59 tff(1419,plain,
% 48.94/31.59 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p1, s4)) | m_processor_v_REPLY_h_STALL(c_p1, s4) | node61(c_p1, s4))),
% 48.94/31.59 inference(quant_inst,[status(thm)],[])).
% 48.94/31.59 tff(1420,plain,
% 48.94/31.59 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p1, s4)) | m_processor_v_REPLY_h_STALL(c_p1, s4) | node61(c_p1, s4)),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1419, 1418])).
% 48.94/31.59 tff(1421,plain,
% 48.94/31.59 ($false),
% 48.94/31.59 inference(unit_resolution,[status(thm)],[1420, 1417, 1407, 1406, 1347])).
% 48.94/31.59 tff(1422,plain,((~m_processor_v_abort(c_p1, s4)) | m_processor_v_REPLY_h_STALL(c_p1, s4) | node61(c_p1, s4)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.59 tff(1423,plain,
% 48.94/31.59 (~m_processor_v_abort(c_p1, s4)),
% 48.94/31.59 inference(unit_resolution,[status(thm)],[1422, 1405, 1347])).
% 48.94/31.59 tff(1424,assumption,(~node60(c_p1, s4)), introduced(assumption)).
% 48.94/31.59 tff(1425,assumption,(~m_processor_v_abort(c_p1, s4)), introduced(assumption)).
% 48.94/31.59 tff(1426,plain,
% 48.94/31.59 (((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p1, s4) | node60(c_p1, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p1, s4) | node60(c_p1, s4))),
% 48.94/31.59 inference(rewrite,[status(thm)],[])).
% 48.94/31.59 tff(1427,plain,
% 48.94/31.59 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p1, s4) | node60(c_p1, s4))),
% 48.94/31.59 inference(quant_inst,[status(thm)],[])).
% 48.94/31.59 tff(1428,plain,
% 48.94/31.59 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p1, s4) | node60(c_p1, s4)),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1427, 1426])).
% 48.94/31.59 tff(1429,plain,
% 48.94/31.59 ($false),
% 48.94/31.59 inference(unit_resolution,[status(thm)],[1428, 693, 1425, 1424])).
% 48.94/31.59 tff(1430,plain,(m_processor_v_abort(c_p1, s4) | node60(c_p1, s4)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.59 tff(1431,plain,
% 48.94/31.59 (node60(c_p1, s4)),
% 48.94/31.59 inference(unit_resolution,[status(thm)],[1430, 1423])).
% 48.94/31.59 tff(1432,assumption,(m_processor_v_master(c_p1, s4)), introduced(assumption)).
% 48.94/31.59 tff(1433,plain,
% 48.94/31.59 (((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | ((~m_processor_v_master(c_p0, s4)) | (~m_processor_v_master(c_p1, s4)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | (~m_processor_v_master(c_p0, s4)) | (~m_processor_v_master(c_p1, s4)))),
% 48.94/31.59 inference(rewrite,[status(thm)],[])).
% 48.94/31.59 tff(1434,plain,
% 48.94/31.59 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | ((~m_processor_v_master(c_p0, s4)) | (~m_processor_v_master(c_p1, s4)))),
% 48.94/31.59 inference(quant_inst,[status(thm)],[])).
% 48.94/31.59 tff(1435,plain,
% 48.94/31.59 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | (~m_processor_v_master(c_p0, s4)) | (~m_processor_v_master(c_p1, s4))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1434, 1433])).
% 48.94/31.59 tff(1436,plain,
% 48.94/31.59 ($false),
% 48.94/31.59 inference(unit_resolution,[status(thm)],[1435, 794, 1432, 1268])).
% 48.94/31.59 tff(1437,plain,((~m_processor_v_master(c_p0, s4)) | (~m_processor_v_master(c_p1, s4))), inference(lemma,lemma(discharge,[]))).
% 48.94/31.59 tff(1438,plain,
% 48.94/31.59 (~m_processor_v_master(c_p1, s4)),
% 48.94/31.59 inference(unit_resolution,[status(thm)],[1437, 1192])).
% 48.94/31.59 tff(1439,assumption,(~m_processor_v_master(c_p1, s4)), introduced(assumption)).
% 48.94/31.59 tff(1440,plain,
% 48.94/31.59 (^[I0: $i, X: $i] : refl((m_processor_v_master(I0, X) | (~node66(I0, X))) <=> (m_processor_v_master(I0, X) | (~node66(I0, X))))),
% 48.94/31.59 inference(bind,[status(th)],[])).
% 48.94/31.59 tff(1441,plain,
% 48.94/31.59 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))),
% 48.94/31.59 inference(quant_intro,[status(thm)],[1440])).
% 48.94/31.59 tff(1442,plain,
% 48.94/31.59 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))),
% 48.94/31.59 inference(rewrite,[status(thm)],[])).
% 48.94/31.59 tff(1443,axiom,(![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_152')).
% 48.94/31.59 tff(1444,plain,
% 48.94/31.59 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1443, 1442])).
% 48.94/31.59 tff(1445,plain,(
% 48.94/31.59 ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))),
% 48.94/31.59 inference(skolemize,[status(sab)],[1444])).
% 48.94/31.59 tff(1446,plain,
% 48.94/31.59 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1445, 1441])).
% 48.94/31.59 tff(1447,plain,
% 48.94/31.59 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p1, s4) | (~node66(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p1, s4) | (~node66(c_p1, s4)))),
% 48.94/31.59 inference(rewrite,[status(thm)],[])).
% 48.94/31.59 tff(1448,plain,
% 48.94/31.59 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p1, s4) | (~node66(c_p1, s4)))),
% 48.94/31.59 inference(quant_inst,[status(thm)],[])).
% 48.94/31.59 tff(1449,plain,
% 48.94/31.59 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p1, s4) | (~node66(c_p1, s4))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1448, 1447])).
% 48.94/31.59 tff(1450,plain,
% 48.94/31.59 (~node66(c_p1, s4)),
% 48.94/31.59 inference(unit_resolution,[status(thm)],[1449, 1446, 1439])).
% 48.94/31.59 tff(1451,plain,
% 48.94/31.59 (^[I0: $i, X: $i] : refl((m_processor_v_master(I0, X) | (~node65(I0, X))) <=> (m_processor_v_master(I0, X) | (~node65(I0, X))))),
% 48.94/31.59 inference(bind,[status(th)],[])).
% 48.94/31.59 tff(1452,plain,
% 48.94/31.59 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))),
% 48.94/31.59 inference(quant_intro,[status(thm)],[1451])).
% 48.94/31.59 tff(1453,plain,
% 48.94/31.59 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))),
% 48.94/31.59 inference(rewrite,[status(thm)],[])).
% 48.94/31.59 tff(1454,axiom,(![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_149')).
% 48.94/31.59 tff(1455,plain,
% 48.94/31.59 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1454, 1453])).
% 48.94/31.59 tff(1456,plain,(
% 48.94/31.59 ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))),
% 48.94/31.59 inference(skolemize,[status(sab)],[1455])).
% 48.94/31.59 tff(1457,plain,
% 48.94/31.59 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1456, 1452])).
% 48.94/31.59 tff(1458,plain,
% 48.94/31.59 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p1, s4) | (~node65(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p1, s4) | (~node65(c_p1, s4)))),
% 48.94/31.59 inference(rewrite,[status(thm)],[])).
% 48.94/31.59 tff(1459,plain,
% 48.94/31.59 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p1, s4) | (~node65(c_p1, s4)))),
% 48.94/31.59 inference(quant_inst,[status(thm)],[])).
% 48.94/31.59 tff(1460,plain,
% 48.94/31.59 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p1, s4) | (~node65(c_p1, s4))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1459, 1458])).
% 48.94/31.59 tff(1461,plain,
% 48.94/31.59 (~node65(c_p1, s4)),
% 48.94/31.59 inference(unit_resolution,[status(thm)],[1460, 1457, 1439])).
% 48.94/31.59 tff(1462,assumption,(node63(c_p1, s4)), introduced(assumption)).
% 48.94/31.59 tff(1463,plain,
% 48.94/31.59 (^[I0: $i, X: $i] : refl((m_processor_v_master(I0, X) | (~node63(I0, X))) <=> (m_processor_v_master(I0, X) | (~node63(I0, X))))),
% 48.94/31.59 inference(bind,[status(th)],[])).
% 48.94/31.59 tff(1464,plain,
% 48.94/31.59 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))),
% 48.94/31.59 inference(quant_intro,[status(thm)],[1463])).
% 48.94/31.59 tff(1465,plain,
% 48.94/31.59 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))),
% 48.94/31.59 inference(rewrite,[status(thm)],[])).
% 48.94/31.59 tff(1466,axiom,(![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_144')).
% 48.94/31.59 tff(1467,plain,
% 48.94/31.59 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))),
% 48.94/31.59 inference(modus_ponens,[status(thm)],[1466, 1465])).
% 48.94/31.60 tff(1468,plain,(
% 48.94/31.60 ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))),
% 48.94/31.60 inference(skolemize,[status(sab)],[1467])).
% 48.94/31.60 tff(1469,plain,
% 48.94/31.60 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))),
% 48.94/31.60 inference(modus_ponens,[status(thm)],[1468, 1464])).
% 48.94/31.60 tff(1470,plain,
% 48.94/31.60 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p1, s4) | (~node63(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p1, s4) | (~node63(c_p1, s4)))),
% 48.94/31.60 inference(rewrite,[status(thm)],[])).
% 48.94/31.60 tff(1471,plain,
% 48.94/31.60 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p1, s4) | (~node63(c_p1, s4)))),
% 48.94/31.60 inference(quant_inst,[status(thm)],[])).
% 48.94/31.60 tff(1472,plain,
% 48.94/31.60 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p1, s4) | (~node63(c_p1, s4))),
% 48.94/31.60 inference(modus_ponens,[status(thm)],[1471, 1470])).
% 48.94/31.60 tff(1473,plain,
% 48.94/31.60 ($false),
% 48.94/31.60 inference(unit_resolution,[status(thm)],[1472, 1469, 1439, 1462])).
% 48.94/31.60 tff(1474,plain,((~node63(c_p1, s4)) | m_processor_v_master(c_p1, s4)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.60 tff(1475,plain,
% 48.94/31.60 (~node63(c_p1, s4)),
% 48.94/31.60 inference(unit_resolution,[status(thm)],[1474, 1439])).
% 48.94/31.60 tff(1476,plain,
% 48.94/31.60 (^[I0: $i, X: $i] : refl((m_processor_v_master(I0, X) | (~node64(I0, X))) <=> (m_processor_v_master(I0, X) | (~node64(I0, X))))),
% 48.94/31.60 inference(bind,[status(th)],[])).
% 48.94/31.60 tff(1477,plain,
% 48.94/31.60 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))),
% 48.94/31.60 inference(quant_intro,[status(thm)],[1476])).
% 48.94/31.60 tff(1478,plain,
% 48.94/31.60 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))),
% 48.94/31.60 inference(rewrite,[status(thm)],[])).
% 48.94/31.60 tff(1479,axiom,(![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_146')).
% 48.94/31.60 tff(1480,plain,
% 48.94/31.60 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))),
% 48.94/31.60 inference(modus_ponens,[status(thm)],[1479, 1478])).
% 48.94/31.60 tff(1481,plain,(
% 48.94/31.60 ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))),
% 48.94/31.60 inference(skolemize,[status(sab)],[1480])).
% 48.94/31.60 tff(1482,plain,
% 48.94/31.60 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))),
% 48.94/31.60 inference(modus_ponens,[status(thm)],[1481, 1477])).
% 48.94/31.60 tff(1483,plain,
% 48.94/31.60 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p1, s4) | (~node64(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p1, s4) | (~node64(c_p1, s4)))),
% 48.94/31.60 inference(rewrite,[status(thm)],[])).
% 48.94/31.60 tff(1484,plain,
% 48.94/31.60 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p1, s4) | (~node64(c_p1, s4)))),
% 48.94/31.60 inference(quant_inst,[status(thm)],[])).
% 48.94/31.60 tff(1485,plain,
% 48.94/31.60 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p1, s4) | (~node64(c_p1, s4))),
% 48.94/31.60 inference(modus_ponens,[status(thm)],[1484, 1483])).
% 48.94/31.60 tff(1486,plain,
% 48.94/31.60 (~node64(c_p1, s4)),
% 48.94/31.60 inference(unit_resolution,[status(thm)],[1485, 1482, 1439])).
% 48.94/31.60 tff(1487,plain,
% 48.94/31.60 (^[I0: $i, X: $i] : refl((m_processor_v_master(I0, X) | (~node62(I0, X))) <=> (m_processor_v_master(I0, X) | (~node62(I0, X))))),
% 48.94/31.60 inference(bind,[status(th)],[])).
% 48.94/31.60 tff(1488,plain,
% 48.94/31.60 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))),
% 48.94/31.60 inference(quant_intro,[status(thm)],[1487])).
% 48.94/31.60 tff(1489,plain,
% 48.94/31.60 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))),
% 48.94/31.60 inference(rewrite,[status(thm)],[])).
% 48.94/31.60 tff(1490,axiom,(![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_142')).
% 48.94/31.60 tff(1491,plain,
% 48.94/31.60 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))),
% 48.94/31.60 inference(modus_ponens,[status(thm)],[1490, 1489])).
% 48.94/31.60 tff(1492,plain,(
% 48.94/31.60 ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))),
% 48.94/31.60 inference(skolemize,[status(sab)],[1491])).
% 48.94/31.60 tff(1493,plain,
% 48.94/31.60 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))),
% 48.94/31.60 inference(modus_ponens,[status(thm)],[1492, 1488])).
% 48.94/31.60 tff(1494,plain,
% 48.94/31.60 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p1, s4) | (~node62(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p1, s4) | (~node62(c_p1, s4)))),
% 48.94/31.60 inference(rewrite,[status(thm)],[])).
% 48.94/31.60 tff(1495,plain,
% 48.94/31.60 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p1, s4) | (~node62(c_p1, s4)))),
% 48.94/31.60 inference(quant_inst,[status(thm)],[])).
% 48.94/31.60 tff(1496,plain,
% 48.94/31.60 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p1, s4) | (~node62(c_p1, s4))),
% 48.94/31.60 inference(modus_ponens,[status(thm)],[1495, 1494])).
% 48.94/31.60 tff(1497,plain,
% 48.94/31.60 (~node62(c_p1, s4)),
% 48.94/31.60 inference(unit_resolution,[status(thm)],[1496, 1493, 1439])).
% 48.94/31.60 tff(1498,assumption,(~m_processor_v_cmd(c_p1, s4, c_idle)), introduced(assumption)).
% 48.94/31.60 tff(1499,plain,
% 48.94/31.60 (^[I0: $i, X: $i] : refl((m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X)) <=> (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X)))),
% 48.94/31.60 inference(bind,[status(th)],[])).
% 48.94/31.60 tff(1500,plain,
% 48.94/31.60 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))),
% 48.94/31.60 inference(quant_intro,[status(thm)],[1499])).
% 48.94/31.60 tff(1501,plain,
% 48.94/31.60 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))),
% 48.94/31.60 inference(rewrite,[status(thm)],[])).
% 48.94/31.60 tff(1502,plain,
% 48.94/31.60 (^[I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node62(I0, X) | node63(I0, X)) | node64(I0, X)) <=> (node62(I0, X) | node63(I0, X) | node64(I0, X))), ((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) <=> ((node62(I0, X) | node63(I0, X) | node64(I0, X)) | node65(I0, X)))), rewrite(((node62(I0, X) | node63(I0, X) | node64(I0, X)) | node65(I0, X)) <=> (node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))), ((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) <=> (node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)))), (((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | node66(I0, X)) <=> ((node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)) | node66(I0, X)))), rewrite(((node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)) | node66(I0, X)) <=> (node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))), (((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | node66(I0, X)) <=> (node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X)))), ((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | node66(I0, X)) | m_processor_v_cmd(I0, X, c_idle)) <=> ((node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X)) | m_processor_v_cmd(I0, X, c_idle)))), rewrite(((node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X)) | m_processor_v_cmd(I0, X, c_idle)) <=> (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))), ((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | node66(I0, X)) | m_processor_v_cmd(I0, X, c_idle)) <=> (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))))),
% 48.94/31.60 inference(bind,[status(th)],[])).
% 48.94/31.60 tff(1503,plain,
% 48.94/31.60 (![I0: $i, X: $i] : (((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | node66(I0, X)) | m_processor_v_cmd(I0, X, c_idle)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))),
% 48.94/31.60 inference(quant_intro,[status(thm)],[1502])).
% 48.94/31.60 tff(1504,axiom,(![I0: $i, X: $i] : (((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | node66(I0, X)) | m_processor_v_cmd(I0, X, c_idle))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_160')).
% 48.94/31.60 tff(1505,plain,
% 48.94/31.60 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))),
% 48.94/31.60 inference(modus_ponens,[status(thm)],[1504, 1503])).
% 48.94/31.60 tff(1506,plain,
% 48.94/31.60 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))),
% 48.94/31.60 inference(modus_ponens,[status(thm)],[1505, 1501])).
% 48.94/31.60 tff(1507,plain,(
% 48.94/31.60 ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))),
% 48.94/31.60 inference(skolemize,[status(sab)],[1506])).
% 48.94/31.60 tff(1508,plain,
% 48.94/31.60 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))),
% 48.94/31.60 inference(modus_ponens,[status(thm)],[1507, 1500])).
% 48.94/31.60 tff(1509,plain,
% 48.94/31.60 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node62(c_p1, s4) | node64(c_p1, s4) | node65(c_p1, s4) | node63(c_p1, s4) | m_processor_v_cmd(c_p1, s4, c_idle) | node66(c_p1, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p1, s4) | node64(c_p1, s4) | node65(c_p1, s4) | node63(c_p1, s4) | m_processor_v_cmd(c_p1, s4, c_idle) | node66(c_p1, s4))),
% 48.94/31.60 inference(rewrite,[status(thm)],[])).
% 48.94/31.60 tff(1510,plain,
% 48.94/31.60 ((m_processor_v_cmd(c_p1, s4, c_idle) | node62(c_p1, s4) | node63(c_p1, s4) | node64(c_p1, s4) | node65(c_p1, s4) | node66(c_p1, s4)) <=> (node62(c_p1, s4) | node64(c_p1, s4) | node65(c_p1, s4) | node63(c_p1, s4) | m_processor_v_cmd(c_p1, s4, c_idle) | node66(c_p1, s4))),
% 48.94/31.60 inference(rewrite,[status(thm)],[])).
% 48.94/31.60 tff(1511,plain,
% 48.94/31.60 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s4, c_idle) | node62(c_p1, s4) | node63(c_p1, s4) | node64(c_p1, s4) | node65(c_p1, s4) | node66(c_p1, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node62(c_p1, s4) | node64(c_p1, s4) | node65(c_p1, s4) | node63(c_p1, s4) | m_processor_v_cmd(c_p1, s4, c_idle) | node66(c_p1, s4)))),
% 48.94/31.60 inference(monotonicity,[status(thm)],[1510])).
% 48.94/31.60 tff(1512,plain,
% 48.94/31.60 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s4, c_idle) | node62(c_p1, s4) | node63(c_p1, s4) | node64(c_p1, s4) | node65(c_p1, s4) | node66(c_p1, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p1, s4) | node64(c_p1, s4) | node65(c_p1, s4) | node63(c_p1, s4) | m_processor_v_cmd(c_p1, s4, c_idle) | node66(c_p1, s4))),
% 48.94/31.60 inference(transitivity,[status(thm)],[1511, 1509])).
% 48.94/31.60 tff(1513,plain,
% 48.94/31.60 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s4, c_idle) | node62(c_p1, s4) | node63(c_p1, s4) | node64(c_p1, s4) | node65(c_p1, s4) | node66(c_p1, s4))),
% 48.94/31.60 inference(quant_inst,[status(thm)],[])).
% 48.94/31.60 tff(1514,plain,
% 48.94/31.60 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p1, s4) | node64(c_p1, s4) | node65(c_p1, s4) | node63(c_p1, s4) | m_processor_v_cmd(c_p1, s4, c_idle) | node66(c_p1, s4)),
% 48.94/31.60 inference(modus_ponens,[status(thm)],[1513, 1512])).
% 48.94/31.60 tff(1515,plain,
% 48.94/31.60 (node62(c_p1, s4) | node64(c_p1, s4) | node65(c_p1, s4) | node63(c_p1, s4) | node66(c_p1, s4)),
% 48.94/31.60 inference(unit_resolution,[status(thm)],[1514, 1508, 1498])).
% 48.94/31.60 tff(1516,plain,
% 48.94/31.60 ($false),
% 48.94/31.60 inference(unit_resolution,[status(thm)],[1515, 1497, 1486, 1475, 1461, 1450])).
% 48.94/31.60 tff(1517,plain,(m_processor_v_master(c_p1, s4) | m_processor_v_cmd(c_p1, s4, c_idle)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.60 tff(1518,plain,
% 48.94/31.60 (m_processor_v_cmd(c_p1, s4, c_idle)),
% 48.94/31.60 inference(unit_resolution,[status(thm)],[1517, 1438])).
% 48.94/31.60 tff(1519,assumption,(m_memory_v_cmd(c_m, s4, c_idle)), introduced(assumption)).
% 48.94/31.60 tff(1520,assumption,(node16(s4)), introduced(assumption)).
% 48.94/31.60 tff(1521,plain,
% 48.94/31.60 (^[X: $i] : refl(((~node16(X)) | (~m_processor_v_master(c_p0, X))) <=> ((~node16(X)) | (~m_processor_v_master(c_p0, X))))),
% 48.94/31.60 inference(bind,[status(th)],[])).
% 48.94/31.60 tff(1522,plain,
% 48.94/31.60 (![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X))) <=> ![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))),
% 48.94/31.60 inference(quant_intro,[status(thm)],[1521])).
% 48.94/31.60 tff(1523,plain,
% 48.94/31.60 (![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X))) <=> ![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))),
% 48.94/31.60 inference(rewrite,[status(thm)],[])).
% 48.94/31.60 tff(1524,plain,
% 48.94/31.60 (^[X: $i] : rewrite(((~m_processor_v_master(c_p0, X)) | (~node16(X))) <=> ((~node16(X)) | (~m_processor_v_master(c_p0, X))))),
% 48.94/31.60 inference(bind,[status(th)],[])).
% 48.94/31.60 tff(1525,plain,
% 48.94/31.60 (![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node16(X))) <=> ![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))),
% 48.94/31.60 inference(quant_intro,[status(thm)],[1524])).
% 48.94/31.60 tff(1526,axiom,(![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node16(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_118')).
% 48.94/31.60 tff(1527,plain,
% 48.94/31.60 (![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))),
% 48.94/31.60 inference(modus_ponens,[status(thm)],[1526, 1525])).
% 48.94/31.60 tff(1528,plain,
% 48.94/31.60 (![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))),
% 48.94/31.60 inference(modus_ponens,[status(thm)],[1527, 1523])).
% 48.94/31.60 tff(1529,plain,(
% 48.94/31.60 ![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))),
% 48.94/31.60 inference(skolemize,[status(sab)],[1528])).
% 48.94/31.60 tff(1530,plain,
% 48.94/31.60 (![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))),
% 48.94/31.60 inference(modus_ponens,[status(thm)],[1529, 1522])).
% 48.94/31.60 tff(1531,plain,
% 48.94/31.60 (((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | ((~node16(s4)) | (~m_processor_v_master(c_p0, s4)))) <=> ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | (~node16(s4)) | (~m_processor_v_master(c_p0, s4)))),
% 48.94/31.60 inference(rewrite,[status(thm)],[])).
% 48.94/31.60 tff(1532,plain,
% 48.94/31.60 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | ((~node16(s4)) | (~m_processor_v_master(c_p0, s4)))),
% 48.94/31.60 inference(quant_inst,[status(thm)],[])).
% 48.94/31.60 tff(1533,plain,
% 48.94/31.60 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | (~node16(s4)) | (~m_processor_v_master(c_p0, s4))),
% 48.94/31.60 inference(modus_ponens,[status(thm)],[1532, 1531])).
% 48.94/31.60 tff(1534,plain,
% 48.94/31.60 ($false),
% 48.94/31.60 inference(unit_resolution,[status(thm)],[1533, 1530, 1520, 1268])).
% 48.94/31.60 tff(1535,plain,((~m_processor_v_master(c_p0, s4)) | (~node16(s4))), inference(lemma,lemma(discharge,[]))).
% 48.94/31.60 tff(1536,plain,
% 48.94/31.60 (~node16(s4)),
% 48.94/31.60 inference(unit_resolution,[status(thm)],[1535, 1192])).
% 48.94/31.60 tff(1537,assumption,(~node16(s4)), introduced(assumption)).
% 48.94/31.60 tff(1538,assumption,(m_processor_v_master(c_p2, s4)), introduced(assumption)).
% 48.94/31.60 tff(1539,plain,
% 48.94/31.60 (^[X: $i] : refl((node16(X) | (~m_processor_v_master(c_p2, X))) <=> (node16(X) | (~m_processor_v_master(c_p2, X))))),
% 48.94/31.60 inference(bind,[status(th)],[])).
% 48.94/31.60 tff(1540,plain,
% 48.94/31.60 (![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X))) <=> ![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))),
% 48.94/31.60 inference(quant_intro,[status(thm)],[1539])).
% 48.94/31.60 tff(1541,plain,
% 48.94/31.60 (![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X))) <=> ![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))),
% 48.94/31.60 inference(rewrite,[status(thm)],[])).
% 48.94/31.60 tff(1542,axiom,(![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_120')).
% 48.94/31.60 tff(1543,plain,
% 48.94/31.60 (![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))),
% 48.94/31.60 inference(modus_ponens,[status(thm)],[1542, 1541])).
% 48.94/31.60 tff(1544,plain,(
% 48.94/31.60 ![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))),
% 48.94/31.60 inference(skolemize,[status(sab)],[1543])).
% 48.94/31.60 tff(1545,plain,
% 48.94/31.60 (![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))),
% 48.94/31.60 inference(modus_ponens,[status(thm)],[1544, 1540])).
% 48.94/31.60 tff(1546,plain,
% 48.94/31.60 (((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | (node16(s4) | (~m_processor_v_master(c_p2, s4)))) <=> ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | node16(s4) | (~m_processor_v_master(c_p2, s4)))),
% 48.94/31.60 inference(rewrite,[status(thm)],[])).
% 48.94/31.60 tff(1547,plain,
% 48.94/31.60 ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | (node16(s4) | (~m_processor_v_master(c_p2, s4)))),
% 48.94/31.60 inference(quant_inst,[status(thm)],[])).
% 48.94/31.60 tff(1548,plain,
% 48.94/31.60 ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | node16(s4) | (~m_processor_v_master(c_p2, s4))),
% 48.94/31.60 inference(modus_ponens,[status(thm)],[1547, 1546])).
% 48.94/31.60 tff(1549,plain,
% 48.94/31.60 ($false),
% 48.94/31.60 inference(unit_resolution,[status(thm)],[1548, 1545, 1538, 1537])).
% 48.94/31.60 tff(1550,plain,(node16(s4) | (~m_processor_v_master(c_p2, s4))), inference(lemma,lemma(discharge,[]))).
% 48.94/31.60 tff(1551,plain,
% 48.94/31.60 (~m_processor_v_master(c_p2, s4)),
% 48.94/31.60 inference(unit_resolution,[status(thm)],[1550, 1536])).
% 48.94/31.60 tff(1552,assumption,(~m_processor_v_master(c_p2, s4)), introduced(assumption)).
% 48.94/31.60 tff(1553,plain,
% 48.94/31.60 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p2, s4) | (~node66(c_p2, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p2, s4) | (~node66(c_p2, s4)))),
% 48.94/31.60 inference(rewrite,[status(thm)],[])).
% 48.94/31.60 tff(1554,plain,
% 48.94/31.60 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p2, s4) | (~node66(c_p2, s4)))),
% 48.94/31.60 inference(quant_inst,[status(thm)],[])).
% 48.94/31.60 tff(1555,plain,
% 48.94/31.60 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p2, s4) | (~node66(c_p2, s4))),
% 48.94/31.60 inference(modus_ponens,[status(thm)],[1554, 1553])).
% 48.94/31.60 tff(1556,plain,
% 48.94/31.60 (~node66(c_p2, s4)),
% 48.94/31.60 inference(unit_resolution,[status(thm)],[1555, 1446, 1552])).
% 48.94/31.60 tff(1557,plain,
% 48.94/31.60 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p2, s4) | (~node62(c_p2, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p2, s4) | (~node62(c_p2, s4)))),
% 48.94/31.60 inference(rewrite,[status(thm)],[])).
% 48.94/31.60 tff(1558,plain,
% 48.94/31.60 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p2, s4) | (~node62(c_p2, s4)))),
% 48.94/31.60 inference(quant_inst,[status(thm)],[])).
% 48.94/31.60 tff(1559,plain,
% 48.94/31.60 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p2, s4) | (~node62(c_p2, s4))),
% 48.94/31.60 inference(modus_ponens,[status(thm)],[1558, 1557])).
% 48.94/31.60 tff(1560,plain,
% 48.94/31.60 (~node62(c_p2, s4)),
% 48.94/31.60 inference(unit_resolution,[status(thm)],[1559, 1493, 1552])).
% 48.94/31.60 tff(1561,plain,
% 48.94/31.60 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p2, s4) | (~node65(c_p2, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p2, s4) | (~node65(c_p2, s4)))),
% 48.94/31.60 inference(rewrite,[status(thm)],[])).
% 48.94/31.60 tff(1562,plain,
% 48.94/31.60 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p2, s4) | (~node65(c_p2, s4)))),
% 48.94/31.60 inference(quant_inst,[status(thm)],[])).
% 48.94/31.60 tff(1563,plain,
% 48.94/31.60 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p2, s4) | (~node65(c_p2, s4))),
% 48.94/31.60 inference(modus_ponens,[status(thm)],[1562, 1561])).
% 48.94/31.60 tff(1564,plain,
% 48.94/31.60 (~node65(c_p2, s4)),
% 48.94/31.60 inference(unit_resolution,[status(thm)],[1563, 1457, 1552])).
% 48.94/31.60 tff(1565,plain,
% 48.94/31.60 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p2, s4) | (~node64(c_p2, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p2, s4) | (~node64(c_p2, s4)))),
% 48.94/31.60 inference(rewrite,[status(thm)],[])).
% 48.94/31.60 tff(1566,plain,
% 48.94/31.60 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p2, s4) | (~node64(c_p2, s4)))),
% 48.94/31.60 inference(quant_inst,[status(thm)],[])).
% 48.94/31.60 tff(1567,plain,
% 48.94/31.60 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p2, s4) | (~node64(c_p2, s4))),
% 48.94/31.60 inference(modus_ponens,[status(thm)],[1566, 1565])).
% 48.94/31.60 tff(1568,plain,
% 48.94/31.60 (~node64(c_p2, s4)),
% 48.94/31.60 inference(unit_resolution,[status(thm)],[1567, 1482, 1552])).
% 48.94/31.60 tff(1569,plain,
% 48.94/31.60 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p2, s4) | (~node63(c_p2, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p2, s4) | (~node63(c_p2, s4)))),
% 48.94/31.60 inference(rewrite,[status(thm)],[])).
% 48.94/31.60 tff(1570,plain,
% 48.94/31.60 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p2, s4) | (~node63(c_p2, s4)))),
% 48.94/31.60 inference(quant_inst,[status(thm)],[])).
% 48.94/31.60 tff(1571,plain,
% 48.94/31.60 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p2, s4) | (~node63(c_p2, s4))),
% 48.94/31.60 inference(modus_ponens,[status(thm)],[1570, 1569])).
% 48.94/31.60 tff(1572,plain,
% 48.94/31.60 (~node63(c_p2, s4)),
% 48.94/31.60 inference(unit_resolution,[status(thm)],[1571, 1469, 1552])).
% 48.94/31.60 tff(1573,assumption,(~m_processor_v_cmd(c_p2, s4, c_idle)), introduced(assumption)).
% 48.94/31.60 tff(1574,plain,
% 48.94/31.60 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s4, c_idle) | node64(c_p2, s4) | node63(c_p2, s4) | node65(c_p2, s4) | node62(c_p2, s4) | node66(c_p2, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | m_processor_v_cmd(c_p2, s4, c_idle) | node64(c_p2, s4) | node63(c_p2, s4) | node65(c_p2, s4) | node62(c_p2, s4) | node66(c_p2, s4))),
% 48.94/31.60 inference(rewrite,[status(thm)],[])).
% 48.94/31.60 tff(1575,plain,
% 48.94/31.60 ((m_processor_v_cmd(c_p2, s4, c_idle) | node62(c_p2, s4) | node63(c_p2, s4) | node64(c_p2, s4) | node65(c_p2, s4) | node66(c_p2, s4)) <=> (m_processor_v_cmd(c_p2, s4, c_idle) | node64(c_p2, s4) | node63(c_p2, s4) | node65(c_p2, s4) | node62(c_p2, s4) | node66(c_p2, s4))),
% 48.94/31.60 inference(rewrite,[status(thm)],[])).
% 48.94/31.60 tff(1576,plain,
% 48.94/31.60 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s4, c_idle) | node62(c_p2, s4) | node63(c_p2, s4) | node64(c_p2, s4) | node65(c_p2, s4) | node66(c_p2, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s4, c_idle) | node64(c_p2, s4) | node63(c_p2, s4) | node65(c_p2, s4) | node62(c_p2, s4) | node66(c_p2, s4)))),
% 48.94/31.60 inference(monotonicity,[status(thm)],[1575])).
% 48.94/31.60 tff(1577,plain,
% 48.94/31.60 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s4, c_idle) | node62(c_p2, s4) | node63(c_p2, s4) | node64(c_p2, s4) | node65(c_p2, s4) | node66(c_p2, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | m_processor_v_cmd(c_p2, s4, c_idle) | node64(c_p2, s4) | node63(c_p2, s4) | node65(c_p2, s4) | node62(c_p2, s4) | node66(c_p2, s4))),
% 48.94/31.60 inference(transitivity,[status(thm)],[1576, 1574])).
% 48.94/31.60 tff(1578,plain,
% 48.94/31.60 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s4, c_idle) | node62(c_p2, s4) | node63(c_p2, s4) | node64(c_p2, s4) | node65(c_p2, s4) | node66(c_p2, s4))),
% 48.94/31.60 inference(quant_inst,[status(thm)],[])).
% 48.94/31.60 tff(1579,plain,
% 48.94/31.60 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | m_processor_v_cmd(c_p2, s4, c_idle) | node64(c_p2, s4) | node63(c_p2, s4) | node65(c_p2, s4) | node62(c_p2, s4) | node66(c_p2, s4)),
% 48.94/31.60 inference(modus_ponens,[status(thm)],[1578, 1577])).
% 48.94/31.60 tff(1580,plain,
% 48.94/31.60 (node64(c_p2, s4) | node63(c_p2, s4) | node65(c_p2, s4) | node62(c_p2, s4) | node66(c_p2, s4)),
% 48.94/31.60 inference(unit_resolution,[status(thm)],[1579, 1508, 1573])).
% 48.94/31.60 tff(1581,plain,
% 48.94/31.60 ($false),
% 48.94/31.60 inference(unit_resolution,[status(thm)],[1580, 1572, 1568, 1564, 1560, 1556])).
% 48.94/31.60 tff(1582,plain,(m_processor_v_master(c_p2, s4) | m_processor_v_cmd(c_p2, s4, c_idle)), inference(lemma,lemma(discharge,[]))).
% 48.94/31.60 tff(1583,plain,
% 48.94/31.60 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 48.94/31.60 inference(unit_resolution,[status(thm)],[1582, 1551])).
% 48.94/31.60 tff(1584,plain,
% 48.94/31.60 (^[X: $i] : refl((node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle))) <=> (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle))))),
% 48.94/31.60 inference(bind,[status(th)],[])).
% 48.94/31.60 tff(1585,plain,
% 48.94/31.60 (![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle))) <=> ![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))),
% 48.94/31.60 inference(quant_intro,[status(thm)],[1584])).
% 48.94/31.60 tff(1586,plain,
% 48.94/31.60 (![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle))) <=> ![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))),
% 48.94/31.60 inference(rewrite,[status(thm)],[])).
% 48.94/31.60 tff(1587,plain,
% 48.94/31.60 (^[X: $i] : trans(monotonicity(rewrite((((~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) <=> ((~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))), (((((~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) | node8(X)) <=> (((~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle))) | node8(X)))), rewrite((((~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle))) | node8(X)) <=> (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))), (((((~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) | node8(X)) <=> (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))))),
% 48.94/31.60 inference(bind,[status(th)],[])).
% 48.94/31.60 tff(1588,plain,
% 48.94/31.60 (![X: $i] : ((((~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) | node8(X)) <=> ![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))),
% 48.94/31.60 inference(quant_intro,[status(thm)],[1587])).
% 48.99/31.61 tff(1589,axiom,(![X: $i] : ((((~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) | node8(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_110')).
% 48.99/31.61 tff(1590,plain,
% 48.99/31.61 (![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))),
% 48.99/31.61 inference(modus_ponens,[status(thm)],[1589, 1588])).
% 48.99/31.61 tff(1591,plain,
% 48.99/31.61 (![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))),
% 48.99/31.61 inference(modus_ponens,[status(thm)],[1590, 1586])).
% 48.99/31.61 tff(1592,plain,(
% 48.99/31.61 ![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))),
% 48.99/31.61 inference(skolemize,[status(sab)],[1591])).
% 48.99/31.61 tff(1593,plain,
% 48.99/31.61 (![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))),
% 48.99/31.61 inference(modus_ponens,[status(thm)],[1592, 1585])).
% 48.99/31.61 tff(1594,plain,
% 48.99/31.61 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | ((~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_memory_v_cmd(c_m, s4, c_idle)) | node8(s4))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_memory_v_cmd(c_m, s4, c_idle)) | node8(s4))),
% 48.99/31.61 inference(rewrite,[status(thm)],[])).
% 48.99/31.61 tff(1595,plain,
% 48.99/31.61 ((node8(s4) | (~m_memory_v_cmd(c_m, s4, c_idle)) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle))) <=> ((~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_memory_v_cmd(c_m, s4, c_idle)) | node8(s4))),
% 48.99/31.61 inference(rewrite,[status(thm)],[])).
% 48.99/31.61 tff(1596,plain,
% 48.99/31.61 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s4) | (~m_memory_v_cmd(c_m, s4, c_idle)) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle)))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | ((~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_memory_v_cmd(c_m, s4, c_idle)) | node8(s4)))),
% 48.99/31.61 inference(monotonicity,[status(thm)],[1595])).
% 48.99/31.61 tff(1597,plain,
% 48.99/31.61 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s4) | (~m_memory_v_cmd(c_m, s4, c_idle)) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle)))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_memory_v_cmd(c_m, s4, c_idle)) | node8(s4))),
% 48.99/31.61 inference(transitivity,[status(thm)],[1596, 1594])).
% 48.99/31.61 tff(1598,plain,
% 48.99/31.61 ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s4) | (~m_memory_v_cmd(c_m, s4, c_idle)) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle)))),
% 48.99/31.61 inference(quant_inst,[status(thm)],[])).
% 48.99/31.61 tff(1599,plain,
% 48.99/31.61 ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_memory_v_cmd(c_m, s4, c_idle)) | node8(s4)),
% 48.99/31.61 inference(modus_ponens,[status(thm)],[1598, 1597])).
% 48.99/31.61 tff(1600,plain,
% 48.99/31.61 (node8(s4)),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1599, 1593, 1583, 1519, 1518])).
% 48.99/31.61 tff(1601,assumption,(node60(c_p1, s4)), introduced(assumption)).
% 48.99/31.61 tff(1602,assumption,(m_processor_v_CMD(c_p0, s4, c_read_h_shared)), introduced(assumption)).
% 48.99/31.61 tff(1603,plain,
% 48.99/31.61 (^[V: $i, X: $i] : refl((m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V))) <=> (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V))))),
% 48.99/31.61 inference(bind,[status(th)],[])).
% 48.99/31.61 tff(1604,plain,
% 48.99/31.61 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))),
% 48.99/31.61 inference(quant_intro,[status(thm)],[1603])).
% 48.99/31.61 tff(1605,plain,
% 48.99/31.61 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))),
% 48.99/31.61 inference(rewrite,[status(thm)],[])).
% 48.99/31.61 tff(1606,plain,
% 48.99/31.61 (^[V: $i, X: $i] : rewrite((((~m_processor_v_CMD(c_p0, X, V)) | m_main_v_CMD(X, V)) | (~node2(X))) <=> (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V))))),
% 48.99/31.61 inference(bind,[status(th)],[])).
% 48.99/31.61 tff(1607,plain,
% 48.99/31.61 (![V: $i, X: $i] : (((~m_processor_v_CMD(c_p0, X, V)) | m_main_v_CMD(X, V)) | (~node2(X))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))),
% 48.99/31.61 inference(quant_intro,[status(thm)],[1606])).
% 48.99/31.61 tff(1608,axiom,(![V: $i, X: $i] : (((~m_processor_v_CMD(c_p0, X, V)) | m_main_v_CMD(X, V)) | (~node2(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_48')).
% 48.99/31.61 tff(1609,plain,
% 48.99/31.61 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))),
% 48.99/31.61 inference(modus_ponens,[status(thm)],[1608, 1607])).
% 48.99/31.61 tff(1610,plain,
% 48.99/31.61 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))),
% 48.99/31.61 inference(modus_ponens,[status(thm)],[1609, 1605])).
% 48.99/31.61 tff(1611,plain,(
% 48.99/31.61 ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))),
% 48.99/31.61 inference(skolemize,[status(sab)],[1610])).
% 48.99/31.61 tff(1612,plain,
% 48.99/31.61 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))),
% 48.99/31.61 inference(modus_ponens,[status(thm)],[1611, 1604])).
% 48.99/31.61 tff(1613,plain,
% 48.99/31.61 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s4, c_read_h_shared) | (~node2(s4)) | (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s4, c_read_h_shared) | (~node2(s4)) | (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)))),
% 48.99/31.61 inference(rewrite,[status(thm)],[])).
% 48.99/31.61 tff(1614,plain,
% 48.99/31.61 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s4, c_read_h_shared) | (~node2(s4)) | (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)))),
% 48.99/31.61 inference(quant_inst,[status(thm)],[])).
% 48.99/31.61 tff(1615,plain,
% 48.99/31.61 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s4, c_read_h_shared) | (~node2(s4)) | (~m_processor_v_CMD(c_p0, s4, c_read_h_shared))),
% 48.99/31.61 inference(modus_ponens,[status(thm)],[1614, 1613])).
% 48.99/31.61 tff(1616,plain,
% 48.99/31.61 ($false),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1615, 1612, 1218, 1239, 1602])).
% 48.99/31.61 tff(1617,plain,((~m_processor_v_CMD(c_p0, s4, c_read_h_shared)) | m_main_v_CMD(s4, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 48.99/31.61 tff(1618,plain,
% 48.99/31.61 (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1617, 1239])).
% 48.99/31.61 tff(1619,plain,
% 48.99/31.61 (~node47(c_p0, s4)),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1337, 657, 1618])).
% 48.99/31.61 tff(1620,assumption,(m_processor_v_cmd(c_p1, s4, c_idle)), introduced(assumption)).
% 48.99/31.61 tff(1621,plain,
% 48.99/31.61 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p0, s4, c_invalid)) | (~m_processor_v_state(c_p0, s4, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p0, s4, c_invalid)) | (~m_processor_v_state(c_p0, s4, c_shared)))),
% 48.99/31.61 inference(rewrite,[status(thm)],[])).
% 48.99/31.61 tff(1622,plain,
% 48.99/31.61 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p0, s4, c_invalid)) | (~m_processor_v_state(c_p0, s4, c_shared)))),
% 48.99/31.61 inference(quant_inst,[status(thm)],[])).
% 48.99/31.61 tff(1623,plain,
% 48.99/31.61 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p0, s4, c_invalid)) | (~m_processor_v_state(c_p0, s4, c_shared))),
% 48.99/31.61 inference(modus_ponens,[status(thm)],[1622, 1621])).
% 48.99/31.61 tff(1624,plain,
% 48.99/31.61 ($false),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1623, 977, 1075, 1085])).
% 48.99/31.61 tff(1625,plain,((~m_processor_v_state(c_p0, s4, c_shared)) | (~m_processor_v_state(c_p0, s4, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 48.99/31.61 tff(1626,plain,
% 48.99/31.61 (~m_processor_v_state(c_p0, s4, c_invalid)),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1625, 1075])).
% 48.99/31.61 tff(1627,plain,
% 48.99/31.61 (^[I0: $i, X: $i] : refl((m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X))) <=> (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X))))),
% 48.99/31.61 inference(bind,[status(th)],[])).
% 48.99/31.61 tff(1628,plain,
% 48.99/31.61 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))),
% 48.99/31.61 inference(quant_intro,[status(thm)],[1627])).
% 48.99/31.61 tff(1629,plain,
% 48.99/31.61 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))),
% 48.99/31.61 inference(rewrite,[status(thm)],[])).
% 48.99/31.61 tff(1630,axiom,(![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_143')).
% 48.99/31.61 tff(1631,plain,
% 48.99/31.61 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))),
% 48.99/31.61 inference(modus_ponens,[status(thm)],[1630, 1629])).
% 48.99/31.61 tff(1632,plain,(
% 48.99/31.61 ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))),
% 48.99/31.61 inference(skolemize,[status(sab)],[1631])).
% 48.99/31.61 tff(1633,plain,
% 48.99/31.61 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))),
% 48.99/31.61 inference(modus_ponens,[status(thm)],[1632, 1628])).
% 48.99/31.61 tff(1634,plain,
% 48.99/31.61 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p0, s4, c_invalid) | (~node62(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p0, s4, c_invalid) | (~node62(c_p0, s4)))),
% 48.99/31.61 inference(rewrite,[status(thm)],[])).
% 48.99/31.61 tff(1635,plain,
% 48.99/31.61 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p0, s4, c_invalid) | (~node62(c_p0, s4)))),
% 48.99/31.61 inference(quant_inst,[status(thm)],[])).
% 48.99/31.61 tff(1636,plain,
% 48.99/31.61 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p0, s4, c_invalid) | (~node62(c_p0, s4))),
% 48.99/31.61 inference(modus_ponens,[status(thm)],[1635, 1634])).
% 48.99/31.61 tff(1637,plain,
% 48.99/31.61 (~node62(c_p0, s4)),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1636, 1633, 1626])).
% 48.99/31.61 tff(1638,plain,
% 48.99/31.61 (~node17(s4)),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1278, 1275, 1268])).
% 48.99/31.61 tff(1639,plain,
% 48.99/31.61 (~m_memory_v_master(c_m, s4)),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1293, 1290, 1638])).
% 48.99/31.61 tff(1640,assumption,(~node62(c_p0, s4)), introduced(assumption)).
% 48.99/31.61 tff(1641,plain,
% 48.99/31.61 (^[I0: $i, X: $i] : refl((m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X)) <=> (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X)))),
% 48.99/31.61 inference(bind,[status(th)],[])).
% 48.99/31.61 tff(1642,plain,
% 48.99/31.61 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))),
% 48.99/31.61 inference(quant_intro,[status(thm)],[1641])).
% 48.99/31.61 tff(1643,plain,
% 48.99/31.61 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))),
% 48.99/31.61 inference(rewrite,[status(thm)],[])).
% 48.99/31.61 tff(1644,plain,
% 48.99/31.61 (^[I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite((node62(I0, X) | (~m_processor_v_master(I0, X))) <=> ((~m_processor_v_master(I0, X)) | node62(I0, X))), (((node62(I0, X) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_shared))) <=> (((~m_processor_v_master(I0, X)) | node62(I0, X)) | (~m_processor_v_state(I0, X, c_shared))))), rewrite((((~m_processor_v_master(I0, X)) | node62(I0, X)) | (~m_processor_v_state(I0, X, c_shared))) <=> ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))), (((node62(I0, X) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_shared))) <=> ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X)))), ((((node62(I0, X) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_shared))) | m_processor_v_cmd(I0, X, c_read_h_owned)) <=> (((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X)) | m_processor_v_cmd(I0, X, c_read_h_owned)))), rewrite((((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X)) | m_processor_v_cmd(I0, X, c_read_h_owned)) <=> (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))), ((((node62(I0, X) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_shared))) | m_processor_v_cmd(I0, X, c_read_h_owned)) <=> (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))))),
% 48.99/31.61 inference(bind,[status(th)],[])).
% 48.99/31.61 tff(1645,plain,
% 48.99/31.61 (![I0: $i, X: $i] : (((node62(I0, X) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_shared))) | m_processor_v_cmd(I0, X, c_read_h_owned)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))),
% 48.99/31.61 inference(quant_intro,[status(thm)],[1644])).
% 48.99/31.61 tff(1646,axiom,(![I0: $i, X: $i] : (((node62(I0, X) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_shared))) | m_processor_v_cmd(I0, X, c_read_h_owned))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_156')).
% 48.99/31.61 tff(1647,plain,
% 48.99/31.61 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))),
% 48.99/31.61 inference(modus_ponens,[status(thm)],[1646, 1645])).
% 48.99/31.61 tff(1648,plain,
% 48.99/31.61 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))),
% 48.99/31.61 inference(modus_ponens,[status(thm)],[1647, 1643])).
% 48.99/31.61 tff(1649,plain,(
% 48.99/31.61 ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))),
% 48.99/31.61 inference(skolemize,[status(sab)],[1648])).
% 48.99/31.61 tff(1650,plain,
% 48.99/31.61 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))),
% 48.99/31.61 inference(modus_ponens,[status(thm)],[1649, 1642])).
% 48.99/31.61 tff(1651,plain,
% 48.99/31.61 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | ((~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | (~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_cmd(c_p0, s4, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | (~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_cmd(c_p0, s4, c_read_h_owned))),
% 48.99/31.61 inference(rewrite,[status(thm)],[])).
% 48.99/31.61 tff(1652,plain,
% 48.99/31.61 ((m_processor_v_cmd(c_p0, s4, c_read_h_owned) | (~m_processor_v_state(c_p0, s4, c_shared)) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4)) <=> ((~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | (~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_cmd(c_p0, s4, c_read_h_owned))),
% 48.99/31.61 inference(rewrite,[status(thm)],[])).
% 48.99/31.61 tff(1653,plain,
% 48.99/31.61 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p0, s4, c_read_h_owned) | (~m_processor_v_state(c_p0, s4, c_shared)) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | ((~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | (~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_cmd(c_p0, s4, c_read_h_owned)))),
% 48.99/31.61 inference(monotonicity,[status(thm)],[1652])).
% 48.99/31.61 tff(1654,plain,
% 48.99/31.61 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p0, s4, c_read_h_owned) | (~m_processor_v_state(c_p0, s4, c_shared)) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | (~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_cmd(c_p0, s4, c_read_h_owned))),
% 48.99/31.61 inference(transitivity,[status(thm)],[1653, 1651])).
% 48.99/31.61 tff(1655,plain,
% 48.99/31.61 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p0, s4, c_read_h_owned) | (~m_processor_v_state(c_p0, s4, c_shared)) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4))),
% 48.99/31.61 inference(quant_inst,[status(thm)],[])).
% 48.99/31.61 tff(1656,plain,
% 48.99/31.61 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | (~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_cmd(c_p0, s4, c_read_h_owned)),
% 48.99/31.61 inference(modus_ponens,[status(thm)],[1655, 1654])).
% 48.99/31.61 tff(1657,plain,
% 48.99/31.61 ((~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | m_processor_v_cmd(c_p0, s4, c_read_h_owned)),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1656, 1650, 1075])).
% 48.99/31.61 tff(1658,plain,
% 48.99/31.61 (m_processor_v_cmd(c_p0, s4, c_read_h_owned)),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1657, 1268, 1640])).
% 48.99/31.61 tff(1659,assumption,(~m_main_v_CMD(s4, c_read_h_owned)), introduced(assumption)).
% 48.99/31.61 tff(1660,plain,
% 48.99/31.61 (^[V: $i, X: $i] : refl((m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V))) <=> (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V))))),
% 48.99/31.61 inference(bind,[status(th)],[])).
% 48.99/31.61 tff(1661,plain,
% 48.99/31.61 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))),
% 48.99/31.61 inference(quant_intro,[status(thm)],[1660])).
% 48.99/31.61 tff(1662,plain,
% 48.99/31.61 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))),
% 48.99/31.61 inference(rewrite,[status(thm)],[])).
% 48.99/31.61 tff(1663,plain,
% 48.99/31.61 (^[V: $i, X: $i] : trans(monotonicity(rewrite((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V))) <=> (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)))), (((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V))) | (~node8(X))) <=> ((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V))) | (~node8(X))))), rewrite(((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V))) | (~node8(X))) <=> (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))), (((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V))) | (~node8(X))) <=> (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))))),
% 48.99/31.61 inference(bind,[status(th)],[])).
% 48.99/31.61 tff(1664,plain,
% 48.99/31.61 (![V: $i, X: $i] : ((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V))) | (~node8(X))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))),
% 48.99/31.61 inference(quant_intro,[status(thm)],[1663])).
% 48.99/31.61 tff(1665,axiom,(![V: $i, X: $i] : ((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V))) | (~node8(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_90')).
% 48.99/31.61 tff(1666,plain,
% 48.99/31.61 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))),
% 48.99/31.61 inference(modus_ponens,[status(thm)],[1665, 1664])).
% 48.99/31.61 tff(1667,plain,
% 48.99/31.61 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))),
% 48.99/31.61 inference(modus_ponens,[status(thm)],[1666, 1662])).
% 48.99/31.61 tff(1668,plain,(
% 48.99/31.61 ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))),
% 48.99/31.61 inference(skolemize,[status(sab)],[1667])).
% 48.99/31.61 tff(1669,plain,
% 48.99/31.61 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))),
% 48.99/31.61 inference(modus_ponens,[status(thm)],[1668, 1661])).
% 48.99/31.61 tff(1670,plain,
% 48.99/31.61 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s4, c_read_h_owned) | (~node8(s4)) | (~m_processor_v_cmd(c_p0, s4, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s4, c_read_h_owned) | (~node8(s4)) | (~m_processor_v_cmd(c_p0, s4, c_read_h_owned)))),
% 48.99/31.61 inference(rewrite,[status(thm)],[])).
% 48.99/31.61 tff(1671,plain,
% 48.99/31.61 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s4, c_read_h_owned) | (~node8(s4)) | (~m_processor_v_cmd(c_p0, s4, c_read_h_owned)))),
% 48.99/31.61 inference(quant_inst,[status(thm)],[])).
% 48.99/31.61 tff(1672,plain,
% 48.99/31.61 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s4, c_read_h_owned) | (~node8(s4)) | (~m_processor_v_cmd(c_p0, s4, c_read_h_owned))),
% 48.99/31.61 inference(modus_ponens,[status(thm)],[1671, 1670])).
% 48.99/31.61 tff(1673,plain,
% 48.99/31.61 ((~node8(s4)) | (~m_processor_v_cmd(c_p0, s4, c_read_h_owned))),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1672, 1669, 1659])).
% 48.99/31.61 tff(1674,plain,
% 48.99/31.61 (~node8(s4)),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1673, 1658])).
% 48.99/31.61 tff(1675,plain,
% 48.99/31.61 (~node16(s4)),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1535, 1268])).
% 48.99/31.61 tff(1676,plain,
% 48.99/31.61 (~m_processor_v_master(c_p2, s4)),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1550, 1675])).
% 48.99/31.61 tff(1677,plain,
% 48.99/31.61 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1582, 1676])).
% 48.99/31.61 tff(1678,plain,
% 48.99/31.61 ((~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_memory_v_cmd(c_m, s4, c_idle)) | node8(s4)),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1599, 1593, 1620])).
% 48.99/31.61 tff(1679,plain,
% 48.99/31.61 (~m_memory_v_cmd(c_m, s4, c_idle)),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1678, 1677, 1674])).
% 48.99/31.61 tff(1680,plain,
% 48.99/31.61 (node29(c_m, s4)),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1323, 1320, 1679])).
% 48.99/31.61 tff(1681,plain,
% 48.99/31.61 ($false),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1308, 1305, 1680, 1639])).
% 48.99/31.61 tff(1682,plain,((~m_processor_v_master(c_p0, s4)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | m_main_v_CMD(s4, c_read_h_owned) | node62(c_p0, s4) | (~m_processor_v_state(c_p0, s4, c_shared))), inference(lemma,lemma(discharge,[]))).
% 48.99/31.61 tff(1683,plain,
% 48.99/31.61 (m_main_v_CMD(s4, c_read_h_owned)),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1682, 1637, 1268, 1075, 1620])).
% 48.99/31.61 tff(1684,assumption,(m_main_v_CMD(s4, c_read_h_owned)), introduced(assumption)).
% 48.99/31.61 tff(1685,plain,
% 48.99/31.61 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s4, c_read_h_owned) | (~m_main_v_CMD(s4, c_read_h_owned)) | (~node2(s4)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | (~m_main_v_CMD(s4, c_read_h_owned)) | (~node2(s4)))),
% 48.99/31.61 inference(rewrite,[status(thm)],[])).
% 48.99/31.61 tff(1686,plain,
% 48.99/31.61 (((~m_main_v_CMD(s4, c_read_h_owned)) | (~node2(s4)) | m_processor_v_CMD(c_p0, s4, c_read_h_owned)) <=> (m_processor_v_CMD(c_p0, s4, c_read_h_owned) | (~m_main_v_CMD(s4, c_read_h_owned)) | (~node2(s4)))),
% 48.99/31.61 inference(rewrite,[status(thm)],[])).
% 48.99/31.61 tff(1687,plain,
% 48.99/31.61 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s4, c_read_h_owned)) | (~node2(s4)) | m_processor_v_CMD(c_p0, s4, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s4, c_read_h_owned) | (~m_main_v_CMD(s4, c_read_h_owned)) | (~node2(s4))))),
% 48.99/31.61 inference(monotonicity,[status(thm)],[1686])).
% 48.99/31.61 tff(1688,plain,
% 48.99/31.61 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s4, c_read_h_owned)) | (~node2(s4)) | m_processor_v_CMD(c_p0, s4, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | (~m_main_v_CMD(s4, c_read_h_owned)) | (~node2(s4)))),
% 48.99/31.61 inference(transitivity,[status(thm)],[1687, 1685])).
% 48.99/31.61 tff(1689,plain,
% 48.99/31.61 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s4, c_read_h_owned)) | (~node2(s4)) | m_processor_v_CMD(c_p0, s4, c_read_h_owned))),
% 48.99/31.61 inference(quant_inst,[status(thm)],[])).
% 48.99/31.61 tff(1690,plain,
% 48.99/31.61 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | (~m_main_v_CMD(s4, c_read_h_owned)) | (~node2(s4))),
% 48.99/31.61 inference(modus_ponens,[status(thm)],[1689, 1688])).
% 48.99/31.61 tff(1691,plain,
% 48.99/31.61 ($false),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1690, 1228, 1218, 1160, 1684])).
% 48.99/31.61 tff(1692,plain,((~m_main_v_CMD(s4, c_read_h_owned)) | m_processor_v_CMD(c_p0, s4, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 48.99/31.61 tff(1693,plain,
% 48.99/31.61 (m_processor_v_CMD(c_p0, s4, c_read_h_owned)),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1692, 1683])).
% 48.99/31.61 tff(1694,plain,
% 48.99/31.61 (m_processor_v_abort(c_p0, s4)),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1345, 1693, 1619, 1193, 1268])).
% 48.99/31.61 tff(1695,plain,
% 48.99/31.61 (node32(c_p0, s4, s5)),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1124, 1694])).
% 48.99/31.61 tff(1696,plain,
% 48.99/31.61 (m_processor_v_state(c_p0, s5, c_shared)),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1083, 1695, 1075])).
% 48.99/31.61 tff(1697,plain,
% 48.99/31.61 (~m_processor_v_state(c_p0, s5, c_owned)),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1068, 1696])).
% 48.99/31.61 tff(1698,plain,
% 48.99/31.61 (((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p1, s4)) | (~node60(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p1, s4)) | (~node60(c_p1, s4)))),
% 48.99/31.61 inference(rewrite,[status(thm)],[])).
% 48.99/31.61 tff(1699,plain,
% 48.99/31.61 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p1, s4)) | (~node60(c_p1, s4)))),
% 48.99/31.61 inference(quant_inst,[status(thm)],[])).
% 48.99/31.61 tff(1700,plain,
% 48.99/31.61 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p1, s4)) | (~node60(c_p1, s4))),
% 48.99/31.61 inference(modus_ponens,[status(thm)],[1699, 1698])).
% 48.99/31.61 tff(1701,plain,
% 48.99/31.61 ($false),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1700, 1363, 1388, 1601])).
% 48.99/31.61 tff(1702,plain,((~m_processor_v_REPLY_h_STALL(c_p1, s4)) | (~node60(c_p1, s4))), inference(lemma,lemma(discharge,[]))).
% 48.99/31.61 tff(1703,plain,
% 48.99/31.61 (~m_processor_v_REPLY_h_STALL(c_p1, s4)),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1702, 1601])).
% 48.99/31.61 tff(1704,plain,
% 48.99/31.61 (^[X: $i] : refl(((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X)) <=> ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X)))),
% 48.99/31.61 inference(bind,[status(th)],[])).
% 48.99/31.61 tff(1705,plain,
% 48.99/31.61 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))),
% 48.99/31.61 inference(quant_intro,[status(thm)],[1704])).
% 48.99/31.61 tff(1706,plain,
% 48.99/31.61 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))),
% 48.99/31.61 inference(rewrite,[status(thm)],[])).
% 48.99/31.61 tff(1707,plain,
% 48.99/31.61 (^[X: $i] : rewrite((m_processor_v_REPLY_h_STALL(c_p1, X) | (~m_main_v_REPLY_h_STALL(X))) <=> ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X)))),
% 48.99/31.61 inference(bind,[status(th)],[])).
% 48.99/31.61 tff(1708,plain,
% 48.99/31.61 (![X: $i] : (m_processor_v_REPLY_h_STALL(c_p1, X) | (~m_main_v_REPLY_h_STALL(X))) <=> ![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))),
% 48.99/31.61 inference(quant_intro,[status(thm)],[1707])).
% 48.99/31.61 tff(1709,axiom,(![X: $i] : (m_processor_v_REPLY_h_STALL(c_p1, X) | (~m_main_v_REPLY_h_STALL(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_63')).
% 48.99/31.61 tff(1710,plain,
% 48.99/31.61 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))),
% 48.99/31.61 inference(modus_ponens,[status(thm)],[1709, 1708])).
% 48.99/31.61 tff(1711,plain,
% 48.99/31.61 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))),
% 48.99/31.61 inference(modus_ponens,[status(thm)],[1710, 1706])).
% 48.99/31.61 tff(1712,plain,(
% 48.99/31.61 ![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))),
% 48.99/31.61 inference(skolemize,[status(sab)],[1711])).
% 48.99/31.61 tff(1713,plain,
% 48.99/31.61 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))),
% 48.99/31.61 inference(modus_ponens,[status(thm)],[1712, 1705])).
% 48.99/31.61 tff(1714,plain,
% 48.99/31.61 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | ((~m_main_v_REPLY_h_STALL(s4)) | m_processor_v_REPLY_h_STALL(c_p1, s4))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | (~m_main_v_REPLY_h_STALL(s4)) | m_processor_v_REPLY_h_STALL(c_p1, s4))),
% 48.99/31.61 inference(rewrite,[status(thm)],[])).
% 48.99/31.61 tff(1715,plain,
% 48.99/31.61 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | ((~m_main_v_REPLY_h_STALL(s4)) | m_processor_v_REPLY_h_STALL(c_p1, s4))),
% 48.99/31.61 inference(quant_inst,[status(thm)],[])).
% 48.99/31.61 tff(1716,plain,
% 48.99/31.61 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | (~m_main_v_REPLY_h_STALL(s4)) | m_processor_v_REPLY_h_STALL(c_p1, s4)),
% 48.99/31.61 inference(modus_ponens,[status(thm)],[1715, 1714])).
% 48.99/31.61 tff(1717,plain,
% 48.99/31.61 ($false),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1716, 1713, 1370, 1406])).
% 48.99/31.61 tff(1718,plain,(m_processor_v_REPLY_h_STALL(c_p1, s4) | (~m_main_v_REPLY_h_STALL(s4))), inference(lemma,lemma(discharge,[]))).
% 48.99/31.61 tff(1719,plain,
% 48.99/31.61 (~m_main_v_REPLY_h_STALL(s4)),
% 48.99/31.61 inference(unit_resolution,[status(thm)],[1718, 1703])).
% 48.99/31.61 tff(1720,plain,
% 48.99/31.61 (^[X: $i] : refl((m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X))) <=> (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X))))),
% 48.99/31.61 inference(bind,[status(th)],[])).
% 48.99/31.61 tff(1721,plain,
% 48.99/31.61 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X))) <=> ![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))),
% 48.99/31.61 inference(quant_intro,[status(thm)],[1720])).
% 48.99/31.61 tff(1722,plain,
% 48.99/31.61 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X))) <=> ![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))),
% 48.99/31.62 inference(rewrite,[status(thm)],[])).
% 48.99/31.62 tff(1723,plain,
% 48.99/31.62 (^[X: $i] : rewrite(((~m_processor_v_REPLY_h_STALL(c_p0, X)) | m_main_v_REPLY_h_STALL(X)) <=> (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X))))),
% 48.99/31.62 inference(bind,[status(th)],[])).
% 48.99/31.62 tff(1724,plain,
% 48.99/31.62 (![X: $i] : ((~m_processor_v_REPLY_h_STALL(c_p0, X)) | m_main_v_REPLY_h_STALL(X)) <=> ![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))),
% 48.99/31.62 inference(quant_intro,[status(thm)],[1723])).
% 48.99/31.62 tff(1725,axiom,(![X: $i] : ((~m_processor_v_REPLY_h_STALL(c_p0, X)) | m_main_v_REPLY_h_STALL(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_55')).
% 48.99/31.62 tff(1726,plain,
% 48.99/31.62 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))),
% 48.99/31.62 inference(modus_ponens,[status(thm)],[1725, 1724])).
% 48.99/31.62 tff(1727,plain,
% 48.99/31.62 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))),
% 48.99/31.62 inference(modus_ponens,[status(thm)],[1726, 1722])).
% 48.99/31.62 tff(1728,plain,(
% 48.99/31.62 ![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))),
% 48.99/31.62 inference(skolemize,[status(sab)],[1727])).
% 48.99/31.62 tff(1729,plain,
% 48.99/31.62 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))),
% 48.99/31.62 inference(modus_ponens,[status(thm)],[1728, 1721])).
% 48.99/31.62 tff(1730,plain,
% 48.99/31.62 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | (m_main_v_REPLY_h_STALL(s4) | (~m_processor_v_REPLY_h_STALL(c_p0, s4)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | m_main_v_REPLY_h_STALL(s4) | (~m_processor_v_REPLY_h_STALL(c_p0, s4)))),
% 48.99/31.62 inference(rewrite,[status(thm)],[])).
% 48.99/31.62 tff(1731,plain,
% 48.99/31.62 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | (m_main_v_REPLY_h_STALL(s4) | (~m_processor_v_REPLY_h_STALL(c_p0, s4)))),
% 48.99/31.62 inference(quant_inst,[status(thm)],[])).
% 48.99/31.62 tff(1732,plain,
% 48.99/31.62 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | m_main_v_REPLY_h_STALL(s4) | (~m_processor_v_REPLY_h_STALL(c_p0, s4))),
% 48.99/31.62 inference(modus_ponens,[status(thm)],[1731, 1730])).
% 48.99/31.62 tff(1733,plain,
% 48.99/31.62 ($false),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1732, 1729, 1389, 1356])).
% 48.99/31.62 tff(1734,plain,(m_main_v_REPLY_h_STALL(s4) | (~m_processor_v_REPLY_h_STALL(c_p0, s4))), inference(lemma,lemma(discharge,[]))).
% 48.99/31.62 tff(1735,plain,
% 48.99/31.62 (~m_processor_v_REPLY_h_STALL(c_p0, s4)),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1734, 1719])).
% 48.99/31.62 tff(1736,assumption,(~m_main_v_CMD(s4, c_idle)), introduced(assumption)).
% 48.99/31.62 tff(1737,plain,
% 48.99/31.62 (~m_processor_v_master(c_p1, s4)),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1435, 794, 1268])).
% 48.99/31.62 tff(1738,plain,
% 48.99/31.62 (m_processor_v_cmd(c_p1, s4, c_idle)),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1517, 1737])).
% 48.99/31.62 tff(1739,plain,
% 48.99/31.62 (~node17(s4)),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1280, 1268])).
% 48.99/31.62 tff(1740,plain,
% 48.99/31.62 (~m_memory_v_master(c_m, s4)),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1295, 1739])).
% 48.99/31.62 tff(1741,plain,
% 48.99/31.62 (~node29(c_m, s4)),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1310, 1740])).
% 48.99/31.62 tff(1742,plain,
% 48.99/31.62 (m_memory_v_cmd(c_m, s4, c_idle)),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1325, 1741])).
% 48.99/31.62 tff(1743,plain,
% 48.99/31.62 (node8(s4)),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1599, 1593, 1677, 1742, 1738])).
% 48.99/31.62 tff(1744,assumption,(node8(s4)), introduced(assumption)).
% 48.99/31.62 tff(1745,assumption,(m_processor_v_cmd(c_p0, s4, c_read_h_shared)), introduced(assumption)).
% 48.99/31.62 tff(1746,plain,
% 48.99/31.62 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s4, c_read_h_shared) | (~node8(s4)) | (~m_processor_v_cmd(c_p0, s4, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s4, c_read_h_shared) | (~node8(s4)) | (~m_processor_v_cmd(c_p0, s4, c_read_h_shared)))),
% 48.99/31.62 inference(rewrite,[status(thm)],[])).
% 48.99/31.62 tff(1747,plain,
% 48.99/31.62 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s4, c_read_h_shared) | (~node8(s4)) | (~m_processor_v_cmd(c_p0, s4, c_read_h_shared)))),
% 48.99/31.62 inference(quant_inst,[status(thm)],[])).
% 48.99/31.62 tff(1748,plain,
% 48.99/31.62 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s4, c_read_h_shared) | (~node8(s4)) | (~m_processor_v_cmd(c_p0, s4, c_read_h_shared))),
% 48.99/31.62 inference(modus_ponens,[status(thm)],[1747, 1746])).
% 48.99/31.62 tff(1749,plain,
% 48.99/31.62 ($false),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1748, 1669, 1745, 1744, 1239])).
% 48.99/31.62 tff(1750,plain,((~m_processor_v_cmd(c_p0, s4, c_read_h_shared)) | (~node8(s4)) | m_main_v_CMD(s4, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 48.99/31.62 tff(1751,plain,
% 48.99/31.62 (~m_processor_v_cmd(c_p0, s4, c_read_h_shared)),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1750, 1744, 1239])).
% 48.99/31.62 tff(1752,assumption,(m_processor_v_state(c_p0, s4, c_owned)), introduced(assumption)).
% 48.99/31.62 tff(1753,plain,
% 48.99/31.62 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s4, c_invalid)) | (~m_processor_v_state(c_p0, s4, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s4, c_invalid)) | (~m_processor_v_state(c_p0, s4, c_owned)))),
% 48.99/31.62 inference(rewrite,[status(thm)],[])).
% 48.99/31.62 tff(1754,plain,
% 48.99/31.62 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s4, c_invalid)) | (~m_processor_v_state(c_p0, s4, c_owned)))),
% 48.99/31.62 inference(quant_inst,[status(thm)],[])).
% 48.99/31.62 tff(1755,plain,
% 48.99/31.62 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s4, c_invalid)) | (~m_processor_v_state(c_p0, s4, c_owned))),
% 48.99/31.62 inference(modus_ponens,[status(thm)],[1754, 1753])).
% 48.99/31.62 tff(1756,plain,
% 48.99/31.62 ($false),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1755, 137, 1085, 1752])).
% 48.99/31.62 tff(1757,plain,((~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_state(c_p0, s4, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 48.99/31.62 tff(1758,plain,
% 48.99/31.62 (~m_processor_v_state(c_p0, s4, c_owned)),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1757, 1085])).
% 48.99/31.62 tff(1759,plain,
% 48.99/31.62 (^[I0: $i, X: $i] : refl((m_processor_v_state(I0, X, c_owned) | (~node66(I0, X))) <=> (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X))))),
% 48.99/31.62 inference(bind,[status(th)],[])).
% 48.99/31.62 tff(1760,plain,
% 48.99/31.62 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))),
% 48.99/31.62 inference(quant_intro,[status(thm)],[1759])).
% 48.99/31.62 tff(1761,plain,
% 48.99/31.62 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))),
% 48.99/31.62 inference(rewrite,[status(thm)],[])).
% 48.99/31.62 tff(1762,axiom,(![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_153')).
% 48.99/31.62 tff(1763,plain,
% 48.99/31.62 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))),
% 48.99/31.62 inference(modus_ponens,[status(thm)],[1762, 1761])).
% 48.99/31.62 tff(1764,plain,(
% 48.99/31.62 ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))),
% 48.99/31.62 inference(skolemize,[status(sab)],[1763])).
% 48.99/31.62 tff(1765,plain,
% 48.99/31.62 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))),
% 48.99/31.62 inference(modus_ponens,[status(thm)],[1764, 1760])).
% 48.99/31.62 tff(1766,plain,
% 48.99/31.62 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))) | (m_processor_v_state(c_p0, s4, c_owned) | (~node66(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))) | m_processor_v_state(c_p0, s4, c_owned) | (~node66(c_p0, s4)))),
% 48.99/31.62 inference(rewrite,[status(thm)],[])).
% 48.99/31.62 tff(1767,plain,
% 48.99/31.62 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))) | (m_processor_v_state(c_p0, s4, c_owned) | (~node66(c_p0, s4)))),
% 48.99/31.62 inference(quant_inst,[status(thm)],[])).
% 48.99/31.62 tff(1768,plain,
% 48.99/31.62 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))) | m_processor_v_state(c_p0, s4, c_owned) | (~node66(c_p0, s4))),
% 48.99/31.62 inference(modus_ponens,[status(thm)],[1767, 1766])).
% 48.99/31.62 tff(1769,plain,
% 48.99/31.62 (~node66(c_p0, s4)),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1768, 1765, 1758])).
% 48.99/31.62 tff(1770,plain,
% 48.99/31.62 (^[I0: $i, X: $i] : refl((m_processor_v_state(I0, X, c_owned) | (~node64(I0, X))) <=> (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X))))),
% 48.99/31.62 inference(bind,[status(th)],[])).
% 48.99/31.62 tff(1771,plain,
% 48.99/31.62 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))),
% 48.99/31.62 inference(quant_intro,[status(thm)],[1770])).
% 48.99/31.62 tff(1772,plain,
% 48.99/31.62 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))),
% 48.99/31.62 inference(rewrite,[status(thm)],[])).
% 48.99/31.62 tff(1773,axiom,(![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_147')).
% 48.99/31.62 tff(1774,plain,
% 48.99/31.62 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))),
% 48.99/31.62 inference(modus_ponens,[status(thm)],[1773, 1772])).
% 48.99/31.62 tff(1775,plain,(
% 48.99/31.62 ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))),
% 48.99/31.62 inference(skolemize,[status(sab)],[1774])).
% 48.99/31.62 tff(1776,plain,
% 48.99/31.62 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))),
% 48.99/31.62 inference(modus_ponens,[status(thm)],[1775, 1771])).
% 48.99/31.62 tff(1777,plain,
% 48.99/31.62 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_state(c_p0, s4, c_owned) | (~node64(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_state(c_p0, s4, c_owned) | (~node64(c_p0, s4)))),
% 48.99/31.62 inference(rewrite,[status(thm)],[])).
% 48.99/31.62 tff(1778,plain,
% 48.99/31.62 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_state(c_p0, s4, c_owned) | (~node64(c_p0, s4)))),
% 48.99/31.62 inference(quant_inst,[status(thm)],[])).
% 48.99/31.62 tff(1779,plain,
% 48.99/31.62 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_state(c_p0, s4, c_owned) | (~node64(c_p0, s4))),
% 48.99/31.62 inference(modus_ponens,[status(thm)],[1778, 1777])).
% 48.99/31.62 tff(1780,plain,
% 48.99/31.62 (~node64(c_p0, s4)),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1779, 1776, 1758])).
% 48.99/31.62 tff(1781,plain,
% 48.99/31.62 (^[I0: $i, X: $i] : refl((m_processor_v_state(I0, X, c_owned) | (~node65(I0, X))) <=> (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X))))),
% 48.99/31.62 inference(bind,[status(th)],[])).
% 48.99/31.62 tff(1782,plain,
% 48.99/31.62 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))),
% 48.99/31.62 inference(quant_intro,[status(thm)],[1781])).
% 48.99/31.62 tff(1783,plain,
% 48.99/31.62 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))),
% 48.99/31.62 inference(rewrite,[status(thm)],[])).
% 48.99/31.62 tff(1784,axiom,(![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_150')).
% 48.99/31.62 tff(1785,plain,
% 48.99/31.62 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))),
% 48.99/31.62 inference(modus_ponens,[status(thm)],[1784, 1783])).
% 48.99/31.62 tff(1786,plain,(
% 48.99/31.62 ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))),
% 48.99/31.62 inference(skolemize,[status(sab)],[1785])).
% 48.99/31.62 tff(1787,plain,
% 48.99/31.62 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))),
% 48.99/31.62 inference(modus_ponens,[status(thm)],[1786, 1782])).
% 48.99/31.62 tff(1788,plain,
% 48.99/31.62 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))) | (m_processor_v_state(c_p0, s4, c_owned) | (~node65(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))) | m_processor_v_state(c_p0, s4, c_owned) | (~node65(c_p0, s4)))),
% 48.99/31.62 inference(rewrite,[status(thm)],[])).
% 48.99/31.62 tff(1789,plain,
% 48.99/31.62 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))) | (m_processor_v_state(c_p0, s4, c_owned) | (~node65(c_p0, s4)))),
% 48.99/31.62 inference(quant_inst,[status(thm)],[])).
% 48.99/31.62 tff(1790,plain,
% 48.99/31.62 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))) | m_processor_v_state(c_p0, s4, c_owned) | (~node65(c_p0, s4))),
% 48.99/31.62 inference(modus_ponens,[status(thm)],[1789, 1788])).
% 48.99/31.62 tff(1791,plain,
% 48.99/31.62 (~node65(c_p0, s4)),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1790, 1787, 1758])).
% 48.99/31.62 tff(1792,assumption,(m_processor_v_cmd(c_p0, s4, c_idle)), introduced(assumption)).
% 48.99/31.62 tff(1793,plain,
% 48.99/31.62 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~m_processor_v_cmd(c_p0, s4, c_idle)) | m_main_v_CMD(s4, c_idle) | (~node8(s4)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | m_main_v_CMD(s4, c_idle) | (~node8(s4)))),
% 48.99/31.62 inference(rewrite,[status(thm)],[])).
% 48.99/31.62 tff(1794,plain,
% 48.99/31.62 ((m_main_v_CMD(s4, c_idle) | (~node8(s4)) | (~m_processor_v_cmd(c_p0, s4, c_idle))) <=> ((~m_processor_v_cmd(c_p0, s4, c_idle)) | m_main_v_CMD(s4, c_idle) | (~node8(s4)))),
% 48.99/31.62 inference(rewrite,[status(thm)],[])).
% 48.99/31.62 tff(1795,plain,
% 48.99/31.62 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s4, c_idle) | (~node8(s4)) | (~m_processor_v_cmd(c_p0, s4, c_idle)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~m_processor_v_cmd(c_p0, s4, c_idle)) | m_main_v_CMD(s4, c_idle) | (~node8(s4))))),
% 48.99/31.62 inference(monotonicity,[status(thm)],[1794])).
% 48.99/31.62 tff(1796,plain,
% 48.99/31.62 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s4, c_idle) | (~node8(s4)) | (~m_processor_v_cmd(c_p0, s4, c_idle)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | m_main_v_CMD(s4, c_idle) | (~node8(s4)))),
% 48.99/31.62 inference(transitivity,[status(thm)],[1795, 1793])).
% 48.99/31.62 tff(1797,plain,
% 48.99/31.62 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s4, c_idle) | (~node8(s4)) | (~m_processor_v_cmd(c_p0, s4, c_idle)))),
% 48.99/31.62 inference(quant_inst,[status(thm)],[])).
% 48.99/31.62 tff(1798,plain,
% 48.99/31.62 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | m_main_v_CMD(s4, c_idle) | (~node8(s4))),
% 48.99/31.62 inference(modus_ponens,[status(thm)],[1797, 1796])).
% 48.99/31.62 tff(1799,plain,
% 48.99/31.62 ($false),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1798, 1669, 1792, 1744, 1736])).
% 48.99/31.62 tff(1800,plain,((~m_processor_v_cmd(c_p0, s4, c_idle)) | (~node8(s4)) | m_main_v_CMD(s4, c_idle)), inference(lemma,lemma(discharge,[]))).
% 48.99/31.62 tff(1801,plain,
% 48.99/31.62 (~m_processor_v_cmd(c_p0, s4, c_idle)),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1800, 1744, 1736])).
% 48.99/31.62 tff(1802,plain,
% 48.99/31.62 (~m_processor_v_state(c_p0, s4, c_shared)),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1625, 1085])).
% 48.99/31.62 tff(1803,plain,
% 48.99/31.62 (^[I0: $i, X: $i] : refl((m_processor_v_state(I0, X, c_shared) | (~node63(I0, X))) <=> (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X))))),
% 48.99/31.62 inference(bind,[status(th)],[])).
% 48.99/31.62 tff(1804,plain,
% 48.99/31.62 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))),
% 48.99/31.62 inference(quant_intro,[status(thm)],[1803])).
% 48.99/31.62 tff(1805,plain,
% 48.99/31.62 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))),
% 48.99/31.62 inference(rewrite,[status(thm)],[])).
% 48.99/31.62 tff(1806,axiom,(![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_145')).
% 48.99/31.62 tff(1807,plain,
% 48.99/31.62 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))),
% 48.99/31.62 inference(modus_ponens,[status(thm)],[1806, 1805])).
% 48.99/31.62 tff(1808,plain,(
% 48.99/31.62 ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))),
% 48.99/31.62 inference(skolemize,[status(sab)],[1807])).
% 48.99/31.62 tff(1809,plain,
% 48.99/31.62 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))),
% 48.99/31.62 inference(modus_ponens,[status(thm)],[1808, 1804])).
% 48.99/31.62 tff(1810,plain,
% 48.99/31.62 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p0, s4, c_shared) | (~node63(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p0, s4, c_shared) | (~node63(c_p0, s4)))),
% 48.99/31.62 inference(rewrite,[status(thm)],[])).
% 48.99/31.62 tff(1811,plain,
% 48.99/31.62 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p0, s4, c_shared) | (~node63(c_p0, s4)))),
% 48.99/31.62 inference(quant_inst,[status(thm)],[])).
% 48.99/31.62 tff(1812,plain,
% 48.99/31.62 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p0, s4, c_shared) | (~node63(c_p0, s4))),
% 48.99/31.62 inference(modus_ponens,[status(thm)],[1811, 1810])).
% 48.99/31.62 tff(1813,plain,
% 48.99/31.62 (~node63(c_p0, s4)),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1812, 1809, 1802])).
% 48.99/31.62 tff(1814,plain,
% 48.99/31.62 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node65(c_p0, s4) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4) | m_processor_v_cmd(c_p0, s4, c_idle) | node66(c_p0, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node65(c_p0, s4) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4) | m_processor_v_cmd(c_p0, s4, c_idle) | node66(c_p0, s4))),
% 48.99/31.62 inference(rewrite,[status(thm)],[])).
% 48.99/31.62 tff(1815,plain,
% 48.99/31.62 ((m_processor_v_cmd(c_p0, s4, c_idle) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4) | node65(c_p0, s4) | node66(c_p0, s4)) <=> (node65(c_p0, s4) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4) | m_processor_v_cmd(c_p0, s4, c_idle) | node66(c_p0, s4))),
% 48.99/31.62 inference(rewrite,[status(thm)],[])).
% 48.99/31.62 tff(1816,plain,
% 48.99/31.62 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s4, c_idle) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4) | node65(c_p0, s4) | node66(c_p0, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node65(c_p0, s4) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4) | m_processor_v_cmd(c_p0, s4, c_idle) | node66(c_p0, s4)))),
% 48.99/31.62 inference(monotonicity,[status(thm)],[1815])).
% 48.99/31.62 tff(1817,plain,
% 48.99/31.62 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s4, c_idle) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4) | node65(c_p0, s4) | node66(c_p0, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node65(c_p0, s4) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4) | m_processor_v_cmd(c_p0, s4, c_idle) | node66(c_p0, s4))),
% 48.99/31.62 inference(transitivity,[status(thm)],[1816, 1814])).
% 48.99/31.62 tff(1818,plain,
% 48.99/31.62 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s4, c_idle) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4) | node65(c_p0, s4) | node66(c_p0, s4))),
% 48.99/31.62 inference(quant_inst,[status(thm)],[])).
% 48.99/31.62 tff(1819,plain,
% 48.99/31.62 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node65(c_p0, s4) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4) | m_processor_v_cmd(c_p0, s4, c_idle) | node66(c_p0, s4)),
% 48.99/31.62 inference(modus_ponens,[status(thm)],[1818, 1817])).
% 48.99/31.62 tff(1820,plain,
% 48.99/31.62 (node65(c_p0, s4) | node62(c_p0, s4) | node64(c_p0, s4) | m_processor_v_cmd(c_p0, s4, c_idle) | node66(c_p0, s4)),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1819, 1508, 1813])).
% 48.99/31.62 tff(1821,plain,
% 48.99/31.62 (node62(c_p0, s4)),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1820, 1801, 1791, 1780, 1769])).
% 48.99/31.62 tff(1822,plain,
% 48.99/31.62 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p0, s4) | (~node62(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p0, s4) | (~node62(c_p0, s4)))),
% 48.99/31.62 inference(rewrite,[status(thm)],[])).
% 48.99/31.62 tff(1823,plain,
% 48.99/31.62 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p0, s4) | (~node62(c_p0, s4)))),
% 48.99/31.62 inference(quant_inst,[status(thm)],[])).
% 48.99/31.62 tff(1824,plain,
% 48.99/31.62 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p0, s4) | (~node62(c_p0, s4))),
% 48.99/31.62 inference(modus_ponens,[status(thm)],[1823, 1822])).
% 48.99/31.62 tff(1825,plain,
% 48.99/31.62 (m_processor_v_master(c_p0, s4)),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1824, 1493, 1821])).
% 48.99/31.62 tff(1826,plain,
% 48.99/31.62 (^[I0: $i, X: $i] : refl((m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X))) <=> (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X))))),
% 48.99/31.62 inference(bind,[status(th)],[])).
% 48.99/31.62 tff(1827,plain,
% 48.99/31.62 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))),
% 48.99/31.62 inference(quant_intro,[status(thm)],[1826])).
% 48.99/31.62 tff(1828,plain,
% 48.99/31.62 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))),
% 48.99/31.62 inference(rewrite,[status(thm)],[])).
% 48.99/31.62 tff(1829,plain,
% 48.99/31.62 (^[I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite((m_processor_v_cmd(I0, X, c_read_h_shared) | m_processor_v_cmd(I0, X, c_read_h_owned)) <=> (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared))), (((m_processor_v_cmd(I0, X, c_read_h_shared) | m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X))) <=> ((m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X))))), rewrite(((m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X))) <=> (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_master(I0, X)))), (((m_processor_v_cmd(I0, X, c_read_h_shared) | m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X))) <=> (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_master(I0, X))))), ((((m_processor_v_cmd(I0, X, c_read_h_shared) | m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_invalid))) <=> ((m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_invalid))))), rewrite(((m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_invalid))) <=> (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))), ((((m_processor_v_cmd(I0, X, c_read_h_shared) | m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_invalid))) <=> (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))))),
% 48.99/31.62 inference(bind,[status(th)],[])).
% 48.99/31.62 tff(1830,plain,
% 48.99/31.62 (![I0: $i, X: $i] : (((m_processor_v_cmd(I0, X, c_read_h_shared) | m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_invalid))) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))),
% 48.99/31.62 inference(quant_intro,[status(thm)],[1829])).
% 48.99/31.62 tff(1831,axiom,(![I0: $i, X: $i] : (((m_processor_v_cmd(I0, X, c_read_h_shared) | m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_invalid)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_155')).
% 48.99/31.62 tff(1832,plain,
% 48.99/31.62 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))),
% 48.99/31.62 inference(modus_ponens,[status(thm)],[1831, 1830])).
% 48.99/31.62 tff(1833,plain,
% 48.99/31.62 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))),
% 48.99/31.62 inference(modus_ponens,[status(thm)],[1832, 1828])).
% 48.99/31.62 tff(1834,plain,(
% 48.99/31.62 ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))),
% 48.99/31.62 inference(skolemize,[status(sab)],[1833])).
% 48.99/31.62 tff(1835,plain,
% 48.99/31.62 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))),
% 48.99/31.62 inference(modus_ponens,[status(thm)],[1834, 1827])).
% 48.99/31.62 tff(1836,plain,
% 48.99/31.62 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p0, s4)) | (~m_processor_v_state(c_p0, s4, c_invalid)) | m_processor_v_cmd(c_p0, s4, c_read_h_owned) | m_processor_v_cmd(c_p0, s4, c_read_h_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p0, s4)) | (~m_processor_v_state(c_p0, s4, c_invalid)) | m_processor_v_cmd(c_p0, s4, c_read_h_owned) | m_processor_v_cmd(c_p0, s4, c_read_h_shared))),
% 48.99/31.62 inference(rewrite,[status(thm)],[])).
% 48.99/31.62 tff(1837,plain,
% 48.99/31.62 ((m_processor_v_cmd(c_p0, s4, c_read_h_owned) | m_processor_v_cmd(c_p0, s4, c_read_h_shared) | (~m_processor_v_state(c_p0, s4, c_invalid)) | (~m_processor_v_master(c_p0, s4))) <=> ((~m_processor_v_master(c_p0, s4)) | (~m_processor_v_state(c_p0, s4, c_invalid)) | m_processor_v_cmd(c_p0, s4, c_read_h_owned) | m_processor_v_cmd(c_p0, s4, c_read_h_shared))),
% 48.99/31.62 inference(rewrite,[status(thm)],[])).
% 48.99/31.62 tff(1838,plain,
% 48.99/31.62 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s4, c_read_h_owned) | m_processor_v_cmd(c_p0, s4, c_read_h_shared) | (~m_processor_v_state(c_p0, s4, c_invalid)) | (~m_processor_v_master(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p0, s4)) | (~m_processor_v_state(c_p0, s4, c_invalid)) | m_processor_v_cmd(c_p0, s4, c_read_h_owned) | m_processor_v_cmd(c_p0, s4, c_read_h_shared)))),
% 48.99/31.62 inference(monotonicity,[status(thm)],[1837])).
% 48.99/31.62 tff(1839,plain,
% 48.99/31.62 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s4, c_read_h_owned) | m_processor_v_cmd(c_p0, s4, c_read_h_shared) | (~m_processor_v_state(c_p0, s4, c_invalid)) | (~m_processor_v_master(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p0, s4)) | (~m_processor_v_state(c_p0, s4, c_invalid)) | m_processor_v_cmd(c_p0, s4, c_read_h_owned) | m_processor_v_cmd(c_p0, s4, c_read_h_shared))),
% 48.99/31.62 inference(transitivity,[status(thm)],[1838, 1836])).
% 48.99/31.62 tff(1840,plain,
% 48.99/31.62 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s4, c_read_h_owned) | m_processor_v_cmd(c_p0, s4, c_read_h_shared) | (~m_processor_v_state(c_p0, s4, c_invalid)) | (~m_processor_v_master(c_p0, s4)))),
% 48.99/31.62 inference(quant_inst,[status(thm)],[])).
% 48.99/31.62 tff(1841,plain,
% 48.99/31.62 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p0, s4)) | (~m_processor_v_state(c_p0, s4, c_invalid)) | m_processor_v_cmd(c_p0, s4, c_read_h_owned) | m_processor_v_cmd(c_p0, s4, c_read_h_shared)),
% 48.99/31.62 inference(modus_ponens,[status(thm)],[1840, 1839])).
% 48.99/31.62 tff(1842,plain,
% 48.99/31.62 ((~m_processor_v_master(c_p0, s4)) | m_processor_v_cmd(c_p0, s4, c_read_h_owned) | m_processor_v_cmd(c_p0, s4, c_read_h_shared)),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1841, 1835, 1085])).
% 48.99/31.62 tff(1843,plain,
% 48.99/31.62 (m_processor_v_cmd(c_p0, s4, c_read_h_owned)),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1842, 1825, 1751])).
% 48.99/31.62 tff(1844,plain,
% 48.99/31.62 ($false),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1672, 1669, 1744, 1659, 1843])).
% 48.99/31.62 tff(1845,plain,((~node8(s4)) | m_main_v_CMD(s4, c_read_h_owned) | (~m_processor_v_state(c_p0, s4, c_invalid)) | m_main_v_CMD(s4, c_idle) | m_main_v_CMD(s4, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 48.99/31.62 tff(1846,plain,
% 48.99/31.62 (~m_processor_v_state(c_p0, s4, c_invalid)),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1845, 1659, 1239, 1743, 1736])).
% 48.99/31.62 tff(1847,plain,
% 48.99/31.62 (m_processor_v_state(c_p0, s4, c_shared)),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1101, 1846, 54])).
% 48.99/31.62 tff(1848,plain,
% 48.99/31.62 (node62(c_p0, s4)),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1682, 1847, 1268, 1659, 1738])).
% 48.99/31.62 tff(1849,plain,
% 48.99/31.62 ($false),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1636, 1633, 1846, 1848])).
% 48.99/31.62 tff(1850,plain,(m_main_v_CMD(s4, c_read_h_owned) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_state(c_p0, s4, c_owned) | m_main_v_CMD(s4, c_read_h_shared) | m_main_v_CMD(s4, c_idle)), inference(lemma,lemma(discharge,[]))).
% 48.99/31.62 tff(1851,plain,
% 48.99/31.62 (m_main_v_CMD(s4, c_read_h_owned)),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1850, 1239, 54, 1268, 1736])).
% 48.99/31.62 tff(1852,plain,
% 48.99/31.62 (m_processor_v_CMD(c_p0, s4, c_read_h_owned)),
% 48.99/31.62 inference(unit_resolution,[status(thm)],[1692, 1851])).
% 48.99/31.62 tff(1853,assumption,(m_processor_v_CMD(c_p0, s4, c_read_h_owned)), introduced(assumption)).
% 48.99/31.62 tff(1854,assumption,(node34(c_p0, s4, s5)), introduced(assumption)).
% 48.99/31.62 tff(1855,plain,
% 48.99/31.62 (^[Y: $i, I0: $i, X: $i] : refl(((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) <=> ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned))))),
% 48.99/31.63 inference(bind,[status(th)],[])).
% 48.99/31.63 tff(1856,plain,
% 48.99/31.63 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))),
% 48.99/31.63 inference(quant_intro,[status(thm)],[1855])).
% 48.99/31.63 tff(1857,plain,
% 48.99/31.63 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))),
% 48.99/31.63 inference(rewrite,[status(thm)],[])).
% 48.99/31.63 tff(1858,plain,
% 48.99/31.63 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite((m_processor_v_CMD(I0, X, c_read_h_shared) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))), (((m_processor_v_CMD(I0, X, c_read_h_shared) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_state(I0, Y, c_owned)) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_state(I0, Y, c_owned)))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_state(I0, Y, c_owned)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))), (((m_processor_v_CMD(I0, X, c_read_h_shared) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_state(I0, Y, c_owned)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned))))), ((((m_processor_v_CMD(I0, X, c_read_h_shared) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_state(I0, Y, c_owned)) | (~node34(I0, X, Y))) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | (~node34(I0, X, Y))))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | (~node34(I0, X, Y))) <=> ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))), ((((m_processor_v_CMD(I0, X, c_read_h_shared) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_state(I0, Y, c_owned)) | (~node34(I0, X, Y))) <=> ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))))),
% 48.99/31.63 inference(bind,[status(th)],[])).
% 48.99/31.63 tff(1859,plain,
% 48.99/31.63 (![Y: $i, I0: $i, X: $i] : (((m_processor_v_CMD(I0, X, c_read_h_shared) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_state(I0, Y, c_owned)) | (~node34(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))),
% 48.99/31.63 inference(quant_intro,[status(thm)],[1858])).
% 48.99/31.63 tff(1860,axiom,(![Y: $i, I0: $i, X: $i] : (((m_processor_v_CMD(I0, X, c_read_h_shared) | (~m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_state(I0, Y, c_owned)) | (~node34(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_54')).
% 48.99/31.63 tff(1861,plain,
% 48.99/31.63 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))),
% 48.99/31.63 inference(modus_ponens,[status(thm)],[1860, 1859])).
% 48.99/31.63 tff(1862,plain,
% 48.99/31.63 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))),
% 48.99/31.63 inference(modus_ponens,[status(thm)],[1861, 1857])).
% 48.99/31.63 tff(1863,plain,(
% 48.99/31.63 ![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))),
% 48.99/31.63 inference(skolemize,[status(sab)],[1862])).
% 48.99/31.63 tff(1864,plain,
% 48.99/31.63 (![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))),
% 48.99/31.63 inference(modus_ponens,[status(thm)],[1863, 1856])).
% 48.99/31.63 tff(1865,plain,
% 48.99/31.63 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_state(c_p0, s5, c_owned) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_state(c_p0, s5, c_owned) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)))),
% 48.99/31.63 inference(rewrite,[status(thm)],[])).
% 48.99/31.63 tff(1866,plain,
% 48.99/31.63 (((~node34(c_p0, s4, s5)) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_state(c_p0, s5, c_owned) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned))) <=> (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_state(c_p0, s5, c_owned) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)))),
% 48.99/31.63 inference(rewrite,[status(thm)],[])).
% 48.99/31.63 tff(1867,plain,
% 48.99/31.63 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p0, s4, s5)) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_state(c_p0, s5, c_owned) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_state(c_p0, s5, c_owned) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned))))),
% 48.99/31.63 inference(monotonicity,[status(thm)],[1866])).
% 48.99/31.63 tff(1868,plain,
% 48.99/31.63 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p0, s4, s5)) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_state(c_p0, s5, c_owned) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_state(c_p0, s5, c_owned) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)))),
% 48.99/31.63 inference(transitivity,[status(thm)],[1867, 1865])).
% 48.99/31.63 tff(1869,plain,
% 48.99/31.63 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p0, s4, s5)) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_state(c_p0, s5, c_owned) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)))),
% 48.99/31.63 inference(quant_inst,[status(thm)],[])).
% 48.99/31.63 tff(1870,plain,
% 48.99/31.63 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_state(c_p0, s5, c_owned) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned))),
% 48.99/31.63 inference(modus_ponens,[status(thm)],[1869, 1868])).
% 48.99/31.63 tff(1871,plain,
% 48.99/31.63 ($false),
% 48.99/31.63 inference(unit_resolution,[status(thm)],[1870, 1864, 1854, 799, 1853, 1206])).
% 48.99/31.63 tff(1872,plain,((~node34(c_p0, s4, s5)) | m_processor_v_state(c_p0, s5, c_owned) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)) | m_processor_v_CMD(c_p0, s4, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 48.99/31.63 tff(1873,plain,
% 48.99/31.63 (~node34(c_p0, s4, s5)),
% 48.99/31.63 inference(unit_resolution,[status(thm)],[1872, 1852, 799, 1618])).
% 48.99/31.63 tff(1874,plain,
% 48.99/31.63 (m_processor_v_abort(c_p0, s4)),
% 48.99/31.63 inference(unit_resolution,[status(thm)],[1333, 1873, 1268])).
% 48.99/31.63 tff(1875,assumption,(~node61(c_p0, s4)), introduced(assumption)).
% 48.99/31.63 tff(1876,assumption,(m_processor_v_abort(c_p0, s4)), introduced(assumption)).
% 48.99/31.63 tff(1877,plain,
% 48.99/31.63 (((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p0, s4)) | m_processor_v_REPLY_h_STALL(c_p0, s4) | node61(c_p0, s4))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p0, s4)) | m_processor_v_REPLY_h_STALL(c_p0, s4) | node61(c_p0, s4))),
% 48.99/31.63 inference(rewrite,[status(thm)],[])).
% 48.99/31.63 tff(1878,plain,
% 48.99/31.63 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p0, s4)) | m_processor_v_REPLY_h_STALL(c_p0, s4) | node61(c_p0, s4))),
% 48.99/31.63 inference(quant_inst,[status(thm)],[])).
% 48.99/31.63 tff(1879,plain,
% 48.99/31.63 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p0, s4)) | m_processor_v_REPLY_h_STALL(c_p0, s4) | node61(c_p0, s4)),
% 48.99/31.63 inference(modus_ponens,[status(thm)],[1878, 1877])).
% 48.99/31.63 tff(1880,plain,
% 48.99/31.63 ($false),
% 48.99/31.63 inference(unit_resolution,[status(thm)],[1879, 1417, 1876, 1371, 1875])).
% 48.99/31.63 tff(1881,plain,((~m_processor_v_abort(c_p0, s4)) | m_processor_v_REPLY_h_STALL(c_p0, s4) | node61(c_p0, s4)), inference(lemma,lemma(discharge,[]))).
% 48.99/31.63 tff(1882,plain,
% 48.99/31.63 (node61(c_p0, s4)),
% 48.99/31.63 inference(unit_resolution,[status(thm)],[1881, 1874, 1735])).
% 48.99/31.63 tff(1883,assumption,(node61(c_p0, s4)), introduced(assumption)).
% 48.99/31.63 tff(1884,assumption,(~m_processor_v_REPLY_h_WAITING(c_p0, s4)), introduced(assumption)).
% 48.99/31.63 tff(1885,plain,
% 48.99/31.63 (^[I0: $i, X: $i] : refl((m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X))) <=> (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X))))),
% 48.99/31.63 inference(bind,[status(th)],[])).
% 48.99/31.63 tff(1886,plain,
% 48.99/31.63 (![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))),
% 48.99/31.63 inference(quant_intro,[status(thm)],[1885])).
% 48.99/31.63 tff(1887,plain,
% 48.99/31.63 (![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))),
% 48.99/31.63 inference(rewrite,[status(thm)],[])).
% 48.99/31.63 tff(1888,axiom,(![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_139')).
% 48.99/31.63 tff(1889,plain,
% 48.99/31.63 (![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))),
% 48.99/31.63 inference(modus_ponens,[status(thm)],[1888, 1887])).
% 48.99/31.63 tff(1890,plain,(
% 48.99/31.63 ![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))),
% 48.99/31.63 inference(skolemize,[status(sab)],[1889])).
% 48.99/31.63 tff(1891,plain,
% 48.99/31.63 (![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))),
% 48.99/31.63 inference(modus_ponens,[status(thm)],[1890, 1886])).
% 48.99/31.63 tff(1892,plain,
% 48.99/31.63 (((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p0, s4) | (~node61(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p0, s4) | (~node61(c_p0, s4)))),
% 48.99/31.63 inference(rewrite,[status(thm)],[])).
% 48.99/31.63 tff(1893,plain,
% 48.99/31.63 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p0, s4) | (~node61(c_p0, s4)))),
% 48.99/31.63 inference(quant_inst,[status(thm)],[])).
% 48.99/31.63 tff(1894,plain,
% 48.99/31.63 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p0, s4) | (~node61(c_p0, s4))),
% 48.99/31.63 inference(modus_ponens,[status(thm)],[1893, 1892])).
% 48.99/31.63 tff(1895,plain,
% 48.99/31.63 ($false),
% 48.99/31.63 inference(unit_resolution,[status(thm)],[1894, 1891, 1884, 1883])).
% 48.99/31.63 tff(1896,plain,(m_processor_v_REPLY_h_WAITING(c_p0, s4) | (~node61(c_p0, s4))), inference(lemma,lemma(discharge,[]))).
% 48.99/31.63 tff(1897,plain,
% 48.99/31.63 (m_processor_v_REPLY_h_WAITING(c_p0, s4)),
% 48.99/31.63 inference(unit_resolution,[status(thm)],[1896, 1882])).
% 48.99/31.63 tff(1898,assumption,(~m_main_v_REPLY_h_WAITING(s4)), introduced(assumption)).
% 48.99/31.63 tff(1899,assumption,(m_processor_v_REPLY_h_WAITING(c_p0, s4)), introduced(assumption)).
% 48.99/31.63 tff(1900,plain,
% 48.99/31.63 (^[X: $i] : refl((m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X))) <=> (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X))))),
% 48.99/31.63 inference(bind,[status(th)],[])).
% 48.99/31.63 tff(1901,plain,
% 48.99/31.63 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X))) <=> ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))),
% 48.99/31.63 inference(quant_intro,[status(thm)],[1900])).
% 48.99/31.63 tff(1902,plain,
% 48.99/31.63 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X))) <=> ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))),
% 48.99/31.63 inference(rewrite,[status(thm)],[])).
% 48.99/31.63 tff(1903,plain,
% 48.99/31.63 (^[X: $i] : rewrite(((~m_processor_v_REPLY_h_WAITING(c_p0, X)) | m_main_v_REPLY_h_WAITING(X)) <=> (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X))))),
% 48.99/31.63 inference(bind,[status(th)],[])).
% 48.99/31.63 tff(1904,plain,
% 48.99/31.63 (![X: $i] : ((~m_processor_v_REPLY_h_WAITING(c_p0, X)) | m_main_v_REPLY_h_WAITING(X)) <=> ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))),
% 48.99/31.63 inference(quant_intro,[status(thm)],[1903])).
% 48.99/31.63 tff(1905,axiom,(![X: $i] : ((~m_processor_v_REPLY_h_WAITING(c_p0, X)) | m_main_v_REPLY_h_WAITING(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_53')).
% 48.99/31.63 tff(1906,plain,
% 48.99/31.63 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))),
% 48.99/31.63 inference(modus_ponens,[status(thm)],[1905, 1904])).
% 48.99/31.63 tff(1907,plain,
% 48.99/31.63 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))),
% 48.99/31.63 inference(modus_ponens,[status(thm)],[1906, 1902])).
% 48.99/31.63 tff(1908,plain,(
% 48.99/31.63 ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))),
% 48.99/31.63 inference(skolemize,[status(sab)],[1907])).
% 48.99/31.63 tff(1909,plain,
% 48.99/31.63 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))),
% 48.99/31.63 inference(modus_ponens,[status(thm)],[1908, 1901])).
% 48.99/31.63 tff(1910,plain,
% 48.99/31.63 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | (m_main_v_REPLY_h_WAITING(s4) | (~m_processor_v_REPLY_h_WAITING(c_p0, s4)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | m_main_v_REPLY_h_WAITING(s4) | (~m_processor_v_REPLY_h_WAITING(c_p0, s4)))),
% 48.99/31.63 inference(rewrite,[status(thm)],[])).
% 48.99/31.63 tff(1911,plain,
% 48.99/31.63 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | (m_main_v_REPLY_h_WAITING(s4) | (~m_processor_v_REPLY_h_WAITING(c_p0, s4)))),
% 48.99/31.63 inference(quant_inst,[status(thm)],[])).
% 48.99/31.63 tff(1912,plain,
% 48.99/31.63 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | m_main_v_REPLY_h_WAITING(s4) | (~m_processor_v_REPLY_h_WAITING(c_p0, s4))),
% 48.99/31.63 inference(modus_ponens,[status(thm)],[1911, 1910])).
% 48.99/31.63 tff(1913,plain,
% 48.99/31.63 ($false),
% 48.99/31.63 inference(unit_resolution,[status(thm)],[1912, 1909, 1899, 1898])).
% 48.99/31.63 tff(1914,plain,(m_main_v_REPLY_h_WAITING(s4) | (~m_processor_v_REPLY_h_WAITING(c_p0, s4))), inference(lemma,lemma(discharge,[]))).
% 48.99/31.63 tff(1915,plain,
% 48.99/31.63 (m_main_v_REPLY_h_WAITING(s4)),
% 48.99/31.63 inference(unit_resolution,[status(thm)],[1914, 1897])).
% 48.99/31.63 tff(1916,assumption,(~m_processor_v_REPLY_h_WAITING(c_p1, s4)), introduced(assumption)).
% 48.99/31.63 tff(1917,assumption,(m_main_v_REPLY_h_WAITING(s4)), introduced(assumption)).
% 48.99/31.63 tff(1918,plain,
% 48.99/31.63 (((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | ((~m_main_v_REPLY_h_WAITING(s4)) | m_processor_v_REPLY_h_WAITING(c_p1, s4))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | (~m_main_v_REPLY_h_WAITING(s4)) | m_processor_v_REPLY_h_WAITING(c_p1, s4))),
% 48.99/31.63 inference(rewrite,[status(thm)],[])).
% 48.99/31.63 tff(1919,plain,
% 48.99/31.63 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | ((~m_main_v_REPLY_h_WAITING(s4)) | m_processor_v_REPLY_h_WAITING(c_p1, s4))),
% 48.99/31.63 inference(quant_inst,[status(thm)],[])).
% 48.99/31.63 tff(1920,plain,
% 48.99/31.63 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | (~m_main_v_REPLY_h_WAITING(s4)) | m_processor_v_REPLY_h_WAITING(c_p1, s4)),
% 48.99/31.63 inference(modus_ponens,[status(thm)],[1919, 1918])).
% 48.99/31.63 tff(1921,plain,
% 48.99/31.63 ($false),
% 48.99/31.63 inference(unit_resolution,[status(thm)],[1920, 745, 1917, 1916])).
% 48.99/31.63 tff(1922,plain,(m_processor_v_REPLY_h_WAITING(c_p1, s4) | (~m_main_v_REPLY_h_WAITING(s4))), inference(lemma,lemma(discharge,[]))).
% 48.99/31.63 tff(1923,plain,
% 48.99/31.63 (m_processor_v_REPLY_h_WAITING(c_p1, s4)),
% 48.99/31.63 inference(unit_resolution,[status(thm)],[1922, 1915])).
% 48.99/31.63 tff(1924,assumption,(~node59(c_p1, s4)), introduced(assumption)).
% 48.99/31.63 tff(1925,assumption,(m_processor_v_REPLY_h_WAITING(c_p1, s4)), introduced(assumption)).
% 48.99/31.63 tff(1926,plain,
% 48.99/31.63 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p1, s4)) | (~node60(c_p1, s4)) | node59(c_p1, s4))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s4)) | (~node60(c_p1, s4)) | node59(c_p1, s4))),
% 48.99/31.63 inference(rewrite,[status(thm)],[])).
% 48.99/31.63 tff(1927,plain,
% 48.99/31.63 ((node59(c_p1, s4) | (~node60(c_p1, s4)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s4))) <=> ((~m_processor_v_REPLY_h_WAITING(c_p1, s4)) | (~node60(c_p1, s4)) | node59(c_p1, s4))),
% 48.99/31.63 inference(rewrite,[status(thm)],[])).
% 48.99/31.63 tff(1928,plain,
% 48.99/31.63 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s4) | (~node60(c_p1, s4)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p1, s4)) | (~node60(c_p1, s4)) | node59(c_p1, s4)))),
% 48.99/31.63 inference(monotonicity,[status(thm)],[1927])).
% 48.99/31.63 tff(1929,plain,
% 48.99/31.63 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s4) | (~node60(c_p1, s4)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s4)) | (~node60(c_p1, s4)) | node59(c_p1, s4))),
% 48.99/31.63 inference(transitivity,[status(thm)],[1928, 1926])).
% 48.99/31.63 tff(1930,plain,
% 48.99/31.63 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s4) | (~node60(c_p1, s4)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s4)))),
% 48.99/31.63 inference(quant_inst,[status(thm)],[])).
% 48.99/31.63 tff(1931,plain,
% 48.99/31.63 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s4)) | (~node60(c_p1, s4)) | node59(c_p1, s4)),
% 48.99/31.63 inference(modus_ponens,[status(thm)],[1930, 1929])).
% 48.99/31.63 tff(1932,plain,
% 48.99/31.63 ($false),
% 48.99/31.63 inference(unit_resolution,[status(thm)],[1931, 724, 1925, 1601, 1924])).
% 48.99/31.63 tff(1933,plain,((~m_processor_v_REPLY_h_WAITING(c_p1, s4)) | (~node60(c_p1, s4)) | node59(c_p1, s4)), inference(lemma,lemma(discharge,[]))).
% 48.99/31.63 tff(1934,plain,
% 48.99/31.63 (node59(c_p1, s4)),
% 48.99/31.63 inference(unit_resolution,[status(thm)],[1933, 1923, 1601])).
% 48.99/31.63 tff(1935,assumption,(~m_processor_v_CMD(c_p1, s4, c_read_h_owned)), introduced(assumption)).
% 48.99/31.63 tff(1936,plain,
% 48.99/31.63 (^[V: $i, X: $i] : refl(((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V)) <=> ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V)))),
% 48.99/31.63 inference(bind,[status(th)],[])).
% 48.99/31.63 tff(1937,plain,
% 48.99/31.63 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V)) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))),
% 48.99/31.63 inference(quant_intro,[status(thm)],[1936])).
% 48.99/31.63 tff(1938,plain,
% 48.99/31.63 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V)) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))),
% 48.99/31.63 inference(rewrite,[status(thm)],[])).
% 48.99/31.63 tff(1939,plain,
% 48.99/31.63 (^[V: $i, X: $i] : trans(monotonicity(rewrite((m_processor_v_CMD(c_p1, X, V) | (~m_main_v_CMD(X, V))) <=> ((~m_main_v_CMD(X, V)) | m_processor_v_CMD(c_p1, X, V))), (((m_processor_v_CMD(c_p1, X, V) | (~m_main_v_CMD(X, V))) | (~node3(X))) <=> (((~m_main_v_CMD(X, V)) | m_processor_v_CMD(c_p1, X, V)) | (~node3(X))))), rewrite((((~m_main_v_CMD(X, V)) | m_processor_v_CMD(c_p1, X, V)) | (~node3(X))) <=> ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))), (((m_processor_v_CMD(c_p1, X, V) | (~m_main_v_CMD(X, V))) | (~node3(X))) <=> ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))))),
% 48.99/31.63 inference(bind,[status(th)],[])).
% 48.99/31.63 tff(1940,plain,
% 48.99/31.63 (![V: $i, X: $i] : ((m_processor_v_CMD(c_p1, X, V) | (~m_main_v_CMD(X, V))) | (~node3(X))) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))),
% 48.99/31.63 inference(quant_intro,[status(thm)],[1939])).
% 48.99/31.63 tff(1941,axiom,(![V: $i, X: $i] : ((m_processor_v_CMD(c_p1, X, V) | (~m_main_v_CMD(X, V))) | (~node3(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_56')).
% 48.99/31.63 tff(1942,plain,
% 48.99/31.63 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))),
% 48.99/31.63 inference(modus_ponens,[status(thm)],[1941, 1940])).
% 48.99/31.63 tff(1943,plain,
% 48.99/31.63 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))),
% 48.99/31.63 inference(modus_ponens,[status(thm)],[1942, 1938])).
% 48.99/31.63 tff(1944,plain,(
% 48.99/31.63 ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))),
% 48.99/31.63 inference(skolemize,[status(sab)],[1943])).
% 48.99/31.63 tff(1945,plain,
% 48.99/31.63 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))),
% 48.99/31.63 inference(modus_ponens,[status(thm)],[1944, 1937])).
% 48.99/31.63 tff(1946,plain,
% 48.99/31.63 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s4, c_read_h_owned) | (~m_main_v_CMD(s4, c_read_h_owned)) | (~node3(s4)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | (~m_main_v_CMD(s4, c_read_h_owned)) | (~node3(s4)))),
% 48.99/31.63 inference(rewrite,[status(thm)],[])).
% 48.99/31.63 tff(1947,plain,
% 48.99/31.63 (((~m_main_v_CMD(s4, c_read_h_owned)) | (~node3(s4)) | m_processor_v_CMD(c_p1, s4, c_read_h_owned)) <=> (m_processor_v_CMD(c_p1, s4, c_read_h_owned) | (~m_main_v_CMD(s4, c_read_h_owned)) | (~node3(s4)))),
% 48.99/31.63 inference(rewrite,[status(thm)],[])).
% 48.99/31.63 tff(1948,plain,
% 48.99/31.63 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_read_h_owned)) | (~node3(s4)) | m_processor_v_CMD(c_p1, s4, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s4, c_read_h_owned) | (~m_main_v_CMD(s4, c_read_h_owned)) | (~node3(s4))))),
% 48.99/31.63 inference(monotonicity,[status(thm)],[1947])).
% 48.99/31.63 tff(1949,plain,
% 48.99/31.63 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_read_h_owned)) | (~node3(s4)) | m_processor_v_CMD(c_p1, s4, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | (~m_main_v_CMD(s4, c_read_h_owned)) | (~node3(s4)))),
% 48.99/31.63 inference(transitivity,[status(thm)],[1948, 1946])).
% 48.99/31.63 tff(1950,plain,
% 48.99/31.63 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_read_h_owned)) | (~node3(s4)) | m_processor_v_CMD(c_p1, s4, c_read_h_owned))),
% 48.99/31.63 inference(quant_inst,[status(thm)],[])).
% 48.99/31.63 tff(1951,plain,
% 48.99/31.63 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | (~m_main_v_CMD(s4, c_read_h_owned)) | (~node3(s4))),
% 48.99/31.63 inference(modus_ponens,[status(thm)],[1950, 1949])).
% 48.99/31.63 tff(1952,plain,
% 48.99/31.63 ($false),
% 48.99/31.63 inference(unit_resolution,[status(thm)],[1951, 1945, 1250, 1935, 1684])).
% 48.99/31.63 tff(1953,plain,(m_processor_v_CMD(c_p1, s4, c_read_h_owned) | (~m_main_v_CMD(s4, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 48.99/31.63 tff(1954,plain,
% 48.99/31.63 (m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 48.99/31.63 inference(unit_resolution,[status(thm)],[1953, 1851])).
% 48.99/31.63 tff(1955,plain,
% 48.99/31.63 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~node59(c_p1, s4)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~node59(c_p1, s4)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)))),
% 48.99/31.63 inference(rewrite,[status(thm)],[])).
% 48.99/31.63 tff(1956,plain,
% 48.99/31.63 (((~m_processor_v_CMD(c_p1, s4, c_read_h_owned)) | (~node59(c_p1, s4))) <=> ((~node59(c_p1, s4)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)))),
% 48.99/31.63 inference(rewrite,[status(thm)],[])).
% 48.99/31.63 tff(1957,plain,
% 48.99/31.63 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s4, c_read_h_owned)) | (~node59(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~node59(c_p1, s4)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned))))),
% 48.99/31.63 inference(monotonicity,[status(thm)],[1956])).
% 48.99/31.63 tff(1958,plain,
% 48.99/31.63 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s4, c_read_h_owned)) | (~node59(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~node59(c_p1, s4)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)))),
% 48.99/31.63 inference(transitivity,[status(thm)],[1957, 1955])).
% 48.99/31.63 tff(1959,plain,
% 48.99/31.63 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s4, c_read_h_owned)) | (~node59(c_p1, s4)))),
% 48.99/31.63 inference(quant_inst,[status(thm)],[])).
% 48.99/31.63 tff(1960,plain,
% 48.99/31.63 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~node59(c_p1, s4)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned))),
% 48.99/31.63 inference(modus_ponens,[status(thm)],[1959, 1958])).
% 48.99/31.63 tff(1961,plain,
% 48.99/31.63 ($false),
% 48.99/31.63 inference(unit_resolution,[status(thm)],[1960, 707, 1954, 1934])).
% 48.99/31.63 tff(1962,plain,(m_main_v_CMD(s4, c_read_h_shared) | (~node60(c_p1, s4)) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_state(c_p0, s5, c_owned) | m_processor_v_state(c_p0, s4, c_owned) | m_main_v_CMD(s4, c_idle)), inference(lemma,lemma(discharge,[]))).
% 48.99/31.63 tff(1963,plain,
% 48.99/31.63 (m_main_v_CMD(s4, c_idle)),
% 48.99/31.63 inference(unit_resolution,[status(thm)],[1962, 1697, 1268, 54, 1239, 1601])).
% 48.99/31.63 tff(1964,assumption,(m_processor_v_cmd(c_p2, s4, c_idle)), introduced(assumption)).
% 48.99/31.63 tff(1965,plain,
% 48.99/31.63 (^[X: $i] : refl(((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned))) <=> ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned))))),
% 48.99/31.63 inference(bind,[status(th)],[])).
% 48.99/31.63 tff(1966,plain,
% 48.99/31.63 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned)))),
% 48.99/31.63 inference(quant_intro,[status(thm)],[1965])).
% 48.99/31.63 tff(1967,plain,
% 48.99/31.63 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned)))),
% 48.99/31.63 inference(rewrite,[status(thm)],[])).
% 48.99/31.63 tff(1968,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_3')).
% 48.99/31.63 tff(1969,plain,
% 48.99/31.63 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned)))),
% 48.99/31.63 inference(modus_ponens,[status(thm)],[1968, 1967])).
% 48.99/31.63 tff(1970,plain,(
% 48.99/31.63 ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned)))),
% 48.99/31.63 inference(skolemize,[status(sab)],[1969])).
% 48.99/31.63 tff(1971,plain,
% 48.99/31.63 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned)))),
% 48.99/31.63 inference(modus_ponens,[status(thm)],[1970, 1966])).
% 48.99/31.63 tff(1972,plain,
% 48.99/31.63 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s4, c_idle)) | (~m_main_v_CMD(s4, c_read_h_owned)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned)))) | (~m_main_v_CMD(s4, c_idle)) | (~m_main_v_CMD(s4, c_read_h_owned)))),
% 48.99/31.63 inference(rewrite,[status(thm)],[])).
% 48.99/31.63 tff(1973,plain,
% 48.99/31.63 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s4, c_idle)) | (~m_main_v_CMD(s4, c_read_h_owned)))),
% 48.99/31.63 inference(quant_inst,[status(thm)],[])).
% 48.99/31.63 tff(1974,plain,
% 48.99/31.63 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned)))) | (~m_main_v_CMD(s4, c_idle)) | (~m_main_v_CMD(s4, c_read_h_owned))),
% 48.99/31.63 inference(modus_ponens,[status(thm)],[1973, 1972])).
% 48.99/31.63 tff(1975,plain,
% 48.99/31.63 (~m_main_v_CMD(s4, c_idle)),
% 48.99/31.63 inference(unit_resolution,[status(thm)],[1974, 1971, 1684])).
% 48.99/31.63 tff(1976,plain,
% 48.99/31.63 (~node8(s4)),
% 48.99/31.63 inference(unit_resolution,[status(thm)],[1800, 1792, 1975])).
% 48.99/31.63 tff(1977,plain,
% 48.99/31.63 (~m_memory_v_cmd(c_m, s4, c_idle)),
% 48.99/31.63 inference(unit_resolution,[status(thm)],[1678, 1964, 1976])).
% 48.99/31.63 tff(1978,assumption,(~node14(s4)), introduced(assumption)).
% 48.99/31.63 tff(1979,assumption,(~node11(s4)), introduced(assumption)).
% 48.99/31.63 tff(1980,plain,
% 48.99/31.63 (^[X: $i] : refl((m_memory_v_cmd(c_m, X, c_idle) | (~node13(X))) <=> (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X))))),
% 48.99/31.63 inference(bind,[status(th)],[])).
% 48.99/31.63 tff(1981,plain,
% 48.99/31.63 (![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X))) <=> ![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))),
% 48.99/31.63 inference(quant_intro,[status(thm)],[1980])).
% 48.99/31.63 tff(1982,plain,
% 48.99/31.63 (![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X))) <=> ![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))),
% 48.99/31.63 inference(rewrite,[status(thm)],[])).
% 48.99/31.63 tff(1983,axiom,(![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_104')).
% 48.99/31.63 tff(1984,plain,
% 48.99/31.63 (![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))),
% 48.99/31.63 inference(modus_ponens,[status(thm)],[1983, 1982])).
% 48.99/31.63 tff(1985,plain,(
% 48.99/31.63 ![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))),
% 48.99/31.63 inference(skolemize,[status(sab)],[1984])).
% 48.99/31.63 tff(1986,plain,
% 48.99/31.63 (![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))),
% 48.99/31.63 inference(modus_ponens,[status(thm)],[1985, 1981])).
% 48.99/31.63 tff(1987,plain,
% 48.99/31.63 (((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | (m_memory_v_cmd(c_m, s4, c_idle) | (~node13(s4)))) <=> ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | m_memory_v_cmd(c_m, s4, c_idle) | (~node13(s4)))),
% 48.99/31.63 inference(rewrite,[status(thm)],[])).
% 48.99/31.63 tff(1988,plain,
% 48.99/31.63 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | (m_memory_v_cmd(c_m, s4, c_idle) | (~node13(s4)))),
% 48.99/31.63 inference(quant_inst,[status(thm)],[])).
% 48.99/31.63 tff(1989,plain,
% 48.99/31.63 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | m_memory_v_cmd(c_m, s4, c_idle) | (~node13(s4))),
% 48.99/31.63 inference(modus_ponens,[status(thm)],[1988, 1987])).
% 48.99/31.63 tff(1990,plain,
% 48.99/31.63 (~node13(s4)),
% 48.99/31.63 inference(unit_resolution,[status(thm)],[1989, 1986, 1313])).
% 48.99/31.63 tff(1991,plain,
% 48.99/31.63 (^[X: $i] : refl(((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle)) <=> ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle)))),
% 48.99/31.63 inference(bind,[status(th)],[])).
% 48.99/31.63 tff(1992,plain,
% 48.99/31.63 (![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle)) <=> ![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))),
% 48.99/31.64 inference(quant_intro,[status(thm)],[1991])).
% 48.99/31.64 tff(1993,plain,
% 48.99/31.64 (![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle)) <=> ![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))),
% 48.99/31.64 inference(rewrite,[status(thm)],[])).
% 48.99/31.64 tff(1994,plain,
% 48.99/31.64 (^[X: $i] : rewrite((m_memory_v_cmd(c_m, X, c_idle) | (~node9(X))) <=> ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle)))),
% 48.99/31.64 inference(bind,[status(th)],[])).
% 48.99/31.64 tff(1995,plain,
% 48.99/31.64 (![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node9(X))) <=> ![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))),
% 48.99/31.64 inference(quant_intro,[status(thm)],[1994])).
% 48.99/31.64 tff(1996,axiom,(![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node9(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_94')).
% 48.99/31.64 tff(1997,plain,
% 48.99/31.64 (![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))),
% 48.99/31.64 inference(modus_ponens,[status(thm)],[1996, 1995])).
% 48.99/31.64 tff(1998,plain,
% 48.99/31.64 (![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))),
% 48.99/31.64 inference(modus_ponens,[status(thm)],[1997, 1993])).
% 48.99/31.64 tff(1999,plain,(
% 48.99/31.64 ![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))),
% 48.99/31.64 inference(skolemize,[status(sab)],[1998])).
% 48.99/31.64 tff(2000,plain,
% 48.99/31.64 (![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))),
% 48.99/31.64 inference(modus_ponens,[status(thm)],[1999, 1992])).
% 48.99/31.64 tff(2001,plain,
% 48.99/31.64 (((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | ((~node9(s4)) | m_memory_v_cmd(c_m, s4, c_idle))) <=> ((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | (~node9(s4)) | m_memory_v_cmd(c_m, s4, c_idle))),
% 48.99/31.64 inference(rewrite,[status(thm)],[])).
% 48.99/31.64 tff(2002,plain,
% 48.99/31.64 ((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | ((~node9(s4)) | m_memory_v_cmd(c_m, s4, c_idle))),
% 48.99/31.64 inference(quant_inst,[status(thm)],[])).
% 48.99/31.64 tff(2003,plain,
% 48.99/31.64 ((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | (~node9(s4)) | m_memory_v_cmd(c_m, s4, c_idle)),
% 48.99/31.64 inference(modus_ponens,[status(thm)],[2002, 2001])).
% 48.99/31.64 tff(2004,plain,
% 48.99/31.64 (~node9(s4)),
% 48.99/31.64 inference(unit_resolution,[status(thm)],[2003, 2000, 1313])).
% 48.99/31.64 tff(2005,plain,
% 48.99/31.64 (^[X: $i] : refl((node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))))),
% 48.99/31.64 inference(bind,[status(th)],[])).
% 48.99/31.64 tff(2006,plain,
% 48.99/31.64 (![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> ![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 48.99/31.64 inference(quant_intro,[status(thm)],[2005])).
% 48.99/31.64 tff(2007,plain,
% 48.99/31.64 (![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> ![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 48.99/31.64 inference(rewrite,[status(thm)],[])).
% 48.99/31.64 tff(2008,plain,
% 48.99/31.64 (^[X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((node9(X) | node11(X)) <=> (node9(X) | node11(X))), (((node9(X) | node11(X)) | node13(X)) <=> ((node9(X) | node11(X)) | node13(X)))), rewrite(((node9(X) | node11(X)) | node13(X)) <=> (node9(X) | node11(X) | node13(X))), (((node9(X) | node11(X)) | node13(X)) <=> (node9(X) | node11(X) | node13(X)))), ((((node9(X) | node11(X)) | node13(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> ((node9(X) | node11(X) | node13(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))))), rewrite(((node9(X) | node11(X) | node13(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> (node9(X) | node11(X) | node13(X) | (~m_processor_v_cmd(c_p0, X, c_idle)))), ((((node9(X) | node11(X)) | node13(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> (node9(X) | node11(X) | node13(X) | (~m_processor_v_cmd(c_p0, X, c_idle))))), (((((node9(X) | node11(X)) | node13(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) <=> ((node9(X) | node11(X) | node13(X) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))))), rewrite(((node9(X) | node11(X) | node13(X) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) <=> (node9(X) | node11(X) | node13(X) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))), (((((node9(X) | node11(X)) | node13(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) <=> (node9(X) | node11(X) | node13(X) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))))), ((((((node9(X) | node11(X)) | node13(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))) <=> ((node9(X) | node11(X) | node13(X) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))))), rewrite(((node9(X) | node11(X) | node13(X) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))) <=> (node9(X) | node11(X) | node13(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))), ((((((node9(X) | node11(X)) | node13(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))) <=> (node9(X) | node11(X) | node13(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))))), (((((((node9(X) | node11(X)) | node13(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))) | node14(X)) <=> ((node9(X) | node11(X) | node13(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | node14(X)))), rewrite(((node9(X) | node11(X) | node13(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | node14(X)) <=> (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))), (((((((node9(X) | node11(X)) | node13(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))) | node14(X)) <=> (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))))),
% 48.99/31.64 inference(bind,[status(th)],[])).
% 48.99/31.64 tff(2009,plain,
% 48.99/31.64 (![X: $i] : ((((((node9(X) | node11(X)) | node13(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))) | node14(X)) <=> ![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 48.99/31.64 inference(quant_intro,[status(thm)],[2008])).
% 48.99/31.64 tff(2010,axiom,(![X: $i] : ((((((node9(X) | node11(X)) | node13(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))) | node14(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_113')).
% 48.99/31.64 tff(2011,plain,
% 48.99/31.64 (![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 48.99/31.64 inference(modus_ponens,[status(thm)],[2010, 2009])).
% 48.99/31.64 tff(2012,plain,
% 48.99/31.64 (![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 48.99/31.64 inference(modus_ponens,[status(thm)],[2011, 2007])).
% 48.99/31.64 tff(2013,plain,(
% 48.99/31.64 ![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 48.99/31.64 inference(skolemize,[status(sab)],[2012])).
% 48.99/31.64 tff(2014,plain,
% 48.99/31.64 (![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 48.99/31.64 inference(modus_ponens,[status(thm)],[2013, 2006])).
% 48.99/31.64 tff(2015,plain,
% 48.99/31.64 (((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s4) | node11(s4) | node14(s4) | node13(s4) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s4) | node11(s4) | node14(s4) | node13(s4) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle)))),
% 48.99/31.64 inference(rewrite,[status(thm)],[])).
% 48.99/31.64 tff(2016,plain,
% 48.99/31.64 ((node9(s4) | node11(s4) | node13(s4) | node14(s4) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle))) <=> (node9(s4) | node11(s4) | node14(s4) | node13(s4) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle)))),
% 48.99/31.64 inference(rewrite,[status(thm)],[])).
% 48.99/31.64 tff(2017,plain,
% 48.99/31.64 (((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s4) | node11(s4) | node13(s4) | node14(s4) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s4) | node11(s4) | node14(s4) | node13(s4) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle))))),
% 48.99/31.64 inference(monotonicity,[status(thm)],[2016])).
% 48.99/31.64 tff(2018,plain,
% 48.99/31.64 (((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s4) | node11(s4) | node13(s4) | node14(s4) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s4) | node11(s4) | node14(s4) | node13(s4) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle)))),
% 48.99/31.64 inference(transitivity,[status(thm)],[2017, 2015])).
% 48.99/31.64 tff(2019,plain,
% 48.99/31.64 ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s4) | node11(s4) | node13(s4) | node14(s4) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle)))),
% 48.99/31.64 inference(quant_inst,[status(thm)],[])).
% 48.99/31.64 tff(2020,plain,
% 48.99/31.64 ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s4) | node11(s4) | node14(s4) | node13(s4) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle))),
% 48.99/31.64 inference(modus_ponens,[status(thm)],[2019, 2018])).
% 48.99/31.64 tff(2021,plain,
% 48.99/31.64 (node9(s4) | node11(s4) | node14(s4) | node13(s4) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle))),
% 48.99/31.64 inference(unit_resolution,[status(thm)],[2020, 2014, 1620])).
% 48.99/31.64 tff(2022,plain,
% 48.99/31.64 ($false),
% 48.99/31.64 inference(unit_resolution,[status(thm)],[2021, 2004, 1990, 1792, 1964, 1979, 1978])).
% 48.99/31.64 tff(2023,plain,(m_memory_v_cmd(c_m, s4, c_idle) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | node11(s4) | node14(s4) | (~m_processor_v_cmd(c_p1, s4, c_idle))), inference(lemma,lemma(discharge,[]))).
% 48.99/31.64 tff(2024,plain,
% 48.99/31.64 (node11(s4)),
% 48.99/31.64 inference(unit_resolution,[status(thm)],[2023, 1313, 1620, 1964, 1978, 1792])).
% 48.99/31.64 tff(2025,plain,
% 48.99/31.64 (^[X: $i] : refl((m_memory_v_cmd(c_m, X, c_idle) | (~node11(X))) <=> (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X))))),
% 48.99/31.64 inference(bind,[status(th)],[])).
% 48.99/31.64 tff(2026,plain,
% 48.99/31.64 (![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X))) <=> ![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))),
% 48.99/31.64 inference(quant_intro,[status(thm)],[2025])).
% 48.99/31.64 tff(2027,plain,
% 48.99/31.64 (![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X))) <=> ![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))),
% 48.99/31.64 inference(rewrite,[status(thm)],[])).
% 48.99/31.64 tff(2028,axiom,(![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_99')).
% 48.99/31.64 tff(2029,plain,
% 48.99/31.64 (![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))),
% 48.99/31.64 inference(modus_ponens,[status(thm)],[2028, 2027])).
% 48.99/31.64 tff(2030,plain,(
% 48.99/31.64 ![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))),
% 48.99/31.64 inference(skolemize,[status(sab)],[2029])).
% 48.99/31.64 tff(2031,plain,
% 48.99/31.64 (![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))),
% 48.99/31.64 inference(modus_ponens,[status(thm)],[2030, 2026])).
% 48.99/31.64 tff(2032,plain,
% 48.99/31.64 (((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | (m_memory_v_cmd(c_m, s4, c_idle) | (~node11(s4)))) <=> ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | m_memory_v_cmd(c_m, s4, c_idle) | (~node11(s4)))),
% 48.99/31.64 inference(rewrite,[status(thm)],[])).
% 48.99/31.64 tff(2033,plain,
% 48.99/31.64 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | (m_memory_v_cmd(c_m, s4, c_idle) | (~node11(s4)))),
% 48.99/31.64 inference(quant_inst,[status(thm)],[])).
% 48.99/31.64 tff(2034,plain,
% 48.99/31.64 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | m_memory_v_cmd(c_m, s4, c_idle) | (~node11(s4))),
% 48.99/31.64 inference(modus_ponens,[status(thm)],[2033, 2032])).
% 48.99/31.64 tff(2035,plain,
% 48.99/31.64 ($false),
% 48.99/31.64 inference(unit_resolution,[status(thm)],[2034, 2031, 1313, 2024])).
% 48.99/31.64 tff(2036,plain,(m_memory_v_cmd(c_m, s4, c_idle) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | node14(s4) | (~m_processor_v_cmd(c_p0, s4, c_idle))), inference(lemma,lemma(discharge,[]))).
% 48.99/31.64 tff(2037,plain,
% 48.99/31.64 (node14(s4)),
% 48.99/31.64 inference(unit_resolution,[status(thm)],[2036, 1977, 1964, 1792, 1620])).
% 48.99/31.64 tff(2038,plain,
% 48.99/31.64 (^[V: $i, X: $i] : refl(((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V)) <=> ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V)))),
% 48.99/31.64 inference(bind,[status(th)],[])).
% 48.99/31.64 tff(2039,plain,
% 48.99/31.64 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V)) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V))),
% 48.99/31.64 inference(quant_intro,[status(thm)],[2038])).
% 48.99/31.64 tff(2040,plain,
% 48.99/31.64 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V)) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V))),
% 48.99/31.64 inference(rewrite,[status(thm)],[])).
% 48.99/31.64 tff(2041,plain,
% 48.99/31.64 (^[V: $i, X: $i] : rewrite((((~m_main_v_CMD(X, V)) | m_memory_v_cmd(c_m, X, V)) | (~node14(X))) <=> ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V)))),
% 48.99/31.64 inference(bind,[status(th)],[])).
% 48.99/31.64 tff(2042,plain,
% 48.99/31.64 (![V: $i, X: $i] : (((~m_main_v_CMD(X, V)) | m_memory_v_cmd(c_m, X, V)) | (~node14(X))) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V))),
% 48.99/31.64 inference(quant_intro,[status(thm)],[2041])).
% 48.99/31.64 tff(2043,axiom,(![V: $i, X: $i] : (((~m_main_v_CMD(X, V)) | m_memory_v_cmd(c_m, X, V)) | (~node14(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_106')).
% 48.99/31.64 tff(2044,plain,
% 48.99/31.64 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V))),
% 48.99/31.64 inference(modus_ponens,[status(thm)],[2043, 2042])).
% 48.99/31.64 tff(2045,plain,
% 48.99/31.64 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V))),
% 48.99/31.64 inference(modus_ponens,[status(thm)],[2044, 2040])).
% 48.99/31.64 tff(2046,plain,(
% 48.99/31.64 ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V))),
% 48.99/31.64 inference(skolemize,[status(sab)],[2045])).
% 48.99/31.64 tff(2047,plain,
% 48.99/31.64 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V))),
% 48.99/31.64 inference(modus_ponens,[status(thm)],[2046, 2039])).
% 48.99/31.64 tff(2048,plain,
% 48.99/31.64 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V))) | ((~m_main_v_CMD(s4, c_read_h_owned)) | (~node14(s4)) | m_memory_v_cmd(c_m, s4, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V))) | (~m_main_v_CMD(s4, c_read_h_owned)) | (~node14(s4)) | m_memory_v_cmd(c_m, s4, c_read_h_owned))),
% 48.99/31.64 inference(rewrite,[status(thm)],[])).
% 48.99/31.64 tff(2049,plain,
% 48.99/31.64 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V))) | ((~m_main_v_CMD(s4, c_read_h_owned)) | (~node14(s4)) | m_memory_v_cmd(c_m, s4, c_read_h_owned))),
% 48.99/31.64 inference(quant_inst,[status(thm)],[])).
% 48.99/31.64 tff(2050,plain,
% 48.99/31.64 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V))) | (~m_main_v_CMD(s4, c_read_h_owned)) | (~node14(s4)) | m_memory_v_cmd(c_m, s4, c_read_h_owned)),
% 48.99/31.64 inference(modus_ponens,[status(thm)],[2049, 2048])).
% 48.99/31.64 tff(2051,plain,
% 48.99/31.64 ((~node14(s4)) | m_memory_v_cmd(c_m, s4, c_read_h_owned)),
% 48.99/31.64 inference(unit_resolution,[status(thm)],[2050, 2047, 1684])).
% 48.99/31.64 tff(2052,plain,
% 48.99/31.64 (m_memory_v_cmd(c_m, s4, c_read_h_owned)),
% 48.99/31.64 inference(unit_resolution,[status(thm)],[2051, 2037])).
% 48.99/31.64 tff(2053,plain,
% 48.99/31.64 (^[I0: $i, X: $i] : refl(((~m_memory_v_cmd(I0, X, c_read_h_owned)) | (~m_memory_v_cmd(I0, X, c_response))) <=> ((~m_memory_v_cmd(I0, X, c_read_h_owned)) | (~m_memory_v_cmd(I0, X, c_response))))),
% 48.99/31.64 inference(bind,[status(th)],[])).
% 48.99/31.64 tff(2054,plain,
% 48.99/31.64 (![I0: $i, X: $i] : ((~m_memory_v_cmd(I0, X, c_read_h_owned)) | (~m_memory_v_cmd(I0, X, c_response))) <=> ![I0: $i, X: $i] : ((~m_memory_v_cmd(I0, X, c_read_h_owned)) | (~m_memory_v_cmd(I0, X, c_response)))),
% 48.99/31.64 inference(quant_intro,[status(thm)],[2053])).
% 48.99/31.64 tff(2055,plain,
% 48.99/31.64 (![I0: $i, X: $i] : ((~m_memory_v_cmd(I0, X, c_read_h_owned)) | (~m_memory_v_cmd(I0, X, c_response))) <=> ![I0: $i, X: $i] : ((~m_memory_v_cmd(I0, X, c_read_h_owned)) | (~m_memory_v_cmd(I0, X, c_response)))),
% 48.99/31.64 inference(rewrite,[status(thm)],[])).
% 48.99/31.64 tff(2056,axiom,(![I0: $i, X: $i] : ((~m_memory_v_cmd(I0, X, c_read_h_owned)) | (~m_memory_v_cmd(I0, X, c_response)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_22')).
% 48.99/31.64 tff(2057,plain,
% 48.99/31.64 (![I0: $i, X: $i] : ((~m_memory_v_cmd(I0, X, c_read_h_owned)) | (~m_memory_v_cmd(I0, X, c_response)))),
% 48.99/31.64 inference(modus_ponens,[status(thm)],[2056, 2055])).
% 48.99/31.64 tff(2058,plain,(
% 48.99/31.64 ![I0: $i, X: $i] : ((~m_memory_v_cmd(I0, X, c_read_h_owned)) | (~m_memory_v_cmd(I0, X, c_response)))),
% 48.99/31.64 inference(skolemize,[status(sab)],[2057])).
% 48.99/31.64 tff(2059,plain,
% 48.99/31.64 (![I0: $i, X: $i] : ((~m_memory_v_cmd(I0, X, c_read_h_owned)) | (~m_memory_v_cmd(I0, X, c_response)))),
% 48.99/31.64 inference(modus_ponens,[status(thm)],[2058, 2054])).
% 48.99/31.64 tff(2060,plain,
% 48.99/31.64 (((~![I0: $i, X: $i] : ((~m_memory_v_cmd(I0, X, c_read_h_owned)) | (~m_memory_v_cmd(I0, X, c_response)))) | ((~m_memory_v_cmd(c_m, s4, c_read_h_owned)) | (~m_memory_v_cmd(c_m, s4, c_response)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_cmd(I0, X, c_read_h_owned)) | (~m_memory_v_cmd(I0, X, c_response)))) | (~m_memory_v_cmd(c_m, s4, c_read_h_owned)) | (~m_memory_v_cmd(c_m, s4, c_response)))),
% 48.99/31.64 inference(rewrite,[status(thm)],[])).
% 48.99/31.64 tff(2061,plain,
% 48.99/31.64 ((~![I0: $i, X: $i] : ((~m_memory_v_cmd(I0, X, c_read_h_owned)) | (~m_memory_v_cmd(I0, X, c_response)))) | ((~m_memory_v_cmd(c_m, s4, c_read_h_owned)) | (~m_memory_v_cmd(c_m, s4, c_response)))),
% 48.99/31.64 inference(quant_inst,[status(thm)],[])).
% 48.99/31.64 tff(2062,plain,
% 48.99/31.64 ((~![I0: $i, X: $i] : ((~m_memory_v_cmd(I0, X, c_read_h_owned)) | (~m_memory_v_cmd(I0, X, c_response)))) | (~m_memory_v_cmd(c_m, s4, c_read_h_owned)) | (~m_memory_v_cmd(c_m, s4, c_response))),
% 48.99/31.64 inference(modus_ponens,[status(thm)],[2061, 2060])).
% 48.99/31.64 tff(2063,plain,
% 48.99/31.64 (~m_memory_v_cmd(c_m, s4, c_response)),
% 48.99/31.64 inference(unit_resolution,[status(thm)],[2062, 2059, 2052])).
% 48.99/31.64 tff(2064,plain,
% 48.99/31.64 (node29(c_m, s4)),
% 48.99/31.64 inference(unit_resolution,[status(thm)],[1325, 1977])).
% 48.99/31.64 tff(2065,assumption,(~m_memory_v_busy(c_m, s4)), introduced(assumption)).
% 48.99/31.64 tff(2066,plain,
% 48.99/31.64 (^[I0: $i, X: $i] : refl((m_memory_v_busy(I0, X) | (~node29(I0, X))) <=> (m_memory_v_busy(I0, X) | (~node29(I0, X))))),
% 48.99/31.64 inference(bind,[status(th)],[])).
% 48.99/31.64 tff(2067,plain,
% 48.99/31.64 (![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))),
% 48.99/31.64 inference(quant_intro,[status(thm)],[2066])).
% 48.99/31.64 tff(2068,plain,
% 48.99/31.64 (![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))),
% 48.99/31.64 inference(rewrite,[status(thm)],[])).
% 48.99/31.64 tff(2069,axiom,(![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_70')).
% 48.99/31.64 tff(2070,plain,
% 48.99/31.64 (![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))),
% 48.99/31.64 inference(modus_ponens,[status(thm)],[2069, 2068])).
% 48.99/31.64 tff(2071,plain,(
% 48.99/31.64 ![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))),
% 48.99/31.64 inference(skolemize,[status(sab)],[2070])).
% 48.99/31.64 tff(2072,plain,
% 48.99/31.64 (![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))),
% 48.99/31.64 inference(modus_ponens,[status(thm)],[2071, 2067])).
% 48.99/31.64 tff(2073,plain,
% 48.99/31.64 (((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s4) | (~node29(c_m, s4)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | m_memory_v_busy(c_m, s4) | (~node29(c_m, s4)))),
% 48.99/31.64 inference(rewrite,[status(thm)],[])).
% 48.99/31.64 tff(2074,plain,
% 48.99/31.64 ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s4) | (~node29(c_m, s4)))),
% 48.99/31.64 inference(quant_inst,[status(thm)],[])).
% 48.99/31.64 tff(2075,plain,
% 48.99/31.64 ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | m_memory_v_busy(c_m, s4) | (~node29(c_m, s4))),
% 48.99/31.64 inference(modus_ponens,[status(thm)],[2074, 2073])).
% 48.99/31.64 tff(2076,plain,
% 48.99/31.64 ($false),
% 48.99/31.64 inference(unit_resolution,[status(thm)],[2075, 2072, 1298, 2065])).
% 48.99/31.64 tff(2077,plain,(m_memory_v_busy(c_m, s4) | (~node29(c_m, s4))), inference(lemma,lemma(discharge,[]))).
% 48.99/31.64 tff(2078,plain,
% 48.99/31.64 (m_memory_v_busy(c_m, s4)),
% 48.99/31.64 inference(unit_resolution,[status(thm)],[2077, 2064])).
% 48.99/31.64 tff(2079,plain,
% 48.99/31.64 (m_memory_v_master(c_m, s4)),
% 48.99/31.64 inference(unit_resolution,[status(thm)],[1310, 2064])).
% 48.99/31.64 tff(2080,plain,
% 48.99/31.64 (^[I0: $i, X: $i] : refl((m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X))) <=> (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X))))),
% 48.99/31.64 inference(bind,[status(th)],[])).
% 48.99/31.64 tff(2081,plain,
% 48.99/31.64 (![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))),
% 48.99/31.64 inference(quant_intro,[status(thm)],[2080])).
% 48.99/31.64 tff(2082,plain,
% 48.99/31.64 (![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))),
% 48.99/31.64 inference(rewrite,[status(thm)],[])).
% 48.99/31.64 tff(2083,plain,
% 48.99/31.64 (^[I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite((m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle)) <=> (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle))), (((m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle)) | (~m_memory_v_master(I0, X))) <=> ((m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle)) | (~m_memory_v_master(I0, X))))), rewrite(((m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle)) | (~m_memory_v_master(I0, X))) <=> (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_master(I0, X)))), (((m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle)) | (~m_memory_v_master(I0, X))) <=> (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_master(I0, X))))), ((((m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle)) | (~m_memory_v_master(I0, X))) | (~m_memory_v_busy(I0, X))) <=> ((m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_master(I0, X))) | (~m_memory_v_busy(I0, X))))), rewrite(((m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_master(I0, X))) | (~m_memory_v_busy(I0, X))) <=> (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))), ((((m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle)) | (~m_memory_v_master(I0, X))) | (~m_memory_v_busy(I0, X))) <=> (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))))),
% 48.99/31.64 inference(bind,[status(th)],[])).
% 48.99/31.64 tff(2084,plain,
% 48.99/31.64 (![I0: $i, X: $i] : (((m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle)) | (~m_memory_v_master(I0, X))) | (~m_memory_v_busy(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))),
% 48.99/31.64 inference(quant_intro,[status(thm)],[2083])).
% 48.99/31.64 tff(2085,axiom,(![I0: $i, X: $i] : (((m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle)) | (~m_memory_v_master(I0, X))) | (~m_memory_v_busy(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_71')).
% 48.99/31.64 tff(2086,plain,
% 48.99/31.64 (![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))),
% 48.99/31.64 inference(modus_ponens,[status(thm)],[2085, 2084])).
% 48.99/31.64 tff(2087,plain,
% 48.99/31.64 (![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))),
% 48.99/31.64 inference(modus_ponens,[status(thm)],[2086, 2082])).
% 48.99/31.64 tff(2088,plain,(
% 48.99/31.64 ![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))),
% 48.99/31.64 inference(skolemize,[status(sab)],[2087])).
% 48.99/31.64 tff(2089,plain,
% 48.99/31.64 (![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))),
% 48.99/31.64 inference(modus_ponens,[status(thm)],[2088, 2081])).
% 48.99/31.64 tff(2090,plain,
% 48.99/31.64 (((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s4, c_idle) | m_memory_v_cmd(c_m, s4, c_response) | (~m_memory_v_busy(c_m, s4)) | (~m_memory_v_master(c_m, s4)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | m_memory_v_cmd(c_m, s4, c_idle) | m_memory_v_cmd(c_m, s4, c_response) | (~m_memory_v_busy(c_m, s4)) | (~m_memory_v_master(c_m, s4)))),
% 48.99/31.64 inference(rewrite,[status(thm)],[])).
% 48.99/31.64 tff(2091,plain,
% 48.99/31.64 ((m_memory_v_cmd(c_m, s4, c_response) | m_memory_v_cmd(c_m, s4, c_idle) | (~m_memory_v_busy(c_m, s4)) | (~m_memory_v_master(c_m, s4))) <=> (m_memory_v_cmd(c_m, s4, c_idle) | m_memory_v_cmd(c_m, s4, c_response) | (~m_memory_v_busy(c_m, s4)) | (~m_memory_v_master(c_m, s4)))),
% 48.99/31.65 inference(rewrite,[status(thm)],[])).
% 48.99/31.65 tff(2092,plain,
% 48.99/31.65 (((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s4, c_response) | m_memory_v_cmd(c_m, s4, c_idle) | (~m_memory_v_busy(c_m, s4)) | (~m_memory_v_master(c_m, s4)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s4, c_idle) | m_memory_v_cmd(c_m, s4, c_response) | (~m_memory_v_busy(c_m, s4)) | (~m_memory_v_master(c_m, s4))))),
% 48.99/31.65 inference(monotonicity,[status(thm)],[2091])).
% 48.99/31.65 tff(2093,plain,
% 48.99/31.65 (((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s4, c_response) | m_memory_v_cmd(c_m, s4, c_idle) | (~m_memory_v_busy(c_m, s4)) | (~m_memory_v_master(c_m, s4)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | m_memory_v_cmd(c_m, s4, c_idle) | m_memory_v_cmd(c_m, s4, c_response) | (~m_memory_v_busy(c_m, s4)) | (~m_memory_v_master(c_m, s4)))),
% 48.99/31.65 inference(transitivity,[status(thm)],[2092, 2090])).
% 48.99/31.65 tff(2094,plain,
% 48.99/31.65 ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s4, c_response) | m_memory_v_cmd(c_m, s4, c_idle) | (~m_memory_v_busy(c_m, s4)) | (~m_memory_v_master(c_m, s4)))),
% 48.99/31.65 inference(quant_inst,[status(thm)],[])).
% 48.99/31.65 tff(2095,plain,
% 48.99/31.65 ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | m_memory_v_cmd(c_m, s4, c_idle) | m_memory_v_cmd(c_m, s4, c_response) | (~m_memory_v_busy(c_m, s4)) | (~m_memory_v_master(c_m, s4))),
% 48.99/31.65 inference(modus_ponens,[status(thm)],[2094, 2093])).
% 48.99/31.65 tff(2096,plain,
% 48.99/31.65 ($false),
% 48.99/31.65 inference(unit_resolution,[status(thm)],[2095, 2089, 1977, 2079, 2078, 2063])).
% 48.99/31.65 tff(2097,plain,((~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_main_v_CMD(s4, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle))), inference(lemma,lemma(discharge,[]))).
% 48.99/31.65 tff(2098,plain,
% 48.99/31.65 (~m_processor_v_cmd(c_p2, s4, c_idle)),
% 48.99/31.65 inference(unit_resolution,[status(thm)],[2097, 1792, 1684, 1620])).
% 48.99/31.65 tff(2099,plain,
% 48.99/31.65 (m_processor_v_master(c_p2, s4)),
% 48.99/31.65 inference(unit_resolution,[status(thm)],[1582, 2098])).
% 48.99/31.65 tff(2100,plain,
% 48.99/31.65 (^[X: $i] : refl(((~m_processor_v_master(c_p2, X)) | (~node17(X))) <=> ((~m_processor_v_master(c_p2, X)) | (~node17(X))))),
% 48.99/31.65 inference(bind,[status(th)],[])).
% 48.99/31.65 tff(2101,plain,
% 48.99/31.65 (![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X))) <=> ![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))),
% 48.99/31.65 inference(quant_intro,[status(thm)],[2100])).
% 48.99/31.65 tff(2102,plain,
% 48.99/31.65 (![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X))) <=> ![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))),
% 48.99/31.65 inference(rewrite,[status(thm)],[])).
% 48.99/31.65 tff(2103,axiom,(![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_124')).
% 48.99/31.65 tff(2104,plain,
% 48.99/31.65 (![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))),
% 48.99/31.65 inference(modus_ponens,[status(thm)],[2103, 2102])).
% 48.99/31.65 tff(2105,plain,(
% 48.99/31.65 ![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))),
% 48.99/31.65 inference(skolemize,[status(sab)],[2104])).
% 48.99/31.65 tff(2106,plain,
% 48.99/31.65 (![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))),
% 48.99/31.65 inference(modus_ponens,[status(thm)],[2105, 2101])).
% 48.99/31.65 tff(2107,plain,
% 48.99/31.65 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~node17(s4)) | (~m_processor_v_master(c_p2, s4)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s4)) | (~m_processor_v_master(c_p2, s4)))),
% 48.99/31.65 inference(rewrite,[status(thm)],[])).
% 48.99/31.65 tff(2108,plain,
% 48.99/31.65 (((~m_processor_v_master(c_p2, s4)) | (~node17(s4))) <=> ((~node17(s4)) | (~m_processor_v_master(c_p2, s4)))),
% 48.99/31.65 inference(rewrite,[status(thm)],[])).
% 48.99/31.65 tff(2109,plain,
% 48.99/31.65 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s4)) | (~node17(s4)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~node17(s4)) | (~m_processor_v_master(c_p2, s4))))),
% 48.99/31.65 inference(monotonicity,[status(thm)],[2108])).
% 48.99/31.65 tff(2110,plain,
% 48.99/31.65 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s4)) | (~node17(s4)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s4)) | (~m_processor_v_master(c_p2, s4)))),
% 48.99/31.65 inference(transitivity,[status(thm)],[2109, 2107])).
% 48.99/31.65 tff(2111,plain,
% 48.99/31.65 ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s4)) | (~node17(s4)))),
% 48.99/31.65 inference(quant_inst,[status(thm)],[])).
% 48.99/31.65 tff(2112,plain,
% 48.99/31.65 ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s4)) | (~m_processor_v_master(c_p2, s4))),
% 48.99/31.65 inference(modus_ponens,[status(thm)],[2111, 2110])).
% 48.99/31.65 tff(2113,plain,
% 48.99/31.65 ($false),
% 48.99/31.65 inference(unit_resolution,[status(thm)],[2112, 2106, 1538, 1267])).
% 48.99/31.65 tff(2114,plain,((~m_processor_v_master(c_p2, s4)) | (~node17(s4))), inference(lemma,lemma(discharge,[]))).
% 48.99/31.65 tff(2115,plain,
% 48.99/31.65 (~node17(s4)),
% 48.99/31.65 inference(unit_resolution,[status(thm)],[2114, 2099])).
% 48.99/31.65 tff(2116,plain,
% 48.99/31.65 (~m_memory_v_master(c_m, s4)),
% 48.99/31.65 inference(unit_resolution,[status(thm)],[1295, 2115])).
% 48.99/31.65 tff(2117,plain,
% 48.99/31.65 (~node29(c_m, s4)),
% 48.99/31.65 inference(unit_resolution,[status(thm)],[1310, 2116])).
% 48.99/31.65 tff(2118,plain,
% 48.99/31.65 (m_memory_v_cmd(c_m, s4, c_idle)),
% 48.99/31.65 inference(unit_resolution,[status(thm)],[1325, 2117])).
% 48.99/31.65 tff(2119,plain,
% 48.99/31.65 (^[V: $i, X: $i] : refl((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X))) <=> (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X))))),
% 48.99/31.65 inference(bind,[status(th)],[])).
% 48.99/31.65 tff(2120,plain,
% 48.99/31.65 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))),
% 48.99/31.65 inference(quant_intro,[status(thm)],[2119])).
% 48.99/31.65 tff(2121,plain,
% 48.99/31.65 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))),
% 48.99/31.65 inference(rewrite,[status(thm)],[])).
% 48.99/31.65 tff(2122,plain,
% 48.99/31.65 (^[V: $i, X: $i] : trans(monotonicity(rewrite((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V))) <=> (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)))), (((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V))) | (~node12(X))) <=> ((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V))) | (~node12(X))))), rewrite(((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V))) | (~node12(X))) <=> (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))), (((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V))) | (~node12(X))) <=> (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))))),
% 48.99/31.65 inference(bind,[status(th)],[])).
% 48.99/31.65 tff(2123,plain,
% 48.99/31.65 (![V: $i, X: $i] : ((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V))) | (~node12(X))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))),
% 48.99/31.65 inference(quant_intro,[status(thm)],[2122])).
% 48.99/31.65 tff(2124,axiom,(![V: $i, X: $i] : ((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V))) | (~node12(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_100')).
% 48.99/31.65 tff(2125,plain,
% 48.99/31.65 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))),
% 48.99/31.65 inference(modus_ponens,[status(thm)],[2124, 2123])).
% 48.99/31.65 tff(2126,plain,
% 48.99/31.65 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))),
% 48.99/31.65 inference(modus_ponens,[status(thm)],[2125, 2121])).
% 48.99/31.65 tff(2127,plain,(
% 48.99/31.65 ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))),
% 48.99/31.65 inference(skolemize,[status(sab)],[2126])).
% 48.99/31.65 tff(2128,plain,
% 48.99/31.65 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))),
% 48.99/31.65 inference(modus_ponens,[status(thm)],[2127, 2120])).
% 48.99/31.65 tff(2129,plain,
% 48.99/31.65 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | ((~m_processor_v_cmd(c_p0, s4, c_idle)) | m_main_v_CMD(s4, c_idle) | (~node12(s4)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | m_main_v_CMD(s4, c_idle) | (~node12(s4)))),
% 48.99/31.65 inference(rewrite,[status(thm)],[])).
% 48.99/31.65 tff(2130,plain,
% 48.99/31.65 ((m_main_v_CMD(s4, c_idle) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | (~node12(s4))) <=> ((~m_processor_v_cmd(c_p0, s4, c_idle)) | m_main_v_CMD(s4, c_idle) | (~node12(s4)))),
% 48.99/31.65 inference(rewrite,[status(thm)],[])).
% 48.99/31.65 tff(2131,plain,
% 48.99/31.65 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s4, c_idle) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | (~node12(s4)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | ((~m_processor_v_cmd(c_p0, s4, c_idle)) | m_main_v_CMD(s4, c_idle) | (~node12(s4))))),
% 48.99/31.65 inference(monotonicity,[status(thm)],[2130])).
% 48.99/31.65 tff(2132,plain,
% 48.99/31.65 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s4, c_idle) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | (~node12(s4)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | m_main_v_CMD(s4, c_idle) | (~node12(s4)))),
% 48.99/31.65 inference(transitivity,[status(thm)],[2131, 2129])).
% 48.99/31.65 tff(2133,plain,
% 48.99/31.65 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s4, c_idle) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | (~node12(s4)))),
% 48.99/31.65 inference(quant_inst,[status(thm)],[])).
% 48.99/31.65 tff(2134,plain,
% 48.99/31.65 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | m_main_v_CMD(s4, c_idle) | (~node12(s4))),
% 48.99/31.65 inference(modus_ponens,[status(thm)],[2133, 2132])).
% 48.99/31.65 tff(2135,plain,
% 48.99/31.65 ((~m_processor_v_cmd(c_p0, s4, c_idle)) | (~node12(s4))),
% 48.99/31.65 inference(unit_resolution,[status(thm)],[2134, 2128, 1975])).
% 48.99/31.65 tff(2136,plain,
% 48.99/31.65 (~node12(s4)),
% 48.99/31.65 inference(unit_resolution,[status(thm)],[2135, 1792])).
% 48.99/31.65 tff(2137,plain,
% 48.99/31.65 (^[X: $i] : refl(((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle)) <=> ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle)))),
% 48.99/31.65 inference(bind,[status(th)],[])).
% 48.99/31.65 tff(2138,plain,
% 48.99/31.65 (![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle)) <=> ![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))),
% 48.99/31.65 inference(quant_intro,[status(thm)],[2137])).
% 48.99/31.65 tff(2139,plain,
% 48.99/31.65 (![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle)) <=> ![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))),
% 48.99/31.65 inference(rewrite,[status(thm)],[])).
% 48.99/31.65 tff(2140,plain,
% 48.99/31.65 (^[X: $i] : rewrite((m_processor_v_cmd(c_p2, X, c_idle) | (~node9(X))) <=> ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle)))),
% 48.99/31.65 inference(bind,[status(th)],[])).
% 48.99/31.65 tff(2141,plain,
% 48.99/31.65 (![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node9(X))) <=> ![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))),
% 48.99/31.65 inference(quant_intro,[status(thm)],[2140])).
% 48.99/31.65 tff(2142,axiom,(![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node9(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_93')).
% 48.99/31.65 tff(2143,plain,
% 48.99/31.65 (![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))),
% 48.99/31.65 inference(modus_ponens,[status(thm)],[2142, 2141])).
% 48.99/31.65 tff(2144,plain,
% 48.99/31.65 (![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))),
% 48.99/31.65 inference(modus_ponens,[status(thm)],[2143, 2139])).
% 48.99/31.65 tff(2145,plain,(
% 48.99/31.65 ![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))),
% 48.99/31.65 inference(skolemize,[status(sab)],[2144])).
% 48.99/31.65 tff(2146,plain,
% 48.99/31.65 (![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))),
% 48.99/31.65 inference(modus_ponens,[status(thm)],[2145, 2138])).
% 48.99/31.65 tff(2147,plain,
% 48.99/31.65 (((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | ((~node9(s4)) | m_processor_v_cmd(c_p2, s4, c_idle))) <=> ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | (~node9(s4)) | m_processor_v_cmd(c_p2, s4, c_idle))),
% 48.99/31.65 inference(rewrite,[status(thm)],[])).
% 48.99/31.65 tff(2148,plain,
% 48.99/31.65 ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | ((~node9(s4)) | m_processor_v_cmd(c_p2, s4, c_idle))),
% 48.99/31.65 inference(quant_inst,[status(thm)],[])).
% 48.99/31.65 tff(2149,plain,
% 48.99/31.65 ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | (~node9(s4)) | m_processor_v_cmd(c_p2, s4, c_idle)),
% 48.99/31.65 inference(modus_ponens,[status(thm)],[2148, 2147])).
% 48.99/31.65 tff(2150,plain,
% 48.99/31.65 (~node9(s4)),
% 48.99/31.65 inference(unit_resolution,[status(thm)],[2149, 2146, 2098])).
% 48.99/31.65 tff(2151,plain,
% 48.99/31.65 (^[X: $i] : refl((m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X))) <=> (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X))))),
% 48.99/31.65 inference(bind,[status(th)],[])).
% 48.99/31.65 tff(2152,plain,
% 48.99/31.65 (![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X))) <=> ![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))),
% 48.99/31.65 inference(quant_intro,[status(thm)],[2151])).
% 48.99/31.65 tff(2153,plain,
% 48.99/31.65 (![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X))) <=> ![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))),
% 48.99/31.65 inference(rewrite,[status(thm)],[])).
% 48.99/31.65 tff(2154,axiom,(![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_98')).
% 48.99/31.65 tff(2155,plain,
% 48.99/31.65 (![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))),
% 48.99/31.65 inference(modus_ponens,[status(thm)],[2154, 2153])).
% 48.99/31.65 tff(2156,plain,(
% 48.99/31.65 ![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))),
% 48.99/31.65 inference(skolemize,[status(sab)],[2155])).
% 48.99/31.65 tff(2157,plain,
% 48.99/31.65 (![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))),
% 48.99/31.65 inference(modus_ponens,[status(thm)],[2156, 2152])).
% 48.99/31.65 tff(2158,plain,
% 48.99/31.65 (((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (m_processor_v_cmd(c_p2, s4, c_idle) | (~node11(s4)))) <=> ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | m_processor_v_cmd(c_p2, s4, c_idle) | (~node11(s4)))),
% 48.99/31.65 inference(rewrite,[status(thm)],[])).
% 48.99/31.65 tff(2159,plain,
% 48.99/31.65 ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (m_processor_v_cmd(c_p2, s4, c_idle) | (~node11(s4)))),
% 48.99/31.65 inference(quant_inst,[status(thm)],[])).
% 48.99/31.65 tff(2160,plain,
% 48.99/31.65 ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | m_processor_v_cmd(c_p2, s4, c_idle) | (~node11(s4))),
% 48.99/31.65 inference(modus_ponens,[status(thm)],[2159, 2158])).
% 48.99/31.65 tff(2161,plain,
% 48.99/31.65 (~node11(s4)),
% 48.99/31.65 inference(unit_resolution,[status(thm)],[2160, 2157, 2098])).
% 48.99/31.65 tff(2162,plain,
% 48.99/31.65 (^[X: $i] : refl((node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))))),
% 48.99/31.65 inference(bind,[status(th)],[])).
% 48.99/31.65 tff(2163,plain,
% 48.99/31.65 (![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> ![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 48.99/31.65 inference(quant_intro,[status(thm)],[2162])).
% 48.99/31.65 tff(2164,plain,
% 48.99/31.65 (![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> ![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 48.99/31.65 inference(rewrite,[status(thm)],[])).
% 48.99/31.65 tff(2165,plain,
% 48.99/31.65 (^[X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((node9(X) | node11(X)) <=> (node9(X) | node11(X))), (((node9(X) | node11(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> ((node9(X) | node11(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))))), rewrite(((node9(X) | node11(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> (node9(X) | node11(X) | (~m_processor_v_cmd(c_p0, X, c_idle)))), (((node9(X) | node11(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> (node9(X) | node11(X) | (~m_processor_v_cmd(c_p0, X, c_idle))))), ((((node9(X) | node11(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) <=> ((node9(X) | node11(X) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))))), rewrite(((node9(X) | node11(X) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) <=> (node9(X) | node11(X) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))), ((((node9(X) | node11(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) <=> (node9(X) | node11(X) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))))), (((((node9(X) | node11(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) <=> ((node9(X) | node11(X) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))))), rewrite(((node9(X) | node11(X) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) <=> (node9(X) | node11(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))), (((((node9(X) | node11(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) <=> (node9(X) | node11(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))))), ((((((node9(X) | node11(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) | node12(X)) <=> ((node9(X) | node11(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | node12(X)))), rewrite(((node9(X) | node11(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | node12(X)) <=> (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))), ((((((node9(X) | node11(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) | node12(X)) <=> (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))))),
% 48.99/31.65 inference(bind,[status(th)],[])).
% 48.99/31.65 tff(2166,plain,
% 48.99/31.65 (![X: $i] : (((((node9(X) | node11(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) | node12(X)) <=> ![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 48.99/31.65 inference(quant_intro,[status(thm)],[2165])).
% 48.99/31.65 tff(2167,axiom,(![X: $i] : (((((node9(X) | node11(X)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p1, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) | node12(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_112')).
% 48.99/31.65 tff(2168,plain,
% 48.99/31.65 (![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 48.99/31.65 inference(modus_ponens,[status(thm)],[2167, 2166])).
% 48.99/31.65 tff(2169,plain,
% 48.99/31.65 (![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 48.99/31.65 inference(modus_ponens,[status(thm)],[2168, 2164])).
% 48.99/31.65 tff(2170,plain,(
% 48.99/31.65 ![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 48.99/31.65 inference(skolemize,[status(sab)],[2169])).
% 48.99/31.65 tff(2171,plain,
% 48.99/31.65 (![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 48.99/31.65 inference(modus_ponens,[status(thm)],[2170, 2163])).
% 48.99/31.65 tff(2172,plain,
% 48.99/31.65 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s4) | node11(s4) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | node12(s4) | (~m_memory_v_cmd(c_m, s4, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s4) | node11(s4) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | node12(s4) | (~m_memory_v_cmd(c_m, s4, c_idle)))),
% 48.99/31.65 inference(rewrite,[status(thm)],[])).
% 48.99/31.65 tff(2173,plain,
% 48.99/31.65 ((node9(s4) | node11(s4) | node12(s4) | (~m_memory_v_cmd(c_m, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle))) <=> (node9(s4) | node11(s4) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | node12(s4) | (~m_memory_v_cmd(c_m, s4, c_idle)))),
% 48.99/31.65 inference(rewrite,[status(thm)],[])).
% 48.99/31.65 tff(2174,plain,
% 48.99/31.65 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s4) | node11(s4) | node12(s4) | (~m_memory_v_cmd(c_m, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s4) | node11(s4) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | node12(s4) | (~m_memory_v_cmd(c_m, s4, c_idle))))),
% 48.99/31.65 inference(monotonicity,[status(thm)],[2173])).
% 48.99/31.65 tff(2175,plain,
% 48.99/31.65 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s4) | node11(s4) | node12(s4) | (~m_memory_v_cmd(c_m, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s4) | node11(s4) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | node12(s4) | (~m_memory_v_cmd(c_m, s4, c_idle)))),
% 48.99/31.65 inference(transitivity,[status(thm)],[2174, 2172])).
% 48.99/31.65 tff(2176,plain,
% 48.99/31.65 ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s4) | node11(s4) | node12(s4) | (~m_memory_v_cmd(c_m, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle)))),
% 48.99/31.65 inference(quant_inst,[status(thm)],[])).
% 48.99/31.65 tff(2177,plain,
% 48.99/31.65 ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s4) | node11(s4) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | node12(s4) | (~m_memory_v_cmd(c_m, s4, c_idle))),
% 48.99/31.65 inference(modus_ponens,[status(thm)],[2176, 2175])).
% 48.99/31.65 tff(2178,plain,
% 48.99/31.65 (node9(s4) | node11(s4) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | node12(s4) | (~m_memory_v_cmd(c_m, s4, c_idle))),
% 48.99/31.65 inference(unit_resolution,[status(thm)],[2177, 2171, 1620])).
% 48.99/31.65 tff(2179,plain,
% 48.99/31.65 ($false),
% 48.99/31.65 inference(unit_resolution,[status(thm)],[2178, 2161, 2150, 1792, 2136, 2118])).
% 48.99/31.65 tff(2180,plain,((~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_main_v_CMD(s4, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 48.99/31.65 tff(2181,plain,
% 48.99/31.65 (~m_processor_v_cmd(c_p0, s4, c_idle)),
% 48.99/31.65 inference(unit_resolution,[status(thm)],[2180, 1683, 1620])).
% 48.99/31.65 tff(2182,plain,
% 48.99/31.65 (^[V: $i, X: $i] : refl(((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V)) <=> ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V)))),
% 48.99/31.65 inference(bind,[status(th)],[])).
% 48.99/31.65 tff(2183,plain,
% 48.99/31.65 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V)) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))),
% 48.99/31.65 inference(quant_intro,[status(thm)],[2182])).
% 48.99/31.65 tff(2184,plain,
% 48.99/31.65 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V)) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))),
% 48.99/31.65 inference(rewrite,[status(thm)],[])).
% 48.99/31.65 tff(2185,plain,
% 48.99/31.65 (^[V: $i, X: $i] : rewrite((((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V)) | (~node8(X))) <=> ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V)))),
% 48.99/31.65 inference(bind,[status(th)],[])).
% 48.99/31.65 tff(2186,plain,
% 48.99/31.65 (![V: $i, X: $i] : (((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V)) | (~node8(X))) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))),
% 48.99/31.65 inference(quant_intro,[status(thm)],[2185])).
% 48.99/31.65 tff(2187,axiom,(![V: $i, X: $i] : (((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V)) | (~node8(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_91')).
% 48.99/31.65 tff(2188,plain,
% 48.99/31.65 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))),
% 48.99/31.65 inference(modus_ponens,[status(thm)],[2187, 2186])).
% 48.99/31.65 tff(2189,plain,
% 48.99/31.65 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))),
% 48.99/31.65 inference(modus_ponens,[status(thm)],[2188, 2184])).
% 48.99/31.65 tff(2190,plain,(
% 48.99/31.65 ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))),
% 48.99/31.65 inference(skolemize,[status(sab)],[2189])).
% 48.99/31.65 tff(2191,plain,
% 48.99/31.65 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))),
% 48.99/31.65 inference(modus_ponens,[status(thm)],[2190, 2183])).
% 48.99/31.65 tff(2192,plain,
% 48.99/31.65 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s4, c_idle) | (~m_main_v_CMD(s4, c_idle)) | (~node8(s4)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s4, c_idle) | (~m_main_v_CMD(s4, c_idle)) | (~node8(s4)))),
% 48.99/31.65 inference(rewrite,[status(thm)],[])).
% 48.99/31.65 tff(2193,plain,
% 48.99/31.65 (((~m_main_v_CMD(s4, c_idle)) | (~node8(s4)) | m_processor_v_cmd(c_p0, s4, c_idle)) <=> (m_processor_v_cmd(c_p0, s4, c_idle) | (~m_main_v_CMD(s4, c_idle)) | (~node8(s4)))),
% 48.99/31.65 inference(rewrite,[status(thm)],[])).
% 48.99/31.65 tff(2194,plain,
% 48.99/31.65 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s4, c_idle)) | (~node8(s4)) | m_processor_v_cmd(c_p0, s4, c_idle))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s4, c_idle) | (~m_main_v_CMD(s4, c_idle)) | (~node8(s4))))),
% 48.99/31.65 inference(monotonicity,[status(thm)],[2193])).
% 48.99/31.65 tff(2195,plain,
% 48.99/31.65 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s4, c_idle)) | (~node8(s4)) | m_processor_v_cmd(c_p0, s4, c_idle))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s4, c_idle) | (~m_main_v_CMD(s4, c_idle)) | (~node8(s4)))),
% 49.05/31.66 inference(transitivity,[status(thm)],[2194, 2192])).
% 49.05/31.66 tff(2196,plain,
% 49.05/31.66 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s4, c_idle)) | (~node8(s4)) | m_processor_v_cmd(c_p0, s4, c_idle))),
% 49.05/31.66 inference(quant_inst,[status(thm)],[])).
% 49.05/31.66 tff(2197,plain,
% 49.05/31.66 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s4, c_idle) | (~m_main_v_CMD(s4, c_idle)) | (~node8(s4))),
% 49.05/31.66 inference(modus_ponens,[status(thm)],[2196, 2195])).
% 49.05/31.66 tff(2198,plain,
% 49.05/31.66 ($false),
% 49.05/31.66 inference(unit_resolution,[status(thm)],[2197, 2191, 2181, 1744, 1963])).
% 49.05/31.66 tff(2199,plain,((~m_processor_v_state(c_p0, s4, c_shared)) | (~node8(s4)) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_state(c_p0, s4, c_owned) | m_main_v_CMD(s4, c_read_h_shared) | (~node60(c_p1, s4)) | m_processor_v_waiting(c_p0, s5) | (~m_processor_v_cmd(c_p1, s4, c_idle))), inference(lemma,lemma(discharge,[]))).
% 49.05/31.66 tff(2200,plain,
% 49.05/31.66 (~m_processor_v_state(c_p0, s4, c_shared)),
% 49.05/31.66 inference(unit_resolution,[status(thm)],[2199, 1600, 1193, 1192, 1518, 1431, 54, 1237])).
% 49.05/31.66 tff(2201,plain,
% 49.05/31.66 (m_processor_v_state(c_p0, s4, c_invalid)),
% 49.05/31.66 inference(unit_resolution,[status(thm)],[1101, 2200, 54])).
% 49.05/31.66 tff(2202,plain,
% 49.05/31.66 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p0, s5, c_shared) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s5, c_shared) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)))),
% 49.05/31.66 inference(rewrite,[status(thm)],[])).
% 49.05/31.66 tff(2203,plain,
% 49.05/31.66 (((~node34(c_p0, s4, s5)) | m_processor_v_state(c_p0, s5, c_shared) | (~m_processor_v_CMD(c_p0, s4, c_read_h_shared))) <=> (m_processor_v_state(c_p0, s5, c_shared) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)))),
% 49.05/31.66 inference(rewrite,[status(thm)],[])).
% 49.05/31.66 tff(2204,plain,
% 49.05/31.66 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s4, s5)) | m_processor_v_state(c_p0, s5, c_shared) | (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p0, s5, c_shared) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_read_h_shared))))),
% 49.05/31.66 inference(monotonicity,[status(thm)],[2203])).
% 49.05/31.66 tff(2205,plain,
% 49.05/31.66 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s4, s5)) | m_processor_v_state(c_p0, s5, c_shared) | (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s5, c_shared) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)))),
% 49.05/31.66 inference(transitivity,[status(thm)],[2204, 2202])).
% 49.05/31.66 tff(2206,plain,
% 49.05/31.66 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s4, s5)) | m_processor_v_state(c_p0, s5, c_shared) | (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)))),
% 49.05/31.66 inference(quant_inst,[status(thm)],[])).
% 49.05/31.66 tff(2207,plain,
% 49.05/31.66 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s5, c_shared) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_read_h_shared))),
% 49.05/31.66 inference(modus_ponens,[status(thm)],[2206, 2205])).
% 49.05/31.66 tff(2208,plain,
% 49.05/31.66 (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)),
% 49.05/31.66 inference(unit_resolution,[status(thm)],[2207, 416, 953, 1854])).
% 49.05/31.66 tff(2209,plain,
% 49.05/31.66 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_state(c_p0, s5, c_invalid) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_state(c_p0, s5, c_invalid) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_invalid)))),
% 49.05/31.66 inference(rewrite,[status(thm)],[])).
% 49.05/31.66 tff(2210,plain,
% 49.05/31.66 (((~node34(c_p0, s4, s5)) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_state(c_p0, s5, c_invalid) | (~m_processor_v_CMD(c_p0, s4, c_write_h_invalid))) <=> (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_state(c_p0, s5, c_invalid) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_invalid)))),
% 49.05/31.66 inference(rewrite,[status(thm)],[])).
% 49.05/31.66 tff(2211,plain,
% 49.05/31.66 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s4, s5)) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_state(c_p0, s5, c_invalid) | (~m_processor_v_CMD(c_p0, s4, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_state(c_p0, s5, c_invalid) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_invalid))))),
% 49.05/31.66 inference(monotonicity,[status(thm)],[2210])).
% 49.05/31.66 tff(2212,plain,
% 49.05/31.66 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s4, s5)) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_state(c_p0, s5, c_invalid) | (~m_processor_v_CMD(c_p0, s4, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_state(c_p0, s5, c_invalid) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_invalid)))),
% 49.05/31.66 inference(transitivity,[status(thm)],[2211, 2209])).
% 49.05/31.66 tff(2213,plain,
% 49.05/31.66 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s4, s5)) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_state(c_p0, s5, c_invalid) | (~m_processor_v_CMD(c_p0, s4, c_write_h_invalid)))),
% 49.05/31.66 inference(quant_inst,[status(thm)],[])).
% 49.05/31.66 tff(2214,plain,
% 49.05/31.66 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_state(c_p0, s5, c_invalid) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_invalid))),
% 49.05/31.66 inference(modus_ponens,[status(thm)],[2213, 2212])).
% 49.05/31.66 tff(2215,plain,
% 49.05/31.66 (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s4, c_write_h_invalid))),
% 49.05/31.66 inference(unit_resolution,[status(thm)],[2214, 512, 814, 1854, 1160])).
% 49.05/31.66 tff(2216,plain,
% 49.05/31.66 (~m_processor_v_CMD(c_p0, s4, c_write_h_invalid)),
% 49.05/31.66 inference(unit_resolution,[status(thm)],[2215, 2208])).
% 49.05/31.66 tff(2217,plain,
% 49.05/31.66 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_state(c_p0, s5, c_invalid) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_state(c_p0, s5, c_invalid) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)))),
% 49.05/31.66 inference(rewrite,[status(thm)],[])).
% 49.05/31.66 tff(2218,plain,
% 49.05/31.66 (((~node34(c_p0, s4, s5)) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_state(c_p0, s5, c_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid))) <=> (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_state(c_p0, s5, c_invalid) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)))),
% 49.05/31.66 inference(rewrite,[status(thm)],[])).
% 49.05/31.66 tff(2219,plain,
% 49.05/31.66 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s4, s5)) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_state(c_p0, s5, c_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_state(c_p0, s5, c_invalid) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid))))),
% 49.05/31.66 inference(monotonicity,[status(thm)],[2218])).
% 49.05/31.66 tff(2220,plain,
% 49.05/31.66 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s4, s5)) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_state(c_p0, s5, c_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_state(c_p0, s5, c_invalid) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)))),
% 49.05/31.66 inference(transitivity,[status(thm)],[2219, 2217])).
% 49.05/31.66 tff(2221,plain,
% 49.05/31.66 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s4, s5)) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_state(c_p0, s5, c_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)))),
% 49.05/31.66 inference(quant_inst,[status(thm)],[])).
% 49.05/31.66 tff(2222,plain,
% 49.05/31.66 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_state(c_p0, s5, c_invalid) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid))),
% 49.05/31.66 inference(modus_ponens,[status(thm)],[2221, 2220])).
% 49.05/31.66 tff(2223,plain,
% 49.05/31.66 (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid))),
% 49.05/31.66 inference(unit_resolution,[status(thm)],[2222, 438, 814, 1854, 1160])).
% 49.05/31.66 tff(2224,plain,
% 49.05/31.66 (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)),
% 49.05/31.66 inference(unit_resolution,[status(thm)],[2223, 2216, 2208])).
% 49.05/31.66 tff(2225,plain,
% 49.05/31.66 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_state(c_p0, s5, c_shared) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_state(c_p0, s5, c_shared) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_shared)))),
% 49.05/31.66 inference(rewrite,[status(thm)],[])).
% 49.05/31.66 tff(2226,plain,
% 49.05/31.66 (((~node34(c_p0, s4, s5)) | m_processor_v_state(c_p0, s5, c_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s4, c_write_h_shared))) <=> (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_state(c_p0, s5, c_shared) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_shared)))),
% 49.05/31.66 inference(rewrite,[status(thm)],[])).
% 49.05/31.66 tff(2227,plain,
% 49.05/31.66 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s4, s5)) | m_processor_v_state(c_p0, s5, c_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s4, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_state(c_p0, s5, c_shared) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_shared))))),
% 49.05/31.66 inference(monotonicity,[status(thm)],[2226])).
% 49.05/31.66 tff(2228,plain,
% 49.05/31.66 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s4, s5)) | m_processor_v_state(c_p0, s5, c_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s4, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_state(c_p0, s5, c_shared) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_shared)))),
% 49.05/31.66 inference(transitivity,[status(thm)],[2227, 2225])).
% 49.05/31.66 tff(2229,plain,
% 49.05/31.66 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s4, s5)) | m_processor_v_state(c_p0, s5, c_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s4, c_write_h_shared)))),
% 49.05/31.66 inference(quant_inst,[status(thm)],[])).
% 49.05/31.66 tff(2230,plain,
% 49.05/31.66 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_state(c_p0, s5, c_shared) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_shared))),
% 49.05/31.66 inference(modus_ponens,[status(thm)],[2229, 2228])).
% 49.05/31.66 tff(2231,plain,
% 49.05/31.66 (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s4, c_write_h_shared))),
% 49.05/31.66 inference(unit_resolution,[status(thm)],[2230, 456, 953, 1854, 1160])).
% 49.05/31.66 tff(2232,plain,
% 49.05/31.66 (~m_processor_v_CMD(c_p0, s4, c_write_h_shared)),
% 49.05/31.66 inference(unit_resolution,[status(thm)],[2231, 2224, 2208, 2216])).
% 49.05/31.66 tff(2233,plain,
% 49.05/31.66 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s4, c_invalid)) | m_processor_v_state(c_p0, s5, c_invalid) | (~node33(c_p0, s4, s5)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s4, c_invalid)) | m_processor_v_state(c_p0, s5, c_invalid) | (~node33(c_p0, s4, s5)))),
% 49.05/31.66 inference(rewrite,[status(thm)],[])).
% 49.05/31.66 tff(2234,plain,
% 49.05/31.66 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s4, c_invalid)) | m_processor_v_state(c_p0, s5, c_invalid) | (~node33(c_p0, s4, s5)))),
% 49.05/31.66 inference(quant_inst,[status(thm)],[])).
% 49.05/31.66 tff(2235,plain,
% 49.05/31.66 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s4, c_invalid)) | m_processor_v_state(c_p0, s5, c_invalid) | (~node33(c_p0, s4, s5))),
% 49.05/31.66 inference(modus_ponens,[status(thm)],[2234, 2233])).
% 49.05/31.66 tff(2236,plain,
% 49.05/31.66 (~node33(c_p0, s4, s5)),
% 49.05/31.66 inference(unit_resolution,[status(thm)],[2235, 399, 1085, 814])).
% 49.05/31.66 tff(2237,plain,
% 49.05/31.66 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_shared) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | (~node34(c_p0, s4, s5)) | node33(c_p0, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_shared) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | (~node34(c_p0, s4, s5)) | node33(c_p0, s4, s5))),
% 49.05/31.66 inference(rewrite,[status(thm)],[])).
% 49.05/31.66 tff(2238,plain,
% 49.05/31.66 ((node33(c_p0, s4, s5) | (~node34(c_p0, s4, s5)) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_shared) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_shared) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | (~node34(c_p0, s4, s5)) | node33(c_p0, s4, s5))),
% 49.05/31.67 inference(rewrite,[status(thm)],[])).
% 49.05/31.67 tff(2239,plain,
% 49.05/31.67 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s4, s5) | (~node34(c_p0, s4, s5)) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_shared) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_shared) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | (~node34(c_p0, s4, s5)) | node33(c_p0, s4, s5)))),
% 49.05/31.67 inference(monotonicity,[status(thm)],[2238])).
% 49.05/31.67 tff(2240,plain,
% 49.05/31.67 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s4, s5) | (~node34(c_p0, s4, s5)) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_shared) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_shared) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | (~node34(c_p0, s4, s5)) | node33(c_p0, s4, s5))),
% 49.05/31.67 inference(transitivity,[status(thm)],[2239, 2237])).
% 49.05/31.67 tff(2241,plain,
% 49.05/31.67 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s4, s5) | (~node34(c_p0, s4, s5)) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_shared) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared))),
% 49.05/31.67 inference(quant_inst,[status(thm)],[])).
% 49.05/31.67 tff(2242,plain,
% 49.05/31.67 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_shared) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | (~node34(c_p0, s4, s5)) | node33(c_p0, s4, s5)),
% 49.05/31.67 inference(modus_ponens,[status(thm)],[2241, 2240])).
% 49.05/31.67 tff(2243,plain,
% 49.05/31.67 (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_write_h_shared) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid)),
% 49.05/31.67 inference(unit_resolution,[status(thm)],[2242, 474, 1854, 1160, 2236])).
% 49.05/31.67 tff(2244,plain,
% 49.05/31.67 (m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)),
% 49.05/31.67 inference(unit_resolution,[status(thm)],[2243, 2232, 2208, 2224, 2216])).
% 49.05/31.67 tff(2245,plain,
% 49.05/31.67 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_shared) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_state(c_p0, s5, c_shared) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_shared) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_state(c_p0, s5, c_shared) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)))),
% 49.05/31.67 inference(rewrite,[status(thm)],[])).
% 49.05/31.67 tff(2246,plain,
% 49.05/31.67 (((~node34(c_p0, s4, s5)) | m_processor_v_state(c_p0, s5, c_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared))) <=> (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_shared) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_state(c_p0, s5, c_shared) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)))),
% 49.05/31.67 inference(rewrite,[status(thm)],[])).
% 49.05/31.67 tff(2247,plain,
% 49.05/31.67 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s4, s5)) | m_processor_v_state(c_p0, s5, c_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_shared) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_state(c_p0, s5, c_shared) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared))))),
% 49.05/31.67 inference(monotonicity,[status(thm)],[2246])).
% 49.05/31.67 tff(2248,plain,
% 49.05/31.67 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s4, s5)) | m_processor_v_state(c_p0, s5, c_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_shared) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_state(c_p0, s5, c_shared) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)))),
% 49.05/31.67 inference(transitivity,[status(thm)],[2247, 2245])).
% 49.05/31.67 tff(2249,plain,
% 49.05/31.67 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s4, s5)) | m_processor_v_state(c_p0, s5, c_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)))),
% 49.05/31.67 inference(quant_inst,[status(thm)],[])).
% 49.05/31.67 tff(2250,plain,
% 49.05/31.67 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_CMD(c_p0, s4, c_write_h_shared) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | m_processor_v_state(c_p0, s5, c_shared) | (~node34(c_p0, s4, s5)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared))),
% 49.05/31.67 inference(modus_ponens,[status(thm)],[2249, 2248])).
% 49.05/31.67 tff(2251,plain,
% 49.05/31.67 (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_write_h_shared) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s4, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared))),
% 49.05/31.67 inference(unit_resolution,[status(thm)],[2250, 492, 953, 1854, 1160])).
% 49.05/31.67 tff(2252,plain,
% 49.05/31.67 ($false),
% 49.05/31.67 inference(unit_resolution,[status(thm)],[2251, 2244, 2232, 2208, 2224, 2216])).
% 49.05/31.67 tff(2253,plain,((~node34(c_p0, s4, s5)) | m_processor_v_state(c_p0, s5, c_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_state(c_p0, s5, c_invalid) | (~m_processor_v_state(c_p0, s4, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 49.05/31.67 tff(2254,plain,
% 49.05/31.67 ($false),
% 49.05/31.67 inference(unit_resolution,[status(thm)],[2253, 2201, 1346, 1073, 1069, 1334])).
% 49.05/31.67 tff(2255,plain,(m_processor_v_state(c_p0, s4, c_owned) | m_processor_v_waiting(c_p0, s5) | (~m_memory_v_cmd(c_m, s4, c_idle)) | node61(c_p1, s4) | (~m_processor_v_state(c_p0, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 49.05/31.67 tff(2256,plain,
% 49.05/31.67 (node61(c_p1, s4)),
% 49.05/31.67 inference(unit_resolution,[status(thm)],[2255, 1326, 1193, 54, 1060])).
% 49.05/31.67 tff(2257,assumption,(node61(c_p1, s4)), introduced(assumption)).
% 49.05/31.67 tff(2258,assumption,(~m_processor_v_CMD(c_p1, s4, c_read_h_shared)), introduced(assumption)).
% 49.05/31.67 tff(2259,plain,
% 49.05/31.67 (^[I0: $i, X: $i] : refl((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X))))),
% 49.05/31.67 inference(bind,[status(th)],[])).
% 49.05/31.67 tff(2260,plain,
% 49.05/31.67 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))),
% 49.05/31.67 inference(quant_intro,[status(thm)],[2259])).
% 49.05/31.67 tff(2261,plain,
% 49.05/31.67 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))),
% 49.05/31.67 inference(rewrite,[status(thm)],[])).
% 49.05/31.67 tff(2262,plain,
% 49.05/31.67 (^[I0: $i, X: $i] : trans(monotonicity(rewrite((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned))), (((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node61(I0, X))) <=> ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node61(I0, X))))), rewrite(((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node61(I0, X))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))), (((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node61(I0, X))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))))),
% 49.05/31.67 inference(bind,[status(th)],[])).
% 49.05/31.67 tff(2263,plain,
% 49.05/31.67 (![I0: $i, X: $i] : ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node61(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))),
% 49.05/31.67 inference(quant_intro,[status(thm)],[2262])).
% 49.05/31.67 tff(2264,axiom,(![I0: $i, X: $i] : ((m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node61(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_138')).
% 49.05/31.67 tff(2265,plain,
% 49.05/31.67 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))),
% 49.05/31.67 inference(modus_ponens,[status(thm)],[2264, 2263])).
% 49.05/31.67 tff(2266,plain,
% 49.05/31.67 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))),
% 49.05/31.67 inference(modus_ponens,[status(thm)],[2265, 2261])).
% 49.05/31.67 tff(2267,plain,(
% 49.05/31.67 ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))),
% 49.05/31.67 inference(skolemize,[status(sab)],[2266])).
% 49.05/31.67 tff(2268,plain,
% 49.05/31.67 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))),
% 49.05/31.67 inference(modus_ponens,[status(thm)],[2267, 2260])).
% 49.05/31.67 tff(2269,plain,
% 49.05/31.67 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | (~node61(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | (~node61(c_p1, s4)))),
% 49.05/31.67 inference(rewrite,[status(thm)],[])).
% 49.05/31.67 tff(2270,plain,
% 49.05/31.67 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | (~node61(c_p1, s4)))),
% 49.05/31.67 inference(quant_inst,[status(thm)],[])).
% 49.05/31.67 tff(2271,plain,
% 49.05/31.67 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | (~node61(c_p1, s4))),
% 49.05/31.67 inference(modus_ponens,[status(thm)],[2270, 2269])).
% 49.05/31.67 tff(2272,plain,
% 49.05/31.67 ($false),
% 49.05/31.67 inference(unit_resolution,[status(thm)],[2271, 2268, 1935, 2258, 2257])).
% 49.05/31.67 tff(2273,plain,(m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | (~node61(c_p1, s4))), inference(lemma,lemma(discharge,[]))).
% 49.05/31.67 tff(2274,plain,
% 49.05/31.67 (m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 49.05/31.67 inference(unit_resolution,[status(thm)],[2273, 2256, 1266])).
% 49.05/31.67 tff(2275,assumption,(m_processor_v_CMD(c_p1, s4, c_read_h_owned)), introduced(assumption)).
% 49.05/31.67 tff(2276,plain,
% 49.05/31.67 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s4, c_read_h_owned) | (~node3(s4)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s4, c_read_h_owned) | (~node3(s4)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)))),
% 49.05/31.67 inference(rewrite,[status(thm)],[])).
% 49.05/31.67 tff(2277,plain,
% 49.05/31.67 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s4, c_read_h_owned) | (~node3(s4)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)))),
% 49.05/31.67 inference(quant_inst,[status(thm)],[])).
% 49.05/31.67 tff(2278,plain,
% 49.05/31.67 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s4, c_read_h_owned) | (~node3(s4)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned))),
% 49.05/31.67 inference(modus_ponens,[status(thm)],[2277, 2276])).
% 49.05/31.67 tff(2279,plain,
% 49.05/31.67 ($false),
% 49.05/31.67 inference(unit_resolution,[status(thm)],[2278, 1260, 1250, 2275, 1659])).
% 49.05/31.67 tff(2280,plain,((~m_processor_v_CMD(c_p1, s4, c_read_h_owned)) | m_main_v_CMD(s4, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.67 tff(2281,plain,
% 49.05/31.67 (m_main_v_CMD(s4, c_read_h_owned)),
% 49.05/31.67 inference(unit_resolution,[status(thm)],[2280, 2274])).
% 49.05/31.67 tff(2282,plain,
% 49.05/31.67 (m_processor_v_CMD(c_p0, s4, c_read_h_owned)),
% 49.05/31.67 inference(unit_resolution,[status(thm)],[1692, 2281])).
% 49.05/31.67 tff(2283,plain,
% 49.05/31.67 (node47(c_p0, s4)),
% 49.05/31.67 inference(unit_resolution,[status(thm)],[1345, 2282, 1193, 1192, 1125])).
% 49.05/31.67 tff(2284,plain,
% 49.05/31.67 ($false),
% 49.05/31.67 inference(unit_resolution,[status(thm)],[1337, 657, 1205, 2283])).
% 49.05/31.67 tff(2285,plain,(m_processor_v_state(c_p0, s4, c_owned) | m_processor_v_waiting(c_p0, s5) | (~m_processor_v_state(c_p0, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 49.05/31.67 tff(2286,plain,
% 49.05/31.67 (m_processor_v_waiting(c_p0, s5)),
% 49.05/31.67 inference(unit_resolution,[status(thm)],[2285, 1059, 54])).
% 49.05/31.67 tff(2287,plain,
% 49.05/31.67 (^[I0: $i, X: $i] : refl((m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X)) <=> (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X)))),
% 49.05/31.67 inference(bind,[status(th)],[])).
% 49.05/31.67 tff(2288,plain,
% 49.05/31.67 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X)) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))),
% 49.05/31.67 inference(quant_intro,[status(thm)],[2287])).
% 49.05/31.67 tff(2289,plain,
% 49.05/31.67 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X)) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))),
% 49.05/31.67 inference(rewrite,[status(thm)],[])).
% 49.05/31.67 tff(2290,plain,
% 49.05/31.67 (^[I0: $i, X: $i] : trans(monotonicity(rewrite((m_processor_v_reply_h_waiting(I0, X) | m_processor_v_master(I0, X)) <=> (m_processor_v_master(I0, X) | m_processor_v_reply_h_waiting(I0, X))), (((m_processor_v_reply_h_waiting(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_waiting(I0, X))) <=> ((m_processor_v_master(I0, X) | m_processor_v_reply_h_waiting(I0, X)) | (~m_processor_v_waiting(I0, X))))), rewrite(((m_processor_v_master(I0, X) | m_processor_v_reply_h_waiting(I0, X)) | (~m_processor_v_waiting(I0, X))) <=> (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))), (((m_processor_v_reply_h_waiting(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_waiting(I0, X))) <=> (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))))),
% 49.05/31.67 inference(bind,[status(th)],[])).
% 49.05/31.67 tff(2291,plain,
% 49.05/31.67 (![I0: $i, X: $i] : ((m_processor_v_reply_h_waiting(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_waiting(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))),
% 49.05/31.67 inference(quant_intro,[status(thm)],[2290])).
% 49.05/31.67 tff(2292,axiom,(![I0: $i, X: $i] : ((m_processor_v_reply_h_waiting(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_waiting(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_132')).
% 49.05/31.67 tff(2293,plain,
% 49.05/31.67 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))),
% 49.05/31.67 inference(modus_ponens,[status(thm)],[2292, 2291])).
% 49.05/31.67 tff(2294,plain,
% 49.05/31.67 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))),
% 49.05/31.67 inference(modus_ponens,[status(thm)],[2293, 2289])).
% 49.05/31.67 tff(2295,plain,(
% 49.05/31.67 ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))),
% 49.05/31.67 inference(skolemize,[status(sab)],[2294])).
% 49.05/31.67 tff(2296,plain,
% 49.05/31.67 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))),
% 49.05/31.67 inference(modus_ponens,[status(thm)],[2295, 2288])).
% 49.05/31.67 tff(2297,plain,
% 49.05/31.67 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p0, s5)) | m_processor_v_master(c_p0, s5) | m_processor_v_reply_h_waiting(c_p0, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s5)) | m_processor_v_master(c_p0, s5) | m_processor_v_reply_h_waiting(c_p0, s5))),
% 49.05/31.67 inference(rewrite,[status(thm)],[])).
% 49.05/31.67 tff(2298,plain,
% 49.05/31.67 ((m_processor_v_master(c_p0, s5) | (~m_processor_v_waiting(c_p0, s5)) | m_processor_v_reply_h_waiting(c_p0, s5)) <=> ((~m_processor_v_waiting(c_p0, s5)) | m_processor_v_master(c_p0, s5) | m_processor_v_reply_h_waiting(c_p0, s5))),
% 49.05/31.67 inference(rewrite,[status(thm)],[])).
% 49.05/31.67 tff(2299,plain,
% 49.05/31.67 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s5) | (~m_processor_v_waiting(c_p0, s5)) | m_processor_v_reply_h_waiting(c_p0, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p0, s5)) | m_processor_v_master(c_p0, s5) | m_processor_v_reply_h_waiting(c_p0, s5)))),
% 49.05/31.67 inference(monotonicity,[status(thm)],[2298])).
% 49.05/31.67 tff(2300,plain,
% 49.05/31.67 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s5) | (~m_processor_v_waiting(c_p0, s5)) | m_processor_v_reply_h_waiting(c_p0, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s5)) | m_processor_v_master(c_p0, s5) | m_processor_v_reply_h_waiting(c_p0, s5))),
% 49.05/31.67 inference(transitivity,[status(thm)],[2299, 2297])).
% 49.05/31.67 tff(2301,plain,
% 49.05/31.67 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s5) | (~m_processor_v_waiting(c_p0, s5)) | m_processor_v_reply_h_waiting(c_p0, s5))),
% 49.05/31.67 inference(quant_inst,[status(thm)],[])).
% 49.05/31.67 tff(2302,plain,
% 49.05/31.67 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s5)) | m_processor_v_master(c_p0, s5) | m_processor_v_reply_h_waiting(c_p0, s5)),
% 49.05/31.67 inference(modus_ponens,[status(thm)],[2301, 2300])).
% 49.05/31.67 tff(2303,plain,
% 49.05/31.67 ($false),
% 49.05/31.67 inference(unit_resolution,[status(thm)],[2302, 2296, 798, 2286, 784])).
% 49.05/31.67 tff(2304,plain,(m_processor_v_state(c_p1, s6, c_invalid) | m_processor_v_state(c_p0, s4, c_owned) | (~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p1, s6, c_shared)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.67 tff(2305,plain,
% 49.05/31.67 (~m_processor_v_state(c_p0, s6, c_owned)),
% 49.05/31.67 inference(unit_resolution,[status(thm)],[2304, 143, 1, 53, 54])).
% 49.05/31.67 tff(2306,assumption,(node56(c_p0, s7)), introduced(assumption)).
% 49.05/31.67 tff(2307,plain,
% 49.05/31.67 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s7, c_owned) | (~node56(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p0, s7, c_owned) | (~node56(c_p0, s7)))),
% 49.05/31.67 inference(rewrite,[status(thm)],[])).
% 49.05/31.67 tff(2308,plain,
% 49.05/31.67 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s7, c_owned) | (~node56(c_p0, s7)))),
% 49.05/31.67 inference(quant_inst,[status(thm)],[])).
% 49.05/31.67 tff(2309,plain,
% 49.05/31.67 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p0, s7, c_owned) | (~node56(c_p0, s7))),
% 49.05/31.67 inference(modus_ponens,[status(thm)],[2308, 2307])).
% 49.05/31.67 tff(2310,plain,
% 49.05/31.67 ($false),
% 49.05/31.67 inference(unit_resolution,[status(thm)],[2309, 13, 3, 2306])).
% 49.05/31.67 tff(2311,plain,((~node56(c_p0, s7)) | m_processor_v_state(c_p0, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.67 tff(2312,plain,
% 49.05/31.67 (m_processor_v_state(c_p0, s7, c_owned)),
% 49.05/31.67 inference(unit_resolution,[status(thm)],[2311, 2306])).
% 49.05/31.67 tff(2313,assumption,(m_processor_v_state(c_p0, s7, c_owned)), introduced(assumption)).
% 49.05/31.67 tff(2314,plain,
% 49.05/31.68 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s7, c_invalid)) | (~m_processor_v_state(c_p0, s7, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s7, c_invalid)) | (~m_processor_v_state(c_p0, s7, c_owned)))),
% 49.05/31.68 inference(rewrite,[status(thm)],[])).
% 49.05/31.68 tff(2315,plain,
% 49.05/31.68 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s7, c_invalid)) | (~m_processor_v_state(c_p0, s7, c_owned)))),
% 49.05/31.68 inference(quant_inst,[status(thm)],[])).
% 49.05/31.68 tff(2316,plain,
% 49.05/31.68 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s7, c_invalid)) | (~m_processor_v_state(c_p0, s7, c_owned))),
% 49.05/31.68 inference(modus_ponens,[status(thm)],[2315, 2314])).
% 49.05/31.68 tff(2317,plain,
% 49.05/31.68 (~m_processor_v_state(c_p0, s7, c_invalid)),
% 49.05/31.68 inference(unit_resolution,[status(thm)],[2316, 137, 2313])).
% 49.05/31.68 tff(2318,assumption,(~m_processor_v_master(c_p0, s6)), introduced(assumption)).
% 49.05/31.68 tff(2319,plain,
% 49.05/31.68 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_state(c_p0, s7, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_state(c_p0, s7, c_shared)))),
% 49.05/31.68 inference(rewrite,[status(thm)],[])).
% 49.05/31.68 tff(2320,plain,
% 49.05/31.68 (((~m_processor_v_state(c_p0, s7, c_shared)) | (~m_processor_v_state(c_p0, s7, c_owned))) <=> ((~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_state(c_p0, s7, c_shared)))),
% 49.05/31.68 inference(rewrite,[status(thm)],[])).
% 49.05/31.68 tff(2321,plain,
% 49.05/31.68 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s7, c_shared)) | (~m_processor_v_state(c_p0, s7, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_state(c_p0, s7, c_shared))))),
% 49.05/31.68 inference(monotonicity,[status(thm)],[2320])).
% 49.05/31.68 tff(2322,plain,
% 49.05/31.68 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s7, c_shared)) | (~m_processor_v_state(c_p0, s7, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_state(c_p0, s7, c_shared)))),
% 49.05/31.68 inference(transitivity,[status(thm)],[2321, 2319])).
% 49.05/31.68 tff(2323,plain,
% 49.05/31.68 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s7, c_shared)) | (~m_processor_v_state(c_p0, s7, c_owned)))),
% 49.05/31.68 inference(quant_inst,[status(thm)],[])).
% 49.05/31.68 tff(2324,plain,
% 49.05/31.68 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_state(c_p0, s7, c_shared))),
% 49.05/31.68 inference(modus_ponens,[status(thm)],[2323, 2322])).
% 49.05/31.68 tff(2325,plain,
% 49.05/31.68 (~m_processor_v_state(c_p0, s7, c_shared)),
% 49.05/31.68 inference(unit_resolution,[status(thm)],[2324, 121, 2313])).
% 49.05/31.68 tff(2326,assumption,(~m_processor_v_state(c_p0, s7, c_shared)), introduced(assumption)).
% 49.05/31.68 tff(2327,assumption,(node32(c_p0, s6, s7)), introduced(assumption)).
% 49.05/31.68 tff(2328,plain,
% 49.05/31.68 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_state(c_p0, s7, c_shared) | (~node32(c_p0, s6, s7)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_state(c_p0, s7, c_shared) | (~node32(c_p0, s6, s7)))),
% 49.05/31.68 inference(rewrite,[status(thm)],[])).
% 49.05/31.68 tff(2329,plain,
% 49.05/31.68 (((~node32(c_p0, s6, s7)) | (~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_state(c_p0, s7, c_shared)) <=> ((~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_state(c_p0, s7, c_shared) | (~node32(c_p0, s6, s7)))),
% 49.05/31.68 inference(rewrite,[status(thm)],[])).
% 49.05/31.68 tff(2330,plain,
% 49.05/31.68 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s6, s7)) | (~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_state(c_p0, s7, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_state(c_p0, s7, c_shared) | (~node32(c_p0, s6, s7))))),
% 49.05/31.68 inference(monotonicity,[status(thm)],[2329])).
% 49.05/31.68 tff(2331,plain,
% 49.05/31.68 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s6, s7)) | (~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_state(c_p0, s7, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_state(c_p0, s7, c_shared) | (~node32(c_p0, s6, s7)))),
% 49.05/31.68 inference(transitivity,[status(thm)],[2330, 2328])).
% 49.05/31.68 tff(2332,plain,
% 49.05/31.68 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s6, s7)) | (~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_state(c_p0, s7, c_shared))),
% 49.05/31.68 inference(quant_inst,[status(thm)],[])).
% 49.05/31.68 tff(2333,plain,
% 49.05/31.68 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_state(c_p0, s7, c_shared) | (~node32(c_p0, s6, s7))),
% 49.05/31.68 inference(modus_ponens,[status(thm)],[2332, 2331])).
% 49.05/31.68 tff(2334,plain,
% 49.05/31.68 ($false),
% 49.05/31.68 inference(unit_resolution,[status(thm)],[2333, 380, 801, 2326, 2327])).
% 49.05/31.68 tff(2335,plain,((~node32(c_p0, s6, s7)) | (~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_state(c_p0, s7, c_shared)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.68 tff(2336,plain,
% 49.05/31.68 (~node32(c_p0, s6, s7)),
% 49.05/31.68 inference(unit_resolution,[status(thm)],[2335, 2326, 801])).
% 49.05/31.68 tff(2337,assumption,(~node38(c_p0, s6, s7)), introduced(assumption)).
% 49.05/31.68 tff(2338,plain,
% 49.05/31.68 (succ(s6, s7) <=> succ(s6, s7)),
% 49.05/31.68 inference(rewrite,[status(thm)],[])).
% 49.05/31.68 tff(2339,axiom,(succ(s6, s7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound7')).
% 49.05/31.68 tff(2340,plain,
% 49.05/31.68 (succ(s6, s7)),
% 49.05/31.68 inference(modus_ponens,[status(thm)],[2339, 2338])).
% 49.05/31.68 tff(2341,plain,
% 49.05/31.68 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s6, s7)) | trans(s6, s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s6, s7)) | trans(s6, s7))),
% 49.05/31.68 inference(rewrite,[status(thm)],[])).
% 49.05/31.68 tff(2342,plain,
% 49.05/31.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s6, s7)) | trans(s6, s7))),
% 49.05/31.68 inference(quant_inst,[status(thm)],[])).
% 49.05/31.68 tff(2343,plain,
% 49.05/31.68 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s6, s7)) | trans(s6, s7)),
% 49.05/31.68 inference(modus_ponens,[status(thm)],[2342, 2341])).
% 49.05/31.68 tff(2344,plain,
% 49.05/31.68 (trans(s6, s7)),
% 49.05/31.68 inference(unit_resolution,[status(thm)],[2343, 2340, 196])).
% 49.05/31.68 tff(2345,plain,
% 49.05/31.68 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s6, s7)) | node38(c_p0, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s6, s7)) | node38(c_p0, s6, s7))),
% 49.05/31.68 inference(rewrite,[status(thm)],[])).
% 49.05/31.68 tff(2346,plain,
% 49.05/31.68 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s6, s7)) | node38(c_p0, s6, s7))),
% 49.05/31.68 inference(quant_inst,[status(thm)],[])).
% 49.05/31.68 tff(2347,plain,
% 49.05/31.68 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s6, s7)) | node38(c_p0, s6, s7)),
% 49.05/31.68 inference(modus_ponens,[status(thm)],[2346, 2345])).
% 49.05/31.68 tff(2348,plain,
% 49.05/31.68 ($false),
% 49.05/31.68 inference(unit_resolution,[status(thm)],[2347, 210, 2344, 2337])).
% 49.05/31.68 tff(2349,plain,(node38(c_p0, s6, s7)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.68 tff(2350,plain,
% 49.05/31.68 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s6, s7) | (~m_processor_v_abort(c_p0, s6)) | (~node38(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s6, s7) | (~m_processor_v_abort(c_p0, s6)) | (~node38(c_p0, s6, s7)))),
% 49.05/31.68 inference(rewrite,[status(thm)],[])).
% 49.05/31.68 tff(2351,plain,
% 49.05/31.68 ((node32(c_p0, s6, s7) | (~node38(c_p0, s6, s7)) | (~m_processor_v_abort(c_p0, s6))) <=> (node32(c_p0, s6, s7) | (~m_processor_v_abort(c_p0, s6)) | (~node38(c_p0, s6, s7)))),
% 49.05/31.68 inference(rewrite,[status(thm)],[])).
% 49.05/31.68 tff(2352,plain,
% 49.05/31.68 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s6, s7) | (~node38(c_p0, s6, s7)) | (~m_processor_v_abort(c_p0, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s6, s7) | (~m_processor_v_abort(c_p0, s6)) | (~node38(c_p0, s6, s7))))),
% 49.05/31.68 inference(monotonicity,[status(thm)],[2351])).
% 49.05/31.68 tff(2353,plain,
% 49.05/31.68 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s6, s7) | (~node38(c_p0, s6, s7)) | (~m_processor_v_abort(c_p0, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s6, s7) | (~m_processor_v_abort(c_p0, s6)) | (~node38(c_p0, s6, s7)))),
% 49.05/31.68 inference(transitivity,[status(thm)],[2352, 2350])).
% 49.05/31.68 tff(2354,plain,
% 49.05/31.68 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s6, s7) | (~node38(c_p0, s6, s7)) | (~m_processor_v_abort(c_p0, s6)))),
% 49.05/31.68 inference(quant_inst,[status(thm)],[])).
% 49.05/31.68 tff(2355,plain,
% 49.05/31.68 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s6, s7) | (~m_processor_v_abort(c_p0, s6)) | (~node38(c_p0, s6, s7))),
% 49.05/31.68 inference(modus_ponens,[status(thm)],[2354, 2353])).
% 49.05/31.68 tff(2356,plain,
% 49.05/31.68 (node32(c_p0, s6, s7) | (~m_processor_v_abort(c_p0, s6))),
% 49.05/31.68 inference(unit_resolution,[status(thm)],[2355, 243, 2349])).
% 49.05/31.68 tff(2357,plain,
% 49.05/31.68 (~m_processor_v_abort(c_p0, s6)),
% 49.05/31.68 inference(unit_resolution,[status(thm)],[2356, 2336])).
% 49.05/31.68 tff(2358,assumption,(~m_processor_v_state(c_p0, s7, c_invalid)), introduced(assumption)).
% 49.05/31.68 tff(2359,plain,
% 49.05/31.68 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s6) | (~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_abort(c_p0, s6) | m_processor_v_state(c_p0, s7, c_invalid) | (~node38(c_p0, s6, s7)) | node35(c_p0, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s6) | (~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_abort(c_p0, s6) | m_processor_v_state(c_p0, s7, c_invalid) | (~node38(c_p0, s6, s7)) | node35(c_p0, s6))),
% 49.05/31.68 inference(rewrite,[status(thm)],[])).
% 49.05/31.68 tff(2360,plain,
% 49.05/31.68 (((~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_master(c_p0, s6) | node35(c_p0, s6) | m_processor_v_state(c_p0, s7, c_invalid) | (~node38(c_p0, s6, s7)) | m_processor_v_abort(c_p0, s6)) <=> (m_processor_v_master(c_p0, s6) | (~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_abort(c_p0, s6) | m_processor_v_state(c_p0, s7, c_invalid) | (~node38(c_p0, s6, s7)) | node35(c_p0, s6))),
% 49.05/31.68 inference(rewrite,[status(thm)],[])).
% 49.05/31.68 tff(2361,plain,
% 49.05/31.68 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_master(c_p0, s6) | node35(c_p0, s6) | m_processor_v_state(c_p0, s7, c_invalid) | (~node38(c_p0, s6, s7)) | m_processor_v_abort(c_p0, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s6) | (~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_abort(c_p0, s6) | m_processor_v_state(c_p0, s7, c_invalid) | (~node38(c_p0, s6, s7)) | node35(c_p0, s6)))),
% 49.05/31.68 inference(monotonicity,[status(thm)],[2360])).
% 49.05/31.68 tff(2362,plain,
% 49.05/31.68 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_master(c_p0, s6) | node35(c_p0, s6) | m_processor_v_state(c_p0, s7, c_invalid) | (~node38(c_p0, s6, s7)) | m_processor_v_abort(c_p0, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s6) | (~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_abort(c_p0, s6) | m_processor_v_state(c_p0, s7, c_invalid) | (~node38(c_p0, s6, s7)) | node35(c_p0, s6))),
% 49.05/31.68 inference(transitivity,[status(thm)],[2361, 2359])).
% 49.05/31.68 tff(2363,plain,
% 49.05/31.68 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_master(c_p0, s6) | node35(c_p0, s6) | m_processor_v_state(c_p0, s7, c_invalid) | (~node38(c_p0, s6, s7)) | m_processor_v_abort(c_p0, s6))),
% 49.05/31.68 inference(quant_inst,[status(thm)],[])).
% 49.05/31.68 tff(2364,plain,
% 49.05/31.68 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s6) | (~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_abort(c_p0, s6) | m_processor_v_state(c_p0, s7, c_invalid) | (~node38(c_p0, s6, s7)) | node35(c_p0, s6)),
% 49.05/31.68 inference(modus_ponens,[status(thm)],[2363, 2362])).
% 49.05/31.68 tff(2365,plain,
% 49.05/31.68 (m_processor_v_master(c_p0, s6) | (~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_abort(c_p0, s6) | m_processor_v_state(c_p0, s7, c_invalid) | node35(c_p0, s6)),
% 49.05/31.68 inference(unit_resolution,[status(thm)],[2364, 301, 2349])).
% 49.05/31.68 tff(2366,plain,
% 49.05/31.68 (node35(c_p0, s6)),
% 49.05/31.68 inference(unit_resolution,[status(thm)],[2365, 2318, 801, 2358, 2357])).
% 49.05/31.68 tff(2367,plain,
% 49.05/31.68 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s6, c_invalidate)) | (~node35(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s6, c_invalidate)) | (~node35(c_p0, s6)))),
% 49.05/31.68 inference(rewrite,[status(thm)],[])).
% 49.05/31.68 tff(2368,plain,
% 49.05/31.68 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s6, c_invalidate)) | (~node35(c_p0, s6)))),
% 49.05/31.68 inference(quant_inst,[status(thm)],[])).
% 49.05/31.68 tff(2369,plain,
% 49.05/31.68 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s6, c_invalidate)) | (~node35(c_p0, s6))),
% 49.05/31.68 inference(modus_ponens,[status(thm)],[2368, 2367])).
% 49.05/31.68 tff(2370,plain,
% 49.05/31.68 (~m_processor_v_CMD(c_p0, s6, c_invalidate)),
% 49.05/31.68 inference(unit_resolution,[status(thm)],[2369, 327, 2366])).
% 49.05/31.68 tff(2371,plain,
% 49.05/31.68 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s6, c_read_h_owned)) | (~node35(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s6, c_read_h_owned)) | (~node35(c_p0, s6)))),
% 49.05/31.68 inference(rewrite,[status(thm)],[])).
% 49.05/31.68 tff(2372,plain,
% 49.05/31.68 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s6, c_read_h_owned)) | (~node35(c_p0, s6)))),
% 49.05/31.68 inference(quant_inst,[status(thm)],[])).
% 49.05/31.68 tff(2373,plain,
% 49.05/31.68 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s6, c_read_h_owned)) | (~node35(c_p0, s6))),
% 49.05/31.68 inference(modus_ponens,[status(thm)],[2372, 2371])).
% 49.05/31.68 tff(2374,plain,
% 49.05/31.68 (~m_processor_v_CMD(c_p0, s6, c_read_h_owned)),
% 49.05/31.68 inference(unit_resolution,[status(thm)],[2373, 316, 2366])).
% 49.05/31.68 tff(2375,plain,
% 49.05/31.68 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s6) | (~m_processor_v_state(c_p0, s6, c_shared)) | node36(c_p0, s6) | m_processor_v_abort(c_p0, s6) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_state(c_p0, s7, c_invalid) | (~node38(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s6) | (~m_processor_v_state(c_p0, s6, c_shared)) | node36(c_p0, s6) | m_processor_v_abort(c_p0, s6) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_state(c_p0, s7, c_invalid) | (~node38(c_p0, s6, s7)))),
% 49.05/31.68 inference(rewrite,[status(thm)],[])).
% 49.05/31.68 tff(2376,plain,
% 49.05/31.68 (((~m_processor_v_state(c_p0, s6, c_shared)) | node36(c_p0, s6) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_master(c_p0, s6) | m_processor_v_state(c_p0, s7, c_invalid) | (~node38(c_p0, s6, s7)) | m_processor_v_abort(c_p0, s6)) <=> (m_processor_v_master(c_p0, s6) | (~m_processor_v_state(c_p0, s6, c_shared)) | node36(c_p0, s6) | m_processor_v_abort(c_p0, s6) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_state(c_p0, s7, c_invalid) | (~node38(c_p0, s6, s7)))),
% 49.05/31.68 inference(rewrite,[status(thm)],[])).
% 49.05/31.68 tff(2377,plain,
% 49.05/31.68 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s6, c_shared)) | node36(c_p0, s6) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_master(c_p0, s6) | m_processor_v_state(c_p0, s7, c_invalid) | (~node38(c_p0, s6, s7)) | m_processor_v_abort(c_p0, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s6) | (~m_processor_v_state(c_p0, s6, c_shared)) | node36(c_p0, s6) | m_processor_v_abort(c_p0, s6) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_state(c_p0, s7, c_invalid) | (~node38(c_p0, s6, s7))))),
% 49.05/31.68 inference(monotonicity,[status(thm)],[2376])).
% 49.05/31.68 tff(2378,plain,
% 49.05/31.68 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s6, c_shared)) | node36(c_p0, s6) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_master(c_p0, s6) | m_processor_v_state(c_p0, s7, c_invalid) | (~node38(c_p0, s6, s7)) | m_processor_v_abort(c_p0, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s6) | (~m_processor_v_state(c_p0, s6, c_shared)) | node36(c_p0, s6) | m_processor_v_abort(c_p0, s6) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_state(c_p0, s7, c_invalid) | (~node38(c_p0, s6, s7)))),
% 49.05/31.68 inference(transitivity,[status(thm)],[2377, 2375])).
% 49.05/31.68 tff(2379,plain,
% 49.05/31.68 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s6, c_shared)) | node36(c_p0, s6) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_master(c_p0, s6) | m_processor_v_state(c_p0, s7, c_invalid) | (~node38(c_p0, s6, s7)) | m_processor_v_abort(c_p0, s6))),
% 49.05/31.68 inference(quant_inst,[status(thm)],[])).
% 49.05/31.68 tff(2380,plain,
% 49.05/31.68 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s6) | (~m_processor_v_state(c_p0, s6, c_shared)) | node36(c_p0, s6) | m_processor_v_abort(c_p0, s6) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_state(c_p0, s7, c_invalid) | (~node38(c_p0, s6, s7))),
% 49.05/31.68 inference(modus_ponens,[status(thm)],[2379, 2378])).
% 49.05/31.68 tff(2381,plain,
% 49.05/31.68 (m_processor_v_master(c_p0, s6) | (~m_processor_v_state(c_p0, s6, c_shared)) | node36(c_p0, s6) | m_processor_v_abort(c_p0, s6) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_state(c_p0, s7, c_invalid)),
% 49.05/31.68 inference(unit_resolution,[status(thm)],[2380, 341, 2349])).
% 49.05/31.68 tff(2382,plain,
% 49.05/31.68 (node36(c_p0, s6)),
% 49.05/31.68 inference(unit_resolution,[status(thm)],[2381, 2318, 801, 2326, 2357, 2358])).
% 49.05/31.68 tff(2383,plain,
% 49.05/31.68 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s6, c_read_h_owned) | (~node36(c_p0, s6)) | m_processor_v_CMD(c_p0, s6, c_invalidate))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | (~node36(c_p0, s6)) | m_processor_v_CMD(c_p0, s6, c_invalidate))),
% 49.05/31.68 inference(rewrite,[status(thm)],[])).
% 49.05/31.68 tff(2384,plain,
% 49.05/31.68 ((m_processor_v_CMD(c_p0, s6, c_invalidate) | (~node36(c_p0, s6)) | m_processor_v_CMD(c_p0, s6, c_read_h_owned)) <=> (m_processor_v_CMD(c_p0, s6, c_read_h_owned) | (~node36(c_p0, s6)) | m_processor_v_CMD(c_p0, s6, c_invalidate))),
% 49.05/31.68 inference(rewrite,[status(thm)],[])).
% 49.05/31.68 tff(2385,plain,
% 49.05/31.68 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s6, c_invalidate) | (~node36(c_p0, s6)) | m_processor_v_CMD(c_p0, s6, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s6, c_read_h_owned) | (~node36(c_p0, s6)) | m_processor_v_CMD(c_p0, s6, c_invalidate)))),
% 49.05/31.68 inference(monotonicity,[status(thm)],[2384])).
% 49.05/31.68 tff(2386,plain,
% 49.05/31.68 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s6, c_invalidate) | (~node36(c_p0, s6)) | m_processor_v_CMD(c_p0, s6, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | (~node36(c_p0, s6)) | m_processor_v_CMD(c_p0, s6, c_invalidate))),
% 49.05/31.69 inference(transitivity,[status(thm)],[2385, 2383])).
% 49.05/31.69 tff(2387,plain,
% 49.05/31.69 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s6, c_invalidate) | (~node36(c_p0, s6)) | m_processor_v_CMD(c_p0, s6, c_read_h_owned))),
% 49.05/31.69 inference(quant_inst,[status(thm)],[])).
% 49.05/31.69 tff(2388,plain,
% 49.05/31.69 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | (~node36(c_p0, s6)) | m_processor_v_CMD(c_p0, s6, c_invalidate)),
% 49.05/31.69 inference(modus_ponens,[status(thm)],[2387, 2386])).
% 49.05/31.69 tff(2389,plain,
% 49.05/31.69 ($false),
% 49.05/31.69 inference(unit_resolution,[status(thm)],[2388, 359, 2382, 2374, 2370])).
% 49.05/31.69 tff(2390,plain,(m_processor_v_master(c_p0, s6) | (~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_state(c_p0, s7, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.69 tff(2391,plain,
% 49.05/31.69 (~m_processor_v_state(c_p0, s6, c_shared)),
% 49.05/31.69 inference(unit_resolution,[status(thm)],[2390, 2325, 2318, 2317])).
% 49.05/31.69 tff(2392,assumption,(m_processor_v_state(c_p0, s6, c_invalid)), introduced(assumption)).
% 49.05/31.69 tff(2393,plain,
% 49.05/31.69 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p0, s6, c_invalid)) | (~m_processor_v_state(c_p0, s6, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p0, s6, c_invalid)) | (~m_processor_v_state(c_p0, s6, c_shared)))),
% 49.05/31.69 inference(rewrite,[status(thm)],[])).
% 49.05/31.69 tff(2394,plain,
% 49.05/31.69 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p0, s6, c_invalid)) | (~m_processor_v_state(c_p0, s6, c_shared)))),
% 49.05/31.69 inference(quant_inst,[status(thm)],[])).
% 49.05/31.69 tff(2395,plain,
% 49.05/31.69 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p0, s6, c_invalid)) | (~m_processor_v_state(c_p0, s6, c_shared))),
% 49.05/31.69 inference(modus_ponens,[status(thm)],[2394, 2393])).
% 49.05/31.69 tff(2396,plain,
% 49.05/31.69 (~m_processor_v_state(c_p0, s6, c_shared)),
% 49.05/31.69 inference(unit_resolution,[status(thm)],[2395, 977, 2392])).
% 49.05/31.69 tff(2397,plain,
% 49.05/31.69 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p0, s6, c_shared) | (~node36(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p0, s6, c_shared) | (~node36(c_p0, s6)))),
% 49.05/31.69 inference(rewrite,[status(thm)],[])).
% 49.05/31.69 tff(2398,plain,
% 49.05/31.69 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p0, s6, c_shared) | (~node36(c_p0, s6)))),
% 49.05/31.69 inference(quant_inst,[status(thm)],[])).
% 49.05/31.69 tff(2399,plain,
% 49.05/31.69 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p0, s6, c_shared) | (~node36(c_p0, s6))),
% 49.05/31.69 inference(modus_ponens,[status(thm)],[2398, 2397])).
% 49.05/31.69 tff(2400,plain,
% 49.05/31.69 (~node36(c_p0, s6)),
% 49.05/31.69 inference(unit_resolution,[status(thm)],[2399, 167, 2396])).
% 49.05/31.69 tff(2401,assumption,(node37(c_p0, s6, s7)), introduced(assumption)).
% 49.05/31.69 tff(2402,plain,
% 49.05/31.69 (^[V: $i, Y: $i, I0: $i, X: $i] : refl(((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y))) <=> ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y))))),
% 49.05/31.69 inference(bind,[status(th)],[])).
% 49.05/31.69 tff(2403,plain,
% 49.05/31.69 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))),
% 49.05/31.69 inference(quant_intro,[status(thm)],[2402])).
% 49.05/31.69 tff(2404,plain,
% 49.05/31.69 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))),
% 49.05/31.69 inference(rewrite,[status(thm)],[])).
% 49.05/31.69 tff(2405,plain,
% 49.05/31.69 (^[V: $i, Y: $i, I0: $i, X: $i] : trans(monotonicity(rewrite((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) <=> ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))), (((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) | (~node37(I0, X, Y))) <=> (((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y))))), rewrite((((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y))) <=> ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))), (((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) | (~node37(I0, X, Y))) <=> ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))))),
% 49.05/31.69 inference(bind,[status(th)],[])).
% 49.05/31.69 tff(2406,plain,
% 49.05/31.69 (![V: $i, Y: $i, I0: $i, X: $i] : ((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) | (~node37(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))),
% 49.05/31.69 inference(quant_intro,[status(thm)],[2405])).
% 49.05/31.69 tff(2407,axiom,(![V: $i, Y: $i, I0: $i, X: $i] : ((m_processor_v_state(I0, Y, V) | (~m_processor_v_state(I0, X, V))) | (~node37(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_65')).
% 49.05/31.69 tff(2408,plain,
% 49.05/31.69 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))),
% 49.05/31.69 inference(modus_ponens,[status(thm)],[2407, 2406])).
% 49.05/31.69 tff(2409,plain,
% 49.05/31.69 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))),
% 49.05/31.69 inference(modus_ponens,[status(thm)],[2408, 2404])).
% 49.05/31.69 tff(2410,plain,(
% 49.05/31.69 ![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))),
% 49.05/31.69 inference(skolemize,[status(sab)],[2409])).
% 49.05/31.69 tff(2411,plain,
% 49.05/31.69 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))),
% 49.05/31.69 inference(modus_ponens,[status(thm)],[2410, 2403])).
% 49.05/31.69 tff(2412,plain,
% 49.05/31.69 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s6, c_invalid)) | m_processor_v_state(c_p0, s7, c_invalid) | (~node37(c_p0, s6, s7)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s6, c_invalid)) | m_processor_v_state(c_p0, s7, c_invalid) | (~node37(c_p0, s6, s7)))),
% 49.05/31.69 inference(rewrite,[status(thm)],[])).
% 49.05/31.69 tff(2413,plain,
% 49.05/31.69 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s6, c_invalid)) | m_processor_v_state(c_p0, s7, c_invalid) | (~node37(c_p0, s6, s7)))),
% 49.05/31.69 inference(quant_inst,[status(thm)],[])).
% 49.05/31.69 tff(2414,plain,
% 49.05/31.69 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s6, c_invalid)) | m_processor_v_state(c_p0, s7, c_invalid) | (~node37(c_p0, s6, s7))),
% 49.05/31.69 inference(modus_ponens,[status(thm)],[2413, 2412])).
% 49.05/31.69 tff(2415,plain,
% 49.05/31.69 ($false),
% 49.05/31.69 inference(unit_resolution,[status(thm)],[2414, 2411, 2392, 2401, 2358])).
% 49.05/31.69 tff(2416,plain,((~m_processor_v_state(c_p0, s6, c_invalid)) | (~node37(c_p0, s6, s7)) | m_processor_v_state(c_p0, s7, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.69 tff(2417,plain,
% 49.05/31.69 (~node37(c_p0, s6, s7)),
% 49.05/31.69 inference(unit_resolution,[status(thm)],[2416, 2358, 2392])).
% 49.05/31.69 tff(2418,plain,
% 49.05/31.69 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s6) | m_processor_v_state(c_p0, s6, c_shared) | node36(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node37(c_p0, s6, s7) | (~node38(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s6) | m_processor_v_state(c_p0, s6, c_shared) | node36(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node37(c_p0, s6, s7) | (~node38(c_p0, s6, s7)))),
% 49.05/31.69 inference(rewrite,[status(thm)],[])).
% 49.05/31.69 tff(2419,plain,
% 49.05/31.69 ((m_processor_v_state(c_p0, s6, c_shared) | node36(c_p0, s6) | m_processor_v_master(c_p0, s6) | node37(c_p0, s6, s7) | (~node38(c_p0, s6, s7)) | m_processor_v_abort(c_p0, s6)) <=> (m_processor_v_master(c_p0, s6) | m_processor_v_state(c_p0, s6, c_shared) | node36(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node37(c_p0, s6, s7) | (~node38(c_p0, s6, s7)))),
% 49.05/31.69 inference(rewrite,[status(thm)],[])).
% 49.05/31.69 tff(2420,plain,
% 49.05/31.69 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s6, c_shared) | node36(c_p0, s6) | m_processor_v_master(c_p0, s6) | node37(c_p0, s6, s7) | (~node38(c_p0, s6, s7)) | m_processor_v_abort(c_p0, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s6) | m_processor_v_state(c_p0, s6, c_shared) | node36(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node37(c_p0, s6, s7) | (~node38(c_p0, s6, s7))))),
% 49.05/31.69 inference(monotonicity,[status(thm)],[2419])).
% 49.05/31.69 tff(2421,plain,
% 49.05/31.69 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s6, c_shared) | node36(c_p0, s6) | m_processor_v_master(c_p0, s6) | node37(c_p0, s6, s7) | (~node38(c_p0, s6, s7)) | m_processor_v_abort(c_p0, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s6) | m_processor_v_state(c_p0, s6, c_shared) | node36(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node37(c_p0, s6, s7) | (~node38(c_p0, s6, s7)))),
% 49.05/31.69 inference(transitivity,[status(thm)],[2420, 2418])).
% 49.05/31.69 tff(2422,plain,
% 49.05/31.69 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s6, c_shared) | node36(c_p0, s6) | m_processor_v_master(c_p0, s6) | node37(c_p0, s6, s7) | (~node38(c_p0, s6, s7)) | m_processor_v_abort(c_p0, s6))),
% 49.05/31.69 inference(quant_inst,[status(thm)],[])).
% 49.05/31.69 tff(2423,plain,
% 49.05/31.69 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s6) | m_processor_v_state(c_p0, s6, c_shared) | node36(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node37(c_p0, s6, s7) | (~node38(c_p0, s6, s7))),
% 49.05/31.69 inference(modus_ponens,[status(thm)],[2422, 2421])).
% 49.05/31.69 tff(2424,plain,
% 49.05/31.69 (m_processor_v_master(c_p0, s6) | m_processor_v_state(c_p0, s6, c_shared) | node36(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node37(c_p0, s6, s7)),
% 49.05/31.69 inference(unit_resolution,[status(thm)],[2423, 225, 2349])).
% 49.05/31.69 tff(2425,plain,
% 49.05/31.69 (m_processor_v_abort(c_p0, s6)),
% 49.05/31.69 inference(unit_resolution,[status(thm)],[2424, 2417, 2318, 2396, 2400])).
% 49.05/31.69 tff(2426,plain,
% 49.05/31.69 (node32(c_p0, s6, s7)),
% 49.05/31.69 inference(unit_resolution,[status(thm)],[2356, 2425])).
% 49.05/31.69 tff(2427,plain,
% 49.05/31.69 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s6, c_invalid)) | m_processor_v_state(c_p0, s7, c_invalid) | (~node32(c_p0, s6, s7)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s6, c_invalid)) | m_processor_v_state(c_p0, s7, c_invalid) | (~node32(c_p0, s6, s7)))),
% 49.05/31.69 inference(rewrite,[status(thm)],[])).
% 49.05/31.69 tff(2428,plain,
% 49.05/31.69 (((~node32(c_p0, s6, s7)) | (~m_processor_v_state(c_p0, s6, c_invalid)) | m_processor_v_state(c_p0, s7, c_invalid)) <=> ((~m_processor_v_state(c_p0, s6, c_invalid)) | m_processor_v_state(c_p0, s7, c_invalid) | (~node32(c_p0, s6, s7)))),
% 49.05/31.69 inference(rewrite,[status(thm)],[])).
% 49.05/31.69 tff(2429,plain,
% 49.05/31.69 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s6, s7)) | (~m_processor_v_state(c_p0, s6, c_invalid)) | m_processor_v_state(c_p0, s7, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s6, c_invalid)) | m_processor_v_state(c_p0, s7, c_invalid) | (~node32(c_p0, s6, s7))))),
% 49.05/31.69 inference(monotonicity,[status(thm)],[2428])).
% 49.05/31.69 tff(2430,plain,
% 49.05/31.69 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s6, s7)) | (~m_processor_v_state(c_p0, s6, c_invalid)) | m_processor_v_state(c_p0, s7, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s6, c_invalid)) | m_processor_v_state(c_p0, s7, c_invalid) | (~node32(c_p0, s6, s7)))),
% 49.05/31.69 inference(transitivity,[status(thm)],[2429, 2427])).
% 49.05/31.69 tff(2431,plain,
% 49.05/31.69 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s6, s7)) | (~m_processor_v_state(c_p0, s6, c_invalid)) | m_processor_v_state(c_p0, s7, c_invalid))),
% 49.05/31.69 inference(quant_inst,[status(thm)],[])).
% 49.05/31.69 tff(2432,plain,
% 49.05/31.69 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s6, c_invalid)) | m_processor_v_state(c_p0, s7, c_invalid) | (~node32(c_p0, s6, s7))),
% 49.05/31.69 inference(modus_ponens,[status(thm)],[2431, 2430])).
% 49.05/31.69 tff(2433,plain,
% 49.05/31.69 ($false),
% 49.05/31.69 inference(unit_resolution,[status(thm)],[2432, 380, 2392, 2358, 2426])).
% 49.05/31.69 tff(2434,plain,(m_processor_v_state(c_p0, s7, c_invalid) | (~m_processor_v_state(c_p0, s6, c_invalid)) | m_processor_v_master(c_p0, s6)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.69 tff(2435,plain,
% 49.05/31.69 (~m_processor_v_state(c_p0, s6, c_invalid)),
% 49.05/31.69 inference(unit_resolution,[status(thm)],[2434, 2317, 2318])).
% 49.05/31.69 tff(2436,plain,
% 49.05/31.69 ($false),
% 49.05/31.69 inference(unit_resolution,[status(thm)],[819, 2435, 2391, 5])).
% 49.05/31.69 tff(2437,plain,((~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_master(c_p0, s6)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.69 tff(2438,plain,
% 49.05/31.69 (m_processor_v_master(c_p0, s6)),
% 49.05/31.69 inference(unit_resolution,[status(thm)],[2437, 2313, 5])).
% 49.05/31.69 tff(2439,assumption,(~m_processor_v_CMD(c_p0, s6, c_read_h_owned)), introduced(assumption)).
% 49.05/31.69 tff(2440,plain,
% 49.05/31.69 (m_processor_v_master(c_p0, s6)),
% 49.05/31.69 inference(unit_resolution,[status(thm)],[2437, 5, 2313])).
% 49.05/31.69 tff(2441,assumption,(m_processor_v_master(c_p0, s6)), introduced(assumption)).
% 49.05/31.69 tff(2442,assumption,(~node34(c_p0, s6, s7)), introduced(assumption)).
% 49.05/31.69 tff(2443,plain,
% 49.05/31.69 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p0, s6)) | m_processor_v_abort(c_p0, s6) | node34(c_p0, s6, s7) | (~node38(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s6)) | m_processor_v_abort(c_p0, s6) | node34(c_p0, s6, s7) | (~node38(c_p0, s6, s7)))),
% 49.05/31.69 inference(rewrite,[status(thm)],[])).
% 49.05/31.69 tff(2444,plain,
% 49.05/31.69 ((node34(c_p0, s6, s7) | (~m_processor_v_master(c_p0, s6)) | (~node38(c_p0, s6, s7)) | m_processor_v_abort(c_p0, s6)) <=> ((~m_processor_v_master(c_p0, s6)) | m_processor_v_abort(c_p0, s6) | node34(c_p0, s6, s7) | (~node38(c_p0, s6, s7)))),
% 49.05/31.69 inference(rewrite,[status(thm)],[])).
% 49.05/31.69 tff(2445,plain,
% 49.05/31.69 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s6, s7) | (~m_processor_v_master(c_p0, s6)) | (~node38(c_p0, s6, s7)) | m_processor_v_abort(c_p0, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p0, s6)) | m_processor_v_abort(c_p0, s6) | node34(c_p0, s6, s7) | (~node38(c_p0, s6, s7))))),
% 49.05/31.69 inference(monotonicity,[status(thm)],[2444])).
% 49.05/31.69 tff(2446,plain,
% 49.05/31.69 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s6, s7) | (~m_processor_v_master(c_p0, s6)) | (~node38(c_p0, s6, s7)) | m_processor_v_abort(c_p0, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s6)) | m_processor_v_abort(c_p0, s6) | node34(c_p0, s6, s7) | (~node38(c_p0, s6, s7)))),
% 49.05/31.69 inference(transitivity,[status(thm)],[2445, 2443])).
% 49.05/31.69 tff(2447,plain,
% 49.05/31.69 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s6, s7) | (~m_processor_v_master(c_p0, s6)) | (~node38(c_p0, s6, s7)) | m_processor_v_abort(c_p0, s6))),
% 49.05/31.69 inference(quant_inst,[status(thm)],[])).
% 49.05/31.69 tff(2448,plain,
% 49.05/31.69 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s6)) | m_processor_v_abort(c_p0, s6) | node34(c_p0, s6, s7) | (~node38(c_p0, s6, s7))),
% 49.05/31.69 inference(modus_ponens,[status(thm)],[2447, 2446])).
% 49.05/31.69 tff(2449,plain,
% 49.05/31.69 ((~m_processor_v_master(c_p0, s6)) | m_processor_v_abort(c_p0, s6) | node34(c_p0, s6, s7)),
% 49.05/31.69 inference(unit_resolution,[status(thm)],[2448, 283, 2349])).
% 49.05/31.69 tff(2450,plain,
% 49.05/31.69 (m_processor_v_abort(c_p0, s6)),
% 49.05/31.69 inference(unit_resolution,[status(thm)],[2449, 2442, 2441])).
% 49.05/31.69 tff(2451,plain,
% 49.05/31.69 (m_processor_v_state(c_p0, s6, c_invalid)),
% 49.05/31.69 inference(unit_resolution,[status(thm)],[819, 813, 5])).
% 49.05/31.69 tff(2452,plain,
% 49.05/31.69 (m_processor_v_master(c_p0, s6)),
% 49.05/31.69 inference(unit_resolution,[status(thm)],[2434, 2451, 2358])).
% 49.05/31.69 tff(2453,plain,
% 49.05/31.69 (m_processor_v_abort(c_p0, s6)),
% 49.05/31.69 inference(unit_resolution,[status(thm)],[2449, 2452, 2442])).
% 49.05/31.69 tff(2454,plain,
% 49.05/31.69 (node32(c_p0, s6, s7)),
% 49.05/31.69 inference(unit_resolution,[status(thm)],[2356, 2453])).
% 49.05/31.69 tff(2455,plain,
% 49.05/31.69 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~node32(c_p0, s6, s7)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~node32(c_p0, s6, s7)))),
% 49.05/31.69 inference(rewrite,[status(thm)],[])).
% 49.05/31.69 tff(2456,plain,
% 49.05/31.69 (((~node32(c_p0, s6, s7)) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_state(c_p0, s7, c_owned))) <=> (m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~node32(c_p0, s6, s7)))),
% 49.05/31.69 inference(rewrite,[status(thm)],[])).
% 49.05/31.69 tff(2457,plain,
% 49.05/31.69 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p0, s6, s7)) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_state(c_p0, s7, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~node32(c_p0, s6, s7))))),
% 49.05/31.69 inference(monotonicity,[status(thm)],[2456])).
% 49.05/31.69 tff(2458,plain,
% 49.05/31.69 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p0, s6, s7)) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_state(c_p0, s7, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~node32(c_p0, s6, s7)))),
% 49.05/31.69 inference(transitivity,[status(thm)],[2457, 2455])).
% 49.05/31.69 tff(2459,plain,
% 49.05/31.69 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p0, s6, s7)) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_state(c_p0, s7, c_owned)))),
% 49.05/31.69 inference(quant_inst,[status(thm)],[])).
% 49.05/31.69 tff(2460,plain,
% 49.05/31.69 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~node32(c_p0, s6, s7))),
% 49.05/31.69 inference(modus_ponens,[status(thm)],[2459, 2458])).
% 49.05/31.69 tff(2461,plain,
% 49.05/31.69 (~m_processor_v_state(c_p0, s7, c_owned)),
% 49.05/31.69 inference(unit_resolution,[status(thm)],[2460, 261, 5, 2454])).
% 49.05/31.69 tff(2462,plain,
% 49.05/31.69 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_state(c_p0, s7, c_shared)) | (~node32(c_p0, s6, s7)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_state(c_p0, s7, c_shared)) | (~node32(c_p0, s6, s7)))),
% 49.05/31.69 inference(rewrite,[status(thm)],[])).
% 49.05/31.69 tff(2463,plain,
% 49.05/31.69 (((~node32(c_p0, s6, s7)) | m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_state(c_p0, s7, c_shared))) <=> (m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_state(c_p0, s7, c_shared)) | (~node32(c_p0, s6, s7)))),
% 49.05/31.69 inference(rewrite,[status(thm)],[])).
% 49.05/31.69 tff(2464,plain,
% 49.05/31.69 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p0, s6, s7)) | m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_state(c_p0, s7, c_shared)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_state(c_p0, s7, c_shared)) | (~node32(c_p0, s6, s7))))),
% 49.05/31.69 inference(monotonicity,[status(thm)],[2463])).
% 49.05/31.69 tff(2465,plain,
% 49.05/31.69 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p0, s6, s7)) | m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_state(c_p0, s7, c_shared)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_state(c_p0, s7, c_shared)) | (~node32(c_p0, s6, s7)))),
% 49.05/31.69 inference(transitivity,[status(thm)],[2464, 2462])).
% 49.05/31.69 tff(2466,plain,
% 49.05/31.69 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p0, s6, s7)) | m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_state(c_p0, s7, c_shared)))),
% 49.05/31.69 inference(quant_inst,[status(thm)],[])).
% 49.05/31.69 tff(2467,plain,
% 49.05/31.69 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_state(c_p0, s7, c_shared)) | (~node32(c_p0, s6, s7))),
% 49.05/31.70 inference(modus_ponens,[status(thm)],[2466, 2465])).
% 49.05/31.70 tff(2468,plain,
% 49.05/31.70 (~m_processor_v_state(c_p0, s7, c_shared)),
% 49.05/31.70 inference(unit_resolution,[status(thm)],[2467, 261, 813, 2454])).
% 49.05/31.70 tff(2469,plain,
% 49.05/31.70 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p0, s7, c_owned) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_state(c_p0, s7, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p0, s7, c_owned) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_state(c_p0, s7, c_invalid))),
% 49.05/31.70 inference(rewrite,[status(thm)],[])).
% 49.05/31.70 tff(2470,plain,
% 49.05/31.70 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p0, s7, c_owned) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_state(c_p0, s7, c_invalid))),
% 49.05/31.70 inference(quant_inst,[status(thm)],[])).
% 49.05/31.70 tff(2471,plain,
% 49.05/31.70 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p0, s7, c_owned) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_state(c_p0, s7, c_invalid)),
% 49.05/31.70 inference(modus_ponens,[status(thm)],[2470, 2469])).
% 49.05/31.70 tff(2472,plain,
% 49.05/31.70 ($false),
% 49.05/31.70 inference(unit_resolution,[status(thm)],[2471, 153, 3, 2326, 2358])).
% 49.05/31.70 tff(2473,plain,(m_processor_v_state(c_p0, s7, c_owned) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_state(c_p0, s7, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.70 tff(2474,plain,
% 49.05/31.70 ($false),
% 49.05/31.70 inference(unit_resolution,[status(thm)],[2473, 2468, 2461, 2358])).
% 49.05/31.70 tff(2475,plain,(m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s7, c_invalid) | m_processor_v_state(c_p0, s6, c_owned) | node34(c_p0, s6, s7)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.70 tff(2476,plain,
% 49.05/31.70 (m_processor_v_state(c_p0, s6, c_shared)),
% 49.05/31.70 inference(unit_resolution,[status(thm)],[2475, 2442, 2358, 5])).
% 49.05/31.70 tff(2477,plain,
% 49.05/31.70 (~node32(c_p0, s6, s7)),
% 49.05/31.70 inference(unit_resolution,[status(thm)],[2335, 2476, 2326])).
% 49.05/31.70 tff(2478,plain,
% 49.05/31.70 ($false),
% 49.05/31.70 inference(unit_resolution,[status(thm)],[2356, 2477, 2450])).
% 49.05/31.70 tff(2479,plain,(node34(c_p0, s6, s7) | m_processor_v_state(c_p0, s7, c_shared) | (~m_processor_v_master(c_p0, s6)) | m_processor_v_state(c_p0, s7, c_invalid) | m_processor_v_state(c_p0, s6, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.70 tff(2480,plain,
% 49.05/31.70 (node34(c_p0, s6, s7)),
% 49.05/31.70 inference(unit_resolution,[status(thm)],[2479, 2440, 2325, 2317, 5])).
% 49.05/31.70 tff(2481,assumption,(node34(c_p0, s6, s7)), introduced(assumption)).
% 49.05/31.70 tff(2482,plain,
% 49.05/31.70 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~m_processor_v_CMD(c_p0, s6, c_read_h_shared)) | m_processor_v_state(c_p0, s7, c_shared) | (~node34(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)) | m_processor_v_state(c_p0, s7, c_shared) | (~node34(c_p0, s6, s7)))),
% 49.05/31.70 inference(rewrite,[status(thm)],[])).
% 49.05/31.70 tff(2483,plain,
% 49.05/31.70 (((~node34(c_p0, s6, s7)) | m_processor_v_state(c_p0, s7, c_shared) | (~m_processor_v_CMD(c_p0, s6, c_read_h_shared))) <=> ((~m_processor_v_CMD(c_p0, s6, c_read_h_shared)) | m_processor_v_state(c_p0, s7, c_shared) | (~node34(c_p0, s6, s7)))),
% 49.05/31.70 inference(rewrite,[status(thm)],[])).
% 49.05/31.70 tff(2484,plain,
% 49.05/31.70 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s6, s7)) | m_processor_v_state(c_p0, s7, c_shared) | (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~m_processor_v_CMD(c_p0, s6, c_read_h_shared)) | m_processor_v_state(c_p0, s7, c_shared) | (~node34(c_p0, s6, s7))))),
% 49.05/31.70 inference(monotonicity,[status(thm)],[2483])).
% 49.05/31.70 tff(2485,plain,
% 49.05/31.70 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s6, s7)) | m_processor_v_state(c_p0, s7, c_shared) | (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)) | m_processor_v_state(c_p0, s7, c_shared) | (~node34(c_p0, s6, s7)))),
% 49.05/31.70 inference(transitivity,[status(thm)],[2484, 2482])).
% 49.05/31.70 tff(2486,plain,
% 49.05/31.70 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s6, s7)) | m_processor_v_state(c_p0, s7, c_shared) | (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)))),
% 49.05/31.70 inference(quant_inst,[status(thm)],[])).
% 49.05/31.70 tff(2487,plain,
% 49.05/31.70 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)) | m_processor_v_state(c_p0, s7, c_shared) | (~node34(c_p0, s6, s7))),
% 49.05/31.70 inference(modus_ponens,[status(thm)],[2486, 2485])).
% 49.05/31.70 tff(2488,plain,
% 49.05/31.70 (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)),
% 49.05/31.70 inference(unit_resolution,[status(thm)],[2487, 416, 2326, 2481])).
% 49.05/31.70 tff(2489,assumption,(~node33(c_p0, s6, s7)), introduced(assumption)).
% 49.05/31.70 tff(2490,assumption,(~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)), introduced(assumption)).
% 49.05/31.70 tff(2491,plain,
% 49.05/31.70 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_invalid)) | m_processor_v_state(c_p0, s7, c_invalid) | (~node34(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_invalid)) | m_processor_v_state(c_p0, s7, c_invalid) | (~node34(c_p0, s6, s7)))),
% 49.05/31.70 inference(rewrite,[status(thm)],[])).
% 49.05/31.70 tff(2492,plain,
% 49.05/31.70 (((~node34(c_p0, s6, s7)) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_state(c_p0, s7, c_invalid) | (~m_processor_v_CMD(c_p0, s6, c_write_h_invalid))) <=> (m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_invalid)) | m_processor_v_state(c_p0, s7, c_invalid) | (~node34(c_p0, s6, s7)))),
% 49.05/31.70 inference(rewrite,[status(thm)],[])).
% 49.05/31.70 tff(2493,plain,
% 49.05/31.70 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s6, s7)) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_state(c_p0, s7, c_invalid) | (~m_processor_v_CMD(c_p0, s6, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_invalid)) | m_processor_v_state(c_p0, s7, c_invalid) | (~node34(c_p0, s6, s7))))),
% 49.05/31.70 inference(monotonicity,[status(thm)],[2492])).
% 49.05/31.70 tff(2494,plain,
% 49.05/31.70 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s6, s7)) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_state(c_p0, s7, c_invalid) | (~m_processor_v_CMD(c_p0, s6, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_invalid)) | m_processor_v_state(c_p0, s7, c_invalid) | (~node34(c_p0, s6, s7)))),
% 49.05/31.70 inference(transitivity,[status(thm)],[2493, 2491])).
% 49.05/31.70 tff(2495,plain,
% 49.05/31.70 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s6, s7)) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_state(c_p0, s7, c_invalid) | (~m_processor_v_CMD(c_p0, s6, c_write_h_invalid)))),
% 49.05/31.70 inference(quant_inst,[status(thm)],[])).
% 49.05/31.70 tff(2496,plain,
% 49.05/31.70 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_invalid)) | m_processor_v_state(c_p0, s7, c_invalid) | (~node34(c_p0, s6, s7))),
% 49.05/31.70 inference(modus_ponens,[status(thm)],[2495, 2494])).
% 49.05/31.70 tff(2497,plain,
% 49.05/31.70 (m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_invalid))),
% 49.05/31.70 inference(unit_resolution,[status(thm)],[2496, 512, 2358, 2481])).
% 49.05/31.70 tff(2498,plain,
% 49.05/31.70 (~m_processor_v_CMD(c_p0, s6, c_write_h_invalid)),
% 49.05/31.70 inference(unit_resolution,[status(thm)],[2497, 2439, 2488])).
% 49.05/31.70 tff(2499,plain,
% 49.05/31.70 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_shared)) | m_processor_v_state(c_p0, s7, c_shared) | (~node34(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_shared)) | m_processor_v_state(c_p0, s7, c_shared) | (~node34(c_p0, s6, s7)))),
% 49.05/31.70 inference(rewrite,[status(thm)],[])).
% 49.05/31.70 tff(2500,plain,
% 49.05/31.70 (((~node34(c_p0, s6, s7)) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s6, c_write_h_shared))) <=> (m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_shared)) | m_processor_v_state(c_p0, s7, c_shared) | (~node34(c_p0, s6, s7)))),
% 49.05/31.70 inference(rewrite,[status(thm)],[])).
% 49.05/31.70 tff(2501,plain,
% 49.05/31.70 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s6, s7)) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s6, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_shared)) | m_processor_v_state(c_p0, s7, c_shared) | (~node34(c_p0, s6, s7))))),
% 49.05/31.70 inference(monotonicity,[status(thm)],[2500])).
% 49.05/31.70 tff(2502,plain,
% 49.05/31.70 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s6, s7)) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s6, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_shared)) | m_processor_v_state(c_p0, s7, c_shared) | (~node34(c_p0, s6, s7)))),
% 49.05/31.70 inference(transitivity,[status(thm)],[2501, 2499])).
% 49.05/31.70 tff(2503,plain,
% 49.05/31.70 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s6, s7)) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s6, c_write_h_shared)))),
% 49.05/31.70 inference(quant_inst,[status(thm)],[])).
% 49.05/31.70 tff(2504,plain,
% 49.05/31.70 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_shared)) | m_processor_v_state(c_p0, s7, c_shared) | (~node34(c_p0, s6, s7))),
% 49.05/31.70 inference(modus_ponens,[status(thm)],[2503, 2502])).
% 49.05/31.70 tff(2505,plain,
% 49.05/31.70 (m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_shared))),
% 49.05/31.70 inference(unit_resolution,[status(thm)],[2504, 456, 2326, 2481])).
% 49.05/31.70 tff(2506,plain,
% 49.05/31.70 (~m_processor_v_CMD(c_p0, s6, c_write_h_shared)),
% 49.05/31.70 inference(unit_resolution,[status(thm)],[2505, 2498, 2490, 2439, 2488])).
% 49.05/31.70 tff(2507,plain,
% 49.05/31.70 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_shared) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | node33(c_p0, s6, s7) | (~node34(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_shared) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | node33(c_p0, s6, s7) | (~node34(c_p0, s6, s7)))),
% 49.05/31.70 inference(rewrite,[status(thm)],[])).
% 49.05/31.70 tff(2508,plain,
% 49.05/31.70 ((node33(c_p0, s6, s7) | (~node34(c_p0, s6, s7)) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_shared) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_shared) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | node33(c_p0, s6, s7) | (~node34(c_p0, s6, s7)))),
% 49.05/31.70 inference(rewrite,[status(thm)],[])).
% 49.05/31.70 tff(2509,plain,
% 49.05/31.70 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s6, s7) | (~node34(c_p0, s6, s7)) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_shared) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_shared) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | node33(c_p0, s6, s7) | (~node34(c_p0, s6, s7))))),
% 49.05/31.70 inference(monotonicity,[status(thm)],[2508])).
% 49.05/31.70 tff(2510,plain,
% 49.05/31.70 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s6, s7) | (~node34(c_p0, s6, s7)) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_shared) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_shared) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | node33(c_p0, s6, s7) | (~node34(c_p0, s6, s7)))),
% 49.05/31.70 inference(transitivity,[status(thm)],[2509, 2507])).
% 49.05/31.70 tff(2511,plain,
% 49.05/31.70 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s6, s7) | (~node34(c_p0, s6, s7)) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_shared) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared))),
% 49.05/31.70 inference(quant_inst,[status(thm)],[])).
% 49.05/31.70 tff(2512,plain,
% 49.05/31.70 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_shared) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | node33(c_p0, s6, s7) | (~node34(c_p0, s6, s7))),
% 49.05/31.70 inference(modus_ponens,[status(thm)],[2511, 2510])).
% 49.05/31.70 tff(2513,plain,
% 49.05/31.70 (m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_shared) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_shared)),
% 49.05/31.71 inference(unit_resolution,[status(thm)],[2512, 474, 2481, 2489])).
% 49.05/31.71 tff(2514,plain,
% 49.05/31.71 (m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)),
% 49.05/31.71 inference(unit_resolution,[status(thm)],[2513, 2506, 2498, 2490, 2439, 2488])).
% 49.05/31.71 tff(2515,plain,
% 49.05/31.71 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_shared) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_state(c_p0, s7, c_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)) | (~node34(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_shared) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_state(c_p0, s7, c_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)) | (~node34(c_p0, s6, s7)))),
% 49.05/31.71 inference(rewrite,[status(thm)],[])).
% 49.05/31.71 tff(2516,plain,
% 49.05/31.71 (((~node34(c_p0, s6, s7)) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared))) <=> (m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_shared) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_state(c_p0, s7, c_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)) | (~node34(c_p0, s6, s7)))),
% 49.05/31.71 inference(rewrite,[status(thm)],[])).
% 49.05/31.71 tff(2517,plain,
% 49.05/31.71 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s6, s7)) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_shared) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_state(c_p0, s7, c_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)) | (~node34(c_p0, s6, s7))))),
% 49.05/31.71 inference(monotonicity,[status(thm)],[2516])).
% 49.05/31.71 tff(2518,plain,
% 49.05/31.71 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s6, s7)) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_shared) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_state(c_p0, s7, c_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)) | (~node34(c_p0, s6, s7)))),
% 49.05/31.71 inference(transitivity,[status(thm)],[2517, 2515])).
% 49.05/31.71 tff(2519,plain,
% 49.05/31.71 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s6, s7)) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)))),
% 49.05/31.71 inference(quant_inst,[status(thm)],[])).
% 49.05/31.71 tff(2520,plain,
% 49.05/31.71 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_shared) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_state(c_p0, s7, c_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)) | (~node34(c_p0, s6, s7))),
% 49.05/31.71 inference(modus_ponens,[status(thm)],[2519, 2518])).
% 49.05/31.71 tff(2521,plain,
% 49.05/31.71 (m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_shared) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared))),
% 49.05/31.71 inference(unit_resolution,[status(thm)],[2520, 492, 2326, 2481])).
% 49.05/31.71 tff(2522,plain,
% 49.05/31.71 ($false),
% 49.05/31.71 inference(unit_resolution,[status(thm)],[2521, 2514, 2506, 2498, 2490, 2439, 2488])).
% 49.05/31.71 tff(2523,plain,(m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s7, c_shared) | (~node34(c_p0, s6, s7)) | node33(c_p0, s6, s7) | m_processor_v_state(c_p0, s7, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.71 tff(2524,plain,
% 49.05/31.71 (m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)),
% 49.05/31.71 inference(unit_resolution,[status(thm)],[2523, 2439, 2326, 2358, 2481, 2489])).
% 49.05/31.71 tff(2525,plain,
% 49.05/31.71 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p0, s7, c_invalid) | (~node34(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p0, s7, c_invalid) | (~node34(c_p0, s6, s7)))),
% 49.05/31.71 inference(rewrite,[status(thm)],[])).
% 49.05/31.71 tff(2526,plain,
% 49.05/31.71 (((~node34(c_p0, s6, s7)) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_state(c_p0, s7, c_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid))) <=> (m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p0, s7, c_invalid) | (~node34(c_p0, s6, s7)))),
% 49.05/31.71 inference(rewrite,[status(thm)],[])).
% 49.05/31.71 tff(2527,plain,
% 49.05/31.71 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s6, s7)) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_state(c_p0, s7, c_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p0, s7, c_invalid) | (~node34(c_p0, s6, s7))))),
% 49.05/31.71 inference(monotonicity,[status(thm)],[2526])).
% 49.05/31.71 tff(2528,plain,
% 49.05/31.71 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s6, s7)) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_state(c_p0, s7, c_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p0, s7, c_invalid) | (~node34(c_p0, s6, s7)))),
% 49.05/31.71 inference(transitivity,[status(thm)],[2527, 2525])).
% 49.05/31.71 tff(2529,plain,
% 49.05/31.71 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s6, s7)) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_state(c_p0, s7, c_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)))),
% 49.05/31.71 inference(quant_inst,[status(thm)],[])).
% 49.05/31.71 tff(2530,plain,
% 49.05/31.71 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p0, s7, c_invalid) | (~node34(c_p0, s6, s7))),
% 49.05/31.71 inference(modus_ponens,[status(thm)],[2529, 2528])).
% 49.05/31.71 tff(2531,plain,
% 49.05/31.71 (m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid))),
% 49.05/31.71 inference(unit_resolution,[status(thm)],[2530, 438, 2358, 2481])).
% 49.05/31.71 tff(2532,plain,
% 49.05/31.71 ($false),
% 49.05/31.71 inference(unit_resolution,[status(thm)],[2531, 2498, 2524, 2488, 2439])).
% 49.05/31.71 tff(2533,plain,(m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_state(c_p0, s7, c_invalid) | (~node34(c_p0, s6, s7)) | m_processor_v_state(c_p0, s7, c_shared) | node33(c_p0, s6, s7)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.71 tff(2534,plain,
% 49.05/31.71 (node33(c_p0, s6, s7)),
% 49.05/31.71 inference(unit_resolution,[status(thm)],[2533, 2480, 2317, 2325, 2439])).
% 49.05/31.71 tff(2535,plain,
% 49.05/31.71 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~node33(c_p0, s6, s7)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~node33(c_p0, s6, s7)))),
% 49.05/31.71 inference(rewrite,[status(thm)],[])).
% 49.05/31.71 tff(2536,plain,
% 49.05/31.71 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~node33(c_p0, s6, s7)))),
% 49.05/31.71 inference(quant_inst,[status(thm)],[])).
% 49.05/31.71 tff(2537,plain,
% 49.05/31.71 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~node33(c_p0, s6, s7))),
% 49.05/31.71 inference(modus_ponens,[status(thm)],[2536, 2535])).
% 49.05/31.71 tff(2538,plain,
% 49.05/31.71 ($false),
% 49.05/31.71 inference(unit_resolution,[status(thm)],[2537, 830, 5, 2313, 2534])).
% 49.05/31.71 tff(2539,plain,(m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_CMD(c_p0, s6, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.71 tff(2540,plain,
% 49.05/31.71 (m_processor_v_CMD(c_p0, s6, c_read_h_owned)),
% 49.05/31.71 inference(unit_resolution,[status(thm)],[2539, 2313, 5])).
% 49.05/31.71 tff(2541,assumption,(~m_processor_v_waiting(c_p0, s7)), introduced(assumption)).
% 49.05/31.71 tff(2542,plain,
% 49.05/31.71 ($false),
% 49.05/31.71 inference(unit_resolution,[status(thm)],[2460, 261, 5, 2313, 2327])).
% 49.05/31.71 tff(2543,plain,((~node32(c_p0, s6, s7)) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_state(c_p0, s7, c_owned))), inference(lemma,lemma(discharge,[]))).
% 49.05/31.71 tff(2544,plain,
% 49.05/31.71 (~node32(c_p0, s6, s7)),
% 49.05/31.71 inference(unit_resolution,[status(thm)],[2543, 2313, 5])).
% 49.05/31.71 tff(2545,plain,
% 49.05/31.71 (~m_processor_v_abort(c_p0, s6)),
% 49.05/31.71 inference(unit_resolution,[status(thm)],[2356, 2544])).
% 49.05/31.71 tff(2546,plain,
% 49.05/31.71 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s6, s7)) | node53(c_p0, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s6, s7)) | node53(c_p0, s6, s7))),
% 49.05/31.71 inference(rewrite,[status(thm)],[])).
% 49.05/31.71 tff(2547,plain,
% 49.05/31.71 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s6, s7)) | node53(c_p0, s6, s7))),
% 49.05/31.71 inference(quant_inst,[status(thm)],[])).
% 49.05/31.71 tff(2548,plain,
% 49.05/31.71 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s6, s7)) | node53(c_p0, s6, s7)),
% 49.05/31.71 inference(modus_ponens,[status(thm)],[2547, 2546])).
% 49.05/31.71 tff(2549,plain,
% 49.05/31.71 (node53(c_p0, s6, s7)),
% 49.05/31.71 inference(unit_resolution,[status(thm)],[2548, 575, 2344])).
% 49.05/31.71 tff(2550,plain,
% 49.05/31.71 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s6)) | m_processor_v_abort(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_read_h_owned)) | m_processor_v_waiting(c_p0, s7) | (~node53(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s6)) | m_processor_v_abort(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_read_h_owned)) | m_processor_v_waiting(c_p0, s7) | (~node53(c_p0, s6, s7)))),
% 49.05/31.71 inference(rewrite,[status(thm)],[])).
% 49.05/31.71 tff(2551,plain,
% 49.05/31.71 ((m_processor_v_waiting(c_p0, s7) | (~m_processor_v_CMD(c_p0, s6, c_read_h_owned)) | (~m_processor_v_master(c_p0, s6)) | m_processor_v_abort(c_p0, s6) | node47(c_p0, s6) | (~node53(c_p0, s6, s7))) <=> ((~m_processor_v_master(c_p0, s6)) | m_processor_v_abort(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_read_h_owned)) | m_processor_v_waiting(c_p0, s7) | (~node53(c_p0, s6, s7)))),
% 49.05/31.71 inference(rewrite,[status(thm)],[])).
% 49.05/31.71 tff(2552,plain,
% 49.05/31.71 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s7) | (~m_processor_v_CMD(c_p0, s6, c_read_h_owned)) | (~m_processor_v_master(c_p0, s6)) | m_processor_v_abort(c_p0, s6) | node47(c_p0, s6) | (~node53(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s6)) | m_processor_v_abort(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_read_h_owned)) | m_processor_v_waiting(c_p0, s7) | (~node53(c_p0, s6, s7))))),
% 49.05/31.71 inference(monotonicity,[status(thm)],[2551])).
% 49.05/31.71 tff(2553,plain,
% 49.05/31.71 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s7) | (~m_processor_v_CMD(c_p0, s6, c_read_h_owned)) | (~m_processor_v_master(c_p0, s6)) | m_processor_v_abort(c_p0, s6) | node47(c_p0, s6) | (~node53(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s6)) | m_processor_v_abort(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_read_h_owned)) | m_processor_v_waiting(c_p0, s7) | (~node53(c_p0, s6, s7)))),
% 49.05/31.71 inference(transitivity,[status(thm)],[2552, 2550])).
% 49.05/31.71 tff(2554,plain,
% 49.05/31.71 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s7) | (~m_processor_v_CMD(c_p0, s6, c_read_h_owned)) | (~m_processor_v_master(c_p0, s6)) | m_processor_v_abort(c_p0, s6) | node47(c_p0, s6) | (~node53(c_p0, s6, s7)))),
% 49.05/31.71 inference(quant_inst,[status(thm)],[])).
% 49.05/31.71 tff(2555,plain,
% 49.05/31.71 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s6)) | m_processor_v_abort(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_read_h_owned)) | m_processor_v_waiting(c_p0, s7) | (~node53(c_p0, s6, s7))),
% 49.05/31.71 inference(modus_ponens,[status(thm)],[2554, 2553])).
% 49.05/31.71 tff(2556,plain,
% 49.05/31.71 ((~m_processor_v_master(c_p0, s6)) | m_processor_v_abort(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_read_h_owned)) | m_processor_v_waiting(c_p0, s7)),
% 49.05/31.71 inference(unit_resolution,[status(thm)],[2555, 640, 2549])).
% 49.05/31.71 tff(2557,plain,
% 49.05/31.71 (node47(c_p0, s6)),
% 49.05/31.71 inference(unit_resolution,[status(thm)],[2556, 2545, 2541, 2540, 2438])).
% 49.05/31.71 tff(2558,plain,
% 49.05/31.71 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s6)) | m_processor_v_abort(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)) | m_processor_v_waiting(c_p0, s7) | (~node53(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s6)) | m_processor_v_abort(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)) | m_processor_v_waiting(c_p0, s7) | (~node53(c_p0, s6, s7)))),
% 49.05/31.71 inference(rewrite,[status(thm)],[])).
% 49.05/31.71 tff(2559,plain,
% 49.05/31.71 ((m_processor_v_waiting(c_p0, s7) | (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)) | (~m_processor_v_master(c_p0, s6)) | m_processor_v_abort(c_p0, s6) | (~node53(c_p0, s6, s7))) <=> ((~m_processor_v_master(c_p0, s6)) | m_processor_v_abort(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)) | m_processor_v_waiting(c_p0, s7) | (~node53(c_p0, s6, s7)))),
% 49.05/31.71 inference(rewrite,[status(thm)],[])).
% 49.05/31.71 tff(2560,plain,
% 49.05/31.71 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s7) | (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)) | (~m_processor_v_master(c_p0, s6)) | m_processor_v_abort(c_p0, s6) | (~node53(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s6)) | m_processor_v_abort(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)) | m_processor_v_waiting(c_p0, s7) | (~node53(c_p0, s6, s7))))),
% 49.05/31.71 inference(monotonicity,[status(thm)],[2559])).
% 49.05/31.71 tff(2561,plain,
% 49.05/31.71 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s7) | (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)) | (~m_processor_v_master(c_p0, s6)) | m_processor_v_abort(c_p0, s6) | (~node53(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s6)) | m_processor_v_abort(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)) | m_processor_v_waiting(c_p0, s7) | (~node53(c_p0, s6, s7)))),
% 49.05/31.72 inference(transitivity,[status(thm)],[2560, 2558])).
% 49.05/31.72 tff(2562,plain,
% 49.05/31.72 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s7) | (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)) | (~m_processor_v_master(c_p0, s6)) | m_processor_v_abort(c_p0, s6) | (~node53(c_p0, s6, s7)))),
% 49.05/31.72 inference(quant_inst,[status(thm)],[])).
% 49.05/31.72 tff(2563,plain,
% 49.05/31.72 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s6)) | m_processor_v_abort(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)) | m_processor_v_waiting(c_p0, s7) | (~node53(c_p0, s6, s7))),
% 49.05/31.72 inference(modus_ponens,[status(thm)],[2562, 2561])).
% 49.05/31.72 tff(2564,plain,
% 49.05/31.72 ((~m_processor_v_master(c_p0, s6)) | m_processor_v_abort(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)) | m_processor_v_waiting(c_p0, s7)),
% 49.05/31.72 inference(unit_resolution,[status(thm)],[2563, 589, 2549])).
% 49.05/31.72 tff(2565,plain,
% 49.05/31.72 (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)),
% 49.05/31.72 inference(unit_resolution,[status(thm)],[2564, 2545, 2541, 2438])).
% 49.05/31.72 tff(2566,plain,
% 49.05/31.72 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~node47(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~node47(c_p0, s6)))),
% 49.05/31.72 inference(rewrite,[status(thm)],[])).
% 49.05/31.72 tff(2567,plain,
% 49.05/31.72 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~node47(c_p0, s6)))),
% 49.05/31.72 inference(quant_inst,[status(thm)],[])).
% 49.05/31.72 tff(2568,plain,
% 49.05/31.72 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~node47(c_p0, s6))),
% 49.05/31.72 inference(modus_ponens,[status(thm)],[2567, 2566])).
% 49.05/31.72 tff(2569,plain,
% 49.05/31.72 ($false),
% 49.05/31.72 inference(unit_resolution,[status(thm)],[2568, 657, 2565, 2557])).
% 49.05/31.72 tff(2570,plain,((~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_waiting(c_p0, s7) | m_processor_v_state(c_p0, s6, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.72 tff(2571,plain,
% 49.05/31.72 (m_processor_v_waiting(c_p0, s7)),
% 49.05/31.72 inference(unit_resolution,[status(thm)],[2570, 2312, 5])).
% 49.05/31.72 tff(2572,plain,
% 49.05/31.72 (((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p0, s7)) | (~node56(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p0, s7)) | (~node56(c_p0, s7)))),
% 49.05/31.72 inference(rewrite,[status(thm)],[])).
% 49.05/31.72 tff(2573,plain,
% 49.05/31.72 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p0, s7)) | (~node56(c_p0, s7)))),
% 49.05/31.72 inference(quant_inst,[status(thm)],[])).
% 49.05/31.72 tff(2574,plain,
% 49.05/31.72 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p0, s7)) | (~node56(c_p0, s7))),
% 49.05/31.72 inference(modus_ponens,[status(thm)],[2573, 2572])).
% 49.05/31.72 tff(2575,plain,
% 49.05/31.72 ($false),
% 49.05/31.72 inference(unit_resolution,[status(thm)],[2574, 540, 2571, 2306])).
% 49.05/31.72 tff(2576,plain,((~node56(c_p0, s7)) | m_processor_v_state(c_p0, s6, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.72 tff(2577,plain,
% 49.05/31.72 (~node56(c_p0, s7)),
% 49.05/31.72 inference(unit_resolution,[status(thm)],[2576, 2305])).
% 49.05/31.72 tff(2578,assumption,(m_processor_v_writable(c_p0, s7)), introduced(assumption)).
% 49.05/31.72 tff(2579,assumption,(~node56(c_p0, s7)), introduced(assumption)).
% 49.05/31.72 tff(2580,plain,
% 49.05/31.72 (((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s7)) | node56(c_p0, s7))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s7)) | node56(c_p0, s7))),
% 49.05/31.72 inference(rewrite,[status(thm)],[])).
% 49.05/31.72 tff(2581,plain,
% 49.05/31.72 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s7)) | node56(c_p0, s7))),
% 49.05/31.72 inference(quant_inst,[status(thm)],[])).
% 49.05/31.72 tff(2582,plain,
% 49.05/31.72 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s7)) | node56(c_p0, s7)),
% 49.05/31.72 inference(modus_ponens,[status(thm)],[2581, 2580])).
% 49.05/31.72 tff(2583,plain,
% 49.05/31.72 ($false),
% 49.05/31.72 inference(unit_resolution,[status(thm)],[2582, 28, 2579, 2578])).
% 49.05/31.72 tff(2584,plain,((~m_processor_v_writable(c_p0, s7)) | node56(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.72 tff(2585,plain,
% 49.05/31.72 (~m_processor_v_writable(c_p0, s7)),
% 49.05/31.72 inference(unit_resolution,[status(thm)],[2584, 2577])).
% 49.05/31.72 tff(2586,assumption,(~m_processor_v_writable(c_p0, s7)), introduced(assumption)).
% 49.05/31.72 tff(2587,assumption,(node67(s7)), introduced(assumption)).
% 49.05/31.72 tff(2588,plain,
% 49.05/31.72 (((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s7) | (~node67(s7)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | m_processor_v_writable(c_p0, s7) | (~node67(s7)))),
% 49.05/31.72 inference(rewrite,[status(thm)],[])).
% 49.05/31.72 tff(2589,plain,
% 49.05/31.72 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s7) | (~node67(s7)))),
% 49.05/31.72 inference(quant_inst,[status(thm)],[])).
% 49.05/31.72 tff(2590,plain,
% 49.05/31.72 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | m_processor_v_writable(c_p0, s7) | (~node67(s7))),
% 49.05/31.72 inference(modus_ponens,[status(thm)],[2589, 2588])).
% 49.05/31.72 tff(2591,plain,
% 49.05/31.72 ($false),
% 49.05/31.72 inference(unit_resolution,[status(thm)],[2590, 43, 2587, 2586])).
% 49.05/31.72 tff(2592,plain,((~node67(s7)) | m_processor_v_writable(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.72 tff(2593,plain,
% 49.05/31.72 (~node67(s7)),
% 49.05/31.72 inference(unit_resolution,[status(thm)],[2592, 2585])).
% 49.05/31.72 tff(2594,assumption,(node67(s3)), introduced(assumption)).
% 49.05/31.72 tff(2595,assumption,(m_processor_v_state(c_p1, s3, c_owned)), introduced(assumption)).
% 49.05/31.72 tff(2596,assumption,(~m_processor_v_writable(c_p1, s3)), introduced(assumption)).
% 49.05/31.72 tff(2597,plain,
% 49.05/31.72 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | ((~node67(s3)) | m_processor_v_writable(c_p1, s3))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (~node67(s3)) | m_processor_v_writable(c_p1, s3))),
% 49.05/31.72 inference(rewrite,[status(thm)],[])).
% 49.05/31.72 tff(2598,plain,
% 49.05/31.72 ((m_processor_v_writable(c_p1, s3) | (~node67(s3))) <=> ((~node67(s3)) | m_processor_v_writable(c_p1, s3))),
% 49.05/31.72 inference(rewrite,[status(thm)],[])).
% 49.05/31.72 tff(2599,plain,
% 49.05/31.72 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s3) | (~node67(s3)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | ((~node67(s3)) | m_processor_v_writable(c_p1, s3)))),
% 49.05/31.72 inference(monotonicity,[status(thm)],[2598])).
% 49.05/31.72 tff(2600,plain,
% 49.05/31.72 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s3) | (~node67(s3)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (~node67(s3)) | m_processor_v_writable(c_p1, s3))),
% 49.05/31.72 inference(transitivity,[status(thm)],[2599, 2597])).
% 49.05/31.72 tff(2601,plain,
% 49.05/31.72 ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s3) | (~node67(s3)))),
% 49.05/31.72 inference(quant_inst,[status(thm)],[])).
% 49.05/31.72 tff(2602,plain,
% 49.05/31.72 ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (~node67(s3)) | m_processor_v_writable(c_p1, s3)),
% 49.05/31.72 inference(modus_ponens,[status(thm)],[2601, 2600])).
% 49.05/31.72 tff(2603,plain,
% 49.05/31.72 ($false),
% 49.05/31.72 inference(unit_resolution,[status(thm)],[2602, 98, 2596, 2594])).
% 49.05/31.72 tff(2604,plain,((~node67(s3)) | m_processor_v_writable(c_p1, s3)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.72 tff(2605,plain,
% 49.05/31.72 (m_processor_v_writable(c_p1, s3)),
% 49.05/31.72 inference(unit_resolution,[status(thm)],[2604, 2594])).
% 49.05/31.72 tff(2606,assumption,(m_processor_v_writable(c_p1, s3)), introduced(assumption)).
% 49.05/31.72 tff(2607,assumption,(~node56(c_p1, s3)), introduced(assumption)).
% 49.05/31.72 tff(2608,plain,
% 49.05/31.72 (((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p1, s3)) | node56(c_p1, s3))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p1, s3)) | node56(c_p1, s3))),
% 49.05/31.72 inference(rewrite,[status(thm)],[])).
% 49.05/31.72 tff(2609,plain,
% 49.05/31.72 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p1, s3)) | node56(c_p1, s3))),
% 49.05/31.72 inference(quant_inst,[status(thm)],[])).
% 49.05/31.72 tff(2610,plain,
% 49.05/31.72 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p1, s3)) | node56(c_p1, s3)),
% 49.05/31.72 inference(modus_ponens,[status(thm)],[2609, 2608])).
% 49.05/31.72 tff(2611,plain,
% 49.05/31.72 ($false),
% 49.05/31.72 inference(unit_resolution,[status(thm)],[2610, 28, 2607, 2606])).
% 49.05/31.72 tff(2612,plain,((~m_processor_v_writable(c_p1, s3)) | node56(c_p1, s3)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.72 tff(2613,plain,
% 49.05/31.72 (node56(c_p1, s3)),
% 49.05/31.72 inference(unit_resolution,[status(thm)],[2612, 2605])).
% 49.05/31.72 tff(2614,plain,
% 49.05/31.72 (((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p1, s3)) | (~node56(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p1, s3)) | (~node56(c_p1, s3)))),
% 49.05/31.72 inference(rewrite,[status(thm)],[])).
% 49.05/31.72 tff(2615,plain,
% 49.05/31.72 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p1, s3)) | (~node56(c_p1, s3)))),
% 49.05/31.72 inference(quant_inst,[status(thm)],[])).
% 49.05/31.72 tff(2616,plain,
% 49.05/31.72 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p1, s3)) | (~node56(c_p1, s3))),
% 49.05/31.72 inference(modus_ponens,[status(thm)],[2615, 2614])).
% 49.05/31.72 tff(2617,plain,
% 49.05/31.72 (~m_processor_v_waiting(c_p1, s3)),
% 49.05/31.72 inference(unit_resolution,[status(thm)],[2616, 540, 2613])).
% 49.05/31.72 tff(2618,plain,
% 49.05/31.72 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_owned)))),
% 49.05/31.72 inference(rewrite,[status(thm)],[])).
% 49.05/31.72 tff(2619,plain,
% 49.05/31.72 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_owned)))),
% 49.05/31.72 inference(quant_inst,[status(thm)],[])).
% 49.05/31.72 tff(2620,plain,
% 49.05/31.72 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_owned))),
% 49.05/31.72 inference(modus_ponens,[status(thm)],[2619, 2618])).
% 49.05/31.72 tff(2621,plain,
% 49.05/31.72 (~m_processor_v_state(c_p1, s3, c_invalid)),
% 49.05/31.72 inference(unit_resolution,[status(thm)],[2620, 137, 2595])).
% 49.05/31.72 tff(2622,assumption,(~m_processor_v_master(c_p0, s2)), introduced(assumption)).
% 49.05/31.72 tff(2623,assumption,(~m_processor_v_writable(c_p0, s3)), introduced(assumption)).
% 49.05/31.72 tff(2624,plain,
% 49.05/31.72 (((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | ((~node67(s3)) | m_processor_v_writable(c_p0, s3))) <=> ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (~node67(s3)) | m_processor_v_writable(c_p0, s3))),
% 49.05/31.72 inference(rewrite,[status(thm)],[])).
% 49.05/31.72 tff(2625,plain,
% 49.05/31.72 ((m_processor_v_writable(c_p0, s3) | (~node67(s3))) <=> ((~node67(s3)) | m_processor_v_writable(c_p0, s3))),
% 49.05/31.72 inference(rewrite,[status(thm)],[])).
% 49.05/31.72 tff(2626,plain,
% 49.05/31.72 (((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s3) | (~node67(s3)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | ((~node67(s3)) | m_processor_v_writable(c_p0, s3)))),
% 49.05/31.72 inference(monotonicity,[status(thm)],[2625])).
% 49.05/31.72 tff(2627,plain,
% 49.05/31.72 (((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s3) | (~node67(s3)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (~node67(s3)) | m_processor_v_writable(c_p0, s3))),
% 49.05/31.72 inference(transitivity,[status(thm)],[2626, 2624])).
% 49.05/31.72 tff(2628,plain,
% 49.05/31.72 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s3) | (~node67(s3)))),
% 49.05/31.72 inference(quant_inst,[status(thm)],[])).
% 49.05/31.72 tff(2629,plain,
% 49.05/31.72 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (~node67(s3)) | m_processor_v_writable(c_p0, s3)),
% 49.05/31.72 inference(modus_ponens,[status(thm)],[2628, 2627])).
% 49.05/31.72 tff(2630,plain,
% 49.05/31.72 ($false),
% 49.05/31.72 inference(unit_resolution,[status(thm)],[2629, 43, 2594, 2623])).
% 49.05/31.72 tff(2631,plain,((~node67(s3)) | m_processor_v_writable(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.72 tff(2632,plain,
% 49.05/31.72 (m_processor_v_writable(c_p0, s3)),
% 49.05/31.72 inference(unit_resolution,[status(thm)],[2631, 2594])).
% 49.05/31.72 tff(2633,assumption,(m_processor_v_writable(c_p0, s3)), introduced(assumption)).
% 49.05/31.72 tff(2634,assumption,(~node56(c_p0, s3)), introduced(assumption)).
% 49.05/31.72 tff(2635,plain,
% 49.05/31.72 (((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s3)) | node56(c_p0, s3))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s3)) | node56(c_p0, s3))),
% 49.05/31.72 inference(rewrite,[status(thm)],[])).
% 49.05/31.72 tff(2636,plain,
% 49.05/31.72 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s3)) | node56(c_p0, s3))),
% 49.05/31.72 inference(quant_inst,[status(thm)],[])).
% 49.05/31.72 tff(2637,plain,
% 49.05/31.72 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s3)) | node56(c_p0, s3)),
% 49.05/31.72 inference(modus_ponens,[status(thm)],[2636, 2635])).
% 49.05/31.72 tff(2638,plain,
% 49.05/31.72 ($false),
% 49.05/31.72 inference(unit_resolution,[status(thm)],[2637, 28, 2634, 2633])).
% 49.05/31.72 tff(2639,plain,(node56(c_p0, s3) | (~m_processor_v_writable(c_p0, s3))), inference(lemma,lemma(discharge,[]))).
% 49.05/31.72 tff(2640,plain,
% 49.05/31.72 (node56(c_p0, s3)),
% 49.05/31.72 inference(unit_resolution,[status(thm)],[2639, 2632])).
% 49.05/31.72 tff(2641,assumption,(node56(c_p0, s3)), introduced(assumption)).
% 49.05/31.72 tff(2642,assumption,(~m_processor_v_state(c_p0, s3, c_owned)), introduced(assumption)).
% 49.05/31.72 tff(2643,plain,
% 49.05/31.72 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | ((~node56(c_p0, s3)) | m_processor_v_state(c_p0, s3, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (~node56(c_p0, s3)) | m_processor_v_state(c_p0, s3, c_owned))),
% 49.05/31.72 inference(rewrite,[status(thm)],[])).
% 49.05/31.72 tff(2644,plain,
% 49.05/31.72 ((m_processor_v_state(c_p0, s3, c_owned) | (~node56(c_p0, s3))) <=> ((~node56(c_p0, s3)) | m_processor_v_state(c_p0, s3, c_owned))),
% 49.05/31.72 inference(rewrite,[status(thm)],[])).
% 49.05/31.72 tff(2645,plain,
% 49.05/31.72 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s3, c_owned) | (~node56(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | ((~node56(c_p0, s3)) | m_processor_v_state(c_p0, s3, c_owned)))),
% 49.05/31.72 inference(monotonicity,[status(thm)],[2644])).
% 49.05/31.72 tff(2646,plain,
% 49.05/31.72 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s3, c_owned) | (~node56(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (~node56(c_p0, s3)) | m_processor_v_state(c_p0, s3, c_owned))),
% 49.05/31.72 inference(transitivity,[status(thm)],[2645, 2643])).
% 49.05/31.72 tff(2647,plain,
% 49.05/31.72 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s3, c_owned) | (~node56(c_p0, s3)))),
% 49.05/31.72 inference(quant_inst,[status(thm)],[])).
% 49.05/31.72 tff(2648,plain,
% 49.05/31.72 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (~node56(c_p0, s3)) | m_processor_v_state(c_p0, s3, c_owned)),
% 49.05/31.72 inference(modus_ponens,[status(thm)],[2647, 2646])).
% 49.05/31.72 tff(2649,plain,
% 49.05/31.72 ($false),
% 49.05/31.72 inference(unit_resolution,[status(thm)],[2648, 13, 2642, 2641])).
% 49.05/31.72 tff(2650,plain,(m_processor_v_state(c_p0, s3, c_owned) | (~node56(c_p0, s3))), inference(lemma,lemma(discharge,[]))).
% 49.05/31.72 tff(2651,plain,
% 49.05/31.72 (m_processor_v_state(c_p0, s3, c_owned)),
% 49.05/31.72 inference(unit_resolution,[status(thm)],[2650, 2640])).
% 49.05/31.72 tff(2652,assumption,(m_processor_v_state(c_p0, s3, c_owned)), introduced(assumption)).
% 49.05/31.72 tff(2653,assumption,(m_processor_v_state(c_p0, s3, c_shared)), introduced(assumption)).
% 49.05/31.72 tff(2654,plain,
% 49.05/31.72 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_state(c_p0, s3, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_state(c_p0, s3, c_shared)))),
% 49.05/31.72 inference(rewrite,[status(thm)],[])).
% 49.05/31.72 tff(2655,plain,
% 49.05/31.72 (((~m_processor_v_state(c_p0, s3, c_shared)) | (~m_processor_v_state(c_p0, s3, c_owned))) <=> ((~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_state(c_p0, s3, c_shared)))),
% 49.05/31.72 inference(rewrite,[status(thm)],[])).
% 49.05/31.72 tff(2656,plain,
% 49.05/31.72 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | (~m_processor_v_state(c_p0, s3, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_state(c_p0, s3, c_shared))))),
% 49.05/31.72 inference(monotonicity,[status(thm)],[2655])).
% 49.05/31.72 tff(2657,plain,
% 49.05/31.72 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | (~m_processor_v_state(c_p0, s3, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_state(c_p0, s3, c_shared)))),
% 49.05/31.72 inference(transitivity,[status(thm)],[2656, 2654])).
% 49.05/31.72 tff(2658,plain,
% 49.05/31.72 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | (~m_processor_v_state(c_p0, s3, c_owned)))),
% 49.05/31.72 inference(quant_inst,[status(thm)],[])).
% 49.05/31.72 tff(2659,plain,
% 49.05/31.72 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_state(c_p0, s3, c_shared))),
% 49.05/31.72 inference(modus_ponens,[status(thm)],[2658, 2657])).
% 49.05/31.72 tff(2660,plain,
% 49.05/31.72 ($false),
% 49.05/31.72 inference(unit_resolution,[status(thm)],[2659, 121, 2653, 2652])).
% 49.05/31.72 tff(2661,plain,((~m_processor_v_state(c_p0, s3, c_shared)) | (~m_processor_v_state(c_p0, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 49.05/31.72 tff(2662,plain,
% 49.05/31.72 (~m_processor_v_state(c_p0, s3, c_shared)),
% 49.05/31.72 inference(unit_resolution,[status(thm)],[2661, 2652])).
% 49.05/31.72 tff(2663,plain,
% 49.05/31.72 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | (~m_processor_v_state(c_p0, s3, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s3, c_invalid)) | (~m_processor_v_state(c_p0, s3, c_owned)))),
% 49.05/31.72 inference(rewrite,[status(thm)],[])).
% 49.05/31.72 tff(2664,plain,
% 49.05/31.72 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | (~m_processor_v_state(c_p0, s3, c_owned)))),
% 49.05/31.72 inference(quant_inst,[status(thm)],[])).
% 49.05/31.72 tff(2665,plain,
% 49.05/31.72 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s3, c_invalid)) | (~m_processor_v_state(c_p0, s3, c_owned))),
% 49.05/31.72 inference(modus_ponens,[status(thm)],[2664, 2663])).
% 49.05/31.72 tff(2666,plain,
% 49.05/31.72 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 49.05/31.72 inference(unit_resolution,[status(thm)],[2665, 137, 2652])).
% 49.05/31.72 tff(2667,assumption,(~m_processor_v_state(c_p0, s2, c_owned)), introduced(assumption)).
% 49.05/31.72 tff(2668,assumption,(~m_processor_v_state(c_p0, s2, c_shared)), introduced(assumption)).
% 49.05/31.72 tff(2669,plain,
% 49.05/31.72 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p0, s2, c_shared) | (~node36(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p0, s2, c_shared) | (~node36(c_p0, s2)))),
% 49.05/31.72 inference(rewrite,[status(thm)],[])).
% 49.05/31.72 tff(2670,plain,
% 49.05/31.72 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p0, s2, c_shared) | (~node36(c_p0, s2)))),
% 49.05/31.72 inference(quant_inst,[status(thm)],[])).
% 49.05/31.72 tff(2671,plain,
% 49.05/31.72 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p0, s2, c_shared) | (~node36(c_p0, s2))),
% 49.05/31.72 inference(modus_ponens,[status(thm)],[2670, 2669])).
% 49.05/31.72 tff(2672,plain,
% 49.05/31.72 (~node36(c_p0, s2)),
% 49.05/31.72 inference(unit_resolution,[status(thm)],[2671, 167, 2668])).
% 49.05/31.72 tff(2673,plain,
% 49.05/31.72 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node37(c_p0, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node37(c_p0, s2, s3)))),
% 49.05/31.72 inference(rewrite,[status(thm)],[])).
% 49.05/31.72 tff(2674,plain,
% 49.05/31.72 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node37(c_p0, s2, s3)))),
% 49.05/31.72 inference(quant_inst,[status(thm)],[])).
% 49.05/31.72 tff(2675,plain,
% 49.05/31.72 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node37(c_p0, s2, s3))),
% 49.05/31.72 inference(modus_ponens,[status(thm)],[2674, 2673])).
% 49.05/31.72 tff(2676,plain,
% 49.05/31.72 (~node37(c_p0, s2, s3)),
% 49.05/31.72 inference(unit_resolution,[status(thm)],[2675, 182, 2667, 2652])).
% 49.05/31.72 tff(2677,assumption,(~node38(c_p0, s2, s3)), introduced(assumption)).
% 49.05/31.72 tff(2678,plain,
% 49.05/31.72 (succ(s2, s3) <=> succ(s2, s3)),
% 49.05/31.72 inference(rewrite,[status(thm)],[])).
% 49.05/31.72 tff(2679,axiom,(succ(s2, s3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound3')).
% 49.05/31.72 tff(2680,plain,
% 49.05/31.72 (succ(s2, s3)),
% 49.05/31.72 inference(modus_ponens,[status(thm)],[2679, 2678])).
% 49.05/31.72 tff(2681,plain,
% 49.05/31.72 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s2, s3)) | trans(s2, s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s2, s3)) | trans(s2, s3))),
% 49.05/31.72 inference(rewrite,[status(thm)],[])).
% 49.05/31.72 tff(2682,plain,
% 49.05/31.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s2, s3)) | trans(s2, s3))),
% 49.05/31.72 inference(quant_inst,[status(thm)],[])).
% 49.05/31.72 tff(2683,plain,
% 49.05/31.72 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s2, s3)) | trans(s2, s3)),
% 49.05/31.72 inference(modus_ponens,[status(thm)],[2682, 2681])).
% 49.05/31.72 tff(2684,plain,
% 49.05/31.72 (trans(s2, s3)),
% 49.05/31.72 inference(unit_resolution,[status(thm)],[2683, 2680, 196])).
% 49.05/31.72 tff(2685,plain,
% 49.05/31.72 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s2, s3)) | node38(c_p0, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s2, s3)) | node38(c_p0, s2, s3))),
% 49.05/31.72 inference(rewrite,[status(thm)],[])).
% 49.05/31.72 tff(2686,plain,
% 49.05/31.72 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s2, s3)) | node38(c_p0, s2, s3))),
% 49.05/31.72 inference(quant_inst,[status(thm)],[])).
% 49.05/31.72 tff(2687,plain,
% 49.05/31.72 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s2, s3)) | node38(c_p0, s2, s3)),
% 49.05/31.72 inference(modus_ponens,[status(thm)],[2686, 2685])).
% 49.05/31.72 tff(2688,plain,
% 49.05/31.72 ($false),
% 49.05/31.72 inference(unit_resolution,[status(thm)],[2687, 210, 2684, 2677])).
% 49.05/31.72 tff(2689,plain,(node38(c_p0, s2, s3)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.72 tff(2690,plain,
% 49.05/31.72 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_abort(c_p0, s2) | node36(c_p0, s2) | node37(c_p0, s2, s3) | (~node38(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_abort(c_p0, s2) | node36(c_p0, s2) | node37(c_p0, s2, s3) | (~node38(c_p0, s2, s3)))),
% 49.05/31.72 inference(rewrite,[status(thm)],[])).
% 49.05/31.72 tff(2691,plain,
% 49.05/31.72 ((m_processor_v_state(c_p0, s2, c_shared) | node36(c_p0, s2) | m_processor_v_master(c_p0, s2) | node37(c_p0, s2, s3) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2)) <=> (m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_abort(c_p0, s2) | node36(c_p0, s2) | node37(c_p0, s2, s3) | (~node38(c_p0, s2, s3)))),
% 49.05/31.72 inference(rewrite,[status(thm)],[])).
% 49.05/31.72 tff(2692,plain,
% 49.05/31.72 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s2, c_shared) | node36(c_p0, s2) | m_processor_v_master(c_p0, s2) | node37(c_p0, s2, s3) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_abort(c_p0, s2) | node36(c_p0, s2) | node37(c_p0, s2, s3) | (~node38(c_p0, s2, s3))))),
% 49.05/31.72 inference(monotonicity,[status(thm)],[2691])).
% 49.05/31.72 tff(2693,plain,
% 49.05/31.72 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s2, c_shared) | node36(c_p0, s2) | m_processor_v_master(c_p0, s2) | node37(c_p0, s2, s3) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_abort(c_p0, s2) | node36(c_p0, s2) | node37(c_p0, s2, s3) | (~node38(c_p0, s2, s3)))),
% 49.05/31.72 inference(transitivity,[status(thm)],[2692, 2690])).
% 49.05/31.72 tff(2694,plain,
% 49.05/31.72 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s2, c_shared) | node36(c_p0, s2) | m_processor_v_master(c_p0, s2) | node37(c_p0, s2, s3) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2))),
% 49.05/31.72 inference(quant_inst,[status(thm)],[])).
% 49.05/31.72 tff(2695,plain,
% 49.05/31.72 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_abort(c_p0, s2) | node36(c_p0, s2) | node37(c_p0, s2, s3) | (~node38(c_p0, s2, s3))),
% 49.05/31.73 inference(modus_ponens,[status(thm)],[2694, 2693])).
% 49.05/31.73 tff(2696,plain,
% 49.05/31.73 (m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_abort(c_p0, s2) | node36(c_p0, s2) | node37(c_p0, s2, s3)),
% 49.05/31.73 inference(unit_resolution,[status(thm)],[2695, 225, 2689])).
% 49.05/31.73 tff(2697,plain,
% 49.05/31.73 (m_processor_v_abort(c_p0, s2)),
% 49.05/31.73 inference(unit_resolution,[status(thm)],[2696, 2676, 2668, 2672, 2622])).
% 49.05/31.73 tff(2698,plain,
% 49.05/31.73 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | ((~m_processor_v_abort(c_p0, s2)) | node32(c_p0, s2, s3) | (~node38(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~m_processor_v_abort(c_p0, s2)) | node32(c_p0, s2, s3) | (~node38(c_p0, s2, s3)))),
% 49.05/31.73 inference(rewrite,[status(thm)],[])).
% 49.05/31.73 tff(2699,plain,
% 49.05/31.73 ((node32(c_p0, s2, s3) | (~node38(c_p0, s2, s3)) | (~m_processor_v_abort(c_p0, s2))) <=> ((~m_processor_v_abort(c_p0, s2)) | node32(c_p0, s2, s3) | (~node38(c_p0, s2, s3)))),
% 49.05/31.73 inference(rewrite,[status(thm)],[])).
% 49.05/31.73 tff(2700,plain,
% 49.05/31.73 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s2, s3) | (~node38(c_p0, s2, s3)) | (~m_processor_v_abort(c_p0, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | ((~m_processor_v_abort(c_p0, s2)) | node32(c_p0, s2, s3) | (~node38(c_p0, s2, s3))))),
% 49.05/31.73 inference(monotonicity,[status(thm)],[2699])).
% 49.05/31.73 tff(2701,plain,
% 49.05/31.73 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s2, s3) | (~node38(c_p0, s2, s3)) | (~m_processor_v_abort(c_p0, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~m_processor_v_abort(c_p0, s2)) | node32(c_p0, s2, s3) | (~node38(c_p0, s2, s3)))),
% 49.05/31.73 inference(transitivity,[status(thm)],[2700, 2698])).
% 49.05/31.73 tff(2702,plain,
% 49.05/31.73 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s2, s3) | (~node38(c_p0, s2, s3)) | (~m_processor_v_abort(c_p0, s2)))),
% 49.05/31.73 inference(quant_inst,[status(thm)],[])).
% 49.05/31.73 tff(2703,plain,
% 49.05/31.73 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~m_processor_v_abort(c_p0, s2)) | node32(c_p0, s2, s3) | (~node38(c_p0, s2, s3))),
% 49.05/31.73 inference(modus_ponens,[status(thm)],[2702, 2701])).
% 49.05/31.73 tff(2704,plain,
% 49.05/31.73 ((~m_processor_v_abort(c_p0, s2)) | node32(c_p0, s2, s3)),
% 49.05/31.73 inference(unit_resolution,[status(thm)],[2703, 243, 2689])).
% 49.05/31.73 tff(2705,plain,
% 49.05/31.73 (node32(c_p0, s2, s3)),
% 49.05/31.73 inference(unit_resolution,[status(thm)],[2704, 2697])).
% 49.05/31.73 tff(2706,plain,
% 49.05/31.73 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p0, s2, c_owned) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p0, s2, c_owned) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid))),
% 49.05/31.73 inference(rewrite,[status(thm)],[])).
% 49.05/31.73 tff(2707,plain,
% 49.05/31.73 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p0, s2, c_owned) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid))),
% 49.05/31.73 inference(quant_inst,[status(thm)],[])).
% 49.05/31.73 tff(2708,plain,
% 49.05/31.73 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p0, s2, c_owned) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid)),
% 49.05/31.73 inference(modus_ponens,[status(thm)],[2707, 2706])).
% 49.05/31.73 tff(2709,plain,
% 49.05/31.73 (m_processor_v_state(c_p0, s2, c_owned) | m_processor_v_state(c_p0, s2, c_invalid)),
% 49.05/31.73 inference(unit_resolution,[status(thm)],[2708, 153, 2668])).
% 49.05/31.73 tff(2710,plain,
% 49.05/31.73 (m_processor_v_state(c_p0, s2, c_invalid)),
% 49.05/31.73 inference(unit_resolution,[status(thm)],[2709, 2667])).
% 49.05/31.73 tff(2711,plain,
% 49.05/31.73 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid) | (~node32(c_p0, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid) | (~node32(c_p0, s2, s3)))),
% 49.05/31.73 inference(rewrite,[status(thm)],[])).
% 49.05/31.73 tff(2712,plain,
% 49.05/31.73 (((~node32(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid)) <=> ((~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid) | (~node32(c_p0, s2, s3)))),
% 49.05/31.73 inference(rewrite,[status(thm)],[])).
% 49.05/31.73 tff(2713,plain,
% 49.05/31.73 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid) | (~node32(c_p0, s2, s3))))),
% 49.05/31.73 inference(monotonicity,[status(thm)],[2712])).
% 49.05/31.73 tff(2714,plain,
% 49.05/31.73 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid) | (~node32(c_p0, s2, s3)))),
% 49.05/31.73 inference(transitivity,[status(thm)],[2713, 2711])).
% 49.05/31.73 tff(2715,plain,
% 49.05/31.73 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid))),
% 49.05/31.73 inference(quant_inst,[status(thm)],[])).
% 49.05/31.73 tff(2716,plain,
% 49.05/31.73 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid) | (~node32(c_p0, s2, s3))),
% 49.05/31.73 inference(modus_ponens,[status(thm)],[2715, 2714])).
% 49.05/31.73 tff(2717,plain,
% 49.05/31.73 ($false),
% 49.05/31.73 inference(unit_resolution,[status(thm)],[2716, 380, 2710, 2666, 2705])).
% 49.05/31.73 tff(2718,plain,((~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s2, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.73 tff(2719,plain,
% 49.05/31.73 (m_processor_v_state(c_p0, s2, c_shared)),
% 49.05/31.73 inference(unit_resolution,[status(thm)],[2718, 2622, 2652, 2667])).
% 49.05/31.73 tff(2720,assumption,(~m_processor_v_CMD(c_p0, s2, c_read_h_owned)), introduced(assumption)).
% 49.05/31.73 tff(2721,assumption,(m_processor_v_state(c_p0, s2, c_shared)), introduced(assumption)).
% 49.05/31.73 tff(2722,assumption,(~m_processor_v_state(c_p0, s3, c_invalid)), introduced(assumption)).
% 49.05/31.73 tff(2723,assumption,(~m_processor_v_state(c_p0, s3, c_shared)), introduced(assumption)).
% 49.05/31.73 tff(2724,assumption,(node32(c_p0, s2, s3)), introduced(assumption)).
% 49.05/31.73 tff(2725,plain,
% 49.05/31.73 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared) | (~node32(c_p0, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared) | (~node32(c_p0, s2, s3)))),
% 49.05/31.73 inference(rewrite,[status(thm)],[])).
% 49.05/31.73 tff(2726,plain,
% 49.05/31.73 (((~node32(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared)) <=> ((~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared) | (~node32(c_p0, s2, s3)))),
% 49.05/31.73 inference(rewrite,[status(thm)],[])).
% 49.05/31.73 tff(2727,plain,
% 49.05/31.73 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared) | (~node32(c_p0, s2, s3))))),
% 49.05/31.73 inference(monotonicity,[status(thm)],[2726])).
% 49.05/31.73 tff(2728,plain,
% 49.05/31.73 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared) | (~node32(c_p0, s2, s3)))),
% 49.05/31.73 inference(transitivity,[status(thm)],[2727, 2725])).
% 49.05/31.73 tff(2729,plain,
% 49.05/31.73 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared))),
% 49.05/31.73 inference(quant_inst,[status(thm)],[])).
% 49.05/31.73 tff(2730,plain,
% 49.05/31.73 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared) | (~node32(c_p0, s2, s3))),
% 49.05/31.73 inference(modus_ponens,[status(thm)],[2729, 2728])).
% 49.05/31.73 tff(2731,plain,
% 49.05/31.73 ($false),
% 49.05/31.73 inference(unit_resolution,[status(thm)],[2730, 380, 2721, 2723, 2724])).
% 49.05/31.73 tff(2732,plain,((~node32(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.73 tff(2733,plain,
% 49.05/31.73 (~node32(c_p0, s2, s3)),
% 49.05/31.73 inference(unit_resolution,[status(thm)],[2732, 2721, 2723])).
% 49.05/31.73 tff(2734,plain,
% 49.05/31.73 (~m_processor_v_abort(c_p0, s2)),
% 49.05/31.73 inference(unit_resolution,[status(thm)],[2704, 2733])).
% 49.05/31.73 tff(2735,plain,
% 49.05/31.73 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_abort(c_p0, s2) | node36(c_p0, s2) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_abort(c_p0, s2) | node36(c_p0, s2) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)))),
% 49.05/31.73 inference(rewrite,[status(thm)],[])).
% 49.05/31.73 tff(2736,plain,
% 49.05/31.73 (((~m_processor_v_state(c_p0, s2, c_shared)) | node36(c_p0, s2) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2)) <=> (m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_abort(c_p0, s2) | node36(c_p0, s2) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)))),
% 49.05/31.73 inference(rewrite,[status(thm)],[])).
% 49.05/31.73 tff(2737,plain,
% 49.05/31.73 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | node36(c_p0, s2) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_abort(c_p0, s2) | node36(c_p0, s2) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3))))),
% 49.05/31.73 inference(monotonicity,[status(thm)],[2736])).
% 49.05/31.73 tff(2738,plain,
% 49.05/31.73 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | node36(c_p0, s2) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_abort(c_p0, s2) | node36(c_p0, s2) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)))),
% 49.05/31.73 inference(transitivity,[status(thm)],[2737, 2735])).
% 49.05/31.73 tff(2739,plain,
% 49.05/31.73 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | node36(c_p0, s2) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2))),
% 49.05/31.73 inference(quant_inst,[status(thm)],[])).
% 49.05/31.73 tff(2740,plain,
% 49.05/31.73 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_abort(c_p0, s2) | node36(c_p0, s2) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3))),
% 49.05/31.73 inference(modus_ponens,[status(thm)],[2739, 2738])).
% 49.05/31.73 tff(2741,plain,
% 49.05/31.73 (m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_abort(c_p0, s2) | node36(c_p0, s2) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s3, c_invalid)),
% 49.05/31.73 inference(unit_resolution,[status(thm)],[2740, 341, 2689])).
% 49.05/31.73 tff(2742,plain,
% 49.05/31.73 (node36(c_p0, s2)),
% 49.05/31.73 inference(unit_resolution,[status(thm)],[2741, 2734, 2723, 2722, 2721, 2622])).
% 49.05/31.73 tff(2743,assumption,(~m_processor_v_CMD(c_p0, s2, c_invalidate)), introduced(assumption)).
% 49.05/31.73 tff(2744,assumption,(node36(c_p0, s2)), introduced(assumption)).
% 49.05/31.73 tff(2745,plain,
% 49.05/31.73 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | (~node36(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_invalidate))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | (~node36(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_invalidate))),
% 49.05/31.73 inference(rewrite,[status(thm)],[])).
% 49.05/31.73 tff(2746,plain,
% 49.05/31.73 ((m_processor_v_CMD(c_p0, s2, c_invalidate) | (~node36(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_read_h_owned)) <=> (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | (~node36(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_invalidate))),
% 49.05/31.73 inference(rewrite,[status(thm)],[])).
% 49.05/31.73 tff(2747,plain,
% 49.05/31.73 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s2, c_invalidate) | (~node36(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | (~node36(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_invalidate)))),
% 49.05/31.73 inference(monotonicity,[status(thm)],[2746])).
% 49.05/31.73 tff(2748,plain,
% 49.05/31.73 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s2, c_invalidate) | (~node36(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | (~node36(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_invalidate))),
% 49.05/31.73 inference(transitivity,[status(thm)],[2747, 2745])).
% 49.05/31.73 tff(2749,plain,
% 49.05/31.73 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s2, c_invalidate) | (~node36(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_read_h_owned))),
% 49.05/31.73 inference(quant_inst,[status(thm)],[])).
% 49.05/31.73 tff(2750,plain,
% 49.05/31.73 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | (~node36(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_invalidate)),
% 49.05/31.73 inference(modus_ponens,[status(thm)],[2749, 2748])).
% 49.05/31.73 tff(2751,plain,
% 49.05/31.73 ($false),
% 49.05/31.73 inference(unit_resolution,[status(thm)],[2750, 359, 2744, 2720, 2743])).
% 49.05/31.73 tff(2752,plain,((~node36(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_invalidate)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.73 tff(2753,plain,
% 49.05/31.73 (m_processor_v_CMD(c_p0, s2, c_invalidate)),
% 49.05/31.73 inference(unit_resolution,[status(thm)],[2752, 2742, 2720])).
% 49.05/31.73 tff(2754,plain,
% 49.05/31.73 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p0, s2) | m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_abort(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p0, s2) | m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_abort(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)))),
% 49.05/31.73 inference(rewrite,[status(thm)],[])).
% 49.05/31.73 tff(2755,plain,
% 49.05/31.73 (((~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_master(c_p0, s2) | node35(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2)) <=> (node35(c_p0, s2) | m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_abort(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)))),
% 49.05/31.73 inference(rewrite,[status(thm)],[])).
% 49.05/31.73 tff(2756,plain,
% 49.05/31.73 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_master(c_p0, s2) | node35(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p0, s2) | m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_abort(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3))))),
% 49.05/31.73 inference(monotonicity,[status(thm)],[2755])).
% 49.05/31.73 tff(2757,plain,
% 49.05/31.73 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_master(c_p0, s2) | node35(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p0, s2) | m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_abort(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)))),
% 49.05/31.73 inference(transitivity,[status(thm)],[2756, 2754])).
% 49.05/31.73 tff(2758,plain,
% 49.05/31.73 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_master(c_p0, s2) | node35(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2))),
% 49.05/31.73 inference(quant_inst,[status(thm)],[])).
% 49.05/31.73 tff(2759,plain,
% 49.05/31.73 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p0, s2) | m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_abort(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | (~node38(c_p0, s2, s3))),
% 49.05/31.73 inference(modus_ponens,[status(thm)],[2758, 2757])).
% 49.05/31.73 tff(2760,plain,
% 49.05/31.73 (node35(c_p0, s2) | m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_abort(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid)),
% 49.05/31.73 inference(unit_resolution,[status(thm)],[2759, 301, 2689])).
% 49.05/31.73 tff(2761,plain,
% 49.05/31.73 (node35(c_p0, s2)),
% 49.05/31.73 inference(unit_resolution,[status(thm)],[2760, 2734, 2722, 2721, 2622])).
% 49.05/31.73 tff(2762,plain,
% 49.05/31.73 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s2, c_invalidate)) | (~node35(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s2, c_invalidate)) | (~node35(c_p0, s2)))),
% 49.05/31.73 inference(rewrite,[status(thm)],[])).
% 49.05/31.73 tff(2763,plain,
% 49.05/31.73 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s2, c_invalidate)) | (~node35(c_p0, s2)))),
% 49.05/31.73 inference(quant_inst,[status(thm)],[])).
% 49.05/31.73 tff(2764,plain,
% 49.05/31.73 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s2, c_invalidate)) | (~node35(c_p0, s2))),
% 49.05/31.74 inference(modus_ponens,[status(thm)],[2763, 2762])).
% 49.05/31.74 tff(2765,plain,
% 49.05/31.74 ($false),
% 49.05/31.74 inference(unit_resolution,[status(thm)],[2764, 327, 2761, 2753])).
% 49.05/31.74 tff(2766,plain,((~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s3, c_shared)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.74 tff(2767,plain,
% 49.05/31.74 (m_processor_v_CMD(c_p0, s2, c_read_h_owned)),
% 49.05/31.74 inference(unit_resolution,[status(thm)],[2766, 2719, 2666, 2622, 2662])).
% 49.05/31.74 tff(2768,plain,
% 49.05/31.74 (~node32(c_p0, s2, s3)),
% 49.05/31.74 inference(unit_resolution,[status(thm)],[2732, 2719, 2662])).
% 49.05/31.74 tff(2769,plain,
% 49.05/31.74 (~m_processor_v_abort(c_p0, s2)),
% 49.05/31.74 inference(unit_resolution,[status(thm)],[2704, 2768])).
% 49.05/31.74 tff(2770,plain,
% 49.05/31.74 (node35(c_p0, s2)),
% 49.05/31.74 inference(unit_resolution,[status(thm)],[2760, 2769, 2666, 2719, 2622])).
% 49.05/31.74 tff(2771,plain,
% 49.05/31.74 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~node35(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~node35(c_p0, s2)))),
% 49.05/31.74 inference(rewrite,[status(thm)],[])).
% 49.05/31.74 tff(2772,plain,
% 49.05/31.74 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~node35(c_p0, s2)))),
% 49.05/31.74 inference(quant_inst,[status(thm)],[])).
% 49.05/31.74 tff(2773,plain,
% 49.05/31.74 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~node35(c_p0, s2))),
% 49.05/31.74 inference(modus_ponens,[status(thm)],[2772, 2771])).
% 49.05/31.74 tff(2774,plain,
% 49.05/31.74 ($false),
% 49.05/31.74 inference(unit_resolution,[status(thm)],[2773, 316, 2770, 2767])).
% 49.05/31.74 tff(2775,plain,(m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_state(c_p0, s2, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.74 tff(2776,plain,
% 49.05/31.74 (m_processor_v_state(c_p0, s2, c_owned)),
% 49.05/31.74 inference(unit_resolution,[status(thm)],[2775, 2651, 2622])).
% 49.05/31.74 tff(2777,plain,
% 49.05/31.74 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s2, c_invalid)) | (~m_processor_v_state(c_p0, s2, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s2, c_invalid)) | (~m_processor_v_state(c_p0, s2, c_owned)))),
% 49.05/31.74 inference(rewrite,[status(thm)],[])).
% 49.05/31.74 tff(2778,plain,
% 49.05/31.74 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s2, c_invalid)) | (~m_processor_v_state(c_p0, s2, c_owned)))),
% 49.05/31.74 inference(quant_inst,[status(thm)],[])).
% 49.05/31.74 tff(2779,plain,
% 49.05/31.74 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s2, c_invalid)) | (~m_processor_v_state(c_p0, s2, c_owned))),
% 49.05/31.74 inference(modus_ponens,[status(thm)],[2778, 2777])).
% 49.05/31.74 tff(2780,plain,
% 49.05/31.74 (~m_processor_v_state(c_p0, s2, c_invalid)),
% 49.05/31.74 inference(unit_resolution,[status(thm)],[2779, 137, 2776])).
% 49.05/31.74 tff(2781,assumption,(~m_processor_v_state(c_p1, s2, c_invalid)), introduced(assumption)).
% 49.05/31.74 tff(2782,assumption,(~m_processor_v_state(c_p0, s1, c_invalid)), introduced(assumption)).
% 49.05/31.74 tff(2783,assumption,(node32(c_p0, s0, s1)), introduced(assumption)).
% 49.05/31.74 tff(2784,assumption,(~m_processor_v_state(c_p0, s0, c_invalid)), introduced(assumption)).
% 49.05/31.74 tff(2785,plain,
% 49.05/31.74 (^[I0: $i] : refl(m_processor_v_state(I0, s0, c_invalid) <=> m_processor_v_state(I0, s0, c_invalid))),
% 49.05/31.74 inference(bind,[status(th)],[])).
% 49.05/31.74 tff(2786,plain,
% 49.05/31.74 (![I0: $i] : m_processor_v_state(I0, s0, c_invalid) <=> ![I0: $i] : m_processor_v_state(I0, s0, c_invalid)),
% 49.05/31.74 inference(quant_intro,[status(thm)],[2785])).
% 49.05/31.74 tff(2787,plain,
% 49.05/31.74 (![I0: $i] : m_processor_v_state(I0, s0, c_invalid) <=> ![I0: $i] : m_processor_v_state(I0, s0, c_invalid)),
% 49.05/31.74 inference(rewrite,[status(thm)],[])).
% 49.05/31.74 tff(2788,axiom,(![I0: $i] : m_processor_v_state(I0, s0, c_invalid)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_46')).
% 49.05/31.74 tff(2789,plain,
% 49.05/31.74 (![I0: $i] : m_processor_v_state(I0, s0, c_invalid)),
% 49.05/31.74 inference(modus_ponens,[status(thm)],[2788, 2787])).
% 49.05/31.74 tff(2790,plain,(
% 49.05/31.74 ![I0: $i] : m_processor_v_state(I0, s0, c_invalid)),
% 49.05/31.74 inference(skolemize,[status(sab)],[2789])).
% 49.05/31.74 tff(2791,plain,
% 49.05/31.74 (![I0: $i] : m_processor_v_state(I0, s0, c_invalid)),
% 49.05/31.74 inference(modus_ponens,[status(thm)],[2790, 2786])).
% 49.05/31.74 tff(2792,plain,
% 49.05/31.74 ((~![I0: $i] : m_processor_v_state(I0, s0, c_invalid)) | m_processor_v_state(c_p0, s0, c_invalid)),
% 49.05/31.74 inference(quant_inst,[status(thm)],[])).
% 49.05/31.74 tff(2793,plain,
% 49.05/31.74 ($false),
% 49.05/31.74 inference(unit_resolution,[status(thm)],[2792, 2791, 2784])).
% 49.05/31.74 tff(2794,plain,(m_processor_v_state(c_p0, s0, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.74 tff(2795,plain,
% 49.05/31.74 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s0, c_invalid)) | m_processor_v_state(c_p0, s1, c_invalid) | (~node32(c_p0, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s0, c_invalid)) | m_processor_v_state(c_p0, s1, c_invalid) | (~node32(c_p0, s0, s1)))),
% 49.05/31.74 inference(rewrite,[status(thm)],[])).
% 49.05/31.74 tff(2796,plain,
% 49.05/31.74 (((~node32(c_p0, s0, s1)) | (~m_processor_v_state(c_p0, s0, c_invalid)) | m_processor_v_state(c_p0, s1, c_invalid)) <=> ((~m_processor_v_state(c_p0, s0, c_invalid)) | m_processor_v_state(c_p0, s1, c_invalid) | (~node32(c_p0, s0, s1)))),
% 49.05/31.74 inference(rewrite,[status(thm)],[])).
% 49.05/31.74 tff(2797,plain,
% 49.05/31.74 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s0, s1)) | (~m_processor_v_state(c_p0, s0, c_invalid)) | m_processor_v_state(c_p0, s1, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s0, c_invalid)) | m_processor_v_state(c_p0, s1, c_invalid) | (~node32(c_p0, s0, s1))))),
% 49.05/31.74 inference(monotonicity,[status(thm)],[2796])).
% 49.05/31.74 tff(2798,plain,
% 49.05/31.74 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s0, s1)) | (~m_processor_v_state(c_p0, s0, c_invalid)) | m_processor_v_state(c_p0, s1, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s0, c_invalid)) | m_processor_v_state(c_p0, s1, c_invalid) | (~node32(c_p0, s0, s1)))),
% 49.05/31.74 inference(transitivity,[status(thm)],[2797, 2795])).
% 49.05/31.74 tff(2799,plain,
% 49.05/31.74 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s0, s1)) | (~m_processor_v_state(c_p0, s0, c_invalid)) | m_processor_v_state(c_p0, s1, c_invalid))),
% 49.05/31.74 inference(quant_inst,[status(thm)],[])).
% 49.05/31.74 tff(2800,plain,
% 49.05/31.74 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s0, c_invalid)) | m_processor_v_state(c_p0, s1, c_invalid) | (~node32(c_p0, s0, s1))),
% 49.05/31.74 inference(modus_ponens,[status(thm)],[2799, 2798])).
% 49.05/31.74 tff(2801,plain,
% 49.05/31.74 ($false),
% 49.05/31.74 inference(unit_resolution,[status(thm)],[2800, 380, 2794, 2783, 2782])).
% 49.05/31.74 tff(2802,plain,((~node32(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.74 tff(2803,plain,
% 49.05/31.74 (~node32(c_p0, s0, s1)),
% 49.05/31.74 inference(unit_resolution,[status(thm)],[2802, 2782])).
% 49.05/31.74 tff(2804,assumption,(~node38(c_p0, s0, s1)), introduced(assumption)).
% 49.05/31.74 tff(2805,plain,
% 49.05/31.74 (succ(s0, s1) <=> succ(s0, s1)),
% 49.05/31.74 inference(rewrite,[status(thm)],[])).
% 49.05/31.74 tff(2806,axiom,(succ(s0, s1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound1')).
% 49.05/31.74 tff(2807,plain,
% 49.05/31.74 (succ(s0, s1)),
% 49.05/31.74 inference(modus_ponens,[status(thm)],[2806, 2805])).
% 49.05/31.74 tff(2808,plain,
% 49.05/31.74 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s0, s1)) | trans(s0, s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s0, s1)) | trans(s0, s1))),
% 49.05/31.74 inference(rewrite,[status(thm)],[])).
% 49.05/31.74 tff(2809,plain,
% 49.05/31.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s0, s1)) | trans(s0, s1))),
% 49.05/31.74 inference(quant_inst,[status(thm)],[])).
% 49.05/31.74 tff(2810,plain,
% 49.05/31.74 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s0, s1)) | trans(s0, s1)),
% 49.05/31.74 inference(modus_ponens,[status(thm)],[2809, 2808])).
% 49.05/31.74 tff(2811,plain,
% 49.05/31.74 (trans(s0, s1)),
% 49.05/31.74 inference(unit_resolution,[status(thm)],[2810, 2807, 196])).
% 49.05/31.74 tff(2812,plain,
% 49.05/31.74 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s0, s1)) | node38(c_p0, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s0, s1)) | node38(c_p0, s0, s1))),
% 49.05/31.74 inference(rewrite,[status(thm)],[])).
% 49.05/31.74 tff(2813,plain,
% 49.05/31.74 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s0, s1)) | node38(c_p0, s0, s1))),
% 49.05/31.74 inference(quant_inst,[status(thm)],[])).
% 49.05/31.74 tff(2814,plain,
% 49.05/31.74 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s0, s1)) | node38(c_p0, s0, s1)),
% 49.05/31.74 inference(modus_ponens,[status(thm)],[2813, 2812])).
% 49.05/31.74 tff(2815,plain,
% 49.05/31.74 ($false),
% 49.05/31.74 inference(unit_resolution,[status(thm)],[2814, 210, 2811, 2804])).
% 49.05/31.74 tff(2816,plain,(node38(c_p0, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.74 tff(2817,plain,
% 49.05/31.74 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s0, s1) | (~node38(c_p0, s0, s1)) | (~m_processor_v_abort(c_p0, s0)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s0, s1) | (~node38(c_p0, s0, s1)) | (~m_processor_v_abort(c_p0, s0)))),
% 49.05/31.74 inference(rewrite,[status(thm)],[])).
% 49.05/31.74 tff(2818,plain,
% 49.05/31.74 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s0, s1) | (~node38(c_p0, s0, s1)) | (~m_processor_v_abort(c_p0, s0)))),
% 49.05/31.74 inference(quant_inst,[status(thm)],[])).
% 49.05/31.74 tff(2819,plain,
% 49.05/31.74 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s0, s1) | (~node38(c_p0, s0, s1)) | (~m_processor_v_abort(c_p0, s0))),
% 49.05/31.74 inference(modus_ponens,[status(thm)],[2818, 2817])).
% 49.05/31.74 tff(2820,plain,
% 49.05/31.74 (node32(c_p0, s0, s1) | (~m_processor_v_abort(c_p0, s0))),
% 49.05/31.74 inference(unit_resolution,[status(thm)],[2819, 243, 2816])).
% 49.05/31.74 tff(2821,plain,
% 49.05/31.74 (~m_processor_v_abort(c_p0, s0)),
% 49.05/31.74 inference(unit_resolution,[status(thm)],[2820, 2803])).
% 49.05/31.74 tff(2822,assumption,(~m_processor_v_master(c_p0, s0)), introduced(assumption)).
% 49.05/31.74 tff(2823,plain,
% 49.05/31.74 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p0, s0, c_invalid)) | (~m_processor_v_state(c_p0, s0, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p0, s0, c_invalid)) | (~m_processor_v_state(c_p0, s0, c_shared)))),
% 49.05/31.74 inference(rewrite,[status(thm)],[])).
% 49.05/31.74 tff(2824,plain,
% 49.05/31.74 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p0, s0, c_invalid)) | (~m_processor_v_state(c_p0, s0, c_shared)))),
% 49.05/31.74 inference(quant_inst,[status(thm)],[])).
% 49.05/31.74 tff(2825,plain,
% 49.05/31.74 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p0, s0, c_invalid)) | (~m_processor_v_state(c_p0, s0, c_shared))),
% 49.05/31.74 inference(modus_ponens,[status(thm)],[2824, 2823])).
% 49.05/31.74 tff(2826,plain,
% 49.05/31.74 (~m_processor_v_state(c_p0, s0, c_shared)),
% 49.05/31.74 inference(unit_resolution,[status(thm)],[2825, 977, 2794])).
% 49.05/31.74 tff(2827,plain,
% 49.05/31.74 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p0, s0, c_shared) | (~node36(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p0, s0, c_shared) | (~node36(c_p0, s0)))),
% 49.05/31.74 inference(rewrite,[status(thm)],[])).
% 49.05/31.74 tff(2828,plain,
% 49.05/31.74 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p0, s0, c_shared) | (~node36(c_p0, s0)))),
% 49.05/31.74 inference(quant_inst,[status(thm)],[])).
% 49.05/31.74 tff(2829,plain,
% 49.05/31.74 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p0, s0, c_shared) | (~node36(c_p0, s0))),
% 49.05/31.74 inference(modus_ponens,[status(thm)],[2828, 2827])).
% 49.05/31.74 tff(2830,plain,
% 49.05/31.74 (~node36(c_p0, s0)),
% 49.05/31.74 inference(unit_resolution,[status(thm)],[2829, 167, 2826])).
% 49.05/31.74 tff(2831,plain,
% 49.05/31.74 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s0) | m_processor_v_state(c_p0, s0, c_shared) | node36(c_p0, s0) | node37(c_p0, s0, s1) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s0) | m_processor_v_state(c_p0, s0, c_shared) | node36(c_p0, s0) | node37(c_p0, s0, s1) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0))),
% 49.05/31.74 inference(rewrite,[status(thm)],[])).
% 49.05/31.74 tff(2832,plain,
% 49.05/31.74 ((m_processor_v_state(c_p0, s0, c_shared) | node36(c_p0, s0) | m_processor_v_master(c_p0, s0) | node37(c_p0, s0, s1) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0)) <=> (m_processor_v_master(c_p0, s0) | m_processor_v_state(c_p0, s0, c_shared) | node36(c_p0, s0) | node37(c_p0, s0, s1) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0))),
% 49.05/31.74 inference(rewrite,[status(thm)],[])).
% 49.05/31.74 tff(2833,plain,
% 49.05/31.74 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s0, c_shared) | node36(c_p0, s0) | m_processor_v_master(c_p0, s0) | node37(c_p0, s0, s1) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s0) | m_processor_v_state(c_p0, s0, c_shared) | node36(c_p0, s0) | node37(c_p0, s0, s1) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0)))),
% 49.05/31.74 inference(monotonicity,[status(thm)],[2832])).
% 49.05/31.74 tff(2834,plain,
% 49.05/31.74 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s0, c_shared) | node36(c_p0, s0) | m_processor_v_master(c_p0, s0) | node37(c_p0, s0, s1) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s0) | m_processor_v_state(c_p0, s0, c_shared) | node36(c_p0, s0) | node37(c_p0, s0, s1) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0))),
% 49.05/31.74 inference(transitivity,[status(thm)],[2833, 2831])).
% 49.05/31.74 tff(2835,plain,
% 49.05/31.74 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s0, c_shared) | node36(c_p0, s0) | m_processor_v_master(c_p0, s0) | node37(c_p0, s0, s1) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0))),
% 49.05/31.74 inference(quant_inst,[status(thm)],[])).
% 49.05/31.74 tff(2836,plain,
% 49.05/31.74 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s0) | m_processor_v_state(c_p0, s0, c_shared) | node36(c_p0, s0) | node37(c_p0, s0, s1) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0)),
% 49.05/31.74 inference(modus_ponens,[status(thm)],[2835, 2834])).
% 49.05/31.74 tff(2837,plain,
% 49.05/31.74 (m_processor_v_master(c_p0, s0) | node37(c_p0, s0, s1) | m_processor_v_abort(c_p0, s0)),
% 49.05/31.74 inference(unit_resolution,[status(thm)],[2836, 225, 2826, 2830, 2816])).
% 49.05/31.74 tff(2838,plain,
% 49.05/31.74 (node37(c_p0, s0, s1)),
% 49.05/31.74 inference(unit_resolution,[status(thm)],[2837, 2821, 2822])).
% 49.05/31.74 tff(2839,plain,
% 49.05/31.74 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s0, c_invalid)) | (~node37(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s0, c_invalid)) | (~node37(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_invalid))),
% 49.05/31.74 inference(rewrite,[status(thm)],[])).
% 49.05/31.74 tff(2840,plain,
% 49.05/31.74 (((~m_processor_v_state(c_p0, s0, c_invalid)) | m_processor_v_state(c_p0, s1, c_invalid) | (~node37(c_p0, s0, s1))) <=> ((~m_processor_v_state(c_p0, s0, c_invalid)) | (~node37(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_invalid))),
% 49.05/31.74 inference(rewrite,[status(thm)],[])).
% 49.05/31.74 tff(2841,plain,
% 49.05/31.74 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s0, c_invalid)) | m_processor_v_state(c_p0, s1, c_invalid) | (~node37(c_p0, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s0, c_invalid)) | (~node37(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_invalid)))),
% 49.05/31.74 inference(monotonicity,[status(thm)],[2840])).
% 49.05/31.74 tff(2842,plain,
% 49.05/31.74 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s0, c_invalid)) | m_processor_v_state(c_p0, s1, c_invalid) | (~node37(c_p0, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s0, c_invalid)) | (~node37(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_invalid))),
% 49.05/31.74 inference(transitivity,[status(thm)],[2841, 2839])).
% 49.05/31.74 tff(2843,plain,
% 49.05/31.74 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s0, c_invalid)) | m_processor_v_state(c_p0, s1, c_invalid) | (~node37(c_p0, s0, s1)))),
% 49.05/31.74 inference(quant_inst,[status(thm)],[])).
% 49.05/31.74 tff(2844,plain,
% 49.05/31.74 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s0, c_invalid)) | (~node37(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_invalid)),
% 49.05/31.74 inference(modus_ponens,[status(thm)],[2843, 2842])).
% 49.05/31.74 tff(2845,plain,
% 49.05/31.74 ($false),
% 49.05/31.74 inference(unit_resolution,[status(thm)],[2844, 2411, 2794, 2838, 2782])).
% 49.05/31.74 tff(2846,plain,(m_processor_v_state(c_p0, s1, c_invalid) | m_processor_v_master(c_p0, s0)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.74 tff(2847,plain,
% 49.05/31.74 (m_processor_v_master(c_p0, s0)),
% 49.05/31.74 inference(unit_resolution,[status(thm)],[2846, 2782])).
% 49.05/31.74 tff(2848,assumption,(~m_processor_v_waiting(c_p0, s1)), introduced(assumption)).
% 49.05/31.74 tff(2849,assumption,(~m_processor_v_abort(c_p0, s0)), introduced(assumption)).
% 49.05/31.74 tff(2850,assumption,(m_processor_v_master(c_p0, s0)), introduced(assumption)).
% 49.05/31.74 tff(2851,plain,
% 49.05/31.74 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s0, s1)) | node53(c_p0, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s0, s1)) | node53(c_p0, s0, s1))),
% 49.05/31.74 inference(rewrite,[status(thm)],[])).
% 49.05/31.74 tff(2852,plain,
% 49.05/31.74 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s0, s1)) | node53(c_p0, s0, s1))),
% 49.05/31.74 inference(quant_inst,[status(thm)],[])).
% 49.05/31.74 tff(2853,plain,
% 49.05/31.74 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s0, s1)) | node53(c_p0, s0, s1)),
% 49.05/31.74 inference(modus_ponens,[status(thm)],[2852, 2851])).
% 49.05/31.74 tff(2854,plain,
% 49.05/31.74 (node53(c_p0, s0, s1)),
% 49.05/31.74 inference(unit_resolution,[status(thm)],[2853, 575, 2811])).
% 49.05/31.74 tff(2855,plain,
% 49.05/31.74 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s0)) | m_processor_v_waiting(c_p0, s1) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)) | (~node53(c_p0, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s0)) | m_processor_v_waiting(c_p0, s1) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)) | (~node53(c_p0, s0, s1)))),
% 49.05/31.74 inference(rewrite,[status(thm)],[])).
% 49.05/31.74 tff(2856,plain,
% 49.05/31.74 ((m_processor_v_waiting(c_p0, s1) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)) | (~m_processor_v_master(c_p0, s0)) | m_processor_v_abort(c_p0, s0) | (~node53(c_p0, s0, s1))) <=> ((~m_processor_v_master(c_p0, s0)) | m_processor_v_waiting(c_p0, s1) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)) | (~node53(c_p0, s0, s1)))),
% 49.05/31.74 inference(rewrite,[status(thm)],[])).
% 49.05/31.74 tff(2857,plain,
% 49.05/31.74 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s1) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)) | (~m_processor_v_master(c_p0, s0)) | m_processor_v_abort(c_p0, s0) | (~node53(c_p0, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s0)) | m_processor_v_waiting(c_p0, s1) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)) | (~node53(c_p0, s0, s1))))),
% 49.05/31.74 inference(monotonicity,[status(thm)],[2856])).
% 49.05/31.74 tff(2858,plain,
% 49.05/31.74 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s1) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)) | (~m_processor_v_master(c_p0, s0)) | m_processor_v_abort(c_p0, s0) | (~node53(c_p0, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s0)) | m_processor_v_waiting(c_p0, s1) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)) | (~node53(c_p0, s0, s1)))),
% 49.05/31.74 inference(transitivity,[status(thm)],[2857, 2855])).
% 49.05/31.74 tff(2859,plain,
% 49.05/31.74 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s1) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)) | (~m_processor_v_master(c_p0, s0)) | m_processor_v_abort(c_p0, s0) | (~node53(c_p0, s0, s1)))),
% 49.05/31.75 inference(quant_inst,[status(thm)],[])).
% 49.05/31.75 tff(2860,plain,
% 49.05/31.75 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s0)) | m_processor_v_waiting(c_p0, s1) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)) | (~node53(c_p0, s0, s1))),
% 49.05/31.75 inference(modus_ponens,[status(thm)],[2859, 2858])).
% 49.05/31.75 tff(2861,plain,
% 49.05/31.75 ((~m_processor_v_master(c_p0, s0)) | m_processor_v_waiting(c_p0, s1) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared))),
% 49.05/31.75 inference(unit_resolution,[status(thm)],[2860, 589, 2854])).
% 49.05/31.75 tff(2862,plain,
% 49.05/31.75 (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)),
% 49.05/31.75 inference(unit_resolution,[status(thm)],[2861, 2848, 2849, 2850])).
% 49.05/31.75 tff(2863,assumption,(~m_processor_v_CMD(c_p0, s0, c_read_h_shared)), introduced(assumption)).
% 49.05/31.75 tff(2864,assumption,(m_main_v_CMD(s0, c_read_h_shared)), introduced(assumption)).
% 49.05/31.75 tff(2865,assumption,(~node2(s0)), introduced(assumption)).
% 49.05/31.75 tff(2866,plain,
% 49.05/31.75 ((~![X: $i] : node2(X)) | node2(s0)),
% 49.05/31.75 inference(quant_inst,[status(thm)],[])).
% 49.05/31.75 tff(2867,plain,
% 49.05/31.75 ($false),
% 49.05/31.75 inference(unit_resolution,[status(thm)],[2866, 1215, 2865])).
% 49.05/31.75 tff(2868,plain,(node2(s0)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.75 tff(2869,plain,
% 49.05/31.75 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s0, c_read_h_shared) | (~m_main_v_CMD(s0, c_read_h_shared)) | (~node2(s0)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | (~m_main_v_CMD(s0, c_read_h_shared)) | (~node2(s0)))),
% 49.05/31.75 inference(rewrite,[status(thm)],[])).
% 49.05/31.75 tff(2870,plain,
% 49.05/31.75 (((~m_main_v_CMD(s0, c_read_h_shared)) | (~node2(s0)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared)) <=> (m_processor_v_CMD(c_p0, s0, c_read_h_shared) | (~m_main_v_CMD(s0, c_read_h_shared)) | (~node2(s0)))),
% 49.05/31.75 inference(rewrite,[status(thm)],[])).
% 49.05/31.75 tff(2871,plain,
% 49.05/31.75 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_read_h_shared)) | (~node2(s0)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s0, c_read_h_shared) | (~m_main_v_CMD(s0, c_read_h_shared)) | (~node2(s0))))),
% 49.05/31.75 inference(monotonicity,[status(thm)],[2870])).
% 49.05/31.75 tff(2872,plain,
% 49.05/31.75 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_read_h_shared)) | (~node2(s0)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | (~m_main_v_CMD(s0, c_read_h_shared)) | (~node2(s0)))),
% 49.05/31.75 inference(transitivity,[status(thm)],[2871, 2869])).
% 49.05/31.75 tff(2873,plain,
% 49.05/31.75 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_read_h_shared)) | (~node2(s0)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared))),
% 49.05/31.75 inference(quant_inst,[status(thm)],[])).
% 49.05/31.75 tff(2874,plain,
% 49.05/31.75 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | (~m_main_v_CMD(s0, c_read_h_shared)) | (~node2(s0))),
% 49.05/31.75 inference(modus_ponens,[status(thm)],[2873, 2872])).
% 49.05/31.75 tff(2875,plain,
% 49.05/31.75 ($false),
% 49.05/31.75 inference(unit_resolution,[status(thm)],[2874, 1228, 2868, 2864, 2863])).
% 49.05/31.75 tff(2876,plain,((~m_main_v_CMD(s0, c_read_h_shared)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.05/31.75 tff(2877,plain,
% 49.05/31.75 (~m_main_v_CMD(s0, c_read_h_shared)),
% 49.05/31.75 inference(unit_resolution,[status(thm)],[2876, 2862])).
% 49.05/31.75 tff(2878,assumption,(~m_main_v_CMD(s0, c_read_h_shared)), introduced(assumption)).
% 49.05/31.75 tff(2879,assumption,(~m_main_v_CMD(s0, c_read_h_owned)), introduced(assumption)).
% 49.14/31.75 tff(2880,assumption,(m_processor_v_cmd(c_p1, s0, c_idle)), introduced(assumption)).
% 49.14/31.75 tff(2881,plain,
% 49.14/31.75 (((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p0, s0)) | (~node17(s0)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | (~m_processor_v_master(c_p0, s0)) | (~node17(s0)))),
% 49.14/31.75 inference(rewrite,[status(thm)],[])).
% 49.14/31.75 tff(2882,plain,
% 49.14/31.75 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p0, s0)) | (~node17(s0)))),
% 49.14/31.75 inference(quant_inst,[status(thm)],[])).
% 49.14/31.75 tff(2883,plain,
% 49.14/31.75 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | (~m_processor_v_master(c_p0, s0)) | (~node17(s0))),
% 49.14/31.75 inference(modus_ponens,[status(thm)],[2882, 2881])).
% 49.14/31.75 tff(2884,plain,
% 49.14/31.75 (~node17(s0)),
% 49.14/31.75 inference(unit_resolution,[status(thm)],[2883, 1275, 2850])).
% 49.14/31.75 tff(2885,plain,
% 49.14/31.75 (((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | (node17(s0) | (~m_memory_v_master(c_m, s0)))) <=> ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | node17(s0) | (~m_memory_v_master(c_m, s0)))),
% 49.14/31.75 inference(rewrite,[status(thm)],[])).
% 49.14/31.75 tff(2886,plain,
% 49.14/31.75 ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | (node17(s0) | (~m_memory_v_master(c_m, s0)))),
% 49.14/31.75 inference(quant_inst,[status(thm)],[])).
% 49.14/31.75 tff(2887,plain,
% 49.14/31.75 ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | node17(s0) | (~m_memory_v_master(c_m, s0))),
% 49.14/31.75 inference(modus_ponens,[status(thm)],[2886, 2885])).
% 49.14/31.75 tff(2888,plain,
% 49.14/31.75 (~m_memory_v_master(c_m, s0)),
% 49.14/31.75 inference(unit_resolution,[status(thm)],[2887, 1290, 2884])).
% 49.14/31.75 tff(2889,plain,
% 49.14/31.75 (((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | (m_memory_v_master(c_m, s0) | (~node29(c_m, s0)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | m_memory_v_master(c_m, s0) | (~node29(c_m, s0)))),
% 49.14/31.75 inference(rewrite,[status(thm)],[])).
% 49.14/31.75 tff(2890,plain,
% 49.14/31.75 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | (m_memory_v_master(c_m, s0) | (~node29(c_m, s0)))),
% 49.14/31.75 inference(quant_inst,[status(thm)],[])).
% 49.14/31.75 tff(2891,plain,
% 49.14/31.75 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | m_memory_v_master(c_m, s0) | (~node29(c_m, s0))),
% 49.14/31.75 inference(modus_ponens,[status(thm)],[2890, 2889])).
% 49.14/31.75 tff(2892,plain,
% 49.14/31.75 (~node29(c_m, s0)),
% 49.14/31.75 inference(unit_resolution,[status(thm)],[2891, 1305, 2888])).
% 49.14/31.75 tff(2893,plain,
% 49.14/31.75 (((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | (node29(c_m, s0) | m_memory_v_cmd(c_m, s0, c_idle))) <=> ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | node29(c_m, s0) | m_memory_v_cmd(c_m, s0, c_idle))),
% 49.14/31.75 inference(rewrite,[status(thm)],[])).
% 49.14/31.75 tff(2894,plain,
% 49.14/31.75 ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | (node29(c_m, s0) | m_memory_v_cmd(c_m, s0, c_idle))),
% 49.14/31.75 inference(quant_inst,[status(thm)],[])).
% 49.14/31.75 tff(2895,plain,
% 49.14/31.75 ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | node29(c_m, s0) | m_memory_v_cmd(c_m, s0, c_idle)),
% 49.14/31.75 inference(modus_ponens,[status(thm)],[2894, 2893])).
% 49.14/31.75 tff(2896,plain,
% 49.14/31.75 (m_memory_v_cmd(c_m, s0, c_idle)),
% 49.14/31.75 inference(unit_resolution,[status(thm)],[2895, 1320, 2892])).
% 49.14/31.75 tff(2897,plain,
% 49.14/31.75 (((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | ((~node16(s0)) | (~m_processor_v_master(c_p0, s0)))) <=> ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | (~node16(s0)) | (~m_processor_v_master(c_p0, s0)))),
% 49.14/31.75 inference(rewrite,[status(thm)],[])).
% 49.14/31.75 tff(2898,plain,
% 49.14/31.75 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | ((~node16(s0)) | (~m_processor_v_master(c_p0, s0)))),
% 49.14/31.75 inference(quant_inst,[status(thm)],[])).
% 49.14/31.75 tff(2899,plain,
% 49.14/31.75 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | (~node16(s0)) | (~m_processor_v_master(c_p0, s0))),
% 49.14/31.75 inference(modus_ponens,[status(thm)],[2898, 2897])).
% 49.14/31.75 tff(2900,plain,
% 49.14/31.75 (~node16(s0)),
% 49.14/31.75 inference(unit_resolution,[status(thm)],[2899, 1530, 2850])).
% 49.14/31.75 tff(2901,plain,
% 49.14/31.75 (((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | (node16(s0) | (~m_processor_v_master(c_p2, s0)))) <=> ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | node16(s0) | (~m_processor_v_master(c_p2, s0)))),
% 49.14/31.75 inference(rewrite,[status(thm)],[])).
% 49.14/31.75 tff(2902,plain,
% 49.14/31.75 ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | (node16(s0) | (~m_processor_v_master(c_p2, s0)))),
% 49.14/31.75 inference(quant_inst,[status(thm)],[])).
% 49.14/31.75 tff(2903,plain,
% 49.14/31.75 ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | node16(s0) | (~m_processor_v_master(c_p2, s0))),
% 49.14/31.75 inference(modus_ponens,[status(thm)],[2902, 2901])).
% 49.14/31.75 tff(2904,plain,
% 49.14/31.75 (~m_processor_v_master(c_p2, s0)),
% 49.14/31.75 inference(unit_resolution,[status(thm)],[2903, 1545, 2900])).
% 49.14/31.75 tff(2905,plain,
% 49.14/31.75 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p2, s0) | (~node62(c_p2, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p2, s0) | (~node62(c_p2, s0)))),
% 49.14/31.75 inference(rewrite,[status(thm)],[])).
% 49.14/31.75 tff(2906,plain,
% 49.14/31.75 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p2, s0) | (~node62(c_p2, s0)))),
% 49.14/31.75 inference(quant_inst,[status(thm)],[])).
% 49.14/31.75 tff(2907,plain,
% 49.14/31.75 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p2, s0) | (~node62(c_p2, s0))),
% 49.14/31.75 inference(modus_ponens,[status(thm)],[2906, 2905])).
% 49.14/31.75 tff(2908,plain,
% 49.14/31.75 (~node62(c_p2, s0)),
% 49.14/31.75 inference(unit_resolution,[status(thm)],[2907, 1493, 2904])).
% 49.14/31.75 tff(2909,plain,
% 49.14/31.75 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p2, s0) | (~node63(c_p2, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p2, s0) | (~node63(c_p2, s0)))),
% 49.14/31.75 inference(rewrite,[status(thm)],[])).
% 49.14/31.75 tff(2910,plain,
% 49.14/31.75 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p2, s0) | (~node63(c_p2, s0)))),
% 49.14/31.75 inference(quant_inst,[status(thm)],[])).
% 49.14/31.75 tff(2911,plain,
% 49.14/31.75 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p2, s0) | (~node63(c_p2, s0))),
% 49.14/31.75 inference(modus_ponens,[status(thm)],[2910, 2909])).
% 49.14/31.75 tff(2912,plain,
% 49.14/31.75 (~node63(c_p2, s0)),
% 49.14/31.75 inference(unit_resolution,[status(thm)],[2911, 1469, 2904])).
% 49.14/31.75 tff(2913,plain,
% 49.14/31.75 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p2, s0) | (~node64(c_p2, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p2, s0) | (~node64(c_p2, s0)))),
% 49.14/31.75 inference(rewrite,[status(thm)],[])).
% 49.14/31.75 tff(2914,plain,
% 49.14/31.75 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p2, s0) | (~node64(c_p2, s0)))),
% 49.14/31.75 inference(quant_inst,[status(thm)],[])).
% 49.14/31.75 tff(2915,plain,
% 49.14/31.75 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p2, s0) | (~node64(c_p2, s0))),
% 49.14/31.75 inference(modus_ponens,[status(thm)],[2914, 2913])).
% 49.14/31.75 tff(2916,plain,
% 49.14/31.75 (~node64(c_p2, s0)),
% 49.14/31.75 inference(unit_resolution,[status(thm)],[2915, 1482, 2904])).
% 49.14/31.75 tff(2917,plain,
% 49.14/31.75 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p2, s0) | (~node65(c_p2, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p2, s0) | (~node65(c_p2, s0)))),
% 49.14/31.75 inference(rewrite,[status(thm)],[])).
% 49.14/31.75 tff(2918,plain,
% 49.14/31.75 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p2, s0) | (~node65(c_p2, s0)))),
% 49.14/31.75 inference(quant_inst,[status(thm)],[])).
% 49.14/31.75 tff(2919,plain,
% 49.14/31.75 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p2, s0) | (~node65(c_p2, s0))),
% 49.14/31.75 inference(modus_ponens,[status(thm)],[2918, 2917])).
% 49.14/31.75 tff(2920,plain,
% 49.14/31.75 (~node65(c_p2, s0)),
% 49.14/31.75 inference(unit_resolution,[status(thm)],[2919, 1457, 2904])).
% 49.14/31.75 tff(2921,plain,
% 49.14/31.75 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p2, s0) | (~node66(c_p2, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p2, s0) | (~node66(c_p2, s0)))),
% 49.14/31.75 inference(rewrite,[status(thm)],[])).
% 49.14/31.75 tff(2922,plain,
% 49.14/31.75 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p2, s0) | (~node66(c_p2, s0)))),
% 49.14/31.75 inference(quant_inst,[status(thm)],[])).
% 49.14/31.75 tff(2923,plain,
% 49.14/31.75 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p2, s0) | (~node66(c_p2, s0))),
% 49.14/31.75 inference(modus_ponens,[status(thm)],[2922, 2921])).
% 49.14/31.75 tff(2924,plain,
% 49.14/31.75 (~node66(c_p2, s0)),
% 49.14/31.75 inference(unit_resolution,[status(thm)],[2923, 1446, 2904])).
% 49.14/31.75 tff(2925,plain,
% 49.14/31.75 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node66(c_p2, s0) | node65(c_p2, s0) | node64(c_p2, s0) | node63(c_p2, s0) | node62(c_p2, s0) | m_processor_v_cmd(c_p2, s0, c_idle))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node66(c_p2, s0) | node65(c_p2, s0) | node64(c_p2, s0) | node63(c_p2, s0) | node62(c_p2, s0) | m_processor_v_cmd(c_p2, s0, c_idle))),
% 49.14/31.75 inference(rewrite,[status(thm)],[])).
% 49.14/31.75 tff(2926,plain,
% 49.14/31.75 ((m_processor_v_cmd(c_p2, s0, c_idle) | node62(c_p2, s0) | node63(c_p2, s0) | node64(c_p2, s0) | node65(c_p2, s0) | node66(c_p2, s0)) <=> (node66(c_p2, s0) | node65(c_p2, s0) | node64(c_p2, s0) | node63(c_p2, s0) | node62(c_p2, s0) | m_processor_v_cmd(c_p2, s0, c_idle))),
% 49.14/31.75 inference(rewrite,[status(thm)],[])).
% 49.14/31.75 tff(2927,plain,
% 49.14/31.75 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s0, c_idle) | node62(c_p2, s0) | node63(c_p2, s0) | node64(c_p2, s0) | node65(c_p2, s0) | node66(c_p2, s0))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node66(c_p2, s0) | node65(c_p2, s0) | node64(c_p2, s0) | node63(c_p2, s0) | node62(c_p2, s0) | m_processor_v_cmd(c_p2, s0, c_idle)))),
% 49.14/31.75 inference(monotonicity,[status(thm)],[2926])).
% 49.14/31.75 tff(2928,plain,
% 49.14/31.75 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s0, c_idle) | node62(c_p2, s0) | node63(c_p2, s0) | node64(c_p2, s0) | node65(c_p2, s0) | node66(c_p2, s0))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node66(c_p2, s0) | node65(c_p2, s0) | node64(c_p2, s0) | node63(c_p2, s0) | node62(c_p2, s0) | m_processor_v_cmd(c_p2, s0, c_idle))),
% 49.14/31.75 inference(transitivity,[status(thm)],[2927, 2925])).
% 49.14/31.75 tff(2929,plain,
% 49.14/31.75 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s0, c_idle) | node62(c_p2, s0) | node63(c_p2, s0) | node64(c_p2, s0) | node65(c_p2, s0) | node66(c_p2, s0))),
% 49.14/31.75 inference(quant_inst,[status(thm)],[])).
% 49.14/31.75 tff(2930,plain,
% 49.14/31.75 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node66(c_p2, s0) | node65(c_p2, s0) | node64(c_p2, s0) | node63(c_p2, s0) | node62(c_p2, s0) | m_processor_v_cmd(c_p2, s0, c_idle)),
% 49.14/31.75 inference(modus_ponens,[status(thm)],[2929, 2928])).
% 49.14/31.75 tff(2931,plain,
% 49.14/31.75 (m_processor_v_cmd(c_p2, s0, c_idle)),
% 49.14/31.75 inference(unit_resolution,[status(thm)],[2930, 1508, 2924, 2920, 2916, 2912, 2908])).
% 49.14/31.75 tff(2932,assumption,(~node8(s0)), introduced(assumption)).
% 49.14/31.75 tff(2933,assumption,(m_processor_v_cmd(c_p2, s0, c_idle)), introduced(assumption)).
% 49.14/31.75 tff(2934,assumption,(m_memory_v_cmd(c_m, s0, c_idle)), introduced(assumption)).
% 49.14/31.75 tff(2935,plain,
% 49.14/31.75 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle)))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | node8(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle)))),
% 49.14/31.75 inference(rewrite,[status(thm)],[])).
% 49.14/31.75 tff(2936,plain,
% 49.14/31.75 ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle)))),
% 49.14/31.75 inference(quant_inst,[status(thm)],[])).
% 49.14/31.75 tff(2937,plain,
% 49.14/31.75 ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | node8(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle))),
% 49.14/31.75 inference(modus_ponens,[status(thm)],[2936, 2935])).
% 49.14/31.75 tff(2938,plain,
% 49.14/31.75 ($false),
% 49.14/31.75 inference(unit_resolution,[status(thm)],[2937, 1593, 2880, 2934, 2933, 2932])).
% 49.14/31.75 tff(2939,plain,(node8(s0) | (~m_processor_v_cmd(c_p1, s0, c_idle)) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle))), inference(lemma,lemma(discharge,[]))).
% 49.14/31.75 tff(2940,plain,
% 49.14/31.75 (node8(s0)),
% 49.14/31.75 inference(unit_resolution,[status(thm)],[2939, 2931, 2896, 2880])).
% 49.14/31.75 tff(2941,assumption,(node8(s0)), introduced(assumption)).
% 49.14/31.75 tff(2942,assumption,(m_processor_v_cmd(c_p0, s0, c_read_h_shared)), introduced(assumption)).
% 49.14/31.75 tff(2943,plain,
% 49.14/31.75 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~m_processor_v_cmd(c_p0, s0, c_read_h_shared)) | m_main_v_CMD(s0, c_read_h_shared) | (~node8(s0)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s0, c_read_h_shared)) | m_main_v_CMD(s0, c_read_h_shared) | (~node8(s0)))),
% 49.14/31.75 inference(rewrite,[status(thm)],[])).
% 49.14/31.75 tff(2944,plain,
% 49.14/31.75 ((m_main_v_CMD(s0, c_read_h_shared) | (~node8(s0)) | (~m_processor_v_cmd(c_p0, s0, c_read_h_shared))) <=> ((~m_processor_v_cmd(c_p0, s0, c_read_h_shared)) | m_main_v_CMD(s0, c_read_h_shared) | (~node8(s0)))),
% 49.14/31.75 inference(rewrite,[status(thm)],[])).
% 49.14/31.75 tff(2945,plain,
% 49.14/31.75 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~node8(s0)) | (~m_processor_v_cmd(c_p0, s0, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~m_processor_v_cmd(c_p0, s0, c_read_h_shared)) | m_main_v_CMD(s0, c_read_h_shared) | (~node8(s0))))),
% 49.14/31.75 inference(monotonicity,[status(thm)],[2944])).
% 49.14/31.75 tff(2946,plain,
% 49.14/31.75 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~node8(s0)) | (~m_processor_v_cmd(c_p0, s0, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s0, c_read_h_shared)) | m_main_v_CMD(s0, c_read_h_shared) | (~node8(s0)))),
% 49.14/31.75 inference(transitivity,[status(thm)],[2945, 2943])).
% 49.14/31.75 tff(2947,plain,
% 49.14/31.75 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~node8(s0)) | (~m_processor_v_cmd(c_p0, s0, c_read_h_shared)))),
% 49.14/31.75 inference(quant_inst,[status(thm)],[])).
% 49.14/31.75 tff(2948,plain,
% 49.14/31.75 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s0, c_read_h_shared)) | m_main_v_CMD(s0, c_read_h_shared) | (~node8(s0))),
% 49.14/31.75 inference(modus_ponens,[status(thm)],[2947, 2946])).
% 49.14/31.75 tff(2949,plain,
% 49.14/31.75 ($false),
% 49.14/31.75 inference(unit_resolution,[status(thm)],[2948, 1669, 2942, 2878, 2941])).
% 49.14/31.75 tff(2950,plain,((~m_processor_v_cmd(c_p0, s0, c_read_h_shared)) | m_main_v_CMD(s0, c_read_h_shared) | (~node8(s0))), inference(lemma,lemma(discharge,[]))).
% 49.14/31.75 tff(2951,plain,
% 49.14/31.75 (~m_processor_v_cmd(c_p0, s0, c_read_h_shared)),
% 49.14/31.75 inference(unit_resolution,[status(thm)],[2950, 2940, 2878])).
% 49.14/31.75 tff(2952,plain,
% 49.14/31.75 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s0, c_read_h_owned) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~m_processor_v_master(c_p0, s0)) | (~m_processor_v_state(c_p0, s0, c_invalid)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | m_processor_v_cmd(c_p0, s0, c_read_h_owned) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~m_processor_v_master(c_p0, s0)) | (~m_processor_v_state(c_p0, s0, c_invalid)))),
% 49.14/31.75 inference(rewrite,[status(thm)],[])).
% 49.14/31.75 tff(2953,plain,
% 49.14/31.75 ((m_processor_v_cmd(c_p0, s0, c_read_h_owned) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~m_processor_v_state(c_p0, s0, c_invalid)) | (~m_processor_v_master(c_p0, s0))) <=> (m_processor_v_cmd(c_p0, s0, c_read_h_owned) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~m_processor_v_master(c_p0, s0)) | (~m_processor_v_state(c_p0, s0, c_invalid)))),
% 49.14/31.75 inference(rewrite,[status(thm)],[])).
% 49.14/31.75 tff(2954,plain,
% 49.14/31.75 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s0, c_read_h_owned) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~m_processor_v_state(c_p0, s0, c_invalid)) | (~m_processor_v_master(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s0, c_read_h_owned) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~m_processor_v_master(c_p0, s0)) | (~m_processor_v_state(c_p0, s0, c_invalid))))),
% 49.14/31.75 inference(monotonicity,[status(thm)],[2953])).
% 49.14/31.75 tff(2955,plain,
% 49.14/31.75 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s0, c_read_h_owned) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~m_processor_v_state(c_p0, s0, c_invalid)) | (~m_processor_v_master(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | m_processor_v_cmd(c_p0, s0, c_read_h_owned) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~m_processor_v_master(c_p0, s0)) | (~m_processor_v_state(c_p0, s0, c_invalid)))),
% 49.14/31.75 inference(transitivity,[status(thm)],[2954, 2952])).
% 49.14/31.75 tff(2956,plain,
% 49.14/31.75 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s0, c_read_h_owned) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~m_processor_v_state(c_p0, s0, c_invalid)) | (~m_processor_v_master(c_p0, s0)))),
% 49.14/31.75 inference(quant_inst,[status(thm)],[])).
% 49.14/31.75 tff(2957,plain,
% 49.14/31.75 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | m_processor_v_cmd(c_p0, s0, c_read_h_owned) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~m_processor_v_master(c_p0, s0)) | (~m_processor_v_state(c_p0, s0, c_invalid))),
% 49.14/31.75 inference(modus_ponens,[status(thm)],[2956, 2955])).
% 49.14/31.76 tff(2958,plain,
% 49.14/31.76 (m_processor_v_cmd(c_p0, s0, c_read_h_owned) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~m_processor_v_master(c_p0, s0))),
% 49.14/31.76 inference(unit_resolution,[status(thm)],[2957, 1835, 2794])).
% 49.14/31.76 tff(2959,plain,
% 49.14/31.76 (m_processor_v_cmd(c_p0, s0, c_read_h_owned)),
% 49.14/31.76 inference(unit_resolution,[status(thm)],[2958, 2951, 2850])).
% 49.14/31.76 tff(2960,plain,
% 49.14/31.76 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~m_processor_v_cmd(c_p0, s0, c_read_h_owned)) | (~node8(s0)) | m_main_v_CMD(s0, c_read_h_owned))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s0, c_read_h_owned)) | (~node8(s0)) | m_main_v_CMD(s0, c_read_h_owned))),
% 49.14/31.76 inference(rewrite,[status(thm)],[])).
% 49.14/31.76 tff(2961,plain,
% 49.14/31.76 ((m_main_v_CMD(s0, c_read_h_owned) | (~node8(s0)) | (~m_processor_v_cmd(c_p0, s0, c_read_h_owned))) <=> ((~m_processor_v_cmd(c_p0, s0, c_read_h_owned)) | (~node8(s0)) | m_main_v_CMD(s0, c_read_h_owned))),
% 49.14/31.76 inference(rewrite,[status(thm)],[])).
% 49.14/31.76 tff(2962,plain,
% 49.14/31.76 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s0, c_read_h_owned) | (~node8(s0)) | (~m_processor_v_cmd(c_p0, s0, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~m_processor_v_cmd(c_p0, s0, c_read_h_owned)) | (~node8(s0)) | m_main_v_CMD(s0, c_read_h_owned)))),
% 49.14/31.76 inference(monotonicity,[status(thm)],[2961])).
% 49.14/31.76 tff(2963,plain,
% 49.14/31.76 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s0, c_read_h_owned) | (~node8(s0)) | (~m_processor_v_cmd(c_p0, s0, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s0, c_read_h_owned)) | (~node8(s0)) | m_main_v_CMD(s0, c_read_h_owned))),
% 49.14/31.76 inference(transitivity,[status(thm)],[2962, 2960])).
% 49.14/31.76 tff(2964,plain,
% 49.14/31.76 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s0, c_read_h_owned) | (~node8(s0)) | (~m_processor_v_cmd(c_p0, s0, c_read_h_owned)))),
% 49.14/31.76 inference(quant_inst,[status(thm)],[])).
% 49.14/31.76 tff(2965,plain,
% 49.14/31.76 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s0, c_read_h_owned)) | (~node8(s0)) | m_main_v_CMD(s0, c_read_h_owned)),
% 49.14/31.76 inference(modus_ponens,[status(thm)],[2964, 2963])).
% 49.14/31.76 tff(2966,plain,
% 49.14/31.76 ($false),
% 49.14/31.76 inference(unit_resolution,[status(thm)],[2965, 1669, 2959, 2879, 2940])).
% 49.14/31.76 tff(2967,plain,((~m_processor_v_master(c_p0, s0)) | m_main_v_CMD(s0, c_read_h_owned) | m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_cmd(c_p1, s0, c_idle))), inference(lemma,lemma(discharge,[]))).
% 49.14/31.76 tff(2968,plain,
% 49.14/31.76 (~m_processor_v_cmd(c_p1, s0, c_idle)),
% 49.14/31.76 inference(unit_resolution,[status(thm)],[2967, 2850, 2879, 2878])).
% 49.14/31.76 tff(2969,assumption,(m_processor_v_master(c_p1, s0)), introduced(assumption)).
% 49.14/31.76 tff(2970,plain,
% 49.14/31.76 (((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | ((~m_processor_v_master(c_p0, s0)) | (~m_processor_v_master(c_p1, s0)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | (~m_processor_v_master(c_p0, s0)) | (~m_processor_v_master(c_p1, s0)))),
% 49.14/31.76 inference(rewrite,[status(thm)],[])).
% 49.14/31.76 tff(2971,plain,
% 49.14/31.76 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | ((~m_processor_v_master(c_p0, s0)) | (~m_processor_v_master(c_p1, s0)))),
% 49.14/31.76 inference(quant_inst,[status(thm)],[])).
% 49.14/31.76 tff(2972,plain,
% 49.14/31.76 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | (~m_processor_v_master(c_p0, s0)) | (~m_processor_v_master(c_p1, s0))),
% 49.14/31.76 inference(modus_ponens,[status(thm)],[2971, 2970])).
% 49.14/31.76 tff(2973,plain,
% 49.14/31.76 ($false),
% 49.14/31.76 inference(unit_resolution,[status(thm)],[2972, 794, 2850, 2969])).
% 49.14/31.76 tff(2974,plain,((~m_processor_v_master(c_p0, s0)) | (~m_processor_v_master(c_p1, s0))), inference(lemma,lemma(discharge,[]))).
% 49.14/31.76 tff(2975,plain,
% 49.14/31.76 (~m_processor_v_master(c_p1, s0)),
% 49.14/31.76 inference(unit_resolution,[status(thm)],[2974, 2850])).
% 49.14/31.76 tff(2976,assumption,(node62(c_p1, s0)), introduced(assumption)).
% 49.14/31.76 tff(2977,assumption,(~m_processor_v_master(c_p1, s0)), introduced(assumption)).
% 49.14/31.76 tff(2978,plain,
% 49.14/31.76 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p1, s0) | (~node62(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p1, s0) | (~node62(c_p1, s0)))),
% 49.14/31.76 inference(rewrite,[status(thm)],[])).
% 49.14/31.76 tff(2979,plain,
% 49.14/31.76 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p1, s0) | (~node62(c_p1, s0)))),
% 49.14/31.76 inference(quant_inst,[status(thm)],[])).
% 49.14/31.76 tff(2980,plain,
% 49.14/31.76 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p1, s0) | (~node62(c_p1, s0))),
% 49.14/31.76 inference(modus_ponens,[status(thm)],[2979, 2978])).
% 49.14/31.76 tff(2981,plain,
% 49.14/31.76 ($false),
% 49.14/31.76 inference(unit_resolution,[status(thm)],[2980, 1493, 2977, 2976])).
% 49.14/31.76 tff(2982,plain,((~node62(c_p1, s0)) | m_processor_v_master(c_p1, s0)), inference(lemma,lemma(discharge,[]))).
% 49.14/31.76 tff(2983,plain,
% 49.14/31.76 (~node62(c_p1, s0)),
% 49.14/31.76 inference(unit_resolution,[status(thm)],[2982, 2975])).
% 49.14/31.76 tff(2984,assumption,(node66(c_p1, s0)), introduced(assumption)).
% 49.14/31.76 tff(2985,assumption,(~m_processor_v_state(c_p1, s0, c_invalid)), introduced(assumption)).
% 49.14/31.76 tff(2986,plain,
% 49.14/31.76 ((~![I0: $i] : m_processor_v_state(I0, s0, c_invalid)) | m_processor_v_state(c_p1, s0, c_invalid)),
% 49.14/31.76 inference(quant_inst,[status(thm)],[])).
% 49.14/31.76 tff(2987,plain,
% 49.14/31.76 ($false),
% 49.14/31.76 inference(unit_resolution,[status(thm)],[2986, 2791, 2985])).
% 49.14/31.76 tff(2988,plain,(m_processor_v_state(c_p1, s0, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.14/31.76 tff(2989,plain,
% 49.14/31.76 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s0, c_invalid)) | (~m_processor_v_state(c_p1, s0, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s0, c_invalid)) | (~m_processor_v_state(c_p1, s0, c_owned)))),
% 49.14/31.76 inference(rewrite,[status(thm)],[])).
% 49.14/31.76 tff(2990,plain,
% 49.14/31.76 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s0, c_invalid)) | (~m_processor_v_state(c_p1, s0, c_owned)))),
% 49.14/31.76 inference(quant_inst,[status(thm)],[])).
% 49.14/31.76 tff(2991,plain,
% 49.14/31.76 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s0, c_invalid)) | (~m_processor_v_state(c_p1, s0, c_owned))),
% 49.14/31.76 inference(modus_ponens,[status(thm)],[2990, 2989])).
% 49.14/31.76 tff(2992,plain,
% 49.14/31.76 (~m_processor_v_state(c_p1, s0, c_owned)),
% 49.14/31.76 inference(unit_resolution,[status(thm)],[2991, 137, 2988])).
% 49.14/31.76 tff(2993,plain,
% 49.14/31.76 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))) | (m_processor_v_state(c_p1, s0, c_owned) | (~node66(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))) | m_processor_v_state(c_p1, s0, c_owned) | (~node66(c_p1, s0)))),
% 49.14/31.76 inference(rewrite,[status(thm)],[])).
% 49.14/31.76 tff(2994,plain,
% 49.14/31.76 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))) | (m_processor_v_state(c_p1, s0, c_owned) | (~node66(c_p1, s0)))),
% 49.14/31.76 inference(quant_inst,[status(thm)],[])).
% 49.14/31.76 tff(2995,plain,
% 49.14/31.76 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))) | m_processor_v_state(c_p1, s0, c_owned) | (~node66(c_p1, s0))),
% 49.14/31.76 inference(modus_ponens,[status(thm)],[2994, 2993])).
% 49.14/31.76 tff(2996,plain,
% 49.14/31.76 ($false),
% 49.14/31.76 inference(unit_resolution,[status(thm)],[2995, 1765, 2992, 2984])).
% 49.14/31.76 tff(2997,plain,(~node66(c_p1, s0)), inference(lemma,lemma(discharge,[]))).
% 49.14/31.76 tff(2998,plain,
% 49.14/31.76 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p1, s0, c_invalid)) | (~m_processor_v_state(c_p1, s0, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p1, s0, c_invalid)) | (~m_processor_v_state(c_p1, s0, c_shared)))),
% 49.14/31.76 inference(rewrite,[status(thm)],[])).
% 49.14/31.76 tff(2999,plain,
% 49.14/31.76 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p1, s0, c_invalid)) | (~m_processor_v_state(c_p1, s0, c_shared)))),
% 49.14/31.76 inference(quant_inst,[status(thm)],[])).
% 49.14/31.76 tff(3000,plain,
% 49.14/31.76 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p1, s0, c_invalid)) | (~m_processor_v_state(c_p1, s0, c_shared))),
% 49.14/31.76 inference(modus_ponens,[status(thm)],[2999, 2998])).
% 49.14/31.76 tff(3001,plain,
% 49.14/31.76 (~m_processor_v_state(c_p1, s0, c_shared)),
% 49.14/31.76 inference(unit_resolution,[status(thm)],[3000, 977, 2988])).
% 49.14/31.76 tff(3002,plain,
% 49.14/31.76 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p1, s0, c_shared) | (~node63(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p1, s0, c_shared) | (~node63(c_p1, s0)))),
% 49.14/31.76 inference(rewrite,[status(thm)],[])).
% 49.14/31.76 tff(3003,plain,
% 49.14/31.76 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p1, s0, c_shared) | (~node63(c_p1, s0)))),
% 49.14/31.76 inference(quant_inst,[status(thm)],[])).
% 49.14/31.76 tff(3004,plain,
% 49.14/31.76 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p1, s0, c_shared) | (~node63(c_p1, s0))),
% 49.14/31.76 inference(modus_ponens,[status(thm)],[3003, 3002])).
% 49.14/31.76 tff(3005,plain,
% 49.14/31.76 (~node63(c_p1, s0)),
% 49.14/31.76 inference(unit_resolution,[status(thm)],[3004, 1809, 3001])).
% 49.14/31.76 tff(3006,plain,
% 49.14/31.76 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))) | (m_processor_v_state(c_p1, s0, c_owned) | (~node65(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))) | m_processor_v_state(c_p1, s0, c_owned) | (~node65(c_p1, s0)))),
% 49.14/31.76 inference(rewrite,[status(thm)],[])).
% 49.14/31.76 tff(3007,plain,
% 49.14/31.76 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))) | (m_processor_v_state(c_p1, s0, c_owned) | (~node65(c_p1, s0)))),
% 49.14/31.76 inference(quant_inst,[status(thm)],[])).
% 49.14/31.76 tff(3008,plain,
% 49.14/31.76 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))) | m_processor_v_state(c_p1, s0, c_owned) | (~node65(c_p1, s0))),
% 49.14/31.76 inference(modus_ponens,[status(thm)],[3007, 3006])).
% 49.14/31.76 tff(3009,plain,
% 49.14/31.76 (~node65(c_p1, s0)),
% 49.14/31.76 inference(unit_resolution,[status(thm)],[3008, 1787, 2992])).
% 49.14/31.76 tff(3010,assumption,(~node66(c_p1, s0)), introduced(assumption)).
% 49.14/31.76 tff(3011,assumption,(~m_processor_v_cmd(c_p1, s0, c_idle)), introduced(assumption)).
% 49.14/31.76 tff(3012,assumption,(~node62(c_p1, s0)), introduced(assumption)).
% 49.14/31.76 tff(3013,assumption,(node64(c_p1, s0)), introduced(assumption)).
% 49.14/31.76 tff(3014,plain,
% 49.14/31.76 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_state(c_p1, s0, c_owned) | (~node64(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_state(c_p1, s0, c_owned) | (~node64(c_p1, s0)))),
% 49.14/31.76 inference(rewrite,[status(thm)],[])).
% 49.14/31.76 tff(3015,plain,
% 49.14/31.76 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_state(c_p1, s0, c_owned) | (~node64(c_p1, s0)))),
% 49.14/31.76 inference(quant_inst,[status(thm)],[])).
% 49.14/31.76 tff(3016,plain,
% 49.14/31.76 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_state(c_p1, s0, c_owned) | (~node64(c_p1, s0))),
% 49.14/31.76 inference(modus_ponens,[status(thm)],[3015, 3014])).
% 49.14/31.76 tff(3017,plain,
% 49.14/31.76 ($false),
% 49.14/31.76 inference(unit_resolution,[status(thm)],[3016, 1776, 2992, 3013])).
% 49.14/31.76 tff(3018,plain,(~node64(c_p1, s0)), inference(lemma,lemma(discharge,[]))).
% 49.14/31.76 tff(3019,plain,
% 49.14/31.76 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node62(c_p1, s0) | node63(c_p1, s0) | node64(c_p1, s0) | node65(c_p1, s0) | node66(c_p1, s0) | m_processor_v_cmd(c_p1, s0, c_idle))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p1, s0) | node63(c_p1, s0) | node64(c_p1, s0) | node65(c_p1, s0) | node66(c_p1, s0) | m_processor_v_cmd(c_p1, s0, c_idle))),
% 49.14/31.76 inference(rewrite,[status(thm)],[])).
% 49.14/31.76 tff(3020,plain,
% 49.14/31.76 ((m_processor_v_cmd(c_p1, s0, c_idle) | node62(c_p1, s0) | node63(c_p1, s0) | node64(c_p1, s0) | node65(c_p1, s0) | node66(c_p1, s0)) <=> (node62(c_p1, s0) | node63(c_p1, s0) | node64(c_p1, s0) | node65(c_p1, s0) | node66(c_p1, s0) | m_processor_v_cmd(c_p1, s0, c_idle))),
% 49.14/31.76 inference(rewrite,[status(thm)],[])).
% 49.14/31.76 tff(3021,plain,
% 49.14/31.76 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s0, c_idle) | node62(c_p1, s0) | node63(c_p1, s0) | node64(c_p1, s0) | node65(c_p1, s0) | node66(c_p1, s0))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node62(c_p1, s0) | node63(c_p1, s0) | node64(c_p1, s0) | node65(c_p1, s0) | node66(c_p1, s0) | m_processor_v_cmd(c_p1, s0, c_idle)))),
% 49.14/31.76 inference(monotonicity,[status(thm)],[3020])).
% 49.14/31.76 tff(3022,plain,
% 49.14/31.76 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s0, c_idle) | node62(c_p1, s0) | node63(c_p1, s0) | node64(c_p1, s0) | node65(c_p1, s0) | node66(c_p1, s0))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p1, s0) | node63(c_p1, s0) | node64(c_p1, s0) | node65(c_p1, s0) | node66(c_p1, s0) | m_processor_v_cmd(c_p1, s0, c_idle))),
% 49.14/31.76 inference(transitivity,[status(thm)],[3021, 3019])).
% 49.14/31.76 tff(3023,plain,
% 49.14/31.76 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s0, c_idle) | node62(c_p1, s0) | node63(c_p1, s0) | node64(c_p1, s0) | node65(c_p1, s0) | node66(c_p1, s0))),
% 49.14/31.76 inference(quant_inst,[status(thm)],[])).
% 49.14/31.76 tff(3024,plain,
% 49.14/31.76 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p1, s0) | node63(c_p1, s0) | node64(c_p1, s0) | node65(c_p1, s0) | node66(c_p1, s0) | m_processor_v_cmd(c_p1, s0, c_idle)),
% 49.14/31.76 inference(modus_ponens,[status(thm)],[3023, 3022])).
% 49.14/31.76 tff(3025,plain,
% 49.14/31.76 ($false),
% 49.14/31.76 inference(unit_resolution,[status(thm)],[3024, 1508, 3018, 3012, 3011, 3010, 3009, 3005])).
% 49.14/31.76 tff(3026,plain,(node66(c_p1, s0) | node62(c_p1, s0) | m_processor_v_cmd(c_p1, s0, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.14/31.76 tff(3027,plain,
% 49.14/31.76 (node62(c_p1, s0) | m_processor_v_cmd(c_p1, s0, c_idle)),
% 49.14/31.76 inference(unit_resolution,[status(thm)],[3026, 2997])).
% 49.14/31.76 tff(3028,plain,
% 49.14/31.76 ($false),
% 49.14/31.76 inference(unit_resolution,[status(thm)],[3027, 2983, 2968])).
% 49.14/31.76 tff(3029,plain,((~m_processor_v_master(c_p0, s0)) | m_main_v_CMD(s0, c_read_h_owned) | m_main_v_CMD(s0, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.14/31.76 tff(3030,plain,
% 49.14/31.76 (m_main_v_CMD(s0, c_read_h_owned)),
% 49.14/31.76 inference(unit_resolution,[status(thm)],[3029, 2877, 2850])).
% 49.14/31.76 tff(3031,assumption,(~m_processor_v_CMD(c_p0, s0, c_read_h_owned)), introduced(assumption)).
% 49.14/31.76 tff(3032,assumption,(m_main_v_CMD(s0, c_read_h_owned)), introduced(assumption)).
% 49.14/31.76 tff(3033,plain,
% 49.14/31.76 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s0, c_read_h_owned) | (~m_main_v_CMD(s0, c_read_h_owned)) | (~node2(s0)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | (~m_main_v_CMD(s0, c_read_h_owned)) | (~node2(s0)))),
% 49.14/31.76 inference(rewrite,[status(thm)],[])).
% 49.14/31.76 tff(3034,plain,
% 49.14/31.76 (((~m_main_v_CMD(s0, c_read_h_owned)) | (~node2(s0)) | m_processor_v_CMD(c_p0, s0, c_read_h_owned)) <=> (m_processor_v_CMD(c_p0, s0, c_read_h_owned) | (~m_main_v_CMD(s0, c_read_h_owned)) | (~node2(s0)))),
% 49.14/31.76 inference(rewrite,[status(thm)],[])).
% 49.14/31.76 tff(3035,plain,
% 49.14/31.76 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_read_h_owned)) | (~node2(s0)) | m_processor_v_CMD(c_p0, s0, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s0, c_read_h_owned) | (~m_main_v_CMD(s0, c_read_h_owned)) | (~node2(s0))))),
% 49.14/31.76 inference(monotonicity,[status(thm)],[3034])).
% 49.14/31.76 tff(3036,plain,
% 49.14/31.76 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_read_h_owned)) | (~node2(s0)) | m_processor_v_CMD(c_p0, s0, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | (~m_main_v_CMD(s0, c_read_h_owned)) | (~node2(s0)))),
% 49.14/31.76 inference(transitivity,[status(thm)],[3035, 3033])).
% 49.14/31.76 tff(3037,plain,
% 49.14/31.76 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_read_h_owned)) | (~node2(s0)) | m_processor_v_CMD(c_p0, s0, c_read_h_owned))),
% 49.14/31.76 inference(quant_inst,[status(thm)],[])).
% 49.14/31.76 tff(3038,plain,
% 49.14/31.76 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s0, c_read_h_owned) | (~m_main_v_CMD(s0, c_read_h_owned)) | (~node2(s0))),
% 49.14/31.76 inference(modus_ponens,[status(thm)],[3037, 3036])).
% 49.14/31.76 tff(3039,plain,
% 49.14/31.76 ($false),
% 49.14/31.76 inference(unit_resolution,[status(thm)],[3038, 1228, 2868, 3032, 3031])).
% 49.14/31.76 tff(3040,plain,((~m_main_v_CMD(s0, c_read_h_owned)) | m_processor_v_CMD(c_p0, s0, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.14/31.76 tff(3041,plain,
% 49.14/31.76 (m_processor_v_CMD(c_p0, s0, c_read_h_owned)),
% 49.14/31.76 inference(unit_resolution,[status(thm)],[3040, 3030])).
% 49.14/31.76 tff(3042,plain,
% 49.14/31.76 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s0)) | m_processor_v_waiting(c_p0, s1) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_read_h_owned)) | node47(c_p0, s0) | (~node53(c_p0, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s0)) | m_processor_v_waiting(c_p0, s1) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_read_h_owned)) | node47(c_p0, s0) | (~node53(c_p0, s0, s1)))),
% 49.14/31.76 inference(rewrite,[status(thm)],[])).
% 49.14/31.76 tff(3043,plain,
% 49.14/31.76 ((m_processor_v_waiting(c_p0, s1) | (~m_processor_v_CMD(c_p0, s0, c_read_h_owned)) | (~m_processor_v_master(c_p0, s0)) | m_processor_v_abort(c_p0, s0) | node47(c_p0, s0) | (~node53(c_p0, s0, s1))) <=> ((~m_processor_v_master(c_p0, s0)) | m_processor_v_waiting(c_p0, s1) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_read_h_owned)) | node47(c_p0, s0) | (~node53(c_p0, s0, s1)))),
% 49.14/31.76 inference(rewrite,[status(thm)],[])).
% 49.14/31.76 tff(3044,plain,
% 49.14/31.76 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s1) | (~m_processor_v_CMD(c_p0, s0, c_read_h_owned)) | (~m_processor_v_master(c_p0, s0)) | m_processor_v_abort(c_p0, s0) | node47(c_p0, s0) | (~node53(c_p0, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s0)) | m_processor_v_waiting(c_p0, s1) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_read_h_owned)) | node47(c_p0, s0) | (~node53(c_p0, s0, s1))))),
% 49.14/31.76 inference(monotonicity,[status(thm)],[3043])).
% 49.14/31.76 tff(3045,plain,
% 49.14/31.76 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s1) | (~m_processor_v_CMD(c_p0, s0, c_read_h_owned)) | (~m_processor_v_master(c_p0, s0)) | m_processor_v_abort(c_p0, s0) | node47(c_p0, s0) | (~node53(c_p0, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s0)) | m_processor_v_waiting(c_p0, s1) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_read_h_owned)) | node47(c_p0, s0) | (~node53(c_p0, s0, s1)))),
% 49.14/31.76 inference(transitivity,[status(thm)],[3044, 3042])).
% 49.14/31.76 tff(3046,plain,
% 49.14/31.76 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s1) | (~m_processor_v_CMD(c_p0, s0, c_read_h_owned)) | (~m_processor_v_master(c_p0, s0)) | m_processor_v_abort(c_p0, s0) | node47(c_p0, s0) | (~node53(c_p0, s0, s1)))),
% 49.14/31.76 inference(quant_inst,[status(thm)],[])).
% 49.14/31.76 tff(3047,plain,
% 49.14/31.76 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s0)) | m_processor_v_waiting(c_p0, s1) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_read_h_owned)) | node47(c_p0, s0) | (~node53(c_p0, s0, s1))),
% 49.14/31.76 inference(modus_ponens,[status(thm)],[3046, 3045])).
% 49.14/31.76 tff(3048,plain,
% 49.14/31.76 ((~m_processor_v_master(c_p0, s0)) | m_processor_v_waiting(c_p0, s1) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_read_h_owned)) | node47(c_p0, s0)),
% 49.14/31.76 inference(unit_resolution,[status(thm)],[3047, 640, 2854])).
% 49.14/31.76 tff(3049,plain,
% 49.14/31.76 (node47(c_p0, s0)),
% 49.14/31.76 inference(unit_resolution,[status(thm)],[3048, 3041, 2850, 2849, 2848])).
% 49.14/31.76 tff(3050,plain,
% 49.14/31.76 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p0, s0, c_read_h_shared) | (~node47(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | (~node47(c_p0, s0)))),
% 49.14/31.76 inference(rewrite,[status(thm)],[])).
% 49.14/31.76 tff(3051,plain,
% 49.14/31.76 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p0, s0, c_read_h_shared) | (~node47(c_p0, s0)))),
% 49.14/31.76 inference(quant_inst,[status(thm)],[])).
% 49.14/31.76 tff(3052,plain,
% 49.14/31.76 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | (~node47(c_p0, s0))),
% 49.14/31.76 inference(modus_ponens,[status(thm)],[3051, 3050])).
% 49.14/31.76 tff(3053,plain,
% 49.14/31.76 ($false),
% 49.14/31.76 inference(unit_resolution,[status(thm)],[3052, 657, 2862, 3049])).
% 49.14/31.76 tff(3054,plain,(m_processor_v_waiting(c_p0, s1) | (~m_processor_v_master(c_p0, s0)) | m_processor_v_abort(c_p0, s0)), inference(lemma,lemma(discharge,[]))).
% 49.14/31.76 tff(3055,plain,
% 49.14/31.76 (m_processor_v_waiting(c_p0, s1)),
% 49.14/31.76 inference(unit_resolution,[status(thm)],[3054, 2847, 2821])).
% 49.14/31.76 tff(3056,plain,
% 49.14/31.76 (~m_processor_v_master(c_p1, s0)),
% 49.14/31.76 inference(unit_resolution,[status(thm)],[2974, 2847])).
% 49.14/31.76 tff(3057,assumption,(~m_processor_v_state(c_p1, s1, c_invalid)), introduced(assumption)).
% 49.14/31.76 tff(3058,assumption,(node32(c_p1, s0, s1)), introduced(assumption)).
% 49.14/31.76 tff(3059,plain,
% 49.14/31.76 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | (~node32(c_p1, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | (~node32(c_p1, s0, s1)))),
% 49.14/31.76 inference(rewrite,[status(thm)],[])).
% 49.14/31.76 tff(3060,plain,
% 49.14/31.76 (((~node32(c_p1, s0, s1)) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid)) <=> ((~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | (~node32(c_p1, s0, s1)))),
% 49.14/31.76 inference(rewrite,[status(thm)],[])).
% 49.14/31.76 tff(3061,plain,
% 49.14/31.76 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s0, s1)) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | (~node32(c_p1, s0, s1))))),
% 49.14/31.76 inference(monotonicity,[status(thm)],[3060])).
% 49.14/31.76 tff(3062,plain,
% 49.14/31.76 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s0, s1)) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | (~node32(c_p1, s0, s1)))),
% 49.14/31.76 inference(transitivity,[status(thm)],[3061, 3059])).
% 49.14/31.76 tff(3063,plain,
% 49.14/31.76 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s0, s1)) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid))),
% 49.14/31.76 inference(quant_inst,[status(thm)],[])).
% 49.14/31.76 tff(3064,plain,
% 49.14/31.76 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | (~node32(c_p1, s0, s1))),
% 49.14/31.76 inference(modus_ponens,[status(thm)],[3063, 3062])).
% 49.14/31.76 tff(3065,plain,
% 49.14/31.76 ($false),
% 49.14/31.76 inference(unit_resolution,[status(thm)],[3064, 380, 2988, 3057, 3058])).
% 49.14/31.76 tff(3066,plain,((~node32(c_p1, s0, s1)) | m_processor_v_state(c_p1, s1, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.14/31.76 tff(3067,plain,
% 49.14/31.76 (~node32(c_p1, s0, s1)),
% 49.14/31.76 inference(unit_resolution,[status(thm)],[3066, 3057])).
% 49.14/31.76 tff(3068,assumption,(m_processor_v_abort(c_p1, s0)), introduced(assumption)).
% 49.14/31.76 tff(3069,assumption,(~node32(c_p1, s0, s1)), introduced(assumption)).
% 49.14/31.76 tff(3070,assumption,(~node38(c_p1, s0, s1)), introduced(assumption)).
% 49.14/31.76 tff(3071,plain,
% 49.14/31.76 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s0, s1)) | node38(c_p1, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s0, s1)) | node38(c_p1, s0, s1))),
% 49.14/31.76 inference(rewrite,[status(thm)],[])).
% 49.14/31.76 tff(3072,plain,
% 49.14/31.76 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s0, s1)) | node38(c_p1, s0, s1))),
% 49.14/31.76 inference(quant_inst,[status(thm)],[])).
% 49.14/31.76 tff(3073,plain,
% 49.14/31.76 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s0, s1)) | node38(c_p1, s0, s1)),
% 49.14/31.76 inference(modus_ponens,[status(thm)],[3072, 3071])).
% 49.14/31.76 tff(3074,plain,
% 49.14/31.76 ($false),
% 49.14/31.76 inference(unit_resolution,[status(thm)],[3073, 210, 2811, 3070])).
% 49.14/31.76 tff(3075,plain,(node38(c_p1, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 49.14/31.76 tff(3076,plain,
% 49.14/31.76 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | ((~node38(c_p1, s0, s1)) | (~m_processor_v_abort(c_p1, s0)) | node32(c_p1, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~node38(c_p1, s0, s1)) | (~m_processor_v_abort(c_p1, s0)) | node32(c_p1, s0, s1))),
% 49.14/31.77 inference(rewrite,[status(thm)],[])).
% 49.14/31.77 tff(3077,plain,
% 49.14/31.77 ((node32(c_p1, s0, s1) | (~node38(c_p1, s0, s1)) | (~m_processor_v_abort(c_p1, s0))) <=> ((~node38(c_p1, s0, s1)) | (~m_processor_v_abort(c_p1, s0)) | node32(c_p1, s0, s1))),
% 49.14/31.77 inference(rewrite,[status(thm)],[])).
% 49.14/31.77 tff(3078,plain,
% 49.14/31.77 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s0, s1) | (~node38(c_p1, s0, s1)) | (~m_processor_v_abort(c_p1, s0)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | ((~node38(c_p1, s0, s1)) | (~m_processor_v_abort(c_p1, s0)) | node32(c_p1, s0, s1)))),
% 49.14/31.77 inference(monotonicity,[status(thm)],[3077])).
% 49.14/31.77 tff(3079,plain,
% 49.14/31.77 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s0, s1) | (~node38(c_p1, s0, s1)) | (~m_processor_v_abort(c_p1, s0)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~node38(c_p1, s0, s1)) | (~m_processor_v_abort(c_p1, s0)) | node32(c_p1, s0, s1))),
% 49.14/31.77 inference(transitivity,[status(thm)],[3078, 3076])).
% 49.14/31.77 tff(3080,plain,
% 49.14/31.77 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s0, s1) | (~node38(c_p1, s0, s1)) | (~m_processor_v_abort(c_p1, s0)))),
% 49.14/31.77 inference(quant_inst,[status(thm)],[])).
% 49.14/31.77 tff(3081,plain,
% 49.14/31.77 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~node38(c_p1, s0, s1)) | (~m_processor_v_abort(c_p1, s0)) | node32(c_p1, s0, s1)),
% 49.14/31.77 inference(modus_ponens,[status(thm)],[3080, 3079])).
% 49.14/31.77 tff(3082,plain,
% 49.14/31.77 ($false),
% 49.14/31.77 inference(unit_resolution,[status(thm)],[3081, 243, 3075, 3069, 3068])).
% 49.14/31.77 tff(3083,plain,((~m_processor_v_abort(c_p1, s0)) | node32(c_p1, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 49.14/31.77 tff(3084,plain,
% 49.14/31.77 (~m_processor_v_abort(c_p1, s0)),
% 49.14/31.77 inference(unit_resolution,[status(thm)],[3083, 3067])).
% 49.14/31.77 tff(3085,plain,
% 49.14/31.77 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | (~node37(c_p1, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | (~node37(c_p1, s0, s1)))),
% 49.14/31.77 inference(rewrite,[status(thm)],[])).
% 49.14/31.77 tff(3086,plain,
% 49.14/31.77 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | (~node37(c_p1, s0, s1)))),
% 49.14/31.77 inference(quant_inst,[status(thm)],[])).
% 49.14/31.77 tff(3087,plain,
% 49.14/31.77 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | (~node37(c_p1, s0, s1))),
% 49.14/31.77 inference(modus_ponens,[status(thm)],[3086, 3085])).
% 49.14/31.77 tff(3088,plain,
% 49.14/31.77 (~node37(c_p1, s0, s1)),
% 49.14/31.77 inference(unit_resolution,[status(thm)],[3087, 2411, 2988, 3057])).
% 49.14/31.77 tff(3089,assumption,(node36(c_p1, s0)), introduced(assumption)).
% 49.14/31.77 tff(3090,plain,
% 49.14/31.77 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p1, s0, c_shared) | (~node36(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p1, s0, c_shared) | (~node36(c_p1, s0)))),
% 49.14/31.77 inference(rewrite,[status(thm)],[])).
% 49.14/31.77 tff(3091,plain,
% 49.14/31.77 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p1, s0, c_shared) | (~node36(c_p1, s0)))),
% 49.14/31.77 inference(quant_inst,[status(thm)],[])).
% 49.14/31.77 tff(3092,plain,
% 49.14/31.77 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p1, s0, c_shared) | (~node36(c_p1, s0))),
% 49.14/31.77 inference(modus_ponens,[status(thm)],[3091, 3090])).
% 49.14/31.77 tff(3093,plain,
% 49.14/31.77 ($false),
% 49.14/31.77 inference(unit_resolution,[status(thm)],[3092, 167, 3001, 3089])).
% 49.14/31.77 tff(3094,plain,(~node36(c_p1, s0)), inference(lemma,lemma(discharge,[]))).
% 49.14/31.77 tff(3095,plain,
% 49.14/31.77 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s0) | m_processor_v_state(c_p1, s0, c_shared) | node36(c_p1, s0) | node37(c_p1, s0, s1) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s0) | m_processor_v_state(c_p1, s0, c_shared) | node36(c_p1, s0) | node37(c_p1, s0, s1) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0))),
% 49.14/31.77 inference(rewrite,[status(thm)],[])).
% 49.14/31.77 tff(3096,plain,
% 49.14/31.77 ((m_processor_v_state(c_p1, s0, c_shared) | node36(c_p1, s0) | m_processor_v_master(c_p1, s0) | node37(c_p1, s0, s1) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0)) <=> (m_processor_v_master(c_p1, s0) | m_processor_v_state(c_p1, s0, c_shared) | node36(c_p1, s0) | node37(c_p1, s0, s1) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0))),
% 49.14/31.77 inference(rewrite,[status(thm)],[])).
% 49.14/31.77 tff(3097,plain,
% 49.14/31.77 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s0, c_shared) | node36(c_p1, s0) | m_processor_v_master(c_p1, s0) | node37(c_p1, s0, s1) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s0) | m_processor_v_state(c_p1, s0, c_shared) | node36(c_p1, s0) | node37(c_p1, s0, s1) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0)))),
% 49.14/31.77 inference(monotonicity,[status(thm)],[3096])).
% 49.14/31.77 tff(3098,plain,
% 49.14/31.77 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s0, c_shared) | node36(c_p1, s0) | m_processor_v_master(c_p1, s0) | node37(c_p1, s0, s1) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s0) | m_processor_v_state(c_p1, s0, c_shared) | node36(c_p1, s0) | node37(c_p1, s0, s1) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0))),
% 49.14/31.77 inference(transitivity,[status(thm)],[3097, 3095])).
% 49.14/31.77 tff(3099,plain,
% 49.14/31.77 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s0, c_shared) | node36(c_p1, s0) | m_processor_v_master(c_p1, s0) | node37(c_p1, s0, s1) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0))),
% 49.14/31.77 inference(quant_inst,[status(thm)],[])).
% 49.14/31.77 tff(3100,plain,
% 49.14/31.77 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s0) | m_processor_v_state(c_p1, s0, c_shared) | node36(c_p1, s0) | node37(c_p1, s0, s1) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0)),
% 49.14/31.77 inference(modus_ponens,[status(thm)],[3099, 3098])).
% 49.14/31.77 tff(3101,plain,
% 49.14/31.77 ($false),
% 49.14/31.77 inference(unit_resolution,[status(thm)],[3100, 225, 3075, 2977, 3001, 3094, 3088, 3084])).
% 49.14/31.77 tff(3102,plain,(m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_master(c_p1, s0)), inference(lemma,lemma(discharge,[]))).
% 49.14/31.77 tff(3103,plain,
% 49.14/31.77 (m_processor_v_state(c_p1, s1, c_invalid)),
% 49.14/31.77 inference(unit_resolution,[status(thm)],[3102, 3056])).
% 49.14/31.77 tff(3104,assumption,(m_processor_v_state(c_p1, s1, c_invalid)), introduced(assumption)).
% 49.14/31.77 tff(3105,plain,
% 49.14/31.77 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_state(c_p1, s1, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_state(c_p1, s1, c_shared)))),
% 49.14/31.77 inference(rewrite,[status(thm)],[])).
% 49.14/31.77 tff(3106,plain,
% 49.14/31.77 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_state(c_p1, s1, c_shared)))),
% 49.14/31.77 inference(quant_inst,[status(thm)],[])).
% 49.14/31.77 tff(3107,plain,
% 49.14/31.77 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_state(c_p1, s1, c_shared))),
% 49.14/31.77 inference(modus_ponens,[status(thm)],[3106, 3105])).
% 49.14/31.77 tff(3108,plain,
% 49.14/31.77 (~m_processor_v_state(c_p1, s1, c_shared)),
% 49.14/31.77 inference(unit_resolution,[status(thm)],[3107, 977, 3104])).
% 49.14/31.77 tff(3109,assumption,(m_processor_v_waiting(c_p0, s1)), introduced(assumption)).
% 49.14/31.77 tff(3110,assumption,(~m_processor_v_state(c_p1, s2, c_shared)), introduced(assumption)).
% 49.14/31.77 tff(3111,assumption,(~m_processor_v_master(c_p1, s1)), introduced(assumption)).
% 49.14/31.77 tff(3112,assumption,(~m_processor_v_state(c_p1, s2, c_owned)), introduced(assumption)).
% 49.14/31.77 tff(3113,plain,
% 49.14/31.77 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p1, s2, c_owned) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_state(c_p1, s2, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p1, s2, c_owned) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_state(c_p1, s2, c_invalid))),
% 49.14/31.77 inference(rewrite,[status(thm)],[])).
% 49.14/31.77 tff(3114,plain,
% 49.14/31.77 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p1, s2, c_owned) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_state(c_p1, s2, c_invalid))),
% 49.14/31.77 inference(quant_inst,[status(thm)],[])).
% 49.14/31.77 tff(3115,plain,
% 49.14/31.77 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p1, s2, c_owned) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_state(c_p1, s2, c_invalid)),
% 49.14/31.77 inference(modus_ponens,[status(thm)],[3114, 3113])).
% 49.14/31.77 tff(3116,plain,
% 49.14/31.77 ($false),
% 49.14/31.77 inference(unit_resolution,[status(thm)],[3115, 153, 3110, 2781, 3112])).
% 49.14/31.77 tff(3117,plain,(m_processor_v_state(c_p1, s2, c_owned) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_state(c_p1, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.14/31.77 tff(3118,plain,
% 49.14/31.77 (m_processor_v_state(c_p1, s2, c_owned)),
% 49.14/31.77 inference(unit_resolution,[status(thm)],[3117, 2781, 3110])).
% 49.14/31.77 tff(3119,assumption,(node32(c_p1, s1, s2)), introduced(assumption)).
% 49.14/31.77 tff(3120,plain,
% 49.14/31.77 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_state(c_p1, s2, c_invalid) | (~node32(c_p1, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_state(c_p1, s2, c_invalid) | (~node32(c_p1, s1, s2)))),
% 49.14/31.77 inference(rewrite,[status(thm)],[])).
% 49.14/31.77 tff(3121,plain,
% 49.14/31.77 (((~node32(c_p1, s1, s2)) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_state(c_p1, s2, c_invalid)) <=> ((~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_state(c_p1, s2, c_invalid) | (~node32(c_p1, s1, s2)))),
% 49.14/31.77 inference(rewrite,[status(thm)],[])).
% 49.14/31.77 tff(3122,plain,
% 49.14/31.77 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s1, s2)) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_state(c_p1, s2, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_state(c_p1, s2, c_invalid) | (~node32(c_p1, s1, s2))))),
% 49.14/31.77 inference(monotonicity,[status(thm)],[3121])).
% 49.14/31.77 tff(3123,plain,
% 49.14/31.77 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s1, s2)) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_state(c_p1, s2, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_state(c_p1, s2, c_invalid) | (~node32(c_p1, s1, s2)))),
% 49.14/31.77 inference(transitivity,[status(thm)],[3122, 3120])).
% 49.14/31.77 tff(3124,plain,
% 49.14/31.77 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s1, s2)) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_state(c_p1, s2, c_invalid))),
% 49.14/31.77 inference(quant_inst,[status(thm)],[])).
% 49.14/31.77 tff(3125,plain,
% 49.14/31.77 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_state(c_p1, s2, c_invalid) | (~node32(c_p1, s1, s2))),
% 49.14/31.77 inference(modus_ponens,[status(thm)],[3124, 3123])).
% 49.14/31.77 tff(3126,plain,
% 49.14/31.77 ($false),
% 49.14/31.77 inference(unit_resolution,[status(thm)],[3125, 380, 3104, 2781, 3119])).
% 49.14/31.77 tff(3127,plain,((~node32(c_p1, s1, s2)) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_state(c_p1, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.14/31.77 tff(3128,plain,
% 49.14/31.77 (~node32(c_p1, s1, s2)),
% 49.14/31.77 inference(unit_resolution,[status(thm)],[3127, 3104, 2781])).
% 49.14/31.77 tff(3129,assumption,(~node38(c_p1, s1, s2)), introduced(assumption)).
% 49.14/31.77 tff(3130,plain,
% 49.14/31.77 (succ(s1, s2) <=> succ(s1, s2)),
% 49.14/31.77 inference(rewrite,[status(thm)],[])).
% 49.14/31.77 tff(3131,axiom,(succ(s1, s2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound2')).
% 49.14/31.77 tff(3132,plain,
% 49.14/31.77 (succ(s1, s2)),
% 49.14/31.77 inference(modus_ponens,[status(thm)],[3131, 3130])).
% 49.14/31.77 tff(3133,plain,
% 49.14/31.77 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s1, s2)) | trans(s1, s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s1, s2)) | trans(s1, s2))),
% 49.14/31.77 inference(rewrite,[status(thm)],[])).
% 49.14/31.77 tff(3134,plain,
% 49.14/31.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s1, s2)) | trans(s1, s2))),
% 49.14/31.77 inference(quant_inst,[status(thm)],[])).
% 49.14/31.77 tff(3135,plain,
% 49.14/31.77 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s1, s2)) | trans(s1, s2)),
% 49.14/31.77 inference(modus_ponens,[status(thm)],[3134, 3133])).
% 49.14/31.77 tff(3136,plain,
% 49.14/31.77 (trans(s1, s2)),
% 49.14/31.77 inference(unit_resolution,[status(thm)],[3135, 3132, 196])).
% 49.14/31.77 tff(3137,plain,
% 49.14/31.77 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s1, s2)) | node38(c_p1, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s1, s2)) | node38(c_p1, s1, s2))),
% 49.14/31.77 inference(rewrite,[status(thm)],[])).
% 49.14/31.77 tff(3138,plain,
% 49.14/31.77 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s1, s2)) | node38(c_p1, s1, s2))),
% 49.14/31.77 inference(quant_inst,[status(thm)],[])).
% 49.14/31.77 tff(3139,plain,
% 49.14/31.77 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s1, s2)) | node38(c_p1, s1, s2)),
% 49.14/31.77 inference(modus_ponens,[status(thm)],[3138, 3137])).
% 49.14/31.77 tff(3140,plain,
% 49.14/31.77 ($false),
% 49.14/31.77 inference(unit_resolution,[status(thm)],[3139, 210, 3136, 3129])).
% 49.14/31.77 tff(3141,plain,(node38(c_p1, s1, s2)), inference(lemma,lemma(discharge,[]))).
% 49.14/31.77 tff(3142,plain,
% 49.14/31.77 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s1, s2) | (~node38(c_p1, s1, s2)) | (~m_processor_v_abort(c_p1, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p1, s1, s2) | (~node38(c_p1, s1, s2)) | (~m_processor_v_abort(c_p1, s1)))),
% 49.14/31.77 inference(rewrite,[status(thm)],[])).
% 49.14/31.77 tff(3143,plain,
% 49.14/31.77 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s1, s2) | (~node38(c_p1, s1, s2)) | (~m_processor_v_abort(c_p1, s1)))),
% 49.14/31.77 inference(quant_inst,[status(thm)],[])).
% 49.14/31.77 tff(3144,plain,
% 49.14/31.77 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p1, s1, s2) | (~node38(c_p1, s1, s2)) | (~m_processor_v_abort(c_p1, s1))),
% 49.14/31.77 inference(modus_ponens,[status(thm)],[3143, 3142])).
% 49.14/31.77 tff(3145,plain,
% 49.14/31.77 (node32(c_p1, s1, s2) | (~m_processor_v_abort(c_p1, s1))),
% 49.14/31.77 inference(unit_resolution,[status(thm)],[3144, 243, 3141])).
% 49.14/31.77 tff(3146,plain,
% 49.14/31.77 (~m_processor_v_abort(c_p1, s1)),
% 49.14/31.77 inference(unit_resolution,[status(thm)],[3145, 3128])).
% 49.14/31.77 tff(3147,assumption,(m_processor_v_state(c_p1, s2, c_owned)), introduced(assumption)).
% 49.14/31.77 tff(3148,assumption,(m_processor_v_state(c_p1, s1, c_owned)), introduced(assumption)).
% 49.14/31.77 tff(3149,plain,
% 49.14/31.77 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_state(c_p1, s1, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_state(c_p1, s1, c_owned)))),
% 49.14/31.77 inference(rewrite,[status(thm)],[])).
% 49.14/31.77 tff(3150,plain,
% 49.14/31.77 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_state(c_p1, s1, c_owned)))),
% 49.14/31.77 inference(quant_inst,[status(thm)],[])).
% 49.14/31.77 tff(3151,plain,
% 49.14/31.77 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_state(c_p1, s1, c_owned))),
% 49.14/31.77 inference(modus_ponens,[status(thm)],[3150, 3149])).
% 49.14/31.77 tff(3152,plain,
% 49.14/31.77 ($false),
% 49.14/31.77 inference(unit_resolution,[status(thm)],[3151, 137, 3104, 3148])).
% 49.14/31.77 tff(3153,plain,((~m_processor_v_state(c_p1, s1, c_owned)) | (~m_processor_v_state(c_p1, s1, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 49.14/31.77 tff(3154,plain,
% 49.14/31.77 (~m_processor_v_state(c_p1, s1, c_owned)),
% 49.14/31.77 inference(unit_resolution,[status(thm)],[3153, 3104])).
% 49.14/31.77 tff(3155,assumption,(~m_processor_v_state(c_p1, s1, c_owned)), introduced(assumption)).
% 49.14/31.77 tff(3156,assumption,(node37(c_p1, s1, s2)), introduced(assumption)).
% 49.14/31.77 tff(3157,plain,
% 49.14/31.77 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s1, c_owned) | (~node37(c_p1, s1, s2)) | (~m_processor_v_state(c_p1, s2, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s1, c_owned) | (~node37(c_p1, s1, s2)) | (~m_processor_v_state(c_p1, s2, c_owned)))),
% 49.14/31.77 inference(rewrite,[status(thm)],[])).
% 49.14/31.77 tff(3158,plain,
% 49.14/31.77 ((m_processor_v_state(c_p1, s1, c_owned) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~node37(c_p1, s1, s2))) <=> (m_processor_v_state(c_p1, s1, c_owned) | (~node37(c_p1, s1, s2)) | (~m_processor_v_state(c_p1, s2, c_owned)))),
% 49.14/31.77 inference(rewrite,[status(thm)],[])).
% 49.14/31.77 tff(3159,plain,
% 49.14/31.77 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s1, c_owned) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~node37(c_p1, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s1, c_owned) | (~node37(c_p1, s1, s2)) | (~m_processor_v_state(c_p1, s2, c_owned))))),
% 49.14/31.77 inference(monotonicity,[status(thm)],[3158])).
% 49.14/31.77 tff(3160,plain,
% 49.14/31.77 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s1, c_owned) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~node37(c_p1, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s1, c_owned) | (~node37(c_p1, s1, s2)) | (~m_processor_v_state(c_p1, s2, c_owned)))),
% 49.14/31.77 inference(transitivity,[status(thm)],[3159, 3157])).
% 49.14/31.77 tff(3161,plain,
% 49.14/31.77 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s1, c_owned) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~node37(c_p1, s1, s2)))),
% 49.14/31.77 inference(quant_inst,[status(thm)],[])).
% 49.14/31.77 tff(3162,plain,
% 49.14/31.77 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s1, c_owned) | (~node37(c_p1, s1, s2)) | (~m_processor_v_state(c_p1, s2, c_owned))),
% 49.14/31.77 inference(modus_ponens,[status(thm)],[3161, 3160])).
% 49.14/31.77 tff(3163,plain,
% 49.14/31.77 ($false),
% 49.14/31.77 inference(unit_resolution,[status(thm)],[3162, 182, 3156, 3155, 3147])).
% 49.14/31.77 tff(3164,plain,(m_processor_v_state(c_p1, s1, c_owned) | (~node37(c_p1, s1, s2)) | (~m_processor_v_state(c_p1, s2, c_owned))), inference(lemma,lemma(discharge,[]))).
% 49.14/31.77 tff(3165,plain,
% 49.14/31.77 (~node37(c_p1, s1, s2)),
% 49.14/31.77 inference(unit_resolution,[status(thm)],[3164, 3154, 3147])).
% 49.14/31.77 tff(3166,plain,
% 49.14/31.77 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s1) | m_processor_v_state(c_p1, s1, c_shared) | node36(c_p1, s1) | node37(c_p1, s1, s2) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s1) | m_processor_v_state(c_p1, s1, c_shared) | node36(c_p1, s1) | node37(c_p1, s1, s2) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1))),
% 49.14/31.77 inference(rewrite,[status(thm)],[])).
% 49.14/31.77 tff(3167,plain,
% 49.14/31.77 ((m_processor_v_state(c_p1, s1, c_shared) | node36(c_p1, s1) | m_processor_v_master(c_p1, s1) | node37(c_p1, s1, s2) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1)) <=> (m_processor_v_master(c_p1, s1) | m_processor_v_state(c_p1, s1, c_shared) | node36(c_p1, s1) | node37(c_p1, s1, s2) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1))),
% 49.14/31.77 inference(rewrite,[status(thm)],[])).
% 49.14/31.77 tff(3168,plain,
% 49.14/31.77 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s1, c_shared) | node36(c_p1, s1) | m_processor_v_master(c_p1, s1) | node37(c_p1, s1, s2) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s1) | m_processor_v_state(c_p1, s1, c_shared) | node36(c_p1, s1) | node37(c_p1, s1, s2) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1)))),
% 49.14/31.78 inference(monotonicity,[status(thm)],[3167])).
% 49.14/31.78 tff(3169,plain,
% 49.14/31.78 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s1, c_shared) | node36(c_p1, s1) | m_processor_v_master(c_p1, s1) | node37(c_p1, s1, s2) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s1) | m_processor_v_state(c_p1, s1, c_shared) | node36(c_p1, s1) | node37(c_p1, s1, s2) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1))),
% 49.14/31.78 inference(transitivity,[status(thm)],[3168, 3166])).
% 49.14/31.78 tff(3170,plain,
% 49.14/31.78 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s1, c_shared) | node36(c_p1, s1) | m_processor_v_master(c_p1, s1) | node37(c_p1, s1, s2) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1))),
% 49.14/31.78 inference(quant_inst,[status(thm)],[])).
% 49.14/31.78 tff(3171,plain,
% 49.14/31.78 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s1) | m_processor_v_state(c_p1, s1, c_shared) | node36(c_p1, s1) | node37(c_p1, s1, s2) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1)),
% 49.14/31.78 inference(modus_ponens,[status(thm)],[3170, 3169])).
% 49.14/31.78 tff(3172,plain,
% 49.14/31.78 (m_processor_v_master(c_p1, s1) | m_processor_v_state(c_p1, s1, c_shared) | node36(c_p1, s1) | node37(c_p1, s1, s2) | m_processor_v_abort(c_p1, s1)),
% 49.14/31.78 inference(unit_resolution,[status(thm)],[3171, 225, 3141])).
% 49.14/31.78 tff(3173,plain,
% 49.14/31.78 (node36(c_p1, s1)),
% 49.14/31.78 inference(unit_resolution,[status(thm)],[3172, 3108, 3111, 3165, 3146])).
% 49.14/31.78 tff(3174,plain,
% 49.14/31.78 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p1, s1, c_shared) | (~node36(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p1, s1, c_shared) | (~node36(c_p1, s1)))),
% 49.14/31.78 inference(rewrite,[status(thm)],[])).
% 49.14/31.78 tff(3175,plain,
% 49.14/31.78 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p1, s1, c_shared) | (~node36(c_p1, s1)))),
% 49.14/31.78 inference(quant_inst,[status(thm)],[])).
% 49.14/31.78 tff(3176,plain,
% 49.14/31.78 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p1, s1, c_shared) | (~node36(c_p1, s1))),
% 49.14/31.78 inference(modus_ponens,[status(thm)],[3175, 3174])).
% 49.14/31.78 tff(3177,plain,
% 49.14/31.78 ($false),
% 49.14/31.78 inference(unit_resolution,[status(thm)],[3176, 167, 3108, 3173])).
% 49.14/31.78 tff(3178,plain,((~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_master(c_p1, s1) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.14/31.78 tff(3179,plain,
% 49.14/31.78 ($false),
% 49.14/31.78 inference(unit_resolution,[status(thm)],[3178, 3118, 2781, 3104, 3111])).
% 49.14/31.78 tff(3180,plain,(m_processor_v_state(c_p1, s2, c_invalid) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_master(c_p1, s1) | m_processor_v_state(c_p1, s2, c_shared)), inference(lemma,lemma(discharge,[]))).
% 49.14/31.78 tff(3181,plain,
% 49.14/31.78 (m_processor_v_master(c_p1, s1)),
% 49.14/31.78 inference(unit_resolution,[status(thm)],[3180, 3110, 3104, 2781])).
% 49.14/31.78 tff(3182,assumption,(m_processor_v_cmd(c_p1, s1, c_idle)), introduced(assumption)).
% 49.14/31.78 tff(3183,plain,
% 49.14/31.78 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned))) <=> ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned))))),
% 49.14/31.78 inference(bind,[status(th)],[])).
% 49.14/31.78 tff(3184,plain,
% 49.14/31.78 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))),
% 49.14/31.78 inference(quant_intro,[status(thm)],[3183])).
% 49.14/31.78 tff(3185,plain,
% 49.14/31.78 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))),
% 49.14/31.78 inference(rewrite,[status(thm)],[])).
% 49.14/31.78 tff(3186,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_3')).
% 49.14/31.78 tff(3187,plain,
% 49.14/31.78 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))),
% 49.14/31.78 inference(modus_ponens,[status(thm)],[3186, 3185])).
% 49.14/31.78 tff(3188,plain,(
% 49.14/31.78 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))),
% 49.14/31.78 inference(skolemize,[status(sab)],[3187])).
% 49.14/31.78 tff(3189,plain,
% 49.14/31.78 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))),
% 49.14/31.78 inference(modus_ponens,[status(thm)],[3188, 3184])).
% 49.14/31.78 tff(3190,plain,
% 49.14/31.78 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)))),
% 49.14/31.78 inference(rewrite,[status(thm)],[])).
% 49.14/31.78 tff(3191,plain,
% 49.14/31.78 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)))),
% 49.14/31.78 inference(quant_inst,[status(thm)],[])).
% 49.14/31.78 tff(3192,plain,
% 49.14/31.78 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned))),
% 49.14/31.78 inference(modus_ponens,[status(thm)],[3191, 3190])).
% 49.14/31.78 tff(3193,plain,
% 49.14/31.78 (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)),
% 49.14/31.78 inference(unit_resolution,[status(thm)],[3192, 3189, 3182])).
% 49.14/31.78 tff(3194,plain,
% 49.14/31.78 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared))) <=> ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared))))),
% 49.14/31.78 inference(bind,[status(th)],[])).
% 49.14/31.78 tff(3195,plain,
% 49.14/31.78 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))),
% 49.14/31.78 inference(quant_intro,[status(thm)],[3194])).
% 49.14/31.78 tff(3196,plain,
% 49.14/31.78 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))),
% 49.14/31.78 inference(rewrite,[status(thm)],[])).
% 49.14/31.78 tff(3197,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_2')).
% 49.14/31.78 tff(3198,plain,
% 49.14/31.78 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))),
% 49.14/31.78 inference(modus_ponens,[status(thm)],[3197, 3196])).
% 49.14/31.78 tff(3199,plain,(
% 49.14/31.78 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))),
% 49.14/31.78 inference(skolemize,[status(sab)],[3198])).
% 49.14/31.78 tff(3200,plain,
% 49.14/31.78 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))),
% 49.14/31.78 inference(modus_ponens,[status(thm)],[3199, 3195])).
% 49.14/31.78 tff(3201,plain,
% 49.14/31.78 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)))),
% 49.14/31.78 inference(rewrite,[status(thm)],[])).
% 49.14/31.78 tff(3202,plain,
% 49.14/31.78 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)))),
% 49.14/31.78 inference(quant_inst,[status(thm)],[])).
% 49.14/31.78 tff(3203,plain,
% 49.14/31.78 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared))),
% 49.14/31.78 inference(modus_ponens,[status(thm)],[3202, 3201])).
% 49.14/31.78 tff(3204,plain,
% 49.14/31.78 (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)),
% 49.14/31.78 inference(unit_resolution,[status(thm)],[3203, 3200, 3182])).
% 49.14/31.78 tff(3205,assumption,(m_processor_v_master(c_p1, s1)), introduced(assumption)).
% 49.14/31.78 tff(3206,plain,
% 49.14/31.78 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p1, s1)) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_cmd(c_p1, s1, c_read_h_owned) | m_processor_v_cmd(c_p1, s1, c_read_h_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s1)) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_cmd(c_p1, s1, c_read_h_owned) | m_processor_v_cmd(c_p1, s1, c_read_h_shared))),
% 49.14/31.78 inference(rewrite,[status(thm)],[])).
% 49.14/31.78 tff(3207,plain,
% 49.14/31.78 ((m_processor_v_cmd(c_p1, s1, c_read_h_owned) | m_processor_v_cmd(c_p1, s1, c_read_h_shared) | (~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_master(c_p1, s1))) <=> ((~m_processor_v_master(c_p1, s1)) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_cmd(c_p1, s1, c_read_h_owned) | m_processor_v_cmd(c_p1, s1, c_read_h_shared))),
% 49.14/31.78 inference(rewrite,[status(thm)],[])).
% 49.14/31.78 tff(3208,plain,
% 49.14/31.78 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s1, c_read_h_owned) | m_processor_v_cmd(c_p1, s1, c_read_h_shared) | (~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_master(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p1, s1)) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_cmd(c_p1, s1, c_read_h_owned) | m_processor_v_cmd(c_p1, s1, c_read_h_shared)))),
% 49.14/31.78 inference(monotonicity,[status(thm)],[3207])).
% 49.14/31.78 tff(3209,plain,
% 49.14/31.78 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s1, c_read_h_owned) | m_processor_v_cmd(c_p1, s1, c_read_h_shared) | (~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_master(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s1)) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_cmd(c_p1, s1, c_read_h_owned) | m_processor_v_cmd(c_p1, s1, c_read_h_shared))),
% 49.14/31.78 inference(transitivity,[status(thm)],[3208, 3206])).
% 49.14/31.78 tff(3210,plain,
% 49.14/31.78 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s1, c_read_h_owned) | m_processor_v_cmd(c_p1, s1, c_read_h_shared) | (~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_master(c_p1, s1)))),
% 49.14/31.78 inference(quant_inst,[status(thm)],[])).
% 49.14/31.78 tff(3211,plain,
% 49.14/31.78 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s1)) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_cmd(c_p1, s1, c_read_h_owned) | m_processor_v_cmd(c_p1, s1, c_read_h_shared)),
% 49.14/31.78 inference(modus_ponens,[status(thm)],[3210, 3209])).
% 49.14/31.78 tff(3212,plain,
% 49.14/31.78 (m_processor_v_cmd(c_p1, s1, c_read_h_owned) | m_processor_v_cmd(c_p1, s1, c_read_h_shared)),
% 49.14/31.78 inference(unit_resolution,[status(thm)],[3211, 1835, 3104, 3205])).
% 49.14/31.78 tff(3213,plain,
% 49.14/31.78 ($false),
% 49.14/31.78 inference(unit_resolution,[status(thm)],[3212, 3204, 3193])).
% 49.14/31.78 tff(3214,plain,((~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_master(c_p1, s1))), inference(lemma,lemma(discharge,[]))).
% 49.14/31.78 tff(3215,plain,
% 49.14/31.78 (~m_processor_v_cmd(c_p1, s1, c_idle)),
% 49.14/31.78 inference(unit_resolution,[status(thm)],[3214, 3181, 3104])).
% 49.14/31.78 tff(3216,assumption,(~node34(c_p1, s1, s2)), introduced(assumption)).
% 49.14/31.78 tff(3217,plain,
% 49.14/31.78 (m_processor_v_master(c_p1, s1)),
% 49.14/31.78 inference(unit_resolution,[status(thm)],[3180, 3104, 3110, 2781])).
% 49.14/31.78 tff(3218,plain,
% 49.14/31.78 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p1, s1)) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1) | node34(c_p1, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s1)) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1) | node34(c_p1, s1, s2))),
% 49.14/31.78 inference(rewrite,[status(thm)],[])).
% 49.14/31.78 tff(3219,plain,
% 49.14/31.78 ((node34(c_p1, s1, s2) | (~m_processor_v_master(c_p1, s1)) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1)) <=> ((~m_processor_v_master(c_p1, s1)) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1) | node34(c_p1, s1, s2))),
% 49.14/31.78 inference(rewrite,[status(thm)],[])).
% 49.14/31.78 tff(3220,plain,
% 49.14/31.78 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s1, s2) | (~m_processor_v_master(c_p1, s1)) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p1, s1)) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1) | node34(c_p1, s1, s2)))),
% 49.14/31.78 inference(monotonicity,[status(thm)],[3219])).
% 49.14/31.78 tff(3221,plain,
% 49.14/31.78 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s1, s2) | (~m_processor_v_master(c_p1, s1)) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s1)) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1) | node34(c_p1, s1, s2))),
% 49.14/31.78 inference(transitivity,[status(thm)],[3220, 3218])).
% 49.14/31.78 tff(3222,plain,
% 49.14/31.78 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s1, s2) | (~m_processor_v_master(c_p1, s1)) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1))),
% 49.14/31.78 inference(quant_inst,[status(thm)],[])).
% 49.14/31.78 tff(3223,plain,
% 49.14/31.78 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s1)) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1) | node34(c_p1, s1, s2)),
% 49.14/31.78 inference(modus_ponens,[status(thm)],[3222, 3221])).
% 49.14/31.78 tff(3224,plain,
% 49.14/31.78 ((~m_processor_v_master(c_p1, s1)) | m_processor_v_abort(c_p1, s1) | node34(c_p1, s1, s2)),
% 49.14/31.78 inference(unit_resolution,[status(thm)],[3223, 283, 3141])).
% 49.14/31.78 tff(3225,plain,
% 49.14/31.78 (m_processor_v_abort(c_p1, s1)),
% 49.14/31.78 inference(unit_resolution,[status(thm)],[3224, 3217, 3216])).
% 49.14/31.78 tff(3226,plain,
% 49.14/31.78 ($false),
% 49.14/31.78 inference(unit_resolution,[status(thm)],[3145, 3225, 3128])).
% 49.14/31.78 tff(3227,plain,((~m_processor_v_state(c_p1, s1, c_invalid)) | node34(c_p1, s1, s2) | m_processor_v_state(c_p1, s2, c_invalid) | m_processor_v_state(c_p1, s2, c_shared)), inference(lemma,lemma(discharge,[]))).
% 49.14/31.78 tff(3228,plain,
% 49.14/31.78 (node34(c_p1, s1, s2)),
% 49.14/31.78 inference(unit_resolution,[status(thm)],[3227, 3110, 3104, 2781])).
% 49.14/31.78 tff(3229,assumption,(m_processor_v_CMD(c_p1, s1, c_read_h_shared)), introduced(assumption)).
% 49.14/31.78 tff(3230,assumption,(node34(c_p1, s1, s2)), introduced(assumption)).
% 49.14/31.78 tff(3231,plain,
% 49.14/31.78 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p1, s2, c_shared) | (~node34(c_p1, s1, s2)) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p1, s2, c_shared) | (~node34(c_p1, s1, s2)) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)))),
% 49.14/31.78 inference(rewrite,[status(thm)],[])).
% 49.14/31.78 tff(3232,plain,
% 49.14/31.78 (((~node34(c_p1, s1, s2)) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared))) <=> (m_processor_v_state(c_p1, s2, c_shared) | (~node34(c_p1, s1, s2)) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)))),
% 49.14/31.78 inference(rewrite,[status(thm)],[])).
% 49.14/31.78 tff(3233,plain,
% 49.14/31.78 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s1, s2)) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p1, s2, c_shared) | (~node34(c_p1, s1, s2)) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared))))),
% 49.14/31.78 inference(monotonicity,[status(thm)],[3232])).
% 49.14/31.78 tff(3234,plain,
% 49.14/31.78 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s1, s2)) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p1, s2, c_shared) | (~node34(c_p1, s1, s2)) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)))),
% 49.14/31.78 inference(transitivity,[status(thm)],[3233, 3231])).
% 49.14/31.78 tff(3235,plain,
% 49.14/31.78 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s1, s2)) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)))),
% 49.14/31.78 inference(quant_inst,[status(thm)],[])).
% 49.14/31.78 tff(3236,plain,
% 49.14/31.78 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p1, s2, c_shared) | (~node34(c_p1, s1, s2)) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared))),
% 49.14/31.78 inference(modus_ponens,[status(thm)],[3235, 3234])).
% 49.14/31.78 tff(3237,plain,
% 49.14/31.78 ($false),
% 49.14/31.78 inference(unit_resolution,[status(thm)],[3236, 416, 3110, 3230, 3229])).
% 49.14/31.78 tff(3238,plain,((~m_processor_v_CMD(c_p1, s1, c_read_h_shared)) | m_processor_v_state(c_p1, s2, c_shared) | (~node34(c_p1, s1, s2))), inference(lemma,lemma(discharge,[]))).
% 49.14/31.78 tff(3239,plain,
% 49.14/31.78 (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)),
% 49.14/31.78 inference(unit_resolution,[status(thm)],[3238, 3228, 3110])).
% 49.14/31.78 tff(3240,assumption,(m_main_v_CMD(s1, c_read_h_shared)), introduced(assumption)).
% 49.14/31.78 tff(3241,assumption,(~m_processor_v_CMD(c_p1, s1, c_read_h_shared)), introduced(assumption)).
% 49.14/31.78 tff(3242,assumption,(~node3(s1)), introduced(assumption)).
% 49.14/31.78 tff(3243,plain,
% 49.14/31.78 ((~![X: $i] : node3(X)) | node3(s1)),
% 49.14/31.78 inference(quant_inst,[status(thm)],[])).
% 49.14/31.78 tff(3244,plain,
% 49.14/31.78 ($false),
% 49.14/31.78 inference(unit_resolution,[status(thm)],[3243, 1247, 3242])).
% 49.14/31.78 tff(3245,plain,(node3(s1)), inference(lemma,lemma(discharge,[]))).
% 49.14/31.78 tff(3246,plain,
% 49.14/31.78 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~m_main_v_CMD(s1, c_read_h_shared)) | (~node3(s1)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~m_main_v_CMD(s1, c_read_h_shared)) | (~node3(s1)))),
% 49.14/31.78 inference(rewrite,[status(thm)],[])).
% 49.14/31.78 tff(3247,plain,
% 49.14/31.78 (((~m_main_v_CMD(s1, c_read_h_shared)) | (~node3(s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared)) <=> (m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~m_main_v_CMD(s1, c_read_h_shared)) | (~node3(s1)))),
% 49.14/31.78 inference(rewrite,[status(thm)],[])).
% 49.14/31.78 tff(3248,plain,
% 49.14/31.78 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_read_h_shared)) | (~node3(s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~m_main_v_CMD(s1, c_read_h_shared)) | (~node3(s1))))),
% 49.14/31.78 inference(monotonicity,[status(thm)],[3247])).
% 49.14/31.78 tff(3249,plain,
% 49.14/31.78 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_read_h_shared)) | (~node3(s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~m_main_v_CMD(s1, c_read_h_shared)) | (~node3(s1)))),
% 49.14/31.78 inference(transitivity,[status(thm)],[3248, 3246])).
% 49.14/31.78 tff(3250,plain,
% 49.14/31.78 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_read_h_shared)) | (~node3(s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared))),
% 49.14/31.78 inference(quant_inst,[status(thm)],[])).
% 49.14/31.78 tff(3251,plain,
% 49.14/31.78 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~m_main_v_CMD(s1, c_read_h_shared)) | (~node3(s1))),
% 49.14/31.78 inference(modus_ponens,[status(thm)],[3250, 3249])).
% 49.14/31.78 tff(3252,plain,
% 49.14/31.78 ($false),
% 49.14/31.78 inference(unit_resolution,[status(thm)],[3251, 1945, 3245, 3241, 3240])).
% 49.14/31.78 tff(3253,plain,((~m_main_v_CMD(s1, c_read_h_shared)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.14/31.78 tff(3254,plain,
% 49.14/31.78 (~m_main_v_CMD(s1, c_read_h_shared)),
% 49.14/31.78 inference(unit_resolution,[status(thm)],[3253, 3239])).
% 49.14/31.78 tff(3255,plain,
% 49.14/31.78 (((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | ((~m_processor_v_master(c_p0, s1)) | (~m_processor_v_master(c_p1, s1)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | (~m_processor_v_master(c_p0, s1)) | (~m_processor_v_master(c_p1, s1)))),
% 49.14/31.78 inference(rewrite,[status(thm)],[])).
% 49.14/31.78 tff(3256,plain,
% 49.14/31.78 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | ((~m_processor_v_master(c_p0, s1)) | (~m_processor_v_master(c_p1, s1)))),
% 49.14/31.78 inference(quant_inst,[status(thm)],[])).
% 49.14/31.78 tff(3257,plain,
% 49.14/31.78 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | (~m_processor_v_master(c_p0, s1)) | (~m_processor_v_master(c_p1, s1))),
% 49.14/31.78 inference(modus_ponens,[status(thm)],[3256, 3255])).
% 49.14/31.78 tff(3258,plain,
% 49.14/31.78 (~m_processor_v_master(c_p0, s1)),
% 49.14/31.78 inference(unit_resolution,[status(thm)],[3257, 794, 3181])).
% 49.14/31.78 tff(3259,assumption,(~m_processor_v_master(c_p0, s1)), introduced(assumption)).
% 49.14/31.78 tff(3260,assumption,(~m_processor_v_cmd(c_p0, s1, c_idle)), introduced(assumption)).
% 49.14/31.78 tff(3261,plain,
% 49.14/31.78 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p0, s1) | (~node66(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p0, s1) | (~node66(c_p0, s1)))),
% 49.14/31.78 inference(rewrite,[status(thm)],[])).
% 49.14/31.78 tff(3262,plain,
% 49.14/31.78 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p0, s1) | (~node66(c_p0, s1)))),
% 49.14/31.78 inference(quant_inst,[status(thm)],[])).
% 49.14/31.78 tff(3263,plain,
% 49.14/31.78 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p0, s1) | (~node66(c_p0, s1))),
% 49.14/31.78 inference(modus_ponens,[status(thm)],[3262, 3261])).
% 49.14/31.78 tff(3264,plain,
% 49.14/31.78 (~node66(c_p0, s1)),
% 49.14/31.78 inference(unit_resolution,[status(thm)],[3263, 1446, 3259])).
% 49.14/31.78 tff(3265,assumption,(node63(c_p0, s1)), introduced(assumption)).
% 49.14/31.78 tff(3266,plain,
% 49.14/31.78 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p0, s1) | (~node63(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p0, s1) | (~node63(c_p0, s1)))),
% 49.14/31.78 inference(rewrite,[status(thm)],[])).
% 49.14/31.78 tff(3267,plain,
% 49.14/31.78 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p0, s1) | (~node63(c_p0, s1)))),
% 49.14/31.78 inference(quant_inst,[status(thm)],[])).
% 49.14/31.78 tff(3268,plain,
% 49.14/31.78 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p0, s1) | (~node63(c_p0, s1))),
% 49.14/31.78 inference(modus_ponens,[status(thm)],[3267, 3266])).
% 49.14/31.79 tff(3269,plain,
% 49.14/31.79 ($false),
% 49.14/31.79 inference(unit_resolution,[status(thm)],[3268, 1469, 3259, 3265])).
% 49.14/31.79 tff(3270,plain,((~node63(c_p0, s1)) | m_processor_v_master(c_p0, s1)), inference(lemma,lemma(discharge,[]))).
% 49.14/31.79 tff(3271,plain,
% 49.14/31.79 (~node63(c_p0, s1)),
% 49.14/31.79 inference(unit_resolution,[status(thm)],[3270, 3259])).
% 49.14/31.79 tff(3272,plain,
% 49.14/31.79 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p0, s1) | (~node65(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p0, s1) | (~node65(c_p0, s1)))),
% 49.14/31.79 inference(rewrite,[status(thm)],[])).
% 49.14/31.79 tff(3273,plain,
% 49.14/31.79 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p0, s1) | (~node65(c_p0, s1)))),
% 49.14/31.79 inference(quant_inst,[status(thm)],[])).
% 49.14/31.79 tff(3274,plain,
% 49.14/31.79 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p0, s1) | (~node65(c_p0, s1))),
% 49.14/31.79 inference(modus_ponens,[status(thm)],[3273, 3272])).
% 49.14/31.79 tff(3275,plain,
% 49.14/31.79 (~node65(c_p0, s1)),
% 49.14/31.79 inference(unit_resolution,[status(thm)],[3274, 1457, 3259])).
% 49.14/31.79 tff(3276,plain,
% 49.14/31.79 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p0, s1) | (~node64(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p0, s1) | (~node64(c_p0, s1)))),
% 49.14/31.79 inference(rewrite,[status(thm)],[])).
% 49.14/31.79 tff(3277,plain,
% 49.14/31.79 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p0, s1) | (~node64(c_p0, s1)))),
% 49.14/31.79 inference(quant_inst,[status(thm)],[])).
% 49.14/31.79 tff(3278,plain,
% 49.14/31.79 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p0, s1) | (~node64(c_p0, s1))),
% 49.14/31.79 inference(modus_ponens,[status(thm)],[3277, 3276])).
% 49.14/31.79 tff(3279,plain,
% 49.14/31.79 (~node64(c_p0, s1)),
% 49.14/31.79 inference(unit_resolution,[status(thm)],[3278, 1482, 3259])).
% 49.14/31.79 tff(3280,assumption,(~node66(c_p0, s1)), introduced(assumption)).
% 49.18/31.79 tff(3281,assumption,(~node65(c_p0, s1)), introduced(assumption)).
% 49.18/31.79 tff(3282,assumption,(~node64(c_p0, s1)), introduced(assumption)).
% 49.18/31.79 tff(3283,assumption,(~node63(c_p0, s1)), introduced(assumption)).
% 49.18/31.79 tff(3284,plain,
% 49.18/31.79 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p0, s1) | (~node62(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p0, s1) | (~node62(c_p0, s1)))),
% 49.18/31.79 inference(rewrite,[status(thm)],[])).
% 49.18/31.79 tff(3285,plain,
% 49.18/31.79 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p0, s1) | (~node62(c_p0, s1)))),
% 49.18/31.79 inference(quant_inst,[status(thm)],[])).
% 49.18/31.79 tff(3286,plain,
% 49.18/31.79 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p0, s1) | (~node62(c_p0, s1))),
% 49.18/31.79 inference(modus_ponens,[status(thm)],[3285, 3284])).
% 49.18/31.79 tff(3287,plain,
% 49.18/31.79 (~node62(c_p0, s1)),
% 49.18/31.79 inference(unit_resolution,[status(thm)],[3286, 1493, 3259])).
% 49.18/31.79 tff(3288,plain,
% 49.18/31.79 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_idle) | node66(c_p0, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_idle) | node66(c_p0, s1))),
% 49.18/31.79 inference(rewrite,[status(thm)],[])).
% 49.18/31.79 tff(3289,plain,
% 49.18/31.79 ((m_processor_v_cmd(c_p0, s1, c_idle) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1) | node66(c_p0, s1)) <=> (node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_idle) | node66(c_p0, s1))),
% 49.18/31.79 inference(rewrite,[status(thm)],[])).
% 49.18/31.79 tff(3290,plain,
% 49.18/31.79 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s1, c_idle) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1) | node66(c_p0, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_idle) | node66(c_p0, s1)))),
% 49.18/31.79 inference(monotonicity,[status(thm)],[3289])).
% 49.18/31.79 tff(3291,plain,
% 49.18/31.79 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s1, c_idle) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1) | node66(c_p0, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_idle) | node66(c_p0, s1))),
% 49.18/31.79 inference(transitivity,[status(thm)],[3290, 3288])).
% 49.18/31.79 tff(3292,plain,
% 49.18/31.79 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s1, c_idle) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1) | node66(c_p0, s1))),
% 49.18/31.79 inference(quant_inst,[status(thm)],[])).
% 49.18/31.79 tff(3293,plain,
% 49.18/31.79 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_idle) | node66(c_p0, s1)),
% 49.18/31.79 inference(modus_ponens,[status(thm)],[3292, 3291])).
% 49.18/31.79 tff(3294,plain,
% 49.18/31.79 (node62(c_p0, s1) | node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1) | node66(c_p0, s1)),
% 49.18/31.79 inference(unit_resolution,[status(thm)],[3293, 1508, 3260])).
% 49.18/31.79 tff(3295,plain,
% 49.18/31.79 ($false),
% 49.18/31.79 inference(unit_resolution,[status(thm)],[3294, 3287, 3283, 3282, 3281, 3280])).
% 49.18/31.79 tff(3296,plain,(node63(c_p0, s1) | node64(c_p0, s1) | node65(c_p0, s1) | node66(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_idle) | m_processor_v_master(c_p0, s1)), inference(lemma,lemma(discharge,[]))).
% 49.18/31.79 tff(3297,plain,
% 49.18/31.79 ($false),
% 49.18/31.79 inference(unit_resolution,[status(thm)],[3296, 3279, 3275, 3271, 3264, 3260, 3259])).
% 49.18/31.79 tff(3298,plain,(m_processor_v_master(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.18/31.79 tff(3299,plain,
% 49.18/31.79 (m_processor_v_cmd(c_p0, s1, c_idle)),
% 49.18/31.79 inference(unit_resolution,[status(thm)],[3298, 3258])).
% 49.18/31.79 tff(3300,assumption,(~m_main_v_CMD(s1, c_read_h_shared)), introduced(assumption)).
% 49.18/31.79 tff(3301,assumption,(~m_processor_v_cmd(c_p1, s1, c_idle)), introduced(assumption)).
% 49.18/31.79 tff(3302,plain,
% 49.18/31.79 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p1, s1) | (~node63(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p1, s1) | (~node63(c_p1, s1)))),
% 49.18/31.79 inference(rewrite,[status(thm)],[])).
% 49.18/31.79 tff(3303,plain,
% 49.18/31.79 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p1, s1) | (~node63(c_p1, s1)))),
% 49.18/31.79 inference(quant_inst,[status(thm)],[])).
% 49.18/31.79 tff(3304,plain,
% 49.18/31.79 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p1, s1) | (~node63(c_p1, s1))),
% 49.18/31.79 inference(modus_ponens,[status(thm)],[3303, 3302])).
% 49.18/31.79 tff(3305,plain,
% 49.18/31.79 (~node63(c_p1, s1)),
% 49.18/31.79 inference(unit_resolution,[status(thm)],[3304, 1469, 3111])).
% 49.18/31.79 tff(3306,plain,
% 49.18/31.79 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p1, s1) | (~node66(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p1, s1) | (~node66(c_p1, s1)))),
% 49.18/31.79 inference(rewrite,[status(thm)],[])).
% 49.18/31.79 tff(3307,plain,
% 49.18/31.79 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p1, s1) | (~node66(c_p1, s1)))),
% 49.18/31.79 inference(quant_inst,[status(thm)],[])).
% 49.18/31.79 tff(3308,plain,
% 49.18/31.79 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p1, s1) | (~node66(c_p1, s1))),
% 49.18/31.79 inference(modus_ponens,[status(thm)],[3307, 3306])).
% 49.18/31.79 tff(3309,plain,
% 49.18/31.79 (~node66(c_p1, s1)),
% 49.18/31.79 inference(unit_resolution,[status(thm)],[3308, 1446, 3111])).
% 49.18/31.79 tff(3310,plain,
% 49.18/31.79 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p1, s1) | (~node62(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p1, s1) | (~node62(c_p1, s1)))),
% 49.18/31.79 inference(rewrite,[status(thm)],[])).
% 49.18/31.79 tff(3311,plain,
% 49.18/31.79 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p1, s1) | (~node62(c_p1, s1)))),
% 49.18/31.79 inference(quant_inst,[status(thm)],[])).
% 49.18/31.79 tff(3312,plain,
% 49.18/31.79 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p1, s1) | (~node62(c_p1, s1))),
% 49.18/31.79 inference(modus_ponens,[status(thm)],[3311, 3310])).
% 49.18/31.79 tff(3313,plain,
% 49.18/31.79 (~node62(c_p1, s1)),
% 49.18/31.79 inference(unit_resolution,[status(thm)],[3312, 1493, 3111])).
% 49.18/31.79 tff(3314,assumption,(~node66(c_p1, s1)), introduced(assumption)).
% 49.18/31.79 tff(3315,plain,
% 49.18/31.79 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p1, s1) | (~node65(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p1, s1) | (~node65(c_p1, s1)))),
% 49.18/31.79 inference(rewrite,[status(thm)],[])).
% 49.18/31.79 tff(3316,plain,
% 49.18/31.79 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p1, s1) | (~node65(c_p1, s1)))),
% 49.18/31.79 inference(quant_inst,[status(thm)],[])).
% 49.18/31.79 tff(3317,plain,
% 49.18/31.79 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p1, s1) | (~node65(c_p1, s1))),
% 49.18/31.79 inference(modus_ponens,[status(thm)],[3316, 3315])).
% 49.18/31.79 tff(3318,plain,
% 49.18/31.79 (~node65(c_p1, s1)),
% 49.18/31.79 inference(unit_resolution,[status(thm)],[3317, 1457, 3111])).
% 49.18/31.79 tff(3319,plain,
% 49.18/31.79 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p1, s1) | (~node64(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p1, s1) | (~node64(c_p1, s1)))),
% 49.18/31.79 inference(rewrite,[status(thm)],[])).
% 49.18/31.79 tff(3320,plain,
% 49.18/31.79 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p1, s1) | (~node64(c_p1, s1)))),
% 49.18/31.79 inference(quant_inst,[status(thm)],[])).
% 49.18/31.79 tff(3321,plain,
% 49.18/31.79 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p1, s1) | (~node64(c_p1, s1))),
% 49.18/31.79 inference(modus_ponens,[status(thm)],[3320, 3319])).
% 49.18/31.79 tff(3322,plain,
% 49.18/31.79 (~node64(c_p1, s1)),
% 49.18/31.79 inference(unit_resolution,[status(thm)],[3321, 1482, 3111])).
% 49.18/31.79 tff(3323,assumption,(~node63(c_p1, s1)), introduced(assumption)).
% 49.18/31.79 tff(3324,assumption,(~node62(c_p1, s1)), introduced(assumption)).
% 49.18/31.79 tff(3325,plain,
% 49.18/31.79 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | node65(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_idle) | node66(c_p1, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | node65(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_idle) | node66(c_p1, s1))),
% 49.18/31.79 inference(rewrite,[status(thm)],[])).
% 49.18/31.79 tff(3326,plain,
% 49.18/31.79 ((m_processor_v_cmd(c_p1, s1, c_idle) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | node65(c_p1, s1) | node66(c_p1, s1)) <=> (node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | node65(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_idle) | node66(c_p1, s1))),
% 49.18/31.79 inference(rewrite,[status(thm)],[])).
% 49.18/31.79 tff(3327,plain,
% 49.18/31.79 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s1, c_idle) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | node65(c_p1, s1) | node66(c_p1, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | node65(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_idle) | node66(c_p1, s1)))),
% 49.18/31.79 inference(monotonicity,[status(thm)],[3326])).
% 49.18/31.79 tff(3328,plain,
% 49.18/31.79 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s1, c_idle) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | node65(c_p1, s1) | node66(c_p1, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | node65(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_idle) | node66(c_p1, s1))),
% 49.18/31.79 inference(transitivity,[status(thm)],[3327, 3325])).
% 49.18/31.79 tff(3329,plain,
% 49.18/31.79 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s1, c_idle) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | node65(c_p1, s1) | node66(c_p1, s1))),
% 49.18/31.79 inference(quant_inst,[status(thm)],[])).
% 49.18/31.79 tff(3330,plain,
% 49.18/31.79 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p1, s1) | node63(c_p1, s1) | node64(c_p1, s1) | node65(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_idle) | node66(c_p1, s1)),
% 49.18/31.79 inference(modus_ponens,[status(thm)],[3329, 3328])).
% 49.18/31.79 tff(3331,plain,
% 49.18/31.79 (node64(c_p1, s1) | node65(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_idle) | node66(c_p1, s1)),
% 49.18/31.79 inference(unit_resolution,[status(thm)],[3330, 1508, 3324, 3323])).
% 49.18/31.79 tff(3332,plain,
% 49.18/31.79 ($false),
% 49.18/31.79 inference(unit_resolution,[status(thm)],[3331, 3322, 3318, 3301, 3314])).
% 49.18/31.79 tff(3333,plain,(m_processor_v_master(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_idle) | node66(c_p1, s1) | node62(c_p1, s1) | node63(c_p1, s1)), inference(lemma,lemma(discharge,[]))).
% 49.18/31.79 tff(3334,plain,
% 49.18/31.79 ($false),
% 49.18/31.79 inference(unit_resolution,[status(thm)],[3333, 3313, 3309, 3301, 3111, 3305])).
% 49.18/31.79 tff(3335,plain,(m_processor_v_master(c_p1, s1) | m_processor_v_cmd(c_p1, s1, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.18/31.79 tff(3336,plain,
% 49.18/31.79 (m_processor_v_master(c_p1, s1)),
% 49.18/31.79 inference(unit_resolution,[status(thm)],[3335, 3301])).
% 49.18/31.79 tff(3337,assumption,(node17(s1)), introduced(assumption)).
% 49.18/31.79 tff(3338,plain,
% 49.18/31.79 (^[X: $i] : refl(((~m_processor_v_master(c_p1, X)) | (~node17(X))) <=> ((~m_processor_v_master(c_p1, X)) | (~node17(X))))),
% 49.18/31.79 inference(bind,[status(th)],[])).
% 49.18/31.79 tff(3339,plain,
% 49.18/31.79 (![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X))) <=> ![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))),
% 49.18/31.79 inference(quant_intro,[status(thm)],[3338])).
% 49.18/31.79 tff(3340,plain,
% 49.18/31.79 (![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X))) <=> ![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))),
% 49.18/31.79 inference(rewrite,[status(thm)],[])).
% 49.18/31.79 tff(3341,axiom,(![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_123')).
% 49.18/31.79 tff(3342,plain,
% 49.18/31.79 (![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))),
% 49.18/31.79 inference(modus_ponens,[status(thm)],[3341, 3340])).
% 49.18/31.79 tff(3343,plain,(
% 49.18/31.79 ![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))),
% 49.18/31.79 inference(skolemize,[status(sab)],[3342])).
% 49.18/31.79 tff(3344,plain,
% 49.18/31.79 (![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))),
% 49.18/31.79 inference(modus_ponens,[status(thm)],[3343, 3339])).
% 49.18/31.79 tff(3345,plain,
% 49.18/31.79 (((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p1, s1)) | (~node17(s1)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | (~m_processor_v_master(c_p1, s1)) | (~node17(s1)))),
% 49.18/31.79 inference(rewrite,[status(thm)],[])).
% 49.18/31.79 tff(3346,plain,
% 49.18/31.79 ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p1, s1)) | (~node17(s1)))),
% 49.18/31.79 inference(quant_inst,[status(thm)],[])).
% 49.18/31.79 tff(3347,plain,
% 49.18/31.79 ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | (~m_processor_v_master(c_p1, s1)) | (~node17(s1))),
% 49.18/31.79 inference(modus_ponens,[status(thm)],[3346, 3345])).
% 49.18/31.79 tff(3348,plain,
% 49.18/31.79 ($false),
% 49.18/31.79 inference(unit_resolution,[status(thm)],[3347, 3344, 3205, 3337])).
% 49.18/31.79 tff(3349,plain,((~m_processor_v_master(c_p1, s1)) | (~node17(s1))), inference(lemma,lemma(discharge,[]))).
% 49.18/31.79 tff(3350,plain,
% 49.18/31.79 (~node17(s1)),
% 49.18/31.79 inference(unit_resolution,[status(thm)],[3349, 3336])).
% 49.18/31.79 tff(3351,assumption,(~node17(s1)), introduced(assumption)).
% 49.18/31.79 tff(3352,assumption,(m_memory_v_master(c_m, s1)), introduced(assumption)).
% 49.18/31.79 tff(3353,plain,
% 49.18/31.79 (((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | (node17(s1) | (~m_memory_v_master(c_m, s1)))) <=> ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | node17(s1) | (~m_memory_v_master(c_m, s1)))),
% 49.18/31.79 inference(rewrite,[status(thm)],[])).
% 49.18/31.79 tff(3354,plain,
% 49.18/31.79 ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | (node17(s1) | (~m_memory_v_master(c_m, s1)))),
% 49.18/31.79 inference(quant_inst,[status(thm)],[])).
% 49.18/31.79 tff(3355,plain,
% 49.18/31.79 ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | node17(s1) | (~m_memory_v_master(c_m, s1))),
% 49.18/31.79 inference(modus_ponens,[status(thm)],[3354, 3353])).
% 49.18/31.79 tff(3356,plain,
% 49.18/31.79 ($false),
% 49.18/31.79 inference(unit_resolution,[status(thm)],[3355, 1290, 3352, 3351])).
% 49.18/31.79 tff(3357,plain,(node17(s1) | (~m_memory_v_master(c_m, s1))), inference(lemma,lemma(discharge,[]))).
% 49.18/31.79 tff(3358,plain,
% 49.18/31.79 (~m_memory_v_master(c_m, s1)),
% 49.18/31.79 inference(unit_resolution,[status(thm)],[3357, 3350])).
% 49.18/31.79 tff(3359,assumption,(~m_memory_v_master(c_m, s1)), introduced(assumption)).
% 49.18/31.79 tff(3360,assumption,(node29(c_m, s1)), introduced(assumption)).
% 49.18/31.79 tff(3361,plain,
% 49.18/31.79 (((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | (m_memory_v_master(c_m, s1) | (~node29(c_m, s1)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | m_memory_v_master(c_m, s1) | (~node29(c_m, s1)))),
% 49.18/31.79 inference(rewrite,[status(thm)],[])).
% 49.18/31.79 tff(3362,plain,
% 49.18/31.79 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | (m_memory_v_master(c_m, s1) | (~node29(c_m, s1)))),
% 49.18/31.79 inference(quant_inst,[status(thm)],[])).
% 49.18/31.79 tff(3363,plain,
% 49.18/31.79 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | m_memory_v_master(c_m, s1) | (~node29(c_m, s1))),
% 49.18/31.79 inference(modus_ponens,[status(thm)],[3362, 3361])).
% 49.18/31.79 tff(3364,plain,
% 49.18/31.79 ($false),
% 49.18/31.79 inference(unit_resolution,[status(thm)],[3363, 1305, 3360, 3359])).
% 49.18/31.79 tff(3365,plain,(m_memory_v_master(c_m, s1) | (~node29(c_m, s1))), inference(lemma,lemma(discharge,[]))).
% 49.18/31.79 tff(3366,plain,
% 49.18/31.79 (~node29(c_m, s1)),
% 49.18/31.79 inference(unit_resolution,[status(thm)],[3365, 3358])).
% 49.18/31.79 tff(3367,assumption,(~node29(c_m, s1)), introduced(assumption)).
% 49.18/31.79 tff(3368,assumption,(~m_memory_v_cmd(c_m, s1, c_idle)), introduced(assumption)).
% 49.18/31.79 tff(3369,plain,
% 49.18/31.79 (((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | (node29(c_m, s1) | m_memory_v_cmd(c_m, s1, c_idle))) <=> ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | node29(c_m, s1) | m_memory_v_cmd(c_m, s1, c_idle))),
% 49.18/31.79 inference(rewrite,[status(thm)],[])).
% 49.18/31.79 tff(3370,plain,
% 49.18/31.79 ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | (node29(c_m, s1) | m_memory_v_cmd(c_m, s1, c_idle))),
% 49.18/31.79 inference(quant_inst,[status(thm)],[])).
% 49.18/31.79 tff(3371,plain,
% 49.18/31.79 ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | node29(c_m, s1) | m_memory_v_cmd(c_m, s1, c_idle)),
% 49.18/31.79 inference(modus_ponens,[status(thm)],[3370, 3369])).
% 49.18/31.79 tff(3372,plain,
% 49.18/31.79 ($false),
% 49.18/31.79 inference(unit_resolution,[status(thm)],[3371, 1320, 3368, 3367])).
% 49.18/31.79 tff(3373,plain,(m_memory_v_cmd(c_m, s1, c_idle) | node29(c_m, s1)), inference(lemma,lemma(discharge,[]))).
% 49.18/31.79 tff(3374,plain,
% 49.18/31.79 (m_memory_v_cmd(c_m, s1, c_idle)),
% 49.18/31.79 inference(unit_resolution,[status(thm)],[3373, 3366])).
% 49.18/31.79 tff(3375,assumption,(m_processor_v_cmd(c_p0, s1, c_idle)), introduced(assumption)).
% 49.18/31.79 tff(3376,assumption,(~m_main_v_CMD(s1, c_read_h_owned)), introduced(assumption)).
% 49.18/31.79 tff(3377,plain,
% 49.18/31.79 (^[X: $i] : refl(((~node16(X)) | (~m_processor_v_master(c_p1, X))) <=> ((~node16(X)) | (~m_processor_v_master(c_p1, X))))),
% 49.18/31.79 inference(bind,[status(th)],[])).
% 49.18/31.79 tff(3378,plain,
% 49.18/31.79 (![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X))) <=> ![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))),
% 49.18/31.79 inference(quant_intro,[status(thm)],[3377])).
% 49.18/31.79 tff(3379,plain,
% 49.18/31.79 (![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X))) <=> ![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))),
% 49.18/31.79 inference(rewrite,[status(thm)],[])).
% 49.18/31.79 tff(3380,plain,
% 49.18/31.79 (^[X: $i] : rewrite(((~m_processor_v_master(c_p1, X)) | (~node16(X))) <=> ((~node16(X)) | (~m_processor_v_master(c_p1, X))))),
% 49.18/31.79 inference(bind,[status(th)],[])).
% 49.18/31.79 tff(3381,plain,
% 49.18/31.79 (![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node16(X))) <=> ![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))),
% 49.18/31.79 inference(quant_intro,[status(thm)],[3380])).
% 49.18/31.79 tff(3382,axiom,(![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node16(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_119')).
% 49.18/31.79 tff(3383,plain,
% 49.18/31.79 (![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))),
% 49.18/31.79 inference(modus_ponens,[status(thm)],[3382, 3381])).
% 49.18/31.79 tff(3384,plain,
% 49.18/31.79 (![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))),
% 49.18/31.79 inference(modus_ponens,[status(thm)],[3383, 3379])).
% 49.18/31.79 tff(3385,plain,(
% 49.18/31.79 ![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))),
% 49.18/31.79 inference(skolemize,[status(sab)],[3384])).
% 49.18/31.79 tff(3386,plain,
% 49.18/31.79 (![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))),
% 49.18/31.79 inference(modus_ponens,[status(thm)],[3385, 3378])).
% 49.18/31.79 tff(3387,plain,
% 49.18/31.79 (((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | ((~node16(s1)) | (~m_processor_v_master(c_p1, s1)))) <=> ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | (~node16(s1)) | (~m_processor_v_master(c_p1, s1)))),
% 49.18/31.79 inference(rewrite,[status(thm)],[])).
% 49.18/31.79 tff(3388,plain,
% 49.18/31.79 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | ((~node16(s1)) | (~m_processor_v_master(c_p1, s1)))),
% 49.18/31.79 inference(quant_inst,[status(thm)],[])).
% 49.18/31.79 tff(3389,plain,
% 49.18/31.79 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | (~node16(s1)) | (~m_processor_v_master(c_p1, s1))),
% 49.18/31.79 inference(modus_ponens,[status(thm)],[3388, 3387])).
% 49.18/31.79 tff(3390,plain,
% 49.18/31.79 (~node16(s1)),
% 49.18/31.79 inference(unit_resolution,[status(thm)],[3389, 3386, 3205])).
% 49.18/31.79 tff(3391,plain,
% 49.18/31.79 (((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | (node16(s1) | (~m_processor_v_master(c_p2, s1)))) <=> ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | node16(s1) | (~m_processor_v_master(c_p2, s1)))),
% 49.18/31.79 inference(rewrite,[status(thm)],[])).
% 49.18/31.79 tff(3392,plain,
% 49.18/31.79 ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | (node16(s1) | (~m_processor_v_master(c_p2, s1)))),
% 49.18/31.79 inference(quant_inst,[status(thm)],[])).
% 49.18/31.79 tff(3393,plain,
% 49.18/31.79 ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | node16(s1) | (~m_processor_v_master(c_p2, s1))),
% 49.18/31.79 inference(modus_ponens,[status(thm)],[3392, 3391])).
% 49.18/31.79 tff(3394,plain,
% 49.18/31.79 (~m_processor_v_master(c_p2, s1)),
% 49.18/31.79 inference(unit_resolution,[status(thm)],[3393, 1545, 3390])).
% 49.18/31.79 tff(3395,plain,
% 49.18/31.79 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p2, s1) | (~node64(c_p2, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p2, s1) | (~node64(c_p2, s1)))),
% 49.18/31.79 inference(rewrite,[status(thm)],[])).
% 49.18/31.79 tff(3396,plain,
% 49.18/31.79 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p2, s1) | (~node64(c_p2, s1)))),
% 49.18/31.79 inference(quant_inst,[status(thm)],[])).
% 49.18/31.79 tff(3397,plain,
% 49.18/31.79 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p2, s1) | (~node64(c_p2, s1))),
% 49.18/31.79 inference(modus_ponens,[status(thm)],[3396, 3395])).
% 49.18/31.79 tff(3398,plain,
% 49.18/31.79 (~node64(c_p2, s1)),
% 49.18/31.79 inference(unit_resolution,[status(thm)],[3397, 1482, 3394])).
% 49.18/31.79 tff(3399,assumption,(~m_processor_v_master(c_p2, s1)), introduced(assumption)).
% 49.18/31.79 tff(3400,assumption,(node63(c_p2, s1)), introduced(assumption)).
% 49.18/31.79 tff(3401,plain,
% 49.18/31.79 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p2, s1) | (~node63(c_p2, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p2, s1) | (~node63(c_p2, s1)))),
% 49.18/31.79 inference(rewrite,[status(thm)],[])).
% 49.18/31.79 tff(3402,plain,
% 49.18/31.79 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p2, s1) | (~node63(c_p2, s1)))),
% 49.18/31.79 inference(quant_inst,[status(thm)],[])).
% 49.18/31.79 tff(3403,plain,
% 49.18/31.79 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p2, s1) | (~node63(c_p2, s1))),
% 49.18/31.79 inference(modus_ponens,[status(thm)],[3402, 3401])).
% 49.18/31.79 tff(3404,plain,
% 49.18/31.79 ($false),
% 49.18/31.79 inference(unit_resolution,[status(thm)],[3403, 1469, 3400, 3399])).
% 49.18/31.79 tff(3405,plain,((~node63(c_p2, s1)) | m_processor_v_master(c_p2, s1)), inference(lemma,lemma(discharge,[]))).
% 49.18/31.79 tff(3406,plain,
% 49.18/31.79 (~node63(c_p2, s1)),
% 49.18/31.79 inference(unit_resolution,[status(thm)],[3405, 3399])).
% 49.18/31.79 tff(3407,assumption,(node65(c_p2, s1)), introduced(assumption)).
% 49.18/31.79 tff(3408,plain,
% 49.18/31.79 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p2, s1) | (~node65(c_p2, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p2, s1) | (~node65(c_p2, s1)))),
% 49.18/31.79 inference(rewrite,[status(thm)],[])).
% 49.18/31.79 tff(3409,plain,
% 49.18/31.79 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p2, s1) | (~node65(c_p2, s1)))),
% 49.18/31.80 inference(quant_inst,[status(thm)],[])).
% 49.18/31.80 tff(3410,plain,
% 49.18/31.80 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p2, s1) | (~node65(c_p2, s1))),
% 49.18/31.80 inference(modus_ponens,[status(thm)],[3409, 3408])).
% 49.18/31.80 tff(3411,plain,
% 49.18/31.80 ($false),
% 49.18/31.80 inference(unit_resolution,[status(thm)],[3410, 1457, 3407, 3399])).
% 49.18/31.80 tff(3412,plain,((~node65(c_p2, s1)) | m_processor_v_master(c_p2, s1)), inference(lemma,lemma(discharge,[]))).
% 49.18/31.80 tff(3413,plain,
% 49.18/31.80 (~node65(c_p2, s1)),
% 49.18/31.80 inference(unit_resolution,[status(thm)],[3412, 3399])).
% 49.18/31.80 tff(3414,assumption,(~node64(c_p2, s1)), introduced(assumption)).
% 49.18/31.80 tff(3415,assumption,(node62(c_p2, s1)), introduced(assumption)).
% 49.18/31.80 tff(3416,plain,
% 49.18/31.80 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p2, s1) | (~node62(c_p2, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p2, s1) | (~node62(c_p2, s1)))),
% 49.18/31.80 inference(rewrite,[status(thm)],[])).
% 49.18/31.80 tff(3417,plain,
% 49.18/31.80 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p2, s1) | (~node62(c_p2, s1)))),
% 49.18/31.80 inference(quant_inst,[status(thm)],[])).
% 49.18/31.80 tff(3418,plain,
% 49.18/31.80 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p2, s1) | (~node62(c_p2, s1))),
% 49.18/31.80 inference(modus_ponens,[status(thm)],[3417, 3416])).
% 49.18/31.80 tff(3419,plain,
% 49.18/31.80 ($false),
% 49.18/31.80 inference(unit_resolution,[status(thm)],[3418, 1493, 3415, 3399])).
% 49.18/31.80 tff(3420,plain,((~node62(c_p2, s1)) | m_processor_v_master(c_p2, s1)), inference(lemma,lemma(discharge,[]))).
% 49.18/31.80 tff(3421,plain,
% 49.18/31.80 (~node62(c_p2, s1)),
% 49.18/31.80 inference(unit_resolution,[status(thm)],[3420, 3399])).
% 49.18/31.80 tff(3422,assumption,(~m_processor_v_cmd(c_p2, s1, c_idle)), introduced(assumption)).
% 49.18/31.80 tff(3423,plain,
% 49.18/31.80 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s1, c_idle) | node66(c_p2, s1) | node65(c_p2, s1) | node64(c_p2, s1) | node63(c_p2, s1) | node62(c_p2, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | m_processor_v_cmd(c_p2, s1, c_idle) | node66(c_p2, s1) | node65(c_p2, s1) | node64(c_p2, s1) | node63(c_p2, s1) | node62(c_p2, s1))),
% 49.18/31.80 inference(rewrite,[status(thm)],[])).
% 49.18/31.80 tff(3424,plain,
% 49.18/31.80 ((m_processor_v_cmd(c_p2, s1, c_idle) | node62(c_p2, s1) | node63(c_p2, s1) | node64(c_p2, s1) | node65(c_p2, s1) | node66(c_p2, s1)) <=> (m_processor_v_cmd(c_p2, s1, c_idle) | node66(c_p2, s1) | node65(c_p2, s1) | node64(c_p2, s1) | node63(c_p2, s1) | node62(c_p2, s1))),
% 49.18/31.80 inference(rewrite,[status(thm)],[])).
% 49.18/31.80 tff(3425,plain,
% 49.18/31.80 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s1, c_idle) | node62(c_p2, s1) | node63(c_p2, s1) | node64(c_p2, s1) | node65(c_p2, s1) | node66(c_p2, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s1, c_idle) | node66(c_p2, s1) | node65(c_p2, s1) | node64(c_p2, s1) | node63(c_p2, s1) | node62(c_p2, s1)))),
% 49.18/31.80 inference(monotonicity,[status(thm)],[3424])).
% 49.18/31.80 tff(3426,plain,
% 49.18/31.80 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s1, c_idle) | node62(c_p2, s1) | node63(c_p2, s1) | node64(c_p2, s1) | node65(c_p2, s1) | node66(c_p2, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | m_processor_v_cmd(c_p2, s1, c_idle) | node66(c_p2, s1) | node65(c_p2, s1) | node64(c_p2, s1) | node63(c_p2, s1) | node62(c_p2, s1))),
% 49.18/31.80 inference(transitivity,[status(thm)],[3425, 3423])).
% 49.18/31.80 tff(3427,plain,
% 49.18/31.80 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s1, c_idle) | node62(c_p2, s1) | node63(c_p2, s1) | node64(c_p2, s1) | node65(c_p2, s1) | node66(c_p2, s1))),
% 49.18/31.80 inference(quant_inst,[status(thm)],[])).
% 49.18/31.80 tff(3428,plain,
% 49.18/31.80 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | m_processor_v_cmd(c_p2, s1, c_idle) | node66(c_p2, s1) | node65(c_p2, s1) | node64(c_p2, s1) | node63(c_p2, s1) | node62(c_p2, s1)),
% 49.18/31.80 inference(modus_ponens,[status(thm)],[3427, 3426])).
% 49.18/31.80 tff(3429,plain,
% 49.18/31.80 (node66(c_p2, s1) | node65(c_p2, s1) | node64(c_p2, s1) | node63(c_p2, s1) | node62(c_p2, s1)),
% 49.18/31.80 inference(unit_resolution,[status(thm)],[3428, 1508, 3422])).
% 49.18/31.80 tff(3430,plain,
% 49.18/31.80 (node66(c_p2, s1)),
% 49.18/31.80 inference(unit_resolution,[status(thm)],[3429, 3421, 3414, 3413, 3406])).
% 49.18/31.80 tff(3431,plain,
% 49.18/31.80 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p2, s1) | (~node66(c_p2, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p2, s1) | (~node66(c_p2, s1)))),
% 49.18/31.80 inference(rewrite,[status(thm)],[])).
% 49.18/31.80 tff(3432,plain,
% 49.18/31.80 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p2, s1) | (~node66(c_p2, s1)))),
% 49.18/31.80 inference(quant_inst,[status(thm)],[])).
% 49.18/31.80 tff(3433,plain,
% 49.18/31.80 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p2, s1) | (~node66(c_p2, s1))),
% 49.18/31.80 inference(modus_ponens,[status(thm)],[3432, 3431])).
% 49.18/31.80 tff(3434,plain,
% 49.18/31.80 ($false),
% 49.18/31.80 inference(unit_resolution,[status(thm)],[3433, 1446, 3430, 3399])).
% 49.18/31.80 tff(3435,plain,(m_processor_v_master(c_p2, s1) | node64(c_p2, s1) | m_processor_v_cmd(c_p2, s1, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.18/31.80 tff(3436,plain,
% 49.18/31.80 (m_processor_v_cmd(c_p2, s1, c_idle)),
% 49.18/31.80 inference(unit_resolution,[status(thm)],[3435, 3398, 3394])).
% 49.18/31.80 tff(3437,plain,
% 49.18/31.80 (^[X: $i] : refl((m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X))) <=> (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X))))),
% 49.18/31.80 inference(bind,[status(th)],[])).
% 49.18/31.80 tff(3438,plain,
% 49.18/31.80 (![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X))) <=> ![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))),
% 49.18/31.80 inference(quant_intro,[status(thm)],[3437])).
% 49.18/31.80 tff(3439,plain,
% 49.18/31.80 (![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X))) <=> ![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))),
% 49.18/31.80 inference(rewrite,[status(thm)],[])).
% 49.18/31.80 tff(3440,axiom,(![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_92')).
% 49.18/31.80 tff(3441,plain,
% 49.18/31.80 (![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))),
% 49.18/31.80 inference(modus_ponens,[status(thm)],[3440, 3439])).
% 49.18/31.80 tff(3442,plain,(
% 49.18/31.80 ![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))),
% 49.18/31.80 inference(skolemize,[status(sab)],[3441])).
% 49.18/31.80 tff(3443,plain,
% 49.18/31.80 (![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))),
% 49.18/31.80 inference(modus_ponens,[status(thm)],[3442, 3438])).
% 49.18/31.80 tff(3444,plain,
% 49.18/31.80 (((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | (m_processor_v_cmd(c_p1, s1, c_idle) | (~node9(s1)))) <=> ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | m_processor_v_cmd(c_p1, s1, c_idle) | (~node9(s1)))),
% 49.18/31.80 inference(rewrite,[status(thm)],[])).
% 49.18/31.80 tff(3445,plain,
% 49.18/31.80 ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | (m_processor_v_cmd(c_p1, s1, c_idle) | (~node9(s1)))),
% 49.18/31.80 inference(quant_inst,[status(thm)],[])).
% 49.18/31.80 tff(3446,plain,
% 49.18/31.80 ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | m_processor_v_cmd(c_p1, s1, c_idle) | (~node9(s1))),
% 49.18/31.80 inference(modus_ponens,[status(thm)],[3445, 3444])).
% 49.18/31.80 tff(3447,plain,
% 49.18/31.80 (~node9(s1)),
% 49.18/31.80 inference(unit_resolution,[status(thm)],[3446, 3443, 3301])).
% 49.18/31.80 tff(3448,plain,
% 49.18/31.80 (~node17(s1)),
% 49.18/31.80 inference(unit_resolution,[status(thm)],[3349, 3205])).
% 49.18/31.80 tff(3449,plain,
% 49.18/31.80 (~m_memory_v_master(c_m, s1)),
% 49.18/31.80 inference(unit_resolution,[status(thm)],[3357, 3448])).
% 49.18/31.80 tff(3450,plain,
% 49.18/31.80 (~node29(c_m, s1)),
% 49.18/31.80 inference(unit_resolution,[status(thm)],[3365, 3449])).
% 49.18/31.80 tff(3451,plain,
% 49.18/31.80 (m_memory_v_cmd(c_m, s1, c_idle)),
% 49.18/31.80 inference(unit_resolution,[status(thm)],[3373, 3450])).
% 49.18/31.80 tff(3452,plain,
% 49.18/31.80 (^[X: $i] : refl((node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))))),
% 49.18/31.80 inference(bind,[status(th)],[])).
% 49.18/31.80 tff(3453,plain,
% 49.18/31.80 (![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> ![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 49.18/31.80 inference(quant_intro,[status(thm)],[3452])).
% 49.18/31.80 tff(3454,plain,
% 49.18/31.80 (![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) <=> ![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 49.18/31.80 inference(rewrite,[status(thm)],[])).
% 49.18/31.80 tff(3455,plain,
% 49.18/31.80 (^[X: $i] : trans(monotonicity(trans(monotonicity(rewrite(((node9(X) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))) <=> (node9(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))), ((((node9(X) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) <=> ((node9(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))))), rewrite(((node9(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) <=> (node9(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))), ((((node9(X) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) <=> (node9(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))))), (((((node9(X) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) | node10(X)) <=> ((node9(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | node10(X)))), rewrite(((node9(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle))) | node10(X)) <=> (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))), (((((node9(X) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) | node10(X)) <=> (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))))),
% 49.18/31.80 inference(bind,[status(th)],[])).
% 49.18/31.80 tff(3456,plain,
% 49.18/31.80 (![X: $i] : ((((node9(X) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) | node10(X)) <=> ![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 49.18/31.80 inference(quant_intro,[status(thm)],[3455])).
% 49.18/31.80 tff(3457,axiom,(![X: $i] : ((((node9(X) | (~m_processor_v_cmd(c_p0, X, c_idle))) | (~m_processor_v_cmd(c_p2, X, c_idle))) | (~m_memory_v_cmd(c_m, X, c_idle))) | node10(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_111')).
% 49.18/31.80 tff(3458,plain,
% 49.18/31.80 (![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 49.18/31.80 inference(modus_ponens,[status(thm)],[3457, 3456])).
% 49.18/31.80 tff(3459,plain,
% 49.18/31.80 (![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 49.18/31.80 inference(modus_ponens,[status(thm)],[3458, 3454])).
% 49.18/31.80 tff(3460,plain,(
% 49.18/31.80 ![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 49.18/31.80 inference(skolemize,[status(sab)],[3459])).
% 49.18/31.80 tff(3461,plain,
% 49.18/31.80 (![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))),
% 49.18/31.80 inference(modus_ponens,[status(thm)],[3460, 3453])).
% 49.18/31.80 tff(3462,plain,
% 49.18/31.80 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s1) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle)) | node10(s1))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s1) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle)) | node10(s1))),
% 49.18/31.80 inference(rewrite,[status(thm)],[])).
% 49.18/31.80 tff(3463,plain,
% 49.18/31.80 ((node9(s1) | node10(s1) | (~m_memory_v_cmd(c_m, s1, c_idle)) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle))) <=> (node9(s1) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle)) | node10(s1))),
% 49.18/31.80 inference(rewrite,[status(thm)],[])).
% 49.18/31.80 tff(3464,plain,
% 49.18/31.80 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s1) | node10(s1) | (~m_memory_v_cmd(c_m, s1, c_idle)) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s1) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle)) | node10(s1)))),
% 49.18/31.80 inference(monotonicity,[status(thm)],[3463])).
% 49.18/31.80 tff(3465,plain,
% 49.18/31.80 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s1) | node10(s1) | (~m_memory_v_cmd(c_m, s1, c_idle)) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s1) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle)) | node10(s1))),
% 49.18/31.80 inference(transitivity,[status(thm)],[3464, 3462])).
% 49.18/31.80 tff(3466,plain,
% 49.18/31.80 ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s1) | node10(s1) | (~m_memory_v_cmd(c_m, s1, c_idle)) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)))),
% 49.18/31.80 inference(quant_inst,[status(thm)],[])).
% 49.18/31.80 tff(3467,plain,
% 49.18/31.80 ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s1) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle)) | node10(s1)),
% 49.18/31.80 inference(modus_ponens,[status(thm)],[3466, 3465])).
% 49.18/31.80 tff(3468,plain,
% 49.18/31.80 (node9(s1) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | node10(s1)),
% 49.18/31.80 inference(unit_resolution,[status(thm)],[3467, 3461, 3375, 3451])).
% 49.18/31.80 tff(3469,plain,
% 49.18/31.80 (node10(s1)),
% 49.18/31.80 inference(unit_resolution,[status(thm)],[3468, 3447, 3436])).
% 49.18/31.80 tff(3470,assumption,(node10(s1)), introduced(assumption)).
% 49.18/31.80 tff(3471,assumption,(m_processor_v_cmd(c_p1, s1, c_read_h_shared)), introduced(assumption)).
% 49.18/31.80 tff(3472,plain,
% 49.18/31.80 (^[V: $i, X: $i] : refl((m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V))) <=> (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V))))),
% 49.18/31.80 inference(bind,[status(th)],[])).
% 49.18/31.80 tff(3473,plain,
% 49.18/31.80 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))),
% 49.18/31.80 inference(quant_intro,[status(thm)],[3472])).
% 49.18/31.80 tff(3474,plain,
% 49.18/31.80 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))),
% 49.18/31.80 inference(rewrite,[status(thm)],[])).
% 49.18/31.80 tff(3475,plain,
% 49.18/31.80 (^[V: $i, X: $i] : trans(monotonicity(rewrite((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p1, X, V))) <=> (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p1, X, V)))), (((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p1, X, V))) | (~node10(X))) <=> ((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p1, X, V))) | (~node10(X))))), rewrite(((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p1, X, V))) | (~node10(X))) <=> (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))), (((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p1, X, V))) | (~node10(X))) <=> (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))))),
% 49.18/31.80 inference(bind,[status(th)],[])).
% 49.18/31.80 tff(3476,plain,
% 49.18/31.80 (![V: $i, X: $i] : ((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p1, X, V))) | (~node10(X))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))),
% 49.18/31.80 inference(quant_intro,[status(thm)],[3475])).
% 49.18/31.80 tff(3477,axiom,(![V: $i, X: $i] : ((m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p1, X, V))) | (~node10(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_95')).
% 49.18/31.80 tff(3478,plain,
% 49.18/31.80 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))),
% 49.18/31.80 inference(modus_ponens,[status(thm)],[3477, 3476])).
% 49.18/31.80 tff(3479,plain,
% 49.18/31.80 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))),
% 49.18/31.80 inference(modus_ponens,[status(thm)],[3478, 3474])).
% 49.18/31.80 tff(3480,plain,(
% 49.18/31.80 ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))),
% 49.18/31.80 inference(skolemize,[status(sab)],[3479])).
% 49.18/31.80 tff(3481,plain,
% 49.18/31.80 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))),
% 49.18/31.80 inference(modus_ponens,[status(thm)],[3480, 3473])).
% 49.18/31.80 tff(3482,plain,
% 49.18/31.80 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)) | m_main_v_CMD(s1, c_read_h_shared))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)) | m_main_v_CMD(s1, c_read_h_shared))),
% 49.18/31.80 inference(rewrite,[status(thm)],[])).
% 49.18/31.80 tff(3483,plain,
% 49.18/31.80 ((m_main_v_CMD(s1, c_read_h_shared) | (~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared))) <=> ((~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)) | m_main_v_CMD(s1, c_read_h_shared))),
% 49.18/31.80 inference(rewrite,[status(thm)],[])).
% 49.18/31.80 tff(3484,plain,
% 49.18/31.80 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)) | m_main_v_CMD(s1, c_read_h_shared)))),
% 49.18/31.80 inference(monotonicity,[status(thm)],[3483])).
% 49.18/31.80 tff(3485,plain,
% 49.18/31.80 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)) | m_main_v_CMD(s1, c_read_h_shared))),
% 49.18/31.80 inference(transitivity,[status(thm)],[3484, 3482])).
% 49.18/31.80 tff(3486,plain,
% 49.18/31.80 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)))),
% 49.18/31.80 inference(quant_inst,[status(thm)],[])).
% 49.18/31.80 tff(3487,plain,
% 49.18/31.80 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s1)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)) | m_main_v_CMD(s1, c_read_h_shared)),
% 49.18/31.80 inference(modus_ponens,[status(thm)],[3486, 3485])).
% 49.18/31.80 tff(3488,plain,
% 49.18/31.80 ($false),
% 49.18/31.80 inference(unit_resolution,[status(thm)],[3487, 3481, 3300, 3471, 3470])).
% 49.18/31.80 tff(3489,plain,((~m_processor_v_cmd(c_p1, s1, c_read_h_shared)) | m_main_v_CMD(s1, c_read_h_shared) | (~node10(s1))), inference(lemma,lemma(discharge,[]))).
% 49.18/31.80 tff(3490,plain,
% 49.18/31.80 (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)),
% 49.18/31.80 inference(unit_resolution,[status(thm)],[3489, 3469, 3300])).
% 49.18/31.80 tff(3491,plain,
% 49.18/31.80 (m_processor_v_cmd(c_p1, s1, c_read_h_owned)),
% 49.18/31.80 inference(unit_resolution,[status(thm)],[3212, 3490])).
% 49.18/31.80 tff(3492,plain,
% 49.18/31.80 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid))) <=> ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid))))),
% 49.18/31.80 inference(bind,[status(th)],[])).
% 49.18/31.80 tff(3493,plain,
% 49.18/31.80 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))),
% 49.18/31.80 inference(quant_intro,[status(thm)],[3492])).
% 49.18/31.80 tff(3494,plain,
% 49.18/31.80 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))),
% 49.18/31.80 inference(rewrite,[status(thm)],[])).
% 49.18/31.80 tff(3495,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_19')).
% 49.18/31.80 tff(3496,plain,
% 49.18/31.80 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))),
% 49.18/31.80 inference(modus_ponens,[status(thm)],[3495, 3494])).
% 49.18/31.80 tff(3497,plain,(
% 49.18/31.80 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))),
% 49.18/31.80 inference(skolemize,[status(sab)],[3496])).
% 49.18/31.80 tff(3498,plain,
% 49.18/31.80 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))),
% 49.18/31.80 inference(modus_ponens,[status(thm)],[3497, 3493])).
% 49.18/31.80 tff(3499,plain,
% 49.18/31.80 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid)))),
% 49.18/31.80 inference(rewrite,[status(thm)],[])).
% 49.18/31.80 tff(3500,plain,
% 49.18/31.80 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid)))),
% 49.18/31.80 inference(quant_inst,[status(thm)],[])).
% 49.18/31.80 tff(3501,plain,
% 49.18/31.80 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid))),
% 49.18/31.80 inference(modus_ponens,[status(thm)],[3500, 3499])).
% 49.18/31.80 tff(3502,plain,
% 49.18/31.80 (~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid)),
% 49.18/31.80 inference(unit_resolution,[status(thm)],[3501, 3498, 3491])).
% 49.18/31.80 tff(3503,plain,
% 49.18/31.80 (^[V: $i, X: $i] : refl(((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V)) <=> ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V)))),
% 49.18/31.80 inference(bind,[status(th)],[])).
% 49.18/31.80 tff(3504,plain,
% 49.18/31.80 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V)) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))),
% 49.18/31.80 inference(quant_intro,[status(thm)],[3503])).
% 49.18/31.80 tff(3505,plain,
% 49.18/31.80 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V)) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))),
% 49.18/31.80 inference(rewrite,[status(thm)],[])).
% 49.18/31.80 tff(3506,plain,
% 49.18/31.80 (^[V: $i, X: $i] : rewrite((((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p1, X, V)) | (~node10(X))) <=> ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V)))),
% 49.18/31.80 inference(bind,[status(th)],[])).
% 49.18/31.80 tff(3507,plain,
% 49.18/31.80 (![V: $i, X: $i] : (((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p1, X, V)) | (~node10(X))) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))),
% 49.18/31.80 inference(quant_intro,[status(thm)],[3506])).
% 49.18/31.80 tff(3508,axiom,(![V: $i, X: $i] : (((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p1, X, V)) | (~node10(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_96')).
% 49.18/31.80 tff(3509,plain,
% 49.18/31.80 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))),
% 49.18/31.80 inference(modus_ponens,[status(thm)],[3508, 3507])).
% 49.18/31.80 tff(3510,plain,
% 49.18/31.80 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))),
% 49.18/31.80 inference(modus_ponens,[status(thm)],[3509, 3505])).
% 49.18/31.80 tff(3511,plain,(
% 49.18/31.80 ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))),
% 49.18/31.80 inference(skolemize,[status(sab)],[3510])).
% 49.18/31.80 tff(3512,plain,
% 49.18/31.80 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))),
% 49.18/31.80 inference(modus_ponens,[status(thm)],[3511, 3504])).
% 49.18/31.80 tff(3513,plain,
% 49.18/31.80 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid) | (~node10(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid) | (~node10(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)))),
% 49.18/31.80 inference(rewrite,[status(thm)],[])).
% 49.18/31.80 tff(3514,plain,
% 49.18/31.80 (((~m_main_v_CMD(s1, c_write_h_resp_h_invalid)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid)) <=> (m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid) | (~node10(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)))),
% 49.18/31.80 inference(rewrite,[status(thm)],[])).
% 49.18/31.80 tff(3515,plain,
% 49.18/31.80 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_invalid)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid) | (~node10(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid))))),
% 49.18/31.80 inference(monotonicity,[status(thm)],[3514])).
% 49.18/31.80 tff(3516,plain,
% 49.18/31.80 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_invalid)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid) | (~node10(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)))),
% 49.18/31.81 inference(transitivity,[status(thm)],[3515, 3513])).
% 49.18/31.81 tff(3517,plain,
% 49.18/31.81 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_invalid)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid))),
% 49.18/31.81 inference(quant_inst,[status(thm)],[])).
% 49.18/31.81 tff(3518,plain,
% 49.18/31.81 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_invalid) | (~node10(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid))),
% 49.18/31.81 inference(modus_ponens,[status(thm)],[3517, 3516])).
% 49.18/31.81 tff(3519,plain,
% 49.18/31.81 (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)),
% 49.18/31.81 inference(unit_resolution,[status(thm)],[3518, 3512, 3469, 3502])).
% 49.18/31.81 tff(3520,plain,
% 49.18/31.81 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))) <=> ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))))),
% 49.18/31.81 inference(bind,[status(th)],[])).
% 49.18/31.81 tff(3521,plain,
% 49.18/31.81 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 49.18/31.81 inference(quant_intro,[status(thm)],[3520])).
% 49.18/31.81 tff(3522,plain,
% 49.18/31.81 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 49.18/31.81 inference(rewrite,[status(thm)],[])).
% 49.18/31.81 tff(3523,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_20')).
% 49.18/31.81 tff(3524,plain,
% 49.18/31.81 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 49.18/31.81 inference(modus_ponens,[status(thm)],[3523, 3522])).
% 49.18/31.81 tff(3525,plain,(
% 49.18/31.81 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 49.18/31.81 inference(skolemize,[status(sab)],[3524])).
% 49.18/31.81 tff(3526,plain,
% 49.18/31.81 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 49.18/31.81 inference(modus_ponens,[status(thm)],[3525, 3521])).
% 49.18/31.81 tff(3527,plain,
% 49.18/31.81 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared)))),
% 49.18/31.81 inference(rewrite,[status(thm)],[])).
% 49.18/31.81 tff(3528,plain,
% 49.18/31.81 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared)))),
% 49.18/31.81 inference(quant_inst,[status(thm)],[])).
% 49.18/31.81 tff(3529,plain,
% 49.18/31.81 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared))),
% 49.18/31.81 inference(modus_ponens,[status(thm)],[3528, 3527])).
% 49.18/31.81 tff(3530,plain,
% 49.18/31.81 (~m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared)),
% 49.18/31.81 inference(unit_resolution,[status(thm)],[3529, 3526, 3491])).
% 49.18/31.81 tff(3531,plain,
% 49.18/31.81 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared) | (~node10(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared) | (~node10(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared)))),
% 49.18/31.81 inference(rewrite,[status(thm)],[])).
% 49.18/31.81 tff(3532,plain,
% 49.18/31.81 (((~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared)) <=> (m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared) | (~node10(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared)))),
% 49.18/31.81 inference(rewrite,[status(thm)],[])).
% 49.18/31.81 tff(3533,plain,
% 49.18/31.81 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared) | (~node10(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared))))),
% 49.18/31.81 inference(monotonicity,[status(thm)],[3532])).
% 49.18/31.81 tff(3534,plain,
% 49.18/31.81 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared) | (~node10(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared)))),
% 49.18/31.81 inference(transitivity,[status(thm)],[3533, 3531])).
% 49.18/31.81 tff(3535,plain,
% 49.18/31.81 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared))),
% 49.18/31.81 inference(quant_inst,[status(thm)],[])).
% 49.18/31.81 tff(3536,plain,
% 49.18/31.81 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s1, c_write_h_resp_h_shared) | (~node10(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared))),
% 49.18/31.81 inference(modus_ponens,[status(thm)],[3535, 3534])).
% 49.18/31.81 tff(3537,plain,
% 49.18/31.81 (~m_main_v_CMD(s1, c_write_h_resp_h_shared)),
% 49.18/31.81 inference(unit_resolution,[status(thm)],[3536, 3512, 3469, 3530])).
% 49.18/31.81 tff(3538,plain,
% 49.18/31.81 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_invalidate))) <=> ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_invalidate))))),
% 49.18/31.81 inference(bind,[status(th)],[])).
% 49.18/31.81 tff(3539,plain,
% 49.18/31.81 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_invalidate))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_invalidate)))),
% 49.18/31.81 inference(quant_intro,[status(thm)],[3538])).
% 49.18/31.81 tff(3540,plain,
% 49.18/31.81 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_invalidate))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_invalidate)))),
% 49.18/31.81 inference(rewrite,[status(thm)],[])).
% 49.18/31.81 tff(3541,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_invalidate)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_21')).
% 49.18/31.81 tff(3542,plain,
% 49.18/31.81 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_invalidate)))),
% 49.18/31.81 inference(modus_ponens,[status(thm)],[3541, 3540])).
% 49.18/31.81 tff(3543,plain,(
% 49.18/31.81 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_invalidate)))),
% 49.18/31.81 inference(skolemize,[status(sab)],[3542])).
% 49.18/31.81 tff(3544,plain,
% 49.18/31.81 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_invalidate)))),
% 49.18/31.81 inference(modus_ponens,[status(thm)],[3543, 3539])).
% 49.18/31.81 tff(3545,plain,
% 49.18/31.81 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | ((~m_processor_v_cmd(c_p1, s1, c_invalidate)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | (~m_processor_v_cmd(c_p1, s1, c_invalidate)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)))),
% 49.18/31.81 inference(rewrite,[status(thm)],[])).
% 49.18/31.81 tff(3546,plain,
% 49.18/31.81 (((~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s1, c_invalidate))) <=> ((~m_processor_v_cmd(c_p1, s1, c_invalidate)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)))),
% 49.18/31.81 inference(rewrite,[status(thm)],[])).
% 49.18/31.81 tff(3547,plain,
% 49.18/31.81 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | ((~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s1, c_invalidate)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | ((~m_processor_v_cmd(c_p1, s1, c_invalidate)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned))))),
% 49.18/31.81 inference(monotonicity,[status(thm)],[3546])).
% 49.18/31.81 tff(3548,plain,
% 49.18/31.81 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | ((~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s1, c_invalidate)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | (~m_processor_v_cmd(c_p1, s1, c_invalidate)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)))),
% 49.18/31.81 inference(transitivity,[status(thm)],[3547, 3545])).
% 49.18/31.81 tff(3549,plain,
% 49.18/31.81 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | ((~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s1, c_invalidate)))),
% 49.18/31.81 inference(quant_inst,[status(thm)],[])).
% 49.18/31.81 tff(3550,plain,
% 49.18/31.81 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | (~m_processor_v_cmd(c_p1, s1, c_invalidate)) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned))),
% 49.18/31.81 inference(modus_ponens,[status(thm)],[3549, 3548])).
% 49.18/31.81 tff(3551,plain,
% 49.18/31.81 (~m_processor_v_cmd(c_p1, s1, c_invalidate)),
% 49.18/31.81 inference(unit_resolution,[status(thm)],[3550, 3544, 3491])).
% 49.18/31.81 tff(3552,plain,
% 49.18/31.81 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_invalidate) | (~m_main_v_CMD(s1, c_invalidate)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_invalidate) | (~m_main_v_CMD(s1, c_invalidate)))),
% 49.18/31.81 inference(rewrite,[status(thm)],[])).
% 49.18/31.81 tff(3553,plain,
% 49.18/31.81 (((~m_main_v_CMD(s1, c_invalidate)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_invalidate)) <=> ((~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_invalidate) | (~m_main_v_CMD(s1, c_invalidate)))),
% 49.18/31.81 inference(rewrite,[status(thm)],[])).
% 49.18/31.81 tff(3554,plain,
% 49.18/31.81 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_invalidate)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_invalidate))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_invalidate) | (~m_main_v_CMD(s1, c_invalidate))))),
% 49.18/31.81 inference(monotonicity,[status(thm)],[3553])).
% 49.18/31.81 tff(3555,plain,
% 49.18/31.81 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_invalidate)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_invalidate))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_invalidate) | (~m_main_v_CMD(s1, c_invalidate)))),
% 49.18/31.81 inference(transitivity,[status(thm)],[3554, 3552])).
% 49.18/31.81 tff(3556,plain,
% 49.18/31.81 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_invalidate)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_invalidate))),
% 49.18/31.81 inference(quant_inst,[status(thm)],[])).
% 49.18/31.81 tff(3557,plain,
% 49.18/31.81 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_invalidate) | (~m_main_v_CMD(s1, c_invalidate))),
% 49.18/31.81 inference(modus_ponens,[status(thm)],[3556, 3555])).
% 49.18/31.81 tff(3558,plain,
% 49.18/31.81 (~m_main_v_CMD(s1, c_invalidate)),
% 49.18/31.81 inference(unit_resolution,[status(thm)],[3557, 3512, 3469, 3551])).
% 49.18/31.81 tff(3559,plain,
% 49.18/31.81 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (m_processor_v_cmd(c_p1, s1, c_idle) | (~node10(s1)) | (~m_main_v_CMD(s1, c_idle)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s1, c_idle) | (~node10(s1)) | (~m_main_v_CMD(s1, c_idle)))),
% 49.18/31.81 inference(rewrite,[status(thm)],[])).
% 49.18/31.81 tff(3560,plain,
% 49.18/31.81 (((~m_main_v_CMD(s1, c_idle)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_idle)) <=> (m_processor_v_cmd(c_p1, s1, c_idle) | (~node10(s1)) | (~m_main_v_CMD(s1, c_idle)))),
% 49.18/31.81 inference(rewrite,[status(thm)],[])).
% 49.18/31.81 tff(3561,plain,
% 49.18/31.81 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_idle)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_idle))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (m_processor_v_cmd(c_p1, s1, c_idle) | (~node10(s1)) | (~m_main_v_CMD(s1, c_idle))))),
% 49.18/31.81 inference(monotonicity,[status(thm)],[3560])).
% 49.18/31.81 tff(3562,plain,
% 49.18/31.81 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_idle)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_idle))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s1, c_idle) | (~node10(s1)) | (~m_main_v_CMD(s1, c_idle)))),
% 49.18/31.81 inference(transitivity,[status(thm)],[3561, 3559])).
% 49.18/31.81 tff(3563,plain,
% 49.18/31.81 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_idle)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_idle))),
% 49.18/31.81 inference(quant_inst,[status(thm)],[])).
% 49.18/31.81 tff(3564,plain,
% 49.18/31.81 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s1, c_idle) | (~node10(s1)) | (~m_main_v_CMD(s1, c_idle))),
% 49.18/31.81 inference(modus_ponens,[status(thm)],[3563, 3562])).
% 49.18/31.81 tff(3565,plain,
% 49.18/31.81 ((~node10(s1)) | (~m_main_v_CMD(s1, c_idle))),
% 49.18/31.81 inference(unit_resolution,[status(thm)],[3564, 3512, 3301])).
% 49.18/31.81 tff(3566,plain,
% 49.18/31.81 (~m_main_v_CMD(s1, c_idle)),
% 49.18/31.81 inference(unit_resolution,[status(thm)],[3565, 3469])).
% 49.18/31.81 tff(3567,assumption,(~m_main_v_CMD(s1, c_write_h_invalid)), introduced(assumption)).
% 49.18/31.81 tff(3568,plain,
% 49.18/31.81 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response))))),
% 49.18/31.81 inference(bind,[status(th)],[])).
% 49.18/31.81 tff(3569,plain,
% 49.18/31.81 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 49.18/31.81 inference(quant_intro,[status(thm)],[3568])).
% 49.18/31.81 tff(3570,plain,
% 49.18/31.81 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 49.18/31.81 inference(rewrite,[status(thm)],[])).
% 49.18/31.81 tff(3571,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_22')).
% 49.18/31.81 tff(3572,plain,
% 49.18/31.81 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 49.18/31.81 inference(modus_ponens,[status(thm)],[3571, 3570])).
% 49.18/31.81 tff(3573,plain,(
% 49.18/31.81 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 49.18/31.81 inference(skolemize,[status(sab)],[3572])).
% 49.18/31.81 tff(3574,plain,
% 49.18/31.81 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 49.18/31.81 inference(modus_ponens,[status(thm)],[3573, 3569])).
% 49.18/31.81 tff(3575,plain,
% 49.18/31.81 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s1, c_response)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s1, c_response)))),
% 49.18/31.81 inference(rewrite,[status(thm)],[])).
% 49.18/31.81 tff(3576,plain,
% 49.18/31.81 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s1, c_response)))),
% 49.18/31.81 inference(quant_inst,[status(thm)],[])).
% 49.18/31.81 tff(3577,plain,
% 49.18/31.81 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s1, c_response))),
% 49.18/31.81 inference(modus_ponens,[status(thm)],[3576, 3575])).
% 49.18/31.81 tff(3578,plain,
% 49.18/31.81 (~m_processor_v_cmd(c_p1, s1, c_response)),
% 49.18/31.81 inference(unit_resolution,[status(thm)],[3577, 3574, 3491])).
% 49.18/31.81 tff(3579,plain,
% 49.18/31.81 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_response) | (~m_main_v_CMD(s1, c_response)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_response) | (~m_main_v_CMD(s1, c_response)))),
% 49.18/31.81 inference(rewrite,[status(thm)],[])).
% 49.18/31.81 tff(3580,plain,
% 49.18/31.81 (((~m_main_v_CMD(s1, c_response)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_response)) <=> ((~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_response) | (~m_main_v_CMD(s1, c_response)))),
% 49.18/31.81 inference(rewrite,[status(thm)],[])).
% 49.18/31.81 tff(3581,plain,
% 49.18/31.81 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_response)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_response))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_response) | (~m_main_v_CMD(s1, c_response))))),
% 49.18/31.81 inference(monotonicity,[status(thm)],[3580])).
% 49.18/31.81 tff(3582,plain,
% 49.18/31.81 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_response)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_response))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_response) | (~m_main_v_CMD(s1, c_response)))),
% 49.18/31.81 inference(transitivity,[status(thm)],[3581, 3579])).
% 49.18/31.81 tff(3583,plain,
% 49.18/31.81 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_response)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_response))),
% 49.18/31.81 inference(quant_inst,[status(thm)],[])).
% 49.18/31.81 tff(3584,plain,
% 49.18/31.81 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_response) | (~m_main_v_CMD(s1, c_response))),
% 49.18/31.81 inference(modus_ponens,[status(thm)],[3583, 3582])).
% 49.18/31.81 tff(3585,plain,
% 49.18/31.81 (~m_main_v_CMD(s1, c_response)),
% 49.18/31.81 inference(unit_resolution,[status(thm)],[3584, 3512, 3469, 3578])).
% 49.18/31.81 tff(3586,plain,
% 49.18/31.81 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared))) <=> ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared))))),
% 49.18/31.81 inference(bind,[status(th)],[])).
% 49.18/31.81 tff(3587,plain,
% 49.18/31.81 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 49.18/31.81 inference(quant_intro,[status(thm)],[3586])).
% 49.18/31.81 tff(3588,plain,
% 49.18/31.81 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 49.18/31.81 inference(rewrite,[status(thm)],[])).
% 49.18/31.81 tff(3589,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_18')).
% 49.18/31.81 tff(3590,plain,
% 49.18/31.81 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 49.18/31.81 inference(modus_ponens,[status(thm)],[3589, 3588])).
% 49.18/31.81 tff(3591,plain,(
% 49.18/31.81 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 49.18/31.81 inference(skolemize,[status(sab)],[3590])).
% 49.18/31.81 tff(3592,plain,
% 49.18/31.81 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 49.18/31.81 inference(modus_ponens,[status(thm)],[3591, 3587])).
% 49.18/31.81 tff(3593,plain,
% 49.18/31.81 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | ((~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_shared)))),
% 49.18/31.81 inference(rewrite,[status(thm)],[])).
% 49.18/31.81 tff(3594,plain,
% 49.18/31.81 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | ((~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_shared)))),
% 49.18/31.81 inference(quant_inst,[status(thm)],[])).
% 49.18/31.81 tff(3595,plain,
% 49.18/31.81 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_shared))),
% 49.18/31.81 inference(modus_ponens,[status(thm)],[3594, 3593])).
% 49.18/31.81 tff(3596,plain,
% 49.18/31.81 (~m_processor_v_cmd(c_p1, s1, c_write_h_shared)),
% 49.18/31.81 inference(unit_resolution,[status(thm)],[3595, 3592, 3491])).
% 49.18/31.81 tff(3597,plain,
% 49.18/31.81 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_write_h_shared) | (~m_main_v_CMD(s1, c_write_h_shared)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_write_h_shared) | (~m_main_v_CMD(s1, c_write_h_shared)))),
% 49.18/31.81 inference(rewrite,[status(thm)],[])).
% 49.18/31.81 tff(3598,plain,
% 49.18/31.81 (((~m_main_v_CMD(s1, c_write_h_shared)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_write_h_shared)) <=> ((~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_write_h_shared) | (~m_main_v_CMD(s1, c_write_h_shared)))),
% 49.18/31.81 inference(rewrite,[status(thm)],[])).
% 49.18/31.81 tff(3599,plain,
% 49.18/31.81 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_write_h_shared)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_write_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_write_h_shared) | (~m_main_v_CMD(s1, c_write_h_shared))))),
% 49.18/31.81 inference(monotonicity,[status(thm)],[3598])).
% 49.18/31.81 tff(3600,plain,
% 49.18/31.81 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_write_h_shared)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_write_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_write_h_shared) | (~m_main_v_CMD(s1, c_write_h_shared)))),
% 49.18/31.81 inference(transitivity,[status(thm)],[3599, 3597])).
% 49.18/31.81 tff(3601,plain,
% 49.18/31.81 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_write_h_shared)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_write_h_shared))),
% 49.18/31.81 inference(quant_inst,[status(thm)],[])).
% 49.18/31.81 tff(3602,plain,
% 49.18/31.81 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_write_h_shared) | (~m_main_v_CMD(s1, c_write_h_shared))),
% 49.18/31.81 inference(modus_ponens,[status(thm)],[3601, 3600])).
% 49.18/31.81 tff(3603,plain,
% 49.18/31.81 (~m_main_v_CMD(s1, c_write_h_shared)),
% 49.18/31.81 inference(unit_resolution,[status(thm)],[3602, 3512, 3469, 3596])).
% 49.18/31.81 tff(3604,plain,
% 49.18/31.81 (^[X: $i] : refl((m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) <=> (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)))),
% 49.18/31.81 inference(bind,[status(th)],[])).
% 49.18/31.81 tff(3605,plain,
% 49.18/31.81 (![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) <=> ![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))),
% 49.18/31.81 inference(quant_intro,[status(thm)],[3604])).
% 49.18/31.81 tff(3606,plain,
% 49.18/31.81 (![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) <=> ![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))),
% 49.18/31.81 inference(rewrite,[status(thm)],[])).
% 49.18/31.81 tff(3607,plain,
% 49.18/31.81 (^[X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) <=> (m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))), ((((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) | m_main_v_CMD(X, c_write_h_invalid)) <=> ((m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) | m_main_v_CMD(X, c_write_h_invalid)))), rewrite(((m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) | m_main_v_CMD(X, c_write_h_invalid)) <=> (m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))), ((((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) | m_main_v_CMD(X, c_write_h_invalid)) <=> (m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)))), (((((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) | m_main_v_CMD(X, c_write_h_invalid)) | m_main_v_CMD(X, c_write_h_shared)) <=> ((m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) | m_main_v_CMD(X, c_write_h_shared)))), rewrite(((m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) | m_main_v_CMD(X, c_write_h_shared)) <=> (m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))), (((((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) | m_main_v_CMD(X, c_write_h_invalid)) | m_main_v_CMD(X, c_write_h_shared)) <=> (m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)))), ((((((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) | m_main_v_CMD(X, c_write_h_invalid)) | m_main_v_CMD(X, c_write_h_shared)) | m_main_v_CMD(X, c_write_h_resp_h_invalid)) <=> ((m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) | m_main_v_CMD(X, c_write_h_resp_h_invalid)))), rewrite(((m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) | m_main_v_CMD(X, c_write_h_resp_h_invalid)) <=> (m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))), ((((((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) | m_main_v_CMD(X, c_write_h_invalid)) | m_main_v_CMD(X, c_write_h_shared)) | m_main_v_CMD(X, c_write_h_resp_h_invalid)) <=> (m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)))), (((((((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) | m_main_v_CMD(X, c_write_h_invalid)) | m_main_v_CMD(X, c_write_h_shared)) | m_main_v_CMD(X, c_write_h_resp_h_invalid)) | m_main_v_CMD(X, c_write_h_resp_h_shared)) <=> ((m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) | m_main_v_CMD(X, c_write_h_resp_h_shared)))), rewrite(((m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) | m_main_v_CMD(X, c_write_h_resp_h_shared)) <=> (m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))), (((((((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) | m_main_v_CMD(X, c_write_h_invalid)) | m_main_v_CMD(X, c_write_h_shared)) | m_main_v_CMD(X, c_write_h_resp_h_invalid)) | m_main_v_CMD(X, c_write_h_resp_h_shared)) <=> (m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)))), ((((((((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) | m_main_v_CMD(X, c_write_h_invalid)) | m_main_v_CMD(X, c_write_h_shared)) | m_main_v_CMD(X, c_write_h_resp_h_invalid)) | m_main_v_CMD(X, c_write_h_resp_h_shared)) | m_main_v_CMD(X, c_invalidate)) <=> ((m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) | m_main_v_CMD(X, c_invalidate)))), rewrite(((m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) | m_main_v_CMD(X, c_invalidate)) <=> (m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))), ((((((((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) | m_main_v_CMD(X, c_write_h_invalid)) | m_main_v_CMD(X, c_write_h_shared)) | m_main_v_CMD(X, c_write_h_resp_h_invalid)) | m_main_v_CMD(X, c_write_h_resp_h_shared)) | m_main_v_CMD(X, c_invalidate)) <=> (m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)))), (((((((((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) | m_main_v_CMD(X, c_write_h_invalid)) | m_main_v_CMD(X, c_write_h_shared)) | m_main_v_CMD(X, c_write_h_resp_h_invalid)) | m_main_v_CMD(X, c_write_h_resp_h_shared)) | m_main_v_CMD(X, c_invalidate)) | m_main_v_CMD(X, c_response)) <=> ((m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) | m_main_v_CMD(X, c_response)))), rewrite(((m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle)) | m_main_v_CMD(X, c_response)) <=> (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))), (((((((((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) | m_main_v_CMD(X, c_write_h_invalid)) | m_main_v_CMD(X, c_write_h_shared)) | m_main_v_CMD(X, c_write_h_resp_h_invalid)) | m_main_v_CMD(X, c_write_h_resp_h_shared)) | m_main_v_CMD(X, c_invalidate)) | m_main_v_CMD(X, c_response)) <=> (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))))),
% 49.18/31.82 inference(bind,[status(th)],[])).
% 49.18/31.82 tff(3608,plain,
% 49.18/31.82 (![X: $i] : ((((((((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) | m_main_v_CMD(X, c_write_h_invalid)) | m_main_v_CMD(X, c_write_h_shared)) | m_main_v_CMD(X, c_write_h_resp_h_invalid)) | m_main_v_CMD(X, c_write_h_resp_h_shared)) | m_main_v_CMD(X, c_invalidate)) | m_main_v_CMD(X, c_response)) <=> ![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))),
% 49.18/31.82 inference(quant_intro,[status(thm)],[3607])).
% 49.18/31.82 tff(3609,axiom,(![X: $i] : ((((((((m_main_v_CMD(X, c_idle) | m_main_v_CMD(X, c_read_h_shared)) | m_main_v_CMD(X, c_read_h_owned)) | m_main_v_CMD(X, c_write_h_invalid)) | m_main_v_CMD(X, c_write_h_shared)) | m_main_v_CMD(X, c_write_h_resp_h_invalid)) | m_main_v_CMD(X, c_write_h_resp_h_shared)) | m_main_v_CMD(X, c_invalidate)) | m_main_v_CMD(X, c_response))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_1')).
% 49.18/31.82 tff(3610,plain,
% 49.18/31.82 (![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))),
% 49.18/31.82 inference(modus_ponens,[status(thm)],[3609, 3608])).
% 49.18/31.82 tff(3611,plain,
% 49.18/31.82 (![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))),
% 49.18/31.82 inference(modus_ponens,[status(thm)],[3610, 3606])).
% 49.18/31.82 tff(3612,plain,(
% 49.18/31.82 ![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))),
% 49.18/31.82 inference(skolemize,[status(sab)],[3611])).
% 49.18/31.82 tff(3613,plain,
% 49.18/31.82 (![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))),
% 49.18/31.82 inference(modus_ponens,[status(thm)],[3612, 3605])).
% 49.18/31.82 tff(3614,plain,
% 49.18/31.82 (((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | (m_main_v_CMD(s1, c_idle) | m_main_v_CMD(s1, c_response) | m_main_v_CMD(s1, c_invalidate) | m_main_v_CMD(s1, c_write_h_resp_h_shared) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | m_main_v_CMD(s1, c_write_h_shared) | m_main_v_CMD(s1, c_write_h_invalid) | m_main_v_CMD(s1, c_read_h_owned) | m_main_v_CMD(s1, c_read_h_shared))) <=> ((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | m_main_v_CMD(s1, c_idle) | m_main_v_CMD(s1, c_response) | m_main_v_CMD(s1, c_invalidate) | m_main_v_CMD(s1, c_write_h_resp_h_shared) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | m_main_v_CMD(s1, c_write_h_shared) | m_main_v_CMD(s1, c_write_h_invalid) | m_main_v_CMD(s1, c_read_h_owned) | m_main_v_CMD(s1, c_read_h_shared))),
% 49.18/31.82 inference(rewrite,[status(thm)],[])).
% 49.18/31.82 tff(3615,plain,
% 49.18/31.82 ((m_main_v_CMD(s1, c_response) | m_main_v_CMD(s1, c_invalidate) | m_main_v_CMD(s1, c_write_h_resp_h_shared) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | m_main_v_CMD(s1, c_write_h_shared) | m_main_v_CMD(s1, c_write_h_invalid) | m_main_v_CMD(s1, c_read_h_owned) | m_main_v_CMD(s1, c_read_h_shared) | m_main_v_CMD(s1, c_idle)) <=> (m_main_v_CMD(s1, c_idle) | m_main_v_CMD(s1, c_response) | m_main_v_CMD(s1, c_invalidate) | m_main_v_CMD(s1, c_write_h_resp_h_shared) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | m_main_v_CMD(s1, c_write_h_shared) | m_main_v_CMD(s1, c_write_h_invalid) | m_main_v_CMD(s1, c_read_h_owned) | m_main_v_CMD(s1, c_read_h_shared))),
% 49.18/31.82 inference(rewrite,[status(thm)],[])).
% 49.18/31.82 tff(3616,plain,
% 49.18/31.82 (((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | (m_main_v_CMD(s1, c_response) | m_main_v_CMD(s1, c_invalidate) | m_main_v_CMD(s1, c_write_h_resp_h_shared) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | m_main_v_CMD(s1, c_write_h_shared) | m_main_v_CMD(s1, c_write_h_invalid) | m_main_v_CMD(s1, c_read_h_owned) | m_main_v_CMD(s1, c_read_h_shared) | m_main_v_CMD(s1, c_idle))) <=> ((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | (m_main_v_CMD(s1, c_idle) | m_main_v_CMD(s1, c_response) | m_main_v_CMD(s1, c_invalidate) | m_main_v_CMD(s1, c_write_h_resp_h_shared) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | m_main_v_CMD(s1, c_write_h_shared) | m_main_v_CMD(s1, c_write_h_invalid) | m_main_v_CMD(s1, c_read_h_owned) | m_main_v_CMD(s1, c_read_h_shared)))),
% 49.18/31.82 inference(monotonicity,[status(thm)],[3615])).
% 49.18/31.82 tff(3617,plain,
% 49.18/31.82 (((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | (m_main_v_CMD(s1, c_response) | m_main_v_CMD(s1, c_invalidate) | m_main_v_CMD(s1, c_write_h_resp_h_shared) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | m_main_v_CMD(s1, c_write_h_shared) | m_main_v_CMD(s1, c_write_h_invalid) | m_main_v_CMD(s1, c_read_h_owned) | m_main_v_CMD(s1, c_read_h_shared) | m_main_v_CMD(s1, c_idle))) <=> ((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | m_main_v_CMD(s1, c_idle) | m_main_v_CMD(s1, c_response) | m_main_v_CMD(s1, c_invalidate) | m_main_v_CMD(s1, c_write_h_resp_h_shared) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | m_main_v_CMD(s1, c_write_h_shared) | m_main_v_CMD(s1, c_write_h_invalid) | m_main_v_CMD(s1, c_read_h_owned) | m_main_v_CMD(s1, c_read_h_shared))),
% 49.18/31.82 inference(transitivity,[status(thm)],[3616, 3614])).
% 49.18/31.82 tff(3618,plain,
% 49.18/31.82 ((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | (m_main_v_CMD(s1, c_response) | m_main_v_CMD(s1, c_invalidate) | m_main_v_CMD(s1, c_write_h_resp_h_shared) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | m_main_v_CMD(s1, c_write_h_shared) | m_main_v_CMD(s1, c_write_h_invalid) | m_main_v_CMD(s1, c_read_h_owned) | m_main_v_CMD(s1, c_read_h_shared) | m_main_v_CMD(s1, c_idle))),
% 49.18/31.82 inference(quant_inst,[status(thm)],[])).
% 49.18/31.82 tff(3619,plain,
% 49.18/31.82 ((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | m_main_v_CMD(s1, c_idle) | m_main_v_CMD(s1, c_response) | m_main_v_CMD(s1, c_invalidate) | m_main_v_CMD(s1, c_write_h_resp_h_shared) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | m_main_v_CMD(s1, c_write_h_shared) | m_main_v_CMD(s1, c_write_h_invalid) | m_main_v_CMD(s1, c_read_h_owned) | m_main_v_CMD(s1, c_read_h_shared)),
% 49.18/31.82 inference(modus_ponens,[status(thm)],[3618, 3617])).
% 49.18/31.82 tff(3620,plain,
% 49.18/31.82 (m_main_v_CMD(s1, c_idle) | m_main_v_CMD(s1, c_response) | m_main_v_CMD(s1, c_invalidate) | m_main_v_CMD(s1, c_write_h_resp_h_shared) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | m_main_v_CMD(s1, c_write_h_shared) | m_main_v_CMD(s1, c_write_h_invalid) | m_main_v_CMD(s1, c_read_h_owned)),
% 49.18/31.82 inference(unit_resolution,[status(thm)],[3619, 3613, 3300])).
% 49.18/31.82 tff(3621,plain,
% 49.18/31.82 ($false),
% 49.18/31.82 inference(unit_resolution,[status(thm)],[3620, 3603, 3585, 3376, 3567, 3566, 3558, 3537, 3519])).
% 49.18/31.82 tff(3622,plain,(m_processor_v_cmd(c_p1, s1, c_idle) | m_main_v_CMD(s1, c_read_h_owned) | m_main_v_CMD(s1, c_write_h_invalid) | m_main_v_CMD(s1, c_read_h_shared) | (~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_master(c_p1, s1)) | (~m_processor_v_cmd(c_p0, s1, c_idle))), inference(lemma,lemma(discharge,[]))).
% 49.18/31.82 tff(3623,plain,
% 49.18/31.82 (m_main_v_CMD(s1, c_write_h_invalid)),
% 49.18/31.82 inference(unit_resolution,[status(thm)],[3622, 3301, 3104, 3300, 3376, 3336, 3375])).
% 49.18/31.82 tff(3624,plain,
% 49.18/31.82 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid))) <=> ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid))))),
% 49.18/31.82 inference(bind,[status(th)],[])).
% 49.18/31.82 tff(3625,plain,
% 49.18/31.82 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))),
% 49.18/31.82 inference(quant_intro,[status(thm)],[3624])).
% 49.18/31.82 tff(3626,plain,
% 49.18/31.82 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))),
% 49.18/31.82 inference(rewrite,[status(thm)],[])).
% 49.18/31.82 tff(3627,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_4')).
% 49.18/31.82 tff(3628,plain,
% 49.18/31.82 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))),
% 49.18/31.82 inference(modus_ponens,[status(thm)],[3627, 3626])).
% 49.18/31.82 tff(3629,plain,(
% 49.18/31.82 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))),
% 49.18/31.82 inference(skolemize,[status(sab)],[3628])).
% 49.18/31.82 tff(3630,plain,
% 49.18/31.82 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))),
% 49.18/31.82 inference(modus_ponens,[status(thm)],[3629, 3625])).
% 49.18/31.82 tff(3631,plain,
% 49.18/31.82 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)))),
% 49.18/31.82 inference(rewrite,[status(thm)],[])).
% 49.18/31.82 tff(3632,plain,
% 49.18/31.82 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)))),
% 49.18/31.82 inference(quant_inst,[status(thm)],[])).
% 49.18/31.82 tff(3633,plain,
% 49.18/31.82 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid))),
% 49.18/31.82 inference(modus_ponens,[status(thm)],[3632, 3631])).
% 49.18/31.82 tff(3634,plain,
% 49.18/31.82 (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)),
% 49.18/31.82 inference(unit_resolution,[status(thm)],[3633, 3630, 3375])).
% 49.18/31.82 tff(3635,plain,
% 49.18/31.82 (^[V: $i, X: $i] : refl(((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X))) <=> ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X))))),
% 49.18/31.82 inference(bind,[status(th)],[])).
% 49.18/31.82 tff(3636,plain,
% 49.18/31.82 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X))) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))),
% 49.18/31.82 inference(quant_intro,[status(thm)],[3635])).
% 49.18/31.82 tff(3637,plain,
% 49.18/31.82 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X))) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))),
% 49.18/31.82 inference(rewrite,[status(thm)],[])).
% 49.18/31.82 tff(3638,plain,
% 49.18/31.82 (^[V: $i, X: $i] : rewrite((((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V)) | (~node12(X))) <=> ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X))))),
% 49.18/31.82 inference(bind,[status(th)],[])).
% 49.18/31.82 tff(3639,plain,
% 49.18/31.82 (![V: $i, X: $i] : (((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V)) | (~node12(X))) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))),
% 49.18/31.82 inference(quant_intro,[status(thm)],[3638])).
% 49.18/31.82 tff(3640,axiom,(![V: $i, X: $i] : (((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_101')).
% 49.18/31.82 tff(3641,plain,
% 49.18/31.82 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))),
% 49.18/31.82 inference(modus_ponens,[status(thm)],[3640, 3639])).
% 49.18/31.82 tff(3642,plain,
% 49.18/31.82 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))),
% 49.18/31.82 inference(modus_ponens,[status(thm)],[3641, 3637])).
% 49.18/31.82 tff(3643,plain,(
% 49.18/31.82 ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))),
% 49.18/31.82 inference(skolemize,[status(sab)],[3642])).
% 49.18/31.82 tff(3644,plain,
% 49.18/31.82 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))),
% 49.18/31.82 inference(modus_ponens,[status(thm)],[3643, 3636])).
% 49.18/31.82 tff(3645,plain,
% 49.18/31.82 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s1, c_write_h_invalid) | (~node12(s1)) | (~m_main_v_CMD(s1, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s1, c_write_h_invalid) | (~node12(s1)) | (~m_main_v_CMD(s1, c_write_h_invalid)))),
% 49.18/31.82 inference(rewrite,[status(thm)],[])).
% 49.18/31.82 tff(3646,plain,
% 49.18/31.82 (((~m_main_v_CMD(s1, c_write_h_invalid)) | m_processor_v_cmd(c_p0, s1, c_write_h_invalid) | (~node12(s1))) <=> (m_processor_v_cmd(c_p0, s1, c_write_h_invalid) | (~node12(s1)) | (~m_main_v_CMD(s1, c_write_h_invalid)))),
% 49.18/31.82 inference(rewrite,[status(thm)],[])).
% 49.18/31.82 tff(3647,plain,
% 49.18/31.82 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s1, c_write_h_invalid)) | m_processor_v_cmd(c_p0, s1, c_write_h_invalid) | (~node12(s1)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s1, c_write_h_invalid) | (~node12(s1)) | (~m_main_v_CMD(s1, c_write_h_invalid))))),
% 49.18/31.82 inference(monotonicity,[status(thm)],[3646])).
% 49.18/31.82 tff(3648,plain,
% 49.18/31.82 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s1, c_write_h_invalid)) | m_processor_v_cmd(c_p0, s1, c_write_h_invalid) | (~node12(s1)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s1, c_write_h_invalid) | (~node12(s1)) | (~m_main_v_CMD(s1, c_write_h_invalid)))),
% 49.18/31.82 inference(transitivity,[status(thm)],[3647, 3645])).
% 49.18/31.82 tff(3649,plain,
% 49.18/31.82 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s1, c_write_h_invalid)) | m_processor_v_cmd(c_p0, s1, c_write_h_invalid) | (~node12(s1)))),
% 49.18/31.82 inference(quant_inst,[status(thm)],[])).
% 49.18/31.82 tff(3650,plain,
% 49.18/31.82 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s1, c_write_h_invalid) | (~node12(s1)) | (~m_main_v_CMD(s1, c_write_h_invalid))),
% 49.18/31.82 inference(modus_ponens,[status(thm)],[3649, 3648])).
% 49.18/31.82 tff(3651,plain,
% 49.18/31.82 ((~node12(s1)) | (~m_main_v_CMD(s1, c_write_h_invalid))),
% 49.18/31.82 inference(unit_resolution,[status(thm)],[3650, 3644, 3634])).
% 49.18/31.82 tff(3652,plain,
% 49.18/31.82 (~node12(s1)),
% 49.18/31.82 inference(unit_resolution,[status(thm)],[3651, 3623])).
% 49.18/31.82 tff(3653,assumption,(~node12(s1)), introduced(assumption)).
% 49.18/31.82 tff(3654,assumption,(~node11(s1)), introduced(assumption)).
% 49.18/31.82 tff(3655,plain,
% 49.18/31.82 (((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | ((~node9(s1)) | m_processor_v_cmd(c_p2, s1, c_idle))) <=> ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | (~node9(s1)) | m_processor_v_cmd(c_p2, s1, c_idle))),
% 49.18/31.82 inference(rewrite,[status(thm)],[])).
% 49.18/31.82 tff(3656,plain,
% 49.18/31.82 ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | ((~node9(s1)) | m_processor_v_cmd(c_p2, s1, c_idle))),
% 49.18/31.82 inference(quant_inst,[status(thm)],[])).
% 49.18/31.82 tff(3657,plain,
% 49.18/31.82 ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | (~node9(s1)) | m_processor_v_cmd(c_p2, s1, c_idle)),
% 49.18/31.82 inference(modus_ponens,[status(thm)],[3656, 3655])).
% 49.18/31.82 tff(3658,plain,
% 49.18/31.82 (~node9(s1)),
% 49.18/31.82 inference(unit_resolution,[status(thm)],[3657, 2146, 3422])).
% 49.18/31.82 tff(3659,plain,
% 49.18/31.82 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s1) | node11(s1) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle)) | node12(s1))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s1) | node11(s1) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle)) | node12(s1))),
% 49.18/31.82 inference(rewrite,[status(thm)],[])).
% 49.18/31.82 tff(3660,plain,
% 49.18/31.82 ((node9(s1) | node11(s1) | node12(s1) | (~m_memory_v_cmd(c_m, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle))) <=> (node9(s1) | node11(s1) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle)) | node12(s1))),
% 49.18/31.82 inference(rewrite,[status(thm)],[])).
% 49.18/31.82 tff(3661,plain,
% 49.18/31.82 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s1) | node11(s1) | node12(s1) | (~m_memory_v_cmd(c_m, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s1) | node11(s1) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle)) | node12(s1)))),
% 49.18/31.82 inference(monotonicity,[status(thm)],[3660])).
% 49.18/31.82 tff(3662,plain,
% 49.18/31.82 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s1) | node11(s1) | node12(s1) | (~m_memory_v_cmd(c_m, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s1) | node11(s1) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle)) | node12(s1))),
% 49.18/31.82 inference(transitivity,[status(thm)],[3661, 3659])).
% 49.18/31.82 tff(3663,plain,
% 49.18/31.82 ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s1) | node11(s1) | node12(s1) | (~m_memory_v_cmd(c_m, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)))),
% 49.18/31.82 inference(quant_inst,[status(thm)],[])).
% 49.18/31.82 tff(3664,plain,
% 49.18/31.82 ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s1) | node11(s1) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle)) | node12(s1)),
% 49.18/31.82 inference(modus_ponens,[status(thm)],[3663, 3662])).
% 49.18/31.82 tff(3665,plain,
% 49.18/31.82 (node9(s1) | node11(s1) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle)) | node12(s1)),
% 49.18/31.82 inference(unit_resolution,[status(thm)],[3664, 2171, 3375])).
% 49.18/31.82 tff(3666,plain,
% 49.18/31.82 (~m_memory_v_cmd(c_m, s1, c_idle)),
% 49.18/31.82 inference(unit_resolution,[status(thm)],[3665, 3658, 3653, 3654, 3182])).
% 49.18/31.82 tff(3667,plain,
% 49.18/31.82 (node29(c_m, s1)),
% 49.18/31.82 inference(unit_resolution,[status(thm)],[3371, 1320, 3666])).
% 49.18/31.82 tff(3668,plain,
% 49.18/31.82 (m_memory_v_master(c_m, s1)),
% 49.18/31.82 inference(unit_resolution,[status(thm)],[3365, 3667])).
% 49.18/31.82 tff(3669,plain,
% 49.18/31.82 (node17(s1)),
% 49.18/31.82 inference(unit_resolution,[status(thm)],[3357, 3668])).
% 49.18/31.82 tff(3670,assumption,(m_processor_v_master(c_p2, s1)), introduced(assumption)).
% 49.18/31.82 tff(3671,plain,
% 49.18/31.82 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~node17(s1)) | (~m_processor_v_master(c_p2, s1)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s1)) | (~m_processor_v_master(c_p2, s1)))),
% 49.18/31.82 inference(rewrite,[status(thm)],[])).
% 49.18/31.82 tff(3672,plain,
% 49.18/31.82 (((~m_processor_v_master(c_p2, s1)) | (~node17(s1))) <=> ((~node17(s1)) | (~m_processor_v_master(c_p2, s1)))),
% 49.18/31.82 inference(rewrite,[status(thm)],[])).
% 49.18/31.82 tff(3673,plain,
% 49.18/31.82 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s1)) | (~node17(s1)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~node17(s1)) | (~m_processor_v_master(c_p2, s1))))),
% 49.18/31.82 inference(monotonicity,[status(thm)],[3672])).
% 49.18/31.82 tff(3674,plain,
% 49.18/31.82 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s1)) | (~node17(s1)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s1)) | (~m_processor_v_master(c_p2, s1)))),
% 49.18/31.82 inference(transitivity,[status(thm)],[3673, 3671])).
% 49.18/31.82 tff(3675,plain,
% 49.18/31.82 ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s1)) | (~node17(s1)))),
% 49.18/31.82 inference(quant_inst,[status(thm)],[])).
% 49.18/31.82 tff(3676,plain,
% 49.18/31.82 ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s1)) | (~m_processor_v_master(c_p2, s1))),
% 49.18/31.82 inference(modus_ponens,[status(thm)],[3675, 3674])).
% 49.18/31.82 tff(3677,plain,
% 49.18/31.82 ($false),
% 49.18/31.82 inference(unit_resolution,[status(thm)],[3676, 2106, 3670, 3337])).
% 49.18/31.82 tff(3678,plain,((~m_processor_v_master(c_p2, s1)) | (~node17(s1))), inference(lemma,lemma(discharge,[]))).
% 49.18/31.82 tff(3679,plain,
% 49.18/31.82 (~m_processor_v_master(c_p2, s1)),
% 49.18/31.82 inference(unit_resolution,[status(thm)],[3678, 3669])).
% 49.18/31.82 tff(3680,plain,
% 49.18/31.82 (node64(c_p2, s1)),
% 49.18/31.82 inference(unit_resolution,[status(thm)],[3435, 3679, 3422])).
% 49.18/31.82 tff(3681,plain,
% 49.18/31.82 ($false),
% 49.18/31.82 inference(unit_resolution,[status(thm)],[3397, 1482, 3680, 3679])).
% 49.18/31.82 tff(3682,plain,(m_processor_v_cmd(c_p2, s1, c_idle) | node12(s1) | node11(s1) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle))), inference(lemma,lemma(discharge,[]))).
% 49.18/31.82 tff(3683,plain,
% 49.18/31.82 (node11(s1)),
% 49.18/31.82 inference(unit_resolution,[status(thm)],[3682, 3422, 3375, 3182, 3653])).
% 49.18/31.83 tff(3684,plain,
% 49.18/31.83 (((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (m_processor_v_cmd(c_p2, s1, c_idle) | (~node11(s1)))) <=> ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | m_processor_v_cmd(c_p2, s1, c_idle) | (~node11(s1)))),
% 49.18/31.83 inference(rewrite,[status(thm)],[])).
% 49.18/31.83 tff(3685,plain,
% 49.18/31.83 ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (m_processor_v_cmd(c_p2, s1, c_idle) | (~node11(s1)))),
% 49.18/31.83 inference(quant_inst,[status(thm)],[])).
% 49.18/31.83 tff(3686,plain,
% 49.18/31.83 ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | m_processor_v_cmd(c_p2, s1, c_idle) | (~node11(s1))),
% 49.18/31.83 inference(modus_ponens,[status(thm)],[3685, 3684])).
% 49.18/31.83 tff(3687,plain,
% 49.18/31.83 ($false),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3686, 2157, 3422, 3683])).
% 49.18/31.83 tff(3688,plain,(m_processor_v_cmd(c_p2, s1, c_idle) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | node12(s1)), inference(lemma,lemma(discharge,[]))).
% 49.18/31.83 tff(3689,plain,
% 49.18/31.83 (~m_processor_v_cmd(c_p1, s1, c_idle)),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3688, 3422, 3653, 3375])).
% 49.18/31.83 tff(3690,plain,
% 49.18/31.83 (m_processor_v_master(c_p1, s1)),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3335, 3689])).
% 49.18/31.83 tff(3691,plain,
% 49.18/31.83 (~node16(s1)),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3389, 3386, 3690])).
% 49.18/31.83 tff(3692,plain,
% 49.18/31.83 (~m_processor_v_master(c_p2, s1)),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3393, 1545, 3691])).
% 49.18/31.83 tff(3693,plain,
% 49.18/31.83 (node64(c_p2, s1)),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3435, 3692, 3422])).
% 49.18/31.83 tff(3694,plain,
% 49.18/31.83 ($false),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3397, 1482, 3692, 3693])).
% 49.18/31.83 tff(3695,plain,(m_processor_v_cmd(c_p2, s1, c_idle) | node12(s1) | (~m_processor_v_cmd(c_p0, s1, c_idle))), inference(lemma,lemma(discharge,[]))).
% 49.18/31.83 tff(3696,plain,
% 49.18/31.83 (m_processor_v_cmd(c_p2, s1, c_idle)),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3695, 3652, 3375])).
% 49.18/31.83 tff(3697,plain,
% 49.18/31.83 (node9(s1) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle)) | node10(s1)),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3467, 3461, 3375])).
% 49.18/31.83 tff(3698,plain,
% 49.18/31.83 (node10(s1)),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3697, 3447, 3696, 3374])).
% 49.18/31.83 tff(3699,plain,
% 49.18/31.83 (~m_processor_v_cmd(c_p1, s1, c_read_h_shared)),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3489, 3698, 3300])).
% 49.18/31.83 tff(3700,plain,
% 49.18/31.83 (m_processor_v_cmd(c_p1, s1, c_read_h_owned) | m_processor_v_cmd(c_p1, s1, c_read_h_shared)),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3211, 1835, 3104, 3336])).
% 49.18/31.83 tff(3701,plain,
% 49.18/31.83 (m_processor_v_cmd(c_p1, s1, c_read_h_owned)),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3700, 3699])).
% 49.18/31.83 tff(3702,plain,
% 49.18/31.83 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (m_processor_v_cmd(c_p1, s1, c_write_h_invalid) | (~node10(s1)) | (~m_main_v_CMD(s1, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s1, c_write_h_invalid) | (~node10(s1)) | (~m_main_v_CMD(s1, c_write_h_invalid)))),
% 49.18/31.83 inference(rewrite,[status(thm)],[])).
% 49.18/31.83 tff(3703,plain,
% 49.18/31.83 (((~m_main_v_CMD(s1, c_write_h_invalid)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_write_h_invalid)) <=> (m_processor_v_cmd(c_p1, s1, c_write_h_invalid) | (~node10(s1)) | (~m_main_v_CMD(s1, c_write_h_invalid)))),
% 49.18/31.83 inference(rewrite,[status(thm)],[])).
% 49.18/31.83 tff(3704,plain,
% 49.18/31.83 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_write_h_invalid)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (m_processor_v_cmd(c_p1, s1, c_write_h_invalid) | (~node10(s1)) | (~m_main_v_CMD(s1, c_write_h_invalid))))),
% 49.18/31.83 inference(monotonicity,[status(thm)],[3703])).
% 49.18/31.83 tff(3705,plain,
% 49.18/31.83 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_write_h_invalid)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s1, c_write_h_invalid) | (~node10(s1)) | (~m_main_v_CMD(s1, c_write_h_invalid)))),
% 49.18/31.83 inference(transitivity,[status(thm)],[3704, 3702])).
% 49.18/31.83 tff(3706,plain,
% 49.18/31.83 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_write_h_invalid)) | (~node10(s1)) | m_processor_v_cmd(c_p1, s1, c_write_h_invalid))),
% 49.18/31.83 inference(quant_inst,[status(thm)],[])).
% 49.18/31.83 tff(3707,plain,
% 49.18/31.83 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s1, c_write_h_invalid) | (~node10(s1)) | (~m_main_v_CMD(s1, c_write_h_invalid))),
% 49.18/31.83 inference(modus_ponens,[status(thm)],[3706, 3705])).
% 49.18/31.83 tff(3708,plain,
% 49.18/31.83 (m_processor_v_cmd(c_p1, s1, c_write_h_invalid) | (~node10(s1))),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3707, 3512, 3623])).
% 49.18/31.83 tff(3709,plain,
% 49.18/31.83 (m_processor_v_cmd(c_p1, s1, c_write_h_invalid)),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3708, 3698])).
% 49.18/31.83 tff(3710,plain,
% 49.18/31.83 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid))) <=> ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid))))),
% 49.18/31.83 inference(bind,[status(th)],[])).
% 49.18/31.83 tff(3711,plain,
% 49.18/31.83 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))),
% 49.18/31.83 inference(quant_intro,[status(thm)],[3710])).
% 49.18/31.83 tff(3712,plain,
% 49.18/31.83 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))),
% 49.18/31.83 inference(rewrite,[status(thm)],[])).
% 49.18/31.83 tff(3713,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_17')).
% 49.18/31.83 tff(3714,plain,
% 49.18/31.83 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))),
% 49.18/31.83 inference(modus_ponens,[status(thm)],[3713, 3712])).
% 49.18/31.83 tff(3715,plain,(
% 49.18/31.83 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))),
% 49.18/31.83 inference(skolemize,[status(sab)],[3714])).
% 49.18/31.83 tff(3716,plain,
% 49.18/31.83 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))),
% 49.18/31.83 inference(modus_ponens,[status(thm)],[3715, 3711])).
% 49.18/31.83 tff(3717,plain,
% 49.18/31.83 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_invalid)))),
% 49.18/31.83 inference(rewrite,[status(thm)],[])).
% 49.18/31.83 tff(3718,plain,
% 49.18/31.83 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_invalid)))),
% 49.18/31.83 inference(quant_inst,[status(thm)],[])).
% 49.18/31.83 tff(3719,plain,
% 49.18/31.83 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p1, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s1, c_write_h_invalid))),
% 49.18/31.83 inference(modus_ponens,[status(thm)],[3718, 3717])).
% 49.18/31.83 tff(3720,plain,
% 49.18/31.83 ($false),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3719, 3716, 3709, 3701])).
% 49.18/31.83 tff(3721,plain,(m_processor_v_cmd(c_p1, s1, c_idle) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_main_v_CMD(s1, c_read_h_shared) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | m_main_v_CMD(s1, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.18/31.83 tff(3722,plain,
% 49.18/31.83 (m_main_v_CMD(s1, c_read_h_owned)),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3721, 3299, 3104, 3254, 3215])).
% 49.18/31.83 tff(3723,assumption,(~m_processor_v_CMD(c_p1, s1, c_read_h_owned)), introduced(assumption)).
% 49.18/31.83 tff(3724,assumption,(m_main_v_CMD(s1, c_read_h_owned)), introduced(assumption)).
% 49.18/31.83 tff(3725,plain,
% 49.18/31.83 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned)) | (~node3(s1)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned)) | (~node3(s1)))),
% 49.18/31.83 inference(rewrite,[status(thm)],[])).
% 49.18/31.83 tff(3726,plain,
% 49.18/31.83 (((~m_main_v_CMD(s1, c_read_h_owned)) | (~node3(s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_owned)) <=> (m_processor_v_CMD(c_p1, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned)) | (~node3(s1)))),
% 49.18/31.83 inference(rewrite,[status(thm)],[])).
% 49.18/31.83 tff(3727,plain,
% 49.18/31.83 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_read_h_owned)) | (~node3(s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned)) | (~node3(s1))))),
% 49.18/31.83 inference(monotonicity,[status(thm)],[3726])).
% 49.18/31.83 tff(3728,plain,
% 49.18/31.83 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_read_h_owned)) | (~node3(s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned)) | (~node3(s1)))),
% 49.18/31.83 inference(transitivity,[status(thm)],[3727, 3725])).
% 49.18/31.83 tff(3729,plain,
% 49.18/31.83 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s1, c_read_h_owned)) | (~node3(s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_owned))),
% 49.18/31.83 inference(quant_inst,[status(thm)],[])).
% 49.18/31.83 tff(3730,plain,
% 49.18/31.83 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned)) | (~node3(s1))),
% 49.18/31.83 inference(modus_ponens,[status(thm)],[3729, 3728])).
% 49.18/31.83 tff(3731,plain,
% 49.18/31.83 ($false),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3730, 1945, 3245, 3724, 3723])).
% 49.18/31.83 tff(3732,plain,(m_processor_v_CMD(c_p1, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 49.18/31.83 tff(3733,plain,
% 49.18/31.83 (m_processor_v_CMD(c_p1, s1, c_read_h_owned)),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3732, 3722])).
% 49.18/31.83 tff(3734,plain,
% 49.18/31.83 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~node59(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~node59(c_p1, s1)))),
% 49.18/31.83 inference(rewrite,[status(thm)],[])).
% 49.18/31.83 tff(3735,plain,
% 49.18/31.83 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~node59(c_p1, s1)))),
% 49.18/31.83 inference(quant_inst,[status(thm)],[])).
% 49.18/31.83 tff(3736,plain,
% 49.18/31.83 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~node59(c_p1, s1))),
% 49.18/31.83 inference(modus_ponens,[status(thm)],[3735, 3734])).
% 49.18/31.83 tff(3737,plain,
% 49.18/31.83 (~node59(c_p1, s1)),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3736, 707, 3733])).
% 49.18/31.83 tff(3738,plain,
% 49.18/31.83 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p0, s1)) | m_processor_v_master(c_p0, s1) | m_processor_v_reply_h_waiting(c_p0, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s1)) | m_processor_v_master(c_p0, s1) | m_processor_v_reply_h_waiting(c_p0, s1))),
% 49.18/31.83 inference(rewrite,[status(thm)],[])).
% 49.18/31.83 tff(3739,plain,
% 49.18/31.83 ((m_processor_v_master(c_p0, s1) | (~m_processor_v_waiting(c_p0, s1)) | m_processor_v_reply_h_waiting(c_p0, s1)) <=> ((~m_processor_v_waiting(c_p0, s1)) | m_processor_v_master(c_p0, s1) | m_processor_v_reply_h_waiting(c_p0, s1))),
% 49.18/31.83 inference(rewrite,[status(thm)],[])).
% 49.18/31.83 tff(3740,plain,
% 49.18/31.83 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s1) | (~m_processor_v_waiting(c_p0, s1)) | m_processor_v_reply_h_waiting(c_p0, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p0, s1)) | m_processor_v_master(c_p0, s1) | m_processor_v_reply_h_waiting(c_p0, s1)))),
% 49.18/31.83 inference(monotonicity,[status(thm)],[3739])).
% 49.18/31.83 tff(3741,plain,
% 49.18/31.83 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s1) | (~m_processor_v_waiting(c_p0, s1)) | m_processor_v_reply_h_waiting(c_p0, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s1)) | m_processor_v_master(c_p0, s1) | m_processor_v_reply_h_waiting(c_p0, s1))),
% 49.18/31.83 inference(transitivity,[status(thm)],[3740, 3738])).
% 49.18/31.83 tff(3742,plain,
% 49.18/31.83 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s1) | (~m_processor_v_waiting(c_p0, s1)) | m_processor_v_reply_h_waiting(c_p0, s1))),
% 49.18/31.83 inference(quant_inst,[status(thm)],[])).
% 49.18/31.83 tff(3743,plain,
% 49.18/31.83 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s1)) | m_processor_v_master(c_p0, s1) | m_processor_v_reply_h_waiting(c_p0, s1)),
% 49.18/31.83 inference(modus_ponens,[status(thm)],[3742, 3741])).
% 49.18/31.83 tff(3744,plain,
% 49.18/31.83 (m_processor_v_master(c_p0, s1) | m_processor_v_reply_h_waiting(c_p0, s1)),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3743, 2296, 3109])).
% 49.18/31.83 tff(3745,plain,
% 49.18/31.83 (m_processor_v_reply_h_waiting(c_p0, s1)),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3744, 3258])).
% 49.18/31.83 tff(3746,assumption,(m_processor_v_reply_h_waiting(c_p0, s1)), introduced(assumption)).
% 49.18/31.83 tff(3747,assumption,(node6(s1)), introduced(assumption)).
% 49.18/31.83 tff(3748,plain,
% 49.18/31.83 (((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | ((~node6(s1)) | (~m_processor_v_reply_h_waiting(c_p0, s1)))) <=> ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | (~node6(s1)) | (~m_processor_v_reply_h_waiting(c_p0, s1)))),
% 49.18/31.83 inference(rewrite,[status(thm)],[])).
% 49.18/31.83 tff(3749,plain,
% 49.18/31.83 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | ((~node6(s1)) | (~m_processor_v_reply_h_waiting(c_p0, s1)))),
% 49.18/31.83 inference(quant_inst,[status(thm)],[])).
% 49.18/31.83 tff(3750,plain,
% 49.18/31.83 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | (~node6(s1)) | (~m_processor_v_reply_h_waiting(c_p0, s1))),
% 49.18/31.83 inference(modus_ponens,[status(thm)],[3749, 3748])).
% 49.18/31.83 tff(3751,plain,
% 49.18/31.83 ($false),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3750, 778, 3747, 3746])).
% 49.18/31.83 tff(3752,plain,((~m_processor_v_reply_h_waiting(c_p0, s1)) | (~node6(s1))), inference(lemma,lemma(discharge,[]))).
% 49.18/31.83 tff(3753,plain,
% 49.18/31.83 (~node6(s1)),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3752, 3745])).
% 49.18/31.83 tff(3754,assumption,(~node6(s1)), introduced(assumption)).
% 49.18/31.83 tff(3755,assumption,(~m_main_v_REPLY_h_WAITING(s1)), introduced(assumption)).
% 49.18/31.83 tff(3756,plain,
% 49.18/31.83 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | (m_main_v_REPLY_h_WAITING(s1) | node6(s1))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | m_main_v_REPLY_h_WAITING(s1) | node6(s1))),
% 49.18/31.83 inference(rewrite,[status(thm)],[])).
% 49.18/31.83 tff(3757,plain,
% 49.18/31.83 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | (m_main_v_REPLY_h_WAITING(s1) | node6(s1))),
% 49.18/31.83 inference(quant_inst,[status(thm)],[])).
% 49.18/31.83 tff(3758,plain,
% 49.18/31.83 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | m_main_v_REPLY_h_WAITING(s1) | node6(s1)),
% 49.18/31.83 inference(modus_ponens,[status(thm)],[3757, 3756])).
% 49.18/31.83 tff(3759,plain,
% 49.18/31.83 ($false),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3758, 760, 3755, 3754])).
% 49.18/31.83 tff(3760,plain,(m_main_v_REPLY_h_WAITING(s1) | node6(s1)), inference(lemma,lemma(discharge,[]))).
% 49.18/31.83 tff(3761,plain,
% 49.18/31.83 (m_main_v_REPLY_h_WAITING(s1)),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3760, 3753])).
% 49.18/31.83 tff(3762,assumption,(~m_processor_v_REPLY_h_WAITING(c_p1, s1)), introduced(assumption)).
% 49.18/31.83 tff(3763,assumption,(m_main_v_REPLY_h_WAITING(s1)), introduced(assumption)).
% 49.18/31.83 tff(3764,plain,
% 49.18/31.83 (((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | ((~m_main_v_REPLY_h_WAITING(s1)) | m_processor_v_REPLY_h_WAITING(c_p1, s1))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | (~m_main_v_REPLY_h_WAITING(s1)) | m_processor_v_REPLY_h_WAITING(c_p1, s1))),
% 49.18/31.83 inference(rewrite,[status(thm)],[])).
% 49.18/31.83 tff(3765,plain,
% 49.18/31.83 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | ((~m_main_v_REPLY_h_WAITING(s1)) | m_processor_v_REPLY_h_WAITING(c_p1, s1))),
% 49.18/31.83 inference(quant_inst,[status(thm)],[])).
% 49.18/31.83 tff(3766,plain,
% 49.18/31.83 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | (~m_main_v_REPLY_h_WAITING(s1)) | m_processor_v_REPLY_h_WAITING(c_p1, s1)),
% 49.18/31.83 inference(modus_ponens,[status(thm)],[3765, 3764])).
% 49.18/31.83 tff(3767,plain,
% 49.18/31.83 ($false),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3766, 745, 3763, 3762])).
% 49.18/31.83 tff(3768,plain,(m_processor_v_REPLY_h_WAITING(c_p1, s1) | (~m_main_v_REPLY_h_WAITING(s1))), inference(lemma,lemma(discharge,[]))).
% 49.18/31.83 tff(3769,plain,
% 49.18/31.83 (m_processor_v_REPLY_h_WAITING(c_p1, s1)),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3768, 3761])).
% 49.18/31.83 tff(3770,plain,
% 49.18/31.83 (~node32(c_p1, s1, s2)),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3127, 2781, 3104])).
% 49.18/31.83 tff(3771,plain,
% 49.18/31.83 (~m_processor_v_abort(c_p1, s1)),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3145, 3770])).
% 49.18/31.83 tff(3772,assumption,(~node60(c_p1, s1)), introduced(assumption)).
% 49.18/31.83 tff(3773,assumption,(~m_processor_v_abort(c_p1, s1)), introduced(assumption)).
% 49.18/31.83 tff(3774,plain,
% 49.18/31.83 (((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p1, s1) | node60(c_p1, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p1, s1) | node60(c_p1, s1))),
% 49.18/31.83 inference(rewrite,[status(thm)],[])).
% 49.18/31.83 tff(3775,plain,
% 49.18/31.83 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p1, s1) | node60(c_p1, s1))),
% 49.18/31.83 inference(quant_inst,[status(thm)],[])).
% 49.18/31.83 tff(3776,plain,
% 49.18/31.83 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p1, s1) | node60(c_p1, s1)),
% 49.18/31.83 inference(modus_ponens,[status(thm)],[3775, 3774])).
% 49.18/31.83 tff(3777,plain,
% 49.18/31.83 ($false),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3776, 693, 3773, 3772])).
% 49.18/31.83 tff(3778,plain,(node60(c_p1, s1) | m_processor_v_abort(c_p1, s1)), inference(lemma,lemma(discharge,[]))).
% 49.18/31.83 tff(3779,plain,
% 49.18/31.83 (node60(c_p1, s1)),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3778, 3771])).
% 49.18/31.83 tff(3780,plain,
% 49.18/31.83 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p1, s1)) | node59(c_p1, s1) | (~node60(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s1)) | node59(c_p1, s1) | (~node60(c_p1, s1)))),
% 49.18/31.83 inference(rewrite,[status(thm)],[])).
% 49.18/31.83 tff(3781,plain,
% 49.18/31.83 ((node59(c_p1, s1) | (~node60(c_p1, s1)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s1))) <=> ((~m_processor_v_REPLY_h_WAITING(c_p1, s1)) | node59(c_p1, s1) | (~node60(c_p1, s1)))),
% 49.18/31.83 inference(rewrite,[status(thm)],[])).
% 49.18/31.83 tff(3782,plain,
% 49.18/31.83 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s1) | (~node60(c_p1, s1)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p1, s1)) | node59(c_p1, s1) | (~node60(c_p1, s1))))),
% 49.18/31.83 inference(monotonicity,[status(thm)],[3781])).
% 49.18/31.83 tff(3783,plain,
% 49.18/31.83 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s1) | (~node60(c_p1, s1)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s1)) | node59(c_p1, s1) | (~node60(c_p1, s1)))),
% 49.18/31.83 inference(transitivity,[status(thm)],[3782, 3780])).
% 49.18/31.83 tff(3784,plain,
% 49.18/31.83 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s1) | (~node60(c_p1, s1)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s1)))),
% 49.18/31.83 inference(quant_inst,[status(thm)],[])).
% 49.18/31.83 tff(3785,plain,
% 49.18/31.83 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s1)) | node59(c_p1, s1) | (~node60(c_p1, s1))),
% 49.18/31.83 inference(modus_ponens,[status(thm)],[3784, 3783])).
% 49.18/31.83 tff(3786,plain,
% 49.18/31.83 ($false),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3785, 724, 3779, 3769, 3737])).
% 49.18/31.83 tff(3787,plain,(m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_waiting(c_p0, s1)) | m_processor_v_state(c_p1, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.18/31.83 tff(3788,plain,
% 49.18/31.83 (m_processor_v_state(c_p1, s2, c_shared)),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3787, 2781, 3109, 3104])).
% 49.18/31.83 tff(3789,assumption,(~m_processor_v_state(c_p1, s1, c_shared)), introduced(assumption)).
% 49.18/31.83 tff(3790,assumption,(node36(c_p1, s1)), introduced(assumption)).
% 49.18/31.83 tff(3791,plain,
% 49.18/31.83 ($false),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3176, 167, 3789, 3790])).
% 49.18/31.83 tff(3792,plain,((~node36(c_p1, s1)) | m_processor_v_state(c_p1, s1, c_shared)), inference(lemma,lemma(discharge,[]))).
% 49.18/31.83 tff(3793,plain,
% 49.18/31.83 (~node36(c_p1, s1)),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3792, 3789])).
% 49.18/31.83 tff(3794,assumption,(m_processor_v_state(c_p1, s2, c_shared)), introduced(assumption)).
% 49.18/31.83 tff(3795,plain,
% 49.18/31.83 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s1, c_shared) | (~node37(c_p1, s1, s2)) | (~m_processor_v_state(c_p1, s2, c_shared)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s1, c_shared) | (~node37(c_p1, s1, s2)) | (~m_processor_v_state(c_p1, s2, c_shared)))),
% 49.18/31.83 inference(rewrite,[status(thm)],[])).
% 49.18/31.83 tff(3796,plain,
% 49.18/31.83 ((m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_state(c_p1, s2, c_shared)) | (~node37(c_p1, s1, s2))) <=> (m_processor_v_state(c_p1, s1, c_shared) | (~node37(c_p1, s1, s2)) | (~m_processor_v_state(c_p1, s2, c_shared)))),
% 49.18/31.83 inference(rewrite,[status(thm)],[])).
% 49.18/31.83 tff(3797,plain,
% 49.18/31.83 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_state(c_p1, s2, c_shared)) | (~node37(c_p1, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s1, c_shared) | (~node37(c_p1, s1, s2)) | (~m_processor_v_state(c_p1, s2, c_shared))))),
% 49.18/31.83 inference(monotonicity,[status(thm)],[3796])).
% 49.18/31.83 tff(3798,plain,
% 49.18/31.83 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_state(c_p1, s2, c_shared)) | (~node37(c_p1, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s1, c_shared) | (~node37(c_p1, s1, s2)) | (~m_processor_v_state(c_p1, s2, c_shared)))),
% 49.18/31.83 inference(transitivity,[status(thm)],[3797, 3795])).
% 49.18/31.83 tff(3799,plain,
% 49.18/31.83 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_state(c_p1, s2, c_shared)) | (~node37(c_p1, s1, s2)))),
% 49.18/31.83 inference(quant_inst,[status(thm)],[])).
% 49.18/31.83 tff(3800,plain,
% 49.18/31.83 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s1, c_shared) | (~node37(c_p1, s1, s2)) | (~m_processor_v_state(c_p1, s2, c_shared))),
% 49.18/31.83 inference(modus_ponens,[status(thm)],[3799, 3798])).
% 49.18/31.83 tff(3801,plain,
% 49.18/31.83 ($false),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3800, 182, 3789, 3156, 3794])).
% 49.18/31.83 tff(3802,plain,((~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s1, c_shared) | (~node37(c_p1, s1, s2))), inference(lemma,lemma(discharge,[]))).
% 49.18/31.83 tff(3803,plain,
% 49.18/31.83 (~node37(c_p1, s1, s2)),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3802, 3794, 3789])).
% 49.18/31.83 tff(3804,plain,
% 49.18/31.83 (m_processor_v_abort(c_p1, s1)),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3172, 3803, 3111, 3789, 3793])).
% 49.18/31.83 tff(3805,plain,
% 49.18/31.83 (node32(c_p1, s1, s2)),
% 49.18/31.83 inference(unit_resolution,[status(thm)],[3145, 3804])).
% 49.18/31.83 tff(3806,plain,
% 49.18/31.83 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_state(c_p1, s2, c_shared)) | (~node32(c_p1, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_state(c_p1, s2, c_shared)) | (~node32(c_p1, s1, s2)))),
% 49.18/31.83 inference(rewrite,[status(thm)],[])).
% 49.18/31.83 tff(3807,plain,
% 49.18/31.83 (((~node32(c_p1, s1, s2)) | m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_state(c_p1, s2, c_shared))) <=> (m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_state(c_p1, s2, c_shared)) | (~node32(c_p1, s1, s2)))),
% 49.18/31.83 inference(rewrite,[status(thm)],[])).
% 49.18/31.83 tff(3808,plain,
% 49.18/31.83 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p1, s1, s2)) | m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_state(c_p1, s2, c_shared)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_state(c_p1, s2, c_shared)) | (~node32(c_p1, s1, s2))))),
% 49.18/31.83 inference(monotonicity,[status(thm)],[3807])).
% 49.18/31.83 tff(3809,plain,
% 49.18/31.83 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p1, s1, s2)) | m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_state(c_p1, s2, c_shared)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_state(c_p1, s2, c_shared)) | (~node32(c_p1, s1, s2)))),
% 49.18/31.83 inference(transitivity,[status(thm)],[3808, 3806])).
% 49.18/31.83 tff(3810,plain,
% 49.18/31.83 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p1, s1, s2)) | m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_state(c_p1, s2, c_shared)))),
% 49.18/31.84 inference(quant_inst,[status(thm)],[])).
% 49.18/31.84 tff(3811,plain,
% 49.18/31.84 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_state(c_p1, s2, c_shared)) | (~node32(c_p1, s1, s2))),
% 49.18/31.84 inference(modus_ponens,[status(thm)],[3810, 3809])).
% 49.18/31.84 tff(3812,plain,
% 49.18/31.84 ($false),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3811, 261, 3789, 3794, 3805])).
% 49.18/31.84 tff(3813,plain,((~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_master(c_p1, s1)), inference(lemma,lemma(discharge,[]))).
% 49.18/31.84 tff(3814,plain,
% 49.18/31.84 (m_processor_v_master(c_p1, s1)),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3813, 3788, 3108])).
% 49.18/31.84 tff(3815,plain,
% 49.18/31.84 (~m_processor_v_cmd(c_p1, s1, c_idle)),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3214, 3814, 3104])).
% 49.18/31.84 tff(3816,plain,
% 49.18/31.84 (~m_processor_v_master(c_p0, s1)),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3257, 794, 3814])).
% 49.18/31.84 tff(3817,plain,
% 49.18/31.84 (m_processor_v_cmd(c_p0, s1, c_idle)),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3298, 3816])).
% 49.18/31.84 tff(3818,plain,
% 49.18/31.84 (m_processor_v_reply_h_waiting(c_p0, s1)),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3744, 3816])).
% 49.18/31.84 tff(3819,plain,
% 49.18/31.84 (~node6(s1)),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3752, 3818])).
% 49.18/31.84 tff(3820,plain,
% 49.18/31.84 (m_main_v_REPLY_h_WAITING(s1)),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3760, 3819])).
% 49.18/31.84 tff(3821,plain,
% 49.18/31.84 (m_processor_v_REPLY_h_WAITING(c_p1, s1)),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3768, 3820])).
% 49.18/31.84 tff(3822,assumption,(~node59(c_p1, s1)), introduced(assumption)).
% 49.18/31.84 tff(3823,assumption,(m_processor_v_REPLY_h_WAITING(c_p1, s1)), introduced(assumption)).
% 49.18/31.84 tff(3824,assumption,(node60(c_p1, s1)), introduced(assumption)).
% 49.18/31.84 tff(3825,plain,
% 49.18/31.84 ($false),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3785, 724, 3824, 3823, 3822])).
% 49.18/31.84 tff(3826,plain,(node59(c_p1, s1) | (~node60(c_p1, s1)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s1))), inference(lemma,lemma(discharge,[]))).
% 49.18/31.84 tff(3827,plain,
% 49.18/31.84 (node59(c_p1, s1)),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3826, 3779, 3821])).
% 49.18/31.84 tff(3828,plain,
% 49.18/31.84 (^[I0: $i, X: $i] : refl(((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X))) <=> ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X))))),
% 49.18/31.84 inference(bind,[status(th)],[])).
% 49.18/31.84 tff(3829,plain,
% 49.18/31.84 (![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))),
% 49.18/31.84 inference(quant_intro,[status(thm)],[3828])).
% 49.18/31.84 tff(3830,plain,
% 49.18/31.84 (![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))),
% 49.18/31.84 inference(rewrite,[status(thm)],[])).
% 49.18/31.84 tff(3831,axiom,(![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_134')).
% 49.18/31.84 tff(3832,plain,
% 49.18/31.84 (![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))),
% 49.18/31.84 inference(modus_ponens,[status(thm)],[3831, 3830])).
% 49.18/31.84 tff(3833,plain,(
% 49.18/31.84 ![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))),
% 49.18/31.84 inference(skolemize,[status(sab)],[3832])).
% 49.18/31.84 tff(3834,plain,
% 49.18/31.84 (![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))),
% 49.18/31.84 inference(modus_ponens,[status(thm)],[3833, 3829])).
% 49.18/31.84 tff(3835,plain,
% 49.18/31.84 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s1, c_read_h_shared)) | (~node59(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)) | (~node59(c_p1, s1)))),
% 49.18/31.84 inference(rewrite,[status(thm)],[])).
% 49.18/31.84 tff(3836,plain,
% 49.18/31.84 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s1, c_read_h_shared)) | (~node59(c_p1, s1)))),
% 49.18/31.84 inference(quant_inst,[status(thm)],[])).
% 49.18/31.84 tff(3837,plain,
% 49.18/31.84 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)) | (~node59(c_p1, s1))),
% 49.18/31.84 inference(modus_ponens,[status(thm)],[3836, 3835])).
% 49.18/31.84 tff(3838,plain,
% 49.18/31.84 (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3837, 3834, 3827])).
% 49.18/31.84 tff(3839,plain,
% 49.18/31.84 (~m_main_v_CMD(s1, c_read_h_shared)),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3253, 3838])).
% 49.18/31.84 tff(3840,plain,
% 49.18/31.84 (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3736, 707, 3827])).
% 49.18/31.84 tff(3841,plain,
% 49.18/31.84 (~m_main_v_CMD(s1, c_read_h_owned)),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3732, 3840])).
% 49.18/31.84 tff(3842,plain,
% 49.18/31.84 ($false),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3721, 3841, 3839, 3104, 3817, 3815])).
% 49.18/31.84 tff(3843,plain,(m_processor_v_state(c_p1, s2, c_invalid) | (~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_waiting(c_p0, s1))), inference(lemma,lemma(discharge,[]))).
% 49.18/31.84 tff(3844,plain,
% 49.18/31.84 ($false),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3843, 3103, 3055, 2781])).
% 49.18/31.84 tff(3845,plain,(m_processor_v_state(c_p0, s1, c_invalid) | m_processor_v_state(c_p1, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.18/31.84 tff(3846,plain,
% 49.18/31.84 (m_processor_v_state(c_p0, s1, c_invalid)),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3845, 2781])).
% 49.18/31.84 tff(3847,assumption,(~m_processor_v_state(c_p0, s2, c_invalid)), introduced(assumption)).
% 49.18/31.84 tff(3848,assumption,(node32(c_p0, s1, s2)), introduced(assumption)).
% 49.18/31.84 tff(3849,assumption,(m_processor_v_state(c_p0, s1, c_invalid)), introduced(assumption)).
% 49.18/31.84 tff(3850,plain,
% 49.18/31.84 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid) | (~node32(c_p0, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid) | (~node32(c_p0, s1, s2)))),
% 49.18/31.84 inference(rewrite,[status(thm)],[])).
% 49.18/31.84 tff(3851,plain,
% 49.18/31.84 (((~node32(c_p0, s1, s2)) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid)) <=> ((~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid) | (~node32(c_p0, s1, s2)))),
% 49.18/31.84 inference(rewrite,[status(thm)],[])).
% 49.18/31.84 tff(3852,plain,
% 49.18/31.84 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s1, s2)) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid) | (~node32(c_p0, s1, s2))))),
% 49.18/31.84 inference(monotonicity,[status(thm)],[3851])).
% 49.18/31.84 tff(3853,plain,
% 49.18/31.84 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s1, s2)) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid) | (~node32(c_p0, s1, s2)))),
% 49.18/31.84 inference(transitivity,[status(thm)],[3852, 3850])).
% 49.18/31.84 tff(3854,plain,
% 49.18/31.84 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s1, s2)) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid))),
% 49.18/31.84 inference(quant_inst,[status(thm)],[])).
% 49.18/31.84 tff(3855,plain,
% 49.18/31.84 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid) | (~node32(c_p0, s1, s2))),
% 49.18/31.84 inference(modus_ponens,[status(thm)],[3854, 3853])).
% 49.18/31.84 tff(3856,plain,
% 49.18/31.84 ($false),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3855, 380, 3849, 3847, 3848])).
% 49.18/31.84 tff(3857,plain,((~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid) | (~node32(c_p0, s1, s2))), inference(lemma,lemma(discharge,[]))).
% 49.18/31.84 tff(3858,plain,
% 49.18/31.84 (~node32(c_p0, s1, s2)),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3857, 3847, 3846])).
% 49.18/31.84 tff(3859,assumption,(~node38(c_p0, s1, s2)), introduced(assumption)).
% 49.18/31.84 tff(3860,plain,
% 49.18/31.84 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s1, s2)) | node38(c_p0, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s1, s2)) | node38(c_p0, s1, s2))),
% 49.18/31.84 inference(rewrite,[status(thm)],[])).
% 49.18/31.84 tff(3861,plain,
% 49.18/31.84 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s1, s2)) | node38(c_p0, s1, s2))),
% 49.18/31.84 inference(quant_inst,[status(thm)],[])).
% 49.18/31.84 tff(3862,plain,
% 49.18/31.84 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s1, s2)) | node38(c_p0, s1, s2)),
% 49.18/31.84 inference(modus_ponens,[status(thm)],[3861, 3860])).
% 49.18/31.84 tff(3863,plain,
% 49.18/31.84 ($false),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3862, 210, 3136, 3859])).
% 49.18/31.84 tff(3864,plain,(node38(c_p0, s1, s2)), inference(lemma,lemma(discharge,[]))).
% 49.18/31.84 tff(3865,plain,
% 49.18/31.84 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s1, s2) | (~m_processor_v_abort(c_p0, s1)) | (~node38(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s1, s2) | (~m_processor_v_abort(c_p0, s1)) | (~node38(c_p0, s1, s2)))),
% 49.18/31.84 inference(rewrite,[status(thm)],[])).
% 49.18/31.84 tff(3866,plain,
% 49.18/31.84 ((node32(c_p0, s1, s2) | (~node38(c_p0, s1, s2)) | (~m_processor_v_abort(c_p0, s1))) <=> (node32(c_p0, s1, s2) | (~m_processor_v_abort(c_p0, s1)) | (~node38(c_p0, s1, s2)))),
% 49.18/31.84 inference(rewrite,[status(thm)],[])).
% 49.18/31.84 tff(3867,plain,
% 49.18/31.84 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s1, s2) | (~node38(c_p0, s1, s2)) | (~m_processor_v_abort(c_p0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s1, s2) | (~m_processor_v_abort(c_p0, s1)) | (~node38(c_p0, s1, s2))))),
% 49.18/31.84 inference(monotonicity,[status(thm)],[3866])).
% 49.18/31.84 tff(3868,plain,
% 49.18/31.84 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s1, s2) | (~node38(c_p0, s1, s2)) | (~m_processor_v_abort(c_p0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s1, s2) | (~m_processor_v_abort(c_p0, s1)) | (~node38(c_p0, s1, s2)))),
% 49.18/31.84 inference(transitivity,[status(thm)],[3867, 3865])).
% 49.18/31.84 tff(3869,plain,
% 49.18/31.84 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s1, s2) | (~node38(c_p0, s1, s2)) | (~m_processor_v_abort(c_p0, s1)))),
% 49.18/31.84 inference(quant_inst,[status(thm)],[])).
% 49.18/31.84 tff(3870,plain,
% 49.18/31.84 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s1, s2) | (~m_processor_v_abort(c_p0, s1)) | (~node38(c_p0, s1, s2))),
% 49.18/31.84 inference(modus_ponens,[status(thm)],[3869, 3868])).
% 49.18/31.84 tff(3871,plain,
% 49.18/31.84 (node32(c_p0, s1, s2) | (~m_processor_v_abort(c_p0, s1))),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3870, 243, 3864])).
% 49.18/31.84 tff(3872,plain,
% 49.18/31.84 (~m_processor_v_abort(c_p0, s1)),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3871, 3858])).
% 49.18/31.84 tff(3873,assumption,(~node60(c_p0, s1)), introduced(assumption)).
% 49.18/31.84 tff(3874,assumption,(~m_processor_v_abort(c_p0, s1)), introduced(assumption)).
% 49.18/31.84 tff(3875,plain,
% 49.18/31.84 (((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p0, s1) | node60(c_p0, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p0, s1) | node60(c_p0, s1))),
% 49.18/31.84 inference(rewrite,[status(thm)],[])).
% 49.18/31.84 tff(3876,plain,
% 49.18/31.84 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p0, s1) | node60(c_p0, s1))),
% 49.18/31.84 inference(quant_inst,[status(thm)],[])).
% 49.18/31.84 tff(3877,plain,
% 49.18/31.84 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p0, s1) | node60(c_p0, s1)),
% 49.18/31.84 inference(modus_ponens,[status(thm)],[3876, 3875])).
% 49.18/31.84 tff(3878,plain,
% 49.18/31.84 ($false),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3877, 693, 3874, 3873])).
% 49.18/31.84 tff(3879,plain,(m_processor_v_abort(c_p0, s1) | node60(c_p0, s1)), inference(lemma,lemma(discharge,[]))).
% 49.18/31.84 tff(3880,plain,
% 49.18/31.84 (node60(c_p0, s1)),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3879, 3872])).
% 49.18/31.84 tff(3881,assumption,(node60(c_p0, s1)), introduced(assumption)).
% 49.18/31.84 tff(3882,assumption,(m_processor_v_REPLY_h_STALL(c_p0, s1)), introduced(assumption)).
% 49.18/31.84 tff(3883,plain,
% 49.18/31.84 (((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p0, s1)) | (~node60(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p0, s1)) | (~node60(c_p0, s1)))),
% 49.18/31.84 inference(rewrite,[status(thm)],[])).
% 49.18/31.84 tff(3884,plain,
% 49.18/31.84 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p0, s1)) | (~node60(c_p0, s1)))),
% 49.18/31.84 inference(quant_inst,[status(thm)],[])).
% 49.18/31.84 tff(3885,plain,
% 49.18/31.84 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p0, s1)) | (~node60(c_p0, s1))),
% 49.18/31.84 inference(modus_ponens,[status(thm)],[3884, 3883])).
% 49.18/31.84 tff(3886,plain,
% 49.18/31.84 ($false),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3885, 1363, 3882, 3881])).
% 49.18/31.84 tff(3887,plain,((~node60(c_p0, s1)) | (~m_processor_v_REPLY_h_STALL(c_p0, s1))), inference(lemma,lemma(discharge,[]))).
% 49.18/31.84 tff(3888,plain,
% 49.18/31.84 (~m_processor_v_REPLY_h_STALL(c_p0, s1)),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3887, 3880])).
% 49.18/31.84 tff(3889,assumption,(m_main_v_REPLY_h_STALL(s1)), introduced(assumption)).
% 49.18/31.84 tff(3890,assumption,(~m_processor_v_REPLY_h_STALL(c_p0, s1)), introduced(assumption)).
% 49.18/31.84 tff(3891,plain,
% 49.18/31.84 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | ((~m_main_v_REPLY_h_STALL(s1)) | m_processor_v_REPLY_h_STALL(c_p0, s1))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | (~m_main_v_REPLY_h_STALL(s1)) | m_processor_v_REPLY_h_STALL(c_p0, s1))),
% 49.18/31.84 inference(rewrite,[status(thm)],[])).
% 49.18/31.84 tff(3892,plain,
% 49.18/31.84 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | ((~m_main_v_REPLY_h_STALL(s1)) | m_processor_v_REPLY_h_STALL(c_p0, s1))),
% 49.18/31.84 inference(quant_inst,[status(thm)],[])).
% 49.18/31.84 tff(3893,plain,
% 49.18/31.84 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | (~m_main_v_REPLY_h_STALL(s1)) | m_processor_v_REPLY_h_STALL(c_p0, s1)),
% 49.18/31.84 inference(modus_ponens,[status(thm)],[3892, 3891])).
% 49.18/31.84 tff(3894,plain,
% 49.18/31.84 ($false),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3893, 1381, 3890, 3889])).
% 49.18/31.84 tff(3895,plain,((~m_main_v_REPLY_h_STALL(s1)) | m_processor_v_REPLY_h_STALL(c_p0, s1)), inference(lemma,lemma(discharge,[]))).
% 49.18/31.84 tff(3896,plain,
% 49.18/31.84 (~m_main_v_REPLY_h_STALL(s1)),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3895, 3888])).
% 49.18/31.84 tff(3897,assumption,(~node7(s1)), introduced(assumption)).
% 49.18/31.84 tff(3898,assumption,(~m_main_v_REPLY_h_STALL(s1)), introduced(assumption)).
% 49.18/31.84 tff(3899,plain,
% 49.18/31.84 (^[X: $i] : refl((m_main_v_REPLY_h_STALL(X) | node7(X)) <=> (m_main_v_REPLY_h_STALL(X) | node7(X)))),
% 49.18/31.84 inference(bind,[status(th)],[])).
% 49.18/31.84 tff(3900,plain,
% 49.18/31.84 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X)) <=> ![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))),
% 49.18/31.84 inference(quant_intro,[status(thm)],[3899])).
% 49.18/31.84 tff(3901,plain,
% 49.18/31.84 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X)) <=> ![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))),
% 49.18/31.84 inference(rewrite,[status(thm)],[])).
% 49.18/31.84 tff(3902,axiom,(![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_88')).
% 49.18/31.84 tff(3903,plain,
% 49.18/31.84 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))),
% 49.18/31.84 inference(modus_ponens,[status(thm)],[3902, 3901])).
% 49.18/31.84 tff(3904,plain,(
% 49.18/31.84 ![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))),
% 49.18/31.84 inference(skolemize,[status(sab)],[3903])).
% 49.18/31.84 tff(3905,plain,
% 49.18/31.84 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))),
% 49.18/31.84 inference(modus_ponens,[status(thm)],[3904, 3900])).
% 49.18/31.84 tff(3906,plain,
% 49.18/31.84 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | (m_main_v_REPLY_h_STALL(s1) | node7(s1))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | m_main_v_REPLY_h_STALL(s1) | node7(s1))),
% 49.18/31.84 inference(rewrite,[status(thm)],[])).
% 49.18/31.84 tff(3907,plain,
% 49.18/31.84 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | (m_main_v_REPLY_h_STALL(s1) | node7(s1))),
% 49.18/31.84 inference(quant_inst,[status(thm)],[])).
% 49.18/31.84 tff(3908,plain,
% 49.18/31.84 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | m_main_v_REPLY_h_STALL(s1) | node7(s1)),
% 49.18/31.84 inference(modus_ponens,[status(thm)],[3907, 3906])).
% 49.18/31.84 tff(3909,plain,
% 49.18/31.84 ($false),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3908, 3905, 3898, 3897])).
% 49.18/31.84 tff(3910,plain,(node7(s1) | m_main_v_REPLY_h_STALL(s1)), inference(lemma,lemma(discharge,[]))).
% 49.18/31.84 tff(3911,plain,
% 49.18/31.84 (node7(s1)),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3910, 3896])).
% 49.18/31.84 tff(3912,assumption,(node7(s1)), introduced(assumption)).
% 49.18/31.84 tff(3913,assumption,(m_memory_v_reply_h_stall(c_m, s1)), introduced(assumption)).
% 49.18/31.84 tff(3914,plain,
% 49.18/31.84 (^[X: $i] : refl(((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X))) <=> ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X))))),
% 49.18/31.84 inference(bind,[status(th)],[])).
% 49.18/31.84 tff(3915,plain,
% 49.18/31.84 (![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X))) <=> ![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))),
% 49.18/31.84 inference(quant_intro,[status(thm)],[3914])).
% 49.18/31.84 tff(3916,plain,
% 49.18/31.84 (![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X))) <=> ![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))),
% 49.18/31.84 inference(rewrite,[status(thm)],[])).
% 49.18/31.84 tff(3917,plain,
% 49.18/31.84 (^[X: $i] : rewrite(((~m_memory_v_reply_h_stall(c_m, X)) | (~node7(X))) <=> ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X))))),
% 49.18/31.84 inference(bind,[status(th)],[])).
% 49.18/31.84 tff(3918,plain,
% 49.18/31.84 (![X: $i] : ((~m_memory_v_reply_h_stall(c_m, X)) | (~node7(X))) <=> ![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))),
% 49.18/31.84 inference(quant_intro,[status(thm)],[3917])).
% 49.18/31.84 tff(3919,axiom,(![X: $i] : ((~m_memory_v_reply_h_stall(c_m, X)) | (~node7(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_87')).
% 49.18/31.84 tff(3920,plain,
% 49.18/31.84 (![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))),
% 49.18/31.84 inference(modus_ponens,[status(thm)],[3919, 3918])).
% 49.18/31.84 tff(3921,plain,
% 49.18/31.84 (![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))),
% 49.18/31.84 inference(modus_ponens,[status(thm)],[3920, 3916])).
% 49.18/31.84 tff(3922,plain,(
% 49.18/31.84 ![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))),
% 49.18/31.84 inference(skolemize,[status(sab)],[3921])).
% 49.18/31.84 tff(3923,plain,
% 49.18/31.84 (![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))),
% 49.18/31.84 inference(modus_ponens,[status(thm)],[3922, 3915])).
% 49.18/31.84 tff(3924,plain,
% 49.18/31.84 (((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | ((~node7(s1)) | (~m_memory_v_reply_h_stall(c_m, s1)))) <=> ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | (~node7(s1)) | (~m_memory_v_reply_h_stall(c_m, s1)))),
% 49.18/31.84 inference(rewrite,[status(thm)],[])).
% 49.18/31.84 tff(3925,plain,
% 49.18/31.84 ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | ((~node7(s1)) | (~m_memory_v_reply_h_stall(c_m, s1)))),
% 49.18/31.84 inference(quant_inst,[status(thm)],[])).
% 49.18/31.84 tff(3926,plain,
% 49.18/31.84 ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | (~node7(s1)) | (~m_memory_v_reply_h_stall(c_m, s1))),
% 49.18/31.84 inference(modus_ponens,[status(thm)],[3925, 3924])).
% 49.18/31.84 tff(3927,plain,
% 49.18/31.84 ($false),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3926, 3923, 3913, 3912])).
% 49.18/31.84 tff(3928,plain,((~node7(s1)) | (~m_memory_v_reply_h_stall(c_m, s1))), inference(lemma,lemma(discharge,[]))).
% 49.18/31.84 tff(3929,plain,
% 49.18/31.84 (~m_memory_v_reply_h_stall(c_m, s1)),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3928, 3911])).
% 49.18/31.84 tff(3930,assumption,(m_processor_v_state(c_p0, s1, c_shared)), introduced(assumption)).
% 49.18/31.84 tff(3931,plain,
% 49.18/31.84 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p0, s1, c_invalid)) | (~m_processor_v_state(c_p0, s1, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p0, s1, c_invalid)) | (~m_processor_v_state(c_p0, s1, c_shared)))),
% 49.18/31.84 inference(rewrite,[status(thm)],[])).
% 49.18/31.84 tff(3932,plain,
% 49.18/31.84 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p0, s1, c_invalid)) | (~m_processor_v_state(c_p0, s1, c_shared)))),
% 49.18/31.84 inference(quant_inst,[status(thm)],[])).
% 49.18/31.84 tff(3933,plain,
% 49.18/31.84 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p0, s1, c_invalid)) | (~m_processor_v_state(c_p0, s1, c_shared))),
% 49.18/31.84 inference(modus_ponens,[status(thm)],[3932, 3931])).
% 49.18/31.84 tff(3934,plain,
% 49.18/31.84 ($false),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3933, 977, 3849, 3930])).
% 49.18/31.84 tff(3935,plain,((~m_processor_v_state(c_p0, s1, c_shared)) | (~m_processor_v_state(c_p0, s1, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 49.18/31.84 tff(3936,plain,
% 49.18/31.84 (~m_processor_v_state(c_p0, s1, c_shared)),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3935, 3849])).
% 49.18/31.84 tff(3937,assumption,(~m_processor_v_state(c_p0, s1, c_shared)), introduced(assumption)).
% 49.18/31.84 tff(3938,plain,
% 49.18/31.84 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p0, s1, c_shared) | (~node36(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p0, s1, c_shared) | (~node36(c_p0, s1)))),
% 49.18/31.84 inference(rewrite,[status(thm)],[])).
% 49.18/31.84 tff(3939,plain,
% 49.18/31.84 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p0, s1, c_shared) | (~node36(c_p0, s1)))),
% 49.18/31.84 inference(quant_inst,[status(thm)],[])).
% 49.18/31.84 tff(3940,plain,
% 49.18/31.84 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p0, s1, c_shared) | (~node36(c_p0, s1))),
% 49.18/31.84 inference(modus_ponens,[status(thm)],[3939, 3938])).
% 49.18/31.84 tff(3941,plain,
% 49.18/31.84 (~node36(c_p0, s1)),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3940, 167, 3937])).
% 49.18/31.84 tff(3942,assumption,(node37(c_p0, s1, s2)), introduced(assumption)).
% 49.18/31.84 tff(3943,plain,
% 49.18/31.84 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid) | (~node37(c_p0, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid) | (~node37(c_p0, s1, s2)))),
% 49.18/31.84 inference(rewrite,[status(thm)],[])).
% 49.18/31.84 tff(3944,plain,
% 49.18/31.84 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid) | (~node37(c_p0, s1, s2)))),
% 49.18/31.84 inference(quant_inst,[status(thm)],[])).
% 49.18/31.84 tff(3945,plain,
% 49.18/31.84 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid) | (~node37(c_p0, s1, s2))),
% 49.18/31.84 inference(modus_ponens,[status(thm)],[3944, 3943])).
% 49.18/31.84 tff(3946,plain,
% 49.18/31.84 ($false),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3945, 2411, 3849, 3942, 3847])).
% 49.18/31.84 tff(3947,plain,((~m_processor_v_state(c_p0, s1, c_invalid)) | (~node37(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.18/31.84 tff(3948,plain,
% 49.18/31.84 (~node37(c_p0, s1, s2)),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3947, 3849, 3847])).
% 49.18/31.84 tff(3949,plain,
% 49.18/31.84 (~node32(c_p0, s1, s2)),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3857, 3849, 3847])).
% 49.18/31.84 tff(3950,plain,
% 49.18/31.84 (~m_processor_v_abort(c_p0, s1)),
% 49.18/31.84 inference(unit_resolution,[status(thm)],[3871, 3949])).
% 49.18/31.84 tff(3951,plain,
% 49.18/31.84 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s1) | m_processor_v_state(c_p0, s1, c_shared) | node36(c_p0, s1) | m_processor_v_abort(c_p0, s1) | node37(c_p0, s1, s2) | (~node38(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s1) | m_processor_v_state(c_p0, s1, c_shared) | node36(c_p0, s1) | m_processor_v_abort(c_p0, s1) | node37(c_p0, s1, s2) | (~node38(c_p0, s1, s2)))),
% 49.18/31.84 inference(rewrite,[status(thm)],[])).
% 49.18/31.84 tff(3952,plain,
% 49.18/31.84 ((m_processor_v_state(c_p0, s1, c_shared) | node36(c_p0, s1) | m_processor_v_master(c_p0, s1) | node37(c_p0, s1, s2) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1)) <=> (m_processor_v_master(c_p0, s1) | m_processor_v_state(c_p0, s1, c_shared) | node36(c_p0, s1) | m_processor_v_abort(c_p0, s1) | node37(c_p0, s1, s2) | (~node38(c_p0, s1, s2)))),
% 49.18/31.84 inference(rewrite,[status(thm)],[])).
% 49.18/31.84 tff(3953,plain,
% 49.18/31.84 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s1, c_shared) | node36(c_p0, s1) | m_processor_v_master(c_p0, s1) | node37(c_p0, s1, s2) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s1) | m_processor_v_state(c_p0, s1, c_shared) | node36(c_p0, s1) | m_processor_v_abort(c_p0, s1) | node37(c_p0, s1, s2) | (~node38(c_p0, s1, s2))))),
% 49.18/31.84 inference(monotonicity,[status(thm)],[3952])).
% 49.18/31.84 tff(3954,plain,
% 49.18/31.84 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s1, c_shared) | node36(c_p0, s1) | m_processor_v_master(c_p0, s1) | node37(c_p0, s1, s2) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s1) | m_processor_v_state(c_p0, s1, c_shared) | node36(c_p0, s1) | m_processor_v_abort(c_p0, s1) | node37(c_p0, s1, s2) | (~node38(c_p0, s1, s2)))),
% 49.18/31.84 inference(transitivity,[status(thm)],[3953, 3951])).
% 49.18/31.84 tff(3955,plain,
% 49.18/31.84 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s1, c_shared) | node36(c_p0, s1) | m_processor_v_master(c_p0, s1) | node37(c_p0, s1, s2) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1))),
% 49.18/31.84 inference(quant_inst,[status(thm)],[])).
% 49.18/31.84 tff(3956,plain,
% 49.18/31.84 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s1) | m_processor_v_state(c_p0, s1, c_shared) | node36(c_p0, s1) | m_processor_v_abort(c_p0, s1) | node37(c_p0, s1, s2) | (~node38(c_p0, s1, s2))),
% 49.18/31.85 inference(modus_ponens,[status(thm)],[3955, 3954])).
% 49.18/31.85 tff(3957,plain,
% 49.18/31.85 (m_processor_v_master(c_p0, s1) | m_processor_v_state(c_p0, s1, c_shared) | node36(c_p0, s1) | m_processor_v_abort(c_p0, s1) | node37(c_p0, s1, s2)),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[3956, 225, 3864])).
% 49.18/31.85 tff(3958,plain,
% 49.18/31.85 ($false),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[3957, 3950, 3948, 3259, 3937, 3941])).
% 49.18/31.85 tff(3959,plain,((~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_master(c_p0, s1) | m_processor_v_state(c_p0, s1, c_shared) | m_processor_v_state(c_p0, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.18/31.85 tff(3960,plain,
% 49.18/31.85 ($false),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[3959, 3936, 3849, 3847, 3259])).
% 49.18/31.85 tff(3961,plain,((~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p0, s2, c_invalid) | m_processor_v_master(c_p0, s1)), inference(lemma,lemma(discharge,[]))).
% 49.18/31.85 tff(3962,plain,
% 49.18/31.85 (m_processor_v_master(c_p0, s1)),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[3961, 3847, 3846])).
% 49.18/31.85 tff(3963,plain,
% 49.18/31.85 (~m_processor_v_master(c_p1, s1)),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[3257, 794, 3962])).
% 49.18/31.85 tff(3964,plain,
% 49.18/31.85 (~m_processor_v_state(c_p1, s1, c_invalid)),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[3178, 3963, 3147, 2781])).
% 49.18/31.85 tff(3965,plain,
% 49.18/31.85 (m_processor_v_master(c_p1, s0)),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[3102, 3057])).
% 49.18/31.85 tff(3966,assumption,(node17(s0)), introduced(assumption)).
% 49.18/31.85 tff(3967,plain,
% 49.18/31.85 (((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p1, s0)) | (~node17(s0)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | (~m_processor_v_master(c_p1, s0)) | (~node17(s0)))),
% 49.18/31.85 inference(rewrite,[status(thm)],[])).
% 49.18/31.85 tff(3968,plain,
% 49.18/31.85 ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p1, s0)) | (~node17(s0)))),
% 49.18/31.85 inference(quant_inst,[status(thm)],[])).
% 49.18/31.85 tff(3969,plain,
% 49.18/31.85 ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | (~m_processor_v_master(c_p1, s0)) | (~node17(s0))),
% 49.18/31.85 inference(modus_ponens,[status(thm)],[3968, 3967])).
% 49.18/31.85 tff(3970,plain,
% 49.18/31.85 ($false),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[3969, 3344, 2969, 3966])).
% 49.18/31.85 tff(3971,plain,((~node17(s0)) | (~m_processor_v_master(c_p1, s0))), inference(lemma,lemma(discharge,[]))).
% 49.18/31.85 tff(3972,plain,
% 49.18/31.85 (~node17(s0)),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[3971, 3965])).
% 49.18/31.85 tff(3973,assumption,(~node17(s0)), introduced(assumption)).
% 49.18/31.85 tff(3974,assumption,(m_memory_v_master(c_m, s0)), introduced(assumption)).
% 49.18/31.85 tff(3975,plain,
% 49.18/31.85 ($false),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[2887, 1290, 3974, 3973])).
% 49.18/31.85 tff(3976,plain,((~m_memory_v_master(c_m, s0)) | node17(s0)), inference(lemma,lemma(discharge,[]))).
% 49.18/31.85 tff(3977,plain,
% 49.18/31.85 (~m_memory_v_master(c_m, s0)),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[3976, 3972])).
% 49.18/31.85 tff(3978,assumption,(~m_memory_v_busy(c_m, s1)), introduced(assumption)).
% 49.18/31.85 tff(3979,assumption,(~node60(c_p1, s0)), introduced(assumption)).
% 49.18/31.85 tff(3980,assumption,(~m_processor_v_abort(c_p1, s0)), introduced(assumption)).
% 49.18/31.85 tff(3981,plain,
% 49.18/31.85 (((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p1, s0) | node60(c_p1, s0))) <=> ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p1, s0) | node60(c_p1, s0))),
% 49.18/31.85 inference(rewrite,[status(thm)],[])).
% 49.18/31.85 tff(3982,plain,
% 49.18/31.85 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p1, s0) | node60(c_p1, s0))),
% 49.18/31.85 inference(quant_inst,[status(thm)],[])).
% 49.18/31.85 tff(3983,plain,
% 49.18/31.85 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p1, s0) | node60(c_p1, s0)),
% 49.18/31.85 inference(modus_ponens,[status(thm)],[3982, 3981])).
% 49.18/31.85 tff(3984,plain,
% 49.18/31.85 ($false),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[3983, 693, 3980, 3979])).
% 49.18/31.85 tff(3985,plain,(node60(c_p1, s0) | m_processor_v_abort(c_p1, s0)), inference(lemma,lemma(discharge,[]))).
% 49.18/31.85 tff(3986,plain,
% 49.18/31.85 (node60(c_p1, s0)),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[3985, 3084])).
% 49.18/31.85 tff(3987,assumption,(m_processor_v_REPLY_h_STALL(c_p1, s0)), introduced(assumption)).
% 49.18/31.85 tff(3988,assumption,(node60(c_p1, s0)), introduced(assumption)).
% 49.18/31.85 tff(3989,plain,
% 49.18/31.85 (((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p1, s0)) | (~node60(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p1, s0)) | (~node60(c_p1, s0)))),
% 49.18/31.85 inference(rewrite,[status(thm)],[])).
% 49.18/31.85 tff(3990,plain,
% 49.18/31.85 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p1, s0)) | (~node60(c_p1, s0)))),
% 49.18/31.85 inference(quant_inst,[status(thm)],[])).
% 49.18/31.85 tff(3991,plain,
% 49.18/31.85 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p1, s0)) | (~node60(c_p1, s0))),
% 49.18/31.85 inference(modus_ponens,[status(thm)],[3990, 3989])).
% 49.18/31.85 tff(3992,plain,
% 49.18/31.85 ($false),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[3991, 1363, 3988, 3987])).
% 49.18/31.85 tff(3993,plain,((~m_processor_v_REPLY_h_STALL(c_p1, s0)) | (~node60(c_p1, s0))), inference(lemma,lemma(discharge,[]))).
% 49.18/31.85 tff(3994,plain,
% 49.18/31.85 (~m_processor_v_REPLY_h_STALL(c_p1, s0)),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[3993, 3986])).
% 49.18/31.85 tff(3995,assumption,(~m_processor_v_REPLY_h_STALL(c_p1, s0)), introduced(assumption)).
% 49.18/31.85 tff(3996,assumption,(m_main_v_REPLY_h_STALL(s0)), introduced(assumption)).
% 49.18/31.85 tff(3997,plain,
% 49.18/31.85 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | ((~m_main_v_REPLY_h_STALL(s0)) | m_processor_v_REPLY_h_STALL(c_p1, s0))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | (~m_main_v_REPLY_h_STALL(s0)) | m_processor_v_REPLY_h_STALL(c_p1, s0))),
% 49.18/31.85 inference(rewrite,[status(thm)],[])).
% 49.18/31.85 tff(3998,plain,
% 49.18/31.85 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | ((~m_main_v_REPLY_h_STALL(s0)) | m_processor_v_REPLY_h_STALL(c_p1, s0))),
% 49.18/31.85 inference(quant_inst,[status(thm)],[])).
% 49.18/31.85 tff(3999,plain,
% 49.18/31.85 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | (~m_main_v_REPLY_h_STALL(s0)) | m_processor_v_REPLY_h_STALL(c_p1, s0)),
% 49.18/31.85 inference(modus_ponens,[status(thm)],[3998, 3997])).
% 49.18/31.85 tff(4000,plain,
% 49.18/31.85 ($false),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[3999, 1713, 3996, 3995])).
% 49.18/31.85 tff(4001,plain,(m_processor_v_REPLY_h_STALL(c_p1, s0) | (~m_main_v_REPLY_h_STALL(s0))), inference(lemma,lemma(discharge,[]))).
% 49.18/31.85 tff(4002,plain,
% 49.18/31.85 (~m_main_v_REPLY_h_STALL(s0)),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[4001, 3994])).
% 49.18/31.85 tff(4003,assumption,(m_memory_v_REPLY_h_STALL(c_m, s0)), introduced(assumption)).
% 49.18/31.85 tff(4004,assumption,(~m_main_v_REPLY_h_STALL(s0)), introduced(assumption)).
% 49.18/31.85 tff(4005,plain,
% 49.18/31.85 (^[X: $i] : refl((m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X))) <=> (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X))))),
% 49.18/31.85 inference(bind,[status(th)],[])).
% 49.18/31.85 tff(4006,plain,
% 49.18/31.85 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X))) <=> ![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))),
% 49.18/31.85 inference(quant_intro,[status(thm)],[4005])).
% 49.18/31.85 tff(4007,plain,
% 49.18/31.85 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X))) <=> ![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))),
% 49.18/31.85 inference(rewrite,[status(thm)],[])).
% 49.18/31.85 tff(4008,plain,
% 49.18/31.85 (^[X: $i] : rewrite(((~m_memory_v_REPLY_h_STALL(c_m, X)) | m_main_v_REPLY_h_STALL(X)) <=> (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X))))),
% 49.18/31.85 inference(bind,[status(th)],[])).
% 49.18/31.85 tff(4009,plain,
% 49.18/31.85 (![X: $i] : ((~m_memory_v_REPLY_h_STALL(c_m, X)) | m_main_v_REPLY_h_STALL(X)) <=> ![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))),
% 49.18/31.85 inference(quant_intro,[status(thm)],[4008])).
% 49.18/31.85 tff(4010,axiom,(![X: $i] : ((~m_memory_v_REPLY_h_STALL(c_m, X)) | m_main_v_REPLY_h_STALL(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_46')).
% 49.18/31.85 tff(4011,plain,
% 49.18/31.85 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))),
% 49.18/31.85 inference(modus_ponens,[status(thm)],[4010, 4009])).
% 49.18/31.85 tff(4012,plain,
% 49.18/31.85 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))),
% 49.18/31.85 inference(modus_ponens,[status(thm)],[4011, 4007])).
% 49.18/31.85 tff(4013,plain,(
% 49.18/31.85 ![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))),
% 49.18/31.85 inference(skolemize,[status(sab)],[4012])).
% 49.18/31.85 tff(4014,plain,
% 49.18/31.85 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))),
% 49.18/31.85 inference(modus_ponens,[status(thm)],[4013, 4006])).
% 49.18/31.85 tff(4015,plain,
% 49.18/31.85 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | (m_main_v_REPLY_h_STALL(s0) | (~m_memory_v_REPLY_h_STALL(c_m, s0)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | m_main_v_REPLY_h_STALL(s0) | (~m_memory_v_REPLY_h_STALL(c_m, s0)))),
% 49.18/31.85 inference(rewrite,[status(thm)],[])).
% 49.18/31.85 tff(4016,plain,
% 49.18/31.85 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | (m_main_v_REPLY_h_STALL(s0) | (~m_memory_v_REPLY_h_STALL(c_m, s0)))),
% 49.18/31.85 inference(quant_inst,[status(thm)],[])).
% 49.18/31.85 tff(4017,plain,
% 49.18/31.85 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | m_main_v_REPLY_h_STALL(s0) | (~m_memory_v_REPLY_h_STALL(c_m, s0))),
% 49.18/31.85 inference(modus_ponens,[status(thm)],[4016, 4015])).
% 49.18/31.85 tff(4018,plain,
% 49.18/31.85 ($false),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[4017, 4014, 4004, 4003])).
% 49.18/31.85 tff(4019,plain,(m_main_v_REPLY_h_STALL(s0) | (~m_memory_v_REPLY_h_STALL(c_m, s0))), inference(lemma,lemma(discharge,[]))).
% 49.18/31.85 tff(4020,plain,
% 49.18/31.85 (~m_memory_v_REPLY_h_STALL(c_m, s0)),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[4019, 4002])).
% 49.18/31.85 tff(4021,assumption,(~node34(c_p1, s0, s1)), introduced(assumption)).
% 49.18/31.85 tff(4022,plain,
% 49.18/31.85 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p1, s0)) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0) | node34(c_p1, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s0)) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0) | node34(c_p1, s0, s1))),
% 49.18/31.85 inference(rewrite,[status(thm)],[])).
% 49.18/31.85 tff(4023,plain,
% 49.18/31.85 ((node34(c_p1, s0, s1) | (~m_processor_v_master(c_p1, s0)) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0)) <=> ((~m_processor_v_master(c_p1, s0)) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0) | node34(c_p1, s0, s1))),
% 49.18/31.85 inference(rewrite,[status(thm)],[])).
% 49.18/31.85 tff(4024,plain,
% 49.18/31.85 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s0, s1) | (~m_processor_v_master(c_p1, s0)) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p1, s0)) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0) | node34(c_p1, s0, s1)))),
% 49.18/31.85 inference(monotonicity,[status(thm)],[4023])).
% 49.18/31.85 tff(4025,plain,
% 49.18/31.85 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s0, s1) | (~m_processor_v_master(c_p1, s0)) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s0)) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0) | node34(c_p1, s0, s1))),
% 49.18/31.85 inference(transitivity,[status(thm)],[4024, 4022])).
% 49.18/31.85 tff(4026,plain,
% 49.18/31.85 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s0, s1) | (~m_processor_v_master(c_p1, s0)) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0))),
% 49.18/31.85 inference(quant_inst,[status(thm)],[])).
% 49.18/31.85 tff(4027,plain,
% 49.18/31.85 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s0)) | (~node38(c_p1, s0, s1)) | m_processor_v_abort(c_p1, s0) | node34(c_p1, s0, s1)),
% 49.18/31.85 inference(modus_ponens,[status(thm)],[4026, 4025])).
% 49.18/31.85 tff(4028,plain,
% 49.18/31.85 ($false),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[4027, 283, 3075, 2969, 3980, 4021])).
% 49.18/31.85 tff(4029,plain,(node34(c_p1, s0, s1) | (~m_processor_v_master(c_p1, s0)) | m_processor_v_abort(c_p1, s0)), inference(lemma,lemma(discharge,[]))).
% 49.18/31.85 tff(4030,plain,
% 49.18/31.85 ($false),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[4029, 3084, 3965, 4021])).
% 49.18/31.85 tff(4031,plain,(m_processor_v_state(c_p1, s1, c_invalid) | node34(c_p1, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 49.18/31.85 tff(4032,plain,
% 49.18/31.85 (node34(c_p1, s0, s1)),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[4031, 3057])).
% 49.18/31.85 tff(4033,assumption,(node16(s0)), introduced(assumption)).
% 49.18/31.85 tff(4034,plain,
% 49.18/31.85 (((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | ((~node16(s0)) | (~m_processor_v_master(c_p1, s0)))) <=> ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | (~node16(s0)) | (~m_processor_v_master(c_p1, s0)))),
% 49.18/31.85 inference(rewrite,[status(thm)],[])).
% 49.18/31.85 tff(4035,plain,
% 49.18/31.85 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | ((~node16(s0)) | (~m_processor_v_master(c_p1, s0)))),
% 49.18/31.85 inference(quant_inst,[status(thm)],[])).
% 49.18/31.85 tff(4036,plain,
% 49.18/31.85 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | (~node16(s0)) | (~m_processor_v_master(c_p1, s0))),
% 49.18/31.85 inference(modus_ponens,[status(thm)],[4035, 4034])).
% 49.18/31.85 tff(4037,plain,
% 49.18/31.85 ($false),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[4036, 3386, 2969, 4033])).
% 49.18/31.85 tff(4038,plain,((~node16(s0)) | (~m_processor_v_master(c_p1, s0))), inference(lemma,lemma(discharge,[]))).
% 49.18/31.85 tff(4039,plain,
% 49.18/31.85 (~node16(s0)),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[4038, 3965])).
% 49.18/31.85 tff(4040,assumption,(~node16(s0)), introduced(assumption)).
% 49.18/31.85 tff(4041,assumption,(m_processor_v_master(c_p2, s0)), introduced(assumption)).
% 49.18/31.85 tff(4042,plain,
% 49.18/31.85 ($false),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[2903, 1545, 4041, 4040])).
% 49.18/31.85 tff(4043,plain,(node16(s0) | (~m_processor_v_master(c_p2, s0))), inference(lemma,lemma(discharge,[]))).
% 49.18/31.85 tff(4044,plain,
% 49.18/31.85 (~m_processor_v_master(c_p2, s0)),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[4043, 4039])).
% 49.18/31.85 tff(4045,assumption,(~m_processor_v_cmd(c_p2, s0, c_idle)), introduced(assumption)).
% 49.18/31.85 tff(4046,assumption,(~m_processor_v_master(c_p2, s0)), introduced(assumption)).
% 49.18/31.85 tff(4047,assumption,(node63(c_p2, s0)), introduced(assumption)).
% 49.18/31.85 tff(4048,plain,
% 49.18/31.85 ($false),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[2911, 1469, 4047, 4046])).
% 49.18/31.85 tff(4049,plain,((~node63(c_p2, s0)) | m_processor_v_master(c_p2, s0)), inference(lemma,lemma(discharge,[]))).
% 49.18/31.85 tff(4050,plain,
% 49.18/31.85 (~node63(c_p2, s0)),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[4049, 4046])).
% 49.18/31.85 tff(4051,assumption,(~node63(c_p2, s0)), introduced(assumption)).
% 49.18/31.85 tff(4052,assumption,(node62(c_p2, s0)), introduced(assumption)).
% 49.18/31.85 tff(4053,plain,
% 49.18/31.85 ($false),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[2907, 1493, 4052, 4046])).
% 49.18/31.85 tff(4054,plain,(m_processor_v_master(c_p2, s0) | (~node62(c_p2, s0))), inference(lemma,lemma(discharge,[]))).
% 49.18/31.85 tff(4055,plain,
% 49.18/31.85 (~node62(c_p2, s0)),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[4054, 4046])).
% 49.18/31.85 tff(4056,plain,
% 49.18/31.85 (^[I0: $i] : refl(m_processor_v_snoop(I0, s0, c_invalid) <=> m_processor_v_snoop(I0, s0, c_invalid))),
% 49.18/31.85 inference(bind,[status(th)],[])).
% 49.18/31.85 tff(4057,plain,
% 49.18/31.85 (![I0: $i] : m_processor_v_snoop(I0, s0, c_invalid) <=> ![I0: $i] : m_processor_v_snoop(I0, s0, c_invalid)),
% 49.18/31.85 inference(quant_intro,[status(thm)],[4056])).
% 49.18/31.85 tff(4058,plain,
% 49.18/31.85 (![I0: $i] : m_processor_v_snoop(I0, s0, c_invalid) <=> ![I0: $i] : m_processor_v_snoop(I0, s0, c_invalid)),
% 49.18/31.85 inference(rewrite,[status(thm)],[])).
% 49.18/31.85 tff(4059,axiom,(![I0: $i] : m_processor_v_snoop(I0, s0, c_invalid)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_47')).
% 49.18/31.85 tff(4060,plain,
% 49.18/31.85 (![I0: $i] : m_processor_v_snoop(I0, s0, c_invalid)),
% 49.18/31.85 inference(modus_ponens,[status(thm)],[4059, 4058])).
% 49.18/31.85 tff(4061,plain,(
% 49.18/31.85 ![I0: $i] : m_processor_v_snoop(I0, s0, c_invalid)),
% 49.18/31.85 inference(skolemize,[status(sab)],[4060])).
% 49.18/31.85 tff(4062,plain,
% 49.18/31.85 (![I0: $i] : m_processor_v_snoop(I0, s0, c_invalid)),
% 49.18/31.85 inference(modus_ponens,[status(thm)],[4061, 4057])).
% 49.18/31.85 tff(4063,plain,
% 49.18/31.85 ((~![I0: $i] : m_processor_v_snoop(I0, s0, c_invalid)) | m_processor_v_snoop(c_p2, s0, c_invalid)),
% 49.18/31.85 inference(quant_inst,[status(thm)],[])).
% 49.18/31.85 tff(4064,plain,
% 49.18/31.85 (m_processor_v_snoop(c_p2, s0, c_invalid)),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[4063, 4062])).
% 49.18/31.85 tff(4065,plain,
% 49.18/31.85 (^[I0: $i, X: $i] : refl(((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned))) <=> ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned))))),
% 49.18/31.85 inference(bind,[status(th)],[])).
% 49.18/31.85 tff(4066,plain,
% 49.18/31.85 (![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned))) <=> ![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))),
% 49.18/31.85 inference(quant_intro,[status(thm)],[4065])).
% 49.18/31.85 tff(4067,plain,
% 49.18/31.85 (![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned))) <=> ![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))),
% 49.18/31.85 inference(rewrite,[status(thm)],[])).
% 49.18/31.85 tff(4068,axiom,(![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_39')).
% 49.18/31.85 tff(4069,plain,
% 49.18/31.85 (![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))),
% 49.18/31.85 inference(modus_ponens,[status(thm)],[4068, 4067])).
% 49.18/31.85 tff(4070,plain,(
% 49.18/31.85 ![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))),
% 49.18/31.85 inference(skolemize,[status(sab)],[4069])).
% 49.18/31.85 tff(4071,plain,
% 49.18/31.85 (![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))),
% 49.18/31.85 inference(modus_ponens,[status(thm)],[4070, 4066])).
% 49.18/31.85 tff(4072,plain,
% 49.18/31.85 (((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | ((~m_processor_v_snoop(c_p2, s0, c_invalid)) | (~m_processor_v_snoop(c_p2, s0, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | (~m_processor_v_snoop(c_p2, s0, c_invalid)) | (~m_processor_v_snoop(c_p2, s0, c_owned)))),
% 49.18/31.85 inference(rewrite,[status(thm)],[])).
% 49.18/31.85 tff(4073,plain,
% 49.18/31.85 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | ((~m_processor_v_snoop(c_p2, s0, c_invalid)) | (~m_processor_v_snoop(c_p2, s0, c_owned)))),
% 49.18/31.85 inference(quant_inst,[status(thm)],[])).
% 49.18/31.85 tff(4074,plain,
% 49.18/31.85 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | (~m_processor_v_snoop(c_p2, s0, c_invalid)) | (~m_processor_v_snoop(c_p2, s0, c_owned))),
% 49.18/31.85 inference(modus_ponens,[status(thm)],[4073, 4072])).
% 49.18/31.85 tff(4075,plain,
% 49.18/31.85 (~m_processor_v_snoop(c_p2, s0, c_owned)),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[4074, 4071, 4064])).
% 49.18/31.85 tff(4076,plain,
% 49.18/31.85 (^[I0: $i, X: $i] : refl((m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X))) <=> (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X))))),
% 49.18/31.85 inference(bind,[status(th)],[])).
% 49.18/31.85 tff(4077,plain,
% 49.18/31.85 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))),
% 49.18/31.85 inference(quant_intro,[status(thm)],[4076])).
% 49.18/31.85 tff(4078,plain,
% 49.18/31.85 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))),
% 49.18/31.85 inference(rewrite,[status(thm)],[])).
% 49.18/31.85 tff(4079,axiom,(![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_148')).
% 49.18/31.85 tff(4080,plain,
% 49.18/31.85 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))),
% 49.18/31.85 inference(modus_ponens,[status(thm)],[4079, 4078])).
% 49.18/31.85 tff(4081,plain,(
% 49.18/31.85 ![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))),
% 49.18/31.85 inference(skolemize,[status(sab)],[4080])).
% 49.18/31.85 tff(4082,plain,
% 49.18/31.85 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))),
% 49.18/31.85 inference(modus_ponens,[status(thm)],[4081, 4077])).
% 49.18/31.85 tff(4083,plain,
% 49.18/31.85 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | ((~node64(c_p2, s0)) | m_processor_v_snoop(c_p2, s0, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (~node64(c_p2, s0)) | m_processor_v_snoop(c_p2, s0, c_owned))),
% 49.18/31.85 inference(rewrite,[status(thm)],[])).
% 49.18/31.85 tff(4084,plain,
% 49.18/31.85 ((m_processor_v_snoop(c_p2, s0, c_owned) | (~node64(c_p2, s0))) <=> ((~node64(c_p2, s0)) | m_processor_v_snoop(c_p2, s0, c_owned))),
% 49.18/31.85 inference(rewrite,[status(thm)],[])).
% 49.18/31.85 tff(4085,plain,
% 49.18/31.85 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p2, s0, c_owned) | (~node64(c_p2, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | ((~node64(c_p2, s0)) | m_processor_v_snoop(c_p2, s0, c_owned)))),
% 49.18/31.85 inference(monotonicity,[status(thm)],[4084])).
% 49.18/31.85 tff(4086,plain,
% 49.18/31.85 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p2, s0, c_owned) | (~node64(c_p2, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (~node64(c_p2, s0)) | m_processor_v_snoop(c_p2, s0, c_owned))),
% 49.18/31.85 inference(transitivity,[status(thm)],[4085, 4083])).
% 49.18/31.85 tff(4087,plain,
% 49.18/31.85 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p2, s0, c_owned) | (~node64(c_p2, s0)))),
% 49.18/31.85 inference(quant_inst,[status(thm)],[])).
% 49.18/31.85 tff(4088,plain,
% 49.18/31.85 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (~node64(c_p2, s0)) | m_processor_v_snoop(c_p2, s0, c_owned)),
% 49.18/31.85 inference(modus_ponens,[status(thm)],[4087, 4086])).
% 49.18/31.85 tff(4089,plain,
% 49.18/31.85 (~node64(c_p2, s0)),
% 49.18/31.85 inference(unit_resolution,[status(thm)],[4088, 4082, 4075])).
% 49.18/31.85 tff(4090,plain,
% 49.18/31.85 (^[I0: $i, X: $i] : refl(((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared))) <=> ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared))))),
% 49.18/31.85 inference(bind,[status(th)],[])).
% 49.18/31.85 tff(4091,plain,
% 49.18/31.85 (![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))),
% 49.18/31.85 inference(quant_intro,[status(thm)],[4090])).
% 49.18/31.85 tff(4092,plain,
% 49.18/31.85 (![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))),
% 49.18/31.85 inference(rewrite,[status(thm)],[])).
% 49.18/31.85 tff(4093,axiom,(![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_40')).
% 49.18/31.85 tff(4094,plain,
% 49.18/31.85 (![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))),
% 49.18/31.85 inference(modus_ponens,[status(thm)],[4093, 4092])).
% 49.18/31.85 tff(4095,plain,(
% 49.18/31.85 ![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))),
% 49.24/31.85 inference(skolemize,[status(sab)],[4094])).
% 49.24/31.85 tff(4096,plain,
% 49.24/31.85 (![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))),
% 49.24/31.85 inference(modus_ponens,[status(thm)],[4095, 4091])).
% 49.24/31.85 tff(4097,plain,
% 49.24/31.85 (((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p2, s0, c_invalid)) | (~m_processor_v_snoop(c_p2, s0, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p2, s0, c_invalid)) | (~m_processor_v_snoop(c_p2, s0, c_shared)))),
% 49.24/31.85 inference(rewrite,[status(thm)],[])).
% 49.24/31.85 tff(4098,plain,
% 49.24/31.85 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p2, s0, c_invalid)) | (~m_processor_v_snoop(c_p2, s0, c_shared)))),
% 49.24/31.85 inference(quant_inst,[status(thm)],[])).
% 49.24/31.85 tff(4099,plain,
% 49.24/31.85 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p2, s0, c_invalid)) | (~m_processor_v_snoop(c_p2, s0, c_shared))),
% 49.24/31.85 inference(modus_ponens,[status(thm)],[4098, 4097])).
% 49.24/31.85 tff(4100,plain,
% 49.24/31.85 (~m_processor_v_snoop(c_p2, s0, c_shared)),
% 49.24/31.85 inference(unit_resolution,[status(thm)],[4099, 4096, 4064])).
% 49.24/31.85 tff(4101,plain,
% 49.24/31.85 (^[I0: $i, X: $i] : refl((m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X))) <=> (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X))))),
% 49.24/31.85 inference(bind,[status(th)],[])).
% 49.24/31.85 tff(4102,plain,
% 49.24/31.85 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))),
% 49.24/31.85 inference(quant_intro,[status(thm)],[4101])).
% 49.24/31.85 tff(4103,plain,
% 49.24/31.85 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))),
% 49.24/31.85 inference(rewrite,[status(thm)],[])).
% 49.24/31.85 tff(4104,axiom,(![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_151')).
% 49.24/31.85 tff(4105,plain,
% 49.24/31.85 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))),
% 49.24/31.85 inference(modus_ponens,[status(thm)],[4104, 4103])).
% 49.24/31.85 tff(4106,plain,(
% 49.24/31.85 ![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))),
% 49.24/31.85 inference(skolemize,[status(sab)],[4105])).
% 49.24/31.85 tff(4107,plain,
% 49.24/31.85 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))),
% 49.24/31.85 inference(modus_ponens,[status(thm)],[4106, 4102])).
% 49.24/31.85 tff(4108,plain,
% 49.24/31.85 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | ((~node65(c_p2, s0)) | m_processor_v_snoop(c_p2, s0, c_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (~node65(c_p2, s0)) | m_processor_v_snoop(c_p2, s0, c_shared))),
% 49.24/31.85 inference(rewrite,[status(thm)],[])).
% 49.24/31.85 tff(4109,plain,
% 49.24/31.85 ((m_processor_v_snoop(c_p2, s0, c_shared) | (~node65(c_p2, s0))) <=> ((~node65(c_p2, s0)) | m_processor_v_snoop(c_p2, s0, c_shared))),
% 49.24/31.85 inference(rewrite,[status(thm)],[])).
% 49.24/31.85 tff(4110,plain,
% 49.24/31.85 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p2, s0, c_shared) | (~node65(c_p2, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | ((~node65(c_p2, s0)) | m_processor_v_snoop(c_p2, s0, c_shared)))),
% 49.24/31.85 inference(monotonicity,[status(thm)],[4109])).
% 49.24/31.85 tff(4111,plain,
% 49.24/31.85 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p2, s0, c_shared) | (~node65(c_p2, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (~node65(c_p2, s0)) | m_processor_v_snoop(c_p2, s0, c_shared))),
% 49.24/31.85 inference(transitivity,[status(thm)],[4110, 4108])).
% 49.24/31.85 tff(4112,plain,
% 49.24/31.85 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p2, s0, c_shared) | (~node65(c_p2, s0)))),
% 49.24/31.85 inference(quant_inst,[status(thm)],[])).
% 49.24/31.85 tff(4113,plain,
% 49.24/31.85 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (~node65(c_p2, s0)) | m_processor_v_snoop(c_p2, s0, c_shared)),
% 49.24/31.85 inference(modus_ponens,[status(thm)],[4112, 4111])).
% 49.24/31.85 tff(4114,plain,
% 49.24/31.85 (~node65(c_p2, s0)),
% 49.24/31.85 inference(unit_resolution,[status(thm)],[4113, 4107, 4100])).
% 49.24/31.85 tff(4115,plain,
% 49.24/31.85 (node66(c_p2, s0) | node63(c_p2, s0) | node62(c_p2, s0) | m_processor_v_cmd(c_p2, s0, c_idle)),
% 49.24/31.85 inference(unit_resolution,[status(thm)],[2930, 1508, 4114, 4089])).
% 49.24/31.85 tff(4116,plain,
% 49.24/31.85 (node66(c_p2, s0)),
% 49.24/31.85 inference(unit_resolution,[status(thm)],[4115, 4055, 4051, 4045])).
% 49.24/31.85 tff(4117,plain,
% 49.24/31.85 ($false),
% 49.24/31.85 inference(unit_resolution,[status(thm)],[2923, 1446, 4046, 4116])).
% 49.24/31.85 tff(4118,plain,(m_processor_v_master(c_p2, s0) | node63(c_p2, s0) | m_processor_v_cmd(c_p2, s0, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.24/31.85 tff(4119,plain,
% 49.24/31.85 ($false),
% 49.24/31.85 inference(unit_resolution,[status(thm)],[4118, 4050, 4046, 4045])).
% 49.24/31.85 tff(4120,plain,(m_processor_v_master(c_p2, s0) | m_processor_v_cmd(c_p2, s0, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.24/31.85 tff(4121,plain,
% 49.24/31.85 (m_processor_v_cmd(c_p2, s0, c_idle)),
% 49.24/31.85 inference(unit_resolution,[status(thm)],[4120, 4044])).
% 49.24/31.85 tff(4122,plain,
% 49.24/31.85 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | (~node33(c_p1, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | (~node33(c_p1, s0, s1)))),
% 49.24/31.85 inference(rewrite,[status(thm)],[])).
% 49.24/31.85 tff(4123,plain,
% 49.24/31.85 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | (~node33(c_p1, s0, s1)))),
% 49.24/31.85 inference(quant_inst,[status(thm)],[])).
% 49.24/31.85 tff(4124,plain,
% 49.24/31.85 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | (~node33(c_p1, s0, s1))),
% 49.24/31.85 inference(modus_ponens,[status(thm)],[4123, 4122])).
% 49.24/31.85 tff(4125,plain,
% 49.24/31.85 (~node33(c_p1, s0, s1)),
% 49.24/31.85 inference(unit_resolution,[status(thm)],[4124, 399, 2988, 3057])).
% 49.24/31.85 tff(4126,plain,
% 49.24/31.85 (~m_processor_v_master(c_p0, s0)),
% 49.24/31.85 inference(unit_resolution,[status(thm)],[2974, 2969])).
% 49.24/31.85 tff(4127,plain,
% 49.24/31.85 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p0, s0) | (~node62(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p0, s0) | (~node62(c_p0, s0)))),
% 49.24/31.85 inference(rewrite,[status(thm)],[])).
% 49.24/31.86 tff(4128,plain,
% 49.24/31.86 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p0, s0) | (~node62(c_p0, s0)))),
% 49.24/31.86 inference(quant_inst,[status(thm)],[])).
% 49.24/31.86 tff(4129,plain,
% 49.24/31.86 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p0, s0) | (~node62(c_p0, s0))),
% 49.24/31.86 inference(modus_ponens,[status(thm)],[4128, 4127])).
% 49.24/31.86 tff(4130,plain,
% 49.24/31.86 (~node62(c_p0, s0)),
% 49.24/31.86 inference(unit_resolution,[status(thm)],[4129, 1493, 4126])).
% 49.24/31.86 tff(4131,plain,
% 49.24/31.86 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p0, s0, c_shared) | (~node63(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p0, s0, c_shared) | (~node63(c_p0, s0)))),
% 49.24/31.86 inference(rewrite,[status(thm)],[])).
% 49.24/31.86 tff(4132,plain,
% 49.24/31.86 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p0, s0, c_shared) | (~node63(c_p0, s0)))),
% 49.24/31.86 inference(quant_inst,[status(thm)],[])).
% 49.24/31.86 tff(4133,plain,
% 49.24/31.86 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p0, s0, c_shared) | (~node63(c_p0, s0))),
% 49.24/31.86 inference(modus_ponens,[status(thm)],[4132, 4131])).
% 49.24/31.86 tff(4134,plain,
% 49.24/31.86 (~node63(c_p0, s0)),
% 49.24/31.86 inference(unit_resolution,[status(thm)],[4133, 1809, 2826])).
% 49.24/31.86 tff(4135,plain,
% 49.24/31.86 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s0, c_invalid)) | (~m_processor_v_state(c_p0, s0, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s0, c_invalid)) | (~m_processor_v_state(c_p0, s0, c_owned)))),
% 49.24/31.86 inference(rewrite,[status(thm)],[])).
% 49.24/31.86 tff(4136,plain,
% 49.24/31.86 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s0, c_invalid)) | (~m_processor_v_state(c_p0, s0, c_owned)))),
% 49.24/31.86 inference(quant_inst,[status(thm)],[])).
% 49.24/31.86 tff(4137,plain,
% 49.24/31.86 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s0, c_invalid)) | (~m_processor_v_state(c_p0, s0, c_owned))),
% 49.24/31.86 inference(modus_ponens,[status(thm)],[4136, 4135])).
% 49.24/31.86 tff(4138,plain,
% 49.24/31.86 (~m_processor_v_state(c_p0, s0, c_owned)),
% 49.24/31.86 inference(unit_resolution,[status(thm)],[4137, 137, 2794])).
% 49.24/31.86 tff(4139,plain,
% 49.24/31.86 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))) | ((~node64(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))) | (~node64(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))),
% 49.24/31.86 inference(rewrite,[status(thm)],[])).
% 49.24/31.86 tff(4140,plain,
% 49.24/31.86 ((m_processor_v_state(c_p0, s0, c_owned) | (~node64(c_p0, s0))) <=> ((~node64(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))),
% 49.24/31.86 inference(rewrite,[status(thm)],[])).
% 49.24/31.86 tff(4141,plain,
% 49.24/31.86 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node64(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))) | ((~node64(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned)))),
% 49.24/31.86 inference(monotonicity,[status(thm)],[4140])).
% 49.24/31.86 tff(4142,plain,
% 49.24/31.86 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node64(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))) | (~node64(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))),
% 49.24/31.86 inference(transitivity,[status(thm)],[4141, 4139])).
% 49.24/31.86 tff(4143,plain,
% 49.24/31.86 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node64(c_p0, s0)))),
% 49.24/31.86 inference(quant_inst,[status(thm)],[])).
% 49.24/31.86 tff(4144,plain,
% 49.24/31.86 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node64(I0, X)))) | (~node64(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned)),
% 49.24/31.86 inference(modus_ponens,[status(thm)],[4143, 4142])).
% 49.24/31.86 tff(4145,plain,
% 49.24/31.86 (~node64(c_p0, s0)),
% 49.24/31.86 inference(unit_resolution,[status(thm)],[4144, 1776, 4138])).
% 49.24/31.86 tff(4146,plain,
% 49.24/31.86 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))) | ((~node65(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))) | (~node65(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))),
% 49.24/31.86 inference(rewrite,[status(thm)],[])).
% 49.24/31.86 tff(4147,plain,
% 49.24/31.86 ((m_processor_v_state(c_p0, s0, c_owned) | (~node65(c_p0, s0))) <=> ((~node65(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))),
% 49.24/31.86 inference(rewrite,[status(thm)],[])).
% 49.24/31.86 tff(4148,plain,
% 49.24/31.86 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node65(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))) | ((~node65(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned)))),
% 49.24/31.86 inference(monotonicity,[status(thm)],[4147])).
% 49.24/31.86 tff(4149,plain,
% 49.24/31.86 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node65(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))) | (~node65(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))),
% 49.24/31.86 inference(transitivity,[status(thm)],[4148, 4146])).
% 49.24/31.86 tff(4150,plain,
% 49.24/31.86 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node65(c_p0, s0)))),
% 49.24/31.86 inference(quant_inst,[status(thm)],[])).
% 49.24/31.86 tff(4151,plain,
% 49.24/31.86 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node65(I0, X)))) | (~node65(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned)),
% 49.24/31.86 inference(modus_ponens,[status(thm)],[4150, 4149])).
% 49.24/31.86 tff(4152,plain,
% 49.24/31.86 (~node65(c_p0, s0)),
% 49.24/31.86 inference(unit_resolution,[status(thm)],[4151, 1787, 4138])).
% 49.24/31.86 tff(4153,plain,
% 49.24/31.86 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))) | ((~node66(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))) | (~node66(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))),
% 49.24/31.86 inference(rewrite,[status(thm)],[])).
% 49.24/31.86 tff(4154,plain,
% 49.24/31.86 ((m_processor_v_state(c_p0, s0, c_owned) | (~node66(c_p0, s0))) <=> ((~node66(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))),
% 49.24/31.86 inference(rewrite,[status(thm)],[])).
% 49.24/31.86 tff(4155,plain,
% 49.24/31.86 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node66(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))) | ((~node66(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned)))),
% 49.24/31.86 inference(monotonicity,[status(thm)],[4154])).
% 49.24/31.86 tff(4156,plain,
% 49.24/31.86 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node66(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))) | (~node66(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))),
% 49.24/31.86 inference(transitivity,[status(thm)],[4155, 4153])).
% 49.24/31.86 tff(4157,plain,
% 49.24/31.86 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node66(c_p0, s0)))),
% 49.24/31.86 inference(quant_inst,[status(thm)],[])).
% 49.24/31.86 tff(4158,plain,
% 49.24/31.86 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node66(I0, X)))) | (~node66(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned)),
% 49.24/31.86 inference(modus_ponens,[status(thm)],[4157, 4156])).
% 49.24/31.86 tff(4159,plain,
% 49.24/31.86 (~node66(c_p0, s0)),
% 49.24/31.86 inference(unit_resolution,[status(thm)],[4158, 1765, 4138])).
% 49.24/31.86 tff(4160,plain,
% 49.24/31.86 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node66(c_p0, s0) | m_processor_v_cmd(c_p0, s0, c_idle) | node62(c_p0, s0) | node63(c_p0, s0) | node64(c_p0, s0) | node65(c_p0, s0))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node66(c_p0, s0) | m_processor_v_cmd(c_p0, s0, c_idle) | node62(c_p0, s0) | node63(c_p0, s0) | node64(c_p0, s0) | node65(c_p0, s0))),
% 49.24/31.86 inference(rewrite,[status(thm)],[])).
% 49.24/31.86 tff(4161,plain,
% 49.24/31.86 ((m_processor_v_cmd(c_p0, s0, c_idle) | node62(c_p0, s0) | node63(c_p0, s0) | node64(c_p0, s0) | node65(c_p0, s0) | node66(c_p0, s0)) <=> (node66(c_p0, s0) | m_processor_v_cmd(c_p0, s0, c_idle) | node62(c_p0, s0) | node63(c_p0, s0) | node64(c_p0, s0) | node65(c_p0, s0))),
% 49.24/31.86 inference(rewrite,[status(thm)],[])).
% 49.24/31.86 tff(4162,plain,
% 49.24/31.86 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s0, c_idle) | node62(c_p0, s0) | node63(c_p0, s0) | node64(c_p0, s0) | node65(c_p0, s0) | node66(c_p0, s0))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node66(c_p0, s0) | m_processor_v_cmd(c_p0, s0, c_idle) | node62(c_p0, s0) | node63(c_p0, s0) | node64(c_p0, s0) | node65(c_p0, s0)))),
% 49.24/31.86 inference(monotonicity,[status(thm)],[4161])).
% 49.24/31.86 tff(4163,plain,
% 49.24/31.86 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s0, c_idle) | node62(c_p0, s0) | node63(c_p0, s0) | node64(c_p0, s0) | node65(c_p0, s0) | node66(c_p0, s0))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node66(c_p0, s0) | m_processor_v_cmd(c_p0, s0, c_idle) | node62(c_p0, s0) | node63(c_p0, s0) | node64(c_p0, s0) | node65(c_p0, s0))),
% 49.24/31.86 inference(transitivity,[status(thm)],[4162, 4160])).
% 49.24/31.86 tff(4164,plain,
% 49.24/31.86 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s0, c_idle) | node62(c_p0, s0) | node63(c_p0, s0) | node64(c_p0, s0) | node65(c_p0, s0) | node66(c_p0, s0))),
% 49.24/31.86 inference(quant_inst,[status(thm)],[])).
% 49.24/31.86 tff(4165,plain,
% 49.24/31.86 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node66(c_p0, s0) | m_processor_v_cmd(c_p0, s0, c_idle) | node62(c_p0, s0) | node63(c_p0, s0) | node64(c_p0, s0) | node65(c_p0, s0)),
% 49.24/31.86 inference(modus_ponens,[status(thm)],[4164, 4163])).
% 49.24/31.86 tff(4166,plain,
% 49.24/31.86 (m_processor_v_cmd(c_p0, s0, c_idle) | node62(c_p0, s0)),
% 49.24/31.86 inference(unit_resolution,[status(thm)],[4165, 1508, 4159, 4152, 4145, 4134])).
% 49.24/31.86 tff(4167,plain,
% 49.24/31.86 (m_processor_v_cmd(c_p0, s0, c_idle)),
% 49.24/31.86 inference(unit_resolution,[status(thm)],[4166, 4130])).
% 49.24/31.86 tff(4168,assumption,(node20(c_m, s0)), introduced(assumption)).
% 49.24/31.86 tff(4169,assumption,(m_memory_v_CMD(c_m, s0, c_read_h_shared)), introduced(assumption)).
% 49.24/31.86 tff(4170,plain,
% 49.24/31.86 (^[I0: $i, X: $i] : refl(((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared))) <=> ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared))))),
% 49.24/31.86 inference(bind,[status(th)],[])).
% 49.24/31.86 tff(4171,plain,
% 49.24/31.86 (![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared))) <=> ![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))),
% 49.24/31.86 inference(quant_intro,[status(thm)],[4170])).
% 49.24/31.86 tff(4172,plain,
% 49.24/31.86 (![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared))) <=> ![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))),
% 49.24/31.86 inference(rewrite,[status(thm)],[])).
% 49.24/31.86 tff(4173,plain,
% 49.24/31.86 (^[I0: $i, X: $i] : rewrite(((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node20(I0, X))) <=> ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared))))),
% 49.24/31.86 inference(bind,[status(th)],[])).
% 49.24/31.86 tff(4174,plain,
% 49.24/31.86 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node20(I0, X))) <=> ![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))),
% 49.24/31.86 inference(quant_intro,[status(thm)],[4173])).
% 49.24/31.86 tff(4175,axiom,(![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node20(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_44')).
% 49.24/31.86 tff(4176,plain,
% 49.24/31.86 (![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))),
% 49.24/31.86 inference(modus_ponens,[status(thm)],[4175, 4174])).
% 49.24/31.86 tff(4177,plain,
% 49.24/31.86 (![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))),
% 49.24/31.86 inference(modus_ponens,[status(thm)],[4176, 4172])).
% 49.24/31.86 tff(4178,plain,(
% 49.24/31.86 ![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))),
% 49.24/31.86 inference(skolemize,[status(sab)],[4177])).
% 49.24/31.86 tff(4179,plain,
% 49.24/31.86 (![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))),
% 49.24/31.86 inference(modus_ponens,[status(thm)],[4178, 4171])).
% 49.24/31.86 tff(4180,plain,
% 49.24/31.86 (((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))) | ((~node20(c_m, s0)) | (~m_memory_v_CMD(c_m, s0, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))) | (~node20(c_m, s0)) | (~m_memory_v_CMD(c_m, s0, c_read_h_shared)))),
% 49.24/31.86 inference(rewrite,[status(thm)],[])).
% 49.24/31.86 tff(4181,plain,
% 49.24/31.86 ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))) | ((~node20(c_m, s0)) | (~m_memory_v_CMD(c_m, s0, c_read_h_shared)))),
% 49.24/31.86 inference(quant_inst,[status(thm)],[])).
% 49.24/31.86 tff(4182,plain,
% 49.24/31.86 ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))) | (~node20(c_m, s0)) | (~m_memory_v_CMD(c_m, s0, c_read_h_shared))),
% 49.24/31.86 inference(modus_ponens,[status(thm)],[4181, 4180])).
% 49.24/31.86 tff(4183,plain,
% 49.24/31.86 ($false),
% 49.24/31.86 inference(unit_resolution,[status(thm)],[4182, 4179, 4169, 4168])).
% 49.24/31.86 tff(4184,plain,((~node20(c_m, s0)) | (~m_memory_v_CMD(c_m, s0, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 49.24/31.86 tff(4185,plain,
% 49.24/31.86 (~m_memory_v_CMD(c_m, s0, c_read_h_shared)),
% 49.24/31.86 inference(unit_resolution,[status(thm)],[4184, 4168])).
% 49.24/31.86 tff(4186,assumption,(~m_memory_v_CMD(c_m, s0, c_read_h_shared)), introduced(assumption)).
% 49.24/31.86 tff(4187,assumption,(~node1(s0)), introduced(assumption)).
% 49.24/31.86 tff(4188,plain,
% 49.24/31.86 (^[X: $i] : refl(node1(X) <=> node1(X))),
% 49.24/31.86 inference(bind,[status(th)],[])).
% 49.24/31.86 tff(4189,plain,
% 49.24/31.86 (![X: $i] : node1(X) <=> ![X: $i] : node1(X)),
% 49.24/31.86 inference(quant_intro,[status(thm)],[4188])).
% 49.24/31.86 tff(4190,plain,
% 49.24/31.86 (![X: $i] : node1(X) <=> ![X: $i] : node1(X)),
% 49.24/31.86 inference(rewrite,[status(thm)],[])).
% 49.24/31.86 tff(4191,axiom,(![X: $i] : node1(X)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_40')).
% 49.24/31.86 tff(4192,plain,
% 49.24/31.86 (![X: $i] : node1(X)),
% 49.24/31.86 inference(modus_ponens,[status(thm)],[4191, 4190])).
% 49.24/31.86 tff(4193,plain,(
% 49.24/31.86 ![X: $i] : node1(X)),
% 49.24/31.86 inference(skolemize,[status(sab)],[4192])).
% 49.24/31.86 tff(4194,plain,
% 49.24/31.86 (![X: $i] : node1(X)),
% 49.24/31.86 inference(modus_ponens,[status(thm)],[4193, 4189])).
% 49.24/31.86 tff(4195,plain,
% 49.24/31.86 ((~![X: $i] : node1(X)) | node1(s0)),
% 49.24/31.86 inference(quant_inst,[status(thm)],[])).
% 49.24/31.86 tff(4196,plain,
% 49.24/31.86 ($false),
% 49.24/31.86 inference(unit_resolution,[status(thm)],[4195, 4194, 4187])).
% 49.24/31.86 tff(4197,plain,(node1(s0)), inference(lemma,lemma(discharge,[]))).
% 49.24/31.86 tff(4198,plain,
% 49.24/31.86 (^[V: $i, X: $i] : refl(((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V)) <=> ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V)))),
% 49.24/31.86 inference(bind,[status(th)],[])).
% 49.24/31.86 tff(4199,plain,
% 49.24/31.86 (![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V)) <=> ![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))),
% 49.24/31.86 inference(quant_intro,[status(thm)],[4198])).
% 49.24/31.86 tff(4200,plain,
% 49.24/31.86 (![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V)) <=> ![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))),
% 49.24/31.86 inference(rewrite,[status(thm)],[])).
% 49.24/31.86 tff(4201,plain,
% 49.24/31.86 (^[V: $i, X: $i] : trans(monotonicity(rewrite((m_memory_v_CMD(c_m, X, V) | (~m_main_v_CMD(X, V))) <=> ((~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))), (((m_memory_v_CMD(c_m, X, V) | (~m_main_v_CMD(X, V))) | (~node1(X))) <=> (((~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V)) | (~node1(X))))), rewrite((((~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V)) | (~node1(X))) <=> ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))), (((m_memory_v_CMD(c_m, X, V) | (~m_main_v_CMD(X, V))) | (~node1(X))) <=> ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))))),
% 49.24/31.86 inference(bind,[status(th)],[])).
% 49.24/31.86 tff(4202,plain,
% 49.24/31.86 (![V: $i, X: $i] : ((m_memory_v_CMD(c_m, X, V) | (~m_main_v_CMD(X, V))) | (~node1(X))) <=> ![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))),
% 49.24/31.86 inference(quant_intro,[status(thm)],[4201])).
% 49.24/31.86 tff(4203,axiom,(![V: $i, X: $i] : ((m_memory_v_CMD(c_m, X, V) | (~m_main_v_CMD(X, V))) | (~node1(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_38')).
% 49.24/31.86 tff(4204,plain,
% 49.24/31.86 (![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))),
% 49.24/31.86 inference(modus_ponens,[status(thm)],[4203, 4202])).
% 49.24/31.86 tff(4205,plain,
% 49.24/31.86 (![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))),
% 49.24/31.86 inference(modus_ponens,[status(thm)],[4204, 4200])).
% 49.24/31.86 tff(4206,plain,(
% 49.24/31.86 ![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))),
% 49.24/31.86 inference(skolemize,[status(sab)],[4205])).
% 49.24/31.86 tff(4207,plain,
% 49.24/31.86 (![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))),
% 49.24/31.86 inference(modus_ponens,[status(thm)],[4206, 4199])).
% 49.24/31.86 tff(4208,plain,
% 49.24/31.86 (((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s0)) | (~m_main_v_CMD(s0, c_read_h_shared)) | m_memory_v_CMD(c_m, s0, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s0)) | (~m_main_v_CMD(s0, c_read_h_shared)) | m_memory_v_CMD(c_m, s0, c_read_h_shared))),
% 49.24/31.86 inference(rewrite,[status(thm)],[])).
% 49.24/31.86 tff(4209,plain,
% 49.24/31.86 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s0)) | (~m_main_v_CMD(s0, c_read_h_shared)) | m_memory_v_CMD(c_m, s0, c_read_h_shared))),
% 49.24/31.86 inference(quant_inst,[status(thm)],[])).
% 49.24/31.86 tff(4210,plain,
% 49.24/31.86 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s0)) | (~m_main_v_CMD(s0, c_read_h_shared)) | m_memory_v_CMD(c_m, s0, c_read_h_shared)),
% 49.24/31.86 inference(modus_ponens,[status(thm)],[4209, 4208])).
% 49.24/31.86 tff(4211,plain,
% 49.24/31.86 ($false),
% 49.24/31.86 inference(unit_resolution,[status(thm)],[4210, 4207, 4197, 2864, 4186])).
% 49.24/31.86 tff(4212,plain,((~m_main_v_CMD(s0, c_read_h_shared)) | m_memory_v_CMD(c_m, s0, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.24/31.86 tff(4213,plain,
% 49.24/31.86 (~m_main_v_CMD(s0, c_read_h_shared)),
% 49.24/31.86 inference(unit_resolution,[status(thm)],[4212, 4185])).
% 49.24/31.86 tff(4214,assumption,(~node33(c_p1, s0, s1)), introduced(assumption)).
% 49.24/31.86 tff(4215,assumption,(node34(c_p1, s0, s1)), introduced(assumption)).
% 49.24/31.86 tff(4216,plain,
% 49.24/31.86 (^[I0: $i, X: $i] : refl(((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned))) <=> ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned))))),
% 49.24/31.86 inference(bind,[status(th)],[])).
% 49.24/31.86 tff(4217,plain,
% 49.24/31.86 (![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned))) <=> ![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))),
% 49.24/31.86 inference(quant_intro,[status(thm)],[4216])).
% 49.24/31.86 tff(4218,plain,
% 49.24/31.86 (![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned))) <=> ![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))),
% 49.24/31.86 inference(rewrite,[status(thm)],[])).
% 49.24/31.86 tff(4219,plain,
% 49.24/31.86 (^[I0: $i, X: $i] : rewrite(((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node20(I0, X))) <=> ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned))))),
% 49.24/31.86 inference(bind,[status(th)],[])).
% 49.24/31.86 tff(4220,plain,
% 49.24/31.86 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node20(I0, X))) <=> ![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))),
% 49.24/31.86 inference(quant_intro,[status(thm)],[4219])).
% 49.24/31.86 tff(4221,axiom,(![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node20(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_43')).
% 49.24/31.86 tff(4222,plain,
% 49.24/31.86 (![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))),
% 49.24/31.86 inference(modus_ponens,[status(thm)],[4221, 4220])).
% 49.24/31.86 tff(4223,plain,
% 49.24/31.86 (![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))),
% 49.24/31.86 inference(modus_ponens,[status(thm)],[4222, 4218])).
% 49.24/31.86 tff(4224,plain,(
% 49.24/31.86 ![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))),
% 49.24/31.86 inference(skolemize,[status(sab)],[4223])).
% 49.24/31.86 tff(4225,plain,
% 49.24/31.86 (![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))),
% 49.24/31.86 inference(modus_ponens,[status(thm)],[4224, 4217])).
% 49.25/31.86 tff(4226,plain,
% 49.25/31.86 (((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))) | ((~node20(c_m, s0)) | (~m_memory_v_CMD(c_m, s0, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))) | (~node20(c_m, s0)) | (~m_memory_v_CMD(c_m, s0, c_read_h_owned)))),
% 49.25/31.86 inference(rewrite,[status(thm)],[])).
% 49.25/31.86 tff(4227,plain,
% 49.25/31.86 ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))) | ((~node20(c_m, s0)) | (~m_memory_v_CMD(c_m, s0, c_read_h_owned)))),
% 49.25/31.86 inference(quant_inst,[status(thm)],[])).
% 49.25/31.86 tff(4228,plain,
% 49.25/31.86 ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))) | (~node20(c_m, s0)) | (~m_memory_v_CMD(c_m, s0, c_read_h_owned))),
% 49.25/31.86 inference(modus_ponens,[status(thm)],[4227, 4226])).
% 49.25/31.86 tff(4229,plain,
% 49.25/31.86 (~m_memory_v_CMD(c_m, s0, c_read_h_owned)),
% 49.25/31.86 inference(unit_resolution,[status(thm)],[4228, 4225, 4168])).
% 49.25/31.86 tff(4230,plain,
% 49.25/31.86 (((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s0)) | (~m_main_v_CMD(s0, c_read_h_owned)) | m_memory_v_CMD(c_m, s0, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s0)) | (~m_main_v_CMD(s0, c_read_h_owned)) | m_memory_v_CMD(c_m, s0, c_read_h_owned))),
% 49.25/31.86 inference(rewrite,[status(thm)],[])).
% 49.25/31.86 tff(4231,plain,
% 49.25/31.86 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s0)) | (~m_main_v_CMD(s0, c_read_h_owned)) | m_memory_v_CMD(c_m, s0, c_read_h_owned))),
% 49.25/31.86 inference(quant_inst,[status(thm)],[])).
% 49.25/31.86 tff(4232,plain,
% 49.25/31.86 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s0)) | (~m_main_v_CMD(s0, c_read_h_owned)) | m_memory_v_CMD(c_m, s0, c_read_h_owned)),
% 49.25/31.86 inference(modus_ponens,[status(thm)],[4231, 4230])).
% 49.25/31.86 tff(4233,plain,
% 49.25/31.86 (~m_main_v_CMD(s0, c_read_h_owned)),
% 49.25/31.86 inference(unit_resolution,[status(thm)],[4232, 4207, 4197, 4229])).
% 49.25/31.86 tff(4234,assumption,(m_processor_v_cmd(c_p0, s0, c_idle)), introduced(assumption)).
% 49.25/31.86 tff(4235,assumption,(m_processor_v_cmd(c_p1, s0, c_read_h_owned)), introduced(assumption)).
% 49.25/31.86 tff(4236,assumption,(node10(s0)), introduced(assumption)).
% 49.25/31.86 tff(4237,plain,
% 49.25/31.86 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s0, c_read_h_owned) | (~node10(s0)) | (~m_processor_v_cmd(c_p1, s0, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | m_main_v_CMD(s0, c_read_h_owned) | (~node10(s0)) | (~m_processor_v_cmd(c_p1, s0, c_read_h_owned)))),
% 49.25/31.86 inference(rewrite,[status(thm)],[])).
% 49.25/31.86 tff(4238,plain,
% 49.25/31.86 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s0, c_read_h_owned) | (~node10(s0)) | (~m_processor_v_cmd(c_p1, s0, c_read_h_owned)))),
% 49.25/31.86 inference(quant_inst,[status(thm)],[])).
% 49.25/31.86 tff(4239,plain,
% 49.25/31.86 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | m_main_v_CMD(s0, c_read_h_owned) | (~node10(s0)) | (~m_processor_v_cmd(c_p1, s0, c_read_h_owned))),
% 49.25/31.86 inference(modus_ponens,[status(thm)],[4238, 4237])).
% 49.25/31.86 tff(4240,plain,
% 49.25/31.86 ($false),
% 49.25/31.86 inference(unit_resolution,[status(thm)],[4239, 3481, 4235, 2879, 4236])).
% 49.25/31.86 tff(4241,plain,(m_main_v_CMD(s0, c_read_h_owned) | (~m_processor_v_cmd(c_p1, s0, c_read_h_owned)) | (~node10(s0))), inference(lemma,lemma(discharge,[]))).
% 49.25/31.86 tff(4242,plain,
% 49.25/31.86 (~node10(s0)),
% 49.25/31.86 inference(unit_resolution,[status(thm)],[4241, 2879, 4235])).
% 49.25/31.86 tff(4243,assumption,(~node10(s0)), introduced(assumption)).
% 49.25/31.86 tff(4244,assumption,(~node9(s0)), introduced(assumption)).
% 49.25/31.86 tff(4245,assumption,(m_memory_v_busy(c_m, s0)), introduced(assumption)).
% 49.25/31.86 tff(4246,plain,
% 49.25/31.86 (^[I0: $i] : refl((~m_memory_v_busy(I0, s0)) <=> (~m_memory_v_busy(I0, s0)))),
% 49.25/31.86 inference(bind,[status(th)],[])).
% 49.25/31.86 tff(4247,plain,
% 49.25/31.86 (![I0: $i] : (~m_memory_v_busy(I0, s0)) <=> ![I0: $i] : (~m_memory_v_busy(I0, s0))),
% 49.25/31.86 inference(quant_intro,[status(thm)],[4246])).
% 49.25/31.86 tff(4248,plain,
% 49.25/31.86 (![I0: $i] : (~m_memory_v_busy(I0, s0)) <=> ![I0: $i] : (~m_memory_v_busy(I0, s0))),
% 49.25/31.86 inference(rewrite,[status(thm)],[])).
% 49.25/31.86 tff(4249,axiom,(![I0: $i] : (~m_memory_v_busy(I0, s0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_38')).
% 49.25/31.86 tff(4250,plain,
% 49.25/31.86 (![I0: $i] : (~m_memory_v_busy(I0, s0))),
% 49.25/31.86 inference(modus_ponens,[status(thm)],[4249, 4248])).
% 49.25/31.86 tff(4251,plain,(
% 49.25/31.86 ![I0: $i] : (~m_memory_v_busy(I0, s0))),
% 49.25/31.86 inference(skolemize,[status(sab)],[4250])).
% 49.25/31.86 tff(4252,plain,
% 49.25/31.86 (![I0: $i] : (~m_memory_v_busy(I0, s0))),
% 49.25/31.86 inference(modus_ponens,[status(thm)],[4251, 4247])).
% 49.25/31.86 tff(4253,plain,
% 49.25/31.86 ((~![I0: $i] : (~m_memory_v_busy(I0, s0))) | (~m_memory_v_busy(c_m, s0))),
% 49.25/31.86 inference(quant_inst,[status(thm)],[])).
% 49.25/31.86 tff(4254,plain,
% 49.25/31.86 ($false),
% 49.25/31.86 inference(unit_resolution,[status(thm)],[4253, 4252, 4245])).
% 49.25/31.86 tff(4255,plain,(~m_memory_v_busy(c_m, s0)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.86 tff(4256,assumption,(~m_memory_v_busy(c_m, s0)), introduced(assumption)).
% 49.25/31.87 tff(4257,assumption,(node29(c_m, s0)), introduced(assumption)).
% 49.25/31.87 tff(4258,plain,
% 49.25/31.87 (((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | ((~node29(c_m, s0)) | m_memory_v_busy(c_m, s0))) <=> ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (~node29(c_m, s0)) | m_memory_v_busy(c_m, s0))),
% 49.25/31.87 inference(rewrite,[status(thm)],[])).
% 49.25/31.87 tff(4259,plain,
% 49.25/31.87 ((m_memory_v_busy(c_m, s0) | (~node29(c_m, s0))) <=> ((~node29(c_m, s0)) | m_memory_v_busy(c_m, s0))),
% 49.25/31.87 inference(rewrite,[status(thm)],[])).
% 49.25/31.87 tff(4260,plain,
% 49.25/31.87 (((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s0) | (~node29(c_m, s0)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | ((~node29(c_m, s0)) | m_memory_v_busy(c_m, s0)))),
% 49.25/31.87 inference(monotonicity,[status(thm)],[4259])).
% 49.25/31.87 tff(4261,plain,
% 49.25/31.87 (((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s0) | (~node29(c_m, s0)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (~node29(c_m, s0)) | m_memory_v_busy(c_m, s0))),
% 49.25/31.87 inference(transitivity,[status(thm)],[4260, 4258])).
% 49.25/31.87 tff(4262,plain,
% 49.25/31.87 ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s0) | (~node29(c_m, s0)))),
% 49.25/31.87 inference(quant_inst,[status(thm)],[])).
% 49.25/31.87 tff(4263,plain,
% 49.25/31.87 ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (~node29(c_m, s0)) | m_memory_v_busy(c_m, s0)),
% 49.25/31.87 inference(modus_ponens,[status(thm)],[4262, 4261])).
% 49.25/31.87 tff(4264,plain,
% 49.25/31.87 ($false),
% 49.25/31.87 inference(unit_resolution,[status(thm)],[4263, 2072, 4257, 4256])).
% 49.25/31.87 tff(4265,plain,(m_memory_v_busy(c_m, s0) | (~node29(c_m, s0))), inference(lemma,lemma(discharge,[]))).
% 49.25/31.87 tff(4266,plain,
% 49.25/31.87 (~node29(c_m, s0)),
% 49.25/31.87 inference(unit_resolution,[status(thm)],[4265, 4255])).
% 49.25/31.87 tff(4267,assumption,(~m_memory_v_cmd(c_m, s0, c_idle)), introduced(assumption)).
% 49.25/31.87 tff(4268,plain,
% 49.25/31.87 ($false),
% 49.25/31.87 inference(unit_resolution,[status(thm)],[2895, 1320, 4267, 4266])).
% 49.25/31.87 tff(4269,plain,(m_memory_v_cmd(c_m, s0, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.87 tff(4270,plain,
% 49.25/31.87 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | node9(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | node10(s0))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | node9(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | node10(s0))),
% 49.25/31.87 inference(rewrite,[status(thm)],[])).
% 49.25/31.87 tff(4271,plain,
% 49.25/31.87 ((node9(s0) | node10(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_idle))) <=> ((~m_processor_v_cmd(c_p0, s0, c_idle)) | node9(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | node10(s0))),
% 49.25/31.87 inference(rewrite,[status(thm)],[])).
% 49.25/31.87 tff(4272,plain,
% 49.25/31.87 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s0) | node10(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_idle)))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | node9(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | node10(s0)))),
% 49.25/31.87 inference(monotonicity,[status(thm)],[4271])).
% 49.25/31.87 tff(4273,plain,
% 49.25/31.87 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s0) | node10(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_idle)))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | node9(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | node10(s0))),
% 49.25/31.87 inference(transitivity,[status(thm)],[4272, 4270])).
% 49.25/31.87 tff(4274,plain,
% 49.25/31.87 ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s0) | node10(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_idle)))),
% 49.25/31.87 inference(quant_inst,[status(thm)],[])).
% 49.25/31.87 tff(4275,plain,
% 49.25/31.87 ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | node9(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | node10(s0)),
% 49.25/31.87 inference(modus_ponens,[status(thm)],[4274, 4273])).
% 49.25/31.87 tff(4276,plain,
% 49.25/31.87 ($false),
% 49.25/31.87 inference(unit_resolution,[status(thm)],[4275, 3461, 4234, 4269, 2933, 4244, 4243])).
% 49.25/31.87 tff(4277,plain,(node10(s0) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | node9(s0)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.87 tff(4278,plain,
% 49.25/31.87 (node9(s0)),
% 49.25/31.87 inference(unit_resolution,[status(thm)],[4277, 4242, 2933, 4234])).
% 49.25/31.87 tff(4279,plain,
% 49.25/31.87 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))) <=> ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))))),
% 49.25/31.87 inference(bind,[status(th)],[])).
% 49.25/31.87 tff(4280,plain,
% 49.25/31.87 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 49.25/31.87 inference(quant_intro,[status(thm)],[4279])).
% 49.25/31.87 tff(4281,plain,
% 49.25/31.87 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 49.25/31.87 inference(rewrite,[status(thm)],[])).
% 49.25/31.87 tff(4282,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_7')).
% 49.25/31.87 tff(4283,plain,
% 49.25/31.87 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 49.25/31.87 inference(modus_ponens,[status(thm)],[4282, 4281])).
% 49.25/31.87 tff(4284,plain,(
% 49.25/31.87 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 49.25/31.87 inference(skolemize,[status(sab)],[4283])).
% 49.25/31.87 tff(4285,plain,
% 49.25/31.87 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 49.25/31.87 inference(modus_ponens,[status(thm)],[4284, 4280])).
% 49.25/31.87 tff(4286,plain,
% 49.25/31.87 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared)))),
% 49.25/31.87 inference(rewrite,[status(thm)],[])).
% 49.25/31.87 tff(4287,plain,
% 49.25/31.87 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared)))),
% 49.25/31.87 inference(quant_inst,[status(thm)],[])).
% 49.25/31.87 tff(4288,plain,
% 49.25/31.87 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared))),
% 49.25/31.87 inference(modus_ponens,[status(thm)],[4287, 4286])).
% 49.25/31.87 tff(4289,plain,
% 49.25/31.87 (~m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared)),
% 49.25/31.87 inference(unit_resolution,[status(thm)],[4288, 4285, 4234])).
% 49.25/31.87 tff(4290,plain,
% 49.25/31.87 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid))) <=> ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid))))),
% 49.25/31.87 inference(bind,[status(th)],[])).
% 49.25/31.87 tff(4291,plain,
% 49.25/31.87 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))),
% 49.25/31.87 inference(quant_intro,[status(thm)],[4290])).
% 49.25/31.87 tff(4292,plain,
% 49.25/31.87 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))),
% 49.25/31.87 inference(rewrite,[status(thm)],[])).
% 49.25/31.87 tff(4293,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_6')).
% 49.25/31.87 tff(4294,plain,
% 49.25/31.87 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))),
% 49.25/31.87 inference(modus_ponens,[status(thm)],[4293, 4292])).
% 49.25/31.87 tff(4295,plain,(
% 49.25/31.87 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))),
% 49.25/31.87 inference(skolemize,[status(sab)],[4294])).
% 49.25/31.87 tff(4296,plain,
% 49.25/31.87 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))),
% 49.25/31.87 inference(modus_ponens,[status(thm)],[4295, 4291])).
% 49.25/31.87 tff(4297,plain,
% 49.25/31.87 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid)))),
% 49.25/31.87 inference(rewrite,[status(thm)],[])).
% 49.25/31.87 tff(4298,plain,
% 49.25/31.87 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid)))),
% 49.25/31.87 inference(quant_inst,[status(thm)],[])).
% 49.25/31.87 tff(4299,plain,
% 49.25/31.87 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid))),
% 49.25/31.87 inference(modus_ponens,[status(thm)],[4298, 4297])).
% 49.25/31.87 tff(4300,plain,
% 49.25/31.87 (~m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid)),
% 49.25/31.87 inference(unit_resolution,[status(thm)],[4299, 4296, 4234])).
% 49.25/31.87 tff(4301,plain,
% 49.25/31.87 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared))) <=> ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared))))),
% 49.25/31.87 inference(bind,[status(th)],[])).
% 49.25/31.87 tff(4302,plain,
% 49.25/31.87 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 49.25/31.87 inference(quant_intro,[status(thm)],[4301])).
% 49.25/31.87 tff(4303,plain,
% 49.25/31.87 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 49.25/31.87 inference(rewrite,[status(thm)],[])).
% 49.25/31.87 tff(4304,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_5')).
% 49.25/31.87 tff(4305,plain,
% 49.25/31.87 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 49.25/31.87 inference(modus_ponens,[status(thm)],[4304, 4303])).
% 49.25/31.87 tff(4306,plain,(
% 49.25/31.87 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 49.25/31.87 inference(skolemize,[status(sab)],[4305])).
% 49.25/31.87 tff(4307,plain,
% 49.25/31.87 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 49.25/31.87 inference(modus_ponens,[status(thm)],[4306, 4302])).
% 49.25/31.87 tff(4308,plain,
% 49.25/31.87 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_shared)))),
% 49.25/31.87 inference(rewrite,[status(thm)],[])).
% 49.25/31.87 tff(4309,plain,
% 49.25/31.87 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_shared)))),
% 49.25/31.87 inference(quant_inst,[status(thm)],[])).
% 49.25/31.87 tff(4310,plain,
% 49.25/31.87 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_shared))),
% 49.25/31.87 inference(modus_ponens,[status(thm)],[4309, 4308])).
% 49.25/31.87 tff(4311,plain,
% 49.25/31.87 (~m_processor_v_cmd(c_p0, s0, c_write_h_shared)),
% 49.25/31.87 inference(unit_resolution,[status(thm)],[4310, 4307, 4234])).
% 49.25/31.87 tff(4312,plain,
% 49.25/31.87 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_invalid)))),
% 49.25/31.87 inference(rewrite,[status(thm)],[])).
% 49.25/31.87 tff(4313,plain,
% 49.25/31.87 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_invalid)))),
% 49.25/31.87 inference(quant_inst,[status(thm)],[])).
% 49.25/31.87 tff(4314,plain,
% 49.25/31.87 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_write_h_invalid))),
% 49.25/31.87 inference(modus_ponens,[status(thm)],[4313, 4312])).
% 49.25/31.87 tff(4315,plain,
% 49.25/31.87 (~m_processor_v_cmd(c_p0, s0, c_write_h_invalid)),
% 49.25/31.87 inference(unit_resolution,[status(thm)],[4314, 3630, 4234])).
% 49.25/31.87 tff(4316,plain,
% 49.25/31.87 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_read_h_shared)))),
% 49.25/31.87 inference(rewrite,[status(thm)],[])).
% 49.25/31.87 tff(4317,plain,
% 49.25/31.87 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_read_h_shared)))),
% 49.25/31.87 inference(quant_inst,[status(thm)],[])).
% 49.25/31.87 tff(4318,plain,
% 49.25/31.87 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_read_h_shared))),
% 49.25/31.87 inference(modus_ponens,[status(thm)],[4317, 4316])).
% 49.25/31.87 tff(4319,plain,
% 49.25/31.87 (~m_processor_v_cmd(c_p0, s0, c_read_h_shared)),
% 49.25/31.87 inference(unit_resolution,[status(thm)],[4318, 3200, 4234])).
% 49.25/31.87 tff(4320,assumption,(m_processor_v_CMD(c_p1, s0, c_read_h_owned)), introduced(assumption)).
% 49.25/31.87 tff(4321,assumption,(~node3(s0)), introduced(assumption)).
% 49.25/31.87 tff(4322,plain,
% 49.25/31.87 ((~![X: $i] : node3(X)) | node3(s0)),
% 49.25/31.87 inference(quant_inst,[status(thm)],[])).
% 49.25/31.87 tff(4323,plain,
% 49.25/31.87 ($false),
% 49.25/31.87 inference(unit_resolution,[status(thm)],[4322, 1247, 4321])).
% 49.25/31.87 tff(4324,plain,(node3(s0)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.87 tff(4325,plain,
% 49.25/31.87 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_read_h_owned) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s0, c_read_h_owned) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)))),
% 49.25/31.87 inference(rewrite,[status(thm)],[])).
% 49.25/31.87 tff(4326,plain,
% 49.25/31.87 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_read_h_owned) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)))),
% 49.25/31.87 inference(quant_inst,[status(thm)],[])).
% 49.25/31.87 tff(4327,plain,
% 49.25/31.87 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s0, c_read_h_owned) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned))),
% 49.25/31.87 inference(modus_ponens,[status(thm)],[4326, 4325])).
% 49.25/31.87 tff(4328,plain,
% 49.25/31.87 ($false),
% 49.25/31.87 inference(unit_resolution,[status(thm)],[4327, 1260, 4324, 2879, 4320])).
% 49.25/31.87 tff(4329,plain,((~m_processor_v_CMD(c_p1, s0, c_read_h_owned)) | m_main_v_CMD(s0, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.87 tff(4330,plain,
% 49.25/31.87 (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)),
% 49.25/31.87 inference(unit_resolution,[status(thm)],[4329, 2879])).
% 49.25/31.87 tff(4331,assumption,(~m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid)), introduced(assumption)).
% 49.25/31.87 tff(4332,plain,
% 49.25/31.87 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid)))),
% 49.25/31.87 inference(rewrite,[status(thm)],[])).
% 49.25/31.87 tff(4333,plain,
% 49.25/31.87 (((~m_main_v_CMD(s0, c_write_h_resp_h_invalid)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid)) <=> (m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid)))),
% 49.25/31.87 inference(rewrite,[status(thm)],[])).
% 49.25/31.87 tff(4334,plain,
% 49.25/31.87 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_invalid)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid))))),
% 49.25/31.87 inference(monotonicity,[status(thm)],[4333])).
% 49.25/31.87 tff(4335,plain,
% 49.25/31.87 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_invalid)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid)))),
% 49.25/31.87 inference(transitivity,[status(thm)],[4334, 4332])).
% 49.25/31.87 tff(4336,plain,
% 49.25/31.87 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_invalid)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid))),
% 49.25/31.87 inference(quant_inst,[status(thm)],[])).
% 49.25/31.87 tff(4337,plain,
% 49.25/31.87 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid))),
% 49.25/31.87 inference(modus_ponens,[status(thm)],[4336, 4335])).
% 49.25/31.87 tff(4338,plain,
% 49.25/31.87 ((~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid))),
% 49.25/31.87 inference(unit_resolution,[status(thm)],[4337, 2191, 4331])).
% 49.25/31.87 tff(4339,plain,
% 49.25/31.87 (~m_main_v_CMD(s0, c_write_h_resp_h_invalid)),
% 49.25/31.87 inference(unit_resolution,[status(thm)],[4338, 2941])).
% 49.25/31.87 tff(4340,assumption,(m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)), introduced(assumption)).
% 49.25/31.87 tff(4341,assumption,(~m_main_v_CMD(s0, c_write_h_resp_h_invalid)), introduced(assumption)).
% 49.25/31.87 tff(4342,plain,
% 49.25/31.87 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_write_h_resp_h_invalid) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s0, c_write_h_resp_h_invalid) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)))),
% 49.25/31.87 inference(rewrite,[status(thm)],[])).
% 49.25/31.87 tff(4343,plain,
% 49.25/31.87 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_write_h_resp_h_invalid) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)))),
% 49.25/31.87 inference(quant_inst,[status(thm)],[])).
% 49.25/31.87 tff(4344,plain,
% 49.25/31.87 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s0, c_write_h_resp_h_invalid) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid))),
% 49.25/31.87 inference(modus_ponens,[status(thm)],[4343, 4342])).
% 49.25/31.87 tff(4345,plain,
% 49.25/31.87 ($false),
% 49.25/31.87 inference(unit_resolution,[status(thm)],[4344, 1260, 4324, 4341, 4340])).
% 49.25/31.87 tff(4346,plain,(m_main_v_CMD(s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid))), inference(lemma,lemma(discharge,[]))).
% 49.25/31.87 tff(4347,plain,
% 49.25/31.87 (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)),
% 49.25/31.87 inference(unit_resolution,[status(thm)],[4346, 4339])).
% 49.25/31.87 tff(4348,assumption,(~m_processor_v_cmd(c_p0, s0, c_write_h_invalid)), introduced(assumption)).
% 49.25/31.87 tff(4349,plain,
% 49.25/31.87 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s0, c_write_h_invalid) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_write_h_invalid) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_invalid)))),
% 49.25/31.87 inference(rewrite,[status(thm)],[])).
% 49.25/31.87 tff(4350,plain,
% 49.25/31.87 (((~m_main_v_CMD(s0, c_write_h_invalid)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_invalid)) <=> (m_processor_v_cmd(c_p0, s0, c_write_h_invalid) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_invalid)))),
% 49.25/31.87 inference(rewrite,[status(thm)],[])).
% 49.25/31.87 tff(4351,plain,
% 49.25/31.87 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_write_h_invalid)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s0, c_write_h_invalid) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_invalid))))),
% 49.25/31.87 inference(monotonicity,[status(thm)],[4350])).
% 49.25/31.87 tff(4352,plain,
% 49.25/31.87 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_write_h_invalid)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_write_h_invalid) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_invalid)))),
% 49.25/31.87 inference(transitivity,[status(thm)],[4351, 4349])).
% 49.25/31.87 tff(4353,plain,
% 49.25/31.87 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_write_h_invalid)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_invalid))),
% 49.25/31.87 inference(quant_inst,[status(thm)],[])).
% 49.25/31.87 tff(4354,plain,
% 49.25/31.87 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_write_h_invalid) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_invalid))),
% 49.25/31.87 inference(modus_ponens,[status(thm)],[4353, 4352])).
% 49.25/31.87 tff(4355,plain,
% 49.25/31.87 ((~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_invalid))),
% 49.25/31.87 inference(unit_resolution,[status(thm)],[4354, 2191, 4348])).
% 49.25/31.87 tff(4356,plain,
% 49.25/31.87 (~m_main_v_CMD(s0, c_write_h_invalid)),
% 49.25/31.87 inference(unit_resolution,[status(thm)],[4355, 2941])).
% 49.25/31.87 tff(4357,assumption,(m_processor_v_CMD(c_p1, s0, c_write_h_invalid)), introduced(assumption)).
% 49.25/31.87 tff(4358,assumption,(~m_main_v_CMD(s0, c_write_h_invalid)), introduced(assumption)).
% 49.25/31.87 tff(4359,plain,
% 49.25/31.87 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_write_h_invalid) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s0, c_write_h_invalid) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)))),
% 49.25/31.87 inference(rewrite,[status(thm)],[])).
% 49.25/31.87 tff(4360,plain,
% 49.25/31.87 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_write_h_invalid) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)))),
% 49.25/31.87 inference(quant_inst,[status(thm)],[])).
% 49.25/31.87 tff(4361,plain,
% 49.25/31.87 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s0, c_write_h_invalid) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid))),
% 49.25/31.87 inference(modus_ponens,[status(thm)],[4360, 4359])).
% 49.25/31.87 tff(4362,plain,
% 49.25/31.87 ($false),
% 49.25/31.87 inference(unit_resolution,[status(thm)],[4361, 1260, 4324, 4358, 4357])).
% 49.25/31.87 tff(4363,plain,(m_main_v_CMD(s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid))), inference(lemma,lemma(discharge,[]))).
% 49.25/31.87 tff(4364,plain,
% 49.25/31.87 (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)),
% 49.25/31.87 inference(unit_resolution,[status(thm)],[4363, 4356])).
% 49.25/31.87 tff(4365,assumption,(~m_processor_v_CMD(c_p1, s0, c_read_h_owned)), introduced(assumption)).
% 49.25/31.87 tff(4366,assumption,(~m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared)), introduced(assumption)).
% 49.25/31.87 tff(4367,plain,
% 49.25/31.87 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)))),
% 49.25/31.87 inference(rewrite,[status(thm)],[])).
% 49.25/31.87 tff(4368,plain,
% 49.25/31.87 (((~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared)) <=> (m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)))),
% 49.25/31.87 inference(rewrite,[status(thm)],[])).
% 49.25/31.87 tff(4369,plain,
% 49.25/31.87 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared))))),
% 49.25/31.87 inference(monotonicity,[status(thm)],[4368])).
% 49.25/31.87 tff(4370,plain,
% 49.25/31.87 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)))),
% 49.25/31.87 inference(transitivity,[status(thm)],[4369, 4367])).
% 49.25/31.87 tff(4371,plain,
% 49.25/31.87 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared))),
% 49.25/31.87 inference(quant_inst,[status(thm)],[])).
% 49.25/31.87 tff(4372,plain,
% 49.25/31.87 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared))),
% 49.25/31.87 inference(modus_ponens,[status(thm)],[4371, 4370])).
% 49.25/31.87 tff(4373,plain,
% 49.25/31.87 ((~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared))),
% 49.25/31.87 inference(unit_resolution,[status(thm)],[4372, 2191, 4366])).
% 49.25/31.87 tff(4374,plain,
% 49.25/31.87 (~m_main_v_CMD(s0, c_write_h_resp_h_shared)),
% 49.25/31.87 inference(unit_resolution,[status(thm)],[4373, 2941])).
% 49.25/31.87 tff(4375,assumption,(m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)), introduced(assumption)).
% 49.25/31.87 tff(4376,assumption,(~m_main_v_CMD(s0, c_write_h_resp_h_shared)), introduced(assumption)).
% 49.25/31.87 tff(4377,plain,
% 49.25/31.87 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_write_h_resp_h_shared) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s0, c_write_h_resp_h_shared) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)))),
% 49.25/31.87 inference(rewrite,[status(thm)],[])).
% 49.25/31.87 tff(4378,plain,
% 49.25/31.87 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_write_h_resp_h_shared) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)))),
% 49.25/31.87 inference(quant_inst,[status(thm)],[])).
% 49.25/31.87 tff(4379,plain,
% 49.25/31.87 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s0, c_write_h_resp_h_shared) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared))),
% 49.25/31.87 inference(modus_ponens,[status(thm)],[4378, 4377])).
% 49.25/31.87 tff(4380,plain,
% 49.25/31.87 ($false),
% 49.25/31.87 inference(unit_resolution,[status(thm)],[4379, 1260, 4324, 4376, 4375])).
% 49.25/31.87 tff(4381,plain,(m_main_v_CMD(s0, c_write_h_resp_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared))), inference(lemma,lemma(discharge,[]))).
% 49.25/31.87 tff(4382,plain,
% 49.25/31.87 (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)),
% 49.25/31.87 inference(unit_resolution,[status(thm)],[4381, 4374])).
% 49.25/31.87 tff(4383,assumption,(~m_processor_v_cmd(c_p0, s0, c_write_h_shared)), introduced(assumption)).
% 49.25/31.87 tff(4384,plain,
% 49.25/31.87 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s0, c_write_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_shared)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_write_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_shared)))),
% 49.25/31.88 inference(rewrite,[status(thm)],[])).
% 49.25/31.88 tff(4385,plain,
% 49.25/31.88 (((~m_main_v_CMD(s0, c_write_h_shared)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_shared)) <=> (m_processor_v_cmd(c_p0, s0, c_write_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_shared)))),
% 49.25/31.88 inference(rewrite,[status(thm)],[])).
% 49.25/31.88 tff(4386,plain,
% 49.25/31.88 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_write_h_shared)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s0, c_write_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_shared))))),
% 49.25/31.88 inference(monotonicity,[status(thm)],[4385])).
% 49.25/31.88 tff(4387,plain,
% 49.25/31.88 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_write_h_shared)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_write_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_shared)))),
% 49.25/31.88 inference(transitivity,[status(thm)],[4386, 4384])).
% 49.25/31.88 tff(4388,plain,
% 49.25/31.88 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_write_h_shared)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_write_h_shared))),
% 49.25/31.88 inference(quant_inst,[status(thm)],[])).
% 49.25/31.88 tff(4389,plain,
% 49.25/31.88 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_write_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_shared))),
% 49.25/31.88 inference(modus_ponens,[status(thm)],[4388, 4387])).
% 49.25/31.88 tff(4390,plain,
% 49.25/31.88 ((~node8(s0)) | (~m_main_v_CMD(s0, c_write_h_shared))),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4389, 2191, 4383])).
% 49.25/31.88 tff(4391,plain,
% 49.25/31.88 (~m_main_v_CMD(s0, c_write_h_shared)),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4390, 2941])).
% 49.25/31.88 tff(4392,assumption,(m_processor_v_CMD(c_p1, s0, c_write_h_shared)), introduced(assumption)).
% 49.25/31.88 tff(4393,assumption,(~m_main_v_CMD(s0, c_write_h_shared)), introduced(assumption)).
% 49.25/31.88 tff(4394,plain,
% 49.25/31.88 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_write_h_shared) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s0, c_write_h_shared) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared)))),
% 49.25/31.88 inference(rewrite,[status(thm)],[])).
% 49.25/31.88 tff(4395,plain,
% 49.25/31.88 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_write_h_shared) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared)))),
% 49.25/31.88 inference(quant_inst,[status(thm)],[])).
% 49.25/31.88 tff(4396,plain,
% 49.25/31.88 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s0, c_write_h_shared) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared))),
% 49.25/31.88 inference(modus_ponens,[status(thm)],[4395, 4394])).
% 49.25/31.88 tff(4397,plain,
% 49.25/31.88 ($false),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4396, 1260, 4324, 4393, 4392])).
% 49.25/31.88 tff(4398,plain,(m_main_v_CMD(s0, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared))), inference(lemma,lemma(discharge,[]))).
% 49.25/31.88 tff(4399,plain,
% 49.25/31.88 (~m_processor_v_CMD(c_p1, s0, c_write_h_shared)),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4398, 4391])).
% 49.25/31.88 tff(4400,assumption,(~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)), introduced(assumption)).
% 49.25/31.88 tff(4401,assumption,(~m_processor_v_CMD(c_p1, s0, c_write_h_shared)), introduced(assumption)).
% 49.25/31.88 tff(4402,assumption,(~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)), introduced(assumption)).
% 49.25/31.88 tff(4403,assumption,(~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)), introduced(assumption)).
% 49.25/31.88 tff(4404,assumption,(~m_processor_v_CMD(c_p1, s0, c_read_h_shared)), introduced(assumption)).
% 49.25/31.88 tff(4405,plain,
% 49.25/31.88 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | node33(c_p1, s0, s1) | (~node34(c_p1, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | node33(c_p1, s0, s1) | (~node34(c_p1, s0, s1)))),
% 49.25/31.88 inference(rewrite,[status(thm)],[])).
% 49.25/31.88 tff(4406,plain,
% 49.25/31.88 ((node33(c_p1, s0, s1) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | node33(c_p1, s0, s1) | (~node34(c_p1, s0, s1)))),
% 49.25/31.88 inference(rewrite,[status(thm)],[])).
% 49.25/31.88 tff(4407,plain,
% 49.25/31.88 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s0, s1) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | node33(c_p1, s0, s1) | (~node34(c_p1, s0, s1))))),
% 49.25/31.88 inference(monotonicity,[status(thm)],[4406])).
% 49.25/31.88 tff(4408,plain,
% 49.25/31.88 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s0, s1) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | node33(c_p1, s0, s1) | (~node34(c_p1, s0, s1)))),
% 49.25/31.88 inference(transitivity,[status(thm)],[4407, 4405])).
% 49.25/31.88 tff(4409,plain,
% 49.25/31.88 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s0, s1) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared))),
% 49.25/31.88 inference(quant_inst,[status(thm)],[])).
% 49.25/31.88 tff(4410,plain,
% 49.25/31.88 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | node33(c_p1, s0, s1) | (~node34(c_p1, s0, s1))),
% 49.25/31.88 inference(modus_ponens,[status(thm)],[4409, 4408])).
% 49.25/31.88 tff(4411,plain,
% 49.25/31.88 ($false),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4410, 474, 4214, 4365, 4404, 4403, 4402, 4401, 4400, 4215])).
% 49.25/31.88 tff(4412,plain,((~node34(c_p1, s0, s1)) | node33(c_p1, s0, s1) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.88 tff(4413,plain,
% 49.25/31.88 (m_processor_v_CMD(c_p1, s0, c_read_h_shared)),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4412, 4399, 4215, 4382, 4365, 4214, 4364, 4347])).
% 49.25/31.88 tff(4414,assumption,(~m_processor_v_cmd(c_p0, s0, c_read_h_shared)), introduced(assumption)).
% 49.25/31.88 tff(4415,plain,
% 49.25/31.88 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_read_h_shared)))),
% 49.25/31.88 inference(rewrite,[status(thm)],[])).
% 49.25/31.88 tff(4416,plain,
% 49.25/31.88 (((~m_main_v_CMD(s0, c_read_h_shared)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_read_h_shared)) <=> (m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_read_h_shared)))),
% 49.25/31.88 inference(rewrite,[status(thm)],[])).
% 49.25/31.88 tff(4417,plain,
% 49.25/31.88 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_read_h_shared)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_read_h_shared))))),
% 49.25/31.88 inference(monotonicity,[status(thm)],[4416])).
% 49.25/31.88 tff(4418,plain,
% 49.25/31.88 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_read_h_shared)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_read_h_shared)))),
% 49.25/31.88 inference(transitivity,[status(thm)],[4417, 4415])).
% 49.25/31.88 tff(4419,plain,
% 49.25/31.88 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s0, c_read_h_shared)) | (~node8(s0)) | m_processor_v_cmd(c_p0, s0, c_read_h_shared))),
% 49.25/31.88 inference(quant_inst,[status(thm)],[])).
% 49.25/31.88 tff(4420,plain,
% 49.25/31.88 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | (~node8(s0)) | (~m_main_v_CMD(s0, c_read_h_shared))),
% 49.25/31.88 inference(modus_ponens,[status(thm)],[4419, 4418])).
% 49.25/31.88 tff(4421,plain,
% 49.25/31.88 ((~node8(s0)) | (~m_main_v_CMD(s0, c_read_h_shared))),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4420, 2191, 4414])).
% 49.25/31.88 tff(4422,plain,
% 49.25/31.88 (~m_main_v_CMD(s0, c_read_h_shared)),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4421, 2941])).
% 49.25/31.88 tff(4423,plain,
% 49.25/31.88 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~node3(s0)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~node3(s0)))),
% 49.25/31.88 inference(rewrite,[status(thm)],[])).
% 49.25/31.88 tff(4424,plain,
% 49.25/31.88 ((m_main_v_CMD(s0, c_read_h_shared) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared))) <=> (m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~node3(s0)))),
% 49.25/31.88 inference(rewrite,[status(thm)],[])).
% 49.25/31.88 tff(4425,plain,
% 49.25/31.88 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~node3(s0))))),
% 49.25/31.88 inference(monotonicity,[status(thm)],[4424])).
% 49.25/31.88 tff(4426,plain,
% 49.25/31.88 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~node3(s0)))),
% 49.25/31.88 inference(transitivity,[status(thm)],[4425, 4423])).
% 49.25/31.88 tff(4427,plain,
% 49.25/31.88 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~node3(s0)) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)))),
% 49.25/31.88 inference(quant_inst,[status(thm)],[])).
% 49.25/31.88 tff(4428,plain,
% 49.25/31.88 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~node3(s0))),
% 49.25/31.88 inference(modus_ponens,[status(thm)],[4427, 4426])).
% 49.25/31.88 tff(4429,plain,
% 49.25/31.88 ($false),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4428, 1260, 4324, 4422, 4413])).
% 49.25/31.88 tff(4430,plain,((~node8(s0)) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | node33(c_p1, s0, s1) | m_processor_v_cmd(c_p0, s0, c_read_h_shared) | m_processor_v_cmd(c_p0, s0, c_write_h_invalid) | m_processor_v_cmd(c_p0, s0, c_write_h_shared) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid) | m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.88 tff(4431,plain,
% 49.25/31.88 (~node8(s0)),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4430, 4330, 4215, 4214, 4319, 4315, 4311, 4300, 4289])).
% 49.25/31.88 tff(4432,plain,
% 49.25/31.88 (node8(s0) | (~m_processor_v_cmd(c_p1, s0, c_idle)) | (~m_processor_v_cmd(c_p2, s0, c_idle))),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[2939, 4269])).
% 49.25/31.88 tff(4433,plain,
% 49.25/31.88 (~m_processor_v_cmd(c_p1, s0, c_idle)),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4432, 4431, 2933])).
% 49.25/31.88 tff(4434,plain,
% 49.25/31.88 (((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | (m_processor_v_cmd(c_p1, s0, c_idle) | (~node9(s0)))) <=> ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | m_processor_v_cmd(c_p1, s0, c_idle) | (~node9(s0)))),
% 49.25/31.88 inference(rewrite,[status(thm)],[])).
% 49.25/31.88 tff(4435,plain,
% 49.25/31.88 ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | (m_processor_v_cmd(c_p1, s0, c_idle) | (~node9(s0)))),
% 49.25/31.88 inference(quant_inst,[status(thm)],[])).
% 49.25/31.88 tff(4436,plain,
% 49.25/31.88 ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | m_processor_v_cmd(c_p1, s0, c_idle) | (~node9(s0))),
% 49.25/31.88 inference(modus_ponens,[status(thm)],[4435, 4434])).
% 49.25/31.88 tff(4437,plain,
% 49.25/31.88 ($false),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4436, 3443, 4433, 4278])).
% 49.25/31.88 tff(4438,plain,(m_main_v_CMD(s0, c_read_h_owned) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~node34(c_p1, s0, s1)) | node33(c_p1, s0, s1) | (~m_processor_v_cmd(c_p1, s0, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 49.25/31.88 tff(4439,plain,
% 49.25/31.88 (~m_processor_v_cmd(c_p1, s0, c_read_h_owned)),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4438, 4233, 4167, 4215, 4214, 2933])).
% 49.25/31.88 tff(4440,plain,
% 49.25/31.88 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p1, s0)) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_cmd(c_p1, s0, c_read_h_owned) | m_processor_v_cmd(c_p1, s0, c_read_h_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s0)) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_cmd(c_p1, s0, c_read_h_owned) | m_processor_v_cmd(c_p1, s0, c_read_h_shared))),
% 49.25/31.88 inference(rewrite,[status(thm)],[])).
% 49.25/31.88 tff(4441,plain,
% 49.25/31.88 ((m_processor_v_cmd(c_p1, s0, c_read_h_owned) | m_processor_v_cmd(c_p1, s0, c_read_h_shared) | (~m_processor_v_state(c_p1, s0, c_invalid)) | (~m_processor_v_master(c_p1, s0))) <=> ((~m_processor_v_master(c_p1, s0)) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_cmd(c_p1, s0, c_read_h_owned) | m_processor_v_cmd(c_p1, s0, c_read_h_shared))),
% 49.25/31.88 inference(rewrite,[status(thm)],[])).
% 49.25/31.88 tff(4442,plain,
% 49.25/31.88 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s0, c_read_h_owned) | m_processor_v_cmd(c_p1, s0, c_read_h_shared) | (~m_processor_v_state(c_p1, s0, c_invalid)) | (~m_processor_v_master(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p1, s0)) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_cmd(c_p1, s0, c_read_h_owned) | m_processor_v_cmd(c_p1, s0, c_read_h_shared)))),
% 49.25/31.88 inference(monotonicity,[status(thm)],[4441])).
% 49.25/31.88 tff(4443,plain,
% 49.25/31.88 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s0, c_read_h_owned) | m_processor_v_cmd(c_p1, s0, c_read_h_shared) | (~m_processor_v_state(c_p1, s0, c_invalid)) | (~m_processor_v_master(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s0)) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_cmd(c_p1, s0, c_read_h_owned) | m_processor_v_cmd(c_p1, s0, c_read_h_shared))),
% 49.25/31.88 inference(transitivity,[status(thm)],[4442, 4440])).
% 49.25/31.88 tff(4444,plain,
% 49.25/31.88 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s0, c_read_h_owned) | m_processor_v_cmd(c_p1, s0, c_read_h_shared) | (~m_processor_v_state(c_p1, s0, c_invalid)) | (~m_processor_v_master(c_p1, s0)))),
% 49.25/31.88 inference(quant_inst,[status(thm)],[])).
% 49.25/31.88 tff(4445,plain,
% 49.25/31.88 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s0)) | (~m_processor_v_state(c_p1, s0, c_invalid)) | m_processor_v_cmd(c_p1, s0, c_read_h_owned) | m_processor_v_cmd(c_p1, s0, c_read_h_shared)),
% 49.25/31.88 inference(modus_ponens,[status(thm)],[4444, 4443])).
% 49.25/31.88 tff(4446,plain,
% 49.25/31.88 ((~m_processor_v_master(c_p1, s0)) | m_processor_v_cmd(c_p1, s0, c_read_h_owned) | m_processor_v_cmd(c_p1, s0, c_read_h_shared)),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4445, 1835, 2988])).
% 49.25/31.88 tff(4447,plain,
% 49.25/31.88 (m_processor_v_cmd(c_p1, s0, c_read_h_shared)),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4446, 4439, 2969])).
% 49.25/31.88 tff(4448,assumption,(m_processor_v_cmd(c_p1, s0, c_read_h_shared)), introduced(assumption)).
% 49.25/31.88 tff(4449,plain,
% 49.25/31.88 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~node10(s0)) | (~m_processor_v_cmd(c_p1, s0, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | m_main_v_CMD(s0, c_read_h_shared) | (~node10(s0)) | (~m_processor_v_cmd(c_p1, s0, c_read_h_shared)))),
% 49.25/31.88 inference(rewrite,[status(thm)],[])).
% 49.25/31.88 tff(4450,plain,
% 49.25/31.88 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~node10(s0)) | (~m_processor_v_cmd(c_p1, s0, c_read_h_shared)))),
% 49.25/31.88 inference(quant_inst,[status(thm)],[])).
% 49.25/31.88 tff(4451,plain,
% 49.25/31.88 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | m_main_v_CMD(s0, c_read_h_shared) | (~node10(s0)) | (~m_processor_v_cmd(c_p1, s0, c_read_h_shared))),
% 49.25/31.88 inference(modus_ponens,[status(thm)],[4450, 4449])).
% 49.25/31.88 tff(4452,plain,
% 49.25/31.88 ($false),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4451, 3481, 4448, 2878, 4236])).
% 49.25/31.88 tff(4453,plain,(m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_cmd(c_p1, s0, c_read_h_shared)) | (~node10(s0))), inference(lemma,lemma(discharge,[]))).
% 49.25/31.88 tff(4454,plain,
% 49.25/31.88 (~node10(s0)),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4453, 4447, 4213])).
% 49.25/31.88 tff(4455,plain,
% 49.25/31.88 (node9(s0)),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4277, 4454, 2933, 4167])).
% 49.25/31.88 tff(4456,plain,
% 49.25/31.88 (~m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid)),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4299, 4296, 4167])).
% 49.25/31.88 tff(4457,plain,
% 49.25/31.88 (~m_processor_v_cmd(c_p0, s0, c_write_h_shared)),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4310, 4307, 4167])).
% 49.25/31.88 tff(4458,plain,
% 49.25/31.88 (~m_processor_v_cmd(c_p0, s0, c_write_h_invalid)),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4314, 3630, 4167])).
% 49.25/31.88 tff(4459,plain,
% 49.25/31.88 (~m_processor_v_cmd(c_p0, s0, c_read_h_shared)),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4318, 3200, 4167])).
% 49.25/31.88 tff(4460,plain,
% 49.25/31.88 (~m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared)),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4288, 4285, 4167])).
% 49.25/31.88 tff(4461,plain,
% 49.25/31.88 (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4329, 4233])).
% 49.25/31.88 tff(4462,plain,
% 49.25/31.88 (~node8(s0)),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4430, 4461, 4460, 4214, 4459, 4458, 4457, 4456, 4215])).
% 49.25/31.88 tff(4463,plain,
% 49.25/31.88 (~m_processor_v_cmd(c_p1, s0, c_idle)),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4432, 4462, 2933])).
% 49.25/31.88 tff(4464,plain,
% 49.25/31.88 ($false),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4436, 3443, 4463, 4455])).
% 49.25/31.88 tff(4465,plain,((~node20(c_m, s0)) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | (~m_processor_v_master(c_p1, s0)) | node33(c_p1, s0, s1) | (~node34(c_p1, s0, s1))), inference(lemma,lemma(discharge,[]))).
% 49.25/31.88 tff(4466,plain,
% 49.25/31.88 (~node20(c_m, s0)),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4465, 4125, 4121, 3965, 4032])).
% 49.25/31.88 tff(4467,assumption,(~node20(c_m, s0)), introduced(assumption)).
% 49.25/31.88 tff(4468,assumption,(~m_memory_v_abort(c_m, s0)), introduced(assumption)).
% 49.25/31.88 tff(4469,assumption,(~m_memory_v_master(c_m, s0)), introduced(assumption)).
% 49.25/31.88 tff(4470,assumption,(node19(c_m, s0)), introduced(assumption)).
% 49.25/31.88 tff(4471,plain,
% 49.25/31.88 (^[I0: $i, X: $i] : refl((m_memory_v_master(I0, X) | (~node19(I0, X))) <=> (m_memory_v_master(I0, X) | (~node19(I0, X))))),
% 49.25/31.88 inference(bind,[status(th)],[])).
% 49.25/31.88 tff(4472,plain,
% 49.25/31.88 (![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))),
% 49.25/31.88 inference(quant_intro,[status(thm)],[4471])).
% 49.25/31.88 tff(4473,plain,
% 49.25/31.88 (![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))),
% 49.25/31.88 inference(rewrite,[status(thm)],[])).
% 49.25/31.88 tff(4474,axiom,(![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_41')).
% 49.25/31.88 tff(4475,plain,
% 49.25/31.88 (![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))),
% 49.25/31.88 inference(modus_ponens,[status(thm)],[4474, 4473])).
% 49.25/31.88 tff(4476,plain,(
% 49.25/31.88 ![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))),
% 49.25/31.88 inference(skolemize,[status(sab)],[4475])).
% 49.25/31.88 tff(4477,plain,
% 49.25/31.88 (![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))),
% 49.25/31.88 inference(modus_ponens,[status(thm)],[4476, 4472])).
% 49.25/31.88 tff(4478,plain,
% 49.25/31.88 (((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | (m_memory_v_master(c_m, s0) | (~node19(c_m, s0)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | m_memory_v_master(c_m, s0) | (~node19(c_m, s0)))),
% 49.25/31.88 inference(rewrite,[status(thm)],[])).
% 49.25/31.88 tff(4479,plain,
% 49.25/31.88 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | (m_memory_v_master(c_m, s0) | (~node19(c_m, s0)))),
% 49.25/31.88 inference(quant_inst,[status(thm)],[])).
% 49.25/31.88 tff(4480,plain,
% 49.25/31.88 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | m_memory_v_master(c_m, s0) | (~node19(c_m, s0))),
% 49.25/31.88 inference(modus_ponens,[status(thm)],[4479, 4478])).
% 49.25/31.88 tff(4481,plain,
% 49.25/31.88 ($false),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4480, 4477, 4469, 4470])).
% 49.25/31.88 tff(4482,plain,((~node19(c_m, s0)) | m_memory_v_master(c_m, s0)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.88 tff(4483,plain,
% 49.25/31.88 (~node19(c_m, s0)),
% 49.25/31.88 inference(unit_resolution,[status(thm)],[4482, 4469])).
% 49.25/31.88 tff(4484,plain,
% 49.25/31.88 (^[Y: $i, I0: $i, X: $i] : refl(((~trans(X, Y)) | node23(I0, X, Y)) <=> ((~trans(X, Y)) | node23(I0, X, Y)))),
% 49.25/31.88 inference(bind,[status(th)],[])).
% 49.25/31.88 tff(4485,plain,
% 49.25/31.88 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y)) <=> ![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))),
% 49.25/31.88 inference(quant_intro,[status(thm)],[4484])).
% 49.25/31.88 tff(4486,plain,
% 49.25/31.89 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y)) <=> ![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))),
% 49.25/31.89 inference(rewrite,[status(thm)],[])).
% 49.25/31.89 tff(4487,axiom,(![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_53')).
% 49.25/31.89 tff(4488,plain,
% 49.25/31.89 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4487, 4486])).
% 49.25/31.89 tff(4489,plain,(
% 49.25/31.89 ![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))),
% 49.25/31.89 inference(skolemize,[status(sab)],[4488])).
% 49.25/31.89 tff(4490,plain,
% 49.25/31.89 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4489, 4485])).
% 49.25/31.89 tff(4491,plain,
% 49.25/31.89 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | ((~trans(s0, s1)) | node23(c_m, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | (~trans(s0, s1)) | node23(c_m, s0, s1))),
% 49.25/31.89 inference(rewrite,[status(thm)],[])).
% 49.25/31.89 tff(4492,plain,
% 49.25/31.89 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | ((~trans(s0, s1)) | node23(c_m, s0, s1))),
% 49.25/31.89 inference(quant_inst,[status(thm)],[])).
% 49.25/31.89 tff(4493,plain,
% 49.25/31.89 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | (~trans(s0, s1)) | node23(c_m, s0, s1)),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4492, 4491])).
% 49.25/31.89 tff(4494,plain,
% 49.25/31.89 (node23(c_m, s0, s1)),
% 49.25/31.89 inference(unit_resolution,[status(thm)],[4493, 4490, 2811])).
% 49.25/31.89 tff(4495,plain,
% 49.25/31.89 (^[Y: $i, I0: $i, X: $i] : refl((m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X)) <=> (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X)))),
% 49.25/31.89 inference(bind,[status(th)],[])).
% 49.25/31.89 tff(4496,plain,
% 49.25/31.89 (![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X)) <=> ![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))),
% 49.25/31.89 inference(quant_intro,[status(thm)],[4495])).
% 49.25/31.89 tff(4497,plain,
% 49.25/31.89 (![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X)) <=> ![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))),
% 49.25/31.89 inference(rewrite,[status(thm)],[])).
% 49.25/31.89 tff(4498,plain,
% 49.25/31.89 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((m_memory_v_abort(I0, X) | node19(I0, X)) | m_memory_v_master(I0, X)) <=> (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_abort(I0, X))), ((((m_memory_v_abort(I0, X) | node19(I0, X)) | m_memory_v_master(I0, X)) | node20(I0, X)) <=> ((m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_abort(I0, X)) | node20(I0, X)))), rewrite(((m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_abort(I0, X)) | node20(I0, X)) <=> (m_memory_v_master(I0, X) | node19(I0, X) | node20(I0, X) | m_memory_v_abort(I0, X))), ((((m_memory_v_abort(I0, X) | node19(I0, X)) | m_memory_v_master(I0, X)) | node20(I0, X)) <=> (m_memory_v_master(I0, X) | node19(I0, X) | node20(I0, X) | m_memory_v_abort(I0, X)))), (((((m_memory_v_abort(I0, X) | node19(I0, X)) | m_memory_v_master(I0, X)) | node20(I0, X)) | m_memory_v_busy(I0, Y)) <=> ((m_memory_v_master(I0, X) | node19(I0, X) | node20(I0, X) | m_memory_v_abort(I0, X)) | m_memory_v_busy(I0, Y)))), rewrite(((m_memory_v_master(I0, X) | node19(I0, X) | node20(I0, X) | m_memory_v_abort(I0, X)) | m_memory_v_busy(I0, Y)) <=> (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | m_memory_v_abort(I0, X))), (((((m_memory_v_abort(I0, X) | node19(I0, X)) | m_memory_v_master(I0, X)) | node20(I0, X)) | m_memory_v_busy(I0, Y)) <=> (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | m_memory_v_abort(I0, X)))), ((((((m_memory_v_abort(I0, X) | node19(I0, X)) | m_memory_v_master(I0, X)) | node20(I0, X)) | m_memory_v_busy(I0, Y)) | (~node23(I0, X, Y))) <=> ((m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | m_memory_v_abort(I0, X)) | (~node23(I0, X, Y))))), rewrite(((m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | m_memory_v_abort(I0, X)) | (~node23(I0, X, Y))) <=> (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))), ((((((m_memory_v_abort(I0, X) | node19(I0, X)) | m_memory_v_master(I0, X)) | node20(I0, X)) | m_memory_v_busy(I0, Y)) | (~node23(I0, X, Y))) <=> (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))))),
% 49.25/31.89 inference(bind,[status(th)],[])).
% 49.25/31.89 tff(4499,plain,
% 49.25/31.89 (![Y: $i, I0: $i, X: $i] : (((((m_memory_v_abort(I0, X) | node19(I0, X)) | m_memory_v_master(I0, X)) | node20(I0, X)) | m_memory_v_busy(I0, Y)) | (~node23(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))),
% 49.25/31.89 inference(quant_intro,[status(thm)],[4498])).
% 49.25/31.89 tff(4500,axiom,(![Y: $i, I0: $i, X: $i] : (((((m_memory_v_abort(I0, X) | node19(I0, X)) | m_memory_v_master(I0, X)) | node20(I0, X)) | m_memory_v_busy(I0, Y)) | (~node23(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_51')).
% 49.25/31.89 tff(4501,plain,
% 49.25/31.89 (![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4500, 4499])).
% 49.25/31.89 tff(4502,plain,
% 49.25/31.89 (![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4501, 4497])).
% 49.25/31.89 tff(4503,plain,(
% 49.25/31.89 ![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))),
% 49.25/31.89 inference(skolemize,[status(sab)],[4502])).
% 49.25/31.89 tff(4504,plain,
% 49.25/31.89 (![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4503, 4496])).
% 49.25/31.89 tff(4505,plain,
% 49.25/31.89 (((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s0) | node19(c_m, s0) | node20(c_m, s0) | m_memory_v_busy(c_m, s1) | m_memory_v_abort(c_m, s0) | (~node23(c_m, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | m_memory_v_master(c_m, s0) | node19(c_m, s0) | node20(c_m, s0) | m_memory_v_busy(c_m, s1) | m_memory_v_abort(c_m, s0) | (~node23(c_m, s0, s1)))),
% 49.25/31.89 inference(rewrite,[status(thm)],[])).
% 49.25/31.89 tff(4506,plain,
% 49.25/31.89 ((m_memory_v_master(c_m, s0) | node19(c_m, s0) | m_memory_v_busy(c_m, s1) | node20(c_m, s0) | (~node23(c_m, s0, s1)) | m_memory_v_abort(c_m, s0)) <=> (m_memory_v_master(c_m, s0) | node19(c_m, s0) | node20(c_m, s0) | m_memory_v_busy(c_m, s1) | m_memory_v_abort(c_m, s0) | (~node23(c_m, s0, s1)))),
% 49.25/31.89 inference(rewrite,[status(thm)],[])).
% 49.25/31.89 tff(4507,plain,
% 49.25/31.89 (((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s0) | node19(c_m, s0) | m_memory_v_busy(c_m, s1) | node20(c_m, s0) | (~node23(c_m, s0, s1)) | m_memory_v_abort(c_m, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s0) | node19(c_m, s0) | node20(c_m, s0) | m_memory_v_busy(c_m, s1) | m_memory_v_abort(c_m, s0) | (~node23(c_m, s0, s1))))),
% 49.25/31.89 inference(monotonicity,[status(thm)],[4506])).
% 49.25/31.89 tff(4508,plain,
% 49.25/31.89 (((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s0) | node19(c_m, s0) | m_memory_v_busy(c_m, s1) | node20(c_m, s0) | (~node23(c_m, s0, s1)) | m_memory_v_abort(c_m, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | m_memory_v_master(c_m, s0) | node19(c_m, s0) | node20(c_m, s0) | m_memory_v_busy(c_m, s1) | m_memory_v_abort(c_m, s0) | (~node23(c_m, s0, s1)))),
% 49.25/31.89 inference(transitivity,[status(thm)],[4507, 4505])).
% 49.25/31.89 tff(4509,plain,
% 49.25/31.89 ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s0) | node19(c_m, s0) | m_memory_v_busy(c_m, s1) | node20(c_m, s0) | (~node23(c_m, s0, s1)) | m_memory_v_abort(c_m, s0))),
% 49.25/31.89 inference(quant_inst,[status(thm)],[])).
% 49.25/31.89 tff(4510,plain,
% 49.25/31.89 ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | m_memory_v_master(c_m, s0) | node19(c_m, s0) | node20(c_m, s0) | m_memory_v_busy(c_m, s1) | m_memory_v_abort(c_m, s0) | (~node23(c_m, s0, s1))),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4509, 4508])).
% 49.25/31.89 tff(4511,plain,
% 49.25/31.89 (m_memory_v_master(c_m, s0) | node19(c_m, s0) | node20(c_m, s0) | m_memory_v_busy(c_m, s1) | m_memory_v_abort(c_m, s0)),
% 49.25/31.89 inference(unit_resolution,[status(thm)],[4510, 4504, 4494])).
% 49.25/31.89 tff(4512,plain,
% 49.25/31.89 ($false),
% 49.25/31.89 inference(unit_resolution,[status(thm)],[4511, 4483, 4469, 3978, 4468, 4467])).
% 49.25/31.89 tff(4513,plain,(m_memory_v_master(c_m, s0) | m_memory_v_busy(c_m, s1) | m_memory_v_abort(c_m, s0) | node20(c_m, s0)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.89 tff(4514,plain,
% 49.25/31.89 (m_memory_v_abort(c_m, s0)),
% 49.25/31.89 inference(unit_resolution,[status(thm)],[4513, 4466, 3978, 3977])).
% 49.25/31.89 tff(4515,assumption,(~m_processor_v_state(c_p2, s0, c_invalid)), introduced(assumption)).
% 49.25/31.89 tff(4516,plain,
% 49.25/31.89 ((~![I0: $i] : m_processor_v_state(I0, s0, c_invalid)) | m_processor_v_state(c_p2, s0, c_invalid)),
% 49.25/31.89 inference(quant_inst,[status(thm)],[])).
% 49.25/31.89 tff(4517,plain,
% 49.25/31.89 ($false),
% 49.25/31.89 inference(unit_resolution,[status(thm)],[4516, 2791, 4515])).
% 49.25/31.89 tff(4518,plain,(m_processor_v_state(c_p2, s0, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.89 tff(4519,assumption,(m_processor_v_state(c_p2, s0, c_owned)), introduced(assumption)).
% 49.25/31.89 tff(4520,plain,
% 49.25/31.89 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p2, s0, c_invalid)) | (~m_processor_v_state(c_p2, s0, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p2, s0, c_invalid)) | (~m_processor_v_state(c_p2, s0, c_owned)))),
% 49.25/31.89 inference(rewrite,[status(thm)],[])).
% 49.25/31.89 tff(4521,plain,
% 49.25/31.89 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p2, s0, c_invalid)) | (~m_processor_v_state(c_p2, s0, c_owned)))),
% 49.25/31.89 inference(quant_inst,[status(thm)],[])).
% 49.25/31.89 tff(4522,plain,
% 49.25/31.89 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p2, s0, c_invalid)) | (~m_processor_v_state(c_p2, s0, c_owned))),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4521, 4520])).
% 49.25/31.89 tff(4523,plain,
% 49.25/31.89 ($false),
% 49.25/31.89 inference(unit_resolution,[status(thm)],[4522, 137, 4519, 4518])).
% 49.25/31.89 tff(4524,plain,(~m_processor_v_state(c_p2, s0, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.89 tff(4525,assumption,(node57(c_p2, s0)), introduced(assumption)).
% 49.25/31.89 tff(4526,assumption,(~m_processor_v_state(c_p2, s0, c_owned)), introduced(assumption)).
% 49.25/31.89 tff(4527,plain,
% 49.25/31.89 (^[I0: $i, X: $i] : refl((m_processor_v_state(I0, X, c_owned) | (~node57(I0, X))) <=> (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X))))),
% 49.25/31.89 inference(bind,[status(th)],[])).
% 49.25/31.89 tff(4528,plain,
% 49.25/31.89 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))),
% 49.25/31.89 inference(quant_intro,[status(thm)],[4527])).
% 49.25/31.89 tff(4529,plain,
% 49.25/31.89 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))),
% 49.25/31.89 inference(rewrite,[status(thm)],[])).
% 49.25/31.89 tff(4530,axiom,(![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_127')).
% 49.25/31.89 tff(4531,plain,
% 49.25/31.89 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4530, 4529])).
% 49.25/31.89 tff(4532,plain,(
% 49.25/31.89 ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))),
% 49.25/31.89 inference(skolemize,[status(sab)],[4531])).
% 49.25/31.89 tff(4533,plain,
% 49.25/31.89 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4532, 4528])).
% 49.25/31.89 tff(4534,plain,
% 49.25/31.89 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | ((~node57(c_p2, s0)) | m_processor_v_state(c_p2, s0, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (~node57(c_p2, s0)) | m_processor_v_state(c_p2, s0, c_owned))),
% 49.25/31.89 inference(rewrite,[status(thm)],[])).
% 49.25/31.89 tff(4535,plain,
% 49.25/31.89 ((m_processor_v_state(c_p2, s0, c_owned) | (~node57(c_p2, s0))) <=> ((~node57(c_p2, s0)) | m_processor_v_state(c_p2, s0, c_owned))),
% 49.25/31.89 inference(rewrite,[status(thm)],[])).
% 49.25/31.89 tff(4536,plain,
% 49.25/31.89 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (m_processor_v_state(c_p2, s0, c_owned) | (~node57(c_p2, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | ((~node57(c_p2, s0)) | m_processor_v_state(c_p2, s0, c_owned)))),
% 49.25/31.89 inference(monotonicity,[status(thm)],[4535])).
% 49.25/31.89 tff(4537,plain,
% 49.25/31.89 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (m_processor_v_state(c_p2, s0, c_owned) | (~node57(c_p2, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (~node57(c_p2, s0)) | m_processor_v_state(c_p2, s0, c_owned))),
% 49.25/31.89 inference(transitivity,[status(thm)],[4536, 4534])).
% 49.25/31.89 tff(4538,plain,
% 49.25/31.89 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (m_processor_v_state(c_p2, s0, c_owned) | (~node57(c_p2, s0)))),
% 49.25/31.89 inference(quant_inst,[status(thm)],[])).
% 49.25/31.89 tff(4539,plain,
% 49.25/31.89 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (~node57(c_p2, s0)) | m_processor_v_state(c_p2, s0, c_owned)),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4538, 4537])).
% 49.25/31.89 tff(4540,plain,
% 49.25/31.89 ($false),
% 49.25/31.89 inference(unit_resolution,[status(thm)],[4539, 4533, 4526, 4525])).
% 49.25/31.89 tff(4541,plain,((~node57(c_p2, s0)) | m_processor_v_state(c_p2, s0, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.89 tff(4542,plain,
% 49.25/31.89 (~node57(c_p2, s0)),
% 49.25/31.89 inference(unit_resolution,[status(thm)],[4541, 4524])).
% 49.25/31.89 tff(4543,assumption,(~node57(c_p2, s0)), introduced(assumption)).
% 49.25/31.89 tff(4544,assumption,(m_processor_v_reply_h_owned(c_p2, s0)), introduced(assumption)).
% 49.25/31.89 tff(4545,plain,
% 49.25/31.89 (^[I0: $i, X: $i] : refl(((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X)) <=> ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X)))),
% 49.25/31.89 inference(bind,[status(th)],[])).
% 49.25/31.89 tff(4546,plain,
% 49.25/31.89 (![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X)) <=> ![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))),
% 49.25/31.89 inference(quant_intro,[status(thm)],[4545])).
% 49.25/31.89 tff(4547,plain,
% 49.25/31.89 (![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X)) <=> ![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))),
% 49.25/31.89 inference(rewrite,[status(thm)],[])).
% 49.25/31.89 tff(4548,axiom,(![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_129')).
% 49.25/31.89 tff(4549,plain,
% 49.25/31.89 (![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4548, 4547])).
% 49.25/31.89 tff(4550,plain,(
% 49.25/31.89 ![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))),
% 49.25/31.89 inference(skolemize,[status(sab)],[4549])).
% 49.25/31.89 tff(4551,plain,
% 49.25/31.89 (![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4550, 4546])).
% 49.25/31.89 tff(4552,plain,
% 49.25/31.89 (((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | ((~m_processor_v_reply_h_owned(c_p2, s0)) | node57(c_p2, s0))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | (~m_processor_v_reply_h_owned(c_p2, s0)) | node57(c_p2, s0))),
% 49.25/31.89 inference(rewrite,[status(thm)],[])).
% 49.25/31.89 tff(4553,plain,
% 49.25/31.89 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | ((~m_processor_v_reply_h_owned(c_p2, s0)) | node57(c_p2, s0))),
% 49.25/31.89 inference(quant_inst,[status(thm)],[])).
% 49.25/31.89 tff(4554,plain,
% 49.25/31.89 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | (~m_processor_v_reply_h_owned(c_p2, s0)) | node57(c_p2, s0)),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4553, 4552])).
% 49.25/31.89 tff(4555,plain,
% 49.25/31.89 ($false),
% 49.25/31.89 inference(unit_resolution,[status(thm)],[4554, 4551, 4544, 4543])).
% 49.25/31.89 tff(4556,plain,((~m_processor_v_reply_h_owned(c_p2, s0)) | node57(c_p2, s0)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.89 tff(4557,plain,
% 49.25/31.89 (~m_processor_v_reply_h_owned(c_p2, s0)),
% 49.25/31.89 inference(unit_resolution,[status(thm)],[4556, 4542])).
% 49.25/31.89 tff(4558,assumption,(node57(c_p1, s0)), introduced(assumption)).
% 49.25/31.89 tff(4559,plain,
% 49.25/31.89 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (m_processor_v_state(c_p1, s0, c_owned) | (~node57(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | m_processor_v_state(c_p1, s0, c_owned) | (~node57(c_p1, s0)))),
% 49.25/31.89 inference(rewrite,[status(thm)],[])).
% 49.25/31.89 tff(4560,plain,
% 49.25/31.89 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (m_processor_v_state(c_p1, s0, c_owned) | (~node57(c_p1, s0)))),
% 49.25/31.89 inference(quant_inst,[status(thm)],[])).
% 49.25/31.89 tff(4561,plain,
% 49.25/31.89 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | m_processor_v_state(c_p1, s0, c_owned) | (~node57(c_p1, s0))),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4560, 4559])).
% 49.25/31.89 tff(4562,plain,
% 49.25/31.89 ($false),
% 49.25/31.89 inference(unit_resolution,[status(thm)],[4561, 4533, 2992, 4558])).
% 49.25/31.89 tff(4563,plain,(~node57(c_p1, s0)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.89 tff(4564,assumption,(m_processor_v_reply_h_owned(c_p1, s0)), introduced(assumption)).
% 49.25/31.89 tff(4565,plain,
% 49.25/31.89 (((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | ((~m_processor_v_reply_h_owned(c_p1, s0)) | node57(c_p1, s0))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | (~m_processor_v_reply_h_owned(c_p1, s0)) | node57(c_p1, s0))),
% 49.25/31.89 inference(rewrite,[status(thm)],[])).
% 49.25/31.89 tff(4566,plain,
% 49.25/31.89 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | ((~m_processor_v_reply_h_owned(c_p1, s0)) | node57(c_p1, s0))),
% 49.25/31.89 inference(quant_inst,[status(thm)],[])).
% 49.25/31.89 tff(4567,plain,
% 49.25/31.89 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | (~m_processor_v_reply_h_owned(c_p1, s0)) | node57(c_p1, s0)),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4566, 4565])).
% 49.25/31.89 tff(4568,plain,
% 49.25/31.89 ($false),
% 49.25/31.89 inference(unit_resolution,[status(thm)],[4567, 4551, 4564, 4563])).
% 49.25/31.89 tff(4569,plain,(~m_processor_v_reply_h_owned(c_p1, s0)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.89 tff(4570,plain,
% 49.25/31.89 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | ((~node57(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (~node57(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))),
% 49.25/31.89 inference(rewrite,[status(thm)],[])).
% 49.25/31.89 tff(4571,plain,
% 49.25/31.89 ((m_processor_v_state(c_p0, s0, c_owned) | (~node57(c_p0, s0))) <=> ((~node57(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))),
% 49.25/31.89 inference(rewrite,[status(thm)],[])).
% 49.25/31.89 tff(4572,plain,
% 49.25/31.89 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node57(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | ((~node57(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned)))),
% 49.25/31.89 inference(monotonicity,[status(thm)],[4571])).
% 49.25/31.89 tff(4573,plain,
% 49.25/31.89 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node57(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (~node57(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned))),
% 49.25/31.89 inference(transitivity,[status(thm)],[4572, 4570])).
% 49.25/31.89 tff(4574,plain,
% 49.25/31.89 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node57(c_p0, s0)))),
% 49.25/31.89 inference(quant_inst,[status(thm)],[])).
% 49.25/31.89 tff(4575,plain,
% 49.25/31.89 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (~node57(c_p0, s0)) | m_processor_v_state(c_p0, s0, c_owned)),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4574, 4573])).
% 49.25/31.89 tff(4576,plain,
% 49.25/31.89 (~node57(c_p0, s0)),
% 49.25/31.89 inference(unit_resolution,[status(thm)],[4575, 4533, 4138])).
% 49.25/31.89 tff(4577,plain,
% 49.25/31.89 (((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | ((~m_processor_v_reply_h_owned(c_p0, s0)) | node57(c_p0, s0))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | (~m_processor_v_reply_h_owned(c_p0, s0)) | node57(c_p0, s0))),
% 49.25/31.89 inference(rewrite,[status(thm)],[])).
% 49.25/31.89 tff(4578,plain,
% 49.25/31.89 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | ((~m_processor_v_reply_h_owned(c_p0, s0)) | node57(c_p0, s0))),
% 49.25/31.89 inference(quant_inst,[status(thm)],[])).
% 49.25/31.89 tff(4579,plain,
% 49.25/31.89 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | (~m_processor_v_reply_h_owned(c_p0, s0)) | node57(c_p0, s0)),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4578, 4577])).
% 49.25/31.89 tff(4580,plain,
% 49.25/31.89 (~m_processor_v_reply_h_owned(c_p0, s0)),
% 49.25/31.89 inference(unit_resolution,[status(thm)],[4579, 4551, 4576])).
% 49.25/31.89 tff(4581,plain,
% 49.25/31.89 (^[X: $i] : refl(((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X)) <=> ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X)))),
% 49.25/31.89 inference(bind,[status(th)],[])).
% 49.25/31.89 tff(4582,plain,
% 49.25/31.89 (![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))),
% 49.25/31.89 inference(quant_intro,[status(thm)],[4581])).
% 49.25/31.89 tff(4583,plain,
% 49.25/31.89 (![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))),
% 49.25/31.89 inference(rewrite,[status(thm)],[])).
% 49.25/31.89 tff(4584,plain,
% 49.25/31.89 (^[X: $i] : trans(monotonicity(rewrite((((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X)) | m_processor_v_reply_h_owned(c_p1, X)) <=> ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X))), (((((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X)) | m_processor_v_reply_h_owned(c_p1, X)) | m_processor_v_reply_h_owned(c_p2, X)) <=> (((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X)) | m_processor_v_reply_h_owned(c_p2, X)))), rewrite((((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X)) | m_processor_v_reply_h_owned(c_p2, X)) <=> ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))), (((((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X)) | m_processor_v_reply_h_owned(c_p1, X)) | m_processor_v_reply_h_owned(c_p2, X)) <=> ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))))),
% 49.25/31.89 inference(bind,[status(th)],[])).
% 49.25/31.89 tff(4585,plain,
% 49.25/31.89 (![X: $i] : ((((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X)) | m_processor_v_reply_h_owned(c_p1, X)) | m_processor_v_reply_h_owned(c_p2, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))),
% 49.25/31.89 inference(quant_intro,[status(thm)],[4584])).
% 49.25/31.89 tff(4586,axiom,(![X: $i] : ((((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X)) | m_processor_v_reply_h_owned(c_p1, X)) | m_processor_v_reply_h_owned(c_p2, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_78')).
% 49.25/31.89 tff(4587,plain,
% 49.25/31.89 (![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4586, 4585])).
% 49.25/31.89 tff(4588,plain,
% 49.25/31.89 (![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4587, 4583])).
% 49.25/31.89 tff(4589,plain,(
% 49.25/31.89 ![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))),
% 49.25/31.89 inference(skolemize,[status(sab)],[4588])).
% 49.25/31.89 tff(4590,plain,
% 49.25/31.89 (![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4589, 4582])).
% 49.25/31.89 tff(4591,plain,
% 49.25/31.89 (((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))) | ((~m_main_v_REPLY_h_OWNED(s0)) | m_processor_v_reply_h_owned(c_p0, s0) | m_processor_v_reply_h_owned(c_p1, s0) | m_processor_v_reply_h_owned(c_p2, s0))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))) | (~m_main_v_REPLY_h_OWNED(s0)) | m_processor_v_reply_h_owned(c_p0, s0) | m_processor_v_reply_h_owned(c_p1, s0) | m_processor_v_reply_h_owned(c_p2, s0))),
% 49.25/31.89 inference(rewrite,[status(thm)],[])).
% 49.25/31.89 tff(4592,plain,
% 49.25/31.89 ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))) | ((~m_main_v_REPLY_h_OWNED(s0)) | m_processor_v_reply_h_owned(c_p0, s0) | m_processor_v_reply_h_owned(c_p1, s0) | m_processor_v_reply_h_owned(c_p2, s0))),
% 49.25/31.89 inference(quant_inst,[status(thm)],[])).
% 49.25/31.89 tff(4593,plain,
% 49.25/31.89 ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))) | (~m_main_v_REPLY_h_OWNED(s0)) | m_processor_v_reply_h_owned(c_p0, s0) | m_processor_v_reply_h_owned(c_p1, s0) | m_processor_v_reply_h_owned(c_p2, s0)),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4592, 4591])).
% 49.25/31.89 tff(4594,plain,
% 49.25/31.89 ((~m_main_v_REPLY_h_OWNED(s0)) | m_processor_v_reply_h_owned(c_p1, s0) | m_processor_v_reply_h_owned(c_p2, s0)),
% 49.25/31.89 inference(unit_resolution,[status(thm)],[4593, 4590, 4580])).
% 49.25/31.89 tff(4595,plain,
% 49.25/31.89 ((~m_main_v_REPLY_h_OWNED(s0)) | m_processor_v_reply_h_owned(c_p2, s0)),
% 49.25/31.89 inference(unit_resolution,[status(thm)],[4594, 4569])).
% 49.25/31.89 tff(4596,plain,
% 49.25/31.89 (~m_main_v_REPLY_h_OWNED(s0)),
% 49.25/31.89 inference(unit_resolution,[status(thm)],[4595, 4557])).
% 49.25/31.89 tff(4597,assumption,(m_memory_v_REPLY_h_OWNED(c_m, s0)), introduced(assumption)).
% 49.25/31.89 tff(4598,assumption,(~m_main_v_REPLY_h_OWNED(s0)), introduced(assumption)).
% 49.25/31.89 tff(4599,plain,
% 49.25/31.89 (^[X: $i] : refl((m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X))) <=> (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X))))),
% 49.25/31.89 inference(bind,[status(th)],[])).
% 49.25/31.89 tff(4600,plain,
% 49.25/31.89 (![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X))) <=> ![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))),
% 49.25/31.89 inference(quant_intro,[status(thm)],[4599])).
% 49.25/31.89 tff(4601,plain,
% 49.25/31.89 (![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X))) <=> ![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))),
% 49.25/31.89 inference(rewrite,[status(thm)],[])).
% 49.25/31.89 tff(4602,plain,
% 49.25/31.89 (^[X: $i] : rewrite(((~m_memory_v_REPLY_h_OWNED(c_m, X)) | m_main_v_REPLY_h_OWNED(X)) <=> (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X))))),
% 49.25/31.89 inference(bind,[status(th)],[])).
% 49.25/31.89 tff(4603,plain,
% 49.25/31.89 (![X: $i] : ((~m_memory_v_REPLY_h_OWNED(c_m, X)) | m_main_v_REPLY_h_OWNED(X)) <=> ![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))),
% 49.25/31.89 inference(quant_intro,[status(thm)],[4602])).
% 49.25/31.89 tff(4604,axiom,(![X: $i] : ((~m_memory_v_REPLY_h_OWNED(c_m, X)) | m_main_v_REPLY_h_OWNED(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_42')).
% 49.25/31.89 tff(4605,plain,
% 49.25/31.89 (![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4604, 4603])).
% 49.25/31.89 tff(4606,plain,
% 49.25/31.89 (![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4605, 4601])).
% 49.25/31.89 tff(4607,plain,(
% 49.25/31.89 ![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))),
% 49.25/31.89 inference(skolemize,[status(sab)],[4606])).
% 49.25/31.89 tff(4608,plain,
% 49.25/31.89 (![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4607, 4600])).
% 49.25/31.89 tff(4609,plain,
% 49.25/31.89 (((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))) | (m_main_v_REPLY_h_OWNED(s0) | (~m_memory_v_REPLY_h_OWNED(c_m, s0)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))) | m_main_v_REPLY_h_OWNED(s0) | (~m_memory_v_REPLY_h_OWNED(c_m, s0)))),
% 49.25/31.89 inference(rewrite,[status(thm)],[])).
% 49.25/31.89 tff(4610,plain,
% 49.25/31.89 ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))) | (m_main_v_REPLY_h_OWNED(s0) | (~m_memory_v_REPLY_h_OWNED(c_m, s0)))),
% 49.25/31.89 inference(quant_inst,[status(thm)],[])).
% 49.25/31.89 tff(4611,plain,
% 49.25/31.89 ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))) | m_main_v_REPLY_h_OWNED(s0) | (~m_memory_v_REPLY_h_OWNED(c_m, s0))),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4610, 4609])).
% 49.25/31.89 tff(4612,plain,
% 49.25/31.89 ($false),
% 49.25/31.89 inference(unit_resolution,[status(thm)],[4611, 4608, 4598, 4597])).
% 49.25/31.89 tff(4613,plain,(m_main_v_REPLY_h_OWNED(s0) | (~m_memory_v_REPLY_h_OWNED(c_m, s0))), inference(lemma,lemma(discharge,[]))).
% 49.25/31.89 tff(4614,plain,
% 49.25/31.89 (~m_memory_v_REPLY_h_OWNED(c_m, s0)),
% 49.25/31.89 inference(unit_resolution,[status(thm)],[4613, 4596])).
% 49.25/31.89 tff(4615,assumption,(node28(c_m, s0)), introduced(assumption)).
% 49.25/31.89 tff(4616,assumption,(~m_memory_v_REPLY_h_OWNED(c_m, s0)), introduced(assumption)).
% 49.25/31.89 tff(4617,plain,
% 49.25/31.89 (^[I0: $i, X: $i] : refl((m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X))) <=> (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X))))),
% 49.25/31.89 inference(bind,[status(th)],[])).
% 49.25/31.89 tff(4618,plain,
% 49.25/31.89 (![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))),
% 49.25/31.89 inference(quant_intro,[status(thm)],[4617])).
% 49.25/31.89 tff(4619,plain,
% 49.25/31.89 (![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))),
% 49.25/31.89 inference(rewrite,[status(thm)],[])).
% 49.25/31.89 tff(4620,axiom,(![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_66')).
% 49.25/31.89 tff(4621,plain,
% 49.25/31.89 (![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4620, 4619])).
% 49.25/31.89 tff(4622,plain,(
% 49.25/31.89 ![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))),
% 49.25/31.89 inference(skolemize,[status(sab)],[4621])).
% 49.25/31.89 tff(4623,plain,
% 49.25/31.89 (![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4622, 4618])).
% 49.25/31.89 tff(4624,plain,
% 49.25/31.89 (((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))) | (m_memory_v_REPLY_h_OWNED(c_m, s0) | (~node28(c_m, s0)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))) | m_memory_v_REPLY_h_OWNED(c_m, s0) | (~node28(c_m, s0)))),
% 49.25/31.89 inference(rewrite,[status(thm)],[])).
% 49.25/31.89 tff(4625,plain,
% 49.25/31.89 ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))) | (m_memory_v_REPLY_h_OWNED(c_m, s0) | (~node28(c_m, s0)))),
% 49.25/31.89 inference(quant_inst,[status(thm)],[])).
% 49.25/31.89 tff(4626,plain,
% 49.25/31.89 ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))) | m_memory_v_REPLY_h_OWNED(c_m, s0) | (~node28(c_m, s0))),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4625, 4624])).
% 49.25/31.89 tff(4627,plain,
% 49.25/31.89 ($false),
% 49.25/31.89 inference(unit_resolution,[status(thm)],[4626, 4623, 4616, 4615])).
% 49.25/31.89 tff(4628,plain,((~node28(c_m, s0)) | m_memory_v_REPLY_h_OWNED(c_m, s0)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.89 tff(4629,plain,
% 49.25/31.89 (~node28(c_m, s0)),
% 49.25/31.89 inference(unit_resolution,[status(thm)],[4628, 4614])).
% 49.25/31.89 tff(4630,assumption,(~node28(c_m, s0)), introduced(assumption)).
% 49.25/31.89 tff(4631,assumption,(m_memory_v_abort(c_m, s0)), introduced(assumption)).
% 49.25/31.89 tff(4632,assumption,(~node27(c_m, s0)), introduced(assumption)).
% 49.25/31.89 tff(4633,assumption,(~m_memory_v_REPLY_h_STALL(c_m, s0)), introduced(assumption)).
% 49.25/31.89 tff(4634,plain,
% 49.25/31.89 (^[I0: $i, X: $i] : refl(((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X)) <=> ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X)))),
% 49.25/31.89 inference(bind,[status(th)],[])).
% 49.25/31.89 tff(4635,plain,
% 49.25/31.89 (![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X)) <=> ![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))),
% 49.25/31.89 inference(quant_intro,[status(thm)],[4634])).
% 49.25/31.89 tff(4636,plain,
% 49.25/31.89 (![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X)) <=> ![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))),
% 49.25/31.89 inference(rewrite,[status(thm)],[])).
% 49.25/31.89 tff(4637,plain,
% 49.25/31.89 (^[I0: $i, X: $i] : trans(monotonicity(rewrite((((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X)) | node27(I0, X)) <=> ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X))), (((((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X)) | node27(I0, X)) | node28(I0, X)) <=> (((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X)) | node28(I0, X)))), rewrite((((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X)) | node28(I0, X)) <=> ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))), (((((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X)) | node27(I0, X)) | node28(I0, X)) <=> ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))))),
% 49.25/31.89 inference(bind,[status(th)],[])).
% 49.25/31.89 tff(4638,plain,
% 49.25/31.89 (![I0: $i, X: $i] : ((((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X)) | node27(I0, X)) | node28(I0, X)) <=> ![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))),
% 49.25/31.89 inference(quant_intro,[status(thm)],[4637])).
% 49.25/31.89 tff(4639,axiom,(![I0: $i, X: $i] : ((((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X)) | node27(I0, X)) | node28(I0, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_68')).
% 49.25/31.89 tff(4640,plain,
% 49.25/31.89 (![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4639, 4638])).
% 49.25/31.89 tff(4641,plain,
% 49.25/31.89 (![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))),
% 49.25/31.89 inference(modus_ponens,[status(thm)],[4640, 4636])).
% 49.25/31.89 tff(4642,plain,(
% 49.25/31.89 ![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))),
% 49.25/31.89 inference(skolemize,[status(sab)],[4641])).
% 49.25/31.89 tff(4643,plain,
% 49.25/31.90 (![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))),
% 49.25/31.90 inference(modus_ponens,[status(thm)],[4642, 4635])).
% 49.25/31.90 tff(4644,plain,
% 49.25/31.90 (((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | ((~m_memory_v_abort(c_m, s0)) | m_memory_v_REPLY_h_STALL(c_m, s0) | node27(c_m, s0) | node28(c_m, s0))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | (~m_memory_v_abort(c_m, s0)) | m_memory_v_REPLY_h_STALL(c_m, s0) | node27(c_m, s0) | node28(c_m, s0))),
% 49.25/31.90 inference(rewrite,[status(thm)],[])).
% 49.25/31.90 tff(4645,plain,
% 49.25/31.90 ((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | ((~m_memory_v_abort(c_m, s0)) | m_memory_v_REPLY_h_STALL(c_m, s0) | node27(c_m, s0) | node28(c_m, s0))),
% 49.25/31.90 inference(quant_inst,[status(thm)],[])).
% 49.25/31.90 tff(4646,plain,
% 49.25/31.90 ((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | (~m_memory_v_abort(c_m, s0)) | m_memory_v_REPLY_h_STALL(c_m, s0) | node27(c_m, s0) | node28(c_m, s0)),
% 49.25/31.90 inference(modus_ponens,[status(thm)],[4645, 4644])).
% 49.25/31.90 tff(4647,plain,
% 49.25/31.90 ($false),
% 49.25/31.90 inference(unit_resolution,[status(thm)],[4646, 4643, 4633, 4632, 4631, 4630])).
% 49.25/31.90 tff(4648,plain,((~m_memory_v_abort(c_m, s0)) | m_memory_v_REPLY_h_STALL(c_m, s0) | node27(c_m, s0) | node28(c_m, s0)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.90 tff(4649,plain,
% 49.25/31.90 ((~m_memory_v_abort(c_m, s0)) | m_memory_v_REPLY_h_STALL(c_m, s0) | node27(c_m, s0)),
% 49.25/31.90 inference(unit_resolution,[status(thm)],[4648, 4629])).
% 49.25/31.90 tff(4650,plain,
% 49.25/31.90 (node27(c_m, s0)),
% 49.25/31.90 inference(unit_resolution,[status(thm)],[4649, 4514, 4020])).
% 49.25/31.90 tff(4651,assumption,(node27(c_m, s0)), introduced(assumption)).
% 49.25/31.90 tff(4652,assumption,(~m_memory_v_REPLY_h_WAITING(c_m, s0)), introduced(assumption)).
% 49.25/31.90 tff(4653,plain,
% 49.25/31.90 (^[I0: $i, X: $i] : refl((m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X))) <=> (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X))))),
% 49.25/31.90 inference(bind,[status(th)],[])).
% 49.25/31.90 tff(4654,plain,
% 49.25/31.90 (![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))),
% 49.25/31.90 inference(quant_intro,[status(thm)],[4653])).
% 49.25/31.90 tff(4655,plain,
% 49.25/31.90 (![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))),
% 49.25/31.90 inference(rewrite,[status(thm)],[])).
% 49.25/31.90 tff(4656,axiom,(![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_64')).
% 49.25/31.90 tff(4657,plain,
% 49.25/31.90 (![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))),
% 49.25/31.90 inference(modus_ponens,[status(thm)],[4656, 4655])).
% 49.25/31.90 tff(4658,plain,(
% 49.25/31.90 ![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))),
% 49.25/31.90 inference(skolemize,[status(sab)],[4657])).
% 49.25/31.90 tff(4659,plain,
% 49.25/31.90 (![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))),
% 49.25/31.90 inference(modus_ponens,[status(thm)],[4658, 4654])).
% 49.25/31.90 tff(4660,plain,
% 49.25/31.90 (((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))) | (m_memory_v_REPLY_h_WAITING(c_m, s0) | (~node27(c_m, s0)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))) | m_memory_v_REPLY_h_WAITING(c_m, s0) | (~node27(c_m, s0)))),
% 49.25/31.90 inference(rewrite,[status(thm)],[])).
% 49.25/31.90 tff(4661,plain,
% 49.25/31.90 ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))) | (m_memory_v_REPLY_h_WAITING(c_m, s0) | (~node27(c_m, s0)))),
% 49.25/31.90 inference(quant_inst,[status(thm)],[])).
% 49.25/31.90 tff(4662,plain,
% 49.25/31.90 ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))) | m_memory_v_REPLY_h_WAITING(c_m, s0) | (~node27(c_m, s0))),
% 49.25/31.90 inference(modus_ponens,[status(thm)],[4661, 4660])).
% 49.25/31.90 tff(4663,plain,
% 49.25/31.90 ($false),
% 49.25/31.90 inference(unit_resolution,[status(thm)],[4662, 4659, 4652, 4651])).
% 49.25/31.90 tff(4664,plain,((~node27(c_m, s0)) | m_memory_v_REPLY_h_WAITING(c_m, s0)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.90 tff(4665,plain,
% 49.25/31.90 (m_memory_v_REPLY_h_WAITING(c_m, s0)),
% 49.25/31.90 inference(unit_resolution,[status(thm)],[4664, 4650])).
% 49.25/31.90 tff(4666,assumption,(~m_main_v_REPLY_h_WAITING(s0)), introduced(assumption)).
% 49.25/31.90 tff(4667,assumption,(m_memory_v_REPLY_h_WAITING(c_m, s0)), introduced(assumption)).
% 49.25/31.90 tff(4668,plain,
% 49.25/31.90 (^[X: $i] : refl((m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X))) <=> (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X))))),
% 49.25/31.90 inference(bind,[status(th)],[])).
% 49.25/31.90 tff(4669,plain,
% 49.25/31.90 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X))) <=> ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))),
% 49.25/31.90 inference(quant_intro,[status(thm)],[4668])).
% 49.25/31.90 tff(4670,plain,
% 49.25/31.90 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X))) <=> ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))),
% 49.25/31.90 inference(rewrite,[status(thm)],[])).
% 49.25/31.90 tff(4671,plain,
% 49.25/31.90 (^[X: $i] : rewrite(((~m_memory_v_REPLY_h_WAITING(c_m, X)) | m_main_v_REPLY_h_WAITING(X)) <=> (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X))))),
% 49.25/31.90 inference(bind,[status(th)],[])).
% 49.25/31.90 tff(4672,plain,
% 49.25/31.90 (![X: $i] : ((~m_memory_v_REPLY_h_WAITING(c_m, X)) | m_main_v_REPLY_h_WAITING(X)) <=> ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))),
% 49.25/31.90 inference(quant_intro,[status(thm)],[4671])).
% 49.25/31.90 tff(4673,axiom,(![X: $i] : ((~m_memory_v_REPLY_h_WAITING(c_m, X)) | m_main_v_REPLY_h_WAITING(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_44')).
% 49.25/31.90 tff(4674,plain,
% 49.25/31.90 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))),
% 49.25/31.90 inference(modus_ponens,[status(thm)],[4673, 4672])).
% 49.25/31.90 tff(4675,plain,
% 49.25/31.90 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))),
% 49.25/31.90 inference(modus_ponens,[status(thm)],[4674, 4670])).
% 49.25/31.90 tff(4676,plain,(
% 49.25/31.90 ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))),
% 49.25/31.90 inference(skolemize,[status(sab)],[4675])).
% 49.25/31.90 tff(4677,plain,
% 49.25/31.90 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))),
% 49.25/31.90 inference(modus_ponens,[status(thm)],[4676, 4669])).
% 49.25/31.90 tff(4678,plain,
% 49.25/31.90 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))) | (m_main_v_REPLY_h_WAITING(s0) | (~m_memory_v_REPLY_h_WAITING(c_m, s0)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))) | m_main_v_REPLY_h_WAITING(s0) | (~m_memory_v_REPLY_h_WAITING(c_m, s0)))),
% 49.25/31.90 inference(rewrite,[status(thm)],[])).
% 49.25/31.90 tff(4679,plain,
% 49.25/31.90 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))) | (m_main_v_REPLY_h_WAITING(s0) | (~m_memory_v_REPLY_h_WAITING(c_m, s0)))),
% 49.25/31.90 inference(quant_inst,[status(thm)],[])).
% 49.25/31.90 tff(4680,plain,
% 49.25/31.90 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))) | m_main_v_REPLY_h_WAITING(s0) | (~m_memory_v_REPLY_h_WAITING(c_m, s0))),
% 49.25/31.90 inference(modus_ponens,[status(thm)],[4679, 4678])).
% 49.25/31.90 tff(4681,plain,
% 49.25/31.90 ($false),
% 49.25/31.90 inference(unit_resolution,[status(thm)],[4680, 4677, 4667, 4666])).
% 49.25/31.90 tff(4682,plain,(m_main_v_REPLY_h_WAITING(s0) | (~m_memory_v_REPLY_h_WAITING(c_m, s0))), inference(lemma,lemma(discharge,[]))).
% 49.25/31.90 tff(4683,plain,
% 49.25/31.90 (m_main_v_REPLY_h_WAITING(s0)),
% 49.25/31.90 inference(unit_resolution,[status(thm)],[4682, 4665])).
% 49.25/31.90 tff(4684,plain,
% 49.25/31.90 (^[V: $i, X: $i] : refl(((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V))) <=> ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V))))),
% 49.25/31.90 inference(bind,[status(th)],[])).
% 49.25/31.90 tff(4685,plain,
% 49.25/31.90 (![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V))) <=> ![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))),
% 49.25/31.90 inference(quant_intro,[status(thm)],[4684])).
% 49.25/31.90 tff(4686,plain,
% 49.25/31.90 (![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V))) <=> ![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))),
% 49.25/31.90 inference(rewrite,[status(thm)],[])).
% 49.25/31.90 tff(4687,plain,
% 49.25/31.90 (^[V: $i, X: $i] : rewrite((((~m_memory_v_CMD(c_m, X, V)) | m_main_v_CMD(X, V)) | (~node1(X))) <=> ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V))))),
% 49.25/31.90 inference(bind,[status(th)],[])).
% 49.25/31.90 tff(4688,plain,
% 49.25/31.90 (![V: $i, X: $i] : (((~m_memory_v_CMD(c_m, X, V)) | m_main_v_CMD(X, V)) | (~node1(X))) <=> ![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))),
% 49.25/31.90 inference(quant_intro,[status(thm)],[4687])).
% 49.25/31.90 tff(4689,axiom,(![V: $i, X: $i] : (((~m_memory_v_CMD(c_m, X, V)) | m_main_v_CMD(X, V)) | (~node1(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_39')).
% 49.25/31.90 tff(4690,plain,
% 49.25/31.90 (![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))),
% 49.25/31.90 inference(modus_ponens,[status(thm)],[4689, 4688])).
% 49.25/31.90 tff(4691,plain,
% 49.25/31.90 (![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))),
% 49.25/31.90 inference(modus_ponens,[status(thm)],[4690, 4686])).
% 49.25/31.90 tff(4692,plain,(
% 49.25/31.90 ![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))),
% 49.25/31.90 inference(skolemize,[status(sab)],[4691])).
% 49.25/31.90 tff(4693,plain,
% 49.25/31.90 (![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))),
% 49.25/31.90 inference(modus_ponens,[status(thm)],[4692, 4685])).
% 49.25/31.90 tff(4694,plain,
% 49.25/31.90 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s0, c_read_h_owned) | (~node1(s0)) | (~m_memory_v_CMD(c_m, s0, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s0, c_read_h_owned) | (~node1(s0)) | (~m_memory_v_CMD(c_m, s0, c_read_h_owned)))),
% 49.25/31.90 inference(rewrite,[status(thm)],[])).
% 49.25/31.90 tff(4695,plain,
% 49.25/31.90 (((~node1(s0)) | m_main_v_CMD(s0, c_read_h_owned) | (~m_memory_v_CMD(c_m, s0, c_read_h_owned))) <=> (m_main_v_CMD(s0, c_read_h_owned) | (~node1(s0)) | (~m_memory_v_CMD(c_m, s0, c_read_h_owned)))),
% 49.25/31.90 inference(rewrite,[status(thm)],[])).
% 49.25/31.90 tff(4696,plain,
% 49.25/31.90 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s0)) | m_main_v_CMD(s0, c_read_h_owned) | (~m_memory_v_CMD(c_m, s0, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s0, c_read_h_owned) | (~node1(s0)) | (~m_memory_v_CMD(c_m, s0, c_read_h_owned))))),
% 49.25/31.90 inference(monotonicity,[status(thm)],[4695])).
% 49.25/31.90 tff(4697,plain,
% 49.25/31.90 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s0)) | m_main_v_CMD(s0, c_read_h_owned) | (~m_memory_v_CMD(c_m, s0, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s0, c_read_h_owned) | (~node1(s0)) | (~m_memory_v_CMD(c_m, s0, c_read_h_owned)))),
% 49.25/31.90 inference(transitivity,[status(thm)],[4696, 4694])).
% 49.25/31.90 tff(4698,plain,
% 49.25/31.90 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s0)) | m_main_v_CMD(s0, c_read_h_owned) | (~m_memory_v_CMD(c_m, s0, c_read_h_owned)))),
% 49.25/31.90 inference(quant_inst,[status(thm)],[])).
% 49.25/31.90 tff(4699,plain,
% 49.25/31.90 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s0, c_read_h_owned) | (~node1(s0)) | (~m_memory_v_CMD(c_m, s0, c_read_h_owned))),
% 49.25/31.90 inference(modus_ponens,[status(thm)],[4698, 4697])).
% 49.25/31.90 tff(4700,plain,
% 49.25/31.90 (~m_memory_v_CMD(c_m, s0, c_read_h_owned)),
% 49.25/31.90 inference(unit_resolution,[status(thm)],[4699, 4693, 4197, 2879])).
% 49.25/31.90 tff(4701,plain,
% 49.25/31.90 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~m_memory_v_CMD(c_m, s0, c_read_h_shared)) | (~node1(s0)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s0, c_read_h_shared) | (~m_memory_v_CMD(c_m, s0, c_read_h_shared)) | (~node1(s0)))),
% 49.25/31.90 inference(rewrite,[status(thm)],[])).
% 49.25/31.90 tff(4702,plain,
% 49.25/31.90 (((~node1(s0)) | m_main_v_CMD(s0, c_read_h_shared) | (~m_memory_v_CMD(c_m, s0, c_read_h_shared))) <=> (m_main_v_CMD(s0, c_read_h_shared) | (~m_memory_v_CMD(c_m, s0, c_read_h_shared)) | (~node1(s0)))),
% 49.25/31.90 inference(rewrite,[status(thm)],[])).
% 49.25/31.90 tff(4703,plain,
% 49.25/31.90 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s0)) | m_main_v_CMD(s0, c_read_h_shared) | (~m_memory_v_CMD(c_m, s0, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~m_memory_v_CMD(c_m, s0, c_read_h_shared)) | (~node1(s0))))),
% 49.25/31.90 inference(monotonicity,[status(thm)],[4702])).
% 49.25/31.90 tff(4704,plain,
% 49.25/31.90 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s0)) | m_main_v_CMD(s0, c_read_h_shared) | (~m_memory_v_CMD(c_m, s0, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s0, c_read_h_shared) | (~m_memory_v_CMD(c_m, s0, c_read_h_shared)) | (~node1(s0)))),
% 49.25/31.90 inference(transitivity,[status(thm)],[4703, 4701])).
% 49.25/31.90 tff(4705,plain,
% 49.25/31.90 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s0)) | m_main_v_CMD(s0, c_read_h_shared) | (~m_memory_v_CMD(c_m, s0, c_read_h_shared)))),
% 49.25/31.90 inference(quant_inst,[status(thm)],[])).
% 49.25/31.90 tff(4706,plain,
% 49.25/31.90 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s0, c_read_h_shared) | (~m_memory_v_CMD(c_m, s0, c_read_h_shared)) | (~node1(s0))),
% 49.25/31.90 inference(modus_ponens,[status(thm)],[4705, 4704])).
% 49.25/31.90 tff(4707,plain,
% 49.25/31.90 (~m_memory_v_CMD(c_m, s0, c_read_h_shared)),
% 49.25/31.90 inference(unit_resolution,[status(thm)],[4706, 4693, 4197, 2878])).
% 49.25/31.90 tff(4708,plain,
% 49.25/31.90 (^[I0: $i, X: $i] : refl((m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X))) <=> (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X))))),
% 49.25/31.90 inference(bind,[status(th)],[])).
% 49.25/31.90 tff(4709,plain,
% 49.25/31.90 (![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))),
% 49.25/31.90 inference(quant_intro,[status(thm)],[4708])).
% 49.25/31.90 tff(4710,plain,
% 49.25/31.90 (![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))),
% 49.25/31.90 inference(rewrite,[status(thm)],[])).
% 49.25/31.90 tff(4711,plain,
% 49.25/31.90 (^[I0: $i, X: $i] : trans(monotonicity(rewrite((m_memory_v_CMD(I0, X, c_read_h_shared) | m_memory_v_CMD(I0, X, c_read_h_owned)) <=> (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared))), (((m_memory_v_CMD(I0, X, c_read_h_shared) | m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node28(I0, X))) <=> ((m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node28(I0, X))))), rewrite(((m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node28(I0, X))) <=> (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))), (((m_memory_v_CMD(I0, X, c_read_h_shared) | m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node28(I0, X))) <=> (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))))),
% 49.25/31.90 inference(bind,[status(th)],[])).
% 49.25/31.90 tff(4712,plain,
% 49.25/31.90 (![I0: $i, X: $i] : ((m_memory_v_CMD(I0, X, c_read_h_shared) | m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node28(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))),
% 49.25/31.90 inference(quant_intro,[status(thm)],[4711])).
% 49.25/31.90 tff(4713,axiom,(![I0: $i, X: $i] : ((m_memory_v_CMD(I0, X, c_read_h_shared) | m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node28(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_65')).
% 49.25/31.90 tff(4714,plain,
% 49.25/31.90 (![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))),
% 49.25/31.90 inference(modus_ponens,[status(thm)],[4713, 4712])).
% 49.25/31.90 tff(4715,plain,
% 49.25/31.90 (![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))),
% 49.25/31.90 inference(modus_ponens,[status(thm)],[4714, 4710])).
% 49.25/31.90 tff(4716,plain,(
% 49.25/31.90 ![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))),
% 49.25/31.90 inference(skolemize,[status(sab)],[4715])).
% 49.25/31.90 tff(4717,plain,
% 49.25/31.90 (![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))),
% 49.25/31.90 inference(modus_ponens,[status(thm)],[4716, 4709])).
% 49.25/31.90 tff(4718,plain,
% 49.25/31.90 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | (m_memory_v_CMD(c_m, s0, c_read_h_shared) | m_memory_v_CMD(c_m, s0, c_read_h_owned) | (~node28(c_m, s0)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | m_memory_v_CMD(c_m, s0, c_read_h_shared) | m_memory_v_CMD(c_m, s0, c_read_h_owned) | (~node28(c_m, s0)))),
% 49.25/31.90 inference(rewrite,[status(thm)],[])).
% 49.25/31.90 tff(4719,plain,
% 49.25/31.90 ((m_memory_v_CMD(c_m, s0, c_read_h_owned) | m_memory_v_CMD(c_m, s0, c_read_h_shared) | (~node28(c_m, s0))) <=> (m_memory_v_CMD(c_m, s0, c_read_h_shared) | m_memory_v_CMD(c_m, s0, c_read_h_owned) | (~node28(c_m, s0)))),
% 49.25/31.90 inference(rewrite,[status(thm)],[])).
% 49.25/31.90 tff(4720,plain,
% 49.25/31.90 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | (m_memory_v_CMD(c_m, s0, c_read_h_owned) | m_memory_v_CMD(c_m, s0, c_read_h_shared) | (~node28(c_m, s0)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | (m_memory_v_CMD(c_m, s0, c_read_h_shared) | m_memory_v_CMD(c_m, s0, c_read_h_owned) | (~node28(c_m, s0))))),
% 49.25/31.90 inference(monotonicity,[status(thm)],[4719])).
% 49.25/31.90 tff(4721,plain,
% 49.25/31.90 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | (m_memory_v_CMD(c_m, s0, c_read_h_owned) | m_memory_v_CMD(c_m, s0, c_read_h_shared) | (~node28(c_m, s0)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | m_memory_v_CMD(c_m, s0, c_read_h_shared) | m_memory_v_CMD(c_m, s0, c_read_h_owned) | (~node28(c_m, s0)))),
% 49.25/31.90 inference(transitivity,[status(thm)],[4720, 4718])).
% 49.25/31.90 tff(4722,plain,
% 49.25/31.90 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | (m_memory_v_CMD(c_m, s0, c_read_h_owned) | m_memory_v_CMD(c_m, s0, c_read_h_shared) | (~node28(c_m, s0)))),
% 49.25/31.90 inference(quant_inst,[status(thm)],[])).
% 49.25/31.90 tff(4723,plain,
% 49.25/31.90 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | m_memory_v_CMD(c_m, s0, c_read_h_shared) | m_memory_v_CMD(c_m, s0, c_read_h_owned) | (~node28(c_m, s0))),
% 49.25/31.90 inference(modus_ponens,[status(thm)],[4722, 4721])).
% 49.25/31.90 tff(4724,plain,
% 49.25/31.90 (m_memory_v_CMD(c_m, s0, c_read_h_shared) | m_memory_v_CMD(c_m, s0, c_read_h_owned)),
% 49.25/31.90 inference(unit_resolution,[status(thm)],[4723, 4717, 4615])).
% 49.25/31.90 tff(4725,plain,
% 49.25/31.90 ($false),
% 49.25/31.90 inference(unit_resolution,[status(thm)],[4724, 4707, 4700])).
% 49.25/31.90 tff(4726,plain,(m_main_v_CMD(s0, c_read_h_shared) | (~node28(c_m, s0)) | m_main_v_CMD(s0, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.90 tff(4727,plain,
% 49.25/31.90 (~node28(c_m, s0)),
% 49.25/31.90 inference(unit_resolution,[status(thm)],[4726, 2878, 2879])).
% 49.25/31.90 tff(4728,plain,
% 49.25/31.90 (node27(c_m, s0)),
% 49.25/31.90 inference(unit_resolution,[status(thm)],[4648, 4727, 4633, 4631])).
% 49.25/31.90 tff(4729,plain,
% 49.25/31.90 (^[I0: $i, X: $i] : refl((m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X))) <=> (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X))))),
% 49.25/31.90 inference(bind,[status(th)],[])).
% 49.25/31.90 tff(4730,plain,
% 49.25/31.90 (![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))),
% 49.25/31.90 inference(quant_intro,[status(thm)],[4729])).
% 49.25/31.90 tff(4731,plain,
% 49.25/31.90 (![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))),
% 49.25/31.90 inference(rewrite,[status(thm)],[])).
% 49.25/31.90 tff(4732,plain,
% 49.25/31.90 (^[I0: $i, X: $i] : trans(monotonicity(rewrite((m_memory_v_CMD(I0, X, c_read_h_shared) | m_memory_v_CMD(I0, X, c_read_h_owned)) <=> (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared))), (((m_memory_v_CMD(I0, X, c_read_h_shared) | m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node27(I0, X))) <=> ((m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node27(I0, X))))), rewrite(((m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node27(I0, X))) <=> (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))), (((m_memory_v_CMD(I0, X, c_read_h_shared) | m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node27(I0, X))) <=> (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))))),
% 49.25/31.90 inference(bind,[status(th)],[])).
% 49.25/31.90 tff(4733,plain,
% 49.25/31.90 (![I0: $i, X: $i] : ((m_memory_v_CMD(I0, X, c_read_h_shared) | m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node27(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))),
% 49.25/31.90 inference(quant_intro,[status(thm)],[4732])).
% 49.25/31.90 tff(4734,axiom,(![I0: $i, X: $i] : ((m_memory_v_CMD(I0, X, c_read_h_shared) | m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node27(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_63')).
% 49.25/31.90 tff(4735,plain,
% 49.25/31.90 (![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))),
% 49.25/31.90 inference(modus_ponens,[status(thm)],[4734, 4733])).
% 49.25/31.90 tff(4736,plain,
% 49.25/31.90 (![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))),
% 49.25/31.90 inference(modus_ponens,[status(thm)],[4735, 4731])).
% 49.25/31.90 tff(4737,plain,(
% 49.25/31.90 ![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))),
% 49.25/31.90 inference(skolemize,[status(sab)],[4736])).
% 49.25/31.90 tff(4738,plain,
% 49.25/31.90 (![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))),
% 49.25/31.90 inference(modus_ponens,[status(thm)],[4737, 4730])).
% 49.25/31.90 tff(4739,plain,
% 49.25/31.90 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (m_memory_v_CMD(c_m, s0, c_read_h_shared) | m_memory_v_CMD(c_m, s0, c_read_h_owned) | (~node27(c_m, s0)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | m_memory_v_CMD(c_m, s0, c_read_h_shared) | m_memory_v_CMD(c_m, s0, c_read_h_owned) | (~node27(c_m, s0)))),
% 49.25/31.90 inference(rewrite,[status(thm)],[])).
% 49.25/31.90 tff(4740,plain,
% 49.25/31.90 ((m_memory_v_CMD(c_m, s0, c_read_h_owned) | m_memory_v_CMD(c_m, s0, c_read_h_shared) | (~node27(c_m, s0))) <=> (m_memory_v_CMD(c_m, s0, c_read_h_shared) | m_memory_v_CMD(c_m, s0, c_read_h_owned) | (~node27(c_m, s0)))),
% 49.25/31.90 inference(rewrite,[status(thm)],[])).
% 49.25/31.90 tff(4741,plain,
% 49.25/31.90 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (m_memory_v_CMD(c_m, s0, c_read_h_owned) | m_memory_v_CMD(c_m, s0, c_read_h_shared) | (~node27(c_m, s0)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (m_memory_v_CMD(c_m, s0, c_read_h_shared) | m_memory_v_CMD(c_m, s0, c_read_h_owned) | (~node27(c_m, s0))))),
% 49.25/31.90 inference(monotonicity,[status(thm)],[4740])).
% 49.25/31.90 tff(4742,plain,
% 49.25/31.90 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (m_memory_v_CMD(c_m, s0, c_read_h_owned) | m_memory_v_CMD(c_m, s0, c_read_h_shared) | (~node27(c_m, s0)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | m_memory_v_CMD(c_m, s0, c_read_h_shared) | m_memory_v_CMD(c_m, s0, c_read_h_owned) | (~node27(c_m, s0)))),
% 49.25/31.90 inference(transitivity,[status(thm)],[4741, 4739])).
% 49.25/31.90 tff(4743,plain,
% 49.25/31.90 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (m_memory_v_CMD(c_m, s0, c_read_h_owned) | m_memory_v_CMD(c_m, s0, c_read_h_shared) | (~node27(c_m, s0)))),
% 49.25/31.90 inference(quant_inst,[status(thm)],[])).
% 49.25/31.90 tff(4744,plain,
% 49.25/31.90 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | m_memory_v_CMD(c_m, s0, c_read_h_shared) | m_memory_v_CMD(c_m, s0, c_read_h_owned) | (~node27(c_m, s0))),
% 49.25/31.90 inference(modus_ponens,[status(thm)],[4743, 4742])).
% 49.25/31.90 tff(4745,plain,
% 49.25/31.90 (m_memory_v_CMD(c_m, s0, c_read_h_shared) | (~node27(c_m, s0))),
% 49.25/31.90 inference(unit_resolution,[status(thm)],[4744, 4738, 4700])).
% 49.25/31.90 tff(4746,plain,
% 49.25/31.90 (m_memory_v_CMD(c_m, s0, c_read_h_shared)),
% 49.25/31.90 inference(unit_resolution,[status(thm)],[4745, 4728])).
% 49.25/31.90 tff(4747,plain,
% 49.25/31.90 ($false),
% 49.25/31.90 inference(unit_resolution,[status(thm)],[4706, 4693, 4197, 2878, 4746])).
% 49.25/31.90 tff(4748,plain,(m_main_v_CMD(s0, c_read_h_shared) | m_memory_v_REPLY_h_STALL(c_m, s0) | (~m_memory_v_abort(c_m, s0)) | m_main_v_CMD(s0, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.90 tff(4749,plain,
% 49.25/31.90 (m_main_v_CMD(s0, c_read_h_shared)),
% 49.25/31.90 inference(unit_resolution,[status(thm)],[4748, 4514, 2879, 4020])).
% 49.25/31.90 tff(4750,plain,
% 49.25/31.90 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_read_h_shared)) | (~node3(s0)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (~m_main_v_CMD(s0, c_read_h_shared)) | (~node3(s0)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared))),
% 49.25/31.90 inference(rewrite,[status(thm)],[])).
% 49.25/31.90 tff(4751,plain,
% 49.25/31.90 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_read_h_shared)) | (~node3(s0)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared))),
% 49.25/31.90 inference(quant_inst,[status(thm)],[])).
% 49.25/31.90 tff(4752,plain,
% 49.25/31.90 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (~m_main_v_CMD(s0, c_read_h_shared)) | (~node3(s0)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared)),
% 49.25/31.90 inference(modus_ponens,[status(thm)],[4751, 4750])).
% 49.25/31.90 tff(4753,plain,
% 49.25/31.90 ($false),
% 49.25/31.90 inference(unit_resolution,[status(thm)],[4752, 1945, 4324, 2864, 4404])).
% 49.25/31.90 tff(4754,plain,((~m_main_v_CMD(s0, c_read_h_shared)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.90 tff(4755,plain,
% 49.25/31.90 (m_processor_v_CMD(c_p1, s0, c_read_h_shared)),
% 49.25/31.90 inference(unit_resolution,[status(thm)],[4754, 4749])).
% 49.25/31.90 tff(4756,assumption,(node59(c_p1, s0)), introduced(assumption)).
% 49.25/31.90 tff(4757,assumption,(m_processor_v_CMD(c_p1, s0, c_read_h_shared)), introduced(assumption)).
% 49.25/31.90 tff(4758,plain,
% 49.25/31.90 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~node59(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~node59(c_p1, s0)))),
% 49.25/31.90 inference(rewrite,[status(thm)],[])).
% 49.25/31.90 tff(4759,plain,
% 49.25/31.90 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~node59(c_p1, s0)))),
% 49.25/31.90 inference(quant_inst,[status(thm)],[])).
% 49.25/31.90 tff(4760,plain,
% 49.25/31.90 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~node59(c_p1, s0))),
% 49.25/31.90 inference(modus_ponens,[status(thm)],[4759, 4758])).
% 49.25/31.90 tff(4761,plain,
% 49.25/31.90 ($false),
% 49.25/31.90 inference(unit_resolution,[status(thm)],[4760, 3834, 4757, 4756])).
% 49.25/31.90 tff(4762,plain,((~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~node59(c_p1, s0))), inference(lemma,lemma(discharge,[]))).
% 49.25/31.90 tff(4763,plain,
% 49.25/31.90 (~node59(c_p1, s0)),
% 49.25/31.90 inference(unit_resolution,[status(thm)],[4762, 4755])).
% 49.25/31.90 tff(4764,assumption,(~node59(c_p1, s0)), introduced(assumption)).
% 49.25/31.90 tff(4765,assumption,(m_processor_v_REPLY_h_WAITING(c_p1, s0)), introduced(assumption)).
% 49.25/31.90 tff(4766,plain,
% 49.25/31.90 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s0) | (~node60(c_p1, s0)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | node59(c_p1, s0) | (~node60(c_p1, s0)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s0)))),
% 49.25/31.90 inference(rewrite,[status(thm)],[])).
% 49.25/31.90 tff(4767,plain,
% 49.25/31.90 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s0) | (~node60(c_p1, s0)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s0)))),
% 49.25/31.90 inference(quant_inst,[status(thm)],[])).
% 49.25/31.90 tff(4768,plain,
% 49.25/31.90 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | node59(c_p1, s0) | (~node60(c_p1, s0)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s0))),
% 49.25/31.90 inference(modus_ponens,[status(thm)],[4767, 4766])).
% 49.25/31.90 tff(4769,plain,
% 49.25/31.90 ($false),
% 49.25/31.90 inference(unit_resolution,[status(thm)],[4768, 724, 3988, 4765, 4764])).
% 49.25/31.90 tff(4770,plain,((~node60(c_p1, s0)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s0)) | node59(c_p1, s0)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.90 tff(4771,plain,
% 49.25/31.90 (~m_processor_v_REPLY_h_WAITING(c_p1, s0)),
% 49.25/31.90 inference(unit_resolution,[status(thm)],[4770, 4763, 3986])).
% 49.25/31.90 tff(4772,assumption,(~m_processor_v_REPLY_h_WAITING(c_p1, s0)), introduced(assumption)).
% 49.25/31.90 tff(4773,assumption,(m_main_v_REPLY_h_WAITING(s0)), introduced(assumption)).
% 49.25/31.90 tff(4774,plain,
% 49.25/31.90 (((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | ((~m_main_v_REPLY_h_WAITING(s0)) | m_processor_v_REPLY_h_WAITING(c_p1, s0))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | (~m_main_v_REPLY_h_WAITING(s0)) | m_processor_v_REPLY_h_WAITING(c_p1, s0))),
% 49.25/31.90 inference(rewrite,[status(thm)],[])).
% 49.25/31.90 tff(4775,plain,
% 49.25/31.90 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | ((~m_main_v_REPLY_h_WAITING(s0)) | m_processor_v_REPLY_h_WAITING(c_p1, s0))),
% 49.25/31.90 inference(quant_inst,[status(thm)],[])).
% 49.25/31.90 tff(4776,plain,
% 49.25/31.90 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | (~m_main_v_REPLY_h_WAITING(s0)) | m_processor_v_REPLY_h_WAITING(c_p1, s0)),
% 49.25/31.90 inference(modus_ponens,[status(thm)],[4775, 4774])).
% 49.25/31.90 tff(4777,plain,
% 49.25/31.90 ($false),
% 49.25/31.90 inference(unit_resolution,[status(thm)],[4776, 745, 4773, 4772])).
% 49.25/31.90 tff(4778,plain,((~m_main_v_REPLY_h_WAITING(s0)) | m_processor_v_REPLY_h_WAITING(c_p1, s0)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.90 tff(4779,plain,
% 49.25/31.90 ($false),
% 49.25/31.90 inference(unit_resolution,[status(thm)],[4778, 4771, 4683])).
% 49.25/31.90 tff(4780,plain,(m_processor_v_state(c_p1, s1, c_invalid) | m_main_v_CMD(s0, c_read_h_owned) | m_memory_v_busy(c_m, s1)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.90 tff(4781,plain,
% 49.25/31.90 (m_main_v_CMD(s0, c_read_h_owned)),
% 49.25/31.90 inference(unit_resolution,[status(thm)],[4780, 3978, 3057])).
% 49.25/31.90 tff(4782,plain,
% 49.25/31.90 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_read_h_owned)) | (~node3(s0)) | m_processor_v_CMD(c_p1, s0, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (~m_main_v_CMD(s0, c_read_h_owned)) | (~node3(s0)) | m_processor_v_CMD(c_p1, s0, c_read_h_owned))),
% 49.25/31.90 inference(rewrite,[status(thm)],[])).
% 49.25/31.90 tff(4783,plain,
% 49.25/31.90 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s0, c_read_h_owned)) | (~node3(s0)) | m_processor_v_CMD(c_p1, s0, c_read_h_owned))),
% 49.25/31.90 inference(quant_inst,[status(thm)],[])).
% 49.25/31.90 tff(4784,plain,
% 49.25/31.90 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (~m_main_v_CMD(s0, c_read_h_owned)) | (~node3(s0)) | m_processor_v_CMD(c_p1, s0, c_read_h_owned)),
% 49.25/31.90 inference(modus_ponens,[status(thm)],[4783, 4782])).
% 49.25/31.90 tff(4785,plain,
% 49.25/31.90 ($false),
% 49.25/31.90 inference(unit_resolution,[status(thm)],[4784, 1945, 4324, 3032, 4365])).
% 49.25/31.90 tff(4786,plain,((~m_main_v_CMD(s0, c_read_h_owned)) | m_processor_v_CMD(c_p1, s0, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.90 tff(4787,plain,
% 49.25/31.90 (m_processor_v_CMD(c_p1, s0, c_read_h_owned)),
% 49.25/31.90 inference(unit_resolution,[status(thm)],[4786, 4781])).
% 49.25/31.90 tff(4788,plain,
% 49.25/31.90 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~node59(c_p1, s0)) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~node59(c_p1, s0)) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)))),
% 49.25/31.90 inference(rewrite,[status(thm)],[])).
% 49.25/31.90 tff(4789,plain,
% 49.25/31.90 (((~m_processor_v_CMD(c_p1, s0, c_read_h_owned)) | (~node59(c_p1, s0))) <=> ((~node59(c_p1, s0)) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)))),
% 49.25/31.90 inference(rewrite,[status(thm)],[])).
% 49.25/31.90 tff(4790,plain,
% 49.25/31.90 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s0, c_read_h_owned)) | (~node59(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~node59(c_p1, s0)) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned))))),
% 49.25/31.90 inference(monotonicity,[status(thm)],[4789])).
% 49.25/31.90 tff(4791,plain,
% 49.25/31.90 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s0, c_read_h_owned)) | (~node59(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~node59(c_p1, s0)) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)))),
% 49.25/31.90 inference(transitivity,[status(thm)],[4790, 4788])).
% 49.25/31.90 tff(4792,plain,
% 49.25/31.90 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s0, c_read_h_owned)) | (~node59(c_p1, s0)))),
% 49.25/31.90 inference(quant_inst,[status(thm)],[])).
% 49.25/31.90 tff(4793,plain,
% 49.25/31.90 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~node59(c_p1, s0)) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned))),
% 49.25/31.91 inference(modus_ponens,[status(thm)],[4792, 4791])).
% 49.25/31.91 tff(4794,plain,
% 49.25/31.91 ($false),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[4793, 707, 4320, 4756])).
% 49.25/31.91 tff(4795,plain,((~m_processor_v_CMD(c_p1, s0, c_read_h_owned)) | (~node59(c_p1, s0))), inference(lemma,lemma(discharge,[]))).
% 49.25/31.91 tff(4796,plain,
% 49.25/31.91 (~node59(c_p1, s0)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[4795, 4787])).
% 49.25/31.91 tff(4797,plain,
% 49.25/31.91 (~m_processor_v_REPLY_h_WAITING(c_p1, s0)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[4770, 4796, 3986])).
% 49.25/31.91 tff(4798,plain,
% 49.25/31.91 (~m_main_v_REPLY_h_WAITING(s0)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[4778, 4797])).
% 49.25/31.91 tff(4799,plain,
% 49.25/31.91 (~m_memory_v_REPLY_h_WAITING(c_m, s0)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[4682, 4798])).
% 49.25/31.91 tff(4800,plain,
% 49.25/31.91 (~node27(c_m, s0)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[4664, 4799])).
% 49.25/31.91 tff(4801,plain,
% 49.25/31.91 (~m_memory_v_abort(c_m, s0)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[4649, 4800, 4020])).
% 49.25/31.91 tff(4802,plain,
% 49.25/31.91 (node20(c_m, s0)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[4513, 4801, 3978, 3977])).
% 49.25/31.91 tff(4803,plain,
% 49.25/31.91 (~m_memory_v_CMD(c_m, s0, c_read_h_owned)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[4228, 4225, 4802])).
% 49.25/31.91 tff(4804,plain,
% 49.25/31.91 ($false),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[4232, 4207, 4197, 4781, 4803])).
% 49.25/31.91 tff(4805,plain,(m_memory_v_busy(c_m, s1) | m_processor_v_state(c_p1, s1, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.91 tff(4806,plain,
% 49.25/31.91 (m_memory_v_busy(c_m, s1)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[4805, 3964])).
% 49.25/31.91 tff(4807,assumption,(~m_memory_v_reply_h_stall(c_m, s1)), introduced(assumption)).
% 49.25/31.91 tff(4808,assumption,(~node30(c_m, s1)), introduced(assumption)).
% 49.25/31.91 tff(4809,assumption,(m_memory_v_busy(c_m, s1)), introduced(assumption)).
% 49.25/31.91 tff(4810,plain,
% 49.25/31.91 (^[I0: $i, X: $i] : refl(((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X)) <=> ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X)))),
% 49.25/31.91 inference(bind,[status(th)],[])).
% 49.25/31.91 tff(4811,plain,
% 49.25/31.91 (![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X)) <=> ![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))),
% 49.25/31.91 inference(quant_intro,[status(thm)],[4810])).
% 49.25/31.91 tff(4812,plain,
% 49.25/31.91 (![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X)) <=> ![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))),
% 49.25/31.91 inference(rewrite,[status(thm)],[])).
% 49.25/31.91 tff(4813,plain,
% 49.25/31.91 (^[I0: $i, X: $i] : rewrite((((~m_memory_v_busy(I0, X)) | node30(I0, X)) | m_memory_v_reply_h_stall(I0, X)) <=> ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X)))),
% 49.25/31.91 inference(bind,[status(th)],[])).
% 49.25/31.91 tff(4814,plain,
% 49.25/31.91 (![I0: $i, X: $i] : (((~m_memory_v_busy(I0, X)) | node30(I0, X)) | m_memory_v_reply_h_stall(I0, X)) <=> ![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))),
% 49.25/31.91 inference(quant_intro,[status(thm)],[4813])).
% 49.25/31.91 tff(4815,axiom,(![I0: $i, X: $i] : (((~m_memory_v_busy(I0, X)) | node30(I0, X)) | m_memory_v_reply_h_stall(I0, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_81')).
% 49.25/31.91 tff(4816,plain,
% 49.25/31.91 (![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))),
% 49.25/31.91 inference(modus_ponens,[status(thm)],[4815, 4814])).
% 49.25/31.91 tff(4817,plain,
% 49.25/31.91 (![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))),
% 49.25/31.91 inference(modus_ponens,[status(thm)],[4816, 4812])).
% 49.25/31.91 tff(4818,plain,(
% 49.25/31.91 ![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))),
% 49.25/31.91 inference(skolemize,[status(sab)],[4817])).
% 49.25/31.91 tff(4819,plain,
% 49.25/31.91 (![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))),
% 49.25/31.91 inference(modus_ponens,[status(thm)],[4818, 4811])).
% 49.25/31.91 tff(4820,plain,
% 49.25/31.91 (((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | ((~m_memory_v_busy(c_m, s1)) | m_memory_v_reply_h_stall(c_m, s1) | node30(c_m, s1))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | (~m_memory_v_busy(c_m, s1)) | m_memory_v_reply_h_stall(c_m, s1) | node30(c_m, s1))),
% 49.25/31.91 inference(rewrite,[status(thm)],[])).
% 49.25/31.91 tff(4821,plain,
% 49.25/31.91 (((~m_memory_v_busy(c_m, s1)) | node30(c_m, s1) | m_memory_v_reply_h_stall(c_m, s1)) <=> ((~m_memory_v_busy(c_m, s1)) | m_memory_v_reply_h_stall(c_m, s1) | node30(c_m, s1))),
% 49.25/31.91 inference(rewrite,[status(thm)],[])).
% 49.25/31.91 tff(4822,plain,
% 49.25/31.91 (((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | ((~m_memory_v_busy(c_m, s1)) | node30(c_m, s1) | m_memory_v_reply_h_stall(c_m, s1))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | ((~m_memory_v_busy(c_m, s1)) | m_memory_v_reply_h_stall(c_m, s1) | node30(c_m, s1)))),
% 49.25/31.91 inference(monotonicity,[status(thm)],[4821])).
% 49.25/31.91 tff(4823,plain,
% 49.25/31.91 (((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | ((~m_memory_v_busy(c_m, s1)) | node30(c_m, s1) | m_memory_v_reply_h_stall(c_m, s1))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | (~m_memory_v_busy(c_m, s1)) | m_memory_v_reply_h_stall(c_m, s1) | node30(c_m, s1))),
% 49.25/31.91 inference(transitivity,[status(thm)],[4822, 4820])).
% 49.25/31.91 tff(4824,plain,
% 49.25/31.91 ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | ((~m_memory_v_busy(c_m, s1)) | node30(c_m, s1) | m_memory_v_reply_h_stall(c_m, s1))),
% 49.25/31.91 inference(quant_inst,[status(thm)],[])).
% 49.25/31.91 tff(4825,plain,
% 49.25/31.91 ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | (~m_memory_v_busy(c_m, s1)) | m_memory_v_reply_h_stall(c_m, s1) | node30(c_m, s1)),
% 49.25/31.91 inference(modus_ponens,[status(thm)],[4824, 4823])).
% 49.25/31.91 tff(4826,plain,
% 49.25/31.91 ($false),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[4825, 4819, 4809, 4808, 4807])).
% 49.25/31.91 tff(4827,plain,((~m_memory_v_busy(c_m, s1)) | node30(c_m, s1) | m_memory_v_reply_h_stall(c_m, s1)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.91 tff(4828,plain,
% 49.25/31.91 (node30(c_m, s1)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[4827, 4806, 3929])).
% 49.25/31.91 tff(4829,plain,
% 49.25/31.91 (~m_processor_v_master(c_p0, s0)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[2974, 3965])).
% 49.25/31.91 tff(4830,plain,
% 49.25/31.91 (m_processor_v_state(c_p0, s1, c_invalid)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[2846, 4829])).
% 49.25/31.91 tff(4831,plain,
% 49.25/31.91 (~node32(c_p0, s1, s2)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[3857, 4830, 3847])).
% 49.25/31.91 tff(4832,plain,
% 49.25/31.91 (~m_processor_v_abort(c_p0, s1)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[3871, 4831])).
% 49.25/31.91 tff(4833,plain,
% 49.25/31.91 (node60(c_p0, s1)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[3879, 4832])).
% 49.25/31.91 tff(4834,plain,
% 49.25/31.91 (~m_processor_v_REPLY_h_STALL(c_p0, s1)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[3887, 4833])).
% 49.25/31.91 tff(4835,plain,
% 49.25/31.91 (~m_main_v_REPLY_h_STALL(s1)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[3895, 4834])).
% 49.25/31.91 tff(4836,plain,
% 49.25/31.91 (node7(s1)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[3910, 4835])).
% 49.25/31.91 tff(4837,plain,
% 49.25/31.91 (~m_memory_v_reply_h_stall(c_m, s1)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[3928, 4836])).
% 49.25/31.91 tff(4838,plain,
% 49.25/31.91 (m_processor_v_master(c_p0, s1)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[3961, 4830, 3847])).
% 49.25/31.91 tff(4839,assumption,(~node8(s1)), introduced(assumption)).
% 49.25/31.91 tff(4840,assumption,(m_processor_v_master(c_p0, s1)), introduced(assumption)).
% 49.25/31.91 tff(4841,plain,
% 49.25/31.91 (((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p0, s1)) | (~node17(s1)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | (~m_processor_v_master(c_p0, s1)) | (~node17(s1)))),
% 49.25/31.91 inference(rewrite,[status(thm)],[])).
% 49.25/31.91 tff(4842,plain,
% 49.25/31.91 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p0, s1)) | (~node17(s1)))),
% 49.25/31.91 inference(quant_inst,[status(thm)],[])).
% 49.25/31.91 tff(4843,plain,
% 49.25/31.91 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | (~m_processor_v_master(c_p0, s1)) | (~node17(s1))),
% 49.25/31.91 inference(modus_ponens,[status(thm)],[4842, 4841])).
% 49.25/31.91 tff(4844,plain,
% 49.25/31.91 (~node17(s1)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[4843, 1275, 4840])).
% 49.25/31.91 tff(4845,plain,
% 49.25/31.91 (~m_memory_v_master(c_m, s1)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[3357, 4844])).
% 49.25/31.91 tff(4846,plain,
% 49.25/31.91 (~node29(c_m, s1)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[3365, 4845])).
% 49.25/31.91 tff(4847,plain,
% 49.25/31.91 (m_memory_v_cmd(c_m, s1, c_idle)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[3373, 4846])).
% 49.25/31.91 tff(4848,plain,
% 49.25/31.91 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | ((~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | node8(s1) | (~m_memory_v_cmd(c_m, s1, c_idle)))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | node8(s1) | (~m_memory_v_cmd(c_m, s1, c_idle)))),
% 49.25/31.91 inference(rewrite,[status(thm)],[])).
% 49.25/31.91 tff(4849,plain,
% 49.25/31.91 ((node8(s1) | (~m_memory_v_cmd(c_m, s1, c_idle)) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle))) <=> ((~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | node8(s1) | (~m_memory_v_cmd(c_m, s1, c_idle)))),
% 49.25/31.91 inference(rewrite,[status(thm)],[])).
% 49.25/31.91 tff(4850,plain,
% 49.25/31.91 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s1) | (~m_memory_v_cmd(c_m, s1, c_idle)) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle)))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | ((~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | node8(s1) | (~m_memory_v_cmd(c_m, s1, c_idle))))),
% 49.25/31.91 inference(monotonicity,[status(thm)],[4849])).
% 49.25/31.91 tff(4851,plain,
% 49.25/31.91 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s1) | (~m_memory_v_cmd(c_m, s1, c_idle)) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle)))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | node8(s1) | (~m_memory_v_cmd(c_m, s1, c_idle)))),
% 49.25/31.91 inference(transitivity,[status(thm)],[4850, 4848])).
% 49.25/31.91 tff(4852,plain,
% 49.25/31.91 ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s1) | (~m_memory_v_cmd(c_m, s1, c_idle)) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle)))),
% 49.25/31.91 inference(quant_inst,[status(thm)],[])).
% 49.25/31.91 tff(4853,plain,
% 49.25/31.91 ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | node8(s1) | (~m_memory_v_cmd(c_m, s1, c_idle))),
% 49.25/31.91 inference(modus_ponens,[status(thm)],[4852, 4851])).
% 49.25/31.91 tff(4854,plain,
% 49.25/31.91 ((~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle))),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[4853, 1593, 3182, 4839])).
% 49.25/31.91 tff(4855,plain,
% 49.25/31.91 (~m_processor_v_cmd(c_p2, s1, c_idle)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[4854, 4847])).
% 49.25/31.91 tff(4856,plain,
% 49.25/31.91 (((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | ((~node16(s1)) | (~m_processor_v_master(c_p0, s1)))) <=> ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | (~node16(s1)) | (~m_processor_v_master(c_p0, s1)))),
% 49.25/31.91 inference(rewrite,[status(thm)],[])).
% 49.25/31.91 tff(4857,plain,
% 49.25/31.91 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | ((~node16(s1)) | (~m_processor_v_master(c_p0, s1)))),
% 49.25/31.91 inference(quant_inst,[status(thm)],[])).
% 49.25/31.91 tff(4858,plain,
% 49.25/31.91 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | (~node16(s1)) | (~m_processor_v_master(c_p0, s1))),
% 49.25/31.91 inference(modus_ponens,[status(thm)],[4857, 4856])).
% 49.25/31.91 tff(4859,plain,
% 49.25/31.91 (~node16(s1)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[4858, 1530, 4840])).
% 49.25/31.91 tff(4860,plain,
% 49.25/31.91 (~m_processor_v_master(c_p2, s1)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[3393, 1545, 4859])).
% 49.25/31.91 tff(4861,plain,
% 49.25/31.91 (node64(c_p2, s1)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[3435, 4860, 4855])).
% 49.25/31.91 tff(4862,plain,
% 49.25/31.91 ($false),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[3397, 1482, 4860, 4861])).
% 49.25/31.91 tff(4863,plain,((~m_processor_v_master(c_p0, s1)) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | node8(s1)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.91 tff(4864,plain,
% 49.25/31.91 (~m_processor_v_cmd(c_p1, s1, c_idle)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[4863, 4840, 4839])).
% 49.25/31.91 tff(4865,plain,
% 49.25/31.91 (m_processor_v_master(c_p1, s1)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[3335, 4864])).
% 49.25/31.91 tff(4866,plain,
% 49.25/31.91 ($false),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[3257, 794, 4840, 4865])).
% 49.25/31.91 tff(4867,plain,((~m_processor_v_master(c_p0, s1)) | node8(s1)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.91 tff(4868,plain,
% 49.25/31.91 (node8(s1)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[4867, 4838])).
% 49.25/31.91 tff(4869,plain,
% 49.25/31.91 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | (~node38(c_p0, s1, s2)) | node34(c_p0, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | (~node38(c_p0, s1, s2)) | node34(c_p0, s1, s2))),
% 49.25/31.91 inference(rewrite,[status(thm)],[])).
% 49.25/31.91 tff(4870,plain,
% 49.25/31.91 ((node34(c_p0, s1, s2) | (~m_processor_v_master(c_p0, s1)) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1)) <=> ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | (~node38(c_p0, s1, s2)) | node34(c_p0, s1, s2))),
% 49.25/31.91 inference(rewrite,[status(thm)],[])).
% 49.25/31.91 tff(4871,plain,
% 49.25/31.91 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s1, s2) | (~m_processor_v_master(c_p0, s1)) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | (~node38(c_p0, s1, s2)) | node34(c_p0, s1, s2)))),
% 49.25/31.91 inference(monotonicity,[status(thm)],[4870])).
% 49.25/31.91 tff(4872,plain,
% 49.25/31.91 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s1, s2) | (~m_processor_v_master(c_p0, s1)) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | (~node38(c_p0, s1, s2)) | node34(c_p0, s1, s2))),
% 49.25/31.91 inference(transitivity,[status(thm)],[4871, 4869])).
% 49.25/31.91 tff(4873,plain,
% 49.25/31.91 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s1, s2) | (~m_processor_v_master(c_p0, s1)) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1))),
% 49.25/31.91 inference(quant_inst,[status(thm)],[])).
% 49.25/31.91 tff(4874,plain,
% 49.25/31.91 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | (~node38(c_p0, s1, s2)) | node34(c_p0, s1, s2)),
% 49.25/31.91 inference(modus_ponens,[status(thm)],[4873, 4872])).
% 49.25/31.91 tff(4875,plain,
% 49.25/31.91 ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | node34(c_p0, s1, s2)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[4874, 283, 3864])).
% 49.25/31.91 tff(4876,plain,
% 49.25/31.91 (node34(c_p0, s1, s2)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[4875, 4832, 4838])).
% 49.25/31.91 tff(4877,assumption,(node8(s1)), introduced(assumption)).
% 49.25/31.91 tff(4878,assumption,(m_processor_v_cmd(c_p0, s1, c_read_h_owned)), introduced(assumption)).
% 49.25/31.91 tff(4879,plain,
% 49.25/31.91 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_read_h_owned))) <=> ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_read_h_owned))))),
% 49.25/31.91 inference(bind,[status(th)],[])).
% 49.25/31.91 tff(4880,plain,
% 49.25/31.91 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_read_h_owned))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))),
% 49.25/31.91 inference(quant_intro,[status(thm)],[4879])).
% 49.25/31.91 tff(4881,plain,
% 49.25/31.91 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_read_h_owned))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))),
% 49.25/31.91 inference(rewrite,[status(thm)],[])).
% 49.25/31.91 tff(4882,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_10')).
% 49.25/31.91 tff(4883,plain,
% 49.25/31.91 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))),
% 49.25/31.91 inference(modus_ponens,[status(thm)],[4882, 4881])).
% 49.25/31.91 tff(4884,plain,(
% 49.25/31.91 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))),
% 49.25/31.91 inference(skolemize,[status(sab)],[4883])).
% 49.25/31.91 tff(4885,plain,
% 49.25/31.91 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))),
% 49.25/31.91 inference(modus_ponens,[status(thm)],[4884, 4880])).
% 49.25/31.91 tff(4886,plain,
% 49.25/31.91 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_shared)))),
% 49.25/31.91 inference(rewrite,[status(thm)],[])).
% 49.25/31.91 tff(4887,plain,
% 49.25/31.91 (((~m_processor_v_cmd(c_p0, s1, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned))) <=> ((~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_shared)))),
% 49.25/31.91 inference(rewrite,[status(thm)],[])).
% 49.25/31.91 tff(4888,plain,
% 49.25/31.91 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p0, s1, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_shared))))),
% 49.25/31.91 inference(monotonicity,[status(thm)],[4887])).
% 49.25/31.91 tff(4889,plain,
% 49.25/31.91 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p0, s1, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_shared)))),
% 49.25/31.91 inference(transitivity,[status(thm)],[4888, 4886])).
% 49.25/31.91 tff(4890,plain,
% 49.25/31.91 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p0, s1, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)))),
% 49.25/31.91 inference(quant_inst,[status(thm)],[])).
% 49.25/31.91 tff(4891,plain,
% 49.25/31.91 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_shared))),
% 49.25/31.91 inference(modus_ponens,[status(thm)],[4890, 4889])).
% 49.25/31.91 tff(4892,plain,
% 49.25/31.91 (~m_processor_v_cmd(c_p0, s1, c_read_h_shared)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[4891, 4885, 4878])).
% 49.25/31.91 tff(4893,assumption,(node34(c_p0, s1, s2)), introduced(assumption)).
% 49.25/31.91 tff(4894,plain,
% 49.25/31.91 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~node8(s1)) | m_main_v_CMD(s1, c_read_h_owned))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~node8(s1)) | m_main_v_CMD(s1, c_read_h_owned))),
% 49.25/31.91 inference(rewrite,[status(thm)],[])).
% 49.25/31.91 tff(4895,plain,
% 49.25/31.91 ((m_main_v_CMD(s1, c_read_h_owned) | (~node8(s1)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned))) <=> ((~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~node8(s1)) | m_main_v_CMD(s1, c_read_h_owned))),
% 49.25/31.91 inference(rewrite,[status(thm)],[])).
% 49.25/31.91 tff(4896,plain,
% 49.25/31.91 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s1, c_read_h_owned) | (~node8(s1)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~node8(s1)) | m_main_v_CMD(s1, c_read_h_owned)))),
% 49.25/31.91 inference(monotonicity,[status(thm)],[4895])).
% 49.25/31.91 tff(4897,plain,
% 49.25/31.91 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s1, c_read_h_owned) | (~node8(s1)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~node8(s1)) | m_main_v_CMD(s1, c_read_h_owned))),
% 49.25/31.91 inference(transitivity,[status(thm)],[4896, 4894])).
% 49.25/31.91 tff(4898,plain,
% 49.25/31.91 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s1, c_read_h_owned) | (~node8(s1)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)))),
% 49.25/31.91 inference(quant_inst,[status(thm)],[])).
% 49.25/31.91 tff(4899,plain,
% 49.25/31.91 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~node8(s1)) | m_main_v_CMD(s1, c_read_h_owned)),
% 49.25/31.91 inference(modus_ponens,[status(thm)],[4898, 4897])).
% 49.25/31.91 tff(4900,plain,
% 49.25/31.91 ($false),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[4899, 1669, 3376, 4877, 4878])).
% 49.25/31.91 tff(4901,plain,((~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | m_main_v_CMD(s1, c_read_h_owned) | (~node8(s1))), inference(lemma,lemma(discharge,[]))).
% 49.25/31.91 tff(4902,plain,
% 49.25/31.91 (m_main_v_CMD(s1, c_read_h_owned)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[4901, 4878, 4877])).
% 49.25/31.91 tff(4903,assumption,(~m_processor_v_CMD(c_p0, s1, c_read_h_owned)), introduced(assumption)).
% 49.25/31.91 tff(4904,assumption,(~node2(s1)), introduced(assumption)).
% 49.25/31.91 tff(4905,plain,
% 49.25/31.91 ((~![X: $i] : node2(X)) | node2(s1)),
% 49.25/31.91 inference(quant_inst,[status(thm)],[])).
% 49.25/31.91 tff(4906,plain,
% 49.25/31.91 ($false),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[4905, 1215, 4904])).
% 49.25/31.91 tff(4907,plain,(node2(s1)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.91 tff(4908,plain,
% 49.25/31.91 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned)) | (~node2(s1)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned)) | (~node2(s1)))),
% 49.25/31.91 inference(rewrite,[status(thm)],[])).
% 49.25/31.91 tff(4909,plain,
% 49.25/31.91 (((~m_main_v_CMD(s1, c_read_h_owned)) | (~node2(s1)) | m_processor_v_CMD(c_p0, s1, c_read_h_owned)) <=> (m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned)) | (~node2(s1)))),
% 49.25/31.91 inference(rewrite,[status(thm)],[])).
% 49.25/31.91 tff(4910,plain,
% 49.25/31.91 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_read_h_owned)) | (~node2(s1)) | m_processor_v_CMD(c_p0, s1, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned)) | (~node2(s1))))),
% 49.25/31.91 inference(monotonicity,[status(thm)],[4909])).
% 49.25/31.91 tff(4911,plain,
% 49.25/31.91 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_read_h_owned)) | (~node2(s1)) | m_processor_v_CMD(c_p0, s1, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned)) | (~node2(s1)))),
% 49.25/31.91 inference(transitivity,[status(thm)],[4910, 4908])).
% 49.25/31.91 tff(4912,plain,
% 49.25/31.91 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_read_h_owned)) | (~node2(s1)) | m_processor_v_CMD(c_p0, s1, c_read_h_owned))),
% 49.25/31.91 inference(quant_inst,[status(thm)],[])).
% 49.25/31.91 tff(4913,plain,
% 49.25/31.91 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned)) | (~node2(s1))),
% 49.25/31.91 inference(modus_ponens,[status(thm)],[4912, 4911])).
% 49.25/31.91 tff(4914,plain,
% 49.25/31.91 ($false),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[4913, 1228, 4907, 4903, 3724])).
% 49.25/31.91 tff(4915,plain,((~m_main_v_CMD(s1, c_read_h_owned)) | m_processor_v_CMD(c_p0, s1, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.91 tff(4916,plain,
% 49.25/31.91 (m_processor_v_CMD(c_p0, s1, c_read_h_owned)),
% 49.25/31.91 inference(unit_resolution,[status(thm)],[4915, 4902])).
% 49.25/31.91 tff(4917,assumption,(~m_processor_v_CMD(c_p0, s1, c_read_h_shared)), introduced(assumption)).
% 49.25/31.91 tff(4918,assumption,(m_processor_v_CMD(c_p0, s1, c_read_h_owned)), introduced(assumption)).
% 49.25/31.91 tff(4919,plain,
% 49.25/31.91 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node34(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node34(c_p0, s1, s2)))),
% 49.25/31.91 inference(rewrite,[status(thm)],[])).
% 49.25/31.91 tff(4920,plain,
% 49.25/31.91 (((~node34(c_p0, s1, s2)) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned))) <=> (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node34(c_p0, s1, s2)))),
% 49.25/31.91 inference(rewrite,[status(thm)],[])).
% 49.25/31.91 tff(4921,plain,
% 49.25/31.91 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p0, s1, s2)) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node34(c_p0, s1, s2))))),
% 49.25/31.92 inference(monotonicity,[status(thm)],[4920])).
% 49.25/31.92 tff(4922,plain,
% 49.25/31.92 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p0, s1, s2)) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node34(c_p0, s1, s2)))),
% 49.25/31.92 inference(transitivity,[status(thm)],[4921, 4919])).
% 49.25/31.92 tff(4923,plain,
% 49.25/31.92 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p0, s1, s2)) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)))),
% 49.25/31.92 inference(quant_inst,[status(thm)],[])).
% 49.25/31.92 tff(4924,plain,
% 49.25/31.92 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node34(c_p0, s1, s2))),
% 49.25/31.92 inference(modus_ponens,[status(thm)],[4923, 4922])).
% 49.25/31.92 tff(4925,plain,
% 49.25/31.92 ($false),
% 49.25/31.92 inference(unit_resolution,[status(thm)],[4924, 1864, 4918, 2667, 4893, 4917])).
% 49.25/31.92 tff(4926,plain,((~node34(c_p0, s1, s2)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | m_processor_v_state(c_p0, s2, c_owned) | m_processor_v_CMD(c_p0, s1, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.92 tff(4927,plain,
% 49.25/31.92 (m_processor_v_CMD(c_p0, s1, c_read_h_shared)),
% 49.25/31.92 inference(unit_resolution,[status(thm)],[4926, 4916, 2667, 4893])).
% 49.25/31.92 tff(4928,plain,
% 49.25/31.92 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node2(s1)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s1, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node2(s1)))),
% 49.25/31.92 inference(rewrite,[status(thm)],[])).
% 49.25/31.92 tff(4929,plain,
% 49.25/31.92 ((m_main_v_CMD(s1, c_read_h_shared) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared))) <=> (m_main_v_CMD(s1, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node2(s1)))),
% 49.25/31.92 inference(rewrite,[status(thm)],[])).
% 49.25/31.92 tff(4930,plain,
% 49.25/31.92 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node2(s1))))),
% 49.25/31.92 inference(monotonicity,[status(thm)],[4929])).
% 49.25/31.92 tff(4931,plain,
% 49.25/31.92 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s1, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node2(s1)))),
% 49.25/31.92 inference(transitivity,[status(thm)],[4930, 4928])).
% 49.25/31.92 tff(4932,plain,
% 49.25/31.92 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)))),
% 49.25/31.92 inference(quant_inst,[status(thm)],[])).
% 49.25/31.92 tff(4933,plain,
% 49.25/31.92 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s1, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node2(s1))),
% 49.25/31.92 inference(modus_ponens,[status(thm)],[4932, 4931])).
% 49.25/31.92 tff(4934,plain,
% 49.25/31.92 (m_main_v_CMD(s1, c_read_h_shared)),
% 49.25/31.92 inference(unit_resolution,[status(thm)],[4933, 1612, 4907, 4927])).
% 49.25/31.92 tff(4935,plain,
% 49.25/31.92 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_shared) | (~m_main_v_CMD(s1, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_shared) | (~m_main_v_CMD(s1, c_read_h_shared)))),
% 49.25/31.92 inference(rewrite,[status(thm)],[])).
% 49.25/31.92 tff(4936,plain,
% 49.25/31.92 (((~m_main_v_CMD(s1, c_read_h_shared)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_shared)) <=> ((~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_shared) | (~m_main_v_CMD(s1, c_read_h_shared)))),
% 49.25/31.92 inference(rewrite,[status(thm)],[])).
% 49.25/31.92 tff(4937,plain,
% 49.25/31.92 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_read_h_shared)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_shared) | (~m_main_v_CMD(s1, c_read_h_shared))))),
% 49.25/31.92 inference(monotonicity,[status(thm)],[4936])).
% 49.25/31.92 tff(4938,plain,
% 49.25/31.92 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_read_h_shared)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_shared) | (~m_main_v_CMD(s1, c_read_h_shared)))),
% 49.25/31.92 inference(transitivity,[status(thm)],[4937, 4935])).
% 49.25/31.92 tff(4939,plain,
% 49.25/31.92 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_read_h_shared)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_shared))),
% 49.25/31.92 inference(quant_inst,[status(thm)],[])).
% 49.25/31.92 tff(4940,plain,
% 49.25/31.92 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_shared) | (~m_main_v_CMD(s1, c_read_h_shared))),
% 49.25/31.92 inference(modus_ponens,[status(thm)],[4939, 4938])).
% 49.25/31.92 tff(4941,plain,
% 49.25/31.92 ($false),
% 49.25/31.92 inference(unit_resolution,[status(thm)],[4940, 2191, 4934, 4892, 4877])).
% 49.25/31.92 tff(4942,plain,((~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~node8(s1)) | m_processor_v_state(c_p0, s2, c_owned) | (~node34(c_p0, s1, s2))), inference(lemma,lemma(discharge,[]))).
% 49.25/31.92 tff(4943,plain,
% 49.25/31.92 (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)),
% 49.25/31.92 inference(unit_resolution,[status(thm)],[4942, 4876, 2667, 4868])).
% 49.25/31.92 tff(4944,plain,
% 49.25/31.92 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p0, s1)) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | m_processor_v_cmd(c_p0, s1, c_read_h_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p0, s1)) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | m_processor_v_cmd(c_p0, s1, c_read_h_shared))),
% 49.25/31.92 inference(rewrite,[status(thm)],[])).
% 49.25/31.92 tff(4945,plain,
% 49.25/31.92 ((m_processor_v_cmd(c_p0, s1, c_read_h_owned) | m_processor_v_cmd(c_p0, s1, c_read_h_shared) | (~m_processor_v_state(c_p0, s1, c_invalid)) | (~m_processor_v_master(c_p0, s1))) <=> ((~m_processor_v_master(c_p0, s1)) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | m_processor_v_cmd(c_p0, s1, c_read_h_shared))),
% 49.25/31.92 inference(rewrite,[status(thm)],[])).
% 49.25/31.92 tff(4946,plain,
% 49.25/31.92 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s1, c_read_h_owned) | m_processor_v_cmd(c_p0, s1, c_read_h_shared) | (~m_processor_v_state(c_p0, s1, c_invalid)) | (~m_processor_v_master(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p0, s1)) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | m_processor_v_cmd(c_p0, s1, c_read_h_shared)))),
% 49.25/31.92 inference(monotonicity,[status(thm)],[4945])).
% 49.25/31.92 tff(4947,plain,
% 49.25/31.92 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s1, c_read_h_owned) | m_processor_v_cmd(c_p0, s1, c_read_h_shared) | (~m_processor_v_state(c_p0, s1, c_invalid)) | (~m_processor_v_master(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p0, s1)) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | m_processor_v_cmd(c_p0, s1, c_read_h_shared))),
% 49.25/31.92 inference(transitivity,[status(thm)],[4946, 4944])).
% 49.25/31.92 tff(4948,plain,
% 49.25/31.92 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s1, c_read_h_owned) | m_processor_v_cmd(c_p0, s1, c_read_h_shared) | (~m_processor_v_state(c_p0, s1, c_invalid)) | (~m_processor_v_master(c_p0, s1)))),
% 49.25/31.92 inference(quant_inst,[status(thm)],[])).
% 49.25/31.92 tff(4949,plain,
% 49.25/31.92 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p0, s1)) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | m_processor_v_cmd(c_p0, s1, c_read_h_shared)),
% 49.25/31.92 inference(modus_ponens,[status(thm)],[4948, 4947])).
% 49.25/31.92 tff(4950,plain,
% 49.25/31.92 (m_processor_v_cmd(c_p0, s1, c_read_h_shared)),
% 49.25/31.92 inference(unit_resolution,[status(thm)],[4949, 1835, 4838, 4830, 4943])).
% 49.25/31.92 tff(4951,plain,
% 49.25/31.92 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~m_processor_v_cmd(c_p0, s1, c_read_h_shared)) | (~node8(s1)) | m_main_v_CMD(s1, c_read_h_shared))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s1, c_read_h_shared)) | (~node8(s1)) | m_main_v_CMD(s1, c_read_h_shared))),
% 49.25/31.92 inference(rewrite,[status(thm)],[])).
% 49.25/31.92 tff(4952,plain,
% 49.25/31.92 ((m_main_v_CMD(s1, c_read_h_shared) | (~node8(s1)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_shared))) <=> ((~m_processor_v_cmd(c_p0, s1, c_read_h_shared)) | (~node8(s1)) | m_main_v_CMD(s1, c_read_h_shared))),
% 49.25/31.92 inference(rewrite,[status(thm)],[])).
% 49.25/31.92 tff(4953,plain,
% 49.25/31.92 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~node8(s1)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~m_processor_v_cmd(c_p0, s1, c_read_h_shared)) | (~node8(s1)) | m_main_v_CMD(s1, c_read_h_shared)))),
% 49.25/31.92 inference(monotonicity,[status(thm)],[4952])).
% 49.25/31.92 tff(4954,plain,
% 49.25/31.92 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~node8(s1)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s1, c_read_h_shared)) | (~node8(s1)) | m_main_v_CMD(s1, c_read_h_shared))),
% 49.25/31.92 inference(transitivity,[status(thm)],[4953, 4951])).
% 49.25/31.92 tff(4955,plain,
% 49.25/31.92 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~node8(s1)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_shared)))),
% 49.25/31.92 inference(quant_inst,[status(thm)],[])).
% 49.25/31.92 tff(4956,plain,
% 49.25/31.92 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s1, c_read_h_shared)) | (~node8(s1)) | m_main_v_CMD(s1, c_read_h_shared)),
% 49.25/31.92 inference(modus_ponens,[status(thm)],[4955, 4954])).
% 49.25/31.92 tff(4957,plain,
% 49.25/31.92 (m_main_v_CMD(s1, c_read_h_shared)),
% 49.25/31.92 inference(unit_resolution,[status(thm)],[4956, 1669, 4950, 4868])).
% 49.25/31.92 tff(4958,assumption,(~node1(s1)), introduced(assumption)).
% 49.25/31.92 tff(4959,plain,
% 49.25/31.92 ((~![X: $i] : node1(X)) | node1(s1)),
% 49.25/31.92 inference(quant_inst,[status(thm)],[])).
% 49.25/31.92 tff(4960,plain,
% 49.25/31.92 ($false),
% 49.25/31.92 inference(unit_resolution,[status(thm)],[4959, 4194, 4958])).
% 49.25/31.92 tff(4961,plain,(node1(s1)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.92 tff(4962,plain,
% 49.25/31.92 (((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s1)) | (~m_main_v_CMD(s1, c_read_h_shared)) | m_memory_v_CMD(c_m, s1, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s1)) | (~m_main_v_CMD(s1, c_read_h_shared)) | m_memory_v_CMD(c_m, s1, c_read_h_shared))),
% 49.25/31.92 inference(rewrite,[status(thm)],[])).
% 49.25/31.92 tff(4963,plain,
% 49.25/31.92 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s1)) | (~m_main_v_CMD(s1, c_read_h_shared)) | m_memory_v_CMD(c_m, s1, c_read_h_shared))),
% 49.25/31.92 inference(quant_inst,[status(thm)],[])).
% 49.25/31.92 tff(4964,plain,
% 49.25/31.92 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s1)) | (~m_main_v_CMD(s1, c_read_h_shared)) | m_memory_v_CMD(c_m, s1, c_read_h_shared)),
% 49.25/31.92 inference(modus_ponens,[status(thm)],[4963, 4962])).
% 49.25/31.92 tff(4965,plain,
% 49.25/31.92 (m_memory_v_CMD(c_m, s1, c_read_h_shared)),
% 49.25/31.92 inference(unit_resolution,[status(thm)],[4964, 4207, 4961, 4957])).
% 49.25/31.92 tff(4966,plain,
% 49.25/31.92 (^[I0: $i, X: $i] : refl(((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X))) <=> ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X))))),
% 49.25/31.92 inference(bind,[status(th)],[])).
% 49.25/31.92 tff(4967,plain,
% 49.25/31.92 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X))) <=> ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X)))),
% 49.25/31.92 inference(quant_intro,[status(thm)],[4966])).
% 49.25/31.92 tff(4968,plain,
% 49.25/31.92 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X))) <=> ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X)))),
% 49.25/31.92 inference(rewrite,[status(thm)],[])).
% 49.25/31.92 tff(4969,axiom,(![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_73')).
% 49.25/31.92 tff(4970,plain,
% 49.25/31.92 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X)))),
% 49.25/31.92 inference(modus_ponens,[status(thm)],[4969, 4968])).
% 49.25/31.92 tff(4971,plain,(
% 49.25/31.92 ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X)))),
% 49.25/31.92 inference(skolemize,[status(sab)],[4970])).
% 49.25/31.92 tff(4972,plain,
% 49.25/31.92 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X)))),
% 49.25/31.92 inference(modus_ponens,[status(thm)],[4971, 4967])).
% 49.25/31.92 tff(4973,plain,
% 49.25/31.92 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s1, c_read_h_shared)) | (~node30(c_m, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X)))) | (~m_memory_v_CMD(c_m, s1, c_read_h_shared)) | (~node30(c_m, s1)))),
% 49.25/31.92 inference(rewrite,[status(thm)],[])).
% 49.25/31.92 tff(4974,plain,
% 49.25/31.92 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s1, c_read_h_shared)) | (~node30(c_m, s1)))),
% 49.25/31.92 inference(quant_inst,[status(thm)],[])).
% 49.25/31.92 tff(4975,plain,
% 49.25/31.92 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X)))) | (~m_memory_v_CMD(c_m, s1, c_read_h_shared)) | (~node30(c_m, s1))),
% 49.25/31.92 inference(modus_ponens,[status(thm)],[4974, 4973])).
% 49.25/31.92 tff(4976,plain,
% 49.25/31.92 (~node30(c_m, s1)),
% 49.25/31.92 inference(unit_resolution,[status(thm)],[4975, 4972, 4965])).
% 49.25/31.92 tff(4977,plain,
% 49.25/31.92 (~m_memory_v_busy(c_m, s1)),
% 49.25/31.92 inference(unit_resolution,[status(thm)],[4827, 4976, 4837])).
% 49.25/31.92 tff(4978,plain,
% 49.25/31.92 (m_main_v_CMD(s0, c_read_h_owned)),
% 49.25/31.92 inference(unit_resolution,[status(thm)],[4780, 4977, 3057])).
% 49.25/31.92 tff(4979,plain,
% 49.25/31.92 (m_processor_v_CMD(c_p1, s0, c_read_h_owned)),
% 49.25/31.92 inference(unit_resolution,[status(thm)],[4786, 4978])).
% 49.25/31.92 tff(4980,plain,
% 49.25/31.92 (~node59(c_p1, s0)),
% 49.25/31.92 inference(unit_resolution,[status(thm)],[4795, 4979])).
% 49.25/31.92 tff(4981,plain,
% 49.25/31.92 (~m_processor_v_REPLY_h_WAITING(c_p1, s0)),
% 49.25/31.92 inference(unit_resolution,[status(thm)],[4770, 4980, 3986])).
% 49.25/31.92 tff(4982,plain,
% 49.25/31.92 (~m_main_v_REPLY_h_WAITING(s0)),
% 49.25/31.92 inference(unit_resolution,[status(thm)],[4778, 4981])).
% 49.25/31.92 tff(4983,plain,
% 49.25/31.92 (~m_memory_v_REPLY_h_WAITING(c_m, s0)),
% 49.25/31.92 inference(unit_resolution,[status(thm)],[4682, 4982])).
% 49.25/31.92 tff(4984,plain,
% 49.25/31.92 (~node27(c_m, s0)),
% 49.25/31.92 inference(unit_resolution,[status(thm)],[4664, 4983])).
% 49.25/31.92 tff(4985,plain,
% 49.25/31.92 (~m_memory_v_abort(c_m, s0)),
% 49.25/31.92 inference(unit_resolution,[status(thm)],[4649, 4984, 4020])).
% 49.25/31.92 tff(4986,plain,
% 49.25/31.92 (node20(c_m, s0)),
% 49.25/31.92 inference(unit_resolution,[status(thm)],[4513, 4985, 4977, 3977])).
% 49.25/31.92 tff(4987,plain,
% 49.25/31.92 (~m_memory_v_CMD(c_m, s0, c_read_h_owned)),
% 49.25/31.92 inference(unit_resolution,[status(thm)],[4228, 4225, 4986])).
% 49.25/31.92 tff(4988,plain,
% 49.25/31.92 ($false),
% 49.25/31.92 inference(unit_resolution,[status(thm)],[4232, 4207, 4197, 4978, 4987])).
% 49.25/31.92 tff(4989,plain,(m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_state(c_p0, s2, c_owned) | m_processor_v_state(c_p0, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.92 tff(4990,plain,
% 49.25/31.92 (m_processor_v_state(c_p1, s1, c_invalid)),
% 49.25/31.92 inference(unit_resolution,[status(thm)],[4989, 3847, 2667])).
% 49.25/31.92 tff(4991,plain,
% 49.25/31.92 (m_processor_v_master(c_p1, s1)),
% 49.25/31.92 inference(unit_resolution,[status(thm)],[3178, 4990, 3147, 2781])).
% 49.25/31.92 tff(4992,plain,
% 49.25/31.92 ($false),
% 49.25/31.92 inference(unit_resolution,[status(thm)],[3257, 794, 3962, 4991])).
% 49.25/31.92 tff(4993,plain,(m_processor_v_state(c_p0, s2, c_invalid) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s2, c_invalid) | m_processor_v_state(c_p0, s2, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.25/31.92 tff(4994,plain,
% 49.25/31.92 (m_processor_v_state(c_p0, s2, c_owned)),
% 49.25/31.92 inference(unit_resolution,[status(thm)],[4993, 3847, 2781, 3147])).
% 49.25/31.92 tff(4995,plain,
% 49.25/31.92 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s2, c_owned)) | (~m_processor_v_state(c_p0, s2, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~m_processor_v_state(c_p0, s2, c_shared)))),
% 49.25/31.92 inference(rewrite,[status(thm)],[])).
% 49.25/31.92 tff(4996,plain,
% 49.25/31.92 (((~m_processor_v_state(c_p0, s2, c_shared)) | (~m_processor_v_state(c_p0, s2, c_owned))) <=> ((~m_processor_v_state(c_p0, s2, c_owned)) | (~m_processor_v_state(c_p0, s2, c_shared)))),
% 49.25/31.92 inference(rewrite,[status(thm)],[])).
% 49.25/31.92 tff(4997,plain,
% 49.25/31.92 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | (~m_processor_v_state(c_p0, s2, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s2, c_owned)) | (~m_processor_v_state(c_p0, s2, c_shared))))),
% 49.31/31.92 inference(monotonicity,[status(thm)],[4996])).
% 49.31/31.92 tff(4998,plain,
% 49.31/31.92 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | (~m_processor_v_state(c_p0, s2, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~m_processor_v_state(c_p0, s2, c_shared)))),
% 49.31/31.92 inference(transitivity,[status(thm)],[4997, 4995])).
% 49.31/31.92 tff(4999,plain,
% 49.31/31.92 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | (~m_processor_v_state(c_p0, s2, c_owned)))),
% 49.31/31.92 inference(quant_inst,[status(thm)],[])).
% 49.31/31.92 tff(5000,plain,
% 49.31/31.92 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~m_processor_v_state(c_p0, s2, c_shared))),
% 49.31/31.92 inference(modus_ponens,[status(thm)],[4999, 4998])).
% 49.31/31.92 tff(5001,plain,
% 49.31/31.92 (~m_processor_v_state(c_p0, s2, c_shared)),
% 49.31/31.92 inference(unit_resolution,[status(thm)],[5000, 121, 4994])).
% 49.31/31.92 tff(5002,plain,
% 49.31/31.92 (~m_processor_v_master(c_p1, s1)),
% 49.31/31.92 inference(unit_resolution,[status(thm)],[3257, 794, 4840])).
% 49.31/31.92 tff(5003,plain,
% 49.31/31.92 (m_processor_v_cmd(c_p1, s1, c_idle)),
% 49.31/31.92 inference(unit_resolution,[status(thm)],[3335, 5002])).
% 49.31/31.92 tff(5004,plain,
% 49.31/31.92 (node8(s1)),
% 49.31/31.92 inference(unit_resolution,[status(thm)],[4863, 5003, 4840])).
% 49.31/31.92 tff(5005,plain,
% 49.31/31.92 (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)),
% 49.31/31.92 inference(unit_resolution,[status(thm)],[4901, 5004, 3376])).
% 49.31/31.92 tff(5006,plain,
% 49.31/31.92 (m_processor_v_cmd(c_p0, s1, c_read_h_owned) | m_processor_v_cmd(c_p0, s1, c_read_h_shared)),
% 49.31/31.92 inference(unit_resolution,[status(thm)],[4949, 1835, 4840, 3849])).
% 49.31/31.92 tff(5007,plain,
% 49.31/31.92 (m_processor_v_cmd(c_p0, s1, c_read_h_shared)),
% 49.31/31.92 inference(unit_resolution,[status(thm)],[5006, 5005])).
% 49.31/31.92 tff(5008,plain,
% 49.31/31.92 (node34(c_p0, s1, s2)),
% 49.31/31.92 inference(unit_resolution,[status(thm)],[4875, 4840, 3874])).
% 49.31/31.92 tff(5009,assumption,(m_processor_v_CMD(c_p0, s1, c_read_h_shared)), introduced(assumption)).
% 49.31/31.92 tff(5010,plain,
% 49.31/31.92 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node34(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node34(c_p0, s1, s2)))),
% 49.31/31.92 inference(rewrite,[status(thm)],[])).
% 49.31/31.92 tff(5011,plain,
% 49.31/31.92 (((~node34(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared))) <=> (m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node34(c_p0, s1, s2)))),
% 49.31/31.92 inference(rewrite,[status(thm)],[])).
% 49.31/31.92 tff(5012,plain,
% 49.31/31.92 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node34(c_p0, s1, s2))))),
% 49.31/31.92 inference(monotonicity,[status(thm)],[5011])).
% 49.31/31.92 tff(5013,plain,
% 49.31/31.92 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node34(c_p0, s1, s2)))),
% 49.31/31.92 inference(transitivity,[status(thm)],[5012, 5010])).
% 49.31/31.92 tff(5014,plain,
% 49.31/31.92 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)))),
% 49.31/31.92 inference(quant_inst,[status(thm)],[])).
% 49.31/31.92 tff(5015,plain,
% 49.31/31.92 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node34(c_p0, s1, s2))),
% 49.31/31.92 inference(modus_ponens,[status(thm)],[5014, 5013])).
% 49.31/31.92 tff(5016,plain,
% 49.31/31.92 ($false),
% 49.31/31.92 inference(unit_resolution,[status(thm)],[5015, 416, 2668, 4893, 5009])).
% 49.31/31.92 tff(5017,plain,((~node34(c_p0, s1, s2)) | m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 49.31/31.92 tff(5018,plain,
% 49.31/31.92 (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)),
% 49.31/31.92 inference(unit_resolution,[status(thm)],[5017, 5008, 2668])).
% 49.31/31.92 tff(5019,plain,
% 49.31/31.92 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~m_main_v_CMD(s1, c_read_h_shared)) | (~node2(s1)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~m_main_v_CMD(s1, c_read_h_shared)) | (~node2(s1)))),
% 49.31/31.92 inference(rewrite,[status(thm)],[])).
% 49.31/31.92 tff(5020,plain,
% 49.31/31.92 (((~m_main_v_CMD(s1, c_read_h_shared)) | (~node2(s1)) | m_processor_v_CMD(c_p0, s1, c_read_h_shared)) <=> (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~m_main_v_CMD(s1, c_read_h_shared)) | (~node2(s1)))),
% 49.31/31.92 inference(rewrite,[status(thm)],[])).
% 49.31/31.92 tff(5021,plain,
% 49.31/31.92 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_read_h_shared)) | (~node2(s1)) | m_processor_v_CMD(c_p0, s1, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~m_main_v_CMD(s1, c_read_h_shared)) | (~node2(s1))))),
% 49.31/31.92 inference(monotonicity,[status(thm)],[5020])).
% 49.31/31.92 tff(5022,plain,
% 49.31/31.92 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_read_h_shared)) | (~node2(s1)) | m_processor_v_CMD(c_p0, s1, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~m_main_v_CMD(s1, c_read_h_shared)) | (~node2(s1)))),
% 49.31/31.92 inference(transitivity,[status(thm)],[5021, 5019])).
% 49.31/31.92 tff(5023,plain,
% 49.31/31.92 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_read_h_shared)) | (~node2(s1)) | m_processor_v_CMD(c_p0, s1, c_read_h_shared))),
% 49.31/31.92 inference(quant_inst,[status(thm)],[])).
% 49.31/31.92 tff(5024,plain,
% 49.31/31.92 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~m_main_v_CMD(s1, c_read_h_shared)) | (~node2(s1))),
% 49.31/31.92 inference(modus_ponens,[status(thm)],[5023, 5022])).
% 49.31/31.92 tff(5025,plain,
% 49.31/31.92 (~m_main_v_CMD(s1, c_read_h_shared)),
% 49.31/31.92 inference(unit_resolution,[status(thm)],[5024, 1228, 4907, 5018])).
% 49.31/31.92 tff(5026,plain,
% 49.31/31.92 ($false),
% 49.31/31.92 inference(unit_resolution,[status(thm)],[4956, 1669, 5025, 5007, 5004])).
% 49.31/31.92 tff(5027,plain,((~m_processor_v_master(c_p0, s1)) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_main_v_CMD(s1, c_read_h_owned) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_abort(c_p0, s1)), inference(lemma,lemma(discharge,[]))).
% 49.31/31.92 tff(5028,plain,
% 49.31/31.92 (m_main_v_CMD(s1, c_read_h_owned)),
% 49.31/31.92 inference(unit_resolution,[status(thm)],[5027, 5001, 3872, 3962, 3846])).
% 49.31/31.93 tff(5029,assumption,(~m_memory_v_CMD(c_m, s1, c_read_h_owned)), introduced(assumption)).
% 49.31/31.93 tff(5030,plain,
% 49.31/31.93 (((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s1)) | (~m_main_v_CMD(s1, c_read_h_owned)) | m_memory_v_CMD(c_m, s1, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s1)) | (~m_main_v_CMD(s1, c_read_h_owned)) | m_memory_v_CMD(c_m, s1, c_read_h_owned))),
% 49.31/31.93 inference(rewrite,[status(thm)],[])).
% 49.31/31.93 tff(5031,plain,
% 49.31/31.93 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s1)) | (~m_main_v_CMD(s1, c_read_h_owned)) | m_memory_v_CMD(c_m, s1, c_read_h_owned))),
% 49.31/31.93 inference(quant_inst,[status(thm)],[])).
% 49.31/31.93 tff(5032,plain,
% 49.31/31.93 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s1)) | (~m_main_v_CMD(s1, c_read_h_owned)) | m_memory_v_CMD(c_m, s1, c_read_h_owned)),
% 49.31/31.93 inference(modus_ponens,[status(thm)],[5031, 5030])).
% 49.31/31.93 tff(5033,plain,
% 49.31/31.93 ($false),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[5032, 4207, 4961, 3724, 5029])).
% 49.31/31.93 tff(5034,plain,(m_memory_v_CMD(c_m, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 49.31/31.93 tff(5035,plain,
% 49.31/31.93 (m_memory_v_CMD(c_m, s1, c_read_h_owned)),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[5034, 5028])).
% 49.31/31.93 tff(5036,plain,
% 49.31/31.93 (^[I0: $i, X: $i] : refl(((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X))) <=> ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X))))),
% 49.31/31.93 inference(bind,[status(th)],[])).
% 49.31/31.93 tff(5037,plain,
% 49.31/31.93 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X))) <=> ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))),
% 49.31/31.93 inference(quant_intro,[status(thm)],[5036])).
% 49.31/31.93 tff(5038,plain,
% 49.31/31.93 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X))) <=> ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))),
% 49.31/31.93 inference(rewrite,[status(thm)],[])).
% 49.31/31.93 tff(5039,axiom,(![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_74')).
% 49.31/31.93 tff(5040,plain,
% 49.31/31.93 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))),
% 49.31/31.93 inference(modus_ponens,[status(thm)],[5039, 5038])).
% 49.31/31.93 tff(5041,plain,(
% 49.31/31.93 ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))),
% 49.31/31.93 inference(skolemize,[status(sab)],[5040])).
% 49.31/31.93 tff(5042,plain,
% 49.31/31.93 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))),
% 49.31/31.93 inference(modus_ponens,[status(thm)],[5041, 5037])).
% 49.31/31.93 tff(5043,plain,
% 49.31/31.93 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s1, c_read_h_owned)) | (~node30(c_m, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | (~m_memory_v_CMD(c_m, s1, c_read_h_owned)) | (~node30(c_m, s1)))),
% 49.31/31.93 inference(rewrite,[status(thm)],[])).
% 49.31/31.93 tff(5044,plain,
% 49.31/31.93 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s1, c_read_h_owned)) | (~node30(c_m, s1)))),
% 49.31/31.93 inference(quant_inst,[status(thm)],[])).
% 49.31/31.93 tff(5045,plain,
% 49.31/31.93 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | (~m_memory_v_CMD(c_m, s1, c_read_h_owned)) | (~node30(c_m, s1))),
% 49.31/31.93 inference(modus_ponens,[status(thm)],[5044, 5043])).
% 49.31/31.93 tff(5046,plain,
% 49.31/31.93 ($false),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[5045, 5042, 5035, 4828])).
% 49.31/31.93 tff(5047,plain,(m_processor_v_state(c_p0, s2, c_invalid) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.31/31.93 tff(5048,plain,
% 49.31/31.93 (~m_processor_v_state(c_p1, s2, c_owned)),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[5047, 3847, 2781])).
% 49.31/31.93 tff(5049,plain,
% 49.31/31.93 (m_processor_v_state(c_p1, s2, c_shared)),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[3117, 2781, 3112])).
% 49.31/31.93 tff(5050,plain,
% 49.31/31.93 (m_processor_v_master(c_p1, s1)),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[3813, 5049, 3789])).
% 49.31/31.93 tff(5051,plain,
% 49.31/31.93 (m_processor_v_master(c_p0, s1)),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[3961, 3846, 3847])).
% 49.31/31.93 tff(5052,plain,
% 49.31/31.93 ($false),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[3257, 794, 5051, 5050])).
% 49.31/31.93 tff(5053,plain,(m_processor_v_state(c_p1, s2, c_invalid) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_state(c_p0, s2, c_invalid) | m_processor_v_state(c_p1, s2, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.31/31.93 tff(5054,plain,
% 49.31/31.93 (m_processor_v_state(c_p1, s1, c_shared)),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[5053, 3847, 2781, 5048])).
% 49.31/31.93 tff(5055,assumption,(m_processor_v_state(c_p1, s1, c_shared)), introduced(assumption)).
% 49.31/31.93 tff(5056,plain,
% 49.31/31.93 ($false),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[3107, 977, 3104, 5055])).
% 49.31/31.93 tff(5057,plain,((~m_processor_v_state(c_p1, s1, c_invalid)) | (~m_processor_v_state(c_p1, s1, c_shared))), inference(lemma,lemma(discharge,[]))).
% 49.31/31.93 tff(5058,plain,
% 49.31/31.93 (~m_processor_v_state(c_p1, s1, c_invalid)),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[5057, 5054])).
% 49.31/31.93 tff(5059,plain,
% 49.31/31.93 (m_memory_v_busy(c_m, s1)),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[4805, 5058])).
% 49.31/31.93 tff(5060,plain,
% 49.31/31.93 (m_processor_v_master(c_p0, s1)),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[3961, 3847, 3849])).
% 49.31/31.93 tff(5061,plain,
% 49.31/31.93 (m_processor_v_state(c_p0, s2, c_shared)),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[5027, 5060, 3376, 3874, 3849])).
% 49.31/31.93 tff(5062,plain,
% 49.31/31.93 (m_processor_v_state(c_p0, s2, c_owned)),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[4989, 3847, 3057])).
% 49.31/31.93 tff(5063,plain,
% 49.31/31.93 ($false),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[5000, 121, 5062, 5061])).
% 49.31/31.93 tff(5064,plain,(m_processor_v_state(c_p0, s2, c_invalid) | m_main_v_CMD(s1, c_read_h_owned) | m_processor_v_abort(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_state(c_p1, s1, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.31/31.93 tff(5065,plain,
% 49.31/31.93 (m_main_v_CMD(s1, c_read_h_owned)),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[5064, 3872, 3846, 3847, 5058])).
% 49.31/31.93 tff(5066,plain,
% 49.31/31.93 (m_memory_v_CMD(c_m, s1, c_read_h_owned)),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[5034, 5065])).
% 49.31/31.93 tff(5067,assumption,(node30(c_m, s1)), introduced(assumption)).
% 49.31/31.93 tff(5068,assumption,(m_memory_v_CMD(c_m, s1, c_read_h_owned)), introduced(assumption)).
% 49.31/31.93 tff(5069,plain,
% 49.31/31.93 ($false),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[5045, 5042, 5068, 5067])).
% 49.31/31.93 tff(5070,plain,((~m_memory_v_CMD(c_m, s1, c_read_h_owned)) | (~node30(c_m, s1))), inference(lemma,lemma(discharge,[]))).
% 49.31/31.93 tff(5071,plain,
% 49.31/31.93 (~node30(c_m, s1)),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[5070, 5066])).
% 49.31/31.93 tff(5072,plain,
% 49.31/31.93 (m_memory_v_reply_h_stall(c_m, s1)),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[4827, 5071, 5059])).
% 49.31/31.93 tff(5073,plain,
% 49.31/31.93 ($false),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[3928, 5072, 3911])).
% 49.31/31.93 tff(5074,plain,(m_processor_v_state(c_p0, s2, c_invalid) | m_processor_v_state(c_p1, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.31/31.93 tff(5075,plain,
% 49.31/31.93 (m_processor_v_state(c_p1, s2, c_invalid)),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[5074, 2780])).
% 49.31/31.93 tff(5076,assumption,(m_processor_v_state(c_p1, s2, c_invalid)), introduced(assumption)).
% 49.31/31.93 tff(5077,plain,
% 49.31/31.93 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_state(c_p1, s2, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_state(c_p1, s2, c_shared)))),
% 49.31/31.93 inference(rewrite,[status(thm)],[])).
% 49.31/31.93 tff(5078,plain,
% 49.31/31.93 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_state(c_p1, s2, c_shared)))),
% 49.31/31.93 inference(quant_inst,[status(thm)],[])).
% 49.31/31.93 tff(5079,plain,
% 49.31/31.93 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_state(c_p1, s2, c_shared))),
% 49.31/31.93 inference(modus_ponens,[status(thm)],[5078, 5077])).
% 49.31/31.93 tff(5080,plain,
% 49.31/31.93 ($false),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[5079, 977, 3794, 5076])).
% 49.31/31.93 tff(5081,plain,((~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_state(c_p1, s2, c_shared))), inference(lemma,lemma(discharge,[]))).
% 49.31/31.93 tff(5082,plain,
% 49.31/31.93 (~m_processor_v_state(c_p1, s2, c_shared)),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[5081, 5076])).
% 49.31/31.93 tff(5083,assumption,(node36(c_p1, s2)), introduced(assumption)).
% 49.31/31.93 tff(5084,plain,
% 49.31/31.93 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p1, s2, c_shared) | (~node36(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p1, s2, c_shared) | (~node36(c_p1, s2)))),
% 49.31/31.93 inference(rewrite,[status(thm)],[])).
% 49.31/31.93 tff(5085,plain,
% 49.31/31.93 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p1, s2, c_shared) | (~node36(c_p1, s2)))),
% 49.31/31.93 inference(quant_inst,[status(thm)],[])).
% 49.31/31.93 tff(5086,plain,
% 49.31/31.93 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p1, s2, c_shared) | (~node36(c_p1, s2))),
% 49.31/31.93 inference(modus_ponens,[status(thm)],[5085, 5084])).
% 49.31/31.93 tff(5087,plain,
% 49.31/31.93 ($false),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[5086, 167, 3110, 5083])).
% 49.31/31.93 tff(5088,plain,((~node36(c_p1, s2)) | m_processor_v_state(c_p1, s2, c_shared)), inference(lemma,lemma(discharge,[]))).
% 49.31/31.93 tff(5089,plain,
% 49.31/31.93 (~node36(c_p1, s2)),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[5088, 3110])).
% 49.31/31.93 tff(5090,assumption,(~m_processor_v_master(c_p1, s2)), introduced(assumption)).
% 49.31/31.93 tff(5091,assumption,(~m_processor_v_state(c_p1, s3, c_invalid)), introduced(assumption)).
% 49.31/31.93 tff(5092,assumption,(node37(c_p1, s2, s3)), introduced(assumption)).
% 49.31/31.93 tff(5093,plain,
% 49.31/31.93 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_state(c_p1, s3, c_invalid) | (~node37(c_p1, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_state(c_p1, s3, c_invalid) | (~node37(c_p1, s2, s3)))),
% 49.31/31.93 inference(rewrite,[status(thm)],[])).
% 49.31/31.93 tff(5094,plain,
% 49.31/31.93 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_state(c_p1, s3, c_invalid) | (~node37(c_p1, s2, s3)))),
% 49.31/31.93 inference(quant_inst,[status(thm)],[])).
% 49.31/31.93 tff(5095,plain,
% 49.31/31.93 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_state(c_p1, s3, c_invalid) | (~node37(c_p1, s2, s3))),
% 49.31/31.93 inference(modus_ponens,[status(thm)],[5094, 5093])).
% 49.31/31.93 tff(5096,plain,
% 49.31/31.93 ($false),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[5095, 2411, 5076, 5092, 5091])).
% 49.31/31.93 tff(5097,plain,((~m_processor_v_state(c_p1, s2, c_invalid)) | (~node37(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.31/31.93 tff(5098,plain,
% 49.31/31.93 (~node37(c_p1, s2, s3)),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[5097, 5091, 5076])).
% 49.31/31.93 tff(5099,assumption,(node32(c_p1, s2, s3)), introduced(assumption)).
% 49.31/31.93 tff(5100,plain,
% 49.31/31.93 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s2, c_invalid)) | (~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s2, c_invalid)) | (~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_invalid))),
% 49.31/31.93 inference(rewrite,[status(thm)],[])).
% 49.31/31.93 tff(5101,plain,
% 49.31/31.93 (((~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_state(c_p1, s3, c_invalid)) <=> ((~m_processor_v_state(c_p1, s2, c_invalid)) | (~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_invalid))),
% 49.31/31.93 inference(rewrite,[status(thm)],[])).
% 49.31/31.93 tff(5102,plain,
% 49.31/31.93 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_state(c_p1, s3, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s2, c_invalid)) | (~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_invalid)))),
% 49.31/31.93 inference(monotonicity,[status(thm)],[5101])).
% 49.31/31.93 tff(5103,plain,
% 49.31/31.93 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_state(c_p1, s3, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s2, c_invalid)) | (~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_invalid))),
% 49.31/31.93 inference(transitivity,[status(thm)],[5102, 5100])).
% 49.31/31.93 tff(5104,plain,
% 49.31/31.93 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_state(c_p1, s3, c_invalid))),
% 49.31/31.93 inference(quant_inst,[status(thm)],[])).
% 49.31/31.93 tff(5105,plain,
% 49.31/31.93 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s2, c_invalid)) | (~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_invalid)),
% 49.31/31.93 inference(modus_ponens,[status(thm)],[5104, 5103])).
% 49.31/31.93 tff(5106,plain,
% 49.31/31.93 ($false),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[5105, 380, 5076, 5091, 5099])).
% 49.31/31.93 tff(5107,plain,((~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_state(c_p1, s3, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.31/31.93 tff(5108,plain,
% 49.31/31.93 (~node32(c_p1, s2, s3)),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[5107, 5091, 5076])).
% 49.31/31.93 tff(5109,assumption,(~node38(c_p1, s2, s3)), introduced(assumption)).
% 49.31/31.93 tff(5110,plain,
% 49.31/31.93 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s2, s3)) | node38(c_p1, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s2, s3)) | node38(c_p1, s2, s3))),
% 49.31/31.93 inference(rewrite,[status(thm)],[])).
% 49.31/31.93 tff(5111,plain,
% 49.31/31.93 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s2, s3)) | node38(c_p1, s2, s3))),
% 49.31/31.93 inference(quant_inst,[status(thm)],[])).
% 49.31/31.93 tff(5112,plain,
% 49.31/31.93 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s2, s3)) | node38(c_p1, s2, s3)),
% 49.31/31.93 inference(modus_ponens,[status(thm)],[5111, 5110])).
% 49.31/31.93 tff(5113,plain,
% 49.31/31.93 ($false),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[5112, 210, 2684, 5109])).
% 49.31/31.93 tff(5114,plain,(node38(c_p1, s2, s3)), inference(lemma,lemma(discharge,[]))).
% 49.31/31.93 tff(5115,plain,
% 49.31/31.93 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s2, s3) | (~m_processor_v_abort(c_p1, s2)) | (~node38(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p1, s2, s3) | (~m_processor_v_abort(c_p1, s2)) | (~node38(c_p1, s2, s3)))),
% 49.31/31.93 inference(rewrite,[status(thm)],[])).
% 49.31/31.93 tff(5116,plain,
% 49.31/31.93 ((node32(c_p1, s2, s3) | (~node38(c_p1, s2, s3)) | (~m_processor_v_abort(c_p1, s2))) <=> (node32(c_p1, s2, s3) | (~m_processor_v_abort(c_p1, s2)) | (~node38(c_p1, s2, s3)))),
% 49.31/31.93 inference(rewrite,[status(thm)],[])).
% 49.31/31.93 tff(5117,plain,
% 49.31/31.93 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s2, s3) | (~node38(c_p1, s2, s3)) | (~m_processor_v_abort(c_p1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s2, s3) | (~m_processor_v_abort(c_p1, s2)) | (~node38(c_p1, s2, s3))))),
% 49.31/31.93 inference(monotonicity,[status(thm)],[5116])).
% 49.31/31.93 tff(5118,plain,
% 49.31/31.93 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s2, s3) | (~node38(c_p1, s2, s3)) | (~m_processor_v_abort(c_p1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p1, s2, s3) | (~m_processor_v_abort(c_p1, s2)) | (~node38(c_p1, s2, s3)))),
% 49.31/31.93 inference(transitivity,[status(thm)],[5117, 5115])).
% 49.31/31.93 tff(5119,plain,
% 49.31/31.93 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s2, s3) | (~node38(c_p1, s2, s3)) | (~m_processor_v_abort(c_p1, s2)))),
% 49.31/31.93 inference(quant_inst,[status(thm)],[])).
% 49.31/31.93 tff(5120,plain,
% 49.31/31.93 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p1, s2, s3) | (~m_processor_v_abort(c_p1, s2)) | (~node38(c_p1, s2, s3))),
% 49.31/31.93 inference(modus_ponens,[status(thm)],[5119, 5118])).
% 49.31/31.93 tff(5121,plain,
% 49.31/31.93 (node32(c_p1, s2, s3) | (~m_processor_v_abort(c_p1, s2))),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[5120, 243, 5114])).
% 49.31/31.93 tff(5122,plain,
% 49.31/31.93 (~m_processor_v_abort(c_p1, s2)),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[5121, 5108])).
% 49.31/31.93 tff(5123,plain,
% 49.31/31.93 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_abort(c_p1, s2) | node36(c_p1, s2) | node37(c_p1, s2, s3) | (~node38(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_abort(c_p1, s2) | node36(c_p1, s2) | node37(c_p1, s2, s3) | (~node38(c_p1, s2, s3)))),
% 49.31/31.93 inference(rewrite,[status(thm)],[])).
% 49.31/31.93 tff(5124,plain,
% 49.31/31.93 ((m_processor_v_state(c_p1, s2, c_shared) | node36(c_p1, s2) | m_processor_v_master(c_p1, s2) | node37(c_p1, s2, s3) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2)) <=> (m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_abort(c_p1, s2) | node36(c_p1, s2) | node37(c_p1, s2, s3) | (~node38(c_p1, s2, s3)))),
% 49.31/31.93 inference(rewrite,[status(thm)],[])).
% 49.31/31.93 tff(5125,plain,
% 49.31/31.93 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s2, c_shared) | node36(c_p1, s2) | m_processor_v_master(c_p1, s2) | node37(c_p1, s2, s3) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_abort(c_p1, s2) | node36(c_p1, s2) | node37(c_p1, s2, s3) | (~node38(c_p1, s2, s3))))),
% 49.31/31.93 inference(monotonicity,[status(thm)],[5124])).
% 49.31/31.93 tff(5126,plain,
% 49.31/31.93 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s2, c_shared) | node36(c_p1, s2) | m_processor_v_master(c_p1, s2) | node37(c_p1, s2, s3) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_abort(c_p1, s2) | node36(c_p1, s2) | node37(c_p1, s2, s3) | (~node38(c_p1, s2, s3)))),
% 49.31/31.93 inference(transitivity,[status(thm)],[5125, 5123])).
% 49.31/31.93 tff(5127,plain,
% 49.31/31.93 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s2, c_shared) | node36(c_p1, s2) | m_processor_v_master(c_p1, s2) | node37(c_p1, s2, s3) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))),
% 49.31/31.93 inference(quant_inst,[status(thm)],[])).
% 49.31/31.93 tff(5128,plain,
% 49.31/31.93 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_abort(c_p1, s2) | node36(c_p1, s2) | node37(c_p1, s2, s3) | (~node38(c_p1, s2, s3))),
% 49.31/31.93 inference(modus_ponens,[status(thm)],[5127, 5126])).
% 49.31/31.93 tff(5129,plain,
% 49.31/31.93 (m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_abort(c_p1, s2) | node36(c_p1, s2) | node37(c_p1, s2, s3)),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[5128, 225, 5114])).
% 49.31/31.93 tff(5130,plain,
% 49.31/31.93 ($false),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[5129, 5122, 5098, 3110, 5090, 5089])).
% 49.31/31.93 tff(5131,plain,(m_processor_v_state(c_p1, s3, c_invalid) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_master(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 49.31/31.93 tff(5132,plain,
% 49.31/31.93 (m_processor_v_master(c_p1, s2)),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[5131, 2621, 5076, 5082])).
% 49.31/31.93 tff(5133,assumption,(~m_main_v_CMD(s2, c_read_h_owned)), introduced(assumption)).
% 49.31/31.93 tff(5134,plain,
% 49.31/31.93 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_state(c_p1, s3, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_state(c_p1, s3, c_shared)))),
% 49.31/31.93 inference(rewrite,[status(thm)],[])).
% 49.31/31.93 tff(5135,plain,
% 49.31/31.93 (((~m_processor_v_state(c_p1, s3, c_shared)) | (~m_processor_v_state(c_p1, s3, c_owned))) <=> ((~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_state(c_p1, s3, c_shared)))),
% 49.31/31.93 inference(rewrite,[status(thm)],[])).
% 49.31/31.93 tff(5136,plain,
% 49.31/31.93 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s3, c_shared)) | (~m_processor_v_state(c_p1, s3, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_state(c_p1, s3, c_shared))))),
% 49.31/31.93 inference(monotonicity,[status(thm)],[5135])).
% 49.31/31.93 tff(5137,plain,
% 49.31/31.93 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s3, c_shared)) | (~m_processor_v_state(c_p1, s3, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_state(c_p1, s3, c_shared)))),
% 49.31/31.93 inference(transitivity,[status(thm)],[5136, 5134])).
% 49.31/31.93 tff(5138,plain,
% 49.31/31.93 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s3, c_shared)) | (~m_processor_v_state(c_p1, s3, c_owned)))),
% 49.31/31.93 inference(quant_inst,[status(thm)],[])).
% 49.31/31.93 tff(5139,plain,
% 49.31/31.93 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_state(c_p1, s3, c_shared))),
% 49.31/31.93 inference(modus_ponens,[status(thm)],[5138, 5137])).
% 49.31/31.93 tff(5140,plain,
% 49.31/31.93 (~m_processor_v_state(c_p1, s3, c_shared)),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[5139, 121, 2595])).
% 49.31/31.93 tff(5141,plain,
% 49.31/31.93 (m_processor_v_master(c_p1, s2)),
% 49.31/31.93 inference(unit_resolution,[status(thm)],[5131, 5076, 5091, 5082])).
% 49.31/31.93 tff(5142,assumption,(m_processor_v_cmd(c_p1, s2, c_idle)), introduced(assumption)).
% 49.31/31.93 tff(5143,plain,
% 49.31/31.93 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_owned)))),
% 49.31/31.94 inference(rewrite,[status(thm)],[])).
% 49.31/31.94 tff(5144,plain,
% 49.31/31.94 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_owned)))),
% 49.31/31.94 inference(quant_inst,[status(thm)],[])).
% 49.31/31.94 tff(5145,plain,
% 49.31/31.94 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_owned))),
% 49.31/31.94 inference(modus_ponens,[status(thm)],[5144, 5143])).
% 49.31/31.94 tff(5146,plain,
% 49.31/31.94 (~m_processor_v_cmd(c_p1, s2, c_read_h_owned)),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5145, 3189, 5142])).
% 49.31/31.94 tff(5147,plain,
% 49.31/31.94 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_shared)))),
% 49.31/31.94 inference(rewrite,[status(thm)],[])).
% 49.31/31.94 tff(5148,plain,
% 49.31/31.94 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_shared)))),
% 49.31/31.94 inference(quant_inst,[status(thm)],[])).
% 49.31/31.94 tff(5149,plain,
% 49.31/31.94 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_shared))),
% 49.31/31.94 inference(modus_ponens,[status(thm)],[5148, 5147])).
% 49.31/31.94 tff(5150,plain,
% 49.31/31.94 (~m_processor_v_cmd(c_p1, s2, c_read_h_shared)),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5149, 3200, 5142])).
% 49.31/31.94 tff(5151,assumption,(m_processor_v_master(c_p1, s2)), introduced(assumption)).
% 49.31/31.94 tff(5152,plain,
% 49.31/31.94 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p1, s2)) | (~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_cmd(c_p1, s2, c_read_h_owned) | m_processor_v_cmd(c_p1, s2, c_read_h_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s2)) | (~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_cmd(c_p1, s2, c_read_h_owned) | m_processor_v_cmd(c_p1, s2, c_read_h_shared))),
% 49.31/31.94 inference(rewrite,[status(thm)],[])).
% 49.31/31.94 tff(5153,plain,
% 49.31/31.94 ((m_processor_v_cmd(c_p1, s2, c_read_h_owned) | m_processor_v_cmd(c_p1, s2, c_read_h_shared) | (~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_master(c_p1, s2))) <=> ((~m_processor_v_master(c_p1, s2)) | (~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_cmd(c_p1, s2, c_read_h_owned) | m_processor_v_cmd(c_p1, s2, c_read_h_shared))),
% 49.31/31.94 inference(rewrite,[status(thm)],[])).
% 49.31/31.94 tff(5154,plain,
% 49.31/31.94 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s2, c_read_h_owned) | m_processor_v_cmd(c_p1, s2, c_read_h_shared) | (~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_master(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p1, s2)) | (~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_cmd(c_p1, s2, c_read_h_owned) | m_processor_v_cmd(c_p1, s2, c_read_h_shared)))),
% 49.31/31.94 inference(monotonicity,[status(thm)],[5153])).
% 49.31/31.94 tff(5155,plain,
% 49.31/31.94 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s2, c_read_h_owned) | m_processor_v_cmd(c_p1, s2, c_read_h_shared) | (~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_master(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s2)) | (~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_cmd(c_p1, s2, c_read_h_owned) | m_processor_v_cmd(c_p1, s2, c_read_h_shared))),
% 49.31/31.94 inference(transitivity,[status(thm)],[5154, 5152])).
% 49.31/31.94 tff(5156,plain,
% 49.31/31.94 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s2, c_read_h_owned) | m_processor_v_cmd(c_p1, s2, c_read_h_shared) | (~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_master(c_p1, s2)))),
% 49.31/31.94 inference(quant_inst,[status(thm)],[])).
% 49.31/31.94 tff(5157,plain,
% 49.31/31.94 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s2)) | (~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_cmd(c_p1, s2, c_read_h_owned) | m_processor_v_cmd(c_p1, s2, c_read_h_shared)),
% 49.31/31.94 inference(modus_ponens,[status(thm)],[5156, 5155])).
% 49.31/31.94 tff(5158,plain,
% 49.31/31.94 (m_processor_v_cmd(c_p1, s2, c_read_h_owned) | m_processor_v_cmd(c_p1, s2, c_read_h_shared)),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5157, 1835, 5076, 5151])).
% 49.31/31.94 tff(5159,plain,
% 49.31/31.94 ($false),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5158, 5150, 5146])).
% 49.31/31.94 tff(5160,plain,((~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_master(c_p1, s2))), inference(lemma,lemma(discharge,[]))).
% 49.31/31.94 tff(5161,plain,
% 49.31/31.94 (~m_processor_v_cmd(c_p1, s2, c_idle)),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5160, 5141, 5076])).
% 49.31/31.94 tff(5162,plain,
% 49.31/31.94 (((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | (m_processor_v_cmd(c_p1, s2, c_idle) | (~node9(s2)))) <=> ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | m_processor_v_cmd(c_p1, s2, c_idle) | (~node9(s2)))),
% 49.31/31.94 inference(rewrite,[status(thm)],[])).
% 49.31/31.94 tff(5163,plain,
% 49.31/31.94 ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | (m_processor_v_cmd(c_p1, s2, c_idle) | (~node9(s2)))),
% 49.31/31.94 inference(quant_inst,[status(thm)],[])).
% 49.31/31.94 tff(5164,plain,
% 49.31/31.94 ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | m_processor_v_cmd(c_p1, s2, c_idle) | (~node9(s2))),
% 49.31/31.94 inference(modus_ponens,[status(thm)],[5163, 5162])).
% 49.31/31.94 tff(5165,plain,
% 49.31/31.94 (~node9(s2)),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5164, 3443, 5161])).
% 49.31/31.94 tff(5166,assumption,(node17(s2)), introduced(assumption)).
% 49.31/31.94 tff(5167,plain,
% 49.31/31.94 (((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p1, s2)) | (~node17(s2)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | (~m_processor_v_master(c_p1, s2)) | (~node17(s2)))),
% 49.31/31.94 inference(rewrite,[status(thm)],[])).
% 49.31/31.94 tff(5168,plain,
% 49.31/31.94 ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p1, s2)) | (~node17(s2)))),
% 49.31/31.94 inference(quant_inst,[status(thm)],[])).
% 49.31/31.94 tff(5169,plain,
% 49.31/31.94 ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | (~m_processor_v_master(c_p1, s2)) | (~node17(s2))),
% 49.31/31.94 inference(modus_ponens,[status(thm)],[5168, 5167])).
% 49.31/31.94 tff(5170,plain,
% 49.31/31.94 ($false),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5169, 3344, 5151, 5166])).
% 49.31/31.94 tff(5171,plain,((~m_processor_v_master(c_p1, s2)) | (~node17(s2))), inference(lemma,lemma(discharge,[]))).
% 49.31/31.94 tff(5172,plain,
% 49.31/31.94 (~node17(s2)),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5171, 5141])).
% 49.31/31.94 tff(5173,assumption,(m_memory_v_master(c_m, s2)), introduced(assumption)).
% 49.31/31.94 tff(5174,assumption,(~node17(s2)), introduced(assumption)).
% 49.31/31.94 tff(5175,plain,
% 49.31/31.94 (((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | (node17(s2) | (~m_memory_v_master(c_m, s2)))) <=> ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | node17(s2) | (~m_memory_v_master(c_m, s2)))),
% 49.31/31.94 inference(rewrite,[status(thm)],[])).
% 49.31/31.94 tff(5176,plain,
% 49.31/31.94 ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | (node17(s2) | (~m_memory_v_master(c_m, s2)))),
% 49.31/31.94 inference(quant_inst,[status(thm)],[])).
% 49.31/31.94 tff(5177,plain,
% 49.31/31.94 ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | node17(s2) | (~m_memory_v_master(c_m, s2))),
% 49.31/31.94 inference(modus_ponens,[status(thm)],[5176, 5175])).
% 49.31/31.94 tff(5178,plain,
% 49.31/31.94 ($false),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5177, 1290, 5174, 5173])).
% 49.31/31.94 tff(5179,plain,((~m_memory_v_master(c_m, s2)) | node17(s2)), inference(lemma,lemma(discharge,[]))).
% 49.31/31.94 tff(5180,plain,
% 49.31/31.94 (~m_memory_v_master(c_m, s2)),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5179, 5172])).
% 49.31/31.94 tff(5181,assumption,(node29(c_m, s2)), introduced(assumption)).
% 49.31/31.94 tff(5182,assumption,(~m_memory_v_master(c_m, s2)), introduced(assumption)).
% 49.31/31.94 tff(5183,plain,
% 49.31/31.94 (((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | (m_memory_v_master(c_m, s2) | (~node29(c_m, s2)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | m_memory_v_master(c_m, s2) | (~node29(c_m, s2)))),
% 49.31/31.94 inference(rewrite,[status(thm)],[])).
% 49.31/31.94 tff(5184,plain,
% 49.31/31.94 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | (m_memory_v_master(c_m, s2) | (~node29(c_m, s2)))),
% 49.31/31.94 inference(quant_inst,[status(thm)],[])).
% 49.31/31.94 tff(5185,plain,
% 49.31/31.94 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | m_memory_v_master(c_m, s2) | (~node29(c_m, s2))),
% 49.31/31.94 inference(modus_ponens,[status(thm)],[5184, 5183])).
% 49.31/31.94 tff(5186,plain,
% 49.31/31.94 ($false),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5185, 1305, 5182, 5181])).
% 49.31/31.94 tff(5187,plain,((~node29(c_m, s2)) | m_memory_v_master(c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 49.31/31.94 tff(5188,plain,
% 49.31/31.94 (~node29(c_m, s2)),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5187, 5180])).
% 49.31/31.94 tff(5189,assumption,(~node29(c_m, s2)), introduced(assumption)).
% 49.31/31.94 tff(5190,assumption,(~m_memory_v_cmd(c_m, s2, c_idle)), introduced(assumption)).
% 49.31/31.94 tff(5191,plain,
% 49.31/31.94 (((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | (node29(c_m, s2) | m_memory_v_cmd(c_m, s2, c_idle))) <=> ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | node29(c_m, s2) | m_memory_v_cmd(c_m, s2, c_idle))),
% 49.31/31.94 inference(rewrite,[status(thm)],[])).
% 49.31/31.94 tff(5192,plain,
% 49.31/31.94 ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | (node29(c_m, s2) | m_memory_v_cmd(c_m, s2, c_idle))),
% 49.31/31.94 inference(quant_inst,[status(thm)],[])).
% 49.31/31.94 tff(5193,plain,
% 49.31/31.94 ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | node29(c_m, s2) | m_memory_v_cmd(c_m, s2, c_idle)),
% 49.31/31.94 inference(modus_ponens,[status(thm)],[5192, 5191])).
% 49.31/31.94 tff(5194,plain,
% 49.31/31.94 ($false),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5193, 1320, 5190, 5189])).
% 49.31/31.94 tff(5195,plain,(m_memory_v_cmd(c_m, s2, c_idle) | node29(c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 49.31/31.94 tff(5196,plain,
% 49.31/31.94 (m_memory_v_cmd(c_m, s2, c_idle)),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5195, 5188])).
% 49.31/31.94 tff(5197,plain,
% 49.31/31.94 (((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | ((~node16(s2)) | (~m_processor_v_master(c_p1, s2)))) <=> ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | (~node16(s2)) | (~m_processor_v_master(c_p1, s2)))),
% 49.31/31.94 inference(rewrite,[status(thm)],[])).
% 49.31/31.94 tff(5198,plain,
% 49.31/31.94 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | ((~node16(s2)) | (~m_processor_v_master(c_p1, s2)))),
% 49.31/31.94 inference(quant_inst,[status(thm)],[])).
% 49.31/31.94 tff(5199,plain,
% 49.31/31.94 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | (~node16(s2)) | (~m_processor_v_master(c_p1, s2))),
% 49.31/31.94 inference(modus_ponens,[status(thm)],[5198, 5197])).
% 49.31/31.94 tff(5200,plain,
% 49.31/31.94 (~node16(s2)),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5199, 3386, 5141])).
% 49.31/31.94 tff(5201,assumption,(m_processor_v_master(c_p2, s2)), introduced(assumption)).
% 49.31/31.94 tff(5202,assumption,(~node16(s2)), introduced(assumption)).
% 49.31/31.94 tff(5203,plain,
% 49.31/31.94 (((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | (node16(s2) | (~m_processor_v_master(c_p2, s2)))) <=> ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | node16(s2) | (~m_processor_v_master(c_p2, s2)))),
% 49.31/31.94 inference(rewrite,[status(thm)],[])).
% 49.31/31.94 tff(5204,plain,
% 49.31/31.94 ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | (node16(s2) | (~m_processor_v_master(c_p2, s2)))),
% 49.31/31.94 inference(quant_inst,[status(thm)],[])).
% 49.31/31.94 tff(5205,plain,
% 49.31/31.94 ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | node16(s2) | (~m_processor_v_master(c_p2, s2))),
% 49.31/31.94 inference(modus_ponens,[status(thm)],[5204, 5203])).
% 49.31/31.94 tff(5206,plain,
% 49.31/31.94 ($false),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5205, 1545, 5202, 5201])).
% 49.31/31.94 tff(5207,plain,((~m_processor_v_master(c_p2, s2)) | node16(s2)), inference(lemma,lemma(discharge,[]))).
% 49.31/31.94 tff(5208,plain,
% 49.31/31.94 (~m_processor_v_master(c_p2, s2)),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5207, 5200])).
% 49.31/31.94 tff(5209,assumption,(~m_processor_v_master(c_p2, s2)), introduced(assumption)).
% 49.31/31.94 tff(5210,assumption,(node64(c_p2, s2)), introduced(assumption)).
% 49.31/31.94 tff(5211,plain,
% 49.31/31.94 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p2, s2) | (~node64(c_p2, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p2, s2) | (~node64(c_p2, s2)))),
% 49.31/31.94 inference(rewrite,[status(thm)],[])).
% 49.31/31.94 tff(5212,plain,
% 49.31/31.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p2, s2) | (~node64(c_p2, s2)))),
% 49.31/31.94 inference(quant_inst,[status(thm)],[])).
% 49.31/31.94 tff(5213,plain,
% 49.31/31.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p2, s2) | (~node64(c_p2, s2))),
% 49.31/31.94 inference(modus_ponens,[status(thm)],[5212, 5211])).
% 49.31/31.94 tff(5214,plain,
% 49.31/31.94 ($false),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5213, 1482, 5210, 5209])).
% 49.31/31.94 tff(5215,plain,((~node64(c_p2, s2)) | m_processor_v_master(c_p2, s2)), inference(lemma,lemma(discharge,[]))).
% 49.31/31.94 tff(5216,plain,
% 49.31/31.94 (~node64(c_p2, s2)),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5215, 5209])).
% 49.31/31.94 tff(5217,assumption,(node65(c_p2, s2)), introduced(assumption)).
% 49.31/31.94 tff(5218,plain,
% 49.31/31.94 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p2, s2) | (~node65(c_p2, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p2, s2) | (~node65(c_p2, s2)))),
% 49.31/31.94 inference(rewrite,[status(thm)],[])).
% 49.31/31.94 tff(5219,plain,
% 49.31/31.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p2, s2) | (~node65(c_p2, s2)))),
% 49.31/31.94 inference(quant_inst,[status(thm)],[])).
% 49.31/31.94 tff(5220,plain,
% 49.31/31.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p2, s2) | (~node65(c_p2, s2))),
% 49.31/31.94 inference(modus_ponens,[status(thm)],[5219, 5218])).
% 49.31/31.94 tff(5221,plain,
% 49.31/31.94 ($false),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5220, 1457, 5217, 5209])).
% 49.31/31.94 tff(5222,plain,((~node65(c_p2, s2)) | m_processor_v_master(c_p2, s2)), inference(lemma,lemma(discharge,[]))).
% 49.31/31.94 tff(5223,plain,
% 49.31/31.94 (~node65(c_p2, s2)),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5222, 5209])).
% 49.31/31.94 tff(5224,assumption,(node62(c_p2, s2)), introduced(assumption)).
% 49.31/31.94 tff(5225,plain,
% 49.31/31.94 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p2, s2) | (~node62(c_p2, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p2, s2) | (~node62(c_p2, s2)))),
% 49.31/31.94 inference(rewrite,[status(thm)],[])).
% 49.31/31.94 tff(5226,plain,
% 49.31/31.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p2, s2) | (~node62(c_p2, s2)))),
% 49.31/31.94 inference(quant_inst,[status(thm)],[])).
% 49.31/31.94 tff(5227,plain,
% 49.31/31.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p2, s2) | (~node62(c_p2, s2))),
% 49.31/31.94 inference(modus_ponens,[status(thm)],[5226, 5225])).
% 49.31/31.94 tff(5228,plain,
% 49.31/31.94 ($false),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5227, 1493, 5224, 5209])).
% 49.31/31.94 tff(5229,plain,((~node62(c_p2, s2)) | m_processor_v_master(c_p2, s2)), inference(lemma,lemma(discharge,[]))).
% 49.31/31.94 tff(5230,plain,
% 49.31/31.94 (~node62(c_p2, s2)),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5229, 5209])).
% 49.31/31.94 tff(5231,assumption,(~m_processor_v_cmd(c_p2, s2, c_idle)), introduced(assumption)).
% 49.31/31.94 tff(5232,assumption,(node66(c_p2, s2)), introduced(assumption)).
% 49.31/31.94 tff(5233,plain,
% 49.31/31.94 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p2, s2) | (~node66(c_p2, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p2, s2) | (~node66(c_p2, s2)))),
% 49.31/31.94 inference(rewrite,[status(thm)],[])).
% 49.31/31.94 tff(5234,plain,
% 49.31/31.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p2, s2) | (~node66(c_p2, s2)))),
% 49.31/31.94 inference(quant_inst,[status(thm)],[])).
% 49.31/31.94 tff(5235,plain,
% 49.31/31.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p2, s2) | (~node66(c_p2, s2))),
% 49.31/31.94 inference(modus_ponens,[status(thm)],[5234, 5233])).
% 49.31/31.94 tff(5236,plain,
% 49.31/31.94 ($false),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5235, 1446, 5209, 5232])).
% 49.31/31.94 tff(5237,plain,((~node66(c_p2, s2)) | m_processor_v_master(c_p2, s2)), inference(lemma,lemma(discharge,[]))).
% 49.31/31.94 tff(5238,plain,
% 49.31/31.94 (~node66(c_p2, s2)),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5237, 5209])).
% 49.31/31.94 tff(5239,assumption,(node63(c_p2, s2)), introduced(assumption)).
% 49.31/31.94 tff(5240,plain,
% 49.31/31.94 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p2, s2) | (~node63(c_p2, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p2, s2) | (~node63(c_p2, s2)))),
% 49.31/31.94 inference(rewrite,[status(thm)],[])).
% 49.31/31.94 tff(5241,plain,
% 49.31/31.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p2, s2) | (~node63(c_p2, s2)))),
% 49.31/31.94 inference(quant_inst,[status(thm)],[])).
% 49.31/31.94 tff(5242,plain,
% 49.31/31.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p2, s2) | (~node63(c_p2, s2))),
% 49.31/31.94 inference(modus_ponens,[status(thm)],[5241, 5240])).
% 49.31/31.94 tff(5243,plain,
% 49.31/31.94 ($false),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5242, 1469, 5239, 5209])).
% 49.31/31.94 tff(5244,plain,((~node63(c_p2, s2)) | m_processor_v_master(c_p2, s2)), inference(lemma,lemma(discharge,[]))).
% 49.31/31.94 tff(5245,plain,
% 49.31/31.94 (~node63(c_p2, s2)),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5244, 5209])).
% 49.31/31.94 tff(5246,assumption,(~node66(c_p2, s2)), introduced(assumption)).
% 49.31/31.94 tff(5247,assumption,(~node65(c_p2, s2)), introduced(assumption)).
% 49.31/31.94 tff(5248,assumption,(~node62(c_p2, s2)), introduced(assumption)).
% 49.31/31.94 tff(5249,assumption,(~node63(c_p2, s2)), introduced(assumption)).
% 49.31/31.94 tff(5250,assumption,(~node64(c_p2, s2)), introduced(assumption)).
% 49.31/31.94 tff(5251,plain,
% 49.31/31.94 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s2, c_idle) | node64(c_p2, s2) | node66(c_p2, s2) | node65(c_p2, s2) | node63(c_p2, s2) | node62(c_p2, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | m_processor_v_cmd(c_p2, s2, c_idle) | node64(c_p2, s2) | node66(c_p2, s2) | node65(c_p2, s2) | node63(c_p2, s2) | node62(c_p2, s2))),
% 49.31/31.94 inference(rewrite,[status(thm)],[])).
% 49.31/31.94 tff(5252,plain,
% 49.31/31.94 ((m_processor_v_cmd(c_p2, s2, c_idle) | node62(c_p2, s2) | node63(c_p2, s2) | node64(c_p2, s2) | node65(c_p2, s2) | node66(c_p2, s2)) <=> (m_processor_v_cmd(c_p2, s2, c_idle) | node64(c_p2, s2) | node66(c_p2, s2) | node65(c_p2, s2) | node63(c_p2, s2) | node62(c_p2, s2))),
% 49.31/31.94 inference(rewrite,[status(thm)],[])).
% 49.31/31.94 tff(5253,plain,
% 49.31/31.94 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s2, c_idle) | node62(c_p2, s2) | node63(c_p2, s2) | node64(c_p2, s2) | node65(c_p2, s2) | node66(c_p2, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s2, c_idle) | node64(c_p2, s2) | node66(c_p2, s2) | node65(c_p2, s2) | node63(c_p2, s2) | node62(c_p2, s2)))),
% 49.31/31.94 inference(monotonicity,[status(thm)],[5252])).
% 49.31/31.94 tff(5254,plain,
% 49.31/31.94 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s2, c_idle) | node62(c_p2, s2) | node63(c_p2, s2) | node64(c_p2, s2) | node65(c_p2, s2) | node66(c_p2, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | m_processor_v_cmd(c_p2, s2, c_idle) | node64(c_p2, s2) | node66(c_p2, s2) | node65(c_p2, s2) | node63(c_p2, s2) | node62(c_p2, s2))),
% 49.31/31.94 inference(transitivity,[status(thm)],[5253, 5251])).
% 49.31/31.94 tff(5255,plain,
% 49.31/31.94 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s2, c_idle) | node62(c_p2, s2) | node63(c_p2, s2) | node64(c_p2, s2) | node65(c_p2, s2) | node66(c_p2, s2))),
% 49.31/31.94 inference(quant_inst,[status(thm)],[])).
% 49.31/31.94 tff(5256,plain,
% 49.31/31.94 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | m_processor_v_cmd(c_p2, s2, c_idle) | node64(c_p2, s2) | node66(c_p2, s2) | node65(c_p2, s2) | node63(c_p2, s2) | node62(c_p2, s2)),
% 49.31/31.94 inference(modus_ponens,[status(thm)],[5255, 5254])).
% 49.31/31.94 tff(5257,plain,
% 49.31/31.94 ($false),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5256, 1508, 5250, 5249, 5248, 5247, 5246, 5231])).
% 49.31/31.94 tff(5258,plain,(m_processor_v_cmd(c_p2, s2, c_idle) | node64(c_p2, s2) | node63(c_p2, s2) | node62(c_p2, s2) | node65(c_p2, s2) | node66(c_p2, s2)), inference(lemma,lemma(discharge,[]))).
% 49.31/31.94 tff(5259,plain,
% 49.31/31.94 ($false),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5258, 5245, 5238, 5231, 5230, 5223, 5216])).
% 49.31/31.94 tff(5260,plain,(m_processor_v_master(c_p2, s2) | m_processor_v_cmd(c_p2, s2, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.31/31.94 tff(5261,plain,
% 49.31/31.94 (m_processor_v_cmd(c_p2, s2, c_idle)),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5260, 5208])).
% 49.31/31.94 tff(5262,assumption,(~node34(c_p1, s2, s3)), introduced(assumption)).
% 49.31/31.94 tff(5263,plain,
% 49.31/31.94 (~node32(c_p1, s2, s3)),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5107, 5076, 5091])).
% 49.31/31.94 tff(5264,plain,
% 49.31/31.94 (~m_processor_v_abort(c_p1, s2)),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5121, 5263])).
% 49.31/31.94 tff(5265,plain,
% 49.31/31.94 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node34(c_p1, s2, s3) | (~node38(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node34(c_p1, s2, s3) | (~node38(c_p1, s2, s3)))),
% 49.31/31.94 inference(rewrite,[status(thm)],[])).
% 49.31/31.94 tff(5266,plain,
% 49.31/31.94 ((node34(c_p1, s2, s3) | (~m_processor_v_master(c_p1, s2)) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2)) <=> ((~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node34(c_p1, s2, s3) | (~node38(c_p1, s2, s3)))),
% 49.31/31.94 inference(rewrite,[status(thm)],[])).
% 49.31/31.94 tff(5267,plain,
% 49.31/31.94 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s2, s3) | (~m_processor_v_master(c_p1, s2)) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node34(c_p1, s2, s3) | (~node38(c_p1, s2, s3))))),
% 49.31/31.94 inference(monotonicity,[status(thm)],[5266])).
% 49.31/31.94 tff(5268,plain,
% 49.31/31.94 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s2, s3) | (~m_processor_v_master(c_p1, s2)) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node34(c_p1, s2, s3) | (~node38(c_p1, s2, s3)))),
% 49.31/31.94 inference(transitivity,[status(thm)],[5267, 5265])).
% 49.31/31.94 tff(5269,plain,
% 49.31/31.94 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s2, s3) | (~m_processor_v_master(c_p1, s2)) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))),
% 49.31/31.94 inference(quant_inst,[status(thm)],[])).
% 49.31/31.94 tff(5270,plain,
% 49.31/31.94 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node34(c_p1, s2, s3) | (~node38(c_p1, s2, s3))),
% 49.31/31.94 inference(modus_ponens,[status(thm)],[5269, 5268])).
% 49.31/31.94 tff(5271,plain,
% 49.31/31.94 ((~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node34(c_p1, s2, s3)),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5270, 283, 5114])).
% 49.31/31.94 tff(5272,plain,
% 49.31/31.94 (~m_processor_v_master(c_p1, s2)),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5271, 5264, 5262])).
% 49.31/31.94 tff(5273,plain,
% 49.31/31.94 (node37(c_p1, s2, s3)),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5129, 5264, 3110, 5089, 5272])).
% 49.31/31.94 tff(5274,plain,
% 49.31/31.94 ($false),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5095, 2411, 5076, 5273, 5091])).
% 49.31/31.94 tff(5275,plain,((~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_state(c_p1, s3, c_invalid) | m_processor_v_state(c_p1, s2, c_shared) | node34(c_p1, s2, s3)), inference(lemma,lemma(discharge,[]))).
% 49.31/31.94 tff(5276,plain,
% 49.31/31.94 (node34(c_p1, s2, s3)),
% 49.31/31.94 inference(unit_resolution,[status(thm)],[5275, 5076, 5082, 5091])).
% 49.31/31.94 tff(5277,assumption,(~m_processor_v_state(c_p1, s3, c_shared)), introduced(assumption)).
% 49.31/31.94 tff(5278,plain,
% 49.31/31.94 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p1, s3, c_shared) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | (~node34(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p1, s3, c_shared) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | (~node34(c_p1, s2, s3)))),
% 49.31/31.94 inference(rewrite,[status(thm)],[])).
% 49.31/31.94 tff(5279,plain,
% 49.31/31.94 (((~node34(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_shared) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared))) <=> (m_processor_v_state(c_p1, s3, c_shared) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | (~node34(c_p1, s2, s3)))),
% 49.31/31.95 inference(rewrite,[status(thm)],[])).
% 49.31/31.95 tff(5280,plain,
% 49.31/31.95 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_shared) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p1, s3, c_shared) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | (~node34(c_p1, s2, s3))))),
% 49.31/31.95 inference(monotonicity,[status(thm)],[5279])).
% 49.31/31.95 tff(5281,plain,
% 49.31/31.95 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_shared) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p1, s3, c_shared) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | (~node34(c_p1, s2, s3)))),
% 49.31/31.95 inference(transitivity,[status(thm)],[5280, 5278])).
% 49.31/31.95 tff(5282,plain,
% 49.31/31.95 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_shared) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)))),
% 49.31/31.95 inference(quant_inst,[status(thm)],[])).
% 49.31/31.95 tff(5283,plain,
% 49.31/31.95 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p1, s3, c_shared) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | (~node34(c_p1, s2, s3))),
% 49.31/31.95 inference(modus_ponens,[status(thm)],[5282, 5281])).
% 49.31/31.95 tff(5284,plain,
% 49.31/31.95 (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 49.31/31.95 inference(unit_resolution,[status(thm)],[5283, 416, 5277, 5276])).
% 49.31/31.95 tff(5285,assumption,(~m_processor_v_CMD(c_p1, s2, c_read_h_shared)), introduced(assumption)).
% 49.31/31.95 tff(5286,assumption,(m_main_v_CMD(s2, c_read_h_shared)), introduced(assumption)).
% 49.31/31.95 tff(5287,assumption,(~node3(s2)), introduced(assumption)).
% 49.31/31.95 tff(5288,plain,
% 49.31/31.95 ((~![X: $i] : node3(X)) | node3(s2)),
% 49.31/31.95 inference(quant_inst,[status(thm)],[])).
% 49.31/31.95 tff(5289,plain,
% 49.31/31.95 ($false),
% 49.31/31.95 inference(unit_resolution,[status(thm)],[5288, 1247, 5287])).
% 49.31/31.95 tff(5290,plain,(node3(s2)), inference(lemma,lemma(discharge,[]))).
% 49.31/31.95 tff(5291,plain,
% 49.31/31.95 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~node3(s2)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~node3(s2)))),
% 49.31/31.95 inference(rewrite,[status(thm)],[])).
% 49.31/31.95 tff(5292,plain,
% 49.31/31.95 (((~m_main_v_CMD(s2, c_read_h_shared)) | (~node3(s2)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared)) <=> (m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~node3(s2)))),
% 49.31/31.95 inference(rewrite,[status(thm)],[])).
% 49.31/31.95 tff(5293,plain,
% 49.31/31.95 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | (~node3(s2)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~node3(s2))))),
% 49.31/31.95 inference(monotonicity,[status(thm)],[5292])).
% 49.31/31.95 tff(5294,plain,
% 49.31/31.95 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | (~node3(s2)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~node3(s2)))),
% 49.31/31.95 inference(transitivity,[status(thm)],[5293, 5291])).
% 49.31/31.95 tff(5295,plain,
% 49.31/31.95 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | (~node3(s2)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared))),
% 49.31/31.95 inference(quant_inst,[status(thm)],[])).
% 49.31/31.95 tff(5296,plain,
% 49.31/31.95 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~node3(s2))),
% 49.31/31.95 inference(modus_ponens,[status(thm)],[5295, 5294])).
% 49.31/31.95 tff(5297,plain,
% 49.31/31.95 ($false),
% 49.31/31.95 inference(unit_resolution,[status(thm)],[5296, 1945, 5290, 5286, 5285])).
% 49.31/31.95 tff(5298,plain,((~m_main_v_CMD(s2, c_read_h_shared)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.31/31.95 tff(5299,plain,
% 49.31/31.95 (~m_main_v_CMD(s2, c_read_h_shared)),
% 49.31/31.95 inference(unit_resolution,[status(thm)],[5298, 5284])).
% 49.31/31.95 tff(5300,assumption,(node10(s2)), introduced(assumption)).
% 49.31/31.95 tff(5301,assumption,(~m_main_v_CMD(s2, c_read_h_shared)), introduced(assumption)).
% 49.31/31.95 tff(5302,plain,
% 49.31/31.95 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_shared)) | m_main_v_CMD(s2, c_read_h_shared))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_shared)) | m_main_v_CMD(s2, c_read_h_shared))),
% 49.31/31.95 inference(rewrite,[status(thm)],[])).
% 49.31/31.95 tff(5303,plain,
% 49.31/31.95 ((m_main_v_CMD(s2, c_read_h_shared) | (~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_shared))) <=> ((~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_shared)) | m_main_v_CMD(s2, c_read_h_shared))),
% 49.31/31.95 inference(rewrite,[status(thm)],[])).
% 49.31/31.95 tff(5304,plain,
% 49.31/31.95 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s2, c_read_h_shared) | (~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_shared)) | m_main_v_CMD(s2, c_read_h_shared)))),
% 49.31/31.95 inference(monotonicity,[status(thm)],[5303])).
% 49.31/31.95 tff(5305,plain,
% 49.31/31.95 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s2, c_read_h_shared) | (~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_shared)) | m_main_v_CMD(s2, c_read_h_shared))),
% 49.31/31.95 inference(transitivity,[status(thm)],[5304, 5302])).
% 49.31/31.95 tff(5306,plain,
% 49.31/31.95 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s2, c_read_h_shared) | (~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_shared)))),
% 49.31/31.95 inference(quant_inst,[status(thm)],[])).
% 49.31/31.95 tff(5307,plain,
% 49.31/31.95 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_shared)) | m_main_v_CMD(s2, c_read_h_shared)),
% 49.31/31.95 inference(modus_ponens,[status(thm)],[5306, 5305])).
% 49.31/31.95 tff(5308,plain,
% 49.31/31.95 ((~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_shared))),
% 49.31/31.95 inference(unit_resolution,[status(thm)],[5307, 3481, 5301])).
% 49.31/31.95 tff(5309,plain,
% 49.31/31.95 (~m_processor_v_cmd(c_p1, s2, c_read_h_shared)),
% 49.31/31.95 inference(unit_resolution,[status(thm)],[5308, 5300])).
% 49.31/31.95 tff(5310,plain,
% 49.31/31.95 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_owned)) | m_main_v_CMD(s2, c_read_h_owned))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_owned)) | m_main_v_CMD(s2, c_read_h_owned))),
% 49.31/31.95 inference(rewrite,[status(thm)],[])).
% 49.31/31.95 tff(5311,plain,
% 49.31/31.95 ((m_main_v_CMD(s2, c_read_h_owned) | (~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_owned))) <=> ((~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_owned)) | m_main_v_CMD(s2, c_read_h_owned))),
% 49.31/31.95 inference(rewrite,[status(thm)],[])).
% 49.31/31.95 tff(5312,plain,
% 49.31/31.95 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s2, c_read_h_owned) | (~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_owned)) | m_main_v_CMD(s2, c_read_h_owned)))),
% 49.31/31.95 inference(monotonicity,[status(thm)],[5311])).
% 49.31/31.95 tff(5313,plain,
% 49.31/31.95 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s2, c_read_h_owned) | (~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_owned)) | m_main_v_CMD(s2, c_read_h_owned))),
% 49.31/31.95 inference(transitivity,[status(thm)],[5312, 5310])).
% 49.31/31.95 tff(5314,plain,
% 49.31/31.95 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s2, c_read_h_owned) | (~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_owned)))),
% 49.31/31.95 inference(quant_inst,[status(thm)],[])).
% 49.31/31.95 tff(5315,plain,
% 49.31/31.95 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_owned)) | m_main_v_CMD(s2, c_read_h_owned)),
% 49.31/31.95 inference(modus_ponens,[status(thm)],[5314, 5313])).
% 49.31/31.95 tff(5316,plain,
% 49.31/31.95 ((~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_read_h_owned))),
% 49.31/31.95 inference(unit_resolution,[status(thm)],[5315, 3481, 5133])).
% 49.31/31.95 tff(5317,plain,
% 49.31/31.95 (~m_processor_v_cmd(c_p1, s2, c_read_h_owned)),
% 49.31/31.95 inference(unit_resolution,[status(thm)],[5316, 5300])).
% 49.31/31.95 tff(5318,plain,
% 49.31/31.95 ((~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_cmd(c_p1, s2, c_read_h_owned) | m_processor_v_cmd(c_p1, s2, c_read_h_shared)),
% 49.31/31.95 inference(unit_resolution,[status(thm)],[5157, 1835, 5151])).
% 49.31/31.95 tff(5319,plain,
% 49.31/31.95 ($false),
% 49.31/31.95 inference(unit_resolution,[status(thm)],[5318, 5317, 5309, 5076])).
% 49.31/31.95 tff(5320,plain,((~node10(s2)) | (~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_master(c_p1, s2)) | m_main_v_CMD(s2, c_read_h_owned) | m_main_v_CMD(s2, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.31/31.95 tff(5321,plain,
% 49.31/31.95 (~node10(s2)),
% 49.31/31.95 inference(unit_resolution,[status(thm)],[5320, 5299, 5133, 5141, 5076])).
% 49.31/31.95 tff(5322,assumption,(m_processor_v_cmd(c_p0, s2, c_idle)), introduced(assumption)).
% 49.31/31.95 tff(5323,plain,
% 49.31/31.95 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | ((~m_processor_v_cmd(c_p0, s2, c_idle)) | node9(s2) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_memory_v_cmd(c_m, s2, c_idle)) | node10(s2))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s2, c_idle)) | node9(s2) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_memory_v_cmd(c_m, s2, c_idle)) | node10(s2))),
% 49.31/31.95 inference(rewrite,[status(thm)],[])).
% 49.31/31.95 tff(5324,plain,
% 49.31/31.95 ((node9(s2) | node10(s2) | (~m_memory_v_cmd(c_m, s2, c_idle)) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p0, s2, c_idle))) <=> ((~m_processor_v_cmd(c_p0, s2, c_idle)) | node9(s2) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_memory_v_cmd(c_m, s2, c_idle)) | node10(s2))),
% 49.31/31.95 inference(rewrite,[status(thm)],[])).
% 49.31/31.95 tff(5325,plain,
% 49.31/31.95 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s2) | node10(s2) | (~m_memory_v_cmd(c_m, s2, c_idle)) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p0, s2, c_idle)))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | ((~m_processor_v_cmd(c_p0, s2, c_idle)) | node9(s2) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_memory_v_cmd(c_m, s2, c_idle)) | node10(s2)))),
% 49.31/31.95 inference(monotonicity,[status(thm)],[5324])).
% 49.31/31.95 tff(5326,plain,
% 49.31/31.95 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s2) | node10(s2) | (~m_memory_v_cmd(c_m, s2, c_idle)) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p0, s2, c_idle)))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s2, c_idle)) | node9(s2) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_memory_v_cmd(c_m, s2, c_idle)) | node10(s2))),
% 49.31/31.95 inference(transitivity,[status(thm)],[5325, 5323])).
% 49.31/31.95 tff(5327,plain,
% 49.31/31.95 ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s2) | node10(s2) | (~m_memory_v_cmd(c_m, s2, c_idle)) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p0, s2, c_idle)))),
% 49.31/31.95 inference(quant_inst,[status(thm)],[])).
% 49.31/31.95 tff(5328,plain,
% 49.31/31.95 ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s2, c_idle)) | node9(s2) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_memory_v_cmd(c_m, s2, c_idle)) | node10(s2)),
% 49.31/31.95 inference(modus_ponens,[status(thm)],[5327, 5326])).
% 49.31/31.95 tff(5329,plain,
% 49.31/31.95 (node9(s2) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_memory_v_cmd(c_m, s2, c_idle)) | node10(s2)),
% 49.31/31.95 inference(unit_resolution,[status(thm)],[5328, 3461, 5322])).
% 49.31/31.95 tff(5330,plain,
% 49.31/31.95 ($false),
% 49.31/31.95 inference(unit_resolution,[status(thm)],[5329, 5321, 5261, 5196, 5165])).
% 49.31/31.95 tff(5331,plain,((~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_cmd(c_p0, s2, c_idle)) | m_main_v_CMD(s2, c_read_h_owned) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.31/31.95 tff(5332,plain,
% 49.31/31.95 (~m_processor_v_cmd(c_p0, s2, c_idle)),
% 49.31/31.95 inference(unit_resolution,[status(thm)],[5331, 2621, 5076, 5140, 5133])).
% 49.31/31.95 tff(5333,assumption,(~m_processor_v_cmd(c_p0, s2, c_idle)), introduced(assumption)).
% 49.31/31.95 tff(5334,plain,
% 49.31/31.95 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p0, s2) | (~node63(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p0, s2) | (~node63(c_p0, s2)))),
% 49.31/31.95 inference(rewrite,[status(thm)],[])).
% 49.31/31.95 tff(5335,plain,
% 49.31/31.95 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p0, s2) | (~node63(c_p0, s2)))),
% 49.31/31.95 inference(quant_inst,[status(thm)],[])).
% 49.31/31.95 tff(5336,plain,
% 49.31/31.95 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p0, s2) | (~node63(c_p0, s2))),
% 49.31/31.95 inference(modus_ponens,[status(thm)],[5335, 5334])).
% 49.31/31.95 tff(5337,plain,
% 49.31/31.95 (~node63(c_p0, s2)),
% 49.31/31.95 inference(unit_resolution,[status(thm)],[5336, 1469, 2622])).
% 49.31/31.95 tff(5338,plain,
% 49.31/31.95 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p0, s2) | (~node62(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p0, s2) | (~node62(c_p0, s2)))),
% 49.31/31.95 inference(rewrite,[status(thm)],[])).
% 49.31/31.95 tff(5339,plain,
% 49.31/31.95 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p0, s2) | (~node62(c_p0, s2)))),
% 49.31/31.95 inference(quant_inst,[status(thm)],[])).
% 49.31/31.95 tff(5340,plain,
% 49.31/31.95 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p0, s2) | (~node62(c_p0, s2))),
% 49.31/31.95 inference(modus_ponens,[status(thm)],[5339, 5338])).
% 49.31/31.95 tff(5341,plain,
% 49.31/31.95 (~node62(c_p0, s2)),
% 49.31/31.95 inference(unit_resolution,[status(thm)],[5340, 1493, 2622])).
% 49.31/31.95 tff(5342,plain,
% 49.31/31.95 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p0, s2) | (~node66(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p0, s2) | (~node66(c_p0, s2)))),
% 49.31/31.95 inference(rewrite,[status(thm)],[])).
% 49.31/31.95 tff(5343,plain,
% 49.31/31.95 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p0, s2) | (~node66(c_p0, s2)))),
% 49.31/31.95 inference(quant_inst,[status(thm)],[])).
% 49.31/31.95 tff(5344,plain,
% 49.31/31.95 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p0, s2) | (~node66(c_p0, s2))),
% 49.31/31.95 inference(modus_ponens,[status(thm)],[5343, 5342])).
% 49.31/31.95 tff(5345,plain,
% 49.31/31.95 (~node66(c_p0, s2)),
% 49.31/31.95 inference(unit_resolution,[status(thm)],[5344, 1446, 2622])).
% 49.31/31.95 tff(5346,assumption,(~node62(c_p0, s2)), introduced(assumption)).
% 49.31/31.95 tff(5347,plain,
% 49.31/31.95 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p0, s2) | (~node65(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p0, s2) | (~node65(c_p0, s2)))),
% 49.31/31.95 inference(rewrite,[status(thm)],[])).
% 49.31/31.95 tff(5348,plain,
% 49.31/31.95 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p0, s2) | (~node65(c_p0, s2)))),
% 49.31/31.95 inference(quant_inst,[status(thm)],[])).
% 49.31/31.95 tff(5349,plain,
% 49.31/31.95 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p0, s2) | (~node65(c_p0, s2))),
% 49.31/31.95 inference(modus_ponens,[status(thm)],[5348, 5347])).
% 49.31/31.95 tff(5350,plain,
% 49.31/31.95 (~node65(c_p0, s2)),
% 49.31/31.95 inference(unit_resolution,[status(thm)],[5349, 1457, 2622])).
% 49.31/31.95 tff(5351,plain,
% 49.31/31.95 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p0, s2) | (~node64(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p0, s2) | (~node64(c_p0, s2)))),
% 49.31/31.95 inference(rewrite,[status(thm)],[])).
% 49.31/31.95 tff(5352,plain,
% 49.31/31.95 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p0, s2) | (~node64(c_p0, s2)))),
% 49.31/31.95 inference(quant_inst,[status(thm)],[])).
% 49.31/31.95 tff(5353,plain,
% 49.31/31.95 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p0, s2) | (~node64(c_p0, s2))),
% 49.31/31.95 inference(modus_ponens,[status(thm)],[5352, 5351])).
% 49.31/31.95 tff(5354,plain,
% 49.31/31.95 (~node64(c_p0, s2)),
% 49.31/31.95 inference(unit_resolution,[status(thm)],[5353, 1482, 2622])).
% 49.31/31.95 tff(5355,assumption,(~node63(c_p0, s2)), introduced(assumption)).
% 49.31/31.95 tff(5356,plain,
% 49.31/31.95 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node62(c_p0, s2) | node64(c_p0, s2) | node65(c_p0, s2) | node63(c_p0, s2) | m_processor_v_cmd(c_p0, s2, c_idle) | node66(c_p0, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p0, s2) | node64(c_p0, s2) | node65(c_p0, s2) | node63(c_p0, s2) | m_processor_v_cmd(c_p0, s2, c_idle) | node66(c_p0, s2))),
% 49.31/31.95 inference(rewrite,[status(thm)],[])).
% 49.31/31.95 tff(5357,plain,
% 49.31/31.95 ((m_processor_v_cmd(c_p0, s2, c_idle) | node62(c_p0, s2) | node63(c_p0, s2) | node64(c_p0, s2) | node65(c_p0, s2) | node66(c_p0, s2)) <=> (node62(c_p0, s2) | node64(c_p0, s2) | node65(c_p0, s2) | node63(c_p0, s2) | m_processor_v_cmd(c_p0, s2, c_idle) | node66(c_p0, s2))),
% 49.31/31.95 inference(rewrite,[status(thm)],[])).
% 49.31/31.95 tff(5358,plain,
% 49.31/31.95 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s2, c_idle) | node62(c_p0, s2) | node63(c_p0, s2) | node64(c_p0, s2) | node65(c_p0, s2) | node66(c_p0, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node62(c_p0, s2) | node64(c_p0, s2) | node65(c_p0, s2) | node63(c_p0, s2) | m_processor_v_cmd(c_p0, s2, c_idle) | node66(c_p0, s2)))),
% 49.31/31.95 inference(monotonicity,[status(thm)],[5357])).
% 49.31/31.95 tff(5359,plain,
% 49.31/31.95 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s2, c_idle) | node62(c_p0, s2) | node63(c_p0, s2) | node64(c_p0, s2) | node65(c_p0, s2) | node66(c_p0, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p0, s2) | node64(c_p0, s2) | node65(c_p0, s2) | node63(c_p0, s2) | m_processor_v_cmd(c_p0, s2, c_idle) | node66(c_p0, s2))),
% 49.31/31.95 inference(transitivity,[status(thm)],[5358, 5356])).
% 49.31/31.95 tff(5360,plain,
% 49.31/31.95 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s2, c_idle) | node62(c_p0, s2) | node63(c_p0, s2) | node64(c_p0, s2) | node65(c_p0, s2) | node66(c_p0, s2))),
% 49.31/31.95 inference(quant_inst,[status(thm)],[])).
% 49.31/31.95 tff(5361,plain,
% 49.31/31.95 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p0, s2) | node64(c_p0, s2) | node65(c_p0, s2) | node63(c_p0, s2) | m_processor_v_cmd(c_p0, s2, c_idle) | node66(c_p0, s2)),
% 49.31/31.95 inference(modus_ponens,[status(thm)],[5360, 5359])).
% 49.31/31.95 tff(5362,plain,
% 49.31/31.95 (node62(c_p0, s2) | node64(c_p0, s2) | node65(c_p0, s2) | node66(c_p0, s2)),
% 49.31/31.95 inference(unit_resolution,[status(thm)],[5361, 1508, 5333, 5355])).
% 49.31/31.95 tff(5363,plain,
% 49.31/31.95 ($false),
% 49.31/31.95 inference(unit_resolution,[status(thm)],[5362, 5354, 5350, 5346, 5345])).
% 49.31/31.95 tff(5364,plain,(m_processor_v_master(c_p0, s2) | node62(c_p0, s2) | m_processor_v_cmd(c_p0, s2, c_idle) | node63(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 49.31/31.95 tff(5365,plain,
% 49.31/31.95 ($false),
% 49.31/31.95 inference(unit_resolution,[status(thm)],[5364, 5341, 5337, 5333, 2622])).
% 49.31/31.95 tff(5366,plain,(m_processor_v_master(c_p0, s2) | m_processor_v_cmd(c_p0, s2, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.31/31.95 tff(5367,plain,
% 49.31/31.95 (m_processor_v_master(c_p0, s2)),
% 49.31/31.95 inference(unit_resolution,[status(thm)],[5366, 5332])).
% 49.31/31.95 tff(5368,plain,
% 49.31/31.95 (((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | ((~m_processor_v_master(c_p0, s2)) | (~m_processor_v_master(c_p1, s2)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | (~m_processor_v_master(c_p0, s2)) | (~m_processor_v_master(c_p1, s2)))),
% 49.31/31.95 inference(rewrite,[status(thm)],[])).
% 49.31/31.95 tff(5369,plain,
% 49.31/31.95 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | ((~m_processor_v_master(c_p0, s2)) | (~m_processor_v_master(c_p1, s2)))),
% 49.31/31.95 inference(quant_inst,[status(thm)],[])).
% 49.31/31.95 tff(5370,plain,
% 49.31/31.95 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | (~m_processor_v_master(c_p0, s2)) | (~m_processor_v_master(c_p1, s2))),
% 49.31/31.95 inference(modus_ponens,[status(thm)],[5369, 5368])).
% 49.31/31.95 tff(5371,plain,
% 49.31/31.95 ($false),
% 49.31/31.95 inference(unit_resolution,[status(thm)],[5370, 794, 5367, 5132])).
% 49.31/31.95 tff(5372,plain,((~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_state(c_p1, s2, c_invalid)) | m_main_v_CMD(s2, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.31/31.95 tff(5373,plain,
% 49.31/31.95 (m_main_v_CMD(s2, c_read_h_owned)),
% 49.31/31.95 inference(unit_resolution,[status(thm)],[5372, 5076, 2595])).
% 49.31/31.95 tff(5374,assumption,(~node47(c_p1, s2)), introduced(assumption)).
% 49.31/31.95 tff(5375,assumption,(~m_processor_v_waiting(c_p1, s3)), introduced(assumption)).
% 49.31/31.95 tff(5376,assumption,(m_processor_v_CMD(c_p1, s2, c_read_h_owned)), introduced(assumption)).
% 49.31/31.96 tff(5377,plain,
% 49.31/31.96 (m_processor_v_master(c_p1, s2)),
% 49.31/31.96 inference(unit_resolution,[status(thm)],[5131, 5082, 5091, 5076])).
% 49.31/31.96 tff(5378,plain,
% 49.31/31.96 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s2, s3)) | node53(c_p1, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s2, s3)) | node53(c_p1, s2, s3))),
% 49.31/31.96 inference(rewrite,[status(thm)],[])).
% 49.31/31.96 tff(5379,plain,
% 49.31/31.96 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s2, s3)) | node53(c_p1, s2, s3))),
% 49.31/31.96 inference(quant_inst,[status(thm)],[])).
% 49.31/31.96 tff(5380,plain,
% 49.31/31.96 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s2, s3)) | node53(c_p1, s2, s3)),
% 49.31/31.96 inference(modus_ponens,[status(thm)],[5379, 5378])).
% 49.31/31.96 tff(5381,plain,
% 49.31/31.96 (node53(c_p1, s2, s3)),
% 49.31/31.96 inference(unit_resolution,[status(thm)],[5380, 575, 2684])).
% 49.31/31.96 tff(5382,plain,
% 49.31/31.96 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node47(c_p1, s2) | m_processor_v_waiting(c_p1, s3) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~node53(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node47(c_p1, s2) | m_processor_v_waiting(c_p1, s3) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~node53(c_p1, s2, s3)))),
% 49.31/31.96 inference(rewrite,[status(thm)],[])).
% 49.31/31.96 tff(5383,plain,
% 49.31/31.96 ((m_processor_v_waiting(c_p1, s3) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node47(c_p1, s2) | (~node53(c_p1, s2, s3))) <=> ((~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node47(c_p1, s2) | m_processor_v_waiting(c_p1, s3) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~node53(c_p1, s2, s3)))),
% 49.31/31.96 inference(rewrite,[status(thm)],[])).
% 49.31/31.96 tff(5384,plain,
% 49.31/31.96 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s3) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node47(c_p1, s2) | (~node53(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node47(c_p1, s2) | m_processor_v_waiting(c_p1, s3) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~node53(c_p1, s2, s3))))),
% 49.31/31.96 inference(monotonicity,[status(thm)],[5383])).
% 49.31/31.96 tff(5385,plain,
% 49.31/31.96 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s3) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node47(c_p1, s2) | (~node53(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node47(c_p1, s2) | m_processor_v_waiting(c_p1, s3) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~node53(c_p1, s2, s3)))),
% 49.31/31.96 inference(transitivity,[status(thm)],[5384, 5382])).
% 49.31/31.96 tff(5386,plain,
% 49.31/31.96 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s3) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node47(c_p1, s2) | (~node53(c_p1, s2, s3)))),
% 49.35/31.96 inference(quant_inst,[status(thm)],[])).
% 49.35/31.96 tff(5387,plain,
% 49.35/31.96 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node47(c_p1, s2) | m_processor_v_waiting(c_p1, s3) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~node53(c_p1, s2, s3))),
% 49.35/31.96 inference(modus_ponens,[status(thm)],[5386, 5385])).
% 49.35/31.96 tff(5388,plain,
% 49.35/31.96 ((~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node47(c_p1, s2) | m_processor_v_waiting(c_p1, s3) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned))),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[5387, 640, 5381])).
% 49.35/31.96 tff(5389,plain,
% 49.35/31.96 ($false),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[5388, 5264, 5377, 5376, 5375, 5374])).
% 49.35/31.96 tff(5390,plain,((~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | m_processor_v_waiting(c_p1, s3) | node47(c_p1, s2) | m_processor_v_state(c_p1, s3, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.35/31.96 tff(5391,plain,
% 49.35/31.96 (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[5390, 5076, 5375, 5374, 5091])).
% 49.35/31.96 tff(5392,assumption,(m_main_v_CMD(s2, c_read_h_owned)), introduced(assumption)).
% 49.35/31.96 tff(5393,assumption,(~m_processor_v_CMD(c_p1, s2, c_read_h_owned)), introduced(assumption)).
% 49.35/31.96 tff(5394,plain,
% 49.35/31.96 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~m_main_v_CMD(s2, c_read_h_owned)) | (~node3(s2)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~m_main_v_CMD(s2, c_read_h_owned)) | (~node3(s2)))),
% 49.35/31.96 inference(rewrite,[status(thm)],[])).
% 49.35/31.96 tff(5395,plain,
% 49.35/31.96 (((~m_main_v_CMD(s2, c_read_h_owned)) | (~node3(s2)) | m_processor_v_CMD(c_p1, s2, c_read_h_owned)) <=> (m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~m_main_v_CMD(s2, c_read_h_owned)) | (~node3(s2)))),
% 49.35/31.96 inference(rewrite,[status(thm)],[])).
% 49.35/31.96 tff(5396,plain,
% 49.35/31.96 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s2, c_read_h_owned)) | (~node3(s2)) | m_processor_v_CMD(c_p1, s2, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~m_main_v_CMD(s2, c_read_h_owned)) | (~node3(s2))))),
% 49.35/31.96 inference(monotonicity,[status(thm)],[5395])).
% 49.35/31.96 tff(5397,plain,
% 49.35/31.96 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s2, c_read_h_owned)) | (~node3(s2)) | m_processor_v_CMD(c_p1, s2, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~m_main_v_CMD(s2, c_read_h_owned)) | (~node3(s2)))),
% 49.35/31.96 inference(transitivity,[status(thm)],[5396, 5394])).
% 49.35/31.96 tff(5398,plain,
% 49.35/31.96 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s2, c_read_h_owned)) | (~node3(s2)) | m_processor_v_CMD(c_p1, s2, c_read_h_owned))),
% 49.35/31.96 inference(quant_inst,[status(thm)],[])).
% 49.35/31.96 tff(5399,plain,
% 49.35/31.96 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~m_main_v_CMD(s2, c_read_h_owned)) | (~node3(s2))),
% 49.35/31.96 inference(modus_ponens,[status(thm)],[5398, 5397])).
% 49.35/31.96 tff(5400,plain,
% 49.35/31.96 ($false),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[5399, 1945, 5290, 5393, 5392])).
% 49.35/31.96 tff(5401,plain,((~m_main_v_CMD(s2, c_read_h_owned)) | m_processor_v_CMD(c_p1, s2, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.35/31.96 tff(5402,plain,
% 49.35/31.96 ($false),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[5401, 5391, 5373])).
% 49.35/31.96 tff(5403,plain,((~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_waiting(c_p1, s3) | node47(c_p1, s2) | m_processor_v_state(c_p1, s3, c_invalid) | (~m_processor_v_state(c_p1, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 49.35/31.96 tff(5404,plain,
% 49.35/31.96 (node47(c_p1, s2)),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[5403, 5075, 2621, 2617, 2595])).
% 49.35/31.96 tff(5405,plain,
% 49.35/31.96 (~node32(c_p1, s2, s3)),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[5107, 5075, 2621])).
% 49.35/31.96 tff(5406,plain,
% 49.35/31.96 (~m_processor_v_abort(c_p1, s2)),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[5121, 5405])).
% 49.35/31.96 tff(5407,plain,
% 49.35/31.96 (~m_processor_v_state(c_p1, s2, c_shared)),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[5081, 5075])).
% 49.35/31.96 tff(5408,plain,
% 49.35/31.96 (m_processor_v_master(c_p1, s2)),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[5131, 5407, 2621, 5075])).
% 49.35/31.96 tff(5409,plain,
% 49.35/31.96 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | m_processor_v_waiting(c_p1, s3) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | (~node53(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | m_processor_v_waiting(c_p1, s3) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | (~node53(c_p1, s2, s3)))),
% 49.35/31.96 inference(rewrite,[status(thm)],[])).
% 49.35/31.96 tff(5410,plain,
% 49.35/31.96 ((m_processor_v_waiting(c_p1, s3) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | (~node53(c_p1, s2, s3))) <=> ((~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | m_processor_v_waiting(c_p1, s3) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | (~node53(c_p1, s2, s3)))),
% 49.35/31.96 inference(rewrite,[status(thm)],[])).
% 49.35/31.96 tff(5411,plain,
% 49.35/31.96 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s3) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | (~node53(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | m_processor_v_waiting(c_p1, s3) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | (~node53(c_p1, s2, s3))))),
% 49.35/31.96 inference(monotonicity,[status(thm)],[5410])).
% 49.35/31.96 tff(5412,plain,
% 49.35/31.96 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s3) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | (~node53(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | m_processor_v_waiting(c_p1, s3) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | (~node53(c_p1, s2, s3)))),
% 49.35/31.96 inference(transitivity,[status(thm)],[5411, 5409])).
% 49.35/31.96 tff(5413,plain,
% 49.35/31.96 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s3) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | (~node53(c_p1, s2, s3)))),
% 49.35/31.96 inference(quant_inst,[status(thm)],[])).
% 49.35/31.96 tff(5414,plain,
% 49.35/31.96 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | m_processor_v_waiting(c_p1, s3) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | (~node53(c_p1, s2, s3))),
% 49.35/31.96 inference(modus_ponens,[status(thm)],[5413, 5412])).
% 49.35/31.96 tff(5415,plain,
% 49.35/31.96 ((~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | m_processor_v_waiting(c_p1, s3) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared))),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[5414, 589, 5381])).
% 49.35/31.96 tff(5416,plain,
% 49.35/31.96 (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[5415, 5408, 2617, 5406])).
% 49.35/31.96 tff(5417,plain,
% 49.35/31.96 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~node47(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~node47(c_p1, s2)))),
% 49.35/31.96 inference(rewrite,[status(thm)],[])).
% 49.35/31.96 tff(5418,plain,
% 49.35/31.96 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~node47(c_p1, s2)))),
% 49.35/31.96 inference(quant_inst,[status(thm)],[])).
% 49.35/31.96 tff(5419,plain,
% 49.35/31.96 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~node47(c_p1, s2))),
% 49.35/31.96 inference(modus_ponens,[status(thm)],[5418, 5417])).
% 49.35/31.96 tff(5420,plain,
% 49.35/31.96 ($false),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[5419, 657, 5416, 5404])).
% 49.35/31.96 tff(5421,plain,((~node67(s3)) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_master(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 49.35/31.96 tff(5422,plain,
% 49.35/31.96 (m_processor_v_master(c_p0, s2)),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[5421, 2594, 2595])).
% 49.35/31.96 tff(5423,plain,
% 49.35/31.96 (~m_processor_v_master(c_p1, s2)),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[5370, 794, 5422])).
% 49.35/31.96 tff(5424,plain,
% 49.35/31.96 (m_processor_v_state(c_p1, s2, c_invalid)),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[3117, 3110, 3112])).
% 49.35/31.96 tff(5425,plain,
% 49.35/31.96 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s2, c_owned) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~node37(c_p1, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s2, c_owned) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~node37(c_p1, s2, s3)))),
% 49.35/31.96 inference(rewrite,[status(thm)],[])).
% 49.35/31.96 tff(5426,plain,
% 49.35/31.96 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s2, c_owned) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~node37(c_p1, s2, s3)))),
% 49.35/31.96 inference(quant_inst,[status(thm)],[])).
% 49.35/31.96 tff(5427,plain,
% 49.35/31.96 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s2, c_owned) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~node37(c_p1, s2, s3))),
% 49.35/31.96 inference(modus_ponens,[status(thm)],[5426, 5425])).
% 49.35/31.96 tff(5428,plain,
% 49.35/31.96 ($false),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[5427, 182, 3112, 5092, 2595])).
% 49.35/31.96 tff(5429,plain,((~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s2, c_owned) | (~node37(c_p1, s2, s3))), inference(lemma,lemma(discharge,[]))).
% 49.35/31.96 tff(5430,plain,
% 49.35/31.96 (~node37(c_p1, s2, s3)),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[5429, 2595, 3112])).
% 49.35/31.96 tff(5431,plain,
% 49.35/31.96 (m_processor_v_abort(c_p1, s2)),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[5129, 5430, 3110, 5089, 5090])).
% 49.35/31.96 tff(5432,plain,
% 49.35/31.96 (node32(c_p1, s2, s3)),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[5121, 5431])).
% 49.35/31.96 tff(5433,plain,
% 49.35/31.96 (m_processor_v_state(c_p1, s3, c_invalid)),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[5107, 5432, 5424])).
% 49.35/31.96 tff(5434,plain,
% 49.35/31.96 ($false),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[2620, 137, 5433, 2595])).
% 49.35/31.96 tff(5435,plain,((~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s2, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.35/31.96 tff(5436,plain,
% 49.35/31.96 (m_processor_v_state(c_p1, s2, c_shared)),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[5435, 5090, 3112, 2595])).
% 49.35/31.96 tff(5437,plain,
% 49.35/31.96 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s2, c_shared)) | (~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s2, c_shared)) | (~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_shared))),
% 49.35/31.96 inference(rewrite,[status(thm)],[])).
% 49.35/31.96 tff(5438,plain,
% 49.35/31.96 (((~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_shared)) <=> ((~m_processor_v_state(c_p1, s2, c_shared)) | (~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_shared))),
% 49.35/31.96 inference(rewrite,[status(thm)],[])).
% 49.35/31.96 tff(5439,plain,
% 49.35/31.96 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s2, c_shared)) | (~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_shared)))),
% 49.35/31.96 inference(monotonicity,[status(thm)],[5438])).
% 49.35/31.96 tff(5440,plain,
% 49.35/31.96 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s2, c_shared)) | (~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_shared))),
% 49.35/31.96 inference(transitivity,[status(thm)],[5439, 5437])).
% 49.35/31.96 tff(5441,plain,
% 49.35/31.96 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_shared))),
% 49.35/31.96 inference(quant_inst,[status(thm)],[])).
% 49.35/31.96 tff(5442,plain,
% 49.35/31.96 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s2, c_shared)) | (~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_shared)),
% 49.35/31.96 inference(modus_ponens,[status(thm)],[5441, 5440])).
% 49.35/31.96 tff(5443,plain,
% 49.35/31.96 ($false),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[5442, 380, 3794, 5277, 5099])).
% 49.35/31.96 tff(5444,plain,((~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_shared)), inference(lemma,lemma(discharge,[]))).
% 49.35/31.96 tff(5445,plain,
% 49.35/31.96 (~node32(c_p1, s2, s3)),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[5444, 3794, 5277])).
% 49.35/31.96 tff(5446,plain,
% 49.35/31.96 (~m_processor_v_abort(c_p1, s2)),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[5121, 5445])).
% 49.35/31.96 tff(5447,plain,
% 49.35/31.96 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_shared)) | node36(c_p1, s2) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_shared)) | node36(c_p1, s2) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)))),
% 49.35/31.96 inference(rewrite,[status(thm)],[])).
% 49.35/31.96 tff(5448,plain,
% 49.35/31.96 (((~m_processor_v_state(c_p1, s2, c_shared)) | node36(c_p1, s2) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2)) <=> (m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_shared)) | node36(c_p1, s2) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)))),
% 49.35/31.96 inference(rewrite,[status(thm)],[])).
% 49.35/31.96 tff(5449,plain,
% 49.35/31.96 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s2, c_shared)) | node36(c_p1, s2) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_shared)) | node36(c_p1, s2) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3))))),
% 49.35/31.96 inference(monotonicity,[status(thm)],[5448])).
% 49.35/31.96 tff(5450,plain,
% 49.35/31.96 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s2, c_shared)) | node36(c_p1, s2) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_shared)) | node36(c_p1, s2) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)))),
% 49.35/31.96 inference(transitivity,[status(thm)],[5449, 5447])).
% 49.35/31.96 tff(5451,plain,
% 49.35/31.96 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s2, c_shared)) | node36(c_p1, s2) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))),
% 49.35/31.96 inference(quant_inst,[status(thm)],[])).
% 49.35/31.96 tff(5452,plain,
% 49.35/31.96 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_shared)) | node36(c_p1, s2) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3))),
% 49.35/31.96 inference(modus_ponens,[status(thm)],[5451, 5450])).
% 49.35/31.96 tff(5453,plain,
% 49.35/31.96 (m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_shared)) | node36(c_p1, s2) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid)),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[5452, 341, 5114])).
% 49.35/31.96 tff(5454,plain,
% 49.35/31.96 (node36(c_p1, s2)),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[5453, 5446, 5091, 3794, 5090, 5277])).
% 49.35/31.96 tff(5455,assumption,(~m_processor_v_CMD(c_p1, s2, c_invalidate)), introduced(assumption)).
% 49.35/31.96 tff(5456,plain,
% 49.35/31.96 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node36(c_p1, s2)) | m_processor_v_CMD(c_p1, s2, c_invalidate))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node36(c_p1, s2)) | m_processor_v_CMD(c_p1, s2, c_invalidate))),
% 49.35/31.96 inference(rewrite,[status(thm)],[])).
% 49.35/31.96 tff(5457,plain,
% 49.35/31.96 ((m_processor_v_CMD(c_p1, s2, c_invalidate) | (~node36(c_p1, s2)) | m_processor_v_CMD(c_p1, s2, c_read_h_owned)) <=> (m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node36(c_p1, s2)) | m_processor_v_CMD(c_p1, s2, c_invalidate))),
% 49.35/31.96 inference(rewrite,[status(thm)],[])).
% 49.35/31.96 tff(5458,plain,
% 49.35/31.96 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s2, c_invalidate) | (~node36(c_p1, s2)) | m_processor_v_CMD(c_p1, s2, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node36(c_p1, s2)) | m_processor_v_CMD(c_p1, s2, c_invalidate)))),
% 49.35/31.96 inference(monotonicity,[status(thm)],[5457])).
% 49.35/31.96 tff(5459,plain,
% 49.35/31.96 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s2, c_invalidate) | (~node36(c_p1, s2)) | m_processor_v_CMD(c_p1, s2, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node36(c_p1, s2)) | m_processor_v_CMD(c_p1, s2, c_invalidate))),
% 49.35/31.96 inference(transitivity,[status(thm)],[5458, 5456])).
% 49.35/31.96 tff(5460,plain,
% 49.35/31.96 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s2, c_invalidate) | (~node36(c_p1, s2)) | m_processor_v_CMD(c_p1, s2, c_read_h_owned))),
% 49.35/31.96 inference(quant_inst,[status(thm)],[])).
% 49.35/31.96 tff(5461,plain,
% 49.35/31.96 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node36(c_p1, s2)) | m_processor_v_CMD(c_p1, s2, c_invalidate)),
% 49.35/31.96 inference(modus_ponens,[status(thm)],[5460, 5459])).
% 49.35/31.96 tff(5462,plain,
% 49.35/31.96 (m_processor_v_CMD(c_p1, s2, c_read_h_owned) | (~node36(c_p1, s2))),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[5461, 359, 5455])).
% 49.35/31.96 tff(5463,plain,
% 49.35/31.96 (m_processor_v_CMD(c_p1, s2, c_read_h_owned)),
% 49.35/31.96 inference(unit_resolution,[status(thm)],[5462, 5454])).
% 49.35/31.96 tff(5464,plain,
% 49.35/31.96 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p1, s2) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p1, s2) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)))),
% 49.35/31.97 inference(rewrite,[status(thm)],[])).
% 49.35/31.97 tff(5465,plain,
% 49.35/31.97 (((~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_master(c_p1, s2) | node35(c_p1, s2) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2)) <=> (node35(c_p1, s2) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)))),
% 49.35/31.97 inference(rewrite,[status(thm)],[])).
% 49.35/31.97 tff(5466,plain,
% 49.35/31.97 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_master(c_p1, s2) | node35(c_p1, s2) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p1, s2) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3))))),
% 49.35/31.97 inference(monotonicity,[status(thm)],[5465])).
% 49.35/31.97 tff(5467,plain,
% 49.35/31.97 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_master(c_p1, s2) | node35(c_p1, s2) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p1, s2) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)))),
% 49.35/31.97 inference(transitivity,[status(thm)],[5466, 5464])).
% 49.35/31.97 tff(5468,plain,
% 49.35/31.97 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_master(c_p1, s2) | node35(c_p1, s2) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3)) | m_processor_v_abort(c_p1, s2))),
% 49.35/31.97 inference(quant_inst,[status(thm)],[])).
% 49.35/31.97 tff(5469,plain,
% 49.35/31.97 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p1, s2) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_invalid) | (~node38(c_p1, s2, s3))),
% 49.35/31.97 inference(modus_ponens,[status(thm)],[5468, 5467])).
% 49.35/31.97 tff(5470,plain,
% 49.35/31.97 (node35(c_p1, s2) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_invalid)),
% 49.35/31.97 inference(unit_resolution,[status(thm)],[5469, 301, 5114])).
% 49.35/31.97 tff(5471,plain,
% 49.35/31.97 (node35(c_p1, s2)),
% 49.35/31.97 inference(unit_resolution,[status(thm)],[5470, 5446, 5091, 3794, 5090])).
% 49.35/31.97 tff(5472,plain,
% 49.35/31.97 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~node35(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~node35(c_p1, s2)))),
% 49.35/31.97 inference(rewrite,[status(thm)],[])).
% 49.35/31.97 tff(5473,plain,
% 49.35/31.97 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~node35(c_p1, s2)))),
% 49.35/31.97 inference(quant_inst,[status(thm)],[])).
% 49.35/31.97 tff(5474,plain,
% 49.35/31.97 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~node35(c_p1, s2))),
% 49.35/31.97 inference(modus_ponens,[status(thm)],[5473, 5472])).
% 49.35/31.97 tff(5475,plain,
% 49.35/31.97 ($false),
% 49.35/31.97 inference(unit_resolution,[status(thm)],[5474, 316, 5471, 5463])).
% 49.35/31.97 tff(5476,plain,((~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_CMD(c_p1, s2, c_invalidate) | m_processor_v_state(c_p1, s3, c_invalid) | m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s3, c_shared)), inference(lemma,lemma(discharge,[]))).
% 49.35/31.97 tff(5477,plain,
% 49.35/31.97 (m_processor_v_CMD(c_p1, s2, c_invalidate)),
% 49.35/31.97 inference(unit_resolution,[status(thm)],[5476, 3794, 5277, 5090, 5091])).
% 49.35/31.97 tff(5478,plain,
% 49.35/31.97 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s2, c_invalidate)) | (~node35(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s2, c_invalidate)) | (~node35(c_p1, s2)))),
% 49.35/31.97 inference(rewrite,[status(thm)],[])).
% 49.35/31.97 tff(5479,plain,
% 49.35/31.97 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s2, c_invalidate)) | (~node35(c_p1, s2)))),
% 49.35/31.97 inference(quant_inst,[status(thm)],[])).
% 49.35/31.97 tff(5480,plain,
% 49.35/31.97 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s2, c_invalidate)) | (~node35(c_p1, s2))),
% 49.35/31.97 inference(modus_ponens,[status(thm)],[5479, 5478])).
% 49.35/31.97 tff(5481,plain,
% 49.35/31.97 ($false),
% 49.35/31.97 inference(unit_resolution,[status(thm)],[5480, 327, 5471, 5477])).
% 49.35/31.97 tff(5482,plain,((~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_invalid) | m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s3, c_shared)), inference(lemma,lemma(discharge,[]))).
% 49.35/31.97 tff(5483,plain,
% 49.35/31.97 ($false),
% 49.35/31.97 inference(unit_resolution,[status(thm)],[5482, 5436, 5090, 5140, 2621])).
% 49.35/31.97 tff(5484,plain,(m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s2, c_owned) | (~m_processor_v_state(c_p1, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 49.35/31.97 tff(5485,plain,
% 49.35/31.97 (m_processor_v_state(c_p1, s2, c_owned)),
% 49.35/31.97 inference(unit_resolution,[status(thm)],[5484, 5423, 2595])).
% 49.35/31.97 tff(5486,plain,
% 49.35/31.97 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_state(c_p1, s2, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_state(c_p1, s2, c_owned)))),
% 49.35/31.97 inference(rewrite,[status(thm)],[])).
% 49.35/31.97 tff(5487,plain,
% 49.35/31.97 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_state(c_p1, s2, c_owned)))),
% 49.35/31.97 inference(quant_inst,[status(thm)],[])).
% 49.35/31.97 tff(5488,plain,
% 49.35/31.97 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_state(c_p1, s2, c_owned))),
% 49.35/31.97 inference(modus_ponens,[status(thm)],[5487, 5486])).
% 49.35/31.97 tff(5489,plain,
% 49.35/31.97 ($false),
% 49.35/31.97 inference(unit_resolution,[status(thm)],[5488, 137, 5076, 3147])).
% 49.35/31.97 tff(5490,plain,((~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_state(c_p1, s2, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 49.35/31.97 tff(5491,plain,
% 49.35/31.97 (~m_processor_v_state(c_p1, s2, c_invalid)),
% 49.35/31.97 inference(unit_resolution,[status(thm)],[5490, 5485])).
% 49.35/31.97 tff(5492,plain,
% 49.35/31.97 (m_processor_v_state(c_p0, s2, c_invalid)),
% 49.35/31.97 inference(unit_resolution,[status(thm)],[5074, 5491])).
% 49.35/31.97 tff(5493,plain,
% 49.35/31.97 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 49.35/31.97 inference(unit_resolution,[status(thm)],[2665, 137, 2651])).
% 49.35/31.97 tff(5494,assumption,(m_processor_v_state(c_p0, s2, c_invalid)), introduced(assumption)).
% 49.35/31.97 tff(5495,plain,
% 49.35/31.97 ($false),
% 49.35/31.97 inference(unit_resolution,[status(thm)],[2716, 380, 5494, 2722, 2724])).
% 49.35/31.97 tff(5496,plain,((~node32(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.35/31.97 tff(5497,plain,
% 49.35/31.97 (~node32(c_p0, s2, s3)),
% 49.35/31.97 inference(unit_resolution,[status(thm)],[5496, 5493, 5492])).
% 49.35/31.97 tff(5498,plain,
% 49.35/31.97 (~m_processor_v_abort(c_p0, s2)),
% 49.35/31.97 inference(unit_resolution,[status(thm)],[2704, 5497])).
% 49.35/31.97 tff(5499,assumption,(m_processor_v_master(c_p0, s2)), introduced(assumption)).
% 49.35/31.97 tff(5500,assumption,(~m_processor_v_abort(c_p0, s2)), introduced(assumption)).
% 49.35/31.97 tff(5501,assumption,(~m_processor_v_waiting(c_p0, s3)), introduced(assumption)).
% 49.35/31.97 tff(5502,plain,
% 49.35/31.97 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s2, s3)) | node53(c_p0, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s2, s3)) | node53(c_p0, s2, s3))),
% 49.35/31.97 inference(rewrite,[status(thm)],[])).
% 49.35/31.97 tff(5503,plain,
% 49.35/31.97 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s2, s3)) | node53(c_p0, s2, s3))),
% 49.35/31.97 inference(quant_inst,[status(thm)],[])).
% 49.35/31.97 tff(5504,plain,
% 49.35/31.97 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s2, s3)) | node53(c_p0, s2, s3)),
% 49.35/31.97 inference(modus_ponens,[status(thm)],[5503, 5502])).
% 49.35/31.97 tff(5505,plain,
% 49.35/31.97 (node53(c_p0, s2, s3)),
% 49.35/31.97 inference(unit_resolution,[status(thm)],[5504, 575, 2684])).
% 49.35/31.97 tff(5506,plain,
% 49.35/31.97 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~node53(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~node53(c_p0, s2, s3)))),
% 49.35/31.97 inference(rewrite,[status(thm)],[])).
% 49.35/31.97 tff(5507,plain,
% 49.35/31.97 ((m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | (~node53(c_p0, s2, s3))) <=> ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~node53(c_p0, s2, s3)))),
% 49.35/31.97 inference(rewrite,[status(thm)],[])).
% 49.35/31.97 tff(5508,plain,
% 49.35/31.97 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | (~node53(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~node53(c_p0, s2, s3))))),
% 49.35/31.97 inference(monotonicity,[status(thm)],[5507])).
% 49.35/31.97 tff(5509,plain,
% 49.35/31.97 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | (~node53(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~node53(c_p0, s2, s3)))),
% 49.35/31.97 inference(transitivity,[status(thm)],[5508, 5506])).
% 49.35/31.97 tff(5510,plain,
% 49.35/31.97 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | (~node53(c_p0, s2, s3)))),
% 49.35/31.97 inference(quant_inst,[status(thm)],[])).
% 49.35/31.97 tff(5511,plain,
% 49.35/31.97 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~node53(c_p0, s2, s3))),
% 49.35/31.97 inference(modus_ponens,[status(thm)],[5510, 5509])).
% 49.35/31.97 tff(5512,plain,
% 49.35/31.97 ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared))),
% 49.35/31.97 inference(unit_resolution,[status(thm)],[5511, 589, 5505])).
% 49.35/31.97 tff(5513,plain,
% 49.35/31.97 (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 49.35/31.97 inference(unit_resolution,[status(thm)],[5512, 5499, 5501, 5500])).
% 49.35/31.97 tff(5514,assumption,(~m_processor_v_CMD(c_p0, s2, c_read_h_shared)), introduced(assumption)).
% 49.35/31.97 tff(5515,assumption,(~node2(s2)), introduced(assumption)).
% 49.35/31.97 tff(5516,plain,
% 49.35/31.97 ((~![X: $i] : node2(X)) | node2(s2)),
% 49.35/31.97 inference(quant_inst,[status(thm)],[])).
% 49.35/31.97 tff(5517,plain,
% 49.35/31.97 ($false),
% 49.35/31.97 inference(unit_resolution,[status(thm)],[5516, 1215, 5515])).
% 49.35/31.97 tff(5518,plain,(node2(s2)), inference(lemma,lemma(discharge,[]))).
% 49.35/31.97 tff(5519,plain,
% 49.35/31.97 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~node2(s2)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~node2(s2)))),
% 49.35/31.97 inference(rewrite,[status(thm)],[])).
% 49.35/31.97 tff(5520,plain,
% 49.35/31.97 (((~m_main_v_CMD(s2, c_read_h_shared)) | (~node2(s2)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared)) <=> (m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~node2(s2)))),
% 49.35/31.97 inference(rewrite,[status(thm)],[])).
% 49.35/31.97 tff(5521,plain,
% 49.35/31.97 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | (~node2(s2)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~node2(s2))))),
% 49.35/31.97 inference(monotonicity,[status(thm)],[5520])).
% 49.35/31.97 tff(5522,plain,
% 49.35/31.97 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | (~node2(s2)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~node2(s2)))),
% 49.35/31.97 inference(transitivity,[status(thm)],[5521, 5519])).
% 49.35/31.97 tff(5523,plain,
% 49.35/31.97 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | (~node2(s2)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared))),
% 49.35/31.97 inference(quant_inst,[status(thm)],[])).
% 49.35/31.97 tff(5524,plain,
% 49.35/31.97 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~node2(s2))),
% 49.35/31.97 inference(modus_ponens,[status(thm)],[5523, 5522])).
% 49.35/31.97 tff(5525,plain,
% 49.35/31.97 ($false),
% 49.35/31.97 inference(unit_resolution,[status(thm)],[5524, 1228, 5518, 5286, 5514])).
% 49.35/31.97 tff(5526,plain,((~m_main_v_CMD(s2, c_read_h_shared)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.35/31.97 tff(5527,plain,
% 49.35/31.97 (~m_main_v_CMD(s2, c_read_h_shared)),
% 49.35/31.97 inference(unit_resolution,[status(thm)],[5526, 5513])).
% 49.35/31.97 tff(5528,plain,
% 49.35/31.97 (~m_processor_v_master(c_p1, s2)),
% 49.35/31.97 inference(unit_resolution,[status(thm)],[5370, 794, 5499])).
% 49.35/31.97 tff(5529,plain,
% 49.35/31.97 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p1, s2) | (~node64(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p1, s2) | (~node64(c_p1, s2)))),
% 49.35/31.97 inference(rewrite,[status(thm)],[])).
% 49.35/31.97 tff(5530,plain,
% 49.35/31.97 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p1, s2) | (~node64(c_p1, s2)))),
% 49.35/31.97 inference(quant_inst,[status(thm)],[])).
% 49.35/31.97 tff(5531,plain,
% 49.35/31.97 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p1, s2) | (~node64(c_p1, s2))),
% 49.35/31.97 inference(modus_ponens,[status(thm)],[5530, 5529])).
% 49.35/31.97 tff(5532,plain,
% 49.35/31.97 (~node64(c_p1, s2)),
% 49.35/31.97 inference(unit_resolution,[status(thm)],[5531, 1482, 5090])).
% 49.35/31.97 tff(5533,plain,
% 49.35/31.97 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p1, s2) | (~node66(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p1, s2) | (~node66(c_p1, s2)))),
% 49.35/31.97 inference(rewrite,[status(thm)],[])).
% 49.35/31.97 tff(5534,plain,
% 49.35/31.97 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p1, s2) | (~node66(c_p1, s2)))),
% 49.35/31.97 inference(quant_inst,[status(thm)],[])).
% 49.35/31.97 tff(5535,plain,
% 49.35/31.97 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p1, s2) | (~node66(c_p1, s2))),
% 49.35/31.97 inference(modus_ponens,[status(thm)],[5534, 5533])).
% 49.35/31.97 tff(5536,plain,
% 49.35/31.97 (~node66(c_p1, s2)),
% 49.35/31.97 inference(unit_resolution,[status(thm)],[5535, 1446, 5090])).
% 49.35/31.97 tff(5537,plain,
% 49.35/31.97 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p1, s2) | (~node65(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p1, s2) | (~node65(c_p1, s2)))),
% 49.35/31.97 inference(rewrite,[status(thm)],[])).
% 49.35/31.97 tff(5538,plain,
% 49.35/31.97 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p1, s2) | (~node65(c_p1, s2)))),
% 49.35/31.97 inference(quant_inst,[status(thm)],[])).
% 49.35/31.97 tff(5539,plain,
% 49.35/31.97 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p1, s2) | (~node65(c_p1, s2))),
% 49.35/31.97 inference(modus_ponens,[status(thm)],[5538, 5537])).
% 49.35/31.97 tff(5540,plain,
% 49.35/31.97 (~node65(c_p1, s2)),
% 49.35/31.97 inference(unit_resolution,[status(thm)],[5539, 1457, 5090])).
% 49.35/31.97 tff(5541,assumption,(~m_processor_v_cmd(c_p1, s2, c_idle)), introduced(assumption)).
% 49.35/31.97 tff(5542,plain,
% 49.35/31.97 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p1, s2) | (~node63(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p1, s2) | (~node63(c_p1, s2)))),
% 49.35/31.97 inference(rewrite,[status(thm)],[])).
% 49.35/31.97 tff(5543,plain,
% 49.35/31.97 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p1, s2) | (~node63(c_p1, s2)))),
% 49.35/31.97 inference(quant_inst,[status(thm)],[])).
% 49.35/31.97 tff(5544,plain,
% 49.35/31.97 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p1, s2) | (~node63(c_p1, s2))),
% 49.35/31.97 inference(modus_ponens,[status(thm)],[5543, 5542])).
% 49.35/31.97 tff(5545,plain,
% 49.35/31.97 (~node63(c_p1, s2)),
% 49.35/31.97 inference(unit_resolution,[status(thm)],[5544, 1469, 5090])).
% 49.35/31.97 tff(5546,plain,
% 49.35/31.97 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p1, s2) | (~node62(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p1, s2) | (~node62(c_p1, s2)))),
% 49.35/31.97 inference(rewrite,[status(thm)],[])).
% 49.35/31.97 tff(5547,plain,
% 49.35/31.97 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p1, s2) | (~node62(c_p1, s2)))),
% 49.35/31.97 inference(quant_inst,[status(thm)],[])).
% 49.35/31.97 tff(5548,plain,
% 49.35/31.97 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p1, s2) | (~node62(c_p1, s2))),
% 49.35/31.97 inference(modus_ponens,[status(thm)],[5547, 5546])).
% 49.35/31.97 tff(5549,plain,
% 49.35/31.97 (~node62(c_p1, s2)),
% 49.35/31.97 inference(unit_resolution,[status(thm)],[5548, 1493, 5090])).
% 49.35/31.97 tff(5550,assumption,(~node62(c_p1, s2)), introduced(assumption)).
% 49.35/31.97 tff(5551,assumption,(~node63(c_p1, s2)), introduced(assumption)).
% 49.35/31.97 tff(5552,assumption,(~node64(c_p1, s2)), introduced(assumption)).
% 49.35/31.97 tff(5553,assumption,(~node65(c_p1, s2)), introduced(assumption)).
% 49.35/31.97 tff(5554,assumption,(~node66(c_p1, s2)), introduced(assumption)).
% 49.35/31.97 tff(5555,plain,
% 49.35/31.97 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node65(c_p1, s2) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2) | node66(c_p1, s2) | m_processor_v_cmd(c_p1, s2, c_idle))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node65(c_p1, s2) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2) | node66(c_p1, s2) | m_processor_v_cmd(c_p1, s2, c_idle))),
% 49.35/31.97 inference(rewrite,[status(thm)],[])).
% 49.35/31.97 tff(5556,plain,
% 49.35/31.97 ((m_processor_v_cmd(c_p1, s2, c_idle) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2) | node65(c_p1, s2) | node66(c_p1, s2)) <=> (node65(c_p1, s2) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2) | node66(c_p1, s2) | m_processor_v_cmd(c_p1, s2, c_idle))),
% 49.35/31.97 inference(rewrite,[status(thm)],[])).
% 49.35/31.97 tff(5557,plain,
% 49.35/31.97 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s2, c_idle) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2) | node65(c_p1, s2) | node66(c_p1, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node65(c_p1, s2) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2) | node66(c_p1, s2) | m_processor_v_cmd(c_p1, s2, c_idle)))),
% 49.35/31.97 inference(monotonicity,[status(thm)],[5556])).
% 49.35/31.97 tff(5558,plain,
% 49.35/31.97 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s2, c_idle) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2) | node65(c_p1, s2) | node66(c_p1, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node65(c_p1, s2) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2) | node66(c_p1, s2) | m_processor_v_cmd(c_p1, s2, c_idle))),
% 49.35/31.98 inference(transitivity,[status(thm)],[5557, 5555])).
% 49.35/31.98 tff(5559,plain,
% 49.35/31.98 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s2, c_idle) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2) | node65(c_p1, s2) | node66(c_p1, s2))),
% 49.35/31.98 inference(quant_inst,[status(thm)],[])).
% 49.35/31.98 tff(5560,plain,
% 49.35/31.98 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node65(c_p1, s2) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2) | node66(c_p1, s2) | m_processor_v_cmd(c_p1, s2, c_idle)),
% 49.35/31.98 inference(modus_ponens,[status(thm)],[5559, 5558])).
% 49.35/31.98 tff(5561,plain,
% 49.35/31.98 ($false),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5560, 1508, 5554, 5553, 5552, 5551, 5550, 5541])).
% 49.35/31.98 tff(5562,plain,(m_processor_v_cmd(c_p1, s2, c_idle) | node66(c_p1, s2) | node65(c_p1, s2) | node64(c_p1, s2) | node63(c_p1, s2) | node62(c_p1, s2)), inference(lemma,lemma(discharge,[]))).
% 49.35/31.98 tff(5563,plain,
% 49.35/31.98 ($false),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5562, 5549, 5545, 5541, 5540, 5536, 5532])).
% 49.35/31.98 tff(5564,plain,(m_processor_v_master(c_p1, s2) | m_processor_v_cmd(c_p1, s2, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.35/31.98 tff(5565,plain,
% 49.35/31.98 (m_processor_v_cmd(c_p1, s2, c_idle)),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5564, 5528])).
% 49.35/31.98 tff(5566,assumption,(~node8(s2)), introduced(assumption)).
% 49.35/31.98 tff(5567,plain,
% 49.35/31.98 (((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p0, s2)) | (~node17(s2)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | (~m_processor_v_master(c_p0, s2)) | (~node17(s2)))),
% 49.35/31.98 inference(rewrite,[status(thm)],[])).
% 49.35/31.98 tff(5568,plain,
% 49.35/31.98 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p0, s2)) | (~node17(s2)))),
% 49.35/31.98 inference(quant_inst,[status(thm)],[])).
% 49.35/31.98 tff(5569,plain,
% 49.35/31.98 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | (~m_processor_v_master(c_p0, s2)) | (~node17(s2))),
% 49.35/31.98 inference(modus_ponens,[status(thm)],[5568, 5567])).
% 49.35/31.98 tff(5570,plain,
% 49.35/31.98 (~node17(s2)),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5569, 1275, 5499])).
% 49.35/31.98 tff(5571,plain,
% 49.35/31.98 (~m_memory_v_master(c_m, s2)),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5179, 5570])).
% 49.35/31.98 tff(5572,plain,
% 49.35/31.98 (~node29(c_m, s2)),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5187, 5571])).
% 49.35/31.98 tff(5573,plain,
% 49.35/31.98 (m_memory_v_cmd(c_m, s2, c_idle)),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5195, 5572])).
% 49.35/31.98 tff(5574,plain,
% 49.35/31.98 (((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | ((~node16(s2)) | (~m_processor_v_master(c_p0, s2)))) <=> ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | (~node16(s2)) | (~m_processor_v_master(c_p0, s2)))),
% 49.35/31.98 inference(rewrite,[status(thm)],[])).
% 49.35/31.98 tff(5575,plain,
% 49.35/31.98 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | ((~node16(s2)) | (~m_processor_v_master(c_p0, s2)))),
% 49.35/31.98 inference(quant_inst,[status(thm)],[])).
% 49.35/31.98 tff(5576,plain,
% 49.35/31.98 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | (~node16(s2)) | (~m_processor_v_master(c_p0, s2))),
% 49.35/31.98 inference(modus_ponens,[status(thm)],[5575, 5574])).
% 49.35/31.98 tff(5577,plain,
% 49.35/31.98 (~node16(s2)),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5576, 1530, 5499])).
% 49.35/31.98 tff(5578,plain,
% 49.35/31.98 (~m_processor_v_master(c_p2, s2)),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5207, 5577])).
% 49.35/31.98 tff(5579,plain,
% 49.35/31.98 (~node64(c_p2, s2)),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5215, 5578])).
% 49.35/31.98 tff(5580,plain,
% 49.35/31.98 (~node65(c_p2, s2)),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5222, 5578])).
% 49.35/31.98 tff(5581,plain,
% 49.35/31.98 (~node62(c_p2, s2)),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5229, 5578])).
% 49.35/31.98 tff(5582,plain,
% 49.35/31.98 (~node66(c_p2, s2)),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5237, 5578])).
% 49.35/31.98 tff(5583,plain,
% 49.35/31.98 (~node63(c_p2, s2)),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5244, 5578])).
% 49.35/31.98 tff(5584,plain,
% 49.35/31.98 (m_processor_v_cmd(c_p2, s2, c_idle)),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5258, 5583, 5582, 5581, 5580, 5579])).
% 49.35/31.98 tff(5585,assumption,(m_processor_v_cmd(c_p2, s2, c_idle)), introduced(assumption)).
% 49.35/31.98 tff(5586,assumption,(m_memory_v_cmd(c_m, s2, c_idle)), introduced(assumption)).
% 49.35/31.98 tff(5587,plain,
% 49.35/31.98 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | ((~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_memory_v_cmd(c_m, s2, c_idle)) | node8(s2))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_memory_v_cmd(c_m, s2, c_idle)) | node8(s2))),
% 49.35/31.98 inference(rewrite,[status(thm)],[])).
% 49.35/31.98 tff(5588,plain,
% 49.35/31.98 ((node8(s2) | (~m_memory_v_cmd(c_m, s2, c_idle)) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle))) <=> ((~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_memory_v_cmd(c_m, s2, c_idle)) | node8(s2))),
% 49.35/31.98 inference(rewrite,[status(thm)],[])).
% 49.35/31.98 tff(5589,plain,
% 49.35/31.98 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s2) | (~m_memory_v_cmd(c_m, s2, c_idle)) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | ((~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_memory_v_cmd(c_m, s2, c_idle)) | node8(s2)))),
% 49.35/31.98 inference(monotonicity,[status(thm)],[5588])).
% 49.35/31.98 tff(5590,plain,
% 49.35/31.98 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s2) | (~m_memory_v_cmd(c_m, s2, c_idle)) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_memory_v_cmd(c_m, s2, c_idle)) | node8(s2))),
% 49.35/31.98 inference(transitivity,[status(thm)],[5589, 5587])).
% 49.35/31.98 tff(5591,plain,
% 49.35/31.98 ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s2) | (~m_memory_v_cmd(c_m, s2, c_idle)) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)))),
% 49.35/31.98 inference(quant_inst,[status(thm)],[])).
% 49.35/31.98 tff(5592,plain,
% 49.35/31.98 ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_memory_v_cmd(c_m, s2, c_idle)) | node8(s2)),
% 49.35/31.98 inference(modus_ponens,[status(thm)],[5591, 5590])).
% 49.35/31.98 tff(5593,plain,
% 49.35/31.98 ($false),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5592, 1593, 5142, 5586, 5566, 5585])).
% 49.35/31.98 tff(5594,plain,(node8(s2) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_memory_v_cmd(c_m, s2, c_idle)) | (~m_processor_v_cmd(c_p2, s2, c_idle))), inference(lemma,lemma(discharge,[]))).
% 49.35/31.98 tff(5595,plain,
% 49.35/31.98 ($false),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5594, 5584, 5573, 5566, 5565])).
% 49.35/31.98 tff(5596,plain,((~m_processor_v_master(c_p0, s2)) | node8(s2)), inference(lemma,lemma(discharge,[]))).
% 49.35/31.98 tff(5597,plain,
% 49.35/31.98 (node8(s2)),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5596, 5499])).
% 49.35/31.98 tff(5598,assumption,(m_processor_v_cmd(c_p0, s2, c_read_h_owned)), introduced(assumption)).
% 49.35/31.98 tff(5599,assumption,(node8(s2)), introduced(assumption)).
% 49.35/31.98 tff(5600,plain,
% 49.35/31.98 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s2, c_read_h_owned) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s2, c_read_h_owned) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_owned)))),
% 49.35/31.98 inference(rewrite,[status(thm)],[])).
% 49.35/31.98 tff(5601,plain,
% 49.35/31.98 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s2, c_read_h_owned) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_owned)))),
% 49.35/31.98 inference(quant_inst,[status(thm)],[])).
% 49.35/31.98 tff(5602,plain,
% 49.35/31.98 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s2, c_read_h_owned) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_owned))),
% 49.35/31.98 inference(modus_ponens,[status(thm)],[5601, 5600])).
% 49.35/31.98 tff(5603,plain,
% 49.35/31.98 ($false),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5602, 1669, 5133, 5599, 5598])).
% 49.35/31.98 tff(5604,plain,((~m_processor_v_cmd(c_p0, s2, c_read_h_owned)) | m_main_v_CMD(s2, c_read_h_owned) | (~node8(s2))), inference(lemma,lemma(discharge,[]))).
% 49.35/31.98 tff(5605,plain,
% 49.35/31.98 (~m_processor_v_cmd(c_p0, s2, c_read_h_owned)),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5604, 5597, 5133])).
% 49.35/31.98 tff(5606,assumption,(m_processor_v_cmd(c_p0, s2, c_read_h_shared)), introduced(assumption)).
% 49.35/31.98 tff(5607,plain,
% 49.35/31.98 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s2, c_read_h_shared) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s2, c_read_h_shared) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_shared)))),
% 49.35/31.98 inference(rewrite,[status(thm)],[])).
% 49.35/31.98 tff(5608,plain,
% 49.35/31.98 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s2, c_read_h_shared) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_shared)))),
% 49.35/31.98 inference(quant_inst,[status(thm)],[])).
% 49.35/31.98 tff(5609,plain,
% 49.35/31.98 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s2, c_read_h_shared) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_shared))),
% 49.35/31.98 inference(modus_ponens,[status(thm)],[5608, 5607])).
% 49.35/31.98 tff(5610,plain,
% 49.35/31.98 ($false),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5609, 1669, 5301, 5599, 5606])).
% 49.35/31.98 tff(5611,plain,((~m_processor_v_cmd(c_p0, s2, c_read_h_shared)) | m_main_v_CMD(s2, c_read_h_shared) | (~node8(s2))), inference(lemma,lemma(discharge,[]))).
% 49.35/31.98 tff(5612,plain,
% 49.35/31.98 (~m_processor_v_cmd(c_p0, s2, c_read_h_shared)),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5611, 5597, 5301])).
% 49.35/31.98 tff(5613,plain,
% 49.35/31.98 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p0, s2)) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_cmd(c_p0, s2, c_read_h_shared) | m_processor_v_cmd(c_p0, s2, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p0, s2)) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_cmd(c_p0, s2, c_read_h_shared) | m_processor_v_cmd(c_p0, s2, c_read_h_owned))),
% 49.35/31.98 inference(rewrite,[status(thm)],[])).
% 49.35/31.98 tff(5614,plain,
% 49.35/31.98 ((m_processor_v_cmd(c_p0, s2, c_read_h_owned) | m_processor_v_cmd(c_p0, s2, c_read_h_shared) | (~m_processor_v_state(c_p0, s2, c_invalid)) | (~m_processor_v_master(c_p0, s2))) <=> ((~m_processor_v_master(c_p0, s2)) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_cmd(c_p0, s2, c_read_h_shared) | m_processor_v_cmd(c_p0, s2, c_read_h_owned))),
% 49.35/31.98 inference(rewrite,[status(thm)],[])).
% 49.35/31.98 tff(5615,plain,
% 49.35/31.98 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s2, c_read_h_owned) | m_processor_v_cmd(c_p0, s2, c_read_h_shared) | (~m_processor_v_state(c_p0, s2, c_invalid)) | (~m_processor_v_master(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p0, s2)) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_cmd(c_p0, s2, c_read_h_shared) | m_processor_v_cmd(c_p0, s2, c_read_h_owned)))),
% 49.35/31.98 inference(monotonicity,[status(thm)],[5614])).
% 49.35/31.98 tff(5616,plain,
% 49.35/31.98 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s2, c_read_h_owned) | m_processor_v_cmd(c_p0, s2, c_read_h_shared) | (~m_processor_v_state(c_p0, s2, c_invalid)) | (~m_processor_v_master(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p0, s2)) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_cmd(c_p0, s2, c_read_h_shared) | m_processor_v_cmd(c_p0, s2, c_read_h_owned))),
% 49.35/31.98 inference(transitivity,[status(thm)],[5615, 5613])).
% 49.35/31.98 tff(5617,plain,
% 49.35/31.98 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s2, c_read_h_owned) | m_processor_v_cmd(c_p0, s2, c_read_h_shared) | (~m_processor_v_state(c_p0, s2, c_invalid)) | (~m_processor_v_master(c_p0, s2)))),
% 49.35/31.98 inference(quant_inst,[status(thm)],[])).
% 49.35/31.98 tff(5618,plain,
% 49.35/31.98 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p0, s2)) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_cmd(c_p0, s2, c_read_h_shared) | m_processor_v_cmd(c_p0, s2, c_read_h_owned)),
% 49.35/31.98 inference(modus_ponens,[status(thm)],[5617, 5616])).
% 49.35/31.98 tff(5619,plain,
% 49.35/31.98 ((~m_processor_v_master(c_p0, s2)) | m_processor_v_cmd(c_p0, s2, c_read_h_shared) | m_processor_v_cmd(c_p0, s2, c_read_h_owned)),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5618, 1835, 5494])).
% 49.35/31.98 tff(5620,plain,
% 49.35/31.98 ($false),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5619, 5612, 5605, 5499])).
% 49.35/31.98 tff(5621,plain,((~m_processor_v_master(c_p0, s2)) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_main_v_CMD(s2, c_read_h_shared) | m_main_v_CMD(s2, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.35/31.98 tff(5622,plain,
% 49.35/31.98 (m_main_v_CMD(s2, c_read_h_owned)),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5621, 5527, 5494, 5499])).
% 49.35/31.98 tff(5623,assumption,(node47(c_p0, s2)), introduced(assumption)).
% 49.35/31.98 tff(5624,plain,
% 49.35/31.98 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~node47(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~node47(c_p0, s2)))),
% 49.35/31.98 inference(rewrite,[status(thm)],[])).
% 49.35/31.98 tff(5625,plain,
% 49.35/31.98 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~node47(c_p0, s2)))),
% 49.35/31.98 inference(quant_inst,[status(thm)],[])).
% 49.35/31.98 tff(5626,plain,
% 49.35/31.98 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~node47(c_p0, s2))),
% 49.35/31.98 inference(modus_ponens,[status(thm)],[5625, 5624])).
% 49.35/31.98 tff(5627,plain,
% 49.35/31.98 ($false),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5626, 657, 5514, 5623])).
% 49.35/31.98 tff(5628,plain,((~node47(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.35/31.98 tff(5629,plain,
% 49.35/31.98 (~node47(c_p0, s2)),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5628, 5513])).
% 49.35/31.98 tff(5630,plain,
% 49.35/31.98 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~node53(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~node53(c_p0, s2, s3)))),
% 49.35/31.98 inference(rewrite,[status(thm)],[])).
% 49.35/31.98 tff(5631,plain,
% 49.35/31.98 ((m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | (~node53(c_p0, s2, s3))) <=> ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~node53(c_p0, s2, s3)))),
% 49.35/31.98 inference(rewrite,[status(thm)],[])).
% 49.35/31.98 tff(5632,plain,
% 49.35/31.98 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | (~node53(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~node53(c_p0, s2, s3))))),
% 49.35/31.98 inference(monotonicity,[status(thm)],[5631])).
% 49.35/31.98 tff(5633,plain,
% 49.35/31.98 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | (~node53(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~node53(c_p0, s2, s3)))),
% 49.35/31.98 inference(transitivity,[status(thm)],[5632, 5630])).
% 49.35/31.98 tff(5634,plain,
% 49.35/31.98 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | (~node53(c_p0, s2, s3)))),
% 49.35/31.98 inference(quant_inst,[status(thm)],[])).
% 49.35/31.98 tff(5635,plain,
% 49.35/31.98 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~node53(c_p0, s2, s3))),
% 49.35/31.98 inference(modus_ponens,[status(thm)],[5634, 5633])).
% 49.35/31.98 tff(5636,plain,
% 49.35/31.98 ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned))),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5635, 640, 5505])).
% 49.35/31.98 tff(5637,plain,
% 49.35/31.98 (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5636, 5629, 5501, 5499, 5500])).
% 49.35/31.98 tff(5638,plain,
% 49.35/31.98 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | (~m_main_v_CMD(s2, c_read_h_owned)) | (~node2(s2)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | (~m_main_v_CMD(s2, c_read_h_owned)) | (~node2(s2)))),
% 49.35/31.98 inference(rewrite,[status(thm)],[])).
% 49.35/31.98 tff(5639,plain,
% 49.35/31.98 (((~m_main_v_CMD(s2, c_read_h_owned)) | (~node2(s2)) | m_processor_v_CMD(c_p0, s2, c_read_h_owned)) <=> (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | (~m_main_v_CMD(s2, c_read_h_owned)) | (~node2(s2)))),
% 49.35/31.98 inference(rewrite,[status(thm)],[])).
% 49.35/31.98 tff(5640,plain,
% 49.35/31.98 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s2, c_read_h_owned)) | (~node2(s2)) | m_processor_v_CMD(c_p0, s2, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | (~m_main_v_CMD(s2, c_read_h_owned)) | (~node2(s2))))),
% 49.35/31.98 inference(monotonicity,[status(thm)],[5639])).
% 49.35/31.98 tff(5641,plain,
% 49.35/31.98 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s2, c_read_h_owned)) | (~node2(s2)) | m_processor_v_CMD(c_p0, s2, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | (~m_main_v_CMD(s2, c_read_h_owned)) | (~node2(s2)))),
% 49.35/31.98 inference(transitivity,[status(thm)],[5640, 5638])).
% 49.35/31.98 tff(5642,plain,
% 49.35/31.98 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s2, c_read_h_owned)) | (~node2(s2)) | m_processor_v_CMD(c_p0, s2, c_read_h_owned))),
% 49.35/31.98 inference(quant_inst,[status(thm)],[])).
% 49.35/31.98 tff(5643,plain,
% 49.35/31.98 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | (~m_main_v_CMD(s2, c_read_h_owned)) | (~node2(s2))),
% 49.35/31.98 inference(modus_ponens,[status(thm)],[5642, 5641])).
% 49.35/31.98 tff(5644,plain,
% 49.35/31.98 ($false),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5643, 1228, 5518, 5392, 2720])).
% 49.35/31.98 tff(5645,plain,((~m_main_v_CMD(s2, c_read_h_owned)) | m_processor_v_CMD(c_p0, s2, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.35/31.98 tff(5646,plain,
% 49.35/31.98 ($false),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5645, 5637, 5622])).
% 49.35/31.98 tff(5647,plain,((~m_processor_v_master(c_p0, s2)) | m_processor_v_waiting(c_p0, s3) | m_processor_v_abort(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 49.35/31.98 tff(5648,plain,
% 49.35/31.98 (m_processor_v_waiting(c_p0, s3)),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5647, 5498, 5422, 5492])).
% 49.35/31.98 tff(5649,plain,
% 49.35/31.98 (((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p0, s3)) | (~node56(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p0, s3)) | (~node56(c_p0, s3)))),
% 49.35/31.98 inference(rewrite,[status(thm)],[])).
% 49.35/31.98 tff(5650,plain,
% 49.35/31.98 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p0, s3)) | (~node56(c_p0, s3)))),
% 49.35/31.98 inference(quant_inst,[status(thm)],[])).
% 49.35/31.98 tff(5651,plain,
% 49.35/31.98 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p0, s3)) | (~node56(c_p0, s3))),
% 49.35/31.98 inference(modus_ponens,[status(thm)],[5650, 5649])).
% 49.35/31.98 tff(5652,plain,
% 49.35/31.98 ($false),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5651, 540, 2640, 5648])).
% 49.35/31.98 tff(5653,plain,((~node67(s3)) | (~m_processor_v_state(c_p1, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 49.35/31.98 tff(5654,plain,
% 49.35/31.98 (~m_processor_v_state(c_p1, s3, c_owned)),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5653, 2594])).
% 49.35/31.98 tff(5655,assumption,(node56(c_p1, s3)), introduced(assumption)).
% 49.35/31.98 tff(5656,assumption,(~m_processor_v_state(c_p1, s3, c_owned)), introduced(assumption)).
% 49.35/31.98 tff(5657,plain,
% 49.35/31.98 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | ((~node56(c_p1, s3)) | m_processor_v_state(c_p1, s3, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (~node56(c_p1, s3)) | m_processor_v_state(c_p1, s3, c_owned))),
% 49.35/31.98 inference(rewrite,[status(thm)],[])).
% 49.35/31.98 tff(5658,plain,
% 49.35/31.98 ((m_processor_v_state(c_p1, s3, c_owned) | (~node56(c_p1, s3))) <=> ((~node56(c_p1, s3)) | m_processor_v_state(c_p1, s3, c_owned))),
% 49.35/31.98 inference(rewrite,[status(thm)],[])).
% 49.35/31.98 tff(5659,plain,
% 49.35/31.98 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s3, c_owned) | (~node56(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | ((~node56(c_p1, s3)) | m_processor_v_state(c_p1, s3, c_owned)))),
% 49.35/31.98 inference(monotonicity,[status(thm)],[5658])).
% 49.35/31.98 tff(5660,plain,
% 49.35/31.98 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s3, c_owned) | (~node56(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (~node56(c_p1, s3)) | m_processor_v_state(c_p1, s3, c_owned))),
% 49.35/31.98 inference(transitivity,[status(thm)],[5659, 5657])).
% 49.35/31.98 tff(5661,plain,
% 49.35/31.98 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s3, c_owned) | (~node56(c_p1, s3)))),
% 49.35/31.98 inference(quant_inst,[status(thm)],[])).
% 49.35/31.98 tff(5662,plain,
% 49.35/31.98 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (~node56(c_p1, s3)) | m_processor_v_state(c_p1, s3, c_owned)),
% 49.35/31.98 inference(modus_ponens,[status(thm)],[5661, 5660])).
% 49.35/31.98 tff(5663,plain,
% 49.35/31.98 ($false),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5662, 13, 5656, 5655])).
% 49.35/31.98 tff(5664,plain,((~node56(c_p1, s3)) | m_processor_v_state(c_p1, s3, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.35/31.98 tff(5665,plain,
% 49.35/31.98 ($false),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5664, 2613, 5654])).
% 49.35/31.98 tff(5666,plain,(~node67(s3)), inference(lemma,lemma(discharge,[]))).
% 49.35/31.98 tff(5667,assumption,(~node67(s7)), introduced(assumption)).
% 49.35/31.98 tff(5668,assumption,(~node67(s6)), introduced(assumption)).
% 49.35/31.98 tff(5669,assumption,(~node67(s5)), introduced(assumption)).
% 49.35/31.98 tff(5670,assumption,(~node67(s4)), introduced(assumption)).
% 49.35/31.98 tff(5671,assumption,(~node67(s3)), introduced(assumption)).
% 49.35/31.98 tff(5672,assumption,(~m_processor_v_state(c_p1, s8, c_owned)), introduced(assumption)).
% 49.35/31.98 tff(5673,assumption,(node56(c_p1, s8)), introduced(assumption)).
% 49.35/31.98 tff(5674,plain,
% 49.35/31.98 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s8, c_owned) | (~node56(c_p1, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p1, s8, c_owned) | (~node56(c_p1, s8)))),
% 49.35/31.98 inference(rewrite,[status(thm)],[])).
% 49.35/31.98 tff(5675,plain,
% 49.35/31.98 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s8, c_owned) | (~node56(c_p1, s8)))),
% 49.35/31.98 inference(quant_inst,[status(thm)],[])).
% 49.35/31.98 tff(5676,plain,
% 49.35/31.98 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p1, s8, c_owned) | (~node56(c_p1, s8))),
% 49.35/31.98 inference(modus_ponens,[status(thm)],[5675, 5674])).
% 49.35/31.98 tff(5677,plain,
% 49.35/31.98 ($false),
% 49.35/31.98 inference(unit_resolution,[status(thm)],[5676, 13, 5672, 5673])).
% 49.35/31.98 tff(5678,plain,(m_processor_v_state(c_p1, s8, c_owned) | (~node56(c_p1, s8))), inference(lemma,lemma(discharge,[]))).
% 49.35/31.98 tff(5679,plain,
% 49.35/31.99 (~node56(c_p1, s8)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5678, 5672])).
% 49.35/31.99 tff(5680,assumption,(m_processor_v_writable(c_p1, s8)), introduced(assumption)).
% 49.35/31.99 tff(5681,assumption,(~node56(c_p1, s8)), introduced(assumption)).
% 49.35/31.99 tff(5682,plain,
% 49.35/31.99 (((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p1, s8)) | node56(c_p1, s8))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p1, s8)) | node56(c_p1, s8))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5683,plain,
% 49.35/31.99 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p1, s8)) | node56(c_p1, s8))),
% 49.35/31.99 inference(quant_inst,[status(thm)],[])).
% 49.35/31.99 tff(5684,plain,
% 49.35/31.99 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p1, s8)) | node56(c_p1, s8)),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5683, 5682])).
% 49.35/31.99 tff(5685,plain,
% 49.35/31.99 ($false),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5684, 28, 5681, 5680])).
% 49.35/31.99 tff(5686,plain,((~m_processor_v_writable(c_p1, s8)) | node56(c_p1, s8)), inference(lemma,lemma(discharge,[]))).
% 49.35/31.99 tff(5687,plain,
% 49.35/31.99 (~m_processor_v_writable(c_p1, s8)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5686, 5679])).
% 49.35/31.99 tff(5688,assumption,(~m_processor_v_writable(c_p1, s8)), introduced(assumption)).
% 49.35/31.99 tff(5689,assumption,(node67(s8)), introduced(assumption)).
% 49.35/31.99 tff(5690,plain,
% 49.35/31.99 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | ((~node67(s8)) | m_processor_v_writable(c_p1, s8))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (~node67(s8)) | m_processor_v_writable(c_p1, s8))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5691,plain,
% 49.35/31.99 ((m_processor_v_writable(c_p1, s8) | (~node67(s8))) <=> ((~node67(s8)) | m_processor_v_writable(c_p1, s8))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5692,plain,
% 49.35/31.99 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s8) | (~node67(s8)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | ((~node67(s8)) | m_processor_v_writable(c_p1, s8)))),
% 49.35/31.99 inference(monotonicity,[status(thm)],[5691])).
% 49.35/31.99 tff(5693,plain,
% 49.35/31.99 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s8) | (~node67(s8)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (~node67(s8)) | m_processor_v_writable(c_p1, s8))),
% 49.35/31.99 inference(transitivity,[status(thm)],[5692, 5690])).
% 49.35/31.99 tff(5694,plain,
% 49.35/31.99 ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s8) | (~node67(s8)))),
% 49.35/31.99 inference(quant_inst,[status(thm)],[])).
% 49.35/31.99 tff(5695,plain,
% 49.35/31.99 ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (~node67(s8)) | m_processor_v_writable(c_p1, s8)),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5694, 5693])).
% 49.35/31.99 tff(5696,plain,
% 49.35/31.99 ($false),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5695, 98, 5689, 5688])).
% 49.35/31.99 tff(5697,plain,((~node67(s8)) | m_processor_v_writable(c_p1, s8)), inference(lemma,lemma(discharge,[]))).
% 49.35/31.99 tff(5698,plain,
% 49.35/31.99 (~node67(s8)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5697, 5687])).
% 49.35/31.99 tff(5699,assumption,(node67(s2)), introduced(assumption)).
% 49.35/31.99 tff(5700,assumption,(~m_processor_v_writable(c_p1, s2)), introduced(assumption)).
% 49.35/31.99 tff(5701,plain,
% 49.35/31.99 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s2) | (~node67(s2)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | m_processor_v_writable(c_p1, s2) | (~node67(s2)))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5702,plain,
% 49.35/31.99 ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s2) | (~node67(s2)))),
% 49.35/31.99 inference(quant_inst,[status(thm)],[])).
% 49.35/31.99 tff(5703,plain,
% 49.35/31.99 ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | m_processor_v_writable(c_p1, s2) | (~node67(s2))),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5702, 5701])).
% 49.35/31.99 tff(5704,plain,
% 49.35/31.99 ($false),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5703, 98, 5700, 5699])).
% 49.35/31.99 tff(5705,plain,((~node67(s2)) | m_processor_v_writable(c_p1, s2)), inference(lemma,lemma(discharge,[]))).
% 49.35/31.99 tff(5706,plain,
% 49.35/31.99 (m_processor_v_writable(c_p1, s2)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5705, 5699])).
% 49.35/31.99 tff(5707,assumption,(m_processor_v_writable(c_p1, s2)), introduced(assumption)).
% 49.35/31.99 tff(5708,assumption,(~node56(c_p1, s2)), introduced(assumption)).
% 49.35/31.99 tff(5709,plain,
% 49.35/31.99 (((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p1, s2)) | node56(c_p1, s2))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p1, s2)) | node56(c_p1, s2))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5710,plain,
% 49.35/31.99 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p1, s2)) | node56(c_p1, s2))),
% 49.35/31.99 inference(quant_inst,[status(thm)],[])).
% 49.35/31.99 tff(5711,plain,
% 49.35/31.99 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p1, s2)) | node56(c_p1, s2)),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5710, 5709])).
% 49.35/31.99 tff(5712,plain,
% 49.35/31.99 ($false),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5711, 28, 5708, 5707])).
% 49.35/31.99 tff(5713,plain,((~m_processor_v_writable(c_p1, s2)) | node56(c_p1, s2)), inference(lemma,lemma(discharge,[]))).
% 49.35/31.99 tff(5714,plain,
% 49.35/31.99 (node56(c_p1, s2)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5713, 5706])).
% 49.35/31.99 tff(5715,assumption,(node56(c_p1, s2)), introduced(assumption)).
% 49.35/31.99 tff(5716,plain,
% 49.35/31.99 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | ((~node56(c_p1, s2)) | m_processor_v_state(c_p1, s2, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (~node56(c_p1, s2)) | m_processor_v_state(c_p1, s2, c_owned))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5717,plain,
% 49.35/31.99 ((m_processor_v_state(c_p1, s2, c_owned) | (~node56(c_p1, s2))) <=> ((~node56(c_p1, s2)) | m_processor_v_state(c_p1, s2, c_owned))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5718,plain,
% 49.35/31.99 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s2, c_owned) | (~node56(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | ((~node56(c_p1, s2)) | m_processor_v_state(c_p1, s2, c_owned)))),
% 49.35/31.99 inference(monotonicity,[status(thm)],[5717])).
% 49.35/31.99 tff(5719,plain,
% 49.35/31.99 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s2, c_owned) | (~node56(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (~node56(c_p1, s2)) | m_processor_v_state(c_p1, s2, c_owned))),
% 49.35/31.99 inference(transitivity,[status(thm)],[5718, 5716])).
% 49.35/31.99 tff(5720,plain,
% 49.35/31.99 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s2, c_owned) | (~node56(c_p1, s2)))),
% 49.35/31.99 inference(quant_inst,[status(thm)],[])).
% 49.35/31.99 tff(5721,plain,
% 49.35/31.99 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (~node56(c_p1, s2)) | m_processor_v_state(c_p1, s2, c_owned)),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5720, 5719])).
% 49.35/31.99 tff(5722,plain,
% 49.35/31.99 ($false),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5721, 13, 3112, 5715])).
% 49.35/31.99 tff(5723,plain,((~node56(c_p1, s2)) | m_processor_v_state(c_p1, s2, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.35/31.99 tff(5724,plain,
% 49.35/31.99 (m_processor_v_state(c_p1, s2, c_owned)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5723, 5714])).
% 49.35/31.99 tff(5725,plain,
% 49.35/31.99 (((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s2) | (~node67(s2)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | m_processor_v_writable(c_p0, s2) | (~node67(s2)))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5726,plain,
% 49.35/31.99 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s2) | (~node67(s2)))),
% 49.35/31.99 inference(quant_inst,[status(thm)],[])).
% 49.35/31.99 tff(5727,plain,
% 49.35/31.99 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | m_processor_v_writable(c_p0, s2) | (~node67(s2))),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5726, 5725])).
% 49.35/31.99 tff(5728,plain,
% 49.35/31.99 (m_processor_v_writable(c_p0, s2)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5727, 43, 5699])).
% 49.35/31.99 tff(5729,assumption,(m_processor_v_writable(c_p0, s2)), introduced(assumption)).
% 49.35/31.99 tff(5730,assumption,(~node56(c_p0, s2)), introduced(assumption)).
% 49.35/31.99 tff(5731,plain,
% 49.35/31.99 (((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s2)) | node56(c_p0, s2))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s2)) | node56(c_p0, s2))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5732,plain,
% 49.35/31.99 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s2)) | node56(c_p0, s2))),
% 49.35/31.99 inference(quant_inst,[status(thm)],[])).
% 49.35/31.99 tff(5733,plain,
% 49.35/31.99 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s2)) | node56(c_p0, s2)),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5732, 5731])).
% 49.35/31.99 tff(5734,plain,
% 49.35/31.99 ($false),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5733, 28, 5730, 5729])).
% 49.35/31.99 tff(5735,plain,((~m_processor_v_writable(c_p0, s2)) | node56(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 49.35/31.99 tff(5736,plain,
% 49.35/31.99 (node56(c_p0, s2)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5735, 5728])).
% 49.35/31.99 tff(5737,assumption,(node56(c_p0, s2)), introduced(assumption)).
% 49.35/31.99 tff(5738,plain,
% 49.35/31.99 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s2, c_owned) | (~node56(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p0, s2, c_owned) | (~node56(c_p0, s2)))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5739,plain,
% 49.35/31.99 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s2, c_owned) | (~node56(c_p0, s2)))),
% 49.35/31.99 inference(quant_inst,[status(thm)],[])).
% 49.35/31.99 tff(5740,plain,
% 49.35/31.99 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p0, s2, c_owned) | (~node56(c_p0, s2))),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5739, 5738])).
% 49.35/31.99 tff(5741,plain,
% 49.35/31.99 ($false),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5740, 13, 2667, 5737])).
% 49.35/31.99 tff(5742,plain,((~node56(c_p0, s2)) | m_processor_v_state(c_p0, s2, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.35/31.99 tff(5743,plain,
% 49.35/31.99 (m_processor_v_state(c_p0, s2, c_owned)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5742, 5736])).
% 49.35/31.99 tff(5744,plain,
% 49.35/31.99 (~m_processor_v_state(c_p0, s2, c_invalid)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[2779, 137, 5743])).
% 49.35/31.99 tff(5745,plain,
% 49.35/31.99 (~m_processor_v_state(c_p1, s2, c_invalid)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5488, 137, 5724])).
% 49.35/31.99 tff(5746,plain,
% 49.35/31.99 ($false),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5047, 5745, 5744, 5724])).
% 49.35/31.99 tff(5747,plain,(~node67(s2)), inference(lemma,lemma(discharge,[]))).
% 49.35/31.99 tff(5748,assumption,(node67(s1)), introduced(assumption)).
% 49.35/31.99 tff(5749,plain,
% 49.35/31.99 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | ((~node67(s1)) | m_processor_v_writable(c_p1, s1))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (~node67(s1)) | m_processor_v_writable(c_p1, s1))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5750,plain,
% 49.35/31.99 ((m_processor_v_writable(c_p1, s1) | (~node67(s1))) <=> ((~node67(s1)) | m_processor_v_writable(c_p1, s1))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5751,plain,
% 49.35/31.99 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s1) | (~node67(s1)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | ((~node67(s1)) | m_processor_v_writable(c_p1, s1)))),
% 49.35/31.99 inference(monotonicity,[status(thm)],[5750])).
% 49.35/31.99 tff(5752,plain,
% 49.35/31.99 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s1) | (~node67(s1)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (~node67(s1)) | m_processor_v_writable(c_p1, s1))),
% 49.35/31.99 inference(transitivity,[status(thm)],[5751, 5749])).
% 49.35/31.99 tff(5753,plain,
% 49.35/31.99 ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s1) | (~node67(s1)))),
% 49.35/31.99 inference(quant_inst,[status(thm)],[])).
% 49.35/31.99 tff(5754,plain,
% 49.35/31.99 ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (~node67(s1)) | m_processor_v_writable(c_p1, s1)),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5753, 5752])).
% 49.35/31.99 tff(5755,plain,
% 49.35/31.99 (m_processor_v_writable(c_p1, s1)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5754, 98, 5748])).
% 49.35/31.99 tff(5756,plain,
% 49.35/31.99 (((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p1, s1)) | node56(c_p1, s1))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p1, s1)) | node56(c_p1, s1))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5757,plain,
% 49.35/31.99 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p1, s1)) | node56(c_p1, s1))),
% 49.35/31.99 inference(quant_inst,[status(thm)],[])).
% 49.35/31.99 tff(5758,plain,
% 49.35/31.99 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p1, s1)) | node56(c_p1, s1)),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5757, 5756])).
% 49.35/31.99 tff(5759,plain,
% 49.35/31.99 (node56(c_p1, s1)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5758, 28, 5755])).
% 49.35/31.99 tff(5760,plain,
% 49.35/31.99 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s1, c_owned) | (~node56(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p1, s1, c_owned) | (~node56(c_p1, s1)))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5761,plain,
% 49.35/31.99 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s1, c_owned) | (~node56(c_p1, s1)))),
% 49.35/31.99 inference(quant_inst,[status(thm)],[])).
% 49.35/31.99 tff(5762,plain,
% 49.35/31.99 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p1, s1, c_owned) | (~node56(c_p1, s1))),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5761, 5760])).
% 49.35/31.99 tff(5763,plain,
% 49.35/31.99 (m_processor_v_state(c_p1, s1, c_owned)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5762, 13, 5759])).
% 49.35/31.99 tff(5764,plain,
% 49.35/31.99 (~m_processor_v_state(c_p1, s1, c_invalid)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[3153, 5763])).
% 49.35/31.99 tff(5765,plain,
% 49.35/31.99 (m_processor_v_master(c_p1, s0)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[3102, 5764])).
% 49.35/31.99 tff(5766,plain,
% 49.35/31.99 (~m_processor_v_master(c_p0, s0)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[2974, 5765])).
% 49.35/31.99 tff(5767,plain,
% 49.35/31.99 (m_processor_v_state(c_p0, s1, c_invalid)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[2846, 5766])).
% 49.35/31.99 tff(5768,plain,
% 49.35/31.99 (((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s1) | (~node67(s1)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | m_processor_v_writable(c_p0, s1) | (~node67(s1)))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5769,plain,
% 49.35/31.99 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s1) | (~node67(s1)))),
% 49.35/31.99 inference(quant_inst,[status(thm)],[])).
% 49.35/31.99 tff(5770,plain,
% 49.35/31.99 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | m_processor_v_writable(c_p0, s1) | (~node67(s1))),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5769, 5768])).
% 49.35/31.99 tff(5771,plain,
% 49.35/31.99 (m_processor_v_writable(c_p0, s1)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5770, 43, 5748])).
% 49.35/31.99 tff(5772,plain,
% 49.35/31.99 (((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s1)) | node56(c_p0, s1))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s1)) | node56(c_p0, s1))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5773,plain,
% 49.35/31.99 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s1)) | node56(c_p0, s1))),
% 49.35/31.99 inference(quant_inst,[status(thm)],[])).
% 49.35/31.99 tff(5774,plain,
% 49.35/31.99 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s1)) | node56(c_p0, s1)),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5773, 5772])).
% 49.35/31.99 tff(5775,plain,
% 49.35/31.99 (node56(c_p0, s1)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5774, 28, 5771])).
% 49.35/31.99 tff(5776,plain,
% 49.35/31.99 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s1, c_owned) | (~node56(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p0, s1, c_owned) | (~node56(c_p0, s1)))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5777,plain,
% 49.35/31.99 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s1, c_owned) | (~node56(c_p0, s1)))),
% 49.35/31.99 inference(quant_inst,[status(thm)],[])).
% 49.35/31.99 tff(5778,plain,
% 49.35/31.99 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p0, s1, c_owned) | (~node56(c_p0, s1))),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5777, 5776])).
% 49.35/31.99 tff(5779,plain,
% 49.35/31.99 (m_processor_v_state(c_p0, s1, c_owned)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5778, 13, 5775])).
% 49.35/31.99 tff(5780,plain,
% 49.35/31.99 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s1, c_invalid)) | (~m_processor_v_state(c_p0, s1, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s1, c_invalid)) | (~m_processor_v_state(c_p0, s1, c_owned)))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5781,plain,
% 49.35/31.99 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s1, c_invalid)) | (~m_processor_v_state(c_p0, s1, c_owned)))),
% 49.35/31.99 inference(quant_inst,[status(thm)],[])).
% 49.35/31.99 tff(5782,plain,
% 49.35/31.99 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s1, c_invalid)) | (~m_processor_v_state(c_p0, s1, c_owned))),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5781, 5780])).
% 49.35/31.99 tff(5783,plain,
% 49.35/31.99 ($false),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5782, 137, 5779, 5767])).
% 49.35/31.99 tff(5784,plain,(~node67(s1)), inference(lemma,lemma(discharge,[]))).
% 49.35/31.99 tff(5785,assumption,(~node67(s2)), introduced(assumption)).
% 49.35/31.99 tff(5786,assumption,(~node67(s1)), introduced(assumption)).
% 49.35/31.99 tff(5787,plain,
% 49.35/31.99 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node56(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p0, s0, c_owned) | (~node56(c_p0, s0)))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5788,plain,
% 49.35/31.99 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node56(c_p0, s0)))),
% 49.35/31.99 inference(quant_inst,[status(thm)],[])).
% 49.35/31.99 tff(5789,plain,
% 49.35/31.99 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p0, s0, c_owned) | (~node56(c_p0, s0))),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5788, 5787])).
% 49.35/31.99 tff(5790,plain,
% 49.35/31.99 (~node56(c_p0, s0)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5789, 13, 4138])).
% 49.35/31.99 tff(5791,plain,
% 49.35/31.99 (((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s0)) | node56(c_p0, s0))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s0)) | node56(c_p0, s0))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5792,plain,
% 49.35/31.99 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s0)) | node56(c_p0, s0))),
% 49.35/31.99 inference(quant_inst,[status(thm)],[])).
% 49.35/31.99 tff(5793,plain,
% 49.35/31.99 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s0)) | node56(c_p0, s0)),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5792, 5791])).
% 49.35/31.99 tff(5794,plain,
% 49.35/31.99 (~m_processor_v_writable(c_p0, s0)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5793, 28, 5790])).
% 49.35/31.99 tff(5795,plain,
% 49.35/31.99 (((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s0) | (~node67(s0)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | m_processor_v_writable(c_p0, s0) | (~node67(s0)))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5796,plain,
% 49.35/31.99 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s0) | (~node67(s0)))),
% 49.35/31.99 inference(quant_inst,[status(thm)],[])).
% 49.35/31.99 tff(5797,plain,
% 49.35/31.99 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | m_processor_v_writable(c_p0, s0) | (~node67(s0))),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5796, 5795])).
% 49.35/31.99 tff(5798,plain,
% 49.35/31.99 (~node67(s0)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5797, 43, 5794])).
% 49.35/31.99 tff(5799,plain,
% 49.35/31.99 (until68(s0) <=> until68(s0)),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5800,axiom,(until68(s0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty10')).
% 49.35/31.99 tff(5801,plain,
% 49.35/31.99 (until68(s0)),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5800, 5799])).
% 49.35/31.99 tff(5802,plain,
% 49.35/31.99 (^[X: $i] : refl((node67(X) | (~until68(X)) | xuntil69(X)) <=> (node67(X) | (~until68(X)) | xuntil69(X)))),
% 49.35/31.99 inference(bind,[status(th)],[])).
% 49.35/31.99 tff(5803,plain,
% 49.35/31.99 (![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X)) <=> ![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))),
% 49.35/31.99 inference(quant_intro,[status(thm)],[5802])).
% 49.35/31.99 tff(5804,plain,
% 49.35/31.99 (![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X)) <=> ![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5805,plain,
% 49.35/31.99 (^[X: $i] : rewrite(((node67(X) | xuntil69(X)) | (~until68(X))) <=> (node67(X) | (~until68(X)) | xuntil69(X)))),
% 49.35/31.99 inference(bind,[status(th)],[])).
% 49.35/31.99 tff(5806,plain,
% 49.35/31.99 (![X: $i] : ((node67(X) | xuntil69(X)) | (~until68(X))) <=> ![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))),
% 49.35/31.99 inference(quant_intro,[status(thm)],[5805])).
% 49.35/31.99 tff(5807,axiom,(![X: $i] : ((node67(X) | xuntil69(X)) | (~until68(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty3')).
% 49.35/31.99 tff(5808,plain,
% 49.35/31.99 (![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5807, 5806])).
% 49.35/31.99 tff(5809,plain,
% 49.35/31.99 (![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5808, 5804])).
% 49.35/31.99 tff(5810,plain,(
% 49.35/31.99 ![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))),
% 49.35/31.99 inference(skolemize,[status(sab)],[5809])).
% 49.35/31.99 tff(5811,plain,
% 49.35/31.99 (![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5810, 5803])).
% 49.35/31.99 tff(5812,plain,
% 49.35/31.99 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s0) | node67(s0) | (~until68(s0)))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s0) | node67(s0) | (~until68(s0)))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5813,plain,
% 49.35/31.99 ((node67(s0) | (~until68(s0)) | xuntil69(s0)) <=> (xuntil69(s0) | node67(s0) | (~until68(s0)))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5814,plain,
% 49.35/31.99 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s0) | (~until68(s0)) | xuntil69(s0))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s0) | node67(s0) | (~until68(s0))))),
% 49.35/31.99 inference(monotonicity,[status(thm)],[5813])).
% 49.35/31.99 tff(5815,plain,
% 49.35/31.99 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s0) | (~until68(s0)) | xuntil69(s0))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s0) | node67(s0) | (~until68(s0)))),
% 49.35/31.99 inference(transitivity,[status(thm)],[5814, 5812])).
% 49.35/31.99 tff(5816,plain,
% 49.35/31.99 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s0) | (~until68(s0)) | xuntil69(s0))),
% 49.35/31.99 inference(quant_inst,[status(thm)],[])).
% 49.35/31.99 tff(5817,plain,
% 49.35/31.99 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s0) | node67(s0) | (~until68(s0))),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5816, 5815])).
% 49.35/31.99 tff(5818,plain,
% 49.35/31.99 (xuntil69(s0) | node67(s0)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5817, 5811, 5801])).
% 49.35/31.99 tff(5819,plain,
% 49.35/31.99 (xuntil69(s0)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5818, 5798])).
% 49.35/31.99 tff(5820,plain,
% 49.35/31.99 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | (~xuntil69(X)) | until68(Y)) <=> ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y)))),
% 49.35/31.99 inference(bind,[status(th)],[])).
% 49.35/31.99 tff(5821,plain,
% 49.35/31.99 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))),
% 49.35/31.99 inference(quant_intro,[status(thm)],[5820])).
% 49.35/31.99 tff(5822,plain,
% 49.35/31.99 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y)) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5823,plain,
% 49.35/31.99 (^[Y: $i, X: $i] : rewrite(((until68(Y) | (~succ(X, Y))) | (~xuntil69(X))) <=> ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y)))),
% 49.35/31.99 inference(bind,[status(th)],[])).
% 49.35/31.99 tff(5824,plain,
% 49.35/31.99 (![Y: $i, X: $i] : ((until68(Y) | (~succ(X, Y))) | (~xuntil69(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))),
% 49.35/31.99 inference(quant_intro,[status(thm)],[5823])).
% 49.35/31.99 tff(5825,axiom,(![Y: $i, X: $i] : ((until68(Y) | (~succ(X, Y))) | (~xuntil69(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty4')).
% 49.35/31.99 tff(5826,plain,
% 49.35/31.99 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5825, 5824])).
% 49.35/31.99 tff(5827,plain,
% 49.35/31.99 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5826, 5822])).
% 49.35/31.99 tff(5828,plain,(
% 49.35/31.99 ![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))),
% 49.35/31.99 inference(skolemize,[status(sab)],[5827])).
% 49.35/31.99 tff(5829,plain,
% 49.35/31.99 (![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5828, 5821])).
% 49.35/31.99 tff(5830,plain,
% 49.35/31.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | ((~succ(s0, s1)) | (~xuntil69(s0)) | until68(s1))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | (~succ(s0, s1)) | (~xuntil69(s0)) | until68(s1))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5831,plain,
% 49.35/31.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | ((~succ(s0, s1)) | (~xuntil69(s0)) | until68(s1))),
% 49.35/31.99 inference(quant_inst,[status(thm)],[])).
% 49.35/31.99 tff(5832,plain,
% 49.35/31.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | (~succ(s0, s1)) | (~xuntil69(s0)) | until68(s1)),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5831, 5830])).
% 49.35/31.99 tff(5833,plain,
% 49.35/31.99 ((~xuntil69(s0)) | until68(s1)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5832, 2807, 5829])).
% 49.35/31.99 tff(5834,plain,
% 49.35/31.99 (until68(s1)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5833, 5819])).
% 49.35/31.99 tff(5835,plain,
% 49.35/31.99 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s1) | node67(s1) | (~until68(s1)))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s1) | node67(s1) | (~until68(s1)))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5836,plain,
% 49.35/31.99 ((node67(s1) | (~until68(s1)) | xuntil69(s1)) <=> (xuntil69(s1) | node67(s1) | (~until68(s1)))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5837,plain,
% 49.35/31.99 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s1) | (~until68(s1)) | xuntil69(s1))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s1) | node67(s1) | (~until68(s1))))),
% 49.35/31.99 inference(monotonicity,[status(thm)],[5836])).
% 49.35/31.99 tff(5838,plain,
% 49.35/31.99 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s1) | (~until68(s1)) | xuntil69(s1))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s1) | node67(s1) | (~until68(s1)))),
% 49.35/31.99 inference(transitivity,[status(thm)],[5837, 5835])).
% 49.35/31.99 tff(5839,plain,
% 49.35/31.99 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s1) | (~until68(s1)) | xuntil69(s1))),
% 49.35/31.99 inference(quant_inst,[status(thm)],[])).
% 49.35/31.99 tff(5840,plain,
% 49.35/31.99 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s1) | node67(s1) | (~until68(s1))),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5839, 5838])).
% 49.35/31.99 tff(5841,plain,
% 49.35/31.99 (xuntil69(s1) | node67(s1)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5840, 5811, 5834])).
% 49.35/31.99 tff(5842,plain,
% 49.35/31.99 (xuntil69(s1)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5841, 5786])).
% 49.35/31.99 tff(5843,plain,
% 49.35/31.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | ((~succ(s1, s2)) | (~xuntil69(s1)) | until68(s2))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | (~succ(s1, s2)) | (~xuntil69(s1)) | until68(s2))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5844,plain,
% 49.35/31.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | ((~succ(s1, s2)) | (~xuntil69(s1)) | until68(s2))),
% 49.35/31.99 inference(quant_inst,[status(thm)],[])).
% 49.35/31.99 tff(5845,plain,
% 49.35/31.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | (~succ(s1, s2)) | (~xuntil69(s1)) | until68(s2)),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5844, 5843])).
% 49.35/31.99 tff(5846,plain,
% 49.35/31.99 ((~xuntil69(s1)) | until68(s2)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5845, 3132, 5829])).
% 49.35/31.99 tff(5847,plain,
% 49.35/31.99 (until68(s2)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5846, 5842])).
% 49.35/31.99 tff(5848,plain,
% 49.35/31.99 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s2) | node67(s2) | (~until68(s2)))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s2) | node67(s2) | (~until68(s2)))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5849,plain,
% 49.35/31.99 ((node67(s2) | (~until68(s2)) | xuntil69(s2)) <=> (xuntil69(s2) | node67(s2) | (~until68(s2)))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5850,plain,
% 49.35/31.99 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s2) | (~until68(s2)) | xuntil69(s2))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s2) | node67(s2) | (~until68(s2))))),
% 49.35/31.99 inference(monotonicity,[status(thm)],[5849])).
% 49.35/31.99 tff(5851,plain,
% 49.35/31.99 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s2) | (~until68(s2)) | xuntil69(s2))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s2) | node67(s2) | (~until68(s2)))),
% 49.35/31.99 inference(transitivity,[status(thm)],[5850, 5848])).
% 49.35/31.99 tff(5852,plain,
% 49.35/31.99 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s2) | (~until68(s2)) | xuntil69(s2))),
% 49.35/31.99 inference(quant_inst,[status(thm)],[])).
% 49.35/31.99 tff(5853,plain,
% 49.35/31.99 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s2) | node67(s2) | (~until68(s2))),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5852, 5851])).
% 49.35/31.99 tff(5854,plain,
% 49.35/31.99 (xuntil69(s2) | node67(s2)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5853, 5811, 5847])).
% 49.35/31.99 tff(5855,plain,
% 49.35/31.99 (xuntil69(s2)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5854, 5785])).
% 49.35/31.99 tff(5856,plain,
% 49.35/31.99 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | ((~succ(s2, s3)) | (~xuntil69(s2)) | until68(s3))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | (~succ(s2, s3)) | (~xuntil69(s2)) | until68(s3))),
% 49.35/31.99 inference(rewrite,[status(thm)],[])).
% 49.35/31.99 tff(5857,plain,
% 49.35/31.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | ((~succ(s2, s3)) | (~xuntil69(s2)) | until68(s3))),
% 49.35/31.99 inference(quant_inst,[status(thm)],[])).
% 49.35/31.99 tff(5858,plain,
% 49.35/31.99 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | (~succ(s2, s3)) | (~xuntil69(s2)) | until68(s3)),
% 49.35/31.99 inference(modus_ponens,[status(thm)],[5857, 5856])).
% 49.35/31.99 tff(5859,plain,
% 49.35/31.99 ((~xuntil69(s2)) | until68(s3)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5858, 2680, 5829])).
% 49.35/31.99 tff(5860,plain,
% 49.35/31.99 (until68(s3)),
% 49.35/31.99 inference(unit_resolution,[status(thm)],[5859, 5855])).
% 49.35/31.99 tff(5861,plain,
% 49.35/31.99 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s3) | node67(s3) | (~until68(s3)))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s3) | node67(s3) | (~until68(s3)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5862,plain,
% 49.35/32.00 ((node67(s3) | (~until68(s3)) | xuntil69(s3)) <=> (xuntil69(s3) | node67(s3) | (~until68(s3)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5863,plain,
% 49.35/32.00 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s3) | (~until68(s3)) | xuntil69(s3))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s3) | node67(s3) | (~until68(s3))))),
% 49.35/32.00 inference(monotonicity,[status(thm)],[5862])).
% 49.35/32.00 tff(5864,plain,
% 49.35/32.00 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s3) | (~until68(s3)) | xuntil69(s3))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s3) | node67(s3) | (~until68(s3)))),
% 49.35/32.00 inference(transitivity,[status(thm)],[5863, 5861])).
% 49.35/32.00 tff(5865,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s3) | (~until68(s3)) | xuntil69(s3))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(5866,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s3) | node67(s3) | (~until68(s3))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[5865, 5864])).
% 49.35/32.00 tff(5867,plain,
% 49.35/32.00 (xuntil69(s3) | (~until68(s3))),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5866, 5811, 5671])).
% 49.35/32.00 tff(5868,plain,
% 49.35/32.00 (xuntil69(s3)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5867, 5860])).
% 49.35/32.00 tff(5869,plain,
% 49.35/32.00 (succ(s3, s4) <=> succ(s3, s4)),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5870,axiom,(succ(s3, s4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound4')).
% 49.35/32.00 tff(5871,plain,
% 49.35/32.00 (succ(s3, s4)),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[5870, 5869])).
% 49.35/32.00 tff(5872,plain,
% 49.35/32.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | ((~succ(s3, s4)) | (~xuntil69(s3)) | until68(s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | (~succ(s3, s4)) | (~xuntil69(s3)) | until68(s4))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5873,plain,
% 49.35/32.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | ((~succ(s3, s4)) | (~xuntil69(s3)) | until68(s4))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(5874,plain,
% 49.35/32.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | (~succ(s3, s4)) | (~xuntil69(s3)) | until68(s4)),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[5873, 5872])).
% 49.35/32.00 tff(5875,plain,
% 49.35/32.00 ((~xuntil69(s3)) | until68(s4)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5874, 5871, 5829])).
% 49.35/32.00 tff(5876,plain,
% 49.35/32.00 (until68(s4)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5875, 5868])).
% 49.35/32.00 tff(5877,plain,
% 49.35/32.00 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s4) | node67(s4) | (~until68(s4)))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s4) | node67(s4) | (~until68(s4)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5878,plain,
% 49.35/32.00 ((node67(s4) | (~until68(s4)) | xuntil69(s4)) <=> (xuntil69(s4) | node67(s4) | (~until68(s4)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5879,plain,
% 49.35/32.00 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s4) | (~until68(s4)) | xuntil69(s4))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s4) | node67(s4) | (~until68(s4))))),
% 49.35/32.00 inference(monotonicity,[status(thm)],[5878])).
% 49.35/32.00 tff(5880,plain,
% 49.35/32.00 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s4) | (~until68(s4)) | xuntil69(s4))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s4) | node67(s4) | (~until68(s4)))),
% 49.35/32.00 inference(transitivity,[status(thm)],[5879, 5877])).
% 49.35/32.00 tff(5881,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s4) | (~until68(s4)) | xuntil69(s4))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(5882,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s4) | node67(s4) | (~until68(s4))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[5881, 5880])).
% 49.35/32.00 tff(5883,plain,
% 49.35/32.00 (xuntil69(s4) | (~until68(s4))),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5882, 5811, 5670])).
% 49.35/32.00 tff(5884,plain,
% 49.35/32.00 (xuntil69(s4)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5883, 5876])).
% 49.35/32.00 tff(5885,plain,
% 49.35/32.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | ((~succ(s4, s5)) | (~xuntil69(s4)) | until68(s5))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | (~succ(s4, s5)) | (~xuntil69(s4)) | until68(s5))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5886,plain,
% 49.35/32.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | ((~succ(s4, s5)) | (~xuntil69(s4)) | until68(s5))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(5887,plain,
% 49.35/32.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | (~succ(s4, s5)) | (~xuntil69(s4)) | until68(s5)),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[5886, 5885])).
% 49.35/32.00 tff(5888,plain,
% 49.35/32.00 ((~xuntil69(s4)) | until68(s5)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5887, 1108, 5829])).
% 49.35/32.00 tff(5889,plain,
% 49.35/32.00 (until68(s5)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5888, 5884])).
% 49.35/32.00 tff(5890,plain,
% 49.35/32.00 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s5) | node67(s5) | (~until68(s5)))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s5) | node67(s5) | (~until68(s5)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5891,plain,
% 49.35/32.00 ((node67(s5) | (~until68(s5)) | xuntil69(s5)) <=> (xuntil69(s5) | node67(s5) | (~until68(s5)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5892,plain,
% 49.35/32.00 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s5) | (~until68(s5)) | xuntil69(s5))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s5) | node67(s5) | (~until68(s5))))),
% 49.35/32.00 inference(monotonicity,[status(thm)],[5891])).
% 49.35/32.00 tff(5893,plain,
% 49.35/32.00 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s5) | (~until68(s5)) | xuntil69(s5))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s5) | node67(s5) | (~until68(s5)))),
% 49.35/32.00 inference(transitivity,[status(thm)],[5892, 5890])).
% 49.35/32.00 tff(5894,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s5) | (~until68(s5)) | xuntil69(s5))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(5895,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s5) | node67(s5) | (~until68(s5))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[5894, 5893])).
% 49.35/32.00 tff(5896,plain,
% 49.35/32.00 (xuntil69(s5) | (~until68(s5))),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5895, 5811, 5669])).
% 49.35/32.00 tff(5897,plain,
% 49.35/32.00 (xuntil69(s5)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5896, 5889])).
% 49.35/32.00 tff(5898,plain,
% 49.35/32.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | ((~succ(s5, s6)) | (~xuntil69(s5)) | until68(s6))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | (~succ(s5, s6)) | (~xuntil69(s5)) | until68(s6))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5899,plain,
% 49.35/32.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | ((~succ(s5, s6)) | (~xuntil69(s5)) | until68(s6))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(5900,plain,
% 49.35/32.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | (~succ(s5, s6)) | (~xuntil69(s5)) | until68(s6)),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[5899, 5898])).
% 49.35/32.00 tff(5901,plain,
% 49.35/32.00 ((~xuntil69(s5)) | until68(s6)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5900, 199, 5829])).
% 49.35/32.00 tff(5902,plain,
% 49.35/32.00 (until68(s6)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5901, 5897])).
% 49.35/32.00 tff(5903,plain,
% 49.35/32.00 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s6) | node67(s6) | (~until68(s6)))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s6) | node67(s6) | (~until68(s6)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5904,plain,
% 49.35/32.00 ((node67(s6) | (~until68(s6)) | xuntil69(s6)) <=> (xuntil69(s6) | node67(s6) | (~until68(s6)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5905,plain,
% 49.35/32.00 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s6) | (~until68(s6)) | xuntil69(s6))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s6) | node67(s6) | (~until68(s6))))),
% 49.35/32.00 inference(monotonicity,[status(thm)],[5904])).
% 49.35/32.00 tff(5906,plain,
% 49.35/32.00 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s6) | (~until68(s6)) | xuntil69(s6))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s6) | node67(s6) | (~until68(s6)))),
% 49.35/32.00 inference(transitivity,[status(thm)],[5905, 5903])).
% 49.35/32.00 tff(5907,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s6) | (~until68(s6)) | xuntil69(s6))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(5908,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s6) | node67(s6) | (~until68(s6))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[5907, 5906])).
% 49.35/32.00 tff(5909,plain,
% 49.35/32.00 (xuntil69(s6) | (~until68(s6))),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5908, 5811, 5668])).
% 49.35/32.00 tff(5910,plain,
% 49.35/32.00 (xuntil69(s6)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5909, 5902])).
% 49.35/32.00 tff(5911,plain,
% 49.35/32.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | ((~succ(s6, s7)) | (~xuntil69(s6)) | until68(s7))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | (~succ(s6, s7)) | (~xuntil69(s6)) | until68(s7))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5912,plain,
% 49.35/32.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | ((~succ(s6, s7)) | (~xuntil69(s6)) | until68(s7))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(5913,plain,
% 49.35/32.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | (~succ(s6, s7)) | (~xuntil69(s6)) | until68(s7)),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[5912, 5911])).
% 49.35/32.00 tff(5914,plain,
% 49.35/32.00 ((~xuntil69(s6)) | until68(s7)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5913, 2340, 5829])).
% 49.35/32.00 tff(5915,plain,
% 49.35/32.00 (until68(s7)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5914, 5910])).
% 49.35/32.00 tff(5916,plain,
% 49.35/32.00 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s7) | node67(s7) | (~until68(s7)))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s7) | node67(s7) | (~until68(s7)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5917,plain,
% 49.35/32.00 ((node67(s7) | (~until68(s7)) | xuntil69(s7)) <=> (xuntil69(s7) | node67(s7) | (~until68(s7)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5918,plain,
% 49.35/32.00 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s7) | (~until68(s7)) | xuntil69(s7))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s7) | node67(s7) | (~until68(s7))))),
% 49.35/32.00 inference(monotonicity,[status(thm)],[5917])).
% 49.35/32.00 tff(5919,plain,
% 49.35/32.00 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s7) | (~until68(s7)) | xuntil69(s7))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s7) | node67(s7) | (~until68(s7)))),
% 49.35/32.00 inference(transitivity,[status(thm)],[5918, 5916])).
% 49.35/32.00 tff(5920,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s7) | (~until68(s7)) | xuntil69(s7))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(5921,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s7) | node67(s7) | (~until68(s7))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[5920, 5919])).
% 49.35/32.00 tff(5922,plain,
% 49.35/32.00 (xuntil69(s7) | (~until68(s7))),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5921, 5811, 5667])).
% 49.35/32.00 tff(5923,plain,
% 49.35/32.00 (xuntil69(s7)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5922, 5915])).
% 49.35/32.00 tff(5924,plain,
% 49.35/32.00 (succ(s7, s8) <=> succ(s7, s8)),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5925,axiom,(succ(s7, s8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound8')).
% 49.35/32.00 tff(5926,plain,
% 49.35/32.00 (succ(s7, s8)),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[5925, 5924])).
% 49.35/32.00 tff(5927,plain,
% 49.35/32.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | ((~succ(s7, s8)) | (~xuntil69(s7)) | until68(s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | (~succ(s7, s8)) | (~xuntil69(s7)) | until68(s8))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5928,plain,
% 49.35/32.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | ((~succ(s7, s8)) | (~xuntil69(s7)) | until68(s8))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(5929,plain,
% 49.35/32.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | (~succ(s7, s8)) | (~xuntil69(s7)) | until68(s8)),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[5928, 5927])).
% 49.35/32.00 tff(5930,plain,
% 49.35/32.00 ((~xuntil69(s7)) | until68(s8)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5929, 5926, 5829])).
% 49.35/32.00 tff(5931,plain,
% 49.35/32.00 (until68(s8)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5930, 5923])).
% 49.35/32.00 tff(5932,assumption,(~node67(s8)), introduced(assumption)).
% 49.35/32.00 tff(5933,plain,
% 49.35/32.00 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s8) | node67(s8) | (~until68(s8)))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s8) | node67(s8) | (~until68(s8)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5934,plain,
% 49.35/32.00 ((node67(s8) | (~until68(s8)) | xuntil69(s8)) <=> (xuntil69(s8) | node67(s8) | (~until68(s8)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5935,plain,
% 49.35/32.00 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s8) | (~until68(s8)) | xuntil69(s8))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s8) | node67(s8) | (~until68(s8))))),
% 49.35/32.00 inference(monotonicity,[status(thm)],[5934])).
% 49.35/32.00 tff(5936,plain,
% 49.35/32.00 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s8) | (~until68(s8)) | xuntil69(s8))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s8) | node67(s8) | (~until68(s8)))),
% 49.35/32.00 inference(transitivity,[status(thm)],[5935, 5933])).
% 49.35/32.00 tff(5937,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s8) | (~until68(s8)) | xuntil69(s8))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(5938,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s8) | node67(s8) | (~until68(s8))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[5937, 5936])).
% 49.35/32.00 tff(5939,plain,
% 49.35/32.00 (xuntil69(s8) | (~until68(s8))),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5938, 5811, 5932])).
% 49.35/32.00 tff(5940,plain,
% 49.35/32.00 (xuntil69(s8)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5939, 5931])).
% 49.35/32.00 tff(5941,plain,
% 49.35/32.00 (succ(s8, s9) <=> succ(s8, s9)),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5942,axiom,(succ(s8, s9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound9')).
% 49.35/32.00 tff(5943,plain,
% 49.35/32.00 (succ(s8, s9)),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[5942, 5941])).
% 49.35/32.00 tff(5944,plain,
% 49.35/32.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | ((~succ(s8, s9)) | (~xuntil69(s8)) | until68(s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | (~succ(s8, s9)) | (~xuntil69(s8)) | until68(s9))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5945,plain,
% 49.35/32.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | ((~succ(s8, s9)) | (~xuntil69(s8)) | until68(s9))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(5946,plain,
% 49.35/32.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | (~xuntil69(X)) | until68(Y))) | (~succ(s8, s9)) | (~xuntil69(s8)) | until68(s9)),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[5945, 5944])).
% 49.35/32.00 tff(5947,plain,
% 49.35/32.00 ((~xuntil69(s8)) | until68(s9)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5946, 5943, 5829])).
% 49.35/32.00 tff(5948,plain,
% 49.35/32.00 (until68(s9)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5947, 5940])).
% 49.35/32.00 tff(5949,assumption,(~node67(s9)), introduced(assumption)).
% 49.35/32.00 tff(5950,plain,
% 49.35/32.00 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s9) | node67(s9) | (~until68(s9)))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s9) | node67(s9) | (~until68(s9)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5951,plain,
% 49.35/32.00 ((node67(s9) | (~until68(s9)) | xuntil69(s9)) <=> (xuntil69(s9) | node67(s9) | (~until68(s9)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5952,plain,
% 49.35/32.00 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s9) | (~until68(s9)) | xuntil69(s9))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (xuntil69(s9) | node67(s9) | (~until68(s9))))),
% 49.35/32.00 inference(monotonicity,[status(thm)],[5951])).
% 49.35/32.00 tff(5953,plain,
% 49.35/32.00 (((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s9) | (~until68(s9)) | xuntil69(s9))) <=> ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s9) | node67(s9) | (~until68(s9)))),
% 49.35/32.00 inference(transitivity,[status(thm)],[5952, 5950])).
% 49.35/32.00 tff(5954,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | (node67(s9) | (~until68(s9)) | xuntil69(s9))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(5955,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | (~until68(X)) | xuntil69(X))) | xuntil69(s9) | node67(s9) | (~until68(s9))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[5954, 5953])).
% 49.35/32.00 tff(5956,plain,
% 49.35/32.00 (xuntil69(s9) | (~until68(s9))),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5955, 5811, 5949])).
% 49.35/32.00 tff(5957,plain,
% 49.35/32.00 (xuntil69(s9)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5956, 5948])).
% 49.35/32.00 tff(5958,plain,
% 49.35/32.00 (^[X: $i] : refl(((~last(X)) | (~xuntil2p71(X))) <=> ((~last(X)) | (~xuntil2p71(X))))),
% 49.35/32.00 inference(bind,[status(th)],[])).
% 49.35/32.00 tff(5959,plain,
% 49.35/32.00 (![X: $i] : ((~last(X)) | (~xuntil2p71(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p71(X)))),
% 49.35/32.00 inference(quant_intro,[status(thm)],[5958])).
% 49.35/32.00 tff(5960,plain,
% 49.35/32.00 (![X: $i] : ((~last(X)) | (~xuntil2p71(X))) <=> ![X: $i] : ((~last(X)) | (~xuntil2p71(X)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5961,axiom,(![X: $i] : ((~last(X)) | (~xuntil2p71(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty9')).
% 49.35/32.00 tff(5962,plain,
% 49.35/32.00 (![X: $i] : ((~last(X)) | (~xuntil2p71(X)))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[5961, 5960])).
% 49.35/32.00 tff(5963,plain,(
% 49.35/32.00 ![X: $i] : ((~last(X)) | (~xuntil2p71(X)))),
% 49.35/32.00 inference(skolemize,[status(sab)],[5962])).
% 49.35/32.00 tff(5964,plain,
% 49.35/32.00 (![X: $i] : ((~last(X)) | (~xuntil2p71(X)))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[5963, 5959])).
% 49.35/32.00 tff(5965,plain,
% 49.35/32.00 (last(s9) <=> last(s9)),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5966,axiom,(last(s9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound10')).
% 49.35/32.00 tff(5967,plain,
% 49.35/32.00 (last(s9)),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[5966, 5965])).
% 49.35/32.00 tff(5968,plain,
% 49.35/32.00 (((~![X: $i] : ((~last(X)) | (~xuntil2p71(X)))) | ((~last(s9)) | (~xuntil2p71(s9)))) <=> ((~![X: $i] : ((~last(X)) | (~xuntil2p71(X)))) | (~last(s9)) | (~xuntil2p71(s9)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5969,plain,
% 49.35/32.00 ((~![X: $i] : ((~last(X)) | (~xuntil2p71(X)))) | ((~last(s9)) | (~xuntil2p71(s9)))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(5970,plain,
% 49.35/32.00 ((~![X: $i] : ((~last(X)) | (~xuntil2p71(X)))) | (~last(s9)) | (~xuntil2p71(s9))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[5969, 5968])).
% 49.35/32.00 tff(5971,plain,
% 49.35/32.00 (~xuntil2p71(s9)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5970, 5967, 5964])).
% 49.35/32.00 tff(5972,plain,
% 49.35/32.00 (^[X: $i] : refl((node67(X) | xuntil2p71(X) | (~until2p70(X))) <=> (node67(X) | xuntil2p71(X) | (~until2p70(X))))),
% 49.35/32.00 inference(bind,[status(th)],[])).
% 49.35/32.00 tff(5973,plain,
% 49.35/32.00 (![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X))) <=> ![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))),
% 49.35/32.00 inference(quant_intro,[status(thm)],[5972])).
% 49.35/32.00 tff(5974,plain,
% 49.35/32.00 (![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X))) <=> ![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5975,plain,
% 49.35/32.00 (^[X: $i] : rewrite(((node67(X) | xuntil2p71(X)) | (~until2p70(X))) <=> (node67(X) | xuntil2p71(X) | (~until2p70(X))))),
% 49.35/32.00 inference(bind,[status(th)],[])).
% 49.35/32.00 tff(5976,plain,
% 49.35/32.00 (![X: $i] : ((node67(X) | xuntil2p71(X)) | (~until2p70(X))) <=> ![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))),
% 49.35/32.00 inference(quant_intro,[status(thm)],[5975])).
% 49.35/32.00 tff(5977,axiom,(![X: $i] : ((node67(X) | xuntil2p71(X)) | (~until2p70(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty7')).
% 49.35/32.00 tff(5978,plain,
% 49.35/32.00 (![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[5977, 5976])).
% 49.35/32.00 tff(5979,plain,
% 49.35/32.00 (![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[5978, 5974])).
% 49.35/32.00 tff(5980,plain,(
% 49.35/32.00 ![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))),
% 49.35/32.00 inference(skolemize,[status(sab)],[5979])).
% 49.35/32.00 tff(5981,plain,
% 49.35/32.00 (![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[5980, 5973])).
% 49.35/32.00 tff(5982,plain,
% 49.35/32.00 (((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s9) | xuntil2p71(s9) | (~until2p70(s9)))) <=> ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s9) | xuntil2p71(s9) | (~until2p70(s9)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5983,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s9) | xuntil2p71(s9) | (~until2p70(s9)))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(5984,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s9) | xuntil2p71(s9) | (~until2p70(s9))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[5983, 5982])).
% 49.35/32.00 tff(5985,plain,
% 49.35/32.00 (node67(s9) | (~until2p70(s9))),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5984, 5981, 5971])).
% 49.35/32.00 tff(5986,plain,
% 49.35/32.00 (~until2p70(s9)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5985, 5949])).
% 49.35/32.00 tff(5987,plain,
% 49.35/32.00 (^[Y: $i, X: $i] : refl(((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X))) <=> ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X))))),
% 49.35/32.00 inference(bind,[status(th)],[])).
% 49.35/32.00 tff(5988,plain,
% 49.35/32.00 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))),
% 49.35/32.00 inference(quant_intro,[status(thm)],[5987])).
% 49.35/32.00 tff(5989,plain,
% 49.35/32.00 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5990,plain,
% 49.35/32.00 (^[Y: $i, X: $i] : rewrite(((until2p70(Y) | (~succ(X, Y))) | (~xuntil2p71(X))) <=> ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X))))),
% 49.35/32.00 inference(bind,[status(th)],[])).
% 49.35/32.00 tff(5991,plain,
% 49.35/32.00 (![Y: $i, X: $i] : ((until2p70(Y) | (~succ(X, Y))) | (~xuntil2p71(X))) <=> ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))),
% 49.35/32.00 inference(quant_intro,[status(thm)],[5990])).
% 49.35/32.00 tff(5992,axiom,(![Y: $i, X: $i] : ((until2p70(Y) | (~succ(X, Y))) | (~xuntil2p71(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty8')).
% 49.35/32.00 tff(5993,plain,
% 49.35/32.00 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[5992, 5991])).
% 49.35/32.00 tff(5994,plain,
% 49.35/32.00 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[5993, 5989])).
% 49.35/32.00 tff(5995,plain,(
% 49.35/32.00 ![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))),
% 49.35/32.00 inference(skolemize,[status(sab)],[5994])).
% 49.35/32.00 tff(5996,plain,
% 49.35/32.00 (![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[5995, 5988])).
% 49.35/32.00 tff(5997,plain,
% 49.35/32.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | ((~succ(s8, s9)) | until2p70(s9) | (~xuntil2p71(s8)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | (~succ(s8, s9)) | until2p70(s9) | (~xuntil2p71(s8)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(5998,plain,
% 49.35/32.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | ((~succ(s8, s9)) | until2p70(s9) | (~xuntil2p71(s8)))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(5999,plain,
% 49.35/32.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | (~succ(s8, s9)) | until2p70(s9) | (~xuntil2p71(s8))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[5998, 5997])).
% 49.35/32.00 tff(6000,plain,
% 49.35/32.00 (until2p70(s9) | (~xuntil2p71(s8))),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[5999, 5943, 5996])).
% 49.35/32.00 tff(6001,plain,
% 49.35/32.00 (~xuntil2p71(s8)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[6000, 5986])).
% 49.35/32.00 tff(6002,plain,
% 49.35/32.00 (((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s8) | xuntil2p71(s8) | (~until2p70(s8)))) <=> ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s8) | xuntil2p71(s8) | (~until2p70(s8)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(6003,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s8) | xuntil2p71(s8) | (~until2p70(s8)))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(6004,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s8) | xuntil2p71(s8) | (~until2p70(s8))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[6003, 6002])).
% 49.35/32.00 tff(6005,plain,
% 49.35/32.00 (xuntil2p71(s8) | (~until2p70(s8))),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[6004, 5981, 5932])).
% 49.35/32.00 tff(6006,plain,
% 49.35/32.00 (~until2p70(s8)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[6005, 6001])).
% 49.35/32.00 tff(6007,plain,
% 49.35/32.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | ((~succ(s7, s8)) | until2p70(s8) | (~xuntil2p71(s7)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | (~succ(s7, s8)) | until2p70(s8) | (~xuntil2p71(s7)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(6008,plain,
% 49.35/32.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | ((~succ(s7, s8)) | until2p70(s8) | (~xuntil2p71(s7)))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(6009,plain,
% 49.35/32.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | (~succ(s7, s8)) | until2p70(s8) | (~xuntil2p71(s7))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[6008, 6007])).
% 49.35/32.00 tff(6010,plain,
% 49.35/32.00 (until2p70(s8) | (~xuntil2p71(s7))),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[6009, 5926, 5996])).
% 49.35/32.00 tff(6011,plain,
% 49.35/32.00 (~xuntil2p71(s7)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[6010, 6006])).
% 49.35/32.00 tff(6012,plain,
% 49.35/32.00 (((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s7) | xuntil2p71(s7) | (~until2p70(s7)))) <=> ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s7) | xuntil2p71(s7) | (~until2p70(s7)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(6013,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s7) | xuntil2p71(s7) | (~until2p70(s7)))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(6014,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s7) | xuntil2p71(s7) | (~until2p70(s7))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[6013, 6012])).
% 49.35/32.00 tff(6015,plain,
% 49.35/32.00 (xuntil2p71(s7) | (~until2p70(s7))),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[6014, 5981, 5667])).
% 49.35/32.00 tff(6016,plain,
% 49.35/32.00 (~until2p70(s7)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[6015, 6011])).
% 49.35/32.00 tff(6017,plain,
% 49.35/32.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | ((~succ(s6, s7)) | until2p70(s7) | (~xuntil2p71(s6)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | (~succ(s6, s7)) | until2p70(s7) | (~xuntil2p71(s6)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(6018,plain,
% 49.35/32.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | ((~succ(s6, s7)) | until2p70(s7) | (~xuntil2p71(s6)))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(6019,plain,
% 49.35/32.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | (~succ(s6, s7)) | until2p70(s7) | (~xuntil2p71(s6))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[6018, 6017])).
% 49.35/32.00 tff(6020,plain,
% 49.35/32.00 (until2p70(s7) | (~xuntil2p71(s6))),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[6019, 2340, 5996])).
% 49.35/32.00 tff(6021,plain,
% 49.35/32.00 (~xuntil2p71(s6)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[6020, 6016])).
% 49.35/32.00 tff(6022,plain,
% 49.35/32.00 (((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s6) | xuntil2p71(s6) | (~until2p70(s6)))) <=> ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s6) | xuntil2p71(s6) | (~until2p70(s6)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(6023,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s6) | xuntil2p71(s6) | (~until2p70(s6)))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(6024,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s6) | xuntil2p71(s6) | (~until2p70(s6))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[6023, 6022])).
% 49.35/32.00 tff(6025,plain,
% 49.35/32.00 (xuntil2p71(s6) | (~until2p70(s6))),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[6024, 5981, 5668])).
% 49.35/32.00 tff(6026,plain,
% 49.35/32.00 (~until2p70(s6)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[6025, 6021])).
% 49.35/32.00 tff(6027,plain,
% 49.35/32.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | ((~succ(s5, s6)) | until2p70(s6) | (~xuntil2p71(s5)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | (~succ(s5, s6)) | until2p70(s6) | (~xuntil2p71(s5)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(6028,plain,
% 49.35/32.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | ((~succ(s5, s6)) | until2p70(s6) | (~xuntil2p71(s5)))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(6029,plain,
% 49.35/32.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | (~succ(s5, s6)) | until2p70(s6) | (~xuntil2p71(s5))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[6028, 6027])).
% 49.35/32.00 tff(6030,plain,
% 49.35/32.00 (until2p70(s6) | (~xuntil2p71(s5))),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[6029, 199, 5996])).
% 49.35/32.00 tff(6031,plain,
% 49.35/32.00 (~xuntil2p71(s5)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[6030, 6026])).
% 49.35/32.00 tff(6032,plain,
% 49.35/32.00 (((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s5) | xuntil2p71(s5) | (~until2p70(s5)))) <=> ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s5) | xuntil2p71(s5) | (~until2p70(s5)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(6033,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s5) | xuntil2p71(s5) | (~until2p70(s5)))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(6034,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s5) | xuntil2p71(s5) | (~until2p70(s5))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[6033, 6032])).
% 49.35/32.00 tff(6035,plain,
% 49.35/32.00 (xuntil2p71(s5) | (~until2p70(s5))),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[6034, 5981, 5669])).
% 49.35/32.00 tff(6036,plain,
% 49.35/32.00 (~until2p70(s5)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[6035, 6031])).
% 49.35/32.00 tff(6037,plain,
% 49.35/32.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | ((~succ(s4, s5)) | until2p70(s5) | (~xuntil2p71(s4)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | (~succ(s4, s5)) | until2p70(s5) | (~xuntil2p71(s4)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(6038,plain,
% 49.35/32.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | ((~succ(s4, s5)) | until2p70(s5) | (~xuntil2p71(s4)))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(6039,plain,
% 49.35/32.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | (~succ(s4, s5)) | until2p70(s5) | (~xuntil2p71(s4))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[6038, 6037])).
% 49.35/32.00 tff(6040,plain,
% 49.35/32.00 (until2p70(s5) | (~xuntil2p71(s4))),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[6039, 1108, 5996])).
% 49.35/32.00 tff(6041,plain,
% 49.35/32.00 (~xuntil2p71(s4)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[6040, 6036])).
% 49.35/32.00 tff(6042,plain,
% 49.35/32.00 (((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s4) | xuntil2p71(s4) | (~until2p70(s4)))) <=> ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s4) | xuntil2p71(s4) | (~until2p70(s4)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(6043,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s4) | xuntil2p71(s4) | (~until2p70(s4)))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(6044,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s4) | xuntil2p71(s4) | (~until2p70(s4))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[6043, 6042])).
% 49.35/32.00 tff(6045,plain,
% 49.35/32.00 (xuntil2p71(s4) | (~until2p70(s4))),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[6044, 5981, 5670])).
% 49.35/32.00 tff(6046,plain,
% 49.35/32.00 (~until2p70(s4)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[6045, 6041])).
% 49.35/32.00 tff(6047,plain,
% 49.35/32.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | ((~succ(s3, s4)) | until2p70(s4) | (~xuntil2p71(s3)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | (~succ(s3, s4)) | until2p70(s4) | (~xuntil2p71(s3)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(6048,plain,
% 49.35/32.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | ((~succ(s3, s4)) | until2p70(s4) | (~xuntil2p71(s3)))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(6049,plain,
% 49.35/32.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | (~succ(s3, s4)) | until2p70(s4) | (~xuntil2p71(s3))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[6048, 6047])).
% 49.35/32.00 tff(6050,plain,
% 49.35/32.00 (until2p70(s4) | (~xuntil2p71(s3))),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[6049, 5871, 5996])).
% 49.35/32.00 tff(6051,plain,
% 49.35/32.00 (~xuntil2p71(s3)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[6050, 6046])).
% 49.35/32.00 tff(6052,plain,
% 49.35/32.00 (((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s3) | xuntil2p71(s3) | (~until2p70(s3)))) <=> ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s3) | xuntil2p71(s3) | (~until2p70(s3)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(6053,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s3) | xuntil2p71(s3) | (~until2p70(s3)))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(6054,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s3) | xuntil2p71(s3) | (~until2p70(s3))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[6053, 6052])).
% 49.35/32.00 tff(6055,plain,
% 49.35/32.00 (xuntil2p71(s3) | (~until2p70(s3))),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[6054, 5981, 5671])).
% 49.35/32.00 tff(6056,plain,
% 49.35/32.00 (~until2p70(s3)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[6055, 6051])).
% 49.35/32.00 tff(6057,plain,
% 49.35/32.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | ((~succ(s2, s3)) | until2p70(s3) | (~xuntil2p71(s2)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | (~succ(s2, s3)) | until2p70(s3) | (~xuntil2p71(s2)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(6058,plain,
% 49.35/32.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | ((~succ(s2, s3)) | until2p70(s3) | (~xuntil2p71(s2)))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(6059,plain,
% 49.35/32.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | (~succ(s2, s3)) | until2p70(s3) | (~xuntil2p71(s2))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[6058, 6057])).
% 49.35/32.00 tff(6060,plain,
% 49.35/32.00 (until2p70(s3) | (~xuntil2p71(s2))),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[6059, 2680, 5996])).
% 49.35/32.00 tff(6061,plain,
% 49.35/32.00 (~xuntil2p71(s2)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[6060, 6056])).
% 49.35/32.00 tff(6062,plain,
% 49.35/32.00 (((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s2) | xuntil2p71(s2) | (~until2p70(s2)))) <=> ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s2) | xuntil2p71(s2) | (~until2p70(s2)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(6063,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s2) | xuntil2p71(s2) | (~until2p70(s2)))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(6064,plain,
% 49.35/32.00 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s2) | xuntil2p71(s2) | (~until2p70(s2))),
% 49.35/32.00 inference(modus_ponens,[status(thm)],[6063, 6062])).
% 49.35/32.00 tff(6065,plain,
% 49.35/32.00 (node67(s2) | (~until2p70(s2))),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[6064, 5981, 6061])).
% 49.35/32.00 tff(6066,plain,
% 49.35/32.00 (~until2p70(s2)),
% 49.35/32.00 inference(unit_resolution,[status(thm)],[6065, 5785])).
% 49.35/32.00 tff(6067,plain,
% 49.35/32.00 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | ((~succ(s1, s2)) | until2p70(s2) | (~xuntil2p71(s1)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | (~succ(s1, s2)) | until2p70(s2) | (~xuntil2p71(s1)))),
% 49.35/32.00 inference(rewrite,[status(thm)],[])).
% 49.35/32.00 tff(6068,plain,
% 49.35/32.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | ((~succ(s1, s2)) | until2p70(s2) | (~xuntil2p71(s1)))),
% 49.35/32.00 inference(quant_inst,[status(thm)],[])).
% 49.35/32.00 tff(6069,plain,
% 49.35/32.00 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | (~succ(s1, s2)) | until2p70(s2) | (~xuntil2p71(s1))),
% 49.35/32.01 inference(modus_ponens,[status(thm)],[6068, 6067])).
% 49.35/32.01 tff(6070,plain,
% 49.35/32.01 (until2p70(s2) | (~xuntil2p71(s1))),
% 49.35/32.01 inference(unit_resolution,[status(thm)],[6069, 3132, 5996])).
% 49.35/32.01 tff(6071,plain,
% 49.35/32.01 (~xuntil2p71(s1)),
% 49.35/32.01 inference(unit_resolution,[status(thm)],[6070, 6066])).
% 49.35/32.01 tff(6072,plain,
% 49.35/32.01 (((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s1) | xuntil2p71(s1) | (~until2p70(s1)))) <=> ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s1) | xuntil2p71(s1) | (~until2p70(s1)))),
% 49.35/32.01 inference(rewrite,[status(thm)],[])).
% 49.35/32.01 tff(6073,plain,
% 49.35/32.01 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s1) | xuntil2p71(s1) | (~until2p70(s1)))),
% 49.35/32.01 inference(quant_inst,[status(thm)],[])).
% 49.35/32.01 tff(6074,plain,
% 49.35/32.01 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s1) | xuntil2p71(s1) | (~until2p70(s1))),
% 49.35/32.01 inference(modus_ponens,[status(thm)],[6073, 6072])).
% 49.35/32.01 tff(6075,plain,
% 49.35/32.01 (xuntil2p71(s1) | (~until2p70(s1))),
% 49.35/32.01 inference(unit_resolution,[status(thm)],[6074, 5981, 5786])).
% 49.35/32.01 tff(6076,plain,
% 49.35/32.01 (~until2p70(s1)),
% 49.35/32.01 inference(unit_resolution,[status(thm)],[6075, 6071])).
% 49.35/32.01 tff(6077,plain,
% 49.35/32.01 (^[Y: $i, X: $i] : refl(((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y)) <=> ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y)))),
% 49.35/32.01 inference(bind,[status(th)],[])).
% 49.35/32.01 tff(6078,plain,
% 49.35/32.01 (![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y)) <=> ![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))),
% 49.35/32.01 inference(quant_intro,[status(thm)],[6077])).
% 49.35/32.01 tff(6079,plain,
% 49.35/32.01 (![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y)) <=> ![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))),
% 49.35/32.01 inference(rewrite,[status(thm)],[])).
% 49.35/32.01 tff(6080,plain,
% 49.35/32.01 (^[Y: $i, X: $i] : trans(monotonicity(rewrite(((until2p70(Y) | (~trans(X, Y))) | (~last(X))) <=> ((~last(X)) | (~trans(X, Y)) | until2p70(Y))), ((((until2p70(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil69(X))) <=> (((~last(X)) | (~trans(X, Y)) | until2p70(Y)) | (~xuntil69(X))))), rewrite((((~last(X)) | (~trans(X, Y)) | until2p70(Y)) | (~xuntil69(X))) <=> ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))), ((((until2p70(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil69(X))) <=> ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))))),
% 49.35/32.01 inference(bind,[status(th)],[])).
% 49.35/32.01 tff(6081,plain,
% 49.35/32.01 (![Y: $i, X: $i] : (((until2p70(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil69(X))) <=> ![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))),
% 49.35/32.01 inference(quant_intro,[status(thm)],[6080])).
% 49.35/32.01 tff(6082,axiom,(![Y: $i, X: $i] : (((until2p70(Y) | (~trans(X, Y))) | (~last(X))) | (~xuntil69(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty6')).
% 49.35/32.01 tff(6083,plain,
% 49.35/32.01 (![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))),
% 49.35/32.01 inference(modus_ponens,[status(thm)],[6082, 6081])).
% 49.35/32.01 tff(6084,plain,
% 49.35/32.01 (![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))),
% 49.35/32.01 inference(modus_ponens,[status(thm)],[6083, 6079])).
% 49.35/32.01 tff(6085,plain,(
% 49.35/32.01 ![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))),
% 49.35/32.01 inference(skolemize,[status(sab)],[6084])).
% 49.35/32.01 tff(6086,plain,
% 49.35/32.01 (![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))),
% 49.35/32.01 inference(modus_ponens,[status(thm)],[6085, 6078])).
% 49.35/32.01 tff(6087,assumption,(xuntil69(s9)), introduced(assumption)).
% 49.35/32.01 tff(6088,assumption,(~until2p70(s6)), introduced(assumption)).
% 49.35/32.01 tff(6089,assumption,(trans(s9, s6)), introduced(assumption)).
% 49.35/32.01 tff(6090,plain,
% 49.35/32.01 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (until2p70(s6) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s6)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s6) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s6)))),
% 49.35/32.01 inference(rewrite,[status(thm)],[])).
% 49.35/32.01 tff(6091,plain,
% 49.35/32.01 (((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s6)) | until2p70(s6)) <=> (until2p70(s6) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s6)))),
% 49.35/32.01 inference(rewrite,[status(thm)],[])).
% 49.35/32.01 tff(6092,plain,
% 49.35/32.01 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s6)) | until2p70(s6))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (until2p70(s6) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s6))))),
% 49.35/32.01 inference(monotonicity,[status(thm)],[6091])).
% 49.35/32.01 tff(6093,plain,
% 49.35/32.01 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s6)) | until2p70(s6))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s6) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s6)))),
% 49.35/32.01 inference(transitivity,[status(thm)],[6092, 6090])).
% 49.35/32.01 tff(6094,plain,
% 49.35/32.01 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s6)) | until2p70(s6))),
% 49.35/32.01 inference(quant_inst,[status(thm)],[])).
% 49.35/32.01 tff(6095,plain,
% 49.35/32.01 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s6) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s6))),
% 49.35/32.01 inference(modus_ponens,[status(thm)],[6094, 6093])).
% 49.35/32.01 tff(6096,plain,
% 49.35/32.01 ($false),
% 49.35/32.01 inference(unit_resolution,[status(thm)],[6095, 5967, 6089, 6086, 6088, 6087])).
% 49.35/32.01 tff(6097,plain,((~trans(s9, s6)) | until2p70(s6) | (~xuntil69(s9))), inference(lemma,lemma(discharge,[]))).
% 49.35/32.01 tff(6098,plain,
% 49.35/32.01 (~trans(s9, s6)),
% 49.35/32.01 inference(unit_resolution,[status(thm)],[6097, 5957, 6026])).
% 49.35/32.01 tff(6099,assumption,(~until2p70(s7)), introduced(assumption)).
% 49.35/32.01 tff(6100,assumption,(trans(s9, s7)), introduced(assumption)).
% 49.35/32.01 tff(6101,plain,
% 49.35/32.01 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (until2p70(s7) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s7)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s7) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s7)))),
% 49.35/32.01 inference(rewrite,[status(thm)],[])).
% 49.35/32.01 tff(6102,plain,
% 49.35/32.01 (((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s7)) | until2p70(s7)) <=> (until2p70(s7) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s7)))),
% 49.35/32.01 inference(rewrite,[status(thm)],[])).
% 49.35/32.01 tff(6103,plain,
% 49.35/32.01 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s7)) | until2p70(s7))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (until2p70(s7) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s7))))),
% 49.35/32.01 inference(monotonicity,[status(thm)],[6102])).
% 49.35/32.01 tff(6104,plain,
% 49.35/32.01 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s7)) | until2p70(s7))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s7) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s7)))),
% 49.35/32.01 inference(transitivity,[status(thm)],[6103, 6101])).
% 49.35/32.01 tff(6105,plain,
% 49.35/32.01 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s7)) | until2p70(s7))),
% 49.35/32.01 inference(quant_inst,[status(thm)],[])).
% 49.35/32.01 tff(6106,plain,
% 49.35/32.01 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s7) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s7))),
% 49.35/32.01 inference(modus_ponens,[status(thm)],[6105, 6104])).
% 49.35/32.01 tff(6107,plain,
% 49.35/32.01 ($false),
% 49.35/32.01 inference(unit_resolution,[status(thm)],[6106, 5967, 6100, 6086, 6099, 6087])).
% 49.35/32.01 tff(6108,plain,((~trans(s9, s7)) | until2p70(s7) | (~xuntil69(s9))), inference(lemma,lemma(discharge,[]))).
% 49.35/32.01 tff(6109,plain,
% 49.35/32.01 (~trans(s9, s7)),
% 49.35/32.01 inference(unit_resolution,[status(thm)],[6108, 5957, 6016])).
% 49.35/32.01 tff(6110,assumption,(~until2p70(s9)), introduced(assumption)).
% 49.35/32.01 tff(6111,assumption,(trans(s9, s9)), introduced(assumption)).
% 49.35/32.01 tff(6112,plain,
% 49.35/32.01 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (until2p70(s9) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s9)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s9) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s9)))),
% 49.35/32.01 inference(rewrite,[status(thm)],[])).
% 49.35/32.01 tff(6113,plain,
% 49.35/32.01 (((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s9)) | until2p70(s9)) <=> (until2p70(s9) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s9)))),
% 49.35/32.01 inference(rewrite,[status(thm)],[])).
% 49.35/32.01 tff(6114,plain,
% 49.35/32.01 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s9)) | until2p70(s9))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (until2p70(s9) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s9))))),
% 49.35/32.01 inference(monotonicity,[status(thm)],[6113])).
% 49.35/32.01 tff(6115,plain,
% 49.35/32.01 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s9)) | until2p70(s9))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s9) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s9)))),
% 49.35/32.01 inference(transitivity,[status(thm)],[6114, 6112])).
% 49.35/32.01 tff(6116,plain,
% 49.35/32.01 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s9)) | until2p70(s9))),
% 49.35/32.01 inference(quant_inst,[status(thm)],[])).
% 49.35/32.01 tff(6117,plain,
% 49.35/32.01 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s9) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s9))),
% 49.35/32.01 inference(modus_ponens,[status(thm)],[6116, 6115])).
% 49.35/32.01 tff(6118,plain,
% 49.35/32.01 ($false),
% 49.35/32.01 inference(unit_resolution,[status(thm)],[6117, 5967, 6111, 6086, 6110, 6087])).
% 49.35/32.01 tff(6119,plain,((~trans(s9, s9)) | until2p70(s9) | (~xuntil69(s9))), inference(lemma,lemma(discharge,[]))).
% 49.35/32.01 tff(6120,plain,
% 49.35/32.01 (~trans(s9, s9)),
% 49.35/32.01 inference(unit_resolution,[status(thm)],[6119, 5957, 5986])).
% 49.35/32.01 tff(6121,assumption,(~until2p70(s3)), introduced(assumption)).
% 49.35/32.01 tff(6122,assumption,(trans(s9, s3)), introduced(assumption)).
% 49.35/32.01 tff(6123,plain,
% 49.35/32.01 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (until2p70(s3) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s3)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s3) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s3)))),
% 49.35/32.01 inference(rewrite,[status(thm)],[])).
% 49.35/32.01 tff(6124,plain,
% 49.35/32.01 (((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s3)) | until2p70(s3)) <=> (until2p70(s3) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s3)))),
% 49.35/32.01 inference(rewrite,[status(thm)],[])).
% 49.35/32.01 tff(6125,plain,
% 49.35/32.01 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s3)) | until2p70(s3))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (until2p70(s3) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s3))))),
% 49.35/32.01 inference(monotonicity,[status(thm)],[6124])).
% 49.35/32.01 tff(6126,plain,
% 49.35/32.01 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s3)) | until2p70(s3))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s3) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s3)))),
% 49.35/32.01 inference(transitivity,[status(thm)],[6125, 6123])).
% 49.35/32.01 tff(6127,plain,
% 49.35/32.01 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s3)) | until2p70(s3))),
% 49.35/32.01 inference(quant_inst,[status(thm)],[])).
% 49.35/32.01 tff(6128,plain,
% 49.35/32.01 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s3) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s3))),
% 49.35/32.01 inference(modus_ponens,[status(thm)],[6127, 6126])).
% 49.35/32.01 tff(6129,plain,
% 49.35/32.01 ($false),
% 49.35/32.01 inference(unit_resolution,[status(thm)],[6128, 5967, 6122, 6086, 6121, 6087])).
% 49.35/32.01 tff(6130,plain,((~trans(s9, s3)) | until2p70(s3) | (~xuntil69(s9))), inference(lemma,lemma(discharge,[]))).
% 49.35/32.01 tff(6131,plain,
% 49.35/32.01 (~trans(s9, s3)),
% 49.35/32.01 inference(unit_resolution,[status(thm)],[6130, 5957, 6056])).
% 49.35/32.01 tff(6132,assumption,(~until2p70(s2)), introduced(assumption)).
% 49.35/32.01 tff(6133,assumption,(trans(s9, s2)), introduced(assumption)).
% 49.35/32.01 tff(6134,plain,
% 49.35/32.01 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (until2p70(s2) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s2)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s2) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s2)))),
% 49.35/32.01 inference(rewrite,[status(thm)],[])).
% 49.35/32.01 tff(6135,plain,
% 49.35/32.01 (((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s2)) | until2p70(s2)) <=> (until2p70(s2) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s2)))),
% 49.35/32.01 inference(rewrite,[status(thm)],[])).
% 49.35/32.01 tff(6136,plain,
% 49.35/32.01 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s2)) | until2p70(s2))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (until2p70(s2) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s2))))),
% 49.35/32.01 inference(monotonicity,[status(thm)],[6135])).
% 49.35/32.01 tff(6137,plain,
% 49.35/32.01 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s2)) | until2p70(s2))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s2) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s2)))),
% 49.35/32.01 inference(transitivity,[status(thm)],[6136, 6134])).
% 49.35/32.01 tff(6138,plain,
% 49.35/32.01 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s2)) | until2p70(s2))),
% 49.35/32.01 inference(quant_inst,[status(thm)],[])).
% 49.35/32.01 tff(6139,plain,
% 49.35/32.01 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s2) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s2))),
% 49.35/32.01 inference(modus_ponens,[status(thm)],[6138, 6137])).
% 49.35/32.01 tff(6140,plain,
% 49.35/32.01 ($false),
% 49.35/32.01 inference(unit_resolution,[status(thm)],[6139, 5967, 6133, 6086, 6132, 6087])).
% 49.35/32.01 tff(6141,plain,((~trans(s9, s2)) | until2p70(s2) | (~xuntil69(s9))), inference(lemma,lemma(discharge,[]))).
% 49.35/32.01 tff(6142,plain,
% 49.35/32.01 (~trans(s9, s2)),
% 49.35/32.01 inference(unit_resolution,[status(thm)],[6141, 6066, 5957])).
% 49.35/32.01 tff(6143,assumption,(~until2p70(s5)), introduced(assumption)).
% 49.35/32.01 tff(6144,assumption,(trans(s9, s5)), introduced(assumption)).
% 49.35/32.01 tff(6145,plain,
% 49.35/32.01 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (until2p70(s5) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s5)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s5) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s5)))),
% 49.35/32.01 inference(rewrite,[status(thm)],[])).
% 49.35/32.01 tff(6146,plain,
% 49.35/32.01 (((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s5)) | until2p70(s5)) <=> (until2p70(s5) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s5)))),
% 49.35/32.01 inference(rewrite,[status(thm)],[])).
% 49.35/32.01 tff(6147,plain,
% 49.35/32.01 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s5)) | until2p70(s5))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (until2p70(s5) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s5))))),
% 49.35/32.01 inference(monotonicity,[status(thm)],[6146])).
% 49.35/32.01 tff(6148,plain,
% 49.35/32.01 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s5)) | until2p70(s5))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s5) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s5)))),
% 49.35/32.01 inference(transitivity,[status(thm)],[6147, 6145])).
% 49.35/32.01 tff(6149,plain,
% 49.35/32.01 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s5)) | until2p70(s5))),
% 49.35/32.01 inference(quant_inst,[status(thm)],[])).
% 49.35/32.01 tff(6150,plain,
% 49.35/32.01 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s5) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s5))),
% 49.35/32.01 inference(modus_ponens,[status(thm)],[6149, 6148])).
% 49.35/32.01 tff(6151,plain,
% 49.35/32.01 ($false),
% 49.35/32.01 inference(unit_resolution,[status(thm)],[6150, 5967, 6144, 6086, 6143, 6087])).
% 49.35/32.01 tff(6152,plain,((~trans(s9, s5)) | until2p70(s5) | (~xuntil69(s9))), inference(lemma,lemma(discharge,[]))).
% 49.35/32.01 tff(6153,plain,
% 49.35/32.01 (~trans(s9, s5)),
% 49.35/32.01 inference(unit_resolution,[status(thm)],[6152, 5957, 6036])).
% 49.35/32.01 tff(6154,assumption,(~until2p70(s4)), introduced(assumption)).
% 49.35/32.01 tff(6155,assumption,(trans(s9, s4)), introduced(assumption)).
% 49.35/32.01 tff(6156,plain,
% 49.35/32.01 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (until2p70(s4) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s4)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s4) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s4)))),
% 49.35/32.01 inference(rewrite,[status(thm)],[])).
% 49.35/32.01 tff(6157,plain,
% 49.35/32.01 (((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s4)) | until2p70(s4)) <=> (until2p70(s4) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s4)))),
% 49.35/32.01 inference(rewrite,[status(thm)],[])).
% 49.35/32.01 tff(6158,plain,
% 49.35/32.01 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s4)) | until2p70(s4))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (until2p70(s4) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s4))))),
% 49.35/32.01 inference(monotonicity,[status(thm)],[6157])).
% 49.35/32.01 tff(6159,plain,
% 49.35/32.01 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s4)) | until2p70(s4))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s4) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s4)))),
% 49.35/32.01 inference(transitivity,[status(thm)],[6158, 6156])).
% 49.35/32.01 tff(6160,plain,
% 49.35/32.01 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s4)) | until2p70(s4))),
% 49.35/32.01 inference(quant_inst,[status(thm)],[])).
% 49.35/32.01 tff(6161,plain,
% 49.35/32.01 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s4) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s4))),
% 49.35/32.01 inference(modus_ponens,[status(thm)],[6160, 6159])).
% 49.35/32.01 tff(6162,plain,
% 49.35/32.01 ($false),
% 49.35/32.01 inference(unit_resolution,[status(thm)],[6161, 5967, 6155, 6086, 6154, 6087])).
% 49.35/32.01 tff(6163,plain,((~trans(s9, s4)) | until2p70(s4) | (~xuntil69(s9))), inference(lemma,lemma(discharge,[]))).
% 49.35/32.01 tff(6164,plain,
% 49.35/32.01 (~trans(s9, s4)),
% 49.35/32.01 inference(unit_resolution,[status(thm)],[6163, 5957, 6046])).
% 49.35/32.01 tff(6165,assumption,(~until2p70(s8)), introduced(assumption)).
% 49.35/32.01 tff(6166,assumption,(trans(s9, s8)), introduced(assumption)).
% 49.35/32.01 tff(6167,plain,
% 49.35/32.01 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (until2p70(s8) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s8)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s8) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s8)))),
% 49.35/32.01 inference(rewrite,[status(thm)],[])).
% 49.35/32.01 tff(6168,plain,
% 49.35/32.01 (((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s8)) | until2p70(s8)) <=> (until2p70(s8) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s8)))),
% 49.35/32.01 inference(rewrite,[status(thm)],[])).
% 49.35/32.01 tff(6169,plain,
% 49.35/32.01 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s8)) | until2p70(s8))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (until2p70(s8) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s8))))),
% 49.35/32.01 inference(monotonicity,[status(thm)],[6168])).
% 49.35/32.01 tff(6170,plain,
% 49.35/32.01 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s8)) | until2p70(s8))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s8) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s8)))),
% 49.35/32.01 inference(transitivity,[status(thm)],[6169, 6167])).
% 49.35/32.01 tff(6171,plain,
% 49.35/32.01 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s8)) | until2p70(s8))),
% 49.35/32.01 inference(quant_inst,[status(thm)],[])).
% 49.35/32.01 tff(6172,plain,
% 49.35/32.01 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s8) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s8))),
% 49.35/32.01 inference(modus_ponens,[status(thm)],[6171, 6170])).
% 49.35/32.01 tff(6173,plain,
% 49.35/32.01 ($false),
% 49.35/32.01 inference(unit_resolution,[status(thm)],[6172, 5967, 6166, 6086, 6165, 6087])).
% 49.35/32.01 tff(6174,plain,((~trans(s9, s8)) | until2p70(s8) | (~xuntil69(s9))), inference(lemma,lemma(discharge,[]))).
% 49.35/32.01 tff(6175,plain,
% 49.35/32.01 (~trans(s9, s8)),
% 49.35/32.01 inference(unit_resolution,[status(thm)],[6174, 5957, 6006])).
% 49.35/32.01 tff(6176,plain,
% 49.35/32.01 (^[X: $i] : refl((loop | (~last(X)) | (~xuntil69(X))) <=> (loop | (~last(X)) | (~xuntil69(X))))),
% 49.35/32.01 inference(bind,[status(th)],[])).
% 49.35/32.01 tff(6177,plain,
% 49.35/32.01 (![X: $i] : (loop | (~last(X)) | (~xuntil69(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil69(X)))),
% 49.35/32.01 inference(quant_intro,[status(thm)],[6176])).
% 49.35/32.01 tff(6178,plain,
% 49.35/32.01 (![X: $i] : (loop | (~last(X)) | (~xuntil69(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil69(X)))),
% 49.35/32.01 inference(rewrite,[status(thm)],[])).
% 49.35/32.01 tff(6179,plain,
% 49.35/32.01 (^[X: $i] : rewrite(((loop | (~last(X))) | (~xuntil69(X))) <=> (loop | (~last(X)) | (~xuntil69(X))))),
% 49.35/32.01 inference(bind,[status(th)],[])).
% 49.35/32.01 tff(6180,plain,
% 49.35/32.01 (![X: $i] : ((loop | (~last(X))) | (~xuntil69(X))) <=> ![X: $i] : (loop | (~last(X)) | (~xuntil69(X)))),
% 49.35/32.01 inference(quant_intro,[status(thm)],[6179])).
% 49.35/32.01 tff(6181,axiom,(![X: $i] : ((loop | (~last(X))) | (~xuntil69(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prpty5')).
% 49.35/32.01 tff(6182,plain,
% 49.35/32.01 (![X: $i] : (loop | (~last(X)) | (~xuntil69(X)))),
% 49.35/32.01 inference(modus_ponens,[status(thm)],[6181, 6180])).
% 49.35/32.01 tff(6183,plain,
% 49.35/32.01 (![X: $i] : (loop | (~last(X)) | (~xuntil69(X)))),
% 49.35/32.01 inference(modus_ponens,[status(thm)],[6182, 6178])).
% 49.35/32.01 tff(6184,plain,(
% 49.35/32.01 ![X: $i] : (loop | (~last(X)) | (~xuntil69(X)))),
% 49.35/32.01 inference(skolemize,[status(sab)],[6183])).
% 49.35/32.01 tff(6185,plain,
% 49.35/32.01 (![X: $i] : (loop | (~last(X)) | (~xuntil69(X)))),
% 49.35/32.01 inference(modus_ponens,[status(thm)],[6184, 6177])).
% 49.35/32.01 tff(6186,plain,
% 49.35/32.01 (((~![X: $i] : (loop | (~last(X)) | (~xuntil69(X)))) | (loop | (~last(s9)) | (~xuntil69(s9)))) <=> ((~![X: $i] : (loop | (~last(X)) | (~xuntil69(X)))) | loop | (~last(s9)) | (~xuntil69(s9)))),
% 49.35/32.01 inference(rewrite,[status(thm)],[])).
% 49.35/32.01 tff(6187,plain,
% 49.35/32.01 ((~![X: $i] : (loop | (~last(X)) | (~xuntil69(X)))) | (loop | (~last(s9)) | (~xuntil69(s9)))),
% 49.35/32.01 inference(quant_inst,[status(thm)],[])).
% 49.35/32.01 tff(6188,plain,
% 49.35/32.01 ((~![X: $i] : (loop | (~last(X)) | (~xuntil69(X)))) | loop | (~last(s9)) | (~xuntil69(s9))),
% 49.35/32.01 inference(modus_ponens,[status(thm)],[6187, 6186])).
% 49.35/32.01 tff(6189,plain,
% 49.35/32.01 (loop | (~xuntil69(s9))),
% 49.35/32.01 inference(unit_resolution,[status(thm)],[6188, 5967, 6185])).
% 49.35/32.01 tff(6190,plain,
% 49.35/32.01 (loop),
% 49.35/32.01 inference(unit_resolution,[status(thm)],[6189, 5957])).
% 49.35/32.01 tff(6191,plain,
% 49.35/32.01 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | ((~succ(s0, s1)) | until2p70(s1) | (~xuntil2p71(s0)))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | (~succ(s0, s1)) | until2p70(s1) | (~xuntil2p71(s0)))),
% 49.35/32.01 inference(rewrite,[status(thm)],[])).
% 49.35/32.01 tff(6192,plain,
% 49.35/32.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | ((~succ(s0, s1)) | until2p70(s1) | (~xuntil2p71(s0)))),
% 49.35/32.01 inference(quant_inst,[status(thm)],[])).
% 49.35/32.01 tff(6193,plain,
% 49.35/32.01 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | until2p70(Y) | (~xuntil2p71(X)))) | (~succ(s0, s1)) | until2p70(s1) | (~xuntil2p71(s0))),
% 49.35/32.02 inference(modus_ponens,[status(thm)],[6192, 6191])).
% 49.35/32.02 tff(6194,plain,
% 49.35/32.02 (until2p70(s1) | (~xuntil2p71(s0))),
% 49.35/32.02 inference(unit_resolution,[status(thm)],[6193, 2807, 5996])).
% 49.35/32.02 tff(6195,plain,
% 49.35/32.02 (~xuntil2p71(s0)),
% 49.35/32.02 inference(unit_resolution,[status(thm)],[6194, 6076])).
% 49.35/32.02 tff(6196,plain,
% 49.35/32.02 (((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s0) | xuntil2p71(s0) | (~until2p70(s0)))) <=> ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s0) | xuntil2p71(s0) | (~until2p70(s0)))),
% 49.35/32.02 inference(rewrite,[status(thm)],[])).
% 49.35/32.02 tff(6197,plain,
% 49.35/32.02 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | (node67(s0) | xuntil2p71(s0) | (~until2p70(s0)))),
% 49.35/32.02 inference(quant_inst,[status(thm)],[])).
% 49.35/32.02 tff(6198,plain,
% 49.35/32.02 ((~![X: $i] : (node67(X) | xuntil2p71(X) | (~until2p70(X)))) | node67(s0) | xuntil2p71(s0) | (~until2p70(s0))),
% 49.35/32.02 inference(modus_ponens,[status(thm)],[6197, 6196])).
% 49.35/32.02 tff(6199,plain,
% 49.35/32.02 (xuntil2p71(s0) | (~until2p70(s0))),
% 49.35/32.02 inference(unit_resolution,[status(thm)],[6198, 5981, 5798])).
% 49.35/32.02 tff(6200,plain,
% 49.35/32.02 (~until2p70(s0)),
% 49.35/32.02 inference(unit_resolution,[status(thm)],[6199, 6195])).
% 49.35/32.02 tff(6201,assumption,(~until2p70(s0)), introduced(assumption)).
% 49.35/32.02 tff(6202,assumption,(trans(s9, s0)), introduced(assumption)).
% 49.35/32.02 tff(6203,plain,
% 49.35/32.02 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | until2p70(s0) | (~trans(s9, s0)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (~last(s9)) | (~xuntil69(s9)) | until2p70(s0) | (~trans(s9, s0)))),
% 49.35/32.02 inference(rewrite,[status(thm)],[])).
% 49.35/32.02 tff(6204,plain,
% 49.35/32.02 (((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s0)) | until2p70(s0)) <=> ((~last(s9)) | (~xuntil69(s9)) | until2p70(s0) | (~trans(s9, s0)))),
% 49.35/32.02 inference(rewrite,[status(thm)],[])).
% 49.35/32.02 tff(6205,plain,
% 49.35/32.02 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s0)) | until2p70(s0))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | until2p70(s0) | (~trans(s9, s0))))),
% 49.35/32.02 inference(monotonicity,[status(thm)],[6204])).
% 49.35/32.02 tff(6206,plain,
% 49.35/32.02 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s0)) | until2p70(s0))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (~last(s9)) | (~xuntil69(s9)) | until2p70(s0) | (~trans(s9, s0)))),
% 49.35/32.02 inference(transitivity,[status(thm)],[6205, 6203])).
% 49.35/32.02 tff(6207,plain,
% 49.35/32.02 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s0)) | until2p70(s0))),
% 49.35/32.02 inference(quant_inst,[status(thm)],[])).
% 49.35/32.02 tff(6208,plain,
% 49.35/32.02 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (~last(s9)) | (~xuntil69(s9)) | until2p70(s0) | (~trans(s9, s0))),
% 49.35/32.02 inference(modus_ponens,[status(thm)],[6207, 6206])).
% 49.35/32.02 tff(6209,plain,
% 49.35/32.02 ($false),
% 49.35/32.02 inference(unit_resolution,[status(thm)],[6208, 5967, 6202, 6086, 6087, 6201])).
% 49.35/32.02 tff(6210,plain,((~trans(s9, s0)) | (~xuntil69(s9)) | until2p70(s0)), inference(lemma,lemma(discharge,[]))).
% 49.35/32.02 tff(6211,plain,
% 49.35/32.02 (~trans(s9, s0)),
% 49.35/32.02 inference(unit_resolution,[status(thm)],[6210, 5957, 6200])).
% 49.35/32.02 tff(6212,plain,
% 49.35/32.02 (((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8) | trans(s9, s9)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8) | trans(s9, s9))),
% 49.35/32.02 inference(rewrite,[status(thm)],[])).
% 49.35/32.02 tff(6213,plain,
% 49.35/32.02 ((((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8)) | trans(s9, s9)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8) | trans(s9, s9))),
% 49.35/32.02 inference(rewrite,[status(thm)],[])).
% 49.35/32.02 tff(6214,plain,
% 49.35/32.02 ((((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7)) | trans(s9, s8)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8))),
% 49.35/32.02 inference(rewrite,[status(thm)],[])).
% 49.35/32.02 tff(6215,plain,
% 49.35/32.02 ((((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6)) | trans(s9, s7)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7))),
% 49.35/32.02 inference(rewrite,[status(thm)],[])).
% 49.35/32.02 tff(6216,plain,
% 49.35/32.02 ((((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5)) | trans(s9, s6)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6))),
% 49.35/32.02 inference(rewrite,[status(thm)],[])).
% 49.35/32.02 tff(6217,plain,
% 49.35/32.02 ((((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4)) | trans(s9, s5)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5))),
% 49.35/32.02 inference(rewrite,[status(thm)],[])).
% 49.35/32.02 tff(6218,plain,
% 49.35/32.02 ((((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3)) | trans(s9, s4)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4))),
% 49.35/32.02 inference(rewrite,[status(thm)],[])).
% 49.35/32.02 tff(6219,plain,
% 49.35/32.02 ((((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2)) | trans(s9, s3)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3))),
% 49.35/32.02 inference(rewrite,[status(thm)],[])).
% 49.35/32.02 tff(6220,plain,
% 49.35/32.02 ((((~loop) | trans(s9, s0) | trans(s9, s1)) | trans(s9, s2)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2))),
% 49.35/32.02 inference(rewrite,[status(thm)],[])).
% 49.35/32.02 tff(6221,plain,
% 49.35/32.02 ((((~loop) | trans(s9, s0)) | trans(s9, s1)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1))),
% 49.35/32.02 inference(rewrite,[status(thm)],[])).
% 49.35/32.02 tff(6222,plain,
% 49.35/32.02 (((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) <=> (((~loop) | trans(s9, s0) | trans(s9, s1)) | trans(s9, s2))),
% 49.35/32.02 inference(monotonicity,[status(thm)],[6221])).
% 49.35/32.02 tff(6223,plain,
% 49.35/32.02 (((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2))),
% 49.35/32.02 inference(transitivity,[status(thm)],[6222, 6220])).
% 49.35/32.02 tff(6224,plain,
% 49.35/32.02 ((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) <=> (((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2)) | trans(s9, s3))),
% 49.35/32.02 inference(monotonicity,[status(thm)],[6223])).
% 49.35/32.02 tff(6225,plain,
% 49.35/32.02 ((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3))),
% 49.35/32.02 inference(transitivity,[status(thm)],[6224, 6219])).
% 49.35/32.02 tff(6226,plain,
% 49.35/32.02 (((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) <=> (((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3)) | trans(s9, s4))),
% 49.35/32.02 inference(monotonicity,[status(thm)],[6225])).
% 49.35/32.02 tff(6227,plain,
% 49.35/32.02 (((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4))),
% 49.35/32.02 inference(transitivity,[status(thm)],[6226, 6218])).
% 49.35/32.02 tff(6228,plain,
% 49.35/32.02 ((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) <=> (((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4)) | trans(s9, s5))),
% 49.35/32.02 inference(monotonicity,[status(thm)],[6227])).
% 49.35/32.02 tff(6229,plain,
% 49.35/32.02 ((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5))),
% 49.35/32.02 inference(transitivity,[status(thm)],[6228, 6217])).
% 49.35/32.02 tff(6230,plain,
% 49.35/32.02 (((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) | trans(s9, s6)) <=> (((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5)) | trans(s9, s6))),
% 49.35/32.02 inference(monotonicity,[status(thm)],[6229])).
% 49.35/32.02 tff(6231,plain,
% 49.35/32.02 (((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) | trans(s9, s6)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6))),
% 49.35/32.02 inference(transitivity,[status(thm)],[6230, 6216])).
% 49.35/32.02 tff(6232,plain,
% 49.35/32.02 ((((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) | trans(s9, s6)) | trans(s9, s7)) <=> (((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6)) | trans(s9, s7))),
% 49.35/32.02 inference(monotonicity,[status(thm)],[6231])).
% 49.35/32.02 tff(6233,plain,
% 49.35/32.02 ((((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) | trans(s9, s6)) | trans(s9, s7)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7))),
% 49.35/32.02 inference(transitivity,[status(thm)],[6232, 6215])).
% 49.35/32.02 tff(6234,plain,
% 49.35/32.02 (((((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) | trans(s9, s6)) | trans(s9, s7)) | trans(s9, s8)) <=> (((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7)) | trans(s9, s8))),
% 49.35/32.02 inference(monotonicity,[status(thm)],[6233])).
% 49.35/32.02 tff(6235,plain,
% 49.35/32.02 (((((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) | trans(s9, s6)) | trans(s9, s7)) | trans(s9, s8)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8))),
% 49.35/32.02 inference(transitivity,[status(thm)],[6234, 6214])).
% 49.35/32.02 tff(6236,plain,
% 49.35/32.02 ((((((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) | trans(s9, s6)) | trans(s9, s7)) | trans(s9, s8)) | trans(s9, s9)) <=> (((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8)) | trans(s9, s9))),
% 49.35/32.02 inference(monotonicity,[status(thm)],[6235])).
% 49.35/32.02 tff(6237,plain,
% 49.35/32.02 ((((((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) | trans(s9, s6)) | trans(s9, s7)) | trans(s9, s8)) | trans(s9, s9)) <=> ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8) | trans(s9, s9))),
% 49.35/32.02 inference(transitivity,[status(thm)],[6236, 6213])).
% 49.35/32.02 tff(6238,axiom,(((((((((((~loop) | trans(s9, s0)) | trans(s9, s1)) | trans(s9, s2)) | trans(s9, s3)) | trans(s9, s4)) | trans(s9, s5)) | trans(s9, s6)) | trans(s9, s7)) | trans(s9, s8)) | trans(s9, s9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','bound12')).
% 49.35/32.02 tff(6239,plain,
% 49.35/32.02 ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8) | trans(s9, s9)),
% 49.35/32.02 inference(modus_ponens,[status(thm)],[6238, 6237])).
% 49.35/32.02 tff(6240,plain,
% 49.35/32.02 ((~loop) | trans(s9, s0) | trans(s9, s1) | trans(s9, s2) | trans(s9, s3) | trans(s9, s4) | trans(s9, s5) | trans(s9, s6) | trans(s9, s7) | trans(s9, s8) | trans(s9, s9)),
% 49.35/32.02 inference(modus_ponens,[status(thm)],[6239, 6212])).
% 49.35/32.02 tff(6241,plain,
% 49.35/32.02 (trans(s9, s1)),
% 49.35/32.02 inference(unit_resolution,[status(thm)],[6240, 6211, 6190, 6175, 6164, 6153, 6142, 6131, 6120, 6109, 6098])).
% 49.35/32.02 tff(6242,plain,
% 49.35/32.02 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (until2p70(s1) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s1)))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s1) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s1)))),
% 49.35/32.02 inference(rewrite,[status(thm)],[])).
% 49.35/32.02 tff(6243,plain,
% 49.35/32.02 (((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s1)) | until2p70(s1)) <=> (until2p70(s1) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s1)))),
% 49.35/32.02 inference(rewrite,[status(thm)],[])).
% 49.35/32.02 tff(6244,plain,
% 49.35/32.02 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s1)) | until2p70(s1))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | (until2p70(s1) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s1))))),
% 49.35/32.02 inference(monotonicity,[status(thm)],[6243])).
% 49.35/32.02 tff(6245,plain,
% 49.35/32.02 (((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s1)) | until2p70(s1))) <=> ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s1) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s1)))),
% 49.35/32.02 inference(transitivity,[status(thm)],[6244, 6242])).
% 49.35/32.02 tff(6246,plain,
% 49.35/32.02 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | ((~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s1)) | until2p70(s1))),
% 49.35/32.02 inference(quant_inst,[status(thm)],[])).
% 49.35/32.02 tff(6247,plain,
% 49.35/32.02 ((~![Y: $i, X: $i] : ((~last(X)) | (~xuntil69(X)) | (~trans(X, Y)) | until2p70(Y))) | until2p70(s1) | (~last(s9)) | (~xuntil69(s9)) | (~trans(s9, s1))),
% 49.35/32.02 inference(modus_ponens,[status(thm)],[6246, 6245])).
% 49.35/32.02 tff(6248,plain,
% 49.35/32.02 ($false),
% 49.35/32.02 inference(unit_resolution,[status(thm)],[6247, 5967, 6241, 6086, 6076, 5957])).
% 49.35/32.02 tff(6249,plain,(node67(s2) | node67(s9) | node67(s8) | node67(s7) | node67(s6) | node67(s5) | node67(s4) | node67(s3) | node67(s1)), inference(lemma,lemma(discharge,[]))).
% 49.35/32.02 tff(6250,plain,
% 49.35/32.02 (node67(s2) | node67(s9) | node67(s8) | node67(s7) | node67(s6) | node67(s5) | node67(s4) | node67(s3)),
% 49.35/32.02 inference(unit_resolution,[status(thm)],[6249, 5784])).
% 49.35/32.02 tff(6251,plain,
% 49.35/32.02 (node67(s9) | node67(s8) | node67(s7) | node67(s6) | node67(s5) | node67(s4) | node67(s3)),
% 49.35/32.02 inference(unit_resolution,[status(thm)],[6250, 5747])).
% 49.35/32.02 tff(6252,plain,
% 49.35/32.02 (node67(s9)),
% 49.35/32.02 inference(unit_resolution,[status(thm)],[6251, 5698, 5671, 5670, 5669, 5668, 5667])).
% 49.35/32.02 tff(6253,assumption,(~m_processor_v_writable(c_p1, s9)), introduced(assumption)).
% 49.35/32.02 tff(6254,assumption,(node67(s9)), introduced(assumption)).
% 49.35/32.02 tff(6255,plain,
% 49.35/32.02 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s9) | (~node67(s9)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | m_processor_v_writable(c_p1, s9) | (~node67(s9)))),
% 49.35/32.02 inference(rewrite,[status(thm)],[])).
% 49.35/32.02 tff(6256,plain,
% 49.35/32.02 ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s9) | (~node67(s9)))),
% 49.35/32.02 inference(quant_inst,[status(thm)],[])).
% 49.35/32.02 tff(6257,plain,
% 49.35/32.02 ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | m_processor_v_writable(c_p1, s9) | (~node67(s9))),
% 49.35/32.02 inference(modus_ponens,[status(thm)],[6256, 6255])).
% 49.35/32.02 tff(6258,plain,
% 49.35/32.02 ($false),
% 49.35/32.02 inference(unit_resolution,[status(thm)],[6257, 98, 6254, 6253])).
% 49.35/32.02 tff(6259,plain,((~node67(s9)) | m_processor_v_writable(c_p1, s9)), inference(lemma,lemma(discharge,[]))).
% 49.35/32.02 tff(6260,plain,
% 49.35/32.02 (m_processor_v_writable(c_p1, s9)),
% 49.35/32.02 inference(unit_resolution,[status(thm)],[6259, 6252])).
% 49.35/32.02 tff(6261,assumption,(m_processor_v_writable(c_p1, s9)), introduced(assumption)).
% 49.35/32.02 tff(6262,assumption,(~node56(c_p1, s9)), introduced(assumption)).
% 49.35/32.02 tff(6263,plain,
% 49.35/32.02 (((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p1, s9)) | node56(c_p1, s9))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p1, s9)) | node56(c_p1, s9))),
% 49.35/32.02 inference(rewrite,[status(thm)],[])).
% 49.35/32.02 tff(6264,plain,
% 49.35/32.02 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p1, s9)) | node56(c_p1, s9))),
% 49.35/32.02 inference(quant_inst,[status(thm)],[])).
% 49.35/32.02 tff(6265,plain,
% 49.35/32.02 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p1, s9)) | node56(c_p1, s9)),
% 49.35/32.02 inference(modus_ponens,[status(thm)],[6264, 6263])).
% 49.35/32.02 tff(6266,plain,
% 49.35/32.02 ($false),
% 49.35/32.02 inference(unit_resolution,[status(thm)],[6265, 28, 6262, 6261])).
% 49.35/32.02 tff(6267,plain,((~m_processor_v_writable(c_p1, s9)) | node56(c_p1, s9)), inference(lemma,lemma(discharge,[]))).
% 49.35/32.02 tff(6268,plain,
% 49.35/32.02 (node56(c_p1, s9)),
% 49.35/32.02 inference(unit_resolution,[status(thm)],[6267, 6260])).
% 49.35/32.02 tff(6269,assumption,(node56(c_p1, s9)), introduced(assumption)).
% 49.35/32.02 tff(6270,assumption,(~m_processor_v_state(c_p1, s9, c_owned)), introduced(assumption)).
% 49.35/32.02 tff(6271,plain,
% 49.35/32.02 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s9, c_owned) | (~node56(c_p1, s9)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p1, s9, c_owned) | (~node56(c_p1, s9)))),
% 49.35/32.02 inference(rewrite,[status(thm)],[])).
% 49.35/32.02 tff(6272,plain,
% 49.35/32.02 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s9, c_owned) | (~node56(c_p1, s9)))),
% 49.35/32.02 inference(quant_inst,[status(thm)],[])).
% 49.35/32.02 tff(6273,plain,
% 49.35/32.02 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p1, s9, c_owned) | (~node56(c_p1, s9))),
% 49.35/32.02 inference(modus_ponens,[status(thm)],[6272, 6271])).
% 49.35/32.02 tff(6274,plain,
% 49.35/32.02 ($false),
% 49.35/32.02 inference(unit_resolution,[status(thm)],[6273, 13, 6270, 6269])).
% 49.35/32.02 tff(6275,plain,((~node56(c_p1, s9)) | m_processor_v_state(c_p1, s9, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.35/32.02 tff(6276,plain,
% 49.35/32.02 (m_processor_v_state(c_p1, s9, c_owned)),
% 49.35/32.02 inference(unit_resolution,[status(thm)],[6275, 6268])).
% 49.35/32.02 tff(6277,plain,
% 49.35/32.02 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s9, c_invalid)) | (~m_processor_v_state(c_p1, s9, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s9, c_invalid)) | (~m_processor_v_state(c_p1, s9, c_owned)))),
% 49.35/32.02 inference(rewrite,[status(thm)],[])).
% 49.35/32.02 tff(6278,plain,
% 49.35/32.02 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s9, c_invalid)) | (~m_processor_v_state(c_p1, s9, c_owned)))),
% 49.35/32.02 inference(quant_inst,[status(thm)],[])).
% 49.35/32.02 tff(6279,plain,
% 49.35/32.02 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s9, c_invalid)) | (~m_processor_v_state(c_p1, s9, c_owned))),
% 49.35/32.02 inference(modus_ponens,[status(thm)],[6278, 6277])).
% 49.35/32.02 tff(6280,plain,
% 49.35/32.02 (~m_processor_v_state(c_p1, s9, c_invalid)),
% 49.35/32.02 inference(unit_resolution,[status(thm)],[6279, 137, 6276])).
% 49.35/32.02 tff(6281,plain,
% 49.35/32.02 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s9, c_owned)) | (~m_processor_v_state(c_p1, s9, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s9, c_owned)) | (~m_processor_v_state(c_p1, s9, c_shared)))),
% 49.35/32.02 inference(rewrite,[status(thm)],[])).
% 49.35/32.02 tff(6282,plain,
% 49.35/32.02 (((~m_processor_v_state(c_p1, s9, c_shared)) | (~m_processor_v_state(c_p1, s9, c_owned))) <=> ((~m_processor_v_state(c_p1, s9, c_owned)) | (~m_processor_v_state(c_p1, s9, c_shared)))),
% 49.35/32.03 inference(rewrite,[status(thm)],[])).
% 49.35/32.03 tff(6283,plain,
% 49.35/32.03 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s9, c_shared)) | (~m_processor_v_state(c_p1, s9, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s9, c_owned)) | (~m_processor_v_state(c_p1, s9, c_shared))))),
% 49.35/32.03 inference(monotonicity,[status(thm)],[6282])).
% 49.35/32.03 tff(6284,plain,
% 49.35/32.03 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s9, c_shared)) | (~m_processor_v_state(c_p1, s9, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s9, c_owned)) | (~m_processor_v_state(c_p1, s9, c_shared)))),
% 49.35/32.03 inference(transitivity,[status(thm)],[6283, 6281])).
% 49.35/32.03 tff(6285,plain,
% 49.35/32.03 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s9, c_shared)) | (~m_processor_v_state(c_p1, s9, c_owned)))),
% 49.35/32.03 inference(quant_inst,[status(thm)],[])).
% 49.35/32.03 tff(6286,plain,
% 49.35/32.03 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s9, c_owned)) | (~m_processor_v_state(c_p1, s9, c_shared))),
% 49.35/32.03 inference(modus_ponens,[status(thm)],[6285, 6284])).
% 49.35/32.03 tff(6287,plain,
% 49.35/32.03 (~m_processor_v_state(c_p1, s9, c_shared)),
% 49.35/32.03 inference(unit_resolution,[status(thm)],[6286, 121, 6276])).
% 49.35/32.03 tff(6288,assumption,(~m_processor_v_state(c_p1, s9, c_invalid)), introduced(assumption)).
% 49.35/32.03 tff(6289,assumption,(~m_processor_v_state(c_p1, s9, c_shared)), introduced(assumption)).
% 49.35/32.03 tff(6290,assumption,(~m_processor_v_waiting(c_p1, s9)), introduced(assumption)).
% 49.35/32.03 tff(6291,plain,
% 49.35/32.03 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p1, s9, c_owned) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_state(c_p1, s9, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p1, s9, c_owned) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_state(c_p1, s9, c_invalid))),
% 49.35/32.03 inference(rewrite,[status(thm)],[])).
% 49.35/32.03 tff(6292,plain,
% 49.35/32.03 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p1, s9, c_owned) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_state(c_p1, s9, c_invalid))),
% 49.35/32.03 inference(quant_inst,[status(thm)],[])).
% 49.35/32.03 tff(6293,plain,
% 49.35/32.03 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p1, s9, c_owned) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_state(c_p1, s9, c_invalid)),
% 49.35/32.03 inference(modus_ponens,[status(thm)],[6292, 6291])).
% 49.35/32.03 tff(6294,plain,
% 49.35/32.03 ($false),
% 49.35/32.03 inference(unit_resolution,[status(thm)],[6293, 153, 6289, 6288, 6270])).
% 49.35/32.03 tff(6295,plain,(m_processor_v_state(c_p1, s9, c_owned) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_state(c_p1, s9, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.35/32.03 tff(6296,plain,
% 49.35/32.03 (m_processor_v_state(c_p1, s9, c_owned)),
% 49.35/32.03 inference(unit_resolution,[status(thm)],[6295, 6289, 6288])).
% 49.35/32.03 tff(6297,assumption,(~m_processor_v_CMD(c_p1, s8, c_read_h_owned)), introduced(assumption)).
% 49.35/32.03 tff(6298,assumption,(node34(c_p1, s8, s9)), introduced(assumption)).
% 49.35/32.03 tff(6299,plain,
% 49.35/32.03 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)) | m_processor_v_state(c_p1, s9, c_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)) | m_processor_v_state(c_p1, s9, c_shared))),
% 49.35/32.03 inference(rewrite,[status(thm)],[])).
% 49.35/32.03 tff(6300,plain,
% 49.35/32.03 (((~node34(c_p1, s8, s9)) | m_processor_v_state(c_p1, s9, c_shared) | (~m_processor_v_CMD(c_p1, s8, c_read_h_shared))) <=> ((~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)) | m_processor_v_state(c_p1, s9, c_shared))),
% 49.35/32.03 inference(rewrite,[status(thm)],[])).
% 49.35/32.03 tff(6301,plain,
% 49.35/32.03 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s8, s9)) | m_processor_v_state(c_p1, s9, c_shared) | (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)) | m_processor_v_state(c_p1, s9, c_shared)))),
% 49.35/32.03 inference(monotonicity,[status(thm)],[6300])).
% 49.35/32.03 tff(6302,plain,
% 49.35/32.03 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s8, s9)) | m_processor_v_state(c_p1, s9, c_shared) | (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)) | m_processor_v_state(c_p1, s9, c_shared))),
% 49.35/32.03 inference(transitivity,[status(thm)],[6301, 6299])).
% 49.35/32.03 tff(6303,plain,
% 49.35/32.03 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s8, s9)) | m_processor_v_state(c_p1, s9, c_shared) | (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)))),
% 49.35/32.03 inference(quant_inst,[status(thm)],[])).
% 49.35/32.03 tff(6304,plain,
% 49.35/32.03 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)) | m_processor_v_state(c_p1, s9, c_shared)),
% 49.35/32.03 inference(modus_ponens,[status(thm)],[6303, 6302])).
% 49.35/32.03 tff(6305,plain,
% 49.35/32.03 ((~m_processor_v_CMD(c_p1, s8, c_read_h_shared)) | m_processor_v_state(c_p1, s9, c_shared)),
% 49.35/32.03 inference(unit_resolution,[status(thm)],[6304, 416, 6298])).
% 49.35/32.03 tff(6306,plain,
% 49.35/32.03 (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)),
% 49.35/32.03 inference(unit_resolution,[status(thm)],[6305, 6289])).
% 49.35/32.03 tff(6307,plain,
% 49.35/32.03 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_invalid)) | m_processor_v_state(c_p1, s9, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_invalid)) | m_processor_v_state(c_p1, s9, c_invalid))),
% 49.35/32.03 inference(rewrite,[status(thm)],[])).
% 49.35/32.03 tff(6308,plain,
% 49.35/32.03 (((~node34(c_p1, s8, s9)) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_state(c_p1, s9, c_invalid) | (~m_processor_v_CMD(c_p1, s8, c_write_h_invalid))) <=> (m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_invalid)) | m_processor_v_state(c_p1, s9, c_invalid))),
% 49.42/32.03 inference(rewrite,[status(thm)],[])).
% 49.42/32.03 tff(6309,plain,
% 49.42/32.03 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s8, s9)) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_state(c_p1, s9, c_invalid) | (~m_processor_v_CMD(c_p1, s8, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_invalid)) | m_processor_v_state(c_p1, s9, c_invalid)))),
% 49.42/32.03 inference(monotonicity,[status(thm)],[6308])).
% 49.42/32.03 tff(6310,plain,
% 49.42/32.03 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s8, s9)) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_state(c_p1, s9, c_invalid) | (~m_processor_v_CMD(c_p1, s8, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_invalid)) | m_processor_v_state(c_p1, s9, c_invalid))),
% 49.42/32.03 inference(transitivity,[status(thm)],[6309, 6307])).
% 49.42/32.03 tff(6311,plain,
% 49.42/32.03 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s8, s9)) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_state(c_p1, s9, c_invalid) | (~m_processor_v_CMD(c_p1, s8, c_write_h_invalid)))),
% 49.42/32.03 inference(quant_inst,[status(thm)],[])).
% 49.42/32.03 tff(6312,plain,
% 49.42/32.03 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_invalid)) | m_processor_v_state(c_p1, s9, c_invalid)),
% 49.42/32.03 inference(modus_ponens,[status(thm)],[6311, 6310])).
% 49.42/32.03 tff(6313,plain,
% 49.42/32.03 (m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s8, c_write_h_invalid)) | m_processor_v_state(c_p1, s9, c_invalid)),
% 49.42/32.03 inference(unit_resolution,[status(thm)],[6312, 512, 6298])).
% 49.42/32.03 tff(6314,plain,
% 49.42/32.03 (~m_processor_v_CMD(c_p1, s8, c_write_h_invalid)),
% 49.42/32.03 inference(unit_resolution,[status(thm)],[6313, 6297, 6288, 6306])).
% 49.42/32.03 tff(6315,plain,
% 49.42/32.03 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p1, s9, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p1, s9, c_invalid))),
% 49.42/32.03 inference(rewrite,[status(thm)],[])).
% 49.42/32.03 tff(6316,plain,
% 49.42/32.03 (((~node34(c_p1, s8, s9)) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid))) <=> (m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p1, s9, c_invalid))),
% 49.42/32.03 inference(rewrite,[status(thm)],[])).
% 49.42/32.03 tff(6317,plain,
% 49.42/32.03 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s8, s9)) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p1, s9, c_invalid)))),
% 49.42/32.03 inference(monotonicity,[status(thm)],[6316])).
% 49.42/32.03 tff(6318,plain,
% 49.42/32.03 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s8, s9)) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p1, s9, c_invalid))),
% 49.42/32.03 inference(transitivity,[status(thm)],[6317, 6315])).
% 49.42/32.03 tff(6319,plain,
% 49.42/32.03 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s8, s9)) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid)))),
% 49.42/32.03 inference(quant_inst,[status(thm)],[])).
% 49.42/32.03 tff(6320,plain,
% 49.42/32.03 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p1, s9, c_invalid)),
% 49.42/32.03 inference(modus_ponens,[status(thm)],[6319, 6318])).
% 49.42/32.03 tff(6321,plain,
% 49.42/32.03 (m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p1, s9, c_invalid)),
% 49.42/32.03 inference(unit_resolution,[status(thm)],[6320, 438, 6298])).
% 49.42/32.03 tff(6322,plain,
% 49.42/32.03 (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid)),
% 49.42/32.03 inference(unit_resolution,[status(thm)],[6321, 6314, 6288, 6297, 6306])).
% 49.42/32.03 tff(6323,plain,
% 49.42/32.03 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_shared)) | m_processor_v_state(c_p1, s9, c_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_shared)) | m_processor_v_state(c_p1, s9, c_shared))),
% 49.42/32.03 inference(rewrite,[status(thm)],[])).
% 49.42/32.03 tff(6324,plain,
% 49.42/32.03 (((~node34(c_p1, s8, s9)) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s8, c_write_h_shared))) <=> (m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_shared)) | m_processor_v_state(c_p1, s9, c_shared))),
% 49.42/32.03 inference(rewrite,[status(thm)],[])).
% 49.42/32.03 tff(6325,plain,
% 49.42/32.03 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p1, s8, s9)) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s8, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_shared)) | m_processor_v_state(c_p1, s9, c_shared)))),
% 49.42/32.03 inference(monotonicity,[status(thm)],[6324])).
% 49.42/32.03 tff(6326,plain,
% 49.42/32.03 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p1, s8, s9)) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s8, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_shared)) | m_processor_v_state(c_p1, s9, c_shared))),
% 49.42/32.03 inference(transitivity,[status(thm)],[6325, 6323])).
% 49.42/32.03 tff(6327,plain,
% 49.42/32.03 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p1, s8, s9)) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s8, c_write_h_shared)))),
% 49.42/32.03 inference(quant_inst,[status(thm)],[])).
% 49.42/32.03 tff(6328,plain,
% 49.42/32.03 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_shared)) | m_processor_v_state(c_p1, s9, c_shared)),
% 49.42/32.03 inference(modus_ponens,[status(thm)],[6327, 6326])).
% 49.42/32.03 tff(6329,plain,
% 49.42/32.03 (m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s8, c_write_h_shared)) | m_processor_v_state(c_p1, s9, c_shared)),
% 49.42/32.03 inference(unit_resolution,[status(thm)],[6328, 456, 6298])).
% 49.42/32.03 tff(6330,plain,
% 49.42/32.03 (~m_processor_v_CMD(c_p1, s8, c_write_h_shared)),
% 49.42/32.03 inference(unit_resolution,[status(thm)],[6329, 6322, 6289, 6297, 6306, 6314])).
% 49.42/32.03 tff(6331,assumption,(~node33(c_p1, s8, s9)), introduced(assumption)).
% 49.42/32.03 tff(6332,plain,
% 49.42/32.03 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s8, s9) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | node33(c_p1, s8, s9) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9)))),
% 49.42/32.04 inference(rewrite,[status(thm)],[])).
% 49.42/32.04 tff(6333,plain,
% 49.42/32.04 ((node33(c_p1, s8, s9) | (~node34(c_p1, s8, s9)) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s8, c_write_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared)) <=> (node33(c_p1, s8, s9) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9)))),
% 49.42/32.04 inference(rewrite,[status(thm)],[])).
% 49.42/32.04 tff(6334,plain,
% 49.42/32.04 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s8, s9) | (~node34(c_p1, s8, s9)) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s8, c_write_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s8, s9) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9))))),
% 49.42/32.04 inference(monotonicity,[status(thm)],[6333])).
% 49.42/32.04 tff(6335,plain,
% 49.42/32.04 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s8, s9) | (~node34(c_p1, s8, s9)) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s8, c_write_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | node33(c_p1, s8, s9) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9)))),
% 49.42/32.04 inference(transitivity,[status(thm)],[6334, 6332])).
% 49.42/32.04 tff(6336,plain,
% 49.42/32.04 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s8, s9) | (~node34(c_p1, s8, s9)) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s8, c_write_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared))),
% 49.42/32.04 inference(quant_inst,[status(thm)],[])).
% 49.42/32.04 tff(6337,plain,
% 49.42/32.04 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | node33(c_p1, s8, s9) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9))),
% 49.42/32.04 inference(modus_ponens,[status(thm)],[6336, 6335])).
% 49.42/32.04 tff(6338,plain,
% 49.42/32.04 (node33(c_p1, s8, s9) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_owned)),
% 49.42/32.04 inference(unit_resolution,[status(thm)],[6337, 474, 6298])).
% 49.42/32.04 tff(6339,plain,
% 49.42/32.04 (m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared)),
% 49.42/32.04 inference(unit_resolution,[status(thm)],[6338, 6330, 6297, 6306, 6331, 6314, 6322])).
% 49.42/32.04 tff(6340,plain,
% 49.42/32.04 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p1, s8, c_write_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared)) | m_processor_v_state(c_p1, s9, c_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p1, s8, c_write_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared)) | m_processor_v_state(c_p1, s9, c_shared))),
% 49.42/32.04 inference(rewrite,[status(thm)],[])).
% 49.42/32.04 tff(6341,plain,
% 49.42/32.04 (((~node34(c_p1, s8, s9)) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s8, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared))) <=> (m_processor_v_CMD(c_p1, s8, c_write_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared)) | m_processor_v_state(c_p1, s9, c_shared))),
% 49.42/32.04 inference(rewrite,[status(thm)],[])).
% 49.42/32.04 tff(6342,plain,
% 49.42/32.04 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s8, s9)) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s8, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p1, s8, c_write_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared)) | m_processor_v_state(c_p1, s9, c_shared)))),
% 49.42/32.04 inference(monotonicity,[status(thm)],[6341])).
% 49.42/32.04 tff(6343,plain,
% 49.42/32.04 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s8, s9)) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s8, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p1, s8, c_write_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared)) | m_processor_v_state(c_p1, s9, c_shared))),
% 49.42/32.04 inference(transitivity,[status(thm)],[6342, 6340])).
% 49.42/32.04 tff(6344,plain,
% 49.42/32.04 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s8, s9)) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s8, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared)))),
% 49.42/32.04 inference(quant_inst,[status(thm)],[])).
% 49.42/32.04 tff(6345,plain,
% 49.42/32.04 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p1, s8, c_write_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node34(c_p1, s8, s9)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared)) | m_processor_v_state(c_p1, s9, c_shared)),
% 49.42/32.04 inference(modus_ponens,[status(thm)],[6344, 6343])).
% 49.42/32.04 tff(6346,plain,
% 49.42/32.04 (m_processor_v_CMD(c_p1, s8, c_write_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared)) | m_processor_v_state(c_p1, s9, c_shared)),
% 49.42/32.04 inference(unit_resolution,[status(thm)],[6345, 492, 6298])).
% 49.42/32.04 tff(6347,plain,
% 49.42/32.04 ($false),
% 49.42/32.04 inference(unit_resolution,[status(thm)],[6346, 6339, 6330, 6289, 6297, 6306, 6314, 6322])).
% 49.42/32.04 tff(6348,plain,(m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_state(c_p1, s9, c_shared) | (~node34(c_p1, s8, s9)) | node33(c_p1, s8, s9) | m_processor_v_state(c_p1, s9, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.42/32.04 tff(6349,plain,
% 49.42/32.04 (node33(c_p1, s8, s9)),
% 49.42/32.04 inference(unit_resolution,[status(thm)],[6348, 6289, 6298, 6288, 6297])).
% 49.42/32.04 tff(6350,plain,
% 49.42/32.04 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p1, s8, c_owned) | (~node33(c_p1, s8, s9)) | (~m_processor_v_state(c_p1, s9, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p1, s8, c_owned) | (~node33(c_p1, s8, s9)) | (~m_processor_v_state(c_p1, s9, c_owned)))),
% 49.42/32.04 inference(rewrite,[status(thm)],[])).
% 49.42/32.04 tff(6351,plain,
% 49.42/32.04 ((m_processor_v_state(c_p1, s8, c_owned) | (~m_processor_v_state(c_p1, s9, c_owned)) | (~node33(c_p1, s8, s9))) <=> (m_processor_v_state(c_p1, s8, c_owned) | (~node33(c_p1, s8, s9)) | (~m_processor_v_state(c_p1, s9, c_owned)))),
% 49.42/32.04 inference(rewrite,[status(thm)],[])).
% 49.42/32.04 tff(6352,plain,
% 49.42/32.04 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p1, s8, c_owned) | (~m_processor_v_state(c_p1, s9, c_owned)) | (~node33(c_p1, s8, s9)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p1, s8, c_owned) | (~node33(c_p1, s8, s9)) | (~m_processor_v_state(c_p1, s9, c_owned))))),
% 49.42/32.04 inference(monotonicity,[status(thm)],[6351])).
% 49.42/32.04 tff(6353,plain,
% 49.42/32.04 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p1, s8, c_owned) | (~m_processor_v_state(c_p1, s9, c_owned)) | (~node33(c_p1, s8, s9)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p1, s8, c_owned) | (~node33(c_p1, s8, s9)) | (~m_processor_v_state(c_p1, s9, c_owned)))),
% 49.42/32.04 inference(transitivity,[status(thm)],[6352, 6350])).
% 49.42/32.04 tff(6354,plain,
% 49.42/32.04 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p1, s8, c_owned) | (~m_processor_v_state(c_p1, s9, c_owned)) | (~node33(c_p1, s8, s9)))),
% 49.42/32.04 inference(quant_inst,[status(thm)],[])).
% 49.42/32.04 tff(6355,plain,
% 49.42/32.04 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p1, s8, c_owned) | (~node33(c_p1, s8, s9)) | (~m_processor_v_state(c_p1, s9, c_owned))),
% 49.42/32.04 inference(modus_ponens,[status(thm)],[6354, 6353])).
% 49.42/32.04 tff(6356,plain,
% 49.42/32.04 ($false),
% 49.42/32.04 inference(unit_resolution,[status(thm)],[6355, 830, 5672, 6296, 6349])).
% 49.42/32.04 tff(6357,plain,(m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_state(c_p1, s8, c_owned) | (~node34(c_p1, s8, s9)) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_CMD(c_p1, s8, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.42/32.04 tff(6358,plain,
% 49.42/32.04 (~node34(c_p1, s8, s9)),
% 49.42/32.04 inference(unit_resolution,[status(thm)],[6357, 5672, 6297, 6288, 6289])).
% 49.42/32.04 tff(6359,assumption,(~m_processor_v_master(c_p1, s8)), introduced(assumption)).
% 49.42/32.04 tff(6360,assumption,(~m_processor_v_state(c_p1, s8, c_shared)), introduced(assumption)).
% 49.42/32.04 tff(6361,plain,
% 49.42/32.04 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p1, s8, c_shared) | (~node36(c_p1, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p1, s8, c_shared) | (~node36(c_p1, s8)))),
% 49.42/32.04 inference(rewrite,[status(thm)],[])).
% 49.42/32.04 tff(6362,plain,
% 49.42/32.04 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p1, s8, c_shared) | (~node36(c_p1, s8)))),
% 49.42/32.04 inference(quant_inst,[status(thm)],[])).
% 49.42/32.04 tff(6363,plain,
% 49.42/32.04 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p1, s8, c_shared) | (~node36(c_p1, s8))),
% 49.42/32.04 inference(modus_ponens,[status(thm)],[6362, 6361])).
% 49.42/32.04 tff(6364,plain,
% 49.42/32.04 (~node36(c_p1, s8)),
% 49.42/32.04 inference(unit_resolution,[status(thm)],[6363, 167, 6360])).
% 49.42/32.04 tff(6365,assumption,(m_processor_v_state(c_p1, s9, c_owned)), introduced(assumption)).
% 49.42/32.04 tff(6366,plain,
% 49.42/32.04 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s8, c_owned) | (~node37(c_p1, s8, s9)) | (~m_processor_v_state(c_p1, s9, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s8, c_owned) | (~node37(c_p1, s8, s9)) | (~m_processor_v_state(c_p1, s9, c_owned)))),
% 49.42/32.04 inference(rewrite,[status(thm)],[])).
% 49.42/32.04 tff(6367,plain,
% 49.42/32.04 ((m_processor_v_state(c_p1, s8, c_owned) | (~m_processor_v_state(c_p1, s9, c_owned)) | (~node37(c_p1, s8, s9))) <=> (m_processor_v_state(c_p1, s8, c_owned) | (~node37(c_p1, s8, s9)) | (~m_processor_v_state(c_p1, s9, c_owned)))),
% 49.42/32.04 inference(rewrite,[status(thm)],[])).
% 49.42/32.04 tff(6368,plain,
% 49.42/32.04 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s8, c_owned) | (~m_processor_v_state(c_p1, s9, c_owned)) | (~node37(c_p1, s8, s9)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s8, c_owned) | (~node37(c_p1, s8, s9)) | (~m_processor_v_state(c_p1, s9, c_owned))))),
% 49.42/32.04 inference(monotonicity,[status(thm)],[6367])).
% 49.42/32.04 tff(6369,plain,
% 49.42/32.04 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s8, c_owned) | (~m_processor_v_state(c_p1, s9, c_owned)) | (~node37(c_p1, s8, s9)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s8, c_owned) | (~node37(c_p1, s8, s9)) | (~m_processor_v_state(c_p1, s9, c_owned)))),
% 49.42/32.04 inference(transitivity,[status(thm)],[6368, 6366])).
% 49.42/32.04 tff(6370,plain,
% 49.42/32.04 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s8, c_owned) | (~m_processor_v_state(c_p1, s9, c_owned)) | (~node37(c_p1, s8, s9)))),
% 49.42/32.04 inference(quant_inst,[status(thm)],[])).
% 49.42/32.04 tff(6371,plain,
% 49.42/32.04 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s8, c_owned) | (~node37(c_p1, s8, s9)) | (~m_processor_v_state(c_p1, s9, c_owned))),
% 49.42/32.04 inference(modus_ponens,[status(thm)],[6370, 6369])).
% 49.42/32.04 tff(6372,plain,
% 49.42/32.04 (~node37(c_p1, s8, s9)),
% 49.42/32.04 inference(unit_resolution,[status(thm)],[6371, 182, 5672, 6365])).
% 49.42/32.04 tff(6373,assumption,(~node38(c_p1, s8, s9)), introduced(assumption)).
% 49.42/32.04 tff(6374,plain,
% 49.42/32.04 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s8, s9)) | trans(s8, s9))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s8, s9)) | trans(s8, s9))),
% 49.42/32.04 inference(rewrite,[status(thm)],[])).
% 49.42/32.04 tff(6375,plain,
% 49.42/32.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s8, s9)) | trans(s8, s9))),
% 49.42/32.04 inference(quant_inst,[status(thm)],[])).
% 49.42/32.04 tff(6376,plain,
% 49.42/32.04 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s8, s9)) | trans(s8, s9)),
% 49.42/32.04 inference(modus_ponens,[status(thm)],[6375, 6374])).
% 49.42/32.04 tff(6377,plain,
% 49.42/32.04 (trans(s8, s9)),
% 49.42/32.04 inference(unit_resolution,[status(thm)],[6376, 5943, 196])).
% 49.42/32.04 tff(6378,plain,
% 49.42/32.04 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s8, s9)) | node38(c_p1, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s8, s9)) | node38(c_p1, s8, s9))),
% 49.42/32.04 inference(rewrite,[status(thm)],[])).
% 49.42/32.04 tff(6379,plain,
% 49.42/32.04 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s8, s9)) | node38(c_p1, s8, s9))),
% 49.42/32.04 inference(quant_inst,[status(thm)],[])).
% 49.42/32.04 tff(6380,plain,
% 49.42/32.04 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s8, s9)) | node38(c_p1, s8, s9)),
% 49.42/32.04 inference(modus_ponens,[status(thm)],[6379, 6378])).
% 49.42/32.04 tff(6381,plain,
% 49.42/32.04 ($false),
% 49.42/32.04 inference(unit_resolution,[status(thm)],[6380, 210, 6377, 6373])).
% 49.42/32.04 tff(6382,plain,(node38(c_p1, s8, s9)), inference(lemma,lemma(discharge,[]))).
% 49.42/32.04 tff(6383,plain,
% 49.42/32.04 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_master(c_p1, s8) | node37(c_p1, s8, s9) | node36(c_p1, s8) | m_processor_v_abort(c_p1, s8) | (~node38(c_p1, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_master(c_p1, s8) | node37(c_p1, s8, s9) | node36(c_p1, s8) | m_processor_v_abort(c_p1, s8) | (~node38(c_p1, s8, s9)))),
% 49.42/32.05 inference(rewrite,[status(thm)],[])).
% 49.42/32.05 tff(6384,plain,
% 49.42/32.05 ((m_processor_v_state(c_p1, s8, c_shared) | node36(c_p1, s8) | m_processor_v_master(c_p1, s8) | node37(c_p1, s8, s9) | (~node38(c_p1, s8, s9)) | m_processor_v_abort(c_p1, s8)) <=> (m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_master(c_p1, s8) | node37(c_p1, s8, s9) | node36(c_p1, s8) | m_processor_v_abort(c_p1, s8) | (~node38(c_p1, s8, s9)))),
% 49.42/32.05 inference(rewrite,[status(thm)],[])).
% 49.42/32.05 tff(6385,plain,
% 49.42/32.05 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s8, c_shared) | node36(c_p1, s8) | m_processor_v_master(c_p1, s8) | node37(c_p1, s8, s9) | (~node38(c_p1, s8, s9)) | m_processor_v_abort(c_p1, s8))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_master(c_p1, s8) | node37(c_p1, s8, s9) | node36(c_p1, s8) | m_processor_v_abort(c_p1, s8) | (~node38(c_p1, s8, s9))))),
% 49.42/32.05 inference(monotonicity,[status(thm)],[6384])).
% 49.42/32.05 tff(6386,plain,
% 49.42/32.05 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s8, c_shared) | node36(c_p1, s8) | m_processor_v_master(c_p1, s8) | node37(c_p1, s8, s9) | (~node38(c_p1, s8, s9)) | m_processor_v_abort(c_p1, s8))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_master(c_p1, s8) | node37(c_p1, s8, s9) | node36(c_p1, s8) | m_processor_v_abort(c_p1, s8) | (~node38(c_p1, s8, s9)))),
% 49.42/32.05 inference(transitivity,[status(thm)],[6385, 6383])).
% 49.42/32.05 tff(6387,plain,
% 49.42/32.05 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s8, c_shared) | node36(c_p1, s8) | m_processor_v_master(c_p1, s8) | node37(c_p1, s8, s9) | (~node38(c_p1, s8, s9)) | m_processor_v_abort(c_p1, s8))),
% 49.42/32.05 inference(quant_inst,[status(thm)],[])).
% 49.42/32.05 tff(6388,plain,
% 49.42/32.05 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_master(c_p1, s8) | node37(c_p1, s8, s9) | node36(c_p1, s8) | m_processor_v_abort(c_p1, s8) | (~node38(c_p1, s8, s9))),
% 49.42/32.05 inference(modus_ponens,[status(thm)],[6387, 6386])).
% 49.42/32.05 tff(6389,plain,
% 49.42/32.05 (m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_master(c_p1, s8) | node37(c_p1, s8, s9) | node36(c_p1, s8) | m_processor_v_abort(c_p1, s8)),
% 49.42/32.05 inference(unit_resolution,[status(thm)],[6388, 225, 6382])).
% 49.42/32.05 tff(6390,plain,
% 49.42/32.05 (m_processor_v_abort(c_p1, s8)),
% 49.42/32.05 inference(unit_resolution,[status(thm)],[6389, 6372, 6359, 6360, 6364])).
% 49.42/32.05 tff(6391,plain,
% 49.42/32.05 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s8, s9) | (~node38(c_p1, s8, s9)) | (~m_processor_v_abort(c_p1, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p1, s8, s9) | (~node38(c_p1, s8, s9)) | (~m_processor_v_abort(c_p1, s8)))),
% 49.42/32.05 inference(rewrite,[status(thm)],[])).
% 49.42/32.05 tff(6392,plain,
% 49.42/32.05 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s8, s9) | (~node38(c_p1, s8, s9)) | (~m_processor_v_abort(c_p1, s8)))),
% 49.42/32.05 inference(quant_inst,[status(thm)],[])).
% 49.42/32.05 tff(6393,plain,
% 49.42/32.05 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p1, s8, s9) | (~node38(c_p1, s8, s9)) | (~m_processor_v_abort(c_p1, s8))),
% 49.42/32.05 inference(modus_ponens,[status(thm)],[6392, 6391])).
% 49.42/32.05 tff(6394,plain,
% 49.42/32.05 (node32(c_p1, s8, s9) | (~m_processor_v_abort(c_p1, s8))),
% 49.42/32.05 inference(unit_resolution,[status(thm)],[6393, 243, 6382])).
% 49.42/32.05 tff(6395,plain,
% 49.42/32.05 (node32(c_p1, s8, s9)),
% 49.42/32.05 inference(unit_resolution,[status(thm)],[6394, 6390])).
% 49.42/32.05 tff(6396,plain,
% 49.42/32.05 (~m_processor_v_state(c_p1, s9, c_invalid)),
% 49.42/32.05 inference(unit_resolution,[status(thm)],[6279, 137, 6365])).
% 49.42/32.05 tff(6397,assumption,(~m_processor_v_state(c_p1, s8, c_invalid)), introduced(assumption)).
% 49.42/32.05 tff(6398,plain,
% 49.42/32.05 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p1, s8, c_owned) | m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_state(c_p1, s8, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p1, s8, c_owned) | m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_state(c_p1, s8, c_invalid))),
% 49.42/32.05 inference(rewrite,[status(thm)],[])).
% 49.42/32.05 tff(6399,plain,
% 49.42/32.05 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p1, s8, c_owned) | m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_state(c_p1, s8, c_invalid))),
% 49.42/32.05 inference(quant_inst,[status(thm)],[])).
% 49.42/32.05 tff(6400,plain,
% 49.42/32.05 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p1, s8, c_owned) | m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_state(c_p1, s8, c_invalid)),
% 49.42/32.05 inference(modus_ponens,[status(thm)],[6399, 6398])).
% 49.42/32.05 tff(6401,plain,
% 49.42/32.05 ($false),
% 49.42/32.05 inference(unit_resolution,[status(thm)],[6400, 153, 6360, 6397, 5672])).
% 49.42/32.05 tff(6402,plain,(m_processor_v_state(c_p1, s8, c_owned) | m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_state(c_p1, s8, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.42/32.05 tff(6403,plain,
% 49.42/32.05 (m_processor_v_state(c_p1, s8, c_invalid)),
% 49.42/32.05 inference(unit_resolution,[status(thm)],[6402, 6360, 5672])).
% 49.42/32.05 tff(6404,plain,
% 49.42/32.05 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s8, c_invalid)) | m_processor_v_state(c_p1, s9, c_invalid) | (~node32(c_p1, s8, s9)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s8, c_invalid)) | m_processor_v_state(c_p1, s9, c_invalid) | (~node32(c_p1, s8, s9)))),
% 49.42/32.05 inference(rewrite,[status(thm)],[])).
% 49.42/32.05 tff(6405,plain,
% 49.42/32.05 (((~node32(c_p1, s8, s9)) | (~m_processor_v_state(c_p1, s8, c_invalid)) | m_processor_v_state(c_p1, s9, c_invalid)) <=> ((~m_processor_v_state(c_p1, s8, c_invalid)) | m_processor_v_state(c_p1, s9, c_invalid) | (~node32(c_p1, s8, s9)))),
% 49.42/32.05 inference(rewrite,[status(thm)],[])).
% 49.42/32.05 tff(6406,plain,
% 49.42/32.05 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s8, s9)) | (~m_processor_v_state(c_p1, s8, c_invalid)) | m_processor_v_state(c_p1, s9, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s8, c_invalid)) | m_processor_v_state(c_p1, s9, c_invalid) | (~node32(c_p1, s8, s9))))),
% 49.42/32.05 inference(monotonicity,[status(thm)],[6405])).
% 49.42/32.05 tff(6407,plain,
% 49.42/32.05 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s8, s9)) | (~m_processor_v_state(c_p1, s8, c_invalid)) | m_processor_v_state(c_p1, s9, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s8, c_invalid)) | m_processor_v_state(c_p1, s9, c_invalid) | (~node32(c_p1, s8, s9)))),
% 49.42/32.05 inference(transitivity,[status(thm)],[6406, 6404])).
% 49.42/32.05 tff(6408,plain,
% 49.42/32.05 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s8, s9)) | (~m_processor_v_state(c_p1, s8, c_invalid)) | m_processor_v_state(c_p1, s9, c_invalid))),
% 49.42/32.05 inference(quant_inst,[status(thm)],[])).
% 49.42/32.05 tff(6409,plain,
% 49.42/32.05 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s8, c_invalid)) | m_processor_v_state(c_p1, s9, c_invalid) | (~node32(c_p1, s8, s9))),
% 49.42/32.05 inference(modus_ponens,[status(thm)],[6408, 6407])).
% 49.42/32.05 tff(6410,plain,
% 49.42/32.05 ($false),
% 49.42/32.05 inference(unit_resolution,[status(thm)],[6409, 380, 6403, 6396, 6395])).
% 49.42/32.05 tff(6411,plain,((~m_processor_v_state(c_p1, s9, c_owned)) | m_processor_v_master(c_p1, s8) | m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_state(c_p1, s8, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.42/32.05 tff(6412,plain,
% 49.42/32.05 (m_processor_v_state(c_p1, s8, c_shared)),
% 49.42/32.05 inference(unit_resolution,[status(thm)],[6411, 6359, 6296, 5672])).
% 49.42/32.05 tff(6413,assumption,(m_processor_v_state(c_p1, s8, c_shared)), introduced(assumption)).
% 49.42/32.05 tff(6414,assumption,(~m_processor_v_abort(c_p1, s8)), introduced(assumption)).
% 49.42/32.05 tff(6415,plain,
% 49.42/32.05 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p1, s8) | (~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_master(c_p1, s8) | m_processor_v_abort(c_p1, s8) | (~node38(c_p1, s8, s9)) | m_processor_v_state(c_p1, s9, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p1, s8) | (~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_master(c_p1, s8) | m_processor_v_abort(c_p1, s8) | (~node38(c_p1, s8, s9)) | m_processor_v_state(c_p1, s9, c_invalid))),
% 49.42/32.05 inference(rewrite,[status(thm)],[])).
% 49.42/32.05 tff(6416,plain,
% 49.42/32.05 (((~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_master(c_p1, s8) | node35(c_p1, s8) | m_processor_v_state(c_p1, s9, c_invalid) | (~node38(c_p1, s8, s9)) | m_processor_v_abort(c_p1, s8)) <=> (node35(c_p1, s8) | (~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_master(c_p1, s8) | m_processor_v_abort(c_p1, s8) | (~node38(c_p1, s8, s9)) | m_processor_v_state(c_p1, s9, c_invalid))),
% 49.42/32.05 inference(rewrite,[status(thm)],[])).
% 49.42/32.05 tff(6417,plain,
% 49.42/32.05 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_master(c_p1, s8) | node35(c_p1, s8) | m_processor_v_state(c_p1, s9, c_invalid) | (~node38(c_p1, s8, s9)) | m_processor_v_abort(c_p1, s8))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p1, s8) | (~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_master(c_p1, s8) | m_processor_v_abort(c_p1, s8) | (~node38(c_p1, s8, s9)) | m_processor_v_state(c_p1, s9, c_invalid)))),
% 49.42/32.05 inference(monotonicity,[status(thm)],[6416])).
% 49.42/32.05 tff(6418,plain,
% 49.42/32.05 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_master(c_p1, s8) | node35(c_p1, s8) | m_processor_v_state(c_p1, s9, c_invalid) | (~node38(c_p1, s8, s9)) | m_processor_v_abort(c_p1, s8))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p1, s8) | (~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_master(c_p1, s8) | m_processor_v_abort(c_p1, s8) | (~node38(c_p1, s8, s9)) | m_processor_v_state(c_p1, s9, c_invalid))),
% 49.42/32.05 inference(transitivity,[status(thm)],[6417, 6415])).
% 49.42/32.05 tff(6419,plain,
% 49.42/32.05 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_master(c_p1, s8) | node35(c_p1, s8) | m_processor_v_state(c_p1, s9, c_invalid) | (~node38(c_p1, s8, s9)) | m_processor_v_abort(c_p1, s8))),
% 49.42/32.05 inference(quant_inst,[status(thm)],[])).
% 49.42/32.05 tff(6420,plain,
% 49.42/32.05 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p1, s8) | (~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_master(c_p1, s8) | m_processor_v_abort(c_p1, s8) | (~node38(c_p1, s8, s9)) | m_processor_v_state(c_p1, s9, c_invalid)),
% 49.42/32.05 inference(modus_ponens,[status(thm)],[6419, 6418])).
% 49.42/32.05 tff(6421,plain,
% 49.42/32.05 (node35(c_p1, s8) | (~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_master(c_p1, s8) | m_processor_v_abort(c_p1, s8) | m_processor_v_state(c_p1, s9, c_invalid)),
% 49.42/32.05 inference(unit_resolution,[status(thm)],[6420, 301, 6382])).
% 49.42/32.05 tff(6422,plain,
% 49.42/32.05 (node35(c_p1, s8)),
% 49.42/32.05 inference(unit_resolution,[status(thm)],[6421, 6359, 6414, 6413, 6288])).
% 49.42/32.05 tff(6423,plain,
% 49.42/32.05 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s8, c_read_h_owned)) | (~node35(c_p1, s8)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)) | (~node35(c_p1, s8)))),
% 49.42/32.05 inference(rewrite,[status(thm)],[])).
% 49.42/32.05 tff(6424,plain,
% 49.42/32.05 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s8, c_read_h_owned)) | (~node35(c_p1, s8)))),
% 49.42/32.05 inference(quant_inst,[status(thm)],[])).
% 49.42/32.05 tff(6425,plain,
% 49.42/32.05 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)) | (~node35(c_p1, s8))),
% 49.42/32.05 inference(modus_ponens,[status(thm)],[6424, 6423])).
% 49.42/32.05 tff(6426,plain,
% 49.42/32.05 (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)),
% 49.42/32.05 inference(unit_resolution,[status(thm)],[6425, 316, 6422])).
% 49.42/32.05 tff(6427,plain,
% 49.42/32.05 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s8, c_invalidate)) | (~node35(c_p1, s8)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s8, c_invalidate)) | (~node35(c_p1, s8)))),
% 49.42/32.05 inference(rewrite,[status(thm)],[])).
% 49.42/32.05 tff(6428,plain,
% 49.42/32.05 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s8, c_invalidate)) | (~node35(c_p1, s8)))),
% 49.42/32.05 inference(quant_inst,[status(thm)],[])).
% 49.42/32.05 tff(6429,plain,
% 49.42/32.05 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s8, c_invalidate)) | (~node35(c_p1, s8))),
% 49.42/32.05 inference(modus_ponens,[status(thm)],[6428, 6427])).
% 49.42/32.05 tff(6430,plain,
% 49.42/32.05 (~m_processor_v_CMD(c_p1, s8, c_invalidate)),
% 49.42/32.05 inference(unit_resolution,[status(thm)],[6429, 327, 6422])).
% 49.42/32.05 tff(6431,plain,
% 49.42/32.05 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_master(c_p1, s8) | node36(c_p1, s8) | m_processor_v_abort(c_p1, s8) | (~node38(c_p1, s8, s9)) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_state(c_p1, s9, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_master(c_p1, s8) | node36(c_p1, s8) | m_processor_v_abort(c_p1, s8) | (~node38(c_p1, s8, s9)) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_state(c_p1, s9, c_invalid))),
% 49.42/32.05 inference(rewrite,[status(thm)],[])).
% 49.42/32.05 tff(6432,plain,
% 49.42/32.05 (((~m_processor_v_state(c_p1, s8, c_shared)) | node36(c_p1, s8) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_master(c_p1, s8) | m_processor_v_state(c_p1, s9, c_invalid) | (~node38(c_p1, s8, s9)) | m_processor_v_abort(c_p1, s8)) <=> ((~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_master(c_p1, s8) | node36(c_p1, s8) | m_processor_v_abort(c_p1, s8) | (~node38(c_p1, s8, s9)) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_state(c_p1, s9, c_invalid))),
% 49.42/32.05 inference(rewrite,[status(thm)],[])).
% 49.42/32.05 tff(6433,plain,
% 49.42/32.05 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s8, c_shared)) | node36(c_p1, s8) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_master(c_p1, s8) | m_processor_v_state(c_p1, s9, c_invalid) | (~node38(c_p1, s8, s9)) | m_processor_v_abort(c_p1, s8))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_master(c_p1, s8) | node36(c_p1, s8) | m_processor_v_abort(c_p1, s8) | (~node38(c_p1, s8, s9)) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_state(c_p1, s9, c_invalid)))),
% 49.42/32.05 inference(monotonicity,[status(thm)],[6432])).
% 49.42/32.05 tff(6434,plain,
% 49.42/32.05 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s8, c_shared)) | node36(c_p1, s8) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_master(c_p1, s8) | m_processor_v_state(c_p1, s9, c_invalid) | (~node38(c_p1, s8, s9)) | m_processor_v_abort(c_p1, s8))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_master(c_p1, s8) | node36(c_p1, s8) | m_processor_v_abort(c_p1, s8) | (~node38(c_p1, s8, s9)) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_state(c_p1, s9, c_invalid))),
% 49.42/32.05 inference(transitivity,[status(thm)],[6433, 6431])).
% 49.42/32.05 tff(6435,plain,
% 49.42/32.05 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s8, c_shared)) | node36(c_p1, s8) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_master(c_p1, s8) | m_processor_v_state(c_p1, s9, c_invalid) | (~node38(c_p1, s8, s9)) | m_processor_v_abort(c_p1, s8))),
% 49.42/32.05 inference(quant_inst,[status(thm)],[])).
% 49.42/32.05 tff(6436,plain,
% 49.42/32.05 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_master(c_p1, s8) | node36(c_p1, s8) | m_processor_v_abort(c_p1, s8) | (~node38(c_p1, s8, s9)) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_state(c_p1, s9, c_invalid)),
% 49.42/32.05 inference(modus_ponens,[status(thm)],[6435, 6434])).
% 49.42/32.05 tff(6437,plain,
% 49.42/32.05 ((~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_master(c_p1, s8) | node36(c_p1, s8) | m_processor_v_abort(c_p1, s8) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_state(c_p1, s9, c_invalid)),
% 49.42/32.05 inference(unit_resolution,[status(thm)],[6436, 341, 6382])).
% 49.42/32.05 tff(6438,plain,
% 49.42/32.05 (node36(c_p1, s8)),
% 49.42/32.05 inference(unit_resolution,[status(thm)],[6437, 6359, 6289, 6288, 6414, 6413])).
% 49.42/32.05 tff(6439,plain,
% 49.42/32.05 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | ((~node36(c_p1, s8)) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_CMD(c_p1, s8, c_invalidate))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (~node36(c_p1, s8)) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_CMD(c_p1, s8, c_invalidate))),
% 49.42/32.05 inference(rewrite,[status(thm)],[])).
% 49.42/32.05 tff(6440,plain,
% 49.42/32.05 ((m_processor_v_CMD(c_p1, s8, c_invalidate) | (~node36(c_p1, s8)) | m_processor_v_CMD(c_p1, s8, c_read_h_owned)) <=> ((~node36(c_p1, s8)) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_CMD(c_p1, s8, c_invalidate))),
% 49.42/32.05 inference(rewrite,[status(thm)],[])).
% 49.42/32.05 tff(6441,plain,
% 49.42/32.05 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s8, c_invalidate) | (~node36(c_p1, s8)) | m_processor_v_CMD(c_p1, s8, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | ((~node36(c_p1, s8)) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_CMD(c_p1, s8, c_invalidate)))),
% 49.42/32.05 inference(monotonicity,[status(thm)],[6440])).
% 49.42/32.05 tff(6442,plain,
% 49.42/32.05 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s8, c_invalidate) | (~node36(c_p1, s8)) | m_processor_v_CMD(c_p1, s8, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (~node36(c_p1, s8)) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_CMD(c_p1, s8, c_invalidate))),
% 49.42/32.05 inference(transitivity,[status(thm)],[6441, 6439])).
% 49.42/32.05 tff(6443,plain,
% 49.42/32.05 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s8, c_invalidate) | (~node36(c_p1, s8)) | m_processor_v_CMD(c_p1, s8, c_read_h_owned))),
% 49.42/32.05 inference(quant_inst,[status(thm)],[])).
% 49.42/32.05 tff(6444,plain,
% 49.42/32.05 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (~node36(c_p1, s8)) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_CMD(c_p1, s8, c_invalidate)),
% 49.42/32.05 inference(modus_ponens,[status(thm)],[6443, 6442])).
% 49.42/32.05 tff(6445,plain,
% 49.42/32.05 (m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_CMD(c_p1, s8, c_invalidate)),
% 49.42/32.05 inference(unit_resolution,[status(thm)],[6444, 359, 6438])).
% 49.42/32.05 tff(6446,plain,
% 49.42/32.05 ($false),
% 49.42/32.05 inference(unit_resolution,[status(thm)],[6445, 6430, 6426])).
% 49.42/32.05 tff(6447,plain,(m_processor_v_master(c_p1, s8) | m_processor_v_abort(c_p1, s8) | (~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_state(c_p1, s9, c_shared)), inference(lemma,lemma(discharge,[]))).
% 49.42/32.05 tff(6448,plain,
% 49.42/32.05 (m_processor_v_abort(c_p1, s8)),
% 49.42/32.06 inference(unit_resolution,[status(thm)],[6447, 6289, 6359, 6288, 6413])).
% 49.42/32.06 tff(6449,plain,
% 49.42/32.06 (node32(c_p1, s8, s9)),
% 49.42/32.06 inference(unit_resolution,[status(thm)],[6394, 6448])).
% 49.42/32.06 tff(6450,plain,
% 49.42/32.06 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_state(c_p1, s9, c_shared) | (~node32(c_p1, s8, s9)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_state(c_p1, s9, c_shared) | (~node32(c_p1, s8, s9)))),
% 49.42/32.06 inference(rewrite,[status(thm)],[])).
% 49.42/32.06 tff(6451,plain,
% 49.42/32.06 (((~node32(c_p1, s8, s9)) | (~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_state(c_p1, s9, c_shared)) <=> ((~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_state(c_p1, s9, c_shared) | (~node32(c_p1, s8, s9)))),
% 49.42/32.06 inference(rewrite,[status(thm)],[])).
% 49.42/32.06 tff(6452,plain,
% 49.42/32.06 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s8, s9)) | (~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_state(c_p1, s9, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_state(c_p1, s9, c_shared) | (~node32(c_p1, s8, s9))))),
% 49.42/32.06 inference(monotonicity,[status(thm)],[6451])).
% 49.42/32.06 tff(6453,plain,
% 49.42/32.06 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s8, s9)) | (~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_state(c_p1, s9, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_state(c_p1, s9, c_shared) | (~node32(c_p1, s8, s9)))),
% 49.42/32.06 inference(transitivity,[status(thm)],[6452, 6450])).
% 49.42/32.06 tff(6454,plain,
% 49.42/32.06 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s8, s9)) | (~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_state(c_p1, s9, c_shared))),
% 49.42/32.06 inference(quant_inst,[status(thm)],[])).
% 49.42/32.06 tff(6455,plain,
% 49.42/32.06 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_state(c_p1, s9, c_shared) | (~node32(c_p1, s8, s9))),
% 49.42/32.06 inference(modus_ponens,[status(thm)],[6454, 6453])).
% 49.42/32.06 tff(6456,plain,
% 49.42/32.06 ($false),
% 49.42/32.06 inference(unit_resolution,[status(thm)],[6455, 380, 6413, 6289, 6449])).
% 49.42/32.06 tff(6457,plain,(m_processor_v_state(c_p1, s9, c_shared) | (~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_master(c_p1, s8) | m_processor_v_state(c_p1, s9, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.42/32.06 tff(6458,plain,
% 49.42/32.06 ($false),
% 49.42/32.06 inference(unit_resolution,[status(thm)],[6457, 6412, 6359, 6289, 6288])).
% 49.42/32.06 tff(6459,plain,(m_processor_v_master(c_p1, s8) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_state(c_p1, s8, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.42/32.06 tff(6460,plain,
% 49.42/32.06 (m_processor_v_master(c_p1, s8)),
% 49.42/32.06 inference(unit_resolution,[status(thm)],[6459, 5672, 6288, 6289])).
% 49.42/32.06 tff(6461,plain,
% 49.42/32.06 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p1, s8)) | m_processor_v_abort(c_p1, s8) | (~node38(c_p1, s8, s9)) | node34(c_p1, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s8)) | m_processor_v_abort(c_p1, s8) | (~node38(c_p1, s8, s9)) | node34(c_p1, s8, s9))),
% 49.42/32.06 inference(rewrite,[status(thm)],[])).
% 49.42/32.06 tff(6462,plain,
% 49.42/32.06 ((node34(c_p1, s8, s9) | (~m_processor_v_master(c_p1, s8)) | (~node38(c_p1, s8, s9)) | m_processor_v_abort(c_p1, s8)) <=> ((~m_processor_v_master(c_p1, s8)) | m_processor_v_abort(c_p1, s8) | (~node38(c_p1, s8, s9)) | node34(c_p1, s8, s9))),
% 49.42/32.06 inference(rewrite,[status(thm)],[])).
% 49.42/32.06 tff(6463,plain,
% 49.42/32.06 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s8, s9) | (~m_processor_v_master(c_p1, s8)) | (~node38(c_p1, s8, s9)) | m_processor_v_abort(c_p1, s8))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p1, s8)) | m_processor_v_abort(c_p1, s8) | (~node38(c_p1, s8, s9)) | node34(c_p1, s8, s9)))),
% 49.42/32.06 inference(monotonicity,[status(thm)],[6462])).
% 49.42/32.06 tff(6464,plain,
% 49.42/32.06 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s8, s9) | (~m_processor_v_master(c_p1, s8)) | (~node38(c_p1, s8, s9)) | m_processor_v_abort(c_p1, s8))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s8)) | m_processor_v_abort(c_p1, s8) | (~node38(c_p1, s8, s9)) | node34(c_p1, s8, s9))),
% 49.42/32.06 inference(transitivity,[status(thm)],[6463, 6461])).
% 49.42/32.06 tff(6465,plain,
% 49.42/32.06 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s8, s9) | (~m_processor_v_master(c_p1, s8)) | (~node38(c_p1, s8, s9)) | m_processor_v_abort(c_p1, s8))),
% 49.42/32.06 inference(quant_inst,[status(thm)],[])).
% 49.42/32.06 tff(6466,plain,
% 49.42/32.06 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s8)) | m_processor_v_abort(c_p1, s8) | (~node38(c_p1, s8, s9)) | node34(c_p1, s8, s9)),
% 49.42/32.06 inference(modus_ponens,[status(thm)],[6465, 6464])).
% 49.42/32.06 tff(6467,plain,
% 49.42/32.06 ((~m_processor_v_master(c_p1, s8)) | m_processor_v_abort(c_p1, s8) | node34(c_p1, s8, s9)),
% 49.42/32.06 inference(unit_resolution,[status(thm)],[6466, 283, 6382])).
% 49.42/32.06 tff(6468,plain,
% 49.42/32.06 (m_processor_v_abort(c_p1, s8)),
% 49.42/32.06 inference(unit_resolution,[status(thm)],[6467, 6460, 6358])).
% 49.42/32.06 tff(6469,plain,
% 49.42/32.06 (node32(c_p1, s8, s9)),
% 49.42/32.06 inference(unit_resolution,[status(thm)],[6394, 6468])).
% 49.42/32.06 tff(6470,plain,
% 49.42/32.06 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p1, s8, c_owned) | (~m_processor_v_state(c_p1, s9, c_owned)) | (~node32(c_p1, s8, s9)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p1, s8, c_owned) | (~m_processor_v_state(c_p1, s9, c_owned)) | (~node32(c_p1, s8, s9)))),
% 49.42/32.06 inference(rewrite,[status(thm)],[])).
% 49.42/32.06 tff(6471,plain,
% 49.42/32.06 (((~node32(c_p1, s8, s9)) | m_processor_v_state(c_p1, s8, c_owned) | (~m_processor_v_state(c_p1, s9, c_owned))) <=> (m_processor_v_state(c_p1, s8, c_owned) | (~m_processor_v_state(c_p1, s9, c_owned)) | (~node32(c_p1, s8, s9)))),
% 49.42/32.06 inference(rewrite,[status(thm)],[])).
% 49.42/32.06 tff(6472,plain,
% 49.42/32.06 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p1, s8, s9)) | m_processor_v_state(c_p1, s8, c_owned) | (~m_processor_v_state(c_p1, s9, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p1, s8, c_owned) | (~m_processor_v_state(c_p1, s9, c_owned)) | (~node32(c_p1, s8, s9))))),
% 49.42/32.06 inference(monotonicity,[status(thm)],[6471])).
% 49.42/32.06 tff(6473,plain,
% 49.42/32.06 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p1, s8, s9)) | m_processor_v_state(c_p1, s8, c_owned) | (~m_processor_v_state(c_p1, s9, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p1, s8, c_owned) | (~m_processor_v_state(c_p1, s9, c_owned)) | (~node32(c_p1, s8, s9)))),
% 49.42/32.06 inference(transitivity,[status(thm)],[6472, 6470])).
% 49.42/32.06 tff(6474,plain,
% 49.42/32.06 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p1, s8, s9)) | m_processor_v_state(c_p1, s8, c_owned) | (~m_processor_v_state(c_p1, s9, c_owned)))),
% 49.42/32.06 inference(quant_inst,[status(thm)],[])).
% 49.42/32.06 tff(6475,plain,
% 49.42/32.06 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p1, s8, c_owned) | (~m_processor_v_state(c_p1, s9, c_owned)) | (~node32(c_p1, s8, s9))),
% 49.42/32.06 inference(modus_ponens,[status(thm)],[6474, 6473])).
% 49.42/32.06 tff(6476,plain,
% 49.42/32.06 ($false),
% 49.42/32.06 inference(unit_resolution,[status(thm)],[6475, 261, 5672, 6469, 6296])).
% 49.42/32.06 tff(6477,plain,(m_processor_v_state(c_p1, s8, c_owned) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.42/32.06 tff(6478,plain,
% 49.42/32.06 (m_processor_v_CMD(c_p1, s8, c_read_h_owned)),
% 49.42/32.06 inference(unit_resolution,[status(thm)],[6477, 5672, 6289, 6288])).
% 49.42/32.06 tff(6479,assumption,(m_processor_v_CMD(c_p1, s8, c_read_h_owned)), introduced(assumption)).
% 49.42/32.06 tff(6480,assumption,(~m_main_v_CMD(s8, c_read_h_owned)), introduced(assumption)).
% 49.42/32.06 tff(6481,assumption,(~node3(s8)), introduced(assumption)).
% 49.42/32.06 tff(6482,plain,
% 49.42/32.06 ((~![X: $i] : node3(X)) | node3(s8)),
% 49.42/32.06 inference(quant_inst,[status(thm)],[])).
% 49.42/32.06 tff(6483,plain,
% 49.42/32.06 ($false),
% 49.42/32.06 inference(unit_resolution,[status(thm)],[6482, 1247, 6481])).
% 49.42/32.06 tff(6484,plain,(node3(s8)), inference(lemma,lemma(discharge,[]))).
% 49.42/32.06 tff(6485,plain,
% 49.42/32.06 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s8, c_read_h_owned) | (~node3(s8)) | (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s8, c_read_h_owned) | (~node3(s8)) | (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)))),
% 49.42/32.06 inference(rewrite,[status(thm)],[])).
% 49.42/32.06 tff(6486,plain,
% 49.42/32.06 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s8, c_read_h_owned) | (~node3(s8)) | (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)))),
% 49.42/32.06 inference(quant_inst,[status(thm)],[])).
% 49.42/32.06 tff(6487,plain,
% 49.42/32.06 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s8, c_read_h_owned) | (~node3(s8)) | (~m_processor_v_CMD(c_p1, s8, c_read_h_owned))),
% 49.42/32.06 inference(modus_ponens,[status(thm)],[6486, 6485])).
% 49.42/32.06 tff(6488,plain,
% 49.42/32.06 ($false),
% 49.42/32.06 inference(unit_resolution,[status(thm)],[6487, 1260, 6484, 6480, 6479])).
% 49.42/32.06 tff(6489,plain,((~m_processor_v_CMD(c_p1, s8, c_read_h_owned)) | m_main_v_CMD(s8, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.42/32.06 tff(6490,plain,
% 49.42/32.06 (m_main_v_CMD(s8, c_read_h_owned)),
% 49.42/32.06 inference(unit_resolution,[status(thm)],[6489, 6479])).
% 49.42/32.06 tff(6491,plain,
% 49.42/32.06 (^[X: $i] : refl(((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned))) <=> ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned))))),
% 49.42/32.06 inference(bind,[status(th)],[])).
% 49.42/32.06 tff(6492,plain,
% 49.42/32.06 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))),
% 49.42/32.06 inference(quant_intro,[status(thm)],[6491])).
% 49.42/32.06 tff(6493,plain,
% 49.42/32.06 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))),
% 49.42/32.06 inference(rewrite,[status(thm)],[])).
% 49.42/32.06 tff(6494,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_10')).
% 49.42/32.06 tff(6495,plain,
% 49.42/32.06 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))),
% 49.42/32.06 inference(modus_ponens,[status(thm)],[6494, 6493])).
% 49.42/32.06 tff(6496,plain,(
% 49.42/32.06 ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))),
% 49.42/32.06 inference(skolemize,[status(sab)],[6495])).
% 49.42/32.06 tff(6497,plain,
% 49.42/32.06 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))),
% 49.42/32.06 inference(modus_ponens,[status(thm)],[6496, 6492])).
% 49.42/32.06 tff(6498,plain,
% 49.42/32.06 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s8, c_read_h_owned)) | (~m_main_v_CMD(s8, c_read_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | (~m_main_v_CMD(s8, c_read_h_owned)) | (~m_main_v_CMD(s8, c_read_h_shared)))),
% 49.42/32.06 inference(rewrite,[status(thm)],[])).
% 49.42/32.06 tff(6499,plain,
% 49.42/32.06 (((~m_main_v_CMD(s8, c_read_h_shared)) | (~m_main_v_CMD(s8, c_read_h_owned))) <=> ((~m_main_v_CMD(s8, c_read_h_owned)) | (~m_main_v_CMD(s8, c_read_h_shared)))),
% 49.42/32.06 inference(rewrite,[status(thm)],[])).
% 49.42/32.06 tff(6500,plain,
% 49.42/32.06 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s8, c_read_h_shared)) | (~m_main_v_CMD(s8, c_read_h_owned)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s8, c_read_h_owned)) | (~m_main_v_CMD(s8, c_read_h_shared))))),
% 49.42/32.06 inference(monotonicity,[status(thm)],[6499])).
% 49.42/32.06 tff(6501,plain,
% 49.42/32.06 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s8, c_read_h_shared)) | (~m_main_v_CMD(s8, c_read_h_owned)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | (~m_main_v_CMD(s8, c_read_h_owned)) | (~m_main_v_CMD(s8, c_read_h_shared)))),
% 49.42/32.06 inference(transitivity,[status(thm)],[6500, 6498])).
% 49.42/32.06 tff(6502,plain,
% 49.42/32.06 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s8, c_read_h_shared)) | (~m_main_v_CMD(s8, c_read_h_owned)))),
% 49.42/32.06 inference(quant_inst,[status(thm)],[])).
% 49.42/32.06 tff(6503,plain,
% 49.42/32.06 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | (~m_main_v_CMD(s8, c_read_h_owned)) | (~m_main_v_CMD(s8, c_read_h_shared))),
% 49.42/32.06 inference(modus_ponens,[status(thm)],[6502, 6501])).
% 49.42/32.06 tff(6504,plain,
% 49.42/32.06 (~m_main_v_CMD(s8, c_read_h_shared)),
% 49.42/32.06 inference(unit_resolution,[status(thm)],[6503, 6497, 6490])).
% 49.42/32.06 tff(6505,assumption,(m_processor_v_CMD(c_p1, s8, c_read_h_shared)), introduced(assumption)).
% 49.42/32.06 tff(6506,assumption,(~m_main_v_CMD(s8, c_read_h_shared)), introduced(assumption)).
% 49.42/32.06 tff(6507,plain,
% 49.42/32.06 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s8, c_read_h_shared) | (~node3(s8)) | (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s8, c_read_h_shared) | (~node3(s8)) | (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)))),
% 49.42/32.06 inference(rewrite,[status(thm)],[])).
% 49.42/32.06 tff(6508,plain,
% 49.42/32.06 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s8, c_read_h_shared) | (~node3(s8)) | (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)))),
% 49.42/32.06 inference(quant_inst,[status(thm)],[])).
% 49.42/32.06 tff(6509,plain,
% 49.42/32.06 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s8, c_read_h_shared) | (~node3(s8)) | (~m_processor_v_CMD(c_p1, s8, c_read_h_shared))),
% 49.42/32.06 inference(modus_ponens,[status(thm)],[6508, 6507])).
% 49.42/32.06 tff(6510,plain,
% 49.42/32.06 ($false),
% 49.42/32.06 inference(unit_resolution,[status(thm)],[6509, 1260, 6484, 6506, 6505])).
% 49.42/32.06 tff(6511,plain,((~m_processor_v_CMD(c_p1, s8, c_read_h_shared)) | m_main_v_CMD(s8, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.42/32.06 tff(6512,plain,
% 49.42/32.06 (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)),
% 49.42/32.06 inference(unit_resolution,[status(thm)],[6511, 6504])).
% 49.42/32.06 tff(6513,plain,
% 49.42/32.06 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p1, s8, c_read_h_shared) | (~node47(c_p1, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | (~node47(c_p1, s8)))),
% 49.42/32.06 inference(rewrite,[status(thm)],[])).
% 49.42/32.06 tff(6514,plain,
% 49.42/32.06 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p1, s8, c_read_h_shared) | (~node47(c_p1, s8)))),
% 49.42/32.06 inference(quant_inst,[status(thm)],[])).
% 49.42/32.06 tff(6515,plain,
% 49.42/32.06 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | (~node47(c_p1, s8))),
% 49.42/32.06 inference(modus_ponens,[status(thm)],[6514, 6513])).
% 49.42/32.06 tff(6516,plain,
% 49.42/32.06 (~node47(c_p1, s8)),
% 49.42/32.06 inference(unit_resolution,[status(thm)],[6515, 657, 6512])).
% 49.42/32.06 tff(6517,plain,
% 49.42/32.06 (m_processor_v_master(c_p1, s8)),
% 49.42/32.06 inference(unit_resolution,[status(thm)],[6459, 5672, 6289, 6288])).
% 49.42/32.06 tff(6518,assumption,(node32(c_p1, s8, s9)), introduced(assumption)).
% 49.42/32.06 tff(6519,assumption,(m_processor_v_state(c_p1, s8, c_invalid)), introduced(assumption)).
% 49.42/32.06 tff(6520,plain,
% 49.42/32.06 ($false),
% 49.42/32.06 inference(unit_resolution,[status(thm)],[6409, 380, 6519, 6288, 6518])).
% 49.42/32.06 tff(6521,plain,((~node32(c_p1, s8, s9)) | (~m_processor_v_state(c_p1, s8, c_invalid)) | m_processor_v_state(c_p1, s9, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.42/32.06 tff(6522,plain,
% 49.42/32.06 (~m_processor_v_state(c_p1, s8, c_invalid)),
% 49.42/32.06 inference(unit_resolution,[status(thm)],[6521, 6518, 6288])).
% 49.42/32.06 tff(6523,plain,
% 49.42/32.06 (m_processor_v_state(c_p1, s8, c_shared)),
% 49.42/32.06 inference(unit_resolution,[status(thm)],[6402, 6522, 5672])).
% 49.42/32.06 tff(6524,plain,
% 49.42/32.06 ($false),
% 49.42/32.06 inference(unit_resolution,[status(thm)],[6455, 380, 6523, 6289, 6518])).
% 49.42/32.06 tff(6525,plain,((~node32(c_p1, s8, s9)) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_state(c_p1, s8, c_owned) | m_processor_v_state(c_p1, s9, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.42/32.06 tff(6526,plain,
% 49.42/32.06 (~node32(c_p1, s8, s9)),
% 49.42/32.06 inference(unit_resolution,[status(thm)],[6525, 5672, 6289, 6288])).
% 49.42/32.06 tff(6527,plain,
% 49.42/32.06 (~m_processor_v_abort(c_p1, s8)),
% 49.42/32.06 inference(unit_resolution,[status(thm)],[6394, 6526])).
% 49.42/32.06 tff(6528,plain,
% 49.42/32.06 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s8, s9)) | node53(c_p1, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s8, s9)) | node53(c_p1, s8, s9))),
% 49.42/32.06 inference(rewrite,[status(thm)],[])).
% 49.42/32.06 tff(6529,plain,
% 49.42/32.06 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s8, s9)) | node53(c_p1, s8, s9))),
% 49.42/32.06 inference(quant_inst,[status(thm)],[])).
% 49.42/32.06 tff(6530,plain,
% 49.42/32.06 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s8, s9)) | node53(c_p1, s8, s9)),
% 49.42/32.06 inference(modus_ponens,[status(thm)],[6529, 6528])).
% 49.42/32.06 tff(6531,plain,
% 49.42/32.06 (node53(c_p1, s8, s9)),
% 49.42/32.06 inference(unit_resolution,[status(thm)],[6530, 575, 6377])).
% 49.42/32.06 tff(6532,plain,
% 49.42/32.06 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s8)) | m_processor_v_abort(c_p1, s8) | node47(c_p1, s8) | (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)) | m_processor_v_waiting(c_p1, s9) | (~node53(c_p1, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s8)) | m_processor_v_abort(c_p1, s8) | node47(c_p1, s8) | (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)) | m_processor_v_waiting(c_p1, s9) | (~node53(c_p1, s8, s9)))),
% 49.42/32.06 inference(rewrite,[status(thm)],[])).
% 49.42/32.06 tff(6533,plain,
% 49.42/32.06 ((m_processor_v_waiting(c_p1, s9) | (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)) | (~m_processor_v_master(c_p1, s8)) | m_processor_v_abort(c_p1, s8) | node47(c_p1, s8) | (~node53(c_p1, s8, s9))) <=> ((~m_processor_v_master(c_p1, s8)) | m_processor_v_abort(c_p1, s8) | node47(c_p1, s8) | (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)) | m_processor_v_waiting(c_p1, s9) | (~node53(c_p1, s8, s9)))),
% 49.42/32.06 inference(rewrite,[status(thm)],[])).
% 49.42/32.06 tff(6534,plain,
% 49.42/32.06 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s9) | (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)) | (~m_processor_v_master(c_p1, s8)) | m_processor_v_abort(c_p1, s8) | node47(c_p1, s8) | (~node53(c_p1, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s8)) | m_processor_v_abort(c_p1, s8) | node47(c_p1, s8) | (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)) | m_processor_v_waiting(c_p1, s9) | (~node53(c_p1, s8, s9))))),
% 49.42/32.06 inference(monotonicity,[status(thm)],[6533])).
% 49.42/32.06 tff(6535,plain,
% 49.42/32.06 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s9) | (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)) | (~m_processor_v_master(c_p1, s8)) | m_processor_v_abort(c_p1, s8) | node47(c_p1, s8) | (~node53(c_p1, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s8)) | m_processor_v_abort(c_p1, s8) | node47(c_p1, s8) | (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)) | m_processor_v_waiting(c_p1, s9) | (~node53(c_p1, s8, s9)))),
% 49.42/32.06 inference(transitivity,[status(thm)],[6534, 6532])).
% 49.42/32.06 tff(6536,plain,
% 49.42/32.06 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s9) | (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)) | (~m_processor_v_master(c_p1, s8)) | m_processor_v_abort(c_p1, s8) | node47(c_p1, s8) | (~node53(c_p1, s8, s9)))),
% 49.42/32.06 inference(quant_inst,[status(thm)],[])).
% 49.42/32.06 tff(6537,plain,
% 49.42/32.06 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s8)) | m_processor_v_abort(c_p1, s8) | node47(c_p1, s8) | (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)) | m_processor_v_waiting(c_p1, s9) | (~node53(c_p1, s8, s9))),
% 49.42/32.06 inference(modus_ponens,[status(thm)],[6536, 6535])).
% 49.42/32.06 tff(6538,plain,
% 49.42/32.06 ((~m_processor_v_master(c_p1, s8)) | m_processor_v_abort(c_p1, s8) | node47(c_p1, s8) | (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)) | m_processor_v_waiting(c_p1, s9)),
% 49.42/32.06 inference(unit_resolution,[status(thm)],[6537, 640, 6531])).
% 49.42/32.06 tff(6539,plain,
% 49.42/32.06 ($false),
% 49.42/32.06 inference(unit_resolution,[status(thm)],[6538, 6527, 6517, 6479, 6290, 6516])).
% 49.42/32.06 tff(6540,plain,(m_processor_v_state(c_p1, s8, c_owned) | (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)) | m_processor_v_waiting(c_p1, s9) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_state(c_p1, s9, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.42/32.06 tff(6541,plain,
% 49.42/32.06 ($false),
% 49.42/32.06 inference(unit_resolution,[status(thm)],[6540, 6478, 5672, 6290, 6289, 6288])).
% 49.42/32.06 tff(6542,plain,(m_processor_v_state(c_p1, s8, c_owned) | m_processor_v_waiting(c_p1, s9) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_state(c_p1, s9, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.42/32.06 tff(6543,plain,
% 49.42/32.06 (m_processor_v_waiting(c_p1, s9)),
% 49.42/32.06 inference(unit_resolution,[status(thm)],[6542, 6287, 5672, 6280])).
% 49.42/32.06 tff(6544,plain,
% 49.42/32.06 (((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p1, s9)) | (~node56(c_p1, s9)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p1, s9)) | (~node56(c_p1, s9)))),
% 49.42/32.06 inference(rewrite,[status(thm)],[])).
% 49.42/32.06 tff(6545,plain,
% 49.42/32.06 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p1, s9)) | (~node56(c_p1, s9)))),
% 49.42/32.06 inference(quant_inst,[status(thm)],[])).
% 49.42/32.06 tff(6546,plain,
% 49.42/32.06 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p1, s9)) | (~node56(c_p1, s9))),
% 49.42/32.06 inference(modus_ponens,[status(thm)],[6545, 6544])).
% 49.42/32.06 tff(6547,plain,
% 49.42/32.07 ($false),
% 49.42/32.07 inference(unit_resolution,[status(thm)],[6546, 540, 6268, 6543])).
% 49.42/32.07 tff(6548,plain,(m_processor_v_state(c_p1, s8, c_owned) | node67(s3) | node67(s4) | node67(s5) | node67(s6) | node67(s7)), inference(lemma,lemma(discharge,[]))).
% 49.42/32.07 tff(6549,plain,
% 49.42/32.07 (m_processor_v_state(c_p1, s8, c_owned) | node67(s4) | node67(s5) | node67(s6) | node67(s7)),
% 49.42/32.07 inference(unit_resolution,[status(thm)],[6548, 5666])).
% 49.42/32.07 tff(6550,plain,
% 49.42/32.07 (m_processor_v_state(c_p1, s8, c_owned)),
% 49.42/32.07 inference(unit_resolution,[status(thm)],[6549, 2593, 683, 104, 74])).
% 49.42/32.07 tff(6551,plain,
% 49.42/32.07 (~node56(c_p0, s7)),
% 49.42/32.07 inference(unit_resolution,[status(thm)],[2576, 5])).
% 49.42/32.07 tff(6552,plain,
% 49.42/32.07 (~m_processor_v_writable(c_p0, s7)),
% 49.42/32.07 inference(unit_resolution,[status(thm)],[2584, 6551])).
% 49.42/32.07 tff(6553,plain,
% 49.42/32.07 (~node67(s7)),
% 49.42/32.07 inference(unit_resolution,[status(thm)],[2592, 6552])).
% 49.42/32.07 tff(6554,plain,
% 49.42/32.07 (node67(s9) | node67(s8) | node67(s7) | node67(s6) | node67(s5) | node67(s4)),
% 49.42/32.07 inference(unit_resolution,[status(thm)],[6251, 5666])).
% 49.42/32.07 tff(6555,plain,
% 49.42/32.07 (node67(s4)),
% 49.42/32.07 inference(unit_resolution,[status(thm)],[6554, 5932, 5949, 104, 52, 6553])).
% 49.42/32.07 tff(6556,assumption,(~m_processor_v_writable(c_p1, s4)), introduced(assumption)).
% 49.42/32.07 tff(6557,assumption,(node67(s4)), introduced(assumption)).
% 49.42/32.07 tff(6558,plain,
% 49.42/32.07 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | ((~node67(s4)) | m_processor_v_writable(c_p1, s4))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (~node67(s4)) | m_processor_v_writable(c_p1, s4))),
% 49.42/32.07 inference(rewrite,[status(thm)],[])).
% 49.42/32.07 tff(6559,plain,
% 49.42/32.07 ((m_processor_v_writable(c_p1, s4) | (~node67(s4))) <=> ((~node67(s4)) | m_processor_v_writable(c_p1, s4))),
% 49.42/32.07 inference(rewrite,[status(thm)],[])).
% 49.42/32.07 tff(6560,plain,
% 49.42/32.07 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s4) | (~node67(s4)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | ((~node67(s4)) | m_processor_v_writable(c_p1, s4)))),
% 49.42/32.07 inference(monotonicity,[status(thm)],[6559])).
% 49.42/32.07 tff(6561,plain,
% 49.42/32.07 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s4) | (~node67(s4)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (~node67(s4)) | m_processor_v_writable(c_p1, s4))),
% 49.42/32.07 inference(transitivity,[status(thm)],[6560, 6558])).
% 49.42/32.07 tff(6562,plain,
% 49.42/32.07 ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s4) | (~node67(s4)))),
% 49.42/32.07 inference(quant_inst,[status(thm)],[])).
% 49.42/32.07 tff(6563,plain,
% 49.42/32.07 ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (~node67(s4)) | m_processor_v_writable(c_p1, s4)),
% 49.42/32.07 inference(modus_ponens,[status(thm)],[6562, 6561])).
% 49.42/32.07 tff(6564,plain,
% 49.42/32.07 ($false),
% 49.42/32.07 inference(unit_resolution,[status(thm)],[6563, 98, 6557, 6556])).
% 49.42/32.07 tff(6565,plain,((~node67(s4)) | m_processor_v_writable(c_p1, s4)), inference(lemma,lemma(discharge,[]))).
% 49.42/32.07 tff(6566,plain,
% 49.42/32.07 (m_processor_v_writable(c_p1, s4)),
% 49.42/32.07 inference(unit_resolution,[status(thm)],[6565, 6555])).
% 49.42/32.07 tff(6567,assumption,(m_processor_v_writable(c_p1, s4)), introduced(assumption)).
% 49.42/32.07 tff(6568,assumption,(~node56(c_p1, s4)), introduced(assumption)).
% 49.42/32.07 tff(6569,plain,
% 49.42/32.07 (((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p1, s4)) | node56(c_p1, s4))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p1, s4)) | node56(c_p1, s4))),
% 49.42/32.07 inference(rewrite,[status(thm)],[])).
% 49.42/32.07 tff(6570,plain,
% 49.42/32.07 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p1, s4)) | node56(c_p1, s4))),
% 49.42/32.07 inference(quant_inst,[status(thm)],[])).
% 49.42/32.07 tff(6571,plain,
% 49.42/32.07 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p1, s4)) | node56(c_p1, s4)),
% 49.42/32.07 inference(modus_ponens,[status(thm)],[6570, 6569])).
% 49.42/32.07 tff(6572,plain,
% 49.42/32.07 ($false),
% 49.42/32.07 inference(unit_resolution,[status(thm)],[6571, 28, 6568, 6567])).
% 49.42/32.07 tff(6573,plain,((~m_processor_v_writable(c_p1, s4)) | node56(c_p1, s4)), inference(lemma,lemma(discharge,[]))).
% 49.42/32.07 tff(6574,plain,
% 49.42/32.07 (node56(c_p1, s4)),
% 49.42/32.07 inference(unit_resolution,[status(thm)],[6573, 6566])).
% 49.42/32.07 tff(6575,assumption,(node56(c_p1, s4)), introduced(assumption)).
% 49.42/32.07 tff(6576,assumption,(~m_processor_v_state(c_p1, s4, c_owned)), introduced(assumption)).
% 49.42/32.07 tff(6577,plain,
% 49.42/32.07 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | ((~node56(c_p1, s4)) | m_processor_v_state(c_p1, s4, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (~node56(c_p1, s4)) | m_processor_v_state(c_p1, s4, c_owned))),
% 49.42/32.07 inference(rewrite,[status(thm)],[])).
% 49.42/32.07 tff(6578,plain,
% 49.42/32.07 ((m_processor_v_state(c_p1, s4, c_owned) | (~node56(c_p1, s4))) <=> ((~node56(c_p1, s4)) | m_processor_v_state(c_p1, s4, c_owned))),
% 49.42/32.07 inference(rewrite,[status(thm)],[])).
% 49.42/32.07 tff(6579,plain,
% 49.42/32.07 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s4, c_owned) | (~node56(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | ((~node56(c_p1, s4)) | m_processor_v_state(c_p1, s4, c_owned)))),
% 49.42/32.07 inference(monotonicity,[status(thm)],[6578])).
% 49.42/32.07 tff(6580,plain,
% 49.42/32.07 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s4, c_owned) | (~node56(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (~node56(c_p1, s4)) | m_processor_v_state(c_p1, s4, c_owned))),
% 49.42/32.07 inference(transitivity,[status(thm)],[6579, 6577])).
% 49.42/32.07 tff(6581,plain,
% 49.42/32.07 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s4, c_owned) | (~node56(c_p1, s4)))),
% 49.42/32.07 inference(quant_inst,[status(thm)],[])).
% 49.42/32.07 tff(6582,plain,
% 49.42/32.07 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (~node56(c_p1, s4)) | m_processor_v_state(c_p1, s4, c_owned)),
% 49.42/32.07 inference(modus_ponens,[status(thm)],[6581, 6580])).
% 49.42/32.07 tff(6583,plain,
% 49.42/32.07 ($false),
% 49.42/32.07 inference(unit_resolution,[status(thm)],[6582, 13, 6576, 6575])).
% 49.42/32.07 tff(6584,plain,((~node56(c_p1, s4)) | m_processor_v_state(c_p1, s4, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.42/32.07 tff(6585,plain,
% 49.42/32.07 (m_processor_v_state(c_p1, s4, c_owned)),
% 49.42/32.07 inference(unit_resolution,[status(thm)],[6584, 6575])).
% 49.42/32.07 tff(6586,plain,
% 49.42/32.07 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_state(c_p1, s4, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_state(c_p1, s4, c_shared)))),
% 49.42/32.07 inference(rewrite,[status(thm)],[])).
% 49.42/32.07 tff(6587,plain,
% 49.42/32.07 (((~m_processor_v_state(c_p1, s4, c_shared)) | (~m_processor_v_state(c_p1, s4, c_owned))) <=> ((~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_state(c_p1, s4, c_shared)))),
% 49.42/32.07 inference(rewrite,[status(thm)],[])).
% 49.42/32.07 tff(6588,plain,
% 49.42/32.07 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s4, c_shared)) | (~m_processor_v_state(c_p1, s4, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_state(c_p1, s4, c_shared))))),
% 49.42/32.07 inference(monotonicity,[status(thm)],[6587])).
% 49.42/32.07 tff(6589,plain,
% 49.42/32.07 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s4, c_shared)) | (~m_processor_v_state(c_p1, s4, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_state(c_p1, s4, c_shared)))),
% 49.42/32.07 inference(transitivity,[status(thm)],[6588, 6586])).
% 49.42/32.07 tff(6590,plain,
% 49.42/32.07 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s4, c_shared)) | (~m_processor_v_state(c_p1, s4, c_owned)))),
% 49.42/32.07 inference(quant_inst,[status(thm)],[])).
% 49.42/32.07 tff(6591,plain,
% 49.42/32.07 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_state(c_p1, s4, c_shared))),
% 49.42/32.07 inference(modus_ponens,[status(thm)],[6590, 6589])).
% 49.42/32.07 tff(6592,plain,
% 49.42/32.07 (~m_processor_v_state(c_p1, s4, c_shared)),
% 49.42/32.07 inference(unit_resolution,[status(thm)],[6591, 121, 6585])).
% 49.42/32.07 tff(6593,plain,
% 49.42/32.07 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~node33(c_p1, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~node33(c_p1, s3, s4)))),
% 49.42/32.07 inference(rewrite,[status(thm)],[])).
% 49.42/32.07 tff(6594,plain,
% 49.42/32.07 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~node33(c_p1, s3, s4)))),
% 49.42/32.07 inference(quant_inst,[status(thm)],[])).
% 49.42/32.07 tff(6595,plain,
% 49.42/32.07 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~node33(c_p1, s3, s4))),
% 49.42/32.07 inference(modus_ponens,[status(thm)],[6594, 6593])).
% 49.42/32.07 tff(6596,plain,
% 49.42/32.07 (~node33(c_p1, s3, s4)),
% 49.42/32.07 inference(unit_resolution,[status(thm)],[6595, 830, 6585, 5656])).
% 49.42/32.07 tff(6597,plain,
% 49.42/32.07 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s4, c_invalid)) | (~m_processor_v_state(c_p1, s4, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s4, c_invalid)) | (~m_processor_v_state(c_p1, s4, c_owned)))),
% 49.42/32.07 inference(rewrite,[status(thm)],[])).
% 49.42/32.07 tff(6598,plain,
% 49.42/32.07 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s4, c_invalid)) | (~m_processor_v_state(c_p1, s4, c_owned)))),
% 49.42/32.07 inference(quant_inst,[status(thm)],[])).
% 49.42/32.07 tff(6599,plain,
% 49.42/32.07 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s4, c_invalid)) | (~m_processor_v_state(c_p1, s4, c_owned))),
% 49.42/32.07 inference(modus_ponens,[status(thm)],[6598, 6597])).
% 49.42/32.07 tff(6600,plain,
% 49.42/32.07 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 49.42/32.07 inference(unit_resolution,[status(thm)],[6599, 137, 6585])).
% 49.46/32.07 tff(6601,plain,
% 49.46/32.07 (((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p1, s4)) | (~node56(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p1, s4)) | (~node56(c_p1, s4)))),
% 49.46/32.07 inference(rewrite,[status(thm)],[])).
% 49.46/32.07 tff(6602,plain,
% 49.46/32.07 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p1, s4)) | (~node56(c_p1, s4)))),
% 49.46/32.07 inference(quant_inst,[status(thm)],[])).
% 49.46/32.07 tff(6603,plain,
% 49.46/32.07 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p1, s4)) | (~node56(c_p1, s4))),
% 49.46/32.07 inference(modus_ponens,[status(thm)],[6602, 6601])).
% 49.46/32.07 tff(6604,plain,
% 49.46/32.07 (~m_processor_v_waiting(c_p1, s4)),
% 49.46/32.07 inference(unit_resolution,[status(thm)],[6603, 540, 6575])).
% 49.46/32.07 tff(6605,assumption,(m_processor_v_state(c_p1, s4, c_owned)), introduced(assumption)).
% 49.46/32.07 tff(6606,plain,
% 49.46/32.07 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 49.46/32.07 inference(unit_resolution,[status(thm)],[6599, 137, 6605])).
% 49.46/32.07 tff(6607,assumption,(~m_processor_v_master(c_p1, s3)), introduced(assumption)).
% 49.46/32.07 tff(6608,assumption,(node36(c_p1, s3)), introduced(assumption)).
% 49.46/32.07 tff(6609,plain,
% 49.46/32.07 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p1, s3, c_shared) | (~node36(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p1, s3, c_shared) | (~node36(c_p1, s3)))),
% 49.46/32.07 inference(rewrite,[status(thm)],[])).
% 49.46/32.07 tff(6610,plain,
% 49.46/32.07 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p1, s3, c_shared) | (~node36(c_p1, s3)))),
% 49.46/32.07 inference(quant_inst,[status(thm)],[])).
% 49.46/32.07 tff(6611,plain,
% 49.46/32.07 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p1, s3, c_shared) | (~node36(c_p1, s3))),
% 49.46/32.07 inference(modus_ponens,[status(thm)],[6610, 6609])).
% 49.46/32.07 tff(6612,plain,
% 49.46/32.07 ($false),
% 49.46/32.07 inference(unit_resolution,[status(thm)],[6611, 167, 5277, 6608])).
% 49.46/32.07 tff(6613,plain,((~node36(c_p1, s3)) | m_processor_v_state(c_p1, s3, c_shared)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.07 tff(6614,plain,
% 49.46/32.07 (~node36(c_p1, s3)),
% 49.46/32.07 inference(unit_resolution,[status(thm)],[6613, 5277])).
% 49.46/32.07 tff(6615,plain,
% 49.46/32.07 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~node37(c_p1, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~node37(c_p1, s3, s4)))),
% 49.46/32.07 inference(rewrite,[status(thm)],[])).
% 49.46/32.07 tff(6616,plain,
% 49.46/32.07 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~node37(c_p1, s3, s4)))),
% 49.46/32.07 inference(quant_inst,[status(thm)],[])).
% 49.46/32.07 tff(6617,plain,
% 49.46/32.07 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~node37(c_p1, s3, s4))),
% 49.46/32.07 inference(modus_ponens,[status(thm)],[6616, 6615])).
% 49.46/32.07 tff(6618,plain,
% 49.46/32.07 (~node37(c_p1, s3, s4)),
% 49.46/32.07 inference(unit_resolution,[status(thm)],[6617, 182, 6605, 5656])).
% 49.46/32.07 tff(6619,assumption,(~node38(c_p1, s3, s4)), introduced(assumption)).
% 49.46/32.07 tff(6620,plain,
% 49.46/32.07 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s3, s4)) | trans(s3, s4))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s3, s4)) | trans(s3, s4))),
% 49.46/32.07 inference(rewrite,[status(thm)],[])).
% 49.46/32.07 tff(6621,plain,
% 49.46/32.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s3, s4)) | trans(s3, s4))),
% 49.46/32.07 inference(quant_inst,[status(thm)],[])).
% 49.46/32.07 tff(6622,plain,
% 49.46/32.07 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s3, s4)) | trans(s3, s4)),
% 49.46/32.07 inference(modus_ponens,[status(thm)],[6621, 6620])).
% 49.46/32.07 tff(6623,plain,
% 49.46/32.07 (trans(s3, s4)),
% 49.46/32.07 inference(unit_resolution,[status(thm)],[6622, 5871, 196])).
% 49.46/32.07 tff(6624,plain,
% 49.46/32.07 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s3, s4)) | node38(c_p1, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s3, s4)) | node38(c_p1, s3, s4))),
% 49.46/32.07 inference(rewrite,[status(thm)],[])).
% 49.46/32.07 tff(6625,plain,
% 49.46/32.07 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s3, s4)) | node38(c_p1, s3, s4))),
% 49.46/32.07 inference(quant_inst,[status(thm)],[])).
% 49.46/32.07 tff(6626,plain,
% 49.46/32.07 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s3, s4)) | node38(c_p1, s3, s4)),
% 49.46/32.07 inference(modus_ponens,[status(thm)],[6625, 6624])).
% 49.46/32.07 tff(6627,plain,
% 49.46/32.07 ($false),
% 49.46/32.07 inference(unit_resolution,[status(thm)],[6626, 210, 6623, 6619])).
% 49.46/32.07 tff(6628,plain,(node38(c_p1, s3, s4)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.07 tff(6629,plain,
% 49.46/32.07 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s3, c_shared) | node36(c_p1, s3) | m_processor_v_abort(c_p1, s3) | (~node38(c_p1, s3, s4)) | node37(c_p1, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s3, c_shared) | node36(c_p1, s3) | m_processor_v_abort(c_p1, s3) | (~node38(c_p1, s3, s4)) | node37(c_p1, s3, s4))),
% 49.46/32.07 inference(rewrite,[status(thm)],[])).
% 49.46/32.07 tff(6630,plain,
% 49.46/32.07 ((m_processor_v_state(c_p1, s3, c_shared) | node36(c_p1, s3) | m_processor_v_master(c_p1, s3) | node37(c_p1, s3, s4) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3)) <=> (m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s3, c_shared) | node36(c_p1, s3) | m_processor_v_abort(c_p1, s3) | (~node38(c_p1, s3, s4)) | node37(c_p1, s3, s4))),
% 49.46/32.07 inference(rewrite,[status(thm)],[])).
% 49.46/32.07 tff(6631,plain,
% 49.46/32.07 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s3, c_shared) | node36(c_p1, s3) | m_processor_v_master(c_p1, s3) | node37(c_p1, s3, s4) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s3, c_shared) | node36(c_p1, s3) | m_processor_v_abort(c_p1, s3) | (~node38(c_p1, s3, s4)) | node37(c_p1, s3, s4)))),
% 49.46/32.07 inference(monotonicity,[status(thm)],[6630])).
% 49.46/32.07 tff(6632,plain,
% 49.46/32.07 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s3, c_shared) | node36(c_p1, s3) | m_processor_v_master(c_p1, s3) | node37(c_p1, s3, s4) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s3, c_shared) | node36(c_p1, s3) | m_processor_v_abort(c_p1, s3) | (~node38(c_p1, s3, s4)) | node37(c_p1, s3, s4))),
% 49.46/32.07 inference(transitivity,[status(thm)],[6631, 6629])).
% 49.46/32.07 tff(6633,plain,
% 49.46/32.07 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s3, c_shared) | node36(c_p1, s3) | m_processor_v_master(c_p1, s3) | node37(c_p1, s3, s4) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3))),
% 49.46/32.07 inference(quant_inst,[status(thm)],[])).
% 49.46/32.07 tff(6634,plain,
% 49.46/32.07 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s3, c_shared) | node36(c_p1, s3) | m_processor_v_abort(c_p1, s3) | (~node38(c_p1, s3, s4)) | node37(c_p1, s3, s4)),
% 49.46/32.07 inference(modus_ponens,[status(thm)],[6633, 6632])).
% 49.46/32.07 tff(6635,plain,
% 49.46/32.07 (m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s3, c_shared) | node36(c_p1, s3) | m_processor_v_abort(c_p1, s3) | node37(c_p1, s3, s4)),
% 49.46/32.07 inference(unit_resolution,[status(thm)],[6634, 225, 6628])).
% 49.46/32.07 tff(6636,plain,
% 49.46/32.07 (m_processor_v_abort(c_p1, s3)),
% 49.46/32.07 inference(unit_resolution,[status(thm)],[6635, 6618, 6607, 6614, 5277])).
% 49.46/32.07 tff(6637,plain,
% 49.46/32.07 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s3, s4) | (~node38(c_p1, s3, s4)) | (~m_processor_v_abort(c_p1, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p1, s3, s4) | (~node38(c_p1, s3, s4)) | (~m_processor_v_abort(c_p1, s3)))),
% 49.46/32.07 inference(rewrite,[status(thm)],[])).
% 49.46/32.07 tff(6638,plain,
% 49.46/32.07 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s3, s4) | (~node38(c_p1, s3, s4)) | (~m_processor_v_abort(c_p1, s3)))),
% 49.46/32.07 inference(quant_inst,[status(thm)],[])).
% 49.46/32.07 tff(6639,plain,
% 49.46/32.07 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p1, s3, s4) | (~node38(c_p1, s3, s4)) | (~m_processor_v_abort(c_p1, s3))),
% 49.46/32.07 inference(modus_ponens,[status(thm)],[6638, 6637])).
% 49.46/32.07 tff(6640,plain,
% 49.46/32.07 (node32(c_p1, s3, s4) | (~m_processor_v_abort(c_p1, s3))),
% 49.46/32.07 inference(unit_resolution,[status(thm)],[6639, 243, 6628])).
% 49.46/32.07 tff(6641,plain,
% 49.46/32.07 (node32(c_p1, s3, s4)),
% 49.46/32.07 inference(unit_resolution,[status(thm)],[6640, 6636])).
% 49.46/32.07 tff(6642,plain,
% 49.46/32.07 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid))),
% 49.46/32.07 inference(rewrite,[status(thm)],[])).
% 49.46/32.07 tff(6643,plain,
% 49.46/32.07 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid))),
% 49.46/32.07 inference(quant_inst,[status(thm)],[])).
% 49.46/32.07 tff(6644,plain,
% 49.46/32.07 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid)),
% 49.46/32.07 inference(modus_ponens,[status(thm)],[6643, 6642])).
% 49.46/32.07 tff(6645,plain,
% 49.46/32.07 ($false),
% 49.46/32.07 inference(unit_resolution,[status(thm)],[6644, 153, 5277, 5091, 5656])).
% 49.46/32.07 tff(6646,plain,(m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.07 tff(6647,plain,
% 49.46/32.07 (m_processor_v_state(c_p1, s3, c_invalid)),
% 49.46/32.07 inference(unit_resolution,[status(thm)],[6646, 5277, 5656])).
% 49.46/32.07 tff(6648,plain,
% 49.46/32.07 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_state(c_p1, s4, c_invalid) | (~node32(c_p1, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_state(c_p1, s4, c_invalid) | (~node32(c_p1, s3, s4)))),
% 49.46/32.08 inference(rewrite,[status(thm)],[])).
% 49.46/32.08 tff(6649,plain,
% 49.46/32.08 (((~node32(c_p1, s3, s4)) | (~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_state(c_p1, s4, c_invalid)) <=> ((~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_state(c_p1, s4, c_invalid) | (~node32(c_p1, s3, s4)))),
% 49.46/32.08 inference(rewrite,[status(thm)],[])).
% 49.46/32.08 tff(6650,plain,
% 49.46/32.08 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s3, s4)) | (~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_state(c_p1, s4, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_state(c_p1, s4, c_invalid) | (~node32(c_p1, s3, s4))))),
% 49.46/32.08 inference(monotonicity,[status(thm)],[6649])).
% 49.46/32.08 tff(6651,plain,
% 49.46/32.08 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s3, s4)) | (~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_state(c_p1, s4, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_state(c_p1, s4, c_invalid) | (~node32(c_p1, s3, s4)))),
% 49.46/32.08 inference(transitivity,[status(thm)],[6650, 6648])).
% 49.46/32.08 tff(6652,plain,
% 49.46/32.08 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s3, s4)) | (~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_state(c_p1, s4, c_invalid))),
% 49.46/32.08 inference(quant_inst,[status(thm)],[])).
% 49.46/32.08 tff(6653,plain,
% 49.46/32.08 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_state(c_p1, s4, c_invalid) | (~node32(c_p1, s3, s4))),
% 49.46/32.08 inference(modus_ponens,[status(thm)],[6652, 6651])).
% 49.46/32.08 tff(6654,plain,
% 49.46/32.08 ($false),
% 49.46/32.08 inference(unit_resolution,[status(thm)],[6653, 380, 6647, 6606, 6641])).
% 49.46/32.08 tff(6655,plain,((~m_processor_v_state(c_p1, s4, c_owned)) | m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.08 tff(6656,plain,
% 49.46/32.08 (m_processor_v_state(c_p1, s3, c_shared)),
% 49.46/32.08 inference(unit_resolution,[status(thm)],[6655, 6605, 6607, 5656])).
% 49.46/32.08 tff(6657,assumption,(~m_processor_v_state(c_p1, s4, c_shared)), introduced(assumption)).
% 49.46/32.08 tff(6658,assumption,(node32(c_p1, s3, s4)), introduced(assumption)).
% 49.46/32.08 tff(6659,assumption,(m_processor_v_state(c_p1, s3, c_shared)), introduced(assumption)).
% 49.46/32.08 tff(6660,plain,
% 49.46/32.08 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared) | (~node32(c_p1, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared) | (~node32(c_p1, s3, s4)))),
% 49.46/32.08 inference(rewrite,[status(thm)],[])).
% 49.46/32.08 tff(6661,plain,
% 49.46/32.08 (((~node32(c_p1, s3, s4)) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared)) <=> ((~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared) | (~node32(c_p1, s3, s4)))),
% 49.46/32.08 inference(rewrite,[status(thm)],[])).
% 49.46/32.08 tff(6662,plain,
% 49.46/32.08 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s3, s4)) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared) | (~node32(c_p1, s3, s4))))),
% 49.46/32.08 inference(monotonicity,[status(thm)],[6661])).
% 49.46/32.08 tff(6663,plain,
% 49.46/32.08 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s3, s4)) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared) | (~node32(c_p1, s3, s4)))),
% 49.46/32.08 inference(transitivity,[status(thm)],[6662, 6660])).
% 49.46/32.08 tff(6664,plain,
% 49.46/32.08 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s3, s4)) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared))),
% 49.46/32.08 inference(quant_inst,[status(thm)],[])).
% 49.46/32.08 tff(6665,plain,
% 49.46/32.08 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared) | (~node32(c_p1, s3, s4))),
% 49.46/32.08 inference(modus_ponens,[status(thm)],[6664, 6663])).
% 49.46/32.08 tff(6666,plain,
% 49.46/32.08 ($false),
% 49.46/32.08 inference(unit_resolution,[status(thm)],[6665, 380, 6659, 6657, 6658])).
% 49.46/32.08 tff(6667,plain,((~node32(c_p1, s3, s4)) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.08 tff(6668,plain,
% 49.46/32.08 (~node32(c_p1, s3, s4)),
% 49.46/32.08 inference(unit_resolution,[status(thm)],[6667, 6656, 6657])).
% 49.46/32.08 tff(6669,plain,
% 49.46/32.08 (~m_processor_v_abort(c_p1, s3)),
% 49.46/32.08 inference(unit_resolution,[status(thm)],[6640, 6668])).
% 49.46/32.08 tff(6670,plain,
% 49.46/32.08 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p1, s3) | m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_abort(c_p1, s3) | (~node38(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p1, s3) | m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_abort(c_p1, s3) | (~node38(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_invalid))),
% 49.46/32.08 inference(rewrite,[status(thm)],[])).
% 49.46/32.08 tff(6671,plain,
% 49.46/32.08 (((~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_master(c_p1, s3) | node35(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3)) <=> (node35(c_p1, s3) | m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_abort(c_p1, s3) | (~node38(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_invalid))),
% 49.46/32.08 inference(rewrite,[status(thm)],[])).
% 49.46/32.08 tff(6672,plain,
% 49.46/32.08 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_master(c_p1, s3) | node35(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p1, s3) | m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_abort(c_p1, s3) | (~node38(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_invalid)))),
% 49.46/32.08 inference(monotonicity,[status(thm)],[6671])).
% 49.46/32.08 tff(6673,plain,
% 49.46/32.08 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_master(c_p1, s3) | node35(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p1, s3) | m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_abort(c_p1, s3) | (~node38(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_invalid))),
% 49.46/32.08 inference(transitivity,[status(thm)],[6672, 6670])).
% 49.46/32.08 tff(6674,plain,
% 49.46/32.08 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_master(c_p1, s3) | node35(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3))),
% 49.46/32.08 inference(quant_inst,[status(thm)],[])).
% 49.46/32.08 tff(6675,plain,
% 49.46/32.08 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p1, s3) | m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_abort(c_p1, s3) | (~node38(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_invalid)),
% 49.46/32.08 inference(modus_ponens,[status(thm)],[6674, 6673])).
% 49.46/32.08 tff(6676,plain,
% 49.46/32.08 (node35(c_p1, s3) | m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_abort(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid)),
% 49.46/32.08 inference(unit_resolution,[status(thm)],[6675, 301, 6628])).
% 49.46/32.08 tff(6677,plain,
% 49.46/32.08 (node35(c_p1, s3)),
% 49.46/32.08 inference(unit_resolution,[status(thm)],[6676, 6669, 6607, 6656, 6606])).
% 49.46/32.08 tff(6678,plain,
% 49.46/32.08 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~node35(c_p1, s3)) | (~m_processor_v_CMD(c_p1, s3, c_invalidate)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~node35(c_p1, s3)) | (~m_processor_v_CMD(c_p1, s3, c_invalidate)))),
% 49.46/32.08 inference(rewrite,[status(thm)],[])).
% 49.46/32.08 tff(6679,plain,
% 49.46/32.08 (((~m_processor_v_CMD(c_p1, s3, c_invalidate)) | (~node35(c_p1, s3))) <=> ((~node35(c_p1, s3)) | (~m_processor_v_CMD(c_p1, s3, c_invalidate)))),
% 49.46/32.08 inference(rewrite,[status(thm)],[])).
% 49.46/32.08 tff(6680,plain,
% 49.46/32.08 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s3, c_invalidate)) | (~node35(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~node35(c_p1, s3)) | (~m_processor_v_CMD(c_p1, s3, c_invalidate))))),
% 49.46/32.08 inference(monotonicity,[status(thm)],[6679])).
% 49.46/32.08 tff(6681,plain,
% 49.46/32.08 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s3, c_invalidate)) | (~node35(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~node35(c_p1, s3)) | (~m_processor_v_CMD(c_p1, s3, c_invalidate)))),
% 49.46/32.08 inference(transitivity,[status(thm)],[6680, 6678])).
% 49.46/32.08 tff(6682,plain,
% 49.46/32.08 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s3, c_invalidate)) | (~node35(c_p1, s3)))),
% 49.46/32.08 inference(quant_inst,[status(thm)],[])).
% 49.46/32.08 tff(6683,plain,
% 49.46/32.08 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~node35(c_p1, s3)) | (~m_processor_v_CMD(c_p1, s3, c_invalidate))),
% 49.46/32.08 inference(modus_ponens,[status(thm)],[6682, 6681])).
% 49.46/32.08 tff(6684,plain,
% 49.46/32.08 (~m_processor_v_CMD(c_p1, s3, c_invalidate)),
% 49.46/32.08 inference(unit_resolution,[status(thm)],[6683, 327, 6677])).
% 49.46/32.08 tff(6685,plain,
% 49.46/32.08 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | node36(c_p1, s3) | m_processor_v_abort(c_p1, s3) | (~node38(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s4, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | node36(c_p1, s3) | m_processor_v_abort(c_p1, s3) | (~node38(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s4, c_invalid))),
% 49.46/32.08 inference(rewrite,[status(thm)],[])).
% 49.46/32.08 tff(6686,plain,
% 49.46/32.08 (((~m_processor_v_state(c_p1, s3, c_shared)) | node36(c_p1, s3) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3)) <=> (m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | node36(c_p1, s3) | m_processor_v_abort(c_p1, s3) | (~node38(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s4, c_invalid))),
% 49.46/32.08 inference(rewrite,[status(thm)],[])).
% 49.46/32.08 tff(6687,plain,
% 49.46/32.08 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s3, c_shared)) | node36(c_p1, s3) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | node36(c_p1, s3) | m_processor_v_abort(c_p1, s3) | (~node38(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s4, c_invalid)))),
% 49.46/32.08 inference(monotonicity,[status(thm)],[6686])).
% 49.46/32.08 tff(6688,plain,
% 49.46/32.08 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s3, c_shared)) | node36(c_p1, s3) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | node36(c_p1, s3) | m_processor_v_abort(c_p1, s3) | (~node38(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s4, c_invalid))),
% 49.46/32.08 inference(transitivity,[status(thm)],[6687, 6685])).
% 49.46/32.08 tff(6689,plain,
% 49.46/32.08 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s3, c_shared)) | node36(c_p1, s3) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3))),
% 49.46/32.08 inference(quant_inst,[status(thm)],[])).
% 49.46/32.08 tff(6690,plain,
% 49.46/32.08 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | node36(c_p1, s3) | m_processor_v_abort(c_p1, s3) | (~node38(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s4, c_invalid)),
% 49.46/32.08 inference(modus_ponens,[status(thm)],[6689, 6688])).
% 49.46/32.08 tff(6691,plain,
% 49.46/32.08 (m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | node36(c_p1, s3) | m_processor_v_abort(c_p1, s3) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s4, c_invalid)),
% 49.46/32.08 inference(unit_resolution,[status(thm)],[6690, 341, 6628])).
% 49.46/32.08 tff(6692,plain,
% 49.46/32.08 (node36(c_p1, s3)),
% 49.46/32.08 inference(unit_resolution,[status(thm)],[6691, 6669, 6607, 6657, 6656, 6606])).
% 49.46/32.08 tff(6693,plain,
% 49.46/32.08 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~node35(c_p1, s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~node35(c_p1, s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)))),
% 49.46/32.08 inference(rewrite,[status(thm)],[])).
% 49.46/32.08 tff(6694,plain,
% 49.46/32.08 (((~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | (~node35(c_p1, s3))) <=> ((~node35(c_p1, s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)))),
% 49.46/32.08 inference(rewrite,[status(thm)],[])).
% 49.46/32.08 tff(6695,plain,
% 49.46/32.08 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | (~node35(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~node35(c_p1, s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned))))),
% 49.46/32.08 inference(monotonicity,[status(thm)],[6694])).
% 49.46/32.08 tff(6696,plain,
% 49.46/32.08 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | (~node35(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~node35(c_p1, s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)))),
% 49.46/32.08 inference(transitivity,[status(thm)],[6695, 6693])).
% 49.46/32.08 tff(6697,plain,
% 49.46/32.08 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | (~node35(c_p1, s3)))),
% 49.46/32.08 inference(quant_inst,[status(thm)],[])).
% 49.46/32.08 tff(6698,plain,
% 49.46/32.08 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~node35(c_p1, s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned))),
% 49.46/32.08 inference(modus_ponens,[status(thm)],[6697, 6696])).
% 49.46/32.08 tff(6699,plain,
% 49.46/32.08 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 49.46/32.08 inference(unit_resolution,[status(thm)],[6698, 316, 6677])).
% 49.46/32.08 tff(6700,plain,
% 49.46/32.08 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~node36(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_invalidate))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~node36(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_invalidate))),
% 49.46/32.08 inference(rewrite,[status(thm)],[])).
% 49.46/32.08 tff(6701,plain,
% 49.46/32.08 ((m_processor_v_CMD(c_p1, s3, c_invalidate) | (~node36(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_read_h_owned)) <=> (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~node36(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_invalidate))),
% 49.46/32.08 inference(rewrite,[status(thm)],[])).
% 49.46/32.08 tff(6702,plain,
% 49.46/32.08 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s3, c_invalidate) | (~node36(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~node36(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_invalidate)))),
% 49.46/32.08 inference(monotonicity,[status(thm)],[6701])).
% 49.46/32.08 tff(6703,plain,
% 49.46/32.08 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s3, c_invalidate) | (~node36(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~node36(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_invalidate))),
% 49.46/32.08 inference(transitivity,[status(thm)],[6702, 6700])).
% 49.46/32.08 tff(6704,plain,
% 49.46/32.08 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s3, c_invalidate) | (~node36(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_read_h_owned))),
% 49.46/32.08 inference(quant_inst,[status(thm)],[])).
% 49.46/32.08 tff(6705,plain,
% 49.46/32.08 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~node36(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_invalidate)),
% 49.46/32.08 inference(modus_ponens,[status(thm)],[6704, 6703])).
% 49.46/32.08 tff(6706,plain,
% 49.46/32.08 ($false),
% 49.46/32.08 inference(unit_resolution,[status(thm)],[6705, 359, 6699, 6692, 6684])).
% 49.46/32.08 tff(6707,plain,((~m_processor_v_state(c_p1, s4, c_owned)) | m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s3, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.08 tff(6708,plain,
% 49.46/32.08 (m_processor_v_master(c_p1, s3)),
% 49.46/32.08 inference(unit_resolution,[status(thm)],[6707, 6592, 5656, 6585])).
% 49.46/32.08 tff(6709,assumption,(~m_processor_v_waiting(c_p1, s4)), introduced(assumption)).
% 49.46/32.08 tff(6710,assumption,(~m_processor_v_abort(c_p1, s3)), introduced(assumption)).
% 49.46/32.08 tff(6711,assumption,(m_processor_v_master(c_p1, s3)), introduced(assumption)).
% 49.46/32.08 tff(6712,assumption,(~node33(c_p1, s3, s4)), introduced(assumption)).
% 49.46/32.08 tff(6713,assumption,(~m_processor_v_state(c_p1, s4, c_invalid)), introduced(assumption)).
% 49.46/32.08 tff(6714,plain,
% 49.46/32.08 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | (~node38(c_p1, s3, s4)) | node34(c_p1, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | (~node38(c_p1, s3, s4)) | node34(c_p1, s3, s4))),
% 49.46/32.08 inference(rewrite,[status(thm)],[])).
% 49.46/32.08 tff(6715,plain,
% 49.46/32.08 ((node34(c_p1, s3, s4) | (~m_processor_v_master(c_p1, s3)) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3)) <=> ((~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | (~node38(c_p1, s3, s4)) | node34(c_p1, s3, s4))),
% 49.46/32.08 inference(rewrite,[status(thm)],[])).
% 49.46/32.08 tff(6716,plain,
% 49.46/32.08 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s3, s4) | (~m_processor_v_master(c_p1, s3)) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | (~node38(c_p1, s3, s4)) | node34(c_p1, s3, s4)))),
% 49.46/32.09 inference(monotonicity,[status(thm)],[6715])).
% 49.46/32.09 tff(6717,plain,
% 49.46/32.09 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s3, s4) | (~m_processor_v_master(c_p1, s3)) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | (~node38(c_p1, s3, s4)) | node34(c_p1, s3, s4))),
% 49.46/32.09 inference(transitivity,[status(thm)],[6716, 6714])).
% 49.46/32.09 tff(6718,plain,
% 49.46/32.09 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s3, s4) | (~m_processor_v_master(c_p1, s3)) | (~node38(c_p1, s3, s4)) | m_processor_v_abort(c_p1, s3))),
% 49.46/32.09 inference(quant_inst,[status(thm)],[])).
% 49.46/32.09 tff(6719,plain,
% 49.46/32.09 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | (~node38(c_p1, s3, s4)) | node34(c_p1, s3, s4)),
% 49.46/32.09 inference(modus_ponens,[status(thm)],[6718, 6717])).
% 49.46/32.09 tff(6720,plain,
% 49.46/32.09 ((~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | node34(c_p1, s3, s4)),
% 49.46/32.09 inference(unit_resolution,[status(thm)],[6719, 283, 6628])).
% 49.46/32.09 tff(6721,plain,
% 49.46/32.09 (node34(c_p1, s3, s4)),
% 49.46/32.09 inference(unit_resolution,[status(thm)],[6720, 6710, 6711])).
% 49.46/32.09 tff(6722,assumption,(node34(c_p1, s3, s4)), introduced(assumption)).
% 49.46/32.09 tff(6723,plain,
% 49.46/32.09 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p1, s4, c_shared) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p1, s4, c_shared) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)))),
% 49.46/32.09 inference(rewrite,[status(thm)],[])).
% 49.46/32.09 tff(6724,plain,
% 49.46/32.09 (((~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared))) <=> (m_processor_v_state(c_p1, s4, c_shared) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)))),
% 49.46/32.09 inference(rewrite,[status(thm)],[])).
% 49.46/32.09 tff(6725,plain,
% 49.46/32.09 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p1, s4, c_shared) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared))))),
% 49.46/32.09 inference(monotonicity,[status(thm)],[6724])).
% 49.46/32.09 tff(6726,plain,
% 49.46/32.09 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p1, s4, c_shared) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)))),
% 49.46/32.09 inference(transitivity,[status(thm)],[6725, 6723])).
% 49.46/32.09 tff(6727,plain,
% 49.46/32.09 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)))),
% 49.46/32.09 inference(quant_inst,[status(thm)],[])).
% 49.46/32.09 tff(6728,plain,
% 49.46/32.09 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p1, s4, c_shared) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared))),
% 49.46/32.09 inference(modus_ponens,[status(thm)],[6727, 6726])).
% 49.46/32.09 tff(6729,plain,
% 49.46/32.09 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 49.46/32.09 inference(unit_resolution,[status(thm)],[6728, 416, 6657, 6722])).
% 49.46/32.09 tff(6730,assumption,(~m_processor_v_CMD(c_p1, s3, c_read_h_owned)), introduced(assumption)).
% 49.46/32.09 tff(6731,assumption,(~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)), introduced(assumption)).
% 49.46/32.09 tff(6732,plain,
% 49.46/32.09 (m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared))),
% 49.46/32.09 inference(unit_resolution,[status(thm)],[6728, 416, 6722])).
% 49.46/32.09 tff(6733,plain,
% 49.46/32.09 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 49.46/32.09 inference(unit_resolution,[status(thm)],[6732, 6657])).
% 49.46/32.09 tff(6734,plain,
% 49.46/32.09 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)))),
% 49.46/32.09 inference(rewrite,[status(thm)],[])).
% 49.46/32.09 tff(6735,plain,
% 49.46/32.09 (((~node34(c_p1, s3, s4)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_state(c_p1, s4, c_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid))) <=> (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)))),
% 49.46/32.09 inference(rewrite,[status(thm)],[])).
% 49.46/32.09 tff(6736,plain,
% 49.46/32.09 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s3, s4)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_state(c_p1, s4, c_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid))))),
% 49.46/32.09 inference(monotonicity,[status(thm)],[6735])).
% 49.46/32.09 tff(6737,plain,
% 49.46/32.09 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s3, s4)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_state(c_p1, s4, c_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)))),
% 49.46/32.09 inference(transitivity,[status(thm)],[6736, 6734])).
% 49.46/32.09 tff(6738,plain,
% 49.46/32.09 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s3, s4)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_state(c_p1, s4, c_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)))),
% 49.46/32.09 inference(quant_inst,[status(thm)],[])).
% 49.46/32.09 tff(6739,plain,
% 49.46/32.09 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid))),
% 49.46/32.09 inference(modus_ponens,[status(thm)],[6738, 6737])).
% 49.46/32.09 tff(6740,plain,
% 49.46/32.09 (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid))),
% 49.46/32.09 inference(unit_resolution,[status(thm)],[6739, 438, 6713, 6722])).
% 49.46/32.09 tff(6741,plain,
% 49.46/32.09 (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)),
% 49.46/32.09 inference(unit_resolution,[status(thm)],[6740, 6730, 6733, 6731])).
% 49.46/32.09 tff(6742,assumption,(~m_processor_v_CMD(c_p1, s3, c_write_h_shared)), introduced(assumption)).
% 49.46/32.09 tff(6743,assumption,(~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)), introduced(assumption)).
% 49.46/32.09 tff(6744,plain,
% 49.46/32.09 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | node33(c_p1, s3, s4) | (~node34(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | node33(c_p1, s3, s4) | (~node34(c_p1, s3, s4)))),
% 49.46/32.09 inference(rewrite,[status(thm)],[])).
% 49.46/32.09 tff(6745,plain,
% 49.46/32.09 ((node33(c_p1, s3, s4) | (~node34(c_p1, s3, s4)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | node33(c_p1, s3, s4) | (~node34(c_p1, s3, s4)))),
% 49.46/32.09 inference(rewrite,[status(thm)],[])).
% 49.46/32.09 tff(6746,plain,
% 49.46/32.09 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s3, s4) | (~node34(c_p1, s3, s4)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | node33(c_p1, s3, s4) | (~node34(c_p1, s3, s4))))),
% 49.46/32.09 inference(monotonicity,[status(thm)],[6745])).
% 49.46/32.09 tff(6747,plain,
% 49.46/32.09 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s3, s4) | (~node34(c_p1, s3, s4)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | node33(c_p1, s3, s4) | (~node34(c_p1, s3, s4)))),
% 49.46/32.09 inference(transitivity,[status(thm)],[6746, 6744])).
% 49.46/32.09 tff(6748,plain,
% 49.46/32.09 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s3, s4) | (~node34(c_p1, s3, s4)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared))),
% 49.46/32.09 inference(quant_inst,[status(thm)],[])).
% 49.46/32.09 tff(6749,plain,
% 49.46/32.09 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | node33(c_p1, s3, s4) | (~node34(c_p1, s3, s4))),
% 49.46/32.09 inference(modus_ponens,[status(thm)],[6748, 6747])).
% 49.46/32.09 tff(6750,plain,
% 49.46/32.09 (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | node33(c_p1, s3, s4)),
% 49.46/32.09 inference(unit_resolution,[status(thm)],[6749, 474, 6722])).
% 49.46/32.09 tff(6751,plain,
% 49.46/32.09 (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)),
% 49.46/32.09 inference(unit_resolution,[status(thm)],[6750, 6731, 6729, 6730, 6712, 6742, 6743])).
% 49.46/32.09 tff(6752,plain,
% 49.46/32.09 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_state(c_p1, s4, c_shared) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_state(c_p1, s4, c_shared) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)))),
% 49.46/32.09 inference(rewrite,[status(thm)],[])).
% 49.46/32.09 tff(6753,plain,
% 49.46/32.09 (((~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared))) <=> (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_state(c_p1, s4, c_shared) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)))),
% 49.46/32.09 inference(rewrite,[status(thm)],[])).
% 49.46/32.09 tff(6754,plain,
% 49.46/32.09 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_state(c_p1, s4, c_shared) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared))))),
% 49.46/32.09 inference(monotonicity,[status(thm)],[6753])).
% 49.46/32.09 tff(6755,plain,
% 49.46/32.09 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_state(c_p1, s4, c_shared) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)))),
% 49.46/32.09 inference(transitivity,[status(thm)],[6754, 6752])).
% 49.46/32.09 tff(6756,plain,
% 49.46/32.09 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)))),
% 49.46/32.10 inference(quant_inst,[status(thm)],[])).
% 49.46/32.10 tff(6757,plain,
% 49.46/32.10 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_state(c_p1, s4, c_shared) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared))),
% 49.46/32.10 inference(modus_ponens,[status(thm)],[6756, 6755])).
% 49.46/32.10 tff(6758,plain,
% 49.46/32.10 (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared))),
% 49.46/32.10 inference(unit_resolution,[status(thm)],[6757, 492, 6657, 6722])).
% 49.46/32.10 tff(6759,plain,
% 49.46/32.10 ($false),
% 49.46/32.10 inference(unit_resolution,[status(thm)],[6758, 6751, 6731, 6729, 6730, 6743, 6742])).
% 49.46/32.10 tff(6760,plain,(m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_state(c_p1, s4, c_shared) | (~node34(c_p1, s3, s4)) | node33(c_p1, s3, s4)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.10 tff(6761,plain,
% 49.46/32.10 (m_processor_v_CMD(c_p1, s3, c_write_h_shared)),
% 49.46/32.10 inference(unit_resolution,[status(thm)],[6760, 6730, 6722, 6657, 6712, 6731, 6741])).
% 49.46/32.10 tff(6762,plain,
% 49.46/32.10 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_state(c_p1, s4, c_shared) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_state(c_p1, s4, c_shared) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared)))),
% 49.46/32.10 inference(rewrite,[status(thm)],[])).
% 49.46/32.10 tff(6763,plain,
% 49.46/32.10 (((~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared))) <=> (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_state(c_p1, s4, c_shared) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared)))),
% 49.46/32.10 inference(rewrite,[status(thm)],[])).
% 49.46/32.10 tff(6764,plain,
% 49.46/32.10 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_state(c_p1, s4, c_shared) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared))))),
% 49.46/32.10 inference(monotonicity,[status(thm)],[6763])).
% 49.46/32.10 tff(6765,plain,
% 49.46/32.10 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_state(c_p1, s4, c_shared) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared)))),
% 49.46/32.10 inference(transitivity,[status(thm)],[6764, 6762])).
% 49.46/32.10 tff(6766,plain,
% 49.46/32.10 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared)))),
% 49.46/32.10 inference(quant_inst,[status(thm)],[])).
% 49.46/32.10 tff(6767,plain,
% 49.46/32.10 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_state(c_p1, s4, c_shared) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared))),
% 49.46/32.10 inference(modus_ponens,[status(thm)],[6766, 6765])).
% 49.46/32.10 tff(6768,plain,
% 49.46/32.10 (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared))),
% 49.46/32.10 inference(unit_resolution,[status(thm)],[6767, 456, 6722])).
% 49.46/32.10 tff(6769,plain,
% 49.46/32.10 ($false),
% 49.46/32.10 inference(unit_resolution,[status(thm)],[6768, 6761, 6741, 6733, 6731, 6730, 6657])).
% 49.46/32.10 tff(6770,plain,(m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_state(c_p1, s4, c_shared) | (~node34(c_p1, s3, s4)) | node33(c_p1, s3, s4) | m_processor_v_state(c_p1, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.10 tff(6771,plain,
% 49.46/32.10 (m_processor_v_CMD(c_p1, s3, c_write_h_invalid)),
% 49.46/32.10 inference(unit_resolution,[status(thm)],[6770, 6730, 6657, 6712, 6722, 6713])).
% 49.46/32.10 tff(6772,plain,
% 49.46/32.10 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)))),
% 49.46/32.10 inference(rewrite,[status(thm)],[])).
% 49.46/32.10 tff(6773,plain,
% 49.46/32.10 (((~node34(c_p1, s3, s4)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_state(c_p1, s4, c_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid))) <=> (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)))),
% 49.46/32.10 inference(rewrite,[status(thm)],[])).
% 49.46/32.10 tff(6774,plain,
% 49.46/32.10 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s3, s4)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_state(c_p1, s4, c_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid))))),
% 49.46/32.10 inference(monotonicity,[status(thm)],[6773])).
% 49.46/32.10 tff(6775,plain,
% 49.46/32.10 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s3, s4)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_state(c_p1, s4, c_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)))),
% 49.46/32.10 inference(transitivity,[status(thm)],[6774, 6772])).
% 49.46/32.10 tff(6776,plain,
% 49.46/32.10 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s3, s4)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_state(c_p1, s4, c_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)))),
% 49.46/32.10 inference(quant_inst,[status(thm)],[])).
% 49.46/32.10 tff(6777,plain,
% 49.46/32.10 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | (~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid))),
% 49.46/32.10 inference(modus_ponens,[status(thm)],[6776, 6775])).
% 49.46/32.10 tff(6778,plain,
% 49.46/32.10 (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid))),
% 49.46/32.10 inference(unit_resolution,[status(thm)],[6777, 512, 6713, 6722])).
% 49.46/32.10 tff(6779,plain,
% 49.46/32.10 ($false),
% 49.46/32.10 inference(unit_resolution,[status(thm)],[6778, 6771, 6730, 6729])).
% 49.46/32.10 tff(6780,plain,(m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_state(c_p1, s4, c_invalid) | (~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_shared) | node33(c_p1, s3, s4)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.10 tff(6781,plain,
% 49.46/32.10 (m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 49.46/32.10 inference(unit_resolution,[status(thm)],[6780, 6721, 6657, 6713, 6712])).
% 49.46/32.10 tff(6782,plain,
% 49.46/32.10 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s3, s4)) | node53(c_p1, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s3, s4)) | node53(c_p1, s3, s4))),
% 49.46/32.10 inference(rewrite,[status(thm)],[])).
% 49.46/32.10 tff(6783,plain,
% 49.46/32.10 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s3, s4)) | node53(c_p1, s3, s4))),
% 49.46/32.10 inference(quant_inst,[status(thm)],[])).
% 49.46/32.10 tff(6784,plain,
% 49.46/32.10 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s3, s4)) | node53(c_p1, s3, s4)),
% 49.46/32.10 inference(modus_ponens,[status(thm)],[6783, 6782])).
% 49.46/32.10 tff(6785,plain,
% 49.46/32.10 (node53(c_p1, s3, s4)),
% 49.46/32.10 inference(unit_resolution,[status(thm)],[6784, 575, 6623])).
% 49.46/32.10 tff(6786,plain,
% 49.46/32.10 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | m_processor_v_waiting(c_p1, s4) | node47(c_p1, s3) | (~node53(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | m_processor_v_waiting(c_p1, s4) | node47(c_p1, s3) | (~node53(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)))),
% 49.46/32.10 inference(rewrite,[status(thm)],[])).
% 49.46/32.10 tff(6787,plain,
% 49.46/32.10 ((m_processor_v_waiting(c_p1, s4) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | node47(c_p1, s3) | (~node53(c_p1, s3, s4))) <=> ((~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | m_processor_v_waiting(c_p1, s4) | node47(c_p1, s3) | (~node53(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)))),
% 49.46/32.10 inference(rewrite,[status(thm)],[])).
% 49.46/32.10 tff(6788,plain,
% 49.46/32.10 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s4) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | node47(c_p1, s3) | (~node53(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | m_processor_v_waiting(c_p1, s4) | node47(c_p1, s3) | (~node53(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned))))),
% 49.46/32.10 inference(monotonicity,[status(thm)],[6787])).
% 49.46/32.10 tff(6789,plain,
% 49.46/32.10 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s4) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | node47(c_p1, s3) | (~node53(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | m_processor_v_waiting(c_p1, s4) | node47(c_p1, s3) | (~node53(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)))),
% 49.46/32.10 inference(transitivity,[status(thm)],[6788, 6786])).
% 49.46/32.10 tff(6790,plain,
% 49.46/32.10 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s4) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | node47(c_p1, s3) | (~node53(c_p1, s3, s4)))),
% 49.46/32.10 inference(quant_inst,[status(thm)],[])).
% 49.46/32.10 tff(6791,plain,
% 49.46/32.10 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | m_processor_v_waiting(c_p1, s4) | node47(c_p1, s3) | (~node53(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned))),
% 49.46/32.10 inference(modus_ponens,[status(thm)],[6790, 6789])).
% 49.46/32.10 tff(6792,plain,
% 49.46/32.10 ((~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | m_processor_v_waiting(c_p1, s4) | node47(c_p1, s3) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned))),
% 49.46/32.10 inference(unit_resolution,[status(thm)],[6791, 640, 6785])).
% 49.46/32.10 tff(6793,plain,
% 49.46/32.10 (node47(c_p1, s3)),
% 49.46/32.10 inference(unit_resolution,[status(thm)],[6792, 6781, 6711, 6710, 6709])).
% 49.46/32.10 tff(6794,plain,
% 49.46/32.10 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | m_processor_v_waiting(c_p1, s4) | (~node53(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | m_processor_v_waiting(c_p1, s4) | (~node53(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)))),
% 49.46/32.10 inference(rewrite,[status(thm)],[])).
% 49.46/32.10 tff(6795,plain,
% 49.46/32.10 ((m_processor_v_waiting(c_p1, s4) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | (~node53(c_p1, s3, s4))) <=> ((~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | m_processor_v_waiting(c_p1, s4) | (~node53(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)))),
% 49.46/32.10 inference(rewrite,[status(thm)],[])).
% 49.46/32.10 tff(6796,plain,
% 49.46/32.10 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s4) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | (~node53(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | m_processor_v_waiting(c_p1, s4) | (~node53(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared))))),
% 49.46/32.10 inference(monotonicity,[status(thm)],[6795])).
% 49.46/32.10 tff(6797,plain,
% 49.46/32.10 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s4) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | (~node53(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | m_processor_v_waiting(c_p1, s4) | (~node53(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)))),
% 49.46/32.10 inference(transitivity,[status(thm)],[6796, 6794])).
% 49.46/32.10 tff(6798,plain,
% 49.46/32.10 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s4) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | (~node53(c_p1, s3, s4)))),
% 49.46/32.10 inference(quant_inst,[status(thm)],[])).
% 49.46/32.10 tff(6799,plain,
% 49.46/32.10 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | m_processor_v_waiting(c_p1, s4) | (~node53(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared))),
% 49.46/32.10 inference(modus_ponens,[status(thm)],[6798, 6797])).
% 49.46/32.10 tff(6800,plain,
% 49.46/32.10 ((~m_processor_v_master(c_p1, s3)) | m_processor_v_abort(c_p1, s3) | m_processor_v_waiting(c_p1, s4) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared))),
% 49.46/32.10 inference(unit_resolution,[status(thm)],[6799, 589, 6785])).
% 49.46/32.10 tff(6801,plain,
% 49.46/32.10 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 49.46/32.10 inference(unit_resolution,[status(thm)],[6800, 6710, 6711, 6709])).
% 49.46/32.10 tff(6802,plain,
% 49.46/32.10 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node47(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node47(c_p1, s3)))),
% 49.46/32.10 inference(rewrite,[status(thm)],[])).
% 49.46/32.10 tff(6803,plain,
% 49.46/32.10 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node47(c_p1, s3)))),
% 49.46/32.10 inference(quant_inst,[status(thm)],[])).
% 49.46/32.10 tff(6804,plain,
% 49.46/32.10 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node47(c_p1, s3))),
% 49.46/32.10 inference(modus_ponens,[status(thm)],[6803, 6802])).
% 49.46/32.10 tff(6805,plain,
% 49.46/32.10 ($false),
% 49.46/32.10 inference(unit_resolution,[status(thm)],[6804, 657, 6801, 6793])).
% 49.46/32.10 tff(6806,plain,(m_processor_v_abort(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_waiting(c_p1, s4) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s4, c_invalid) | node33(c_p1, s3, s4)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.10 tff(6807,plain,
% 49.46/32.10 (m_processor_v_abort(c_p1, s3)),
% 49.46/32.10 inference(unit_resolution,[status(thm)],[6806, 6708, 6604, 6592, 6600, 6596])).
% 49.46/32.10 tff(6808,plain,
% 49.46/32.10 (node32(c_p1, s3, s4)),
% 49.46/32.10 inference(unit_resolution,[status(thm)],[6640, 6807])).
% 49.46/32.10 tff(6809,plain,
% 49.46/32.10 (~m_processor_v_state(c_p1, s3, c_shared)),
% 49.46/32.10 inference(unit_resolution,[status(thm)],[6667, 6808, 6592])).
% 49.46/32.10 tff(6810,assumption,(m_processor_v_state(c_p1, s3, c_invalid)), introduced(assumption)).
% 49.46/32.10 tff(6811,plain,
% 49.46/32.10 ($false),
% 49.46/32.10 inference(unit_resolution,[status(thm)],[6653, 380, 6810, 6713, 6658])).
% 49.46/32.10 tff(6812,plain,((~node32(c_p1, s3, s4)) | (~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_state(c_p1, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.10 tff(6813,plain,
% 49.46/32.10 (~m_processor_v_state(c_p1, s3, c_invalid)),
% 49.46/32.10 inference(unit_resolution,[status(thm)],[6812, 6808, 6600])).
% 49.46/32.10 tff(6814,plain,
% 49.46/32.10 ($false),
% 49.46/32.10 inference(unit_resolution,[status(thm)],[6646, 6813, 6809, 5656])).
% 49.46/32.10 tff(6815,plain,((~node56(c_p1, s4)) | m_processor_v_state(c_p1, s3, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.10 tff(6816,plain,
% 49.46/32.10 (m_processor_v_state(c_p1, s3, c_owned)),
% 49.46/32.10 inference(unit_resolution,[status(thm)],[6815, 6574])).
% 49.46/32.10 tff(6817,plain,
% 49.46/32.10 (~m_processor_v_waiting(c_p1, s4)),
% 49.46/32.10 inference(unit_resolution,[status(thm)],[6603, 540, 6574])).
% 49.46/32.10 tff(6818,plain,
% 49.46/32.10 (m_processor_v_state(c_p1, s4, c_owned)),
% 49.46/32.10 inference(unit_resolution,[status(thm)],[6584, 6574])).
% 49.46/32.10 tff(6819,plain,
% 49.46/32.10 (~m_processor_v_state(c_p1, s4, c_shared)),
% 49.46/32.10 inference(unit_resolution,[status(thm)],[6591, 121, 6818])).
% 49.46/32.10 tff(6820,plain,
% 49.46/32.10 (m_processor_v_writable(c_p0, s4)),
% 49.46/32.10 inference(unit_resolution,[status(thm)],[73, 43, 6555])).
% 49.46/32.10 tff(6821,plain,
% 49.46/32.10 (node56(c_p0, s4)),
% 49.46/32.10 inference(unit_resolution,[status(thm)],[67, 28, 6820])).
% 49.46/32.10 tff(6822,plain,
% 49.46/32.10 (~m_processor_v_state(c_p1, s4, c_shared)),
% 49.46/32.10 inference(unit_resolution,[status(thm)],[6591, 121, 6605])).
% 49.46/32.10 tff(6823,assumption,(~node37(c_p1, s4, s5)), introduced(assumption)).
% 49.46/32.10 tff(6824,assumption,(~node38(c_p1, s4, s5)), introduced(assumption)).
% 49.46/32.10 tff(6825,plain,
% 49.46/32.10 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s4, s5)) | node38(c_p1, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s4, s5)) | node38(c_p1, s4, s5))),
% 49.46/32.10 inference(rewrite,[status(thm)],[])).
% 49.46/32.10 tff(6826,plain,
% 49.46/32.10 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s4, s5)) | node38(c_p1, s4, s5))),
% 49.46/32.10 inference(quant_inst,[status(thm)],[])).
% 49.46/32.10 tff(6827,plain,
% 49.46/32.10 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s4, s5)) | node38(c_p1, s4, s5)),
% 49.46/32.10 inference(modus_ponens,[status(thm)],[6826, 6825])).
% 49.46/32.10 tff(6828,plain,
% 49.46/32.10 ($false),
% 49.46/32.10 inference(unit_resolution,[status(thm)],[6827, 210, 1112, 6824])).
% 49.46/32.10 tff(6829,plain,(node38(c_p1, s4, s5)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.10 tff(6830,plain,
% 49.46/32.10 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s4) | m_processor_v_state(c_p1, s4, c_shared) | node36(c_p1, s4) | m_processor_v_abort(c_p1, s4) | node37(c_p1, s4, s5) | (~node38(c_p1, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s4) | m_processor_v_state(c_p1, s4, c_shared) | node36(c_p1, s4) | m_processor_v_abort(c_p1, s4) | node37(c_p1, s4, s5) | (~node38(c_p1, s4, s5)))),
% 49.46/32.11 inference(rewrite,[status(thm)],[])).
% 49.46/32.11 tff(6831,plain,
% 49.46/32.11 ((m_processor_v_state(c_p1, s4, c_shared) | node36(c_p1, s4) | m_processor_v_master(c_p1, s4) | node37(c_p1, s4, s5) | (~node38(c_p1, s4, s5)) | m_processor_v_abort(c_p1, s4)) <=> (m_processor_v_master(c_p1, s4) | m_processor_v_state(c_p1, s4, c_shared) | node36(c_p1, s4) | m_processor_v_abort(c_p1, s4) | node37(c_p1, s4, s5) | (~node38(c_p1, s4, s5)))),
% 49.46/32.11 inference(rewrite,[status(thm)],[])).
% 49.46/32.11 tff(6832,plain,
% 49.46/32.11 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s4, c_shared) | node36(c_p1, s4) | m_processor_v_master(c_p1, s4) | node37(c_p1, s4, s5) | (~node38(c_p1, s4, s5)) | m_processor_v_abort(c_p1, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s4) | m_processor_v_state(c_p1, s4, c_shared) | node36(c_p1, s4) | m_processor_v_abort(c_p1, s4) | node37(c_p1, s4, s5) | (~node38(c_p1, s4, s5))))),
% 49.46/32.11 inference(monotonicity,[status(thm)],[6831])).
% 49.46/32.11 tff(6833,plain,
% 49.46/32.11 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s4, c_shared) | node36(c_p1, s4) | m_processor_v_master(c_p1, s4) | node37(c_p1, s4, s5) | (~node38(c_p1, s4, s5)) | m_processor_v_abort(c_p1, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s4) | m_processor_v_state(c_p1, s4, c_shared) | node36(c_p1, s4) | m_processor_v_abort(c_p1, s4) | node37(c_p1, s4, s5) | (~node38(c_p1, s4, s5)))),
% 49.46/32.11 inference(transitivity,[status(thm)],[6832, 6830])).
% 49.46/32.11 tff(6834,plain,
% 49.46/32.11 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s4, c_shared) | node36(c_p1, s4) | m_processor_v_master(c_p1, s4) | node37(c_p1, s4, s5) | (~node38(c_p1, s4, s5)) | m_processor_v_abort(c_p1, s4))),
% 49.46/32.11 inference(quant_inst,[status(thm)],[])).
% 49.46/32.11 tff(6835,plain,
% 49.46/32.11 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s4) | m_processor_v_state(c_p1, s4, c_shared) | node36(c_p1, s4) | m_processor_v_abort(c_p1, s4) | node37(c_p1, s4, s5) | (~node38(c_p1, s4, s5))),
% 49.46/32.11 inference(modus_ponens,[status(thm)],[6834, 6833])).
% 49.46/32.11 tff(6836,plain,
% 49.46/32.11 (m_processor_v_master(c_p1, s4) | m_processor_v_state(c_p1, s4, c_shared) | node36(c_p1, s4) | m_processor_v_abort(c_p1, s4) | node37(c_p1, s4, s5)),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[6835, 225, 6829])).
% 49.46/32.11 tff(6837,plain,
% 49.46/32.11 (node36(c_p1, s4)),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[6836, 6657, 1439, 1425, 6823])).
% 49.46/32.11 tff(6838,plain,
% 49.46/32.11 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p1, s4, c_shared) | (~node36(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p1, s4, c_shared) | (~node36(c_p1, s4)))),
% 49.46/32.11 inference(rewrite,[status(thm)],[])).
% 49.46/32.11 tff(6839,plain,
% 49.46/32.11 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p1, s4, c_shared) | (~node36(c_p1, s4)))),
% 49.46/32.11 inference(quant_inst,[status(thm)],[])).
% 49.46/32.11 tff(6840,plain,
% 49.46/32.11 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p1, s4, c_shared) | (~node36(c_p1, s4))),
% 49.46/32.11 inference(modus_ponens,[status(thm)],[6839, 6838])).
% 49.46/32.11 tff(6841,plain,
% 49.46/32.11 ($false),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[6840, 167, 6657, 6837])).
% 49.46/32.11 tff(6842,plain,(m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_master(c_p1, s4) | m_processor_v_abort(c_p1, s4) | node37(c_p1, s4, s5)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.11 tff(6843,plain,
% 49.46/32.11 (node37(c_p1, s4, s5)),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[6842, 6657, 1425, 1439])).
% 49.46/32.11 tff(6844,plain,
% 49.46/32.11 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p1, s4, c_owned) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s4, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p1, s4, c_owned) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s4, c_invalid))),
% 49.46/32.11 inference(rewrite,[status(thm)],[])).
% 49.46/32.11 tff(6845,plain,
% 49.46/32.11 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p1, s4, c_owned) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s4, c_invalid))),
% 49.46/32.11 inference(quant_inst,[status(thm)],[])).
% 49.46/32.11 tff(6846,plain,
% 49.46/32.11 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p1, s4, c_owned) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s4, c_invalid)),
% 49.46/32.11 inference(modus_ponens,[status(thm)],[6845, 6844])).
% 49.46/32.11 tff(6847,plain,
% 49.46/32.11 ($false),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[6846, 153, 6576, 6657, 6713])).
% 49.46/32.11 tff(6848,plain,(m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s4, c_owned) | m_processor_v_state(c_p1, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.11 tff(6849,plain,
% 49.46/32.11 (m_processor_v_state(c_p1, s4, c_owned)),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[6848, 6657, 6713])).
% 49.46/32.11 tff(6850,plain,
% 49.46/32.11 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s4, c_owned)) | m_processor_v_state(c_p1, s5, c_owned) | (~node37(c_p1, s4, s5)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p1, s4, c_owned)) | m_processor_v_state(c_p1, s5, c_owned) | (~node37(c_p1, s4, s5)))),
% 49.46/32.11 inference(rewrite,[status(thm)],[])).
% 49.46/32.11 tff(6851,plain,
% 49.46/32.11 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s4, c_owned)) | m_processor_v_state(c_p1, s5, c_owned) | (~node37(c_p1, s4, s5)))),
% 49.46/32.11 inference(quant_inst,[status(thm)],[])).
% 49.46/32.11 tff(6852,plain,
% 49.46/32.11 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p1, s4, c_owned)) | m_processor_v_state(c_p1, s5, c_owned) | (~node37(c_p1, s4, s5))),
% 49.46/32.11 inference(modus_ponens,[status(thm)],[6851, 6850])).
% 49.46/32.11 tff(6853,plain,
% 49.46/32.11 ($false),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[6852, 2411, 6849, 6843, 53])).
% 49.46/32.11 tff(6854,plain,(m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_abort(c_p1, s4) | m_processor_v_master(c_p1, s4) | m_processor_v_state(c_p1, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.11 tff(6855,plain,
% 49.46/32.11 (m_processor_v_abort(c_p1, s4)),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[6854, 53, 1439, 6822, 6606])).
% 49.46/32.11 tff(6856,plain,
% 49.46/32.11 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s4, s5) | (~node38(c_p1, s4, s5)) | (~m_processor_v_abort(c_p1, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p1, s4, s5) | (~node38(c_p1, s4, s5)) | (~m_processor_v_abort(c_p1, s4)))),
% 49.46/32.11 inference(rewrite,[status(thm)],[])).
% 49.46/32.11 tff(6857,plain,
% 49.46/32.11 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s4, s5) | (~node38(c_p1, s4, s5)) | (~m_processor_v_abort(c_p1, s4)))),
% 49.46/32.11 inference(quant_inst,[status(thm)],[])).
% 49.46/32.11 tff(6858,plain,
% 49.46/32.11 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p1, s4, s5) | (~node38(c_p1, s4, s5)) | (~m_processor_v_abort(c_p1, s4))),
% 49.46/32.11 inference(modus_ponens,[status(thm)],[6857, 6856])).
% 49.46/32.11 tff(6859,plain,
% 49.46/32.11 (node32(c_p1, s4, s5) | (~m_processor_v_abort(c_p1, s4))),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[6858, 243, 6829])).
% 49.46/32.11 tff(6860,plain,
% 49.46/32.11 (node32(c_p1, s4, s5)),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[6859, 6855])).
% 49.46/32.11 tff(6861,plain,
% 49.46/32.11 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s4, s5)) | (~m_processor_v_state(c_p1, s4, c_owned)) | m_processor_v_state(c_p1, s5, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~node32(c_p1, s4, s5)) | (~m_processor_v_state(c_p1, s4, c_owned)) | m_processor_v_state(c_p1, s5, c_owned))),
% 49.46/32.11 inference(rewrite,[status(thm)],[])).
% 49.46/32.11 tff(6862,plain,
% 49.46/32.11 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s4, s5)) | (~m_processor_v_state(c_p1, s4, c_owned)) | m_processor_v_state(c_p1, s5, c_owned))),
% 49.46/32.11 inference(quant_inst,[status(thm)],[])).
% 49.46/32.11 tff(6863,plain,
% 49.46/32.11 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~node32(c_p1, s4, s5)) | (~m_processor_v_state(c_p1, s4, c_owned)) | m_processor_v_state(c_p1, s5, c_owned)),
% 49.46/32.11 inference(modus_ponens,[status(thm)],[6862, 6861])).
% 49.46/32.11 tff(6864,plain,
% 49.46/32.11 ($false),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[6863, 380, 6605, 6860, 53])).
% 49.46/32.11 tff(6865,plain,(m_processor_v_state(c_p1, s5, c_owned) | (~m_processor_v_state(c_p1, s4, c_owned)) | m_processor_v_master(c_p1, s4)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.11 tff(6866,plain,
% 49.46/32.11 (m_processor_v_master(c_p1, s4)),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[6865, 6818, 53])).
% 49.46/32.11 tff(6867,plain,
% 49.46/32.11 (((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p1, s4)) | (~node17(s4)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | (~m_processor_v_master(c_p1, s4)) | (~node17(s4)))),
% 49.46/32.11 inference(rewrite,[status(thm)],[])).
% 49.46/32.11 tff(6868,plain,
% 49.46/32.11 ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p1, s4)) | (~node17(s4)))),
% 49.46/32.11 inference(quant_inst,[status(thm)],[])).
% 49.46/32.11 tff(6869,plain,
% 49.46/32.11 ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | (~m_processor_v_master(c_p1, s4)) | (~node17(s4))),
% 49.46/32.11 inference(modus_ponens,[status(thm)],[6868, 6867])).
% 49.46/32.11 tff(6870,plain,
% 49.46/32.11 ($false),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[6869, 3344, 1432, 1267])).
% 49.46/32.11 tff(6871,plain,((~m_processor_v_master(c_p1, s4)) | (~node17(s4))), inference(lemma,lemma(discharge,[]))).
% 49.46/32.11 tff(6872,plain,
% 49.46/32.11 (~node17(s4)),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[6871, 6866])).
% 49.46/32.11 tff(6873,plain,
% 49.46/32.11 (~m_memory_v_master(c_m, s4)),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[1295, 6872])).
% 49.46/32.11 tff(6874,plain,
% 49.46/32.11 (m_processor_v_writable(c_p0, s4)),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[73, 43, 6557])).
% 49.46/32.11 tff(6875,plain,
% 49.46/32.11 (m_processor_v_writable(c_p1, s4)),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[6565, 6557])).
% 49.46/32.11 tff(6876,plain,
% 49.46/32.11 (node56(c_p1, s4)),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[6573, 6875])).
% 49.46/32.11 tff(6877,plain,
% 49.46/32.11 (m_processor_v_state(c_p1, s4, c_owned)),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[6584, 6876])).
% 49.46/32.11 tff(6878,plain,
% 49.46/32.11 (m_processor_v_master(c_p1, s4)),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[6865, 6877, 53])).
% 49.46/32.11 tff(6879,plain,
% 49.46/32.11 (~m_processor_v_master(c_p0, s4)),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[1435, 794, 6878])).
% 49.46/32.11 tff(6880,plain,
% 49.46/32.11 (~m_processor_v_state(c_p0, s4, c_invalid)),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[1757, 1752])).
% 49.46/32.11 tff(6881,plain,
% 49.46/32.11 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_state(c_p0, s4, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_state(c_p0, s4, c_shared)))),
% 49.46/32.11 inference(rewrite,[status(thm)],[])).
% 49.46/32.11 tff(6882,plain,
% 49.46/32.11 (((~m_processor_v_state(c_p0, s4, c_shared)) | (~m_processor_v_state(c_p0, s4, c_owned))) <=> ((~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_state(c_p0, s4, c_shared)))),
% 49.46/32.11 inference(rewrite,[status(thm)],[])).
% 49.46/32.11 tff(6883,plain,
% 49.46/32.11 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s4, c_shared)) | (~m_processor_v_state(c_p0, s4, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_state(c_p0, s4, c_shared))))),
% 49.46/32.11 inference(monotonicity,[status(thm)],[6882])).
% 49.46/32.11 tff(6884,plain,
% 49.46/32.11 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s4, c_shared)) | (~m_processor_v_state(c_p0, s4, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_state(c_p0, s4, c_shared)))),
% 49.46/32.11 inference(transitivity,[status(thm)],[6883, 6881])).
% 49.46/32.11 tff(6885,plain,
% 49.46/32.11 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s4, c_shared)) | (~m_processor_v_state(c_p0, s4, c_owned)))),
% 49.46/32.11 inference(quant_inst,[status(thm)],[])).
% 49.46/32.11 tff(6886,plain,
% 49.46/32.11 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_state(c_p0, s4, c_shared))),
% 49.46/32.11 inference(modus_ponens,[status(thm)],[6885, 6884])).
% 49.46/32.11 tff(6887,plain,
% 49.46/32.11 ($false),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[6886, 121, 1075, 1752])).
% 49.46/32.11 tff(6888,plain,((~m_processor_v_state(c_p0, s4, c_shared)) | (~m_processor_v_state(c_p0, s4, c_owned))), inference(lemma,lemma(discharge,[]))).
% 49.46/32.11 tff(6889,plain,
% 49.46/32.11 (~m_processor_v_state(c_p0, s4, c_shared)),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[6888, 1752])).
% 49.46/32.11 tff(6890,plain,
% 49.46/32.11 (m_processor_v_state(c_p0, s4, c_owned)),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[1101, 1095, 1096])).
% 49.46/32.11 tff(6891,plain,
% 49.46/32.11 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_state(c_p0, s5, c_owned) | (~node37(c_p0, s4, s5)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_state(c_p0, s5, c_owned) | (~node37(c_p0, s4, s5)))),
% 49.46/32.11 inference(rewrite,[status(thm)],[])).
% 49.46/32.11 tff(6892,plain,
% 49.46/32.11 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_state(c_p0, s5, c_owned) | (~node37(c_p0, s4, s5)))),
% 49.46/32.11 inference(quant_inst,[status(thm)],[])).
% 49.46/32.11 tff(6893,plain,
% 49.46/32.11 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_state(c_p0, s5, c_owned) | (~node37(c_p0, s4, s5))),
% 49.46/32.11 inference(modus_ponens,[status(thm)],[6892, 6891])).
% 49.46/32.11 tff(6894,plain,
% 49.46/32.11 (~node37(c_p0, s4, s5)),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[6893, 2411, 6890, 799])).
% 49.46/32.11 tff(6895,plain,
% 49.46/32.11 (m_processor_v_abort(c_p0, s4)),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[1141, 6894, 1096, 1126, 1130])).
% 49.46/32.11 tff(6896,plain,
% 49.46/32.11 (node32(c_p0, s4, s5)),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[1124, 6895])).
% 49.46/32.11 tff(6897,plain,
% 49.46/32.11 (m_processor_v_state(c_p0, s5, c_shared)),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[955, 814, 799])).
% 49.46/32.11 tff(6898,assumption,(node37(c_p0, s4, s5)), introduced(assumption)).
% 49.46/32.11 tff(6899,plain,
% 49.46/32.11 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s4, c_shared) | (~m_processor_v_state(c_p0, s5, c_shared)) | (~node37(c_p0, s4, s5)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s4, c_shared) | (~m_processor_v_state(c_p0, s5, c_shared)) | (~node37(c_p0, s4, s5)))),
% 49.46/32.11 inference(rewrite,[status(thm)],[])).
% 49.46/32.11 tff(6900,plain,
% 49.46/32.11 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s4, c_shared) | (~m_processor_v_state(c_p0, s5, c_shared)) | (~node37(c_p0, s4, s5)))),
% 49.46/32.11 inference(quant_inst,[status(thm)],[])).
% 49.46/32.11 tff(6901,plain,
% 49.46/32.11 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s4, c_shared) | (~m_processor_v_state(c_p0, s5, c_shared)) | (~node37(c_p0, s4, s5))),
% 49.46/32.11 inference(modus_ponens,[status(thm)],[6900, 6899])).
% 49.46/32.11 tff(6902,plain,
% 49.46/32.11 ($false),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[6901, 182, 1096, 6898, 1050])).
% 49.46/32.11 tff(6903,plain,((~m_processor_v_state(c_p0, s5, c_shared)) | m_processor_v_state(c_p0, s4, c_shared) | (~node37(c_p0, s4, s5))), inference(lemma,lemma(discharge,[]))).
% 49.46/32.11 tff(6904,plain,
% 49.46/32.11 (~node37(c_p0, s4, s5)),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[6903, 6897, 1096])).
% 49.46/32.11 tff(6905,plain,
% 49.46/32.11 (m_processor_v_abort(c_p0, s4)),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[1141, 6904, 1096, 1126, 1130])).
% 49.46/32.11 tff(6906,plain,
% 49.46/32.11 (node32(c_p0, s4, s5)),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[1124, 6905])).
% 49.46/32.11 tff(6907,plain,
% 49.46/32.11 (~m_processor_v_state(c_p0, s4, c_invalid)),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[1093, 6906, 814])).
% 49.46/32.11 tff(6908,plain,
% 49.46/32.11 (m_processor_v_state(c_p0, s4, c_owned)),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[1101, 6907, 1096])).
% 49.46/32.11 tff(6909,plain,
% 49.46/32.11 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_state(c_p0, s5, c_owned) | (~node32(c_p0, s4, s5)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_state(c_p0, s5, c_owned) | (~node32(c_p0, s4, s5)))),
% 49.46/32.11 inference(rewrite,[status(thm)],[])).
% 49.46/32.11 tff(6910,plain,
% 49.46/32.11 (((~node32(c_p0, s4, s5)) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_state(c_p0, s5, c_owned)) <=> ((~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_state(c_p0, s5, c_owned) | (~node32(c_p0, s4, s5)))),
% 49.46/32.11 inference(rewrite,[status(thm)],[])).
% 49.46/32.11 tff(6911,plain,
% 49.46/32.11 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s4, s5)) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_state(c_p0, s5, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_state(c_p0, s5, c_owned) | (~node32(c_p0, s4, s5))))),
% 49.46/32.11 inference(monotonicity,[status(thm)],[6910])).
% 49.46/32.11 tff(6912,plain,
% 49.46/32.11 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s4, s5)) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_state(c_p0, s5, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_state(c_p0, s5, c_owned) | (~node32(c_p0, s4, s5)))),
% 49.46/32.11 inference(transitivity,[status(thm)],[6911, 6909])).
% 49.46/32.11 tff(6913,plain,
% 49.46/32.11 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s4, s5)) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_state(c_p0, s5, c_owned))),
% 49.46/32.11 inference(quant_inst,[status(thm)],[])).
% 49.46/32.11 tff(6914,plain,
% 49.46/32.11 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_state(c_p0, s5, c_owned) | (~node32(c_p0, s4, s5))),
% 49.46/32.11 inference(modus_ponens,[status(thm)],[6913, 6912])).
% 49.46/32.11 tff(6915,plain,
% 49.46/32.11 ($false),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[6914, 380, 6908, 6906, 799])).
% 49.46/32.11 tff(6916,plain,(m_processor_v_state(c_p0, s5, c_invalid) | m_processor_v_state(c_p0, s5, c_owned) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_master(c_p0, s4)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.11 tff(6917,plain,
% 49.46/32.11 (m_processor_v_state(c_p0, s5, c_invalid)),
% 49.46/32.11 inference(unit_resolution,[status(thm)],[6916, 1096, 799, 1126])).
% 49.46/32.11 tff(6918,plain,
% 49.46/32.11 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p0, s4, c_invalid) | (~m_processor_v_state(c_p0, s5, c_invalid)) | (~node32(c_p0, s4, s5)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p0, s4, c_invalid) | (~m_processor_v_state(c_p0, s5, c_invalid)) | (~node32(c_p0, s4, s5)))),
% 49.46/32.11 inference(rewrite,[status(thm)],[])).
% 49.46/32.11 tff(6919,plain,
% 49.46/32.11 (((~node32(c_p0, s4, s5)) | m_processor_v_state(c_p0, s4, c_invalid) | (~m_processor_v_state(c_p0, s5, c_invalid))) <=> (m_processor_v_state(c_p0, s4, c_invalid) | (~m_processor_v_state(c_p0, s5, c_invalid)) | (~node32(c_p0, s4, s5)))),
% 49.46/32.11 inference(rewrite,[status(thm)],[])).
% 49.46/32.11 tff(6920,plain,
% 49.46/32.11 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p0, s4, s5)) | m_processor_v_state(c_p0, s4, c_invalid) | (~m_processor_v_state(c_p0, s5, c_invalid)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p0, s4, c_invalid) | (~m_processor_v_state(c_p0, s5, c_invalid)) | (~node32(c_p0, s4, s5))))),
% 49.46/32.11 inference(monotonicity,[status(thm)],[6919])).
% 49.46/32.11 tff(6921,plain,
% 49.46/32.11 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p0, s4, s5)) | m_processor_v_state(c_p0, s4, c_invalid) | (~m_processor_v_state(c_p0, s5, c_invalid)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p0, s4, c_invalid) | (~m_processor_v_state(c_p0, s5, c_invalid)) | (~node32(c_p0, s4, s5)))),
% 49.46/32.11 inference(transitivity,[status(thm)],[6920, 6918])).
% 49.46/32.11 tff(6922,plain,
% 49.46/32.11 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p0, s4, s5)) | m_processor_v_state(c_p0, s4, c_invalid) | (~m_processor_v_state(c_p0, s5, c_invalid)))),
% 49.46/32.12 inference(quant_inst,[status(thm)],[])).
% 49.46/32.12 tff(6923,plain,
% 49.46/32.12 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p0, s4, c_invalid) | (~m_processor_v_state(c_p0, s5, c_invalid)) | (~node32(c_p0, s4, s5))),
% 49.46/32.12 inference(modus_ponens,[status(thm)],[6922, 6921])).
% 49.46/32.12 tff(6924,plain,
% 49.46/32.12 ($false),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[6923, 261, 1095, 6917, 6896])).
% 49.46/32.12 tff(6925,plain,(m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_master(c_p0, s4) | m_processor_v_state(c_p0, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.12 tff(6926,plain,
% 49.46/32.12 ($false),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[6925, 6889, 6880, 799, 1126])).
% 49.46/32.12 tff(6927,plain,((~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_state(c_p0, s5, c_owned) | m_processor_v_master(c_p0, s4)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.12 tff(6928,plain,
% 49.46/32.12 (~m_processor_v_state(c_p0, s4, c_owned)),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[6927, 6879, 799])).
% 49.46/32.12 tff(6929,plain,
% 49.46/32.12 (~node56(c_p0, s4)),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[61, 6928])).
% 49.46/32.12 tff(6930,plain,
% 49.46/32.12 ($false),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[67, 28, 6929, 6874])).
% 49.46/32.12 tff(6931,plain,((~node67(s4)) | m_processor_v_state(c_p0, s5, c_owned) | m_processor_v_state(c_p1, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.12 tff(6932,plain,
% 49.46/32.12 (m_processor_v_state(c_p0, s5, c_owned)),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[6931, 6555, 53])).
% 49.46/32.12 tff(6933,assumption,(node30(c_m, s5)), introduced(assumption)).
% 49.46/32.12 tff(6934,assumption,(m_memory_v_CMD(c_m, s5, c_write_h_resp_h_shared)), introduced(assumption)).
% 49.46/32.12 tff(6935,plain,
% 49.46/32.12 (^[I0: $i, X: $i] : refl(((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_shared))) <=> ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_shared))))),
% 49.46/32.12 inference(bind,[status(th)],[])).
% 49.46/32.12 tff(6936,plain,
% 49.46/32.12 (![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_shared))) <=> ![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_shared)))),
% 49.46/32.12 inference(quant_intro,[status(thm)],[6935])).
% 49.46/32.12 tff(6937,plain,
% 49.46/32.12 (![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_shared))) <=> ![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_shared)))),
% 49.46/32.12 inference(rewrite,[status(thm)],[])).
% 49.46/32.12 tff(6938,plain,
% 49.46/32.12 (^[I0: $i, X: $i] : rewrite(((~m_memory_v_CMD(I0, X, c_write_h_resp_h_shared)) | (~node30(I0, X))) <=> ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_shared))))),
% 49.46/32.12 inference(bind,[status(th)],[])).
% 49.46/32.12 tff(6939,plain,
% 49.46/32.12 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_write_h_resp_h_shared)) | (~node30(I0, X))) <=> ![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_shared)))),
% 49.46/32.12 inference(quant_intro,[status(thm)],[6938])).
% 49.46/32.12 tff(6940,axiom,(![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_write_h_resp_h_shared)) | (~node30(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_78')).
% 49.46/32.12 tff(6941,plain,
% 49.46/32.12 (![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_shared)))),
% 49.46/32.12 inference(modus_ponens,[status(thm)],[6940, 6939])).
% 49.46/32.12 tff(6942,plain,
% 49.46/32.12 (![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_shared)))),
% 49.46/32.12 inference(modus_ponens,[status(thm)],[6941, 6937])).
% 49.46/32.12 tff(6943,plain,(
% 49.46/32.12 ![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_shared)))),
% 49.46/32.12 inference(skolemize,[status(sab)],[6942])).
% 49.46/32.12 tff(6944,plain,
% 49.46/32.12 (![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_shared)))),
% 49.46/32.12 inference(modus_ponens,[status(thm)],[6943, 6936])).
% 49.46/32.12 tff(6945,plain,
% 49.46/32.12 (((~![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node30(c_m, s5)) | (~m_memory_v_CMD(c_m, s5, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (~node30(c_m, s5)) | (~m_memory_v_CMD(c_m, s5, c_write_h_resp_h_shared)))),
% 49.46/32.12 inference(rewrite,[status(thm)],[])).
% 49.46/32.12 tff(6946,plain,
% 49.46/32.12 ((~![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node30(c_m, s5)) | (~m_memory_v_CMD(c_m, s5, c_write_h_resp_h_shared)))),
% 49.46/32.12 inference(quant_inst,[status(thm)],[])).
% 49.46/32.12 tff(6947,plain,
% 49.46/32.12 ((~![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (~node30(c_m, s5)) | (~m_memory_v_CMD(c_m, s5, c_write_h_resp_h_shared))),
% 49.46/32.12 inference(modus_ponens,[status(thm)],[6946, 6945])).
% 49.46/32.12 tff(6948,plain,
% 49.46/32.12 ($false),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[6947, 6944, 6934, 6933])).
% 49.46/32.12 tff(6949,plain,((~node30(c_m, s5)) | (~m_memory_v_CMD(c_m, s5, c_write_h_resp_h_shared))), inference(lemma,lemma(discharge,[]))).
% 49.46/32.12 tff(6950,plain,
% 49.46/32.12 (~m_memory_v_CMD(c_m, s5, c_write_h_resp_h_shared)),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[6949, 6933])).
% 49.46/32.12 tff(6951,assumption,(~node1(s5)), introduced(assumption)).
% 49.46/32.12 tff(6952,plain,
% 49.46/32.12 ((~![X: $i] : node1(X)) | node1(s5)),
% 49.46/32.12 inference(quant_inst,[status(thm)],[])).
% 49.46/32.12 tff(6953,plain,
% 49.46/32.12 ($false),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[6952, 4194, 6951])).
% 49.46/32.12 tff(6954,plain,(node1(s5)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.12 tff(6955,plain,
% 49.46/32.12 (^[I0: $i, X: $i] : refl(((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_invalid))) <=> ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_invalid))))),
% 49.46/32.12 inference(bind,[status(th)],[])).
% 49.46/32.12 tff(6956,plain,
% 49.46/32.12 (![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_invalid))) <=> ![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_invalid)))),
% 49.46/32.12 inference(quant_intro,[status(thm)],[6955])).
% 49.46/32.12 tff(6957,plain,
% 49.46/32.12 (![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_invalid))) <=> ![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_invalid)))),
% 49.46/32.12 inference(rewrite,[status(thm)],[])).
% 49.46/32.12 tff(6958,plain,
% 49.46/32.12 (^[I0: $i, X: $i] : rewrite(((~m_memory_v_CMD(I0, X, c_write_h_invalid)) | (~node30(I0, X))) <=> ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_invalid))))),
% 49.46/32.12 inference(bind,[status(th)],[])).
% 49.46/32.12 tff(6959,plain,
% 49.46/32.12 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_write_h_invalid)) | (~node30(I0, X))) <=> ![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_invalid)))),
% 49.46/32.12 inference(quant_intro,[status(thm)],[6958])).
% 49.46/32.12 tff(6960,axiom,(![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_write_h_invalid)) | (~node30(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_75')).
% 49.46/32.12 tff(6961,plain,
% 49.46/32.12 (![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_invalid)))),
% 49.46/32.12 inference(modus_ponens,[status(thm)],[6960, 6959])).
% 49.46/32.12 tff(6962,plain,
% 49.46/32.12 (![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_invalid)))),
% 49.46/32.12 inference(modus_ponens,[status(thm)],[6961, 6957])).
% 49.46/32.12 tff(6963,plain,(
% 49.46/32.12 ![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_invalid)))),
% 49.46/32.12 inference(skolemize,[status(sab)],[6962])).
% 49.46/32.12 tff(6964,plain,
% 49.46/32.12 (![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_invalid)))),
% 49.46/32.12 inference(modus_ponens,[status(thm)],[6963, 6956])).
% 49.46/32.12 tff(6965,plain,
% 49.46/32.12 (((~![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_invalid)))) | ((~node30(c_m, s5)) | (~m_memory_v_CMD(c_m, s5, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_invalid)))) | (~node30(c_m, s5)) | (~m_memory_v_CMD(c_m, s5, c_write_h_invalid)))),
% 49.46/32.12 inference(rewrite,[status(thm)],[])).
% 49.46/32.12 tff(6966,plain,
% 49.46/32.12 ((~![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_invalid)))) | ((~node30(c_m, s5)) | (~m_memory_v_CMD(c_m, s5, c_write_h_invalid)))),
% 49.46/32.12 inference(quant_inst,[status(thm)],[])).
% 49.46/32.12 tff(6967,plain,
% 49.46/32.12 ((~![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_invalid)))) | (~node30(c_m, s5)) | (~m_memory_v_CMD(c_m, s5, c_write_h_invalid))),
% 49.46/32.12 inference(modus_ponens,[status(thm)],[6966, 6965])).
% 49.46/32.12 tff(6968,plain,
% 49.46/32.12 (~m_memory_v_CMD(c_m, s5, c_write_h_invalid)),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[6967, 6964, 6933])).
% 49.46/32.12 tff(6969,plain,
% 49.46/32.12 (((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s5)) | (~m_main_v_CMD(s5, c_write_h_invalid)) | m_memory_v_CMD(c_m, s5, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s5)) | (~m_main_v_CMD(s5, c_write_h_invalid)) | m_memory_v_CMD(c_m, s5, c_write_h_invalid))),
% 49.46/32.12 inference(rewrite,[status(thm)],[])).
% 49.46/32.12 tff(6970,plain,
% 49.46/32.12 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s5)) | (~m_main_v_CMD(s5, c_write_h_invalid)) | m_memory_v_CMD(c_m, s5, c_write_h_invalid))),
% 49.46/32.12 inference(quant_inst,[status(thm)],[])).
% 49.46/32.12 tff(6971,plain,
% 49.46/32.12 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s5)) | (~m_main_v_CMD(s5, c_write_h_invalid)) | m_memory_v_CMD(c_m, s5, c_write_h_invalid)),
% 49.46/32.12 inference(modus_ponens,[status(thm)],[6970, 6969])).
% 49.46/32.12 tff(6972,plain,
% 49.46/32.12 (~m_main_v_CMD(s5, c_write_h_invalid)),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[6971, 4207, 6954, 6968])).
% 49.46/32.12 tff(6973,plain,
% 49.46/32.12 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_state(c_p0, s6, c_owned) | (~node32(c_p0, s5, s6)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_state(c_p0, s6, c_owned) | (~node32(c_p0, s5, s6)))),
% 49.46/32.12 inference(rewrite,[status(thm)],[])).
% 49.46/32.12 tff(6974,plain,
% 49.46/32.12 (((~node32(c_p0, s5, s6)) | (~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_state(c_p0, s6, c_owned)) <=> ((~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_state(c_p0, s6, c_owned) | (~node32(c_p0, s5, s6)))),
% 49.46/32.12 inference(rewrite,[status(thm)],[])).
% 49.46/32.12 tff(6975,plain,
% 49.46/32.12 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s5, s6)) | (~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_state(c_p0, s6, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_state(c_p0, s6, c_owned) | (~node32(c_p0, s5, s6))))),
% 49.46/32.12 inference(monotonicity,[status(thm)],[6974])).
% 49.46/32.12 tff(6976,plain,
% 49.46/32.12 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s5, s6)) | (~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_state(c_p0, s6, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_state(c_p0, s6, c_owned) | (~node32(c_p0, s5, s6)))),
% 49.46/32.12 inference(transitivity,[status(thm)],[6975, 6973])).
% 49.46/32.12 tff(6977,plain,
% 49.46/32.12 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s5, s6)) | (~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_state(c_p0, s6, c_owned))),
% 49.46/32.12 inference(quant_inst,[status(thm)],[])).
% 49.46/32.12 tff(6978,plain,
% 49.46/32.12 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_state(c_p0, s6, c_owned) | (~node32(c_p0, s5, s6))),
% 49.46/32.12 inference(modus_ponens,[status(thm)],[6977, 6976])).
% 49.46/32.12 tff(6979,plain,
% 49.46/32.12 ($false),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[6978, 380, 5, 1060, 986])).
% 49.46/32.12 tff(6980,plain,((~node32(c_p0, s5, s6)) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_state(c_p0, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 49.46/32.12 tff(6981,plain,
% 49.46/32.12 (~node32(c_p0, s5, s6)),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[6980, 1060, 5])).
% 49.46/32.12 tff(6982,plain,
% 49.46/32.12 (~m_processor_v_abort(c_p0, s5)),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[951, 6981])).
% 49.46/32.12 tff(6983,plain,
% 49.46/32.12 (~node36(c_p0, s5)),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[984, 167, 953])).
% 49.46/32.12 tff(6984,plain,
% 49.46/32.12 (node37(c_p0, s5, s6)),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[1003, 6983, 835, 800, 953])).
% 49.46/32.12 tff(6985,plain,
% 49.46/32.12 ($false),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[1015, 182, 953, 1005, 801])).
% 49.46/32.12 tff(6986,plain,((~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_state(c_p0, s5, c_shared) | (~node37(c_p0, s5, s6))), inference(lemma,lemma(discharge,[]))).
% 49.46/32.12 tff(6987,plain,
% 49.46/32.12 (~m_processor_v_state(c_p0, s6, c_shared)),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[6986, 953, 6984])).
% 49.46/32.12 tff(6988,plain,
% 49.46/32.12 (m_processor_v_state(c_p0, s6, c_invalid)),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[819, 6987, 5])).
% 49.46/32.12 tff(6989,plain,
% 49.46/32.12 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s5, c_invalid) | (~m_processor_v_state(c_p0, s6, c_invalid)) | (~node37(c_p0, s5, s6)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s5, c_invalid) | (~m_processor_v_state(c_p0, s6, c_invalid)) | (~node37(c_p0, s5, s6)))),
% 49.46/32.12 inference(rewrite,[status(thm)],[])).
% 49.46/32.12 tff(6990,plain,
% 49.46/32.12 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s5, c_invalid) | (~m_processor_v_state(c_p0, s6, c_invalid)) | (~node37(c_p0, s5, s6)))),
% 49.46/32.12 inference(quant_inst,[status(thm)],[])).
% 49.46/32.12 tff(6991,plain,
% 49.46/32.12 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s5, c_invalid) | (~m_processor_v_state(c_p0, s6, c_invalid)) | (~node37(c_p0, s5, s6))),
% 49.46/32.12 inference(modus_ponens,[status(thm)],[6990, 6989])).
% 49.46/32.12 tff(6992,plain,
% 49.46/32.12 ($false),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[6991, 182, 814, 6984, 6988])).
% 49.46/32.12 tff(6993,plain,(m_processor_v_state(c_p0, s5, c_shared) | m_processor_v_state(c_p0, s5, c_invalid) | m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_abort(c_p0, s5) | m_processor_v_master(c_p0, s5)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.12 tff(6994,plain,
% 49.46/32.12 (m_processor_v_state(c_p0, s5, c_invalid)),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[6993, 6982, 5, 800, 1069])).
% 49.46/32.12 tff(6995,plain,
% 49.46/32.12 ($false),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[1072, 137, 6994, 1060])).
% 49.46/32.12 tff(6996,plain,((~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_master(c_p0, s5)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.12 tff(6997,plain,
% 49.46/32.12 (m_processor_v_master(c_p0, s5)),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[6996, 1060, 5])).
% 49.46/32.12 tff(6998,plain,
% 49.46/32.12 (~m_processor_v_master(c_p1, s5)),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[797, 794, 6997])).
% 49.46/32.12 tff(6999,plain,
% 49.46/32.12 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p1, s5) | (~node66(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p1, s5) | (~node66(c_p1, s5)))),
% 49.46/32.12 inference(rewrite,[status(thm)],[])).
% 49.46/32.12 tff(7000,plain,
% 49.46/32.12 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p1, s5) | (~node66(c_p1, s5)))),
% 49.46/32.12 inference(quant_inst,[status(thm)],[])).
% 49.46/32.12 tff(7001,plain,
% 49.46/32.12 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p1, s5) | (~node66(c_p1, s5))),
% 49.46/32.12 inference(modus_ponens,[status(thm)],[7000, 6999])).
% 49.46/32.12 tff(7002,plain,
% 49.46/32.12 (~node66(c_p1, s5)),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[7001, 1446, 142])).
% 49.46/32.12 tff(7003,plain,
% 49.46/32.12 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p1, s5) | (~node63(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p1, s5) | (~node63(c_p1, s5)))),
% 49.46/32.12 inference(rewrite,[status(thm)],[])).
% 49.46/32.12 tff(7004,plain,
% 49.46/32.12 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p1, s5) | (~node63(c_p1, s5)))),
% 49.46/32.12 inference(quant_inst,[status(thm)],[])).
% 49.46/32.12 tff(7005,plain,
% 49.46/32.12 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p1, s5) | (~node63(c_p1, s5))),
% 49.46/32.12 inference(modus_ponens,[status(thm)],[7004, 7003])).
% 49.46/32.12 tff(7006,plain,
% 49.46/32.12 (~node63(c_p1, s5)),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[7005, 1469, 142])).
% 49.46/32.12 tff(7007,plain,
% 49.46/32.12 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p1, s5) | (~node65(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p1, s5) | (~node65(c_p1, s5)))),
% 49.46/32.12 inference(rewrite,[status(thm)],[])).
% 49.46/32.12 tff(7008,plain,
% 49.46/32.12 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p1, s5) | (~node65(c_p1, s5)))),
% 49.46/32.12 inference(quant_inst,[status(thm)],[])).
% 49.46/32.12 tff(7009,plain,
% 49.46/32.12 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p1, s5) | (~node65(c_p1, s5))),
% 49.46/32.12 inference(modus_ponens,[status(thm)],[7008, 7007])).
% 49.46/32.12 tff(7010,plain,
% 49.46/32.12 (~node65(c_p1, s5)),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[7009, 1457, 142])).
% 49.46/32.12 tff(7011,plain,
% 49.46/32.12 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p1, s5) | (~node64(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p1, s5) | (~node64(c_p1, s5)))),
% 49.46/32.12 inference(rewrite,[status(thm)],[])).
% 49.46/32.12 tff(7012,plain,
% 49.46/32.12 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p1, s5) | (~node64(c_p1, s5)))),
% 49.46/32.12 inference(quant_inst,[status(thm)],[])).
% 49.46/32.12 tff(7013,plain,
% 49.46/32.12 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p1, s5) | (~node64(c_p1, s5))),
% 49.46/32.12 inference(modus_ponens,[status(thm)],[7012, 7011])).
% 49.46/32.12 tff(7014,plain,
% 49.46/32.12 (~node64(c_p1, s5)),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[7013, 1482, 142])).
% 49.46/32.12 tff(7015,plain,
% 49.46/32.12 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p1, s5) | (~node62(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p1, s5) | (~node62(c_p1, s5)))),
% 49.46/32.12 inference(rewrite,[status(thm)],[])).
% 49.46/32.12 tff(7016,plain,
% 49.46/32.12 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p1, s5) | (~node62(c_p1, s5)))),
% 49.46/32.12 inference(quant_inst,[status(thm)],[])).
% 49.46/32.12 tff(7017,plain,
% 49.46/32.12 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p1, s5) | (~node62(c_p1, s5))),
% 49.46/32.12 inference(modus_ponens,[status(thm)],[7016, 7015])).
% 49.46/32.12 tff(7018,plain,
% 49.46/32.12 (~node62(c_p1, s5)),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[7017, 1493, 142])).
% 49.46/32.12 tff(7019,assumption,(~m_processor_v_cmd(c_p1, s5, c_idle)), introduced(assumption)).
% 49.46/32.12 tff(7020,plain,
% 49.46/32.12 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node62(c_p1, s5) | node64(c_p1, s5) | node65(c_p1, s5) | node63(c_p1, s5) | node66(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_idle))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p1, s5) | node64(c_p1, s5) | node65(c_p1, s5) | node63(c_p1, s5) | node66(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_idle))),
% 49.46/32.12 inference(rewrite,[status(thm)],[])).
% 49.46/32.12 tff(7021,plain,
% 49.46/32.12 ((m_processor_v_cmd(c_p1, s5, c_idle) | node62(c_p1, s5) | node63(c_p1, s5) | node64(c_p1, s5) | node65(c_p1, s5) | node66(c_p1, s5)) <=> (node62(c_p1, s5) | node64(c_p1, s5) | node65(c_p1, s5) | node63(c_p1, s5) | node66(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_idle))),
% 49.46/32.12 inference(rewrite,[status(thm)],[])).
% 49.46/32.12 tff(7022,plain,
% 49.46/32.12 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s5, c_idle) | node62(c_p1, s5) | node63(c_p1, s5) | node64(c_p1, s5) | node65(c_p1, s5) | node66(c_p1, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node62(c_p1, s5) | node64(c_p1, s5) | node65(c_p1, s5) | node63(c_p1, s5) | node66(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_idle)))),
% 49.46/32.12 inference(monotonicity,[status(thm)],[7021])).
% 49.46/32.12 tff(7023,plain,
% 49.46/32.12 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s5, c_idle) | node62(c_p1, s5) | node63(c_p1, s5) | node64(c_p1, s5) | node65(c_p1, s5) | node66(c_p1, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p1, s5) | node64(c_p1, s5) | node65(c_p1, s5) | node63(c_p1, s5) | node66(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_idle))),
% 49.46/32.12 inference(transitivity,[status(thm)],[7022, 7020])).
% 49.46/32.12 tff(7024,plain,
% 49.46/32.12 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s5, c_idle) | node62(c_p1, s5) | node63(c_p1, s5) | node64(c_p1, s5) | node65(c_p1, s5) | node66(c_p1, s5))),
% 49.46/32.12 inference(quant_inst,[status(thm)],[])).
% 49.46/32.12 tff(7025,plain,
% 49.46/32.12 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p1, s5) | node64(c_p1, s5) | node65(c_p1, s5) | node63(c_p1, s5) | node66(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_idle)),
% 49.46/32.12 inference(modus_ponens,[status(thm)],[7024, 7023])).
% 49.46/32.12 tff(7026,plain,
% 49.46/32.12 (node62(c_p1, s5) | node64(c_p1, s5) | node65(c_p1, s5) | node63(c_p1, s5) | node66(c_p1, s5)),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[7025, 1508, 7019])).
% 49.46/32.12 tff(7027,plain,
% 49.46/32.12 ($false),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[7026, 7018, 7014, 7010, 7006, 7002])).
% 49.46/32.12 tff(7028,plain,(m_processor_v_master(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.12 tff(7029,plain,
% 49.46/32.12 (m_processor_v_cmd(c_p1, s5, c_idle)),
% 49.46/32.12 inference(unit_resolution,[status(thm)],[7028, 6998])).
% 49.46/32.12 tff(7030,plain,
% 49.46/32.12 (^[I0: $i, X: $i] : refl(((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_invalid))) <=> ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_invalid))))),
% 49.46/32.12 inference(bind,[status(th)],[])).
% 49.46/32.12 tff(7031,plain,
% 49.46/32.12 (![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_invalid))) <=> ![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_invalid)))),
% 49.46/32.12 inference(quant_intro,[status(thm)],[7030])).
% 49.46/32.12 tff(7032,plain,
% 49.46/32.12 (![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_invalid))) <=> ![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_invalid)))),
% 49.46/32.12 inference(rewrite,[status(thm)],[])).
% 49.46/32.12 tff(7033,plain,
% 49.46/32.12 (^[I0: $i, X: $i] : rewrite(((~m_memory_v_CMD(I0, X, c_write_h_resp_h_invalid)) | (~node30(I0, X))) <=> ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_invalid))))),
% 49.46/32.12 inference(bind,[status(th)],[])).
% 49.46/32.12 tff(7034,plain,
% 49.46/32.12 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_write_h_resp_h_invalid)) | (~node30(I0, X))) <=> ![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_invalid)))),
% 49.46/32.12 inference(quant_intro,[status(thm)],[7033])).
% 49.46/32.12 tff(7035,axiom,(![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_write_h_resp_h_invalid)) | (~node30(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_77')).
% 49.46/32.12 tff(7036,plain,
% 49.46/32.12 (![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_invalid)))),
% 49.46/32.12 inference(modus_ponens,[status(thm)],[7035, 7034])).
% 49.46/32.12 tff(7037,plain,
% 49.46/32.12 (![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_invalid)))),
% 49.46/32.12 inference(modus_ponens,[status(thm)],[7036, 7032])).
% 49.46/32.12 tff(7038,plain,(
% 49.46/32.12 ![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_invalid)))),
% 49.46/32.12 inference(skolemize,[status(sab)],[7037])).
% 49.46/32.12 tff(7039,plain,
% 49.46/32.12 (![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_invalid)))),
% 49.46/32.12 inference(modus_ponens,[status(thm)],[7038, 7031])).
% 49.46/32.12 tff(7040,plain,
% 49.46/32.12 (((~![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node30(c_m, s5)) | (~m_memory_v_CMD(c_m, s5, c_write_h_resp_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (~node30(c_m, s5)) | (~m_memory_v_CMD(c_m, s5, c_write_h_resp_h_invalid)))),
% 49.46/32.13 inference(rewrite,[status(thm)],[])).
% 49.46/32.13 tff(7041,plain,
% 49.46/32.13 ((~![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node30(c_m, s5)) | (~m_memory_v_CMD(c_m, s5, c_write_h_resp_h_invalid)))),
% 49.46/32.13 inference(quant_inst,[status(thm)],[])).
% 49.46/32.13 tff(7042,plain,
% 49.46/32.13 ((~![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (~node30(c_m, s5)) | (~m_memory_v_CMD(c_m, s5, c_write_h_resp_h_invalid))),
% 49.46/32.13 inference(modus_ponens,[status(thm)],[7041, 7040])).
% 49.46/32.13 tff(7043,plain,
% 49.46/32.13 (~m_memory_v_CMD(c_m, s5, c_write_h_resp_h_invalid)),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[7042, 7039, 6933])).
% 49.46/32.13 tff(7044,plain,
% 49.46/32.13 (((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s5)) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | m_memory_v_CMD(c_m, s5, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s5)) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | m_memory_v_CMD(c_m, s5, c_write_h_resp_h_invalid))),
% 49.46/32.13 inference(rewrite,[status(thm)],[])).
% 49.46/32.13 tff(7045,plain,
% 49.46/32.13 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s5)) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | m_memory_v_CMD(c_m, s5, c_write_h_resp_h_invalid))),
% 49.46/32.13 inference(quant_inst,[status(thm)],[])).
% 49.46/32.13 tff(7046,plain,
% 49.46/32.13 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s5)) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | m_memory_v_CMD(c_m, s5, c_write_h_resp_h_invalid)),
% 49.46/32.13 inference(modus_ponens,[status(thm)],[7045, 7044])).
% 49.46/32.13 tff(7047,plain,
% 49.46/32.13 (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[7046, 4207, 6954, 7043])).
% 49.46/32.13 tff(7048,plain,
% 49.46/32.13 (~m_processor_v_state(c_p0, s5, c_shared)),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[1066, 121, 1060])).
% 49.46/32.13 tff(7049,plain,
% 49.46/32.13 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_state(c_p0, s6, c_owned) | (~node37(c_p0, s5, s6)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_state(c_p0, s6, c_owned) | (~node37(c_p0, s5, s6)))),
% 49.46/32.13 inference(rewrite,[status(thm)],[])).
% 49.46/32.13 tff(7050,plain,
% 49.46/32.13 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_state(c_p0, s6, c_owned) | (~node37(c_p0, s5, s6)))),
% 49.46/32.13 inference(quant_inst,[status(thm)],[])).
% 49.46/32.13 tff(7051,plain,
% 49.46/32.13 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_state(c_p0, s6, c_owned) | (~node37(c_p0, s5, s6))),
% 49.46/32.13 inference(modus_ponens,[status(thm)],[7050, 7049])).
% 49.46/32.13 tff(7052,plain,
% 49.46/32.13 (~node37(c_p0, s5, s6)),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[7051, 2411, 5, 1060])).
% 49.46/32.13 tff(7053,plain,
% 49.46/32.13 (~node36(c_p0, s5)),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[984, 167, 7048])).
% 49.46/32.13 tff(7054,plain,
% 49.46/32.13 (m_processor_v_master(c_p0, s5)),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[1003, 7053, 6982, 7052, 7048])).
% 49.46/32.13 tff(7055,plain,
% 49.46/32.13 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p0, s5, c_shared) | (~node63(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p0, s5, c_shared) | (~node63(c_p0, s5)))),
% 49.46/32.13 inference(rewrite,[status(thm)],[])).
% 49.46/32.13 tff(7056,plain,
% 49.46/32.13 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p0, s5, c_shared) | (~node63(c_p0, s5)))),
% 49.46/32.13 inference(quant_inst,[status(thm)],[])).
% 49.46/32.13 tff(7057,plain,
% 49.46/32.13 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p0, s5, c_shared) | (~node63(c_p0, s5))),
% 49.46/32.13 inference(modus_ponens,[status(thm)],[7056, 7055])).
% 49.46/32.13 tff(7058,plain,
% 49.46/32.13 (~node63(c_p0, s5)),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[7057, 1809, 7048])).
% 49.46/32.13 tff(7059,plain,
% 49.46/32.13 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p0, s5, c_invalid) | (~node62(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p0, s5, c_invalid) | (~node62(c_p0, s5)))),
% 49.46/32.13 inference(rewrite,[status(thm)],[])).
% 49.46/32.13 tff(7060,plain,
% 49.46/32.13 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p0, s5, c_invalid) | (~node62(c_p0, s5)))),
% 49.46/32.13 inference(quant_inst,[status(thm)],[])).
% 49.46/32.13 tff(7061,plain,
% 49.46/32.13 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p0, s5, c_invalid) | (~node62(c_p0, s5))),
% 49.46/32.13 inference(modus_ponens,[status(thm)],[7060, 7059])).
% 49.46/32.13 tff(7062,plain,
% 49.46/32.13 (~node62(c_p0, s5)),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[7061, 1633, 1073])).
% 49.46/32.13 tff(7063,assumption,(~m_main_v_CMD(s5, c_write_h_resp_h_invalid)), introduced(assumption)).
% 49.46/32.13 tff(7064,plain,
% 49.46/32.13 (((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | ((~node16(s5)) | (~m_processor_v_master(c_p0, s5)))) <=> ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | (~node16(s5)) | (~m_processor_v_master(c_p0, s5)))),
% 49.46/32.13 inference(rewrite,[status(thm)],[])).
% 49.46/32.13 tff(7065,plain,
% 49.46/32.13 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | ((~node16(s5)) | (~m_processor_v_master(c_p0, s5)))),
% 49.46/32.13 inference(quant_inst,[status(thm)],[])).
% 49.46/32.13 tff(7066,plain,
% 49.46/32.13 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | (~node16(s5)) | (~m_processor_v_master(c_p0, s5))),
% 49.46/32.13 inference(modus_ponens,[status(thm)],[7065, 7064])).
% 49.46/32.13 tff(7067,plain,
% 49.46/32.13 (~node16(s5)),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[7066, 1530, 7054])).
% 49.46/32.13 tff(7068,plain,
% 49.46/32.13 (((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | (node16(s5) | (~m_processor_v_master(c_p2, s5)))) <=> ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | node16(s5) | (~m_processor_v_master(c_p2, s5)))),
% 49.46/32.13 inference(rewrite,[status(thm)],[])).
% 49.46/32.13 tff(7069,plain,
% 49.46/32.13 ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | (node16(s5) | (~m_processor_v_master(c_p2, s5)))),
% 49.46/32.13 inference(quant_inst,[status(thm)],[])).
% 49.46/32.13 tff(7070,plain,
% 49.46/32.13 ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | node16(s5) | (~m_processor_v_master(c_p2, s5))),
% 49.46/32.13 inference(modus_ponens,[status(thm)],[7069, 7068])).
% 49.46/32.13 tff(7071,plain,
% 49.46/32.13 (~m_processor_v_master(c_p2, s5)),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[7070, 1545, 7067])).
% 49.46/32.13 tff(7072,assumption,(~m_processor_v_master(c_p2, s5)), introduced(assumption)).
% 49.46/32.13 tff(7073,assumption,(node64(c_p2, s5)), introduced(assumption)).
% 49.46/32.13 tff(7074,plain,
% 49.46/32.13 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p2, s5) | (~node64(c_p2, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p2, s5) | (~node64(c_p2, s5)))),
% 49.46/32.13 inference(rewrite,[status(thm)],[])).
% 49.46/32.13 tff(7075,plain,
% 49.46/32.13 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p2, s5) | (~node64(c_p2, s5)))),
% 49.46/32.13 inference(quant_inst,[status(thm)],[])).
% 49.46/32.13 tff(7076,plain,
% 49.46/32.13 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p2, s5) | (~node64(c_p2, s5))),
% 49.46/32.13 inference(modus_ponens,[status(thm)],[7075, 7074])).
% 49.46/32.13 tff(7077,plain,
% 49.46/32.13 ($false),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[7076, 1482, 7072, 7073])).
% 49.46/32.13 tff(7078,plain,((~node64(c_p2, s5)) | m_processor_v_master(c_p2, s5)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.13 tff(7079,plain,
% 49.46/32.13 (~node64(c_p2, s5)),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[7078, 7072])).
% 49.46/32.13 tff(7080,assumption,(node63(c_p2, s5)), introduced(assumption)).
% 49.46/32.13 tff(7081,plain,
% 49.46/32.13 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p2, s5) | (~node63(c_p2, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p2, s5) | (~node63(c_p2, s5)))),
% 49.46/32.13 inference(rewrite,[status(thm)],[])).
% 49.46/32.13 tff(7082,plain,
% 49.46/32.13 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p2, s5) | (~node63(c_p2, s5)))),
% 49.46/32.13 inference(quant_inst,[status(thm)],[])).
% 49.46/32.13 tff(7083,plain,
% 49.46/32.13 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p2, s5) | (~node63(c_p2, s5))),
% 49.46/32.13 inference(modus_ponens,[status(thm)],[7082, 7081])).
% 49.46/32.13 tff(7084,plain,
% 49.46/32.13 ($false),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[7083, 1469, 7080, 7072])).
% 49.46/32.13 tff(7085,plain,((~node63(c_p2, s5)) | m_processor_v_master(c_p2, s5)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.13 tff(7086,plain,
% 49.46/32.13 (~node63(c_p2, s5)),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[7085, 7072])).
% 49.46/32.13 tff(7087,assumption,(node66(c_p2, s5)), introduced(assumption)).
% 49.46/32.13 tff(7088,plain,
% 49.46/32.13 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p2, s5) | (~node66(c_p2, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p2, s5) | (~node66(c_p2, s5)))),
% 49.46/32.13 inference(rewrite,[status(thm)],[])).
% 49.46/32.13 tff(7089,plain,
% 49.46/32.13 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p2, s5) | (~node66(c_p2, s5)))),
% 49.46/32.13 inference(quant_inst,[status(thm)],[])).
% 49.46/32.13 tff(7090,plain,
% 49.46/32.13 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p2, s5) | (~node66(c_p2, s5))),
% 49.46/32.13 inference(modus_ponens,[status(thm)],[7089, 7088])).
% 49.46/32.13 tff(7091,plain,
% 49.46/32.13 ($false),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[7090, 1446, 7087, 7072])).
% 49.46/32.13 tff(7092,plain,((~node66(c_p2, s5)) | m_processor_v_master(c_p2, s5)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.13 tff(7093,plain,
% 49.46/32.13 (~node66(c_p2, s5)),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[7092, 7072])).
% 49.46/32.13 tff(7094,assumption,(~m_processor_v_cmd(c_p2, s5, c_idle)), introduced(assumption)).
% 49.46/32.13 tff(7095,assumption,(node65(c_p2, s5)), introduced(assumption)).
% 49.46/32.13 tff(7096,plain,
% 49.46/32.13 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p2, s5) | (~node65(c_p2, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p2, s5) | (~node65(c_p2, s5)))),
% 49.46/32.13 inference(rewrite,[status(thm)],[])).
% 49.46/32.13 tff(7097,plain,
% 49.46/32.13 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p2, s5) | (~node65(c_p2, s5)))),
% 49.46/32.13 inference(quant_inst,[status(thm)],[])).
% 49.46/32.13 tff(7098,plain,
% 49.46/32.13 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p2, s5) | (~node65(c_p2, s5))),
% 49.46/32.13 inference(modus_ponens,[status(thm)],[7097, 7096])).
% 49.46/32.13 tff(7099,plain,
% 49.46/32.13 ($false),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[7098, 1457, 7095, 7072])).
% 49.46/32.13 tff(7100,plain,((~node65(c_p2, s5)) | m_processor_v_master(c_p2, s5)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.13 tff(7101,plain,
% 49.46/32.13 (~node65(c_p2, s5)),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[7100, 7072])).
% 49.46/32.13 tff(7102,assumption,(~node64(c_p2, s5)), introduced(assumption)).
% 49.46/32.13 tff(7103,assumption,(~node66(c_p2, s5)), introduced(assumption)).
% 49.46/32.13 tff(7104,assumption,(~node65(c_p2, s5)), introduced(assumption)).
% 49.46/32.13 tff(7105,assumption,(~node63(c_p2, s5)), introduced(assumption)).
% 49.46/32.13 tff(7106,assumption,(~node62(c_p2, s5)), introduced(assumption)).
% 49.46/32.13 tff(7107,plain,
% 49.46/32.13 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s5, c_idle) | node66(c_p2, s5) | node65(c_p2, s5) | node64(c_p2, s5) | node63(c_p2, s5) | node62(c_p2, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | m_processor_v_cmd(c_p2, s5, c_idle) | node66(c_p2, s5) | node65(c_p2, s5) | node64(c_p2, s5) | node63(c_p2, s5) | node62(c_p2, s5))),
% 49.46/32.13 inference(rewrite,[status(thm)],[])).
% 49.46/32.13 tff(7108,plain,
% 49.46/32.13 ((m_processor_v_cmd(c_p2, s5, c_idle) | node62(c_p2, s5) | node63(c_p2, s5) | node64(c_p2, s5) | node65(c_p2, s5) | node66(c_p2, s5)) <=> (m_processor_v_cmd(c_p2, s5, c_idle) | node66(c_p2, s5) | node65(c_p2, s5) | node64(c_p2, s5) | node63(c_p2, s5) | node62(c_p2, s5))),
% 49.46/32.13 inference(rewrite,[status(thm)],[])).
% 49.46/32.13 tff(7109,plain,
% 49.46/32.13 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s5, c_idle) | node62(c_p2, s5) | node63(c_p2, s5) | node64(c_p2, s5) | node65(c_p2, s5) | node66(c_p2, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s5, c_idle) | node66(c_p2, s5) | node65(c_p2, s5) | node64(c_p2, s5) | node63(c_p2, s5) | node62(c_p2, s5)))),
% 49.46/32.13 inference(monotonicity,[status(thm)],[7108])).
% 49.46/32.13 tff(7110,plain,
% 49.46/32.13 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s5, c_idle) | node62(c_p2, s5) | node63(c_p2, s5) | node64(c_p2, s5) | node65(c_p2, s5) | node66(c_p2, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | m_processor_v_cmd(c_p2, s5, c_idle) | node66(c_p2, s5) | node65(c_p2, s5) | node64(c_p2, s5) | node63(c_p2, s5) | node62(c_p2, s5))),
% 49.46/32.13 inference(transitivity,[status(thm)],[7109, 7107])).
% 49.46/32.13 tff(7111,plain,
% 49.46/32.13 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s5, c_idle) | node62(c_p2, s5) | node63(c_p2, s5) | node64(c_p2, s5) | node65(c_p2, s5) | node66(c_p2, s5))),
% 49.46/32.13 inference(quant_inst,[status(thm)],[])).
% 49.46/32.13 tff(7112,plain,
% 49.46/32.13 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | m_processor_v_cmd(c_p2, s5, c_idle) | node66(c_p2, s5) | node65(c_p2, s5) | node64(c_p2, s5) | node63(c_p2, s5) | node62(c_p2, s5)),
% 49.46/32.13 inference(modus_ponens,[status(thm)],[7111, 7110])).
% 49.46/32.13 tff(7113,plain,
% 49.46/32.13 ($false),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[7112, 1508, 7106, 7105, 7104, 7103, 7094, 7102])).
% 49.46/32.13 tff(7114,plain,(m_processor_v_cmd(c_p2, s5, c_idle) | node62(c_p2, s5) | node63(c_p2, s5) | node65(c_p2, s5) | node66(c_p2, s5) | node64(c_p2, s5)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.13 tff(7115,plain,
% 49.46/32.13 (node62(c_p2, s5)),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[7114, 7101, 7094, 7093, 7086, 7079])).
% 49.46/32.13 tff(7116,plain,
% 49.46/32.13 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p2, s5) | (~node62(c_p2, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p2, s5) | (~node62(c_p2, s5)))),
% 49.46/32.13 inference(rewrite,[status(thm)],[])).
% 49.46/32.13 tff(7117,plain,
% 49.46/32.13 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p2, s5) | (~node62(c_p2, s5)))),
% 49.46/32.13 inference(quant_inst,[status(thm)],[])).
% 49.46/32.13 tff(7118,plain,
% 49.46/32.13 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p2, s5) | (~node62(c_p2, s5))),
% 49.46/32.13 inference(modus_ponens,[status(thm)],[7117, 7116])).
% 49.46/32.13 tff(7119,plain,
% 49.46/32.13 ($false),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[7118, 1493, 7115, 7072])).
% 49.46/32.13 tff(7120,plain,(m_processor_v_master(c_p2, s5) | m_processor_v_cmd(c_p2, s5, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.13 tff(7121,plain,
% 49.46/32.13 (m_processor_v_cmd(c_p2, s5, c_idle)),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[7120, 7071])).
% 49.46/32.13 tff(7122,plain,
% 49.46/32.13 (((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p0, s5)) | (~node17(s5)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | (~m_processor_v_master(c_p0, s5)) | (~node17(s5)))),
% 49.46/32.13 inference(rewrite,[status(thm)],[])).
% 49.46/32.13 tff(7123,plain,
% 49.46/32.13 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p0, s5)) | (~node17(s5)))),
% 49.46/32.13 inference(quant_inst,[status(thm)],[])).
% 49.46/32.13 tff(7124,plain,
% 49.46/32.13 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | (~m_processor_v_master(c_p0, s5)) | (~node17(s5))),
% 49.46/32.13 inference(modus_ponens,[status(thm)],[7123, 7122])).
% 49.46/32.13 tff(7125,plain,
% 49.46/32.13 (~node17(s5)),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[7124, 1275, 7054])).
% 49.46/32.13 tff(7126,plain,
% 49.46/32.13 (((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | (node17(s5) | (~m_memory_v_master(c_m, s5)))) <=> ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | node17(s5) | (~m_memory_v_master(c_m, s5)))),
% 49.46/32.13 inference(rewrite,[status(thm)],[])).
% 49.46/32.13 tff(7127,plain,
% 49.46/32.13 ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | (node17(s5) | (~m_memory_v_master(c_m, s5)))),
% 49.46/32.13 inference(quant_inst,[status(thm)],[])).
% 49.46/32.13 tff(7128,plain,
% 49.46/32.13 ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | node17(s5) | (~m_memory_v_master(c_m, s5))),
% 49.46/32.13 inference(modus_ponens,[status(thm)],[7127, 7126])).
% 49.46/32.13 tff(7129,plain,
% 49.46/32.13 (~m_memory_v_master(c_m, s5)),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[7128, 1290, 7125])).
% 49.46/32.13 tff(7130,assumption,(node29(c_m, s5)), introduced(assumption)).
% 49.46/32.13 tff(7131,assumption,(~m_memory_v_master(c_m, s5)), introduced(assumption)).
% 49.46/32.13 tff(7132,plain,
% 49.46/32.13 (((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | (m_memory_v_master(c_m, s5) | (~node29(c_m, s5)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | m_memory_v_master(c_m, s5) | (~node29(c_m, s5)))),
% 49.46/32.13 inference(rewrite,[status(thm)],[])).
% 49.46/32.13 tff(7133,plain,
% 49.46/32.13 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | (m_memory_v_master(c_m, s5) | (~node29(c_m, s5)))),
% 49.46/32.13 inference(quant_inst,[status(thm)],[])).
% 49.46/32.13 tff(7134,plain,
% 49.46/32.13 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | m_memory_v_master(c_m, s5) | (~node29(c_m, s5))),
% 49.46/32.13 inference(modus_ponens,[status(thm)],[7133, 7132])).
% 49.46/32.13 tff(7135,plain,
% 49.46/32.13 ($false),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[7134, 1305, 7131, 7130])).
% 49.46/32.13 tff(7136,plain,((~node29(c_m, s5)) | m_memory_v_master(c_m, s5)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.13 tff(7137,plain,
% 49.46/32.13 (~node29(c_m, s5)),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[7136, 7129])).
% 49.46/32.13 tff(7138,assumption,(~m_memory_v_cmd(c_m, s5, c_idle)), introduced(assumption)).
% 49.46/32.13 tff(7139,assumption,(~node29(c_m, s5)), introduced(assumption)).
% 49.46/32.13 tff(7140,plain,
% 49.46/32.13 (((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | (node29(c_m, s5) | m_memory_v_cmd(c_m, s5, c_idle))) <=> ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | node29(c_m, s5) | m_memory_v_cmd(c_m, s5, c_idle))),
% 49.46/32.13 inference(rewrite,[status(thm)],[])).
% 49.46/32.13 tff(7141,plain,
% 49.46/32.13 ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | (node29(c_m, s5) | m_memory_v_cmd(c_m, s5, c_idle))),
% 49.46/32.13 inference(quant_inst,[status(thm)],[])).
% 49.46/32.13 tff(7142,plain,
% 49.46/32.13 ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | node29(c_m, s5) | m_memory_v_cmd(c_m, s5, c_idle)),
% 49.46/32.13 inference(modus_ponens,[status(thm)],[7141, 7140])).
% 49.46/32.13 tff(7143,plain,
% 49.46/32.13 ($false),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[7142, 1320, 7139, 7138])).
% 49.46/32.13 tff(7144,plain,(m_memory_v_cmd(c_m, s5, c_idle) | node29(c_m, s5)), inference(lemma,lemma(discharge,[]))).
% 49.46/32.13 tff(7145,plain,
% 49.46/32.13 (m_memory_v_cmd(c_m, s5, c_idle)),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[7144, 7137])).
% 49.46/32.13 tff(7146,assumption,(m_processor_v_cmd(c_p1, s5, c_idle)), introduced(assumption)).
% 49.46/32.13 tff(7147,plain,
% 49.46/32.13 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | ((~m_processor_v_cmd(c_p2, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | node8(s5) | (~m_memory_v_cmd(c_m, s5, c_idle)))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | node8(s5) | (~m_memory_v_cmd(c_m, s5, c_idle)))),
% 49.46/32.13 inference(rewrite,[status(thm)],[])).
% 49.46/32.13 tff(7148,plain,
% 49.46/32.13 ((node8(s5) | (~m_memory_v_cmd(c_m, s5, c_idle)) | (~m_processor_v_cmd(c_p2, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_idle))) <=> ((~m_processor_v_cmd(c_p2, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | node8(s5) | (~m_memory_v_cmd(c_m, s5, c_idle)))),
% 49.46/32.13 inference(rewrite,[status(thm)],[])).
% 49.46/32.13 tff(7149,plain,
% 49.46/32.13 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s5) | (~m_memory_v_cmd(c_m, s5, c_idle)) | (~m_processor_v_cmd(c_p2, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_idle)))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | ((~m_processor_v_cmd(c_p2, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | node8(s5) | (~m_memory_v_cmd(c_m, s5, c_idle))))),
% 49.46/32.13 inference(monotonicity,[status(thm)],[7148])).
% 49.46/32.13 tff(7150,plain,
% 49.46/32.13 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s5) | (~m_memory_v_cmd(c_m, s5, c_idle)) | (~m_processor_v_cmd(c_p2, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_idle)))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | node8(s5) | (~m_memory_v_cmd(c_m, s5, c_idle)))),
% 49.46/32.13 inference(transitivity,[status(thm)],[7149, 7147])).
% 49.46/32.13 tff(7151,plain,
% 49.46/32.13 ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s5) | (~m_memory_v_cmd(c_m, s5, c_idle)) | (~m_processor_v_cmd(c_p2, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_idle)))),
% 49.46/32.13 inference(quant_inst,[status(thm)],[])).
% 49.46/32.13 tff(7152,plain,
% 49.46/32.13 ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | node8(s5) | (~m_memory_v_cmd(c_m, s5, c_idle))),
% 49.46/32.13 inference(modus_ponens,[status(thm)],[7151, 7150])).
% 49.46/32.13 tff(7153,plain,
% 49.46/32.13 ((~m_processor_v_cmd(c_p2, s5, c_idle)) | node8(s5) | (~m_memory_v_cmd(c_m, s5, c_idle))),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[7152, 1593, 7146])).
% 49.46/32.13 tff(7154,plain,
% 49.46/32.13 (node8(s5)),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[7153, 7145, 7121])).
% 49.46/32.13 tff(7155,assumption,(node8(s5)), introduced(assumption)).
% 49.46/32.13 tff(7156,assumption,(m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid)), introduced(assumption)).
% 49.46/32.13 tff(7157,plain,
% 49.46/32.13 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~node8(s5)) | (~m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~node8(s5)) | (~m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid)))),
% 49.46/32.13 inference(rewrite,[status(thm)],[])).
% 49.46/32.13 tff(7158,plain,
% 49.46/32.13 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~node8(s5)) | (~m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid)))),
% 49.46/32.13 inference(quant_inst,[status(thm)],[])).
% 49.46/32.13 tff(7159,plain,
% 49.46/32.13 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~node8(s5)) | (~m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid))),
% 49.46/32.13 inference(modus_ponens,[status(thm)],[7158, 7157])).
% 49.46/32.13 tff(7160,plain,
% 49.46/32.13 ($false),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[7159, 1669, 7063, 7156, 7155])).
% 49.46/32.13 tff(7161,plain,((~m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid)) | m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~node8(s5))), inference(lemma,lemma(discharge,[]))).
% 49.46/32.13 tff(7162,plain,
% 49.46/32.13 (~m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid)),
% 49.46/32.13 inference(unit_resolution,[status(thm)],[7161, 7154, 7063])).
% 49.46/32.13 tff(7163,plain,
% 49.46/32.13 (^[I0: $i, X: $i] : refl((m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X)) <=> (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X)))),
% 49.46/32.13 inference(bind,[status(th)],[])).
% 49.46/32.13 tff(7164,plain,
% 49.46/32.13 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))),
% 49.46/32.13 inference(quant_intro,[status(thm)],[7163])).
% 49.46/32.13 tff(7165,plain,
% 49.46/32.13 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))),
% 49.46/32.13 inference(rewrite,[status(thm)],[])).
% 49.46/32.13 tff(7166,plain,
% 49.46/32.13 (^[I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node62(I0, X) | node63(I0, X)) | (~m_processor_v_master(I0, X))) <=> ((~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))), ((((node62(I0, X) | node63(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) <=> (((~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X)) | (~m_processor_v_state(I0, X, c_owned))))), rewrite((((~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))), ((((node62(I0, X) | node63(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X)))), (((((node62(I0, X) | node63(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_owned))) <=> (((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X)) | (~m_processor_v_snoop(I0, X, c_owned))))), rewrite((((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X)) | (~m_processor_v_snoop(I0, X, c_owned))) <=> ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))), (((((node62(I0, X) | node63(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_owned))) <=> ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X)))), ((((((node62(I0, X) | node63(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_owned))) | m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)) <=> (((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X)) | m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))), rewrite((((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X)) | m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)) <=> (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))), ((((((node62(I0, X) | node63(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_owned))) | m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)) <=> (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))))),
% 49.46/32.13 inference(bind,[status(th)],[])).
% 49.46/32.13 tff(7167,plain,
% 49.46/32.13 (![I0: $i, X: $i] : (((((node62(I0, X) | node63(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_owned))) | m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))),
% 49.46/32.13 inference(quant_intro,[status(thm)],[7166])).
% 49.46/32.13 tff(7168,axiom,(![I0: $i, X: $i] : (((((node62(I0, X) | node63(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_owned))) | m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_157')).
% 49.46/32.13 tff(7169,plain,
% 49.46/32.13 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))),
% 49.46/32.13 inference(modus_ponens,[status(thm)],[7168, 7167])).
% 49.46/32.13 tff(7170,plain,
% 49.46/32.13 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))),
% 49.46/32.13 inference(modus_ponens,[status(thm)],[7169, 7165])).
% 49.46/32.13 tff(7171,plain,(
% 49.46/32.13 ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))),
% 49.46/32.13 inference(skolemize,[status(sab)],[7170])).
% 49.46/32.13 tff(7172,plain,
% 49.46/32.13 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))),
% 49.53/32.14 inference(modus_ponens,[status(thm)],[7171, 7164])).
% 49.53/32.14 tff(7173,plain,
% 49.53/32.14 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p0, s5, c_owned)) | node63(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s5, c_owned)) | (~m_processor_v_master(c_p0, s5)) | node62(c_p0, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p0, s5, c_owned)) | node63(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s5, c_owned)) | (~m_processor_v_master(c_p0, s5)) | node62(c_p0, s5))),
% 49.53/32.14 inference(rewrite,[status(thm)],[])).
% 49.53/32.14 tff(7174,plain,
% 49.53/32.14 ((m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s5, c_owned)) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~m_processor_v_master(c_p0, s5)) | node62(c_p0, s5) | node63(c_p0, s5)) <=> ((~m_processor_v_state(c_p0, s5, c_owned)) | node63(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s5, c_owned)) | (~m_processor_v_master(c_p0, s5)) | node62(c_p0, s5))),
% 49.53/32.14 inference(rewrite,[status(thm)],[])).
% 49.53/32.14 tff(7175,plain,
% 49.53/32.14 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s5, c_owned)) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~m_processor_v_master(c_p0, s5)) | node62(c_p0, s5) | node63(c_p0, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p0, s5, c_owned)) | node63(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s5, c_owned)) | (~m_processor_v_master(c_p0, s5)) | node62(c_p0, s5)))),
% 49.53/32.14 inference(monotonicity,[status(thm)],[7174])).
% 49.53/32.14 tff(7176,plain,
% 49.53/32.14 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s5, c_owned)) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~m_processor_v_master(c_p0, s5)) | node62(c_p0, s5) | node63(c_p0, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p0, s5, c_owned)) | node63(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s5, c_owned)) | (~m_processor_v_master(c_p0, s5)) | node62(c_p0, s5))),
% 49.53/32.14 inference(transitivity,[status(thm)],[7175, 7173])).
% 49.53/32.14 tff(7177,plain,
% 49.53/32.14 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s5, c_owned)) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~m_processor_v_master(c_p0, s5)) | node62(c_p0, s5) | node63(c_p0, s5))),
% 49.53/32.14 inference(quant_inst,[status(thm)],[])).
% 49.53/32.14 tff(7178,plain,
% 49.53/32.14 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p0, s5, c_owned)) | node63(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s5, c_owned)) | (~m_processor_v_master(c_p0, s5)) | node62(c_p0, s5)),
% 49.53/32.14 inference(modus_ponens,[status(thm)],[7177, 7176])).
% 49.53/32.14 tff(7179,plain,
% 49.53/32.14 (node63(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s5, c_owned)) | (~m_processor_v_master(c_p0, s5)) | node62(c_p0, s5)),
% 49.53/32.14 inference(unit_resolution,[status(thm)],[7178, 7172, 1060])).
% 49.53/32.14 tff(7180,plain,
% 49.53/32.14 (~m_processor_v_snoop(c_p0, s5, c_owned)),
% 49.53/32.14 inference(unit_resolution,[status(thm)],[7179, 7162, 7062, 7058, 7054])).
% 49.53/32.14 tff(7181,assumption,(~m_main_v_CMD(s5, c_write_h_resp_h_shared)), introduced(assumption)).
% 49.53/32.14 tff(7182,plain,
% 49.53/32.14 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_shared) | (~node8(s5)) | (~m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s5, c_write_h_resp_h_shared) | (~node8(s5)) | (~m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared)))),
% 49.53/32.14 inference(rewrite,[status(thm)],[])).
% 49.53/32.14 tff(7183,plain,
% 49.53/32.14 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_shared) | (~node8(s5)) | (~m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared)))),
% 49.53/32.14 inference(quant_inst,[status(thm)],[])).
% 49.53/32.14 tff(7184,plain,
% 49.53/32.14 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s5, c_write_h_resp_h_shared) | (~node8(s5)) | (~m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared))),
% 49.53/32.14 inference(modus_ponens,[status(thm)],[7183, 7182])).
% 49.53/32.14 tff(7185,plain,
% 49.53/32.14 ((~node8(s5)) | (~m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared))),
% 49.53/32.14 inference(unit_resolution,[status(thm)],[7184, 1669, 7181])).
% 49.53/32.14 tff(7186,plain,
% 49.53/32.14 (~m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared)),
% 49.53/32.14 inference(unit_resolution,[status(thm)],[7185, 7154])).
% 49.53/32.14 tff(7187,assumption,(~m_main_v_CMD(s5, c_write_h_invalid)), introduced(assumption)).
% 49.53/32.14 tff(7188,assumption,(m_processor_v_cmd(c_p0, s5, c_write_h_invalid)), introduced(assumption)).
% 49.53/32.14 tff(7189,plain,
% 49.53/32.14 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s5, c_write_h_invalid) | (~node8(s5)) | (~m_processor_v_cmd(c_p0, s5, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s5, c_write_h_invalid) | (~node8(s5)) | (~m_processor_v_cmd(c_p0, s5, c_write_h_invalid)))),
% 49.53/32.14 inference(rewrite,[status(thm)],[])).
% 49.53/32.14 tff(7190,plain,
% 49.53/32.14 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s5, c_write_h_invalid) | (~node8(s5)) | (~m_processor_v_cmd(c_p0, s5, c_write_h_invalid)))),
% 49.53/32.14 inference(quant_inst,[status(thm)],[])).
% 49.53/32.14 tff(7191,plain,
% 49.53/32.14 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s5, c_write_h_invalid) | (~node8(s5)) | (~m_processor_v_cmd(c_p0, s5, c_write_h_invalid))),
% 49.53/32.14 inference(modus_ponens,[status(thm)],[7190, 7189])).
% 49.53/32.14 tff(7192,plain,
% 49.53/32.14 ($false),
% 49.53/32.14 inference(unit_resolution,[status(thm)],[7191, 1669, 7187, 7188, 7155])).
% 49.53/32.14 tff(7193,plain,((~m_processor_v_cmd(c_p0, s5, c_write_h_invalid)) | m_main_v_CMD(s5, c_write_h_invalid) | (~node8(s5))), inference(lemma,lemma(discharge,[]))).
% 49.53/32.14 tff(7194,plain,
% 49.53/32.14 (~m_processor_v_cmd(c_p0, s5, c_write_h_invalid)),
% 49.53/32.14 inference(unit_resolution,[status(thm)],[7193, 7154, 7187])).
% 49.53/32.14 tff(7195,assumption,(~m_processor_v_snoop(c_p0, s5, c_shared)), introduced(assumption)).
% 49.53/32.14 tff(7196,assumption,(~m_processor_v_snoop(c_p0, s5, c_owned)), introduced(assumption)).
% 49.53/32.14 tff(7197,plain,
% 49.53/32.14 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p0, s5, c_owned) | (~node64(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p0, s5, c_owned) | (~node64(c_p0, s5)))),
% 49.53/32.14 inference(rewrite,[status(thm)],[])).
% 49.53/32.14 tff(7198,plain,
% 49.53/32.14 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p0, s5, c_owned) | (~node64(c_p0, s5)))),
% 49.53/32.14 inference(quant_inst,[status(thm)],[])).
% 49.53/32.14 tff(7199,plain,
% 49.53/32.14 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p0, s5, c_owned) | (~node64(c_p0, s5))),
% 49.53/32.14 inference(modus_ponens,[status(thm)],[7198, 7197])).
% 49.53/32.14 tff(7200,plain,
% 49.53/32.14 (~node64(c_p0, s5)),
% 49.53/32.14 inference(unit_resolution,[status(thm)],[7199, 4082, 7196])).
% 49.53/32.14 tff(7201,assumption,(~m_processor_v_cmd(c_p0, s5, c_write_h_invalid)), introduced(assumption)).
% 49.53/32.14 tff(7202,assumption,(m_processor_v_master(c_p0, s5)), introduced(assumption)).
% 49.53/32.14 tff(7203,assumption,(~node62(c_p0, s5)), introduced(assumption)).
% 49.53/32.14 tff(7204,plain,
% 49.53/32.14 (^[I0: $i, X: $i] : refl((m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid)) <=> (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid)))),
% 49.53/32.14 inference(bind,[status(th)],[])).
% 49.53/32.14 tff(7205,plain,
% 49.53/32.14 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid)) <=> ![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))),
% 49.53/32.14 inference(quant_intro,[status(thm)],[7204])).
% 49.53/32.14 tff(7206,plain,
% 49.53/32.14 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid)) <=> ![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))),
% 49.53/32.14 inference(rewrite,[status(thm)],[])).
% 49.53/32.14 tff(7207,plain,
% 49.53/32.14 (^[I0: $i, X: $i] : rewrite(((m_processor_v_snoop(I0, X, c_invalid) | m_processor_v_snoop(I0, X, c_owned)) | m_processor_v_snoop(I0, X, c_shared)) <=> (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid)))),
% 49.53/32.14 inference(bind,[status(th)],[])).
% 49.53/32.14 tff(7208,plain,
% 49.53/32.14 (![I0: $i, X: $i] : ((m_processor_v_snoop(I0, X, c_invalid) | m_processor_v_snoop(I0, X, c_owned)) | m_processor_v_snoop(I0, X, c_shared)) <=> ![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))),
% 49.53/32.14 inference(quant_intro,[status(thm)],[7207])).
% 49.53/32.14 tff(7209,axiom,(![I0: $i, X: $i] : ((m_processor_v_snoop(I0, X, c_invalid) | m_processor_v_snoop(I0, X, c_owned)) | m_processor_v_snoop(I0, X, c_shared))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_38')).
% 49.53/32.14 tff(7210,plain,
% 49.53/32.14 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))),
% 49.53/32.14 inference(modus_ponens,[status(thm)],[7209, 7208])).
% 49.53/32.14 tff(7211,plain,
% 49.53/32.14 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))),
% 49.53/32.14 inference(modus_ponens,[status(thm)],[7210, 7206])).
% 49.53/32.14 tff(7212,plain,(
% 49.53/32.14 ![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))),
% 49.53/32.14 inference(skolemize,[status(sab)],[7211])).
% 49.53/32.14 tff(7213,plain,
% 49.53/32.14 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))),
% 49.53/32.14 inference(modus_ponens,[status(thm)],[7212, 7205])).
% 49.53/32.14 tff(7214,plain,
% 49.53/32.14 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s5, c_invalid) | m_processor_v_snoop(c_p0, s5, c_shared) | m_processor_v_snoop(c_p0, s5, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p0, s5, c_invalid) | m_processor_v_snoop(c_p0, s5, c_shared) | m_processor_v_snoop(c_p0, s5, c_owned))),
% 49.53/32.14 inference(rewrite,[status(thm)],[])).
% 49.53/32.14 tff(7215,plain,
% 49.53/32.14 ((m_processor_v_snoop(c_p0, s5, c_shared) | m_processor_v_snoop(c_p0, s5, c_owned) | m_processor_v_snoop(c_p0, s5, c_invalid)) <=> (m_processor_v_snoop(c_p0, s5, c_invalid) | m_processor_v_snoop(c_p0, s5, c_shared) | m_processor_v_snoop(c_p0, s5, c_owned))),
% 49.53/32.14 inference(rewrite,[status(thm)],[])).
% 49.53/32.14 tff(7216,plain,
% 49.53/32.14 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s5, c_shared) | m_processor_v_snoop(c_p0, s5, c_owned) | m_processor_v_snoop(c_p0, s5, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s5, c_invalid) | m_processor_v_snoop(c_p0, s5, c_shared) | m_processor_v_snoop(c_p0, s5, c_owned)))),
% 49.53/32.14 inference(monotonicity,[status(thm)],[7215])).
% 49.53/32.14 tff(7217,plain,
% 49.53/32.14 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s5, c_shared) | m_processor_v_snoop(c_p0, s5, c_owned) | m_processor_v_snoop(c_p0, s5, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p0, s5, c_invalid) | m_processor_v_snoop(c_p0, s5, c_shared) | m_processor_v_snoop(c_p0, s5, c_owned))),
% 49.53/32.14 inference(transitivity,[status(thm)],[7216, 7214])).
% 49.53/32.14 tff(7218,plain,
% 49.53/32.14 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s5, c_shared) | m_processor_v_snoop(c_p0, s5, c_owned) | m_processor_v_snoop(c_p0, s5, c_invalid))),
% 49.53/32.14 inference(quant_inst,[status(thm)],[])).
% 49.53/32.14 tff(7219,plain,
% 49.53/32.14 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p0, s5, c_invalid) | m_processor_v_snoop(c_p0, s5, c_shared) | m_processor_v_snoop(c_p0, s5, c_owned)),
% 49.53/32.14 inference(modus_ponens,[status(thm)],[7218, 7217])).
% 49.53/32.14 tff(7220,plain,
% 49.53/32.14 (m_processor_v_snoop(c_p0, s5, c_invalid) | m_processor_v_snoop(c_p0, s5, c_shared)),
% 49.53/32.14 inference(unit_resolution,[status(thm)],[7219, 7213, 7196])).
% 49.53/32.14 tff(7221,plain,
% 49.53/32.14 (m_processor_v_snoop(c_p0, s5, c_invalid)),
% 49.53/32.14 inference(unit_resolution,[status(thm)],[7220, 7195])).
% 49.53/32.14 tff(7222,assumption,(~node63(c_p0, s5)), introduced(assumption)).
% 49.53/32.14 tff(7223,plain,
% 49.53/32.14 (^[I0: $i, X: $i] : refl((m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)) <=> (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)))),
% 49.53/32.14 inference(bind,[status(th)],[])).
% 49.53/32.14 tff(7224,plain,
% 49.53/32.14 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))),
% 49.53/32.14 inference(quant_intro,[status(thm)],[7223])).
% 49.53/32.14 tff(7225,plain,
% 49.53/32.14 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))),
% 49.53/32.14 inference(rewrite,[status(thm)],[])).
% 49.53/32.14 tff(7226,plain,
% 49.53/32.14 (^[I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node62(I0, X) | node63(I0, X)) | node64(I0, X)) <=> (node62(I0, X) | node63(I0, X) | node64(I0, X))), ((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) <=> ((node62(I0, X) | node63(I0, X) | node64(I0, X)) | node65(I0, X)))), rewrite(((node62(I0, X) | node63(I0, X) | node64(I0, X)) | node65(I0, X)) <=> (node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))), ((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) <=> (node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)))), (((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | (~m_processor_v_master(I0, X))) <=> ((node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)) | (~m_processor_v_master(I0, X))))), rewrite(((node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)) | (~m_processor_v_master(I0, X))) <=> ((~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))), (((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | (~m_processor_v_master(I0, X))) <=> ((~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)))), ((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) <=> (((~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)) | (~m_processor_v_state(I0, X, c_owned))))), rewrite((((~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))), ((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)))), (((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_invalid))) <=> (((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)) | (~m_processor_v_snoop(I0, X, c_invalid))))), rewrite((((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)) | (~m_processor_v_snoop(I0, X, c_invalid))) <=> ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))), (((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_invalid))) <=> ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)))), ((((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_cmd(I0, X, c_write_h_invalid)) <=> (((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)) | m_processor_v_cmd(I0, X, c_write_h_invalid)))), rewrite((((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X)) | m_processor_v_cmd(I0, X, c_write_h_invalid)) <=> (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))), ((((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_cmd(I0, X, c_write_h_invalid)) <=> (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))))),
% 49.53/32.14 inference(bind,[status(th)],[])).
% 49.53/32.14 tff(7227,plain,
% 49.53/32.14 (![I0: $i, X: $i] : (((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_cmd(I0, X, c_write_h_invalid)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))),
% 49.53/32.14 inference(quant_intro,[status(thm)],[7226])).
% 49.53/32.14 tff(7228,axiom,(![I0: $i, X: $i] : (((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | node65(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_cmd(I0, X, c_write_h_invalid))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_159')).
% 49.53/32.14 tff(7229,plain,
% 49.53/32.14 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))),
% 49.53/32.14 inference(modus_ponens,[status(thm)],[7228, 7227])).
% 49.53/32.14 tff(7230,plain,
% 49.53/32.14 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))),
% 49.53/32.14 inference(modus_ponens,[status(thm)],[7229, 7225])).
% 49.53/32.14 tff(7231,plain,(
% 49.53/32.14 ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))),
% 49.53/32.14 inference(skolemize,[status(sab)],[7230])).
% 49.53/32.14 tff(7232,plain,
% 49.53/32.14 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))),
% 49.53/32.14 inference(modus_ponens,[status(thm)],[7231, 7224])).
% 49.53/32.14 tff(7233,plain,
% 49.53/32.14 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p0, s5, c_owned)) | node63(c_p0, s5) | node64(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_write_h_invalid) | node65(c_p0, s5) | (~m_processor_v_master(c_p0, s5)) | (~m_processor_v_snoop(c_p0, s5, c_invalid)) | node62(c_p0, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p0, s5, c_owned)) | node63(c_p0, s5) | node64(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_write_h_invalid) | node65(c_p0, s5) | (~m_processor_v_master(c_p0, s5)) | (~m_processor_v_snoop(c_p0, s5, c_invalid)) | node62(c_p0, s5))),
% 49.53/32.14 inference(rewrite,[status(thm)],[])).
% 49.53/32.14 tff(7234,plain,
% 49.53/32.14 ((m_processor_v_cmd(c_p0, s5, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s5, c_invalid)) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~m_processor_v_master(c_p0, s5)) | node62(c_p0, s5) | node63(c_p0, s5) | node64(c_p0, s5) | node65(c_p0, s5)) <=> ((~m_processor_v_state(c_p0, s5, c_owned)) | node63(c_p0, s5) | node64(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_write_h_invalid) | node65(c_p0, s5) | (~m_processor_v_master(c_p0, s5)) | (~m_processor_v_snoop(c_p0, s5, c_invalid)) | node62(c_p0, s5))),
% 49.53/32.14 inference(rewrite,[status(thm)],[])).
% 49.53/32.14 tff(7235,plain,
% 49.53/32.14 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p0, s5, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s5, c_invalid)) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~m_processor_v_master(c_p0, s5)) | node62(c_p0, s5) | node63(c_p0, s5) | node64(c_p0, s5) | node65(c_p0, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p0, s5, c_owned)) | node63(c_p0, s5) | node64(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_write_h_invalid) | node65(c_p0, s5) | (~m_processor_v_master(c_p0, s5)) | (~m_processor_v_snoop(c_p0, s5, c_invalid)) | node62(c_p0, s5)))),
% 49.53/32.14 inference(monotonicity,[status(thm)],[7234])).
% 49.53/32.14 tff(7236,plain,
% 49.53/32.14 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p0, s5, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s5, c_invalid)) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~m_processor_v_master(c_p0, s5)) | node62(c_p0, s5) | node63(c_p0, s5) | node64(c_p0, s5) | node65(c_p0, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p0, s5, c_owned)) | node63(c_p0, s5) | node64(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_write_h_invalid) | node65(c_p0, s5) | (~m_processor_v_master(c_p0, s5)) | (~m_processor_v_snoop(c_p0, s5, c_invalid)) | node62(c_p0, s5))),
% 49.53/32.14 inference(transitivity,[status(thm)],[7235, 7233])).
% 49.53/32.14 tff(7237,plain,
% 49.53/32.14 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p0, s5, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s5, c_invalid)) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~m_processor_v_master(c_p0, s5)) | node62(c_p0, s5) | node63(c_p0, s5) | node64(c_p0, s5) | node65(c_p0, s5))),
% 49.53/32.14 inference(quant_inst,[status(thm)],[])).
% 49.53/32.14 tff(7238,plain,
% 49.53/32.14 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p0, s5, c_owned)) | node63(c_p0, s5) | node64(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_write_h_invalid) | node65(c_p0, s5) | (~m_processor_v_master(c_p0, s5)) | (~m_processor_v_snoop(c_p0, s5, c_invalid)) | node62(c_p0, s5)),
% 49.53/32.15 inference(modus_ponens,[status(thm)],[7237, 7236])).
% 49.53/32.15 tff(7239,plain,
% 49.53/32.15 (node64(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_write_h_invalid) | node65(c_p0, s5) | (~m_processor_v_master(c_p0, s5)) | (~m_processor_v_snoop(c_p0, s5, c_invalid)) | node62(c_p0, s5)),
% 49.53/32.15 inference(unit_resolution,[status(thm)],[7238, 7232, 1060, 7222])).
% 49.53/32.15 tff(7240,plain,
% 49.53/32.15 (node65(c_p0, s5)),
% 49.53/32.15 inference(unit_resolution,[status(thm)],[7239, 7221, 7203, 7202, 7201, 7200])).
% 49.53/32.15 tff(7241,plain,
% 49.53/32.15 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p0, s5, c_shared) | (~node65(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p0, s5, c_shared) | (~node65(c_p0, s5)))),
% 49.53/32.15 inference(rewrite,[status(thm)],[])).
% 49.53/32.15 tff(7242,plain,
% 49.53/32.15 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p0, s5, c_shared) | (~node65(c_p0, s5)))),
% 49.53/32.15 inference(quant_inst,[status(thm)],[])).
% 49.53/32.15 tff(7243,plain,
% 49.53/32.15 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p0, s5, c_shared) | (~node65(c_p0, s5))),
% 49.53/32.15 inference(modus_ponens,[status(thm)],[7242, 7241])).
% 49.53/32.15 tff(7244,plain,
% 49.53/32.15 ($false),
% 49.53/32.15 inference(unit_resolution,[status(thm)],[7243, 4107, 7240, 7195])).
% 49.53/32.15 tff(7245,plain,(m_processor_v_snoop(c_p0, s5, c_shared) | node62(c_p0, s5) | (~m_processor_v_master(c_p0, s5)) | m_processor_v_cmd(c_p0, s5, c_write_h_invalid) | (~m_processor_v_state(c_p0, s5, c_owned)) | node63(c_p0, s5) | m_processor_v_snoop(c_p0, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.53/32.15 tff(7246,plain,
% 49.53/32.15 (m_processor_v_snoop(c_p0, s5, c_shared)),
% 49.53/32.15 inference(unit_resolution,[status(thm)],[7245, 7180, 1060, 7054, 7194, 7058, 7062])).
% 49.53/32.15 tff(7247,plain,
% 49.53/32.15 (^[I0: $i, X: $i] : refl((m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X)) <=> (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X)))),
% 49.53/32.15 inference(bind,[status(th)],[])).
% 49.53/32.15 tff(7248,plain,
% 49.53/32.15 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))),
% 49.53/32.15 inference(quant_intro,[status(thm)],[7247])).
% 49.53/32.15 tff(7249,plain,
% 49.53/32.15 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))),
% 49.53/32.15 inference(rewrite,[status(thm)],[])).
% 49.53/32.15 tff(7250,plain,
% 49.53/32.15 (^[I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((node62(I0, X) | node63(I0, X)) | node64(I0, X)) <=> (node62(I0, X) | node63(I0, X) | node64(I0, X))), ((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | (~m_processor_v_master(I0, X))) <=> ((node62(I0, X) | node63(I0, X) | node64(I0, X)) | (~m_processor_v_master(I0, X))))), rewrite(((node62(I0, X) | node63(I0, X) | node64(I0, X)) | (~m_processor_v_master(I0, X))) <=> ((~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))), ((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | (~m_processor_v_master(I0, X))) <=> ((~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X)))), (((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) <=> (((~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X)) | (~m_processor_v_state(I0, X, c_owned))))), rewrite((((~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))), (((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X)))), ((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_shared))) <=> (((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X)) | (~m_processor_v_snoop(I0, X, c_shared))))), rewrite((((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X)) | (~m_processor_v_snoop(I0, X, c_shared))) <=> ((~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))), ((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_shared))) <=> ((~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X)))), (((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_shared))) | m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) <=> (((~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X)) | m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))), rewrite((((~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X)) | m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) <=> (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))), (((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_shared))) | m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) <=> (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))))),
% 49.53/32.15 inference(bind,[status(th)],[])).
% 49.53/32.15 tff(7251,plain,
% 49.53/32.15 (![I0: $i, X: $i] : ((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_shared))) | m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) <=> ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))),
% 49.53/32.15 inference(quant_intro,[status(thm)],[7250])).
% 49.53/32.15 tff(7252,axiom,(![I0: $i, X: $i] : ((((((node62(I0, X) | node63(I0, X)) | node64(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_snoop(I0, X, c_shared))) | m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_158')).
% 49.53/32.15 tff(7253,plain,
% 49.53/32.15 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))),
% 49.53/32.15 inference(modus_ponens,[status(thm)],[7252, 7251])).
% 49.53/32.15 tff(7254,plain,
% 49.53/32.15 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))),
% 49.53/32.15 inference(modus_ponens,[status(thm)],[7253, 7249])).
% 49.53/32.15 tff(7255,plain,(
% 49.53/32.15 ![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))),
% 49.53/32.15 inference(skolemize,[status(sab)],[7254])).
% 49.53/32.15 tff(7256,plain,
% 49.53/32.15 (![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))),
% 49.53/32.15 inference(modus_ponens,[status(thm)],[7255, 7248])).
% 49.53/32.15 tff(7257,plain,
% 49.53/32.15 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p0, s5, c_owned)) | node63(c_p0, s5) | (~m_processor_v_snoop(c_p0, s5, c_shared)) | node64(c_p0, s5) | (~m_processor_v_master(c_p0, s5)) | node62(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p0, s5, c_owned)) | node63(c_p0, s5) | (~m_processor_v_snoop(c_p0, s5, c_shared)) | node64(c_p0, s5) | (~m_processor_v_master(c_p0, s5)) | node62(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared))),
% 49.53/32.15 inference(rewrite,[status(thm)],[])).
% 49.53/32.15 tff(7258,plain,
% 49.53/32.15 ((m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s5, c_shared)) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~m_processor_v_master(c_p0, s5)) | node62(c_p0, s5) | node63(c_p0, s5) | node64(c_p0, s5)) <=> ((~m_processor_v_state(c_p0, s5, c_owned)) | node63(c_p0, s5) | (~m_processor_v_snoop(c_p0, s5, c_shared)) | node64(c_p0, s5) | (~m_processor_v_master(c_p0, s5)) | node62(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared))),
% 49.53/32.15 inference(rewrite,[status(thm)],[])).
% 49.53/32.15 tff(7259,plain,
% 49.53/32.15 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s5, c_shared)) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~m_processor_v_master(c_p0, s5)) | node62(c_p0, s5) | node63(c_p0, s5) | node64(c_p0, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p0, s5, c_owned)) | node63(c_p0, s5) | (~m_processor_v_snoop(c_p0, s5, c_shared)) | node64(c_p0, s5) | (~m_processor_v_master(c_p0, s5)) | node62(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared)))),
% 49.53/32.15 inference(monotonicity,[status(thm)],[7258])).
% 49.53/32.15 tff(7260,plain,
% 49.53/32.15 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s5, c_shared)) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~m_processor_v_master(c_p0, s5)) | node62(c_p0, s5) | node63(c_p0, s5) | node64(c_p0, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p0, s5, c_owned)) | node63(c_p0, s5) | (~m_processor_v_snoop(c_p0, s5, c_shared)) | node64(c_p0, s5) | (~m_processor_v_master(c_p0, s5)) | node62(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared))),
% 49.53/32.15 inference(transitivity,[status(thm)],[7259, 7257])).
% 49.53/32.15 tff(7261,plain,
% 49.53/32.15 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s5, c_shared)) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~m_processor_v_master(c_p0, s5)) | node62(c_p0, s5) | node63(c_p0, s5) | node64(c_p0, s5))),
% 49.53/32.15 inference(quant_inst,[status(thm)],[])).
% 49.53/32.15 tff(7262,plain,
% 49.53/32.15 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p0, s5, c_owned)) | node63(c_p0, s5) | (~m_processor_v_snoop(c_p0, s5, c_shared)) | node64(c_p0, s5) | (~m_processor_v_master(c_p0, s5)) | node62(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared)),
% 49.53/32.15 inference(modus_ponens,[status(thm)],[7261, 7260])).
% 49.53/32.15 tff(7263,plain,
% 49.53/32.15 (node63(c_p0, s5) | (~m_processor_v_snoop(c_p0, s5, c_shared)) | node64(c_p0, s5) | (~m_processor_v_master(c_p0, s5)) | node62(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared)),
% 49.53/32.15 inference(unit_resolution,[status(thm)],[7262, 7256, 1060])).
% 49.53/32.15 tff(7264,plain,
% 49.53/32.15 (node64(c_p0, s5)),
% 49.53/32.15 inference(unit_resolution,[status(thm)],[7263, 7246, 7062, 7058, 7054, 7186])).
% 49.53/32.15 tff(7265,plain,
% 49.53/32.15 ($false),
% 49.53/32.15 inference(unit_resolution,[status(thm)],[7199, 4082, 7264, 7180])).
% 49.53/32.15 tff(7266,plain,((~m_processor_v_state(c_p0, s5, c_owned)) | m_main_v_CMD(s5, c_write_h_resp_h_shared) | m_main_v_CMD(s5, c_write_h_resp_h_invalid) | m_main_v_CMD(s5, c_write_h_invalid) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | m_processor_v_state(c_p0, s6, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.53/32.15 tff(7267,plain,
% 49.53/32.15 (m_main_v_CMD(s5, c_write_h_resp_h_shared)),
% 49.53/32.15 inference(unit_resolution,[status(thm)],[7266, 7047, 5, 1060, 7029, 6972])).
% 49.53/32.15 tff(7268,plain,
% 49.53/32.15 (((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s5)) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | m_memory_v_CMD(c_m, s5, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s5)) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | m_memory_v_CMD(c_m, s5, c_write_h_resp_h_shared))),
% 49.53/32.15 inference(rewrite,[status(thm)],[])).
% 49.53/32.15 tff(7269,plain,
% 49.53/32.15 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s5)) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | m_memory_v_CMD(c_m, s5, c_write_h_resp_h_shared))),
% 49.53/32.15 inference(quant_inst,[status(thm)],[])).
% 49.53/32.15 tff(7270,plain,
% 49.53/32.15 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s5)) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | m_memory_v_CMD(c_m, s5, c_write_h_resp_h_shared)),
% 49.53/32.15 inference(modus_ponens,[status(thm)],[7269, 7268])).
% 49.53/32.15 tff(7271,plain,
% 49.53/32.15 ($false),
% 49.53/32.15 inference(unit_resolution,[status(thm)],[7270, 4207, 7267, 6954, 6950])).
% 49.53/32.15 tff(7272,plain,((~node30(c_m, s5)) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_state(c_p0, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 49.53/32.15 tff(7273,plain,
% 49.53/32.15 (~node30(c_m, s5)),
% 49.53/32.15 inference(unit_resolution,[status(thm)],[7272, 6932, 5])).
% 49.53/32.15 tff(7274,plain,
% 49.53/32.15 (~node32(c_p0, s5, s6)),
% 49.53/32.15 inference(unit_resolution,[status(thm)],[6980, 6932, 5])).
% 49.53/32.15 tff(7275,plain,
% 49.53/32.15 (~m_processor_v_abort(c_p0, s5)),
% 49.53/32.15 inference(unit_resolution,[status(thm)],[951, 7274])).
% 49.53/32.15 tff(7276,assumption,(~node60(c_p0, s5)), introduced(assumption)).
% 49.53/32.15 tff(7277,plain,
% 49.53/32.15 (((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p0, s5) | node60(c_p0, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p0, s5) | node60(c_p0, s5))),
% 49.53/32.15 inference(rewrite,[status(thm)],[])).
% 49.53/32.15 tff(7278,plain,
% 49.53/32.15 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p0, s5) | node60(c_p0, s5))),
% 49.53/32.15 inference(quant_inst,[status(thm)],[])).
% 49.53/32.15 tff(7279,plain,
% 49.53/32.15 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p0, s5) | node60(c_p0, s5)),
% 49.53/32.15 inference(modus_ponens,[status(thm)],[7278, 7277])).
% 49.53/32.15 tff(7280,plain,
% 49.53/32.15 ($false),
% 49.53/32.15 inference(unit_resolution,[status(thm)],[7279, 693, 835, 7276])).
% 49.53/32.15 tff(7281,plain,(m_processor_v_abort(c_p0, s5) | node60(c_p0, s5)), inference(lemma,lemma(discharge,[]))).
% 49.53/32.15 tff(7282,plain,
% 49.53/32.15 (node60(c_p0, s5)),
% 49.53/32.15 inference(unit_resolution,[status(thm)],[7281, 7275])).
% 49.53/32.15 tff(7283,assumption,(node60(c_p0, s5)), introduced(assumption)).
% 49.53/32.15 tff(7284,assumption,(m_processor_v_REPLY_h_STALL(c_p0, s5)), introduced(assumption)).
% 49.53/32.15 tff(7285,plain,
% 49.53/32.15 (((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p0, s5)) | (~node60(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p0, s5)) | (~node60(c_p0, s5)))),
% 49.53/32.15 inference(rewrite,[status(thm)],[])).
% 49.53/32.15 tff(7286,plain,
% 49.53/32.15 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p0, s5)) | (~node60(c_p0, s5)))),
% 49.53/32.15 inference(quant_inst,[status(thm)],[])).
% 49.53/32.15 tff(7287,plain,
% 49.53/32.15 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p0, s5)) | (~node60(c_p0, s5))),
% 49.53/32.15 inference(modus_ponens,[status(thm)],[7286, 7285])).
% 49.53/32.15 tff(7288,plain,
% 49.53/32.15 ($false),
% 49.53/32.15 inference(unit_resolution,[status(thm)],[7287, 1363, 7284, 7283])).
% 49.53/32.15 tff(7289,plain,((~node60(c_p0, s5)) | (~m_processor_v_REPLY_h_STALL(c_p0, s5))), inference(lemma,lemma(discharge,[]))).
% 49.53/32.15 tff(7290,plain,
% 49.53/32.15 (~m_processor_v_REPLY_h_STALL(c_p0, s5)),
% 49.53/32.15 inference(unit_resolution,[status(thm)],[7289, 7282])).
% 49.53/32.15 tff(7291,assumption,(~m_processor_v_REPLY_h_STALL(c_p0, s5)), introduced(assumption)).
% 49.53/32.15 tff(7292,assumption,(m_main_v_REPLY_h_STALL(s5)), introduced(assumption)).
% 49.53/32.15 tff(7293,plain,
% 49.53/32.15 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | ((~m_main_v_REPLY_h_STALL(s5)) | m_processor_v_REPLY_h_STALL(c_p0, s5))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | (~m_main_v_REPLY_h_STALL(s5)) | m_processor_v_REPLY_h_STALL(c_p0, s5))),
% 49.53/32.15 inference(rewrite,[status(thm)],[])).
% 49.53/32.15 tff(7294,plain,
% 49.53/32.15 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | ((~m_main_v_REPLY_h_STALL(s5)) | m_processor_v_REPLY_h_STALL(c_p0, s5))),
% 49.53/32.15 inference(quant_inst,[status(thm)],[])).
% 49.53/32.15 tff(7295,plain,
% 49.53/32.15 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | (~m_main_v_REPLY_h_STALL(s5)) | m_processor_v_REPLY_h_STALL(c_p0, s5)),
% 49.53/32.15 inference(modus_ponens,[status(thm)],[7294, 7293])).
% 49.53/32.15 tff(7296,plain,
% 49.53/32.15 ($false),
% 49.53/32.15 inference(unit_resolution,[status(thm)],[7295, 1381, 7292, 7291])).
% 49.53/32.15 tff(7297,plain,(m_processor_v_REPLY_h_STALL(c_p0, s5) | (~m_main_v_REPLY_h_STALL(s5))), inference(lemma,lemma(discharge,[]))).
% 49.53/32.15 tff(7298,plain,
% 49.53/32.15 (~m_main_v_REPLY_h_STALL(s5)),
% 49.53/32.15 inference(unit_resolution,[status(thm)],[7297, 7290])).
% 49.53/32.15 tff(7299,assumption,(~node7(s5)), introduced(assumption)).
% 49.53/32.15 tff(7300,assumption,(~m_main_v_REPLY_h_STALL(s5)), introduced(assumption)).
% 49.53/32.15 tff(7301,plain,
% 49.53/32.15 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | (m_main_v_REPLY_h_STALL(s5) | node7(s5))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | m_main_v_REPLY_h_STALL(s5) | node7(s5))),
% 49.53/32.15 inference(rewrite,[status(thm)],[])).
% 49.53/32.15 tff(7302,plain,
% 49.53/32.15 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | (m_main_v_REPLY_h_STALL(s5) | node7(s5))),
% 49.53/32.15 inference(quant_inst,[status(thm)],[])).
% 49.53/32.15 tff(7303,plain,
% 49.53/32.15 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | m_main_v_REPLY_h_STALL(s5) | node7(s5)),
% 49.53/32.15 inference(modus_ponens,[status(thm)],[7302, 7301])).
% 49.53/32.15 tff(7304,plain,
% 49.53/32.15 ($false),
% 49.53/32.15 inference(unit_resolution,[status(thm)],[7303, 3905, 7300, 7299])).
% 49.53/32.15 tff(7305,plain,(node7(s5) | m_main_v_REPLY_h_STALL(s5)), inference(lemma,lemma(discharge,[]))).
% 49.53/32.15 tff(7306,plain,
% 49.53/32.15 (node7(s5)),
% 49.53/32.15 inference(unit_resolution,[status(thm)],[7305, 7298])).
% 49.53/32.15 tff(7307,assumption,(m_memory_v_reply_h_stall(c_m, s5)), introduced(assumption)).
% 49.53/32.15 tff(7308,assumption,(node7(s5)), introduced(assumption)).
% 49.53/32.15 tff(7309,plain,
% 49.53/32.15 (((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | ((~node7(s5)) | (~m_memory_v_reply_h_stall(c_m, s5)))) <=> ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | (~node7(s5)) | (~m_memory_v_reply_h_stall(c_m, s5)))),
% 49.53/32.15 inference(rewrite,[status(thm)],[])).
% 49.53/32.15 tff(7310,plain,
% 49.53/32.15 ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | ((~node7(s5)) | (~m_memory_v_reply_h_stall(c_m, s5)))),
% 49.53/32.15 inference(quant_inst,[status(thm)],[])).
% 49.53/32.15 tff(7311,plain,
% 49.53/32.15 ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | (~node7(s5)) | (~m_memory_v_reply_h_stall(c_m, s5))),
% 49.53/32.15 inference(modus_ponens,[status(thm)],[7310, 7309])).
% 49.53/32.15 tff(7312,plain,
% 49.53/32.15 ($false),
% 49.53/32.15 inference(unit_resolution,[status(thm)],[7311, 3923, 7308, 7307])).
% 49.53/32.15 tff(7313,plain,((~m_memory_v_reply_h_stall(c_m, s5)) | (~node7(s5))), inference(lemma,lemma(discharge,[]))).
% 49.53/32.15 tff(7314,plain,
% 49.53/32.15 (~m_memory_v_reply_h_stall(c_m, s5)),
% 49.53/32.15 inference(unit_resolution,[status(thm)],[7313, 7306])).
% 49.53/32.15 tff(7315,assumption,(~node30(c_m, s5)), introduced(assumption)).
% 49.53/32.15 tff(7316,assumption,(m_memory_v_busy(c_m, s5)), introduced(assumption)).
% 49.53/32.15 tff(7317,assumption,(~m_memory_v_reply_h_stall(c_m, s5)), introduced(assumption)).
% 49.53/32.15 tff(7318,plain,
% 49.53/32.15 (((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | ((~m_memory_v_busy(c_m, s5)) | node30(c_m, s5) | m_memory_v_reply_h_stall(c_m, s5))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | (~m_memory_v_busy(c_m, s5)) | node30(c_m, s5) | m_memory_v_reply_h_stall(c_m, s5))),
% 49.53/32.15 inference(rewrite,[status(thm)],[])).
% 49.53/32.15 tff(7319,plain,
% 49.53/32.15 ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | ((~m_memory_v_busy(c_m, s5)) | node30(c_m, s5) | m_memory_v_reply_h_stall(c_m, s5))),
% 49.53/32.15 inference(quant_inst,[status(thm)],[])).
% 49.53/32.15 tff(7320,plain,
% 49.53/32.15 ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | (~m_memory_v_busy(c_m, s5)) | node30(c_m, s5) | m_memory_v_reply_h_stall(c_m, s5)),
% 49.53/32.15 inference(modus_ponens,[status(thm)],[7319, 7318])).
% 49.53/32.15 tff(7321,plain,
% 49.53/32.15 ($false),
% 49.53/32.15 inference(unit_resolution,[status(thm)],[7320, 4819, 7317, 7316, 7315])).
% 49.53/32.15 tff(7322,plain,((~m_memory_v_busy(c_m, s5)) | m_memory_v_reply_h_stall(c_m, s5) | node30(c_m, s5)), inference(lemma,lemma(discharge,[]))).
% 49.53/32.15 tff(7323,plain,
% 49.53/32.15 (~m_memory_v_busy(c_m, s5)),
% 49.53/32.15 inference(unit_resolution,[status(thm)],[7322, 7314, 7273])).
% 49.53/32.15 tff(7324,assumption,(~m_memory_v_busy(c_m, s5)), introduced(assumption)).
% 49.53/32.15 tff(7325,assumption,(node19(c_m, s4)), introduced(assumption)).
% 49.53/32.15 tff(7326,plain,
% 49.53/32.15 (((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | (m_memory_v_master(c_m, s4) | (~node19(c_m, s4)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | m_memory_v_master(c_m, s4) | (~node19(c_m, s4)))),
% 49.53/32.15 inference(rewrite,[status(thm)],[])).
% 49.53/32.15 tff(7327,plain,
% 49.53/32.15 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | (m_memory_v_master(c_m, s4) | (~node19(c_m, s4)))),
% 49.53/32.15 inference(quant_inst,[status(thm)],[])).
% 49.53/32.15 tff(7328,plain,
% 49.53/32.15 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | m_memory_v_master(c_m, s4) | (~node19(c_m, s4))),
% 49.53/32.15 inference(modus_ponens,[status(thm)],[7327, 7326])).
% 49.53/32.15 tff(7329,plain,
% 49.53/32.15 ($false),
% 49.53/32.15 inference(unit_resolution,[status(thm)],[7328, 4477, 1297, 7325])).
% 49.53/32.15 tff(7330,plain,((~node19(c_m, s4)) | m_memory_v_master(c_m, s4)), inference(lemma,lemma(discharge,[]))).
% 49.53/32.15 tff(7331,plain,
% 49.53/32.15 (~node19(c_m, s4)),
% 49.53/32.15 inference(unit_resolution,[status(thm)],[7330, 1297])).
% 49.53/32.15 tff(7332,assumption,(m_memory_v_busy(c_m, s4)), introduced(assumption)).
% 49.53/32.15 tff(7333,assumption,(~node21(c_m, s4)), introduced(assumption)).
% 49.53/32.15 tff(7334,assumption,(~node19(c_m, s4)), introduced(assumption)).
% 49.53/32.15 tff(7335,assumption,(node22(c_m, s4, s5)), introduced(assumption)).
% 49.53/32.15 tff(7336,plain,
% 49.53/32.15 (^[Y: $i, I0: $i, X: $i] : refl(((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y))) <=> ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y))))),
% 49.53/32.15 inference(bind,[status(th)],[])).
% 49.53/32.15 tff(7337,plain,
% 49.53/32.15 (![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))),
% 49.53/32.15 inference(quant_intro,[status(thm)],[7336])).
% 49.53/32.15 tff(7338,plain,
% 49.53/32.15 (![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))),
% 49.53/32.15 inference(rewrite,[status(thm)],[])).
% 49.53/32.15 tff(7339,plain,
% 49.53/32.15 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(rewrite((m_memory_v_busy(I0, Y) | (~m_memory_v_busy(I0, X))) <=> ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))), (((m_memory_v_busy(I0, Y) | (~m_memory_v_busy(I0, X))) | (~node22(I0, X, Y))) <=> (((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y))))), rewrite((((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y))) <=> ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))), (((m_memory_v_busy(I0, Y) | (~m_memory_v_busy(I0, X))) | (~node22(I0, X, Y))) <=> ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))))),
% 49.53/32.15 inference(bind,[status(th)],[])).
% 49.53/32.15 tff(7340,plain,
% 49.53/32.15 (![Y: $i, I0: $i, X: $i] : ((m_memory_v_busy(I0, Y) | (~m_memory_v_busy(I0, X))) | (~node22(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))),
% 49.53/32.15 inference(quant_intro,[status(thm)],[7339])).
% 49.53/32.15 tff(7341,axiom,(![Y: $i, I0: $i, X: $i] : ((m_memory_v_busy(I0, Y) | (~m_memory_v_busy(I0, X))) | (~node22(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_47')).
% 49.53/32.15 tff(7342,plain,
% 49.53/32.15 (![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))),
% 49.53/32.15 inference(modus_ponens,[status(thm)],[7341, 7340])).
% 49.53/32.15 tff(7343,plain,
% 49.53/32.15 (![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))),
% 49.53/32.15 inference(modus_ponens,[status(thm)],[7342, 7338])).
% 49.53/32.15 tff(7344,plain,(
% 49.53/32.15 ![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))),
% 49.53/32.15 inference(skolemize,[status(sab)],[7343])).
% 49.53/32.15 tff(7345,plain,
% 49.53/32.15 (![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))),
% 49.53/32.15 inference(modus_ponens,[status(thm)],[7344, 7337])).
% 49.53/32.15 tff(7346,plain,
% 49.53/32.15 (((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))) | ((~m_memory_v_busy(c_m, s4)) | m_memory_v_busy(c_m, s5) | (~node22(c_m, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))) | (~m_memory_v_busy(c_m, s4)) | m_memory_v_busy(c_m, s5) | (~node22(c_m, s4, s5)))),
% 49.53/32.15 inference(rewrite,[status(thm)],[])).
% 49.53/32.15 tff(7347,plain,
% 49.53/32.15 ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))) | ((~m_memory_v_busy(c_m, s4)) | m_memory_v_busy(c_m, s5) | (~node22(c_m, s4, s5)))),
% 49.53/32.15 inference(quant_inst,[status(thm)],[])).
% 49.53/32.15 tff(7348,plain,
% 49.53/32.15 ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))) | (~m_memory_v_busy(c_m, s4)) | m_memory_v_busy(c_m, s5) | (~node22(c_m, s4, s5))),
% 49.53/32.15 inference(modus_ponens,[status(thm)],[7347, 7346])).
% 49.53/32.15 tff(7349,plain,
% 49.53/32.15 ($false),
% 49.53/32.15 inference(unit_resolution,[status(thm)],[7348, 7345, 7332, 7335, 7324])).
% 49.53/32.15 tff(7350,plain,((~node22(c_m, s4, s5)) | (~m_memory_v_busy(c_m, s4)) | m_memory_v_busy(c_m, s5)), inference(lemma,lemma(discharge,[]))).
% 49.53/32.15 tff(7351,plain,
% 49.53/32.15 (~node22(c_m, s4, s5)),
% 49.53/32.15 inference(unit_resolution,[status(thm)],[7350, 7324, 7332])).
% 49.53/32.15 tff(7352,plain,
% 49.53/32.15 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | ((~trans(s4, s5)) | node23(c_m, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | (~trans(s4, s5)) | node23(c_m, s4, s5))),
% 49.53/32.15 inference(rewrite,[status(thm)],[])).
% 49.53/32.15 tff(7353,plain,
% 49.53/32.15 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | ((~trans(s4, s5)) | node23(c_m, s4, s5))),
% 49.53/32.15 inference(quant_inst,[status(thm)],[])).
% 49.53/32.15 tff(7354,plain,
% 49.53/32.15 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | (~trans(s4, s5)) | node23(c_m, s4, s5)),
% 49.53/32.15 inference(modus_ponens,[status(thm)],[7353, 7352])).
% 49.53/32.15 tff(7355,plain,
% 49.53/32.15 (node23(c_m, s4, s5)),
% 49.53/32.15 inference(unit_resolution,[status(thm)],[7354, 4490, 1112])).
% 49.53/32.15 tff(7356,plain,
% 49.53/32.15 (^[Y: $i, I0: $i, X: $i] : refl((node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X)) <=> (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X)))),
% 49.53/32.15 inference(bind,[status(th)],[])).
% 49.53/32.15 tff(7357,plain,
% 49.53/32.15 (![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X)) <=> ![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))),
% 49.53/32.15 inference(quant_intro,[status(thm)],[7356])).
% 49.53/32.15 tff(7358,plain,
% 49.53/32.15 (![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X)) <=> ![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))),
% 49.53/32.15 inference(rewrite,[status(thm)],[])).
% 49.53/32.15 tff(7359,plain,
% 49.53/32.15 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(rewrite(((m_memory_v_abort(I0, X) | node19(I0, X)) | node21(I0, X)) <=> (node19(I0, X) | node21(I0, X) | m_memory_v_abort(I0, X))), ((((m_memory_v_abort(I0, X) | node19(I0, X)) | node21(I0, X)) | node22(I0, X, Y)) <=> ((node19(I0, X) | node21(I0, X) | m_memory_v_abort(I0, X)) | node22(I0, X, Y)))), rewrite(((node19(I0, X) | node21(I0, X) | m_memory_v_abort(I0, X)) | node22(I0, X, Y)) <=> (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | m_memory_v_abort(I0, X))), ((((m_memory_v_abort(I0, X) | node19(I0, X)) | node21(I0, X)) | node22(I0, X, Y)) <=> (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | m_memory_v_abort(I0, X)))), (((((m_memory_v_abort(I0, X) | node19(I0, X)) | node21(I0, X)) | node22(I0, X, Y)) | (~node23(I0, X, Y))) <=> ((node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | m_memory_v_abort(I0, X)) | (~node23(I0, X, Y))))), rewrite(((node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | m_memory_v_abort(I0, X)) | (~node23(I0, X, Y))) <=> (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))), (((((m_memory_v_abort(I0, X) | node19(I0, X)) | node21(I0, X)) | node22(I0, X, Y)) | (~node23(I0, X, Y))) <=> (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))))),
% 49.53/32.16 inference(bind,[status(th)],[])).
% 49.53/32.16 tff(7360,plain,
% 49.53/32.16 (![Y: $i, I0: $i, X: $i] : ((((m_memory_v_abort(I0, X) | node19(I0, X)) | node21(I0, X)) | node22(I0, X, Y)) | (~node23(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))),
% 49.53/32.16 inference(quant_intro,[status(thm)],[7359])).
% 49.53/32.16 tff(7361,axiom,(![Y: $i, I0: $i, X: $i] : ((((m_memory_v_abort(I0, X) | node19(I0, X)) | node21(I0, X)) | node22(I0, X, Y)) | (~node23(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_52')).
% 49.53/32.16 tff(7362,plain,
% 49.53/32.16 (![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))),
% 49.53/32.16 inference(modus_ponens,[status(thm)],[7361, 7360])).
% 49.53/32.16 tff(7363,plain,
% 49.53/32.16 (![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))),
% 49.53/32.16 inference(modus_ponens,[status(thm)],[7362, 7358])).
% 49.53/32.16 tff(7364,plain,(
% 49.53/32.16 ![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))),
% 49.53/32.16 inference(skolemize,[status(sab)],[7363])).
% 49.53/32.16 tff(7365,plain,
% 49.53/32.16 (![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))),
% 49.53/32.16 inference(modus_ponens,[status(thm)],[7364, 7357])).
% 49.53/32.16 tff(7366,plain,
% 49.53/32.16 (((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | ((~node23(c_m, s4, s5)) | node21(c_m, s4) | node22(c_m, s4, s5) | node19(c_m, s4) | m_memory_v_abort(c_m, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (~node23(c_m, s4, s5)) | node21(c_m, s4) | node22(c_m, s4, s5) | node19(c_m, s4) | m_memory_v_abort(c_m, s4))),
% 49.53/32.16 inference(rewrite,[status(thm)],[])).
% 49.53/32.16 tff(7367,plain,
% 49.53/32.16 ((node19(c_m, s4) | node21(c_m, s4) | node22(c_m, s4, s5) | (~node23(c_m, s4, s5)) | m_memory_v_abort(c_m, s4)) <=> ((~node23(c_m, s4, s5)) | node21(c_m, s4) | node22(c_m, s4, s5) | node19(c_m, s4) | m_memory_v_abort(c_m, s4))),
% 49.53/32.16 inference(rewrite,[status(thm)],[])).
% 49.53/32.16 tff(7368,plain,
% 49.53/32.16 (((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (node19(c_m, s4) | node21(c_m, s4) | node22(c_m, s4, s5) | (~node23(c_m, s4, s5)) | m_memory_v_abort(c_m, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | ((~node23(c_m, s4, s5)) | node21(c_m, s4) | node22(c_m, s4, s5) | node19(c_m, s4) | m_memory_v_abort(c_m, s4)))),
% 49.53/32.16 inference(monotonicity,[status(thm)],[7367])).
% 49.53/32.16 tff(7369,plain,
% 49.53/32.16 (((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (node19(c_m, s4) | node21(c_m, s4) | node22(c_m, s4, s5) | (~node23(c_m, s4, s5)) | m_memory_v_abort(c_m, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (~node23(c_m, s4, s5)) | node21(c_m, s4) | node22(c_m, s4, s5) | node19(c_m, s4) | m_memory_v_abort(c_m, s4))),
% 49.53/32.16 inference(transitivity,[status(thm)],[7368, 7366])).
% 49.53/32.16 tff(7370,plain,
% 49.53/32.16 ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (node19(c_m, s4) | node21(c_m, s4) | node22(c_m, s4, s5) | (~node23(c_m, s4, s5)) | m_memory_v_abort(c_m, s4))),
% 49.53/32.16 inference(quant_inst,[status(thm)],[])).
% 49.53/32.16 tff(7371,plain,
% 49.53/32.16 ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (~node23(c_m, s4, s5)) | node21(c_m, s4) | node22(c_m, s4, s5) | node19(c_m, s4) | m_memory_v_abort(c_m, s4)),
% 49.53/32.16 inference(modus_ponens,[status(thm)],[7370, 7369])).
% 49.53/32.16 tff(7372,plain,
% 49.53/32.16 (node21(c_m, s4) | node22(c_m, s4, s5) | node19(c_m, s4) | m_memory_v_abort(c_m, s4)),
% 49.53/32.16 inference(unit_resolution,[status(thm)],[7371, 7365, 7355])).
% 49.53/32.16 tff(7373,plain,
% 49.53/32.16 (m_memory_v_abort(c_m, s4)),
% 49.53/32.16 inference(unit_resolution,[status(thm)],[7372, 7351, 7334, 7333])).
% 49.53/32.16 tff(7374,plain,
% 49.53/32.16 (^[Y: $i, I0: $i, X: $i] : refl((node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X))) <=> (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X))))),
% 49.53/32.16 inference(bind,[status(th)],[])).
% 49.53/32.16 tff(7375,plain,
% 49.53/32.16 (![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X))) <=> ![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))),
% 49.53/32.16 inference(quant_intro,[status(thm)],[7374])).
% 49.53/32.16 tff(7376,plain,
% 49.53/32.16 (![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X))) <=> ![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))),
% 49.53/32.16 inference(rewrite,[status(thm)],[])).
% 49.53/32.16 tff(7377,plain,
% 49.53/32.16 (^[Y: $i, I0: $i, X: $i] : rewrite((((~m_memory_v_abort(I0, X)) | node18(I0, X, Y)) | (~node23(I0, X, Y))) <=> (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X))))),
% 49.53/32.16 inference(bind,[status(th)],[])).
% 49.53/32.16 tff(7378,plain,
% 49.53/32.16 (![Y: $i, I0: $i, X: $i] : (((~m_memory_v_abort(I0, X)) | node18(I0, X, Y)) | (~node23(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))),
% 49.53/32.16 inference(quant_intro,[status(thm)],[7377])).
% 49.53/32.16 tff(7379,axiom,(![Y: $i, I0: $i, X: $i] : (((~m_memory_v_abort(I0, X)) | node18(I0, X, Y)) | (~node23(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_49')).
% 49.53/32.16 tff(7380,plain,
% 49.53/32.16 (![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))),
% 49.53/32.16 inference(modus_ponens,[status(thm)],[7379, 7378])).
% 49.53/32.16 tff(7381,plain,
% 49.53/32.16 (![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))),
% 49.53/32.16 inference(modus_ponens,[status(thm)],[7380, 7376])).
% 49.53/32.16 tff(7382,plain,(
% 49.53/32.16 ![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))),
% 49.53/32.16 inference(skolemize,[status(sab)],[7381])).
% 49.53/32.16 tff(7383,plain,
% 49.53/32.16 (![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))),
% 49.53/32.16 inference(modus_ponens,[status(thm)],[7382, 7375])).
% 49.53/32.16 tff(7384,plain,
% 49.53/32.16 (((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | ((~node23(c_m, s4, s5)) | node18(c_m, s4, s5) | (~m_memory_v_abort(c_m, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (~node23(c_m, s4, s5)) | node18(c_m, s4, s5) | (~m_memory_v_abort(c_m, s4)))),
% 49.53/32.16 inference(rewrite,[status(thm)],[])).
% 49.53/32.16 tff(7385,plain,
% 49.53/32.16 ((node18(c_m, s4, s5) | (~node23(c_m, s4, s5)) | (~m_memory_v_abort(c_m, s4))) <=> ((~node23(c_m, s4, s5)) | node18(c_m, s4, s5) | (~m_memory_v_abort(c_m, s4)))),
% 49.53/32.16 inference(rewrite,[status(thm)],[])).
% 49.53/32.16 tff(7386,plain,
% 49.53/32.16 (((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (node18(c_m, s4, s5) | (~node23(c_m, s4, s5)) | (~m_memory_v_abort(c_m, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | ((~node23(c_m, s4, s5)) | node18(c_m, s4, s5) | (~m_memory_v_abort(c_m, s4))))),
% 49.53/32.16 inference(monotonicity,[status(thm)],[7385])).
% 49.53/32.16 tff(7387,plain,
% 49.53/32.16 (((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (node18(c_m, s4, s5) | (~node23(c_m, s4, s5)) | (~m_memory_v_abort(c_m, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (~node23(c_m, s4, s5)) | node18(c_m, s4, s5) | (~m_memory_v_abort(c_m, s4)))),
% 49.53/32.16 inference(transitivity,[status(thm)],[7386, 7384])).
% 49.53/32.16 tff(7388,plain,
% 49.53/32.16 ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (node18(c_m, s4, s5) | (~node23(c_m, s4, s5)) | (~m_memory_v_abort(c_m, s4)))),
% 49.53/32.16 inference(quant_inst,[status(thm)],[])).
% 49.53/32.16 tff(7389,plain,
% 49.53/32.16 ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (~node23(c_m, s4, s5)) | node18(c_m, s4, s5) | (~m_memory_v_abort(c_m, s4))),
% 49.53/32.16 inference(modus_ponens,[status(thm)],[7388, 7387])).
% 49.53/32.16 tff(7390,plain,
% 49.53/32.16 (node18(c_m, s4, s5) | (~m_memory_v_abort(c_m, s4))),
% 49.53/32.16 inference(unit_resolution,[status(thm)],[7389, 7383, 7355])).
% 49.53/32.16 tff(7391,plain,
% 49.53/32.16 (node18(c_m, s4, s5)),
% 49.53/32.16 inference(unit_resolution,[status(thm)],[7390, 7373])).
% 49.53/32.16 tff(7392,plain,
% 49.53/32.16 (^[Y: $i, I0: $i, X: $i] : refl(((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y)) <=> ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y)))),
% 49.53/32.16 inference(bind,[status(th)],[])).
% 49.53/32.16 tff(7393,plain,
% 49.53/32.16 (![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y)) <=> ![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))),
% 49.53/32.16 inference(quant_intro,[status(thm)],[7392])).
% 49.53/32.16 tff(7394,plain,
% 49.53/32.16 (![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y)) <=> ![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))),
% 49.53/32.16 inference(rewrite,[status(thm)],[])).
% 49.53/32.16 tff(7395,plain,
% 49.53/32.16 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(rewrite((m_memory_v_busy(I0, Y) | (~m_memory_v_busy(I0, X))) <=> ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))), (((m_memory_v_busy(I0, Y) | (~m_memory_v_busy(I0, X))) | (~node18(I0, X, Y))) <=> (((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y)) | (~node18(I0, X, Y))))), rewrite((((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y)) | (~node18(I0, X, Y))) <=> ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))), (((m_memory_v_busy(I0, Y) | (~m_memory_v_busy(I0, X))) | (~node18(I0, X, Y))) <=> ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))))),
% 49.53/32.16 inference(bind,[status(th)],[])).
% 49.53/32.16 tff(7396,plain,
% 49.53/32.16 (![Y: $i, I0: $i, X: $i] : ((m_memory_v_busy(I0, Y) | (~m_memory_v_busy(I0, X))) | (~node18(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))),
% 49.53/32.16 inference(quant_intro,[status(thm)],[7395])).
% 49.53/32.16 tff(7397,axiom,(![Y: $i, I0: $i, X: $i] : ((m_memory_v_busy(I0, Y) | (~m_memory_v_busy(I0, X))) | (~node18(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_39')).
% 49.53/32.16 tff(7398,plain,
% 49.53/32.16 (![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))),
% 49.53/32.16 inference(modus_ponens,[status(thm)],[7397, 7396])).
% 49.53/32.16 tff(7399,plain,
% 49.53/32.16 (![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))),
% 49.53/32.16 inference(modus_ponens,[status(thm)],[7398, 7394])).
% 49.53/32.16 tff(7400,plain,(
% 49.53/32.16 ![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))),
% 49.53/32.16 inference(skolemize,[status(sab)],[7399])).
% 49.53/32.16 tff(7401,plain,
% 49.53/32.16 (![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))),
% 49.53/32.16 inference(modus_ponens,[status(thm)],[7400, 7393])).
% 49.53/32.16 tff(7402,plain,
% 49.53/32.16 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | ((~m_memory_v_busy(c_m, s4)) | m_memory_v_busy(c_m, s5) | (~node18(c_m, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | (~m_memory_v_busy(c_m, s4)) | m_memory_v_busy(c_m, s5) | (~node18(c_m, s4, s5)))),
% 49.53/32.16 inference(rewrite,[status(thm)],[])).
% 49.53/32.16 tff(7403,plain,
% 49.53/32.16 (((~node18(c_m, s4, s5)) | (~m_memory_v_busy(c_m, s4)) | m_memory_v_busy(c_m, s5)) <=> ((~m_memory_v_busy(c_m, s4)) | m_memory_v_busy(c_m, s5) | (~node18(c_m, s4, s5)))),
% 49.53/32.16 inference(rewrite,[status(thm)],[])).
% 49.53/32.16 tff(7404,plain,
% 49.53/32.16 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | ((~node18(c_m, s4, s5)) | (~m_memory_v_busy(c_m, s4)) | m_memory_v_busy(c_m, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | ((~m_memory_v_busy(c_m, s4)) | m_memory_v_busy(c_m, s5) | (~node18(c_m, s4, s5))))),
% 49.53/32.16 inference(monotonicity,[status(thm)],[7403])).
% 49.53/32.16 tff(7405,plain,
% 49.53/32.16 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | ((~node18(c_m, s4, s5)) | (~m_memory_v_busy(c_m, s4)) | m_memory_v_busy(c_m, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | (~m_memory_v_busy(c_m, s4)) | m_memory_v_busy(c_m, s5) | (~node18(c_m, s4, s5)))),
% 49.53/32.16 inference(transitivity,[status(thm)],[7404, 7402])).
% 49.53/32.16 tff(7406,plain,
% 49.53/32.16 ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | ((~node18(c_m, s4, s5)) | (~m_memory_v_busy(c_m, s4)) | m_memory_v_busy(c_m, s5))),
% 49.53/32.16 inference(quant_inst,[status(thm)],[])).
% 49.53/32.16 tff(7407,plain,
% 49.53/32.16 ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | (~m_memory_v_busy(c_m, s4)) | m_memory_v_busy(c_m, s5) | (~node18(c_m, s4, s5))),
% 49.53/32.16 inference(modus_ponens,[status(thm)],[7406, 7405])).
% 49.53/32.16 tff(7408,plain,
% 49.53/32.16 ($false),
% 49.53/32.16 inference(unit_resolution,[status(thm)],[7407, 7401, 7332, 7324, 7391])).
% 49.53/32.16 tff(7409,plain,(m_memory_v_busy(c_m, s5) | (~m_memory_v_busy(c_m, s4)) | node19(c_m, s4) | node21(c_m, s4)), inference(lemma,lemma(discharge,[]))).
% 49.53/32.16 tff(7410,plain,
% 49.53/32.16 (node21(c_m, s4)),
% 49.53/32.16 inference(unit_resolution,[status(thm)],[7409, 7324, 7331, 7332])).
% 49.53/32.16 tff(7411,assumption,(node20(c_m, s4)), introduced(assumption)).
% 49.53/32.16 tff(7412,plain,
% 49.53/32.16 (((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))) | ((~node20(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))) | (~node20(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_read_h_owned)))),
% 49.53/32.16 inference(rewrite,[status(thm)],[])).
% 49.53/32.16 tff(7413,plain,
% 49.53/32.16 ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))) | ((~node20(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_read_h_owned)))),
% 49.53/32.16 inference(quant_inst,[status(thm)],[])).
% 49.53/32.16 tff(7414,plain,
% 49.53/32.16 ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))) | (~node20(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_read_h_owned))),
% 49.53/32.16 inference(modus_ponens,[status(thm)],[7413, 7412])).
% 49.53/32.16 tff(7415,plain,
% 49.53/32.16 (~m_memory_v_CMD(c_m, s4, c_read_h_owned)),
% 49.53/32.16 inference(unit_resolution,[status(thm)],[7414, 4225, 7411])).
% 49.53/32.16 tff(7416,plain,
% 49.53/32.16 (((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))) | ((~node20(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))) | (~node20(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_read_h_shared)))),
% 49.53/32.16 inference(rewrite,[status(thm)],[])).
% 49.53/32.16 tff(7417,plain,
% 49.53/32.16 ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))) | ((~node20(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_read_h_shared)))),
% 49.53/32.16 inference(quant_inst,[status(thm)],[])).
% 49.53/32.16 tff(7418,plain,
% 49.53/32.16 ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))) | (~node20(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_read_h_shared))),
% 49.53/32.16 inference(modus_ponens,[status(thm)],[7417, 7416])).
% 49.53/32.16 tff(7419,plain,
% 49.53/32.16 (~m_memory_v_CMD(c_m, s4, c_read_h_shared)),
% 49.53/32.16 inference(unit_resolution,[status(thm)],[7418, 4179, 7411])).
% 49.53/32.16 tff(7420,assumption,(node21(c_m, s4)), introduced(assumption)).
% 49.53/32.16 tff(7421,plain,
% 49.53/32.16 (^[I0: $i, X: $i] : refl((m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X))) <=> (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X))))),
% 49.53/32.16 inference(bind,[status(th)],[])).
% 49.53/32.16 tff(7422,plain,
% 49.53/32.16 (![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))),
% 49.53/32.16 inference(quant_intro,[status(thm)],[7421])).
% 49.53/32.16 tff(7423,plain,
% 49.53/32.16 (![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))),
% 49.53/32.16 inference(rewrite,[status(thm)],[])).
% 49.53/32.16 tff(7424,plain,
% 49.53/32.16 (^[I0: $i, X: $i] : rewrite(((m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node21(I0, X))) <=> (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X))))),
% 49.53/32.16 inference(bind,[status(th)],[])).
% 49.53/32.16 tff(7425,plain,
% 49.53/32.16 (![I0: $i, X: $i] : ((m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node21(I0, X))) <=> ![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))),
% 49.53/32.16 inference(quant_intro,[status(thm)],[7424])).
% 49.53/32.16 tff(7426,axiom,(![I0: $i, X: $i] : ((m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node21(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_46')).
% 49.53/32.16 tff(7427,plain,
% 49.53/32.16 (![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))),
% 49.53/32.16 inference(modus_ponens,[status(thm)],[7426, 7425])).
% 49.53/32.16 tff(7428,plain,
% 49.53/32.16 (![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))),
% 49.53/32.16 inference(modus_ponens,[status(thm)],[7427, 7423])).
% 49.53/32.16 tff(7429,plain,(
% 49.53/32.16 ![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))),
% 49.53/32.16 inference(skolemize,[status(sab)],[7428])).
% 49.53/32.16 tff(7430,plain,
% 49.53/32.16 (![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))),
% 49.53/32.16 inference(modus_ponens,[status(thm)],[7429, 7422])).
% 49.53/32.16 tff(7431,plain,
% 49.53/32.16 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | (m_memory_v_CMD(c_m, s4, c_read_h_shared) | m_memory_v_CMD(c_m, s4, c_read_h_owned) | (~node21(c_m, s4)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | m_memory_v_CMD(c_m, s4, c_read_h_shared) | m_memory_v_CMD(c_m, s4, c_read_h_owned) | (~node21(c_m, s4)))),
% 49.53/32.16 inference(rewrite,[status(thm)],[])).
% 49.53/32.16 tff(7432,plain,
% 49.53/32.16 ((m_memory_v_CMD(c_m, s4, c_read_h_owned) | m_memory_v_CMD(c_m, s4, c_read_h_shared) | (~node21(c_m, s4))) <=> (m_memory_v_CMD(c_m, s4, c_read_h_shared) | m_memory_v_CMD(c_m, s4, c_read_h_owned) | (~node21(c_m, s4)))),
% 49.53/32.16 inference(rewrite,[status(thm)],[])).
% 49.53/32.16 tff(7433,plain,
% 49.53/32.16 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | (m_memory_v_CMD(c_m, s4, c_read_h_owned) | m_memory_v_CMD(c_m, s4, c_read_h_shared) | (~node21(c_m, s4)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | (m_memory_v_CMD(c_m, s4, c_read_h_shared) | m_memory_v_CMD(c_m, s4, c_read_h_owned) | (~node21(c_m, s4))))),
% 49.53/32.16 inference(monotonicity,[status(thm)],[7432])).
% 49.53/32.16 tff(7434,plain,
% 49.53/32.16 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | (m_memory_v_CMD(c_m, s4, c_read_h_owned) | m_memory_v_CMD(c_m, s4, c_read_h_shared) | (~node21(c_m, s4)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | m_memory_v_CMD(c_m, s4, c_read_h_shared) | m_memory_v_CMD(c_m, s4, c_read_h_owned) | (~node21(c_m, s4)))),
% 49.55/32.16 inference(transitivity,[status(thm)],[7433, 7431])).
% 49.55/32.16 tff(7435,plain,
% 49.55/32.16 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | (m_memory_v_CMD(c_m, s4, c_read_h_owned) | m_memory_v_CMD(c_m, s4, c_read_h_shared) | (~node21(c_m, s4)))),
% 49.55/32.16 inference(quant_inst,[status(thm)],[])).
% 49.55/32.16 tff(7436,plain,
% 49.55/32.16 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | m_memory_v_CMD(c_m, s4, c_read_h_shared) | m_memory_v_CMD(c_m, s4, c_read_h_owned) | (~node21(c_m, s4))),
% 49.55/32.16 inference(modus_ponens,[status(thm)],[7435, 7434])).
% 49.55/32.16 tff(7437,plain,
% 49.55/32.16 (m_memory_v_CMD(c_m, s4, c_read_h_shared) | m_memory_v_CMD(c_m, s4, c_read_h_owned)),
% 49.55/32.16 inference(unit_resolution,[status(thm)],[7436, 7430, 7420])).
% 49.55/32.16 tff(7438,plain,
% 49.55/32.16 ($false),
% 49.55/32.16 inference(unit_resolution,[status(thm)],[7437, 7419, 7415])).
% 49.55/32.16 tff(7439,plain,((~node20(c_m, s4)) | (~node21(c_m, s4))), inference(lemma,lemma(discharge,[]))).
% 49.55/32.16 tff(7440,plain,
% 49.55/32.16 (~node20(c_m, s4)),
% 49.55/32.16 inference(unit_resolution,[status(thm)],[7439, 7410])).
% 49.55/32.16 tff(7441,plain,
% 49.55/32.16 (((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | ((~node23(c_m, s4, s5)) | m_memory_v_master(c_m, s4) | node19(c_m, s4) | m_memory_v_abort(c_m, s4) | m_memory_v_busy(c_m, s5) | node20(c_m, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (~node23(c_m, s4, s5)) | m_memory_v_master(c_m, s4) | node19(c_m, s4) | m_memory_v_abort(c_m, s4) | m_memory_v_busy(c_m, s5) | node20(c_m, s4))),
% 49.55/32.16 inference(rewrite,[status(thm)],[])).
% 49.55/32.16 tff(7442,plain,
% 49.55/32.16 ((m_memory_v_master(c_m, s4) | node19(c_m, s4) | m_memory_v_busy(c_m, s5) | node20(c_m, s4) | (~node23(c_m, s4, s5)) | m_memory_v_abort(c_m, s4)) <=> ((~node23(c_m, s4, s5)) | m_memory_v_master(c_m, s4) | node19(c_m, s4) | m_memory_v_abort(c_m, s4) | m_memory_v_busy(c_m, s5) | node20(c_m, s4))),
% 49.55/32.16 inference(rewrite,[status(thm)],[])).
% 49.55/32.16 tff(7443,plain,
% 49.55/32.16 (((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s4) | node19(c_m, s4) | m_memory_v_busy(c_m, s5) | node20(c_m, s4) | (~node23(c_m, s4, s5)) | m_memory_v_abort(c_m, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | ((~node23(c_m, s4, s5)) | m_memory_v_master(c_m, s4) | node19(c_m, s4) | m_memory_v_abort(c_m, s4) | m_memory_v_busy(c_m, s5) | node20(c_m, s4)))),
% 49.55/32.16 inference(monotonicity,[status(thm)],[7442])).
% 49.55/32.16 tff(7444,plain,
% 49.55/32.16 (((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s4) | node19(c_m, s4) | m_memory_v_busy(c_m, s5) | node20(c_m, s4) | (~node23(c_m, s4, s5)) | m_memory_v_abort(c_m, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (~node23(c_m, s4, s5)) | m_memory_v_master(c_m, s4) | node19(c_m, s4) | m_memory_v_abort(c_m, s4) | m_memory_v_busy(c_m, s5) | node20(c_m, s4))),
% 49.55/32.16 inference(transitivity,[status(thm)],[7443, 7441])).
% 49.55/32.16 tff(7445,plain,
% 49.55/32.16 ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s4) | node19(c_m, s4) | m_memory_v_busy(c_m, s5) | node20(c_m, s4) | (~node23(c_m, s4, s5)) | m_memory_v_abort(c_m, s4))),
% 49.55/32.16 inference(quant_inst,[status(thm)],[])).
% 49.55/32.16 tff(7446,plain,
% 49.55/32.16 ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (~node23(c_m, s4, s5)) | m_memory_v_master(c_m, s4) | node19(c_m, s4) | m_memory_v_abort(c_m, s4) | m_memory_v_busy(c_m, s5) | node20(c_m, s4)),
% 49.55/32.16 inference(modus_ponens,[status(thm)],[7445, 7444])).
% 49.55/32.16 tff(7447,plain,
% 49.55/32.16 (m_memory_v_master(c_m, s4) | node19(c_m, s4) | m_memory_v_abort(c_m, s4) | m_memory_v_busy(c_m, s5) | node20(c_m, s4)),
% 49.55/32.16 inference(unit_resolution,[status(thm)],[7446, 4504, 7355])).
% 49.55/32.16 tff(7448,plain,
% 49.55/32.16 (m_memory_v_abort(c_m, s4)),
% 49.55/32.16 inference(unit_resolution,[status(thm)],[7447, 7440, 7331, 1297, 7324])).
% 49.55/32.16 tff(7449,plain,
% 49.55/32.16 (node18(c_m, s4, s5)),
% 49.55/32.16 inference(unit_resolution,[status(thm)],[7390, 7448])).
% 49.55/32.16 tff(7450,plain,
% 49.55/32.16 ($false),
% 49.55/32.16 inference(unit_resolution,[status(thm)],[7407, 7401, 7332, 7324, 7449])).
% 49.55/32.16 tff(7451,plain,(m_memory_v_busy(c_m, s5) | (~m_memory_v_busy(c_m, s4)) | m_memory_v_master(c_m, s4)), inference(lemma,lemma(discharge,[]))).
% 49.55/32.16 tff(7452,plain,
% 49.55/32.16 (~m_memory_v_busy(c_m, s4)),
% 49.55/32.16 inference(unit_resolution,[status(thm)],[7451, 7323, 6873])).
% 49.55/32.16 tff(7453,plain,
% 49.55/32.16 (~m_processor_v_master(c_p0, s4)),
% 49.55/32.16 inference(unit_resolution,[status(thm)],[1437, 6866])).
% 49.55/32.16 tff(7454,plain,
% 49.55/32.16 (m_processor_v_state(c_p0, s4, c_owned)),
% 49.55/32.16 inference(unit_resolution,[status(thm)],[1191, 7453, 6932])).
% 49.55/32.16 tff(7455,assumption,(~m_processor_v_snoop(c_p1, s3, c_invalid)), introduced(assumption)).
% 49.55/32.16 tff(7456,assumption,(~m_processor_v_snoop(c_p1, s2, c_invalid)), introduced(assumption)).
% 49.55/32.16 tff(7457,assumption,(node39(c_p1, s1, s2)), introduced(assumption)).
% 49.55/32.16 tff(7458,assumption,(~m_processor_v_snoop(c_p1, s1, c_invalid)), introduced(assumption)).
% 49.55/32.16 tff(7459,plain,
% 49.55/32.16 ((~![I0: $i] : m_processor_v_snoop(I0, s0, c_invalid)) | m_processor_v_snoop(c_p1, s0, c_invalid)),
% 49.55/32.16 inference(quant_inst,[status(thm)],[])).
% 49.55/32.16 tff(7460,plain,
% 49.55/32.16 (m_processor_v_snoop(c_p1, s0, c_invalid)),
% 49.55/32.16 inference(unit_resolution,[status(thm)],[7459, 4062])).
% 49.55/32.16 tff(7461,plain,
% 49.55/32.16 (^[V: $i, Y: $i, I0: $i, X: $i] : refl(((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y))) <=> ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y))))),
% 49.55/32.16 inference(bind,[status(th)],[])).
% 49.55/32.16 tff(7462,plain,
% 49.55/32.16 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))),
% 49.55/32.16 inference(quant_intro,[status(thm)],[7461])).
% 49.55/32.16 tff(7463,plain,
% 49.55/32.16 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))),
% 49.55/32.16 inference(rewrite,[status(thm)],[])).
% 49.55/32.16 tff(7464,plain,
% 49.55/32.16 (^[V: $i, Y: $i, I0: $i, X: $i] : trans(monotonicity(rewrite((m_processor_v_snoop(I0, Y, V) | (~m_processor_v_snoop(I0, X, V))) <=> ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))), (((m_processor_v_snoop(I0, Y, V) | (~m_processor_v_snoop(I0, X, V))) | (~node44(I0, X, Y))) <=> (((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y))))), rewrite((((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y))) <=> ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))), (((m_processor_v_snoop(I0, Y, V) | (~m_processor_v_snoop(I0, X, V))) | (~node44(I0, X, Y))) <=> ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))))),
% 49.55/32.16 inference(bind,[status(th)],[])).
% 49.55/32.16 tff(7465,plain,
% 49.55/32.16 (![V: $i, Y: $i, I0: $i, X: $i] : ((m_processor_v_snoop(I0, Y, V) | (~m_processor_v_snoop(I0, X, V))) | (~node44(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))),
% 49.55/32.17 inference(quant_intro,[status(thm)],[7464])).
% 49.55/32.17 tff(7466,axiom,(![V: $i, Y: $i, I0: $i, X: $i] : ((m_processor_v_snoop(I0, Y, V) | (~m_processor_v_snoop(I0, X, V))) | (~node44(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_85')).
% 49.55/32.17 tff(7467,plain,
% 49.55/32.17 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))),
% 49.55/32.17 inference(modus_ponens,[status(thm)],[7466, 7465])).
% 49.55/32.17 tff(7468,plain,
% 49.55/32.17 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))),
% 49.55/32.17 inference(modus_ponens,[status(thm)],[7467, 7463])).
% 49.55/32.17 tff(7469,plain,(
% 49.55/32.17 ![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))),
% 49.55/32.17 inference(skolemize,[status(sab)],[7468])).
% 49.55/32.17 tff(7470,plain,
% 49.55/32.17 (![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))),
% 49.55/32.17 inference(modus_ponens,[status(thm)],[7469, 7462])).
% 49.55/32.17 tff(7471,plain,
% 49.55/32.17 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | ((~m_processor_v_snoop(c_p1, s0, c_invalid)) | m_processor_v_snoop(c_p1, s1, c_invalid) | (~node44(c_p1, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | (~m_processor_v_snoop(c_p1, s0, c_invalid)) | m_processor_v_snoop(c_p1, s1, c_invalid) | (~node44(c_p1, s0, s1)))),
% 49.55/32.17 inference(rewrite,[status(thm)],[])).
% 49.55/32.17 tff(7472,plain,
% 49.55/32.17 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | ((~m_processor_v_snoop(c_p1, s0, c_invalid)) | m_processor_v_snoop(c_p1, s1, c_invalid) | (~node44(c_p1, s0, s1)))),
% 49.55/32.17 inference(quant_inst,[status(thm)],[])).
% 49.55/32.17 tff(7473,plain,
% 49.55/32.17 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | (~m_processor_v_snoop(c_p1, s0, c_invalid)) | m_processor_v_snoop(c_p1, s1, c_invalid) | (~node44(c_p1, s0, s1))),
% 49.55/32.17 inference(modus_ponens,[status(thm)],[7472, 7471])).
% 49.55/32.17 tff(7474,plain,
% 49.55/32.17 (m_processor_v_snoop(c_p1, s1, c_invalid) | (~node44(c_p1, s0, s1))),
% 49.55/32.17 inference(unit_resolution,[status(thm)],[7473, 7470, 7460])).
% 49.55/32.17 tff(7475,plain,
% 49.55/32.17 (~node44(c_p1, s0, s1)),
% 49.55/32.17 inference(unit_resolution,[status(thm)],[7474, 7458])).
% 49.55/32.17 tff(7476,assumption,(node39(c_p1, s0, s1)), introduced(assumption)).
% 49.55/32.17 tff(7477,plain,
% 49.55/32.17 (^[V: $i, Y: $i, I0: $i, X: $i] : refl(((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V)) <=> ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V)))),
% 49.55/32.17 inference(bind,[status(th)],[])).
% 49.55/32.17 tff(7478,plain,
% 49.55/32.17 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V)) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))),
% 49.55/32.17 inference(quant_intro,[status(thm)],[7477])).
% 49.55/32.17 tff(7479,plain,
% 49.55/32.17 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V)) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))),
% 49.55/32.17 inference(rewrite,[status(thm)],[])).
% 49.55/32.17 tff(7480,plain,
% 49.55/32.17 (^[V: $i, Y: $i, I0: $i, X: $i] : trans(monotonicity(rewrite((m_processor_v_snoop(I0, Y, V) | (~m_processor_v_snoop(I0, X, V))) <=> ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))), (((m_processor_v_snoop(I0, Y, V) | (~m_processor_v_snoop(I0, X, V))) | (~node39(I0, X, Y))) <=> (((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V)) | (~node39(I0, X, Y))))), rewrite((((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V)) | (~node39(I0, X, Y))) <=> ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))), (((m_processor_v_snoop(I0, Y, V) | (~m_processor_v_snoop(I0, X, V))) | (~node39(I0, X, Y))) <=> ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))))),
% 49.55/32.17 inference(bind,[status(th)],[])).
% 49.55/32.17 tff(7481,plain,
% 49.55/32.17 (![V: $i, Y: $i, I0: $i, X: $i] : ((m_processor_v_snoop(I0, Y, V) | (~m_processor_v_snoop(I0, X, V))) | (~node39(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))),
% 49.55/32.17 inference(quant_intro,[status(thm)],[7480])).
% 49.55/32.17 tff(7482,axiom,(![V: $i, Y: $i, I0: $i, X: $i] : ((m_processor_v_snoop(I0, Y, V) | (~m_processor_v_snoop(I0, X, V))) | (~node39(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_73')).
% 49.55/32.17 tff(7483,plain,
% 49.55/32.17 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))),
% 49.55/32.17 inference(modus_ponens,[status(thm)],[7482, 7481])).
% 49.55/32.17 tff(7484,plain,
% 49.55/32.17 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))),
% 49.55/32.17 inference(modus_ponens,[status(thm)],[7483, 7479])).
% 49.55/32.17 tff(7485,plain,(
% 49.55/32.17 ![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))),
% 49.55/32.17 inference(skolemize,[status(sab)],[7484])).
% 49.55/32.17 tff(7486,plain,
% 49.55/32.17 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))),
% 49.55/32.17 inference(modus_ponens,[status(thm)],[7485, 7478])).
% 49.55/32.17 tff(7487,plain,
% 49.55/32.17 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~m_processor_v_snoop(c_p1, s0, c_invalid)) | m_processor_v_snoop(c_p1, s1, c_invalid) | (~node39(c_p1, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p1, s0, c_invalid)) | m_processor_v_snoop(c_p1, s1, c_invalid) | (~node39(c_p1, s0, s1)))),
% 49.55/32.17 inference(rewrite,[status(thm)],[])).
% 49.55/32.17 tff(7488,plain,
% 49.55/32.17 (((~node39(c_p1, s0, s1)) | (~m_processor_v_snoop(c_p1, s0, c_invalid)) | m_processor_v_snoop(c_p1, s1, c_invalid)) <=> ((~m_processor_v_snoop(c_p1, s0, c_invalid)) | m_processor_v_snoop(c_p1, s1, c_invalid) | (~node39(c_p1, s0, s1)))),
% 49.55/32.17 inference(rewrite,[status(thm)],[])).
% 49.55/32.17 tff(7489,plain,
% 49.55/32.17 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p1, s0, s1)) | (~m_processor_v_snoop(c_p1, s0, c_invalid)) | m_processor_v_snoop(c_p1, s1, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~m_processor_v_snoop(c_p1, s0, c_invalid)) | m_processor_v_snoop(c_p1, s1, c_invalid) | (~node39(c_p1, s0, s1))))),
% 49.55/32.17 inference(monotonicity,[status(thm)],[7488])).
% 49.55/32.17 tff(7490,plain,
% 49.55/32.17 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p1, s0, s1)) | (~m_processor_v_snoop(c_p1, s0, c_invalid)) | m_processor_v_snoop(c_p1, s1, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p1, s0, c_invalid)) | m_processor_v_snoop(c_p1, s1, c_invalid) | (~node39(c_p1, s0, s1)))),
% 49.55/32.17 inference(transitivity,[status(thm)],[7489, 7487])).
% 49.55/32.17 tff(7491,plain,
% 49.55/32.17 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p1, s0, s1)) | (~m_processor_v_snoop(c_p1, s0, c_invalid)) | m_processor_v_snoop(c_p1, s1, c_invalid))),
% 49.55/32.17 inference(quant_inst,[status(thm)],[])).
% 49.55/32.17 tff(7492,plain,
% 49.55/32.17 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p1, s0, c_invalid)) | m_processor_v_snoop(c_p1, s1, c_invalid) | (~node39(c_p1, s0, s1))),
% 49.55/32.17 inference(modus_ponens,[status(thm)],[7491, 7490])).
% 49.55/32.17 tff(7493,plain,
% 49.55/32.17 ($false),
% 49.55/32.17 inference(unit_resolution,[status(thm)],[7492, 7486, 7460, 7458, 7476])).
% 49.55/32.17 tff(7494,plain,(m_processor_v_snoop(c_p1, s1, c_invalid) | (~node39(c_p1, s0, s1))), inference(lemma,lemma(discharge,[]))).
% 49.55/32.17 tff(7495,plain,
% 49.55/32.17 (~node39(c_p1, s0, s1)),
% 49.55/32.17 inference(unit_resolution,[status(thm)],[7494, 7458])).
% 49.55/32.17 tff(7496,assumption,(~node45(c_p1, s0, s1)), introduced(assumption)).
% 49.55/32.17 tff(7497,plain,
% 49.55/32.17 (^[Y: $i, I0: $i, X: $i] : refl(((~trans(X, Y)) | node45(I0, X, Y)) <=> ((~trans(X, Y)) | node45(I0, X, Y)))),
% 49.55/32.17 inference(bind,[status(th)],[])).
% 49.55/32.17 tff(7498,plain,
% 49.55/32.17 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y)) <=> ![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))),
% 49.55/32.17 inference(quant_intro,[status(thm)],[7497])).
% 49.55/32.17 tff(7499,plain,
% 49.55/32.17 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y)) <=> ![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))),
% 49.55/32.17 inference(rewrite,[status(thm)],[])).
% 49.55/32.17 tff(7500,axiom,(![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_93')).
% 49.55/32.17 tff(7501,plain,
% 49.55/32.17 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))),
% 49.55/32.17 inference(modus_ponens,[status(thm)],[7500, 7499])).
% 49.55/32.17 tff(7502,plain,(
% 49.55/32.17 ![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))),
% 49.55/32.17 inference(skolemize,[status(sab)],[7501])).
% 49.55/32.17 tff(7503,plain,
% 49.55/32.17 (![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))),
% 49.55/32.17 inference(modus_ponens,[status(thm)],[7502, 7498])).
% 49.55/32.17 tff(7504,plain,
% 49.55/32.17 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s0, s1)) | node45(c_p1, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s0, s1)) | node45(c_p1, s0, s1))),
% 49.55/32.17 inference(rewrite,[status(thm)],[])).
% 49.55/32.17 tff(7505,plain,
% 49.55/32.17 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s0, s1)) | node45(c_p1, s0, s1))),
% 49.55/32.17 inference(quant_inst,[status(thm)],[])).
% 49.55/32.17 tff(7506,plain,
% 49.55/32.17 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s0, s1)) | node45(c_p1, s0, s1)),
% 49.55/32.17 inference(modus_ponens,[status(thm)],[7505, 7504])).
% 49.55/32.17 tff(7507,plain,
% 49.55/32.17 ($false),
% 49.55/32.17 inference(unit_resolution,[status(thm)],[7506, 7503, 2811, 7496])).
% 49.55/32.17 tff(7508,plain,(node45(c_p1, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 49.55/32.17 tff(7509,plain,
% 49.55/32.17 (^[Y: $i, I0: $i, X: $i] : refl((node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y))) <=> (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y))))),
% 49.55/32.17 inference(bind,[status(th)],[])).
% 49.55/32.17 tff(7510,plain,
% 49.55/32.17 (![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))),
% 49.55/32.17 inference(quant_intro,[status(thm)],[7509])).
% 49.55/32.17 tff(7511,plain,
% 49.55/32.17 (![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))),
% 49.55/32.17 inference(rewrite,[status(thm)],[])).
% 49.55/32.17 tff(7512,plain,
% 49.55/32.17 (^[Y: $i, I0: $i, X: $i] : rewrite((((~m_processor_v_abort(I0, X)) | node39(I0, X, Y)) | (~node45(I0, X, Y))) <=> (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y))))),
% 49.55/32.17 inference(bind,[status(th)],[])).
% 49.55/32.17 tff(7513,plain,
% 49.55/32.17 (![Y: $i, I0: $i, X: $i] : (((~m_processor_v_abort(I0, X)) | node39(I0, X, Y)) | (~node45(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))),
% 49.55/32.17 inference(quant_intro,[status(thm)],[7512])).
% 49.55/32.17 tff(7514,axiom,(![Y: $i, I0: $i, X: $i] : (((~m_processor_v_abort(I0, X)) | node39(I0, X, Y)) | (~node45(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_87')).
% 49.55/32.17 tff(7515,plain,
% 49.55/32.17 (![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))),
% 49.55/32.17 inference(modus_ponens,[status(thm)],[7514, 7513])).
% 49.55/32.17 tff(7516,plain,
% 49.55/32.17 (![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))),
% 49.55/32.17 inference(modus_ponens,[status(thm)],[7515, 7511])).
% 49.55/32.17 tff(7517,plain,(
% 49.55/32.17 ![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))),
% 49.55/32.17 inference(skolemize,[status(sab)],[7516])).
% 49.55/32.17 tff(7518,plain,
% 49.55/32.17 (![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))),
% 49.55/32.17 inference(modus_ponens,[status(thm)],[7517, 7510])).
% 49.55/32.17 tff(7519,plain,
% 49.55/32.17 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s0)) | node39(c_p1, s0, s1) | (~node45(c_p1, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p1, s0)) | node39(c_p1, s0, s1) | (~node45(c_p1, s0, s1)))),
% 49.55/32.17 inference(rewrite,[status(thm)],[])).
% 49.55/32.17 tff(7520,plain,
% 49.55/32.17 ((node39(c_p1, s0, s1) | (~m_processor_v_abort(c_p1, s0)) | (~node45(c_p1, s0, s1))) <=> ((~m_processor_v_abort(c_p1, s0)) | node39(c_p1, s0, s1) | (~node45(c_p1, s0, s1)))),
% 49.55/32.17 inference(rewrite,[status(thm)],[])).
% 49.55/32.17 tff(7521,plain,
% 49.55/32.17 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p1, s0, s1) | (~m_processor_v_abort(c_p1, s0)) | (~node45(c_p1, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s0)) | node39(c_p1, s0, s1) | (~node45(c_p1, s0, s1))))),
% 49.55/32.17 inference(monotonicity,[status(thm)],[7520])).
% 49.55/32.17 tff(7522,plain,
% 49.55/32.17 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p1, s0, s1) | (~m_processor_v_abort(c_p1, s0)) | (~node45(c_p1, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p1, s0)) | node39(c_p1, s0, s1) | (~node45(c_p1, s0, s1)))),
% 49.55/32.17 inference(transitivity,[status(thm)],[7521, 7519])).
% 49.55/32.17 tff(7523,plain,
% 49.55/32.17 ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p1, s0, s1) | (~m_processor_v_abort(c_p1, s0)) | (~node45(c_p1, s0, s1)))),
% 49.55/32.17 inference(quant_inst,[status(thm)],[])).
% 49.55/32.17 tff(7524,plain,
% 49.55/32.17 ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p1, s0)) | node39(c_p1, s0, s1) | (~node45(c_p1, s0, s1))),
% 49.55/32.17 inference(modus_ponens,[status(thm)],[7523, 7522])).
% 49.55/32.17 tff(7525,plain,
% 49.55/32.17 ((~m_processor_v_abort(c_p1, s0)) | node39(c_p1, s0, s1)),
% 49.55/32.17 inference(unit_resolution,[status(thm)],[7524, 7518, 7508])).
% 49.55/32.17 tff(7526,plain,
% 49.55/32.17 (~m_processor_v_abort(c_p1, s0)),
% 49.55/32.17 inference(unit_resolution,[status(thm)],[7525, 7495])).
% 49.55/32.17 tff(7527,assumption,(~node44(c_p1, s0, s1)), introduced(assumption)).
% 49.55/32.17 tff(7528,assumption,(node40(c_p1, s0)), introduced(assumption)).
% 49.55/32.17 tff(7529,plain,
% 49.55/32.17 (^[I0: $i, X: $i] : refl((m_processor_v_state(I0, X, c_owned) | (~node40(I0, X))) <=> (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X))))),
% 49.55/32.17 inference(bind,[status(th)],[])).
% 49.55/32.17 tff(7530,plain,
% 49.55/32.17 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))),
% 49.55/32.17 inference(quant_intro,[status(thm)],[7529])).
% 49.55/32.17 tff(7531,plain,
% 49.55/32.17 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))),
% 49.55/32.17 inference(rewrite,[status(thm)],[])).
% 49.55/32.17 tff(7532,axiom,(![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_76')).
% 49.55/32.17 tff(7533,plain,
% 49.55/32.17 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))),
% 49.55/32.17 inference(modus_ponens,[status(thm)],[7532, 7531])).
% 49.55/32.17 tff(7534,plain,(
% 49.55/32.17 ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))),
% 49.55/32.17 inference(skolemize,[status(sab)],[7533])).
% 49.55/32.17 tff(7535,plain,
% 49.55/32.17 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))),
% 49.55/32.17 inference(modus_ponens,[status(thm)],[7534, 7530])).
% 49.55/32.17 tff(7536,plain,
% 49.55/32.17 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | (m_processor_v_state(c_p1, s0, c_owned) | (~node40(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | m_processor_v_state(c_p1, s0, c_owned) | (~node40(c_p1, s0)))),
% 49.55/32.17 inference(rewrite,[status(thm)],[])).
% 49.55/32.17 tff(7537,plain,
% 49.55/32.17 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | (m_processor_v_state(c_p1, s0, c_owned) | (~node40(c_p1, s0)))),
% 49.55/32.17 inference(quant_inst,[status(thm)],[])).
% 49.55/32.17 tff(7538,plain,
% 49.55/32.17 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | m_processor_v_state(c_p1, s0, c_owned) | (~node40(c_p1, s0))),
% 49.55/32.17 inference(modus_ponens,[status(thm)],[7537, 7536])).
% 49.55/32.17 tff(7539,plain,
% 49.55/32.17 ($false),
% 49.55/32.17 inference(unit_resolution,[status(thm)],[7538, 7535, 2992, 7528])).
% 49.55/32.17 tff(7540,plain,(~node40(c_p1, s0)), inference(lemma,lemma(discharge,[]))).
% 49.55/32.17 tff(7541,assumption,(node41(c_p1, s0)), introduced(assumption)).
% 49.55/32.17 tff(7542,plain,
% 49.55/32.17 (^[I0: $i, X: $i] : refl((m_processor_v_state(I0, X, c_owned) | (~node41(I0, X))) <=> (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X))))),
% 49.55/32.17 inference(bind,[status(th)],[])).
% 49.55/32.17 tff(7543,plain,
% 49.55/32.17 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))),
% 49.55/32.17 inference(quant_intro,[status(thm)],[7542])).
% 49.55/32.17 tff(7544,plain,
% 49.55/32.17 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))),
% 49.55/32.17 inference(rewrite,[status(thm)],[])).
% 49.55/32.17 tff(7545,axiom,(![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_79')).
% 49.55/32.17 tff(7546,plain,
% 49.55/32.17 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))),
% 49.55/32.17 inference(modus_ponens,[status(thm)],[7545, 7544])).
% 49.55/32.17 tff(7547,plain,(
% 49.55/32.17 ![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))),
% 49.55/32.17 inference(skolemize,[status(sab)],[7546])).
% 49.55/32.17 tff(7548,plain,
% 49.55/32.17 (![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))),
% 49.55/32.17 inference(modus_ponens,[status(thm)],[7547, 7543])).
% 49.55/32.17 tff(7549,plain,
% 49.55/32.17 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | (m_processor_v_state(c_p1, s0, c_owned) | (~node41(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | m_processor_v_state(c_p1, s0, c_owned) | (~node41(c_p1, s0)))),
% 49.55/32.17 inference(rewrite,[status(thm)],[])).
% 49.55/32.17 tff(7550,plain,
% 49.55/32.17 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | (m_processor_v_state(c_p1, s0, c_owned) | (~node41(c_p1, s0)))),
% 49.55/32.17 inference(quant_inst,[status(thm)],[])).
% 49.55/32.17 tff(7551,plain,
% 49.55/32.17 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | m_processor_v_state(c_p1, s0, c_owned) | (~node41(c_p1, s0))),
% 49.55/32.17 inference(modus_ponens,[status(thm)],[7550, 7549])).
% 49.55/32.17 tff(7552,plain,
% 49.55/32.17 ($false),
% 49.55/32.17 inference(unit_resolution,[status(thm)],[7551, 7548, 2992, 7541])).
% 49.55/32.17 tff(7553,plain,(~node41(c_p1, s0)), inference(lemma,lemma(discharge,[]))).
% 49.55/32.17 tff(7554,plain,
% 49.55/32.17 (^[Y: $i, I0: $i, X: $i] : refl(((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid)) <=> ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid)))),
% 49.55/32.17 inference(bind,[status(th)],[])).
% 49.55/32.17 tff(7555,plain,
% 49.55/32.17 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid)) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))),
% 49.55/32.17 inference(quant_intro,[status(thm)],[7554])).
% 49.55/32.17 tff(7556,plain,
% 49.55/32.17 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid)) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))),
% 49.55/32.17 inference(rewrite,[status(thm)],[])).
% 49.55/32.17 tff(7557,plain,
% 49.55/32.17 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) <=> (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X))), ((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | (~m_processor_v_master(I0, X))) <=> ((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X)) | (~m_processor_v_master(I0, X))))), rewrite(((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X)) | (~m_processor_v_master(I0, X))) <=> ((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X))), ((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | (~m_processor_v_master(I0, X))) <=> ((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X)))), (((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) <=> (((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))))), rewrite((((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) <=> ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X))), (((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) <=> ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X)))), ((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | m_processor_v_snoop(I0, Y, c_invalid)) <=> (((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X)) | m_processor_v_snoop(I0, Y, c_invalid)))), rewrite((((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X)) | m_processor_v_snoop(I0, Y, c_invalid)) <=> ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | m_processor_v_snoop(I0, Y, c_invalid))), ((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | m_processor_v_snoop(I0, Y, c_invalid)) <=> ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | m_processor_v_snoop(I0, Y, c_invalid)))), (((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | m_processor_v_snoop(I0, Y, c_invalid)) | (~node45(I0, X, Y))) <=> (((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | m_processor_v_snoop(I0, Y, c_invalid)) | (~node45(I0, X, Y))))), rewrite((((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | m_processor_v_snoop(I0, Y, c_invalid)) | (~node45(I0, X, Y))) <=> ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))), (((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | m_processor_v_snoop(I0, Y, c_invalid)) | (~node45(I0, X, Y))) <=> ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))))),
% 49.55/32.17 inference(bind,[status(th)],[])).
% 49.55/32.17 tff(7558,plain,
% 49.55/32.17 (![Y: $i, I0: $i, X: $i] : ((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | m_processor_v_snoop(I0, Y, c_invalid)) | (~node45(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))),
% 49.55/32.17 inference(quant_intro,[status(thm)],[7557])).
% 49.55/32.17 tff(7559,axiom,(![Y: $i, I0: $i, X: $i] : ((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | m_processor_v_snoop(I0, Y, c_invalid)) | (~node45(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_90')).
% 49.55/32.17 tff(7560,plain,
% 49.55/32.17 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))),
% 49.55/32.17 inference(modus_ponens,[status(thm)],[7559, 7558])).
% 49.55/32.17 tff(7561,plain,
% 49.55/32.17 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))),
% 49.55/32.17 inference(modus_ponens,[status(thm)],[7560, 7556])).
% 49.55/32.17 tff(7562,plain,(
% 49.55/32.17 ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))),
% 49.55/32.17 inference(skolemize,[status(sab)],[7561])).
% 49.55/32.17 tff(7563,plain,
% 49.55/32.17 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))),
% 49.55/32.17 inference(modus_ponens,[status(thm)],[7562, 7555])).
% 49.55/32.17 tff(7564,plain,
% 49.55/32.17 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s0)) | m_processor_v_snoop(c_p1, s1, c_invalid) | node41(c_p1, s0) | node40(c_p1, s0) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p1, s0) | (~node45(c_p1, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p1, s0)) | m_processor_v_snoop(c_p1, s1, c_invalid) | node41(c_p1, s0) | node40(c_p1, s0) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p1, s0) | (~node45(c_p1, s0, s1)))),
% 49.55/32.17 inference(rewrite,[status(thm)],[])).
% 49.55/32.17 tff(7565,plain,
% 49.55/32.17 (((~m_processor_v_master(c_p1, s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p1, s0) | node40(c_p1, s0) | node41(c_p1, s0) | (~node45(c_p1, s0, s1)) | m_processor_v_snoop(c_p1, s1, c_invalid)) <=> ((~m_processor_v_master(c_p1, s0)) | m_processor_v_snoop(c_p1, s1, c_invalid) | node41(c_p1, s0) | node40(c_p1, s0) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p1, s0) | (~node45(c_p1, s0, s1)))),
% 49.55/32.17 inference(rewrite,[status(thm)],[])).
% 49.55/32.17 tff(7566,plain,
% 49.55/32.17 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p1, s0) | node40(c_p1, s0) | node41(c_p1, s0) | (~node45(c_p1, s0, s1)) | m_processor_v_snoop(c_p1, s1, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s0)) | m_processor_v_snoop(c_p1, s1, c_invalid) | node41(c_p1, s0) | node40(c_p1, s0) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p1, s0) | (~node45(c_p1, s0, s1))))),
% 49.55/32.17 inference(monotonicity,[status(thm)],[7565])).
% 49.55/32.17 tff(7567,plain,
% 49.55/32.17 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p1, s0) | node40(c_p1, s0) | node41(c_p1, s0) | (~node45(c_p1, s0, s1)) | m_processor_v_snoop(c_p1, s1, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p1, s0)) | m_processor_v_snoop(c_p1, s1, c_invalid) | node41(c_p1, s0) | node40(c_p1, s0) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p1, s0) | (~node45(c_p1, s0, s1)))),
% 49.55/32.17 inference(transitivity,[status(thm)],[7566, 7564])).
% 49.55/32.17 tff(7568,plain,
% 49.55/32.17 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p1, s0) | node40(c_p1, s0) | node41(c_p1, s0) | (~node45(c_p1, s0, s1)) | m_processor_v_snoop(c_p1, s1, c_invalid))),
% 49.55/32.17 inference(quant_inst,[status(thm)],[])).
% 49.55/32.17 tff(7569,plain,
% 49.55/32.17 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p1, s0)) | m_processor_v_snoop(c_p1, s1, c_invalid) | node41(c_p1, s0) | node40(c_p1, s0) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p1, s0) | (~node45(c_p1, s0, s1))),
% 49.55/32.18 inference(modus_ponens,[status(thm)],[7568, 7567])).
% 49.55/32.18 tff(7570,plain,
% 49.55/32.18 ((~m_processor_v_master(c_p1, s0)) | m_processor_v_snoop(c_p1, s1, c_invalid) | node41(c_p1, s0) | node40(c_p1, s0) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p1, s0)),
% 49.55/32.18 inference(unit_resolution,[status(thm)],[7569, 7563, 7508])).
% 49.55/32.18 tff(7571,plain,
% 49.55/32.18 ((~m_processor_v_master(c_p1, s0)) | m_processor_v_snoop(c_p1, s1, c_invalid) | node40(c_p1, s0) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p1, s0)),
% 49.55/32.18 inference(unit_resolution,[status(thm)],[7570, 7553])).
% 49.55/32.18 tff(7572,plain,
% 49.55/32.18 (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)),
% 49.55/32.18 inference(unit_resolution,[status(thm)],[7571, 7458, 7540, 2969, 3980])).
% 49.55/32.18 tff(7573,plain,
% 49.55/32.18 (^[I0: $i, X: $i] : refl((m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X))) <=> (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X))))),
% 49.55/32.18 inference(bind,[status(th)],[])).
% 49.55/32.18 tff(7574,plain,
% 49.55/32.18 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))),
% 49.55/32.18 inference(quant_intro,[status(thm)],[7573])).
% 49.55/32.18 tff(7575,plain,
% 49.55/32.18 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))),
% 49.55/32.18 inference(rewrite,[status(thm)],[])).
% 49.55/32.18 tff(7576,axiom,(![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_82')).
% 49.55/32.18 tff(7577,plain,
% 49.55/32.18 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))),
% 49.55/32.18 inference(modus_ponens,[status(thm)],[7576, 7575])).
% 49.55/32.18 tff(7578,plain,(
% 49.55/32.18 ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))),
% 49.55/32.18 inference(skolemize,[status(sab)],[7577])).
% 49.55/32.18 tff(7579,plain,
% 49.55/32.18 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))),
% 49.55/32.18 inference(modus_ponens,[status(thm)],[7578, 7574])).
% 49.55/32.18 tff(7580,plain,
% 49.55/32.18 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | ((~node42(c_p1, s0)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | (~node42(c_p1, s0)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid))),
% 49.55/32.18 inference(rewrite,[status(thm)],[])).
% 49.55/32.18 tff(7581,plain,
% 49.55/32.18 ((m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~node42(c_p1, s0))) <=> ((~node42(c_p1, s0)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid))),
% 49.55/32.18 inference(rewrite,[status(thm)],[])).
% 49.55/32.18 tff(7582,plain,
% 49.55/32.18 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | (m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~node42(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | ((~node42(c_p1, s0)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)))),
% 49.55/32.18 inference(monotonicity,[status(thm)],[7581])).
% 49.55/32.18 tff(7583,plain,
% 49.55/32.18 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | (m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~node42(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | (~node42(c_p1, s0)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid))),
% 49.55/32.18 inference(transitivity,[status(thm)],[7582, 7580])).
% 49.55/32.18 tff(7584,plain,
% 49.55/32.18 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | (m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~node42(c_p1, s0)))),
% 49.55/32.18 inference(quant_inst,[status(thm)],[])).
% 49.55/32.18 tff(7585,plain,
% 49.55/32.18 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | (~node42(c_p1, s0)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)),
% 49.55/32.18 inference(modus_ponens,[status(thm)],[7584, 7583])).
% 49.55/32.18 tff(7586,plain,
% 49.55/32.18 (~node42(c_p1, s0)),
% 49.55/32.18 inference(unit_resolution,[status(thm)],[7585, 7579, 7572])).
% 49.55/32.18 tff(7587,plain,
% 49.55/32.18 (^[Y: $i, I0: $i, X: $i] : refl((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y))) <=> (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y))))),
% 49.55/32.18 inference(bind,[status(th)],[])).
% 49.55/32.18 tff(7588,plain,
% 49.55/32.18 (![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))),
% 49.55/32.18 inference(quant_intro,[status(thm)],[7587])).
% 49.55/32.18 tff(7589,plain,
% 49.55/32.18 (![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))),
% 49.55/32.18 inference(rewrite,[status(thm)],[])).
% 49.55/32.18 tff(7590,plain,
% 49.55/32.18 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) <=> (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X))), ((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) <=> ((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X)) | node42(I0, X)))), rewrite(((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X)) | node42(I0, X)) <=> (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X))), ((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) <=> (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X)))), (((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | node43(I0, X)) <=> ((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X)) | node43(I0, X)))), rewrite(((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X)) | node43(I0, X)) <=> (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X))), (((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | node43(I0, X)) <=> (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X)))), ((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | node43(I0, X)) | node44(I0, X, Y)) <=> ((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X)) | node44(I0, X, Y)))), rewrite(((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X)) | node44(I0, X, Y)) <=> (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y))), ((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | node43(I0, X)) | node44(I0, X, Y)) <=> (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y)))), (((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | node43(I0, X)) | node44(I0, X, Y)) | (~node45(I0, X, Y))) <=> ((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y)) | (~node45(I0, X, Y))))), rewrite(((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y)) | (~node45(I0, X, Y))) <=> (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))), (((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | node43(I0, X)) | node44(I0, X, Y)) | (~node45(I0, X, Y))) <=> (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))))),
% 49.55/32.18 inference(bind,[status(th)],[])).
% 49.55/32.18 tff(7591,plain,
% 49.55/32.18 (![Y: $i, I0: $i, X: $i] : ((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | node43(I0, X)) | node44(I0, X, Y)) | (~node45(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))),
% 49.55/32.18 inference(quant_intro,[status(thm)],[7590])).
% 49.55/32.18 tff(7592,axiom,(![Y: $i, I0: $i, X: $i] : ((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | node43(I0, X)) | node44(I0, X, Y)) | (~node45(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_92')).
% 49.55/32.18 tff(7593,plain,
% 49.55/32.18 (![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))),
% 49.55/32.18 inference(modus_ponens,[status(thm)],[7592, 7591])).
% 49.55/32.18 tff(7594,plain,
% 49.55/32.18 (![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))),
% 49.55/32.18 inference(modus_ponens,[status(thm)],[7593, 7589])).
% 49.55/32.18 tff(7595,plain,(
% 49.55/32.18 ![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))),
% 49.55/32.18 inference(skolemize,[status(sab)],[7594])).
% 49.55/32.18 tff(7596,plain,
% 49.55/32.18 (![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))),
% 49.55/32.18 inference(modus_ponens,[status(thm)],[7595, 7588])).
% 49.55/32.18 tff(7597,plain,
% 49.55/32.18 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (node43(c_p1, s0) | node42(c_p1, s0) | node41(c_p1, s0) | node40(c_p1, s0) | m_processor_v_abort(c_p1, s0) | node44(c_p1, s0, s1) | (~node45(c_p1, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | node43(c_p1, s0) | node42(c_p1, s0) | node41(c_p1, s0) | node40(c_p1, s0) | m_processor_v_abort(c_p1, s0) | node44(c_p1, s0, s1) | (~node45(c_p1, s0, s1)))),
% 49.55/32.18 inference(rewrite,[status(thm)],[])).
% 49.55/32.18 tff(7598,plain,
% 49.55/32.18 ((m_processor_v_abort(c_p1, s0) | node40(c_p1, s0) | node41(c_p1, s0) | node42(c_p1, s0) | node43(c_p1, s0) | node44(c_p1, s0, s1) | (~node45(c_p1, s0, s1))) <=> (node43(c_p1, s0) | node42(c_p1, s0) | node41(c_p1, s0) | node40(c_p1, s0) | m_processor_v_abort(c_p1, s0) | node44(c_p1, s0, s1) | (~node45(c_p1, s0, s1)))),
% 49.55/32.18 inference(rewrite,[status(thm)],[])).
% 49.55/32.18 tff(7599,plain,
% 49.55/32.18 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p1, s0) | node40(c_p1, s0) | node41(c_p1, s0) | node42(c_p1, s0) | node43(c_p1, s0) | node44(c_p1, s0, s1) | (~node45(c_p1, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (node43(c_p1, s0) | node42(c_p1, s0) | node41(c_p1, s0) | node40(c_p1, s0) | m_processor_v_abort(c_p1, s0) | node44(c_p1, s0, s1) | (~node45(c_p1, s0, s1))))),
% 49.55/32.18 inference(monotonicity,[status(thm)],[7598])).
% 49.55/32.18 tff(7600,plain,
% 49.55/32.18 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p1, s0) | node40(c_p1, s0) | node41(c_p1, s0) | node42(c_p1, s0) | node43(c_p1, s0) | node44(c_p1, s0, s1) | (~node45(c_p1, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | node43(c_p1, s0) | node42(c_p1, s0) | node41(c_p1, s0) | node40(c_p1, s0) | m_processor_v_abort(c_p1, s0) | node44(c_p1, s0, s1) | (~node45(c_p1, s0, s1)))),
% 49.55/32.18 inference(transitivity,[status(thm)],[7599, 7597])).
% 49.55/32.18 tff(7601,plain,
% 49.55/32.18 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p1, s0) | node40(c_p1, s0) | node41(c_p1, s0) | node42(c_p1, s0) | node43(c_p1, s0) | node44(c_p1, s0, s1) | (~node45(c_p1, s0, s1)))),
% 49.55/32.18 inference(quant_inst,[status(thm)],[])).
% 49.55/32.18 tff(7602,plain,
% 49.55/32.18 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | node43(c_p1, s0) | node42(c_p1, s0) | node41(c_p1, s0) | node40(c_p1, s0) | m_processor_v_abort(c_p1, s0) | node44(c_p1, s0, s1) | (~node45(c_p1, s0, s1))),
% 49.55/32.18 inference(modus_ponens,[status(thm)],[7601, 7600])).
% 49.55/32.18 tff(7603,plain,
% 49.55/32.18 (node43(c_p1, s0) | node42(c_p1, s0) | node41(c_p1, s0) | node40(c_p1, s0) | m_processor_v_abort(c_p1, s0) | node44(c_p1, s0, s1)),
% 49.55/32.18 inference(unit_resolution,[status(thm)],[7602, 7596, 7508])).
% 49.55/32.18 tff(7604,plain,
% 49.55/32.18 (node43(c_p1, s0) | node42(c_p1, s0) | node40(c_p1, s0) | m_processor_v_abort(c_p1, s0) | node44(c_p1, s0, s1)),
% 49.55/32.18 inference(unit_resolution,[status(thm)],[7603, 7553])).
% 49.55/32.18 tff(7605,plain,
% 49.55/32.18 (node43(c_p1, s0)),
% 49.55/32.18 inference(unit_resolution,[status(thm)],[7604, 7586, 7540, 7527, 3980])).
% 49.55/32.18 tff(7606,plain,
% 49.55/32.18 (^[Y: $i, I0: $i, X: $i] : refl(((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid)) <=> ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid)))),
% 49.55/32.18 inference(bind,[status(th)],[])).
% 49.55/32.18 tff(7607,plain,
% 49.55/32.18 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid)) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))),
% 49.55/32.18 inference(quant_intro,[status(thm)],[7606])).
% 49.55/32.18 tff(7608,plain,
% 49.55/32.18 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid)) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))),
% 49.55/32.18 inference(rewrite,[status(thm)],[])).
% 49.55/32.18 tff(7609,plain,
% 49.55/32.18 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) <=> (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X))), ((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) <=> ((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X)) | node42(I0, X)))), rewrite(((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X)) | node42(I0, X)) <=> (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X))), ((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) <=> (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X)))), (((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | (~m_processor_v_master(I0, X))) <=> ((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X)) | (~m_processor_v_master(I0, X))))), rewrite(((m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X)) | (~m_processor_v_master(I0, X))) <=> ((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X))), (((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | (~m_processor_v_master(I0, X))) <=> ((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X)))), ((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) <=> (((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))))), rewrite((((~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) <=> ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X))), ((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) <=> ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X)))), (((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_snoop(I0, Y, c_invalid)) <=> (((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X)) | m_processor_v_snoop(I0, Y, c_invalid)))), rewrite((((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X)) | m_processor_v_snoop(I0, Y, c_invalid)) <=> ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | m_processor_v_snoop(I0, Y, c_invalid))), (((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_snoop(I0, Y, c_invalid)) <=> ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | m_processor_v_snoop(I0, Y, c_invalid)))), ((((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_snoop(I0, Y, c_invalid)) | (~node45(I0, X, Y))) <=> (((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | m_processor_v_snoop(I0, Y, c_invalid)) | (~node45(I0, X, Y))))), rewrite((((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | m_processor_v_snoop(I0, Y, c_invalid)) | (~node45(I0, X, Y))) <=> ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))), ((((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_snoop(I0, Y, c_invalid)) | (~node45(I0, X, Y))) <=> ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))))),
% 49.55/32.18 inference(bind,[status(th)],[])).
% 49.55/32.18 tff(7610,plain,
% 49.55/32.18 (![Y: $i, I0: $i, X: $i] : (((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_snoop(I0, Y, c_invalid)) | (~node45(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))),
% 49.55/32.18 inference(quant_intro,[status(thm)],[7609])).
% 49.55/32.18 tff(7611,axiom,(![Y: $i, I0: $i, X: $i] : (((((((m_processor_v_abort(I0, X) | node40(I0, X)) | node41(I0, X)) | node42(I0, X)) | (~m_processor_v_master(I0, X))) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_snoop(I0, Y, c_invalid)) | (~node45(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_91')).
% 49.55/32.18 tff(7612,plain,
% 49.55/32.18 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))),
% 49.55/32.18 inference(modus_ponens,[status(thm)],[7611, 7610])).
% 49.55/32.18 tff(7613,plain,
% 49.55/32.18 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))),
% 49.55/32.18 inference(modus_ponens,[status(thm)],[7612, 7608])).
% 49.55/32.18 tff(7614,plain,(
% 49.55/32.18 ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))),
% 49.55/32.18 inference(skolemize,[status(sab)],[7613])).
% 49.55/32.18 tff(7615,plain,
% 49.55/32.18 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))),
% 49.55/32.18 inference(modus_ponens,[status(thm)],[7614, 7607])).
% 49.55/32.18 tff(7616,plain,
% 49.55/32.18 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s0)) | m_processor_v_snoop(c_p1, s1, c_invalid) | node42(c_p1, s0) | node41(c_p1, s0) | node40(c_p1, s0) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p1, s0) | (~node45(c_p1, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p1, s0)) | m_processor_v_snoop(c_p1, s1, c_invalid) | node42(c_p1, s0) | node41(c_p1, s0) | node40(c_p1, s0) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p1, s0) | (~node45(c_p1, s0, s1)))),
% 49.55/32.18 inference(rewrite,[status(thm)],[])).
% 49.55/32.18 tff(7617,plain,
% 49.55/32.18 (((~m_processor_v_master(c_p1, s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p1, s0) | node40(c_p1, s0) | node41(c_p1, s0) | node42(c_p1, s0) | (~node45(c_p1, s0, s1)) | m_processor_v_snoop(c_p1, s1, c_invalid)) <=> ((~m_processor_v_master(c_p1, s0)) | m_processor_v_snoop(c_p1, s1, c_invalid) | node42(c_p1, s0) | node41(c_p1, s0) | node40(c_p1, s0) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p1, s0) | (~node45(c_p1, s0, s1)))),
% 49.55/32.18 inference(rewrite,[status(thm)],[])).
% 49.55/32.18 tff(7618,plain,
% 49.55/32.18 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p1, s0) | node40(c_p1, s0) | node41(c_p1, s0) | node42(c_p1, s0) | (~node45(c_p1, s0, s1)) | m_processor_v_snoop(c_p1, s1, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s0)) | m_processor_v_snoop(c_p1, s1, c_invalid) | node42(c_p1, s0) | node41(c_p1, s0) | node40(c_p1, s0) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p1, s0) | (~node45(c_p1, s0, s1))))),
% 49.55/32.18 inference(monotonicity,[status(thm)],[7617])).
% 49.55/32.18 tff(7619,plain,
% 49.55/32.18 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p1, s0) | node40(c_p1, s0) | node41(c_p1, s0) | node42(c_p1, s0) | (~node45(c_p1, s0, s1)) | m_processor_v_snoop(c_p1, s1, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p1, s0)) | m_processor_v_snoop(c_p1, s1, c_invalid) | node42(c_p1, s0) | node41(c_p1, s0) | node40(c_p1, s0) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p1, s0) | (~node45(c_p1, s0, s1)))),
% 49.55/32.18 inference(transitivity,[status(thm)],[7618, 7616])).
% 49.55/32.18 tff(7620,plain,
% 49.55/32.18 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s0)) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p1, s0) | node40(c_p1, s0) | node41(c_p1, s0) | node42(c_p1, s0) | (~node45(c_p1, s0, s1)) | m_processor_v_snoop(c_p1, s1, c_invalid))),
% 49.55/32.18 inference(quant_inst,[status(thm)],[])).
% 49.55/32.18 tff(7621,plain,
% 49.55/32.18 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p1, s0)) | m_processor_v_snoop(c_p1, s1, c_invalid) | node42(c_p1, s0) | node41(c_p1, s0) | node40(c_p1, s0) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p1, s0) | (~node45(c_p1, s0, s1))),
% 49.55/32.18 inference(modus_ponens,[status(thm)],[7620, 7619])).
% 49.55/32.18 tff(7622,plain,
% 49.55/32.18 ((~m_processor_v_master(c_p1, s0)) | m_processor_v_snoop(c_p1, s1, c_invalid) | node42(c_p1, s0) | node41(c_p1, s0) | node40(c_p1, s0) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p1, s0)),
% 49.55/32.18 inference(unit_resolution,[status(thm)],[7621, 7615, 7508])).
% 49.55/32.18 tff(7623,plain,
% 49.55/32.18 ((~m_processor_v_master(c_p1, s0)) | m_processor_v_snoop(c_p1, s1, c_invalid) | node42(c_p1, s0) | node40(c_p1, s0) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p1, s0)),
% 49.55/32.18 inference(unit_resolution,[status(thm)],[7622, 7553])).
% 49.55/32.18 tff(7624,plain,
% 49.55/32.18 (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)),
% 49.55/32.18 inference(unit_resolution,[status(thm)],[7623, 7586, 2969, 3980, 7540, 7458])).
% 49.55/32.18 tff(7625,plain,
% 49.55/32.18 (^[I0: $i, X: $i] : refl((m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X))) <=> (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X))))),
% 49.55/32.18 inference(bind,[status(th)],[])).
% 49.55/32.18 tff(7626,plain,
% 49.55/32.18 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))),
% 49.55/32.18 inference(quant_intro,[status(thm)],[7625])).
% 49.55/32.18 tff(7627,plain,
% 49.55/32.18 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))),
% 49.55/32.18 inference(rewrite,[status(thm)],[])).
% 49.55/32.18 tff(7628,axiom,(![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_84')).
% 49.55/32.18 tff(7629,plain,
% 49.55/32.18 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))),
% 49.55/32.18 inference(modus_ponens,[status(thm)],[7628, 7627])).
% 49.55/32.18 tff(7630,plain,(
% 49.55/32.18 ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))),
% 49.55/32.18 inference(skolemize,[status(sab)],[7629])).
% 49.55/32.18 tff(7631,plain,
% 49.55/32.18 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))),
% 49.55/32.18 inference(modus_ponens,[status(thm)],[7630, 7626])).
% 49.55/32.18 tff(7632,plain,
% 49.55/32.18 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | ((~node43(c_p1, s0)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (~node43(c_p1, s0)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared))),
% 49.55/32.18 inference(rewrite,[status(thm)],[])).
% 49.55/32.18 tff(7633,plain,
% 49.55/32.18 ((m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared) | (~node43(c_p1, s0))) <=> ((~node43(c_p1, s0)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared))),
% 49.55/32.18 inference(rewrite,[status(thm)],[])).
% 49.55/32.18 tff(7634,plain,
% 49.55/32.18 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared) | (~node43(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | ((~node43(c_p1, s0)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)))),
% 49.55/32.18 inference(monotonicity,[status(thm)],[7633])).
% 49.55/32.18 tff(7635,plain,
% 49.55/32.18 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared) | (~node43(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (~node43(c_p1, s0)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared))),
% 49.55/32.18 inference(transitivity,[status(thm)],[7634, 7632])).
% 49.55/32.18 tff(7636,plain,
% 49.55/32.18 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared) | (~node43(c_p1, s0)))),
% 49.55/32.18 inference(quant_inst,[status(thm)],[])).
% 49.55/32.18 tff(7637,plain,
% 49.55/32.18 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (~node43(c_p1, s0)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)),
% 49.55/32.18 inference(modus_ponens,[status(thm)],[7636, 7635])).
% 49.55/32.18 tff(7638,plain,
% 49.55/32.18 ($false),
% 49.55/32.18 inference(unit_resolution,[status(thm)],[7637, 7631, 7624, 7605])).
% 49.55/32.18 tff(7639,plain,(m_processor_v_snoop(c_p1, s1, c_invalid) | node44(c_p1, s0, s1) | m_processor_v_abort(c_p1, s0) | (~m_processor_v_master(c_p1, s0))), inference(lemma,lemma(discharge,[]))).
% 49.55/32.19 tff(7640,plain,
% 49.55/32.19 (~m_processor_v_master(c_p1, s0)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7639, 7526, 7458, 7475])).
% 49.55/32.19 tff(7641,plain,
% 49.55/32.19 (~node62(c_p1, s0)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[2982, 7640])).
% 49.55/32.19 tff(7642,plain,
% 49.55/32.19 (m_processor_v_cmd(c_p1, s0, c_idle)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[3027, 7641])).
% 49.55/32.19 tff(7643,assumption,(m_main_v_CMD(s0, c_idle)), introduced(assumption)).
% 49.55/32.19 tff(7644,plain,
% 49.55/32.19 (^[X: $i] : refl(((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))))),
% 49.55/32.19 inference(bind,[status(th)],[])).
% 49.55/32.19 tff(7645,plain,
% 49.55/32.19 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 49.55/32.19 inference(quant_intro,[status(thm)],[7644])).
% 49.55/32.19 tff(7646,plain,
% 49.55/32.19 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 49.55/32.19 inference(rewrite,[status(thm)],[])).
% 49.55/32.19 tff(7647,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_7')).
% 49.55/32.19 tff(7648,plain,
% 49.55/32.19 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 49.55/32.19 inference(modus_ponens,[status(thm)],[7647, 7646])).
% 49.55/32.19 tff(7649,plain,(
% 49.55/32.19 ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 49.55/32.19 inference(skolemize,[status(sab)],[7648])).
% 49.55/32.19 tff(7650,plain,
% 49.55/32.19 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 49.55/32.19 inference(modus_ponens,[status(thm)],[7649, 7645])).
% 49.55/32.19 tff(7651,plain,
% 49.55/32.19 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s0, c_idle)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s0, c_idle)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)))),
% 49.55/32.19 inference(rewrite,[status(thm)],[])).
% 49.55/32.19 tff(7652,plain,
% 49.55/32.19 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s0, c_idle)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)))),
% 49.55/32.19 inference(quant_inst,[status(thm)],[])).
% 49.55/32.19 tff(7653,plain,
% 49.55/32.19 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s0, c_idle)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared))),
% 49.55/32.19 inference(modus_ponens,[status(thm)],[7652, 7651])).
% 49.55/32.19 tff(7654,plain,
% 49.55/32.19 (~m_main_v_CMD(s0, c_write_h_resp_h_shared)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7653, 7650, 7643])).
% 49.55/32.19 tff(7655,plain,
% 49.55/32.19 (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[4381, 7654])).
% 49.55/32.19 tff(7656,plain,
% 49.55/32.19 (~node43(c_p1, s0)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7637, 7631, 7655])).
% 49.55/32.19 tff(7657,plain,
% 49.55/32.19 (^[X: $i] : refl(((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))) <=> ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))))),
% 49.55/32.19 inference(bind,[status(th)],[])).
% 49.55/32.19 tff(7658,plain,
% 49.55/32.19 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 49.55/32.19 inference(quant_intro,[status(thm)],[7657])).
% 49.55/32.19 tff(7659,plain,
% 49.55/32.19 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 49.55/32.19 inference(rewrite,[status(thm)],[])).
% 49.55/32.19 tff(7660,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_6')).
% 49.55/32.19 tff(7661,plain,
% 49.55/32.19 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 49.55/32.19 inference(modus_ponens,[status(thm)],[7660, 7659])).
% 49.55/32.19 tff(7662,plain,(
% 49.55/32.19 ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 49.55/32.19 inference(skolemize,[status(sab)],[7661])).
% 49.55/32.19 tff(7663,plain,
% 49.55/32.19 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 49.55/32.19 inference(modus_ponens,[status(thm)],[7662, 7658])).
% 49.55/32.19 tff(7664,plain,
% 49.55/32.19 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s0, c_idle)) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s0, c_idle)) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid)))),
% 49.55/32.19 inference(rewrite,[status(thm)],[])).
% 49.55/32.19 tff(7665,plain,
% 49.55/32.19 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s0, c_idle)) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid)))),
% 49.55/32.19 inference(quant_inst,[status(thm)],[])).
% 49.55/32.19 tff(7666,plain,
% 49.55/32.19 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s0, c_idle)) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid))),
% 49.55/32.19 inference(modus_ponens,[status(thm)],[7665, 7664])).
% 49.55/32.19 tff(7667,plain,
% 49.55/32.19 (~m_main_v_CMD(s0, c_write_h_resp_h_invalid)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7666, 7663, 7643])).
% 49.55/32.19 tff(7668,plain,
% 49.55/32.19 (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[4346, 7667])).
% 49.55/32.19 tff(7669,plain,
% 49.55/32.19 (~node42(c_p1, s0)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7585, 7579, 7668])).
% 49.55/32.19 tff(7670,assumption,(~node42(c_p1, s0)), introduced(assumption)).
% 49.55/32.19 tff(7671,assumption,(~node43(c_p1, s0)), introduced(assumption)).
% 49.55/32.19 tff(7672,plain,
% 49.55/32.19 (node43(c_p1, s0) | node42(c_p1, s0) | m_processor_v_abort(c_p1, s0) | node44(c_p1, s0, s1)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7604, 7540])).
% 49.55/32.19 tff(7673,plain,
% 49.55/32.19 (m_processor_v_abort(c_p1, s0)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7672, 7475, 7671, 7670])).
% 49.55/32.19 tff(7674,plain,
% 49.55/32.19 ($false),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7525, 7673, 7495])).
% 49.55/32.19 tff(7675,plain,(m_processor_v_snoop(c_p1, s1, c_invalid) | node43(c_p1, s0) | node42(c_p1, s0)), inference(lemma,lemma(discharge,[]))).
% 49.55/32.19 tff(7676,plain,
% 49.55/32.19 ($false),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7675, 7669, 7656, 7458])).
% 49.55/32.19 tff(7677,plain,((~m_main_v_CMD(s0, c_idle)) | m_processor_v_snoop(c_p1, s1, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.55/32.19 tff(7678,plain,
% 49.55/32.19 (~m_main_v_CMD(s0, c_idle)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7677, 7458])).
% 49.55/32.19 tff(7679,assumption,(~m_main_v_CMD(s0, c_idle)), introduced(assumption)).
% 49.55/32.19 tff(7680,plain,
% 49.55/32.19 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~node12(s0)) | m_main_v_CMD(s0, c_idle))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~node12(s0)) | m_main_v_CMD(s0, c_idle))),
% 49.55/32.19 inference(rewrite,[status(thm)],[])).
% 49.55/32.19 tff(7681,plain,
% 49.55/32.19 ((m_main_v_CMD(s0, c_idle) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~node12(s0))) <=> ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~node12(s0)) | m_main_v_CMD(s0, c_idle))),
% 49.55/32.19 inference(rewrite,[status(thm)],[])).
% 49.55/32.19 tff(7682,plain,
% 49.55/32.19 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s0, c_idle) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~node12(s0)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~node12(s0)) | m_main_v_CMD(s0, c_idle)))),
% 49.55/32.19 inference(monotonicity,[status(thm)],[7681])).
% 49.55/32.19 tff(7683,plain,
% 49.55/32.19 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s0, c_idle) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~node12(s0)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~node12(s0)) | m_main_v_CMD(s0, c_idle))),
% 49.55/32.19 inference(transitivity,[status(thm)],[7682, 7680])).
% 49.55/32.19 tff(7684,plain,
% 49.55/32.19 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s0, c_idle) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~node12(s0)))),
% 49.55/32.19 inference(quant_inst,[status(thm)],[])).
% 49.55/32.19 tff(7685,plain,
% 49.55/32.19 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~node12(s0)) | m_main_v_CMD(s0, c_idle)),
% 49.55/32.19 inference(modus_ponens,[status(thm)],[7684, 7683])).
% 49.55/32.19 tff(7686,plain,
% 49.55/32.19 ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~node12(s0))),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7685, 2128, 7679])).
% 49.55/32.19 tff(7687,plain,
% 49.55/32.19 (~node12(s0)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7686, 4234])).
% 49.55/32.19 tff(7688,plain,
% 49.55/32.19 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~node8(s0)) | m_main_v_CMD(s0, c_idle))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~node8(s0)) | m_main_v_CMD(s0, c_idle))),
% 49.55/32.19 inference(rewrite,[status(thm)],[])).
% 49.55/32.19 tff(7689,plain,
% 49.55/32.19 ((m_main_v_CMD(s0, c_idle) | (~node8(s0)) | (~m_processor_v_cmd(c_p0, s0, c_idle))) <=> ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~node8(s0)) | m_main_v_CMD(s0, c_idle))),
% 49.55/32.19 inference(rewrite,[status(thm)],[])).
% 49.55/32.19 tff(7690,plain,
% 49.55/32.19 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s0, c_idle) | (~node8(s0)) | (~m_processor_v_cmd(c_p0, s0, c_idle)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~node8(s0)) | m_main_v_CMD(s0, c_idle)))),
% 49.55/32.19 inference(monotonicity,[status(thm)],[7689])).
% 49.55/32.19 tff(7691,plain,
% 49.55/32.19 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s0, c_idle) | (~node8(s0)) | (~m_processor_v_cmd(c_p0, s0, c_idle)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~node8(s0)) | m_main_v_CMD(s0, c_idle))),
% 49.55/32.19 inference(transitivity,[status(thm)],[7690, 7688])).
% 49.55/32.19 tff(7692,plain,
% 49.55/32.19 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s0, c_idle) | (~node8(s0)) | (~m_processor_v_cmd(c_p0, s0, c_idle)))),
% 49.55/32.19 inference(quant_inst,[status(thm)],[])).
% 49.55/32.19 tff(7693,plain,
% 49.55/32.19 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~node8(s0)) | m_main_v_CMD(s0, c_idle)),
% 49.55/32.19 inference(modus_ponens,[status(thm)],[7692, 7691])).
% 49.55/32.19 tff(7694,plain,
% 49.55/32.19 ((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~node8(s0))),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7693, 1669, 7679])).
% 49.55/32.19 tff(7695,plain,
% 49.55/32.19 (~node8(s0)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7694, 4234])).
% 49.55/32.19 tff(7696,plain,
% 49.55/32.19 (~m_processor_v_cmd(c_p2, s0, c_idle)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[4432, 7695, 2880])).
% 49.55/32.19 tff(7697,assumption,(node9(s0)), introduced(assumption)).
% 49.55/32.19 tff(7698,plain,
% 49.55/32.19 (((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | ((~node9(s0)) | m_processor_v_cmd(c_p2, s0, c_idle))) <=> ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | (~node9(s0)) | m_processor_v_cmd(c_p2, s0, c_idle))),
% 49.55/32.19 inference(rewrite,[status(thm)],[])).
% 49.55/32.19 tff(7699,plain,
% 49.55/32.19 ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | ((~node9(s0)) | m_processor_v_cmd(c_p2, s0, c_idle))),
% 49.55/32.19 inference(quant_inst,[status(thm)],[])).
% 49.55/32.19 tff(7700,plain,
% 49.55/32.19 ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | (~node9(s0)) | m_processor_v_cmd(c_p2, s0, c_idle)),
% 49.55/32.19 inference(modus_ponens,[status(thm)],[7699, 7698])).
% 49.55/32.19 tff(7701,plain,
% 49.55/32.19 ($false),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7700, 2146, 4045, 7697])).
% 49.55/32.19 tff(7702,plain,((~node9(s0)) | m_processor_v_cmd(c_p2, s0, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.55/32.19 tff(7703,plain,
% 49.55/32.19 (~node9(s0)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7702, 7696])).
% 49.55/32.19 tff(7704,assumption,(node11(s0)), introduced(assumption)).
% 49.55/32.19 tff(7705,plain,
% 49.55/32.19 (((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | ((~node11(s0)) | m_processor_v_cmd(c_p2, s0, c_idle))) <=> ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (~node11(s0)) | m_processor_v_cmd(c_p2, s0, c_idle))),
% 49.55/32.19 inference(rewrite,[status(thm)],[])).
% 49.55/32.19 tff(7706,plain,
% 49.55/32.19 ((m_processor_v_cmd(c_p2, s0, c_idle) | (~node11(s0))) <=> ((~node11(s0)) | m_processor_v_cmd(c_p2, s0, c_idle))),
% 49.55/32.19 inference(rewrite,[status(thm)],[])).
% 49.55/32.19 tff(7707,plain,
% 49.55/32.19 (((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (m_processor_v_cmd(c_p2, s0, c_idle) | (~node11(s0)))) <=> ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | ((~node11(s0)) | m_processor_v_cmd(c_p2, s0, c_idle)))),
% 49.55/32.19 inference(monotonicity,[status(thm)],[7706])).
% 49.55/32.19 tff(7708,plain,
% 49.55/32.19 (((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (m_processor_v_cmd(c_p2, s0, c_idle) | (~node11(s0)))) <=> ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (~node11(s0)) | m_processor_v_cmd(c_p2, s0, c_idle))),
% 49.55/32.19 inference(transitivity,[status(thm)],[7707, 7705])).
% 49.55/32.19 tff(7709,plain,
% 49.55/32.19 ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (m_processor_v_cmd(c_p2, s0, c_idle) | (~node11(s0)))),
% 49.55/32.19 inference(quant_inst,[status(thm)],[])).
% 49.55/32.19 tff(7710,plain,
% 49.55/32.19 ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (~node11(s0)) | m_processor_v_cmd(c_p2, s0, c_idle)),
% 49.55/32.19 inference(modus_ponens,[status(thm)],[7709, 7708])).
% 49.55/32.19 tff(7711,plain,
% 49.55/32.19 ($false),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7710, 2157, 4045, 7704])).
% 49.55/32.19 tff(7712,plain,((~node11(s0)) | m_processor_v_cmd(c_p2, s0, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.55/32.19 tff(7713,plain,
% 49.55/32.19 (~node11(s0)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7712, 7696])).
% 49.55/32.19 tff(7714,assumption,(~node11(s0)), introduced(assumption)).
% 49.55/32.19 tff(7715,assumption,(~node12(s0)), introduced(assumption)).
% 49.55/32.19 tff(7716,plain,
% 49.55/32.19 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | node12(s0) | node11(s0) | node9(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | node12(s0) | node11(s0) | node9(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle)))),
% 49.55/32.19 inference(rewrite,[status(thm)],[])).
% 49.55/32.19 tff(7717,plain,
% 49.55/32.19 ((node9(s0) | node11(s0) | node12(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_idle))) <=> ((~m_processor_v_cmd(c_p0, s0, c_idle)) | node12(s0) | node11(s0) | node9(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle)))),
% 49.55/32.19 inference(rewrite,[status(thm)],[])).
% 49.55/32.19 tff(7718,plain,
% 49.55/32.19 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s0) | node11(s0) | node12(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | ((~m_processor_v_cmd(c_p0, s0, c_idle)) | node12(s0) | node11(s0) | node9(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle))))),
% 49.55/32.19 inference(monotonicity,[status(thm)],[7717])).
% 49.55/32.19 tff(7719,plain,
% 49.55/32.19 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s0) | node11(s0) | node12(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | node12(s0) | node11(s0) | node9(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle)))),
% 49.55/32.19 inference(transitivity,[status(thm)],[7718, 7716])).
% 49.55/32.19 tff(7720,plain,
% 49.55/32.19 ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s0) | node11(s0) | node12(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_idle)))),
% 49.55/32.19 inference(quant_inst,[status(thm)],[])).
% 49.55/32.19 tff(7721,plain,
% 49.55/32.19 ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | node12(s0) | node11(s0) | node9(s0) | (~m_memory_v_cmd(c_m, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle))),
% 49.55/32.19 inference(modus_ponens,[status(thm)],[7720, 7719])).
% 49.55/32.19 tff(7722,plain,
% 49.55/32.19 ($false),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7721, 2171, 4234, 2880, 4269, 7715, 7714, 4244])).
% 49.55/32.19 tff(7723,plain,(node9(s0) | (~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle)) | node12(s0) | node11(s0)), inference(lemma,lemma(discharge,[]))).
% 49.55/32.19 tff(7724,plain,
% 49.55/32.19 ($false),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7723, 7713, 7703, 2880, 4234, 7687])).
% 49.55/32.19 tff(7725,plain,((~m_processor_v_cmd(c_p0, s0, c_idle)) | (~m_processor_v_cmd(c_p1, s0, c_idle)) | m_main_v_CMD(s0, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.55/32.19 tff(7726,plain,
% 49.55/32.19 (~m_processor_v_cmd(c_p0, s0, c_idle)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7725, 7678, 7642])).
% 49.55/32.19 tff(7727,plain,
% 49.55/32.19 (node62(c_p0, s0)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[4166, 7726])).
% 49.55/32.19 tff(7728,plain,
% 49.55/32.19 (m_processor_v_master(c_p0, s0)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[4129, 1493, 7727])).
% 49.55/32.19 tff(7729,plain,
% 49.55/32.19 (node60(c_p1, s0)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[3985, 7526])).
% 49.55/32.19 tff(7730,plain,
% 49.55/32.19 (~m_processor_v_REPLY_h_STALL(c_p1, s0)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[3993, 7729])).
% 49.55/32.19 tff(7731,plain,
% 49.55/32.19 (~m_main_v_REPLY_h_STALL(s0)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[4001, 7730])).
% 49.55/32.19 tff(7732,assumption,(m_processor_v_REPLY_h_STALL(c_p0, s0)), introduced(assumption)).
% 49.55/32.19 tff(7733,plain,
% 49.55/32.19 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | (m_main_v_REPLY_h_STALL(s0) | (~m_processor_v_REPLY_h_STALL(c_p0, s0)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | m_main_v_REPLY_h_STALL(s0) | (~m_processor_v_REPLY_h_STALL(c_p0, s0)))),
% 49.55/32.19 inference(rewrite,[status(thm)],[])).
% 49.55/32.19 tff(7734,plain,
% 49.55/32.19 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | (m_main_v_REPLY_h_STALL(s0) | (~m_processor_v_REPLY_h_STALL(c_p0, s0)))),
% 49.55/32.19 inference(quant_inst,[status(thm)],[])).
% 49.55/32.19 tff(7735,plain,
% 49.55/32.19 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | m_main_v_REPLY_h_STALL(s0) | (~m_processor_v_REPLY_h_STALL(c_p0, s0))),
% 49.55/32.19 inference(modus_ponens,[status(thm)],[7734, 7733])).
% 49.55/32.19 tff(7736,plain,
% 49.55/32.19 ($false),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7735, 1729, 4004, 7732])).
% 49.55/32.19 tff(7737,plain,((~m_processor_v_REPLY_h_STALL(c_p0, s0)) | m_main_v_REPLY_h_STALL(s0)), inference(lemma,lemma(discharge,[]))).
% 49.55/32.19 tff(7738,plain,
% 49.55/32.19 (~m_processor_v_REPLY_h_STALL(c_p0, s0)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7737, 7731])).
% 49.55/32.19 tff(7739,assumption,(~node60(c_p0, s0)), introduced(assumption)).
% 49.55/32.19 tff(7740,plain,
% 49.55/32.19 (((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p0, s0) | node60(c_p0, s0))) <=> ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p0, s0) | node60(c_p0, s0))),
% 49.55/32.19 inference(rewrite,[status(thm)],[])).
% 49.55/32.19 tff(7741,plain,
% 49.55/32.19 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p0, s0) | node60(c_p0, s0))),
% 49.55/32.19 inference(quant_inst,[status(thm)],[])).
% 49.55/32.19 tff(7742,plain,
% 49.55/32.19 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p0, s0) | node60(c_p0, s0)),
% 49.55/32.19 inference(modus_ponens,[status(thm)],[7741, 7740])).
% 49.55/32.19 tff(7743,plain,
% 49.55/32.19 ($false),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7742, 693, 2849, 7739])).
% 49.55/32.19 tff(7744,plain,(node60(c_p0, s0) | m_processor_v_abort(c_p0, s0)), inference(lemma,lemma(discharge,[]))).
% 49.55/32.19 tff(7745,plain,
% 49.55/32.19 (node60(c_p0, s0)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7744, 2821])).
% 49.55/32.19 tff(7746,assumption,(node60(c_p0, s0)), introduced(assumption)).
% 49.55/32.19 tff(7747,plain,
% 49.55/32.19 (((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p0, s0)) | (~node60(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p0, s0)) | (~node60(c_p0, s0)))),
% 49.55/32.19 inference(rewrite,[status(thm)],[])).
% 49.55/32.19 tff(7748,plain,
% 49.55/32.19 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p0, s0)) | (~node60(c_p0, s0)))),
% 49.55/32.19 inference(quant_inst,[status(thm)],[])).
% 49.55/32.19 tff(7749,plain,
% 49.55/32.19 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p0, s0)) | (~node60(c_p0, s0))),
% 49.55/32.19 inference(modus_ponens,[status(thm)],[7748, 7747])).
% 49.55/32.19 tff(7750,plain,
% 49.55/32.19 (~m_processor_v_REPLY_h_STALL(c_p0, s0)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7749, 1363, 7746])).
% 49.55/32.19 tff(7751,assumption,(~m_processor_v_REPLY_h_STALL(c_p0, s0)), introduced(assumption)).
% 49.55/32.19 tff(7752,plain,
% 49.55/32.19 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | ((~m_main_v_REPLY_h_STALL(s0)) | m_processor_v_REPLY_h_STALL(c_p0, s0))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | (~m_main_v_REPLY_h_STALL(s0)) | m_processor_v_REPLY_h_STALL(c_p0, s0))),
% 49.55/32.19 inference(rewrite,[status(thm)],[])).
% 49.55/32.19 tff(7753,plain,
% 49.55/32.19 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | ((~m_main_v_REPLY_h_STALL(s0)) | m_processor_v_REPLY_h_STALL(c_p0, s0))),
% 49.55/32.19 inference(quant_inst,[status(thm)],[])).
% 49.55/32.19 tff(7754,plain,
% 49.55/32.19 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | (~m_main_v_REPLY_h_STALL(s0)) | m_processor_v_REPLY_h_STALL(c_p0, s0)),
% 49.55/32.19 inference(modus_ponens,[status(thm)],[7753, 7752])).
% 49.55/32.19 tff(7755,plain,
% 49.55/32.19 ($false),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7754, 1381, 7751, 3996])).
% 49.55/32.19 tff(7756,plain,((~m_main_v_REPLY_h_STALL(s0)) | m_processor_v_REPLY_h_STALL(c_p0, s0)), inference(lemma,lemma(discharge,[]))).
% 49.55/32.19 tff(7757,plain,
% 49.55/32.19 (~m_main_v_REPLY_h_STALL(s0)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7756, 7750])).
% 49.55/32.19 tff(7758,plain,
% 49.55/32.19 ($false),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[4017, 4014, 4003, 7757])).
% 49.55/32.19 tff(7759,plain,((~m_memory_v_REPLY_h_STALL(c_m, s0)) | (~node60(c_p0, s0))), inference(lemma,lemma(discharge,[]))).
% 49.55/32.19 tff(7760,plain,
% 49.55/32.19 (~m_memory_v_REPLY_h_STALL(c_m, s0)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7759, 7745])).
% 49.55/32.19 tff(7761,plain,
% 49.55/32.19 (node27(c_m, s0)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[4648, 7760, 4630, 4631])).
% 49.55/32.19 tff(7762,plain,
% 49.55/32.19 (m_memory_v_REPLY_h_WAITING(c_m, s0)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[4664, 7761])).
% 49.55/32.19 tff(7763,plain,
% 49.55/32.19 (m_main_v_REPLY_h_WAITING(s0)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[4682, 7762])).
% 49.55/32.19 tff(7764,assumption,(~m_processor_v_REPLY_h_WAITING(c_p0, s0)), introduced(assumption)).
% 49.55/32.19 tff(7765,plain,
% 49.55/32.19 (^[X: $i] : refl(((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X)) <=> ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X)))),
% 49.55/32.19 inference(bind,[status(th)],[])).
% 49.55/32.19 tff(7766,plain,
% 49.55/32.19 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))),
% 49.55/32.19 inference(quant_intro,[status(thm)],[7765])).
% 49.55/32.19 tff(7767,plain,
% 49.55/32.19 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))),
% 49.55/32.19 inference(rewrite,[status(thm)],[])).
% 49.55/32.19 tff(7768,plain,
% 49.55/32.19 (^[X: $i] : rewrite((m_processor_v_REPLY_h_WAITING(c_p0, X) | (~m_main_v_REPLY_h_WAITING(X))) <=> ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X)))),
% 49.55/32.19 inference(bind,[status(th)],[])).
% 49.55/32.19 tff(7769,plain,
% 49.55/32.19 (![X: $i] : (m_processor_v_REPLY_h_WAITING(c_p0, X) | (~m_main_v_REPLY_h_WAITING(X))) <=> ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))),
% 49.55/32.19 inference(quant_intro,[status(thm)],[7768])).
% 49.55/32.19 tff(7770,axiom,(![X: $i] : (m_processor_v_REPLY_h_WAITING(c_p0, X) | (~m_main_v_REPLY_h_WAITING(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_52')).
% 49.55/32.19 tff(7771,plain,
% 49.55/32.19 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))),
% 49.55/32.19 inference(modus_ponens,[status(thm)],[7770, 7769])).
% 49.55/32.19 tff(7772,plain,
% 49.55/32.19 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))),
% 49.55/32.19 inference(modus_ponens,[status(thm)],[7771, 7767])).
% 49.55/32.19 tff(7773,plain,(
% 49.55/32.19 ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))),
% 49.55/32.19 inference(skolemize,[status(sab)],[7772])).
% 49.55/32.19 tff(7774,plain,
% 49.55/32.19 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))),
% 49.55/32.19 inference(modus_ponens,[status(thm)],[7773, 7766])).
% 49.55/32.19 tff(7775,plain,
% 49.55/32.19 (((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | ((~m_main_v_REPLY_h_WAITING(s0)) | m_processor_v_REPLY_h_WAITING(c_p0, s0))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | (~m_main_v_REPLY_h_WAITING(s0)) | m_processor_v_REPLY_h_WAITING(c_p0, s0))),
% 49.55/32.19 inference(rewrite,[status(thm)],[])).
% 49.55/32.19 tff(7776,plain,
% 49.55/32.19 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | ((~m_main_v_REPLY_h_WAITING(s0)) | m_processor_v_REPLY_h_WAITING(c_p0, s0))),
% 49.55/32.19 inference(quant_inst,[status(thm)],[])).
% 49.55/32.19 tff(7777,plain,
% 49.55/32.19 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | (~m_main_v_REPLY_h_WAITING(s0)) | m_processor_v_REPLY_h_WAITING(c_p0, s0)),
% 49.55/32.19 inference(modus_ponens,[status(thm)],[7776, 7775])).
% 49.55/32.19 tff(7778,plain,
% 49.55/32.19 ($false),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7777, 7774, 4773, 7764])).
% 49.55/32.19 tff(7779,plain,(m_processor_v_REPLY_h_WAITING(c_p0, s0) | (~m_main_v_REPLY_h_WAITING(s0))), inference(lemma,lemma(discharge,[]))).
% 49.55/32.19 tff(7780,plain,
% 49.55/32.19 (m_processor_v_REPLY_h_WAITING(c_p0, s0)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7779, 7763])).
% 49.55/32.19 tff(7781,assumption,(~node59(c_p0, s0)), introduced(assumption)).
% 49.55/32.19 tff(7782,assumption,(m_processor_v_REPLY_h_WAITING(c_p0, s0)), introduced(assumption)).
% 49.55/32.19 tff(7783,plain,
% 49.55/32.19 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s0) | (~node60(c_p0, s0)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | node59(c_p0, s0) | (~node60(c_p0, s0)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s0)))),
% 49.55/32.19 inference(rewrite,[status(thm)],[])).
% 49.55/32.19 tff(7784,plain,
% 49.55/32.19 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s0) | (~node60(c_p0, s0)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s0)))),
% 49.55/32.19 inference(quant_inst,[status(thm)],[])).
% 49.55/32.19 tff(7785,plain,
% 49.55/32.19 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | node59(c_p0, s0) | (~node60(c_p0, s0)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s0))),
% 49.55/32.19 inference(modus_ponens,[status(thm)],[7784, 7783])).
% 49.55/32.19 tff(7786,plain,
% 49.55/32.19 ($false),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7785, 724, 7746, 7782, 7781])).
% 49.55/32.19 tff(7787,plain,(node59(c_p0, s0) | (~node60(c_p0, s0)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s0))), inference(lemma,lemma(discharge,[]))).
% 49.55/32.19 tff(7788,plain,
% 49.55/32.19 (node59(c_p0, s0)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7787, 7745, 7780])).
% 49.55/32.19 tff(7789,plain,
% 49.55/32.19 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s0, c_read_h_shared)) | (~node59(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)) | (~node59(c_p0, s0)))),
% 49.55/32.19 inference(rewrite,[status(thm)],[])).
% 49.55/32.19 tff(7790,plain,
% 49.55/32.19 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s0, c_read_h_shared)) | (~node59(c_p0, s0)))),
% 49.55/32.19 inference(quant_inst,[status(thm)],[])).
% 49.55/32.19 tff(7791,plain,
% 49.55/32.19 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)) | (~node59(c_p0, s0))),
% 49.55/32.19 inference(modus_ponens,[status(thm)],[7790, 7789])).
% 49.55/32.19 tff(7792,plain,
% 49.55/32.19 (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7791, 3834, 7788])).
% 49.55/32.19 tff(7793,plain,
% 49.55/32.19 (~m_main_v_CMD(s0, c_read_h_shared)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[2876, 7792])).
% 49.55/32.19 tff(7794,plain,
% 49.55/32.19 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s0, c_read_h_owned)) | (~node59(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s0, c_read_h_owned)) | (~node59(c_p0, s0)))),
% 49.55/32.19 inference(rewrite,[status(thm)],[])).
% 49.55/32.19 tff(7795,plain,
% 49.55/32.19 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s0, c_read_h_owned)) | (~node59(c_p0, s0)))),
% 49.55/32.19 inference(quant_inst,[status(thm)],[])).
% 49.55/32.19 tff(7796,plain,
% 49.55/32.19 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s0, c_read_h_owned)) | (~node59(c_p0, s0))),
% 49.55/32.19 inference(modus_ponens,[status(thm)],[7795, 7794])).
% 49.55/32.19 tff(7797,plain,
% 49.55/32.19 (~m_processor_v_CMD(c_p0, s0, c_read_h_owned)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7796, 707, 7788])).
% 49.55/32.19 tff(7798,plain,
% 49.55/32.19 (~m_main_v_CMD(s0, c_read_h_owned)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[3040, 7797])).
% 49.55/32.19 tff(7799,plain,
% 49.55/32.19 ($false),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[3029, 7798, 7793, 2847])).
% 49.55/32.19 tff(7800,plain,(m_processor_v_state(c_p0, s1, c_invalid) | node28(c_m, s0) | (~m_memory_v_abort(c_m, s0))), inference(lemma,lemma(discharge,[]))).
% 49.55/32.19 tff(7801,plain,
% 49.55/32.19 (m_processor_v_state(c_p0, s1, c_invalid) | (~m_memory_v_abort(c_m, s0))),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7800, 4629])).
% 49.55/32.19 tff(7802,plain,
% 49.55/32.19 (~m_memory_v_abort(c_m, s0)),
% 49.55/32.19 inference(unit_resolution,[status(thm)],[7801, 2782])).
% 49.55/32.19 tff(7803,assumption,(~node26(c_m, s0)), introduced(assumption)).
% 49.55/32.19 tff(7804,plain,
% 49.55/32.19 (^[I0: $i, X: $i] : refl((m_memory_v_abort(I0, X) | node26(I0, X)) <=> (m_memory_v_abort(I0, X) | node26(I0, X)))),
% 49.55/32.19 inference(bind,[status(th)],[])).
% 49.55/32.19 tff(7805,plain,
% 49.55/32.19 (![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X)) <=> ![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))),
% 49.55/32.19 inference(quant_intro,[status(thm)],[7804])).
% 49.55/32.19 tff(7806,plain,
% 49.55/32.19 (![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X)) <=> ![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))),
% 49.55/32.19 inference(rewrite,[status(thm)],[])).
% 49.55/32.19 tff(7807,axiom,(![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_67')).
% 49.55/32.19 tff(7808,plain,
% 49.55/32.19 (![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))),
% 49.55/32.19 inference(modus_ponens,[status(thm)],[7807, 7806])).
% 49.55/32.19 tff(7809,plain,(
% 49.55/32.19 ![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))),
% 49.55/32.19 inference(skolemize,[status(sab)],[7808])).
% 49.55/32.19 tff(7810,plain,
% 49.55/32.19 (![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))),
% 49.55/32.19 inference(modus_ponens,[status(thm)],[7809, 7805])).
% 49.55/32.19 tff(7811,plain,
% 49.55/32.19 (((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | (m_memory_v_abort(c_m, s0) | node26(c_m, s0))) <=> ((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | m_memory_v_abort(c_m, s0) | node26(c_m, s0))),
% 49.55/32.19 inference(rewrite,[status(thm)],[])).
% 49.55/32.19 tff(7812,plain,
% 49.55/32.19 ((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | (m_memory_v_abort(c_m, s0) | node26(c_m, s0))),
% 49.55/32.19 inference(quant_inst,[status(thm)],[])).
% 49.55/32.19 tff(7813,plain,
% 49.55/32.19 ((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | m_memory_v_abort(c_m, s0) | node26(c_m, s0)),
% 49.55/32.20 inference(modus_ponens,[status(thm)],[7812, 7811])).
% 49.55/32.20 tff(7814,plain,
% 49.55/32.20 ($false),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7813, 7810, 7803, 4468])).
% 49.55/32.20 tff(7815,plain,(m_memory_v_abort(c_m, s0) | node26(c_m, s0)), inference(lemma,lemma(discharge,[]))).
% 49.55/32.20 tff(7816,plain,
% 49.55/32.20 (node26(c_m, s0)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7815, 7802])).
% 49.55/32.20 tff(7817,assumption,(node26(c_m, s0)), introduced(assumption)).
% 49.55/32.20 tff(7818,plain,
% 49.55/32.20 (^[I0: $i, X: $i] : refl(((~m_memory_v_REPLY_h_STALL(I0, X)) | (~node26(I0, X))) <=> ((~m_memory_v_REPLY_h_STALL(I0, X)) | (~node26(I0, X))))),
% 49.55/32.20 inference(bind,[status(th)],[])).
% 49.55/32.20 tff(7819,plain,
% 49.55/32.20 (![I0: $i, X: $i] : ((~m_memory_v_REPLY_h_STALL(I0, X)) | (~node26(I0, X))) <=> ![I0: $i, X: $i] : ((~m_memory_v_REPLY_h_STALL(I0, X)) | (~node26(I0, X)))),
% 49.55/32.20 inference(quant_intro,[status(thm)],[7818])).
% 49.55/32.20 tff(7820,plain,
% 49.55/32.20 (![I0: $i, X: $i] : ((~m_memory_v_REPLY_h_STALL(I0, X)) | (~node26(I0, X))) <=> ![I0: $i, X: $i] : ((~m_memory_v_REPLY_h_STALL(I0, X)) | (~node26(I0, X)))),
% 49.55/32.20 inference(rewrite,[status(thm)],[])).
% 49.55/32.20 tff(7821,axiom,(![I0: $i, X: $i] : ((~m_memory_v_REPLY_h_STALL(I0, X)) | (~node26(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_60')).
% 49.55/32.20 tff(7822,plain,
% 49.55/32.20 (![I0: $i, X: $i] : ((~m_memory_v_REPLY_h_STALL(I0, X)) | (~node26(I0, X)))),
% 49.55/32.20 inference(modus_ponens,[status(thm)],[7821, 7820])).
% 49.55/32.20 tff(7823,plain,(
% 49.55/32.20 ![I0: $i, X: $i] : ((~m_memory_v_REPLY_h_STALL(I0, X)) | (~node26(I0, X)))),
% 49.55/32.20 inference(skolemize,[status(sab)],[7822])).
% 49.55/32.20 tff(7824,plain,
% 49.55/32.20 (![I0: $i, X: $i] : ((~m_memory_v_REPLY_h_STALL(I0, X)) | (~node26(I0, X)))),
% 49.55/32.20 inference(modus_ponens,[status(thm)],[7823, 7819])).
% 49.55/32.20 tff(7825,plain,
% 49.55/32.20 (((~![I0: $i, X: $i] : ((~m_memory_v_REPLY_h_STALL(I0, X)) | (~node26(I0, X)))) | ((~m_memory_v_REPLY_h_STALL(c_m, s0)) | (~node26(c_m, s0)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_REPLY_h_STALL(I0, X)) | (~node26(I0, X)))) | (~m_memory_v_REPLY_h_STALL(c_m, s0)) | (~node26(c_m, s0)))),
% 49.55/32.20 inference(rewrite,[status(thm)],[])).
% 49.55/32.20 tff(7826,plain,
% 49.55/32.20 ((~![I0: $i, X: $i] : ((~m_memory_v_REPLY_h_STALL(I0, X)) | (~node26(I0, X)))) | ((~m_memory_v_REPLY_h_STALL(c_m, s0)) | (~node26(c_m, s0)))),
% 49.55/32.20 inference(quant_inst,[status(thm)],[])).
% 49.55/32.20 tff(7827,plain,
% 49.55/32.20 ((~![I0: $i, X: $i] : ((~m_memory_v_REPLY_h_STALL(I0, X)) | (~node26(I0, X)))) | (~m_memory_v_REPLY_h_STALL(c_m, s0)) | (~node26(c_m, s0))),
% 49.55/32.20 inference(modus_ponens,[status(thm)],[7826, 7825])).
% 49.55/32.20 tff(7828,plain,
% 49.55/32.20 ($false),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7827, 7824, 4003, 7817])).
% 49.55/32.20 tff(7829,plain,((~m_memory_v_REPLY_h_STALL(c_m, s0)) | (~node26(c_m, s0))), inference(lemma,lemma(discharge,[]))).
% 49.55/32.20 tff(7830,plain,
% 49.55/32.20 (~m_memory_v_REPLY_h_STALL(c_m, s0)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7829, 7816])).
% 49.55/32.20 tff(7831,plain,
% 49.55/32.20 (^[X: $i] : refl(((~m_main_v_REPLY_h_STALL(X)) | m_memory_v_REPLY_h_STALL(c_m, X)) <=> ((~m_main_v_REPLY_h_STALL(X)) | m_memory_v_REPLY_h_STALL(c_m, X)))),
% 49.55/32.20 inference(bind,[status(th)],[])).
% 49.55/32.20 tff(7832,plain,
% 49.55/32.20 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_memory_v_REPLY_h_STALL(c_m, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_memory_v_REPLY_h_STALL(c_m, X))),
% 49.55/32.20 inference(quant_intro,[status(thm)],[7831])).
% 49.55/32.20 tff(7833,plain,
% 49.55/32.20 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_memory_v_REPLY_h_STALL(c_m, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_memory_v_REPLY_h_STALL(c_m, X))),
% 49.55/32.20 inference(rewrite,[status(thm)],[])).
% 49.55/32.20 tff(7834,plain,
% 49.55/32.20 (^[X: $i] : rewrite((m_memory_v_REPLY_h_STALL(c_m, X) | (~m_main_v_REPLY_h_STALL(X))) <=> ((~m_main_v_REPLY_h_STALL(X)) | m_memory_v_REPLY_h_STALL(c_m, X)))),
% 49.55/32.20 inference(bind,[status(th)],[])).
% 49.55/32.20 tff(7835,plain,
% 49.55/32.20 (![X: $i] : (m_memory_v_REPLY_h_STALL(c_m, X) | (~m_main_v_REPLY_h_STALL(X))) <=> ![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_memory_v_REPLY_h_STALL(c_m, X))),
% 49.55/32.20 inference(quant_intro,[status(thm)],[7834])).
% 49.55/32.20 tff(7836,axiom,(![X: $i] : (m_memory_v_REPLY_h_STALL(c_m, X) | (~m_main_v_REPLY_h_STALL(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_45')).
% 49.55/32.20 tff(7837,plain,
% 49.55/32.20 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_memory_v_REPLY_h_STALL(c_m, X))),
% 49.55/32.20 inference(modus_ponens,[status(thm)],[7836, 7835])).
% 49.55/32.20 tff(7838,plain,
% 49.55/32.20 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_memory_v_REPLY_h_STALL(c_m, X))),
% 49.55/32.20 inference(modus_ponens,[status(thm)],[7837, 7833])).
% 49.55/32.20 tff(7839,plain,(
% 49.55/32.20 ![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_memory_v_REPLY_h_STALL(c_m, X))),
% 49.55/32.20 inference(skolemize,[status(sab)],[7838])).
% 49.55/32.20 tff(7840,plain,
% 49.55/32.20 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_memory_v_REPLY_h_STALL(c_m, X))),
% 49.55/32.20 inference(modus_ponens,[status(thm)],[7839, 7832])).
% 49.55/32.20 tff(7841,plain,
% 49.55/32.20 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_memory_v_REPLY_h_STALL(c_m, X))) | ((~m_main_v_REPLY_h_STALL(s0)) | m_memory_v_REPLY_h_STALL(c_m, s0))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_memory_v_REPLY_h_STALL(c_m, X))) | (~m_main_v_REPLY_h_STALL(s0)) | m_memory_v_REPLY_h_STALL(c_m, s0))),
% 49.55/32.20 inference(rewrite,[status(thm)],[])).
% 49.55/32.20 tff(7842,plain,
% 49.55/32.20 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_memory_v_REPLY_h_STALL(c_m, X))) | ((~m_main_v_REPLY_h_STALL(s0)) | m_memory_v_REPLY_h_STALL(c_m, s0))),
% 49.55/32.20 inference(quant_inst,[status(thm)],[])).
% 49.55/32.20 tff(7843,plain,
% 49.55/32.20 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_memory_v_REPLY_h_STALL(c_m, X))) | (~m_main_v_REPLY_h_STALL(s0)) | m_memory_v_REPLY_h_STALL(c_m, s0)),
% 49.55/32.20 inference(modus_ponens,[status(thm)],[7842, 7841])).
% 49.55/32.20 tff(7844,plain,
% 49.55/32.20 ($false),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7843, 7840, 3996, 4633])).
% 49.55/32.20 tff(7845,plain,(m_memory_v_REPLY_h_STALL(c_m, s0) | (~m_main_v_REPLY_h_STALL(s0))), inference(lemma,lemma(discharge,[]))).
% 49.55/32.20 tff(7846,plain,
% 49.55/32.20 (~m_main_v_REPLY_h_STALL(s0)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7845, 7830])).
% 49.55/32.20 tff(7847,plain,
% 49.55/32.20 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | (m_main_v_REPLY_h_STALL(s0) | (~m_processor_v_REPLY_h_STALL(c_p1, s0)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | m_main_v_REPLY_h_STALL(s0) | (~m_processor_v_REPLY_h_STALL(c_p1, s0)))),
% 49.55/32.20 inference(rewrite,[status(thm)],[])).
% 49.55/32.20 tff(7848,plain,
% 49.55/32.20 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | (m_main_v_REPLY_h_STALL(s0) | (~m_processor_v_REPLY_h_STALL(c_p1, s0)))),
% 49.55/32.20 inference(quant_inst,[status(thm)],[])).
% 49.55/32.20 tff(7849,plain,
% 49.55/32.20 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | m_main_v_REPLY_h_STALL(s0) | (~m_processor_v_REPLY_h_STALL(c_p1, s0))),
% 49.55/32.20 inference(modus_ponens,[status(thm)],[7848, 7847])).
% 49.55/32.20 tff(7850,plain,
% 49.55/32.20 ($false),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7849, 1399, 4004, 3987])).
% 49.55/32.20 tff(7851,plain,(m_main_v_REPLY_h_STALL(s0) | (~m_processor_v_REPLY_h_STALL(c_p1, s0))), inference(lemma,lemma(discharge,[]))).
% 49.55/32.20 tff(7852,plain,
% 49.55/32.20 (~m_processor_v_REPLY_h_STALL(c_p1, s0)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7851, 7846])).
% 49.55/32.20 tff(7853,assumption,(m_processor_v_CMD(c_p0, s0, c_read_h_shared)), introduced(assumption)).
% 49.55/32.20 tff(7854,plain,
% 49.55/32.20 (~node59(c_p0, s0)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7791, 3834, 7853])).
% 49.55/32.20 tff(7855,plain,
% 49.55/32.20 (~m_processor_v_REPLY_h_WAITING(c_p0, s0)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7787, 7854, 7746])).
% 49.55/32.20 tff(7856,plain,
% 49.55/32.20 (~m_main_v_REPLY_h_WAITING(s0)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7779, 7855])).
% 49.55/32.20 tff(7857,plain,
% 49.55/32.20 (^[X: $i] : refl((m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X))) <=> (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X))))),
% 49.55/32.20 inference(bind,[status(th)],[])).
% 49.55/32.20 tff(7858,plain,
% 49.55/32.20 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X))) <=> ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))),
% 49.55/32.20 inference(quant_intro,[status(thm)],[7857])).
% 49.55/32.20 tff(7859,plain,
% 49.55/32.20 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X))) <=> ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))),
% 49.55/32.20 inference(rewrite,[status(thm)],[])).
% 49.55/32.20 tff(7860,plain,
% 49.55/32.20 (^[X: $i] : rewrite(((~m_processor_v_REPLY_h_WAITING(c_p1, X)) | m_main_v_REPLY_h_WAITING(X)) <=> (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X))))),
% 49.55/32.20 inference(bind,[status(th)],[])).
% 49.55/32.20 tff(7861,plain,
% 49.55/32.20 (![X: $i] : ((~m_processor_v_REPLY_h_WAITING(c_p1, X)) | m_main_v_REPLY_h_WAITING(X)) <=> ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))),
% 49.55/32.20 inference(quant_intro,[status(thm)],[7860])).
% 49.55/32.20 tff(7862,axiom,(![X: $i] : ((~m_processor_v_REPLY_h_WAITING(c_p1, X)) | m_main_v_REPLY_h_WAITING(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_62')).
% 49.55/32.20 tff(7863,plain,
% 49.55/32.20 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))),
% 49.55/32.20 inference(modus_ponens,[status(thm)],[7862, 7861])).
% 49.55/32.20 tff(7864,plain,
% 49.55/32.20 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))),
% 49.55/32.20 inference(modus_ponens,[status(thm)],[7863, 7859])).
% 49.55/32.20 tff(7865,plain,(
% 49.55/32.20 ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))),
% 49.55/32.20 inference(skolemize,[status(sab)],[7864])).
% 49.55/32.20 tff(7866,plain,
% 49.55/32.20 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))),
% 49.55/32.20 inference(modus_ponens,[status(thm)],[7865, 7858])).
% 49.55/32.20 tff(7867,plain,
% 49.55/32.20 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | (m_main_v_REPLY_h_WAITING(s0) | (~m_processor_v_REPLY_h_WAITING(c_p1, s0)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | m_main_v_REPLY_h_WAITING(s0) | (~m_processor_v_REPLY_h_WAITING(c_p1, s0)))),
% 49.55/32.20 inference(rewrite,[status(thm)],[])).
% 49.55/32.20 tff(7868,plain,
% 49.55/32.20 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | (m_main_v_REPLY_h_WAITING(s0) | (~m_processor_v_REPLY_h_WAITING(c_p1, s0)))),
% 49.55/32.20 inference(quant_inst,[status(thm)],[])).
% 49.55/32.20 tff(7869,plain,
% 49.55/32.20 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | m_main_v_REPLY_h_WAITING(s0) | (~m_processor_v_REPLY_h_WAITING(c_p1, s0))),
% 49.55/32.20 inference(modus_ponens,[status(thm)],[7868, 7867])).
% 49.55/32.20 tff(7870,plain,
% 49.55/32.20 ($false),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7869, 7866, 4666, 4765])).
% 49.55/32.20 tff(7871,plain,(m_main_v_REPLY_h_WAITING(s0) | (~m_processor_v_REPLY_h_WAITING(c_p1, s0))), inference(lemma,lemma(discharge,[]))).
% 49.55/32.20 tff(7872,plain,
% 49.55/32.20 (~m_processor_v_REPLY_h_WAITING(c_p1, s0)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7871, 7856])).
% 49.55/32.20 tff(7873,assumption,(node61(c_p1, s0)), introduced(assumption)).
% 49.55/32.20 tff(7874,plain,
% 49.55/32.20 (((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p1, s0) | (~node61(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p1, s0) | (~node61(c_p1, s0)))),
% 49.55/32.20 inference(rewrite,[status(thm)],[])).
% 49.55/32.20 tff(7875,plain,
% 49.55/32.20 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p1, s0) | (~node61(c_p1, s0)))),
% 49.55/32.20 inference(quant_inst,[status(thm)],[])).
% 49.55/32.20 tff(7876,plain,
% 49.55/32.20 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p1, s0) | (~node61(c_p1, s0))),
% 49.55/32.20 inference(modus_ponens,[status(thm)],[7875, 7874])).
% 49.55/32.20 tff(7877,plain,
% 49.55/32.20 ($false),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7876, 1891, 7873, 4772])).
% 49.55/32.20 tff(7878,plain,((~node61(c_p1, s0)) | m_processor_v_REPLY_h_WAITING(c_p1, s0)), inference(lemma,lemma(discharge,[]))).
% 49.55/32.20 tff(7879,plain,
% 49.55/32.20 (~node61(c_p1, s0)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7878, 7872])).
% 49.55/32.20 tff(7880,assumption,(~node61(c_p1, s0)), introduced(assumption)).
% 49.55/32.20 tff(7881,plain,
% 49.55/32.20 (((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p1, s0)) | m_processor_v_REPLY_h_STALL(c_p1, s0) | node61(c_p1, s0))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p1, s0)) | m_processor_v_REPLY_h_STALL(c_p1, s0) | node61(c_p1, s0))),
% 49.55/32.20 inference(rewrite,[status(thm)],[])).
% 49.55/32.20 tff(7882,plain,
% 49.55/32.20 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p1, s0)) | m_processor_v_REPLY_h_STALL(c_p1, s0) | node61(c_p1, s0))),
% 49.55/32.20 inference(quant_inst,[status(thm)],[])).
% 49.55/32.20 tff(7883,plain,
% 49.55/32.20 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p1, s0)) | m_processor_v_REPLY_h_STALL(c_p1, s0) | node61(c_p1, s0)),
% 49.55/32.20 inference(modus_ponens,[status(thm)],[7882, 7881])).
% 49.55/32.20 tff(7884,plain,
% 49.55/32.20 ($false),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7883, 1417, 3068, 3995, 7880])).
% 49.55/32.20 tff(7885,plain,(node61(c_p1, s0) | (~m_processor_v_abort(c_p1, s0)) | m_processor_v_REPLY_h_STALL(c_p1, s0)), inference(lemma,lemma(discharge,[]))).
% 49.55/32.20 tff(7886,plain,
% 49.55/32.20 (~m_processor_v_abort(c_p1, s0)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7885, 7879, 3995])).
% 49.55/32.20 tff(7887,plain,
% 49.55/32.20 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)) | (~node2(s0)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)) | (~node2(s0)))),
% 49.55/32.20 inference(rewrite,[status(thm)],[])).
% 49.55/32.20 tff(7888,plain,
% 49.55/32.20 ((m_main_v_CMD(s0, c_read_h_shared) | (~node2(s0)) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared))) <=> (m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)) | (~node2(s0)))),
% 49.55/32.20 inference(rewrite,[status(thm)],[])).
% 49.55/32.20 tff(7889,plain,
% 49.55/32.20 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~node2(s0)) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)) | (~node2(s0))))),
% 49.55/32.20 inference(monotonicity,[status(thm)],[7888])).
% 49.55/32.20 tff(7890,plain,
% 49.55/32.20 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~node2(s0)) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)) | (~node2(s0)))),
% 49.55/32.20 inference(transitivity,[status(thm)],[7889, 7887])).
% 49.55/32.20 tff(7891,plain,
% 49.55/32.20 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~node2(s0)) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)))),
% 49.55/32.20 inference(quant_inst,[status(thm)],[])).
% 49.55/32.20 tff(7892,plain,
% 49.55/32.20 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)) | (~node2(s0))),
% 49.55/32.20 inference(modus_ponens,[status(thm)],[7891, 7890])).
% 49.55/32.20 tff(7893,plain,
% 49.55/32.20 ($false),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7892, 1612, 2868, 2878, 7853])).
% 49.55/32.20 tff(7894,plain,((~m_processor_v_CMD(c_p0, s0, c_read_h_shared)) | m_main_v_CMD(s0, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.55/32.20 tff(7895,plain,
% 49.55/32.20 (m_main_v_CMD(s0, c_read_h_shared)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7894, 7853])).
% 49.55/32.20 tff(7896,plain,
% 49.55/32.20 (^[X: $i] : refl(((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))))),
% 49.55/32.20 inference(bind,[status(th)],[])).
% 49.55/32.20 tff(7897,plain,
% 49.55/32.20 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 49.55/32.20 inference(quant_intro,[status(thm)],[7896])).
% 49.55/32.20 tff(7898,plain,
% 49.55/32.20 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 49.55/32.20 inference(rewrite,[status(thm)],[])).
% 49.55/32.20 tff(7899,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_14')).
% 49.55/32.20 tff(7900,plain,
% 49.55/32.20 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 49.55/32.20 inference(modus_ponens,[status(thm)],[7899, 7898])).
% 49.55/32.20 tff(7901,plain,(
% 49.55/32.20 ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 49.55/32.20 inference(skolemize,[status(sab)],[7900])).
% 49.55/32.20 tff(7902,plain,
% 49.55/32.20 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 49.55/32.20 inference(modus_ponens,[status(thm)],[7901, 7897])).
% 49.55/32.20 tff(7903,plain,
% 49.55/32.20 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s0, c_read_h_shared)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s0, c_read_h_shared)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)))),
% 49.55/32.20 inference(rewrite,[status(thm)],[])).
% 49.55/32.20 tff(7904,plain,
% 49.55/32.20 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s0, c_read_h_shared)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)))),
% 49.55/32.20 inference(quant_inst,[status(thm)],[])).
% 49.55/32.20 tff(7905,plain,
% 49.55/32.20 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s0, c_read_h_shared)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared))),
% 49.55/32.20 inference(modus_ponens,[status(thm)],[7904, 7903])).
% 49.55/32.20 tff(7906,plain,
% 49.55/32.20 (~m_main_v_CMD(s0, c_write_h_resp_h_shared)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7905, 7902, 7895])).
% 49.55/32.20 tff(7907,plain,
% 49.55/32.20 (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[4381, 7906])).
% 49.55/32.20 tff(7908,plain,
% 49.55/32.20 (~node43(c_p1, s0)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7637, 7631, 7907])).
% 49.55/32.20 tff(7909,plain,
% 49.55/32.20 (^[X: $i] : refl(((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))) <=> ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))))),
% 49.55/32.20 inference(bind,[status(th)],[])).
% 49.55/32.20 tff(7910,plain,
% 49.55/32.20 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 49.55/32.20 inference(quant_intro,[status(thm)],[7909])).
% 49.55/32.20 tff(7911,plain,
% 49.55/32.20 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 49.55/32.20 inference(rewrite,[status(thm)],[])).
% 49.55/32.20 tff(7912,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_13')).
% 49.55/32.20 tff(7913,plain,
% 49.55/32.20 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 49.55/32.20 inference(modus_ponens,[status(thm)],[7912, 7911])).
% 49.55/32.20 tff(7914,plain,(
% 49.55/32.20 ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 49.55/32.20 inference(skolemize,[status(sab)],[7913])).
% 49.55/32.20 tff(7915,plain,
% 49.55/32.20 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 49.55/32.20 inference(modus_ponens,[status(thm)],[7914, 7910])).
% 49.55/32.20 tff(7916,plain,
% 49.55/32.20 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s0, c_read_h_shared)) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s0, c_read_h_shared)) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid)))),
% 49.55/32.20 inference(rewrite,[status(thm)],[])).
% 49.55/32.20 tff(7917,plain,
% 49.55/32.20 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s0, c_read_h_shared)) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid)))),
% 49.55/32.20 inference(quant_inst,[status(thm)],[])).
% 49.55/32.20 tff(7918,plain,
% 49.55/32.20 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s0, c_read_h_shared)) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid))),
% 49.55/32.20 inference(modus_ponens,[status(thm)],[7917, 7916])).
% 49.55/32.20 tff(7919,plain,
% 49.55/32.20 (~m_main_v_CMD(s0, c_write_h_resp_h_invalid)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7918, 7915, 7895])).
% 49.55/32.20 tff(7920,plain,
% 49.55/32.20 (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[4346, 7919])).
% 49.55/32.20 tff(7921,plain,
% 49.55/32.20 (~node42(c_p1, s0)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7585, 7579, 7920])).
% 49.55/32.20 tff(7922,plain,
% 49.55/32.20 ($false),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7672, 7921, 7908, 7527, 7886])).
% 49.55/32.20 tff(7923,plain,((~m_processor_v_CMD(c_p0, s0, c_read_h_shared)) | node44(c_p1, s0, s1) | m_processor_v_REPLY_h_STALL(c_p1, s0) | (~node60(c_p0, s0))), inference(lemma,lemma(discharge,[]))).
% 49.55/32.20 tff(7924,plain,
% 49.55/32.20 (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7923, 7852, 7527, 7745])).
% 49.55/32.20 tff(7925,plain,
% 49.55/32.20 (~m_main_v_CMD(s0, c_read_h_shared)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[2876, 7924])).
% 49.55/32.20 tff(7926,plain,
% 49.55/32.20 (m_main_v_CMD(s0, c_read_h_owned)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[3029, 7925, 2847])).
% 49.55/32.20 tff(7927,plain,
% 49.55/32.20 (m_processor_v_CMD(c_p0, s0, c_read_h_owned)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[3040, 7926])).
% 49.55/32.20 tff(7928,plain,
% 49.55/32.20 (~node59(c_p0, s0)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7796, 707, 7927])).
% 49.55/32.20 tff(7929,plain,
% 49.55/32.20 (~m_processor_v_REPLY_h_WAITING(c_p0, s0)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7787, 7928, 7745])).
% 49.55/32.20 tff(7930,plain,
% 49.55/32.20 (~m_main_v_REPLY_h_WAITING(s0)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7779, 7929])).
% 49.55/32.20 tff(7931,plain,
% 49.55/32.20 (~m_processor_v_REPLY_h_WAITING(c_p1, s0)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7871, 7930])).
% 49.55/32.20 tff(7932,plain,
% 49.55/32.20 (~node61(c_p1, s0)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7878, 7931])).
% 49.55/32.20 tff(7933,plain,
% 49.55/32.20 (~m_processor_v_abort(c_p1, s0)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7885, 7932, 7852])).
% 49.55/32.20 tff(7934,plain,
% 49.55/32.20 (^[X: $i] : refl(((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))))),
% 49.55/32.20 inference(bind,[status(th)],[])).
% 49.55/32.20 tff(7935,plain,
% 49.55/32.20 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 49.55/32.20 inference(quant_intro,[status(thm)],[7934])).
% 49.55/32.20 tff(7936,plain,
% 49.55/32.20 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 49.55/32.20 inference(rewrite,[status(thm)],[])).
% 49.55/32.20 tff(7937,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_20')).
% 49.55/32.20 tff(7938,plain,
% 49.55/32.20 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 49.55/32.20 inference(modus_ponens,[status(thm)],[7937, 7936])).
% 49.55/32.20 tff(7939,plain,(
% 49.55/32.20 ![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 49.55/32.20 inference(skolemize,[status(sab)],[7938])).
% 49.55/32.20 tff(7940,plain,
% 49.55/32.20 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 49.55/32.20 inference(modus_ponens,[status(thm)],[7939, 7935])).
% 49.55/32.20 tff(7941,plain,
% 49.55/32.20 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s0, c_read_h_owned)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s0, c_read_h_owned)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)))),
% 49.55/32.20 inference(rewrite,[status(thm)],[])).
% 49.55/32.20 tff(7942,plain,
% 49.55/32.20 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s0, c_read_h_owned)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)))),
% 49.55/32.20 inference(quant_inst,[status(thm)],[])).
% 49.55/32.20 tff(7943,plain,
% 49.55/32.20 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s0, c_read_h_owned)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared))),
% 49.55/32.20 inference(modus_ponens,[status(thm)],[7942, 7941])).
% 49.55/32.20 tff(7944,plain,
% 49.55/32.20 (~m_main_v_CMD(s0, c_write_h_resp_h_shared)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7943, 7940, 7926])).
% 49.55/32.20 tff(7945,plain,
% 49.55/32.20 (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[4381, 7944])).
% 49.55/32.20 tff(7946,plain,
% 49.55/32.20 (~node43(c_p1, s0)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7637, 7631, 7945])).
% 49.55/32.20 tff(7947,plain,
% 49.55/32.20 (^[X: $i] : refl(((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))) <=> ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))))),
% 49.55/32.20 inference(bind,[status(th)],[])).
% 49.55/32.20 tff(7948,plain,
% 49.55/32.20 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 49.55/32.20 inference(quant_intro,[status(thm)],[7947])).
% 49.55/32.20 tff(7949,plain,
% 49.55/32.20 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 49.55/32.20 inference(rewrite,[status(thm)],[])).
% 49.55/32.20 tff(7950,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_19')).
% 49.55/32.20 tff(7951,plain,
% 49.55/32.20 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 49.55/32.20 inference(modus_ponens,[status(thm)],[7950, 7949])).
% 49.55/32.20 tff(7952,plain,(
% 49.55/32.20 ![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 49.55/32.20 inference(skolemize,[status(sab)],[7951])).
% 49.55/32.20 tff(7953,plain,
% 49.55/32.20 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 49.55/32.20 inference(modus_ponens,[status(thm)],[7952, 7948])).
% 49.55/32.20 tff(7954,plain,
% 49.55/32.20 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s0, c_read_h_owned)) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s0, c_read_h_owned)) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid)))),
% 49.55/32.20 inference(rewrite,[status(thm)],[])).
% 49.55/32.20 tff(7955,plain,
% 49.55/32.20 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s0, c_read_h_owned)) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid)))),
% 49.55/32.20 inference(quant_inst,[status(thm)],[])).
% 49.55/32.20 tff(7956,plain,
% 49.55/32.20 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s0, c_read_h_owned)) | (~m_main_v_CMD(s0, c_write_h_resp_h_invalid))),
% 49.55/32.20 inference(modus_ponens,[status(thm)],[7955, 7954])).
% 49.55/32.20 tff(7957,plain,
% 49.55/32.20 (~m_main_v_CMD(s0, c_write_h_resp_h_invalid)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7956, 7953, 7926])).
% 49.55/32.20 tff(7958,plain,
% 49.55/32.20 (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[4346, 7957])).
% 49.55/32.20 tff(7959,plain,
% 49.55/32.20 (~node42(c_p1, s0)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7585, 7579, 7958])).
% 49.55/32.20 tff(7960,plain,
% 49.55/32.20 ($false),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7672, 7959, 7946, 7527, 7933])).
% 49.55/32.20 tff(7961,plain,(m_processor_v_state(c_p0, s1, c_invalid) | node44(c_p1, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 49.55/32.20 tff(7962,plain,
% 49.55/32.20 (m_processor_v_state(c_p0, s1, c_invalid)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7961, 7527])).
% 49.55/32.20 tff(7963,plain,
% 49.55/32.20 (~m_processor_v_state(c_p0, s1, c_owned)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[5782, 137, 7962])).
% 49.55/32.20 tff(7964,plain,
% 49.55/32.20 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p0, s0)) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0) | node34(c_p0, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s0)) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0) | node34(c_p0, s0, s1))),
% 49.55/32.20 inference(rewrite,[status(thm)],[])).
% 49.55/32.20 tff(7965,plain,
% 49.55/32.20 ((node34(c_p0, s0, s1) | (~m_processor_v_master(c_p0, s0)) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0)) <=> ((~m_processor_v_master(c_p0, s0)) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0) | node34(c_p0, s0, s1))),
% 49.55/32.20 inference(rewrite,[status(thm)],[])).
% 49.55/32.20 tff(7966,plain,
% 49.55/32.20 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s0, s1) | (~m_processor_v_master(c_p0, s0)) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p0, s0)) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0) | node34(c_p0, s0, s1)))),
% 49.55/32.20 inference(monotonicity,[status(thm)],[7965])).
% 49.55/32.20 tff(7967,plain,
% 49.55/32.20 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s0, s1) | (~m_processor_v_master(c_p0, s0)) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s0)) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0) | node34(c_p0, s0, s1))),
% 49.55/32.20 inference(transitivity,[status(thm)],[7966, 7964])).
% 49.55/32.20 tff(7968,plain,
% 49.55/32.20 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s0, s1) | (~m_processor_v_master(c_p0, s0)) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0))),
% 49.55/32.20 inference(quant_inst,[status(thm)],[])).
% 49.55/32.20 tff(7969,plain,
% 49.55/32.20 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s0)) | (~node38(c_p0, s0, s1)) | m_processor_v_abort(c_p0, s0) | node34(c_p0, s0, s1)),
% 49.55/32.20 inference(modus_ponens,[status(thm)],[7968, 7967])).
% 49.55/32.20 tff(7970,plain,
% 49.55/32.20 ((~m_processor_v_master(c_p0, s0)) | m_processor_v_abort(c_p0, s0) | node34(c_p0, s0, s1)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7969, 283, 2816])).
% 49.55/32.20 tff(7971,plain,
% 49.55/32.20 (node34(c_p0, s0, s1)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7970, 2849, 2850])).
% 49.55/32.20 tff(7972,plain,
% 49.55/32.20 (node60(c_p0, s0)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7744, 2849])).
% 49.55/32.20 tff(7973,plain,
% 49.55/32.20 (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[7923, 7972, 7527, 3995])).
% 49.55/32.20 tff(7974,plain,
% 49.55/32.20 (m_processor_v_cmd(c_p1, s0, c_idle)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[3027, 2983])).
% 49.55/32.20 tff(7975,plain,
% 49.55/32.20 (node8(s0)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[2939, 2931, 2896, 7974])).
% 49.55/32.20 tff(7976,plain,
% 49.55/32.20 (~m_main_v_CMD(s0, c_read_h_shared)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[2876, 2863])).
% 49.55/32.20 tff(7977,plain,
% 49.55/32.20 (~m_processor_v_cmd(c_p0, s0, c_read_h_shared)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[2950, 7976, 7975])).
% 49.55/32.20 tff(7978,plain,
% 49.55/32.20 (m_processor_v_cmd(c_p0, s0, c_read_h_owned)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[2958, 7977, 2850])).
% 49.55/32.20 tff(7979,plain,
% 49.55/32.20 (m_main_v_CMD(s0, c_read_h_owned)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[2965, 1669, 7978, 7975])).
% 49.55/32.20 tff(7980,plain,
% 49.55/32.20 (m_processor_v_CMD(c_p0, s0, c_read_h_owned)),
% 49.55/32.20 inference(unit_resolution,[status(thm)],[3040, 7979])).
% 49.55/32.20 tff(7981,assumption,(~m_processor_v_state(c_p0, s1, c_owned)), introduced(assumption)).
% 49.55/32.20 tff(7982,assumption,(node34(c_p0, s0, s1)), introduced(assumption)).
% 49.55/32.20 tff(7983,plain,
% 49.55/32.20 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | (m_processor_v_state(c_p0, s1, c_owned) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s0, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_state(c_p0, s1, c_owned) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s0, c_read_h_owned)))),
% 49.55/32.20 inference(rewrite,[status(thm)],[])).
% 49.55/32.20 tff(7984,plain,
% 49.55/32.20 (((~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_state(c_p0, s1, c_owned) | (~m_processor_v_CMD(c_p0, s0, c_read_h_owned))) <=> (m_processor_v_state(c_p0, s1, c_owned) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s0, c_read_h_owned)))),
% 49.55/32.20 inference(rewrite,[status(thm)],[])).
% 49.55/32.20 tff(7985,plain,
% 49.55/32.20 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_state(c_p0, s1, c_owned) | (~m_processor_v_CMD(c_p0, s0, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | (m_processor_v_state(c_p0, s1, c_owned) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s0, c_read_h_owned))))),
% 49.55/32.20 inference(monotonicity,[status(thm)],[7984])).
% 49.55/32.20 tff(7986,plain,
% 49.55/32.20 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_state(c_p0, s1, c_owned) | (~m_processor_v_CMD(c_p0, s0, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_state(c_p0, s1, c_owned) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s0, c_read_h_owned)))),
% 49.55/32.21 inference(transitivity,[status(thm)],[7985, 7983])).
% 49.55/32.21 tff(7987,plain,
% 49.55/32.21 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | m_processor_v_state(c_p0, s1, c_owned) | (~m_processor_v_CMD(c_p0, s0, c_read_h_owned)))),
% 49.55/32.21 inference(quant_inst,[status(thm)],[])).
% 49.55/32.21 tff(7988,plain,
% 49.55/32.21 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_state(c_p0, s1, c_owned) | (~node34(c_p0, s0, s1)) | m_processor_v_CMD(c_p0, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s0, c_read_h_owned))),
% 49.55/32.21 inference(modus_ponens,[status(thm)],[7987, 7986])).
% 49.55/32.21 tff(7989,plain,
% 49.55/32.21 ($false),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[7988, 1864, 7982, 7981, 7980, 2863])).
% 49.55/32.21 tff(7990,plain,(m_processor_v_CMD(c_p0, s0, c_read_h_shared) | (~node34(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_owned) | (~m_processor_v_master(c_p0, s0))), inference(lemma,lemma(discharge,[]))).
% 49.55/32.21 tff(7991,plain,
% 49.55/32.21 ($false),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[7990, 7973, 7971, 7963, 2850])).
% 49.55/32.21 tff(7992,plain,(m_processor_v_abort(c_p0, s0) | (~m_processor_v_master(c_p0, s0)) | node44(c_p1, s0, s1) | m_processor_v_REPLY_h_STALL(c_p1, s0)), inference(lemma,lemma(discharge,[]))).
% 49.55/32.21 tff(7993,plain,
% 49.55/32.21 (m_processor_v_abort(c_p0, s0)),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[7992, 7728, 7475, 7730])).
% 49.55/32.21 tff(7994,assumption,(~node61(c_p0, s0)), introduced(assumption)).
% 49.55/32.21 tff(7995,assumption,(m_processor_v_abort(c_p0, s0)), introduced(assumption)).
% 49.55/32.21 tff(7996,plain,
% 49.55/32.21 (((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p0, s0)) | m_processor_v_REPLY_h_STALL(c_p0, s0) | node61(c_p0, s0))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p0, s0)) | m_processor_v_REPLY_h_STALL(c_p0, s0) | node61(c_p0, s0))),
% 49.55/32.21 inference(rewrite,[status(thm)],[])).
% 49.55/32.21 tff(7997,plain,
% 49.55/32.21 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p0, s0)) | m_processor_v_REPLY_h_STALL(c_p0, s0) | node61(c_p0, s0))),
% 49.55/32.21 inference(quant_inst,[status(thm)],[])).
% 49.55/32.21 tff(7998,plain,
% 49.55/32.21 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p0, s0)) | m_processor_v_REPLY_h_STALL(c_p0, s0) | node61(c_p0, s0)),
% 49.55/32.21 inference(modus_ponens,[status(thm)],[7997, 7996])).
% 49.55/32.21 tff(7999,plain,
% 49.55/32.21 ($false),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[7998, 1417, 7995, 7751, 7994])).
% 49.55/32.21 tff(8000,plain,(m_processor_v_REPLY_h_STALL(c_p0, s0) | (~m_processor_v_abort(c_p0, s0)) | node61(c_p0, s0)), inference(lemma,lemma(discharge,[]))).
% 49.55/32.21 tff(8001,plain,
% 49.55/32.21 (node61(c_p0, s0)),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[8000, 7993, 7738])).
% 49.55/32.21 tff(8002,assumption,(node61(c_p0, s0)), introduced(assumption)).
% 49.55/32.21 tff(8003,plain,
% 49.55/32.21 (((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p0, s0) | (~node61(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p0, s0) | (~node61(c_p0, s0)))),
% 49.55/32.21 inference(rewrite,[status(thm)],[])).
% 49.55/32.21 tff(8004,plain,
% 49.55/32.21 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p0, s0) | (~node61(c_p0, s0)))),
% 49.55/32.21 inference(quant_inst,[status(thm)],[])).
% 49.55/32.21 tff(8005,plain,
% 49.55/32.21 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p0, s0) | (~node61(c_p0, s0))),
% 49.55/32.21 inference(modus_ponens,[status(thm)],[8004, 8003])).
% 49.55/32.21 tff(8006,plain,
% 49.55/32.21 ($false),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[8005, 1891, 8002, 7764])).
% 49.55/32.21 tff(8007,plain,((~node61(c_p0, s0)) | m_processor_v_REPLY_h_WAITING(c_p0, s0)), inference(lemma,lemma(discharge,[]))).
% 49.55/32.21 tff(8008,plain,
% 49.55/32.21 (m_processor_v_REPLY_h_WAITING(c_p0, s0)),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[8007, 8001])).
% 49.55/32.21 tff(8009,plain,
% 49.55/32.21 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | (m_main_v_REPLY_h_WAITING(s0) | (~m_processor_v_REPLY_h_WAITING(c_p0, s0)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | m_main_v_REPLY_h_WAITING(s0) | (~m_processor_v_REPLY_h_WAITING(c_p0, s0)))),
% 49.55/32.21 inference(rewrite,[status(thm)],[])).
% 49.55/32.21 tff(8010,plain,
% 49.55/32.21 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | (m_main_v_REPLY_h_WAITING(s0) | (~m_processor_v_REPLY_h_WAITING(c_p0, s0)))),
% 49.55/32.21 inference(quant_inst,[status(thm)],[])).
% 49.55/32.21 tff(8011,plain,
% 49.55/32.21 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | m_main_v_REPLY_h_WAITING(s0) | (~m_processor_v_REPLY_h_WAITING(c_p0, s0))),
% 49.55/32.21 inference(modus_ponens,[status(thm)],[8010, 8009])).
% 49.55/32.21 tff(8012,plain,
% 49.55/32.21 ($false),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[8011, 1909, 4666, 7782])).
% 49.55/32.21 tff(8013,plain,(m_main_v_REPLY_h_WAITING(s0) | (~m_processor_v_REPLY_h_WAITING(c_p0, s0))), inference(lemma,lemma(discharge,[]))).
% 49.55/32.21 tff(8014,plain,
% 49.55/32.21 (m_main_v_REPLY_h_WAITING(s0)),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[8013, 8008])).
% 49.55/32.21 tff(8015,plain,
% 49.55/32.21 (m_processor_v_REPLY_h_WAITING(c_p1, s0)),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[4778, 8014])).
% 49.55/32.21 tff(8016,plain,
% 49.55/32.21 (node59(c_p1, s0)),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[4770, 8015, 7729])).
% 49.55/32.21 tff(8017,plain,
% 49.55/32.21 (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[4762, 8016])).
% 49.55/32.21 tff(8018,plain,
% 49.55/32.21 (~m_main_v_CMD(s0, c_read_h_shared)),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[4754, 8017])).
% 49.55/32.21 tff(8019,plain,
% 49.55/32.21 (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[4795, 8016])).
% 49.55/32.21 tff(8020,plain,
% 49.55/32.21 (~m_main_v_CMD(s0, c_read_h_owned)),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[4786, 8019])).
% 49.55/32.21 tff(8021,plain,
% 49.55/32.21 ($false),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[3029, 8020, 8018, 7728])).
% 49.55/32.21 tff(8022,plain,(m_processor_v_snoop(c_p1, s1, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.55/32.21 tff(8023,plain,
% 49.55/32.21 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~m_processor_v_snoop(c_p1, s1, c_invalid)) | m_processor_v_snoop(c_p1, s2, c_invalid) | (~node39(c_p1, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p1, s1, c_invalid)) | m_processor_v_snoop(c_p1, s2, c_invalid) | (~node39(c_p1, s1, s2)))),
% 49.55/32.21 inference(rewrite,[status(thm)],[])).
% 49.55/32.21 tff(8024,plain,
% 49.55/32.21 (((~node39(c_p1, s1, s2)) | (~m_processor_v_snoop(c_p1, s1, c_invalid)) | m_processor_v_snoop(c_p1, s2, c_invalid)) <=> ((~m_processor_v_snoop(c_p1, s1, c_invalid)) | m_processor_v_snoop(c_p1, s2, c_invalid) | (~node39(c_p1, s1, s2)))),
% 49.55/32.21 inference(rewrite,[status(thm)],[])).
% 49.55/32.21 tff(8025,plain,
% 49.55/32.21 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p1, s1, s2)) | (~m_processor_v_snoop(c_p1, s1, c_invalid)) | m_processor_v_snoop(c_p1, s2, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~m_processor_v_snoop(c_p1, s1, c_invalid)) | m_processor_v_snoop(c_p1, s2, c_invalid) | (~node39(c_p1, s1, s2))))),
% 49.55/32.21 inference(monotonicity,[status(thm)],[8024])).
% 49.55/32.21 tff(8026,plain,
% 49.55/32.21 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p1, s1, s2)) | (~m_processor_v_snoop(c_p1, s1, c_invalid)) | m_processor_v_snoop(c_p1, s2, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p1, s1, c_invalid)) | m_processor_v_snoop(c_p1, s2, c_invalid) | (~node39(c_p1, s1, s2)))),
% 49.55/32.21 inference(transitivity,[status(thm)],[8025, 8023])).
% 49.55/32.21 tff(8027,plain,
% 49.55/32.21 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p1, s1, s2)) | (~m_processor_v_snoop(c_p1, s1, c_invalid)) | m_processor_v_snoop(c_p1, s2, c_invalid))),
% 49.55/32.21 inference(quant_inst,[status(thm)],[])).
% 49.55/32.21 tff(8028,plain,
% 49.55/32.21 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p1, s1, c_invalid)) | m_processor_v_snoop(c_p1, s2, c_invalid) | (~node39(c_p1, s1, s2))),
% 49.55/32.21 inference(modus_ponens,[status(thm)],[8027, 8026])).
% 49.55/32.21 tff(8029,plain,
% 49.55/32.21 ($false),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[8028, 7486, 7456, 8022, 7457])).
% 49.55/32.21 tff(8030,plain,(m_processor_v_snoop(c_p1, s2, c_invalid) | (~node39(c_p1, s1, s2))), inference(lemma,lemma(discharge,[]))).
% 49.55/32.21 tff(8031,plain,
% 49.55/32.21 (~node39(c_p1, s1, s2)),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[8030, 7456])).
% 49.55/32.21 tff(8032,assumption,(~node45(c_p1, s1, s2)), introduced(assumption)).
% 49.55/32.21 tff(8033,plain,
% 49.55/32.21 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s1, s2)) | node45(c_p1, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s1, s2)) | node45(c_p1, s1, s2))),
% 49.55/32.21 inference(rewrite,[status(thm)],[])).
% 49.55/32.21 tff(8034,plain,
% 49.55/32.21 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s1, s2)) | node45(c_p1, s1, s2))),
% 49.55/32.21 inference(quant_inst,[status(thm)],[])).
% 49.55/32.21 tff(8035,plain,
% 49.55/32.21 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s1, s2)) | node45(c_p1, s1, s2)),
% 49.55/32.21 inference(modus_ponens,[status(thm)],[8034, 8033])).
% 49.55/32.21 tff(8036,plain,
% 49.55/32.21 ($false),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[8035, 7503, 3136, 8032])).
% 49.55/32.21 tff(8037,plain,(node45(c_p1, s1, s2)), inference(lemma,lemma(discharge,[]))).
% 49.55/32.21 tff(8038,plain,
% 49.55/32.21 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s1)) | (~node45(c_p1, s1, s2)) | node39(c_p1, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p1, s1)) | (~node45(c_p1, s1, s2)) | node39(c_p1, s1, s2))),
% 49.55/32.21 inference(rewrite,[status(thm)],[])).
% 49.55/32.21 tff(8039,plain,
% 49.55/32.21 ((node39(c_p1, s1, s2) | (~m_processor_v_abort(c_p1, s1)) | (~node45(c_p1, s1, s2))) <=> ((~m_processor_v_abort(c_p1, s1)) | (~node45(c_p1, s1, s2)) | node39(c_p1, s1, s2))),
% 49.55/32.21 inference(rewrite,[status(thm)],[])).
% 49.55/32.21 tff(8040,plain,
% 49.55/32.21 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p1, s1, s2) | (~m_processor_v_abort(c_p1, s1)) | (~node45(c_p1, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s1)) | (~node45(c_p1, s1, s2)) | node39(c_p1, s1, s2)))),
% 49.55/32.21 inference(monotonicity,[status(thm)],[8039])).
% 49.55/32.21 tff(8041,plain,
% 49.55/32.21 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p1, s1, s2) | (~m_processor_v_abort(c_p1, s1)) | (~node45(c_p1, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p1, s1)) | (~node45(c_p1, s1, s2)) | node39(c_p1, s1, s2))),
% 49.55/32.21 inference(transitivity,[status(thm)],[8040, 8038])).
% 49.55/32.21 tff(8042,plain,
% 49.55/32.21 ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p1, s1, s2) | (~m_processor_v_abort(c_p1, s1)) | (~node45(c_p1, s1, s2)))),
% 49.55/32.21 inference(quant_inst,[status(thm)],[])).
% 49.55/32.21 tff(8043,plain,
% 49.55/32.21 ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p1, s1)) | (~node45(c_p1, s1, s2)) | node39(c_p1, s1, s2)),
% 49.55/32.21 inference(modus_ponens,[status(thm)],[8042, 8041])).
% 49.55/32.21 tff(8044,plain,
% 49.55/32.21 ((~m_processor_v_abort(c_p1, s1)) | node39(c_p1, s1, s2)),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[8043, 7518, 8037])).
% 49.55/32.21 tff(8045,plain,
% 49.55/32.21 (~m_processor_v_abort(c_p1, s1)),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[8044, 8031])).
% 49.55/32.21 tff(8046,plain,
% 49.55/32.21 (node60(c_p1, s1)),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[3778, 8045])).
% 49.55/32.21 tff(8047,assumption,(m_processor_v_REPLY_h_STALL(c_p1, s1)), introduced(assumption)).
% 49.55/32.21 tff(8048,plain,
% 49.55/32.21 (((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p1, s1)) | (~node60(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p1, s1)) | (~node60(c_p1, s1)))),
% 49.55/32.21 inference(rewrite,[status(thm)],[])).
% 49.55/32.21 tff(8049,plain,
% 49.55/32.21 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p1, s1)) | (~node60(c_p1, s1)))),
% 49.55/32.21 inference(quant_inst,[status(thm)],[])).
% 49.55/32.21 tff(8050,plain,
% 49.55/32.21 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p1, s1)) | (~node60(c_p1, s1))),
% 49.55/32.21 inference(modus_ponens,[status(thm)],[8049, 8048])).
% 49.55/32.21 tff(8051,plain,
% 49.55/32.21 ($false),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[8050, 1363, 8047, 3824])).
% 49.55/32.21 tff(8052,plain,((~m_processor_v_REPLY_h_STALL(c_p1, s1)) | (~node60(c_p1, s1))), inference(lemma,lemma(discharge,[]))).
% 49.55/32.21 tff(8053,plain,
% 49.55/32.21 (~m_processor_v_REPLY_h_STALL(c_p1, s1)),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[8052, 8046])).
% 49.55/32.21 tff(8054,assumption,(~m_processor_v_REPLY_h_STALL(c_p1, s1)), introduced(assumption)).
% 49.55/32.21 tff(8055,plain,
% 49.55/32.21 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | ((~m_main_v_REPLY_h_STALL(s1)) | m_processor_v_REPLY_h_STALL(c_p1, s1))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | (~m_main_v_REPLY_h_STALL(s1)) | m_processor_v_REPLY_h_STALL(c_p1, s1))),
% 49.55/32.21 inference(rewrite,[status(thm)],[])).
% 49.55/32.21 tff(8056,plain,
% 49.55/32.21 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | ((~m_main_v_REPLY_h_STALL(s1)) | m_processor_v_REPLY_h_STALL(c_p1, s1))),
% 49.55/32.21 inference(quant_inst,[status(thm)],[])).
% 49.55/32.21 tff(8057,plain,
% 49.55/32.21 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | (~m_main_v_REPLY_h_STALL(s1)) | m_processor_v_REPLY_h_STALL(c_p1, s1)),
% 49.55/32.21 inference(modus_ponens,[status(thm)],[8056, 8055])).
% 49.55/32.21 tff(8058,plain,
% 49.55/32.21 ($false),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[8057, 1713, 3889, 8054])).
% 49.55/32.21 tff(8059,plain,(m_processor_v_REPLY_h_STALL(c_p1, s1) | (~m_main_v_REPLY_h_STALL(s1))), inference(lemma,lemma(discharge,[]))).
% 49.55/32.21 tff(8060,plain,
% 49.55/32.21 (~m_main_v_REPLY_h_STALL(s1)),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[8059, 8053])).
% 49.55/32.21 tff(8061,plain,
% 49.55/32.21 (node7(s1)),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[3910, 8060])).
% 49.55/32.21 tff(8062,plain,
% 49.55/32.21 (~m_memory_v_reply_h_stall(c_m, s1)),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[3928, 8061])).
% 49.55/32.21 tff(8063,plain,
% 49.55/32.21 (^[I0: $i, X: $i] : refl(((~m_processor_v_master(I0, X)) | (~node40(I0, X))) <=> ((~m_processor_v_master(I0, X)) | (~node40(I0, X))))),
% 49.55/32.21 inference(bind,[status(th)],[])).
% 49.55/32.21 tff(8064,plain,
% 49.55/32.21 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))),
% 49.55/32.21 inference(quant_intro,[status(thm)],[8063])).
% 49.55/32.21 tff(8065,plain,
% 49.55/32.21 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))),
% 49.55/32.21 inference(rewrite,[status(thm)],[])).
% 49.55/32.21 tff(8066,axiom,(![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_75')).
% 49.55/32.21 tff(8067,plain,
% 49.55/32.21 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))),
% 49.55/32.21 inference(modus_ponens,[status(thm)],[8066, 8065])).
% 49.55/32.21 tff(8068,plain,(
% 49.55/32.21 ![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))),
% 49.55/32.21 inference(skolemize,[status(sab)],[8067])).
% 49.55/32.21 tff(8069,plain,
% 49.55/32.21 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))),
% 49.55/32.21 inference(modus_ponens,[status(thm)],[8068, 8064])).
% 49.55/32.21 tff(8070,plain,
% 49.55/32.21 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))) | ((~m_processor_v_master(c_p1, s1)) | (~node40(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))) | (~m_processor_v_master(c_p1, s1)) | (~node40(c_p1, s1)))),
% 49.55/32.21 inference(rewrite,[status(thm)],[])).
% 49.55/32.21 tff(8071,plain,
% 49.55/32.21 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))) | ((~m_processor_v_master(c_p1, s1)) | (~node40(c_p1, s1)))),
% 49.55/32.21 inference(quant_inst,[status(thm)],[])).
% 49.55/32.21 tff(8072,plain,
% 49.55/32.21 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))) | (~m_processor_v_master(c_p1, s1)) | (~node40(c_p1, s1))),
% 49.55/32.21 inference(modus_ponens,[status(thm)],[8071, 8070])).
% 49.55/32.21 tff(8073,plain,
% 49.55/32.21 (~node40(c_p1, s1)),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[8072, 8069, 3205])).
% 49.55/32.21 tff(8074,plain,
% 49.55/32.21 (^[I0: $i, X: $i] : refl(((~m_processor_v_master(I0, X)) | (~node41(I0, X))) <=> ((~m_processor_v_master(I0, X)) | (~node41(I0, X))))),
% 49.55/32.21 inference(bind,[status(th)],[])).
% 49.55/32.21 tff(8075,plain,
% 49.55/32.21 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))),
% 49.55/32.21 inference(quant_intro,[status(thm)],[8074])).
% 49.55/32.21 tff(8076,plain,
% 49.55/32.21 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))),
% 49.55/32.21 inference(rewrite,[status(thm)],[])).
% 49.55/32.21 tff(8077,axiom,(![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_78')).
% 49.55/32.21 tff(8078,plain,
% 49.55/32.21 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))),
% 49.55/32.21 inference(modus_ponens,[status(thm)],[8077, 8076])).
% 49.55/32.21 tff(8079,plain,(
% 49.55/32.21 ![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))),
% 49.55/32.21 inference(skolemize,[status(sab)],[8078])).
% 49.55/32.21 tff(8080,plain,
% 49.55/32.21 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))),
% 49.55/32.21 inference(modus_ponens,[status(thm)],[8079, 8075])).
% 49.55/32.21 tff(8081,plain,
% 49.55/32.21 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))) | ((~m_processor_v_master(c_p1, s1)) | (~node41(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))) | (~m_processor_v_master(c_p1, s1)) | (~node41(c_p1, s1)))),
% 49.55/32.21 inference(rewrite,[status(thm)],[])).
% 49.55/32.21 tff(8082,plain,
% 49.55/32.21 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))) | ((~m_processor_v_master(c_p1, s1)) | (~node41(c_p1, s1)))),
% 49.55/32.21 inference(quant_inst,[status(thm)],[])).
% 49.55/32.21 tff(8083,plain,
% 49.55/32.21 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))) | (~m_processor_v_master(c_p1, s1)) | (~node41(c_p1, s1))),
% 49.55/32.21 inference(modus_ponens,[status(thm)],[8082, 8081])).
% 49.55/32.21 tff(8084,plain,
% 49.55/32.21 (~node41(c_p1, s1)),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[8083, 8080, 3205])).
% 49.55/32.21 tff(8085,assumption,(~node41(c_p1, s1)), introduced(assumption)).
% 49.55/32.21 tff(8086,assumption,(~node40(c_p1, s1)), introduced(assumption)).
% 49.55/32.21 tff(8087,plain,
% 49.55/32.21 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s1)) | m_processor_v_snoop(c_p1, s2, c_invalid) | m_processor_v_abort(c_p1, s1) | node41(c_p1, s1) | node40(c_p1, s1) | (~m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_invalid)) | (~node45(c_p1, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p1, s1)) | m_processor_v_snoop(c_p1, s2, c_invalid) | m_processor_v_abort(c_p1, s1) | node41(c_p1, s1) | node40(c_p1, s1) | (~m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_invalid)) | (~node45(c_p1, s1, s2)))),
% 49.55/32.21 inference(rewrite,[status(thm)],[])).
% 49.55/32.21 tff(8088,plain,
% 49.55/32.21 (((~m_processor_v_master(c_p1, s1)) | (~m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p1, s1) | node40(c_p1, s1) | node41(c_p1, s1) | (~node45(c_p1, s1, s2)) | m_processor_v_snoop(c_p1, s2, c_invalid)) <=> ((~m_processor_v_master(c_p1, s1)) | m_processor_v_snoop(c_p1, s2, c_invalid) | m_processor_v_abort(c_p1, s1) | node41(c_p1, s1) | node40(c_p1, s1) | (~m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_invalid)) | (~node45(c_p1, s1, s2)))),
% 49.55/32.21 inference(rewrite,[status(thm)],[])).
% 49.55/32.21 tff(8089,plain,
% 49.55/32.21 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s1)) | (~m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p1, s1) | node40(c_p1, s1) | node41(c_p1, s1) | (~node45(c_p1, s1, s2)) | m_processor_v_snoop(c_p1, s2, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s1)) | m_processor_v_snoop(c_p1, s2, c_invalid) | m_processor_v_abort(c_p1, s1) | node41(c_p1, s1) | node40(c_p1, s1) | (~m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_invalid)) | (~node45(c_p1, s1, s2))))),
% 49.55/32.21 inference(monotonicity,[status(thm)],[8088])).
% 49.55/32.21 tff(8090,plain,
% 49.55/32.21 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s1)) | (~m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p1, s1) | node40(c_p1, s1) | node41(c_p1, s1) | (~node45(c_p1, s1, s2)) | m_processor_v_snoop(c_p1, s2, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p1, s1)) | m_processor_v_snoop(c_p1, s2, c_invalid) | m_processor_v_abort(c_p1, s1) | node41(c_p1, s1) | node40(c_p1, s1) | (~m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_invalid)) | (~node45(c_p1, s1, s2)))),
% 49.55/32.21 inference(transitivity,[status(thm)],[8089, 8087])).
% 49.55/32.21 tff(8091,plain,
% 49.55/32.21 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s1)) | (~m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p1, s1) | node40(c_p1, s1) | node41(c_p1, s1) | (~node45(c_p1, s1, s2)) | m_processor_v_snoop(c_p1, s2, c_invalid))),
% 49.55/32.21 inference(quant_inst,[status(thm)],[])).
% 49.55/32.21 tff(8092,plain,
% 49.55/32.21 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p1, s1)) | m_processor_v_snoop(c_p1, s2, c_invalid) | m_processor_v_abort(c_p1, s1) | node41(c_p1, s1) | node40(c_p1, s1) | (~m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_invalid)) | (~node45(c_p1, s1, s2))),
% 49.55/32.21 inference(modus_ponens,[status(thm)],[8091, 8090])).
% 49.55/32.21 tff(8093,plain,
% 49.55/32.21 ((~m_processor_v_master(c_p1, s1)) | m_processor_v_snoop(c_p1, s2, c_invalid) | m_processor_v_abort(c_p1, s1) | node41(c_p1, s1) | node40(c_p1, s1) | (~m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_invalid))),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[8092, 7563, 8037])).
% 49.55/32.21 tff(8094,plain,
% 49.55/32.21 (~m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_invalid)),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[8093, 7456, 3205, 3773, 8086, 8085])).
% 49.55/32.21 tff(8095,assumption,(~node43(c_p1, s1)), introduced(assumption)).
% 49.55/32.21 tff(8096,assumption,(m_processor_v_snoop(c_p1, s1, c_invalid)), introduced(assumption)).
% 49.55/32.21 tff(8097,assumption,(node44(c_p1, s1, s2)), introduced(assumption)).
% 49.55/32.21 tff(8098,plain,
% 49.55/32.21 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | ((~m_processor_v_snoop(c_p1, s1, c_invalid)) | m_processor_v_snoop(c_p1, s2, c_invalid) | (~node44(c_p1, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | (~m_processor_v_snoop(c_p1, s1, c_invalid)) | m_processor_v_snoop(c_p1, s2, c_invalid) | (~node44(c_p1, s1, s2)))),
% 49.55/32.21 inference(rewrite,[status(thm)],[])).
% 49.55/32.21 tff(8099,plain,
% 49.55/32.21 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | ((~m_processor_v_snoop(c_p1, s1, c_invalid)) | m_processor_v_snoop(c_p1, s2, c_invalid) | (~node44(c_p1, s1, s2)))),
% 49.55/32.21 inference(quant_inst,[status(thm)],[])).
% 49.55/32.21 tff(8100,plain,
% 49.55/32.21 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | (~m_processor_v_snoop(c_p1, s1, c_invalid)) | m_processor_v_snoop(c_p1, s2, c_invalid) | (~node44(c_p1, s1, s2))),
% 49.55/32.21 inference(modus_ponens,[status(thm)],[8099, 8098])).
% 49.55/32.21 tff(8101,plain,
% 49.55/32.21 ($false),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[8100, 7470, 7456, 8096, 8097])).
% 49.55/32.21 tff(8102,plain,(m_processor_v_snoop(c_p1, s2, c_invalid) | (~m_processor_v_snoop(c_p1, s1, c_invalid)) | (~node44(c_p1, s1, s2))), inference(lemma,lemma(discharge,[]))).
% 49.55/32.21 tff(8103,plain,
% 49.55/32.21 (~node44(c_p1, s1, s2)),
% 49.55/32.21 inference(unit_resolution,[status(thm)],[8102, 7456, 8096])).
% 49.55/32.21 tff(8104,plain,
% 49.55/32.21 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p1, s1) | node43(c_p1, s1) | node42(c_p1, s1) | node41(c_p1, s1) | node40(c_p1, s1) | (~node45(c_p1, s1, s2)) | node44(c_p1, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p1, s1) | node43(c_p1, s1) | node42(c_p1, s1) | node41(c_p1, s1) | node40(c_p1, s1) | (~node45(c_p1, s1, s2)) | node44(c_p1, s1, s2))),
% 49.55/32.21 inference(rewrite,[status(thm)],[])).
% 49.55/32.21 tff(8105,plain,
% 49.55/32.21 ((m_processor_v_abort(c_p1, s1) | node40(c_p1, s1) | node41(c_p1, s1) | node42(c_p1, s1) | node43(c_p1, s1) | node44(c_p1, s1, s2) | (~node45(c_p1, s1, s2))) <=> (m_processor_v_abort(c_p1, s1) | node43(c_p1, s1) | node42(c_p1, s1) | node41(c_p1, s1) | node40(c_p1, s1) | (~node45(c_p1, s1, s2)) | node44(c_p1, s1, s2))),
% 49.55/32.21 inference(rewrite,[status(thm)],[])).
% 49.55/32.21 tff(8106,plain,
% 49.55/32.21 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p1, s1) | node40(c_p1, s1) | node41(c_p1, s1) | node42(c_p1, s1) | node43(c_p1, s1) | node44(c_p1, s1, s2) | (~node45(c_p1, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p1, s1) | node43(c_p1, s1) | node42(c_p1, s1) | node41(c_p1, s1) | node40(c_p1, s1) | (~node45(c_p1, s1, s2)) | node44(c_p1, s1, s2)))),
% 49.55/32.22 inference(monotonicity,[status(thm)],[8105])).
% 49.55/32.22 tff(8107,plain,
% 49.55/32.22 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p1, s1) | node40(c_p1, s1) | node41(c_p1, s1) | node42(c_p1, s1) | node43(c_p1, s1) | node44(c_p1, s1, s2) | (~node45(c_p1, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p1, s1) | node43(c_p1, s1) | node42(c_p1, s1) | node41(c_p1, s1) | node40(c_p1, s1) | (~node45(c_p1, s1, s2)) | node44(c_p1, s1, s2))),
% 49.55/32.22 inference(transitivity,[status(thm)],[8106, 8104])).
% 49.55/32.22 tff(8108,plain,
% 49.55/32.22 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p1, s1) | node40(c_p1, s1) | node41(c_p1, s1) | node42(c_p1, s1) | node43(c_p1, s1) | node44(c_p1, s1, s2) | (~node45(c_p1, s1, s2)))),
% 49.55/32.22 inference(quant_inst,[status(thm)],[])).
% 49.55/32.22 tff(8109,plain,
% 49.55/32.22 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p1, s1) | node43(c_p1, s1) | node42(c_p1, s1) | node41(c_p1, s1) | node40(c_p1, s1) | (~node45(c_p1, s1, s2)) | node44(c_p1, s1, s2)),
% 49.55/32.22 inference(modus_ponens,[status(thm)],[8108, 8107])).
% 49.55/32.22 tff(8110,plain,
% 49.55/32.22 (m_processor_v_abort(c_p1, s1) | node43(c_p1, s1) | node42(c_p1, s1) | node41(c_p1, s1) | node40(c_p1, s1) | node44(c_p1, s1, s2)),
% 49.55/32.22 inference(unit_resolution,[status(thm)],[8109, 7596, 8037])).
% 49.55/32.22 tff(8111,plain,
% 49.55/32.22 (node42(c_p1, s1)),
% 49.55/32.22 inference(unit_resolution,[status(thm)],[8110, 8103, 8086, 3773, 8085, 8095])).
% 49.55/32.22 tff(8112,assumption,(~m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_invalid)), introduced(assumption)).
% 49.55/32.22 tff(8113,assumption,(node42(c_p1, s1)), introduced(assumption)).
% 49.55/32.22 tff(8114,plain,
% 49.55/32.22 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | (m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_invalid) | (~node42(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_invalid) | (~node42(c_p1, s1)))),
% 49.55/32.22 inference(rewrite,[status(thm)],[])).
% 49.55/32.22 tff(8115,plain,
% 49.55/32.22 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | (m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_invalid) | (~node42(c_p1, s1)))),
% 49.55/32.22 inference(quant_inst,[status(thm)],[])).
% 49.55/32.22 tff(8116,plain,
% 49.55/32.22 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_invalid) | (~node42(c_p1, s1))),
% 49.55/32.22 inference(modus_ponens,[status(thm)],[8115, 8114])).
% 49.55/32.22 tff(8117,plain,
% 49.55/32.22 ($false),
% 49.55/32.22 inference(unit_resolution,[status(thm)],[8116, 7579, 8113, 8112])).
% 49.55/32.22 tff(8118,plain,((~node42(c_p1, s1)) | m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.55/32.22 tff(8119,plain,
% 49.55/32.22 ($false),
% 49.55/32.22 inference(unit_resolution,[status(thm)],[8118, 8111, 8094])).
% 49.55/32.22 tff(8120,plain,(m_processor_v_snoop(c_p1, s2, c_invalid) | node40(c_p1, s1) | m_processor_v_abort(c_p1, s1) | node41(c_p1, s1) | node43(c_p1, s1) | (~m_processor_v_master(c_p1, s1)) | (~m_processor_v_snoop(c_p1, s1, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 49.55/32.22 tff(8121,plain,
% 49.55/32.22 (m_processor_v_snoop(c_p1, s2, c_invalid) | node40(c_p1, s1) | m_processor_v_abort(c_p1, s1) | node41(c_p1, s1) | node43(c_p1, s1) | (~m_processor_v_master(c_p1, s1))),
% 49.55/32.22 inference(unit_resolution,[status(thm)],[8120, 8022])).
% 49.55/32.22 tff(8122,plain,
% 49.55/32.22 (node43(c_p1, s1)),
% 49.55/32.22 inference(unit_resolution,[status(thm)],[8121, 8084, 7456, 3205, 8073, 8045])).
% 49.55/32.22 tff(8123,assumption,(~m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_shared)), introduced(assumption)).
% 49.55/32.22 tff(8124,assumption,(node43(c_p1, s1)), introduced(assumption)).
% 49.55/32.22 tff(8125,plain,
% 49.55/32.22 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_shared) | (~node43(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_shared) | (~node43(c_p1, s1)))),
% 49.55/32.22 inference(rewrite,[status(thm)],[])).
% 49.55/32.22 tff(8126,plain,
% 49.55/32.22 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_shared) | (~node43(c_p1, s1)))),
% 49.55/32.22 inference(quant_inst,[status(thm)],[])).
% 49.55/32.22 tff(8127,plain,
% 49.55/32.22 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_shared) | (~node43(c_p1, s1))),
% 49.55/32.22 inference(modus_ponens,[status(thm)],[8126, 8125])).
% 49.55/32.22 tff(8128,plain,
% 49.55/32.22 ($false),
% 49.55/32.22 inference(unit_resolution,[status(thm)],[8127, 7631, 8124, 8123])).
% 49.55/32.22 tff(8129,plain,((~node43(c_p1, s1)) | m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.55/32.22 tff(8130,plain,
% 49.55/32.22 (m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_shared)),
% 49.55/32.22 inference(unit_resolution,[status(thm)],[8129, 8122])).
% 49.55/32.22 tff(8131,plain,
% 49.55/32.22 (~m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_invalid)),
% 49.55/32.22 inference(unit_resolution,[status(thm)],[8093, 8073, 7456, 8045, 3205, 8084])).
% 49.55/32.22 tff(8132,plain,
% 49.55/32.22 (~node42(c_p1, s1)),
% 49.55/32.22 inference(unit_resolution,[status(thm)],[8118, 8131])).
% 49.55/32.22 tff(8133,plain,
% 49.55/32.22 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s1)) | m_processor_v_snoop(c_p1, s2, c_invalid) | m_processor_v_abort(c_p1, s1) | node42(c_p1, s1) | node41(c_p1, s1) | node40(c_p1, s1) | (~m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_shared)) | (~node45(c_p1, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p1, s1)) | m_processor_v_snoop(c_p1, s2, c_invalid) | m_processor_v_abort(c_p1, s1) | node42(c_p1, s1) | node41(c_p1, s1) | node40(c_p1, s1) | (~m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_shared)) | (~node45(c_p1, s1, s2)))),
% 49.55/32.22 inference(rewrite,[status(thm)],[])).
% 49.55/32.22 tff(8134,plain,
% 49.55/32.22 (((~m_processor_v_master(c_p1, s1)) | (~m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p1, s1) | node40(c_p1, s1) | node41(c_p1, s1) | node42(c_p1, s1) | (~node45(c_p1, s1, s2)) | m_processor_v_snoop(c_p1, s2, c_invalid)) <=> ((~m_processor_v_master(c_p1, s1)) | m_processor_v_snoop(c_p1, s2, c_invalid) | m_processor_v_abort(c_p1, s1) | node42(c_p1, s1) | node41(c_p1, s1) | node40(c_p1, s1) | (~m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_shared)) | (~node45(c_p1, s1, s2)))),
% 49.55/32.22 inference(rewrite,[status(thm)],[])).
% 49.55/32.22 tff(8135,plain,
% 49.55/32.22 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s1)) | (~m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p1, s1) | node40(c_p1, s1) | node41(c_p1, s1) | node42(c_p1, s1) | (~node45(c_p1, s1, s2)) | m_processor_v_snoop(c_p1, s2, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s1)) | m_processor_v_snoop(c_p1, s2, c_invalid) | m_processor_v_abort(c_p1, s1) | node42(c_p1, s1) | node41(c_p1, s1) | node40(c_p1, s1) | (~m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_shared)) | (~node45(c_p1, s1, s2))))),
% 49.55/32.22 inference(monotonicity,[status(thm)],[8134])).
% 49.55/32.22 tff(8136,plain,
% 49.55/32.22 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s1)) | (~m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p1, s1) | node40(c_p1, s1) | node41(c_p1, s1) | node42(c_p1, s1) | (~node45(c_p1, s1, s2)) | m_processor_v_snoop(c_p1, s2, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p1, s1)) | m_processor_v_snoop(c_p1, s2, c_invalid) | m_processor_v_abort(c_p1, s1) | node42(c_p1, s1) | node41(c_p1, s1) | node40(c_p1, s1) | (~m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_shared)) | (~node45(c_p1, s1, s2)))),
% 49.55/32.22 inference(transitivity,[status(thm)],[8135, 8133])).
% 49.55/32.22 tff(8137,plain,
% 49.55/32.22 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s1)) | (~m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p1, s1) | node40(c_p1, s1) | node41(c_p1, s1) | node42(c_p1, s1) | (~node45(c_p1, s1, s2)) | m_processor_v_snoop(c_p1, s2, c_invalid))),
% 49.55/32.22 inference(quant_inst,[status(thm)],[])).
% 49.55/32.22 tff(8138,plain,
% 49.55/32.22 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p1, s1)) | m_processor_v_snoop(c_p1, s2, c_invalid) | m_processor_v_abort(c_p1, s1) | node42(c_p1, s1) | node41(c_p1, s1) | node40(c_p1, s1) | (~m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_shared)) | (~node45(c_p1, s1, s2))),
% 49.55/32.22 inference(modus_ponens,[status(thm)],[8137, 8136])).
% 49.55/32.22 tff(8139,plain,
% 49.55/32.22 ((~m_processor_v_master(c_p1, s1)) | m_processor_v_snoop(c_p1, s2, c_invalid) | m_processor_v_abort(c_p1, s1) | node42(c_p1, s1) | node41(c_p1, s1) | node40(c_p1, s1) | (~m_processor_v_CMD(c_p1, s1, c_write_h_resp_h_shared))),
% 49.55/32.22 inference(unit_resolution,[status(thm)],[8138, 7615, 8037])).
% 49.55/32.22 tff(8140,plain,
% 49.55/32.22 ($false),
% 49.55/32.22 inference(unit_resolution,[status(thm)],[8139, 8132, 8130, 3205, 8045, 8084, 8073, 7456])).
% 49.55/32.22 tff(8141,plain,((~m_processor_v_master(c_p1, s1)) | m_processor_v_snoop(c_p1, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.55/32.22 tff(8142,plain,
% 49.55/32.22 (~m_processor_v_master(c_p1, s1)),
% 49.55/32.22 inference(unit_resolution,[status(thm)],[8141, 7456])).
% 49.55/32.22 tff(8143,plain,
% 49.55/32.22 (~m_processor_v_state(c_p1, s1, c_shared)),
% 49.55/32.22 inference(unit_resolution,[status(thm)],[5057, 3104])).
% 49.55/32.22 tff(8144,plain,
% 49.55/32.22 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | (m_processor_v_state(c_p1, s1, c_owned) | (~node40(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | m_processor_v_state(c_p1, s1, c_owned) | (~node40(c_p1, s1)))),
% 49.55/32.22 inference(rewrite,[status(thm)],[])).
% 49.55/32.22 tff(8145,plain,
% 49.55/32.22 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | (m_processor_v_state(c_p1, s1, c_owned) | (~node40(c_p1, s1)))),
% 49.55/32.22 inference(quant_inst,[status(thm)],[])).
% 49.55/32.22 tff(8146,plain,
% 49.55/32.22 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | m_processor_v_state(c_p1, s1, c_owned) | (~node40(c_p1, s1))),
% 49.55/32.22 inference(modus_ponens,[status(thm)],[8145, 8144])).
% 49.55/32.22 tff(8147,plain,
% 49.55/32.22 (~node40(c_p1, s1)),
% 49.55/32.22 inference(unit_resolution,[status(thm)],[8146, 7535, 3154])).
% 49.55/32.22 tff(8148,plain,
% 49.55/32.22 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | (m_processor_v_state(c_p1, s1, c_owned) | (~node41(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | m_processor_v_state(c_p1, s1, c_owned) | (~node41(c_p1, s1)))),
% 49.55/32.22 inference(rewrite,[status(thm)],[])).
% 49.55/32.22 tff(8149,plain,
% 49.55/32.22 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | (m_processor_v_state(c_p1, s1, c_owned) | (~node41(c_p1, s1)))),
% 49.55/32.22 inference(quant_inst,[status(thm)],[])).
% 49.55/32.22 tff(8150,plain,
% 49.55/32.22 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | m_processor_v_state(c_p1, s1, c_owned) | (~node41(c_p1, s1))),
% 49.55/32.22 inference(modus_ponens,[status(thm)],[8149, 8148])).
% 49.55/32.22 tff(8151,plain,
% 49.55/32.22 (~node41(c_p1, s1)),
% 49.55/32.22 inference(unit_resolution,[status(thm)],[8150, 7548, 3154])).
% 49.55/32.22 tff(8152,assumption,(~node44(c_p1, s1, s2)), introduced(assumption)).
% 49.55/32.22 tff(8153,plain,
% 49.55/32.22 (^[I0: $i, X: $i] : refl((m_processor_v_master(I0, X) | (~node43(I0, X))) <=> (m_processor_v_master(I0, X) | (~node43(I0, X))))),
% 49.55/32.22 inference(bind,[status(th)],[])).
% 49.55/32.22 tff(8154,plain,
% 49.55/32.22 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))),
% 49.55/32.22 inference(quant_intro,[status(thm)],[8153])).
% 49.55/32.22 tff(8155,plain,
% 49.55/32.22 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))),
% 49.55/32.22 inference(rewrite,[status(thm)],[])).
% 49.55/32.22 tff(8156,axiom,(![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_83')).
% 49.55/32.22 tff(8157,plain,
% 49.55/32.22 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))),
% 49.55/32.22 inference(modus_ponens,[status(thm)],[8156, 8155])).
% 49.55/32.22 tff(8158,plain,(
% 49.55/32.22 ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))),
% 49.55/32.22 inference(skolemize,[status(sab)],[8157])).
% 49.55/32.22 tff(8159,plain,
% 49.55/32.22 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))),
% 49.55/32.22 inference(modus_ponens,[status(thm)],[8158, 8154])).
% 49.55/32.22 tff(8160,plain,
% 49.55/32.22 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | (m_processor_v_master(c_p1, s1) | (~node43(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | m_processor_v_master(c_p1, s1) | (~node43(c_p1, s1)))),
% 49.55/32.22 inference(rewrite,[status(thm)],[])).
% 49.55/32.22 tff(8161,plain,
% 49.55/32.22 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | (m_processor_v_master(c_p1, s1) | (~node43(c_p1, s1)))),
% 49.55/32.22 inference(quant_inst,[status(thm)],[])).
% 49.55/32.22 tff(8162,plain,
% 49.55/32.22 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | m_processor_v_master(c_p1, s1) | (~node43(c_p1, s1))),
% 49.55/32.22 inference(modus_ponens,[status(thm)],[8161, 8160])).
% 49.55/32.22 tff(8163,plain,
% 49.55/32.22 (~node43(c_p1, s1)),
% 49.55/32.22 inference(unit_resolution,[status(thm)],[8162, 8159, 3111])).
% 49.55/32.22 tff(8164,plain,
% 49.55/32.22 (^[I0: $i, X: $i] : refl((m_processor_v_master(I0, X) | (~node42(I0, X))) <=> (m_processor_v_master(I0, X) | (~node42(I0, X))))),
% 49.55/32.22 inference(bind,[status(th)],[])).
% 49.55/32.22 tff(8165,plain,
% 49.55/32.22 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))),
% 49.55/32.22 inference(quant_intro,[status(thm)],[8164])).
% 49.55/32.22 tff(8166,plain,
% 49.55/32.22 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))),
% 49.55/32.22 inference(rewrite,[status(thm)],[])).
% 49.55/32.22 tff(8167,axiom,(![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_81')).
% 49.55/32.22 tff(8168,plain,
% 49.55/32.22 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))),
% 49.55/32.22 inference(modus_ponens,[status(thm)],[8167, 8166])).
% 49.55/32.22 tff(8169,plain,(
% 49.55/32.22 ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))),
% 49.55/32.22 inference(skolemize,[status(sab)],[8168])).
% 49.55/32.22 tff(8170,plain,
% 49.55/32.22 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))),
% 49.55/32.22 inference(modus_ponens,[status(thm)],[8169, 8165])).
% 49.55/32.22 tff(8171,plain,
% 49.55/32.22 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | (m_processor_v_master(c_p1, s1) | (~node42(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | m_processor_v_master(c_p1, s1) | (~node42(c_p1, s1)))),
% 49.55/32.22 inference(rewrite,[status(thm)],[])).
% 49.55/32.22 tff(8172,plain,
% 49.55/32.22 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | (m_processor_v_master(c_p1, s1) | (~node42(c_p1, s1)))),
% 49.55/32.22 inference(quant_inst,[status(thm)],[])).
% 49.55/32.22 tff(8173,plain,
% 49.55/32.22 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | m_processor_v_master(c_p1, s1) | (~node42(c_p1, s1))),
% 49.55/32.22 inference(modus_ponens,[status(thm)],[8172, 8171])).
% 49.55/32.22 tff(8174,plain,
% 49.55/32.22 (~node42(c_p1, s1)),
% 49.55/32.22 inference(unit_resolution,[status(thm)],[8173, 8170, 3111])).
% 49.55/32.22 tff(8175,plain,
% 49.55/32.22 ($false),
% 49.55/32.22 inference(unit_resolution,[status(thm)],[8110, 8174, 8163, 8086, 8152, 8085, 3773])).
% 49.55/32.22 tff(8176,plain,(m_processor_v_master(c_p1, s1) | node40(c_p1, s1) | node44(c_p1, s1, s2) | node41(c_p1, s1) | m_processor_v_abort(c_p1, s1)), inference(lemma,lemma(discharge,[]))).
% 49.55/32.22 tff(8177,plain,
% 49.55/32.22 (m_processor_v_master(c_p1, s1)),
% 49.55/32.22 inference(unit_resolution,[status(thm)],[8176, 3773, 8152, 8151, 8147])).
% 49.55/32.22 tff(8178,plain,
% 49.55/32.22 (node34(c_p1, s1, s2)),
% 49.55/32.22 inference(unit_resolution,[status(thm)],[3224, 8177, 3773])).
% 49.55/32.22 tff(8179,plain,
% 49.55/32.22 (~m_processor_v_cmd(c_p1, s1, c_idle)),
% 49.55/32.22 inference(unit_resolution,[status(thm)],[3214, 8177, 3104])).
% 49.55/32.22 tff(8180,plain,
% 49.55/32.22 (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)),
% 49.55/32.22 inference(unit_resolution,[status(thm)],[3238, 3230, 3110])).
% 49.55/32.22 tff(8181,plain,
% 49.55/32.22 (~m_processor_v_master(c_p0, s1)),
% 49.55/32.22 inference(unit_resolution,[status(thm)],[3257, 794, 3336])).
% 49.55/32.22 tff(8182,plain,
% 49.55/32.22 (m_processor_v_cmd(c_p0, s1, c_idle)),
% 49.55/32.22 inference(unit_resolution,[status(thm)],[3298, 8181])).
% 49.55/32.22 tff(8183,plain,
% 49.55/32.22 (m_main_v_CMD(s1, c_read_h_owned)),
% 49.55/32.22 inference(unit_resolution,[status(thm)],[3721, 3300, 3301, 3375, 3104])).
% 49.55/32.22 tff(8184,plain,
% 49.55/32.22 (m_processor_v_CMD(c_p1, s1, c_read_h_owned)),
% 49.55/32.22 inference(unit_resolution,[status(thm)],[3732, 8183])).
% 49.55/32.22 tff(8185,plain,
% 49.55/32.22 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)) | (~node3(s1)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s1, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)) | (~node3(s1)))),
% 49.55/32.22 inference(rewrite,[status(thm)],[])).
% 49.55/32.22 tff(8186,plain,
% 49.55/32.22 ((m_main_v_CMD(s1, c_read_h_shared) | (~node3(s1)) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared))) <=> (m_main_v_CMD(s1, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)) | (~node3(s1)))),
% 49.55/32.22 inference(rewrite,[status(thm)],[])).
% 49.55/32.22 tff(8187,plain,
% 49.55/32.22 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~node3(s1)) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)) | (~node3(s1))))),
% 49.55/32.22 inference(monotonicity,[status(thm)],[8186])).
% 49.55/32.22 tff(8188,plain,
% 49.55/32.22 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~node3(s1)) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s1, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)) | (~node3(s1)))),
% 49.55/32.22 inference(transitivity,[status(thm)],[8187, 8185])).
% 49.55/32.22 tff(8189,plain,
% 49.55/32.22 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~node3(s1)) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)))),
% 49.55/32.22 inference(quant_inst,[status(thm)],[])).
% 49.55/32.22 tff(8190,plain,
% 49.55/32.22 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s1, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)) | (~node3(s1))),
% 49.55/32.22 inference(modus_ponens,[status(thm)],[8189, 8188])).
% 49.55/32.22 tff(8191,plain,
% 49.55/32.22 (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)),
% 49.55/32.22 inference(unit_resolution,[status(thm)],[8190, 1260, 3245, 3300])).
% 49.55/32.22 tff(8192,plain,
% 49.55/32.22 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | (m_processor_v_state(c_p1, s2, c_owned) | m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~node34(c_p1, s1, s2)) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_state(c_p1, s2, c_owned) | m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~node34(c_p1, s1, s2)) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)))),
% 49.55/32.22 inference(rewrite,[status(thm)],[])).
% 49.55/32.22 tff(8193,plain,
% 49.55/32.22 (((~node34(c_p1, s1, s2)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared) | m_processor_v_state(c_p1, s2, c_owned) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned))) <=> (m_processor_v_state(c_p1, s2, c_owned) | m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~node34(c_p1, s1, s2)) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)))),
% 49.55/32.22 inference(rewrite,[status(thm)],[])).
% 49.55/32.22 tff(8194,plain,
% 49.55/32.22 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p1, s1, s2)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared) | m_processor_v_state(c_p1, s2, c_owned) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | (m_processor_v_state(c_p1, s2, c_owned) | m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~node34(c_p1, s1, s2)) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned))))),
% 49.55/32.22 inference(monotonicity,[status(thm)],[8193])).
% 49.55/32.22 tff(8195,plain,
% 49.55/32.22 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p1, s1, s2)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared) | m_processor_v_state(c_p1, s2, c_owned) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_state(c_p1, s2, c_owned) | m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~node34(c_p1, s1, s2)) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)))),
% 49.55/32.22 inference(transitivity,[status(thm)],[8194, 8192])).
% 49.55/32.22 tff(8196,plain,
% 49.55/32.22 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p1, s1, s2)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared) | m_processor_v_state(c_p1, s2, c_owned) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)))),
% 49.61/32.22 inference(quant_inst,[status(thm)],[])).
% 49.61/32.22 tff(8197,plain,
% 49.61/32.22 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_state(c_p1, s2, c_owned) | m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~node34(c_p1, s1, s2)) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned))),
% 49.61/32.22 inference(modus_ponens,[status(thm)],[8196, 8195])).
% 49.61/32.22 tff(8198,plain,
% 49.61/32.22 ($false),
% 49.61/32.22 inference(unit_resolution,[status(thm)],[8197, 1864, 3230, 8191, 3112, 8184])).
% 49.61/32.22 tff(8199,plain,(m_main_v_CMD(s1, c_read_h_shared) | (~node34(c_p1, s1, s2)) | m_processor_v_state(c_p1, s2, c_owned) | m_processor_v_cmd(c_p1, s1, c_idle) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_state(c_p1, s1, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 49.61/32.22 tff(8200,plain,
% 49.61/32.22 (m_main_v_CMD(s1, c_read_h_shared)),
% 49.61/32.22 inference(unit_resolution,[status(thm)],[8199, 3230, 3112, 3301, 8182, 3104])).
% 49.61/32.22 tff(8201,plain,
% 49.61/32.22 ($false),
% 49.61/32.22 inference(unit_resolution,[status(thm)],[3253, 8200, 8180])).
% 49.61/32.22 tff(8202,plain,((~node34(c_p1, s1, s2)) | m_processor_v_state(c_p1, s2, c_owned) | m_processor_v_cmd(c_p1, s1, c_idle) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_state(c_p1, s2, c_shared)), inference(lemma,lemma(discharge,[]))).
% 49.61/32.22 tff(8203,plain,
% 49.61/32.22 ($false),
% 49.61/32.22 inference(unit_resolution,[status(thm)],[8202, 8179, 8178, 3112, 3104, 3110])).
% 49.61/32.22 tff(8204,plain,(m_processor_v_abort(c_p1, s1) | m_processor_v_state(c_p1, s2, c_owned) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_state(c_p1, s2, c_shared) | node44(c_p1, s1, s2)), inference(lemma,lemma(discharge,[]))).
% 49.61/32.22 tff(8205,plain,
% 49.61/32.22 (m_processor_v_abort(c_p1, s1)),
% 49.61/32.22 inference(unit_resolution,[status(thm)],[8204, 8103, 3104, 3110, 3112])).
% 49.61/32.22 tff(8206,plain,
% 49.61/32.22 (node39(c_p1, s1, s2)),
% 49.61/32.22 inference(unit_resolution,[status(thm)],[8044, 8205])).
% 49.61/32.22 tff(8207,plain,
% 49.61/32.22 ($false),
% 49.61/32.22 inference(unit_resolution,[status(thm)],[8028, 7486, 7456, 8096, 8206])).
% 49.61/32.22 tff(8208,plain,(m_processor_v_snoop(c_p1, s2, c_invalid) | (~m_processor_v_snoop(c_p1, s1, c_invalid)) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_state(c_p1, s2, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.61/32.22 tff(8209,plain,
% 49.61/32.22 (m_processor_v_snoop(c_p1, s2, c_invalid) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_state(c_p1, s2, c_owned)),
% 49.61/32.22 inference(unit_resolution,[status(thm)],[8208, 8022])).
% 49.61/32.22 tff(8210,plain,
% 49.61/32.22 (m_processor_v_state(c_p1, s2, c_shared)),
% 49.61/32.22 inference(unit_resolution,[status(thm)],[8209, 3104, 3112, 7456])).
% 49.61/32.22 tff(8211,plain,
% 49.61/32.22 ($false),
% 49.61/32.22 inference(unit_resolution,[status(thm)],[3813, 8210, 8143, 8142])).
% 49.61/32.22 tff(8212,plain,((~m_processor_v_state(c_p1, s1, c_invalid)) | m_processor_v_state(c_p1, s2, c_owned) | m_processor_v_snoop(c_p1, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.61/32.22 tff(8213,plain,
% 49.61/32.22 (~m_processor_v_state(c_p1, s1, c_invalid)),
% 49.61/32.22 inference(unit_resolution,[status(thm)],[8212, 7456, 3112])).
% 49.61/32.22 tff(8214,plain,
% 49.61/32.22 (m_memory_v_busy(c_m, s1)),
% 49.61/32.22 inference(unit_resolution,[status(thm)],[4805, 8213])).
% 49.61/32.22 tff(8215,plain,
% 49.61/32.22 (node30(c_m, s1)),
% 49.61/32.22 inference(unit_resolution,[status(thm)],[4827, 8214, 8062])).
% 49.61/32.22 tff(8216,plain,
% 49.61/32.22 (~m_memory_v_CMD(c_m, s1, c_read_h_owned)),
% 49.61/32.22 inference(unit_resolution,[status(thm)],[5070, 8215])).
% 49.61/32.22 tff(8217,plain,
% 49.61/32.22 (~m_main_v_CMD(s1, c_read_h_owned)),
% 49.61/32.22 inference(unit_resolution,[status(thm)],[5034, 8216])).
% 49.61/32.22 tff(8218,plain,
% 49.61/32.22 (m_processor_v_master(c_p1, s0)),
% 49.61/32.22 inference(unit_resolution,[status(thm)],[3102, 8213])).
% 49.61/32.22 tff(8219,plain,
% 49.61/32.22 (~m_processor_v_master(c_p0, s0)),
% 49.61/32.22 inference(unit_resolution,[status(thm)],[2974, 8218])).
% 49.61/32.22 tff(8220,plain,
% 49.61/32.22 (m_processor_v_state(c_p0, s1, c_invalid)),
% 49.61/32.22 inference(unit_resolution,[status(thm)],[2846, 8219])).
% 49.61/32.22 tff(8221,plain,
% 49.61/32.22 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s1, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node2(s1)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s1, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node2(s1)))),
% 49.61/32.22 inference(rewrite,[status(thm)],[])).
% 49.61/32.22 tff(8222,plain,
% 49.61/32.22 ((m_main_v_CMD(s1, c_read_h_owned) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned))) <=> (m_main_v_CMD(s1, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node2(s1)))),
% 49.61/32.22 inference(rewrite,[status(thm)],[])).
% 49.61/32.22 tff(8223,plain,
% 49.61/32.22 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s1, c_read_h_owned) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s1, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node2(s1))))),
% 49.61/32.22 inference(monotonicity,[status(thm)],[8222])).
% 49.61/32.22 tff(8224,plain,
% 49.61/32.22 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s1, c_read_h_owned) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s1, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node2(s1)))),
% 49.61/32.22 inference(transitivity,[status(thm)],[8223, 8221])).
% 49.61/32.22 tff(8225,plain,
% 49.61/32.22 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s1, c_read_h_owned) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)))),
% 49.61/32.22 inference(quant_inst,[status(thm)],[])).
% 49.61/32.22 tff(8226,plain,
% 49.61/32.22 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s1, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node2(s1))),
% 49.61/32.22 inference(modus_ponens,[status(thm)],[8225, 8224])).
% 49.61/32.22 tff(8227,plain,
% 49.61/32.22 ($false),
% 49.61/32.22 inference(unit_resolution,[status(thm)],[8226, 1612, 4907, 3376, 4918])).
% 49.61/32.22 tff(8228,plain,((~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | m_main_v_CMD(s1, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.61/32.22 tff(8229,plain,
% 49.61/32.22 (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)),
% 49.61/32.22 inference(unit_resolution,[status(thm)],[8228, 8217])).
% 49.61/32.22 tff(8230,assumption,(m_processor_v_abort(c_p0, s1)), introduced(assumption)).
% 49.61/32.22 tff(8231,plain,
% 49.61/32.22 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | (m_main_v_REPLY_h_STALL(s1) | (~m_processor_v_REPLY_h_STALL(c_p0, s1)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | m_main_v_REPLY_h_STALL(s1) | (~m_processor_v_REPLY_h_STALL(c_p0, s1)))),
% 49.61/32.22 inference(rewrite,[status(thm)],[])).
% 49.61/32.22 tff(8232,plain,
% 49.61/32.22 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | (m_main_v_REPLY_h_STALL(s1) | (~m_processor_v_REPLY_h_STALL(c_p0, s1)))),
% 49.61/32.22 inference(quant_inst,[status(thm)],[])).
% 49.61/32.22 tff(8233,plain,
% 49.61/32.22 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | m_main_v_REPLY_h_STALL(s1) | (~m_processor_v_REPLY_h_STALL(c_p0, s1))),
% 49.61/32.22 inference(modus_ponens,[status(thm)],[8232, 8231])).
% 49.61/32.22 tff(8234,plain,
% 49.61/32.22 ($false),
% 49.61/32.22 inference(unit_resolution,[status(thm)],[8233, 1729, 3898, 3882])).
% 49.61/32.22 tff(8235,plain,(m_main_v_REPLY_h_STALL(s1) | (~m_processor_v_REPLY_h_STALL(c_p0, s1))), inference(lemma,lemma(discharge,[]))).
% 49.61/32.22 tff(8236,plain,
% 49.61/32.22 (~m_processor_v_REPLY_h_STALL(c_p0, s1)),
% 49.61/32.22 inference(unit_resolution,[status(thm)],[8235, 3898])).
% 49.61/32.22 tff(8237,assumption,(~node61(c_p0, s1)), introduced(assumption)).
% 49.61/32.22 tff(8238,plain,
% 49.61/32.22 (((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p0, s1)) | m_processor_v_REPLY_h_STALL(c_p0, s1) | node61(c_p0, s1))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p0, s1)) | m_processor_v_REPLY_h_STALL(c_p0, s1) | node61(c_p0, s1))),
% 49.61/32.23 inference(rewrite,[status(thm)],[])).
% 49.61/32.23 tff(8239,plain,
% 49.61/32.23 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p0, s1)) | m_processor_v_REPLY_h_STALL(c_p0, s1) | node61(c_p0, s1))),
% 49.61/32.23 inference(quant_inst,[status(thm)],[])).
% 49.61/32.23 tff(8240,plain,
% 49.61/32.23 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p0, s1)) | m_processor_v_REPLY_h_STALL(c_p0, s1) | node61(c_p0, s1)),
% 49.61/32.23 inference(modus_ponens,[status(thm)],[8239, 8238])).
% 49.61/32.23 tff(8241,plain,
% 49.61/32.23 ($false),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[8240, 1417, 8230, 3890, 8237])).
% 49.61/32.23 tff(8242,plain,((~m_processor_v_abort(c_p0, s1)) | m_processor_v_REPLY_h_STALL(c_p0, s1) | node61(c_p0, s1)), inference(lemma,lemma(discharge,[]))).
% 49.61/32.23 tff(8243,plain,
% 49.61/32.23 (node61(c_p0, s1)),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[8242, 8236, 8230])).
% 49.61/32.23 tff(8244,plain,
% 49.61/32.23 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~node61(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~node61(c_p0, s1)))),
% 49.61/32.23 inference(rewrite,[status(thm)],[])).
% 49.61/32.23 tff(8245,plain,
% 49.61/32.23 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~node61(c_p0, s1)))),
% 49.61/32.23 inference(quant_inst,[status(thm)],[])).
% 49.61/32.23 tff(8246,plain,
% 49.61/32.23 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~node61(c_p0, s1))),
% 49.61/32.23 inference(modus_ponens,[status(thm)],[8245, 8244])).
% 49.61/32.23 tff(8247,plain,
% 49.61/32.23 (m_processor_v_CMD(c_p0, s1, c_read_h_shared)),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[8246, 2268, 4903, 8243])).
% 49.61/32.23 tff(8248,plain,
% 49.61/32.23 (m_main_v_CMD(s1, c_read_h_shared)),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[4933, 1612, 4907, 8247])).
% 49.61/32.23 tff(8249,plain,
% 49.61/32.23 (m_memory_v_CMD(c_m, s1, c_read_h_shared)),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[4964, 4207, 4961, 8248])).
% 49.61/32.23 tff(8250,plain,
% 49.61/32.23 (node7(s1)),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[3910, 3898])).
% 49.61/32.23 tff(8251,plain,
% 49.61/32.23 (~m_memory_v_reply_h_stall(c_m, s1)),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[3928, 8250])).
% 49.61/32.23 tff(8252,plain,
% 49.61/32.23 (node30(c_m, s1)),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[4827, 8251, 4809])).
% 49.61/32.23 tff(8253,plain,
% 49.61/32.23 ($false),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[4975, 4972, 8252, 8249])).
% 49.61/32.23 tff(8254,plain,(m_main_v_REPLY_h_STALL(s1) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~m_memory_v_busy(c_m, s1)) | (~m_processor_v_abort(c_p0, s1))), inference(lemma,lemma(discharge,[]))).
% 49.61/32.23 tff(8255,plain,
% 49.61/32.23 (~m_processor_v_abort(c_p0, s1)),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[8254, 8229, 8060, 8214])).
% 49.61/32.23 tff(8256,plain,
% 49.61/32.23 (m_processor_v_state(c_p0, s2, c_invalid)),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[5064, 8255, 8213, 8220, 8217])).
% 49.61/32.23 tff(8257,plain,
% 49.61/32.23 (m_processor_v_snoop(c_p1, s2, c_invalid) | (~node44(c_p1, s1, s2))),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[8102, 8022])).
% 49.61/32.23 tff(8258,plain,
% 49.61/32.23 (~node44(c_p1, s1, s2)),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[8257, 7456])).
% 49.61/32.23 tff(8259,plain,
% 49.61/32.23 (m_processor_v_cmd(c_p1, s1, c_idle)),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[3335, 3111])).
% 49.61/32.23 tff(8260,plain,
% 49.61/32.23 (^[X: $i] : refl(((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response))) <=> ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response))))),
% 49.61/32.23 inference(bind,[status(th)],[])).
% 49.61/32.23 tff(8261,plain,
% 49.61/32.23 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))),
% 49.61/32.23 inference(quant_intro,[status(thm)],[8260])).
% 49.61/32.23 tff(8262,plain,
% 49.61/32.23 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))),
% 49.61/32.23 inference(rewrite,[status(thm)],[])).
% 49.61/32.23 tff(8263,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_16')).
% 49.61/32.23 tff(8264,plain,
% 49.61/32.23 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))),
% 49.61/32.23 inference(modus_ponens,[status(thm)],[8263, 8262])).
% 49.61/32.23 tff(8265,plain,(
% 49.61/32.23 ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))),
% 49.61/32.23 inference(skolemize,[status(sab)],[8264])).
% 49.61/32.23 tff(8266,plain,
% 49.61/32.23 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))),
% 49.61/32.23 inference(modus_ponens,[status(thm)],[8265, 8261])).
% 49.61/32.23 tff(8267,plain,
% 49.61/32.23 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s1, c_read_h_shared)) | (~m_main_v_CMD(s1, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s1, c_read_h_shared)) | (~m_main_v_CMD(s1, c_response)))),
% 49.61/32.23 inference(rewrite,[status(thm)],[])).
% 49.61/32.23 tff(8268,plain,
% 49.61/32.23 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s1, c_read_h_shared)) | (~m_main_v_CMD(s1, c_response)))),
% 49.61/32.23 inference(quant_inst,[status(thm)],[])).
% 49.61/32.23 tff(8269,plain,
% 49.61/32.23 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s1, c_read_h_shared)) | (~m_main_v_CMD(s1, c_response))),
% 49.61/32.23 inference(modus_ponens,[status(thm)],[8268, 8267])).
% 49.61/32.23 tff(8270,plain,
% 49.61/32.23 (~m_main_v_CMD(s1, c_response)),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[8269, 8266, 3240])).
% 49.61/32.23 tff(8271,plain,
% 49.61/32.23 (^[X: $i] : refl(((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared))) <=> ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared))))),
% 49.61/32.23 inference(bind,[status(th)],[])).
% 49.61/32.23 tff(8272,plain,
% 49.61/32.23 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))),
% 49.61/32.23 inference(quant_intro,[status(thm)],[8271])).
% 49.61/32.23 tff(8273,plain,
% 49.61/32.23 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))),
% 49.61/32.23 inference(rewrite,[status(thm)],[])).
% 49.61/32.23 tff(8274,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_2')).
% 49.61/32.23 tff(8275,plain,
% 49.61/32.23 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))),
% 49.61/32.23 inference(modus_ponens,[status(thm)],[8274, 8273])).
% 49.61/32.23 tff(8276,plain,(
% 49.61/32.23 ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))),
% 49.61/32.23 inference(skolemize,[status(sab)],[8275])).
% 49.61/32.23 tff(8277,plain,
% 49.61/32.23 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))),
% 49.61/32.23 inference(modus_ponens,[status(thm)],[8276, 8272])).
% 49.61/32.23 tff(8278,plain,
% 49.61/32.23 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))) | ((~m_main_v_CMD(s1, c_idle)) | (~m_main_v_CMD(s1, c_read_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))) | (~m_main_v_CMD(s1, c_idle)) | (~m_main_v_CMD(s1, c_read_h_shared)))),
% 49.61/32.23 inference(rewrite,[status(thm)],[])).
% 49.61/32.23 tff(8279,plain,
% 49.61/32.23 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))) | ((~m_main_v_CMD(s1, c_idle)) | (~m_main_v_CMD(s1, c_read_h_shared)))),
% 49.61/32.23 inference(quant_inst,[status(thm)],[])).
% 49.61/32.23 tff(8280,plain,
% 49.61/32.23 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))) | (~m_main_v_CMD(s1, c_idle)) | (~m_main_v_CMD(s1, c_read_h_shared))),
% 49.61/32.23 inference(modus_ponens,[status(thm)],[8279, 8278])).
% 49.61/32.23 tff(8281,plain,
% 49.61/32.23 (~m_main_v_CMD(s1, c_idle)),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[8280, 8277, 3240])).
% 49.61/32.23 tff(8282,assumption,(~m_main_v_CMD(s1, c_idle)), introduced(assumption)).
% 49.61/32.23 tff(8283,plain,
% 49.61/32.23 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | ((~m_processor_v_cmd(c_p0, s1, c_idle)) | m_main_v_CMD(s1, c_idle) | (~node12(s1)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | m_main_v_CMD(s1, c_idle) | (~node12(s1)))),
% 49.61/32.23 inference(rewrite,[status(thm)],[])).
% 49.61/32.23 tff(8284,plain,
% 49.61/32.23 ((m_main_v_CMD(s1, c_idle) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~node12(s1))) <=> ((~m_processor_v_cmd(c_p0, s1, c_idle)) | m_main_v_CMD(s1, c_idle) | (~node12(s1)))),
% 49.61/32.23 inference(rewrite,[status(thm)],[])).
% 49.61/32.23 tff(8285,plain,
% 49.61/32.23 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s1, c_idle) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~node12(s1)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | ((~m_processor_v_cmd(c_p0, s1, c_idle)) | m_main_v_CMD(s1, c_idle) | (~node12(s1))))),
% 49.61/32.23 inference(monotonicity,[status(thm)],[8284])).
% 49.61/32.23 tff(8286,plain,
% 49.61/32.23 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s1, c_idle) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~node12(s1)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | m_main_v_CMD(s1, c_idle) | (~node12(s1)))),
% 49.61/32.23 inference(transitivity,[status(thm)],[8285, 8283])).
% 49.61/32.23 tff(8287,plain,
% 49.61/32.23 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s1, c_idle) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~node12(s1)))),
% 49.61/32.23 inference(quant_inst,[status(thm)],[])).
% 49.61/32.23 tff(8288,plain,
% 49.61/32.23 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | m_main_v_CMD(s1, c_idle) | (~node12(s1))),
% 49.61/32.23 inference(modus_ponens,[status(thm)],[8287, 8286])).
% 49.61/32.23 tff(8289,plain,
% 49.61/32.23 (m_main_v_CMD(s1, c_idle) | (~node12(s1))),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[8288, 2128, 3375])).
% 49.61/32.23 tff(8290,plain,
% 49.61/32.23 (~node12(s1)),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[8289, 8282])).
% 49.61/32.23 tff(8291,plain,
% 49.61/32.23 (m_processor_v_cmd(c_p2, s1, c_idle)),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[3695, 8290, 3375])).
% 49.61/32.23 tff(8292,plain,
% 49.61/32.23 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~m_processor_v_cmd(c_p0, s1, c_idle)) | m_main_v_CMD(s1, c_idle) | (~node8(s1)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | m_main_v_CMD(s1, c_idle) | (~node8(s1)))),
% 49.61/32.23 inference(rewrite,[status(thm)],[])).
% 49.61/32.23 tff(8293,plain,
% 49.61/32.23 ((m_main_v_CMD(s1, c_idle) | (~node8(s1)) | (~m_processor_v_cmd(c_p0, s1, c_idle))) <=> ((~m_processor_v_cmd(c_p0, s1, c_idle)) | m_main_v_CMD(s1, c_idle) | (~node8(s1)))),
% 49.61/32.23 inference(rewrite,[status(thm)],[])).
% 49.61/32.23 tff(8294,plain,
% 49.61/32.23 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s1, c_idle) | (~node8(s1)) | (~m_processor_v_cmd(c_p0, s1, c_idle)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~m_processor_v_cmd(c_p0, s1, c_idle)) | m_main_v_CMD(s1, c_idle) | (~node8(s1))))),
% 49.61/32.23 inference(monotonicity,[status(thm)],[8293])).
% 49.61/32.23 tff(8295,plain,
% 49.61/32.23 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s1, c_idle) | (~node8(s1)) | (~m_processor_v_cmd(c_p0, s1, c_idle)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | m_main_v_CMD(s1, c_idle) | (~node8(s1)))),
% 49.61/32.23 inference(transitivity,[status(thm)],[8294, 8292])).
% 49.61/32.23 tff(8296,plain,
% 49.61/32.23 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s1, c_idle) | (~node8(s1)) | (~m_processor_v_cmd(c_p0, s1, c_idle)))),
% 49.61/32.23 inference(quant_inst,[status(thm)],[])).
% 49.61/32.23 tff(8297,plain,
% 49.61/32.23 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | m_main_v_CMD(s1, c_idle) | (~node8(s1))),
% 49.61/32.23 inference(modus_ponens,[status(thm)],[8296, 8295])).
% 49.61/32.23 tff(8298,plain,
% 49.61/32.23 (m_main_v_CMD(s1, c_idle) | (~node8(s1))),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[8297, 1669, 3375])).
% 49.61/32.23 tff(8299,plain,
% 49.61/32.23 (~node8(s1)),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[8298, 8282])).
% 49.61/32.23 tff(8300,plain,
% 49.61/32.23 ((~m_processor_v_cmd(c_p2, s1, c_idle)) | node8(s1) | (~m_memory_v_cmd(c_m, s1, c_idle))),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[4853, 1593, 3182])).
% 49.61/32.23 tff(8301,plain,
% 49.61/32.23 (~m_memory_v_cmd(c_m, s1, c_idle)),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[8300, 8299, 8291])).
% 49.61/32.23 tff(8302,plain,
% 49.61/32.23 (((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | ((~node9(s1)) | m_memory_v_cmd(c_m, s1, c_idle))) <=> ((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | (~node9(s1)) | m_memory_v_cmd(c_m, s1, c_idle))),
% 49.61/32.23 inference(rewrite,[status(thm)],[])).
% 49.61/32.23 tff(8303,plain,
% 49.61/32.23 ((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | ((~node9(s1)) | m_memory_v_cmd(c_m, s1, c_idle))),
% 49.61/32.23 inference(quant_inst,[status(thm)],[])).
% 49.61/32.23 tff(8304,plain,
% 49.61/32.23 ((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | (~node9(s1)) | m_memory_v_cmd(c_m, s1, c_idle)),
% 49.61/32.23 inference(modus_ponens,[status(thm)],[8303, 8302])).
% 49.61/32.23 tff(8305,plain,
% 49.61/32.23 (~node9(s1)),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[8304, 2000, 8301])).
% 49.61/32.23 tff(8306,plain,
% 49.61/32.23 (((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | (m_memory_v_cmd(c_m, s1, c_idle) | (~node13(s1)))) <=> ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | m_memory_v_cmd(c_m, s1, c_idle) | (~node13(s1)))),
% 49.61/32.23 inference(rewrite,[status(thm)],[])).
% 49.61/32.23 tff(8307,plain,
% 49.61/32.23 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | (m_memory_v_cmd(c_m, s1, c_idle) | (~node13(s1)))),
% 49.61/32.23 inference(quant_inst,[status(thm)],[])).
% 49.61/32.23 tff(8308,plain,
% 49.61/32.23 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | m_memory_v_cmd(c_m, s1, c_idle) | (~node13(s1))),
% 49.61/32.23 inference(modus_ponens,[status(thm)],[8307, 8306])).
% 49.61/32.23 tff(8309,plain,
% 49.61/32.23 (~node13(s1)),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[8308, 1986, 8301])).
% 49.61/32.23 tff(8310,plain,
% 49.61/32.23 (((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | (m_memory_v_cmd(c_m, s1, c_idle) | (~node11(s1)))) <=> ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | m_memory_v_cmd(c_m, s1, c_idle) | (~node11(s1)))),
% 49.61/32.23 inference(rewrite,[status(thm)],[])).
% 49.61/32.23 tff(8311,plain,
% 49.61/32.23 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | (m_memory_v_cmd(c_m, s1, c_idle) | (~node11(s1)))),
% 49.61/32.23 inference(quant_inst,[status(thm)],[])).
% 49.61/32.23 tff(8312,plain,
% 49.61/32.23 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | m_memory_v_cmd(c_m, s1, c_idle) | (~node11(s1))),
% 49.61/32.23 inference(modus_ponens,[status(thm)],[8311, 8310])).
% 49.61/32.23 tff(8313,plain,
% 49.61/32.23 (~node11(s1)),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[8312, 2031, 8301])).
% 49.61/32.23 tff(8314,plain,
% 49.61/32.23 (node29(c_m, s1)),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[3373, 8301])).
% 49.61/32.23 tff(8315,plain,
% 49.61/32.23 (((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | ((~node29(c_m, s1)) | m_memory_v_busy(c_m, s1))) <=> ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (~node29(c_m, s1)) | m_memory_v_busy(c_m, s1))),
% 49.61/32.23 inference(rewrite,[status(thm)],[])).
% 49.61/32.23 tff(8316,plain,
% 49.61/32.23 ((m_memory_v_busy(c_m, s1) | (~node29(c_m, s1))) <=> ((~node29(c_m, s1)) | m_memory_v_busy(c_m, s1))),
% 49.61/32.23 inference(rewrite,[status(thm)],[])).
% 49.61/32.23 tff(8317,plain,
% 49.61/32.23 (((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s1) | (~node29(c_m, s1)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | ((~node29(c_m, s1)) | m_memory_v_busy(c_m, s1)))),
% 49.61/32.23 inference(monotonicity,[status(thm)],[8316])).
% 49.61/32.23 tff(8318,plain,
% 49.61/32.23 (((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s1) | (~node29(c_m, s1)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (~node29(c_m, s1)) | m_memory_v_busy(c_m, s1))),
% 49.61/32.23 inference(transitivity,[status(thm)],[8317, 8315])).
% 49.61/32.23 tff(8319,plain,
% 49.61/32.23 ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s1) | (~node29(c_m, s1)))),
% 49.61/32.23 inference(quant_inst,[status(thm)],[])).
% 49.61/32.23 tff(8320,plain,
% 49.61/32.23 ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (~node29(c_m, s1)) | m_memory_v_busy(c_m, s1)),
% 49.61/32.23 inference(modus_ponens,[status(thm)],[8319, 8318])).
% 49.61/32.23 tff(8321,plain,
% 49.61/32.23 ($false),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[8320, 2072, 3360, 3978])).
% 49.61/32.23 tff(8322,plain,(m_memory_v_busy(c_m, s1) | (~node29(c_m, s1))), inference(lemma,lemma(discharge,[]))).
% 49.61/32.23 tff(8323,plain,
% 49.61/32.23 (m_memory_v_busy(c_m, s1)),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[8322, 8314])).
% 49.61/32.23 tff(8324,plain,
% 49.61/32.23 (m_memory_v_master(c_m, s1)),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[3365, 8314])).
% 49.61/32.23 tff(8325,plain,
% 49.61/32.23 (((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s1, c_idle) | (~m_memory_v_master(c_m, s1)) | m_memory_v_cmd(c_m, s1, c_response) | (~m_memory_v_busy(c_m, s1)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | m_memory_v_cmd(c_m, s1, c_idle) | (~m_memory_v_master(c_m, s1)) | m_memory_v_cmd(c_m, s1, c_response) | (~m_memory_v_busy(c_m, s1)))),
% 49.61/32.23 inference(rewrite,[status(thm)],[])).
% 49.61/32.23 tff(8326,plain,
% 49.61/32.23 ((m_memory_v_cmd(c_m, s1, c_response) | m_memory_v_cmd(c_m, s1, c_idle) | (~m_memory_v_busy(c_m, s1)) | (~m_memory_v_master(c_m, s1))) <=> (m_memory_v_cmd(c_m, s1, c_idle) | (~m_memory_v_master(c_m, s1)) | m_memory_v_cmd(c_m, s1, c_response) | (~m_memory_v_busy(c_m, s1)))),
% 49.61/32.23 inference(rewrite,[status(thm)],[])).
% 49.61/32.23 tff(8327,plain,
% 49.61/32.23 (((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s1, c_response) | m_memory_v_cmd(c_m, s1, c_idle) | (~m_memory_v_busy(c_m, s1)) | (~m_memory_v_master(c_m, s1)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s1, c_idle) | (~m_memory_v_master(c_m, s1)) | m_memory_v_cmd(c_m, s1, c_response) | (~m_memory_v_busy(c_m, s1))))),
% 49.61/32.23 inference(monotonicity,[status(thm)],[8326])).
% 49.61/32.23 tff(8328,plain,
% 49.61/32.23 (((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s1, c_response) | m_memory_v_cmd(c_m, s1, c_idle) | (~m_memory_v_busy(c_m, s1)) | (~m_memory_v_master(c_m, s1)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | m_memory_v_cmd(c_m, s1, c_idle) | (~m_memory_v_master(c_m, s1)) | m_memory_v_cmd(c_m, s1, c_response) | (~m_memory_v_busy(c_m, s1)))),
% 49.61/32.23 inference(transitivity,[status(thm)],[8327, 8325])).
% 49.61/32.23 tff(8329,plain,
% 49.61/32.23 ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s1, c_response) | m_memory_v_cmd(c_m, s1, c_idle) | (~m_memory_v_busy(c_m, s1)) | (~m_memory_v_master(c_m, s1)))),
% 49.61/32.23 inference(quant_inst,[status(thm)],[])).
% 49.61/32.23 tff(8330,plain,
% 49.61/32.23 ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | m_memory_v_cmd(c_m, s1, c_idle) | (~m_memory_v_master(c_m, s1)) | m_memory_v_cmd(c_m, s1, c_response) | (~m_memory_v_busy(c_m, s1))),
% 49.61/32.23 inference(modus_ponens,[status(thm)],[8329, 8328])).
% 49.61/32.23 tff(8331,plain,
% 49.61/32.23 (m_memory_v_cmd(c_m, s1, c_response)),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[8330, 2089, 8324, 8323, 8301])).
% 49.61/32.23 tff(8332,assumption,(~m_main_v_CMD(s1, c_response)), introduced(assumption)).
% 49.61/32.23 tff(8333,plain,
% 49.61/32.23 (^[V: $i, X: $i] : refl((m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V))) <=> (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V))))),
% 49.61/32.23 inference(bind,[status(th)],[])).
% 49.61/32.23 tff(8334,plain,
% 49.61/32.23 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))),
% 49.61/32.23 inference(quant_intro,[status(thm)],[8333])).
% 49.61/32.23 tff(8335,plain,
% 49.61/32.23 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))),
% 49.61/32.23 inference(rewrite,[status(thm)],[])).
% 49.61/32.23 tff(8336,plain,
% 49.61/32.23 (^[V: $i, X: $i] : trans(monotonicity(rewrite((m_main_v_CMD(X, V) | (~m_memory_v_cmd(c_m, X, V))) <=> (m_main_v_CMD(X, V) | (~m_memory_v_cmd(c_m, X, V)))), (((m_main_v_CMD(X, V) | (~m_memory_v_cmd(c_m, X, V))) | (~node14(X))) <=> ((m_main_v_CMD(X, V) | (~m_memory_v_cmd(c_m, X, V))) | (~node14(X))))), rewrite(((m_main_v_CMD(X, V) | (~m_memory_v_cmd(c_m, X, V))) | (~node14(X))) <=> (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))), (((m_main_v_CMD(X, V) | (~m_memory_v_cmd(c_m, X, V))) | (~node14(X))) <=> (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))))),
% 49.61/32.23 inference(bind,[status(th)],[])).
% 49.61/32.23 tff(8337,plain,
% 49.61/32.23 (![V: $i, X: $i] : ((m_main_v_CMD(X, V) | (~m_memory_v_cmd(c_m, X, V))) | (~node14(X))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))),
% 49.61/32.23 inference(quant_intro,[status(thm)],[8336])).
% 49.61/32.23 tff(8338,axiom,(![V: $i, X: $i] : ((m_main_v_CMD(X, V) | (~m_memory_v_cmd(c_m, X, V))) | (~node14(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_105')).
% 49.61/32.23 tff(8339,plain,
% 49.61/32.23 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))),
% 49.61/32.23 inference(modus_ponens,[status(thm)],[8338, 8337])).
% 49.61/32.23 tff(8340,plain,
% 49.61/32.23 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))),
% 49.61/32.23 inference(modus_ponens,[status(thm)],[8339, 8335])).
% 49.61/32.23 tff(8341,plain,(
% 49.61/32.23 ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))),
% 49.61/32.23 inference(skolemize,[status(sab)],[8340])).
% 49.61/32.23 tff(8342,plain,
% 49.61/32.23 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))),
% 49.61/32.23 inference(modus_ponens,[status(thm)],[8341, 8334])).
% 49.61/32.23 tff(8343,plain,
% 49.61/32.23 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s1, c_response) | (~m_memory_v_cmd(c_m, s1, c_response)) | (~node14(s1)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | m_main_v_CMD(s1, c_response) | (~m_memory_v_cmd(c_m, s1, c_response)) | (~node14(s1)))),
% 49.61/32.23 inference(rewrite,[status(thm)],[])).
% 49.61/32.23 tff(8344,plain,
% 49.61/32.23 ((m_main_v_CMD(s1, c_response) | (~node14(s1)) | (~m_memory_v_cmd(c_m, s1, c_response))) <=> (m_main_v_CMD(s1, c_response) | (~m_memory_v_cmd(c_m, s1, c_response)) | (~node14(s1)))),
% 49.61/32.23 inference(rewrite,[status(thm)],[])).
% 49.61/32.23 tff(8345,plain,
% 49.61/32.23 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s1, c_response) | (~node14(s1)) | (~m_memory_v_cmd(c_m, s1, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s1, c_response) | (~m_memory_v_cmd(c_m, s1, c_response)) | (~node14(s1))))),
% 49.61/32.23 inference(monotonicity,[status(thm)],[8344])).
% 49.61/32.23 tff(8346,plain,
% 49.61/32.23 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s1, c_response) | (~node14(s1)) | (~m_memory_v_cmd(c_m, s1, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | m_main_v_CMD(s1, c_response) | (~m_memory_v_cmd(c_m, s1, c_response)) | (~node14(s1)))),
% 49.61/32.23 inference(transitivity,[status(thm)],[8345, 8343])).
% 49.61/32.23 tff(8347,plain,
% 49.61/32.23 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s1, c_response) | (~node14(s1)) | (~m_memory_v_cmd(c_m, s1, c_response)))),
% 49.61/32.23 inference(quant_inst,[status(thm)],[])).
% 49.61/32.23 tff(8348,plain,
% 49.61/32.23 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | m_main_v_CMD(s1, c_response) | (~m_memory_v_cmd(c_m, s1, c_response)) | (~node14(s1))),
% 49.61/32.23 inference(modus_ponens,[status(thm)],[8347, 8346])).
% 49.61/32.23 tff(8349,plain,
% 49.61/32.23 ((~m_memory_v_cmd(c_m, s1, c_response)) | (~node14(s1))),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[8348, 8342, 8332])).
% 49.61/32.23 tff(8350,plain,
% 49.61/32.23 (~node14(s1)),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[8349, 8331])).
% 49.61/32.23 tff(8351,plain,
% 49.61/32.23 (((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s1) | node11(s1) | node13(s1) | node14(s1) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s1) | node11(s1) | node13(s1) | node14(s1) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)))),
% 49.61/32.23 inference(rewrite,[status(thm)],[])).
% 49.61/32.23 tff(8352,plain,
% 49.61/32.23 ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s1) | node11(s1) | node13(s1) | node14(s1) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)))),
% 49.61/32.23 inference(quant_inst,[status(thm)],[])).
% 49.61/32.23 tff(8353,plain,
% 49.61/32.23 ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s1) | node11(s1) | node13(s1) | node14(s1) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle))),
% 49.61/32.23 inference(modus_ponens,[status(thm)],[8352, 8351])).
% 49.61/32.23 tff(8354,plain,
% 49.61/32.23 (node9(s1) | node11(s1) | node13(s1) | node14(s1) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle))),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[8353, 2014, 3182])).
% 49.61/32.23 tff(8355,plain,
% 49.61/32.23 ($false),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[8354, 8350, 8313, 3375, 8291, 8309, 8305])).
% 49.61/32.23 tff(8356,plain,(m_main_v_CMD(s1, c_idle) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | m_main_v_CMD(s1, c_response)), inference(lemma,lemma(discharge,[]))).
% 49.61/32.23 tff(8357,plain,
% 49.61/32.23 ($false),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[8356, 8281, 8270, 3375, 3182])).
% 49.61/32.23 tff(8358,plain,((~m_main_v_CMD(s1, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p1, s1, c_idle))), inference(lemma,lemma(discharge,[]))).
% 49.61/32.23 tff(8359,plain,
% 49.61/32.23 (~m_main_v_CMD(s1, c_read_h_shared)),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[8358, 8259, 3375])).
% 49.61/32.23 tff(8360,plain,
% 49.61/32.23 (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)),
% 49.61/32.23 inference(unit_resolution,[status(thm)],[8190, 1260, 3245, 8359])).
% 49.61/32.23 tff(8361,plain,
% 49.61/32.23 (^[I0: $i, X: $i] : refl((m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X))))),
% 49.61/32.24 inference(bind,[status(th)],[])).
% 49.61/32.24 tff(8362,plain,
% 49.61/32.24 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))),
% 49.61/32.24 inference(quant_intro,[status(thm)],[8361])).
% 49.61/32.24 tff(8363,plain,
% 49.61/32.24 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))),
% 49.61/32.24 inference(rewrite,[status(thm)],[])).
% 49.61/32.24 tff(8364,axiom,(![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_77')).
% 49.61/32.24 tff(8365,plain,
% 49.61/32.24 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))),
% 49.61/32.24 inference(modus_ponens,[status(thm)],[8364, 8363])).
% 49.61/32.24 tff(8366,plain,(
% 49.61/32.24 ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))),
% 49.61/32.24 inference(skolemize,[status(sab)],[8365])).
% 49.61/32.24 tff(8367,plain,
% 49.61/32.24 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))),
% 49.61/32.24 inference(modus_ponens,[status(thm)],[8366, 8362])).
% 49.61/32.24 tff(8368,plain,
% 49.61/32.24 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | (m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~node40(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~node40(c_p1, s1)))),
% 49.61/32.24 inference(rewrite,[status(thm)],[])).
% 49.61/32.24 tff(8369,plain,
% 49.61/32.24 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | (m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~node40(c_p1, s1)))),
% 49.61/32.24 inference(quant_inst,[status(thm)],[])).
% 49.61/32.24 tff(8370,plain,
% 49.61/32.24 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~node40(c_p1, s1))),
% 49.61/32.24 inference(modus_ponens,[status(thm)],[8369, 8368])).
% 49.61/32.24 tff(8371,plain,
% 49.61/32.24 (~node40(c_p1, s1)),
% 49.61/32.24 inference(unit_resolution,[status(thm)],[8370, 8367, 8360])).
% 49.61/32.24 tff(8372,plain,
% 49.61/32.24 (^[I0: $i, X: $i] : refl((m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X))) <=> (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X))))),
% 49.61/32.24 inference(bind,[status(th)],[])).
% 49.61/32.24 tff(8373,plain,
% 49.61/32.24 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))),
% 49.61/32.24 inference(quant_intro,[status(thm)],[8372])).
% 49.61/32.24 tff(8374,plain,
% 49.61/32.24 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))),
% 49.61/32.24 inference(rewrite,[status(thm)],[])).
% 49.61/32.24 tff(8375,axiom,(![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_80')).
% 49.61/32.24 tff(8376,plain,
% 49.61/32.24 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))),
% 49.61/32.24 inference(modus_ponens,[status(thm)],[8375, 8374])).
% 49.61/32.24 tff(8377,plain,(
% 49.61/32.24 ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))),
% 49.61/32.24 inference(skolemize,[status(sab)],[8376])).
% 49.61/32.24 tff(8378,plain,
% 49.61/32.24 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))),
% 49.61/32.24 inference(modus_ponens,[status(thm)],[8377, 8373])).
% 49.61/32.24 tff(8379,plain,
% 49.61/32.24 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | (m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~node41(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~node41(c_p1, s1)))),
% 49.61/32.24 inference(rewrite,[status(thm)],[])).
% 49.61/32.24 tff(8380,plain,
% 49.61/32.24 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | (m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~node41(c_p1, s1)))),
% 49.61/32.24 inference(quant_inst,[status(thm)],[])).
% 49.61/32.24 tff(8381,plain,
% 49.61/32.24 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | m_processor_v_CMD(c_p1, s1, c_read_h_shared) | (~node41(c_p1, s1))),
% 49.61/32.24 inference(modus_ponens,[status(thm)],[8380, 8379])).
% 49.61/32.24 tff(8382,plain,
% 49.61/32.24 (~node41(c_p1, s1)),
% 49.61/32.24 inference(unit_resolution,[status(thm)],[8381, 8378, 8360])).
% 49.61/32.24 tff(8383,plain,
% 49.61/32.24 ($false),
% 49.61/32.24 inference(unit_resolution,[status(thm)],[8110, 8382, 8371, 8152, 3773, 8174, 8163])).
% 49.61/32.24 tff(8384,plain,(m_processor_v_master(c_p1, s1) | node44(c_p1, s1, s2) | m_processor_v_abort(c_p1, s1) | (~m_processor_v_cmd(c_p0, s1, c_idle))), inference(lemma,lemma(discharge,[]))).
% 49.61/32.24 tff(8385,plain,
% 49.61/32.24 (~m_processor_v_cmd(c_p0, s1, c_idle)),
% 49.61/32.24 inference(unit_resolution,[status(thm)],[8384, 8142, 8045, 8258])).
% 49.61/32.24 tff(8386,plain,
% 49.61/32.24 (m_processor_v_master(c_p0, s1)),
% 49.61/32.24 inference(unit_resolution,[status(thm)],[3298, 8385])).
% 49.61/32.24 tff(8387,plain,
% 49.61/32.24 (m_processor_v_state(c_p0, s2, c_shared)),
% 49.61/32.24 inference(unit_resolution,[status(thm)],[5027, 8255, 8386, 8220, 8217])).
% 49.61/32.24 tff(8388,plain,
% 49.61/32.24 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p0, s2, c_invalid)) | (~m_processor_v_state(c_p0, s2, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p0, s2, c_invalid)) | (~m_processor_v_state(c_p0, s2, c_shared)))),
% 49.61/32.24 inference(rewrite,[status(thm)],[])).
% 49.61/32.24 tff(8389,plain,
% 49.61/32.24 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p0, s2, c_invalid)) | (~m_processor_v_state(c_p0, s2, c_shared)))),
% 49.61/32.24 inference(quant_inst,[status(thm)],[])).
% 49.61/32.24 tff(8390,plain,
% 49.61/32.24 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p0, s2, c_invalid)) | (~m_processor_v_state(c_p0, s2, c_shared))),
% 49.61/32.24 inference(modus_ponens,[status(thm)],[8389, 8388])).
% 49.61/32.24 tff(8391,plain,
% 49.61/32.24 ($false),
% 49.61/32.24 inference(unit_resolution,[status(thm)],[8390, 977, 2721, 5494])).
% 49.61/32.24 tff(8392,plain,((~m_processor_v_state(c_p0, s2, c_shared)) | (~m_processor_v_state(c_p0, s2, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 49.61/32.24 tff(8393,plain,
% 49.61/32.24 ($false),
% 49.61/32.24 inference(unit_resolution,[status(thm)],[8392, 8387, 8256])).
% 49.61/32.24 tff(8394,plain,(m_processor_v_snoop(c_p1, s2, c_invalid) | m_processor_v_state(c_p1, s2, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.61/32.24 tff(8395,plain,
% 49.61/32.24 (m_processor_v_state(c_p1, s2, c_owned)),
% 49.61/32.24 inference(unit_resolution,[status(thm)],[8394, 7456])).
% 49.61/32.24 tff(8396,plain,
% 49.61/32.24 (~m_processor_v_cmd(c_p0, s1, c_idle)),
% 49.61/32.24 inference(unit_resolution,[status(thm)],[8384, 8045, 3111, 8258])).
% 49.61/32.24 tff(8397,plain,
% 49.61/32.24 (~node62(c_p0, s0)),
% 49.61/32.24 inference(unit_resolution,[status(thm)],[4129, 1493, 4829])).
% 49.61/32.24 tff(8398,plain,
% 49.61/32.24 (m_processor_v_cmd(c_p0, s0, c_idle)),
% 49.61/32.24 inference(unit_resolution,[status(thm)],[4166, 8397])).
% 49.61/32.24 tff(8399,plain,
% 49.61/32.24 (~m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_shared)),
% 49.61/32.24 inference(unit_resolution,[status(thm)],[4288, 4285, 8398])).
% 49.61/32.24 tff(8400,plain,
% 49.61/32.24 (~m_processor_v_cmd(c_p0, s0, c_write_h_resp_h_invalid)),
% 49.61/32.24 inference(unit_resolution,[status(thm)],[4299, 4296, 8398])).
% 49.61/32.24 tff(8401,plain,
% 49.61/32.24 (~m_processor_v_cmd(c_p0, s0, c_write_h_shared)),
% 49.61/32.24 inference(unit_resolution,[status(thm)],[4310, 4307, 8398])).
% 49.61/32.24 tff(8402,plain,
% 49.61/32.24 (~m_processor_v_cmd(c_p0, s0, c_write_h_invalid)),
% 49.61/32.24 inference(unit_resolution,[status(thm)],[4314, 3630, 8398])).
% 49.61/32.24 tff(8403,plain,
% 49.61/32.24 (~m_processor_v_cmd(c_p0, s0, c_read_h_shared)),
% 49.61/32.24 inference(unit_resolution,[status(thm)],[4318, 3200, 8398])).
% 49.61/32.24 tff(8404,assumption,(~m_processor_v_waiting(c_p1, s1)), introduced(assumption)).
% 49.61/32.24 tff(8405,plain,
% 49.61/32.24 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s0, s1)) | node53(c_p1, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s0, s1)) | node53(c_p1, s0, s1))),
% 49.61/32.24 inference(rewrite,[status(thm)],[])).
% 49.61/32.24 tff(8406,plain,
% 49.61/32.24 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s0, s1)) | node53(c_p1, s0, s1))),
% 49.61/32.24 inference(quant_inst,[status(thm)],[])).
% 49.61/32.24 tff(8407,plain,
% 49.61/32.24 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s0, s1)) | node53(c_p1, s0, s1)),
% 49.61/32.24 inference(modus_ponens,[status(thm)],[8406, 8405])).
% 49.61/32.24 tff(8408,plain,
% 49.61/32.24 (node53(c_p1, s0, s1)),
% 49.61/32.24 inference(unit_resolution,[status(thm)],[8407, 575, 2811])).
% 49.61/32.24 tff(8409,plain,
% 49.61/32.24 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s0)) | m_processor_v_waiting(c_p1, s1) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | m_processor_v_abort(c_p1, s0) | (~node53(c_p1, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s0)) | m_processor_v_waiting(c_p1, s1) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | m_processor_v_abort(c_p1, s0) | (~node53(c_p1, s0, s1)))),
% 49.61/32.24 inference(rewrite,[status(thm)],[])).
% 49.61/32.24 tff(8410,plain,
% 49.61/32.24 ((m_processor_v_waiting(c_p1, s1) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~m_processor_v_master(c_p1, s0)) | m_processor_v_abort(c_p1, s0) | (~node53(c_p1, s0, s1))) <=> ((~m_processor_v_master(c_p1, s0)) | m_processor_v_waiting(c_p1, s1) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | m_processor_v_abort(c_p1, s0) | (~node53(c_p1, s0, s1)))),
% 49.61/32.24 inference(rewrite,[status(thm)],[])).
% 49.61/32.24 tff(8411,plain,
% 49.61/32.24 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s1) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~m_processor_v_master(c_p1, s0)) | m_processor_v_abort(c_p1, s0) | (~node53(c_p1, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s0)) | m_processor_v_waiting(c_p1, s1) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | m_processor_v_abort(c_p1, s0) | (~node53(c_p1, s0, s1))))),
% 49.61/32.24 inference(monotonicity,[status(thm)],[8410])).
% 49.61/32.24 tff(8412,plain,
% 49.61/32.24 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s1) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~m_processor_v_master(c_p1, s0)) | m_processor_v_abort(c_p1, s0) | (~node53(c_p1, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s0)) | m_processor_v_waiting(c_p1, s1) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | m_processor_v_abort(c_p1, s0) | (~node53(c_p1, s0, s1)))),
% 49.61/32.24 inference(transitivity,[status(thm)],[8411, 8409])).
% 49.61/32.24 tff(8413,plain,
% 49.61/32.24 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s1) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~m_processor_v_master(c_p1, s0)) | m_processor_v_abort(c_p1, s0) | (~node53(c_p1, s0, s1)))),
% 49.61/32.24 inference(quant_inst,[status(thm)],[])).
% 49.61/32.24 tff(8414,plain,
% 49.61/32.24 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s0)) | m_processor_v_waiting(c_p1, s1) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | m_processor_v_abort(c_p1, s0) | (~node53(c_p1, s0, s1))),
% 49.61/32.24 inference(modus_ponens,[status(thm)],[8413, 8412])).
% 49.61/32.24 tff(8415,plain,
% 49.61/32.24 ((~m_processor_v_master(c_p1, s0)) | m_processor_v_waiting(c_p1, s1) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | m_processor_v_abort(c_p1, s0)),
% 49.61/32.24 inference(unit_resolution,[status(thm)],[8414, 589, 8408])).
% 49.61/32.24 tff(8416,plain,
% 49.61/32.24 (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)),
% 49.61/32.24 inference(unit_resolution,[status(thm)],[8415, 8404, 3965, 3084])).
% 49.61/32.24 tff(8417,plain,
% 49.61/32.24 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | ((~node47(c_p1, s0)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (~node47(c_p1, s0)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared))),
% 49.61/32.24 inference(rewrite,[status(thm)],[])).
% 49.61/32.24 tff(8418,plain,
% 49.61/32.24 ((m_processor_v_CMD(c_p1, s0, c_read_h_shared) | (~node47(c_p1, s0))) <=> ((~node47(c_p1, s0)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared))),
% 49.61/32.24 inference(rewrite,[status(thm)],[])).
% 49.61/32.24 tff(8419,plain,
% 49.61/32.24 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p1, s0, c_read_h_shared) | (~node47(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | ((~node47(c_p1, s0)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared)))),
% 49.61/32.24 inference(monotonicity,[status(thm)],[8418])).
% 49.61/32.24 tff(8420,plain,
% 49.61/32.24 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p1, s0, c_read_h_shared) | (~node47(c_p1, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (~node47(c_p1, s0)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared))),
% 49.61/32.24 inference(transitivity,[status(thm)],[8419, 8417])).
% 49.61/32.24 tff(8421,plain,
% 49.61/32.24 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p1, s0, c_read_h_shared) | (~node47(c_p1, s0)))),
% 49.61/32.24 inference(quant_inst,[status(thm)],[])).
% 49.61/32.24 tff(8422,plain,
% 49.61/32.24 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (~node47(c_p1, s0)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared)),
% 49.61/32.24 inference(modus_ponens,[status(thm)],[8421, 8420])).
% 49.61/32.24 tff(8423,plain,
% 49.61/32.24 (~node47(c_p1, s0)),
% 49.61/32.24 inference(unit_resolution,[status(thm)],[8422, 657, 8416])).
% 49.61/32.24 tff(8424,plain,
% 49.61/32.24 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s0)) | m_processor_v_waiting(c_p1, s1) | node47(c_p1, s0) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)) | m_processor_v_abort(c_p1, s0) | (~node53(c_p1, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s0)) | m_processor_v_waiting(c_p1, s1) | node47(c_p1, s0) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)) | m_processor_v_abort(c_p1, s0) | (~node53(c_p1, s0, s1)))),
% 49.61/32.24 inference(rewrite,[status(thm)],[])).
% 49.61/32.24 tff(8425,plain,
% 49.61/32.24 ((m_processor_v_waiting(c_p1, s1) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)) | (~m_processor_v_master(c_p1, s0)) | m_processor_v_abort(c_p1, s0) | node47(c_p1, s0) | (~node53(c_p1, s0, s1))) <=> ((~m_processor_v_master(c_p1, s0)) | m_processor_v_waiting(c_p1, s1) | node47(c_p1, s0) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)) | m_processor_v_abort(c_p1, s0) | (~node53(c_p1, s0, s1)))),
% 49.61/32.24 inference(rewrite,[status(thm)],[])).
% 49.61/32.24 tff(8426,plain,
% 49.61/32.24 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s1) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)) | (~m_processor_v_master(c_p1, s0)) | m_processor_v_abort(c_p1, s0) | node47(c_p1, s0) | (~node53(c_p1, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s0)) | m_processor_v_waiting(c_p1, s1) | node47(c_p1, s0) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)) | m_processor_v_abort(c_p1, s0) | (~node53(c_p1, s0, s1))))),
% 49.61/32.24 inference(monotonicity,[status(thm)],[8425])).
% 49.61/32.24 tff(8427,plain,
% 49.61/32.24 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s1) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)) | (~m_processor_v_master(c_p1, s0)) | m_processor_v_abort(c_p1, s0) | node47(c_p1, s0) | (~node53(c_p1, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s0)) | m_processor_v_waiting(c_p1, s1) | node47(c_p1, s0) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)) | m_processor_v_abort(c_p1, s0) | (~node53(c_p1, s0, s1)))),
% 49.61/32.24 inference(transitivity,[status(thm)],[8426, 8424])).
% 49.61/32.24 tff(8428,plain,
% 49.61/32.24 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s1) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)) | (~m_processor_v_master(c_p1, s0)) | m_processor_v_abort(c_p1, s0) | node47(c_p1, s0) | (~node53(c_p1, s0, s1)))),
% 49.61/32.24 inference(quant_inst,[status(thm)],[])).
% 49.61/32.24 tff(8429,plain,
% 49.61/32.24 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s0)) | m_processor_v_waiting(c_p1, s1) | node47(c_p1, s0) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)) | m_processor_v_abort(c_p1, s0) | (~node53(c_p1, s0, s1))),
% 49.61/32.24 inference(modus_ponens,[status(thm)],[8428, 8427])).
% 49.61/32.24 tff(8430,plain,
% 49.61/32.24 ((~m_processor_v_master(c_p1, s0)) | m_processor_v_waiting(c_p1, s1) | node47(c_p1, s0) | (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)) | m_processor_v_abort(c_p1, s0)),
% 49.61/32.24 inference(unit_resolution,[status(thm)],[8429, 640, 8408])).
% 49.61/32.24 tff(8431,plain,
% 49.61/32.24 (~m_processor_v_CMD(c_p1, s0, c_read_h_owned)),
% 49.61/32.24 inference(unit_resolution,[status(thm)],[8430, 8423, 3965, 3084, 8404])).
% 49.61/32.24 tff(8432,plain,
% 49.61/32.24 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~node34(c_p1, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~node34(c_p1, s0, s1)))),
% 49.61/32.24 inference(rewrite,[status(thm)],[])).
% 49.61/32.24 tff(8433,plain,
% 49.61/32.24 (((~node34(c_p1, s0, s1)) | m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared))) <=> (m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~node34(c_p1, s0, s1)))),
% 49.61/32.24 inference(rewrite,[status(thm)],[])).
% 49.61/32.24 tff(8434,plain,
% 49.61/32.24 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~node34(c_p1, s0, s1))))),
% 49.61/32.24 inference(monotonicity,[status(thm)],[8433])).
% 49.61/32.24 tff(8435,plain,
% 49.61/32.24 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~node34(c_p1, s0, s1)))),
% 49.61/32.24 inference(transitivity,[status(thm)],[8434, 8432])).
% 49.61/32.24 tff(8436,plain,
% 49.61/32.24 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)))),
% 49.61/32.24 inference(quant_inst,[status(thm)],[])).
% 49.61/32.24 tff(8437,plain,
% 49.61/32.24 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p1, s1, c_shared) | (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | (~node34(c_p1, s0, s1))),
% 49.61/32.24 inference(modus_ponens,[status(thm)],[8436, 8435])).
% 49.61/32.24 tff(8438,plain,
% 49.61/32.24 ($false),
% 49.61/32.24 inference(unit_resolution,[status(thm)],[8437, 416, 3789, 4215, 4757])).
% 49.61/32.24 tff(8439,plain,((~m_processor_v_CMD(c_p1, s0, c_read_h_shared)) | m_processor_v_state(c_p1, s1, c_shared) | (~node34(c_p1, s0, s1))), inference(lemma,lemma(discharge,[]))).
% 49.61/32.24 tff(8440,plain,
% 49.61/32.24 (~m_processor_v_CMD(c_p1, s0, c_read_h_shared)),
% 49.61/32.24 inference(unit_resolution,[status(thm)],[8439, 3789, 4032])).
% 49.61/32.24 tff(8441,plain,
% 49.61/32.24 (node34(c_p1, s0, s1)),
% 49.61/32.24 inference(unit_resolution,[status(thm)],[4029, 3965, 3084])).
% 49.61/32.24 tff(8442,plain,
% 49.61/32.24 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node34(c_p1, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node34(c_p1, s0, s1)))),
% 49.61/32.24 inference(rewrite,[status(thm)],[])).
% 49.61/32.24 tff(8443,plain,
% 49.61/32.24 (((~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_state(c_p1, s1, c_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid))) <=> (m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node34(c_p1, s0, s1)))),
% 49.61/32.24 inference(rewrite,[status(thm)],[])).
% 49.61/32.24 tff(8444,plain,
% 49.61/32.24 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_state(c_p1, s1, c_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node34(c_p1, s0, s1))))),
% 49.61/32.24 inference(monotonicity,[status(thm)],[8443])).
% 49.61/32.24 tff(8445,plain,
% 49.61/32.24 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_state(c_p1, s1, c_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node34(c_p1, s0, s1)))),
% 49.61/32.24 inference(transitivity,[status(thm)],[8444, 8442])).
% 49.61/32.24 tff(8446,plain,
% 49.61/32.24 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_state(c_p1, s1, c_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)))),
% 49.61/32.24 inference(quant_inst,[status(thm)],[])).
% 49.61/32.24 tff(8447,plain,
% 49.61/32.24 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node34(c_p1, s0, s1))),
% 49.61/32.24 inference(modus_ponens,[status(thm)],[8446, 8445])).
% 49.61/32.24 tff(8448,plain,
% 49.61/32.24 ($false),
% 49.61/32.24 inference(unit_resolution,[status(thm)],[8447, 512, 3057, 8441, 4365, 4404, 4357])).
% 49.61/32.24 tff(8449,plain,((~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.61/32.24 tff(8450,plain,
% 49.61/32.24 (~m_processor_v_CMD(c_p1, s0, c_write_h_invalid)),
% 49.61/32.24 inference(unit_resolution,[status(thm)],[8449, 4404, 4365, 3057])).
% 49.61/32.24 tff(8451,plain,
% 49.61/32.24 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node34(c_p1, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node34(c_p1, s0, s1)))),
% 49.61/32.24 inference(rewrite,[status(thm)],[])).
% 49.61/32.24 tff(8452,plain,
% 49.61/32.24 (((~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid))) <=> (m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node34(c_p1, s0, s1)))),
% 49.61/32.25 inference(rewrite,[status(thm)],[])).
% 49.61/32.25 tff(8453,plain,
% 49.61/32.25 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node34(c_p1, s0, s1))))),
% 49.61/32.25 inference(monotonicity,[status(thm)],[8452])).
% 49.61/32.25 tff(8454,plain,
% 49.61/32.25 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node34(c_p1, s0, s1)))),
% 49.61/32.25 inference(transitivity,[status(thm)],[8453, 8451])).
% 49.61/32.25 tff(8455,plain,
% 49.61/32.25 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)))),
% 49.61/32.25 inference(quant_inst,[status(thm)],[])).
% 49.61/32.25 tff(8456,plain,
% 49.61/32.25 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node34(c_p1, s0, s1))),
% 49.61/32.25 inference(modus_ponens,[status(thm)],[8455, 8454])).
% 49.61/32.25 tff(8457,plain,
% 49.61/32.25 ($false),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[8456, 438, 3057, 8441, 4365, 4404, 4340, 4400])).
% 49.61/32.25 tff(8458,plain,((~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.61/32.25 tff(8459,plain,
% 49.61/32.25 (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[8458, 4400, 4365, 4404, 3057])).
% 49.61/32.25 tff(8460,plain,
% 49.61/32.25 (m_processor_v_CMD(c_p1, s0, c_write_h_shared)),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[4412, 4404, 4215, 4365, 4400, 4403, 4402, 4214])).
% 49.61/32.25 tff(8461,plain,
% 49.61/32.25 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared)) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node34(c_p1, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared)) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node34(c_p1, s0, s1)))),
% 49.61/32.25 inference(rewrite,[status(thm)],[])).
% 49.61/32.25 tff(8462,plain,
% 49.61/32.25 (((~node34(c_p1, s0, s1)) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared))) <=> (m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared)) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node34(c_p1, s0, s1)))),
% 49.61/32.25 inference(rewrite,[status(thm)],[])).
% 49.61/32.25 tff(8463,plain,
% 49.61/32.25 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared)) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node34(c_p1, s0, s1))))),
% 49.61/32.25 inference(monotonicity,[status(thm)],[8462])).
% 49.61/32.25 tff(8464,plain,
% 49.61/32.25 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared)) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node34(c_p1, s0, s1)))),
% 49.61/32.25 inference(transitivity,[status(thm)],[8463, 8461])).
% 49.61/32.25 tff(8465,plain,
% 49.61/32.25 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared)))),
% 49.61/32.25 inference(quant_inst,[status(thm)],[])).
% 49.61/32.25 tff(8466,plain,
% 49.61/32.25 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s0, c_write_h_shared)) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node34(c_p1, s0, s1))),
% 49.61/32.25 inference(modus_ponens,[status(thm)],[8465, 8464])).
% 49.61/32.25 tff(8467,plain,
% 49.61/32.25 ($false),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[8466, 456, 3789, 4215, 4365, 4404, 4403, 8460, 4400])).
% 49.61/32.25 tff(8468,plain,(m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_state(c_p1, s1, c_shared) | (~node34(c_p1, s0, s1)) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared) | node33(c_p1, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 49.61/32.25 tff(8469,plain,
% 49.61/32.25 (m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[8468, 8459, 8441, 4365, 4404, 4400, 3789, 4125])).
% 49.61/32.25 tff(8470,plain,
% 49.61/32.25 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node34(c_p1, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node34(c_p1, s0, s1)))),
% 49.61/32.25 inference(rewrite,[status(thm)],[])).
% 49.61/32.25 tff(8471,plain,
% 49.61/32.25 (((~node34(c_p1, s0, s1)) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared))) <=> (m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node34(c_p1, s0, s1)))),
% 49.61/32.25 inference(rewrite,[status(thm)],[])).
% 49.61/32.25 tff(8472,plain,
% 49.61/32.25 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node34(c_p1, s0, s1))))),
% 49.61/32.25 inference(monotonicity,[status(thm)],[8471])).
% 49.61/32.25 tff(8473,plain,
% 49.61/32.25 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node34(c_p1, s0, s1)))),
% 49.61/32.25 inference(transitivity,[status(thm)],[8472, 8470])).
% 49.61/32.25 tff(8474,plain,
% 49.61/32.25 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s0, s1)) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)))),
% 49.61/32.25 inference(quant_inst,[status(thm)],[])).
% 49.61/32.25 tff(8475,plain,
% 49.61/32.25 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)) | m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | (~node34(c_p1, s0, s1))),
% 49.61/32.25 inference(modus_ponens,[status(thm)],[8474, 8473])).
% 49.61/32.25 tff(8476,plain,
% 49.61/32.25 ($false),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[8475, 492, 3789, 8441, 4365, 4404, 8459, 8469, 4401, 4400])).
% 49.61/32.25 tff(8477,plain,(m_processor_v_CMD(c_p1, s0, c_write_h_invalid) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_write_h_shared) | m_processor_v_state(c_p1, s1, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.61/32.25 tff(8478,plain,
% 49.61/32.25 (m_processor_v_CMD(c_p1, s0, c_write_h_shared)),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[8477, 8450, 4365, 4404, 3789, 3057])).
% 49.61/32.25 tff(8479,plain,
% 49.61/32.25 (m_main_v_CMD(s0, c_write_h_shared)),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[4398, 8478])).
% 49.61/32.25 tff(8480,plain,
% 49.61/32.25 (~m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_invalid)),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[8458, 8450, 4365, 4404, 3057])).
% 49.61/32.25 tff(8481,plain,
% 49.61/32.25 (m_processor_v_CMD(c_p1, s0, c_write_h_resp_h_shared)),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[8468, 8480, 8441, 4365, 4404, 8450, 3789, 4125])).
% 49.61/32.25 tff(8482,plain,
% 49.61/32.25 (m_main_v_CMD(s0, c_write_h_resp_h_shared)),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[4381, 8481])).
% 49.61/32.25 tff(8483,plain,
% 49.61/32.25 (^[X: $i] : refl(((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))))),
% 49.61/32.25 inference(bind,[status(th)],[])).
% 49.61/32.25 tff(8484,plain,
% 49.61/32.25 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 49.61/32.25 inference(quant_intro,[status(thm)],[8483])).
% 49.61/32.25 tff(8485,plain,
% 49.61/32.25 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 49.61/32.25 inference(rewrite,[status(thm)],[])).
% 49.61/32.25 tff(8486,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_29')).
% 49.61/32.25 tff(8487,plain,
% 49.61/32.25 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 49.61/32.25 inference(modus_ponens,[status(thm)],[8486, 8485])).
% 49.61/32.25 tff(8488,plain,(
% 49.61/32.25 ![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 49.61/32.25 inference(skolemize,[status(sab)],[8487])).
% 49.61/32.25 tff(8489,plain,
% 49.61/32.25 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 49.61/32.25 inference(modus_ponens,[status(thm)],[8488, 8484])).
% 49.61/32.25 tff(8490,plain,
% 49.61/32.25 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | (~m_main_v_CMD(s0, c_write_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | (~m_main_v_CMD(s0, c_write_h_shared)))),
% 49.61/32.25 inference(rewrite,[status(thm)],[])).
% 49.61/32.25 tff(8491,plain,
% 49.61/32.25 (((~m_main_v_CMD(s0, c_write_h_shared)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared))) <=> ((~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | (~m_main_v_CMD(s0, c_write_h_shared)))),
% 49.61/32.25 inference(rewrite,[status(thm)],[])).
% 49.61/32.25 tff(8492,plain,
% 49.61/32.25 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s0, c_write_h_shared)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | (~m_main_v_CMD(s0, c_write_h_shared))))),
% 49.61/32.25 inference(monotonicity,[status(thm)],[8491])).
% 49.61/32.25 tff(8493,plain,
% 49.61/32.25 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s0, c_write_h_shared)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | (~m_main_v_CMD(s0, c_write_h_shared)))),
% 49.61/32.25 inference(transitivity,[status(thm)],[8492, 8490])).
% 49.61/32.25 tff(8494,plain,
% 49.61/32.25 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s0, c_write_h_shared)) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)))),
% 49.61/32.25 inference(quant_inst,[status(thm)],[])).
% 49.61/32.25 tff(8495,plain,
% 49.61/32.25 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s0, c_write_h_resp_h_shared)) | (~m_main_v_CMD(s0, c_write_h_shared))),
% 49.61/32.25 inference(modus_ponens,[status(thm)],[8494, 8493])).
% 49.61/32.25 tff(8496,plain,
% 49.61/32.25 ($false),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[8495, 8489, 8482, 8479])).
% 49.61/32.25 tff(8497,plain,(m_processor_v_CMD(c_p1, s0, c_read_h_shared) | m_processor_v_CMD(c_p1, s0, c_read_h_owned) | m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_state(c_p1, s1, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.61/32.25 tff(8498,plain,
% 49.61/32.25 ($false),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[8497, 8440, 3789, 3057, 4365])).
% 49.61/32.25 tff(8499,plain,(m_processor_v_state(c_p1, s1, c_shared) | m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_CMD(c_p1, s0, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.61/32.25 tff(8500,plain,
% 49.61/32.25 (m_processor_v_state(c_p1, s1, c_shared)),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[8499, 8431, 3057])).
% 49.61/32.25 tff(8501,assumption,(node33(c_p1, s0, s1)), introduced(assumption)).
% 49.61/32.25 tff(8502,plain,
% 49.61/32.25 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p1, s0, c_shared) | (~m_processor_v_state(c_p1, s1, c_shared)) | (~node33(c_p1, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p1, s0, c_shared) | (~m_processor_v_state(c_p1, s1, c_shared)) | (~node33(c_p1, s0, s1)))),
% 49.61/32.25 inference(rewrite,[status(thm)],[])).
% 49.61/32.25 tff(8503,plain,
% 49.61/32.25 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p1, s0, c_shared) | (~m_processor_v_state(c_p1, s1, c_shared)) | (~node33(c_p1, s0, s1)))),
% 49.61/32.25 inference(quant_inst,[status(thm)],[])).
% 49.61/32.25 tff(8504,plain,
% 49.61/32.25 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p1, s0, c_shared) | (~m_processor_v_state(c_p1, s1, c_shared)) | (~node33(c_p1, s0, s1))),
% 49.61/32.25 inference(modus_ponens,[status(thm)],[8503, 8502])).
% 49.61/32.25 tff(8505,plain,
% 49.61/32.25 ($false),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[8504, 830, 3001, 5055, 8501])).
% 49.61/32.25 tff(8506,plain,((~node33(c_p1, s0, s1)) | (~m_processor_v_state(c_p1, s1, c_shared))), inference(lemma,lemma(discharge,[]))).
% 49.61/32.25 tff(8507,plain,
% 49.61/32.25 (~node33(c_p1, s0, s1)),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[8506, 8500])).
% 49.61/32.25 tff(8508,plain,
% 49.61/32.25 (~m_main_v_CMD(s0, c_read_h_shared)),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[4754, 8416])).
% 49.61/32.25 tff(8509,plain,
% 49.61/32.25 (~m_main_v_CMD(s0, c_read_h_owned)),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[4786, 8431])).
% 49.61/32.25 tff(8510,plain,
% 49.61/32.25 (~m_processor_v_master(c_p0, s0)),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[3029, 2879, 2878])).
% 49.61/32.25 tff(8511,plain,
% 49.61/32.25 (~node62(c_p0, s0)),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[4129, 1493, 8510])).
% 49.61/32.25 tff(8512,plain,
% 49.61/32.25 (m_processor_v_cmd(c_p0, s0, c_idle)),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[4166, 8511])).
% 49.61/32.25 tff(8513,plain,
% 49.61/32.25 (node62(c_p1, s0)),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[3027, 3011])).
% 49.61/32.25 tff(8514,plain,
% 49.61/32.25 (m_processor_v_master(c_p1, s0)),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[2982, 8513])).
% 49.61/32.25 tff(8515,plain,
% 49.61/32.25 ($false),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[4436, 3443, 3011, 7697])).
% 49.61/32.25 tff(8516,plain,((~node9(s0)) | m_processor_v_cmd(c_p1, s0, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.61/32.25 tff(8517,plain,
% 49.61/32.25 (~node9(s0)),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[8516, 3011])).
% 49.61/32.25 tff(8518,plain,
% 49.61/32.25 (node10(s0)),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[4277, 8517, 2933, 4234])).
% 49.61/32.25 tff(8519,plain,
% 49.61/32.25 (~m_processor_v_cmd(c_p1, s0, c_read_h_owned)),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[4241, 8518, 2879])).
% 49.61/32.25 tff(8520,plain,
% 49.61/32.25 (~m_processor_v_cmd(c_p1, s0, c_read_h_shared)),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[4453, 8518, 2878])).
% 49.61/32.25 tff(8521,plain,
% 49.61/32.25 ($false),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[4446, 8520, 8519, 8514])).
% 49.61/32.25 tff(8522,plain,(m_processor_v_cmd(c_p1, s0, c_idle) | m_main_v_CMD(s0, c_read_h_shared) | m_main_v_CMD(s0, c_read_h_owned) | (~m_processor_v_cmd(c_p2, s0, c_idle)) | (~m_processor_v_cmd(c_p0, s0, c_idle))), inference(lemma,lemma(discharge,[]))).
% 49.61/32.25 tff(8523,plain,
% 49.61/32.25 (~m_processor_v_cmd(c_p2, s0, c_idle)),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[8522, 3011, 2878, 2879, 8512])).
% 49.61/32.25 tff(8524,plain,
% 49.61/32.25 (m_processor_v_master(c_p2, s0)),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[4120, 8523])).
% 49.61/32.25 tff(8525,plain,
% 49.61/32.25 (~node16(s0)),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[4038, 8514])).
% 49.61/32.25 tff(8526,plain,
% 49.61/32.25 ($false),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[4043, 8525, 8524])).
% 49.61/32.25 tff(8527,plain,(m_processor_v_cmd(c_p1, s0, c_idle) | m_main_v_CMD(s0, c_read_h_shared) | m_main_v_CMD(s0, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.61/32.25 tff(8528,plain,
% 49.61/32.25 (m_processor_v_cmd(c_p1, s0, c_idle)),
% 49.61/32.25 inference(unit_resolution,[status(thm)],[8527, 8509, 8508])).
% 49.65/32.26 tff(8529,plain,
% 49.65/32.26 (node8(s0)),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[4432, 8528, 4121])).
% 49.65/32.26 tff(8530,plain,
% 49.65/32.26 ($false),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[4430, 8529, 8507, 8431, 4032, 8403, 8402, 8401, 8400, 8399])).
% 49.65/32.26 tff(8531,plain,(m_processor_v_waiting(c_p1, s1) | m_processor_v_state(c_p1, s1, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.26 tff(8532,plain,
% 49.65/32.26 (m_processor_v_waiting(c_p1, s1)),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[8531, 3057])).
% 49.65/32.26 tff(8533,plain,
% 49.65/32.26 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p1, s1)) | m_processor_v_master(c_p1, s1) | m_processor_v_reply_h_waiting(c_p1, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s1)) | m_processor_v_master(c_p1, s1) | m_processor_v_reply_h_waiting(c_p1, s1))),
% 49.65/32.26 inference(rewrite,[status(thm)],[])).
% 49.65/32.26 tff(8534,plain,
% 49.65/32.26 ((m_processor_v_master(c_p1, s1) | (~m_processor_v_waiting(c_p1, s1)) | m_processor_v_reply_h_waiting(c_p1, s1)) <=> ((~m_processor_v_waiting(c_p1, s1)) | m_processor_v_master(c_p1, s1) | m_processor_v_reply_h_waiting(c_p1, s1))),
% 49.65/32.26 inference(rewrite,[status(thm)],[])).
% 49.65/32.26 tff(8535,plain,
% 49.65/32.26 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s1) | (~m_processor_v_waiting(c_p1, s1)) | m_processor_v_reply_h_waiting(c_p1, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p1, s1)) | m_processor_v_master(c_p1, s1) | m_processor_v_reply_h_waiting(c_p1, s1)))),
% 49.65/32.26 inference(monotonicity,[status(thm)],[8534])).
% 49.65/32.26 tff(8536,plain,
% 49.65/32.26 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s1) | (~m_processor_v_waiting(c_p1, s1)) | m_processor_v_reply_h_waiting(c_p1, s1))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s1)) | m_processor_v_master(c_p1, s1) | m_processor_v_reply_h_waiting(c_p1, s1))),
% 49.65/32.26 inference(transitivity,[status(thm)],[8535, 8533])).
% 49.65/32.26 tff(8537,plain,
% 49.65/32.26 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s1) | (~m_processor_v_waiting(c_p1, s1)) | m_processor_v_reply_h_waiting(c_p1, s1))),
% 49.65/32.26 inference(quant_inst,[status(thm)],[])).
% 49.65/32.26 tff(8538,plain,
% 49.65/32.26 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s1)) | m_processor_v_master(c_p1, s1) | m_processor_v_reply_h_waiting(c_p1, s1)),
% 49.65/32.26 inference(modus_ponens,[status(thm)],[8537, 8536])).
% 49.65/32.26 tff(8539,plain,
% 49.65/32.26 (m_processor_v_master(c_p1, s1) | m_processor_v_reply_h_waiting(c_p1, s1)),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[8538, 2296, 8532])).
% 49.65/32.26 tff(8540,plain,
% 49.65/32.26 (m_processor_v_reply_h_waiting(c_p1, s1)),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[8539, 3111])).
% 49.65/32.26 tff(8541,assumption,(m_processor_v_reply_h_waiting(c_p1, s1)), introduced(assumption)).
% 49.65/32.26 tff(8542,plain,
% 49.65/32.26 (^[X: $i] : refl(((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X))) <=> ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X))))),
% 49.65/32.26 inference(bind,[status(th)],[])).
% 49.65/32.26 tff(8543,plain,
% 49.65/32.26 (![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X))) <=> ![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))),
% 49.65/32.26 inference(quant_intro,[status(thm)],[8542])).
% 49.65/32.26 tff(8544,plain,
% 49.65/32.26 (![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X))) <=> ![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))),
% 49.65/32.26 inference(rewrite,[status(thm)],[])).
% 49.65/32.26 tff(8545,plain,
% 49.65/32.26 (^[X: $i] : rewrite(((~m_processor_v_reply_h_waiting(c_p1, X)) | (~node6(X))) <=> ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X))))),
% 49.65/32.26 inference(bind,[status(th)],[])).
% 49.65/32.26 tff(8546,plain,
% 49.65/32.26 (![X: $i] : ((~m_processor_v_reply_h_waiting(c_p1, X)) | (~node6(X))) <=> ![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))),
% 49.65/32.26 inference(quant_intro,[status(thm)],[8545])).
% 49.65/32.26 tff(8547,axiom,(![X: $i] : ((~m_processor_v_reply_h_waiting(c_p1, X)) | (~node6(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_80')).
% 49.65/32.26 tff(8548,plain,
% 49.65/32.26 (![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))),
% 49.65/32.26 inference(modus_ponens,[status(thm)],[8547, 8546])).
% 49.65/32.26 tff(8549,plain,
% 49.65/32.26 (![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))),
% 49.65/32.26 inference(modus_ponens,[status(thm)],[8548, 8544])).
% 49.65/32.26 tff(8550,plain,(
% 49.65/32.26 ![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))),
% 49.65/32.26 inference(skolemize,[status(sab)],[8549])).
% 49.65/32.26 tff(8551,plain,
% 49.65/32.26 (![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))),
% 49.65/32.26 inference(modus_ponens,[status(thm)],[8550, 8543])).
% 49.65/32.26 tff(8552,plain,
% 49.65/32.26 (((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | ((~node6(s1)) | (~m_processor_v_reply_h_waiting(c_p1, s1)))) <=> ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | (~node6(s1)) | (~m_processor_v_reply_h_waiting(c_p1, s1)))),
% 49.65/32.26 inference(rewrite,[status(thm)],[])).
% 49.65/32.26 tff(8553,plain,
% 49.65/32.26 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | ((~node6(s1)) | (~m_processor_v_reply_h_waiting(c_p1, s1)))),
% 49.65/32.26 inference(quant_inst,[status(thm)],[])).
% 49.65/32.26 tff(8554,plain,
% 49.65/32.26 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | (~node6(s1)) | (~m_processor_v_reply_h_waiting(c_p1, s1))),
% 49.65/32.26 inference(modus_ponens,[status(thm)],[8553, 8552])).
% 49.65/32.26 tff(8555,plain,
% 49.65/32.26 ($false),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[8554, 8551, 8541, 3747])).
% 49.65/32.26 tff(8556,plain,((~m_processor_v_reply_h_waiting(c_p1, s1)) | (~node6(s1))), inference(lemma,lemma(discharge,[]))).
% 49.65/32.26 tff(8557,plain,
% 49.65/32.26 (~node6(s1)),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[8556, 8540])).
% 49.65/32.26 tff(8558,plain,
% 49.65/32.26 (m_main_v_REPLY_h_WAITING(s1)),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[3760, 8557])).
% 49.65/32.26 tff(8559,plain,
% 49.65/32.26 (m_processor_v_REPLY_h_WAITING(c_p1, s1)),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[3768, 8558])).
% 49.65/32.26 tff(8560,plain,
% 49.65/32.26 (node59(c_p1, s1)),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[3826, 3824, 3823])).
% 49.65/32.26 tff(8561,assumption,(node59(c_p1, s1)), introduced(assumption)).
% 49.65/32.26 tff(8562,assumption,(m_processor_v_CMD(c_p1, s1, c_read_h_owned)), introduced(assumption)).
% 49.65/32.26 tff(8563,plain,
% 49.65/32.26 ($false),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[3736, 707, 8562, 8561])).
% 49.65/32.26 tff(8564,plain,((~node59(c_p1, s1)) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 49.65/32.26 tff(8565,plain,
% 49.65/32.26 (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[8564, 8560])).
% 49.65/32.26 tff(8566,plain,
% 49.65/32.26 (~m_main_v_CMD(s1, c_read_h_owned)),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[3732, 8565])).
% 49.65/32.26 tff(8567,plain,
% 49.65/32.26 (m_memory_v_busy(c_m, s1)),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[4805, 3057])).
% 49.65/32.26 tff(8568,plain,
% 49.65/32.26 (~m_processor_v_REPLY_h_STALL(c_p1, s1)),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[8052, 3824])).
% 49.65/32.26 tff(8569,plain,
% 49.65/32.26 (~m_main_v_REPLY_h_STALL(s1)),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[8059, 8568])).
% 49.65/32.26 tff(8570,plain,
% 49.65/32.26 (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[8228, 8566])).
% 49.65/32.26 tff(8571,plain,
% 49.65/32.26 (~m_processor_v_abort(c_p0, s1)),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[8254, 8570, 8569, 8567])).
% 49.65/32.26 tff(8572,plain,
% 49.65/32.26 (m_processor_v_state(c_p0, s2, c_invalid)),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[5064, 8571, 3057, 4830, 8566])).
% 49.65/32.26 tff(8573,plain,
% 49.65/32.26 (m_processor_v_state(c_p0, s2, c_shared)),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[5027, 8571, 4840, 4830, 8566])).
% 49.65/32.26 tff(8574,plain,
% 49.65/32.26 ($false),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[8392, 8573, 8572])).
% 49.65/32.26 tff(8575,plain,((~node60(c_p1, s1)) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_state(c_p1, s1, c_invalid) | (~m_processor_v_REPLY_h_WAITING(c_p1, s1))), inference(lemma,lemma(discharge,[]))).
% 49.65/32.26 tff(8576,plain,
% 49.65/32.26 (~m_processor_v_master(c_p0, s1)),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[8575, 8046, 3057, 8559])).
% 49.65/32.26 tff(8577,plain,
% 49.65/32.26 ($false),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[3298, 8576, 8396])).
% 49.65/32.26 tff(8578,plain,(m_processor_v_snoop(c_p1, s2, c_invalid) | m_processor_v_state(c_p1, s1, c_invalid) | m_processor_v_master(c_p1, s1)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.26 tff(8579,plain,
% 49.65/32.26 (m_processor_v_state(c_p1, s1, c_invalid)),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[8578, 8142, 7456])).
% 49.65/32.26 tff(8580,plain,
% 49.65/32.26 (~m_processor_v_state(c_p1, s2, c_invalid)),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[5490, 8395])).
% 49.65/32.26 tff(8581,plain,
% 49.65/32.26 ($false),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[3178, 8580, 8579, 8142, 8395])).
% 49.65/32.26 tff(8582,plain,(m_processor_v_snoop(c_p1, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.26 tff(8583,plain,
% 49.65/32.26 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | ((~m_processor_v_snoop(c_p1, s2, c_invalid)) | m_processor_v_snoop(c_p1, s3, c_invalid) | (~node44(c_p1, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | (~m_processor_v_snoop(c_p1, s2, c_invalid)) | m_processor_v_snoop(c_p1, s3, c_invalid) | (~node44(c_p1, s2, s3)))),
% 49.65/32.26 inference(rewrite,[status(thm)],[])).
% 49.65/32.26 tff(8584,plain,
% 49.65/32.26 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | ((~m_processor_v_snoop(c_p1, s2, c_invalid)) | m_processor_v_snoop(c_p1, s3, c_invalid) | (~node44(c_p1, s2, s3)))),
% 49.65/32.26 inference(quant_inst,[status(thm)],[])).
% 49.65/32.26 tff(8585,plain,
% 49.65/32.26 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | (~m_processor_v_snoop(c_p1, s2, c_invalid)) | m_processor_v_snoop(c_p1, s3, c_invalid) | (~node44(c_p1, s2, s3))),
% 49.65/32.26 inference(modus_ponens,[status(thm)],[8584, 8583])).
% 49.65/32.26 tff(8586,plain,
% 49.65/32.26 ((~m_processor_v_snoop(c_p1, s2, c_invalid)) | m_processor_v_snoop(c_p1, s3, c_invalid) | (~node44(c_p1, s2, s3))),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[8585, 7470])).
% 49.65/32.26 tff(8587,plain,
% 49.65/32.26 (m_processor_v_snoop(c_p1, s3, c_invalid) | (~node44(c_p1, s2, s3))),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[8586, 8582])).
% 49.65/32.26 tff(8588,plain,
% 49.65/32.26 (~node44(c_p1, s2, s3)),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[8587, 7455])).
% 49.65/32.26 tff(8589,assumption,(node39(c_p1, s2, s3)), introduced(assumption)).
% 49.65/32.26 tff(8590,assumption,(m_processor_v_snoop(c_p1, s2, c_invalid)), introduced(assumption)).
% 49.65/32.26 tff(8591,plain,
% 49.65/32.26 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~m_processor_v_snoop(c_p1, s2, c_invalid)) | m_processor_v_snoop(c_p1, s3, c_invalid) | (~node39(c_p1, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p1, s2, c_invalid)) | m_processor_v_snoop(c_p1, s3, c_invalid) | (~node39(c_p1, s2, s3)))),
% 49.65/32.26 inference(rewrite,[status(thm)],[])).
% 49.65/32.26 tff(8592,plain,
% 49.65/32.26 (((~node39(c_p1, s2, s3)) | (~m_processor_v_snoop(c_p1, s2, c_invalid)) | m_processor_v_snoop(c_p1, s3, c_invalid)) <=> ((~m_processor_v_snoop(c_p1, s2, c_invalid)) | m_processor_v_snoop(c_p1, s3, c_invalid) | (~node39(c_p1, s2, s3)))),
% 49.65/32.26 inference(rewrite,[status(thm)],[])).
% 49.65/32.26 tff(8593,plain,
% 49.65/32.26 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p1, s2, s3)) | (~m_processor_v_snoop(c_p1, s2, c_invalid)) | m_processor_v_snoop(c_p1, s3, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~m_processor_v_snoop(c_p1, s2, c_invalid)) | m_processor_v_snoop(c_p1, s3, c_invalid) | (~node39(c_p1, s2, s3))))),
% 49.65/32.26 inference(monotonicity,[status(thm)],[8592])).
% 49.65/32.26 tff(8594,plain,
% 49.65/32.26 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p1, s2, s3)) | (~m_processor_v_snoop(c_p1, s2, c_invalid)) | m_processor_v_snoop(c_p1, s3, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p1, s2, c_invalid)) | m_processor_v_snoop(c_p1, s3, c_invalid) | (~node39(c_p1, s2, s3)))),
% 49.65/32.26 inference(transitivity,[status(thm)],[8593, 8591])).
% 49.65/32.26 tff(8595,plain,
% 49.65/32.26 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p1, s2, s3)) | (~m_processor_v_snoop(c_p1, s2, c_invalid)) | m_processor_v_snoop(c_p1, s3, c_invalid))),
% 49.65/32.26 inference(quant_inst,[status(thm)],[])).
% 49.65/32.26 tff(8596,plain,
% 49.65/32.26 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p1, s2, c_invalid)) | m_processor_v_snoop(c_p1, s3, c_invalid) | (~node39(c_p1, s2, s3))),
% 49.65/32.26 inference(modus_ponens,[status(thm)],[8595, 8594])).
% 49.65/32.26 tff(8597,plain,
% 49.65/32.26 ($false),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[8596, 7486, 7455, 8590, 8589])).
% 49.65/32.26 tff(8598,plain,((~node39(c_p1, s2, s3)) | m_processor_v_snoop(c_p1, s3, c_invalid) | (~m_processor_v_snoop(c_p1, s2, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 49.65/32.26 tff(8599,plain,
% 49.65/32.26 ((~node39(c_p1, s2, s3)) | m_processor_v_snoop(c_p1, s3, c_invalid)),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[8598, 8582])).
% 49.65/32.26 tff(8600,plain,
% 49.65/32.26 (~node39(c_p1, s2, s3)),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[8599, 7455])).
% 49.65/32.26 tff(8601,assumption,(~node45(c_p1, s2, s3)), introduced(assumption)).
% 49.65/32.26 tff(8602,plain,
% 49.65/32.26 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s2, s3)) | node45(c_p1, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s2, s3)) | node45(c_p1, s2, s3))),
% 49.65/32.26 inference(rewrite,[status(thm)],[])).
% 49.65/32.26 tff(8603,plain,
% 49.65/32.26 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s2, s3)) | node45(c_p1, s2, s3))),
% 49.65/32.26 inference(quant_inst,[status(thm)],[])).
% 49.65/32.26 tff(8604,plain,
% 49.65/32.26 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s2, s3)) | node45(c_p1, s2, s3)),
% 49.65/32.26 inference(modus_ponens,[status(thm)],[8603, 8602])).
% 49.65/32.26 tff(8605,plain,
% 49.65/32.26 ($false),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[8604, 7503, 2684, 8601])).
% 49.65/32.26 tff(8606,plain,(node45(c_p1, s2, s3)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.26 tff(8607,plain,
% 49.65/32.26 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s2)) | node39(c_p1, s2, s3) | (~node45(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p1, s2)) | node39(c_p1, s2, s3) | (~node45(c_p1, s2, s3)))),
% 49.65/32.26 inference(rewrite,[status(thm)],[])).
% 49.65/32.26 tff(8608,plain,
% 49.65/32.26 ((node39(c_p1, s2, s3) | (~m_processor_v_abort(c_p1, s2)) | (~node45(c_p1, s2, s3))) <=> ((~m_processor_v_abort(c_p1, s2)) | node39(c_p1, s2, s3) | (~node45(c_p1, s2, s3)))),
% 49.65/32.26 inference(rewrite,[status(thm)],[])).
% 49.65/32.26 tff(8609,plain,
% 49.65/32.26 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p1, s2, s3) | (~m_processor_v_abort(c_p1, s2)) | (~node45(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s2)) | node39(c_p1, s2, s3) | (~node45(c_p1, s2, s3))))),
% 49.65/32.26 inference(monotonicity,[status(thm)],[8608])).
% 49.65/32.26 tff(8610,plain,
% 49.65/32.26 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p1, s2, s3) | (~m_processor_v_abort(c_p1, s2)) | (~node45(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p1, s2)) | node39(c_p1, s2, s3) | (~node45(c_p1, s2, s3)))),
% 49.65/32.26 inference(transitivity,[status(thm)],[8609, 8607])).
% 49.65/32.26 tff(8611,plain,
% 49.65/32.26 ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p1, s2, s3) | (~m_processor_v_abort(c_p1, s2)) | (~node45(c_p1, s2, s3)))),
% 49.65/32.26 inference(quant_inst,[status(thm)],[])).
% 49.65/32.26 tff(8612,plain,
% 49.65/32.26 ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p1, s2)) | node39(c_p1, s2, s3) | (~node45(c_p1, s2, s3))),
% 49.65/32.26 inference(modus_ponens,[status(thm)],[8611, 8610])).
% 49.65/32.26 tff(8613,plain,
% 49.65/32.26 ((~m_processor_v_abort(c_p1, s2)) | node39(c_p1, s2, s3)),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[8612, 7518, 8606])).
% 49.65/32.26 tff(8614,plain,
% 49.65/32.26 (~m_processor_v_abort(c_p1, s2)),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[8613, 8600])).
% 49.65/32.26 tff(8615,plain,
% 49.65/32.26 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))) | ((~m_processor_v_master(c_p1, s2)) | (~node40(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))) | (~m_processor_v_master(c_p1, s2)) | (~node40(c_p1, s2)))),
% 49.65/32.26 inference(rewrite,[status(thm)],[])).
% 49.65/32.26 tff(8616,plain,
% 49.65/32.26 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))) | ((~m_processor_v_master(c_p1, s2)) | (~node40(c_p1, s2)))),
% 49.65/32.26 inference(quant_inst,[status(thm)],[])).
% 49.65/32.26 tff(8617,plain,
% 49.65/32.26 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))) | (~m_processor_v_master(c_p1, s2)) | (~node40(c_p1, s2))),
% 49.65/32.26 inference(modus_ponens,[status(thm)],[8616, 8615])).
% 49.65/32.26 tff(8618,plain,
% 49.65/32.26 (~node40(c_p1, s2)),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[8617, 8069, 5151])).
% 49.65/32.26 tff(8619,plain,
% 49.65/32.26 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))) | ((~m_processor_v_master(c_p1, s2)) | (~node41(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))) | (~m_processor_v_master(c_p1, s2)) | (~node41(c_p1, s2)))),
% 49.65/32.26 inference(rewrite,[status(thm)],[])).
% 49.65/32.26 tff(8620,plain,
% 49.65/32.26 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))) | ((~m_processor_v_master(c_p1, s2)) | (~node41(c_p1, s2)))),
% 49.65/32.26 inference(quant_inst,[status(thm)],[])).
% 49.65/32.26 tff(8621,plain,
% 49.65/32.26 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))) | (~m_processor_v_master(c_p1, s2)) | (~node41(c_p1, s2))),
% 49.65/32.26 inference(modus_ponens,[status(thm)],[8620, 8619])).
% 49.65/32.26 tff(8622,plain,
% 49.65/32.26 (~node41(c_p1, s2)),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[8621, 8080, 5151])).
% 49.65/32.26 tff(8623,plain,
% 49.65/32.26 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | m_processor_v_snoop(c_p1, s3, c_invalid) | node40(c_p1, s2) | node41(c_p1, s2) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)) | (~node45(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | m_processor_v_snoop(c_p1, s3, c_invalid) | node40(c_p1, s2) | node41(c_p1, s2) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)) | (~node45(c_p1, s2, s3)))),
% 49.65/32.26 inference(rewrite,[status(thm)],[])).
% 49.65/32.26 tff(8624,plain,
% 49.65/32.26 (((~m_processor_v_master(c_p1, s2)) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p1, s2) | node40(c_p1, s2) | node41(c_p1, s2) | (~node45(c_p1, s2, s3)) | m_processor_v_snoop(c_p1, s3, c_invalid)) <=> ((~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | m_processor_v_snoop(c_p1, s3, c_invalid) | node40(c_p1, s2) | node41(c_p1, s2) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)) | (~node45(c_p1, s2, s3)))),
% 49.65/32.26 inference(rewrite,[status(thm)],[])).
% 49.65/32.26 tff(8625,plain,
% 49.65/32.26 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s2)) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p1, s2) | node40(c_p1, s2) | node41(c_p1, s2) | (~node45(c_p1, s2, s3)) | m_processor_v_snoop(c_p1, s3, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | m_processor_v_snoop(c_p1, s3, c_invalid) | node40(c_p1, s2) | node41(c_p1, s2) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)) | (~node45(c_p1, s2, s3))))),
% 49.65/32.26 inference(monotonicity,[status(thm)],[8624])).
% 49.65/32.26 tff(8626,plain,
% 49.65/32.26 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s2)) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p1, s2) | node40(c_p1, s2) | node41(c_p1, s2) | (~node45(c_p1, s2, s3)) | m_processor_v_snoop(c_p1, s3, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | m_processor_v_snoop(c_p1, s3, c_invalid) | node40(c_p1, s2) | node41(c_p1, s2) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)) | (~node45(c_p1, s2, s3)))),
% 49.65/32.26 inference(transitivity,[status(thm)],[8625, 8623])).
% 49.65/32.26 tff(8627,plain,
% 49.65/32.26 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s2)) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p1, s2) | node40(c_p1, s2) | node41(c_p1, s2) | (~node45(c_p1, s2, s3)) | m_processor_v_snoop(c_p1, s3, c_invalid))),
% 49.65/32.26 inference(quant_inst,[status(thm)],[])).
% 49.65/32.26 tff(8628,plain,
% 49.65/32.26 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | m_processor_v_snoop(c_p1, s3, c_invalid) | node40(c_p1, s2) | node41(c_p1, s2) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)) | (~node45(c_p1, s2, s3))),
% 49.65/32.26 inference(modus_ponens,[status(thm)],[8627, 8626])).
% 49.65/32.26 tff(8629,plain,
% 49.65/32.26 ((~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | m_processor_v_snoop(c_p1, s3, c_invalid) | node40(c_p1, s2) | node41(c_p1, s2) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid))),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[8628, 7563, 8606])).
% 49.65/32.26 tff(8630,plain,
% 49.65/32.26 (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)),
% 49.65/32.26 inference(unit_resolution,[status(thm)],[8629, 8622, 7455, 8614, 5151, 8618])).
% 49.65/32.26 tff(8631,plain,
% 49.65/32.26 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | (m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | (~node42(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | (~node42(c_p1, s2)))),
% 49.65/32.27 inference(rewrite,[status(thm)],[])).
% 49.65/32.27 tff(8632,plain,
% 49.65/32.27 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | (m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | (~node42(c_p1, s2)))),
% 49.65/32.27 inference(quant_inst,[status(thm)],[])).
% 49.65/32.27 tff(8633,plain,
% 49.65/32.27 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | (~node42(c_p1, s2))),
% 49.65/32.27 inference(modus_ponens,[status(thm)],[8632, 8631])).
% 49.65/32.27 tff(8634,plain,
% 49.65/32.27 (~node42(c_p1, s2)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8633, 7579, 8630])).
% 49.65/32.27 tff(8635,plain,
% 49.65/32.27 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p1, s2) | node43(c_p1, s2) | node42(c_p1, s2) | node40(c_p1, s2) | node41(c_p1, s2) | node44(c_p1, s2, s3) | (~node45(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p1, s2) | node43(c_p1, s2) | node42(c_p1, s2) | node40(c_p1, s2) | node41(c_p1, s2) | node44(c_p1, s2, s3) | (~node45(c_p1, s2, s3)))),
% 49.65/32.27 inference(rewrite,[status(thm)],[])).
% 49.65/32.27 tff(8636,plain,
% 49.65/32.27 ((m_processor_v_abort(c_p1, s2) | node40(c_p1, s2) | node41(c_p1, s2) | node42(c_p1, s2) | node43(c_p1, s2) | node44(c_p1, s2, s3) | (~node45(c_p1, s2, s3))) <=> (m_processor_v_abort(c_p1, s2) | node43(c_p1, s2) | node42(c_p1, s2) | node40(c_p1, s2) | node41(c_p1, s2) | node44(c_p1, s2, s3) | (~node45(c_p1, s2, s3)))),
% 49.65/32.27 inference(rewrite,[status(thm)],[])).
% 49.65/32.27 tff(8637,plain,
% 49.65/32.27 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p1, s2) | node40(c_p1, s2) | node41(c_p1, s2) | node42(c_p1, s2) | node43(c_p1, s2) | node44(c_p1, s2, s3) | (~node45(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p1, s2) | node43(c_p1, s2) | node42(c_p1, s2) | node40(c_p1, s2) | node41(c_p1, s2) | node44(c_p1, s2, s3) | (~node45(c_p1, s2, s3))))),
% 49.65/32.27 inference(monotonicity,[status(thm)],[8636])).
% 49.65/32.27 tff(8638,plain,
% 49.65/32.27 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p1, s2) | node40(c_p1, s2) | node41(c_p1, s2) | node42(c_p1, s2) | node43(c_p1, s2) | node44(c_p1, s2, s3) | (~node45(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p1, s2) | node43(c_p1, s2) | node42(c_p1, s2) | node40(c_p1, s2) | node41(c_p1, s2) | node44(c_p1, s2, s3) | (~node45(c_p1, s2, s3)))),
% 49.65/32.27 inference(transitivity,[status(thm)],[8637, 8635])).
% 49.65/32.27 tff(8639,plain,
% 49.65/32.27 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p1, s2) | node40(c_p1, s2) | node41(c_p1, s2) | node42(c_p1, s2) | node43(c_p1, s2) | node44(c_p1, s2, s3) | (~node45(c_p1, s2, s3)))),
% 49.65/32.27 inference(quant_inst,[status(thm)],[])).
% 49.65/32.27 tff(8640,plain,
% 49.65/32.27 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p1, s2) | node43(c_p1, s2) | node42(c_p1, s2) | node40(c_p1, s2) | node41(c_p1, s2) | node44(c_p1, s2, s3) | (~node45(c_p1, s2, s3))),
% 49.65/32.27 inference(modus_ponens,[status(thm)],[8639, 8638])).
% 49.65/32.27 tff(8641,plain,
% 49.65/32.27 (m_processor_v_abort(c_p1, s2) | node43(c_p1, s2) | node42(c_p1, s2) | node40(c_p1, s2) | node41(c_p1, s2) | node44(c_p1, s2, s3)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8640, 7596, 8606])).
% 49.65/32.27 tff(8642,plain,
% 49.65/32.27 (node43(c_p1, s2)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8641, 8634, 8588, 8614, 8622, 8618])).
% 49.65/32.27 tff(8643,plain,
% 49.65/32.27 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node42(c_p1, s2) | m_processor_v_snoop(c_p1, s3, c_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)) | node40(c_p1, s2) | node41(c_p1, s2) | (~node45(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node42(c_p1, s2) | m_processor_v_snoop(c_p1, s3, c_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)) | node40(c_p1, s2) | node41(c_p1, s2) | (~node45(c_p1, s2, s3)))),
% 49.65/32.27 inference(rewrite,[status(thm)],[])).
% 49.65/32.27 tff(8644,plain,
% 49.65/32.27 (((~m_processor_v_master(c_p1, s2)) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p1, s2) | node40(c_p1, s2) | node41(c_p1, s2) | node42(c_p1, s2) | (~node45(c_p1, s2, s3)) | m_processor_v_snoop(c_p1, s3, c_invalid)) <=> ((~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node42(c_p1, s2) | m_processor_v_snoop(c_p1, s3, c_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)) | node40(c_p1, s2) | node41(c_p1, s2) | (~node45(c_p1, s2, s3)))),
% 49.65/32.27 inference(rewrite,[status(thm)],[])).
% 49.65/32.27 tff(8645,plain,
% 49.65/32.27 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s2)) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p1, s2) | node40(c_p1, s2) | node41(c_p1, s2) | node42(c_p1, s2) | (~node45(c_p1, s2, s3)) | m_processor_v_snoop(c_p1, s3, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node42(c_p1, s2) | m_processor_v_snoop(c_p1, s3, c_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)) | node40(c_p1, s2) | node41(c_p1, s2) | (~node45(c_p1, s2, s3))))),
% 49.65/32.27 inference(monotonicity,[status(thm)],[8644])).
% 49.65/32.27 tff(8646,plain,
% 49.65/32.27 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s2)) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p1, s2) | node40(c_p1, s2) | node41(c_p1, s2) | node42(c_p1, s2) | (~node45(c_p1, s2, s3)) | m_processor_v_snoop(c_p1, s3, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node42(c_p1, s2) | m_processor_v_snoop(c_p1, s3, c_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)) | node40(c_p1, s2) | node41(c_p1, s2) | (~node45(c_p1, s2, s3)))),
% 49.65/32.27 inference(transitivity,[status(thm)],[8645, 8643])).
% 49.65/32.27 tff(8647,plain,
% 49.65/32.27 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p1, s2)) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p1, s2) | node40(c_p1, s2) | node41(c_p1, s2) | node42(c_p1, s2) | (~node45(c_p1, s2, s3)) | m_processor_v_snoop(c_p1, s3, c_invalid))),
% 49.65/32.27 inference(quant_inst,[status(thm)],[])).
% 49.65/32.27 tff(8648,plain,
% 49.65/32.27 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node42(c_p1, s2) | m_processor_v_snoop(c_p1, s3, c_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)) | node40(c_p1, s2) | node41(c_p1, s2) | (~node45(c_p1, s2, s3))),
% 49.65/32.27 inference(modus_ponens,[status(thm)],[8647, 8646])).
% 49.65/32.27 tff(8649,plain,
% 49.65/32.27 ((~m_processor_v_master(c_p1, s2)) | m_processor_v_abort(c_p1, s2) | node42(c_p1, s2) | m_processor_v_snoop(c_p1, s3, c_invalid) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)) | node40(c_p1, s2) | node41(c_p1, s2)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8648, 7615, 8606])).
% 49.65/32.27 tff(8650,plain,
% 49.65/32.27 (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8649, 8634, 7455, 5151, 8614, 8618, 8622])).
% 49.65/32.27 tff(8651,plain,
% 49.65/32.27 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared) | (~node43(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared) | (~node43(c_p1, s2)))),
% 49.65/32.27 inference(rewrite,[status(thm)],[])).
% 49.65/32.27 tff(8652,plain,
% 49.65/32.27 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared) | (~node43(c_p1, s2)))),
% 49.65/32.27 inference(quant_inst,[status(thm)],[])).
% 49.65/32.27 tff(8653,plain,
% 49.65/32.27 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared) | (~node43(c_p1, s2))),
% 49.65/32.27 inference(modus_ponens,[status(thm)],[8652, 8651])).
% 49.65/32.27 tff(8654,plain,
% 49.65/32.27 ($false),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8653, 7631, 8650, 8642])).
% 49.65/32.27 tff(8655,plain,((~m_processor_v_master(c_p1, s2)) | m_processor_v_snoop(c_p1, s3, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.27 tff(8656,plain,
% 49.65/32.27 (~m_processor_v_master(c_p1, s2)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8655, 7455])).
% 49.65/32.27 tff(8657,plain,
% 49.65/32.27 (~node39(c_p1, s2, s3)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8598, 7455, 8590])).
% 49.65/32.27 tff(8658,plain,
% 49.65/32.27 (~node44(c_p1, s2, s3)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8586, 7455, 8590])).
% 49.65/32.27 tff(8659,assumption,(~m_processor_v_abort(c_p1, s2)), introduced(assumption)).
% 49.65/32.27 tff(8660,assumption,(~node44(c_p1, s2, s3)), introduced(assumption)).
% 49.65/32.27 tff(8661,plain,
% 49.65/32.27 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | (~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_owned))),
% 49.65/32.27 inference(rewrite,[status(thm)],[])).
% 49.65/32.27 tff(8662,plain,
% 49.65/32.27 (((~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s3, c_owned)) <=> ((~m_processor_v_state(c_p1, s2, c_owned)) | (~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_owned))),
% 49.65/32.27 inference(rewrite,[status(thm)],[])).
% 49.65/32.27 tff(8663,plain,
% 49.65/32.27 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s3, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | (~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_owned)))),
% 49.65/32.27 inference(monotonicity,[status(thm)],[8662])).
% 49.65/32.27 tff(8664,plain,
% 49.65/32.27 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s3, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_owned))),
% 49.65/32.27 inference(transitivity,[status(thm)],[8663, 8661])).
% 49.65/32.27 tff(8665,plain,
% 49.65/32.27 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s3, c_owned))),
% 49.65/32.27 inference(quant_inst,[status(thm)],[])).
% 49.65/32.27 tff(8666,plain,
% 49.65/32.27 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_owned)),
% 49.65/32.27 inference(modus_ponens,[status(thm)],[8665, 8664])).
% 49.65/32.27 tff(8667,plain,
% 49.65/32.27 ($false),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8666, 380, 3147, 5099, 5656])).
% 49.65/32.27 tff(8668,plain,((~m_processor_v_state(c_p1, s2, c_owned)) | (~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.27 tff(8669,plain,
% 49.65/32.27 (~node32(c_p1, s2, s3)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8668, 5656, 3147])).
% 49.65/32.27 tff(8670,plain,
% 49.65/32.27 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_state(c_p1, s2, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_state(c_p1, s2, c_shared)))),
% 49.65/32.27 inference(rewrite,[status(thm)],[])).
% 49.65/32.27 tff(8671,plain,
% 49.65/32.27 (((~m_processor_v_state(c_p1, s2, c_shared)) | (~m_processor_v_state(c_p1, s2, c_owned))) <=> ((~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_state(c_p1, s2, c_shared)))),
% 49.65/32.27 inference(rewrite,[status(thm)],[])).
% 49.65/32.27 tff(8672,plain,
% 49.65/32.27 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s2, c_shared)) | (~m_processor_v_state(c_p1, s2, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_state(c_p1, s2, c_shared))))),
% 49.65/32.27 inference(monotonicity,[status(thm)],[8671])).
% 49.65/32.27 tff(8673,plain,
% 49.65/32.27 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s2, c_shared)) | (~m_processor_v_state(c_p1, s2, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_state(c_p1, s2, c_shared)))),
% 49.65/32.27 inference(transitivity,[status(thm)],[8672, 8670])).
% 49.65/32.27 tff(8674,plain,
% 49.65/32.27 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s2, c_shared)) | (~m_processor_v_state(c_p1, s2, c_owned)))),
% 49.65/32.27 inference(quant_inst,[status(thm)],[])).
% 49.65/32.27 tff(8675,plain,
% 49.65/32.27 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_state(c_p1, s2, c_shared))),
% 49.65/32.27 inference(modus_ponens,[status(thm)],[8674, 8673])).
% 49.65/32.27 tff(8676,plain,
% 49.65/32.27 (~m_processor_v_state(c_p1, s2, c_shared)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8675, 121, 3147])).
% 49.65/32.27 tff(8677,plain,
% 49.65/32.27 (~node36(c_p1, s2)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[5088, 8676])).
% 49.65/32.27 tff(8678,plain,
% 49.65/32.27 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s3, c_owned) | (~node37(c_p1, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s3, c_owned) | (~node37(c_p1, s2, s3)))),
% 49.65/32.27 inference(rewrite,[status(thm)],[])).
% 49.65/32.27 tff(8679,plain,
% 49.65/32.27 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s3, c_owned) | (~node37(c_p1, s2, s3)))),
% 49.65/32.27 inference(quant_inst,[status(thm)],[])).
% 49.65/32.27 tff(8680,plain,
% 49.65/32.27 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s3, c_owned) | (~node37(c_p1, s2, s3))),
% 49.65/32.27 inference(modus_ponens,[status(thm)],[8679, 8678])).
% 49.65/32.27 tff(8681,plain,
% 49.65/32.27 ($false),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8680, 2411, 3147, 5092, 5656])).
% 49.65/32.27 tff(8682,plain,((~node37(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s3, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.27 tff(8683,plain,
% 49.65/32.27 (~node37(c_p1, s2, s3)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8682, 5656, 3147])).
% 49.65/32.27 tff(8684,plain,
% 49.65/32.27 (m_processor_v_abort(c_p1, s2)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[5129, 8683, 5090, 8676, 8677])).
% 49.65/32.27 tff(8685,plain,
% 49.65/32.27 ($false),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[5121, 8684, 8669])).
% 49.65/32.27 tff(8686,plain,(m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_master(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_owned))), inference(lemma,lemma(discharge,[]))).
% 49.65/32.27 tff(8687,plain,
% 49.65/32.27 (~m_processor_v_state(c_p1, s2, c_owned)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8686, 5090, 5656])).
% 49.65/32.27 tff(8688,plain,
% 49.65/32.27 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | (m_processor_v_state(c_p1, s2, c_owned) | (~node41(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | m_processor_v_state(c_p1, s2, c_owned) | (~node41(c_p1, s2)))),
% 49.65/32.27 inference(rewrite,[status(thm)],[])).
% 49.65/32.27 tff(8689,plain,
% 49.65/32.27 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | (m_processor_v_state(c_p1, s2, c_owned) | (~node41(c_p1, s2)))),
% 49.65/32.27 inference(quant_inst,[status(thm)],[])).
% 49.65/32.27 tff(8690,plain,
% 49.65/32.27 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | m_processor_v_state(c_p1, s2, c_owned) | (~node41(c_p1, s2))),
% 49.65/32.27 inference(modus_ponens,[status(thm)],[8689, 8688])).
% 49.65/32.27 tff(8691,plain,
% 49.65/32.27 (~node41(c_p1, s2)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8690, 7548, 8687])).
% 49.65/32.27 tff(8692,plain,
% 49.65/32.27 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | (m_processor_v_state(c_p1, s2, c_owned) | (~node40(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | m_processor_v_state(c_p1, s2, c_owned) | (~node40(c_p1, s2)))),
% 49.65/32.27 inference(rewrite,[status(thm)],[])).
% 49.65/32.27 tff(8693,plain,
% 49.65/32.27 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | (m_processor_v_state(c_p1, s2, c_owned) | (~node40(c_p1, s2)))),
% 49.65/32.27 inference(quant_inst,[status(thm)],[])).
% 49.65/32.27 tff(8694,plain,
% 49.65/32.27 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | m_processor_v_state(c_p1, s2, c_owned) | (~node40(c_p1, s2))),
% 49.65/32.27 inference(modus_ponens,[status(thm)],[8693, 8692])).
% 49.65/32.27 tff(8695,plain,
% 49.65/32.27 (~node40(c_p1, s2)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8694, 7535, 8687])).
% 49.65/32.27 tff(8696,assumption,(~node40(c_p1, s2)), introduced(assumption)).
% 49.65/32.27 tff(8697,assumption,(~node41(c_p1, s2)), introduced(assumption)).
% 49.65/32.27 tff(8698,plain,
% 49.65/32.27 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | (m_processor_v_master(c_p1, s2) | (~node43(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | m_processor_v_master(c_p1, s2) | (~node43(c_p1, s2)))),
% 49.65/32.27 inference(rewrite,[status(thm)],[])).
% 49.65/32.27 tff(8699,plain,
% 49.65/32.27 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | (m_processor_v_master(c_p1, s2) | (~node43(c_p1, s2)))),
% 49.65/32.27 inference(quant_inst,[status(thm)],[])).
% 49.65/32.27 tff(8700,plain,
% 49.65/32.27 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | m_processor_v_master(c_p1, s2) | (~node43(c_p1, s2))),
% 49.65/32.27 inference(modus_ponens,[status(thm)],[8699, 8698])).
% 49.65/32.27 tff(8701,plain,
% 49.65/32.27 (~node43(c_p1, s2)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8700, 8159, 5090])).
% 49.65/32.27 tff(8702,plain,
% 49.65/32.27 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | (m_processor_v_master(c_p1, s2) | (~node42(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | m_processor_v_master(c_p1, s2) | (~node42(c_p1, s2)))),
% 49.65/32.27 inference(rewrite,[status(thm)],[])).
% 49.65/32.27 tff(8703,plain,
% 49.65/32.27 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | (m_processor_v_master(c_p1, s2) | (~node42(c_p1, s2)))),
% 49.65/32.27 inference(quant_inst,[status(thm)],[])).
% 49.65/32.27 tff(8704,plain,
% 49.65/32.27 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | m_processor_v_master(c_p1, s2) | (~node42(c_p1, s2))),
% 49.65/32.27 inference(modus_ponens,[status(thm)],[8703, 8702])).
% 49.65/32.27 tff(8705,plain,
% 49.65/32.27 (~node42(c_p1, s2)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8704, 8170, 5090])).
% 49.65/32.27 tff(8706,plain,
% 49.65/32.27 ($false),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8641, 8705, 8701, 8660, 8659, 8697, 8696])).
% 49.65/32.27 tff(8707,plain,(m_processor_v_master(c_p1, s2) | node44(c_p1, s2, s3) | m_processor_v_abort(c_p1, s2) | node41(c_p1, s2) | node40(c_p1, s2)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.27 tff(8708,plain,
% 49.65/32.27 ($false),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8707, 8695, 8691, 8660, 8659, 5090])).
% 49.65/32.27 tff(8709,plain,(m_processor_v_master(c_p1, s2) | node44(c_p1, s2, s3) | m_processor_v_abort(c_p1, s2) | m_processor_v_state(c_p1, s3, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.27 tff(8710,plain,
% 49.65/32.27 (m_processor_v_abort(c_p1, s2)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8709, 8658, 5090, 5656])).
% 49.65/32.27 tff(8711,plain,
% 49.65/32.27 ($false),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8613, 8710, 8657])).
% 49.65/32.27 tff(8712,plain,(m_processor_v_snoop(c_p1, s3, c_invalid) | m_processor_v_master(c_p1, s2) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_snoop(c_p1, s2, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 49.65/32.27 tff(8713,plain,
% 49.65/32.27 (m_processor_v_master(c_p1, s2)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8712, 8590, 5656, 7455])).
% 49.65/32.27 tff(8714,plain,
% 49.65/32.27 (~node40(c_p1, s2)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8617, 8069, 8713])).
% 49.65/32.27 tff(8715,plain,
% 49.65/32.27 (~node41(c_p1, s2)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8621, 8080, 8713])).
% 49.65/32.27 tff(8716,plain,
% 49.65/32.27 (~node39(c_p1, s2, s3)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8598, 8590, 7455])).
% 49.65/32.27 tff(8717,plain,
% 49.65/32.27 (~m_processor_v_abort(c_p1, s2)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8613, 8716])).
% 49.65/32.27 tff(8718,plain,
% 49.65/32.27 (~node44(c_p1, s2, s3)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8586, 8590, 7455])).
% 49.65/32.27 tff(8719,plain,
% 49.65/32.27 (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8629, 8715, 7455, 8717, 8713, 8714])).
% 49.65/32.27 tff(8720,plain,
% 49.65/32.27 (~node42(c_p1, s2)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8633, 7579, 8719])).
% 49.65/32.27 tff(8721,plain,
% 49.65/32.27 (node43(c_p1, s2)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8641, 8720, 8718, 8717, 8715, 8714])).
% 49.65/32.27 tff(8722,plain,
% 49.65/32.27 (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8649, 8720, 7455, 8713, 8717, 8714, 8715])).
% 49.65/32.27 tff(8723,plain,
% 49.65/32.27 ($false),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8653, 7631, 8722, 8721])).
% 49.65/32.27 tff(8724,plain,((~m_processor_v_snoop(c_p1, s2, c_invalid)) | m_processor_v_snoop(c_p1, s3, c_invalid) | m_processor_v_state(c_p1, s3, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.27 tff(8725,plain,
% 49.65/32.27 (m_processor_v_snoop(c_p1, s3, c_invalid) | m_processor_v_state(c_p1, s3, c_owned)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8724, 8582])).
% 49.65/32.27 tff(8726,plain,
% 49.65/32.27 (m_processor_v_state(c_p1, s3, c_owned)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8725, 7455])).
% 49.65/32.27 tff(8727,plain,
% 49.65/32.27 (m_processor_v_state(c_p1, s2, c_owned)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[5484, 8656, 8726])).
% 49.65/32.27 tff(8728,plain,
% 49.65/32.27 (node41(c_p1, s2)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8707, 8696, 8660, 8659, 5090])).
% 49.65/32.27 tff(8729,plain,
% 49.65/32.27 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | (m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~node41(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~node41(c_p1, s2)))),
% 49.65/32.27 inference(rewrite,[status(thm)],[])).
% 49.65/32.27 tff(8730,plain,
% 49.65/32.27 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | (m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~node41(c_p1, s2)))),
% 49.65/32.27 inference(quant_inst,[status(thm)],[])).
% 49.65/32.27 tff(8731,plain,
% 49.65/32.27 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~node41(c_p1, s2))),
% 49.65/32.27 inference(modus_ponens,[status(thm)],[8730, 8729])).
% 49.65/32.27 tff(8732,plain,
% 49.65/32.27 (m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 49.65/32.27 inference(unit_resolution,[status(thm)],[8731, 8378, 8728])).
% 49.65/32.27 tff(8733,plain,
% 49.65/32.27 (^[Y: $i, I0: $i, X: $i] : refl(((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared)) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared)))),
% 49.65/32.27 inference(bind,[status(th)],[])).
% 49.65/32.27 tff(8734,plain,
% 49.65/32.27 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared)) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))),
% 49.65/32.27 inference(quant_intro,[status(thm)],[8733])).
% 49.65/32.27 tff(8735,plain,
% 49.65/32.27 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared)) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))),
% 49.65/32.27 inference(rewrite,[status(thm)],[])).
% 49.65/32.27 tff(8736,plain,
% 49.65/32.27 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) <=> ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X))), ((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) <=> (((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)) | (~m_processor_v_CMD(I0, X, c_read_h_shared))))), rewrite((((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X))), ((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)))), (((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_snoop(I0, Y, c_shared)) <=> (((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)) | m_processor_v_snoop(I0, Y, c_shared)))), rewrite((((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X)) | m_processor_v_snoop(I0, Y, c_shared)) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | m_processor_v_snoop(I0, Y, c_shared))), (((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_snoop(I0, Y, c_shared)) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | m_processor_v_snoop(I0, Y, c_shared)))), ((((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_snoop(I0, Y, c_shared)) | (~node45(I0, X, Y))) <=> (((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | m_processor_v_snoop(I0, Y, c_shared)) | (~node45(I0, X, Y))))), rewrite((((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | m_processor_v_snoop(I0, Y, c_shared)) | (~node45(I0, X, Y))) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))), ((((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_snoop(I0, Y, c_shared)) | (~node45(I0, X, Y))) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))))),
% 49.65/32.27 inference(bind,[status(th)],[])).
% 49.65/32.27 tff(8737,plain,
% 49.65/32.27 (![Y: $i, I0: $i, X: $i] : (((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_snoop(I0, Y, c_shared)) | (~node45(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))),
% 49.65/32.28 inference(quant_intro,[status(thm)],[8736])).
% 49.65/32.28 tff(8738,axiom,(![Y: $i, I0: $i, X: $i] : (((((m_processor_v_abort(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_snoop(I0, Y, c_shared)) | (~node45(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_88')).
% 49.65/32.28 tff(8739,plain,
% 49.65/32.28 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))),
% 49.65/32.28 inference(modus_ponens,[status(thm)],[8738, 8737])).
% 49.65/32.28 tff(8740,plain,
% 49.65/32.28 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))),
% 49.65/32.28 inference(modus_ponens,[status(thm)],[8739, 8735])).
% 49.65/32.28 tff(8741,plain,(
% 49.65/32.28 ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))),
% 49.65/32.28 inference(skolemize,[status(sab)],[8740])).
% 49.65/32.28 tff(8742,plain,
% 49.65/32.28 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))),
% 49.65/32.28 inference(modus_ponens,[status(thm)],[8741, 8734])).
% 49.65/32.28 tff(8743,plain,
% 49.65/32.28 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | m_processor_v_snoop(c_p1, s3, c_shared) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | (~node45(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | m_processor_v_snoop(c_p1, s3, c_shared) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | (~node45(c_p1, s2, s3)))),
% 49.65/32.28 inference(rewrite,[status(thm)],[])).
% 49.65/32.28 tff(8744,plain,
% 49.65/32.28 (((~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | (~node45(c_p1, s2, s3)) | m_processor_v_snoop(c_p1, s3, c_shared)) <=> ((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | m_processor_v_snoop(c_p1, s3, c_shared) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | (~node45(c_p1, s2, s3)))),
% 49.65/32.28 inference(rewrite,[status(thm)],[])).
% 49.65/32.28 tff(8745,plain,
% 49.65/32.28 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | (~node45(c_p1, s2, s3)) | m_processor_v_snoop(c_p1, s3, c_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | m_processor_v_snoop(c_p1, s3, c_shared) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | (~node45(c_p1, s2, s3))))),
% 49.65/32.28 inference(monotonicity,[status(thm)],[8744])).
% 49.65/32.28 tff(8746,plain,
% 49.65/32.28 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | (~node45(c_p1, s2, s3)) | m_processor_v_snoop(c_p1, s3, c_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | m_processor_v_snoop(c_p1, s3, c_shared) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | (~node45(c_p1, s2, s3)))),
% 49.65/32.28 inference(transitivity,[status(thm)],[8745, 8743])).
% 49.65/32.28 tff(8747,plain,
% 49.65/32.28 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | (~node45(c_p1, s2, s3)) | m_processor_v_snoop(c_p1, s3, c_shared))),
% 49.65/32.28 inference(quant_inst,[status(thm)],[])).
% 49.65/32.28 tff(8748,plain,
% 49.65/32.28 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | m_processor_v_snoop(c_p1, s3, c_shared) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | (~node45(c_p1, s2, s3))),
% 49.65/32.28 inference(modus_ponens,[status(thm)],[8747, 8746])).
% 49.65/32.28 tff(8749,plain,
% 49.65/32.28 ((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | m_processor_v_snoop(c_p1, s3, c_shared) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared))),
% 49.65/32.28 inference(unit_resolution,[status(thm)],[8748, 8742, 8606])).
% 49.65/32.28 tff(8750,plain,
% 49.65/32.28 (m_processor_v_snoop(c_p1, s3, c_shared)),
% 49.65/32.28 inference(unit_resolution,[status(thm)],[8749, 8732, 5090, 3147, 8659])).
% 49.65/32.28 tff(8751,plain,
% 49.65/32.28 (^[Y: $i, I0: $i, X: $i] : refl(((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned)) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned)))),
% 49.65/32.28 inference(bind,[status(th)],[])).
% 49.65/32.28 tff(8752,plain,
% 49.65/32.28 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned)) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))),
% 49.65/32.28 inference(quant_intro,[status(thm)],[8751])).
% 49.65/32.28 tff(8753,plain,
% 49.65/32.28 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned)) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))),
% 49.65/32.28 inference(rewrite,[status(thm)],[])).
% 49.65/32.28 tff(8754,plain,
% 49.65/32.28 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((m_processor_v_abort(I0, X) | node40(I0, X)) | m_processor_v_master(I0, X)) <=> (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X))), ((((m_processor_v_abort(I0, X) | node40(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) <=> ((m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X)) | (~m_processor_v_state(I0, X, c_owned))))), rewrite(((m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) <=> ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X))), ((((m_processor_v_abort(I0, X) | node40(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) <=> ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X)))), (((((m_processor_v_abort(I0, X) | node40(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) <=> (((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X)) | (~m_processor_v_CMD(I0, X, c_read_h_shared))))), rewrite((((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X)) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X))), (((((m_processor_v_abort(I0, X) | node40(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X)))), ((((((m_processor_v_abort(I0, X) | node40(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_snoop(I0, Y, c_owned)) <=> (((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X)) | m_processor_v_snoop(I0, Y, c_owned)))), rewrite((((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X)) | m_processor_v_snoop(I0, Y, c_owned)) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | m_processor_v_snoop(I0, Y, c_owned))), ((((((m_processor_v_abort(I0, X) | node40(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_snoop(I0, Y, c_owned)) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | m_processor_v_snoop(I0, Y, c_owned)))), (((((((m_processor_v_abort(I0, X) | node40(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_snoop(I0, Y, c_owned)) | (~node45(I0, X, Y))) <=> (((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | m_processor_v_snoop(I0, Y, c_owned)) | (~node45(I0, X, Y))))), rewrite((((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | m_processor_v_snoop(I0, Y, c_owned)) | (~node45(I0, X, Y))) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))), (((((((m_processor_v_abort(I0, X) | node40(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_snoop(I0, Y, c_owned)) | (~node45(I0, X, Y))) <=> ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))))),
% 49.65/32.28 inference(bind,[status(th)],[])).
% 49.65/32.28 tff(8755,plain,
% 49.65/32.28 (![Y: $i, I0: $i, X: $i] : ((((((m_processor_v_abort(I0, X) | node40(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_snoop(I0, Y, c_owned)) | (~node45(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))),
% 49.65/32.28 inference(quant_intro,[status(thm)],[8754])).
% 49.65/32.28 tff(8756,axiom,(![Y: $i, I0: $i, X: $i] : ((((((m_processor_v_abort(I0, X) | node40(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) | (~m_processor_v_CMD(I0, X, c_read_h_shared))) | m_processor_v_snoop(I0, Y, c_owned)) | (~node45(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_89')).
% 49.65/32.28 tff(8757,plain,
% 49.65/32.28 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))),
% 49.65/32.28 inference(modus_ponens,[status(thm)],[8756, 8755])).
% 49.65/32.28 tff(8758,plain,
% 49.65/32.28 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))),
% 49.65/32.28 inference(modus_ponens,[status(thm)],[8757, 8753])).
% 49.65/32.28 tff(8759,plain,(
% 49.65/32.28 ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))),
% 49.65/32.28 inference(skolemize,[status(sab)],[8758])).
% 49.65/32.28 tff(8760,plain,
% 49.65/32.28 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))),
% 49.65/32.28 inference(modus_ponens,[status(thm)],[8759, 8752])).
% 49.65/32.28 tff(8761,plain,
% 49.65/32.28 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | m_processor_v_snoop(c_p1, s3, c_owned) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | node40(c_p1, s2) | (~node45(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | m_processor_v_snoop(c_p1, s3, c_owned) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | node40(c_p1, s2) | (~node45(c_p1, s2, s3)))),
% 49.65/32.28 inference(rewrite,[status(thm)],[])).
% 49.65/32.28 tff(8762,plain,
% 49.65/32.28 (((~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | node40(c_p1, s2) | (~node45(c_p1, s2, s3)) | m_processor_v_snoop(c_p1, s3, c_owned)) <=> ((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | m_processor_v_snoop(c_p1, s3, c_owned) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | node40(c_p1, s2) | (~node45(c_p1, s2, s3)))),
% 49.65/32.28 inference(rewrite,[status(thm)],[])).
% 49.65/32.28 tff(8763,plain,
% 49.65/32.28 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | node40(c_p1, s2) | (~node45(c_p1, s2, s3)) | m_processor_v_snoop(c_p1, s3, c_owned))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | m_processor_v_snoop(c_p1, s3, c_owned) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | node40(c_p1, s2) | (~node45(c_p1, s2, s3))))),
% 49.65/32.28 inference(monotonicity,[status(thm)],[8762])).
% 49.65/32.28 tff(8764,plain,
% 49.65/32.28 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | node40(c_p1, s2) | (~node45(c_p1, s2, s3)) | m_processor_v_snoop(c_p1, s3, c_owned))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | m_processor_v_snoop(c_p1, s3, c_owned) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | node40(c_p1, s2) | (~node45(c_p1, s2, s3)))),
% 49.65/32.28 inference(transitivity,[status(thm)],[8763, 8761])).
% 49.65/32.28 tff(8765,plain,
% 49.65/32.28 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | node40(c_p1, s2) | (~node45(c_p1, s2, s3)) | m_processor_v_snoop(c_p1, s3, c_owned))),
% 49.65/32.28 inference(quant_inst,[status(thm)],[])).
% 49.65/32.28 tff(8766,plain,
% 49.65/32.28 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | m_processor_v_snoop(c_p1, s3, c_owned) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | node40(c_p1, s2) | (~node45(c_p1, s2, s3))),
% 49.65/32.28 inference(modus_ponens,[status(thm)],[8765, 8764])).
% 49.65/32.28 tff(8767,plain,
% 49.65/32.28 ((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_master(c_p1, s2) | m_processor_v_abort(c_p1, s2) | m_processor_v_snoop(c_p1, s3, c_owned) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | node40(c_p1, s2)),
% 49.65/32.28 inference(unit_resolution,[status(thm)],[8766, 8760, 8606])).
% 49.65/32.28 tff(8768,plain,
% 49.65/32.28 (m_processor_v_snoop(c_p1, s3, c_owned)),
% 49.65/32.28 inference(unit_resolution,[status(thm)],[8767, 8732, 5090, 3147, 8659, 8696])).
% 49.65/32.28 tff(8769,plain,
% 49.65/32.28 (^[I0: $i, X: $i] : refl(((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared))) <=> ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared))))),
% 49.65/32.28 inference(bind,[status(th)],[])).
% 49.65/32.28 tff(8770,plain,
% 49.65/32.28 (![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))),
% 49.65/32.28 inference(quant_intro,[status(thm)],[8769])).
% 49.65/32.28 tff(8771,plain,
% 49.65/32.28 (![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))),
% 49.65/32.28 inference(rewrite,[status(thm)],[])).
% 49.65/32.28 tff(8772,axiom,(![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_41')).
% 49.65/32.28 tff(8773,plain,
% 49.65/32.28 (![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))),
% 49.65/32.28 inference(modus_ponens,[status(thm)],[8772, 8771])).
% 49.65/32.28 tff(8774,plain,(
% 49.65/32.28 ![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))),
% 49.65/32.28 inference(skolemize,[status(sab)],[8773])).
% 49.65/32.28 tff(8775,plain,
% 49.65/32.28 (![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))),
% 49.65/32.28 inference(modus_ponens,[status(thm)],[8774, 8770])).
% 49.65/32.28 tff(8776,plain,
% 49.65/32.28 (((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p1, s3, c_owned)) | (~m_processor_v_snoop(c_p1, s3, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p1, s3, c_owned)) | (~m_processor_v_snoop(c_p1, s3, c_shared)))),
% 49.65/32.28 inference(rewrite,[status(thm)],[])).
% 49.65/32.28 tff(8777,plain,
% 49.65/32.28 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p1, s3, c_owned)) | (~m_processor_v_snoop(c_p1, s3, c_shared)))),
% 49.65/32.28 inference(quant_inst,[status(thm)],[])).
% 49.65/32.28 tff(8778,plain,
% 49.65/32.28 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p1, s3, c_owned)) | (~m_processor_v_snoop(c_p1, s3, c_shared))),
% 49.65/32.28 inference(modus_ponens,[status(thm)],[8777, 8776])).
% 49.65/32.28 tff(8779,plain,
% 49.65/32.28 ($false),
% 49.65/32.28 inference(unit_resolution,[status(thm)],[8778, 8775, 8768, 8750])).
% 49.65/32.28 tff(8780,plain,(node40(c_p1, s2) | m_processor_v_master(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_abort(c_p1, s2) | node44(c_p1, s2, s3)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.28 tff(8781,plain,
% 49.65/32.28 (node40(c_p1, s2)),
% 49.65/32.28 inference(unit_resolution,[status(thm)],[8780, 8727, 8656, 8614, 8588])).
% 49.65/32.28 tff(8782,plain,
% 49.65/32.28 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | (m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~node40(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~node40(c_p1, s2)))),
% 49.65/32.28 inference(rewrite,[status(thm)],[])).
% 49.65/32.28 tff(8783,plain,
% 49.65/32.28 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | (m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~node40(c_p1, s2)))),
% 49.65/32.28 inference(quant_inst,[status(thm)],[])).
% 49.65/32.28 tff(8784,plain,
% 49.65/32.28 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~node40(c_p1, s2))),
% 49.65/32.28 inference(modus_ponens,[status(thm)],[8783, 8782])).
% 49.65/32.28 tff(8785,plain,
% 49.65/32.28 (m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 49.65/32.28 inference(unit_resolution,[status(thm)],[8784, 8367, 8781])).
% 49.65/32.28 tff(8786,assumption,(m_processor_v_CMD(c_p1, s2, c_read_h_shared)), introduced(assumption)).
% 49.65/32.28 tff(8787,plain,
% 49.65/32.28 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s2, c_read_h_shared) | (~node3(s2)) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s2, c_read_h_shared) | (~node3(s2)) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)))),
% 49.65/32.28 inference(rewrite,[status(thm)],[])).
% 49.65/32.28 tff(8788,plain,
% 49.65/32.28 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s2, c_read_h_shared) | (~node3(s2)) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)))),
% 49.65/32.28 inference(quant_inst,[status(thm)],[])).
% 49.65/32.28 tff(8789,plain,
% 49.65/32.28 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s2, c_read_h_shared) | (~node3(s2)) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared))),
% 49.65/32.28 inference(modus_ponens,[status(thm)],[8788, 8787])).
% 49.65/32.28 tff(8790,plain,
% 49.65/32.28 ($false),
% 49.65/32.28 inference(unit_resolution,[status(thm)],[8789, 1260, 5290, 5301, 8786])).
% 49.65/32.28 tff(8791,plain,((~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | m_main_v_CMD(s2, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.28 tff(8792,plain,
% 49.65/32.28 (m_main_v_CMD(s2, c_read_h_shared)),
% 49.65/32.28 inference(unit_resolution,[status(thm)],[8791, 8785])).
% 49.65/32.28 tff(8793,plain,
% 49.65/32.28 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | (~m_main_v_CMD(s2, c_read_h_owned)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~m_main_v_CMD(s2, c_read_h_owned)))),
% 49.65/32.28 inference(rewrite,[status(thm)],[])).
% 49.65/32.28 tff(8794,plain,
% 49.65/32.28 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | (~m_main_v_CMD(s2, c_read_h_owned)))),
% 49.65/32.28 inference(quant_inst,[status(thm)],[])).
% 49.65/32.28 tff(8795,plain,
% 49.65/32.28 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~m_main_v_CMD(s2, c_read_h_owned))),
% 49.65/32.28 inference(modus_ponens,[status(thm)],[8794, 8793])).
% 49.65/32.28 tff(8796,plain,
% 49.65/32.28 ($false),
% 49.65/32.28 inference(unit_resolution,[status(thm)],[8795, 6497, 5286, 5392])).
% 49.65/32.28 tff(8797,plain,((~m_main_v_CMD(s2, c_read_h_shared)) | (~m_main_v_CMD(s2, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 49.65/32.28 tff(8798,plain,
% 49.65/32.28 (~m_main_v_CMD(s2, c_read_h_owned)),
% 49.65/32.28 inference(unit_resolution,[status(thm)],[8797, 8792])).
% 49.65/32.28 tff(8799,plain,
% 49.65/32.28 (~node56(c_p1, s2)),
% 49.65/32.28 inference(unit_resolution,[status(thm)],[5723, 3112])).
% 49.65/32.28 tff(8800,plain,
% 49.65/32.28 (~m_processor_v_writable(c_p1, s2)),
% 49.65/32.28 inference(unit_resolution,[status(thm)],[5713, 8799])).
% 49.65/32.28 tff(8801,plain,
% 49.65/32.28 (~node67(s2)),
% 49.65/32.28 inference(unit_resolution,[status(thm)],[5705, 8800])).
% 49.65/32.28 tff(8802,plain,
% 49.65/32.28 (node67(s3)),
% 49.65/32.28 inference(unit_resolution,[status(thm)],[6250, 8801, 5932, 5949, 5668, 5669, 5667, 5670])).
% 49.65/32.28 tff(8803,plain,
% 49.65/32.28 (m_processor_v_writable(c_p1, s3)),
% 49.65/32.28 inference(unit_resolution,[status(thm)],[2604, 8802])).
% 49.65/32.28 tff(8804,plain,
% 49.65/32.28 (node56(c_p1, s3)),
% 49.65/32.28 inference(unit_resolution,[status(thm)],[2612, 8803])).
% 49.65/32.28 tff(8805,plain,
% 49.65/32.28 (m_processor_v_state(c_p1, s3, c_owned)),
% 49.65/32.28 inference(unit_resolution,[status(thm)],[5664, 8804])).
% 49.65/32.28 tff(8806,plain,
% 49.65/32.28 (~m_processor_v_state(c_p1, s2, c_invalid)),
% 49.65/32.28 inference(unit_resolution,[status(thm)],[5372, 8805, 5133])).
% 49.65/32.28 tff(8807,plain,
% 49.65/32.28 (m_processor_v_master(c_p1, s2)),
% 49.65/32.28 inference(unit_resolution,[status(thm)],[5484, 3112, 2595])).
% 49.65/32.28 tff(8808,plain,
% 49.65/32.28 (~m_processor_v_master(c_p0, s2)),
% 49.65/32.28 inference(unit_resolution,[status(thm)],[5370, 794, 8807])).
% 49.65/32.28 tff(8809,plain,
% 49.65/32.28 (~node56(c_p0, s3)),
% 49.65/32.28 inference(unit_resolution,[status(thm)],[2648, 13, 2642])).
% 49.65/32.28 tff(8810,plain,
% 49.65/32.28 (~m_processor_v_writable(c_p0, s3)),
% 49.65/32.28 inference(unit_resolution,[status(thm)],[2637, 28, 8809])).
% 49.65/32.28 tff(8811,plain,
% 49.65/32.28 (~node67(s3)),
% 49.65/32.28 inference(unit_resolution,[status(thm)],[2629, 43, 8810])).
% 49.65/32.28 tff(8812,assumption,(m_processor_v_state(c_p0, s2, c_owned)), introduced(assumption)).
% 49.65/32.28 tff(8813,plain,
% 49.65/32.28 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_state(c_p0, s3, c_owned) | (~node37(c_p0, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_state(c_p0, s3, c_owned) | (~node37(c_p0, s2, s3)))),
% 49.65/32.28 inference(rewrite,[status(thm)],[])).
% 49.65/32.28 tff(8814,plain,
% 49.65/32.28 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_state(c_p0, s3, c_owned) | (~node37(c_p0, s2, s3)))),
% 49.65/32.28 inference(quant_inst,[status(thm)],[])).
% 49.65/32.28 tff(8815,plain,
% 49.65/32.28 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_state(c_p0, s3, c_owned) | (~node37(c_p0, s2, s3))),
% 49.65/32.28 inference(modus_ponens,[status(thm)],[8814, 8813])).
% 49.65/32.28 tff(8816,plain,
% 49.65/32.28 (~node37(c_p0, s2, s3)),
% 49.65/32.28 inference(unit_resolution,[status(thm)],[8815, 2411, 8812, 2642])).
% 49.65/32.28 tff(8817,plain,
% 49.65/32.28 (m_processor_v_abort(c_p0, s2)),
% 49.65/32.28 inference(unit_resolution,[status(thm)],[2696, 2672, 2622, 2668, 8816])).
% 49.65/32.28 tff(8818,plain,
% 49.65/32.28 (node32(c_p0, s2, s3)),
% 49.65/32.28 inference(unit_resolution,[status(thm)],[2704, 8817])).
% 49.65/32.28 tff(8819,plain,
% 49.65/32.28 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_state(c_p0, s3, c_owned) | (~node32(c_p0, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_state(c_p0, s3, c_owned) | (~node32(c_p0, s2, s3)))),
% 49.65/32.28 inference(rewrite,[status(thm)],[])).
% 49.65/32.28 tff(8820,plain,
% 49.65/32.28 (((~node32(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_state(c_p0, s3, c_owned)) <=> ((~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_state(c_p0, s3, c_owned) | (~node32(c_p0, s2, s3)))),
% 49.65/32.28 inference(rewrite,[status(thm)],[])).
% 49.65/32.28 tff(8821,plain,
% 49.65/32.28 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_state(c_p0, s3, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_state(c_p0, s3, c_owned) | (~node32(c_p0, s2, s3))))),
% 49.65/32.28 inference(monotonicity,[status(thm)],[8820])).
% 49.65/32.28 tff(8822,plain,
% 49.65/32.28 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_state(c_p0, s3, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_state(c_p0, s3, c_owned) | (~node32(c_p0, s2, s3)))),
% 49.65/32.28 inference(transitivity,[status(thm)],[8821, 8819])).
% 49.65/32.28 tff(8823,plain,
% 49.65/32.28 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_state(c_p0, s3, c_owned))),
% 49.65/32.28 inference(quant_inst,[status(thm)],[])).
% 49.65/32.28 tff(8824,plain,
% 49.65/32.29 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_state(c_p0, s3, c_owned) | (~node32(c_p0, s2, s3))),
% 49.65/32.29 inference(modus_ponens,[status(thm)],[8823, 8822])).
% 49.65/32.29 tff(8825,plain,
% 49.65/32.29 ($false),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8824, 380, 8812, 8818, 2642])).
% 49.65/32.29 tff(8826,plain,((~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_state(c_p0, s3, c_owned) | m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s2, c_shared)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.29 tff(8827,plain,
% 49.65/32.29 (m_processor_v_state(c_p0, s2, c_shared)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8826, 8812, 2642, 2622])).
% 49.65/32.29 tff(8828,plain,
% 49.65/32.29 ($false),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[5000, 121, 8812, 8827])).
% 49.65/32.29 tff(8829,plain,((~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_state(c_p0, s3, c_owned) | m_processor_v_master(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.29 tff(8830,plain,
% 49.65/32.29 (~m_processor_v_state(c_p0, s2, c_owned)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8829, 2642, 2622])).
% 49.65/32.29 tff(8831,plain,
% 49.65/32.29 (~node56(c_p0, s2)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[5742, 8830])).
% 49.65/32.29 tff(8832,plain,
% 49.65/32.29 (~m_processor_v_writable(c_p0, s2)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[5735, 8831])).
% 49.65/32.29 tff(8833,plain,
% 49.65/32.29 (~node67(s2)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[5727, 43, 8832])).
% 49.65/32.29 tff(8834,plain,
% 49.65/32.29 ($false),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[6250, 8833, 8811, 5932, 5949, 5668, 5667, 5670, 5669])).
% 49.65/32.29 tff(8835,plain,(m_processor_v_state(c_p0, s3, c_owned) | node67(s8) | node67(s9) | node67(s6) | node67(s7) | node67(s4) | node67(s5) | m_processor_v_master(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.29 tff(8836,plain,
% 49.65/32.29 (m_processor_v_state(c_p0, s3, c_owned)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8835, 8808, 5949, 5669, 5668, 5670, 5667, 5932])).
% 49.65/32.29 tff(8837,plain,
% 49.65/32.29 (m_processor_v_state(c_p0, s2, c_owned)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[2775, 8836, 8808])).
% 49.65/32.29 tff(8838,plain,
% 49.65/32.29 (~m_processor_v_state(c_p0, s2, c_shared)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[5000, 121, 8837])).
% 49.65/32.29 tff(8839,plain,
% 49.65/32.29 (~m_processor_v_state(c_p0, s2, c_invalid)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[2779, 137, 8837])).
% 49.65/32.29 tff(8840,plain,
% 49.65/32.29 (m_processor_v_master(c_p0, s1)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[3961, 3849, 3847])).
% 49.65/32.29 tff(8841,plain,
% 49.65/32.29 (m_main_v_CMD(s1, c_read_h_owned)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[5027, 3950, 2668, 8840, 3849])).
% 49.65/32.29 tff(8842,plain,
% 49.65/32.29 (m_processor_v_CMD(c_p0, s1, c_read_h_owned)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[4915, 8841])).
% 49.65/32.29 tff(8843,plain,
% 49.65/32.29 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node59(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node59(c_p0, s1)))),
% 49.65/32.29 inference(rewrite,[status(thm)],[])).
% 49.65/32.29 tff(8844,plain,
% 49.65/32.29 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node59(c_p0, s1)))),
% 49.65/32.29 inference(quant_inst,[status(thm)],[])).
% 49.65/32.29 tff(8845,plain,
% 49.65/32.29 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node59(c_p0, s1))),
% 49.65/32.29 inference(modus_ponens,[status(thm)],[8844, 8843])).
% 49.65/32.29 tff(8846,plain,
% 49.65/32.29 (~node59(c_p0, s1)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8845, 707, 8842])).
% 49.65/32.29 tff(8847,plain,
% 49.65/32.29 (node60(c_p0, s1)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[3877, 693, 3950])).
% 49.65/32.29 tff(8848,assumption,(m_processor_v_REPLY_h_WAITING(c_p0, s1)), introduced(assumption)).
% 49.65/32.29 tff(8849,plain,
% 49.65/32.29 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p0, s1)) | (~node60(c_p0, s1)) | node59(c_p0, s1))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p0, s1)) | (~node60(c_p0, s1)) | node59(c_p0, s1))),
% 49.65/32.29 inference(rewrite,[status(thm)],[])).
% 49.65/32.29 tff(8850,plain,
% 49.65/32.29 ((node59(c_p0, s1) | (~node60(c_p0, s1)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s1))) <=> ((~m_processor_v_REPLY_h_WAITING(c_p0, s1)) | (~node60(c_p0, s1)) | node59(c_p0, s1))),
% 49.65/32.29 inference(rewrite,[status(thm)],[])).
% 49.65/32.29 tff(8851,plain,
% 49.65/32.29 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s1) | (~node60(c_p0, s1)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p0, s1)) | (~node60(c_p0, s1)) | node59(c_p0, s1)))),
% 49.65/32.29 inference(monotonicity,[status(thm)],[8850])).
% 49.65/32.29 tff(8852,plain,
% 49.65/32.29 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s1) | (~node60(c_p0, s1)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p0, s1)) | (~node60(c_p0, s1)) | node59(c_p0, s1))),
% 49.65/32.29 inference(transitivity,[status(thm)],[8851, 8849])).
% 49.65/32.29 tff(8853,plain,
% 49.65/32.29 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s1) | (~node60(c_p0, s1)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s1)))),
% 49.65/32.29 inference(quant_inst,[status(thm)],[])).
% 49.65/32.29 tff(8854,plain,
% 49.65/32.29 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p0, s1)) | (~node60(c_p0, s1)) | node59(c_p0, s1)),
% 49.65/32.29 inference(modus_ponens,[status(thm)],[8853, 8852])).
% 49.65/32.29 tff(8855,plain,
% 49.65/32.29 ($false),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8854, 724, 8848, 8847, 8846])).
% 49.65/32.29 tff(8856,plain,((~m_processor_v_state(c_p0, s1, c_invalid)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s1)) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.29 tff(8857,plain,
% 49.65/32.29 (~m_processor_v_REPLY_h_WAITING(c_p0, s1)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8856, 8839, 3846, 8838])).
% 49.65/32.29 tff(8858,assumption,(~m_processor_v_REPLY_h_WAITING(c_p0, s1)), introduced(assumption)).
% 49.65/32.29 tff(8859,plain,
% 49.65/32.29 (((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | ((~m_main_v_REPLY_h_WAITING(s1)) | m_processor_v_REPLY_h_WAITING(c_p0, s1))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | (~m_main_v_REPLY_h_WAITING(s1)) | m_processor_v_REPLY_h_WAITING(c_p0, s1))),
% 49.65/32.29 inference(rewrite,[status(thm)],[])).
% 49.65/32.29 tff(8860,plain,
% 49.65/32.29 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | ((~m_main_v_REPLY_h_WAITING(s1)) | m_processor_v_REPLY_h_WAITING(c_p0, s1))),
% 49.65/32.29 inference(quant_inst,[status(thm)],[])).
% 49.65/32.29 tff(8861,plain,
% 49.65/32.29 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | (~m_main_v_REPLY_h_WAITING(s1)) | m_processor_v_REPLY_h_WAITING(c_p0, s1)),
% 49.65/32.29 inference(modus_ponens,[status(thm)],[8860, 8859])).
% 49.65/32.29 tff(8862,plain,
% 49.65/32.29 ($false),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8861, 7774, 8858, 3763])).
% 49.65/32.29 tff(8863,plain,((~m_main_v_REPLY_h_WAITING(s1)) | m_processor_v_REPLY_h_WAITING(c_p0, s1)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.29 tff(8864,plain,
% 49.65/32.29 (~m_main_v_REPLY_h_WAITING(s1)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8863, 8857])).
% 49.65/32.29 tff(8865,plain,
% 49.65/32.29 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | (m_main_v_REPLY_h_WAITING(s1) | (~m_processor_v_REPLY_h_WAITING(c_p1, s1)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | m_main_v_REPLY_h_WAITING(s1) | (~m_processor_v_REPLY_h_WAITING(c_p1, s1)))),
% 49.65/32.29 inference(rewrite,[status(thm)],[])).
% 49.65/32.29 tff(8866,plain,
% 49.65/32.29 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | (m_main_v_REPLY_h_WAITING(s1) | (~m_processor_v_REPLY_h_WAITING(c_p1, s1)))),
% 49.65/32.29 inference(quant_inst,[status(thm)],[])).
% 49.65/32.29 tff(8867,plain,
% 49.65/32.29 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | m_main_v_REPLY_h_WAITING(s1) | (~m_processor_v_REPLY_h_WAITING(c_p1, s1))),
% 49.65/32.29 inference(modus_ponens,[status(thm)],[8866, 8865])).
% 49.65/32.29 tff(8868,plain,
% 49.65/32.29 ($false),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8867, 7866, 3755, 3823])).
% 49.65/32.29 tff(8869,plain,(m_main_v_REPLY_h_WAITING(s1) | (~m_processor_v_REPLY_h_WAITING(c_p1, s1))), inference(lemma,lemma(discharge,[]))).
% 49.65/32.29 tff(8870,plain,
% 49.65/32.29 (~m_processor_v_REPLY_h_WAITING(c_p1, s1)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8869, 8864])).
% 49.65/32.29 tff(8871,assumption,(node61(c_p1, s1)), introduced(assumption)).
% 49.65/32.29 tff(8872,plain,
% 49.65/32.29 (((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p1, s1) | (~node61(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p1, s1) | (~node61(c_p1, s1)))),
% 49.65/32.29 inference(rewrite,[status(thm)],[])).
% 49.65/32.29 tff(8873,plain,
% 49.65/32.29 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p1, s1) | (~node61(c_p1, s1)))),
% 49.65/32.29 inference(quant_inst,[status(thm)],[])).
% 49.65/32.29 tff(8874,plain,
% 49.65/32.29 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p1, s1) | (~node61(c_p1, s1))),
% 49.65/32.29 inference(modus_ponens,[status(thm)],[8873, 8872])).
% 49.65/32.29 tff(8875,plain,
% 49.65/32.29 ($false),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8874, 1891, 8871, 3762])).
% 49.65/32.29 tff(8876,plain,(m_processor_v_REPLY_h_WAITING(c_p1, s1) | (~node61(c_p1, s1))), inference(lemma,lemma(discharge,[]))).
% 49.65/32.29 tff(8877,plain,
% 49.65/32.29 (~node61(c_p1, s1)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8876, 8870])).
% 49.65/32.29 tff(8878,plain,
% 49.65/32.29 (~node32(c_p0, s1, s2)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[3857, 8839, 3846])).
% 49.65/32.29 tff(8879,plain,
% 49.65/32.29 (~m_processor_v_abort(c_p0, s1)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[3871, 8878])).
% 49.65/32.29 tff(8880,plain,
% 49.65/32.29 (node60(c_p0, s1)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[3879, 8879])).
% 49.65/32.29 tff(8881,plain,
% 49.65/32.29 (~m_processor_v_REPLY_h_STALL(c_p0, s1)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[3887, 8880])).
% 49.65/32.29 tff(8882,plain,
% 49.65/32.29 (~m_main_v_REPLY_h_STALL(s1)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[3895, 8881])).
% 49.65/32.29 tff(8883,plain,
% 49.65/32.29 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | (m_main_v_REPLY_h_STALL(s1) | (~m_processor_v_REPLY_h_STALL(c_p1, s1)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | m_main_v_REPLY_h_STALL(s1) | (~m_processor_v_REPLY_h_STALL(c_p1, s1)))),
% 49.65/32.29 inference(rewrite,[status(thm)],[])).
% 49.65/32.29 tff(8884,plain,
% 49.65/32.29 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | (m_main_v_REPLY_h_STALL(s1) | (~m_processor_v_REPLY_h_STALL(c_p1, s1)))),
% 49.65/32.29 inference(quant_inst,[status(thm)],[])).
% 49.65/32.29 tff(8885,plain,
% 49.65/32.29 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | m_main_v_REPLY_h_STALL(s1) | (~m_processor_v_REPLY_h_STALL(c_p1, s1))),
% 49.65/32.29 inference(modus_ponens,[status(thm)],[8884, 8883])).
% 49.65/32.29 tff(8886,plain,
% 49.65/32.29 ($false),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8885, 1399, 3898, 8047])).
% 49.65/32.29 tff(8887,plain,((~m_processor_v_REPLY_h_STALL(c_p1, s1)) | m_main_v_REPLY_h_STALL(s1)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.29 tff(8888,plain,
% 49.65/32.29 (~m_processor_v_REPLY_h_STALL(c_p1, s1)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8887, 8882])).
% 49.65/32.29 tff(8889,assumption,(~node61(c_p1, s1)), introduced(assumption)).
% 49.65/32.29 tff(8890,assumption,(m_processor_v_abort(c_p1, s1)), introduced(assumption)).
% 49.65/32.29 tff(8891,plain,
% 49.65/32.29 (((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p1, s1)) | m_processor_v_REPLY_h_STALL(c_p1, s1) | node61(c_p1, s1))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p1, s1)) | m_processor_v_REPLY_h_STALL(c_p1, s1) | node61(c_p1, s1))),
% 49.65/32.29 inference(rewrite,[status(thm)],[])).
% 49.65/32.29 tff(8892,plain,
% 49.65/32.29 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p1, s1)) | m_processor_v_REPLY_h_STALL(c_p1, s1) | node61(c_p1, s1))),
% 49.65/32.29 inference(quant_inst,[status(thm)],[])).
% 49.65/32.29 tff(8893,plain,
% 49.65/32.29 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p1, s1)) | m_processor_v_REPLY_h_STALL(c_p1, s1) | node61(c_p1, s1)),
% 49.65/32.29 inference(modus_ponens,[status(thm)],[8892, 8891])).
% 49.65/32.29 tff(8894,plain,
% 49.65/32.29 ($false),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8893, 1417, 8890, 8889, 8054])).
% 49.65/32.29 tff(8895,plain,(m_processor_v_REPLY_h_STALL(c_p1, s1) | (~m_processor_v_abort(c_p1, s1)) | node61(c_p1, s1)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.29 tff(8896,plain,
% 49.65/32.29 (~m_processor_v_abort(c_p1, s1)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8895, 8888, 8877])).
% 49.65/32.29 tff(8897,plain,
% 49.65/32.29 (m_processor_v_master(c_p0, s1)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[3961, 8839, 3846])).
% 49.65/32.29 tff(8898,plain,
% 49.65/32.29 (m_main_v_CMD(s1, c_read_h_owned)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[5027, 8879, 8838, 8897, 3846])).
% 49.65/32.29 tff(8899,plain,
% 49.65/32.29 (m_processor_v_CMD(c_p1, s1, c_read_h_owned)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[3732, 8898])).
% 49.65/32.29 tff(8900,assumption,(node35(c_p1, s1)), introduced(assumption)).
% 49.65/32.29 tff(8901,plain,
% 49.65/32.29 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~node35(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~node35(c_p1, s1)))),
% 49.65/32.29 inference(rewrite,[status(thm)],[])).
% 49.65/32.29 tff(8902,plain,
% 49.65/32.29 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~node35(c_p1, s1)))),
% 49.65/32.29 inference(quant_inst,[status(thm)],[])).
% 49.65/32.29 tff(8903,plain,
% 49.65/32.29 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~node35(c_p1, s1))),
% 49.65/32.29 inference(modus_ponens,[status(thm)],[8902, 8901])).
% 49.65/32.29 tff(8904,plain,
% 49.65/32.29 ($false),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8903, 316, 8900, 8562])).
% 49.65/32.29 tff(8905,plain,((~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~node35(c_p1, s1))), inference(lemma,lemma(discharge,[]))).
% 49.65/32.29 tff(8906,plain,
% 49.65/32.29 (~node35(c_p1, s1)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8905, 8899])).
% 49.65/32.29 tff(8907,plain,
% 49.65/32.29 (~m_processor_v_master(c_p1, s1)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[3257, 794, 8897])).
% 49.65/32.29 tff(8908,plain,
% 49.65/32.29 (m_processor_v_state(c_p1, s2, c_shared)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[3117, 3112, 2781])).
% 49.65/32.29 tff(8909,plain,
% 49.65/32.29 (m_processor_v_state(c_p1, s1, c_shared)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[3813, 8907, 8908])).
% 49.65/32.29 tff(8910,plain,
% 49.65/32.29 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p1, s1) | m_processor_v_master(c_p1, s1) | (~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_state(c_p1, s2, c_invalid) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p1, s1) | m_processor_v_master(c_p1, s1) | (~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_state(c_p1, s2, c_invalid) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1))),
% 49.65/32.29 inference(rewrite,[status(thm)],[])).
% 49.65/32.29 tff(8911,plain,
% 49.65/32.29 (((~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_master(c_p1, s1) | node35(c_p1, s1) | m_processor_v_state(c_p1, s2, c_invalid) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1)) <=> (node35(c_p1, s1) | m_processor_v_master(c_p1, s1) | (~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_state(c_p1, s2, c_invalid) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1))),
% 49.65/32.29 inference(rewrite,[status(thm)],[])).
% 49.65/32.29 tff(8912,plain,
% 49.65/32.29 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_master(c_p1, s1) | node35(c_p1, s1) | m_processor_v_state(c_p1, s2, c_invalid) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p1, s1) | m_processor_v_master(c_p1, s1) | (~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_state(c_p1, s2, c_invalid) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1)))),
% 49.65/32.29 inference(monotonicity,[status(thm)],[8911])).
% 49.65/32.29 tff(8913,plain,
% 49.65/32.29 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_master(c_p1, s1) | node35(c_p1, s1) | m_processor_v_state(c_p1, s2, c_invalid) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p1, s1) | m_processor_v_master(c_p1, s1) | (~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_state(c_p1, s2, c_invalid) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1))),
% 49.65/32.29 inference(transitivity,[status(thm)],[8912, 8910])).
% 49.65/32.29 tff(8914,plain,
% 49.65/32.29 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_master(c_p1, s1) | node35(c_p1, s1) | m_processor_v_state(c_p1, s2, c_invalid) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1))),
% 49.65/32.29 inference(quant_inst,[status(thm)],[])).
% 49.65/32.29 tff(8915,plain,
% 49.65/32.29 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p1, s1) | m_processor_v_master(c_p1, s1) | (~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_state(c_p1, s2, c_invalid) | (~node38(c_p1, s1, s2)) | m_processor_v_abort(c_p1, s1)),
% 49.65/32.29 inference(modus_ponens,[status(thm)],[8914, 8913])).
% 49.65/32.29 tff(8916,plain,
% 49.65/32.29 (node35(c_p1, s1) | m_processor_v_master(c_p1, s1) | (~m_processor_v_state(c_p1, s1, c_shared)) | m_processor_v_state(c_p1, s2, c_invalid) | m_processor_v_abort(c_p1, s1)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8915, 301, 3141])).
% 49.65/32.29 tff(8917,plain,
% 49.65/32.29 ($false),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8916, 8909, 8907, 8906, 2781, 8896])).
% 49.65/32.29 tff(8918,plain,(m_processor_v_state(c_p1, s2, c_owned) | m_processor_v_state(c_p1, s2, c_invalid) | node67(s9) | node67(s5) | node67(s6) | node67(s4) | node67(s7) | node67(s8) | (~m_processor_v_state(c_p1, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 49.65/32.29 tff(8919,plain,
% 49.65/32.29 ($false),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8918, 8806, 8805, 5949, 5669, 5668, 5670, 5667, 5932, 3112])).
% 49.65/32.29 tff(8920,plain,(m_processor_v_state(c_p1, s2, c_owned) | node67(s9) | node67(s5) | node67(s6) | node67(s4) | node67(s7) | node67(s8) | m_main_v_CMD(s2, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.29 tff(8921,plain,
% 49.65/32.29 (m_processor_v_state(c_p1, s2, c_owned)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8920, 5667, 5669, 5668, 5670, 5133, 5932, 5949])).
% 49.65/32.29 tff(8922,plain,
% 49.65/32.29 (~m_processor_v_state(c_p1, s3, c_owned)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[5372, 5133, 5076])).
% 49.65/32.29 tff(8923,plain,
% 49.65/32.29 (m_processor_v_master(c_p1, s2)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8686, 3147, 8922])).
% 49.65/32.29 tff(8924,plain,
% 49.65/32.29 (~m_processor_v_cmd(c_p1, s2, c_idle)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[5160, 8923, 5076])).
% 49.65/32.29 tff(8925,plain,
% 49.65/32.29 (~node9(s2)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[5164, 3443, 8924])).
% 49.65/32.29 tff(8926,plain,
% 49.65/32.29 (~node17(s2)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[5171, 8923])).
% 49.65/32.29 tff(8927,plain,
% 49.65/32.29 (~m_memory_v_master(c_m, s2)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[5179, 8926])).
% 49.65/32.29 tff(8928,plain,
% 49.65/32.29 (~node29(c_m, s2)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[5187, 8927])).
% 49.65/32.29 tff(8929,plain,
% 49.65/32.29 (m_memory_v_cmd(c_m, s2, c_idle)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[5195, 8928])).
% 49.65/32.29 tff(8930,plain,
% 49.65/32.29 (~node16(s2)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[5199, 3386, 8923])).
% 49.65/32.29 tff(8931,plain,
% 49.65/32.29 (~m_processor_v_master(c_p2, s2)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[5207, 8930])).
% 49.65/32.29 tff(8932,plain,
% 49.65/32.29 (m_processor_v_cmd(c_p2, s2, c_idle)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[5260, 8931])).
% 49.65/32.29 tff(8933,plain,
% 49.65/32.29 (node10(s2)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[5329, 8932, 8929, 8925])).
% 49.65/32.29 tff(8934,plain,
% 49.65/32.29 (m_main_v_CMD(s2, c_read_h_shared)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[5320, 8933, 5076, 5133, 8923])).
% 49.65/32.29 tff(8935,plain,
% 49.65/32.29 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | (~m_main_v_CMD(s2, c_write_h_resp_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~m_main_v_CMD(s2, c_write_h_resp_h_invalid)))),
% 49.65/32.29 inference(rewrite,[status(thm)],[])).
% 49.65/32.29 tff(8936,plain,
% 49.65/32.29 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | (~m_main_v_CMD(s2, c_write_h_resp_h_invalid)))),
% 49.65/32.29 inference(quant_inst,[status(thm)],[])).
% 49.65/32.29 tff(8937,plain,
% 49.65/32.29 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~m_main_v_CMD(s2, c_write_h_resp_h_invalid))),
% 49.65/32.29 inference(modus_ponens,[status(thm)],[8936, 8935])).
% 49.65/32.29 tff(8938,plain,
% 49.65/32.29 (~m_main_v_CMD(s2, c_write_h_resp_h_invalid)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8937, 7915, 8934])).
% 49.65/32.29 tff(8939,plain,
% 49.65/32.29 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | (~m_main_v_CMD(s2, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~m_main_v_CMD(s2, c_write_h_resp_h_shared)))),
% 49.65/32.29 inference(rewrite,[status(thm)],[])).
% 49.65/32.29 tff(8940,plain,
% 49.65/32.29 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | (~m_main_v_CMD(s2, c_write_h_resp_h_shared)))),
% 49.65/32.29 inference(quant_inst,[status(thm)],[])).
% 49.65/32.29 tff(8941,plain,
% 49.65/32.29 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~m_main_v_CMD(s2, c_write_h_resp_h_shared))),
% 49.65/32.29 inference(modus_ponens,[status(thm)],[8940, 8939])).
% 49.65/32.29 tff(8942,plain,
% 49.65/32.29 (~m_main_v_CMD(s2, c_write_h_resp_h_shared)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8941, 7902, 8934])).
% 49.65/32.29 tff(8943,plain,
% 49.65/32.29 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p0, s2, c_idle)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p0, s2, c_idle)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_shared)))),
% 49.65/32.29 inference(rewrite,[status(thm)],[])).
% 49.65/32.29 tff(8944,plain,
% 49.65/32.29 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p0, s2, c_idle)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_shared)))),
% 49.65/32.29 inference(quant_inst,[status(thm)],[])).
% 49.65/32.29 tff(8945,plain,
% 49.65/32.29 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p0, s2, c_idle)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_shared))),
% 49.65/32.29 inference(modus_ponens,[status(thm)],[8944, 8943])).
% 49.65/32.29 tff(8946,plain,
% 49.65/32.29 (~m_processor_v_cmd(c_p0, s2, c_read_h_shared)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8945, 3200, 5322])).
% 49.65/32.29 tff(8947,plain,
% 49.65/32.29 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | (~node8(s2)) | m_processor_v_cmd(c_p0, s2, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~node8(s2)) | m_processor_v_cmd(c_p0, s2, c_read_h_shared))),
% 49.65/32.29 inference(rewrite,[status(thm)],[])).
% 49.65/32.29 tff(8948,plain,
% 49.65/32.29 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | (~node8(s2)) | m_processor_v_cmd(c_p0, s2, c_read_h_shared))),
% 49.65/32.29 inference(quant_inst,[status(thm)],[])).
% 49.65/32.29 tff(8949,plain,
% 49.65/32.29 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~node8(s2)) | m_processor_v_cmd(c_p0, s2, c_read_h_shared)),
% 49.65/32.29 inference(modus_ponens,[status(thm)],[8948, 8947])).
% 49.65/32.29 tff(8950,plain,
% 49.65/32.29 ((~m_main_v_CMD(s2, c_read_h_shared)) | (~node8(s2))),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8949, 2191, 8946])).
% 49.65/32.29 tff(8951,plain,
% 49.65/32.29 (~node8(s2)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8950, 8934])).
% 49.65/32.29 tff(8952,plain,
% 49.65/32.29 (^[X: $i] : refl(((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid))) <=> ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid))))),
% 49.65/32.29 inference(bind,[status(th)],[])).
% 49.65/32.29 tff(8953,plain,
% 49.65/32.29 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))),
% 49.65/32.29 inference(quant_intro,[status(thm)],[8952])).
% 49.65/32.29 tff(8954,plain,
% 49.65/32.29 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))),
% 49.65/32.29 inference(rewrite,[status(thm)],[])).
% 49.65/32.29 tff(8955,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_11')).
% 49.65/32.29 tff(8956,plain,
% 49.65/32.29 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))),
% 49.65/32.29 inference(modus_ponens,[status(thm)],[8955, 8954])).
% 49.65/32.29 tff(8957,plain,(
% 49.65/32.29 ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))),
% 49.65/32.29 inference(skolemize,[status(sab)],[8956])).
% 49.65/32.29 tff(8958,plain,
% 49.65/32.29 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))),
% 49.65/32.29 inference(modus_ponens,[status(thm)],[8957, 8953])).
% 49.65/32.29 tff(8959,plain,
% 49.65/32.29 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | (~m_main_v_CMD(s2, c_write_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~m_main_v_CMD(s2, c_write_h_invalid)))),
% 49.65/32.29 inference(rewrite,[status(thm)],[])).
% 49.65/32.29 tff(8960,plain,
% 49.65/32.29 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | (~m_main_v_CMD(s2, c_write_h_invalid)))),
% 49.65/32.29 inference(quant_inst,[status(thm)],[])).
% 49.65/32.29 tff(8961,plain,
% 49.65/32.29 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~m_main_v_CMD(s2, c_write_h_invalid))),
% 49.65/32.29 inference(modus_ponens,[status(thm)],[8960, 8959])).
% 49.65/32.29 tff(8962,plain,
% 49.65/32.29 (~m_main_v_CMD(s2, c_write_h_invalid)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8961, 8958, 8934])).
% 49.65/32.29 tff(8963,plain,
% 49.65/32.29 (^[X: $i] : refl(((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_shared))) <=> ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_shared))))),
% 49.65/32.29 inference(bind,[status(th)],[])).
% 49.65/32.29 tff(8964,plain,
% 49.65/32.29 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_shared)))),
% 49.65/32.29 inference(quant_intro,[status(thm)],[8963])).
% 49.65/32.29 tff(8965,plain,
% 49.65/32.29 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_shared)))),
% 49.65/32.29 inference(rewrite,[status(thm)],[])).
% 49.65/32.29 tff(8966,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_12')).
% 49.65/32.29 tff(8967,plain,
% 49.65/32.29 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_shared)))),
% 49.65/32.29 inference(modus_ponens,[status(thm)],[8966, 8965])).
% 49.65/32.29 tff(8968,plain,(
% 49.65/32.29 ![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_shared)))),
% 49.65/32.29 inference(skolemize,[status(sab)],[8967])).
% 49.65/32.29 tff(8969,plain,
% 49.65/32.29 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_shared)))),
% 49.65/32.29 inference(modus_ponens,[status(thm)],[8968, 8964])).
% 49.65/32.29 tff(8970,plain,
% 49.65/32.29 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_shared)))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | (~m_main_v_CMD(s2, c_write_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_shared)))) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~m_main_v_CMD(s2, c_write_h_shared)))),
% 49.65/32.29 inference(rewrite,[status(thm)],[])).
% 49.65/32.29 tff(8971,plain,
% 49.65/32.29 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_shared)))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | (~m_main_v_CMD(s2, c_write_h_shared)))),
% 49.65/32.29 inference(quant_inst,[status(thm)],[])).
% 49.65/32.29 tff(8972,plain,
% 49.65/32.29 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_shared)))) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~m_main_v_CMD(s2, c_write_h_shared))),
% 49.65/32.29 inference(modus_ponens,[status(thm)],[8971, 8970])).
% 49.65/32.29 tff(8973,plain,
% 49.65/32.29 (~m_main_v_CMD(s2, c_write_h_shared)),
% 49.65/32.29 inference(unit_resolution,[status(thm)],[8972, 8969, 8934])).
% 49.65/32.29 tff(8974,assumption,(m_processor_v_CMD(c_p1, s2, c_write_h_shared)), introduced(assumption)).
% 49.65/32.29 tff(8975,assumption,(~m_main_v_CMD(s2, c_write_h_shared)), introduced(assumption)).
% 49.65/32.29 tff(8976,plain,
% 49.65/32.29 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s2, c_write_h_shared) | (~node3(s2)) | (~m_processor_v_CMD(c_p1, s2, c_write_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s2, c_write_h_shared) | (~node3(s2)) | (~m_processor_v_CMD(c_p1, s2, c_write_h_shared)))),
% 49.65/32.29 inference(rewrite,[status(thm)],[])).
% 49.65/32.29 tff(8977,plain,
% 49.65/32.29 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s2, c_write_h_shared) | (~node3(s2)) | (~m_processor_v_CMD(c_p1, s2, c_write_h_shared)))),
% 49.65/32.29 inference(quant_inst,[status(thm)],[])).
% 49.65/32.29 tff(8978,plain,
% 49.65/32.29 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s2, c_write_h_shared) | (~node3(s2)) | (~m_processor_v_CMD(c_p1, s2, c_write_h_shared))),
% 49.65/32.30 inference(modus_ponens,[status(thm)],[8977, 8976])).
% 49.65/32.30 tff(8979,plain,
% 49.65/32.30 ($false),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[8978, 1260, 5290, 8975, 8974])).
% 49.65/32.30 tff(8980,plain,((~m_processor_v_CMD(c_p1, s2, c_write_h_shared)) | m_main_v_CMD(s2, c_write_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.30 tff(8981,plain,
% 49.65/32.30 (~m_processor_v_CMD(c_p1, s2, c_write_h_shared)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[8980, 8973])).
% 49.65/32.30 tff(8982,plain,
% 49.65/32.30 (m_processor_v_master(c_p1, s2)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[8686, 3147, 5656])).
% 49.65/32.30 tff(8983,plain,
% 49.65/32.30 (~node16(s2)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[5199, 3386, 5151])).
% 49.65/32.30 tff(8984,plain,
% 49.65/32.30 (~m_processor_v_master(c_p2, s2)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[5207, 8983])).
% 49.65/32.30 tff(8985,plain,
% 49.65/32.30 (m_processor_v_cmd(c_p2, s2, c_idle)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[5260, 8984])).
% 49.65/32.30 tff(8986,assumption,(~node10(s2)), introduced(assumption)).
% 49.65/32.30 tff(8987,plain,
% 49.65/32.30 (~node17(s2)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[5169, 3344, 5151])).
% 49.65/32.30 tff(8988,plain,
% 49.65/32.30 (~m_memory_v_master(c_m, s2)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[5179, 8987])).
% 49.65/32.30 tff(8989,plain,
% 49.65/32.30 (~node29(c_m, s2)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[5187, 8988])).
% 49.65/32.30 tff(8990,plain,
% 49.65/32.30 (m_memory_v_cmd(c_m, s2, c_idle)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[5195, 8989])).
% 49.65/32.30 tff(8991,plain,
% 49.65/32.30 (~m_processor_v_master(c_p0, s2)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[5596, 5566])).
% 49.65/32.30 tff(8992,plain,
% 49.65/32.30 (m_processor_v_cmd(c_p0, s2, c_idle)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[5366, 8991])).
% 49.65/32.30 tff(8993,plain,
% 49.65/32.30 (node9(s2) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_memory_v_cmd(c_m, s2, c_idle)) | node10(s2)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[5328, 3461, 8992])).
% 49.65/32.30 tff(8994,plain,
% 49.65/32.30 (node9(s2)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[8993, 8990, 8986, 8985])).
% 49.65/32.30 tff(8995,plain,
% 49.65/32.30 (~m_processor_v_cmd(c_p1, s2, c_idle)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[5594, 8990, 5566, 8985])).
% 49.65/32.30 tff(8996,plain,
% 49.65/32.30 ($false),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[5164, 3443, 8995, 8994])).
% 49.65/32.30 tff(8997,plain,((~m_processor_v_master(c_p1, s2)) | node10(s2) | node8(s2)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.30 tff(8998,plain,
% 49.65/32.30 (node10(s2)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[8997, 8982, 5566])).
% 49.65/32.30 tff(8999,assumption,(~m_processor_v_CMD(c_p1, s2, c_write_h_shared)), introduced(assumption)).
% 49.65/32.30 tff(9000,plain,
% 49.65/32.30 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s3, c_owned) | (~node33(c_p1, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s3, c_owned) | (~node33(c_p1, s2, s3)))),
% 49.65/32.30 inference(rewrite,[status(thm)],[])).
% 49.65/32.30 tff(9001,plain,
% 49.65/32.30 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s3, c_owned) | (~node33(c_p1, s2, s3)))),
% 49.65/32.30 inference(quant_inst,[status(thm)],[])).
% 49.65/32.30 tff(9002,plain,
% 49.65/32.30 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s3, c_owned) | (~node33(c_p1, s2, s3))),
% 49.65/32.30 inference(modus_ponens,[status(thm)],[9001, 9000])).
% 49.65/32.30 tff(9003,plain,
% 49.65/32.30 (~node33(c_p1, s2, s3)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[9002, 399, 3147, 5656])).
% 49.65/32.30 tff(9004,assumption,(~m_main_v_CMD(s2, c_write_h_resp_h_invalid)), introduced(assumption)).
% 49.65/32.30 tff(9005,assumption,(~m_main_v_CMD(s2, c_write_h_resp_h_shared)), introduced(assumption)).
% 49.65/32.30 tff(9006,assumption,(~m_main_v_CMD(s2, c_write_h_invalid)), introduced(assumption)).
% 49.65/32.30 tff(9007,plain,
% 49.65/32.30 (~node32(c_p1, s2, s3)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[8668, 3147, 5656])).
% 49.65/32.30 tff(9008,plain,
% 49.65/32.30 (~m_processor_v_abort(c_p1, s2)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[5121, 9007])).
% 49.65/32.30 tff(9009,plain,
% 49.65/32.30 (node34(c_p1, s2, s3)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[5271, 9008, 8982])).
% 49.65/32.30 tff(9010,assumption,(~node33(c_p1, s2, s3)), introduced(assumption)).
% 49.65/32.30 tff(9011,assumption,(node34(c_p1, s2, s3)), introduced(assumption)).
% 49.65/32.30 tff(9012,plain,
% 49.65/32.30 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s2, c_write_h_resp_h_invalid) | (~node3(s2)) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s2, c_write_h_resp_h_invalid) | (~node3(s2)) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)))),
% 49.65/32.30 inference(rewrite,[status(thm)],[])).
% 49.65/32.30 tff(9013,plain,
% 49.65/32.30 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s2, c_write_h_resp_h_invalid) | (~node3(s2)) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)))),
% 49.65/32.30 inference(quant_inst,[status(thm)],[])).
% 49.65/32.30 tff(9014,plain,
% 49.65/32.30 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s2, c_write_h_resp_h_invalid) | (~node3(s2)) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid))),
% 49.65/32.30 inference(modus_ponens,[status(thm)],[9013, 9012])).
% 49.65/32.30 tff(9015,plain,
% 49.65/32.30 (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[9014, 1260, 5290, 9004])).
% 49.65/32.30 tff(9016,plain,
% 49.65/32.30 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s2, c_write_h_resp_h_shared) | (~node3(s2)) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s2, c_write_h_resp_h_shared) | (~node3(s2)) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)))),
% 49.65/32.30 inference(rewrite,[status(thm)],[])).
% 49.65/32.30 tff(9017,plain,
% 49.65/32.30 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s2, c_write_h_resp_h_shared) | (~node3(s2)) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)))),
% 49.65/32.30 inference(quant_inst,[status(thm)],[])).
% 49.65/32.30 tff(9018,plain,
% 49.65/32.30 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s2, c_write_h_resp_h_shared) | (~node3(s2)) | (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared))),
% 49.65/32.30 inference(modus_ponens,[status(thm)],[9017, 9016])).
% 49.65/32.30 tff(9019,plain,
% 49.65/32.30 (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[9018, 1260, 5290, 9005])).
% 49.65/32.30 tff(9020,plain,
% 49.65/32.30 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s2, c_write_h_invalid) | (~node3(s2)) | (~m_processor_v_CMD(c_p1, s2, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s2, c_write_h_invalid) | (~node3(s2)) | (~m_processor_v_CMD(c_p1, s2, c_write_h_invalid)))),
% 49.65/32.30 inference(rewrite,[status(thm)],[])).
% 49.65/32.30 tff(9021,plain,
% 49.65/32.30 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s2, c_write_h_invalid) | (~node3(s2)) | (~m_processor_v_CMD(c_p1, s2, c_write_h_invalid)))),
% 49.65/32.30 inference(quant_inst,[status(thm)],[])).
% 49.65/32.30 tff(9022,plain,
% 49.65/32.30 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s2, c_write_h_invalid) | (~node3(s2)) | (~m_processor_v_CMD(c_p1, s2, c_write_h_invalid))),
% 49.65/32.30 inference(modus_ponens,[status(thm)],[9021, 9020])).
% 49.65/32.30 tff(9023,plain,
% 49.65/32.30 (~m_processor_v_CMD(c_p1, s2, c_write_h_invalid)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[9022, 1260, 5290, 9006])).
% 49.65/32.30 tff(9024,plain,
% 49.65/32.30 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared) | node33(c_p1, s2, s3) | (~node34(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared) | node33(c_p1, s2, s3) | (~node34(c_p1, s2, s3)))),
% 49.65/32.30 inference(rewrite,[status(thm)],[])).
% 49.65/32.30 tff(9025,plain,
% 49.65/32.30 ((node33(c_p1, s2, s3) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared) | node33(c_p1, s2, s3) | (~node34(c_p1, s2, s3)))),
% 49.65/32.30 inference(rewrite,[status(thm)],[])).
% 49.65/32.30 tff(9026,plain,
% 49.65/32.30 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s2, s3) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared) | node33(c_p1, s2, s3) | (~node34(c_p1, s2, s3))))),
% 49.65/32.30 inference(monotonicity,[status(thm)],[9025])).
% 49.65/32.30 tff(9027,plain,
% 49.65/32.30 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s2, s3) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared) | node33(c_p1, s2, s3) | (~node34(c_p1, s2, s3)))),
% 49.65/32.30 inference(transitivity,[status(thm)],[9026, 9024])).
% 49.65/32.30 tff(9028,plain,
% 49.65/32.30 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s2, s3) | (~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared))),
% 49.65/32.30 inference(quant_inst,[status(thm)],[])).
% 49.65/32.30 tff(9029,plain,
% 49.65/32.30 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared) | node33(c_p1, s2, s3) | (~node34(c_p1, s2, s3))),
% 49.65/32.30 inference(modus_ponens,[status(thm)],[9028, 9027])).
% 49.65/32.30 tff(9030,plain,
% 49.65/32.30 (m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_write_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared) | node33(c_p1, s2, s3)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[9029, 474, 9011])).
% 49.65/32.30 tff(9031,plain,
% 49.65/32.30 ($false),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[9030, 9023, 9019, 5393, 5285, 8999, 9010, 9015])).
% 49.65/32.30 tff(9032,plain,(m_main_v_CMD(s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_read_h_owned) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | node33(c_p1, s2, s3) | (~node34(c_p1, s2, s3)) | m_main_v_CMD(s2, c_write_h_invalid) | m_main_v_CMD(s2, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.30 tff(9033,plain,
% 49.65/32.30 (m_processor_v_CMD(c_p1, s2, c_read_h_owned)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[9032, 5285, 9006, 9005, 9011, 9004, 9010, 8999])).
% 49.65/32.30 tff(9034,plain,
% 49.65/32.30 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | (m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~node34(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~node34(c_p1, s2, s3)))),
% 49.65/32.30 inference(rewrite,[status(thm)],[])).
% 49.65/32.30 tff(9035,plain,
% 49.65/32.30 (((~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned))) <=> (m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~node34(c_p1, s2, s3)))),
% 49.65/32.30 inference(rewrite,[status(thm)],[])).
% 49.65/32.30 tff(9036,plain,
% 49.65/32.30 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | (m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~node34(c_p1, s2, s3))))),
% 49.65/32.30 inference(monotonicity,[status(thm)],[9035])).
% 49.65/32.30 tff(9037,plain,
% 49.65/32.30 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~node34(c_p1, s2, s3)))),
% 49.65/32.30 inference(transitivity,[status(thm)],[9036, 9034])).
% 49.65/32.30 tff(9038,plain,
% 49.65/32.30 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p1, s2, s3)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)))),
% 49.65/32.30 inference(quant_inst,[status(thm)],[])).
% 49.65/32.30 tff(9039,plain,
% 49.65/32.30 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~node34(c_p1, s2, s3))),
% 49.65/32.30 inference(modus_ponens,[status(thm)],[9038, 9037])).
% 49.65/32.30 tff(9040,plain,
% 49.65/32.30 (m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned))),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[9039, 1864, 9011, 5656])).
% 49.65/32.30 tff(9041,plain,
% 49.65/32.30 ($false),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[9040, 9033, 5285])).
% 49.65/32.30 tff(9042,plain,(m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~node34(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_owned) | m_main_v_CMD(s2, c_write_h_invalid) | m_main_v_CMD(s2, c_write_h_resp_h_shared) | m_main_v_CMD(s2, c_write_h_resp_h_invalid) | node33(c_p1, s2, s3) | m_processor_v_CMD(c_p1, s2, c_write_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.30 tff(9043,plain,
% 49.65/32.30 (m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[9042, 9009, 5656, 9006, 9005, 9004, 9003, 8999])).
% 49.65/32.30 tff(9044,plain,
% 49.65/32.30 (m_main_v_CMD(s2, c_read_h_shared)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[8791, 9043])).
% 49.65/32.30 tff(9045,plain,
% 49.65/32.30 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~node10(s2)) | m_processor_v_cmd(c_p1, s2, c_read_h_shared) | (~m_main_v_CMD(s2, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s2)) | m_processor_v_cmd(c_p1, s2, c_read_h_shared) | (~m_main_v_CMD(s2, c_read_h_shared)))),
% 49.65/32.30 inference(rewrite,[status(thm)],[])).
% 49.65/32.30 tff(9046,plain,
% 49.65/32.30 (((~m_main_v_CMD(s2, c_read_h_shared)) | (~node10(s2)) | m_processor_v_cmd(c_p1, s2, c_read_h_shared)) <=> ((~node10(s2)) | m_processor_v_cmd(c_p1, s2, c_read_h_shared) | (~m_main_v_CMD(s2, c_read_h_shared)))),
% 49.65/32.30 inference(rewrite,[status(thm)],[])).
% 49.65/32.30 tff(9047,plain,
% 49.65/32.30 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | (~node10(s2)) | m_processor_v_cmd(c_p1, s2, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~node10(s2)) | m_processor_v_cmd(c_p1, s2, c_read_h_shared) | (~m_main_v_CMD(s2, c_read_h_shared))))),
% 49.65/32.30 inference(monotonicity,[status(thm)],[9046])).
% 49.65/32.30 tff(9048,plain,
% 49.65/32.30 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | (~node10(s2)) | m_processor_v_cmd(c_p1, s2, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s2)) | m_processor_v_cmd(c_p1, s2, c_read_h_shared) | (~m_main_v_CMD(s2, c_read_h_shared)))),
% 49.65/32.30 inference(transitivity,[status(thm)],[9047, 9045])).
% 49.65/32.30 tff(9049,plain,
% 49.65/32.30 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | (~node10(s2)) | m_processor_v_cmd(c_p1, s2, c_read_h_shared))),
% 49.65/32.30 inference(quant_inst,[status(thm)],[])).
% 49.65/32.30 tff(9050,plain,
% 49.65/32.30 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s2)) | m_processor_v_cmd(c_p1, s2, c_read_h_shared) | (~m_main_v_CMD(s2, c_read_h_shared))),
% 49.65/32.30 inference(modus_ponens,[status(thm)],[9049, 9048])).
% 49.65/32.30 tff(9051,plain,
% 49.65/32.30 (m_processor_v_cmd(c_p1, s2, c_read_h_shared)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[9050, 3512, 9044, 8998])).
% 49.65/32.30 tff(9052,plain,
% 49.65/32.30 (~m_processor_v_state(c_p1, s2, c_invalid)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[5488, 137, 3147])).
% 49.65/32.30 tff(9053,assumption,(node62(c_p1, s2)), introduced(assumption)).
% 49.65/32.30 tff(9054,plain,
% 49.65/32.30 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p1, s2, c_invalid) | (~node62(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p1, s2, c_invalid) | (~node62(c_p1, s2)))),
% 49.65/32.30 inference(rewrite,[status(thm)],[])).
% 49.65/32.30 tff(9055,plain,
% 49.65/32.30 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p1, s2, c_invalid) | (~node62(c_p1, s2)))),
% 49.65/32.30 inference(quant_inst,[status(thm)],[])).
% 49.65/32.30 tff(9056,plain,
% 49.65/32.30 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p1, s2, c_invalid) | (~node62(c_p1, s2))),
% 49.65/32.30 inference(modus_ponens,[status(thm)],[9055, 9054])).
% 49.65/32.30 tff(9057,plain,
% 49.65/32.30 ($false),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[9056, 1633, 2781, 9053])).
% 49.65/32.30 tff(9058,plain,((~node62(c_p1, s2)) | m_processor_v_state(c_p1, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.30 tff(9059,plain,
% 49.65/32.30 (~node62(c_p1, s2)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[9058, 9052])).
% 49.65/32.30 tff(9060,assumption,(node63(c_p1, s2)), introduced(assumption)).
% 49.65/32.30 tff(9061,plain,
% 49.65/32.30 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p1, s2, c_shared) | (~node63(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p1, s2, c_shared) | (~node63(c_p1, s2)))),
% 49.65/32.30 inference(rewrite,[status(thm)],[])).
% 49.65/32.30 tff(9062,plain,
% 49.65/32.30 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p1, s2, c_shared) | (~node63(c_p1, s2)))),
% 49.65/32.30 inference(quant_inst,[status(thm)],[])).
% 49.65/32.30 tff(9063,plain,
% 49.65/32.30 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p1, s2, c_shared) | (~node63(c_p1, s2))),
% 49.65/32.30 inference(modus_ponens,[status(thm)],[9062, 9061])).
% 49.65/32.30 tff(9064,plain,
% 49.65/32.30 ($false),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[9063, 1809, 3110, 9060])).
% 49.65/32.30 tff(9065,plain,((~node63(c_p1, s2)) | m_processor_v_state(c_p1, s2, c_shared)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.30 tff(9066,plain,
% 49.65/32.30 (~node63(c_p1, s2)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[9065, 8676])).
% 49.65/32.30 tff(9067,plain,
% 49.65/32.30 (~node16(s2)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[5199, 3386, 8982])).
% 49.65/32.30 tff(9068,plain,
% 49.65/32.30 (~m_processor_v_master(c_p2, s2)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[5207, 9067])).
% 49.65/32.30 tff(9069,plain,
% 49.65/32.30 (m_processor_v_cmd(c_p2, s2, c_idle)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[5260, 9068])).
% 49.65/32.30 tff(9070,plain,
% 49.65/32.30 (~node17(s2)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[5169, 3344, 8982])).
% 49.65/32.30 tff(9071,plain,
% 49.65/32.30 (~m_memory_v_master(c_m, s2)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[5179, 9070])).
% 49.65/32.30 tff(9072,plain,
% 49.65/32.30 (~node29(c_m, s2)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[5187, 9071])).
% 49.65/32.30 tff(9073,plain,
% 49.65/32.30 (m_memory_v_cmd(c_m, s2, c_idle)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[5195, 9072])).
% 49.65/32.30 tff(9074,plain,
% 49.65/32.30 (~m_processor_v_cmd(c_p1, s2, c_idle)),
% 49.65/32.30 inference(unit_resolution,[status(thm)],[5594, 9073, 5566, 9069])).
% 49.65/32.30 tff(9075,plain,
% 49.65/32.30 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_shared)) | m_main_v_CMD(s2, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_shared)) | m_main_v_CMD(s2, c_write_h_resp_h_shared))),
% 49.65/32.30 inference(rewrite,[status(thm)],[])).
% 49.65/32.30 tff(9076,plain,
% 49.65/32.30 ((m_main_v_CMD(s2, c_write_h_resp_h_shared) | (~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_shared))) <=> ((~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_shared)) | m_main_v_CMD(s2, c_write_h_resp_h_shared))),
% 49.65/32.30 inference(rewrite,[status(thm)],[])).
% 49.65/32.30 tff(9077,plain,
% 49.65/32.30 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s2, c_write_h_resp_h_shared) | (~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_shared)) | m_main_v_CMD(s2, c_write_h_resp_h_shared)))),
% 49.65/32.30 inference(monotonicity,[status(thm)],[9076])).
% 49.65/32.30 tff(9078,plain,
% 49.65/32.30 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s2, c_write_h_resp_h_shared) | (~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_shared)) | m_main_v_CMD(s2, c_write_h_resp_h_shared))),
% 49.65/32.30 inference(transitivity,[status(thm)],[9077, 9075])).
% 49.65/32.30 tff(9079,plain,
% 49.65/32.30 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s2, c_write_h_resp_h_shared) | (~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_shared)))),
% 49.65/32.30 inference(quant_inst,[status(thm)],[])).
% 49.65/32.30 tff(9080,plain,
% 49.65/32.30 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_shared)) | m_main_v_CMD(s2, c_write_h_resp_h_shared)),
% 49.65/32.30 inference(modus_ponens,[status(thm)],[9079, 9078])).
% 49.65/32.30 tff(9081,plain,
% 49.65/32.30 ((~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_shared))),
% 49.65/32.31 inference(unit_resolution,[status(thm)],[9080, 3481, 9005])).
% 49.65/32.31 tff(9082,plain,
% 49.65/32.31 (~m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_shared)),
% 49.65/32.31 inference(unit_resolution,[status(thm)],[9081, 8998])).
% 49.65/32.31 tff(9083,assumption,(m_processor_v_cmd(c_p1, s2, c_write_h_invalid)), introduced(assumption)).
% 49.65/32.31 tff(9084,plain,
% 49.65/32.31 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~m_processor_v_cmd(c_p1, s2, c_write_h_invalid)) | (~node10(s2)) | m_main_v_CMD(s2, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~m_processor_v_cmd(c_p1, s2, c_write_h_invalid)) | (~node10(s2)) | m_main_v_CMD(s2, c_write_h_invalid))),
% 49.65/32.31 inference(rewrite,[status(thm)],[])).
% 49.65/32.31 tff(9085,plain,
% 49.65/32.31 ((m_main_v_CMD(s2, c_write_h_invalid) | (~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_write_h_invalid))) <=> ((~m_processor_v_cmd(c_p1, s2, c_write_h_invalid)) | (~node10(s2)) | m_main_v_CMD(s2, c_write_h_invalid))),
% 49.65/32.31 inference(rewrite,[status(thm)],[])).
% 49.65/32.31 tff(9086,plain,
% 49.65/32.31 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s2, c_write_h_invalid) | (~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~m_processor_v_cmd(c_p1, s2, c_write_h_invalid)) | (~node10(s2)) | m_main_v_CMD(s2, c_write_h_invalid)))),
% 49.65/32.31 inference(monotonicity,[status(thm)],[9085])).
% 49.65/32.31 tff(9087,plain,
% 49.65/32.31 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s2, c_write_h_invalid) | (~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~m_processor_v_cmd(c_p1, s2, c_write_h_invalid)) | (~node10(s2)) | m_main_v_CMD(s2, c_write_h_invalid))),
% 49.65/32.31 inference(transitivity,[status(thm)],[9086, 9084])).
% 49.65/32.31 tff(9088,plain,
% 49.65/32.31 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s2, c_write_h_invalid) | (~node10(s2)) | (~m_processor_v_cmd(c_p1, s2, c_write_h_invalid)))),
% 49.65/32.31 inference(quant_inst,[status(thm)],[])).
% 49.65/32.31 tff(9089,plain,
% 49.65/32.31 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~m_processor_v_cmd(c_p1, s2, c_write_h_invalid)) | (~node10(s2)) | m_main_v_CMD(s2, c_write_h_invalid)),
% 49.65/32.31 inference(modus_ponens,[status(thm)],[9088, 9087])).
% 49.65/32.31 tff(9090,plain,
% 49.65/32.31 ($false),
% 49.65/32.31 inference(unit_resolution,[status(thm)],[9089, 3481, 9083, 9006, 5300])).
% 49.65/32.31 tff(9091,plain,(m_main_v_CMD(s2, c_write_h_invalid) | (~m_processor_v_cmd(c_p1, s2, c_write_h_invalid)) | (~node10(s2))), inference(lemma,lemma(discharge,[]))).
% 49.65/32.31 tff(9092,plain,
% 49.65/32.31 (~m_processor_v_cmd(c_p1, s2, c_write_h_invalid)),
% 49.65/32.31 inference(unit_resolution,[status(thm)],[9091, 8998, 9006])).
% 49.65/32.31 tff(9093,assumption,(~m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_shared)), introduced(assumption)).
% 49.65/32.31 tff(9094,plain,
% 49.65/32.31 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_shared) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2) | (~m_processor_v_snoop(c_p1, s2, c_shared)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_shared) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2) | (~m_processor_v_snoop(c_p1, s2, c_shared)))),
% 49.65/32.31 inference(rewrite,[status(thm)],[])).
% 49.65/32.31 tff(9095,plain,
% 49.65/32.31 ((m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s2, c_shared)) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_master(c_p1, s2)) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2)) <=> ((~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_shared) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2) | (~m_processor_v_snoop(c_p1, s2, c_shared)))),
% 49.65/32.31 inference(rewrite,[status(thm)],[])).
% 49.65/32.31 tff(9096,plain,
% 49.65/32.31 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s2, c_shared)) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_master(c_p1, s2)) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_shared) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2) | (~m_processor_v_snoop(c_p1, s2, c_shared))))),
% 49.65/32.31 inference(monotonicity,[status(thm)],[9095])).
% 49.65/32.31 tff(9097,plain,
% 49.65/32.31 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s2, c_shared)) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_master(c_p1, s2)) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_shared) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2) | (~m_processor_v_snoop(c_p1, s2, c_shared)))),
% 49.65/32.31 inference(transitivity,[status(thm)],[9096, 9094])).
% 49.65/32.31 tff(9098,plain,
% 49.65/32.31 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s2, c_shared)) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_master(c_p1, s2)) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2))),
% 49.65/32.31 inference(quant_inst,[status(thm)],[])).
% 49.65/32.31 tff(9099,plain,
% 49.65/32.31 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_shared) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2) | (~m_processor_v_snoop(c_p1, s2, c_shared))),
% 49.65/32.31 inference(modus_ponens,[status(thm)],[9098, 9097])).
% 49.65/32.31 tff(9100,plain,
% 49.65/32.31 ((~m_processor_v_master(c_p1, s2)) | m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_shared) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2) | (~m_processor_v_snoop(c_p1, s2, c_shared))),
% 49.65/32.31 inference(unit_resolution,[status(thm)],[9099, 7256, 3147])).
% 49.65/32.31 tff(9101,plain,
% 49.65/32.31 (~m_processor_v_snoop(c_p1, s2, c_shared)),
% 49.65/32.31 inference(unit_resolution,[status(thm)],[9100, 5551, 9059, 5552, 5151, 9093])).
% 49.65/32.31 tff(9102,assumption,(~m_processor_v_cmd(c_p1, s2, c_write_h_invalid)), introduced(assumption)).
% 49.65/32.31 tff(9103,plain,
% 49.65/32.31 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_cmd(c_p1, s2, c_write_h_invalid) | node65(c_p1, s2) | (~m_processor_v_master(c_p1, s2)) | node62(c_p1, s2) | node63(c_p1, s2) | (~m_processor_v_snoop(c_p1, s2, c_invalid)) | node64(c_p1, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_cmd(c_p1, s2, c_write_h_invalid) | node65(c_p1, s2) | (~m_processor_v_master(c_p1, s2)) | node62(c_p1, s2) | node63(c_p1, s2) | (~m_processor_v_snoop(c_p1, s2, c_invalid)) | node64(c_p1, s2))),
% 49.65/32.31 inference(rewrite,[status(thm)],[])).
% 49.65/32.31 tff(9104,plain,
% 49.65/32.31 ((m_processor_v_cmd(c_p1, s2, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s2, c_invalid)) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_master(c_p1, s2)) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2) | node65(c_p1, s2)) <=> ((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_cmd(c_p1, s2, c_write_h_invalid) | node65(c_p1, s2) | (~m_processor_v_master(c_p1, s2)) | node62(c_p1, s2) | node63(c_p1, s2) | (~m_processor_v_snoop(c_p1, s2, c_invalid)) | node64(c_p1, s2))),
% 49.65/32.31 inference(rewrite,[status(thm)],[])).
% 49.65/32.31 tff(9105,plain,
% 49.65/32.31 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p1, s2, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s2, c_invalid)) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_master(c_p1, s2)) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2) | node65(c_p1, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_cmd(c_p1, s2, c_write_h_invalid) | node65(c_p1, s2) | (~m_processor_v_master(c_p1, s2)) | node62(c_p1, s2) | node63(c_p1, s2) | (~m_processor_v_snoop(c_p1, s2, c_invalid)) | node64(c_p1, s2)))),
% 49.65/32.31 inference(monotonicity,[status(thm)],[9104])).
% 49.65/32.31 tff(9106,plain,
% 49.65/32.31 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p1, s2, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s2, c_invalid)) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_master(c_p1, s2)) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2) | node65(c_p1, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_cmd(c_p1, s2, c_write_h_invalid) | node65(c_p1, s2) | (~m_processor_v_master(c_p1, s2)) | node62(c_p1, s2) | node63(c_p1, s2) | (~m_processor_v_snoop(c_p1, s2, c_invalid)) | node64(c_p1, s2))),
% 49.65/32.31 inference(transitivity,[status(thm)],[9105, 9103])).
% 49.65/32.31 tff(9107,plain,
% 49.65/32.31 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p1, s2, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s2, c_invalid)) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_master(c_p1, s2)) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2) | node65(c_p1, s2))),
% 49.65/32.31 inference(quant_inst,[status(thm)],[])).
% 49.65/32.31 tff(9108,plain,
% 49.65/32.31 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_cmd(c_p1, s2, c_write_h_invalid) | node65(c_p1, s2) | (~m_processor_v_master(c_p1, s2)) | node62(c_p1, s2) | node63(c_p1, s2) | (~m_processor_v_snoop(c_p1, s2, c_invalid)) | node64(c_p1, s2)),
% 49.65/32.31 inference(modus_ponens,[status(thm)],[9107, 9106])).
% 49.65/32.31 tff(9109,plain,
% 49.65/32.31 ((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_cmd(c_p1, s2, c_write_h_invalid) | node65(c_p1, s2) | node62(c_p1, s2) | node63(c_p1, s2) | (~m_processor_v_snoop(c_p1, s2, c_invalid)) | node64(c_p1, s2)),
% 49.65/32.31 inference(unit_resolution,[status(thm)],[9108, 7232, 5151])).
% 49.65/32.31 tff(9110,plain,
% 49.65/32.31 (~m_processor_v_snoop(c_p1, s2, c_invalid)),
% 49.65/32.31 inference(unit_resolution,[status(thm)],[9109, 5552, 3147, 5551, 5553, 9102, 5550])).
% 49.65/32.31 tff(9111,plain,
% 49.65/32.31 (node66(c_p1, s2)),
% 49.65/32.31 inference(unit_resolution,[status(thm)],[5562, 5552, 5541, 5553, 5551, 5550])).
% 49.65/32.31 tff(9112,plain,
% 49.65/32.31 (^[I0: $i, X: $i] : refl((m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X))) <=> (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X))))),
% 49.65/32.31 inference(bind,[status(th)],[])).
% 49.65/32.31 tff(9113,plain,
% 49.65/32.31 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))),
% 49.65/32.31 inference(quant_intro,[status(thm)],[9112])).
% 49.65/32.31 tff(9114,plain,
% 49.65/32.31 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))),
% 49.65/32.31 inference(rewrite,[status(thm)],[])).
% 49.65/32.31 tff(9115,axiom,(![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_154')).
% 49.65/32.31 tff(9116,plain,
% 49.65/32.31 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))),
% 49.65/32.31 inference(modus_ponens,[status(thm)],[9115, 9114])).
% 49.65/32.31 tff(9117,plain,(
% 49.65/32.31 ![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))),
% 49.65/32.31 inference(skolemize,[status(sab)],[9116])).
% 49.65/32.31 tff(9118,plain,
% 49.65/32.31 (![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))),
% 49.65/32.31 inference(modus_ponens,[status(thm)],[9117, 9113])).
% 49.65/32.31 tff(9119,plain,
% 49.65/32.31 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | (m_processor_v_snoop(c_p1, s2, c_invalid) | (~node66(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | m_processor_v_snoop(c_p1, s2, c_invalid) | (~node66(c_p1, s2)))),
% 49.65/32.31 inference(rewrite,[status(thm)],[])).
% 49.65/32.31 tff(9120,plain,
% 49.65/32.31 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | (m_processor_v_snoop(c_p1, s2, c_invalid) | (~node66(c_p1, s2)))),
% 49.65/32.31 inference(quant_inst,[status(thm)],[])).
% 49.65/32.31 tff(9121,plain,
% 49.65/32.31 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | m_processor_v_snoop(c_p1, s2, c_invalid) | (~node66(c_p1, s2))),
% 49.65/32.31 inference(modus_ponens,[status(thm)],[9120, 9119])).
% 49.65/32.31 tff(9122,plain,
% 49.65/32.31 ($false),
% 49.65/32.31 inference(unit_resolution,[status(thm)],[9121, 9118, 9111, 9110])).
% 49.65/32.31 tff(9123,plain,(node64(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_owned)) | node63(c_p1, s2) | node65(c_p1, s2) | m_processor_v_cmd(c_p1, s2, c_write_h_invalid) | node62(c_p1, s2) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_cmd(c_p1, s2, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.31 tff(9124,plain,
% 49.65/32.31 (node65(c_p1, s2)),
% 49.65/32.31 inference(unit_resolution,[status(thm)],[9123, 5551, 3147, 9059, 5552, 5541, 5151, 9102])).
% 49.65/32.31 tff(9125,plain,
% 49.65/32.31 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p1, s2, c_shared) | (~node65(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p1, s2, c_shared) | (~node65(c_p1, s2)))),
% 49.65/32.31 inference(rewrite,[status(thm)],[])).
% 49.65/32.31 tff(9126,plain,
% 49.65/32.31 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p1, s2, c_shared) | (~node65(c_p1, s2)))),
% 49.65/32.31 inference(quant_inst,[status(thm)],[])).
% 49.65/32.31 tff(9127,plain,
% 49.65/32.31 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p1, s2, c_shared) | (~node65(c_p1, s2))),
% 49.65/32.31 inference(modus_ponens,[status(thm)],[9126, 9125])).
% 49.65/32.31 tff(9128,plain,
% 49.65/32.31 ($false),
% 49.65/32.31 inference(unit_resolution,[status(thm)],[9127, 4107, 9124, 9101])).
% 49.65/32.31 tff(9129,plain,(node63(c_p1, s2) | (~m_processor_v_state(c_p1, s2, c_owned)) | node64(c_p1, s2) | m_processor_v_cmd(c_p1, s2, c_idle) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_cmd(c_p1, s2, c_write_h_invalid) | m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.31 tff(9130,plain,
% 49.65/32.31 (node64(c_p1, s2)),
% 49.65/32.31 inference(unit_resolution,[status(thm)],[9129, 9066, 8982, 9092, 9082, 9074, 3147])).
% 49.65/32.31 tff(9131,assumption,(~m_processor_v_snoop(c_p1, s2, c_owned)), introduced(assumption)).
% 49.65/32.31 tff(9132,assumption,(node64(c_p1, s2)), introduced(assumption)).
% 49.65/32.31 tff(9133,plain,
% 49.65/32.31 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p1, s2, c_owned) | (~node64(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p1, s2, c_owned) | (~node64(c_p1, s2)))),
% 49.65/32.31 inference(rewrite,[status(thm)],[])).
% 49.65/32.31 tff(9134,plain,
% 49.65/32.31 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p1, s2, c_owned) | (~node64(c_p1, s2)))),
% 49.65/32.31 inference(quant_inst,[status(thm)],[])).
% 49.65/32.31 tff(9135,plain,
% 49.65/32.31 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p1, s2, c_owned) | (~node64(c_p1, s2))),
% 49.65/32.31 inference(modus_ponens,[status(thm)],[9134, 9133])).
% 49.65/32.31 tff(9136,plain,
% 49.65/32.31 ($false),
% 49.65/32.31 inference(unit_resolution,[status(thm)],[9135, 4082, 9132, 9131])).
% 49.65/32.31 tff(9137,plain,(m_processor_v_snoop(c_p1, s2, c_owned) | (~node64(c_p1, s2))), inference(lemma,lemma(discharge,[]))).
% 49.65/32.31 tff(9138,plain,
% 49.65/32.31 (m_processor_v_snoop(c_p1, s2, c_owned)),
% 49.65/32.31 inference(unit_resolution,[status(thm)],[9137, 9130])).
% 49.65/32.31 tff(9139,plain,
% 49.65/32.31 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_master(c_p1, s2)) | node62(c_p1, s2) | node63(c_p1, s2) | m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s2, c_owned)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_master(c_p1, s2)) | node62(c_p1, s2) | node63(c_p1, s2) | m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s2, c_owned)))),
% 49.65/32.31 inference(rewrite,[status(thm)],[])).
% 49.65/32.31 tff(9140,plain,
% 49.65/32.31 ((m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s2, c_owned)) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_master(c_p1, s2)) | node62(c_p1, s2) | node63(c_p1, s2)) <=> ((~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_master(c_p1, s2)) | node62(c_p1, s2) | node63(c_p1, s2) | m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s2, c_owned)))),
% 49.65/32.31 inference(rewrite,[status(thm)],[])).
% 49.65/32.31 tff(9141,plain,
% 49.65/32.31 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s2, c_owned)) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_master(c_p1, s2)) | node62(c_p1, s2) | node63(c_p1, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_master(c_p1, s2)) | node62(c_p1, s2) | node63(c_p1, s2) | m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s2, c_owned))))),
% 49.65/32.31 inference(monotonicity,[status(thm)],[9140])).
% 49.65/32.31 tff(9142,plain,
% 49.65/32.31 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s2, c_owned)) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_master(c_p1, s2)) | node62(c_p1, s2) | node63(c_p1, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_master(c_p1, s2)) | node62(c_p1, s2) | node63(c_p1, s2) | m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s2, c_owned)))),
% 49.65/32.31 inference(transitivity,[status(thm)],[9141, 9139])).
% 49.65/32.31 tff(9143,plain,
% 49.65/32.31 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s2, c_owned)) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_master(c_p1, s2)) | node62(c_p1, s2) | node63(c_p1, s2))),
% 49.65/32.31 inference(quant_inst,[status(thm)],[])).
% 49.65/32.31 tff(9144,plain,
% 49.65/32.31 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_master(c_p1, s2)) | node62(c_p1, s2) | node63(c_p1, s2) | m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s2, c_owned))),
% 49.65/32.31 inference(modus_ponens,[status(thm)],[9143, 9142])).
% 49.65/32.31 tff(9145,plain,
% 49.65/32.31 (node62(c_p1, s2) | node63(c_p1, s2) | m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s2, c_owned))),
% 49.65/32.31 inference(unit_resolution,[status(thm)],[9144, 7172, 3147, 8982])).
% 49.65/32.31 tff(9146,plain,
% 49.65/32.31 (m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_invalid)),
% 49.65/32.31 inference(unit_resolution,[status(thm)],[9145, 9138, 9066, 9059])).
% 49.65/32.31 tff(9147,plain,
% 49.65/32.31 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid))) <=> ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid))))),
% 49.65/32.31 inference(bind,[status(th)],[])).
% 49.65/32.31 tff(9148,plain,
% 49.65/32.31 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))),
% 49.65/32.32 inference(quant_intro,[status(thm)],[9147])).
% 49.65/32.32 tff(9149,plain,
% 49.65/32.32 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))),
% 49.65/32.32 inference(rewrite,[status(thm)],[])).
% 49.65/32.32 tff(9150,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_13')).
% 49.65/32.32 tff(9151,plain,
% 49.65/32.32 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))),
% 49.65/32.32 inference(modus_ponens,[status(thm)],[9150, 9149])).
% 49.65/32.32 tff(9152,plain,(
% 49.65/32.32 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))),
% 49.65/32.32 inference(skolemize,[status(sab)],[9151])).
% 49.65/32.32 tff(9153,plain,
% 49.65/32.32 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))),
% 49.65/32.32 inference(modus_ponens,[status(thm)],[9152, 9148])).
% 49.65/32.32 tff(9154,plain,
% 49.65/32.32 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s2, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p1, s2, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_invalid)))),
% 49.65/32.32 inference(rewrite,[status(thm)],[])).
% 49.65/32.32 tff(9155,plain,
% 49.65/32.32 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s2, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_invalid)))),
% 49.65/32.32 inference(quant_inst,[status(thm)],[])).
% 49.65/32.32 tff(9156,plain,
% 49.65/32.32 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p1, s2, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s2, c_write_h_resp_h_invalid))),
% 49.65/32.32 inference(modus_ponens,[status(thm)],[9155, 9154])).
% 49.65/32.32 tff(9157,plain,
% 49.65/32.32 ($false),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[9156, 9153, 9146, 9051])).
% 49.65/32.32 tff(9158,plain,((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_state(c_p1, s3, c_owned) | m_main_v_CMD(s2, c_write_h_invalid) | m_main_v_CMD(s2, c_write_h_resp_h_shared) | m_main_v_CMD(s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | node8(s2)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.32 tff(9159,plain,
% 49.65/32.32 ($false),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[9158, 8981, 8962, 8922, 3147, 8951, 8942, 8938])).
% 49.65/32.32 tff(9160,plain,((~m_processor_v_state(c_p1, s2, c_owned)) | (~m_processor_v_state(c_p1, s2, c_invalid)) | m_main_v_CMD(s2, c_read_h_owned) | (~m_processor_v_cmd(c_p0, s2, c_idle))), inference(lemma,lemma(discharge,[]))).
% 49.65/32.32 tff(9161,plain,
% 49.65/32.32 (~m_processor_v_cmd(c_p0, s2, c_idle)),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[9160, 3147, 5133, 5076])).
% 49.65/32.32 tff(9162,plain,
% 49.65/32.32 (m_processor_v_master(c_p0, s2)),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[5366, 9161])).
% 49.65/32.32 tff(9163,plain,
% 49.65/32.32 ($false),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[5370, 794, 9162, 8923])).
% 49.65/32.32 tff(9164,plain,((~m_processor_v_state(c_p1, s2, c_owned)) | m_main_v_CMD(s2, c_read_h_owned) | (~m_processor_v_state(c_p1, s2, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 49.65/32.32 tff(9165,plain,
% 49.65/32.32 (~m_processor_v_state(c_p1, s2, c_invalid)),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[9164, 8921, 5133])).
% 49.65/32.32 tff(9166,plain,
% 49.65/32.32 (m_processor_v_state(c_p0, s2, c_invalid)),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[5047, 8921, 9165])).
% 49.65/32.32 tff(9167,plain,
% 49.65/32.32 (~m_processor_v_state(c_p0, s2, c_owned)),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[2779, 137, 9166])).
% 49.65/32.32 tff(9168,plain,
% 49.65/32.32 (~m_processor_v_state(c_p0, s2, c_shared)),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[8392, 9166])).
% 49.65/32.32 tff(9169,plain,
% 49.65/32.32 (~node56(c_p0, s2)),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[5742, 9167])).
% 49.65/32.32 tff(9170,plain,
% 49.65/32.32 (~m_processor_v_writable(c_p0, s2)),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[5735, 9169])).
% 49.65/32.32 tff(9171,plain,
% 49.65/32.32 (~node67(s2)),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[5727, 43, 9170])).
% 49.65/32.32 tff(9172,plain,
% 49.65/32.32 (node67(s3)),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[6250, 9171, 5932, 5949, 5668, 5669, 5667, 5670])).
% 49.65/32.32 tff(9173,plain,
% 49.65/32.32 (m_processor_v_writable(c_p0, s3)),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[2629, 43, 9172])).
% 49.65/32.32 tff(9174,plain,
% 49.65/32.32 (node56(c_p0, s3)),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[2637, 28, 9173])).
% 49.65/32.32 tff(9175,plain,
% 49.65/32.32 (m_processor_v_state(c_p0, s3, c_owned)),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[2650, 9174])).
% 49.65/32.32 tff(9176,plain,
% 49.65/32.32 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[2665, 137, 9175])).
% 49.65/32.32 tff(9177,plain,
% 49.65/32.32 (m_processor_v_state(c_p0, s3, c_owned)),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[8835, 2622, 5949, 5669, 5668, 5670, 5667, 5932])).
% 49.65/32.32 tff(9178,plain,
% 49.65/32.32 ($false),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[2775, 9177, 2622, 2667])).
% 49.65/32.32 tff(9179,plain,(m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s2, c_owned) | node67(s9) | node67(s5) | node67(s6) | node67(s4) | node67(s7) | node67(s8)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.32 tff(9180,plain,
% 49.65/32.32 (m_processor_v_master(c_p0, s2)),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[9179, 9167, 5949, 5669, 5668, 5670, 5667, 5932])).
% 49.65/32.32 tff(9181,plain,
% 49.65/32.32 (m_main_v_CMD(s2, c_read_h_shared)),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[5621, 9180, 5133, 9166])).
% 49.65/32.32 tff(9182,plain,
% 49.65/32.32 (~m_main_v_CMD(s2, c_write_h_resp_h_invalid)),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[8937, 7915, 9181])).
% 49.65/32.32 tff(9183,assumption,(m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)), introduced(assumption)).
% 49.65/32.32 tff(9184,plain,
% 49.65/32.32 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s2, c_write_h_resp_h_invalid) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s2, c_write_h_resp_h_invalid) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)))),
% 49.65/32.32 inference(rewrite,[status(thm)],[])).
% 49.65/32.32 tff(9185,plain,
% 49.65/32.32 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s2, c_write_h_resp_h_invalid) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)))),
% 49.65/32.32 inference(quant_inst,[status(thm)],[])).
% 49.65/32.32 tff(9186,plain,
% 49.65/32.32 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s2, c_write_h_resp_h_invalid) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid))),
% 49.65/32.32 inference(modus_ponens,[status(thm)],[9185, 9184])).
% 49.65/32.32 tff(9187,plain,
% 49.65/32.32 ($false),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[9186, 1612, 5518, 9004, 9183])).
% 49.65/32.32 tff(9188,plain,((~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)) | m_main_v_CMD(s2, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.32 tff(9189,plain,
% 49.65/32.32 (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[9188, 9182])).
% 49.65/32.32 tff(9190,plain,
% 49.65/32.32 (~m_processor_v_state(c_p0, s3, c_shared)),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[2661, 9175])).
% 49.65/32.32 tff(9191,plain,
% 49.65/32.32 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s2, c_read_h_owned) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s2, c_read_h_owned) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)))),
% 49.65/32.32 inference(rewrite,[status(thm)],[])).
% 49.65/32.32 tff(9192,plain,
% 49.65/32.32 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s2, c_read_h_owned) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)))),
% 49.65/32.32 inference(quant_inst,[status(thm)],[])).
% 49.65/32.32 tff(9193,plain,
% 49.65/32.32 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s2, c_read_h_owned) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned))),
% 49.65/32.32 inference(modus_ponens,[status(thm)],[9192, 9191])).
% 49.65/32.32 tff(9194,plain,
% 49.65/32.32 (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[9193, 1612, 5518, 5133])).
% 49.65/32.32 tff(9195,plain,
% 49.65/32.32 (~m_main_v_CMD(s2, c_write_h_invalid)),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[8961, 8958, 9181])).
% 49.65/32.32 tff(9196,assumption,(m_processor_v_CMD(c_p0, s2, c_write_h_invalid)), introduced(assumption)).
% 49.65/32.32 tff(9197,plain,
% 49.65/32.32 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s2, c_write_h_invalid) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s2, c_write_h_invalid) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_invalid)))),
% 49.65/32.32 inference(rewrite,[status(thm)],[])).
% 49.65/32.32 tff(9198,plain,
% 49.65/32.32 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s2, c_write_h_invalid) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_invalid)))),
% 49.65/32.32 inference(quant_inst,[status(thm)],[])).
% 49.65/32.32 tff(9199,plain,
% 49.65/32.32 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s2, c_write_h_invalid) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_invalid))),
% 49.65/32.32 inference(modus_ponens,[status(thm)],[9198, 9197])).
% 49.65/32.32 tff(9200,plain,
% 49.65/32.32 ($false),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[9199, 1612, 5518, 9006, 9196])).
% 49.65/32.32 tff(9201,plain,((~m_processor_v_CMD(c_p0, s2, c_write_h_invalid)) | m_main_v_CMD(s2, c_write_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.65/32.32 tff(9202,plain,
% 49.65/32.32 (~m_processor_v_CMD(c_p0, s2, c_write_h_invalid)),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[9201, 9195])).
% 49.65/32.32 tff(9203,plain,
% 49.65/32.32 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node33(c_p0, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node33(c_p0, s2, s3)))),
% 49.65/32.32 inference(rewrite,[status(thm)],[])).
% 49.65/32.32 tff(9204,plain,
% 49.65/32.32 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node33(c_p0, s2, s3)))),
% 49.65/32.32 inference(quant_inst,[status(thm)],[])).
% 49.65/32.32 tff(9205,plain,
% 49.65/32.32 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node33(c_p0, s2, s3))),
% 49.65/32.32 inference(modus_ponens,[status(thm)],[9204, 9203])).
% 49.65/32.32 tff(9206,plain,
% 49.65/32.32 (~node33(c_p0, s2, s3)),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[9205, 830, 9167, 9175])).
% 49.65/32.32 tff(9207,assumption,(~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)), introduced(assumption)).
% 49.65/32.32 tff(9208,assumption,(node34(c_p0, s2, s3)), introduced(assumption)).
% 49.65/32.32 tff(9209,plain,
% 49.65/32.32 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)))),
% 49.65/32.32 inference(rewrite,[status(thm)],[])).
% 49.65/32.32 tff(9210,plain,
% 49.65/32.32 (((~node34(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared))) <=> (m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)))),
% 49.65/32.32 inference(rewrite,[status(thm)],[])).
% 49.65/32.32 tff(9211,plain,
% 49.65/32.32 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared))))),
% 49.65/32.32 inference(monotonicity,[status(thm)],[9210])).
% 49.65/32.32 tff(9212,plain,
% 49.65/32.32 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)))),
% 49.65/32.32 inference(transitivity,[status(thm)],[9211, 9209])).
% 49.65/32.32 tff(9213,plain,
% 49.65/32.32 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)))),
% 49.65/32.32 inference(quant_inst,[status(thm)],[])).
% 49.65/32.32 tff(9214,plain,
% 49.65/32.32 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared))),
% 49.65/32.32 inference(modus_ponens,[status(thm)],[9213, 9212])).
% 49.65/32.32 tff(9215,plain,
% 49.65/32.32 (m_processor_v_state(c_p0, s3, c_shared) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared))),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[9214, 416, 9208])).
% 49.65/32.32 tff(9216,plain,
% 49.65/32.32 (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[9215, 2723])).
% 49.65/32.32 tff(9217,assumption,(~m_processor_v_CMD(c_p0, s2, c_write_h_invalid)), introduced(assumption)).
% 49.65/32.32 tff(9218,plain,
% 49.65/32.32 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_shared)))),
% 49.65/32.32 inference(rewrite,[status(thm)],[])).
% 49.65/32.32 tff(9219,plain,
% 49.65/32.32 (((~node34(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_shared))) <=> (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_shared)))),
% 49.65/32.32 inference(rewrite,[status(thm)],[])).
% 49.65/32.32 tff(9220,plain,
% 49.65/32.32 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_shared))))),
% 49.65/32.32 inference(monotonicity,[status(thm)],[9219])).
% 49.65/32.32 tff(9221,plain,
% 49.65/32.32 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_shared)))),
% 49.65/32.32 inference(transitivity,[status(thm)],[9220, 9218])).
% 49.65/32.32 tff(9222,plain,
% 49.65/32.32 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_shared)))),
% 49.65/32.32 inference(quant_inst,[status(thm)],[])).
% 49.65/32.32 tff(9223,plain,
% 49.65/32.32 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_shared))),
% 49.65/32.32 inference(modus_ponens,[status(thm)],[9222, 9221])).
% 49.65/32.32 tff(9224,plain,
% 49.65/32.32 (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s3, c_shared) | (~m_processor_v_CMD(c_p0, s2, c_write_h_shared))),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[9223, 456, 9208])).
% 49.65/32.32 tff(9225,plain,
% 49.65/32.32 (~m_processor_v_CMD(c_p0, s2, c_write_h_shared)),
% 49.65/32.32 inference(unit_resolution,[status(thm)],[9224, 9217, 2723, 9216, 2720, 9207])).
% 49.65/32.32 tff(9226,assumption,(~node33(c_p0, s2, s3)), introduced(assumption)).
% 49.65/32.32 tff(9227,plain,
% 49.65/32.32 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared) | node33(c_p0, s2, s3) | (~node34(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared) | node33(c_p0, s2, s3) | (~node34(c_p0, s2, s3)))),
% 49.65/32.32 inference(rewrite,[status(thm)],[])).
% 49.65/32.32 tff(9228,plain,
% 49.65/32.32 ((node33(c_p0, s2, s3) | (~node34(c_p0, s2, s3)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared) | node33(c_p0, s2, s3) | (~node34(c_p0, s2, s3)))),
% 49.65/32.32 inference(rewrite,[status(thm)],[])).
% 49.65/32.32 tff(9229,plain,
% 49.65/32.32 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s2, s3) | (~node34(c_p0, s2, s3)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared) | node33(c_p0, s2, s3) | (~node34(c_p0, s2, s3))))),
% 49.65/32.33 inference(monotonicity,[status(thm)],[9228])).
% 49.65/32.33 tff(9230,plain,
% 49.65/32.33 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s2, s3) | (~node34(c_p0, s2, s3)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared) | node33(c_p0, s2, s3) | (~node34(c_p0, s2, s3)))),
% 49.65/32.33 inference(transitivity,[status(thm)],[9229, 9227])).
% 49.65/32.33 tff(9231,plain,
% 49.65/32.33 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s2, s3) | (~node34(c_p0, s2, s3)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared))),
% 49.65/32.33 inference(quant_inst,[status(thm)],[])).
% 49.65/32.33 tff(9232,plain,
% 49.65/32.33 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared) | node33(c_p0, s2, s3) | (~node34(c_p0, s2, s3))),
% 49.65/32.33 inference(modus_ponens,[status(thm)],[9231, 9230])).
% 49.65/32.33 tff(9233,plain,
% 49.65/32.33 (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared) | node33(c_p0, s2, s3)),
% 49.65/32.33 inference(unit_resolution,[status(thm)],[9232, 474, 9208])).
% 49.65/32.33 tff(9234,plain,
% 49.65/32.33 (m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)),
% 49.65/32.33 inference(unit_resolution,[status(thm)],[9233, 9217, 9216, 2720, 9207, 9226, 9225])).
% 49.65/32.33 tff(9235,plain,
% 49.65/32.33 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)))),
% 49.65/32.33 inference(rewrite,[status(thm)],[])).
% 49.65/32.33 tff(9236,plain,
% 49.65/32.33 (((~node34(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared))) <=> (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)))),
% 49.65/32.33 inference(rewrite,[status(thm)],[])).
% 49.65/32.33 tff(9237,plain,
% 49.65/32.33 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared))))),
% 49.65/32.33 inference(monotonicity,[status(thm)],[9236])).
% 49.65/32.33 tff(9238,plain,
% 49.65/32.33 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)))),
% 49.65/32.33 inference(transitivity,[status(thm)],[9237, 9235])).
% 49.65/32.33 tff(9239,plain,
% 49.65/32.33 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)))),
% 49.65/32.33 inference(quant_inst,[status(thm)],[])).
% 49.65/32.33 tff(9240,plain,
% 49.65/32.33 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared))),
% 49.65/32.33 inference(modus_ponens,[status(thm)],[9239, 9238])).
% 49.65/32.33 tff(9241,plain,
% 49.65/32.33 (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s3, c_shared) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared))),
% 49.65/32.33 inference(unit_resolution,[status(thm)],[9240, 492, 9208])).
% 49.72/32.33 tff(9242,plain,
% 49.72/32.33 ($false),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[9241, 9234, 9217, 2723, 9216, 2720, 9207, 9225])).
% 49.72/32.33 tff(9243,plain,(m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | (~node34(c_p0, s2, s3)) | node33(c_p0, s2, s3)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.33 tff(9244,plain,
% 49.72/32.33 (~node34(c_p0, s2, s3)),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[9243, 9206, 9202, 9194, 9190, 9189])).
% 49.72/32.33 tff(9245,assumption,(~node34(c_p0, s2, s3)), introduced(assumption)).
% 49.72/32.33 tff(9246,plain,
% 49.72/32.33 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p0, s3, c_owned) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s3, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p0, s3, c_owned) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s3, c_invalid))),
% 49.72/32.33 inference(rewrite,[status(thm)],[])).
% 49.72/32.33 tff(9247,plain,
% 49.72/32.33 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p0, s3, c_owned) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s3, c_invalid))),
% 49.72/32.33 inference(quant_inst,[status(thm)],[])).
% 49.72/32.33 tff(9248,plain,
% 49.72/32.33 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p0, s3, c_owned) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s3, c_invalid)),
% 49.72/32.33 inference(modus_ponens,[status(thm)],[9247, 9246])).
% 49.72/32.33 tff(9249,plain,
% 49.72/32.33 (m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s3, c_invalid)),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[9248, 153, 2642])).
% 49.72/32.33 tff(9250,plain,
% 49.72/32.33 (m_processor_v_state(c_p0, s3, c_shared)),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[9249, 2722])).
% 49.72/32.33 tff(9251,plain,
% 49.72/32.33 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s2, c_shared) | (~node37(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s3, c_shared)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s2, c_shared) | (~node37(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s3, c_shared)))),
% 49.72/32.33 inference(rewrite,[status(thm)],[])).
% 49.72/32.33 tff(9252,plain,
% 49.72/32.33 ((m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_state(c_p0, s3, c_shared)) | (~node37(c_p0, s2, s3))) <=> (m_processor_v_state(c_p0, s2, c_shared) | (~node37(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s3, c_shared)))),
% 49.72/32.33 inference(rewrite,[status(thm)],[])).
% 49.72/32.33 tff(9253,plain,
% 49.72/32.33 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_state(c_p0, s3, c_shared)) | (~node37(c_p0, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s2, c_shared) | (~node37(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s3, c_shared))))),
% 49.72/32.33 inference(monotonicity,[status(thm)],[9252])).
% 49.72/32.33 tff(9254,plain,
% 49.72/32.33 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_state(c_p0, s3, c_shared)) | (~node37(c_p0, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s2, c_shared) | (~node37(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s3, c_shared)))),
% 49.72/32.33 inference(transitivity,[status(thm)],[9253, 9251])).
% 49.72/32.33 tff(9255,plain,
% 49.72/32.33 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s2, c_shared) | (~m_processor_v_state(c_p0, s3, c_shared)) | (~node37(c_p0, s2, s3)))),
% 49.72/32.33 inference(quant_inst,[status(thm)],[])).
% 49.72/32.33 tff(9256,plain,
% 49.72/32.33 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s2, c_shared) | (~node37(c_p0, s2, s3)) | (~m_processor_v_state(c_p0, s3, c_shared))),
% 49.72/32.33 inference(modus_ponens,[status(thm)],[9255, 9254])).
% 49.72/32.33 tff(9257,plain,
% 49.72/32.33 (~node37(c_p0, s2, s3)),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[9256, 182, 2668, 9250])).
% 49.72/32.33 tff(9258,plain,
% 49.72/32.33 (m_processor_v_abort(c_p0, s2)),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[2696, 9257, 2668, 2672, 2622])).
% 49.72/32.33 tff(9259,plain,
% 49.72/32.33 (node32(c_p0, s2, s3)),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[2704, 9258])).
% 49.72/32.33 tff(9260,plain,
% 49.72/32.33 ($false),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[2716, 380, 5494, 2722, 9259])).
% 49.72/32.33 tff(9261,plain,(m_processor_v_state(c_p0, s3, c_invalid) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s3, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.33 tff(9262,plain,
% 49.72/32.33 (m_processor_v_state(c_p0, s3, c_owned)),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[9261, 2622, 2710, 2722, 2668])).
% 49.72/32.33 tff(9263,plain,
% 49.72/32.33 ($false),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[2718, 9262, 2622, 2667, 2668])).
% 49.72/32.33 tff(9264,plain,(m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s2, c_owned) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s3, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.33 tff(9265,plain,
% 49.72/32.33 (m_processor_v_master(c_p0, s2)),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[9264, 2667, 2722, 2668])).
% 49.72/32.33 tff(9266,plain,
% 49.72/32.33 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | (~node38(c_p0, s2, s3)) | node34(c_p0, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | (~node38(c_p0, s2, s3)) | node34(c_p0, s2, s3))),
% 49.72/32.33 inference(rewrite,[status(thm)],[])).
% 49.72/32.33 tff(9267,plain,
% 49.72/32.33 ((node34(c_p0, s2, s3) | (~m_processor_v_master(c_p0, s2)) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2)) <=> ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | (~node38(c_p0, s2, s3)) | node34(c_p0, s2, s3))),
% 49.72/32.33 inference(rewrite,[status(thm)],[])).
% 49.72/32.33 tff(9268,plain,
% 49.72/32.33 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s2, s3) | (~m_processor_v_master(c_p0, s2)) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | (~node38(c_p0, s2, s3)) | node34(c_p0, s2, s3)))),
% 49.72/32.33 inference(monotonicity,[status(thm)],[9267])).
% 49.72/32.33 tff(9269,plain,
% 49.72/32.33 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s2, s3) | (~m_processor_v_master(c_p0, s2)) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | (~node38(c_p0, s2, s3)) | node34(c_p0, s2, s3))),
% 49.72/32.33 inference(transitivity,[status(thm)],[9268, 9266])).
% 49.72/32.33 tff(9270,plain,
% 49.72/32.33 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s2, s3) | (~m_processor_v_master(c_p0, s2)) | (~node38(c_p0, s2, s3)) | m_processor_v_abort(c_p0, s2))),
% 49.72/32.33 inference(quant_inst,[status(thm)],[])).
% 49.72/32.33 tff(9271,plain,
% 49.72/32.33 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | (~node38(c_p0, s2, s3)) | node34(c_p0, s2, s3)),
% 49.72/32.33 inference(modus_ponens,[status(thm)],[9270, 9269])).
% 49.72/32.33 tff(9272,plain,
% 49.72/32.33 ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node34(c_p0, s2, s3)),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[9271, 283, 2689])).
% 49.72/32.33 tff(9273,plain,
% 49.72/32.33 (m_processor_v_abort(c_p0, s2)),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[9272, 9265, 9245])).
% 49.72/32.33 tff(9274,plain,
% 49.72/32.33 (~node32(c_p0, s2, s3)),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[5496, 2710, 2722])).
% 49.72/32.33 tff(9275,plain,
% 49.72/32.33 ($false),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[2704, 9274, 9273])).
% 49.72/32.33 tff(9276,plain,(m_processor_v_state(c_p0, s2, c_owned) | m_processor_v_state(c_p0, s3, c_invalid) | node34(c_p0, s2, s3) | m_processor_v_state(c_p0, s2, c_shared)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.33 tff(9277,plain,
% 49.72/32.33 ($false),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[9276, 9244, 9176, 9168, 9167])).
% 49.72/32.33 tff(9278,plain,(node67(s7) | node67(s8) | node67(s9) | node67(s6) | node67(s5) | node67(s4) | m_main_v_CMD(s2, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.33 tff(9279,plain,
% 49.72/32.33 (node67(s4)),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[9278, 8798, 5932, 5949, 5668, 5667, 104])).
% 49.72/32.33 tff(9280,plain,
% 49.72/32.33 (m_processor_v_state(c_p0, s5, c_owned)),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[6931, 9279, 53])).
% 49.72/32.33 tff(9281,plain,
% 49.72/32.33 (m_processor_v_writable(c_p1, s4)),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[6565, 9279])).
% 49.72/32.33 tff(9282,plain,
% 49.72/32.33 (node56(c_p1, s4)),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[6573, 9281])).
% 49.72/32.33 tff(9283,plain,
% 49.72/32.33 (m_processor_v_state(c_p1, s4, c_owned)),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[6584, 9282])).
% 49.72/32.33 tff(9284,plain,
% 49.72/32.33 (m_processor_v_master(c_p1, s4)),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[6865, 9283, 53])).
% 49.72/32.33 tff(9285,plain,
% 49.72/32.33 (~m_processor_v_master(c_p0, s4)),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[1435, 794, 9284])).
% 49.72/32.33 tff(9286,plain,
% 49.72/32.33 (m_processor_v_state(c_p0, s4, c_owned)),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[1191, 9285, 9280])).
% 49.72/32.33 tff(9287,plain,
% 49.72/32.33 (m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[5526, 8792])).
% 49.72/32.33 tff(9288,assumption,(~node60(c_p1, s2)), introduced(assumption)).
% 49.72/32.33 tff(9289,plain,
% 49.72/32.33 (((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p1, s2) | node60(c_p1, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p1, s2) | node60(c_p1, s2))),
% 49.72/32.33 inference(rewrite,[status(thm)],[])).
% 49.72/32.33 tff(9290,plain,
% 49.72/32.33 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p1, s2) | node60(c_p1, s2))),
% 49.72/32.33 inference(quant_inst,[status(thm)],[])).
% 49.72/32.33 tff(9291,plain,
% 49.72/32.33 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p1, s2) | node60(c_p1, s2)),
% 49.72/32.33 inference(modus_ponens,[status(thm)],[9290, 9289])).
% 49.72/32.33 tff(9292,plain,
% 49.72/32.33 ($false),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[9291, 693, 8659, 9288])).
% 49.72/32.33 tff(9293,plain,(m_processor_v_abort(c_p1, s2) | node60(c_p1, s2)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.33 tff(9294,plain,
% 49.72/32.33 (node60(c_p1, s2)),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[9293, 8614])).
% 49.72/32.33 tff(9295,assumption,(node60(c_p1, s2)), introduced(assumption)).
% 49.72/32.33 tff(9296,assumption,(m_processor_v_REPLY_h_STALL(c_p1, s2)), introduced(assumption)).
% 49.72/32.33 tff(9297,plain,
% 49.72/32.33 (((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p1, s2)) | (~node60(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p1, s2)) | (~node60(c_p1, s2)))),
% 49.72/32.33 inference(rewrite,[status(thm)],[])).
% 49.72/32.33 tff(9298,plain,
% 49.72/32.33 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p1, s2)) | (~node60(c_p1, s2)))),
% 49.72/32.33 inference(quant_inst,[status(thm)],[])).
% 49.72/32.33 tff(9299,plain,
% 49.72/32.33 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p1, s2)) | (~node60(c_p1, s2))),
% 49.72/32.33 inference(modus_ponens,[status(thm)],[9298, 9297])).
% 49.72/32.33 tff(9300,plain,
% 49.72/32.33 ($false),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[9299, 1363, 9296, 9295])).
% 49.72/32.33 tff(9301,plain,((~m_processor_v_REPLY_h_STALL(c_p1, s2)) | (~node60(c_p1, s2))), inference(lemma,lemma(discharge,[]))).
% 49.72/32.33 tff(9302,plain,
% 49.72/32.33 (~m_processor_v_REPLY_h_STALL(c_p1, s2)),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[9301, 9294])).
% 49.72/32.33 tff(9303,assumption,(~m_processor_v_REPLY_h_STALL(c_p1, s2)), introduced(assumption)).
% 49.72/32.33 tff(9304,assumption,(m_main_v_REPLY_h_STALL(s2)), introduced(assumption)).
% 49.72/32.33 tff(9305,plain,
% 49.72/32.33 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | ((~m_main_v_REPLY_h_STALL(s2)) | m_processor_v_REPLY_h_STALL(c_p1, s2))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | (~m_main_v_REPLY_h_STALL(s2)) | m_processor_v_REPLY_h_STALL(c_p1, s2))),
% 49.72/32.33 inference(rewrite,[status(thm)],[])).
% 49.72/32.33 tff(9306,plain,
% 49.72/32.33 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | ((~m_main_v_REPLY_h_STALL(s2)) | m_processor_v_REPLY_h_STALL(c_p1, s2))),
% 49.72/32.33 inference(quant_inst,[status(thm)],[])).
% 49.72/32.33 tff(9307,plain,
% 49.72/32.33 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | (~m_main_v_REPLY_h_STALL(s2)) | m_processor_v_REPLY_h_STALL(c_p1, s2)),
% 49.72/32.33 inference(modus_ponens,[status(thm)],[9306, 9305])).
% 49.72/32.33 tff(9308,plain,
% 49.72/32.33 ($false),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[9307, 1713, 9304, 9303])).
% 49.72/32.33 tff(9309,plain,(m_processor_v_REPLY_h_STALL(c_p1, s2) | (~m_main_v_REPLY_h_STALL(s2))), inference(lemma,lemma(discharge,[]))).
% 49.72/32.33 tff(9310,plain,
% 49.72/32.33 (~m_main_v_REPLY_h_STALL(s2)),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[9309, 9302])).
% 49.72/32.33 tff(9311,assumption,(~m_main_v_REPLY_h_STALL(s2)), introduced(assumption)).
% 49.72/32.33 tff(9312,assumption,(m_processor_v_REPLY_h_STALL(c_p0, s2)), introduced(assumption)).
% 49.72/32.33 tff(9313,plain,
% 49.72/32.33 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | (m_main_v_REPLY_h_STALL(s2) | (~m_processor_v_REPLY_h_STALL(c_p0, s2)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | m_main_v_REPLY_h_STALL(s2) | (~m_processor_v_REPLY_h_STALL(c_p0, s2)))),
% 49.72/32.33 inference(rewrite,[status(thm)],[])).
% 49.72/32.33 tff(9314,plain,
% 49.72/32.33 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | (m_main_v_REPLY_h_STALL(s2) | (~m_processor_v_REPLY_h_STALL(c_p0, s2)))),
% 49.72/32.33 inference(quant_inst,[status(thm)],[])).
% 49.72/32.33 tff(9315,plain,
% 49.72/32.33 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | m_main_v_REPLY_h_STALL(s2) | (~m_processor_v_REPLY_h_STALL(c_p0, s2))),
% 49.72/32.33 inference(modus_ponens,[status(thm)],[9314, 9313])).
% 49.72/32.33 tff(9316,plain,
% 49.72/32.33 ($false),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[9315, 1729, 9312, 9311])).
% 49.72/32.33 tff(9317,plain,((~m_processor_v_REPLY_h_STALL(c_p0, s2)) | m_main_v_REPLY_h_STALL(s2)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.33 tff(9318,plain,
% 49.72/32.33 (~m_processor_v_REPLY_h_STALL(c_p0, s2)),
% 49.72/32.33 inference(unit_resolution,[status(thm)],[9317, 9310])).
% 49.72/32.33 tff(9319,plain,
% 49.72/32.33 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | (~node59(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | (~node59(c_p1, s2)))),
% 49.72/32.33 inference(rewrite,[status(thm)],[])).
% 49.72/32.33 tff(9320,plain,
% 49.72/32.33 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | (~node59(c_p1, s2)))),
% 49.72/32.34 inference(quant_inst,[status(thm)],[])).
% 49.72/32.34 tff(9321,plain,
% 49.72/32.34 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | (~node59(c_p1, s2))),
% 49.72/32.34 inference(modus_ponens,[status(thm)],[9320, 9319])).
% 49.72/32.34 tff(9322,plain,
% 49.72/32.34 (~node59(c_p1, s2)),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9321, 3834, 8785])).
% 49.72/32.34 tff(9323,assumption,(~node59(c_p1, s2)), introduced(assumption)).
% 49.72/32.34 tff(9324,assumption,(m_processor_v_REPLY_h_WAITING(c_p1, s2)), introduced(assumption)).
% 49.72/32.34 tff(9325,plain,
% 49.72/32.34 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p1, s2)) | node59(c_p1, s2) | (~node60(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s2)) | node59(c_p1, s2) | (~node60(c_p1, s2)))),
% 49.72/32.34 inference(rewrite,[status(thm)],[])).
% 49.72/32.34 tff(9326,plain,
% 49.72/32.34 ((node59(c_p1, s2) | (~node60(c_p1, s2)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s2))) <=> ((~m_processor_v_REPLY_h_WAITING(c_p1, s2)) | node59(c_p1, s2) | (~node60(c_p1, s2)))),
% 49.72/32.34 inference(rewrite,[status(thm)],[])).
% 49.72/32.34 tff(9327,plain,
% 49.72/32.34 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s2) | (~node60(c_p1, s2)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p1, s2)) | node59(c_p1, s2) | (~node60(c_p1, s2))))),
% 49.72/32.34 inference(monotonicity,[status(thm)],[9326])).
% 49.72/32.34 tff(9328,plain,
% 49.72/32.34 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s2) | (~node60(c_p1, s2)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s2)) | node59(c_p1, s2) | (~node60(c_p1, s2)))),
% 49.72/32.34 inference(transitivity,[status(thm)],[9327, 9325])).
% 49.72/32.34 tff(9329,plain,
% 49.72/32.34 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s2) | (~node60(c_p1, s2)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s2)))),
% 49.72/32.34 inference(quant_inst,[status(thm)],[])).
% 49.72/32.34 tff(9330,plain,
% 49.72/32.34 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s2)) | node59(c_p1, s2) | (~node60(c_p1, s2))),
% 49.72/32.34 inference(modus_ponens,[status(thm)],[9329, 9328])).
% 49.72/32.34 tff(9331,plain,
% 49.72/32.34 ($false),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9330, 724, 9295, 9324, 9323])).
% 49.72/32.34 tff(9332,plain,((~m_processor_v_REPLY_h_WAITING(c_p1, s2)) | (~node60(c_p1, s2)) | node59(c_p1, s2)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.34 tff(9333,plain,
% 49.72/32.34 (~m_processor_v_REPLY_h_WAITING(c_p1, s2)),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9332, 9322, 9294])).
% 49.72/32.34 tff(9334,assumption,(~m_processor_v_REPLY_h_WAITING(c_p1, s2)), introduced(assumption)).
% 49.72/32.34 tff(9335,assumption,(m_main_v_REPLY_h_WAITING(s2)), introduced(assumption)).
% 49.72/32.34 tff(9336,plain,
% 49.72/32.34 (((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | ((~m_main_v_REPLY_h_WAITING(s2)) | m_processor_v_REPLY_h_WAITING(c_p1, s2))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | (~m_main_v_REPLY_h_WAITING(s2)) | m_processor_v_REPLY_h_WAITING(c_p1, s2))),
% 49.72/32.34 inference(rewrite,[status(thm)],[])).
% 49.72/32.34 tff(9337,plain,
% 49.72/32.34 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | ((~m_main_v_REPLY_h_WAITING(s2)) | m_processor_v_REPLY_h_WAITING(c_p1, s2))),
% 49.72/32.34 inference(quant_inst,[status(thm)],[])).
% 49.72/32.34 tff(9338,plain,
% 49.72/32.34 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | (~m_main_v_REPLY_h_WAITING(s2)) | m_processor_v_REPLY_h_WAITING(c_p1, s2)),
% 49.72/32.34 inference(modus_ponens,[status(thm)],[9337, 9336])).
% 49.72/32.34 tff(9339,plain,
% 49.72/32.34 ($false),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9338, 745, 9335, 9334])).
% 49.72/32.34 tff(9340,plain,(m_processor_v_REPLY_h_WAITING(c_p1, s2) | (~m_main_v_REPLY_h_WAITING(s2))), inference(lemma,lemma(discharge,[]))).
% 49.72/32.34 tff(9341,plain,
% 49.72/32.34 (~m_main_v_REPLY_h_WAITING(s2)),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9340, 9333])).
% 49.72/32.34 tff(9342,assumption,(m_processor_v_REPLY_h_WAITING(c_p0, s2)), introduced(assumption)).
% 49.72/32.34 tff(9343,assumption,(~m_main_v_REPLY_h_WAITING(s2)), introduced(assumption)).
% 49.72/32.34 tff(9344,plain,
% 49.72/32.34 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | (m_main_v_REPLY_h_WAITING(s2) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | m_main_v_REPLY_h_WAITING(s2) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2)))),
% 49.72/32.34 inference(rewrite,[status(thm)],[])).
% 49.72/32.34 tff(9345,plain,
% 49.72/32.34 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | (m_main_v_REPLY_h_WAITING(s2) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2)))),
% 49.72/32.34 inference(quant_inst,[status(thm)],[])).
% 49.72/32.34 tff(9346,plain,
% 49.72/32.34 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | m_main_v_REPLY_h_WAITING(s2) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2))),
% 49.72/32.34 inference(modus_ponens,[status(thm)],[9345, 9344])).
% 49.72/32.34 tff(9347,plain,
% 49.72/32.34 ($false),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9346, 1909, 9343, 9342])).
% 49.72/32.34 tff(9348,plain,(m_main_v_REPLY_h_WAITING(s2) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2))), inference(lemma,lemma(discharge,[]))).
% 49.72/32.34 tff(9349,plain,
% 49.72/32.34 (~m_processor_v_REPLY_h_WAITING(c_p0, s2)),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9348, 9341])).
% 49.72/32.34 tff(9350,assumption,(node61(c_p0, s2)), introduced(assumption)).
% 49.72/32.34 tff(9351,assumption,(~m_processor_v_REPLY_h_WAITING(c_p0, s2)), introduced(assumption)).
% 49.72/32.34 tff(9352,plain,
% 49.72/32.34 (((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p0, s2) | (~node61(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p0, s2) | (~node61(c_p0, s2)))),
% 49.72/32.34 inference(rewrite,[status(thm)],[])).
% 49.72/32.34 tff(9353,plain,
% 49.72/32.34 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p0, s2) | (~node61(c_p0, s2)))),
% 49.72/32.34 inference(quant_inst,[status(thm)],[])).
% 49.72/32.34 tff(9354,plain,
% 49.72/32.34 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p0, s2) | (~node61(c_p0, s2))),
% 49.72/32.34 inference(modus_ponens,[status(thm)],[9353, 9352])).
% 49.72/32.34 tff(9355,plain,
% 49.72/32.34 ($false),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9354, 1891, 9351, 9350])).
% 49.72/32.34 tff(9356,plain,((~node61(c_p0, s2)) | m_processor_v_REPLY_h_WAITING(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.34 tff(9357,plain,
% 49.72/32.34 (~node61(c_p0, s2)),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9356, 9349])).
% 49.72/32.34 tff(9358,assumption,(~node61(c_p0, s2)), introduced(assumption)).
% 49.72/32.34 tff(9359,assumption,(~m_processor_v_REPLY_h_STALL(c_p0, s2)), introduced(assumption)).
% 49.72/32.34 tff(9360,assumption,(m_processor_v_abort(c_p0, s2)), introduced(assumption)).
% 49.72/32.34 tff(9361,plain,
% 49.72/32.34 (((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p0, s2)) | m_processor_v_REPLY_h_STALL(c_p0, s2) | node61(c_p0, s2))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p0, s2)) | m_processor_v_REPLY_h_STALL(c_p0, s2) | node61(c_p0, s2))),
% 49.72/32.34 inference(rewrite,[status(thm)],[])).
% 49.72/32.34 tff(9362,plain,
% 49.72/32.34 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p0, s2)) | m_processor_v_REPLY_h_STALL(c_p0, s2) | node61(c_p0, s2))),
% 49.72/32.34 inference(quant_inst,[status(thm)],[])).
% 49.72/32.34 tff(9363,plain,
% 49.72/32.34 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p0, s2)) | m_processor_v_REPLY_h_STALL(c_p0, s2) | node61(c_p0, s2)),
% 49.72/32.34 inference(modus_ponens,[status(thm)],[9362, 9361])).
% 49.72/32.34 tff(9364,plain,
% 49.72/32.34 ($false),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9363, 1417, 9360, 9359, 9358])).
% 49.72/32.34 tff(9365,plain,((~m_processor_v_abort(c_p0, s2)) | m_processor_v_REPLY_h_STALL(c_p0, s2) | node61(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.34 tff(9366,plain,
% 49.72/32.34 (~m_processor_v_abort(c_p0, s2)),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9365, 9357, 9318])).
% 49.72/32.34 tff(9367,plain,
% 49.72/32.34 (~m_processor_v_state(c_p1, s2, c_invalid)),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[5490, 8727])).
% 49.72/32.34 tff(9368,plain,
% 49.72/32.34 (m_processor_v_state(c_p0, s2, c_invalid)),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[5047, 9367, 8727])).
% 49.72/32.34 tff(9369,plain,
% 49.72/32.34 (m_processor_v_writable(c_p0, s4)),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[73, 43, 9279])).
% 49.72/32.34 tff(9370,plain,
% 49.72/32.34 (node56(c_p0, s4)),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[67, 28, 9369])).
% 49.72/32.34 tff(9371,plain,
% 49.72/32.34 (((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p0, s4)) | (~node56(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p0, s4)) | (~node56(c_p0, s4)))),
% 49.72/32.34 inference(rewrite,[status(thm)],[])).
% 49.72/32.34 tff(9372,plain,
% 49.72/32.34 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p0, s4)) | (~node56(c_p0, s4)))),
% 49.72/32.34 inference(quant_inst,[status(thm)],[])).
% 49.72/32.34 tff(9373,plain,
% 49.72/32.34 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p0, s4)) | (~node56(c_p0, s4))),
% 49.72/32.34 inference(modus_ponens,[status(thm)],[9372, 9371])).
% 49.72/32.34 tff(9374,plain,
% 49.72/32.34 (~m_processor_v_waiting(c_p0, s4)),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9373, 540, 56])).
% 49.72/32.34 tff(9375,plain,
% 49.72/32.34 (~m_processor_v_state(c_p0, s2, c_shared)),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[8392, 5494])).
% 49.72/32.34 tff(9376,plain,
% 49.72/32.34 (~m_processor_v_state(c_p0, s2, c_owned)),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[2779, 137, 5494])).
% 49.72/32.34 tff(9377,plain,
% 49.72/32.34 (m_processor_v_state(c_p0, s3, c_invalid)),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9264, 2622, 9376, 9375])).
% 49.72/32.34 tff(9378,plain,
% 49.72/32.34 (m_processor_v_state(c_p0, s4, c_owned)),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[61, 56])).
% 49.72/32.34 tff(9379,plain,
% 49.72/32.34 (~m_processor_v_state(c_p0, s4, c_invalid)),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[1757, 9378])).
% 49.72/32.34 tff(9380,assumption,(node32(c_p0, s3, s4)), introduced(assumption)).
% 49.72/32.34 tff(9381,assumption,(m_processor_v_state(c_p0, s3, c_invalid)), introduced(assumption)).
% 49.72/32.34 tff(9382,plain,
% 49.72/32.34 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node32(c_p0, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node32(c_p0, s3, s4)))),
% 49.72/32.34 inference(rewrite,[status(thm)],[])).
% 49.72/32.34 tff(9383,plain,
% 49.72/32.34 (((~node32(c_p0, s3, s4)) | (~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid)) <=> ((~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node32(c_p0, s3, s4)))),
% 49.72/32.34 inference(rewrite,[status(thm)],[])).
% 49.72/32.34 tff(9384,plain,
% 49.72/32.34 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s3, s4)) | (~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node32(c_p0, s3, s4))))),
% 49.72/32.34 inference(monotonicity,[status(thm)],[9383])).
% 49.72/32.34 tff(9385,plain,
% 49.72/32.34 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s3, s4)) | (~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node32(c_p0, s3, s4)))),
% 49.72/32.34 inference(transitivity,[status(thm)],[9384, 9382])).
% 49.72/32.34 tff(9386,plain,
% 49.72/32.34 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s3, s4)) | (~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid))),
% 49.72/32.34 inference(quant_inst,[status(thm)],[])).
% 49.72/32.34 tff(9387,plain,
% 49.72/32.34 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node32(c_p0, s3, s4))),
% 49.72/32.34 inference(modus_ponens,[status(thm)],[9386, 9385])).
% 49.72/32.34 tff(9388,plain,
% 49.72/32.34 ($false),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9387, 380, 9381, 1095, 9380])).
% 49.72/32.34 tff(9389,plain,((~node32(c_p0, s3, s4)) | (~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.34 tff(9390,plain,
% 49.72/32.34 (~node32(c_p0, s3, s4)),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9389, 9379, 9377])).
% 49.72/32.34 tff(9391,assumption,(~node38(c_p0, s3, s4)), introduced(assumption)).
% 49.72/32.34 tff(9392,plain,
% 49.72/32.34 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s3, s4)) | node38(c_p0, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s3, s4)) | node38(c_p0, s3, s4))),
% 49.72/32.34 inference(rewrite,[status(thm)],[])).
% 49.72/32.34 tff(9393,plain,
% 49.72/32.34 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s3, s4)) | node38(c_p0, s3, s4))),
% 49.72/32.34 inference(quant_inst,[status(thm)],[])).
% 49.72/32.34 tff(9394,plain,
% 49.72/32.34 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s3, s4)) | node38(c_p0, s3, s4)),
% 49.72/32.34 inference(modus_ponens,[status(thm)],[9393, 9392])).
% 49.72/32.34 tff(9395,plain,
% 49.72/32.34 ($false),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9394, 210, 6623, 9391])).
% 49.72/32.34 tff(9396,plain,(node38(c_p0, s3, s4)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.34 tff(9397,plain,
% 49.72/32.34 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s3, s4) | (~m_processor_v_abort(c_p0, s3)) | (~node38(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s3, s4) | (~m_processor_v_abort(c_p0, s3)) | (~node38(c_p0, s3, s4)))),
% 49.72/32.34 inference(rewrite,[status(thm)],[])).
% 49.72/32.34 tff(9398,plain,
% 49.72/32.34 ((node32(c_p0, s3, s4) | (~node38(c_p0, s3, s4)) | (~m_processor_v_abort(c_p0, s3))) <=> (node32(c_p0, s3, s4) | (~m_processor_v_abort(c_p0, s3)) | (~node38(c_p0, s3, s4)))),
% 49.72/32.34 inference(rewrite,[status(thm)],[])).
% 49.72/32.34 tff(9399,plain,
% 49.72/32.34 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s3, s4) | (~node38(c_p0, s3, s4)) | (~m_processor_v_abort(c_p0, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s3, s4) | (~m_processor_v_abort(c_p0, s3)) | (~node38(c_p0, s3, s4))))),
% 49.72/32.34 inference(monotonicity,[status(thm)],[9398])).
% 49.72/32.34 tff(9400,plain,
% 49.72/32.34 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s3, s4) | (~node38(c_p0, s3, s4)) | (~m_processor_v_abort(c_p0, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s3, s4) | (~m_processor_v_abort(c_p0, s3)) | (~node38(c_p0, s3, s4)))),
% 49.72/32.34 inference(transitivity,[status(thm)],[9399, 9397])).
% 49.72/32.34 tff(9401,plain,
% 49.72/32.34 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s3, s4) | (~node38(c_p0, s3, s4)) | (~m_processor_v_abort(c_p0, s3)))),
% 49.72/32.34 inference(quant_inst,[status(thm)],[])).
% 49.72/32.34 tff(9402,plain,
% 49.72/32.34 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s3, s4) | (~m_processor_v_abort(c_p0, s3)) | (~node38(c_p0, s3, s4))),
% 49.72/32.34 inference(modus_ponens,[status(thm)],[9401, 9400])).
% 49.72/32.34 tff(9403,plain,
% 49.72/32.34 (node32(c_p0, s3, s4) | (~m_processor_v_abort(c_p0, s3))),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9402, 243, 9396])).
% 49.72/32.34 tff(9404,plain,
% 49.72/32.34 (~m_processor_v_abort(c_p0, s3)),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9403, 9390])).
% 49.72/32.34 tff(9405,assumption,(~m_processor_v_master(c_p0, s3)), introduced(assumption)).
% 49.72/32.34 tff(9406,plain,
% 49.72/32.34 (~m_processor_v_state(c_p0, s3, c_owned)),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[2718, 9376, 2622, 9375])).
% 49.72/32.34 tff(9407,plain,
% 49.72/32.34 (m_processor_v_state(c_p0, s3, c_invalid)),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9264, 9376, 9375, 2622])).
% 49.72/32.34 tff(9408,plain,
% 49.72/32.34 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | (~m_processor_v_state(c_p0, s3, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p0, s3, c_invalid)) | (~m_processor_v_state(c_p0, s3, c_shared)))),
% 49.72/32.34 inference(rewrite,[status(thm)],[])).
% 49.72/32.34 tff(9409,plain,
% 49.72/32.34 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | (~m_processor_v_state(c_p0, s3, c_shared)))),
% 49.72/32.34 inference(quant_inst,[status(thm)],[])).
% 49.72/32.34 tff(9410,plain,
% 49.72/32.34 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p0, s3, c_invalid)) | (~m_processor_v_state(c_p0, s3, c_shared))),
% 49.72/32.34 inference(modus_ponens,[status(thm)],[9409, 9408])).
% 49.72/32.34 tff(9411,plain,
% 49.72/32.34 ($false),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9410, 977, 2653, 9381])).
% 49.72/32.34 tff(9412,plain,((~m_processor_v_state(c_p0, s3, c_shared)) | (~m_processor_v_state(c_p0, s3, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 49.72/32.34 tff(9413,plain,
% 49.72/32.34 (~m_processor_v_state(c_p0, s3, c_shared)),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9412, 9407])).
% 49.72/32.34 tff(9414,plain,
% 49.72/32.34 ($false),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9248, 153, 2723, 2722, 2642])).
% 49.72/32.34 tff(9415,plain,(m_processor_v_state(c_p0, s3, c_owned) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s3, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.34 tff(9416,plain,
% 49.72/32.34 (m_processor_v_state(c_p0, s3, c_invalid)),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9415, 2723, 2642])).
% 49.72/32.34 tff(9417,plain,
% 49.72/32.34 (~node32(c_p0, s3, s4)),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9389, 9416, 1095])).
% 49.72/32.34 tff(9418,plain,
% 49.72/32.34 (~m_processor_v_abort(c_p0, s3)),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9403, 9417])).
% 49.72/32.34 tff(9419,plain,
% 49.72/32.34 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | (~node37(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s3, c_invalid)) | (~node37(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_invalid))),
% 49.72/32.34 inference(rewrite,[status(thm)],[])).
% 49.72/32.34 tff(9420,plain,
% 49.72/32.34 (((~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node37(c_p0, s3, s4))) <=> ((~m_processor_v_state(c_p0, s3, c_invalid)) | (~node37(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_invalid))),
% 49.72/32.34 inference(rewrite,[status(thm)],[])).
% 49.72/32.34 tff(9421,plain,
% 49.72/32.34 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node37(c_p0, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | (~node37(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_invalid)))),
% 49.72/32.34 inference(monotonicity,[status(thm)],[9420])).
% 49.72/32.34 tff(9422,plain,
% 49.72/32.34 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node37(c_p0, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s3, c_invalid)) | (~node37(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_invalid))),
% 49.72/32.34 inference(transitivity,[status(thm)],[9421, 9419])).
% 49.72/32.34 tff(9423,plain,
% 49.72/32.34 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node37(c_p0, s3, s4)))),
% 49.72/32.34 inference(quant_inst,[status(thm)],[])).
% 49.72/32.34 tff(9424,plain,
% 49.72/32.34 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s3, c_invalid)) | (~node37(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_invalid)),
% 49.72/32.34 inference(modus_ponens,[status(thm)],[9423, 9422])).
% 49.72/32.34 tff(9425,plain,
% 49.72/32.34 (~node37(c_p0, s3, s4)),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9424, 2411, 9416, 1095])).
% 49.72/32.34 tff(9426,plain,
% 49.72/32.34 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p0, s3, c_shared) | (~node36(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p0, s3, c_shared) | (~node36(c_p0, s3)))),
% 49.72/32.34 inference(rewrite,[status(thm)],[])).
% 49.72/32.34 tff(9427,plain,
% 49.72/32.34 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p0, s3, c_shared) | (~node36(c_p0, s3)))),
% 49.72/32.34 inference(quant_inst,[status(thm)],[])).
% 49.72/32.34 tff(9428,plain,
% 49.72/32.34 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p0, s3, c_shared) | (~node36(c_p0, s3))),
% 49.72/32.34 inference(modus_ponens,[status(thm)],[9427, 9426])).
% 49.72/32.34 tff(9429,plain,
% 49.72/32.34 (~node36(c_p0, s3)),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9428, 167, 2723])).
% 49.72/32.34 tff(9430,plain,
% 49.72/32.34 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s3, c_shared) | node36(c_p0, s3) | m_processor_v_abort(c_p0, s3) | node37(c_p0, s3, s4) | (~node38(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s3, c_shared) | node36(c_p0, s3) | m_processor_v_abort(c_p0, s3) | node37(c_p0, s3, s4) | (~node38(c_p0, s3, s4)))),
% 49.72/32.34 inference(rewrite,[status(thm)],[])).
% 49.72/32.34 tff(9431,plain,
% 49.72/32.34 ((m_processor_v_state(c_p0, s3, c_shared) | node36(c_p0, s3) | m_processor_v_master(c_p0, s3) | node37(c_p0, s3, s4) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3)) <=> (m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s3, c_shared) | node36(c_p0, s3) | m_processor_v_abort(c_p0, s3) | node37(c_p0, s3, s4) | (~node38(c_p0, s3, s4)))),
% 49.72/32.34 inference(rewrite,[status(thm)],[])).
% 49.72/32.34 tff(9432,plain,
% 49.72/32.34 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s3, c_shared) | node36(c_p0, s3) | m_processor_v_master(c_p0, s3) | node37(c_p0, s3, s4) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s3, c_shared) | node36(c_p0, s3) | m_processor_v_abort(c_p0, s3) | node37(c_p0, s3, s4) | (~node38(c_p0, s3, s4))))),
% 49.72/32.34 inference(monotonicity,[status(thm)],[9431])).
% 49.72/32.34 tff(9433,plain,
% 49.72/32.34 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s3, c_shared) | node36(c_p0, s3) | m_processor_v_master(c_p0, s3) | node37(c_p0, s3, s4) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s3, c_shared) | node36(c_p0, s3) | m_processor_v_abort(c_p0, s3) | node37(c_p0, s3, s4) | (~node38(c_p0, s3, s4)))),
% 49.72/32.34 inference(transitivity,[status(thm)],[9432, 9430])).
% 49.72/32.34 tff(9434,plain,
% 49.72/32.34 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s3, c_shared) | node36(c_p0, s3) | m_processor_v_master(c_p0, s3) | node37(c_p0, s3, s4) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3))),
% 49.72/32.34 inference(quant_inst,[status(thm)],[])).
% 49.72/32.34 tff(9435,plain,
% 49.72/32.34 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s3, c_shared) | node36(c_p0, s3) | m_processor_v_abort(c_p0, s3) | node37(c_p0, s3, s4) | (~node38(c_p0, s3, s4))),
% 49.72/32.34 inference(modus_ponens,[status(thm)],[9434, 9433])).
% 49.72/32.34 tff(9436,plain,
% 49.72/32.34 (m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s3, c_shared) | node36(c_p0, s3) | m_processor_v_abort(c_p0, s3) | node37(c_p0, s3, s4)),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9435, 225, 9396])).
% 49.72/32.34 tff(9437,plain,
% 49.72/32.34 ($false),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9436, 9429, 9425, 2723, 9418, 9405])).
% 49.72/32.34 tff(9438,plain,(m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_state(c_p0, s3, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.34 tff(9439,plain,
% 49.72/32.34 ($false),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9438, 9413, 9406, 1095, 9405])).
% 49.72/32.34 tff(9440,plain,((~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_master(c_p0, s3) | m_processor_v_master(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.34 tff(9441,plain,
% 49.72/32.34 (m_processor_v_master(c_p0, s3)),
% 49.72/32.34 inference(unit_resolution,[status(thm)],[9440, 9379, 5494, 2622])).
% 49.72/32.34 tff(9442,plain,
% 49.72/32.34 (((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | ((~m_processor_v_master(c_p0, s3)) | (~m_processor_v_master(c_p1, s3)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | (~m_processor_v_master(c_p0, s3)) | (~m_processor_v_master(c_p1, s3)))),
% 49.72/32.34 inference(rewrite,[status(thm)],[])).
% 49.72/32.34 tff(9443,plain,
% 49.72/32.34 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | ((~m_processor_v_master(c_p0, s3)) | (~m_processor_v_master(c_p1, s3)))),
% 49.72/32.34 inference(quant_inst,[status(thm)],[])).
% 49.72/32.35 tff(9444,plain,
% 49.72/32.35 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | (~m_processor_v_master(c_p0, s3)) | (~m_processor_v_master(c_p1, s3))),
% 49.72/32.35 inference(modus_ponens,[status(thm)],[9443, 9442])).
% 49.72/32.35 tff(9445,plain,
% 49.72/32.35 (~m_processor_v_master(c_p1, s3)),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9444, 794, 9441])).
% 49.72/32.35 tff(9446,assumption,(~m_processor_v_cmd(c_p1, s3, c_idle)), introduced(assumption)).
% 49.72/32.35 tff(9447,plain,
% 49.72/32.35 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node66(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node66(c_p1, s3)))),
% 49.72/32.35 inference(rewrite,[status(thm)],[])).
% 49.72/32.35 tff(9448,plain,
% 49.72/32.35 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node66(c_p1, s3)))),
% 49.72/32.35 inference(quant_inst,[status(thm)],[])).
% 49.72/32.35 tff(9449,plain,
% 49.72/32.35 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node66(c_p1, s3))),
% 49.72/32.35 inference(modus_ponens,[status(thm)],[9448, 9447])).
% 49.72/32.35 tff(9450,plain,
% 49.72/32.35 (~node66(c_p1, s3)),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9449, 1446, 6607])).
% 49.72/32.35 tff(9451,plain,
% 49.72/32.35 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node64(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node64(c_p1, s3)))),
% 49.72/32.35 inference(rewrite,[status(thm)],[])).
% 49.72/32.35 tff(9452,plain,
% 49.72/32.35 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node64(c_p1, s3)))),
% 49.72/32.35 inference(quant_inst,[status(thm)],[])).
% 49.72/32.35 tff(9453,plain,
% 49.72/32.35 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node64(c_p1, s3))),
% 49.72/32.35 inference(modus_ponens,[status(thm)],[9452, 9451])).
% 49.72/32.35 tff(9454,plain,
% 49.72/32.35 (~node64(c_p1, s3)),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9453, 1482, 6607])).
% 49.72/32.35 tff(9455,plain,
% 49.72/32.35 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node65(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node65(c_p1, s3)))),
% 49.72/32.35 inference(rewrite,[status(thm)],[])).
% 49.72/32.35 tff(9456,plain,
% 49.72/32.35 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node65(c_p1, s3)))),
% 49.72/32.35 inference(quant_inst,[status(thm)],[])).
% 49.72/32.35 tff(9457,plain,
% 49.72/32.35 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node65(c_p1, s3))),
% 49.72/32.35 inference(modus_ponens,[status(thm)],[9456, 9455])).
% 49.72/32.35 tff(9458,plain,
% 49.72/32.35 (~node65(c_p1, s3)),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9457, 1457, 6607])).
% 49.72/32.35 tff(9459,plain,
% 49.72/32.35 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node62(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node62(c_p1, s3)))),
% 49.72/32.35 inference(rewrite,[status(thm)],[])).
% 49.72/32.35 tff(9460,plain,
% 49.72/32.35 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node62(c_p1, s3)))),
% 49.72/32.35 inference(quant_inst,[status(thm)],[])).
% 49.72/32.35 tff(9461,plain,
% 49.72/32.35 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node62(c_p1, s3))),
% 49.72/32.35 inference(modus_ponens,[status(thm)],[9460, 9459])).
% 49.72/32.35 tff(9462,plain,
% 49.72/32.35 (~node62(c_p1, s3)),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9461, 1493, 6607])).
% 49.72/32.35 tff(9463,assumption,(~node63(c_p1, s3)), introduced(assumption)).
% 49.72/32.35 tff(9464,plain,
% 49.72/32.35 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node63(c_p1, s3) | node62(c_p1, s3) | node65(c_p1, s3) | node64(c_p1, s3) | m_processor_v_cmd(c_p1, s3, c_idle) | node66(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node63(c_p1, s3) | node62(c_p1, s3) | node65(c_p1, s3) | node64(c_p1, s3) | m_processor_v_cmd(c_p1, s3, c_idle) | node66(c_p1, s3))),
% 49.72/32.35 inference(rewrite,[status(thm)],[])).
% 49.72/32.35 tff(9465,plain,
% 49.72/32.35 ((m_processor_v_cmd(c_p1, s3, c_idle) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | node65(c_p1, s3) | node66(c_p1, s3)) <=> (node63(c_p1, s3) | node62(c_p1, s3) | node65(c_p1, s3) | node64(c_p1, s3) | m_processor_v_cmd(c_p1, s3, c_idle) | node66(c_p1, s3))),
% 49.72/32.35 inference(rewrite,[status(thm)],[])).
% 49.72/32.35 tff(9466,plain,
% 49.72/32.35 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_idle) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | node65(c_p1, s3) | node66(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node63(c_p1, s3) | node62(c_p1, s3) | node65(c_p1, s3) | node64(c_p1, s3) | m_processor_v_cmd(c_p1, s3, c_idle) | node66(c_p1, s3)))),
% 49.72/32.35 inference(monotonicity,[status(thm)],[9465])).
% 49.72/32.35 tff(9467,plain,
% 49.72/32.35 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_idle) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | node65(c_p1, s3) | node66(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node63(c_p1, s3) | node62(c_p1, s3) | node65(c_p1, s3) | node64(c_p1, s3) | m_processor_v_cmd(c_p1, s3, c_idle) | node66(c_p1, s3))),
% 49.72/32.35 inference(transitivity,[status(thm)],[9466, 9464])).
% 49.72/32.35 tff(9468,plain,
% 49.72/32.35 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_idle) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | node65(c_p1, s3) | node66(c_p1, s3))),
% 49.72/32.35 inference(quant_inst,[status(thm)],[])).
% 49.72/32.35 tff(9469,plain,
% 49.72/32.35 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node63(c_p1, s3) | node62(c_p1, s3) | node65(c_p1, s3) | node64(c_p1, s3) | m_processor_v_cmd(c_p1, s3, c_idle) | node66(c_p1, s3)),
% 49.72/32.35 inference(modus_ponens,[status(thm)],[9468, 9467])).
% 49.72/32.35 tff(9470,plain,
% 49.72/32.35 (node62(c_p1, s3) | node65(c_p1, s3) | node64(c_p1, s3) | node66(c_p1, s3)),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9469, 1508, 9463, 9446])).
% 49.72/32.35 tff(9471,plain,
% 49.72/32.35 ($false),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9470, 9462, 9458, 9454, 9450])).
% 49.72/32.35 tff(9472,plain,(m_processor_v_master(c_p1, s3) | node63(c_p1, s3) | m_processor_v_cmd(c_p1, s3, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.35 tff(9473,plain,
% 49.72/32.35 (node63(c_p1, s3)),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9472, 6607, 9446])).
% 49.72/32.35 tff(9474,plain,
% 49.72/32.35 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node63(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node63(c_p1, s3)))),
% 49.72/32.35 inference(rewrite,[status(thm)],[])).
% 49.72/32.35 tff(9475,plain,
% 49.72/32.35 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node63(c_p1, s3)))),
% 49.72/32.35 inference(quant_inst,[status(thm)],[])).
% 49.72/32.35 tff(9476,plain,
% 49.72/32.35 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node63(c_p1, s3))),
% 49.72/32.35 inference(modus_ponens,[status(thm)],[9475, 9474])).
% 49.72/32.35 tff(9477,plain,
% 49.72/32.35 ($false),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9476, 1469, 9473, 6607])).
% 49.72/32.35 tff(9478,plain,(m_processor_v_master(c_p1, s3) | m_processor_v_cmd(c_p1, s3, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.35 tff(9479,plain,
% 49.72/32.35 (m_processor_v_cmd(c_p1, s3, c_idle)),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9478, 9445])).
% 49.72/32.35 tff(9480,assumption,(node17(s3)), introduced(assumption)).
% 49.72/32.35 tff(9481,assumption,(m_processor_v_master(c_p0, s3)), introduced(assumption)).
% 49.72/32.35 tff(9482,plain,
% 49.72/32.35 (((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p0, s3)) | (~node17(s3)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | (~m_processor_v_master(c_p0, s3)) | (~node17(s3)))),
% 49.72/32.35 inference(rewrite,[status(thm)],[])).
% 49.72/32.35 tff(9483,plain,
% 49.72/32.35 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p0, s3)) | (~node17(s3)))),
% 49.72/32.35 inference(quant_inst,[status(thm)],[])).
% 49.72/32.35 tff(9484,plain,
% 49.72/32.35 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | (~m_processor_v_master(c_p0, s3)) | (~node17(s3))),
% 49.72/32.35 inference(modus_ponens,[status(thm)],[9483, 9482])).
% 49.72/32.35 tff(9485,plain,
% 49.72/32.35 ($false),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9484, 1275, 9481, 9480])).
% 49.72/32.35 tff(9486,plain,((~m_processor_v_master(c_p0, s3)) | (~node17(s3))), inference(lemma,lemma(discharge,[]))).
% 49.72/32.35 tff(9487,plain,
% 49.72/32.35 (~node17(s3)),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9486, 9441])).
% 49.72/32.35 tff(9488,assumption,(~node17(s3)), introduced(assumption)).
% 49.72/32.35 tff(9489,assumption,(m_memory_v_master(c_m, s3)), introduced(assumption)).
% 49.72/32.35 tff(9490,plain,
% 49.72/32.35 (((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | (node17(s3) | (~m_memory_v_master(c_m, s3)))) <=> ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | node17(s3) | (~m_memory_v_master(c_m, s3)))),
% 49.72/32.35 inference(rewrite,[status(thm)],[])).
% 49.72/32.35 tff(9491,plain,
% 49.72/32.35 ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | (node17(s3) | (~m_memory_v_master(c_m, s3)))),
% 49.72/32.35 inference(quant_inst,[status(thm)],[])).
% 49.72/32.35 tff(9492,plain,
% 49.72/32.35 ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | node17(s3) | (~m_memory_v_master(c_m, s3))),
% 49.72/32.35 inference(modus_ponens,[status(thm)],[9491, 9490])).
% 49.72/32.35 tff(9493,plain,
% 49.72/32.35 ($false),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9492, 1290, 9489, 9488])).
% 49.72/32.35 tff(9494,plain,(node17(s3) | (~m_memory_v_master(c_m, s3))), inference(lemma,lemma(discharge,[]))).
% 49.72/32.35 tff(9495,plain,
% 49.72/32.35 (~m_memory_v_master(c_m, s3)),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9494, 9487])).
% 49.72/32.35 tff(9496,assumption,(node29(c_m, s3)), introduced(assumption)).
% 49.72/32.35 tff(9497,assumption,(~m_memory_v_master(c_m, s3)), introduced(assumption)).
% 49.72/32.35 tff(9498,plain,
% 49.72/32.35 (((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | (m_memory_v_master(c_m, s3) | (~node29(c_m, s3)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | m_memory_v_master(c_m, s3) | (~node29(c_m, s3)))),
% 49.72/32.35 inference(rewrite,[status(thm)],[])).
% 49.72/32.35 tff(9499,plain,
% 49.72/32.35 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | (m_memory_v_master(c_m, s3) | (~node29(c_m, s3)))),
% 49.72/32.35 inference(quant_inst,[status(thm)],[])).
% 49.72/32.35 tff(9500,plain,
% 49.72/32.35 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | m_memory_v_master(c_m, s3) | (~node29(c_m, s3))),
% 49.72/32.35 inference(modus_ponens,[status(thm)],[9499, 9498])).
% 49.72/32.35 tff(9501,plain,
% 49.72/32.35 ($false),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9500, 1305, 9497, 9496])).
% 49.72/32.35 tff(9502,plain,((~node29(c_m, s3)) | m_memory_v_master(c_m, s3)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.35 tff(9503,plain,
% 49.72/32.35 (~node29(c_m, s3)),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9502, 9495])).
% 49.72/32.35 tff(9504,assumption,(~node29(c_m, s3)), introduced(assumption)).
% 49.72/32.35 tff(9505,assumption,(~m_memory_v_cmd(c_m, s3, c_idle)), introduced(assumption)).
% 49.72/32.35 tff(9506,plain,
% 49.72/32.35 (((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | (node29(c_m, s3) | m_memory_v_cmd(c_m, s3, c_idle))) <=> ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | node29(c_m, s3) | m_memory_v_cmd(c_m, s3, c_idle))),
% 49.72/32.35 inference(rewrite,[status(thm)],[])).
% 49.72/32.35 tff(9507,plain,
% 49.72/32.35 ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | (node29(c_m, s3) | m_memory_v_cmd(c_m, s3, c_idle))),
% 49.72/32.35 inference(quant_inst,[status(thm)],[])).
% 49.72/32.35 tff(9508,plain,
% 49.72/32.35 ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | node29(c_m, s3) | m_memory_v_cmd(c_m, s3, c_idle)),
% 49.72/32.35 inference(modus_ponens,[status(thm)],[9507, 9506])).
% 49.72/32.35 tff(9509,plain,
% 49.72/32.35 ($false),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9508, 1320, 9505, 9504])).
% 49.72/32.35 tff(9510,plain,(node29(c_m, s3) | m_memory_v_cmd(c_m, s3, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.35 tff(9511,plain,
% 49.72/32.35 (m_memory_v_cmd(c_m, s3, c_idle)),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9510, 9503])).
% 49.72/32.35 tff(9512,plain,
% 49.72/32.35 (~m_processor_v_state(c_p0, s3, c_shared)),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9412, 9377])).
% 49.72/32.35 tff(9513,plain,
% 49.72/32.35 (~m_processor_v_state(c_p0, s3, c_owned)),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[2775, 2622, 9376])).
% 49.72/32.35 tff(9514,assumption,(~node34(c_p0, s3, s4)), introduced(assumption)).
% 49.72/32.35 tff(9515,plain,
% 49.72/32.35 (m_processor_v_master(c_p0, s3)),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9438, 2723, 2642, 1095])).
% 49.72/32.35 tff(9516,plain,
% 49.72/32.35 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | (~node38(c_p0, s3, s4)) | node34(c_p0, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | (~node38(c_p0, s3, s4)) | node34(c_p0, s3, s4))),
% 49.72/32.35 inference(rewrite,[status(thm)],[])).
% 49.72/32.35 tff(9517,plain,
% 49.72/32.35 ((node34(c_p0, s3, s4) | (~m_processor_v_master(c_p0, s3)) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3)) <=> ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | (~node38(c_p0, s3, s4)) | node34(c_p0, s3, s4))),
% 49.72/32.35 inference(rewrite,[status(thm)],[])).
% 49.72/32.35 tff(9518,plain,
% 49.72/32.35 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s3, s4) | (~m_processor_v_master(c_p0, s3)) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | (~node38(c_p0, s3, s4)) | node34(c_p0, s3, s4)))),
% 49.72/32.35 inference(monotonicity,[status(thm)],[9517])).
% 49.72/32.35 tff(9519,plain,
% 49.72/32.35 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s3, s4) | (~m_processor_v_master(c_p0, s3)) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | (~node38(c_p0, s3, s4)) | node34(c_p0, s3, s4))),
% 49.72/32.35 inference(transitivity,[status(thm)],[9518, 9516])).
% 49.72/32.35 tff(9520,plain,
% 49.72/32.35 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s3, s4) | (~m_processor_v_master(c_p0, s3)) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3))),
% 49.72/32.35 inference(quant_inst,[status(thm)],[])).
% 49.72/32.35 tff(9521,plain,
% 49.72/32.35 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | (~node38(c_p0, s3, s4)) | node34(c_p0, s3, s4)),
% 49.72/32.35 inference(modus_ponens,[status(thm)],[9520, 9519])).
% 49.72/32.35 tff(9522,plain,
% 49.72/32.35 ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node34(c_p0, s3, s4)),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9521, 283, 9396])).
% 49.72/32.35 tff(9523,plain,
% 49.72/32.35 (m_processor_v_abort(c_p0, s3)),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9522, 9515, 9514])).
% 49.72/32.35 tff(9524,plain,
% 49.72/32.35 ($false),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9403, 9523, 9417])).
% 49.72/32.35 tff(9525,plain,(m_processor_v_state(c_p0, s3, c_shared) | node34(c_p0, s3, s4) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_state(c_p0, s3, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.35 tff(9526,plain,
% 49.72/32.35 (node34(c_p0, s3, s4)),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9525, 9379, 9513, 9512])).
% 49.72/32.35 tff(9527,plain,
% 49.72/32.35 (~m_processor_v_state(c_p0, s4, c_shared)),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[6888, 9378])).
% 49.72/32.35 tff(9528,plain,
% 49.72/32.35 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))),
% 49.72/32.35 inference(rewrite,[status(thm)],[])).
% 49.72/32.35 tff(9529,plain,
% 49.72/32.35 (((~node34(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared))) <=> (m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))),
% 49.72/32.35 inference(rewrite,[status(thm)],[])).
% 49.72/32.35 tff(9530,plain,
% 49.72/32.35 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared))))),
% 49.72/32.35 inference(monotonicity,[status(thm)],[9529])).
% 49.72/32.35 tff(9531,plain,
% 49.72/32.35 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))),
% 49.72/32.35 inference(transitivity,[status(thm)],[9530, 9528])).
% 49.72/32.35 tff(9532,plain,
% 49.72/32.35 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))),
% 49.72/32.35 inference(quant_inst,[status(thm)],[])).
% 49.72/32.35 tff(9533,plain,
% 49.72/32.35 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared))),
% 49.72/32.35 inference(modus_ponens,[status(thm)],[9532, 9531])).
% 49.72/32.35 tff(9534,plain,
% 49.72/32.35 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9533, 416, 9527, 9526])).
% 49.72/32.35 tff(9535,assumption,(~node2(s3)), introduced(assumption)).
% 49.72/32.35 tff(9536,plain,
% 49.72/32.35 ((~![X: $i] : node2(X)) | node2(s3)),
% 49.72/32.35 inference(quant_inst,[status(thm)],[])).
% 49.72/32.35 tff(9537,plain,
% 49.72/32.35 ($false),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9536, 1215, 9535])).
% 49.72/32.35 tff(9538,plain,(node2(s3)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.35 tff(9539,assumption,(m_main_v_CMD(s3, c_read_h_shared)), introduced(assumption)).
% 49.72/32.35 tff(9540,assumption,(~m_processor_v_CMD(c_p0, s3, c_read_h_shared)), introduced(assumption)).
% 49.72/32.35 tff(9541,plain,
% 49.72/32.35 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | (~node2(s3)) | (~m_main_v_CMD(s3, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | (~node2(s3)) | (~m_main_v_CMD(s3, c_read_h_shared)))),
% 49.72/32.35 inference(rewrite,[status(thm)],[])).
% 49.72/32.35 tff(9542,plain,
% 49.72/32.35 (((~m_main_v_CMD(s3, c_read_h_shared)) | (~node2(s3)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared)) <=> (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | (~node2(s3)) | (~m_main_v_CMD(s3, c_read_h_shared)))),
% 49.72/32.35 inference(rewrite,[status(thm)],[])).
% 49.72/32.35 tff(9543,plain,
% 49.72/32.35 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~node2(s3)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | (~node2(s3)) | (~m_main_v_CMD(s3, c_read_h_shared))))),
% 49.72/32.35 inference(monotonicity,[status(thm)],[9542])).
% 49.72/32.35 tff(9544,plain,
% 49.72/32.35 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~node2(s3)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | (~node2(s3)) | (~m_main_v_CMD(s3, c_read_h_shared)))),
% 49.72/32.35 inference(transitivity,[status(thm)],[9543, 9541])).
% 49.72/32.35 tff(9545,plain,
% 49.72/32.35 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~node2(s3)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared))),
% 49.72/32.35 inference(quant_inst,[status(thm)],[])).
% 49.72/32.35 tff(9546,plain,
% 49.72/32.35 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | (~node2(s3)) | (~m_main_v_CMD(s3, c_read_h_shared))),
% 49.72/32.35 inference(modus_ponens,[status(thm)],[9545, 9544])).
% 49.72/32.35 tff(9547,plain,
% 49.72/32.35 ($false),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9546, 1228, 9540, 9539, 9538])).
% 49.72/32.35 tff(9548,plain,((~m_main_v_CMD(s3, c_read_h_shared)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.35 tff(9549,plain,
% 49.72/32.35 (~m_main_v_CMD(s3, c_read_h_shared)),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9548, 9534])).
% 49.72/32.35 tff(9550,assumption,(m_memory_v_cmd(c_m, s3, c_idle)), introduced(assumption)).
% 49.72/32.35 tff(9551,plain,
% 49.72/32.35 (m_processor_v_master(c_p0, s3)),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9440, 5494, 2622, 1095])).
% 49.72/32.35 tff(9552,plain,
% 49.72/32.35 (((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | ((~node16(s3)) | (~m_processor_v_master(c_p0, s3)))) <=> ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | (~node16(s3)) | (~m_processor_v_master(c_p0, s3)))),
% 49.72/32.35 inference(rewrite,[status(thm)],[])).
% 49.72/32.35 tff(9553,plain,
% 49.72/32.35 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | ((~node16(s3)) | (~m_processor_v_master(c_p0, s3)))),
% 49.72/32.35 inference(quant_inst,[status(thm)],[])).
% 49.72/32.35 tff(9554,plain,
% 49.72/32.35 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | (~node16(s3)) | (~m_processor_v_master(c_p0, s3))),
% 49.72/32.35 inference(modus_ponens,[status(thm)],[9553, 9552])).
% 49.72/32.35 tff(9555,plain,
% 49.72/32.35 (~node16(s3)),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9554, 1530, 9551])).
% 49.72/32.35 tff(9556,assumption,(~node16(s3)), introduced(assumption)).
% 49.72/32.35 tff(9557,assumption,(m_processor_v_master(c_p2, s3)), introduced(assumption)).
% 49.72/32.35 tff(9558,plain,
% 49.72/32.35 (((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | (node16(s3) | (~m_processor_v_master(c_p2, s3)))) <=> ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | node16(s3) | (~m_processor_v_master(c_p2, s3)))),
% 49.72/32.35 inference(rewrite,[status(thm)],[])).
% 49.72/32.35 tff(9559,plain,
% 49.72/32.35 ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | (node16(s3) | (~m_processor_v_master(c_p2, s3)))),
% 49.72/32.35 inference(quant_inst,[status(thm)],[])).
% 49.72/32.35 tff(9560,plain,
% 49.72/32.35 ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | node16(s3) | (~m_processor_v_master(c_p2, s3))),
% 49.72/32.35 inference(modus_ponens,[status(thm)],[9559, 9558])).
% 49.72/32.35 tff(9561,plain,
% 49.72/32.35 ($false),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9560, 1545, 9557, 9556])).
% 49.72/32.35 tff(9562,plain,(node16(s3) | (~m_processor_v_master(c_p2, s3))), inference(lemma,lemma(discharge,[]))).
% 49.72/32.35 tff(9563,plain,
% 49.72/32.35 (~m_processor_v_master(c_p2, s3)),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9562, 9555])).
% 49.72/32.35 tff(9564,assumption,(~m_processor_v_master(c_p2, s3)), introduced(assumption)).
% 49.72/32.35 tff(9565,plain,
% 49.72/32.35 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p2, s3) | (~node62(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p2, s3) | (~node62(c_p2, s3)))),
% 49.72/32.35 inference(rewrite,[status(thm)],[])).
% 49.72/32.35 tff(9566,plain,
% 49.72/32.35 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p2, s3) | (~node62(c_p2, s3)))),
% 49.72/32.35 inference(quant_inst,[status(thm)],[])).
% 49.72/32.35 tff(9567,plain,
% 49.72/32.35 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p2, s3) | (~node62(c_p2, s3))),
% 49.72/32.35 inference(modus_ponens,[status(thm)],[9566, 9565])).
% 49.72/32.35 tff(9568,plain,
% 49.72/32.35 (~node62(c_p2, s3)),
% 49.72/32.35 inference(unit_resolution,[status(thm)],[9567, 1493, 9564])).
% 49.72/32.35 tff(9569,plain,
% 49.72/32.35 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p2, s3) | (~node63(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p2, s3) | (~node63(c_p2, s3)))),
% 49.72/32.35 inference(rewrite,[status(thm)],[])).
% 49.72/32.35 tff(9570,plain,
% 49.72/32.35 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p2, s3) | (~node63(c_p2, s3)))),
% 49.72/32.35 inference(quant_inst,[status(thm)],[])).
% 49.72/32.35 tff(9571,plain,
% 49.72/32.35 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p2, s3) | (~node63(c_p2, s3))),
% 49.72/32.35 inference(modus_ponens,[status(thm)],[9570, 9569])).
% 49.72/32.35 tff(9572,plain,
% 49.72/32.36 (~node63(c_p2, s3)),
% 49.72/32.36 inference(unit_resolution,[status(thm)],[9571, 1469, 9564])).
% 49.72/32.36 tff(9573,plain,
% 49.72/32.36 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p2, s3) | (~node64(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p2, s3) | (~node64(c_p2, s3)))),
% 49.72/32.36 inference(rewrite,[status(thm)],[])).
% 49.72/32.36 tff(9574,plain,
% 49.72/32.36 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p2, s3) | (~node64(c_p2, s3)))),
% 49.72/32.36 inference(quant_inst,[status(thm)],[])).
% 49.72/32.36 tff(9575,plain,
% 49.72/32.36 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p2, s3) | (~node64(c_p2, s3))),
% 49.72/32.36 inference(modus_ponens,[status(thm)],[9574, 9573])).
% 49.72/32.36 tff(9576,plain,
% 49.72/32.36 (~node64(c_p2, s3)),
% 49.72/32.36 inference(unit_resolution,[status(thm)],[9575, 1482, 9564])).
% 49.72/32.36 tff(9577,plain,
% 49.72/32.36 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p2, s3) | (~node66(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p2, s3) | (~node66(c_p2, s3)))),
% 49.72/32.36 inference(rewrite,[status(thm)],[])).
% 49.72/32.36 tff(9578,plain,
% 49.72/32.36 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p2, s3) | (~node66(c_p2, s3)))),
% 49.72/32.36 inference(quant_inst,[status(thm)],[])).
% 49.72/32.36 tff(9579,plain,
% 49.72/32.36 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p2, s3) | (~node66(c_p2, s3))),
% 49.72/32.36 inference(modus_ponens,[status(thm)],[9578, 9577])).
% 49.72/32.36 tff(9580,plain,
% 49.72/32.36 (~node66(c_p2, s3)),
% 49.72/32.36 inference(unit_resolution,[status(thm)],[9579, 1446, 9564])).
% 49.72/32.36 tff(9581,plain,
% 49.72/32.36 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p2, s3) | (~node65(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p2, s3) | (~node65(c_p2, s3)))),
% 49.72/32.36 inference(rewrite,[status(thm)],[])).
% 49.72/32.36 tff(9582,plain,
% 49.72/32.36 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p2, s3) | (~node65(c_p2, s3)))),
% 49.72/32.36 inference(quant_inst,[status(thm)],[])).
% 49.72/32.36 tff(9583,plain,
% 49.72/32.36 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p2, s3) | (~node65(c_p2, s3))),
% 49.72/32.36 inference(modus_ponens,[status(thm)],[9582, 9581])).
% 49.72/32.36 tff(9584,plain,
% 49.72/32.36 (~node65(c_p2, s3)),
% 49.72/32.36 inference(unit_resolution,[status(thm)],[9583, 1457, 9564])).
% 49.72/32.36 tff(9585,assumption,(~m_processor_v_cmd(c_p2, s3, c_idle)), introduced(assumption)).
% 49.72/32.36 tff(9586,plain,
% 49.72/32.36 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node66(c_p2, s3) | node65(c_p2, s3) | node64(c_p2, s3) | node63(c_p2, s3) | node62(c_p2, s3) | m_processor_v_cmd(c_p2, s3, c_idle))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node66(c_p2, s3) | node65(c_p2, s3) | node64(c_p2, s3) | node63(c_p2, s3) | node62(c_p2, s3) | m_processor_v_cmd(c_p2, s3, c_idle))),
% 49.72/32.36 inference(rewrite,[status(thm)],[])).
% 49.72/32.36 tff(9587,plain,
% 49.72/32.36 ((m_processor_v_cmd(c_p2, s3, c_idle) | node62(c_p2, s3) | node63(c_p2, s3) | node64(c_p2, s3) | node65(c_p2, s3) | node66(c_p2, s3)) <=> (node66(c_p2, s3) | node65(c_p2, s3) | node64(c_p2, s3) | node63(c_p2, s3) | node62(c_p2, s3) | m_processor_v_cmd(c_p2, s3, c_idle))),
% 49.72/32.36 inference(rewrite,[status(thm)],[])).
% 49.72/32.36 tff(9588,plain,
% 49.72/32.36 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s3, c_idle) | node62(c_p2, s3) | node63(c_p2, s3) | node64(c_p2, s3) | node65(c_p2, s3) | node66(c_p2, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node66(c_p2, s3) | node65(c_p2, s3) | node64(c_p2, s3) | node63(c_p2, s3) | node62(c_p2, s3) | m_processor_v_cmd(c_p2, s3, c_idle)))),
% 49.72/32.36 inference(monotonicity,[status(thm)],[9587])).
% 49.72/32.36 tff(9589,plain,
% 49.72/32.36 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s3, c_idle) | node62(c_p2, s3) | node63(c_p2, s3) | node64(c_p2, s3) | node65(c_p2, s3) | node66(c_p2, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node66(c_p2, s3) | node65(c_p2, s3) | node64(c_p2, s3) | node63(c_p2, s3) | node62(c_p2, s3) | m_processor_v_cmd(c_p2, s3, c_idle))),
% 49.72/32.36 inference(transitivity,[status(thm)],[9588, 9586])).
% 49.72/32.36 tff(9590,plain,
% 49.72/32.36 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s3, c_idle) | node62(c_p2, s3) | node63(c_p2, s3) | node64(c_p2, s3) | node65(c_p2, s3) | node66(c_p2, s3))),
% 49.72/32.36 inference(quant_inst,[status(thm)],[])).
% 49.72/32.36 tff(9591,plain,
% 49.72/32.36 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node66(c_p2, s3) | node65(c_p2, s3) | node64(c_p2, s3) | node63(c_p2, s3) | node62(c_p2, s3) | m_processor_v_cmd(c_p2, s3, c_idle)),
% 49.72/32.36 inference(modus_ponens,[status(thm)],[9590, 9589])).
% 49.72/32.36 tff(9592,plain,
% 49.72/32.36 (node66(c_p2, s3) | node65(c_p2, s3) | node64(c_p2, s3) | node63(c_p2, s3) | node62(c_p2, s3)),
% 49.72/32.36 inference(unit_resolution,[status(thm)],[9591, 1508, 9585])).
% 49.72/32.36 tff(9593,plain,
% 49.72/32.36 ($false),
% 49.72/32.36 inference(unit_resolution,[status(thm)],[9592, 9584, 9580, 9576, 9572, 9568])).
% 49.72/32.36 tff(9594,plain,(m_processor_v_master(c_p2, s3) | m_processor_v_cmd(c_p2, s3, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.36 tff(9595,plain,
% 49.72/32.36 (m_processor_v_cmd(c_p2, s3, c_idle)),
% 49.72/32.36 inference(unit_resolution,[status(thm)],[9594, 9563])).
% 49.72/32.36 tff(9596,assumption,(m_processor_v_cmd(c_p1, s3, c_idle)), introduced(assumption)).
% 49.72/32.36 tff(9597,plain,
% 49.72/32.36 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | ((~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node8(s3))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node8(s3))),
% 49.72/32.36 inference(rewrite,[status(thm)],[])).
% 49.72/32.36 tff(9598,plain,
% 49.72/32.36 ((node8(s3) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle))) <=> ((~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node8(s3))),
% 49.72/32.36 inference(rewrite,[status(thm)],[])).
% 49.72/32.36 tff(9599,plain,
% 49.72/32.36 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s3) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | ((~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node8(s3)))),
% 49.72/32.36 inference(monotonicity,[status(thm)],[9598])).
% 49.72/32.36 tff(9600,plain,
% 49.72/32.36 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s3) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node8(s3))),
% 49.72/32.36 inference(transitivity,[status(thm)],[9599, 9597])).
% 49.72/32.36 tff(9601,plain,
% 49.72/32.36 ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s3) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)))),
% 49.72/32.36 inference(quant_inst,[status(thm)],[])).
% 49.72/32.36 tff(9602,plain,
% 49.72/32.36 ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node8(s3)),
% 49.72/32.36 inference(modus_ponens,[status(thm)],[9601, 9600])).
% 49.72/32.36 tff(9603,plain,
% 49.72/32.36 ((~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node8(s3)),
% 49.72/32.36 inference(unit_resolution,[status(thm)],[9602, 1593, 9596])).
% 49.72/32.36 tff(9604,plain,
% 49.72/32.36 (node8(s3)),
% 49.72/32.36 inference(unit_resolution,[status(thm)],[9603, 9595, 9550])).
% 49.72/32.36 tff(9605,assumption,(~m_main_v_CMD(s3, c_read_h_shared)), introduced(assumption)).
% 49.72/32.36 tff(9606,plain,
% 49.72/32.36 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_read_h_shared)) | m_main_v_CMD(s3, c_read_h_shared))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_read_h_shared)) | m_main_v_CMD(s3, c_read_h_shared))),
% 49.72/32.36 inference(rewrite,[status(thm)],[])).
% 49.72/32.36 tff(9607,plain,
% 49.72/32.36 ((m_main_v_CMD(s3, c_read_h_shared) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_read_h_shared))) <=> ((~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_read_h_shared)) | m_main_v_CMD(s3, c_read_h_shared))),
% 49.72/32.36 inference(rewrite,[status(thm)],[])).
% 49.72/32.36 tff(9608,plain,
% 49.72/32.36 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s3, c_read_h_shared) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_read_h_shared)) | m_main_v_CMD(s3, c_read_h_shared)))),
% 49.72/32.36 inference(monotonicity,[status(thm)],[9607])).
% 49.72/32.36 tff(9609,plain,
% 49.72/32.36 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s3, c_read_h_shared) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_read_h_shared)) | m_main_v_CMD(s3, c_read_h_shared))),
% 49.72/32.36 inference(transitivity,[status(thm)],[9608, 9606])).
% 49.72/32.36 tff(9610,plain,
% 49.72/32.36 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s3, c_read_h_shared) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_read_h_shared)))),
% 49.72/32.36 inference(quant_inst,[status(thm)],[])).
% 49.72/32.36 tff(9611,plain,
% 49.72/32.36 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_read_h_shared)) | m_main_v_CMD(s3, c_read_h_shared)),
% 49.72/32.36 inference(modus_ponens,[status(thm)],[9610, 9609])).
% 49.72/32.36 tff(9612,plain,
% 49.72/32.36 ((~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_read_h_shared))),
% 49.72/32.36 inference(unit_resolution,[status(thm)],[9611, 1669, 9605])).
% 49.72/32.36 tff(9613,plain,
% 49.72/32.36 (~m_processor_v_cmd(c_p0, s3, c_read_h_shared)),
% 49.72/32.36 inference(unit_resolution,[status(thm)],[9612, 9604])).
% 49.72/32.36 tff(9614,assumption,(~m_main_v_CMD(s3, c_read_h_owned)), introduced(assumption)).
% 49.72/32.36 tff(9615,plain,
% 49.72/32.36 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_read_h_owned)) | m_main_v_CMD(s3, c_read_h_owned))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_read_h_owned)) | m_main_v_CMD(s3, c_read_h_owned))),
% 49.72/32.36 inference(rewrite,[status(thm)],[])).
% 49.72/32.36 tff(9616,plain,
% 49.72/32.36 ((m_main_v_CMD(s3, c_read_h_owned) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_read_h_owned))) <=> ((~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_read_h_owned)) | m_main_v_CMD(s3, c_read_h_owned))),
% 49.72/32.36 inference(rewrite,[status(thm)],[])).
% 49.72/32.36 tff(9617,plain,
% 49.72/32.36 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s3, c_read_h_owned) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_read_h_owned)) | m_main_v_CMD(s3, c_read_h_owned)))),
% 49.72/32.36 inference(monotonicity,[status(thm)],[9616])).
% 49.72/32.36 tff(9618,plain,
% 49.72/32.36 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s3, c_read_h_owned) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_read_h_owned)) | m_main_v_CMD(s3, c_read_h_owned))),
% 49.72/32.36 inference(transitivity,[status(thm)],[9617, 9615])).
% 49.72/32.36 tff(9619,plain,
% 49.72/32.36 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s3, c_read_h_owned) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_read_h_owned)))),
% 49.72/32.36 inference(quant_inst,[status(thm)],[])).
% 49.72/32.36 tff(9620,plain,
% 49.72/32.36 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_read_h_owned)) | m_main_v_CMD(s3, c_read_h_owned)),
% 49.72/32.36 inference(modus_ponens,[status(thm)],[9619, 9618])).
% 49.72/32.36 tff(9621,plain,
% 49.72/32.36 ((~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_read_h_owned))),
% 49.72/32.36 inference(unit_resolution,[status(thm)],[9620, 1669, 9614])).
% 49.72/32.36 tff(9622,plain,
% 49.72/32.36 (~m_processor_v_cmd(c_p0, s3, c_read_h_owned)),
% 49.72/32.36 inference(unit_resolution,[status(thm)],[9621, 9604])).
% 49.72/32.36 tff(9623,plain,
% 49.72/32.36 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p0, s3)) | (~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned) | m_processor_v_cmd(c_p0, s3, c_read_h_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p0, s3)) | (~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned) | m_processor_v_cmd(c_p0, s3, c_read_h_shared))),
% 49.72/32.36 inference(rewrite,[status(thm)],[])).
% 49.72/32.36 tff(9624,plain,
% 49.72/32.36 ((m_processor_v_cmd(c_p0, s3, c_read_h_owned) | m_processor_v_cmd(c_p0, s3, c_read_h_shared) | (~m_processor_v_state(c_p0, s3, c_invalid)) | (~m_processor_v_master(c_p0, s3))) <=> ((~m_processor_v_master(c_p0, s3)) | (~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned) | m_processor_v_cmd(c_p0, s3, c_read_h_shared))),
% 49.72/32.36 inference(rewrite,[status(thm)],[])).
% 49.72/32.36 tff(9625,plain,
% 49.72/32.36 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s3, c_read_h_owned) | m_processor_v_cmd(c_p0, s3, c_read_h_shared) | (~m_processor_v_state(c_p0, s3, c_invalid)) | (~m_processor_v_master(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p0, s3)) | (~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned) | m_processor_v_cmd(c_p0, s3, c_read_h_shared)))),
% 49.72/32.36 inference(monotonicity,[status(thm)],[9624])).
% 49.72/32.36 tff(9626,plain,
% 49.72/32.36 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s3, c_read_h_owned) | m_processor_v_cmd(c_p0, s3, c_read_h_shared) | (~m_processor_v_state(c_p0, s3, c_invalid)) | (~m_processor_v_master(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p0, s3)) | (~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned) | m_processor_v_cmd(c_p0, s3, c_read_h_shared))),
% 49.72/32.36 inference(transitivity,[status(thm)],[9625, 9623])).
% 49.72/32.36 tff(9627,plain,
% 49.72/32.36 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s3, c_read_h_owned) | m_processor_v_cmd(c_p0, s3, c_read_h_shared) | (~m_processor_v_state(c_p0, s3, c_invalid)) | (~m_processor_v_master(c_p0, s3)))),
% 49.72/32.36 inference(quant_inst,[status(thm)],[])).
% 49.72/32.36 tff(9628,plain,
% 49.72/32.36 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p0, s3)) | (~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned) | m_processor_v_cmd(c_p0, s3, c_read_h_shared)),
% 49.72/32.36 inference(modus_ponens,[status(thm)],[9627, 9626])).
% 49.72/32.36 tff(9629,plain,
% 49.72/32.36 ((~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned) | m_processor_v_cmd(c_p0, s3, c_read_h_shared)),
% 49.72/32.36 inference(unit_resolution,[status(thm)],[9628, 1835, 9551])).
% 49.72/32.36 tff(9630,plain,
% 49.72/32.36 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 49.72/32.36 inference(unit_resolution,[status(thm)],[9629, 9622, 9613])).
% 49.72/32.36 tff(9631,plain,
% 49.72/32.36 (~node36(c_p0, s2)),
% 49.72/32.36 inference(unit_resolution,[status(thm)],[2671, 167, 9375])).
% 49.72/32.36 tff(9632,plain,
% 49.72/32.36 (~node32(c_p0, s2, s3)),
% 49.72/32.36 inference(unit_resolution,[status(thm)],[5496, 9630, 5494])).
% 49.72/32.36 tff(9633,plain,
% 49.72/32.36 (~m_processor_v_abort(c_p0, s2)),
% 49.72/32.36 inference(unit_resolution,[status(thm)],[2704, 9632])).
% 49.72/32.36 tff(9634,plain,
% 49.72/32.36 (node37(c_p0, s2, s3)),
% 49.72/32.36 inference(unit_resolution,[status(thm)],[2696, 9633, 2622, 9375, 9631])).
% 49.72/32.36 tff(9635,plain,
% 49.72/32.36 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s2, c_invalid)) | (~node37(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s2, c_invalid)) | (~node37(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_invalid))),
% 49.72/32.36 inference(rewrite,[status(thm)],[])).
% 49.72/32.36 tff(9636,plain,
% 49.72/32.36 (((~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid) | (~node37(c_p0, s2, s3))) <=> ((~m_processor_v_state(c_p0, s2, c_invalid)) | (~node37(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_invalid))),
% 49.72/32.36 inference(rewrite,[status(thm)],[])).
% 49.72/32.36 tff(9637,plain,
% 49.72/32.36 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid) | (~node37(c_p0, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s2, c_invalid)) | (~node37(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_invalid)))),
% 49.72/32.36 inference(monotonicity,[status(thm)],[9636])).
% 49.72/32.36 tff(9638,plain,
% 49.72/32.36 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid) | (~node37(c_p0, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s2, c_invalid)) | (~node37(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_invalid))),
% 49.72/32.36 inference(transitivity,[status(thm)],[9637, 9635])).
% 49.72/32.36 tff(9639,plain,
% 49.72/32.36 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid) | (~node37(c_p0, s2, s3)))),
% 49.72/32.36 inference(quant_inst,[status(thm)],[])).
% 49.72/32.36 tff(9640,plain,
% 49.72/32.36 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s2, c_invalid)) | (~node37(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_invalid)),
% 49.72/32.36 inference(modus_ponens,[status(thm)],[9639, 9638])).
% 49.72/32.36 tff(9641,plain,
% 49.72/32.36 ($false),
% 49.72/32.36 inference(unit_resolution,[status(thm)],[9640, 2411, 5494, 9634, 9630])).
% 49.72/32.36 tff(9642,plain,((~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_master(c_p0, s2) | m_main_v_CMD(s3, c_read_h_shared) | m_main_v_CMD(s3, c_read_h_owned) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | m_processor_v_state(c_p0, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.36 tff(9643,plain,
% 49.72/32.36 (m_main_v_CMD(s3, c_read_h_owned)),
% 49.72/32.36 inference(unit_resolution,[status(thm)],[9642, 9549, 2622, 9379, 9511, 9479, 5494])).
% 49.72/32.36 tff(9644,assumption,(m_main_v_CMD(s3, c_read_h_owned)), introduced(assumption)).
% 49.72/32.36 tff(9645,assumption,(~m_processor_v_CMD(c_p0, s3, c_read_h_owned)), introduced(assumption)).
% 49.72/32.36 tff(9646,plain,
% 49.72/32.36 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node2(s3)) | (~m_main_v_CMD(s3, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node2(s3)) | (~m_main_v_CMD(s3, c_read_h_owned)))),
% 49.72/32.36 inference(rewrite,[status(thm)],[])).
% 49.72/32.36 tff(9647,plain,
% 49.72/32.36 (((~m_main_v_CMD(s3, c_read_h_owned)) | (~node2(s3)) | m_processor_v_CMD(c_p0, s3, c_read_h_owned)) <=> (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node2(s3)) | (~m_main_v_CMD(s3, c_read_h_owned)))),
% 49.72/32.36 inference(rewrite,[status(thm)],[])).
% 49.72/32.36 tff(9648,plain,
% 49.72/32.36 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~node2(s3)) | m_processor_v_CMD(c_p0, s3, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node2(s3)) | (~m_main_v_CMD(s3, c_read_h_owned))))),
% 49.72/32.36 inference(monotonicity,[status(thm)],[9647])).
% 49.72/32.36 tff(9649,plain,
% 49.72/32.36 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~node2(s3)) | m_processor_v_CMD(c_p0, s3, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node2(s3)) | (~m_main_v_CMD(s3, c_read_h_owned)))),
% 49.72/32.36 inference(transitivity,[status(thm)],[9648, 9646])).
% 49.72/32.36 tff(9650,plain,
% 49.72/32.36 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~node2(s3)) | m_processor_v_CMD(c_p0, s3, c_read_h_owned))),
% 49.72/32.36 inference(quant_inst,[status(thm)],[])).
% 49.72/32.36 tff(9651,plain,
% 49.72/32.36 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node2(s3)) | (~m_main_v_CMD(s3, c_read_h_owned))),
% 49.72/32.36 inference(modus_ponens,[status(thm)],[9650, 9649])).
% 49.72/32.36 tff(9652,plain,
% 49.72/32.36 ($false),
% 49.72/32.36 inference(unit_resolution,[status(thm)],[9651, 1228, 9645, 9644, 9538])).
% 49.72/32.36 tff(9653,plain,((~m_main_v_CMD(s3, c_read_h_owned)) | m_processor_v_CMD(c_p0, s3, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.36 tff(9654,plain,
% 49.72/32.36 (m_processor_v_CMD(c_p0, s3, c_read_h_owned)),
% 49.72/32.36 inference(unit_resolution,[status(thm)],[9653, 9643])).
% 49.72/32.36 tff(9655,plain,
% 49.72/32.36 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s3, s4)) | node53(c_p0, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s3, s4)) | node53(c_p0, s3, s4))),
% 49.72/32.36 inference(rewrite,[status(thm)],[])).
% 49.72/32.36 tff(9656,plain,
% 49.72/32.36 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s3, s4)) | node53(c_p0, s3, s4))),
% 49.72/32.36 inference(quant_inst,[status(thm)],[])).
% 49.72/32.36 tff(9657,plain,
% 49.72/32.36 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s3, s4)) | node53(c_p0, s3, s4)),
% 49.72/32.36 inference(modus_ponens,[status(thm)],[9656, 9655])).
% 49.72/32.36 tff(9658,plain,
% 49.72/32.36 (node53(c_p0, s3, s4)),
% 49.72/32.36 inference(unit_resolution,[status(thm)],[9657, 575, 6623])).
% 49.72/32.36 tff(9659,plain,
% 49.72/32.36 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | m_processor_v_waiting(c_p0, s4) | node47(c_p0, s3) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | (~node53(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | m_processor_v_waiting(c_p0, s4) | node47(c_p0, s3) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | (~node53(c_p0, s3, s4)))),
% 49.72/32.36 inference(rewrite,[status(thm)],[])).
% 49.72/32.36 tff(9660,plain,
% 49.72/32.37 ((m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node47(c_p0, s3) | (~node53(c_p0, s3, s4))) <=> ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | m_processor_v_waiting(c_p0, s4) | node47(c_p0, s3) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | (~node53(c_p0, s3, s4)))),
% 49.72/32.37 inference(rewrite,[status(thm)],[])).
% 49.72/32.37 tff(9661,plain,
% 49.72/32.37 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node47(c_p0, s3) | (~node53(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | m_processor_v_waiting(c_p0, s4) | node47(c_p0, s3) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | (~node53(c_p0, s3, s4))))),
% 49.72/32.37 inference(monotonicity,[status(thm)],[9660])).
% 49.72/32.37 tff(9662,plain,
% 49.72/32.37 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node47(c_p0, s3) | (~node53(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | m_processor_v_waiting(c_p0, s4) | node47(c_p0, s3) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | (~node53(c_p0, s3, s4)))),
% 49.72/32.37 inference(transitivity,[status(thm)],[9661, 9659])).
% 49.72/32.37 tff(9663,plain,
% 49.72/32.37 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node47(c_p0, s3) | (~node53(c_p0, s3, s4)))),
% 49.72/32.37 inference(quant_inst,[status(thm)],[])).
% 49.72/32.37 tff(9664,plain,
% 49.72/32.37 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | m_processor_v_waiting(c_p0, s4) | node47(c_p0, s3) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | (~node53(c_p0, s3, s4))),
% 49.72/32.37 inference(modus_ponens,[status(thm)],[9663, 9662])).
% 49.72/32.37 tff(9665,plain,
% 49.72/32.37 ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | m_processor_v_waiting(c_p0, s4) | node47(c_p0, s3) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned))),
% 49.72/32.37 inference(unit_resolution,[status(thm)],[9664, 640, 9658])).
% 49.72/32.37 tff(9666,plain,
% 49.72/32.37 (node47(c_p0, s3)),
% 49.72/32.37 inference(unit_resolution,[status(thm)],[9665, 9654, 9441, 9404, 9374])).
% 49.72/32.37 tff(9667,plain,
% 49.72/32.37 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | (~node47(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | (~node47(c_p0, s3)))),
% 49.72/32.37 inference(rewrite,[status(thm)],[])).
% 49.72/32.37 tff(9668,plain,
% 49.72/32.37 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | (~node47(c_p0, s3)))),
% 49.72/32.37 inference(quant_inst,[status(thm)],[])).
% 49.72/32.37 tff(9669,plain,
% 49.72/32.37 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | (~node47(c_p0, s3))),
% 49.72/32.37 inference(modus_ponens,[status(thm)],[9668, 9667])).
% 49.72/32.37 tff(9670,plain,
% 49.72/32.37 ($false),
% 49.72/32.37 inference(unit_resolution,[status(thm)],[9669, 657, 9534, 9666])).
% 49.72/32.37 tff(9671,plain,((~node56(c_p0, s4)) | m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 49.72/32.37 tff(9672,plain,
% 49.72/32.37 (m_processor_v_master(c_p0, s2)),
% 49.72/32.37 inference(unit_resolution,[status(thm)],[9671, 9370, 9368])).
% 49.72/32.37 tff(9673,plain,
% 49.72/32.37 (node34(c_p0, s2, s3)),
% 49.72/32.37 inference(unit_resolution,[status(thm)],[9272, 9672, 9366])).
% 49.72/32.37 tff(9674,plain,
% 49.72/32.37 (m_processor_v_state(c_p0, s3, c_shared)),
% 49.72/32.37 inference(unit_resolution,[status(thm)],[9214, 416, 9673, 9287])).
% 49.72/32.37 tff(9675,plain,
% 49.72/32.37 (~m_processor_v_state(c_p0, s3, c_owned)),
% 49.72/32.37 inference(unit_resolution,[status(thm)],[2661, 9674])).
% 49.72/32.37 tff(9676,plain,
% 49.72/32.37 (m_processor_v_state(c_p0, s3, c_shared)),
% 49.72/32.37 inference(unit_resolution,[status(thm)],[9438, 9405, 1095, 2642])).
% 49.72/32.37 tff(9677,plain,
% 49.72/32.37 (m_processor_v_state(c_p0, s3, c_shared)),
% 49.72/32.37 inference(unit_resolution,[status(thm)],[9248, 153, 2722, 2642])).
% 49.72/32.37 tff(9678,assumption,(~m_processor_v_abort(c_p0, s3)), introduced(assumption)).
% 49.72/32.37 tff(9679,plain,
% 49.72/32.37 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p0, s3) | m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p0, s3) | m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)))),
% 49.72/32.37 inference(rewrite,[status(thm)],[])).
% 49.72/32.37 tff(9680,plain,
% 49.72/32.37 (((~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_master(c_p0, s3) | node35(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3)) <=> (node35(c_p0, s3) | m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)))),
% 49.72/32.37 inference(rewrite,[status(thm)],[])).
% 49.72/32.37 tff(9681,plain,
% 49.72/32.37 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_master(c_p0, s3) | node35(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p0, s3) | m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4))))),
% 49.72/32.37 inference(monotonicity,[status(thm)],[9680])).
% 49.72/32.37 tff(9682,plain,
% 49.72/32.37 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_master(c_p0, s3) | node35(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p0, s3) | m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)))),
% 49.72/32.37 inference(transitivity,[status(thm)],[9681, 9679])).
% 49.72/32.37 tff(9683,plain,
% 49.72/32.37 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_master(c_p0, s3) | node35(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3))),
% 49.72/32.37 inference(quant_inst,[status(thm)],[])).
% 49.72/32.37 tff(9684,plain,
% 49.72/32.37 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p0, s3) | m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4))),
% 49.72/32.37 inference(modus_ponens,[status(thm)],[9683, 9682])).
% 49.72/32.37 tff(9685,plain,
% 49.72/32.37 (node35(c_p0, s3) | m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid)),
% 49.72/32.37 inference(unit_resolution,[status(thm)],[9684, 301, 9396])).
% 49.72/32.37 tff(9686,plain,
% 49.72/32.37 (node35(c_p0, s3)),
% 49.72/32.37 inference(unit_resolution,[status(thm)],[9685, 9678, 9405, 2653, 1095])).
% 49.72/32.37 tff(9687,plain,
% 49.72/32.37 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s3, c_invalidate)) | (~node35(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s3, c_invalidate)) | (~node35(c_p0, s3)))),
% 49.72/32.37 inference(rewrite,[status(thm)],[])).
% 49.72/32.37 tff(9688,plain,
% 49.72/32.37 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s3, c_invalidate)) | (~node35(c_p0, s3)))),
% 49.72/32.37 inference(quant_inst,[status(thm)],[])).
% 49.72/32.37 tff(9689,plain,
% 49.72/32.37 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s3, c_invalidate)) | (~node35(c_p0, s3))),
% 49.72/32.37 inference(modus_ponens,[status(thm)],[9688, 9687])).
% 49.72/32.37 tff(9690,plain,
% 49.72/32.37 (~m_processor_v_CMD(c_p0, s3, c_invalidate)),
% 49.72/32.37 inference(unit_resolution,[status(thm)],[9689, 327, 9686])).
% 49.72/32.37 tff(9691,plain,
% 49.72/32.37 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~node35(c_p0, s3)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~node35(c_p0, s3)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)))),
% 49.72/32.37 inference(rewrite,[status(thm)],[])).
% 49.72/32.37 tff(9692,plain,
% 49.72/32.37 (((~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | (~node35(c_p0, s3))) <=> ((~node35(c_p0, s3)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)))),
% 49.72/32.37 inference(rewrite,[status(thm)],[])).
% 49.72/32.37 tff(9693,plain,
% 49.72/32.37 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | (~node35(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~node35(c_p0, s3)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned))))),
% 49.72/32.37 inference(monotonicity,[status(thm)],[9692])).
% 49.72/32.37 tff(9694,plain,
% 49.72/32.37 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | (~node35(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~node35(c_p0, s3)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)))),
% 49.72/32.37 inference(transitivity,[status(thm)],[9693, 9691])).
% 49.72/32.37 tff(9695,plain,
% 49.72/32.37 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | (~node35(c_p0, s3)))),
% 49.72/32.37 inference(quant_inst,[status(thm)],[])).
% 49.72/32.37 tff(9696,plain,
% 49.72/32.37 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~node35(c_p0, s3)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned))),
% 49.72/32.37 inference(modus_ponens,[status(thm)],[9695, 9694])).
% 49.72/32.37 tff(9697,plain,
% 49.72/32.37 (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)),
% 49.72/32.37 inference(unit_resolution,[status(thm)],[9696, 316, 9686])).
% 49.72/32.37 tff(9698,plain,
% 49.72/32.37 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | node36(c_p0, s3) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | node36(c_p0, s3) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)))),
% 49.72/32.37 inference(rewrite,[status(thm)],[])).
% 49.72/32.37 tff(9699,plain,
% 49.72/32.37 (((~m_processor_v_state(c_p0, s3, c_shared)) | node36(c_p0, s3) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3)) <=> (m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | node36(c_p0, s3) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)))),
% 49.72/32.37 inference(rewrite,[status(thm)],[])).
% 49.72/32.37 tff(9700,plain,
% 49.72/32.37 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | node36(c_p0, s3) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | node36(c_p0, s3) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4))))),
% 49.72/32.37 inference(monotonicity,[status(thm)],[9699])).
% 49.72/32.37 tff(9701,plain,
% 49.72/32.37 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | node36(c_p0, s3) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | node36(c_p0, s3) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)))),
% 49.72/32.37 inference(transitivity,[status(thm)],[9700, 9698])).
% 49.72/32.37 tff(9702,plain,
% 49.72/32.37 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | node36(c_p0, s3) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4)) | m_processor_v_abort(c_p0, s3))),
% 49.72/32.37 inference(quant_inst,[status(thm)],[])).
% 49.72/32.37 tff(9703,plain,
% 49.72/32.37 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | node36(c_p0, s3) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid) | (~node38(c_p0, s3, s4))),
% 49.72/32.37 inference(modus_ponens,[status(thm)],[9702, 9701])).
% 49.72/32.37 tff(9704,plain,
% 49.72/32.37 (m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_shared)) | node36(c_p0, s3) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid)),
% 49.72/32.37 inference(unit_resolution,[status(thm)],[9703, 341, 9396])).
% 49.72/32.37 tff(9705,plain,
% 49.72/32.37 (node36(c_p0, s3)),
% 49.72/32.37 inference(unit_resolution,[status(thm)],[9704, 9678, 9405, 1096, 2653, 1095])).
% 49.72/32.37 tff(9706,plain,
% 49.72/32.37 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node36(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_invalidate))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node36(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_invalidate))),
% 49.72/32.37 inference(rewrite,[status(thm)],[])).
% 49.72/32.37 tff(9707,plain,
% 49.72/32.37 ((m_processor_v_CMD(c_p0, s3, c_invalidate) | (~node36(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_read_h_owned)) <=> (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node36(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_invalidate))),
% 49.72/32.37 inference(rewrite,[status(thm)],[])).
% 49.72/32.37 tff(9708,plain,
% 49.72/32.37 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s3, c_invalidate) | (~node36(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node36(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_invalidate)))),
% 49.72/32.37 inference(monotonicity,[status(thm)],[9707])).
% 49.72/32.37 tff(9709,plain,
% 49.72/32.37 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s3, c_invalidate) | (~node36(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node36(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_invalidate))),
% 49.72/32.37 inference(transitivity,[status(thm)],[9708, 9706])).
% 49.72/32.37 tff(9710,plain,
% 49.72/32.37 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s3, c_invalidate) | (~node36(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_read_h_owned))),
% 49.72/32.37 inference(quant_inst,[status(thm)],[])).
% 49.72/32.37 tff(9711,plain,
% 49.72/32.37 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node36(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_invalidate)),
% 49.72/32.37 inference(modus_ponens,[status(thm)],[9710, 9709])).
% 49.72/32.37 tff(9712,plain,
% 49.72/32.37 ($false),
% 49.72/32.37 inference(unit_resolution,[status(thm)],[9711, 359, 9705, 9697, 9690])).
% 49.72/32.37 tff(9713,plain,(m_processor_v_abort(c_p0, s3) | m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s4, c_shared) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.37 tff(9714,plain,
% 49.72/32.37 (m_processor_v_abort(c_p0, s3)),
% 49.72/32.37 inference(unit_resolution,[status(thm)],[9713, 9405, 1096, 9677, 1095])).
% 49.72/32.37 tff(9715,plain,
% 49.72/32.37 (node32(c_p0, s3, s4)),
% 49.72/32.37 inference(unit_resolution,[status(thm)],[9403, 9714])).
% 49.72/32.37 tff(9716,plain,
% 49.72/32.37 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared) | (~node32(c_p0, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared) | (~node32(c_p0, s3, s4)))),
% 49.72/32.37 inference(rewrite,[status(thm)],[])).
% 49.72/32.37 tff(9717,plain,
% 49.72/32.37 (((~node32(c_p0, s3, s4)) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared)) <=> ((~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared) | (~node32(c_p0, s3, s4)))),
% 49.72/32.37 inference(rewrite,[status(thm)],[])).
% 49.72/32.37 tff(9718,plain,
% 49.72/32.37 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s3, s4)) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared) | (~node32(c_p0, s3, s4))))),
% 49.72/32.37 inference(monotonicity,[status(thm)],[9717])).
% 49.72/32.37 tff(9719,plain,
% 49.72/32.37 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s3, s4)) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared) | (~node32(c_p0, s3, s4)))),
% 49.72/32.37 inference(transitivity,[status(thm)],[9718, 9716])).
% 49.72/32.37 tff(9720,plain,
% 49.72/32.37 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s3, s4)) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared))),
% 49.72/32.37 inference(quant_inst,[status(thm)],[])).
% 49.72/32.37 tff(9721,plain,
% 49.72/32.37 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared) | (~node32(c_p0, s3, s4))),
% 49.72/32.37 inference(modus_ponens,[status(thm)],[9720, 9719])).
% 49.72/32.37 tff(9722,plain,
% 49.72/32.37 ($false),
% 49.72/32.37 inference(unit_resolution,[status(thm)],[9721, 380, 9677, 1096, 9715])).
% 49.72/32.37 tff(9723,plain,(m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_state(c_p0, s3, c_invalid) | m_processor_v_state(c_p0, s3, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.37 tff(9724,plain,
% 49.72/32.37 (m_processor_v_state(c_p0, s3, c_invalid)),
% 49.72/32.37 inference(unit_resolution,[status(thm)],[9723, 9405, 2642, 1096, 1095])).
% 49.72/32.37 tff(9725,plain,
% 49.72/32.37 ($false),
% 49.72/32.37 inference(unit_resolution,[status(thm)],[9412, 9724, 9676])).
% 49.72/32.38 tff(9726,plain,(m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s3, c_owned) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.38 tff(9727,plain,
% 49.72/32.38 ($false),
% 49.72/32.38 inference(unit_resolution,[status(thm)],[9726, 6889, 6880, 2642, 9405])).
% 49.72/32.38 tff(9728,plain,((~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_state(c_p0, s3, c_owned) | m_processor_v_master(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.38 tff(9729,plain,
% 49.72/32.38 (m_processor_v_master(c_p0, s3)),
% 49.72/32.38 inference(unit_resolution,[status(thm)],[9728, 9675, 9286])).
% 49.72/32.38 tff(9730,plain,
% 49.72/32.38 (~m_processor_v_state(c_p0, s3, c_owned)),
% 49.72/32.38 inference(unit_resolution,[status(thm)],[2661, 2653])).
% 49.72/32.38 tff(9731,plain,
% 49.72/32.38 (m_processor_v_state(c_p0, s3, c_shared)),
% 49.72/32.38 inference(unit_resolution,[status(thm)],[9525, 9514, 1095, 2642])).
% 49.72/32.38 tff(9732,plain,
% 49.72/32.38 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 49.72/32.38 inference(unit_resolution,[status(thm)],[9412, 9731])).
% 49.72/32.38 tff(9733,plain,
% 49.72/32.38 (m_processor_v_master(c_p0, s3)),
% 49.72/32.38 inference(unit_resolution,[status(thm)],[9723, 9732, 1095, 1096, 2642])).
% 49.72/32.38 tff(9734,plain,
% 49.72/32.38 (m_processor_v_abort(c_p0, s3)),
% 49.72/32.38 inference(unit_resolution,[status(thm)],[9522, 9733, 9514])).
% 49.72/32.38 tff(9735,plain,
% 49.72/32.38 (node32(c_p0, s3, s4)),
% 49.72/32.38 inference(unit_resolution,[status(thm)],[9403, 9734])).
% 49.72/32.38 tff(9736,plain,
% 49.72/32.38 ($false),
% 49.72/32.38 inference(unit_resolution,[status(thm)],[9721, 380, 9731, 1096, 9735])).
% 49.72/32.38 tff(9737,plain,(node34(c_p0, s3, s4) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_state(c_p0, s3, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.72/32.38 tff(9738,plain,
% 49.72/32.38 (node34(c_p0, s3, s4)),
% 49.72/32.38 inference(unit_resolution,[status(thm)],[9737, 6889, 9730, 6880])).
% 49.72/32.38 tff(9739,assumption,(node33(c_p0, s3, s4)), introduced(assumption)).
% 49.72/32.38 tff(9740,plain,
% 49.72/32.38 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | (~node33(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s3, c_shared)) | (~node33(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared))),
% 49.72/32.38 inference(rewrite,[status(thm)],[])).
% 49.72/32.38 tff(9741,plain,
% 49.72/32.38 (((~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared) | (~node33(c_p0, s3, s4))) <=> ((~m_processor_v_state(c_p0, s3, c_shared)) | (~node33(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared))),
% 49.72/32.38 inference(rewrite,[status(thm)],[])).
% 49.72/32.38 tff(9742,plain,
% 49.72/32.38 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared) | (~node33(c_p0, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | (~node33(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared)))),
% 49.72/32.38 inference(monotonicity,[status(thm)],[9741])).
% 49.72/32.38 tff(9743,plain,
% 49.72/32.38 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared) | (~node33(c_p0, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s3, c_shared)) | (~node33(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared))),
% 49.72/32.38 inference(transitivity,[status(thm)],[9742, 9740])).
% 49.72/32.38 tff(9744,plain,
% 49.72/32.38 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared) | (~node33(c_p0, s3, s4)))),
% 49.72/32.38 inference(quant_inst,[status(thm)],[])).
% 49.72/32.38 tff(9745,plain,
% 49.72/32.38 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s3, c_shared)) | (~node33(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared)),
% 49.72/32.38 inference(modus_ponens,[status(thm)],[9744, 9743])).
% 49.72/32.38 tff(9746,plain,
% 49.72/32.38 ($false),
% 49.72/32.38 inference(unit_resolution,[status(thm)],[9745, 399, 2653, 1096, 9739])).
% 49.72/32.38 tff(9747,plain,((~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared) | (~node33(c_p0, s3, s4))), inference(lemma,lemma(discharge,[]))).
% 49.72/32.38 tff(9748,plain,
% 49.72/32.38 (~node33(c_p0, s3, s4)),
% 49.72/32.38 inference(unit_resolution,[status(thm)],[9747, 6889, 2653])).
% 49.72/32.38 tff(9749,assumption,(node34(c_p0, s3, s4)), introduced(assumption)).
% 49.72/32.38 tff(9750,plain,
% 49.72/32.38 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 49.72/32.38 inference(unit_resolution,[status(thm)],[9533, 416, 1096, 9749])).
% 49.72/32.38 tff(9751,plain,
% 49.72/32.38 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_invalid) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_invalid) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_invalid)))),
% 49.72/32.38 inference(rewrite,[status(thm)],[])).
% 49.72/32.38 tff(9752,plain,
% 49.72/32.38 (((~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_invalid))) <=> (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_invalid) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_invalid)))),
% 49.72/32.38 inference(rewrite,[status(thm)],[])).
% 49.72/32.38 tff(9753,plain,
% 49.72/32.38 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_invalid) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_invalid))))),
% 49.72/32.38 inference(monotonicity,[status(thm)],[9752])).
% 49.72/32.38 tff(9754,plain,
% 49.72/32.38 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_invalid) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_invalid)))),
% 49.72/32.38 inference(transitivity,[status(thm)],[9753, 9751])).
% 49.72/32.38 tff(9755,plain,
% 49.72/32.38 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_invalid)))),
% 49.72/32.38 inference(quant_inst,[status(thm)],[])).
% 49.72/32.38 tff(9756,plain,
% 49.72/32.38 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_invalid) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_invalid))),
% 49.72/32.38 inference(modus_ponens,[status(thm)],[9755, 9754])).
% 49.72/32.38 tff(9757,plain,
% 49.72/32.38 (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s3, c_write_h_invalid))),
% 49.72/32.38 inference(unit_resolution,[status(thm)],[9756, 512, 1095, 9749])).
% 49.72/32.38 tff(9758,plain,
% 49.72/32.38 (~m_processor_v_CMD(c_p0, s3, c_write_h_invalid)),
% 49.72/32.38 inference(unit_resolution,[status(thm)],[9757, 9645, 9750])).
% 49.72/32.38 tff(9759,plain,
% 49.72/32.38 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_state(c_p0, s4, c_invalid) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_state(c_p0, s4, c_invalid) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)))),
% 49.72/32.38 inference(rewrite,[status(thm)],[])).
% 49.72/32.38 tff(9760,plain,
% 49.72/32.38 (((~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid))) <=> (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_state(c_p0, s4, c_invalid) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)))),
% 49.72/32.38 inference(rewrite,[status(thm)],[])).
% 49.72/32.38 tff(9761,plain,
% 49.72/32.38 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_state(c_p0, s4, c_invalid) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid))))),
% 49.72/32.38 inference(monotonicity,[status(thm)],[9760])).
% 49.72/32.38 tff(9762,plain,
% 49.72/32.38 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_state(c_p0, s4, c_invalid) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)))),
% 49.72/32.38 inference(transitivity,[status(thm)],[9761, 9759])).
% 49.72/32.38 tff(9763,plain,
% 49.72/32.38 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)))),
% 49.72/32.38 inference(quant_inst,[status(thm)],[])).
% 49.72/32.38 tff(9764,plain,
% 49.72/32.38 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_state(c_p0, s4, c_invalid) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid))),
% 49.72/32.38 inference(modus_ponens,[status(thm)],[9763, 9762])).
% 49.72/32.38 tff(9765,plain,
% 49.72/32.38 (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid))),
% 49.72/32.38 inference(unit_resolution,[status(thm)],[9764, 438, 1095, 9749])).
% 49.72/32.38 tff(9766,plain,
% 49.72/32.38 (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)),
% 49.72/32.38 inference(unit_resolution,[status(thm)],[9765, 9758, 9750, 9645])).
% 49.72/32.38 tff(9767,plain,
% 49.72/32.38 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_shared)))),
% 49.72/32.38 inference(rewrite,[status(thm)],[])).
% 49.72/32.38 tff(9768,plain,
% 49.72/32.38 (((~node34(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_shared))) <=> (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_shared)))),
% 49.72/32.38 inference(rewrite,[status(thm)],[])).
% 49.72/32.38 tff(9769,plain,
% 49.72/32.38 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_shared))))),
% 49.72/32.38 inference(monotonicity,[status(thm)],[9768])).
% 49.72/32.38 tff(9770,plain,
% 49.72/32.38 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_shared)))),
% 49.72/32.38 inference(transitivity,[status(thm)],[9769, 9767])).
% 49.72/32.38 tff(9771,plain,
% 49.72/32.38 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_shared)))),
% 49.72/32.38 inference(quant_inst,[status(thm)],[])).
% 49.72/32.38 tff(9772,plain,
% 49.72/32.38 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_shared))),
% 49.72/32.38 inference(modus_ponens,[status(thm)],[9771, 9770])).
% 49.72/32.38 tff(9773,plain,
% 49.72/32.38 (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_shared))),
% 49.72/32.38 inference(unit_resolution,[status(thm)],[9772, 456, 1096, 9749])).
% 49.72/32.38 tff(9774,plain,
% 49.72/32.38 (~m_processor_v_CMD(c_p0, s3, c_write_h_shared)),
% 49.72/32.38 inference(unit_resolution,[status(thm)],[9773, 9766, 9750, 9645, 9758])).
% 49.72/32.38 tff(9775,assumption,(~node33(c_p0, s3, s4)), introduced(assumption)).
% 49.72/32.38 tff(9776,plain,
% 49.72/32.38 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | node33(c_p0, s3, s4) | (~node34(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | node33(c_p0, s3, s4) | (~node34(c_p0, s3, s4)))),
% 49.72/32.38 inference(rewrite,[status(thm)],[])).
% 49.72/32.38 tff(9777,plain,
% 49.72/32.38 ((node33(c_p0, s3, s4) | (~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | node33(c_p0, s3, s4) | (~node34(c_p0, s3, s4)))),
% 49.72/32.39 inference(rewrite,[status(thm)],[])).
% 49.72/32.39 tff(9778,plain,
% 49.72/32.39 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s3, s4) | (~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | node33(c_p0, s3, s4) | (~node34(c_p0, s3, s4))))),
% 49.72/32.39 inference(monotonicity,[status(thm)],[9777])).
% 49.72/32.39 tff(9779,plain,
% 49.72/32.39 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s3, s4) | (~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | node33(c_p0, s3, s4) | (~node34(c_p0, s3, s4)))),
% 49.72/32.39 inference(transitivity,[status(thm)],[9778, 9776])).
% 49.72/32.39 tff(9780,plain,
% 49.72/32.39 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s3, s4) | (~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared))),
% 49.72/32.39 inference(quant_inst,[status(thm)],[])).
% 49.72/32.39 tff(9781,plain,
% 49.72/32.39 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | node33(c_p0, s3, s4) | (~node34(c_p0, s3, s4))),
% 49.77/32.39 inference(modus_ponens,[status(thm)],[9780, 9779])).
% 49.77/32.39 tff(9782,plain,
% 49.77/32.39 (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9781, 474, 9749, 9775])).
% 49.77/32.39 tff(9783,plain,
% 49.77/32.39 (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9782, 9774, 9750, 9645, 9758, 9766])).
% 49.77/32.39 tff(9784,plain,
% 49.77/32.39 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)))),
% 49.77/32.39 inference(rewrite,[status(thm)],[])).
% 49.77/32.39 tff(9785,plain,
% 49.77/32.39 (((~node34(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared))) <=> (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)))),
% 49.77/32.39 inference(rewrite,[status(thm)],[])).
% 49.77/32.39 tff(9786,plain,
% 49.77/32.39 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared))))),
% 49.77/32.39 inference(monotonicity,[status(thm)],[9785])).
% 49.77/32.39 tff(9787,plain,
% 49.77/32.39 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)))),
% 49.77/32.39 inference(transitivity,[status(thm)],[9786, 9784])).
% 49.77/32.39 tff(9788,plain,
% 49.77/32.39 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)))),
% 49.77/32.39 inference(quant_inst,[status(thm)],[])).
% 49.77/32.39 tff(9789,plain,
% 49.77/32.39 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared))),
% 49.77/32.39 inference(modus_ponens,[status(thm)],[9788, 9787])).
% 49.77/32.39 tff(9790,plain,
% 49.77/32.39 (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared))),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9789, 492, 1096, 9749])).
% 49.77/32.39 tff(9791,plain,
% 49.77/32.39 ($false),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9790, 9783, 9774, 9750, 9645, 9758, 9766])).
% 49.77/32.39 tff(9792,plain,(m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_shared) | (~node34(c_p0, s3, s4)) | node33(c_p0, s3, s4) | m_processor_v_state(c_p0, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.39 tff(9793,plain,
% 49.77/32.39 ($false),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9792, 9748, 6889, 9645, 6880, 9738])).
% 49.77/32.39 tff(9794,plain,((~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~m_processor_v_state(c_p0, s3, c_shared))), inference(lemma,lemma(discharge,[]))).
% 49.77/32.39 tff(9795,plain,
% 49.77/32.39 (m_processor_v_CMD(c_p0, s3, c_read_h_owned)),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9794, 9674, 9286])).
% 49.77/32.39 tff(9796,plain,
% 49.77/32.39 (~m_processor_v_waiting(c_p0, s4)),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9373, 540, 9370])).
% 49.77/32.39 tff(9797,plain,
% 49.77/32.39 (~m_processor_v_state(c_p0, s4, c_shared)),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[6888, 9286])).
% 49.77/32.39 tff(9798,plain,
% 49.77/32.39 ($false),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9721, 380, 2653, 1096, 9380])).
% 49.77/32.39 tff(9799,plain,((~node32(c_p0, s3, s4)) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_state(c_p0, s4, c_shared)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.39 tff(9800,plain,
% 49.77/32.39 (~node32(c_p0, s3, s4)),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9799, 9674, 9797])).
% 49.77/32.39 tff(9801,plain,
% 49.77/32.39 (~m_processor_v_abort(c_p0, s3)),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9403, 9800])).
% 49.77/32.39 tff(9802,plain,
% 49.77/32.39 (node47(c_p0, s3)),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9665, 9801, 9796, 9795, 9729])).
% 49.77/32.39 tff(9803,plain,
% 49.77/32.39 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | (~node53(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | (~node53(c_p0, s3, s4)))),
% 49.77/32.39 inference(rewrite,[status(thm)],[])).
% 49.77/32.39 tff(9804,plain,
% 49.77/32.39 ((m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | (~node53(c_p0, s3, s4))) <=> ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | (~node53(c_p0, s3, s4)))),
% 49.77/32.39 inference(rewrite,[status(thm)],[])).
% 49.77/32.39 tff(9805,plain,
% 49.77/32.39 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | (~node53(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | (~node53(c_p0, s3, s4))))),
% 49.77/32.39 inference(monotonicity,[status(thm)],[9804])).
% 49.77/32.39 tff(9806,plain,
% 49.77/32.39 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | (~node53(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | (~node53(c_p0, s3, s4)))),
% 49.77/32.39 inference(transitivity,[status(thm)],[9805, 9803])).
% 49.77/32.39 tff(9807,plain,
% 49.77/32.39 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | (~node53(c_p0, s3, s4)))),
% 49.77/32.39 inference(quant_inst,[status(thm)],[])).
% 49.77/32.39 tff(9808,plain,
% 49.77/32.39 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | (~node53(c_p0, s3, s4))),
% 49.77/32.39 inference(modus_ponens,[status(thm)],[9807, 9806])).
% 49.77/32.39 tff(9809,plain,
% 49.77/32.39 ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared))),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9808, 589, 9658])).
% 49.77/32.39 tff(9810,plain,
% 49.77/32.39 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9809, 9729, 9796, 9801])).
% 49.77/32.39 tff(9811,plain,
% 49.77/32.39 ($false),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9669, 657, 9810, 9802])).
% 49.77/32.39 tff(9812,plain,(m_processor_v_snoop(c_p1, s3, c_invalid) | m_processor_v_state(c_p1, s5, c_owned) | node67(s8) | node67(s9) | node67(s6) | node67(s7)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.39 tff(9813,plain,
% 49.77/32.39 (m_processor_v_snoop(c_p1, s3, c_invalid)),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9812, 5932, 5949, 53, 52, 6553])).
% 49.77/32.39 tff(9814,plain,
% 49.77/32.39 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[6599, 137, 6818])).
% 49.77/32.39 tff(9815,plain,
% 49.77/32.39 (m_processor_v_master(c_p0, s3)),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9728, 9730, 1752])).
% 49.77/32.39 tff(9816,assumption,(~m_processor_v_waiting(c_p0, s4)), introduced(assumption)).
% 49.77/32.39 tff(9817,plain,
% 49.77/32.39 (m_processor_v_CMD(c_p0, s3, c_read_h_owned)),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9794, 2653, 1752])).
% 49.77/32.39 tff(9818,plain,
% 49.77/32.39 (~node32(c_p0, s3, s4)),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9799, 2653, 6889])).
% 49.77/32.39 tff(9819,plain,
% 49.77/32.39 (~m_processor_v_abort(c_p0, s3)),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9403, 9818])).
% 49.77/32.39 tff(9820,plain,
% 49.77/32.39 (node47(c_p0, s3)),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9665, 9819, 9817, 9816, 9815])).
% 49.77/32.39 tff(9821,plain,
% 49.77/32.39 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9809, 9819, 9815, 9816])).
% 49.77/32.39 tff(9822,plain,
% 49.77/32.39 ($false),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9669, 657, 9821, 9820])).
% 49.77/32.39 tff(9823,plain,((~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_waiting(c_p0, s4) | (~m_processor_v_state(c_p0, s4, c_owned))), inference(lemma,lemma(discharge,[]))).
% 49.77/32.39 tff(9824,plain,
% 49.77/32.39 (~m_processor_v_state(c_p0, s3, c_shared)),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9823, 9374, 1752])).
% 49.77/32.39 tff(9825,plain,
% 49.77/32.39 (m_processor_v_master(c_p0, s3)),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9728, 2642, 1752])).
% 49.77/32.39 tff(9826,plain,
% 49.77/32.39 (~m_processor_v_state(c_p0, s3, c_shared)),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9823, 9816, 1752])).
% 49.77/32.39 tff(9827,plain,
% 49.77/32.39 (m_processor_v_state(c_p0, s3, c_invalid)),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9415, 2642, 9826])).
% 49.77/32.39 tff(9828,plain,
% 49.77/32.39 (~node32(c_p0, s3, s4)),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9389, 9827, 6880])).
% 49.77/32.39 tff(9829,plain,
% 49.77/32.39 (~m_processor_v_abort(c_p0, s3)),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9403, 9828])).
% 49.77/32.39 tff(9830,plain,
% 49.77/32.39 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9809, 9829, 9825, 9816])).
% 49.77/32.39 tff(9831,plain,
% 49.77/32.39 (~node47(c_p0, s3)),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9669, 657, 9830])).
% 49.77/32.39 tff(9832,plain,
% 49.77/32.39 (node34(c_p0, s3, s4)),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9737, 2642, 6889, 6880])).
% 49.77/32.39 tff(9833,plain,
% 49.77/32.39 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | (~node33(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s3, c_invalid)) | (~node33(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_invalid))),
% 49.77/32.39 inference(rewrite,[status(thm)],[])).
% 49.77/32.39 tff(9834,plain,
% 49.77/32.39 (((~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node33(c_p0, s3, s4))) <=> ((~m_processor_v_state(c_p0, s3, c_invalid)) | (~node33(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_invalid))),
% 49.77/32.39 inference(rewrite,[status(thm)],[])).
% 49.77/32.39 tff(9835,plain,
% 49.77/32.39 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node33(c_p0, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | (~node33(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_invalid)))),
% 49.77/32.39 inference(monotonicity,[status(thm)],[9834])).
% 49.77/32.39 tff(9836,plain,
% 49.77/32.39 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node33(c_p0, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s3, c_invalid)) | (~node33(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_invalid))),
% 49.77/32.39 inference(transitivity,[status(thm)],[9835, 9833])).
% 49.77/32.39 tff(9837,plain,
% 49.77/32.39 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_invalid)) | m_processor_v_state(c_p0, s4, c_invalid) | (~node33(c_p0, s3, s4)))),
% 49.77/32.39 inference(quant_inst,[status(thm)],[])).
% 49.77/32.39 tff(9838,plain,
% 49.77/32.39 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s3, c_invalid)) | (~node33(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_invalid)),
% 49.77/32.39 inference(modus_ponens,[status(thm)],[9837, 9836])).
% 49.77/32.39 tff(9839,plain,
% 49.77/32.39 (~node33(c_p0, s3, s4)),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9838, 399, 9827, 6880])).
% 49.77/32.39 tff(9840,plain,
% 49.77/32.39 (m_processor_v_CMD(c_p0, s3, c_read_h_owned)),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9792, 9839, 6880, 6889, 9832])).
% 49.77/32.39 tff(9841,plain,
% 49.77/32.39 ($false),
% 49.77/32.39 inference(unit_resolution,[status(thm)],[9665, 9840, 9831, 9829, 9816, 9825])).
% 49.77/32.39 tff(9842,plain,(m_processor_v_state(c_p0, s3, c_owned) | m_processor_v_waiting(c_p0, s4) | (~m_processor_v_state(c_p0, s4, c_owned))), inference(lemma,lemma(discharge,[]))).
% 49.77/32.40 tff(9843,plain,
% 49.77/32.40 (m_processor_v_state(c_p0, s3, c_owned)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9842, 9374, 1752])).
% 49.77/32.40 tff(9844,plain,
% 49.77/32.40 (m_memory_v_master(c_m, s3)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9502, 9496])).
% 49.77/32.40 tff(9845,plain,
% 49.77/32.40 (node17(s3)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9494, 9844])).
% 49.77/32.40 tff(9846,plain,
% 49.77/32.40 (~m_processor_v_master(c_p0, s3)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9486, 9845])).
% 49.77/32.40 tff(9847,assumption,(~m_memory_v_busy(c_m, s3)), introduced(assumption)).
% 49.77/32.40 tff(9848,plain,
% 49.77/32.40 (((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | ((~node29(c_m, s3)) | m_memory_v_busy(c_m, s3))) <=> ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (~node29(c_m, s3)) | m_memory_v_busy(c_m, s3))),
% 49.77/32.40 inference(rewrite,[status(thm)],[])).
% 49.77/32.40 tff(9849,plain,
% 49.77/32.40 ((m_memory_v_busy(c_m, s3) | (~node29(c_m, s3))) <=> ((~node29(c_m, s3)) | m_memory_v_busy(c_m, s3))),
% 49.77/32.40 inference(rewrite,[status(thm)],[])).
% 49.77/32.40 tff(9850,plain,
% 49.77/32.40 (((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s3) | (~node29(c_m, s3)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | ((~node29(c_m, s3)) | m_memory_v_busy(c_m, s3)))),
% 49.77/32.40 inference(monotonicity,[status(thm)],[9849])).
% 49.77/32.40 tff(9851,plain,
% 49.77/32.40 (((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s3) | (~node29(c_m, s3)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (~node29(c_m, s3)) | m_memory_v_busy(c_m, s3))),
% 49.77/32.40 inference(transitivity,[status(thm)],[9850, 9848])).
% 49.77/32.40 tff(9852,plain,
% 49.77/32.40 ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s3) | (~node29(c_m, s3)))),
% 49.77/32.40 inference(quant_inst,[status(thm)],[])).
% 49.77/32.40 tff(9853,plain,
% 49.77/32.40 ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (~node29(c_m, s3)) | m_memory_v_busy(c_m, s3)),
% 49.77/32.40 inference(modus_ponens,[status(thm)],[9852, 9851])).
% 49.77/32.40 tff(9854,plain,
% 49.77/32.40 ($false),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9853, 2072, 9496, 9847])).
% 49.77/32.40 tff(9855,plain,(m_memory_v_busy(c_m, s3) | (~node29(c_m, s3))), inference(lemma,lemma(discharge,[]))).
% 49.77/32.40 tff(9856,plain,
% 49.77/32.40 (m_memory_v_busy(c_m, s3)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9855, 9496])).
% 49.77/32.40 tff(9857,assumption,(node18(c_m, s3, s4)), introduced(assumption)).
% 49.77/32.40 tff(9858,assumption,(m_memory_v_busy(c_m, s3)), introduced(assumption)).
% 49.77/32.40 tff(9859,plain,
% 49.77/32.40 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | ((~m_memory_v_busy(c_m, s3)) | m_memory_v_busy(c_m, s4) | (~node18(c_m, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | (~m_memory_v_busy(c_m, s3)) | m_memory_v_busy(c_m, s4) | (~node18(c_m, s3, s4)))),
% 49.77/32.40 inference(rewrite,[status(thm)],[])).
% 49.77/32.40 tff(9860,plain,
% 49.77/32.40 (((~node18(c_m, s3, s4)) | (~m_memory_v_busy(c_m, s3)) | m_memory_v_busy(c_m, s4)) <=> ((~m_memory_v_busy(c_m, s3)) | m_memory_v_busy(c_m, s4) | (~node18(c_m, s3, s4)))),
% 49.77/32.40 inference(rewrite,[status(thm)],[])).
% 49.77/32.40 tff(9861,plain,
% 49.77/32.40 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | ((~node18(c_m, s3, s4)) | (~m_memory_v_busy(c_m, s3)) | m_memory_v_busy(c_m, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | ((~m_memory_v_busy(c_m, s3)) | m_memory_v_busy(c_m, s4) | (~node18(c_m, s3, s4))))),
% 49.77/32.40 inference(monotonicity,[status(thm)],[9860])).
% 49.77/32.40 tff(9862,plain,
% 49.77/32.40 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | ((~node18(c_m, s3, s4)) | (~m_memory_v_busy(c_m, s3)) | m_memory_v_busy(c_m, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | (~m_memory_v_busy(c_m, s3)) | m_memory_v_busy(c_m, s4) | (~node18(c_m, s3, s4)))),
% 49.77/32.40 inference(transitivity,[status(thm)],[9861, 9859])).
% 49.77/32.40 tff(9863,plain,
% 49.77/32.40 ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | ((~node18(c_m, s3, s4)) | (~m_memory_v_busy(c_m, s3)) | m_memory_v_busy(c_m, s4))),
% 49.77/32.40 inference(quant_inst,[status(thm)],[])).
% 49.77/32.40 tff(9864,plain,
% 49.77/32.40 ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | (~m_memory_v_busy(c_m, s3)) | m_memory_v_busy(c_m, s4) | (~node18(c_m, s3, s4))),
% 49.77/32.40 inference(modus_ponens,[status(thm)],[9863, 9862])).
% 49.77/32.40 tff(9865,plain,
% 49.77/32.40 ($false),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9864, 7401, 2065, 9858, 9857])).
% 49.77/32.40 tff(9866,plain,((~node18(c_m, s3, s4)) | m_memory_v_busy(c_m, s4) | (~m_memory_v_busy(c_m, s3))), inference(lemma,lemma(discharge,[]))).
% 49.77/32.40 tff(9867,plain,
% 49.77/32.40 (~node18(c_m, s3, s4)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9866, 9856, 2065])).
% 49.77/32.40 tff(9868,plain,
% 49.77/32.40 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | ((~trans(s3, s4)) | node23(c_m, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | (~trans(s3, s4)) | node23(c_m, s3, s4))),
% 49.77/32.40 inference(rewrite,[status(thm)],[])).
% 49.77/32.40 tff(9869,plain,
% 49.77/32.40 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | ((~trans(s3, s4)) | node23(c_m, s3, s4))),
% 49.77/32.40 inference(quant_inst,[status(thm)],[])).
% 49.77/32.40 tff(9870,plain,
% 49.77/32.40 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | (~trans(s3, s4)) | node23(c_m, s3, s4)),
% 49.77/32.40 inference(modus_ponens,[status(thm)],[9869, 9868])).
% 49.77/32.40 tff(9871,plain,
% 49.77/32.40 (node23(c_m, s3, s4)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9870, 4490, 6623])).
% 49.77/32.40 tff(9872,plain,
% 49.77/32.40 (((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | ((~node23(c_m, s3, s4)) | node18(c_m, s3, s4) | (~m_memory_v_abort(c_m, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (~node23(c_m, s3, s4)) | node18(c_m, s3, s4) | (~m_memory_v_abort(c_m, s3)))),
% 49.77/32.40 inference(rewrite,[status(thm)],[])).
% 49.77/32.40 tff(9873,plain,
% 49.77/32.40 ((node18(c_m, s3, s4) | (~node23(c_m, s3, s4)) | (~m_memory_v_abort(c_m, s3))) <=> ((~node23(c_m, s3, s4)) | node18(c_m, s3, s4) | (~m_memory_v_abort(c_m, s3)))),
% 49.77/32.40 inference(rewrite,[status(thm)],[])).
% 49.77/32.40 tff(9874,plain,
% 49.77/32.40 (((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (node18(c_m, s3, s4) | (~node23(c_m, s3, s4)) | (~m_memory_v_abort(c_m, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | ((~node23(c_m, s3, s4)) | node18(c_m, s3, s4) | (~m_memory_v_abort(c_m, s3))))),
% 49.77/32.40 inference(monotonicity,[status(thm)],[9873])).
% 49.77/32.40 tff(9875,plain,
% 49.77/32.40 (((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (node18(c_m, s3, s4) | (~node23(c_m, s3, s4)) | (~m_memory_v_abort(c_m, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (~node23(c_m, s3, s4)) | node18(c_m, s3, s4) | (~m_memory_v_abort(c_m, s3)))),
% 49.77/32.40 inference(transitivity,[status(thm)],[9874, 9872])).
% 49.77/32.40 tff(9876,plain,
% 49.77/32.40 ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (node18(c_m, s3, s4) | (~node23(c_m, s3, s4)) | (~m_memory_v_abort(c_m, s3)))),
% 49.77/32.40 inference(quant_inst,[status(thm)],[])).
% 49.77/32.40 tff(9877,plain,
% 49.77/32.40 ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (~node23(c_m, s3, s4)) | node18(c_m, s3, s4) | (~m_memory_v_abort(c_m, s3))),
% 49.77/32.40 inference(modus_ponens,[status(thm)],[9876, 9875])).
% 49.77/32.40 tff(9878,plain,
% 49.77/32.40 (node18(c_m, s3, s4) | (~m_memory_v_abort(c_m, s3))),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9877, 7383, 9871])).
% 49.77/32.40 tff(9879,plain,
% 49.77/32.40 (~m_memory_v_abort(c_m, s3)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9878, 9867])).
% 49.77/32.40 tff(9880,assumption,(node22(c_m, s3, s4)), introduced(assumption)).
% 49.77/32.40 tff(9881,plain,
% 49.77/32.40 (((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))) | ((~m_memory_v_busy(c_m, s3)) | m_memory_v_busy(c_m, s4) | (~node22(c_m, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))) | (~m_memory_v_busy(c_m, s3)) | m_memory_v_busy(c_m, s4) | (~node22(c_m, s3, s4)))),
% 49.77/32.40 inference(rewrite,[status(thm)],[])).
% 49.77/32.40 tff(9882,plain,
% 49.77/32.40 ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))) | ((~m_memory_v_busy(c_m, s3)) | m_memory_v_busy(c_m, s4) | (~node22(c_m, s3, s4)))),
% 49.77/32.40 inference(quant_inst,[status(thm)],[])).
% 49.77/32.40 tff(9883,plain,
% 49.77/32.40 ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))) | (~m_memory_v_busy(c_m, s3)) | m_memory_v_busy(c_m, s4) | (~node22(c_m, s3, s4))),
% 49.77/32.40 inference(modus_ponens,[status(thm)],[9882, 9881])).
% 49.77/32.40 tff(9884,plain,
% 49.77/32.40 ($false),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9883, 7345, 2065, 9858, 9880])).
% 49.77/32.40 tff(9885,plain,((~node22(c_m, s3, s4)) | m_memory_v_busy(c_m, s4) | (~m_memory_v_busy(c_m, s3))), inference(lemma,lemma(discharge,[]))).
% 49.77/32.40 tff(9886,plain,
% 49.77/32.40 (~node22(c_m, s3, s4)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9885, 9856, 2065])).
% 49.77/32.40 tff(9887,plain,
% 49.77/32.40 (~node32(c_p1, s2, s3)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[5107, 5076, 2621])).
% 49.77/32.40 tff(9888,plain,
% 49.77/32.40 (~m_processor_v_abort(c_p1, s2)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[5121, 9887])).
% 49.77/32.40 tff(9889,plain,
% 49.77/32.40 (node60(c_p1, s2)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9293, 9888])).
% 49.77/32.40 tff(9890,assumption,(~m_memory_v_CMD(c_m, s2, c_read_h_owned)), introduced(assumption)).
% 49.77/32.40 tff(9891,assumption,(~node1(s2)), introduced(assumption)).
% 49.77/32.40 tff(9892,plain,
% 49.77/32.40 ((~![X: $i] : node1(X)) | node1(s2)),
% 49.77/32.40 inference(quant_inst,[status(thm)],[])).
% 49.77/32.40 tff(9893,plain,
% 49.77/32.40 ($false),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9892, 4194, 9891])).
% 49.77/32.40 tff(9894,plain,(node1(s2)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.40 tff(9895,plain,
% 49.77/32.40 (((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s2)) | (~m_main_v_CMD(s2, c_read_h_owned)) | m_memory_v_CMD(c_m, s2, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s2)) | (~m_main_v_CMD(s2, c_read_h_owned)) | m_memory_v_CMD(c_m, s2, c_read_h_owned))),
% 49.77/32.40 inference(rewrite,[status(thm)],[])).
% 49.77/32.40 tff(9896,plain,
% 49.77/32.40 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s2)) | (~m_main_v_CMD(s2, c_read_h_owned)) | m_memory_v_CMD(c_m, s2, c_read_h_owned))),
% 49.77/32.40 inference(quant_inst,[status(thm)],[])).
% 49.77/32.40 tff(9897,plain,
% 49.77/32.40 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s2)) | (~m_main_v_CMD(s2, c_read_h_owned)) | m_memory_v_CMD(c_m, s2, c_read_h_owned)),
% 49.77/32.40 inference(modus_ponens,[status(thm)],[9896, 9895])).
% 49.77/32.40 tff(9898,plain,
% 49.77/32.40 ($false),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9897, 4207, 9894, 5392, 9890])).
% 49.77/32.40 tff(9899,plain,((~m_main_v_CMD(s2, c_read_h_owned)) | m_memory_v_CMD(c_m, s2, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.40 tff(9900,plain,
% 49.77/32.40 (m_memory_v_CMD(c_m, s2, c_read_h_owned)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9899, 5373])).
% 49.77/32.40 tff(9901,assumption,(node30(c_m, s2)), introduced(assumption)).
% 49.77/32.40 tff(9902,assumption,(m_memory_v_CMD(c_m, s2, c_read_h_owned)), introduced(assumption)).
% 49.77/32.40 tff(9903,plain,
% 49.77/32.40 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s2, c_read_h_owned)) | (~node30(c_m, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | (~m_memory_v_CMD(c_m, s2, c_read_h_owned)) | (~node30(c_m, s2)))),
% 49.77/32.40 inference(rewrite,[status(thm)],[])).
% 49.77/32.40 tff(9904,plain,
% 49.77/32.40 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s2, c_read_h_owned)) | (~node30(c_m, s2)))),
% 49.77/32.40 inference(quant_inst,[status(thm)],[])).
% 49.77/32.40 tff(9905,plain,
% 49.77/32.40 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | (~m_memory_v_CMD(c_m, s2, c_read_h_owned)) | (~node30(c_m, s2))),
% 49.77/32.40 inference(modus_ponens,[status(thm)],[9904, 9903])).
% 49.77/32.40 tff(9906,plain,
% 49.77/32.40 ($false),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9905, 5042, 9902, 9901])).
% 49.77/32.40 tff(9907,plain,((~node30(c_m, s2)) | (~m_memory_v_CMD(c_m, s2, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 49.77/32.40 tff(9908,plain,
% 49.77/32.40 (~node30(c_m, s2)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9907, 9900])).
% 49.77/32.40 tff(9909,plain,
% 49.77/32.40 (~m_processor_v_REPLY_h_STALL(c_p1, s2)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9301, 9889])).
% 49.77/32.40 tff(9910,plain,
% 49.77/32.40 (~m_main_v_REPLY_h_STALL(s2)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9309, 9909])).
% 49.77/32.40 tff(9911,assumption,(~node7(s2)), introduced(assumption)).
% 49.77/32.40 tff(9912,plain,
% 49.77/32.40 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | (m_main_v_REPLY_h_STALL(s2) | node7(s2))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | m_main_v_REPLY_h_STALL(s2) | node7(s2))),
% 49.77/32.40 inference(rewrite,[status(thm)],[])).
% 49.77/32.40 tff(9913,plain,
% 49.77/32.40 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | (m_main_v_REPLY_h_STALL(s2) | node7(s2))),
% 49.77/32.40 inference(quant_inst,[status(thm)],[])).
% 49.77/32.40 tff(9914,plain,
% 49.77/32.40 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | m_main_v_REPLY_h_STALL(s2) | node7(s2)),
% 49.77/32.40 inference(modus_ponens,[status(thm)],[9913, 9912])).
% 49.77/32.40 tff(9915,plain,
% 49.77/32.40 ($false),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9914, 3905, 9311, 9911])).
% 49.77/32.40 tff(9916,plain,(node7(s2) | m_main_v_REPLY_h_STALL(s2)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.40 tff(9917,plain,
% 49.77/32.40 (node7(s2)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9916, 9910])).
% 49.77/32.40 tff(9918,assumption,(m_memory_v_reply_h_stall(c_m, s2)), introduced(assumption)).
% 49.77/32.40 tff(9919,assumption,(node7(s2)), introduced(assumption)).
% 49.77/32.40 tff(9920,plain,
% 49.77/32.40 (((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | ((~node7(s2)) | (~m_memory_v_reply_h_stall(c_m, s2)))) <=> ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | (~node7(s2)) | (~m_memory_v_reply_h_stall(c_m, s2)))),
% 49.77/32.40 inference(rewrite,[status(thm)],[])).
% 49.77/32.40 tff(9921,plain,
% 49.77/32.40 ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | ((~node7(s2)) | (~m_memory_v_reply_h_stall(c_m, s2)))),
% 49.77/32.40 inference(quant_inst,[status(thm)],[])).
% 49.77/32.40 tff(9922,plain,
% 49.77/32.40 ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | (~node7(s2)) | (~m_memory_v_reply_h_stall(c_m, s2))),
% 49.77/32.40 inference(modus_ponens,[status(thm)],[9921, 9920])).
% 49.77/32.40 tff(9923,plain,
% 49.77/32.40 ($false),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9922, 3923, 9919, 9918])).
% 49.77/32.40 tff(9924,plain,((~m_memory_v_reply_h_stall(c_m, s2)) | (~node7(s2))), inference(lemma,lemma(discharge,[]))).
% 49.77/32.40 tff(9925,plain,
% 49.77/32.40 (~m_memory_v_reply_h_stall(c_m, s2)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9924, 9917])).
% 49.77/32.40 tff(9926,assumption,(m_memory_v_busy(c_m, s2)), introduced(assumption)).
% 49.77/32.40 tff(9927,assumption,(~node30(c_m, s2)), introduced(assumption)).
% 49.77/32.40 tff(9928,assumption,(~m_memory_v_reply_h_stall(c_m, s2)), introduced(assumption)).
% 49.77/32.40 tff(9929,plain,
% 49.77/32.40 (((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | ((~m_memory_v_busy(c_m, s2)) | node30(c_m, s2) | m_memory_v_reply_h_stall(c_m, s2))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | (~m_memory_v_busy(c_m, s2)) | node30(c_m, s2) | m_memory_v_reply_h_stall(c_m, s2))),
% 49.77/32.40 inference(rewrite,[status(thm)],[])).
% 49.77/32.40 tff(9930,plain,
% 49.77/32.40 ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | ((~m_memory_v_busy(c_m, s2)) | node30(c_m, s2) | m_memory_v_reply_h_stall(c_m, s2))),
% 49.77/32.40 inference(quant_inst,[status(thm)],[])).
% 49.77/32.40 tff(9931,plain,
% 49.77/32.40 ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | (~m_memory_v_busy(c_m, s2)) | node30(c_m, s2) | m_memory_v_reply_h_stall(c_m, s2)),
% 49.77/32.40 inference(modus_ponens,[status(thm)],[9930, 9929])).
% 49.77/32.40 tff(9932,plain,
% 49.77/32.40 ($false),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9931, 4819, 9928, 9927, 9926])).
% 49.77/32.40 tff(9933,plain,((~m_memory_v_busy(c_m, s2)) | m_memory_v_reply_h_stall(c_m, s2) | node30(c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.40 tff(9934,plain,
% 49.77/32.40 (~m_memory_v_busy(c_m, s2)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9933, 9925, 9908])).
% 49.77/32.40 tff(9935,assumption,(m_memory_v_REPLY_h_STALL(c_m, s2)), introduced(assumption)).
% 49.77/32.40 tff(9936,plain,
% 49.77/32.40 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | (m_main_v_REPLY_h_STALL(s2) | (~m_memory_v_REPLY_h_STALL(c_m, s2)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | m_main_v_REPLY_h_STALL(s2) | (~m_memory_v_REPLY_h_STALL(c_m, s2)))),
% 49.77/32.40 inference(rewrite,[status(thm)],[])).
% 49.77/32.40 tff(9937,plain,
% 49.77/32.40 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | (m_main_v_REPLY_h_STALL(s2) | (~m_memory_v_REPLY_h_STALL(c_m, s2)))),
% 49.77/32.40 inference(quant_inst,[status(thm)],[])).
% 49.77/32.40 tff(9938,plain,
% 49.77/32.40 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | m_main_v_REPLY_h_STALL(s2) | (~m_memory_v_REPLY_h_STALL(c_m, s2))),
% 49.77/32.40 inference(modus_ponens,[status(thm)],[9937, 9936])).
% 49.77/32.40 tff(9939,plain,
% 49.77/32.40 ($false),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9938, 4014, 9311, 9935])).
% 49.77/32.40 tff(9940,plain,((~m_memory_v_REPLY_h_STALL(c_m, s2)) | m_main_v_REPLY_h_STALL(s2)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.40 tff(9941,plain,
% 49.77/32.40 (~m_memory_v_REPLY_h_STALL(c_m, s2)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9940, 9910])).
% 49.77/32.40 tff(9942,plain,
% 49.77/32.40 (m_processor_v_master(c_p1, s2)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[5131, 5082, 2621, 5076])).
% 49.77/32.40 tff(9943,plain,
% 49.77/32.40 (~node17(s2)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[5171, 9942])).
% 49.77/32.40 tff(9944,plain,
% 49.77/32.40 (~m_memory_v_master(c_m, s2)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[5179, 9943])).
% 49.77/32.40 tff(9945,assumption,(node20(c_m, s2)), introduced(assumption)).
% 49.77/32.40 tff(9946,plain,
% 49.77/32.40 (((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))) | ((~node20(c_m, s2)) | (~m_memory_v_CMD(c_m, s2, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))) | (~node20(c_m, s2)) | (~m_memory_v_CMD(c_m, s2, c_read_h_owned)))),
% 49.77/32.40 inference(rewrite,[status(thm)],[])).
% 49.77/32.40 tff(9947,plain,
% 49.77/32.40 ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))) | ((~node20(c_m, s2)) | (~m_memory_v_CMD(c_m, s2, c_read_h_owned)))),
% 49.77/32.40 inference(quant_inst,[status(thm)],[])).
% 49.77/32.40 tff(9948,plain,
% 49.77/32.40 ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))) | (~node20(c_m, s2)) | (~m_memory_v_CMD(c_m, s2, c_read_h_owned))),
% 49.77/32.40 inference(modus_ponens,[status(thm)],[9947, 9946])).
% 49.77/32.40 tff(9949,plain,
% 49.77/32.40 ($false),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9948, 4225, 9902, 9945])).
% 49.77/32.40 tff(9950,plain,((~node20(c_m, s2)) | (~m_memory_v_CMD(c_m, s2, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 49.77/32.40 tff(9951,plain,
% 49.77/32.40 (~node20(c_m, s2)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9950, 9900])).
% 49.77/32.40 tff(9952,assumption,(node25(c_m, s2)), introduced(assumption)).
% 49.77/32.40 tff(9953,plain,
% 49.77/32.40 (^[I0: $i, X: $i] : refl(((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X))) <=> ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X))))),
% 49.77/32.40 inference(bind,[status(th)],[])).
% 49.77/32.40 tff(9954,plain,
% 49.77/32.40 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X))) <=> ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))),
% 49.77/32.40 inference(quant_intro,[status(thm)],[9953])).
% 49.77/32.40 tff(9955,plain,
% 49.77/32.40 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X))) <=> ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))),
% 49.77/32.40 inference(rewrite,[status(thm)],[])).
% 49.77/32.40 tff(9956,axiom,(![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_59')).
% 49.77/32.40 tff(9957,plain,
% 49.77/32.40 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))),
% 49.77/32.40 inference(modus_ponens,[status(thm)],[9956, 9955])).
% 49.77/32.40 tff(9958,plain,(
% 49.77/32.40 ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))),
% 49.77/32.40 inference(skolemize,[status(sab)],[9957])).
% 49.77/32.40 tff(9959,plain,
% 49.77/32.40 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))),
% 49.77/32.40 inference(modus_ponens,[status(thm)],[9958, 9954])).
% 49.77/32.40 tff(9960,plain,
% 49.77/32.40 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | ((~m_memory_v_CMD(c_m, s2, c_read_h_owned)) | (~node25(c_m, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | (~m_memory_v_CMD(c_m, s2, c_read_h_owned)) | (~node25(c_m, s2)))),
% 49.77/32.40 inference(rewrite,[status(thm)],[])).
% 49.77/32.40 tff(9961,plain,
% 49.77/32.40 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | ((~m_memory_v_CMD(c_m, s2, c_read_h_owned)) | (~node25(c_m, s2)))),
% 49.77/32.40 inference(quant_inst,[status(thm)],[])).
% 49.77/32.40 tff(9962,plain,
% 49.77/32.40 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | (~m_memory_v_CMD(c_m, s2, c_read_h_owned)) | (~node25(c_m, s2))),
% 49.77/32.40 inference(modus_ponens,[status(thm)],[9961, 9960])).
% 49.77/32.40 tff(9963,plain,
% 49.77/32.40 ($false),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9962, 9959, 9902, 9952])).
% 49.77/32.40 tff(9964,plain,((~node25(c_m, s2)) | (~m_memory_v_CMD(c_m, s2, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 49.77/32.40 tff(9965,plain,
% 49.77/32.40 (~node25(c_m, s2)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9964, 9900])).
% 49.77/32.40 tff(9966,assumption,(~m_memory_v_abort(c_m, s3)), introduced(assumption)).
% 49.77/32.40 tff(9967,assumption,(~node22(c_m, s3, s4)), introduced(assumption)).
% 49.77/32.40 tff(9968,plain,
% 49.77/32.40 (~m_processor_v_master(c_p0, s2)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[5370, 794, 9942])).
% 49.77/32.40 tff(9969,assumption,(~m_memory_v_busy(c_m, s2)), introduced(assumption)).
% 49.77/32.40 tff(9970,assumption,(~m_memory_v_REPLY_h_STALL(c_m, s2)), introduced(assumption)).
% 49.77/32.40 tff(9971,assumption,(~node27(c_m, s2)), introduced(assumption)).
% 49.77/32.40 tff(9972,assumption,(~node20(c_m, s2)), introduced(assumption)).
% 49.77/32.40 tff(9973,assumption,(~node19(c_m, s3)), introduced(assumption)).
% 49.77/32.40 tff(9974,plain,
% 49.77/32.40 (((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | ((~node23(c_m, s3, s4)) | m_memory_v_master(c_m, s3) | node19(c_m, s3) | m_memory_v_busy(c_m, s4) | node20(c_m, s3) | m_memory_v_abort(c_m, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (~node23(c_m, s3, s4)) | m_memory_v_master(c_m, s3) | node19(c_m, s3) | m_memory_v_busy(c_m, s4) | node20(c_m, s3) | m_memory_v_abort(c_m, s3))),
% 49.77/32.40 inference(rewrite,[status(thm)],[])).
% 49.77/32.40 tff(9975,plain,
% 49.77/32.40 ((m_memory_v_master(c_m, s3) | node19(c_m, s3) | m_memory_v_busy(c_m, s4) | node20(c_m, s3) | (~node23(c_m, s3, s4)) | m_memory_v_abort(c_m, s3)) <=> ((~node23(c_m, s3, s4)) | m_memory_v_master(c_m, s3) | node19(c_m, s3) | m_memory_v_busy(c_m, s4) | node20(c_m, s3) | m_memory_v_abort(c_m, s3))),
% 49.77/32.40 inference(rewrite,[status(thm)],[])).
% 49.77/32.40 tff(9976,plain,
% 49.77/32.40 (((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s3) | node19(c_m, s3) | m_memory_v_busy(c_m, s4) | node20(c_m, s3) | (~node23(c_m, s3, s4)) | m_memory_v_abort(c_m, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | ((~node23(c_m, s3, s4)) | m_memory_v_master(c_m, s3) | node19(c_m, s3) | m_memory_v_busy(c_m, s4) | node20(c_m, s3) | m_memory_v_abort(c_m, s3)))),
% 49.77/32.40 inference(monotonicity,[status(thm)],[9975])).
% 49.77/32.40 tff(9977,plain,
% 49.77/32.40 (((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s3) | node19(c_m, s3) | m_memory_v_busy(c_m, s4) | node20(c_m, s3) | (~node23(c_m, s3, s4)) | m_memory_v_abort(c_m, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (~node23(c_m, s3, s4)) | m_memory_v_master(c_m, s3) | node19(c_m, s3) | m_memory_v_busy(c_m, s4) | node20(c_m, s3) | m_memory_v_abort(c_m, s3))),
% 49.77/32.40 inference(transitivity,[status(thm)],[9976, 9974])).
% 49.77/32.40 tff(9978,plain,
% 49.77/32.40 ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s3) | node19(c_m, s3) | m_memory_v_busy(c_m, s4) | node20(c_m, s3) | (~node23(c_m, s3, s4)) | m_memory_v_abort(c_m, s3))),
% 49.77/32.40 inference(quant_inst,[status(thm)],[])).
% 49.77/32.40 tff(9979,plain,
% 49.77/32.40 ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (~node23(c_m, s3, s4)) | m_memory_v_master(c_m, s3) | node19(c_m, s3) | m_memory_v_busy(c_m, s4) | node20(c_m, s3) | m_memory_v_abort(c_m, s3)),
% 49.77/32.40 inference(modus_ponens,[status(thm)],[9978, 9977])).
% 49.77/32.40 tff(9980,plain,
% 49.77/32.40 (m_memory_v_master(c_m, s3) | node19(c_m, s3) | m_memory_v_busy(c_m, s4) | node20(c_m, s3) | m_memory_v_abort(c_m, s3)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9979, 4504, 9871])).
% 49.77/32.40 tff(9981,plain,
% 49.77/32.40 (node20(c_m, s3)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9980, 9966, 2065, 9497, 9973])).
% 49.77/32.40 tff(9982,plain,
% 49.77/32.40 (((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))) | ((~node20(c_m, s3)) | (~m_memory_v_CMD(c_m, s3, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))) | (~node20(c_m, s3)) | (~m_memory_v_CMD(c_m, s3, c_read_h_owned)))),
% 49.77/32.40 inference(rewrite,[status(thm)],[])).
% 49.77/32.40 tff(9983,plain,
% 49.77/32.40 ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))) | ((~node20(c_m, s3)) | (~m_memory_v_CMD(c_m, s3, c_read_h_owned)))),
% 49.77/32.40 inference(quant_inst,[status(thm)],[])).
% 49.77/32.40 tff(9984,plain,
% 49.77/32.40 ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))) | (~node20(c_m, s3)) | (~m_memory_v_CMD(c_m, s3, c_read_h_owned))),
% 49.77/32.40 inference(modus_ponens,[status(thm)],[9983, 9982])).
% 49.77/32.40 tff(9985,plain,
% 49.77/32.40 (~m_memory_v_CMD(c_m, s3, c_read_h_owned)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9984, 4225, 9981])).
% 49.77/32.40 tff(9986,plain,
% 49.77/32.40 (((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))) | ((~node20(c_m, s3)) | (~m_memory_v_CMD(c_m, s3, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))) | (~node20(c_m, s3)) | (~m_memory_v_CMD(c_m, s3, c_read_h_shared)))),
% 49.77/32.40 inference(rewrite,[status(thm)],[])).
% 49.77/32.40 tff(9987,plain,
% 49.77/32.40 ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))) | ((~node20(c_m, s3)) | (~m_memory_v_CMD(c_m, s3, c_read_h_shared)))),
% 49.77/32.40 inference(quant_inst,[status(thm)],[])).
% 49.77/32.40 tff(9988,plain,
% 49.77/32.40 ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))) | (~node20(c_m, s3)) | (~m_memory_v_CMD(c_m, s3, c_read_h_shared))),
% 49.77/32.40 inference(modus_ponens,[status(thm)],[9987, 9986])).
% 49.77/32.40 tff(9989,plain,
% 49.77/32.40 (~m_memory_v_CMD(c_m, s3, c_read_h_shared)),
% 49.77/32.40 inference(unit_resolution,[status(thm)],[9988, 4179, 9981])).
% 49.77/32.40 tff(9990,plain,
% 49.77/32.40 (((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | ((~node23(c_m, s3, s4)) | node22(c_m, s3, s4) | node19(c_m, s3) | node21(c_m, s3) | m_memory_v_abort(c_m, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (~node23(c_m, s3, s4)) | node22(c_m, s3, s4) | node19(c_m, s3) | node21(c_m, s3) | m_memory_v_abort(c_m, s3))),
% 49.77/32.40 inference(rewrite,[status(thm)],[])).
% 49.77/32.40 tff(9991,plain,
% 49.77/32.40 ((node19(c_m, s3) | node21(c_m, s3) | node22(c_m, s3, s4) | (~node23(c_m, s3, s4)) | m_memory_v_abort(c_m, s3)) <=> ((~node23(c_m, s3, s4)) | node22(c_m, s3, s4) | node19(c_m, s3) | node21(c_m, s3) | m_memory_v_abort(c_m, s3))),
% 49.77/32.41 inference(rewrite,[status(thm)],[])).
% 49.77/32.41 tff(9992,plain,
% 49.77/32.41 (((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (node19(c_m, s3) | node21(c_m, s3) | node22(c_m, s3, s4) | (~node23(c_m, s3, s4)) | m_memory_v_abort(c_m, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | ((~node23(c_m, s3, s4)) | node22(c_m, s3, s4) | node19(c_m, s3) | node21(c_m, s3) | m_memory_v_abort(c_m, s3)))),
% 49.77/32.41 inference(monotonicity,[status(thm)],[9991])).
% 49.77/32.41 tff(9993,plain,
% 49.77/32.41 (((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (node19(c_m, s3) | node21(c_m, s3) | node22(c_m, s3, s4) | (~node23(c_m, s3, s4)) | m_memory_v_abort(c_m, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (~node23(c_m, s3, s4)) | node22(c_m, s3, s4) | node19(c_m, s3) | node21(c_m, s3) | m_memory_v_abort(c_m, s3))),
% 49.77/32.41 inference(transitivity,[status(thm)],[9992, 9990])).
% 49.77/32.41 tff(9994,plain,
% 49.77/32.41 ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (node19(c_m, s3) | node21(c_m, s3) | node22(c_m, s3, s4) | (~node23(c_m, s3, s4)) | m_memory_v_abort(c_m, s3))),
% 49.77/32.41 inference(quant_inst,[status(thm)],[])).
% 49.77/32.41 tff(9995,plain,
% 49.77/32.41 ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (~node23(c_m, s3, s4)) | node22(c_m, s3, s4) | node19(c_m, s3) | node21(c_m, s3) | m_memory_v_abort(c_m, s3)),
% 49.77/32.41 inference(modus_ponens,[status(thm)],[9994, 9993])).
% 49.77/32.41 tff(9996,plain,
% 49.77/32.41 (node22(c_m, s3, s4) | node19(c_m, s3) | node21(c_m, s3) | m_memory_v_abort(c_m, s3)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[9995, 7365, 9871])).
% 49.77/32.41 tff(9997,plain,
% 49.77/32.41 (node21(c_m, s3)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[9996, 9966, 9973, 9967])).
% 49.77/32.41 tff(9998,plain,
% 49.77/32.41 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | ((~node21(c_m, s3)) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | m_memory_v_CMD(c_m, s3, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | (~node21(c_m, s3)) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | m_memory_v_CMD(c_m, s3, c_read_h_owned))),
% 49.77/32.41 inference(rewrite,[status(thm)],[])).
% 49.77/32.41 tff(9999,plain,
% 49.77/32.41 ((m_memory_v_CMD(c_m, s3, c_read_h_owned) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | (~node21(c_m, s3))) <=> ((~node21(c_m, s3)) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | m_memory_v_CMD(c_m, s3, c_read_h_owned))),
% 49.77/32.41 inference(rewrite,[status(thm)],[])).
% 49.77/32.41 tff(10000,plain,
% 49.77/32.41 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | (m_memory_v_CMD(c_m, s3, c_read_h_owned) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | (~node21(c_m, s3)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | ((~node21(c_m, s3)) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | m_memory_v_CMD(c_m, s3, c_read_h_owned)))),
% 49.77/32.41 inference(monotonicity,[status(thm)],[9999])).
% 49.77/32.41 tff(10001,plain,
% 49.77/32.41 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | (m_memory_v_CMD(c_m, s3, c_read_h_owned) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | (~node21(c_m, s3)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | (~node21(c_m, s3)) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | m_memory_v_CMD(c_m, s3, c_read_h_owned))),
% 49.77/32.41 inference(transitivity,[status(thm)],[10000, 9998])).
% 49.77/32.41 tff(10002,plain,
% 49.77/32.41 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | (m_memory_v_CMD(c_m, s3, c_read_h_owned) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | (~node21(c_m, s3)))),
% 49.77/32.41 inference(quant_inst,[status(thm)],[])).
% 49.77/32.41 tff(10003,plain,
% 49.77/32.41 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | (~node21(c_m, s3)) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | m_memory_v_CMD(c_m, s3, c_read_h_owned)),
% 49.77/32.41 inference(modus_ponens,[status(thm)],[10002, 10001])).
% 49.77/32.41 tff(10004,plain,
% 49.77/32.41 (m_memory_v_CMD(c_m, s3, c_read_h_shared) | m_memory_v_CMD(c_m, s3, c_read_h_owned)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[10003, 7430, 9997])).
% 49.77/32.41 tff(10005,plain,
% 49.77/32.41 ($false),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[10004, 9989, 9985])).
% 49.77/32.41 tff(10006,plain,(m_memory_v_abort(c_m, s3) | m_memory_v_busy(c_m, s4) | m_memory_v_master(c_m, s3) | node19(c_m, s3) | node22(c_m, s3, s4)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.41 tff(10007,plain,
% 49.77/32.41 (node19(c_m, s3)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[10006, 9497, 2065, 9967, 9966])).
% 49.77/32.41 tff(10008,plain,
% 49.77/32.41 (((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | (m_memory_v_master(c_m, s3) | (~node19(c_m, s3)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | m_memory_v_master(c_m, s3) | (~node19(c_m, s3)))),
% 49.77/32.41 inference(rewrite,[status(thm)],[])).
% 49.77/32.41 tff(10009,plain,
% 49.77/32.41 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | (m_memory_v_master(c_m, s3) | (~node19(c_m, s3)))),
% 49.77/32.41 inference(quant_inst,[status(thm)],[])).
% 49.77/32.41 tff(10010,plain,
% 49.77/32.41 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | m_memory_v_master(c_m, s3) | (~node19(c_m, s3))),
% 49.77/32.41 inference(modus_ponens,[status(thm)],[10009, 10008])).
% 49.77/32.41 tff(10011,plain,
% 49.77/32.41 ($false),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[10010, 4477, 9497, 10007])).
% 49.77/32.41 tff(10012,plain,(m_memory_v_master(c_m, s3) | m_memory_v_busy(c_m, s4) | node22(c_m, s3, s4) | m_memory_v_abort(c_m, s3)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.41 tff(10013,plain,
% 49.77/32.41 (m_memory_v_master(c_m, s3)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[10012, 9967, 2065, 9966])).
% 49.77/32.41 tff(10014,plain,
% 49.77/32.41 (node17(s3)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[9494, 10013])).
% 49.77/32.41 tff(10015,plain,
% 49.77/32.41 (~m_processor_v_master(c_p0, s3)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[9486, 10014])).
% 49.77/32.41 tff(10016,plain,
% 49.77/32.41 (m_processor_v_state(c_p0, s3, c_owned)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[9728, 10015, 1752])).
% 49.77/32.41 tff(10017,plain,
% 49.77/32.41 (~m_processor_v_state(c_p0, s3, c_shared)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[2661, 10016])).
% 49.77/32.41 tff(10018,plain,
% 49.77/32.41 (((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p1, s3)) | (~node17(s3)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | (~m_processor_v_master(c_p1, s3)) | (~node17(s3)))),
% 49.77/32.41 inference(rewrite,[status(thm)],[])).
% 49.77/32.41 tff(10019,plain,
% 49.77/32.41 ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p1, s3)) | (~node17(s3)))),
% 49.77/32.41 inference(quant_inst,[status(thm)],[])).
% 49.77/32.41 tff(10020,plain,
% 49.77/32.41 ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | (~m_processor_v_master(c_p1, s3)) | (~node17(s3))),
% 49.77/32.41 inference(modus_ponens,[status(thm)],[10019, 10018])).
% 49.77/32.41 tff(10021,plain,
% 49.77/32.41 ($false),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[10020, 3344, 6711, 9480])).
% 49.77/32.41 tff(10022,plain,((~m_processor_v_master(c_p1, s3)) | (~node17(s3))), inference(lemma,lemma(discharge,[]))).
% 49.77/32.41 tff(10023,plain,
% 49.77/32.41 (~m_processor_v_master(c_p1, s3)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[10022, 10014])).
% 49.77/32.41 tff(10024,plain,
% 49.77/32.41 (m_processor_v_cmd(c_p1, s3, c_idle)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[9478, 10023])).
% 49.77/32.41 tff(10025,assumption,(node19(c_m, s2)), introduced(assumption)).
% 49.77/32.41 tff(10026,plain,
% 49.77/32.41 (((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | (m_memory_v_master(c_m, s2) | (~node19(c_m, s2)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | m_memory_v_master(c_m, s2) | (~node19(c_m, s2)))),
% 49.77/32.41 inference(rewrite,[status(thm)],[])).
% 49.77/32.41 tff(10027,plain,
% 49.77/32.41 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | (m_memory_v_master(c_m, s2) | (~node19(c_m, s2)))),
% 49.77/32.41 inference(quant_inst,[status(thm)],[])).
% 49.77/32.41 tff(10028,plain,
% 49.77/32.41 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | m_memory_v_master(c_m, s2) | (~node19(c_m, s2))),
% 49.77/32.41 inference(modus_ponens,[status(thm)],[10027, 10026])).
% 49.77/32.41 tff(10029,plain,
% 49.77/32.41 ($false),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[10028, 4477, 5182, 10025])).
% 49.77/32.41 tff(10030,plain,((~node19(c_m, s2)) | m_memory_v_master(c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.41 tff(10031,plain,
% 49.77/32.41 (~node19(c_m, s2)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[10030, 5182])).
% 49.77/32.41 tff(10032,assumption,(~m_memory_v_REPLY_h_OWNED(c_m, s2)), introduced(assumption)).
% 49.77/32.41 tff(10033,assumption,(node28(c_m, s2)), introduced(assumption)).
% 49.77/32.41 tff(10034,plain,
% 49.77/32.41 (((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))) | (m_memory_v_REPLY_h_OWNED(c_m, s2) | (~node28(c_m, s2)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))) | m_memory_v_REPLY_h_OWNED(c_m, s2) | (~node28(c_m, s2)))),
% 49.77/32.41 inference(rewrite,[status(thm)],[])).
% 49.77/32.41 tff(10035,plain,
% 49.77/32.41 ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))) | (m_memory_v_REPLY_h_OWNED(c_m, s2) | (~node28(c_m, s2)))),
% 49.77/32.41 inference(quant_inst,[status(thm)],[])).
% 49.77/32.41 tff(10036,plain,
% 49.77/32.41 ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))) | m_memory_v_REPLY_h_OWNED(c_m, s2) | (~node28(c_m, s2))),
% 49.77/32.41 inference(modus_ponens,[status(thm)],[10035, 10034])).
% 49.77/32.41 tff(10037,plain,
% 49.77/32.41 ($false),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[10036, 4623, 10033, 10032])).
% 49.77/32.41 tff(10038,plain,(m_memory_v_REPLY_h_OWNED(c_m, s2) | (~node28(c_m, s2))), inference(lemma,lemma(discharge,[]))).
% 49.77/32.41 tff(10039,plain,
% 49.77/32.41 (~node28(c_m, s2)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[10038, 10032])).
% 49.77/32.41 tff(10040,assumption,(~node28(c_m, s2)), introduced(assumption)).
% 49.77/32.41 tff(10041,assumption,(m_memory_v_abort(c_m, s2)), introduced(assumption)).
% 49.77/32.41 tff(10042,plain,
% 49.77/32.41 (((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | ((~m_memory_v_abort(c_m, s2)) | m_memory_v_REPLY_h_STALL(c_m, s2) | node27(c_m, s2) | node28(c_m, s2))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | (~m_memory_v_abort(c_m, s2)) | m_memory_v_REPLY_h_STALL(c_m, s2) | node27(c_m, s2) | node28(c_m, s2))),
% 49.77/32.41 inference(rewrite,[status(thm)],[])).
% 49.77/32.41 tff(10043,plain,
% 49.77/32.41 ((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | ((~m_memory_v_abort(c_m, s2)) | m_memory_v_REPLY_h_STALL(c_m, s2) | node27(c_m, s2) | node28(c_m, s2))),
% 49.77/32.41 inference(quant_inst,[status(thm)],[])).
% 49.77/32.41 tff(10044,plain,
% 49.77/32.41 ((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | (~m_memory_v_abort(c_m, s2)) | m_memory_v_REPLY_h_STALL(c_m, s2) | node27(c_m, s2) | node28(c_m, s2)),
% 49.77/32.41 inference(modus_ponens,[status(thm)],[10043, 10042])).
% 49.77/32.41 tff(10045,plain,
% 49.77/32.41 ($false),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[10044, 4643, 9970, 10041, 10040, 9971])).
% 49.77/32.41 tff(10046,plain,(node27(c_m, s2) | m_memory_v_REPLY_h_STALL(c_m, s2) | (~m_memory_v_abort(c_m, s2)) | node28(c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.41 tff(10047,plain,
% 49.77/32.41 (~m_memory_v_abort(c_m, s2)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[10046, 10039, 9971, 9970])).
% 49.77/32.41 tff(10048,plain,
% 49.77/32.41 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | ((~trans(s2, s3)) | node23(c_m, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | (~trans(s2, s3)) | node23(c_m, s2, s3))),
% 49.77/32.41 inference(rewrite,[status(thm)],[])).
% 49.77/32.41 tff(10049,plain,
% 49.77/32.41 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | ((~trans(s2, s3)) | node23(c_m, s2, s3))),
% 49.77/32.41 inference(quant_inst,[status(thm)],[])).
% 49.77/32.41 tff(10050,plain,
% 49.77/32.41 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | (~trans(s2, s3)) | node23(c_m, s2, s3)),
% 49.77/32.41 inference(modus_ponens,[status(thm)],[10049, 10048])).
% 49.77/32.41 tff(10051,plain,
% 49.77/32.41 (node23(c_m, s2, s3)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[10050, 4490, 2684])).
% 49.77/32.41 tff(10052,plain,
% 49.77/32.41 (((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s2) | node19(c_m, s2) | (~node23(c_m, s2, s3)) | m_memory_v_busy(c_m, s3) | m_memory_v_abort(c_m, s2) | node20(c_m, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | m_memory_v_master(c_m, s2) | node19(c_m, s2) | (~node23(c_m, s2, s3)) | m_memory_v_busy(c_m, s3) | m_memory_v_abort(c_m, s2) | node20(c_m, s2))),
% 49.77/32.41 inference(rewrite,[status(thm)],[])).
% 49.77/32.41 tff(10053,plain,
% 49.77/32.41 ((m_memory_v_master(c_m, s2) | node19(c_m, s2) | m_memory_v_busy(c_m, s3) | node20(c_m, s2) | (~node23(c_m, s2, s3)) | m_memory_v_abort(c_m, s2)) <=> (m_memory_v_master(c_m, s2) | node19(c_m, s2) | (~node23(c_m, s2, s3)) | m_memory_v_busy(c_m, s3) | m_memory_v_abort(c_m, s2) | node20(c_m, s2))),
% 49.77/32.41 inference(rewrite,[status(thm)],[])).
% 49.77/32.41 tff(10054,plain,
% 49.77/32.41 (((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s2) | node19(c_m, s2) | m_memory_v_busy(c_m, s3) | node20(c_m, s2) | (~node23(c_m, s2, s3)) | m_memory_v_abort(c_m, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s2) | node19(c_m, s2) | (~node23(c_m, s2, s3)) | m_memory_v_busy(c_m, s3) | m_memory_v_abort(c_m, s2) | node20(c_m, s2)))),
% 49.77/32.41 inference(monotonicity,[status(thm)],[10053])).
% 49.77/32.41 tff(10055,plain,
% 49.77/32.41 (((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s2) | node19(c_m, s2) | m_memory_v_busy(c_m, s3) | node20(c_m, s2) | (~node23(c_m, s2, s3)) | m_memory_v_abort(c_m, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | m_memory_v_master(c_m, s2) | node19(c_m, s2) | (~node23(c_m, s2, s3)) | m_memory_v_busy(c_m, s3) | m_memory_v_abort(c_m, s2) | node20(c_m, s2))),
% 49.77/32.41 inference(transitivity,[status(thm)],[10054, 10052])).
% 49.77/32.41 tff(10056,plain,
% 49.77/32.41 ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s2) | node19(c_m, s2) | m_memory_v_busy(c_m, s3) | node20(c_m, s2) | (~node23(c_m, s2, s3)) | m_memory_v_abort(c_m, s2))),
% 49.77/32.41 inference(quant_inst,[status(thm)],[])).
% 49.77/32.41 tff(10057,plain,
% 49.77/32.41 ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | m_memory_v_master(c_m, s2) | node19(c_m, s2) | (~node23(c_m, s2, s3)) | m_memory_v_busy(c_m, s3) | m_memory_v_abort(c_m, s2) | node20(c_m, s2)),
% 49.77/32.41 inference(modus_ponens,[status(thm)],[10056, 10055])).
% 49.77/32.41 tff(10058,plain,
% 49.77/32.41 (m_memory_v_master(c_m, s2) | node19(c_m, s2) | m_memory_v_busy(c_m, s3) | m_memory_v_abort(c_m, s2) | node20(c_m, s2)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[10057, 4504, 10051])).
% 49.77/32.41 tff(10059,plain,
% 49.77/32.41 (m_memory_v_busy(c_m, s3)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[10058, 10047, 5182, 9972, 10031])).
% 49.77/32.41 tff(10060,plain,
% 49.77/32.41 (~node18(c_m, s3, s4)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[9866, 10059, 2065])).
% 49.77/32.41 tff(10061,plain,
% 49.77/32.41 (~m_memory_v_abort(c_m, s3)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[9878, 10060])).
% 49.77/32.41 tff(10062,plain,
% 49.77/32.41 (~node22(c_m, s3, s4)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[9885, 10059, 2065])).
% 49.77/32.41 tff(10063,plain,
% 49.77/32.41 (~node29(c_m, s3)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[9502, 9497])).
% 49.77/32.41 tff(10064,plain,
% 49.77/32.41 (m_memory_v_cmd(c_m, s3, c_idle)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[9510, 10063])).
% 49.77/32.41 tff(10065,assumption,(node19(c_m, s3)), introduced(assumption)).
% 49.77/32.41 tff(10066,plain,
% 49.77/32.41 (^[I0: $i, X: $i] : refl(((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response)) <=> ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response)))),
% 49.77/32.41 inference(bind,[status(th)],[])).
% 49.77/32.41 tff(10067,plain,
% 49.77/32.41 (![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response)) <=> ![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))),
% 49.77/32.41 inference(quant_intro,[status(thm)],[10066])).
% 49.77/32.41 tff(10068,plain,
% 49.77/32.41 (![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response)) <=> ![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))),
% 49.77/32.41 inference(rewrite,[status(thm)],[])).
% 49.77/32.41 tff(10069,plain,
% 49.77/32.41 (^[I0: $i, X: $i] : rewrite((m_memory_v_CMD(I0, X, c_response) | (~node19(I0, X))) <=> ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response)))),
% 49.77/32.41 inference(bind,[status(th)],[])).
% 49.77/32.41 tff(10070,plain,
% 49.77/32.41 (![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_response) | (~node19(I0, X))) <=> ![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))),
% 49.77/32.41 inference(quant_intro,[status(thm)],[10069])).
% 49.77/32.41 tff(10071,axiom,(![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_response) | (~node19(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_42')).
% 49.77/32.41 tff(10072,plain,
% 49.77/32.41 (![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))),
% 49.77/32.41 inference(modus_ponens,[status(thm)],[10071, 10070])).
% 49.77/32.41 tff(10073,plain,
% 49.77/32.41 (![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))),
% 49.77/32.41 inference(modus_ponens,[status(thm)],[10072, 10068])).
% 49.77/32.41 tff(10074,plain,(
% 49.77/32.41 ![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))),
% 49.77/32.41 inference(skolemize,[status(sab)],[10073])).
% 49.77/32.41 tff(10075,plain,
% 49.77/32.41 (![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))),
% 49.77/32.41 inference(modus_ponens,[status(thm)],[10074, 10067])).
% 49.77/32.41 tff(10076,plain,
% 49.77/32.41 (((~![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))) | ((~node19(c_m, s3)) | m_memory_v_CMD(c_m, s3, c_response))) <=> ((~![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))) | (~node19(c_m, s3)) | m_memory_v_CMD(c_m, s3, c_response))),
% 49.77/32.41 inference(rewrite,[status(thm)],[])).
% 49.77/32.41 tff(10077,plain,
% 49.77/32.41 ((~![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))) | ((~node19(c_m, s3)) | m_memory_v_CMD(c_m, s3, c_response))),
% 49.77/32.41 inference(quant_inst,[status(thm)],[])).
% 49.77/32.41 tff(10078,plain,
% 49.77/32.41 ((~![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))) | (~node19(c_m, s3)) | m_memory_v_CMD(c_m, s3, c_response)),
% 49.77/32.41 inference(modus_ponens,[status(thm)],[10077, 10076])).
% 49.77/32.41 tff(10079,plain,
% 49.77/32.41 (m_memory_v_CMD(c_m, s3, c_response)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[10078, 10075, 10065])).
% 49.77/32.41 tff(10080,assumption,(~node1(s3)), introduced(assumption)).
% 49.77/32.41 tff(10081,plain,
% 49.77/32.41 ((~![X: $i] : node1(X)) | node1(s3)),
% 49.77/32.41 inference(quant_inst,[status(thm)],[])).
% 49.77/32.41 tff(10082,plain,
% 49.77/32.41 ($false),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[10081, 4194, 10080])).
% 49.77/32.41 tff(10083,plain,(node1(s3)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.41 tff(10084,plain,
% 49.77/32.41 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s3, c_response) | (~node1(s3)) | (~m_memory_v_CMD(c_m, s3, c_response)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s3, c_response) | (~node1(s3)) | (~m_memory_v_CMD(c_m, s3, c_response)))),
% 49.77/32.41 inference(rewrite,[status(thm)],[])).
% 49.77/32.41 tff(10085,plain,
% 49.77/32.41 (((~node1(s3)) | m_main_v_CMD(s3, c_response) | (~m_memory_v_CMD(c_m, s3, c_response))) <=> (m_main_v_CMD(s3, c_response) | (~node1(s3)) | (~m_memory_v_CMD(c_m, s3, c_response)))),
% 49.77/32.41 inference(rewrite,[status(thm)],[])).
% 49.77/32.41 tff(10086,plain,
% 49.77/32.41 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s3)) | m_main_v_CMD(s3, c_response) | (~m_memory_v_CMD(c_m, s3, c_response)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s3, c_response) | (~node1(s3)) | (~m_memory_v_CMD(c_m, s3, c_response))))),
% 49.77/32.41 inference(monotonicity,[status(thm)],[10085])).
% 49.77/32.41 tff(10087,plain,
% 49.77/32.41 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s3)) | m_main_v_CMD(s3, c_response) | (~m_memory_v_CMD(c_m, s3, c_response)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s3, c_response) | (~node1(s3)) | (~m_memory_v_CMD(c_m, s3, c_response)))),
% 49.77/32.41 inference(transitivity,[status(thm)],[10086, 10084])).
% 49.77/32.41 tff(10088,plain,
% 49.77/32.41 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s3)) | m_main_v_CMD(s3, c_response) | (~m_memory_v_CMD(c_m, s3, c_response)))),
% 49.77/32.41 inference(quant_inst,[status(thm)],[])).
% 49.77/32.41 tff(10089,plain,
% 49.77/32.41 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s3, c_response) | (~node1(s3)) | (~m_memory_v_CMD(c_m, s3, c_response))),
% 49.77/32.41 inference(modus_ponens,[status(thm)],[10088, 10087])).
% 49.77/32.41 tff(10090,plain,
% 49.77/32.41 (m_main_v_CMD(s3, c_response)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[10089, 4693, 10083, 10079])).
% 49.77/32.41 tff(10091,plain,
% 49.77/32.41 (^[X: $i] : refl(((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response))) <=> ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response))))),
% 49.77/32.41 inference(bind,[status(th)],[])).
% 49.77/32.41 tff(10092,plain,
% 49.77/32.41 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response)))),
% 49.77/32.41 inference(quant_intro,[status(thm)],[10091])).
% 49.77/32.41 tff(10093,plain,
% 49.77/32.41 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response)))),
% 49.77/32.41 inference(rewrite,[status(thm)],[])).
% 49.77/32.41 tff(10094,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_9')).
% 49.77/32.41 tff(10095,plain,
% 49.77/32.41 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response)))),
% 49.77/32.41 inference(modus_ponens,[status(thm)],[10094, 10093])).
% 49.77/32.41 tff(10096,plain,(
% 49.77/32.41 ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response)))),
% 49.77/32.41 inference(skolemize,[status(sab)],[10095])).
% 49.77/32.41 tff(10097,plain,
% 49.77/32.41 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response)))),
% 49.77/32.41 inference(modus_ponens,[status(thm)],[10096, 10092])).
% 49.77/32.41 tff(10098,plain,
% 49.77/32.41 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_response)))),
% 49.77/32.41 inference(rewrite,[status(thm)],[])).
% 49.77/32.41 tff(10099,plain,
% 49.77/32.41 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_response)))),
% 49.77/32.41 inference(quant_inst,[status(thm)],[])).
% 49.77/32.41 tff(10100,plain,
% 49.77/32.41 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_response))),
% 49.77/32.41 inference(modus_ponens,[status(thm)],[10099, 10098])).
% 49.77/32.41 tff(10101,plain,
% 49.77/32.41 (~m_main_v_CMD(s3, c_idle)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[10100, 10097, 10090])).
% 49.77/32.41 tff(10102,plain,
% 49.77/32.41 (m_memory_v_master(c_m, s3)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[10010, 4477, 10065])).
% 49.77/32.41 tff(10103,plain,
% 49.77/32.41 (node17(s3)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[9494, 10102])).
% 49.77/32.41 tff(10104,plain,
% 49.77/32.41 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~node17(s3)) | (~m_processor_v_master(c_p2, s3)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s3)) | (~m_processor_v_master(c_p2, s3)))),
% 49.77/32.41 inference(rewrite,[status(thm)],[])).
% 49.77/32.41 tff(10105,plain,
% 49.77/32.41 (((~m_processor_v_master(c_p2, s3)) | (~node17(s3))) <=> ((~node17(s3)) | (~m_processor_v_master(c_p2, s3)))),
% 49.77/32.41 inference(rewrite,[status(thm)],[])).
% 49.77/32.41 tff(10106,plain,
% 49.77/32.41 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s3)) | (~node17(s3)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~node17(s3)) | (~m_processor_v_master(c_p2, s3))))),
% 49.77/32.41 inference(monotonicity,[status(thm)],[10105])).
% 49.77/32.41 tff(10107,plain,
% 49.77/32.41 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s3)) | (~node17(s3)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s3)) | (~m_processor_v_master(c_p2, s3)))),
% 49.77/32.41 inference(transitivity,[status(thm)],[10106, 10104])).
% 49.77/32.41 tff(10108,plain,
% 49.77/32.41 ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s3)) | (~node17(s3)))),
% 49.77/32.41 inference(quant_inst,[status(thm)],[])).
% 49.77/32.41 tff(10109,plain,
% 49.77/32.41 ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s3)) | (~m_processor_v_master(c_p2, s3))),
% 49.77/32.41 inference(modus_ponens,[status(thm)],[10108, 10107])).
% 49.77/32.41 tff(10110,plain,
% 49.77/32.41 ($false),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[10109, 2106, 9557, 9480])).
% 49.77/32.41 tff(10111,plain,((~m_processor_v_master(c_p2, s3)) | (~node17(s3))), inference(lemma,lemma(discharge,[]))).
% 49.77/32.41 tff(10112,plain,
% 49.77/32.41 (~m_processor_v_master(c_p2, s3)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[10111, 10103])).
% 49.77/32.41 tff(10113,plain,
% 49.77/32.41 (m_processor_v_cmd(c_p2, s3, c_idle)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[9594, 10112])).
% 49.77/32.41 tff(10114,plain,
% 49.77/32.41 (node8(s3)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[9603, 10113, 9550])).
% 49.77/32.41 tff(10115,plain,
% 49.77/32.41 (~m_processor_v_master(c_p0, s3)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[9486, 10103])).
% 49.77/32.41 tff(10116,plain,
% 49.77/32.41 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node66(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node66(c_p0, s3)))),
% 49.77/32.41 inference(rewrite,[status(thm)],[])).
% 49.77/32.41 tff(10117,plain,
% 49.77/32.41 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node66(c_p0, s3)))),
% 49.77/32.41 inference(quant_inst,[status(thm)],[])).
% 49.77/32.41 tff(10118,plain,
% 49.77/32.41 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node66(c_p0, s3))),
% 49.77/32.41 inference(modus_ponens,[status(thm)],[10117, 10116])).
% 49.77/32.41 tff(10119,plain,
% 49.77/32.41 (~node66(c_p0, s3)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[10118, 1446, 9405])).
% 49.77/32.41 tff(10120,plain,
% 49.77/32.41 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node63(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node63(c_p0, s3)))),
% 49.77/32.41 inference(rewrite,[status(thm)],[])).
% 49.77/32.41 tff(10121,plain,
% 49.77/32.41 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node63(c_p0, s3)))),
% 49.77/32.41 inference(quant_inst,[status(thm)],[])).
% 49.77/32.41 tff(10122,plain,
% 49.77/32.41 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node63(c_p0, s3))),
% 49.77/32.41 inference(modus_ponens,[status(thm)],[10121, 10120])).
% 49.77/32.41 tff(10123,plain,
% 49.77/32.41 (~node63(c_p0, s3)),
% 49.77/32.41 inference(unit_resolution,[status(thm)],[10122, 1469, 9405])).
% 49.77/32.41 tff(10124,plain,
% 49.77/32.41 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node64(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node64(c_p0, s3)))),
% 49.77/32.42 inference(rewrite,[status(thm)],[])).
% 49.77/32.42 tff(10125,plain,
% 49.77/32.42 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node64(c_p0, s3)))),
% 49.77/32.42 inference(quant_inst,[status(thm)],[])).
% 49.77/32.42 tff(10126,plain,
% 49.77/32.42 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node64(c_p0, s3))),
% 49.77/32.42 inference(modus_ponens,[status(thm)],[10125, 10124])).
% 49.77/32.42 tff(10127,plain,
% 49.77/32.42 (~node64(c_p0, s3)),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[10126, 1482, 9405])).
% 49.77/32.42 tff(10128,plain,
% 49.77/32.42 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node62(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node62(c_p0, s3)))),
% 49.77/32.42 inference(rewrite,[status(thm)],[])).
% 49.77/32.42 tff(10129,plain,
% 49.77/32.42 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node62(c_p0, s3)))),
% 49.77/32.42 inference(quant_inst,[status(thm)],[])).
% 49.77/32.42 tff(10130,plain,
% 49.77/32.42 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node62(c_p0, s3))),
% 49.77/32.42 inference(modus_ponens,[status(thm)],[10129, 10128])).
% 49.77/32.42 tff(10131,plain,
% 49.77/32.42 (~node62(c_p0, s3)),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[10130, 1493, 9405])).
% 49.77/32.42 tff(10132,plain,
% 49.77/32.42 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node65(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node65(c_p0, s3)))),
% 49.77/32.42 inference(rewrite,[status(thm)],[])).
% 49.77/32.42 tff(10133,plain,
% 49.77/32.42 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node65(c_p0, s3)))),
% 49.77/32.42 inference(quant_inst,[status(thm)],[])).
% 49.77/32.42 tff(10134,plain,
% 49.77/32.42 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node65(c_p0, s3))),
% 49.77/32.42 inference(modus_ponens,[status(thm)],[10133, 10132])).
% 49.77/32.42 tff(10135,plain,
% 49.77/32.42 (~node65(c_p0, s3)),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[10134, 1457, 9405])).
% 49.77/32.42 tff(10136,assumption,(~m_processor_v_cmd(c_p0, s3, c_idle)), introduced(assumption)).
% 49.77/32.42 tff(10137,plain,
% 49.77/32.42 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node62(c_p0, s3) | node64(c_p0, s3) | node65(c_p0, s3) | node63(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_idle) | node66(c_p0, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p0, s3) | node64(c_p0, s3) | node65(c_p0, s3) | node63(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_idle) | node66(c_p0, s3))),
% 49.77/32.42 inference(rewrite,[status(thm)],[])).
% 49.77/32.42 tff(10138,plain,
% 49.77/32.42 ((m_processor_v_cmd(c_p0, s3, c_idle) | node62(c_p0, s3) | node63(c_p0, s3) | node64(c_p0, s3) | node65(c_p0, s3) | node66(c_p0, s3)) <=> (node62(c_p0, s3) | node64(c_p0, s3) | node65(c_p0, s3) | node63(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_idle) | node66(c_p0, s3))),
% 49.77/32.42 inference(rewrite,[status(thm)],[])).
% 49.77/32.42 tff(10139,plain,
% 49.77/32.42 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s3, c_idle) | node62(c_p0, s3) | node63(c_p0, s3) | node64(c_p0, s3) | node65(c_p0, s3) | node66(c_p0, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node62(c_p0, s3) | node64(c_p0, s3) | node65(c_p0, s3) | node63(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_idle) | node66(c_p0, s3)))),
% 49.77/32.42 inference(monotonicity,[status(thm)],[10138])).
% 49.77/32.42 tff(10140,plain,
% 49.77/32.42 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s3, c_idle) | node62(c_p0, s3) | node63(c_p0, s3) | node64(c_p0, s3) | node65(c_p0, s3) | node66(c_p0, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p0, s3) | node64(c_p0, s3) | node65(c_p0, s3) | node63(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_idle) | node66(c_p0, s3))),
% 49.77/32.42 inference(transitivity,[status(thm)],[10139, 10137])).
% 49.77/32.42 tff(10141,plain,
% 49.77/32.42 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s3, c_idle) | node62(c_p0, s3) | node63(c_p0, s3) | node64(c_p0, s3) | node65(c_p0, s3) | node66(c_p0, s3))),
% 49.77/32.42 inference(quant_inst,[status(thm)],[])).
% 49.77/32.42 tff(10142,plain,
% 49.77/32.42 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p0, s3) | node64(c_p0, s3) | node65(c_p0, s3) | node63(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_idle) | node66(c_p0, s3)),
% 49.77/32.42 inference(modus_ponens,[status(thm)],[10141, 10140])).
% 49.77/32.42 tff(10143,plain,
% 49.77/32.42 ($false),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[10142, 1508, 10136, 10135, 10131, 10127, 10123, 10119])).
% 49.77/32.42 tff(10144,plain,(m_processor_v_master(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.42 tff(10145,plain,
% 49.77/32.42 (m_processor_v_cmd(c_p0, s3, c_idle)),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[10144, 10115])).
% 49.77/32.42 tff(10146,plain,
% 49.77/32.42 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s3, c_idle) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~node8(s3)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s3, c_idle) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~node8(s3)))),
% 49.77/32.42 inference(rewrite,[status(thm)],[])).
% 49.77/32.42 tff(10147,plain,
% 49.77/32.42 ((m_main_v_CMD(s3, c_idle) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_idle))) <=> (m_main_v_CMD(s3, c_idle) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~node8(s3)))),
% 49.77/32.42 inference(rewrite,[status(thm)],[])).
% 49.77/32.42 tff(10148,plain,
% 49.77/32.42 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s3, c_idle) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_idle)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s3, c_idle) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~node8(s3))))),
% 49.77/32.42 inference(monotonicity,[status(thm)],[10147])).
% 49.77/32.42 tff(10149,plain,
% 49.77/32.42 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s3, c_idle) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_idle)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s3, c_idle) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~node8(s3)))),
% 49.77/32.42 inference(transitivity,[status(thm)],[10148, 10146])).
% 49.77/32.42 tff(10150,plain,
% 49.77/32.42 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s3, c_idle) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_idle)))),
% 49.77/32.42 inference(quant_inst,[status(thm)],[])).
% 49.77/32.42 tff(10151,plain,
% 49.77/32.42 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s3, c_idle) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~node8(s3))),
% 49.77/32.42 inference(modus_ponens,[status(thm)],[10150, 10149])).
% 49.77/32.42 tff(10152,plain,
% 49.77/32.42 ($false),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[10151, 1669, 10145, 10114, 10101])).
% 49.77/32.42 tff(10153,plain,((~node19(c_m, s3)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle))), inference(lemma,lemma(discharge,[]))).
% 49.77/32.42 tff(10154,plain,
% 49.77/32.42 ($false),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[10153, 10064, 10007, 9596])).
% 49.77/32.42 tff(10155,plain,(m_memory_v_master(c_m, s3) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | m_memory_v_busy(c_m, s4) | node22(c_m, s3, s4) | m_memory_v_abort(c_m, s3)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.42 tff(10156,plain,
% 49.77/32.42 (m_memory_v_master(c_m, s3)),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[10155, 10062, 2065, 9596, 10061])).
% 49.77/32.42 tff(10157,plain,
% 49.77/32.42 (node17(s3)),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[9494, 10156])).
% 49.77/32.42 tff(10158,plain,
% 49.77/32.42 (~m_processor_v_master(c_p0, s3)),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[9486, 10157])).
% 49.77/32.42 tff(10159,plain,
% 49.77/32.42 (m_processor_v_state(c_p0, s3, c_owned)),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[9438, 10158, 1095, 2723])).
% 49.77/32.42 tff(10160,plain,
% 49.77/32.42 (m_processor_v_state(c_p0, s2, c_owned)),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[2775, 10159, 2622])).
% 49.77/32.42 tff(10161,plain,
% 49.77/32.42 (^[I0: $i, X: $i] : refl(((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X)) <=> ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X)))),
% 49.77/32.42 inference(bind,[status(th)],[])).
% 49.77/32.42 tff(10162,plain,
% 49.77/32.42 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X)) <=> ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))),
% 49.77/32.42 inference(quant_intro,[status(thm)],[10161])).
% 49.77/32.42 tff(10163,plain,
% 49.77/32.42 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X)) <=> ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))),
% 49.77/32.42 inference(rewrite,[status(thm)],[])).
% 49.77/32.42 tff(10164,plain,
% 49.77/32.42 (^[I0: $i, X: $i] : trans(monotonicity(rewrite((m_processor_v_reply_h_owned(I0, X) | m_processor_v_master(I0, X)) <=> (m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))), (((m_processor_v_reply_h_owned(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) <=> ((m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X)) | (~m_processor_v_state(I0, X, c_owned))))), rewrite(((m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) <=> ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))), (((m_processor_v_reply_h_owned(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) <=> ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))))),
% 49.77/32.42 inference(bind,[status(th)],[])).
% 49.77/32.42 tff(10165,plain,
% 49.77/32.42 (![I0: $i, X: $i] : ((m_processor_v_reply_h_owned(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned))) <=> ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))),
% 49.77/32.42 inference(quant_intro,[status(thm)],[10164])).
% 49.77/32.42 tff(10166,axiom,(![I0: $i, X: $i] : ((m_processor_v_reply_h_owned(I0, X) | m_processor_v_master(I0, X)) | (~m_processor_v_state(I0, X, c_owned)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_128')).
% 49.77/32.42 tff(10167,plain,
% 49.77/32.42 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))),
% 49.77/32.42 inference(modus_ponens,[status(thm)],[10166, 10165])).
% 49.77/32.42 tff(10168,plain,
% 49.77/32.42 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))),
% 49.77/32.42 inference(modus_ponens,[status(thm)],[10167, 10163])).
% 49.77/32.42 tff(10169,plain,(
% 49.77/32.42 ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))),
% 49.77/32.42 inference(skolemize,[status(sab)],[10168])).
% 49.77/32.42 tff(10170,plain,
% 49.77/32.42 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))),
% 49.77/32.42 inference(modus_ponens,[status(thm)],[10169, 10162])).
% 49.77/32.42 tff(10171,plain,
% 49.77/32.42 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_master(c_p0, s2) | m_processor_v_reply_h_owned(c_p0, s2))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_master(c_p0, s2) | m_processor_v_reply_h_owned(c_p0, s2))),
% 49.77/32.42 inference(rewrite,[status(thm)],[])).
% 49.77/32.42 tff(10172,plain,
% 49.77/32.42 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_master(c_p0, s2) | m_processor_v_reply_h_owned(c_p0, s2))),
% 49.77/32.42 inference(quant_inst,[status(thm)],[])).
% 49.77/32.42 tff(10173,plain,
% 49.77/32.42 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_master(c_p0, s2) | m_processor_v_reply_h_owned(c_p0, s2)),
% 49.77/32.42 inference(modus_ponens,[status(thm)],[10172, 10171])).
% 49.77/32.42 tff(10174,plain,
% 49.77/32.42 ((~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_reply_h_owned(c_p0, s2)),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[10173, 10170, 2622])).
% 49.77/32.42 tff(10175,plain,
% 49.77/32.42 (m_processor_v_reply_h_owned(c_p0, s2)),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[10174, 10160])).
% 49.77/32.42 tff(10176,plain,
% 49.77/32.42 (^[X: $i] : refl(((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X))) <=> ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X))))),
% 49.77/32.42 inference(bind,[status(th)],[])).
% 49.77/32.42 tff(10177,plain,
% 49.77/32.42 (![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X))) <=> ![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))),
% 49.77/32.42 inference(quant_intro,[status(thm)],[10176])).
% 49.77/32.42 tff(10178,plain,
% 49.77/32.42 (![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X))) <=> ![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))),
% 49.77/32.42 inference(rewrite,[status(thm)],[])).
% 49.77/32.42 tff(10179,plain,
% 49.77/32.42 (^[X: $i] : rewrite(((~m_processor_v_reply_h_owned(c_p0, X)) | (~node5(X))) <=> ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X))))),
% 49.77/32.42 inference(bind,[status(th)],[])).
% 49.77/32.42 tff(10180,plain,
% 49.77/32.42 (![X: $i] : ((~m_processor_v_reply_h_owned(c_p0, X)) | (~node5(X))) <=> ![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))),
% 49.77/32.42 inference(quant_intro,[status(thm)],[10179])).
% 49.77/32.42 tff(10181,axiom,(![X: $i] : ((~m_processor_v_reply_h_owned(c_p0, X)) | (~node5(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_74')).
% 49.77/32.42 tff(10182,plain,
% 49.77/32.42 (![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))),
% 49.77/32.42 inference(modus_ponens,[status(thm)],[10181, 10180])).
% 49.77/32.42 tff(10183,plain,
% 49.77/32.42 (![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))),
% 49.77/32.42 inference(modus_ponens,[status(thm)],[10182, 10178])).
% 49.77/32.42 tff(10184,plain,(
% 49.77/32.42 ![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))),
% 49.77/32.42 inference(skolemize,[status(sab)],[10183])).
% 49.77/32.42 tff(10185,plain,
% 49.77/32.42 (![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))),
% 49.77/32.42 inference(modus_ponens,[status(thm)],[10184, 10177])).
% 49.77/32.42 tff(10186,plain,
% 49.77/32.42 (((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | ((~node5(s2)) | (~m_processor_v_reply_h_owned(c_p0, s2)))) <=> ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | (~node5(s2)) | (~m_processor_v_reply_h_owned(c_p0, s2)))),
% 49.77/32.42 inference(rewrite,[status(thm)],[])).
% 49.77/32.42 tff(10187,plain,
% 49.77/32.42 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | ((~node5(s2)) | (~m_processor_v_reply_h_owned(c_p0, s2)))),
% 49.77/32.42 inference(quant_inst,[status(thm)],[])).
% 49.77/32.42 tff(10188,plain,
% 49.77/32.42 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | (~node5(s2)) | (~m_processor_v_reply_h_owned(c_p0, s2))),
% 49.77/32.42 inference(modus_ponens,[status(thm)],[10187, 10186])).
% 49.77/32.42 tff(10189,plain,
% 49.77/32.42 (~node5(s2)),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[10188, 10185, 10175])).
% 49.77/32.42 tff(10190,plain,
% 49.77/32.42 (^[X: $i] : refl((m_main_v_REPLY_h_OWNED(X) | node5(X)) <=> (m_main_v_REPLY_h_OWNED(X) | node5(X)))),
% 49.77/32.42 inference(bind,[status(th)],[])).
% 49.77/32.42 tff(10191,plain,
% 49.77/32.42 (![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X)) <=> ![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))),
% 49.77/32.42 inference(quant_intro,[status(thm)],[10190])).
% 49.77/32.42 tff(10192,plain,
% 49.77/32.42 (![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X)) <=> ![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))),
% 49.77/32.42 inference(rewrite,[status(thm)],[])).
% 49.77/32.42 tff(10193,axiom,(![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_77')).
% 49.77/32.42 tff(10194,plain,
% 49.77/32.42 (![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))),
% 49.77/32.42 inference(modus_ponens,[status(thm)],[10193, 10192])).
% 49.77/32.42 tff(10195,plain,(
% 49.77/32.42 ![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))),
% 49.77/32.42 inference(skolemize,[status(sab)],[10194])).
% 49.77/32.42 tff(10196,plain,
% 49.77/32.42 (![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))),
% 49.77/32.42 inference(modus_ponens,[status(thm)],[10195, 10191])).
% 49.77/32.42 tff(10197,plain,
% 49.77/32.42 (((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | (m_main_v_REPLY_h_OWNED(s2) | node5(s2))) <=> ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | m_main_v_REPLY_h_OWNED(s2) | node5(s2))),
% 49.77/32.42 inference(rewrite,[status(thm)],[])).
% 49.77/32.42 tff(10198,plain,
% 49.77/32.42 ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | (m_main_v_REPLY_h_OWNED(s2) | node5(s2))),
% 49.77/32.42 inference(quant_inst,[status(thm)],[])).
% 49.77/32.42 tff(10199,plain,
% 49.77/32.42 ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | m_main_v_REPLY_h_OWNED(s2) | node5(s2)),
% 49.77/32.42 inference(modus_ponens,[status(thm)],[10198, 10197])).
% 49.77/32.42 tff(10200,plain,
% 49.77/32.42 (m_main_v_REPLY_h_OWNED(s2)),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[10199, 10196, 10189])).
% 49.77/32.42 tff(10201,plain,
% 49.77/32.42 (^[X: $i] : refl(((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X)) <=> ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X)))),
% 49.77/32.42 inference(bind,[status(th)],[])).
% 49.77/32.42 tff(10202,plain,
% 49.77/32.42 (![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))),
% 49.77/32.42 inference(quant_intro,[status(thm)],[10201])).
% 49.77/32.42 tff(10203,plain,
% 49.77/32.42 (![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))),
% 49.77/32.42 inference(rewrite,[status(thm)],[])).
% 49.77/32.42 tff(10204,plain,
% 49.77/32.42 (^[X: $i] : rewrite((m_memory_v_REPLY_h_OWNED(c_m, X) | (~m_main_v_REPLY_h_OWNED(X))) <=> ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X)))),
% 49.77/32.42 inference(bind,[status(th)],[])).
% 49.77/32.42 tff(10205,plain,
% 49.77/32.42 (![X: $i] : (m_memory_v_REPLY_h_OWNED(c_m, X) | (~m_main_v_REPLY_h_OWNED(X))) <=> ![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))),
% 49.77/32.42 inference(quant_intro,[status(thm)],[10204])).
% 49.77/32.42 tff(10206,axiom,(![X: $i] : (m_memory_v_REPLY_h_OWNED(c_m, X) | (~m_main_v_REPLY_h_OWNED(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_41')).
% 49.77/32.42 tff(10207,plain,
% 49.77/32.42 (![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))),
% 49.77/32.42 inference(modus_ponens,[status(thm)],[10206, 10205])).
% 49.77/32.42 tff(10208,plain,
% 49.77/32.42 (![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))),
% 49.77/32.42 inference(modus_ponens,[status(thm)],[10207, 10203])).
% 49.77/32.42 tff(10209,plain,(
% 49.77/32.42 ![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))),
% 49.77/32.42 inference(skolemize,[status(sab)],[10208])).
% 49.77/32.42 tff(10210,plain,
% 49.77/32.42 (![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))),
% 49.77/32.42 inference(modus_ponens,[status(thm)],[10209, 10202])).
% 49.77/32.42 tff(10211,plain,
% 49.77/32.42 (((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | ((~m_main_v_REPLY_h_OWNED(s2)) | m_memory_v_REPLY_h_OWNED(c_m, s2))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | (~m_main_v_REPLY_h_OWNED(s2)) | m_memory_v_REPLY_h_OWNED(c_m, s2))),
% 49.77/32.42 inference(rewrite,[status(thm)],[])).
% 49.77/32.42 tff(10212,plain,
% 49.77/32.42 ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | ((~m_main_v_REPLY_h_OWNED(s2)) | m_memory_v_REPLY_h_OWNED(c_m, s2))),
% 49.77/32.42 inference(quant_inst,[status(thm)],[])).
% 49.77/32.42 tff(10213,plain,
% 49.77/32.42 ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | (~m_main_v_REPLY_h_OWNED(s2)) | m_memory_v_REPLY_h_OWNED(c_m, s2)),
% 49.77/32.42 inference(modus_ponens,[status(thm)],[10212, 10211])).
% 49.77/32.42 tff(10214,plain,
% 49.77/32.42 ($false),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[10213, 10210, 10032, 10200])).
% 49.77/32.42 tff(10215,plain,(m_memory_v_REPLY_h_OWNED(c_m, s2) | m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_state(c_p0, s3, c_shared) | m_memory_v_busy(c_m, s4) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | m_memory_v_master(c_m, s2) | node20(c_m, s2) | node27(c_m, s2) | m_memory_v_REPLY_h_STALL(c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.42 tff(10216,plain,
% 49.77/32.42 (m_memory_v_REPLY_h_OWNED(c_m, s2)),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[10215, 10024, 6880, 10017, 2065, 2622, 5182, 9972, 9971, 9970])).
% 49.77/32.42 tff(10217,assumption,(~node25(c_m, s2)), introduced(assumption)).
% 49.77/32.42 tff(10218,plain,
% 49.77/32.42 (^[I0: $i, X: $i] : refl((node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X))) <=> (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X))))),
% 49.77/32.42 inference(bind,[status(th)],[])).
% 49.77/32.42 tff(10219,plain,
% 49.77/32.42 (![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X))) <=> ![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))),
% 49.77/32.42 inference(quant_intro,[status(thm)],[10218])).
% 49.77/32.42 tff(10220,plain,
% 49.77/32.42 (![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X))) <=> ![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))),
% 49.77/32.42 inference(rewrite,[status(thm)],[])).
% 49.77/32.42 tff(10221,plain,
% 49.77/32.42 (^[I0: $i, X: $i] : trans(monotonicity(rewrite((node25(I0, X) | (~m_memory_v_REPLY_h_OWNED(I0, X))) <=> (node25(I0, X) | (~m_memory_v_REPLY_h_OWNED(I0, X)))), (((node25(I0, X) | (~m_memory_v_REPLY_h_OWNED(I0, X))) | (~node26(I0, X))) <=> ((node25(I0, X) | (~m_memory_v_REPLY_h_OWNED(I0, X))) | (~node26(I0, X))))), rewrite(((node25(I0, X) | (~m_memory_v_REPLY_h_OWNED(I0, X))) | (~node26(I0, X))) <=> (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))), (((node25(I0, X) | (~m_memory_v_REPLY_h_OWNED(I0, X))) | (~node26(I0, X))) <=> (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))))),
% 49.77/32.42 inference(bind,[status(th)],[])).
% 49.77/32.42 tff(10222,plain,
% 49.77/32.42 (![I0: $i, X: $i] : ((node25(I0, X) | (~m_memory_v_REPLY_h_OWNED(I0, X))) | (~node26(I0, X))) <=> ![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))),
% 49.77/32.42 inference(quant_intro,[status(thm)],[10221])).
% 49.77/32.42 tff(10223,axiom,(![I0: $i, X: $i] : ((node25(I0, X) | (~m_memory_v_REPLY_h_OWNED(I0, X))) | (~node26(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_62')).
% 49.77/32.42 tff(10224,plain,
% 49.77/32.42 (![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))),
% 49.77/32.42 inference(modus_ponens,[status(thm)],[10223, 10222])).
% 49.77/32.42 tff(10225,plain,
% 49.77/32.42 (![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))),
% 49.77/32.42 inference(modus_ponens,[status(thm)],[10224, 10220])).
% 49.77/32.42 tff(10226,plain,(
% 49.77/32.42 ![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))),
% 49.77/32.42 inference(skolemize,[status(sab)],[10225])).
% 49.77/32.42 tff(10227,plain,
% 49.77/32.42 (![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))),
% 49.77/32.42 inference(modus_ponens,[status(thm)],[10226, 10219])).
% 49.77/32.42 tff(10228,plain,
% 49.77/32.42 (((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | ((~node26(c_m, s2)) | node25(c_m, s2) | (~m_memory_v_REPLY_h_OWNED(c_m, s2)))) <=> ((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | (~node26(c_m, s2)) | node25(c_m, s2) | (~m_memory_v_REPLY_h_OWNED(c_m, s2)))),
% 49.77/32.42 inference(rewrite,[status(thm)],[])).
% 49.77/32.42 tff(10229,plain,
% 49.77/32.42 ((node25(c_m, s2) | (~node26(c_m, s2)) | (~m_memory_v_REPLY_h_OWNED(c_m, s2))) <=> ((~node26(c_m, s2)) | node25(c_m, s2) | (~m_memory_v_REPLY_h_OWNED(c_m, s2)))),
% 49.77/32.42 inference(rewrite,[status(thm)],[])).
% 49.77/32.42 tff(10230,plain,
% 49.77/32.42 (((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | (node25(c_m, s2) | (~node26(c_m, s2)) | (~m_memory_v_REPLY_h_OWNED(c_m, s2)))) <=> ((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | ((~node26(c_m, s2)) | node25(c_m, s2) | (~m_memory_v_REPLY_h_OWNED(c_m, s2))))),
% 49.77/32.42 inference(monotonicity,[status(thm)],[10229])).
% 49.77/32.42 tff(10231,plain,
% 49.77/32.42 (((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | (node25(c_m, s2) | (~node26(c_m, s2)) | (~m_memory_v_REPLY_h_OWNED(c_m, s2)))) <=> ((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | (~node26(c_m, s2)) | node25(c_m, s2) | (~m_memory_v_REPLY_h_OWNED(c_m, s2)))),
% 49.77/32.42 inference(transitivity,[status(thm)],[10230, 10228])).
% 49.77/32.42 tff(10232,plain,
% 49.77/32.42 ((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | (node25(c_m, s2) | (~node26(c_m, s2)) | (~m_memory_v_REPLY_h_OWNED(c_m, s2)))),
% 49.77/32.42 inference(quant_inst,[status(thm)],[])).
% 49.77/32.42 tff(10233,plain,
% 49.77/32.42 ((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | (~node26(c_m, s2)) | node25(c_m, s2) | (~m_memory_v_REPLY_h_OWNED(c_m, s2))),
% 49.77/32.42 inference(modus_ponens,[status(thm)],[10232, 10231])).
% 49.77/32.42 tff(10234,plain,
% 49.77/32.42 (~node26(c_m, s2)),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[10233, 10227, 10217, 10216])).
% 49.77/32.42 tff(10235,assumption,(~m_memory_v_abort(c_m, s2)), introduced(assumption)).
% 49.77/32.42 tff(10236,assumption,(~node26(c_m, s2)), introduced(assumption)).
% 49.77/32.42 tff(10237,plain,
% 49.77/32.42 (((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | (m_memory_v_abort(c_m, s2) | node26(c_m, s2))) <=> ((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | m_memory_v_abort(c_m, s2) | node26(c_m, s2))),
% 49.77/32.42 inference(rewrite,[status(thm)],[])).
% 49.77/32.42 tff(10238,plain,
% 49.77/32.42 ((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | (m_memory_v_abort(c_m, s2) | node26(c_m, s2))),
% 49.77/32.42 inference(quant_inst,[status(thm)],[])).
% 49.77/32.42 tff(10239,plain,
% 49.77/32.42 ((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | m_memory_v_abort(c_m, s2) | node26(c_m, s2)),
% 49.77/32.42 inference(modus_ponens,[status(thm)],[10238, 10237])).
% 49.77/32.42 tff(10240,plain,
% 49.77/32.42 ($false),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[10239, 7810, 10236, 10235])).
% 49.77/32.42 tff(10241,plain,(m_memory_v_abort(c_m, s2) | node26(c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.42 tff(10242,plain,
% 49.77/32.42 (m_memory_v_abort(c_m, s2)),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[10241, 10234])).
% 49.77/32.42 tff(10243,plain,
% 49.77/32.42 (((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | ((~node23(c_m, s2, s3)) | node18(c_m, s2, s3) | (~m_memory_v_abort(c_m, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (~node23(c_m, s2, s3)) | node18(c_m, s2, s3) | (~m_memory_v_abort(c_m, s2)))),
% 49.77/32.42 inference(rewrite,[status(thm)],[])).
% 49.77/32.42 tff(10244,plain,
% 49.77/32.42 ((node18(c_m, s2, s3) | (~node23(c_m, s2, s3)) | (~m_memory_v_abort(c_m, s2))) <=> ((~node23(c_m, s2, s3)) | node18(c_m, s2, s3) | (~m_memory_v_abort(c_m, s2)))),
% 49.77/32.42 inference(rewrite,[status(thm)],[])).
% 49.77/32.42 tff(10245,plain,
% 49.77/32.42 (((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (node18(c_m, s2, s3) | (~node23(c_m, s2, s3)) | (~m_memory_v_abort(c_m, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | ((~node23(c_m, s2, s3)) | node18(c_m, s2, s3) | (~m_memory_v_abort(c_m, s2))))),
% 49.77/32.42 inference(monotonicity,[status(thm)],[10244])).
% 49.77/32.42 tff(10246,plain,
% 49.77/32.42 (((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (node18(c_m, s2, s3) | (~node23(c_m, s2, s3)) | (~m_memory_v_abort(c_m, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (~node23(c_m, s2, s3)) | node18(c_m, s2, s3) | (~m_memory_v_abort(c_m, s2)))),
% 49.77/32.42 inference(transitivity,[status(thm)],[10245, 10243])).
% 49.77/32.42 tff(10247,plain,
% 49.77/32.42 ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (node18(c_m, s2, s3) | (~node23(c_m, s2, s3)) | (~m_memory_v_abort(c_m, s2)))),
% 49.77/32.42 inference(quant_inst,[status(thm)],[])).
% 49.77/32.42 tff(10248,plain,
% 49.77/32.42 ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (~node23(c_m, s2, s3)) | node18(c_m, s2, s3) | (~m_memory_v_abort(c_m, s2))),
% 49.77/32.42 inference(modus_ponens,[status(thm)],[10247, 10246])).
% 49.77/32.42 tff(10249,plain,
% 49.77/32.42 (node18(c_m, s2, s3) | (~m_memory_v_abort(c_m, s2))),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[10248, 7383, 10051])).
% 49.77/32.42 tff(10250,plain,
% 49.77/32.42 (node18(c_m, s2, s3)),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[10249, 10242])).
% 49.77/32.42 tff(10251,plain,
% 49.77/32.42 (node21(c_m, s3)),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[9996, 9967, 9973, 9966])).
% 49.77/32.42 tff(10252,plain,
% 49.77/32.42 (m_memory_v_master(c_m, s3)),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[10155, 9967, 2065, 9596, 9966])).
% 49.77/32.42 tff(10253,plain,
% 49.77/32.42 (^[I0: $i, X: $i] : refl(((~m_memory_v_master(I0, X)) | (~node21(I0, X))) <=> ((~m_memory_v_master(I0, X)) | (~node21(I0, X))))),
% 49.77/32.42 inference(bind,[status(th)],[])).
% 49.77/32.42 tff(10254,plain,
% 49.77/32.42 (![I0: $i, X: $i] : ((~m_memory_v_master(I0, X)) | (~node21(I0, X))) <=> ![I0: $i, X: $i] : ((~m_memory_v_master(I0, X)) | (~node21(I0, X)))),
% 49.77/32.42 inference(quant_intro,[status(thm)],[10253])).
% 49.77/32.42 tff(10255,plain,
% 49.77/32.42 (![I0: $i, X: $i] : ((~m_memory_v_master(I0, X)) | (~node21(I0, X))) <=> ![I0: $i, X: $i] : ((~m_memory_v_master(I0, X)) | (~node21(I0, X)))),
% 49.77/32.42 inference(rewrite,[status(thm)],[])).
% 49.77/32.42 tff(10256,axiom,(![I0: $i, X: $i] : ((~m_memory_v_master(I0, X)) | (~node21(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_45')).
% 49.77/32.42 tff(10257,plain,
% 49.77/32.42 (![I0: $i, X: $i] : ((~m_memory_v_master(I0, X)) | (~node21(I0, X)))),
% 49.77/32.42 inference(modus_ponens,[status(thm)],[10256, 10255])).
% 49.77/32.42 tff(10258,plain,(
% 49.77/32.42 ![I0: $i, X: $i] : ((~m_memory_v_master(I0, X)) | (~node21(I0, X)))),
% 49.77/32.42 inference(skolemize,[status(sab)],[10257])).
% 49.77/32.42 tff(10259,plain,
% 49.77/32.42 (![I0: $i, X: $i] : ((~m_memory_v_master(I0, X)) | (~node21(I0, X)))),
% 49.77/32.42 inference(modus_ponens,[status(thm)],[10258, 10254])).
% 49.77/32.42 tff(10260,plain,
% 49.77/32.42 (((~![I0: $i, X: $i] : ((~m_memory_v_master(I0, X)) | (~node21(I0, X)))) | ((~m_memory_v_master(c_m, s3)) | (~node21(c_m, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_master(I0, X)) | (~node21(I0, X)))) | (~m_memory_v_master(c_m, s3)) | (~node21(c_m, s3)))),
% 49.77/32.42 inference(rewrite,[status(thm)],[])).
% 49.77/32.42 tff(10261,plain,
% 49.77/32.42 ((~![I0: $i, X: $i] : ((~m_memory_v_master(I0, X)) | (~node21(I0, X)))) | ((~m_memory_v_master(c_m, s3)) | (~node21(c_m, s3)))),
% 49.77/32.42 inference(quant_inst,[status(thm)],[])).
% 49.77/32.42 tff(10262,plain,
% 49.77/32.42 ((~![I0: $i, X: $i] : ((~m_memory_v_master(I0, X)) | (~node21(I0, X)))) | (~m_memory_v_master(c_m, s3)) | (~node21(c_m, s3))),
% 49.77/32.42 inference(modus_ponens,[status(thm)],[10261, 10260])).
% 49.77/32.42 tff(10263,plain,
% 49.77/32.42 ($false),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[10262, 10259, 10252, 10251])).
% 49.77/32.42 tff(10264,plain,(node22(c_m, s3, s4) | node19(c_m, s3) | m_memory_v_abort(c_m, s3) | m_memory_v_busy(c_m, s4) | (~m_processor_v_cmd(c_p1, s3, c_idle))), inference(lemma,lemma(discharge,[]))).
% 49.77/32.42 tff(10265,plain,
% 49.77/32.42 (node19(c_m, s3)),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[10264, 10024, 9966, 2065, 9967])).
% 49.77/32.42 tff(10266,plain,
% 49.77/32.42 (~m_memory_v_cmd(c_m, s3, c_idle)),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[10153, 10024, 10265])).
% 49.77/32.42 tff(10267,plain,
% 49.77/32.42 (node29(c_m, s3)),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[9510, 10266])).
% 49.77/32.42 tff(10268,plain,
% 49.77/32.42 (m_memory_v_busy(c_m, s3)),
% 49.77/32.42 inference(unit_resolution,[status(thm)],[9855, 10267])).
% 49.77/32.42 tff(10269,plain,
% 49.77/32.42 (^[Y: $i, I0: $i, X: $i] : refl(((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y))) <=> ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y))))),
% 49.77/32.43 inference(bind,[status(th)],[])).
% 49.77/32.43 tff(10270,plain,
% 49.77/32.43 (![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))),
% 49.77/32.43 inference(quant_intro,[status(thm)],[10269])).
% 49.77/32.43 tff(10271,plain,
% 49.77/32.43 (![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))),
% 49.77/32.43 inference(rewrite,[status(thm)],[])).
% 49.77/32.43 tff(10272,plain,
% 49.77/32.43 (^[Y: $i, I0: $i, X: $i] : rewrite((((~m_memory_v_busy(I0, Y)) | m_memory_v_busy(I0, X)) | (~node18(I0, X, Y))) <=> ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y))))),
% 49.77/32.43 inference(bind,[status(th)],[])).
% 49.77/32.43 tff(10273,plain,
% 49.77/32.43 (![Y: $i, I0: $i, X: $i] : (((~m_memory_v_busy(I0, Y)) | m_memory_v_busy(I0, X)) | (~node18(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))),
% 49.77/32.43 inference(quant_intro,[status(thm)],[10272])).
% 49.77/32.43 tff(10274,axiom,(![Y: $i, I0: $i, X: $i] : (((~m_memory_v_busy(I0, Y)) | m_memory_v_busy(I0, X)) | (~node18(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_40')).
% 49.77/32.43 tff(10275,plain,
% 49.77/32.43 (![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))),
% 49.77/32.43 inference(modus_ponens,[status(thm)],[10274, 10273])).
% 49.77/32.43 tff(10276,plain,
% 49.77/32.43 (![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))),
% 49.77/32.43 inference(modus_ponens,[status(thm)],[10275, 10271])).
% 49.77/32.43 tff(10277,plain,(
% 49.77/32.43 ![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))),
% 49.77/32.43 inference(skolemize,[status(sab)],[10276])).
% 49.77/32.43 tff(10278,plain,
% 49.77/32.43 (![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))),
% 49.77/32.43 inference(modus_ponens,[status(thm)],[10277, 10270])).
% 49.77/32.43 tff(10279,plain,
% 49.77/32.43 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | (m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s3)) | (~node18(c_m, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s3)) | (~node18(c_m, s2, s3)))),
% 49.77/32.43 inference(rewrite,[status(thm)],[])).
% 49.77/32.43 tff(10280,plain,
% 49.77/32.43 (((~node18(c_m, s2, s3)) | m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s3))) <=> (m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s3)) | (~node18(c_m, s2, s3)))),
% 49.77/32.43 inference(rewrite,[status(thm)],[])).
% 49.77/32.43 tff(10281,plain,
% 49.77/32.43 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | ((~node18(c_m, s2, s3)) | m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | (m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s3)) | (~node18(c_m, s2, s3))))),
% 49.77/32.43 inference(monotonicity,[status(thm)],[10280])).
% 49.77/32.43 tff(10282,plain,
% 49.77/32.43 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | ((~node18(c_m, s2, s3)) | m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s3)) | (~node18(c_m, s2, s3)))),
% 49.77/32.43 inference(transitivity,[status(thm)],[10281, 10279])).
% 49.77/32.43 tff(10283,plain,
% 49.77/32.43 ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | ((~node18(c_m, s2, s3)) | m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s3)))),
% 49.77/32.43 inference(quant_inst,[status(thm)],[])).
% 49.77/32.43 tff(10284,plain,
% 49.77/32.43 ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s3)) | (~node18(c_m, s2, s3))),
% 49.77/32.43 inference(modus_ponens,[status(thm)],[10283, 10282])).
% 49.77/32.43 tff(10285,plain,
% 49.77/32.43 ($false),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10284, 10278, 10268, 10250, 9969])).
% 49.77/32.43 tff(10286,plain,(node22(c_m, s3, s4) | m_memory_v_busy(c_m, s2) | node25(c_m, s2) | m_memory_v_abort(c_m, s3) | m_memory_v_busy(c_m, s4) | m_processor_v_master(c_p0, s2) | m_memory_v_master(c_m, s2) | node20(c_m, s2) | node27(c_m, s2) | m_memory_v_REPLY_h_STALL(c_m, s2) | (~m_processor_v_state(c_p0, s4, c_owned))), inference(lemma,lemma(discharge,[]))).
% 49.77/32.43 tff(10287,plain,
% 49.77/32.43 (node27(c_m, s2)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10286, 9968, 2065, 1752, 9967, 9966, 9965, 9951, 9944, 9941, 9934])).
% 49.77/32.43 tff(10288,assumption,(node27(c_m, s2)), introduced(assumption)).
% 49.77/32.43 tff(10289,assumption,(~m_memory_v_REPLY_h_WAITING(c_m, s2)), introduced(assumption)).
% 49.77/32.43 tff(10290,plain,
% 49.77/32.43 (((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))) | (m_memory_v_REPLY_h_WAITING(c_m, s2) | (~node27(c_m, s2)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))) | m_memory_v_REPLY_h_WAITING(c_m, s2) | (~node27(c_m, s2)))),
% 49.77/32.43 inference(rewrite,[status(thm)],[])).
% 49.77/32.43 tff(10291,plain,
% 49.77/32.43 ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))) | (m_memory_v_REPLY_h_WAITING(c_m, s2) | (~node27(c_m, s2)))),
% 49.77/32.43 inference(quant_inst,[status(thm)],[])).
% 49.77/32.43 tff(10292,plain,
% 49.77/32.43 ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))) | m_memory_v_REPLY_h_WAITING(c_m, s2) | (~node27(c_m, s2))),
% 49.77/32.43 inference(modus_ponens,[status(thm)],[10291, 10290])).
% 49.77/32.43 tff(10293,plain,
% 49.77/32.43 ($false),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10292, 4659, 10289, 10288])).
% 49.77/32.43 tff(10294,plain,((~node27(c_m, s2)) | m_memory_v_REPLY_h_WAITING(c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.43 tff(10295,plain,
% 49.77/32.43 (m_memory_v_REPLY_h_WAITING(c_m, s2)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10294, 10287])).
% 49.77/32.43 tff(10296,assumption,(m_memory_v_REPLY_h_WAITING(c_m, s2)), introduced(assumption)).
% 49.77/32.43 tff(10297,plain,
% 49.77/32.43 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))) | (m_main_v_REPLY_h_WAITING(s2) | (~m_memory_v_REPLY_h_WAITING(c_m, s2)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))) | m_main_v_REPLY_h_WAITING(s2) | (~m_memory_v_REPLY_h_WAITING(c_m, s2)))),
% 49.77/32.43 inference(rewrite,[status(thm)],[])).
% 49.77/32.43 tff(10298,plain,
% 49.77/32.43 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))) | (m_main_v_REPLY_h_WAITING(s2) | (~m_memory_v_REPLY_h_WAITING(c_m, s2)))),
% 49.77/32.43 inference(quant_inst,[status(thm)],[])).
% 49.77/32.43 tff(10299,plain,
% 49.77/32.43 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))) | m_main_v_REPLY_h_WAITING(s2) | (~m_memory_v_REPLY_h_WAITING(c_m, s2))),
% 49.77/32.43 inference(modus_ponens,[status(thm)],[10298, 10297])).
% 49.77/32.43 tff(10300,plain,
% 49.77/32.43 ($false),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10299, 4677, 9343, 10296])).
% 49.77/32.43 tff(10301,plain,(m_main_v_REPLY_h_WAITING(s2) | (~m_memory_v_REPLY_h_WAITING(c_m, s2))), inference(lemma,lemma(discharge,[]))).
% 49.77/32.43 tff(10302,plain,
% 49.77/32.43 (m_main_v_REPLY_h_WAITING(s2)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10301, 10295])).
% 49.77/32.43 tff(10303,plain,
% 49.77/32.43 (m_processor_v_REPLY_h_WAITING(c_p1, s2)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[9340, 10302])).
% 49.77/32.43 tff(10304,plain,
% 49.77/32.43 (node59(c_p1, s2)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[9332, 10303, 9889])).
% 49.77/32.43 tff(10305,plain,
% 49.77/32.43 (m_processor_v_CMD(c_p1, s2, c_read_h_owned)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[5401, 5373])).
% 49.77/32.43 tff(10306,plain,
% 49.77/32.43 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~node59(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~node59(c_p1, s2)))),
% 49.77/32.43 inference(rewrite,[status(thm)],[])).
% 49.77/32.43 tff(10307,plain,
% 49.77/32.43 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~node59(c_p1, s2)))),
% 49.77/32.43 inference(quant_inst,[status(thm)],[])).
% 49.77/32.43 tff(10308,plain,
% 49.77/32.43 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | (~node59(c_p1, s2))),
% 49.77/32.43 inference(modus_ponens,[status(thm)],[10307, 10306])).
% 49.77/32.43 tff(10309,plain,
% 49.77/32.43 ($false),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10308, 707, 10305, 10304])).
% 49.77/32.43 tff(10310,plain,((~m_processor_v_state(c_p1, s2, c_invalid)) | m_memory_v_busy(c_m, s4) | (~m_processor_v_state(c_p0, s4, c_owned)) | node22(c_m, s3, s4) | m_memory_v_abort(c_m, s3) | (~m_processor_v_state(c_p1, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 49.77/32.43 tff(10311,plain,
% 49.77/32.43 (~m_processor_v_state(c_p1, s2, c_invalid)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10310, 9886, 1752, 2065, 9879, 2595])).
% 49.77/32.43 tff(10312,plain,
% 49.77/32.43 (m_processor_v_state(c_p0, s2, c_invalid)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[5074, 10311])).
% 49.77/32.43 tff(10313,plain,
% 49.77/32.43 (m_processor_v_master(c_p0, s2)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[9440, 10312, 6880, 9846])).
% 49.77/32.43 tff(10314,plain,
% 49.77/32.43 (~m_processor_v_master(c_p1, s2)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[5370, 794, 10313])).
% 49.77/32.43 tff(10315,plain,
% 49.77/32.43 (m_processor_v_state(c_p1, s2, c_owned)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[5484, 5090, 2595])).
% 49.77/32.43 tff(10316,assumption,(~m_processor_v_reply_h_owned(c_p1, s2)), introduced(assumption)).
% 49.77/32.43 tff(10317,plain,
% 49.77/32.43 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_master(c_p1, s2) | m_processor_v_reply_h_owned(c_p1, s2))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_master(c_p1, s2) | m_processor_v_reply_h_owned(c_p1, s2))),
% 49.77/32.43 inference(rewrite,[status(thm)],[])).
% 49.77/32.43 tff(10318,plain,
% 49.77/32.43 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_master(c_p1, s2) | m_processor_v_reply_h_owned(c_p1, s2))),
% 49.77/32.43 inference(quant_inst,[status(thm)],[])).
% 49.77/32.43 tff(10319,plain,
% 49.77/32.43 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_master(c_p1, s2) | m_processor_v_reply_h_owned(c_p1, s2)),
% 49.77/32.43 inference(modus_ponens,[status(thm)],[10318, 10317])).
% 49.77/32.43 tff(10320,plain,
% 49.77/32.43 ((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_master(c_p1, s2)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10319, 10170, 10316])).
% 49.77/32.43 tff(10321,plain,
% 49.77/32.43 ($false),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10320, 10315, 5090])).
% 49.77/32.43 tff(10322,plain,(m_processor_v_master(c_p1, s2) | m_processor_v_reply_h_owned(c_p1, s2) | (~m_processor_v_state(c_p1, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 49.77/32.43 tff(10323,plain,
% 49.77/32.43 (m_processor_v_reply_h_owned(c_p1, s2)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10322, 10314, 2595])).
% 49.77/32.43 tff(10324,plain,
% 49.77/32.43 (^[X: $i] : refl(((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X))) <=> ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X))))),
% 49.77/32.43 inference(bind,[status(th)],[])).
% 49.77/32.43 tff(10325,plain,
% 49.77/32.43 (![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X))) <=> ![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))),
% 49.77/32.43 inference(quant_intro,[status(thm)],[10324])).
% 49.77/32.43 tff(10326,plain,
% 49.77/32.43 (![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X))) <=> ![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))),
% 49.77/32.43 inference(rewrite,[status(thm)],[])).
% 49.77/32.43 tff(10327,plain,
% 49.77/32.43 (^[X: $i] : rewrite(((~m_processor_v_reply_h_owned(c_p1, X)) | (~node5(X))) <=> ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X))))),
% 49.77/32.43 inference(bind,[status(th)],[])).
% 49.77/32.43 tff(10328,plain,
% 49.77/32.43 (![X: $i] : ((~m_processor_v_reply_h_owned(c_p1, X)) | (~node5(X))) <=> ![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))),
% 49.77/32.43 inference(quant_intro,[status(thm)],[10327])).
% 49.77/32.43 tff(10329,axiom,(![X: $i] : ((~m_processor_v_reply_h_owned(c_p1, X)) | (~node5(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_75')).
% 49.77/32.43 tff(10330,plain,
% 49.77/32.43 (![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))),
% 49.77/32.43 inference(modus_ponens,[status(thm)],[10329, 10328])).
% 49.77/32.43 tff(10331,plain,
% 49.77/32.43 (![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))),
% 49.77/32.43 inference(modus_ponens,[status(thm)],[10330, 10326])).
% 49.77/32.43 tff(10332,plain,(
% 49.77/32.43 ![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))),
% 49.77/32.43 inference(skolemize,[status(sab)],[10331])).
% 49.77/32.43 tff(10333,plain,
% 49.77/32.43 (![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))),
% 49.77/32.43 inference(modus_ponens,[status(thm)],[10332, 10325])).
% 49.77/32.43 tff(10334,plain,
% 49.77/32.43 (((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))) | ((~node5(s2)) | (~m_processor_v_reply_h_owned(c_p1, s2)))) <=> ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))) | (~node5(s2)) | (~m_processor_v_reply_h_owned(c_p1, s2)))),
% 49.77/32.43 inference(rewrite,[status(thm)],[])).
% 49.77/32.43 tff(10335,plain,
% 49.77/32.43 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))) | ((~node5(s2)) | (~m_processor_v_reply_h_owned(c_p1, s2)))),
% 49.77/32.43 inference(quant_inst,[status(thm)],[])).
% 49.77/32.43 tff(10336,plain,
% 49.77/32.43 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))) | (~node5(s2)) | (~m_processor_v_reply_h_owned(c_p1, s2))),
% 49.77/32.43 inference(modus_ponens,[status(thm)],[10335, 10334])).
% 49.77/32.43 tff(10337,plain,
% 49.77/32.43 (~node5(s2)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10336, 10333, 10323])).
% 49.77/32.43 tff(10338,plain,
% 49.77/32.43 (~m_memory_v_CMD(c_m, s2, c_read_h_owned)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[9907, 9901])).
% 49.77/32.43 tff(10339,plain,
% 49.77/32.43 (~m_main_v_CMD(s2, c_read_h_owned)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[9899, 10338])).
% 49.77/32.43 tff(10340,assumption,(m_memory_v_CMD(c_m, s2, c_read_h_shared)), introduced(assumption)).
% 49.77/32.43 tff(10341,plain,
% 49.77/32.43 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s2, c_read_h_shared)) | (~node30(c_m, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X)))) | (~m_memory_v_CMD(c_m, s2, c_read_h_shared)) | (~node30(c_m, s2)))),
% 49.77/32.43 inference(rewrite,[status(thm)],[])).
% 49.77/32.43 tff(10342,plain,
% 49.77/32.43 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s2, c_read_h_shared)) | (~node30(c_m, s2)))),
% 49.77/32.43 inference(quant_inst,[status(thm)],[])).
% 49.77/32.43 tff(10343,plain,
% 49.77/32.43 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X)))) | (~m_memory_v_CMD(c_m, s2, c_read_h_shared)) | (~node30(c_m, s2))),
% 49.77/32.43 inference(modus_ponens,[status(thm)],[10342, 10341])).
% 49.77/32.43 tff(10344,plain,
% 49.77/32.43 ($false),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10343, 4972, 10340, 9901])).
% 49.77/32.43 tff(10345,plain,((~node30(c_m, s2)) | (~m_memory_v_CMD(c_m, s2, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 49.77/32.43 tff(10346,plain,
% 49.77/32.43 (~m_memory_v_CMD(c_m, s2, c_read_h_shared)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10345, 9901])).
% 49.77/32.43 tff(10347,assumption,(~m_memory_v_CMD(c_m, s2, c_read_h_shared)), introduced(assumption)).
% 49.77/32.43 tff(10348,plain,
% 49.77/32.43 (((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s2)) | (~m_main_v_CMD(s2, c_read_h_shared)) | m_memory_v_CMD(c_m, s2, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s2)) | (~m_main_v_CMD(s2, c_read_h_shared)) | m_memory_v_CMD(c_m, s2, c_read_h_shared))),
% 49.77/32.43 inference(rewrite,[status(thm)],[])).
% 49.77/32.43 tff(10349,plain,
% 49.77/32.43 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s2)) | (~m_main_v_CMD(s2, c_read_h_shared)) | m_memory_v_CMD(c_m, s2, c_read_h_shared))),
% 49.77/32.43 inference(quant_inst,[status(thm)],[])).
% 49.77/32.43 tff(10350,plain,
% 49.77/32.43 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s2)) | (~m_main_v_CMD(s2, c_read_h_shared)) | m_memory_v_CMD(c_m, s2, c_read_h_shared)),
% 49.77/32.43 inference(modus_ponens,[status(thm)],[10349, 10348])).
% 49.77/32.43 tff(10351,plain,
% 49.77/32.43 ($false),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10350, 4207, 9894, 5286, 10347])).
% 49.77/32.43 tff(10352,plain,((~m_main_v_CMD(s2, c_read_h_shared)) | m_memory_v_CMD(c_m, s2, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.43 tff(10353,plain,
% 49.77/32.43 (~m_main_v_CMD(s2, c_read_h_shared)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10352, 10346])).
% 49.77/32.43 tff(10354,plain,
% 49.77/32.43 ($false),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[5621, 10353, 10339, 5499, 5494])).
% 49.77/32.43 tff(10355,plain,((~node30(c_m, s2)) | (~m_processor_v_master(c_p0, s2)) | (~m_processor_v_state(c_p0, s2, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 49.77/32.43 tff(10356,plain,
% 49.77/32.43 (~node30(c_m, s2)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10355, 10313, 10312])).
% 49.77/32.43 tff(10357,assumption,(m_memory_v_REPLY_h_OWNED(c_m, s2)), introduced(assumption)).
% 49.77/32.43 tff(10358,assumption,(node18(c_m, s2, s3)), introduced(assumption)).
% 49.77/32.43 tff(10359,plain,
% 49.77/32.43 ($false),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10284, 10278, 9858, 10358, 9969])).
% 49.77/32.43 tff(10360,plain,((~node18(c_m, s2, s3)) | (~m_memory_v_busy(c_m, s3)) | m_memory_v_busy(c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.43 tff(10361,plain,
% 49.77/32.43 (~node18(c_m, s2, s3)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10360, 9969, 9858])).
% 49.77/32.43 tff(10362,assumption,(~node19(c_m, s2)), introduced(assumption)).
% 49.77/32.43 tff(10363,assumption,(~node21(c_m, s2)), introduced(assumption)).
% 49.77/32.43 tff(10364,assumption,(node22(c_m, s2, s3)), introduced(assumption)).
% 49.77/32.43 tff(10365,plain,
% 49.77/32.43 (^[Y: $i, I0: $i, X: $i] : refl((m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y))) <=> (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y))))),
% 49.77/32.43 inference(bind,[status(th)],[])).
% 49.77/32.43 tff(10366,plain,
% 49.77/32.43 (![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))),
% 49.77/32.43 inference(quant_intro,[status(thm)],[10365])).
% 49.77/32.43 tff(10367,plain,
% 49.77/32.43 (![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))),
% 49.77/32.43 inference(rewrite,[status(thm)],[])).
% 49.77/32.43 tff(10368,plain,
% 49.77/32.43 (^[Y: $i, I0: $i, X: $i] : rewrite((((~m_memory_v_busy(I0, Y)) | m_memory_v_busy(I0, X)) | (~node22(I0, X, Y))) <=> (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y))))),
% 49.77/32.43 inference(bind,[status(th)],[])).
% 49.77/32.43 tff(10369,plain,
% 49.77/32.43 (![Y: $i, I0: $i, X: $i] : (((~m_memory_v_busy(I0, Y)) | m_memory_v_busy(I0, X)) | (~node22(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))),
% 49.77/32.43 inference(quant_intro,[status(thm)],[10368])).
% 49.77/32.43 tff(10370,axiom,(![Y: $i, I0: $i, X: $i] : (((~m_memory_v_busy(I0, Y)) | m_memory_v_busy(I0, X)) | (~node22(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_48')).
% 49.77/32.43 tff(10371,plain,
% 49.77/32.43 (![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))),
% 49.77/32.43 inference(modus_ponens,[status(thm)],[10370, 10369])).
% 49.77/32.43 tff(10372,plain,
% 49.77/32.43 (![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))),
% 49.77/32.43 inference(modus_ponens,[status(thm)],[10371, 10367])).
% 49.77/32.43 tff(10373,plain,(
% 49.77/32.43 ![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))),
% 49.77/32.43 inference(skolemize,[status(sab)],[10372])).
% 49.77/32.43 tff(10374,plain,
% 49.77/32.43 (![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))),
% 49.77/32.43 inference(modus_ponens,[status(thm)],[10373, 10366])).
% 49.77/32.43 tff(10375,plain,
% 49.77/32.43 (((~![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))) | (m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s3)) | (~node22(c_m, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))) | m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s3)) | (~node22(c_m, s2, s3)))),
% 49.77/32.43 inference(rewrite,[status(thm)],[])).
% 49.77/32.43 tff(10376,plain,
% 49.77/32.43 ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))) | (m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s3)) | (~node22(c_m, s2, s3)))),
% 49.77/32.43 inference(quant_inst,[status(thm)],[])).
% 49.77/32.43 tff(10377,plain,
% 49.77/32.43 ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))) | m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s3)) | (~node22(c_m, s2, s3))),
% 49.77/32.43 inference(modus_ponens,[status(thm)],[10376, 10375])).
% 49.77/32.43 tff(10378,plain,
% 49.77/32.43 ($false),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10377, 10374, 9858, 10364, 9969])).
% 49.77/32.43 tff(10379,plain,((~node22(c_m, s2, s3)) | (~m_memory_v_busy(c_m, s3)) | m_memory_v_busy(c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.43 tff(10380,plain,
% 49.77/32.43 (~node22(c_m, s2, s3)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10379, 9969, 9858])).
% 49.77/32.43 tff(10381,plain,
% 49.77/32.43 (((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (node19(c_m, s2) | node22(c_m, s2, s3) | node21(c_m, s2) | (~node23(c_m, s2, s3)) | m_memory_v_abort(c_m, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | node19(c_m, s2) | node22(c_m, s2, s3) | node21(c_m, s2) | (~node23(c_m, s2, s3)) | m_memory_v_abort(c_m, s2))),
% 49.77/32.43 inference(rewrite,[status(thm)],[])).
% 49.77/32.43 tff(10382,plain,
% 49.77/32.43 ((node19(c_m, s2) | node21(c_m, s2) | node22(c_m, s2, s3) | (~node23(c_m, s2, s3)) | m_memory_v_abort(c_m, s2)) <=> (node19(c_m, s2) | node22(c_m, s2, s3) | node21(c_m, s2) | (~node23(c_m, s2, s3)) | m_memory_v_abort(c_m, s2))),
% 49.77/32.43 inference(rewrite,[status(thm)],[])).
% 49.77/32.43 tff(10383,plain,
% 49.77/32.43 (((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (node19(c_m, s2) | node21(c_m, s2) | node22(c_m, s2, s3) | (~node23(c_m, s2, s3)) | m_memory_v_abort(c_m, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (node19(c_m, s2) | node22(c_m, s2, s3) | node21(c_m, s2) | (~node23(c_m, s2, s3)) | m_memory_v_abort(c_m, s2)))),
% 49.77/32.43 inference(monotonicity,[status(thm)],[10382])).
% 49.77/32.43 tff(10384,plain,
% 49.77/32.43 (((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (node19(c_m, s2) | node21(c_m, s2) | node22(c_m, s2, s3) | (~node23(c_m, s2, s3)) | m_memory_v_abort(c_m, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | node19(c_m, s2) | node22(c_m, s2, s3) | node21(c_m, s2) | (~node23(c_m, s2, s3)) | m_memory_v_abort(c_m, s2))),
% 49.77/32.43 inference(transitivity,[status(thm)],[10383, 10381])).
% 49.77/32.43 tff(10385,plain,
% 49.77/32.43 ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (node19(c_m, s2) | node21(c_m, s2) | node22(c_m, s2, s3) | (~node23(c_m, s2, s3)) | m_memory_v_abort(c_m, s2))),
% 49.77/32.43 inference(quant_inst,[status(thm)],[])).
% 49.77/32.43 tff(10386,plain,
% 49.77/32.43 ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | node19(c_m, s2) | node22(c_m, s2, s3) | node21(c_m, s2) | (~node23(c_m, s2, s3)) | m_memory_v_abort(c_m, s2)),
% 49.77/32.43 inference(modus_ponens,[status(thm)],[10385, 10384])).
% 49.77/32.43 tff(10387,plain,
% 49.77/32.43 (node19(c_m, s2) | node22(c_m, s2, s3) | node21(c_m, s2) | m_memory_v_abort(c_m, s2)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10386, 7365, 10051])).
% 49.77/32.43 tff(10388,plain,
% 49.77/32.43 (m_memory_v_abort(c_m, s2)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10387, 10380, 10362, 10363])).
% 49.77/32.43 tff(10389,plain,
% 49.77/32.43 (node18(c_m, s2, s3)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10249, 10388])).
% 49.77/32.43 tff(10390,plain,
% 49.77/32.43 ($false),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10284, 10278, 9858, 10389, 9969])).
% 49.77/32.43 tff(10391,plain,(m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s3)) | node19(c_m, s2) | node21(c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.43 tff(10392,plain,
% 49.77/32.43 (node21(c_m, s2)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10391, 9858, 10362, 9969])).
% 49.77/32.43 tff(10393,plain,
% 49.77/32.43 (~node18(c_m, s2, s3)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10360, 9858, 9969])).
% 49.77/32.43 tff(10394,plain,
% 49.77/32.43 (~m_memory_v_abort(c_m, s2)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10249, 10393])).
% 49.77/32.43 tff(10395,plain,
% 49.77/32.43 (node26(c_m, s2)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10241, 10394])).
% 49.77/32.43 tff(10396,assumption,(node26(c_m, s2)), introduced(assumption)).
% 49.77/32.43 tff(10397,plain,
% 49.77/32.43 ($false),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10233, 10227, 10396, 10217, 10357])).
% 49.77/32.43 tff(10398,plain,((~m_memory_v_REPLY_h_OWNED(c_m, s2)) | (~node26(c_m, s2)) | node25(c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.43 tff(10399,plain,
% 49.77/32.43 (node25(c_m, s2)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10398, 10395, 10357])).
% 49.77/32.43 tff(10400,plain,
% 49.77/32.43 (~m_memory_v_CMD(c_m, s2, c_read_h_owned)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[9964, 10399])).
% 49.77/32.43 tff(10401,plain,
% 49.77/32.43 (^[I0: $i, X: $i] : refl(((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X))) <=> ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X))))),
% 49.77/32.43 inference(bind,[status(th)],[])).
% 49.77/32.43 tff(10402,plain,
% 49.77/32.43 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X))) <=> ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))),
% 49.77/32.43 inference(quant_intro,[status(thm)],[10401])).
% 49.77/32.43 tff(10403,plain,
% 49.77/32.43 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X))) <=> ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))),
% 49.77/32.43 inference(rewrite,[status(thm)],[])).
% 49.77/32.43 tff(10404,axiom,(![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_58')).
% 49.77/32.43 tff(10405,plain,
% 49.77/32.43 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))),
% 49.77/32.43 inference(modus_ponens,[status(thm)],[10404, 10403])).
% 49.77/32.43 tff(10406,plain,(
% 49.77/32.43 ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))),
% 49.77/32.43 inference(skolemize,[status(sab)],[10405])).
% 49.77/32.43 tff(10407,plain,
% 49.77/32.43 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))),
% 49.77/32.43 inference(modus_ponens,[status(thm)],[10406, 10402])).
% 49.77/32.43 tff(10408,plain,
% 49.77/32.43 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))) | ((~m_memory_v_CMD(c_m, s2, c_read_h_shared)) | (~node25(c_m, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))) | (~m_memory_v_CMD(c_m, s2, c_read_h_shared)) | (~node25(c_m, s2)))),
% 49.77/32.43 inference(rewrite,[status(thm)],[])).
% 49.77/32.43 tff(10409,plain,
% 49.77/32.43 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))) | ((~m_memory_v_CMD(c_m, s2, c_read_h_shared)) | (~node25(c_m, s2)))),
% 49.77/32.43 inference(quant_inst,[status(thm)],[])).
% 49.77/32.43 tff(10410,plain,
% 49.77/32.43 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))) | (~m_memory_v_CMD(c_m, s2, c_read_h_shared)) | (~node25(c_m, s2))),
% 49.77/32.43 inference(modus_ponens,[status(thm)],[10409, 10408])).
% 49.77/32.43 tff(10411,plain,
% 49.77/32.43 ($false),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10410, 10407, 10340, 9952])).
% 49.77/32.43 tff(10412,plain,((~node25(c_m, s2)) | (~m_memory_v_CMD(c_m, s2, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 49.77/32.43 tff(10413,plain,
% 49.77/32.43 (~m_memory_v_CMD(c_m, s2, c_read_h_shared)),
% 49.77/32.43 inference(unit_resolution,[status(thm)],[10412, 10399])).
% 49.77/32.43 tff(10414,assumption,(node21(c_m, s2)), introduced(assumption)).
% 49.77/32.43 tff(10415,plain,
% 49.77/32.43 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | ((~node21(c_m, s2)) | m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | (~node21(c_m, s2)) | m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared))),
% 49.77/32.43 inference(rewrite,[status(thm)],[])).
% 49.77/32.43 tff(10416,plain,
% 49.77/32.43 ((m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared) | (~node21(c_m, s2))) <=> ((~node21(c_m, s2)) | m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared))),
% 49.77/32.43 inference(rewrite,[status(thm)],[])).
% 49.77/32.43 tff(10417,plain,
% 49.77/32.43 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | (m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared) | (~node21(c_m, s2)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | ((~node21(c_m, s2)) | m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared)))),
% 49.77/32.44 inference(monotonicity,[status(thm)],[10416])).
% 49.77/32.44 tff(10418,plain,
% 49.77/32.44 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | (m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared) | (~node21(c_m, s2)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | (~node21(c_m, s2)) | m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared))),
% 49.77/32.44 inference(transitivity,[status(thm)],[10417, 10415])).
% 49.77/32.44 tff(10419,plain,
% 49.77/32.44 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | (m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared) | (~node21(c_m, s2)))),
% 49.77/32.44 inference(quant_inst,[status(thm)],[])).
% 49.77/32.44 tff(10420,plain,
% 49.77/32.44 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | (~node21(c_m, s2)) | m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared)),
% 49.77/32.44 inference(modus_ponens,[status(thm)],[10419, 10418])).
% 49.77/32.44 tff(10421,plain,
% 49.77/32.44 ($false),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10420, 7430, 10347, 9890, 10414])).
% 49.77/32.44 tff(10422,plain,((~node21(c_m, s2)) | m_memory_v_CMD(c_m, s2, c_read_h_shared) | m_memory_v_CMD(c_m, s2, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.44 tff(10423,plain,
% 49.77/32.44 ($false),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10422, 10413, 10400, 10392])).
% 49.77/32.44 tff(10424,plain,((~m_memory_v_busy(c_m, s3)) | (~m_memory_v_REPLY_h_OWNED(c_m, s2)) | m_memory_v_busy(c_m, s2) | node19(c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.44 tff(10425,plain,
% 49.77/32.44 (node19(c_m, s2)),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10424, 9969, 9858, 10357])).
% 49.77/32.44 tff(10426,plain,
% 49.77/32.44 (m_memory_v_master(c_m, s2)),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10030, 10025])).
% 49.77/32.44 tff(10427,plain,
% 49.77/32.44 (^[Y: $i, I0: $i, X: $i] : refl(((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response))) <=> ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response))))),
% 49.77/32.44 inference(bind,[status(th)],[])).
% 49.77/32.44 tff(10428,plain,
% 49.77/32.44 (![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response))) <=> ![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))),
% 49.77/32.44 inference(quant_intro,[status(thm)],[10427])).
% 49.77/32.44 tff(10429,plain,
% 49.77/32.44 (![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response))) <=> ![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))),
% 49.77/32.44 inference(rewrite,[status(thm)],[])).
% 49.77/32.44 tff(10430,plain,
% 49.77/32.44 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((m_memory_v_abort(I0, X) | (~m_memory_v_master(I0, X))) <=> ((~m_memory_v_master(I0, X)) | m_memory_v_abort(I0, X))), (((m_memory_v_abort(I0, X) | (~m_memory_v_master(I0, X))) | (~m_memory_v_CMD(I0, X, c_response))) <=> (((~m_memory_v_master(I0, X)) | m_memory_v_abort(I0, X)) | (~m_memory_v_CMD(I0, X, c_response))))), rewrite((((~m_memory_v_master(I0, X)) | m_memory_v_abort(I0, X)) | (~m_memory_v_CMD(I0, X, c_response))) <=> ((~m_memory_v_master(I0, X)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))), (((m_memory_v_abort(I0, X) | (~m_memory_v_master(I0, X))) | (~m_memory_v_CMD(I0, X, c_response))) <=> ((~m_memory_v_master(I0, X)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response))))), ((((m_memory_v_abort(I0, X) | (~m_memory_v_master(I0, X))) | (~m_memory_v_CMD(I0, X, c_response))) | (~m_memory_v_busy(I0, Y))) <=> (((~m_memory_v_master(I0, X)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response))) | (~m_memory_v_busy(I0, Y))))), rewrite((((~m_memory_v_master(I0, X)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response))) | (~m_memory_v_busy(I0, Y))) <=> ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))), ((((m_memory_v_abort(I0, X) | (~m_memory_v_master(I0, X))) | (~m_memory_v_CMD(I0, X, c_response))) | (~m_memory_v_busy(I0, Y))) <=> ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response))))), (((((m_memory_v_abort(I0, X) | (~m_memory_v_master(I0, X))) | (~m_memory_v_CMD(I0, X, c_response))) | (~m_memory_v_busy(I0, Y))) | (~node23(I0, X, Y))) <=> (((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response))) | (~node23(I0, X, Y))))), rewrite((((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response))) | (~node23(I0, X, Y))) <=> ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))), (((((m_memory_v_abort(I0, X) | (~m_memory_v_master(I0, X))) | (~m_memory_v_CMD(I0, X, c_response))) | (~m_memory_v_busy(I0, Y))) | (~node23(I0, X, Y))) <=> ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))))),
% 49.77/32.44 inference(bind,[status(th)],[])).
% 49.77/32.44 tff(10431,plain,
% 49.77/32.44 (![Y: $i, I0: $i, X: $i] : ((((m_memory_v_abort(I0, X) | (~m_memory_v_master(I0, X))) | (~m_memory_v_CMD(I0, X, c_response))) | (~m_memory_v_busy(I0, Y))) | (~node23(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))),
% 49.77/32.44 inference(quant_intro,[status(thm)],[10430])).
% 49.77/32.44 tff(10432,axiom,(![Y: $i, I0: $i, X: $i] : ((((m_memory_v_abort(I0, X) | (~m_memory_v_master(I0, X))) | (~m_memory_v_CMD(I0, X, c_response))) | (~m_memory_v_busy(I0, Y))) | (~node23(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_50')).
% 49.77/32.44 tff(10433,plain,
% 49.77/32.44 (![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))),
% 49.77/32.44 inference(modus_ponens,[status(thm)],[10432, 10431])).
% 49.77/32.44 tff(10434,plain,
% 49.77/32.44 (![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))),
% 49.77/32.44 inference(modus_ponens,[status(thm)],[10433, 10429])).
% 49.77/32.44 tff(10435,plain,(
% 49.77/32.44 ![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))),
% 49.77/32.44 inference(skolemize,[status(sab)],[10434])).
% 49.77/32.44 tff(10436,plain,
% 49.77/32.44 (![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))),
% 49.77/32.44 inference(modus_ponens,[status(thm)],[10435, 10428])).
% 49.77/32.44 tff(10437,plain,
% 49.77/32.44 (((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~m_memory_v_master(c_m, s2)) | (~node23(c_m, s2, s3)) | (~m_memory_v_CMD(c_m, s2, c_response)) | (~m_memory_v_busy(c_m, s3)) | m_memory_v_abort(c_m, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | (~m_memory_v_master(c_m, s2)) | (~node23(c_m, s2, s3)) | (~m_memory_v_CMD(c_m, s2, c_response)) | (~m_memory_v_busy(c_m, s3)) | m_memory_v_abort(c_m, s2))),
% 49.77/32.44 inference(rewrite,[status(thm)],[])).
% 49.77/32.44 tff(10438,plain,
% 49.77/32.44 (((~m_memory_v_busy(c_m, s3)) | (~m_memory_v_master(c_m, s2)) | (~node23(c_m, s2, s3)) | m_memory_v_abort(c_m, s2) | (~m_memory_v_CMD(c_m, s2, c_response))) <=> ((~m_memory_v_master(c_m, s2)) | (~node23(c_m, s2, s3)) | (~m_memory_v_CMD(c_m, s2, c_response)) | (~m_memory_v_busy(c_m, s3)) | m_memory_v_abort(c_m, s2))),
% 49.77/32.44 inference(rewrite,[status(thm)],[])).
% 49.77/32.44 tff(10439,plain,
% 49.77/32.44 (((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~m_memory_v_busy(c_m, s3)) | (~m_memory_v_master(c_m, s2)) | (~node23(c_m, s2, s3)) | m_memory_v_abort(c_m, s2) | (~m_memory_v_CMD(c_m, s2, c_response)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~m_memory_v_master(c_m, s2)) | (~node23(c_m, s2, s3)) | (~m_memory_v_CMD(c_m, s2, c_response)) | (~m_memory_v_busy(c_m, s3)) | m_memory_v_abort(c_m, s2)))),
% 49.77/32.44 inference(monotonicity,[status(thm)],[10438])).
% 49.77/32.44 tff(10440,plain,
% 49.77/32.44 (((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~m_memory_v_busy(c_m, s3)) | (~m_memory_v_master(c_m, s2)) | (~node23(c_m, s2, s3)) | m_memory_v_abort(c_m, s2) | (~m_memory_v_CMD(c_m, s2, c_response)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | (~m_memory_v_master(c_m, s2)) | (~node23(c_m, s2, s3)) | (~m_memory_v_CMD(c_m, s2, c_response)) | (~m_memory_v_busy(c_m, s3)) | m_memory_v_abort(c_m, s2))),
% 49.77/32.44 inference(transitivity,[status(thm)],[10439, 10437])).
% 49.77/32.44 tff(10441,plain,
% 49.77/32.44 ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~m_memory_v_busy(c_m, s3)) | (~m_memory_v_master(c_m, s2)) | (~node23(c_m, s2, s3)) | m_memory_v_abort(c_m, s2) | (~m_memory_v_CMD(c_m, s2, c_response)))),
% 49.77/32.44 inference(quant_inst,[status(thm)],[])).
% 49.77/32.44 tff(10442,plain,
% 49.77/32.44 ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | (~m_memory_v_master(c_m, s2)) | (~node23(c_m, s2, s3)) | (~m_memory_v_CMD(c_m, s2, c_response)) | (~m_memory_v_busy(c_m, s3)) | m_memory_v_abort(c_m, s2)),
% 49.77/32.44 inference(modus_ponens,[status(thm)],[10441, 10440])).
% 49.77/32.44 tff(10443,plain,
% 49.77/32.44 ((~m_memory_v_master(c_m, s2)) | (~m_memory_v_CMD(c_m, s2, c_response)) | (~m_memory_v_busy(c_m, s3)) | m_memory_v_abort(c_m, s2)),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10442, 10436, 10051])).
% 49.77/32.44 tff(10444,plain,
% 49.77/32.44 (~m_memory_v_CMD(c_m, s2, c_response)),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10443, 10426, 9858, 10235])).
% 49.77/32.44 tff(10445,plain,
% 49.77/32.44 (((~![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))) | ((~node19(c_m, s2)) | m_memory_v_CMD(c_m, s2, c_response))) <=> ((~![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))) | (~node19(c_m, s2)) | m_memory_v_CMD(c_m, s2, c_response))),
% 49.77/32.44 inference(rewrite,[status(thm)],[])).
% 49.77/32.44 tff(10446,plain,
% 49.77/32.44 ((~![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))) | ((~node19(c_m, s2)) | m_memory_v_CMD(c_m, s2, c_response))),
% 49.77/32.44 inference(quant_inst,[status(thm)],[])).
% 49.77/32.44 tff(10447,plain,
% 49.77/32.44 ((~![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))) | (~node19(c_m, s2)) | m_memory_v_CMD(c_m, s2, c_response)),
% 49.77/32.44 inference(modus_ponens,[status(thm)],[10446, 10445])).
% 49.77/32.44 tff(10448,plain,
% 49.77/32.44 ($false),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10447, 10075, 10025, 10444])).
% 49.77/32.44 tff(10449,plain,((~node19(c_m, s2)) | (~m_memory_v_busy(c_m, s3)) | m_memory_v_abort(c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.44 tff(10450,plain,
% 49.77/32.44 (m_memory_v_abort(c_m, s2)),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10449, 10425, 9858])).
% 49.77/32.44 tff(10451,plain,
% 49.77/32.44 ($false),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10249, 10450, 10361])).
% 49.77/32.44 tff(10452,plain,(m_memory_v_busy(c_m, s2) | (~m_memory_v_busy(c_m, s3)) | (~m_memory_v_REPLY_h_OWNED(c_m, s2))), inference(lemma,lemma(discharge,[]))).
% 49.77/32.44 tff(10453,plain,
% 49.77/32.44 (m_memory_v_busy(c_m, s2)),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10452, 9858, 10357])).
% 49.77/32.44 tff(10454,plain,
% 49.77/32.44 (m_memory_v_reply_h_stall(c_m, s2)),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[9933, 10453, 9927])).
% 49.77/32.44 tff(10455,plain,
% 49.77/32.44 (~node7(s2)),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[9924, 10454])).
% 49.77/32.44 tff(10456,plain,
% 49.77/32.44 (m_main_v_REPLY_h_STALL(s2)),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[9916, 10455])).
% 49.77/32.44 tff(10457,plain,
% 49.77/32.44 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | ((~m_main_v_REPLY_h_STALL(s2)) | m_processor_v_REPLY_h_STALL(c_p0, s2))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | (~m_main_v_REPLY_h_STALL(s2)) | m_processor_v_REPLY_h_STALL(c_p0, s2))),
% 49.77/32.44 inference(rewrite,[status(thm)],[])).
% 49.77/32.44 tff(10458,plain,
% 49.77/32.44 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | ((~m_main_v_REPLY_h_STALL(s2)) | m_processor_v_REPLY_h_STALL(c_p0, s2))),
% 49.77/32.44 inference(quant_inst,[status(thm)],[])).
% 49.77/32.44 tff(10459,plain,
% 49.77/32.44 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | (~m_main_v_REPLY_h_STALL(s2)) | m_processor_v_REPLY_h_STALL(c_p0, s2)),
% 49.77/32.44 inference(modus_ponens,[status(thm)],[10458, 10457])).
% 49.77/32.44 tff(10460,plain,
% 49.77/32.44 ($false),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10459, 1381, 9304, 9359])).
% 49.77/32.44 tff(10461,plain,(m_processor_v_REPLY_h_STALL(c_p0, s2) | (~m_main_v_REPLY_h_STALL(s2))), inference(lemma,lemma(discharge,[]))).
% 49.77/32.44 tff(10462,plain,
% 49.77/32.44 (m_processor_v_REPLY_h_STALL(c_p0, s2)),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10461, 10456])).
% 49.77/32.44 tff(10463,assumption,(node60(c_p0, s2)), introduced(assumption)).
% 49.77/32.44 tff(10464,plain,
% 49.77/32.44 (((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p0, s2)) | (~node60(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p0, s2)) | (~node60(c_p0, s2)))),
% 49.77/32.44 inference(rewrite,[status(thm)],[])).
% 49.77/32.44 tff(10465,plain,
% 49.77/32.44 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p0, s2)) | (~node60(c_p0, s2)))),
% 49.77/32.44 inference(quant_inst,[status(thm)],[])).
% 49.77/32.44 tff(10466,plain,
% 49.77/32.44 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p0, s2)) | (~node60(c_p0, s2))),
% 49.77/32.44 inference(modus_ponens,[status(thm)],[10465, 10464])).
% 49.77/32.44 tff(10467,plain,
% 49.77/32.44 ($false),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10466, 1363, 9312, 10463])).
% 49.77/32.44 tff(10468,plain,((~node60(c_p0, s2)) | (~m_processor_v_REPLY_h_STALL(c_p0, s2))), inference(lemma,lemma(discharge,[]))).
% 49.77/32.44 tff(10469,plain,
% 49.77/32.44 (~node60(c_p0, s2)),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10468, 10462])).
% 49.77/32.44 tff(10470,assumption,(~node60(c_p0, s2)), introduced(assumption)).
% 49.77/32.44 tff(10471,plain,
% 49.77/32.44 (((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p0, s2) | node60(c_p0, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p0, s2) | node60(c_p0, s2))),
% 49.77/32.44 inference(rewrite,[status(thm)],[])).
% 49.77/32.44 tff(10472,plain,
% 49.77/32.44 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p0, s2) | node60(c_p0, s2))),
% 49.77/32.44 inference(quant_inst,[status(thm)],[])).
% 49.77/32.44 tff(10473,plain,
% 49.77/32.44 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p0, s2) | node60(c_p0, s2)),
% 49.77/32.44 inference(modus_ponens,[status(thm)],[10472, 10471])).
% 49.77/32.44 tff(10474,plain,
% 49.77/32.44 ($false),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10473, 693, 5500, 10470])).
% 49.77/32.44 tff(10475,plain,(m_processor_v_abort(c_p0, s2) | node60(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.44 tff(10476,plain,
% 49.77/32.44 (m_processor_v_abort(c_p0, s2)),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10475, 10469])).
% 49.77/32.44 tff(10477,plain,
% 49.77/32.44 (node32(c_p0, s2, s3)),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[2704, 10476])).
% 49.77/32.44 tff(10478,plain,
% 49.77/32.44 (m_processor_v_state(c_p0, s3, c_invalid)),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[5496, 10477, 5494])).
% 49.77/32.44 tff(10479,plain,
% 49.77/32.44 (~node32(c_p0, s3, s4)),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[9389, 10478, 1095])).
% 49.77/32.44 tff(10480,plain,
% 49.77/32.44 (~m_processor_v_abort(c_p0, s3)),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[9403, 10479])).
% 49.77/32.44 tff(10481,assumption,(~node60(c_p0, s3)), introduced(assumption)).
% 49.77/32.44 tff(10482,plain,
% 49.77/32.44 (((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p0, s3) | node60(c_p0, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p0, s3) | node60(c_p0, s3))),
% 49.77/32.44 inference(rewrite,[status(thm)],[])).
% 49.77/32.44 tff(10483,plain,
% 49.77/32.44 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p0, s3) | node60(c_p0, s3))),
% 49.77/32.44 inference(quant_inst,[status(thm)],[])).
% 49.77/32.44 tff(10484,plain,
% 49.77/32.44 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p0, s3) | node60(c_p0, s3)),
% 49.77/32.44 inference(modus_ponens,[status(thm)],[10483, 10482])).
% 49.77/32.44 tff(10485,plain,
% 49.77/32.44 ($false),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10484, 693, 9678, 10481])).
% 49.77/32.44 tff(10486,plain,(m_processor_v_abort(c_p0, s3) | node60(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.44 tff(10487,plain,
% 49.77/32.44 (node60(c_p0, s3)),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10486, 10480])).
% 49.77/32.44 tff(10488,assumption,(node60(c_p0, s3)), introduced(assumption)).
% 49.77/32.44 tff(10489,assumption,(m_processor_v_REPLY_h_STALL(c_p0, s3)), introduced(assumption)).
% 49.77/32.44 tff(10490,plain,
% 49.77/32.44 (((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p0, s3)) | (~node60(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p0, s3)) | (~node60(c_p0, s3)))),
% 49.77/32.44 inference(rewrite,[status(thm)],[])).
% 49.77/32.44 tff(10491,plain,
% 49.77/32.44 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p0, s3)) | (~node60(c_p0, s3)))),
% 49.77/32.44 inference(quant_inst,[status(thm)],[])).
% 49.77/32.44 tff(10492,plain,
% 49.77/32.44 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p0, s3)) | (~node60(c_p0, s3))),
% 49.77/32.44 inference(modus_ponens,[status(thm)],[10491, 10490])).
% 49.77/32.44 tff(10493,plain,
% 49.77/32.44 ($false),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10492, 1363, 10489, 10488])).
% 49.77/32.44 tff(10494,plain,((~node60(c_p0, s3)) | (~m_processor_v_REPLY_h_STALL(c_p0, s3))), inference(lemma,lemma(discharge,[]))).
% 49.77/32.44 tff(10495,plain,
% 49.77/32.44 (~m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10494, 10487])).
% 49.77/32.44 tff(10496,assumption,(~m_processor_v_REPLY_h_STALL(c_p0, s3)), introduced(assumption)).
% 49.77/32.44 tff(10497,assumption,(m_main_v_REPLY_h_STALL(s3)), introduced(assumption)).
% 49.77/32.44 tff(10498,plain,
% 49.77/32.44 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | ((~m_main_v_REPLY_h_STALL(s3)) | m_processor_v_REPLY_h_STALL(c_p0, s3))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | (~m_main_v_REPLY_h_STALL(s3)) | m_processor_v_REPLY_h_STALL(c_p0, s3))),
% 49.77/32.44 inference(rewrite,[status(thm)],[])).
% 49.77/32.44 tff(10499,plain,
% 49.77/32.44 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | ((~m_main_v_REPLY_h_STALL(s3)) | m_processor_v_REPLY_h_STALL(c_p0, s3))),
% 49.77/32.44 inference(quant_inst,[status(thm)],[])).
% 49.77/32.44 tff(10500,plain,
% 49.77/32.44 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | (~m_main_v_REPLY_h_STALL(s3)) | m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 49.77/32.44 inference(modus_ponens,[status(thm)],[10499, 10498])).
% 49.77/32.44 tff(10501,plain,
% 49.77/32.44 ($false),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10500, 1381, 10497, 10496])).
% 49.77/32.44 tff(10502,plain,(m_processor_v_REPLY_h_STALL(c_p0, s3) | (~m_main_v_REPLY_h_STALL(s3))), inference(lemma,lemma(discharge,[]))).
% 49.77/32.44 tff(10503,plain,
% 49.77/32.44 (~m_main_v_REPLY_h_STALL(s3)),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10502, 10495])).
% 49.77/32.44 tff(10504,assumption,(~node7(s3)), introduced(assumption)).
% 49.77/32.44 tff(10505,assumption,(~m_main_v_REPLY_h_STALL(s3)), introduced(assumption)).
% 49.77/32.44 tff(10506,plain,
% 49.77/32.44 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | (m_main_v_REPLY_h_STALL(s3) | node7(s3))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | m_main_v_REPLY_h_STALL(s3) | node7(s3))),
% 49.77/32.44 inference(rewrite,[status(thm)],[])).
% 49.77/32.44 tff(10507,plain,
% 49.77/32.44 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | (m_main_v_REPLY_h_STALL(s3) | node7(s3))),
% 49.77/32.44 inference(quant_inst,[status(thm)],[])).
% 49.77/32.44 tff(10508,plain,
% 49.77/32.44 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | m_main_v_REPLY_h_STALL(s3) | node7(s3)),
% 49.77/32.44 inference(modus_ponens,[status(thm)],[10507, 10506])).
% 49.77/32.44 tff(10509,plain,
% 49.77/32.44 ($false),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10508, 3905, 10505, 10504])).
% 49.77/32.44 tff(10510,plain,(node7(s3) | m_main_v_REPLY_h_STALL(s3)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.44 tff(10511,plain,
% 49.77/32.44 (node7(s3)),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10510, 10503])).
% 49.77/32.44 tff(10512,assumption,(m_memory_v_reply_h_stall(c_m, s3)), introduced(assumption)).
% 49.77/32.44 tff(10513,assumption,(node7(s3)), introduced(assumption)).
% 49.77/32.44 tff(10514,plain,
% 49.77/32.44 (((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | ((~node7(s3)) | (~m_memory_v_reply_h_stall(c_m, s3)))) <=> ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | (~node7(s3)) | (~m_memory_v_reply_h_stall(c_m, s3)))),
% 49.77/32.44 inference(rewrite,[status(thm)],[])).
% 49.77/32.44 tff(10515,plain,
% 49.77/32.44 ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | ((~node7(s3)) | (~m_memory_v_reply_h_stall(c_m, s3)))),
% 49.77/32.44 inference(quant_inst,[status(thm)],[])).
% 49.77/32.44 tff(10516,plain,
% 49.77/32.44 ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | (~node7(s3)) | (~m_memory_v_reply_h_stall(c_m, s3))),
% 49.77/32.44 inference(modus_ponens,[status(thm)],[10515, 10514])).
% 49.77/32.44 tff(10517,plain,
% 49.77/32.44 ($false),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10516, 3923, 10513, 10512])).
% 49.77/32.44 tff(10518,plain,((~m_memory_v_reply_h_stall(c_m, s3)) | (~node7(s3))), inference(lemma,lemma(discharge,[]))).
% 49.77/32.44 tff(10519,plain,
% 49.77/32.44 (~m_memory_v_reply_h_stall(c_m, s3)),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10518, 10511])).
% 49.77/32.44 tff(10520,assumption,(~node30(c_m, s3)), introduced(assumption)).
% 49.77/32.44 tff(10521,assumption,(~m_memory_v_reply_h_stall(c_m, s3)), introduced(assumption)).
% 49.77/32.44 tff(10522,plain,
% 49.77/32.44 (((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | ((~m_memory_v_busy(c_m, s3)) | node30(c_m, s3) | m_memory_v_reply_h_stall(c_m, s3))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | (~m_memory_v_busy(c_m, s3)) | node30(c_m, s3) | m_memory_v_reply_h_stall(c_m, s3))),
% 49.77/32.44 inference(rewrite,[status(thm)],[])).
% 49.77/32.44 tff(10523,plain,
% 49.77/32.44 ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | ((~m_memory_v_busy(c_m, s3)) | node30(c_m, s3) | m_memory_v_reply_h_stall(c_m, s3))),
% 49.77/32.44 inference(quant_inst,[status(thm)],[])).
% 49.77/32.44 tff(10524,plain,
% 49.77/32.44 ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | (~m_memory_v_busy(c_m, s3)) | node30(c_m, s3) | m_memory_v_reply_h_stall(c_m, s3)),
% 49.77/32.44 inference(modus_ponens,[status(thm)],[10523, 10522])).
% 49.77/32.44 tff(10525,plain,
% 49.77/32.44 ($false),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10524, 4819, 9858, 10521, 10520])).
% 49.77/32.44 tff(10526,plain,((~m_memory_v_busy(c_m, s3)) | m_memory_v_reply_h_stall(c_m, s3) | node30(c_m, s3)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.44 tff(10527,plain,
% 49.77/32.44 (node30(c_m, s3)),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10526, 10519, 9858])).
% 49.77/32.44 tff(10528,plain,
% 49.77/32.44 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node32(c_p0, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node32(c_p0, s2, s3)))),
% 49.77/32.44 inference(rewrite,[status(thm)],[])).
% 49.77/32.44 tff(10529,plain,
% 49.77/32.44 (((~node32(c_p0, s2, s3)) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned))) <=> (m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node32(c_p0, s2, s3)))),
% 49.77/32.44 inference(rewrite,[status(thm)],[])).
% 49.77/32.44 tff(10530,plain,
% 49.77/32.44 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p0, s2, s3)) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node32(c_p0, s2, s3))))),
% 49.77/32.44 inference(monotonicity,[status(thm)],[10529])).
% 49.77/32.44 tff(10531,plain,
% 49.77/32.44 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p0, s2, s3)) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node32(c_p0, s2, s3)))),
% 49.77/32.44 inference(transitivity,[status(thm)],[10530, 10528])).
% 49.77/32.44 tff(10532,plain,
% 49.77/32.44 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p0, s2, s3)) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)))),
% 49.77/32.44 inference(quant_inst,[status(thm)],[])).
% 49.77/32.44 tff(10533,plain,
% 49.77/32.44 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p0, s2, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node32(c_p0, s2, s3))),
% 49.77/32.44 inference(modus_ponens,[status(thm)],[10532, 10531])).
% 49.77/32.44 tff(10534,plain,
% 49.77/32.44 (~m_processor_v_state(c_p0, s3, c_owned)),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10533, 261, 9376, 10477])).
% 49.77/32.44 tff(10535,plain,
% 49.77/32.44 (node34(c_p0, s3, s4)),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[9737, 10534, 1096, 1095])).
% 49.77/32.44 tff(10536,plain,
% 49.77/32.44 (~node33(c_p0, s3, s4)),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[9838, 399, 10478, 1095])).
% 49.77/32.44 tff(10537,plain,
% 49.77/32.44 (m_processor_v_CMD(c_p0, s3, c_read_h_owned)),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[9792, 10536, 1095, 1096, 10535])).
% 49.77/32.44 tff(10538,assumption,(m_processor_v_CMD(c_p0, s3, c_read_h_owned)), introduced(assumption)).
% 49.77/32.44 tff(10539,plain,
% 49.77/32.44 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | ((~node2(s3)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (~node2(s3)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)))),
% 49.77/32.44 inference(rewrite,[status(thm)],[])).
% 49.77/32.44 tff(10540,plain,
% 49.77/32.44 ((m_main_v_CMD(s3, c_read_h_owned) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned))) <=> ((~node2(s3)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)))),
% 49.77/32.44 inference(rewrite,[status(thm)],[])).
% 49.77/32.44 tff(10541,plain,
% 49.77/32.44 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s3, c_read_h_owned) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | ((~node2(s3)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned))))),
% 49.77/32.44 inference(monotonicity,[status(thm)],[10540])).
% 49.77/32.44 tff(10542,plain,
% 49.77/32.44 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s3, c_read_h_owned) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (~node2(s3)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)))),
% 49.77/32.44 inference(transitivity,[status(thm)],[10541, 10539])).
% 49.77/32.44 tff(10543,plain,
% 49.77/32.44 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s3, c_read_h_owned) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)))),
% 49.77/32.44 inference(quant_inst,[status(thm)],[])).
% 49.77/32.44 tff(10544,plain,
% 49.77/32.44 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (~node2(s3)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned))),
% 49.77/32.44 inference(modus_ponens,[status(thm)],[10543, 10542])).
% 49.77/32.44 tff(10545,plain,
% 49.77/32.44 ($false),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10544, 1612, 10538, 9614, 9538])).
% 49.77/32.44 tff(10546,plain,((~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | m_main_v_CMD(s3, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.44 tff(10547,plain,
% 49.77/32.44 (m_main_v_CMD(s3, c_read_h_owned)),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10546, 10537])).
% 49.77/32.44 tff(10548,plain,
% 49.77/32.44 (((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s3)) | (~m_main_v_CMD(s3, c_read_h_owned)) | m_memory_v_CMD(c_m, s3, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s3)) | (~m_main_v_CMD(s3, c_read_h_owned)) | m_memory_v_CMD(c_m, s3, c_read_h_owned))),
% 49.77/32.44 inference(rewrite,[status(thm)],[])).
% 49.77/32.44 tff(10549,plain,
% 49.77/32.44 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s3)) | (~m_main_v_CMD(s3, c_read_h_owned)) | m_memory_v_CMD(c_m, s3, c_read_h_owned))),
% 49.77/32.44 inference(quant_inst,[status(thm)],[])).
% 49.77/32.44 tff(10550,plain,
% 49.77/32.44 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s3)) | (~m_main_v_CMD(s3, c_read_h_owned)) | m_memory_v_CMD(c_m, s3, c_read_h_owned)),
% 49.77/32.44 inference(modus_ponens,[status(thm)],[10549, 10548])).
% 49.77/32.44 tff(10551,plain,
% 49.77/32.44 (m_memory_v_CMD(c_m, s3, c_read_h_owned)),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10550, 4207, 10547, 10083])).
% 49.77/32.44 tff(10552,plain,
% 49.77/32.44 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s3, c_read_h_owned)) | (~node30(c_m, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | (~m_memory_v_CMD(c_m, s3, c_read_h_owned)) | (~node30(c_m, s3)))),
% 49.77/32.44 inference(rewrite,[status(thm)],[])).
% 49.77/32.44 tff(10553,plain,
% 49.77/32.44 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s3, c_read_h_owned)) | (~node30(c_m, s3)))),
% 49.77/32.44 inference(quant_inst,[status(thm)],[])).
% 49.77/32.44 tff(10554,plain,
% 49.77/32.44 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | (~m_memory_v_CMD(c_m, s3, c_read_h_owned)) | (~node30(c_m, s3))),
% 49.77/32.44 inference(modus_ponens,[status(thm)],[10553, 10552])).
% 49.77/32.44 tff(10555,plain,
% 49.77/32.44 ($false),
% 49.77/32.44 inference(unit_resolution,[status(thm)],[10554, 5042, 10551, 10527])).
% 49.77/32.45 tff(10556,plain,((~m_memory_v_busy(c_m, s3)) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_state(c_p0, s4, c_shared) | (~m_processor_v_state(c_p0, s2, c_invalid)) | node30(c_m, s2) | (~m_memory_v_REPLY_h_OWNED(c_m, s2))), inference(lemma,lemma(discharge,[]))).
% 49.77/32.45 tff(10557,plain,
% 49.77/32.45 (~m_memory_v_REPLY_h_OWNED(c_m, s2)),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[10556, 10356, 6889, 6880, 9856, 10312])).
% 49.77/32.45 tff(10558,assumption,(m_main_v_REPLY_h_OWNED(s2)), introduced(assumption)).
% 49.77/32.45 tff(10559,plain,
% 49.77/32.45 ($false),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[10213, 10210, 10032, 10558])).
% 49.77/32.45 tff(10560,plain,((~m_main_v_REPLY_h_OWNED(s2)) | m_memory_v_REPLY_h_OWNED(c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.45 tff(10561,plain,
% 49.77/32.45 (~m_main_v_REPLY_h_OWNED(s2)),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[10560, 10557])).
% 49.77/32.45 tff(10562,plain,
% 49.77/32.45 ($false),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[10199, 10196, 10561, 10337])).
% 49.77/32.45 tff(10563,plain,((~node29(c_m, s3)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_memory_v_busy(c_m, s4)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.45 tff(10564,plain,
% 49.77/32.45 (~node29(c_m, s3)),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[10563, 2065, 2595, 1752])).
% 49.77/32.45 tff(10565,plain,
% 49.77/32.45 (m_memory_v_cmd(c_m, s3, c_idle)),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[9510, 10564])).
% 49.77/32.45 tff(10566,plain,
% 49.77/32.45 (m_processor_v_master(c_p1, s3)),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[9478, 9446])).
% 49.77/32.45 tff(10567,plain,
% 49.77/32.45 (((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | ((~node16(s3)) | (~m_processor_v_master(c_p1, s3)))) <=> ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | (~node16(s3)) | (~m_processor_v_master(c_p1, s3)))),
% 49.77/32.45 inference(rewrite,[status(thm)],[])).
% 49.77/32.45 tff(10568,plain,
% 49.77/32.45 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | ((~node16(s3)) | (~m_processor_v_master(c_p1, s3)))),
% 49.77/32.45 inference(quant_inst,[status(thm)],[])).
% 49.77/32.45 tff(10569,plain,
% 49.77/32.45 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | (~node16(s3)) | (~m_processor_v_master(c_p1, s3))),
% 49.77/32.45 inference(modus_ponens,[status(thm)],[10568, 10567])).
% 49.77/32.45 tff(10570,plain,
% 49.77/32.45 (~node16(s3)),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[10569, 3386, 10566])).
% 49.77/32.45 tff(10571,plain,
% 49.77/32.45 (~m_processor_v_master(c_p2, s3)),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[9562, 10570])).
% 49.77/32.45 tff(10572,plain,
% 49.77/32.45 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[6800, 10566, 6710, 6709])).
% 49.77/32.45 tff(10573,assumption,(~m_processor_v_CMD(c_p1, s3, c_read_h_shared)), introduced(assumption)).
% 49.77/32.45 tff(10574,assumption,(~node3(s3)), introduced(assumption)).
% 49.77/32.45 tff(10575,plain,
% 49.77/32.45 ((~![X: $i] : node3(X)) | node3(s3)),
% 49.77/32.45 inference(quant_inst,[status(thm)],[])).
% 49.77/32.45 tff(10576,plain,
% 49.77/32.45 ($false),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[10575, 1247, 10574])).
% 49.77/32.45 tff(10577,plain,(node3(s3)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.45 tff(10578,plain,
% 49.77/32.45 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node3(s3)) | (~m_main_v_CMD(s3, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node3(s3)) | (~m_main_v_CMD(s3, c_read_h_shared)))),
% 49.77/32.45 inference(rewrite,[status(thm)],[])).
% 49.77/32.45 tff(10579,plain,
% 49.77/32.45 (((~m_main_v_CMD(s3, c_read_h_shared)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared)) <=> (m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node3(s3)) | (~m_main_v_CMD(s3, c_read_h_shared)))),
% 49.77/32.45 inference(rewrite,[status(thm)],[])).
% 49.77/32.45 tff(10580,plain,
% 49.77/32.45 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node3(s3)) | (~m_main_v_CMD(s3, c_read_h_shared))))),
% 49.77/32.45 inference(monotonicity,[status(thm)],[10579])).
% 49.77/32.45 tff(10581,plain,
% 49.77/32.45 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node3(s3)) | (~m_main_v_CMD(s3, c_read_h_shared)))),
% 49.77/32.45 inference(transitivity,[status(thm)],[10580, 10578])).
% 49.77/32.45 tff(10582,plain,
% 49.77/32.45 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared))),
% 49.77/32.45 inference(quant_inst,[status(thm)],[])).
% 49.77/32.45 tff(10583,plain,
% 49.77/32.45 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node3(s3)) | (~m_main_v_CMD(s3, c_read_h_shared))),
% 49.77/32.45 inference(modus_ponens,[status(thm)],[10582, 10581])).
% 49.77/32.45 tff(10584,plain,
% 49.77/32.45 ($false),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[10583, 1945, 10577, 10573, 9539])).
% 49.77/32.45 tff(10585,plain,((~m_main_v_CMD(s3, c_read_h_shared)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.45 tff(10586,plain,
% 49.77/32.45 (~m_main_v_CMD(s3, c_read_h_shared)),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[10585, 10572])).
% 49.77/32.45 tff(10587,assumption,(m_processor_v_CMD(c_p1, s3, c_read_h_shared)), introduced(assumption)).
% 49.77/32.45 tff(10588,plain,
% 49.77/32.45 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | ((~node3(s3)) | m_main_v_CMD(s3, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (~node3(s3)) | m_main_v_CMD(s3, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)))),
% 49.77/32.45 inference(rewrite,[status(thm)],[])).
% 49.77/32.45 tff(10589,plain,
% 49.77/32.45 ((m_main_v_CMD(s3, c_read_h_shared) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared))) <=> ((~node3(s3)) | m_main_v_CMD(s3, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)))),
% 49.77/32.45 inference(rewrite,[status(thm)],[])).
% 49.77/32.45 tff(10590,plain,
% 49.77/32.45 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_read_h_shared) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | ((~node3(s3)) | m_main_v_CMD(s3, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared))))),
% 49.77/32.45 inference(monotonicity,[status(thm)],[10589])).
% 49.77/32.45 tff(10591,plain,
% 49.77/32.45 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_read_h_shared) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (~node3(s3)) | m_main_v_CMD(s3, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)))),
% 49.77/32.45 inference(transitivity,[status(thm)],[10590, 10588])).
% 49.77/32.45 tff(10592,plain,
% 49.77/32.45 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_read_h_shared) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)))),
% 49.77/32.45 inference(quant_inst,[status(thm)],[])).
% 49.77/32.45 tff(10593,plain,
% 49.77/32.45 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (~node3(s3)) | m_main_v_CMD(s3, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared))),
% 49.77/32.45 inference(modus_ponens,[status(thm)],[10592, 10591])).
% 49.77/32.45 tff(10594,plain,
% 49.77/32.45 ($false),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[10593, 1260, 10577, 9605, 10587])).
% 49.77/32.45 tff(10595,plain,((~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | m_main_v_CMD(s3, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.45 tff(10596,plain,
% 49.77/32.45 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[10595, 9605])).
% 49.77/32.45 tff(10597,plain,
% 49.77/32.45 (~node47(c_p1, s3)),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[6804, 657, 10596])).
% 49.77/32.45 tff(10598,plain,
% 49.77/32.45 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[6792, 6710, 6709, 6711, 10597])).
% 49.77/32.45 tff(10599,plain,
% 49.77/32.45 (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[6777, 512, 10598, 10596, 6713, 6721])).
% 49.77/32.45 tff(10600,plain,
% 49.77/32.45 (m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid))),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[6739, 438, 10598, 10596, 6713, 6721])).
% 49.77/32.45 tff(10601,plain,
% 49.77/32.45 (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[10600, 10599])).
% 49.77/32.45 tff(10602,plain,
% 49.77/32.45 (m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared))),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[6767, 456, 10598, 10596, 6657, 6721])).
% 49.77/32.45 tff(10603,plain,
% 49.77/32.45 (~m_processor_v_CMD(c_p1, s3, c_write_h_shared)),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[10602, 10601, 10599])).
% 49.77/32.45 tff(10604,assumption,(node10(s3)), introduced(assumption)).
% 49.77/32.45 tff(10605,plain,
% 49.77/32.45 (^[I0: $i, X: $i] : refl(((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_waiting(I0, X) | m_processor_v_writable(I0, X)) <=> ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_waiting(I0, X) | m_processor_v_writable(I0, X)))),
% 49.77/32.45 inference(bind,[status(th)],[])).
% 49.77/32.45 tff(10606,plain,
% 49.77/32.45 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_waiting(I0, X) | m_processor_v_writable(I0, X)) <=> ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_waiting(I0, X) | m_processor_v_writable(I0, X))),
% 49.77/32.45 inference(quant_intro,[status(thm)],[10605])).
% 49.77/32.45 tff(10607,plain,
% 49.77/32.45 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_waiting(I0, X) | m_processor_v_writable(I0, X)) <=> ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_waiting(I0, X) | m_processor_v_writable(I0, X))),
% 49.77/32.45 inference(rewrite,[status(thm)],[])).
% 49.77/32.45 tff(10608,plain,
% 49.77/32.45 (^[I0: $i, X: $i] : trans(monotonicity(rewrite((m_processor_v_writable(I0, X) | (~m_processor_v_state(I0, X, c_owned))) <=> ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_writable(I0, X))), (((m_processor_v_writable(I0, X) | (~m_processor_v_state(I0, X, c_owned))) | m_processor_v_waiting(I0, X)) <=> (((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_writable(I0, X)) | m_processor_v_waiting(I0, X)))), rewrite((((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_writable(I0, X)) | m_processor_v_waiting(I0, X)) <=> ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_waiting(I0, X) | m_processor_v_writable(I0, X))), (((m_processor_v_writable(I0, X) | (~m_processor_v_state(I0, X, c_owned))) | m_processor_v_waiting(I0, X)) <=> ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_waiting(I0, X) | m_processor_v_writable(I0, X))))),
% 49.77/32.45 inference(bind,[status(th)],[])).
% 49.77/32.45 tff(10609,plain,
% 49.77/32.45 (![I0: $i, X: $i] : ((m_processor_v_writable(I0, X) | (~m_processor_v_state(I0, X, c_owned))) | m_processor_v_waiting(I0, X)) <=> ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_waiting(I0, X) | m_processor_v_writable(I0, X))),
% 49.77/32.45 inference(quant_intro,[status(thm)],[10608])).
% 49.77/32.45 tff(10610,axiom,(![I0: $i, X: $i] : ((m_processor_v_writable(I0, X) | (~m_processor_v_state(I0, X, c_owned))) | m_processor_v_waiting(I0, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_124')).
% 49.77/32.45 tff(10611,plain,
% 49.77/32.45 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_waiting(I0, X) | m_processor_v_writable(I0, X))),
% 49.77/32.45 inference(modus_ponens,[status(thm)],[10610, 10609])).
% 49.77/32.45 tff(10612,plain,
% 49.77/32.45 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_waiting(I0, X) | m_processor_v_writable(I0, X))),
% 49.77/32.45 inference(modus_ponens,[status(thm)],[10611, 10607])).
% 49.77/32.45 tff(10613,plain,(
% 49.77/32.45 ![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_waiting(I0, X) | m_processor_v_writable(I0, X))),
% 49.77/32.45 inference(skolemize,[status(sab)],[10612])).
% 49.77/32.45 tff(10614,plain,
% 49.77/32.45 (![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_waiting(I0, X) | m_processor_v_writable(I0, X))),
% 49.77/32.45 inference(modus_ponens,[status(thm)],[10613, 10606])).
% 49.77/32.45 tff(10615,plain,
% 49.77/32.45 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_waiting(I0, X) | m_processor_v_writable(I0, X))) | ((~m_processor_v_state(c_p1, s4, c_owned)) | m_processor_v_waiting(c_p1, s4) | m_processor_v_writable(c_p1, s4))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_waiting(I0, X) | m_processor_v_writable(I0, X))) | (~m_processor_v_state(c_p1, s4, c_owned)) | m_processor_v_waiting(c_p1, s4) | m_processor_v_writable(c_p1, s4))),
% 49.77/32.45 inference(rewrite,[status(thm)],[])).
% 49.77/32.45 tff(10616,plain,
% 49.77/32.45 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_waiting(I0, X) | m_processor_v_writable(I0, X))) | ((~m_processor_v_state(c_p1, s4, c_owned)) | m_processor_v_waiting(c_p1, s4) | m_processor_v_writable(c_p1, s4))),
% 49.77/32.45 inference(quant_inst,[status(thm)],[])).
% 49.77/32.45 tff(10617,plain,
% 49.77/32.45 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_waiting(I0, X) | m_processor_v_writable(I0, X))) | (~m_processor_v_state(c_p1, s4, c_owned)) | m_processor_v_waiting(c_p1, s4) | m_processor_v_writable(c_p1, s4)),
% 49.77/32.45 inference(modus_ponens,[status(thm)],[10616, 10615])).
% 49.77/32.45 tff(10618,plain,
% 49.77/32.45 (m_processor_v_writable(c_p1, s4)),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[10617, 10614, 6849, 6709])).
% 49.77/32.45 tff(10619,plain,
% 49.77/32.45 (node56(c_p1, s4)),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[6573, 10618])).
% 49.77/32.45 tff(10620,plain,
% 49.77/32.45 (m_processor_v_state(c_p1, s3, c_owned)),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[6815, 10619])).
% 49.77/32.45 tff(10621,assumption,(m_main_v_CMD(s3, c_write_h_invalid)), introduced(assumption)).
% 49.77/32.45 tff(10622,plain,
% 49.77/32.45 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | (~m_main_v_CMD(s3, c_write_h_invalid)) | (~node3(s3)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | (~m_main_v_CMD(s3, c_write_h_invalid)) | (~node3(s3)))),
% 49.77/32.45 inference(rewrite,[status(thm)],[])).
% 49.77/32.45 tff(10623,plain,
% 49.77/32.45 (((~m_main_v_CMD(s3, c_write_h_invalid)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid)) <=> (m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | (~m_main_v_CMD(s3, c_write_h_invalid)) | (~node3(s3)))),
% 49.77/32.45 inference(rewrite,[status(thm)],[])).
% 49.77/32.45 tff(10624,plain,
% 49.77/32.45 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_write_h_invalid)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | (~m_main_v_CMD(s3, c_write_h_invalid)) | (~node3(s3))))),
% 49.77/32.45 inference(monotonicity,[status(thm)],[10623])).
% 49.77/32.45 tff(10625,plain,
% 49.77/32.45 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_write_h_invalid)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | (~m_main_v_CMD(s3, c_write_h_invalid)) | (~node3(s3)))),
% 49.77/32.45 inference(transitivity,[status(thm)],[10624, 10622])).
% 49.77/32.45 tff(10626,plain,
% 49.77/32.45 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_write_h_invalid)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid))),
% 49.77/32.45 inference(quant_inst,[status(thm)],[])).
% 49.77/32.45 tff(10627,plain,
% 49.77/32.45 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | (~m_main_v_CMD(s3, c_write_h_invalid)) | (~node3(s3))),
% 49.77/32.45 inference(modus_ponens,[status(thm)],[10626, 10625])).
% 49.77/32.45 tff(10628,plain,
% 49.77/32.45 ($false),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[10627, 1945, 10577, 6731, 10621])).
% 49.77/32.45 tff(10629,plain,((~m_main_v_CMD(s3, c_write_h_invalid)) | m_processor_v_CMD(c_p1, s3, c_write_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.45 tff(10630,plain,
% 49.77/32.45 (~m_main_v_CMD(s3, c_write_h_invalid)),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[10629, 10599])).
% 49.77/32.45 tff(10631,assumption,(~m_main_v_CMD(s3, c_write_h_resp_h_shared)), introduced(assumption)).
% 49.77/32.45 tff(10632,plain,
% 49.77/32.45 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)))),
% 49.77/32.45 inference(rewrite,[status(thm)],[])).
% 49.77/32.45 tff(10633,plain,
% 49.77/32.45 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)))),
% 49.77/32.45 inference(quant_inst,[status(thm)],[])).
% 49.77/32.45 tff(10634,plain,
% 49.77/32.45 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared))),
% 49.77/32.45 inference(modus_ponens,[status(thm)],[10633, 10632])).
% 49.77/32.45 tff(10635,plain,
% 49.77/32.45 ((~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared))),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[10634, 3481, 10631])).
% 49.77/32.45 tff(10636,plain,
% 49.77/32.45 (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[10635, 10604])).
% 49.77/32.45 tff(10637,plain,
% 49.77/32.45 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p1, s3, c_invalid) | (~node62(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p1, s3, c_invalid) | (~node62(c_p1, s3)))),
% 49.77/32.45 inference(rewrite,[status(thm)],[])).
% 49.77/32.45 tff(10638,plain,
% 49.77/32.45 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p1, s3, c_invalid) | (~node62(c_p1, s3)))),
% 49.77/32.45 inference(quant_inst,[status(thm)],[])).
% 49.77/32.45 tff(10639,plain,
% 49.77/32.45 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p1, s3, c_invalid) | (~node62(c_p1, s3))),
% 49.77/32.45 inference(modus_ponens,[status(thm)],[10638, 10637])).
% 49.77/32.45 tff(10640,plain,
% 49.77/32.45 (~node62(c_p1, s3)),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[10639, 1633, 2621])).
% 49.77/32.45 tff(10641,plain,
% 49.77/32.45 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p1, s3, c_shared) | (~node63(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p1, s3, c_shared) | (~node63(c_p1, s3)))),
% 49.77/32.45 inference(rewrite,[status(thm)],[])).
% 49.77/32.45 tff(10642,plain,
% 49.77/32.45 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p1, s3, c_shared) | (~node63(c_p1, s3)))),
% 49.77/32.45 inference(quant_inst,[status(thm)],[])).
% 49.77/32.45 tff(10643,plain,
% 49.77/32.45 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p1, s3, c_shared) | (~node63(c_p1, s3))),
% 49.77/32.45 inference(modus_ponens,[status(thm)],[10642, 10641])).
% 49.77/32.45 tff(10644,plain,
% 49.77/32.45 (~node63(c_p1, s3)),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[10643, 1809, 5140])).
% 49.77/32.45 tff(10645,assumption,(m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)), introduced(assumption)).
% 49.77/32.45 tff(10646,plain,
% 49.77/32.45 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)))),
% 49.77/32.45 inference(rewrite,[status(thm)],[])).
% 49.77/32.45 tff(10647,plain,
% 49.77/32.45 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)))),
% 49.77/32.45 inference(quant_inst,[status(thm)],[])).
% 49.77/32.45 tff(10648,plain,
% 49.77/32.45 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid))),
% 49.77/32.45 inference(modus_ponens,[status(thm)],[10647, 10646])).
% 49.77/32.45 tff(10649,plain,
% 49.77/32.45 (m_main_v_CMD(s3, c_write_h_resp_h_invalid)),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[10648, 3481, 10604, 10645])).
% 49.77/32.45 tff(10650,assumption,(m_main_v_CMD(s3, c_write_h_resp_h_invalid)), introduced(assumption)).
% 49.77/32.45 tff(10651,plain,
% 49.77/32.45 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node3(s3)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node3(s3)))),
% 49.77/32.45 inference(rewrite,[status(thm)],[])).
% 49.77/32.45 tff(10652,plain,
% 49.77/32.45 (((~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)) <=> (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node3(s3)))),
% 49.77/32.45 inference(rewrite,[status(thm)],[])).
% 49.77/32.45 tff(10653,plain,
% 49.77/32.45 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node3(s3))))),
% 49.77/32.45 inference(monotonicity,[status(thm)],[10652])).
% 49.77/32.45 tff(10654,plain,
% 49.77/32.45 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node3(s3)))),
% 49.77/32.45 inference(transitivity,[status(thm)],[10653, 10651])).
% 49.77/32.45 tff(10655,plain,
% 49.77/32.45 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid))),
% 49.77/32.45 inference(quant_inst,[status(thm)],[])).
% 49.77/32.45 tff(10656,plain,
% 49.77/32.45 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node3(s3))),
% 49.77/32.45 inference(modus_ponens,[status(thm)],[10655, 10654])).
% 49.77/32.45 tff(10657,plain,
% 49.77/32.45 ($false),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[10656, 1945, 10577, 6743, 10650])).
% 49.77/32.45 tff(10658,plain,((~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.77/32.45 tff(10659,plain,
% 49.77/32.45 (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[10658, 10649])).
% 49.77/32.45 tff(10660,plain,
% 49.77/32.45 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid))) <=> ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid))))),
% 49.77/32.45 inference(bind,[status(th)],[])).
% 49.77/32.45 tff(10661,plain,
% 49.77/32.45 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))),
% 49.77/32.45 inference(quant_intro,[status(thm)],[10660])).
% 49.77/32.45 tff(10662,plain,
% 49.77/32.45 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))),
% 49.77/32.45 inference(rewrite,[status(thm)],[])).
% 49.77/32.45 tff(10663,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_24')).
% 49.77/32.45 tff(10664,plain,
% 49.77/32.45 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))),
% 49.77/32.45 inference(modus_ponens,[status(thm)],[10663, 10662])).
% 49.77/32.45 tff(10665,plain,(
% 49.77/32.45 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))),
% 49.77/32.45 inference(skolemize,[status(sab)],[10664])).
% 49.77/32.45 tff(10666,plain,
% 49.77/32.45 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))),
% 49.77/32.45 inference(modus_ponens,[status(thm)],[10665, 10661])).
% 49.77/32.45 tff(10667,plain,
% 49.77/32.45 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)))),
% 49.77/32.45 inference(rewrite,[status(thm)],[])).
% 49.77/32.45 tff(10668,plain,
% 49.77/32.45 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)))),
% 49.77/32.45 inference(quant_inst,[status(thm)],[])).
% 49.77/32.45 tff(10669,plain,
% 49.77/32.45 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid))),
% 49.77/32.45 inference(modus_ponens,[status(thm)],[10668, 10667])).
% 49.77/32.45 tff(10670,plain,
% 49.77/32.45 (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)),
% 49.77/32.45 inference(unit_resolution,[status(thm)],[10669, 10666, 10645])).
% 49.84/32.45 tff(10671,plain,
% 49.84/32.45 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | (~node10(s3)) | (~m_main_v_CMD(s3, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | (~node10(s3)) | (~m_main_v_CMD(s3, c_write_h_invalid)))),
% 49.84/32.45 inference(rewrite,[status(thm)],[])).
% 49.84/32.45 tff(10672,plain,
% 49.84/32.45 (((~m_main_v_CMD(s3, c_write_h_invalid)) | (~node10(s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid)) <=> (m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | (~node10(s3)) | (~m_main_v_CMD(s3, c_write_h_invalid)))),
% 49.84/32.45 inference(rewrite,[status(thm)],[])).
% 49.84/32.45 tff(10673,plain,
% 49.84/32.45 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_write_h_invalid)) | (~node10(s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | (~node10(s3)) | (~m_main_v_CMD(s3, c_write_h_invalid))))),
% 49.84/32.45 inference(monotonicity,[status(thm)],[10672])).
% 49.84/32.45 tff(10674,plain,
% 49.84/32.45 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_write_h_invalid)) | (~node10(s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | (~node10(s3)) | (~m_main_v_CMD(s3, c_write_h_invalid)))),
% 49.84/32.45 inference(transitivity,[status(thm)],[10673, 10671])).
% 49.84/32.45 tff(10675,plain,
% 49.84/32.45 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_write_h_invalid)) | (~node10(s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid))),
% 49.84/32.45 inference(quant_inst,[status(thm)],[])).
% 49.84/32.45 tff(10676,plain,
% 49.84/32.45 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | (~node10(s3)) | (~m_main_v_CMD(s3, c_write_h_invalid))),
% 49.84/32.45 inference(modus_ponens,[status(thm)],[10675, 10674])).
% 49.84/32.45 tff(10677,plain,
% 49.84/32.45 (~m_main_v_CMD(s3, c_write_h_invalid)),
% 49.84/32.45 inference(unit_resolution,[status(thm)],[10676, 3512, 10604, 10670])).
% 49.84/32.45 tff(10678,assumption,(m_processor_v_CMD(c_p1, s3, c_write_h_invalid)), introduced(assumption)).
% 49.84/32.45 tff(10679,assumption,(~m_main_v_CMD(s3, c_write_h_invalid)), introduced(assumption)).
% 49.84/32.45 tff(10680,plain,
% 49.84/32.45 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_invalid) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s3, c_write_h_invalid) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)))),
% 49.84/32.45 inference(rewrite,[status(thm)],[])).
% 49.84/32.45 tff(10681,plain,
% 49.84/32.45 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_invalid) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)))),
% 49.84/32.45 inference(quant_inst,[status(thm)],[])).
% 49.84/32.45 tff(10682,plain,
% 49.84/32.45 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s3, c_write_h_invalid) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid))),
% 49.84/32.45 inference(modus_ponens,[status(thm)],[10681, 10680])).
% 49.84/32.45 tff(10683,plain,
% 49.84/32.45 ($false),
% 49.84/32.45 inference(unit_resolution,[status(thm)],[10682, 1260, 10577, 10679, 10678])).
% 49.84/32.45 tff(10684,plain,((~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)) | m_main_v_CMD(s3, c_write_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.84/32.45 tff(10685,plain,
% 49.84/32.45 (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)),
% 49.84/32.45 inference(unit_resolution,[status(thm)],[10684, 10677])).
% 49.84/32.45 tff(10686,plain,
% 49.84/32.45 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s3, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)))),
% 49.84/32.46 inference(rewrite,[status(thm)],[])).
% 49.84/32.46 tff(10687,plain,
% 49.84/32.46 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s3, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)))),
% 49.84/32.46 inference(quant_inst,[status(thm)],[])).
% 49.84/32.46 tff(10688,plain,
% 49.84/32.46 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid))),
% 49.84/32.46 inference(modus_ponens,[status(thm)],[10687, 10686])).
% 49.84/32.46 tff(10689,plain,
% 49.84/32.46 (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)),
% 49.84/32.46 inference(unit_resolution,[status(thm)],[10688, 3498, 10645])).
% 49.84/32.46 tff(10690,plain,
% 49.84/32.46 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~node10(s3)) | (~m_main_v_CMD(s3, c_read_h_owned)) | m_processor_v_cmd(c_p1, s3, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s3)) | (~m_main_v_CMD(s3, c_read_h_owned)) | m_processor_v_cmd(c_p1, s3, c_read_h_owned))),
% 49.84/32.46 inference(rewrite,[status(thm)],[])).
% 49.84/32.46 tff(10691,plain,
% 49.84/32.46 (((~m_main_v_CMD(s3, c_read_h_owned)) | (~node10(s3)) | m_processor_v_cmd(c_p1, s3, c_read_h_owned)) <=> ((~node10(s3)) | (~m_main_v_CMD(s3, c_read_h_owned)) | m_processor_v_cmd(c_p1, s3, c_read_h_owned))),
% 49.84/32.46 inference(rewrite,[status(thm)],[])).
% 49.84/32.46 tff(10692,plain,
% 49.84/32.46 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~node10(s3)) | m_processor_v_cmd(c_p1, s3, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~node10(s3)) | (~m_main_v_CMD(s3, c_read_h_owned)) | m_processor_v_cmd(c_p1, s3, c_read_h_owned)))),
% 49.84/32.46 inference(monotonicity,[status(thm)],[10691])).
% 49.84/32.46 tff(10693,plain,
% 49.84/32.46 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~node10(s3)) | m_processor_v_cmd(c_p1, s3, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s3)) | (~m_main_v_CMD(s3, c_read_h_owned)) | m_processor_v_cmd(c_p1, s3, c_read_h_owned))),
% 49.84/32.46 inference(transitivity,[status(thm)],[10692, 10690])).
% 49.84/32.46 tff(10694,plain,
% 49.84/32.46 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~node10(s3)) | m_processor_v_cmd(c_p1, s3, c_read_h_owned))),
% 49.84/32.46 inference(quant_inst,[status(thm)],[])).
% 49.84/32.46 tff(10695,plain,
% 49.84/32.46 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s3)) | (~m_main_v_CMD(s3, c_read_h_owned)) | m_processor_v_cmd(c_p1, s3, c_read_h_owned)),
% 49.84/32.46 inference(modus_ponens,[status(thm)],[10694, 10693])).
% 49.84/32.46 tff(10696,plain,
% 49.84/32.46 (~m_main_v_CMD(s3, c_read_h_owned)),
% 49.84/32.46 inference(unit_resolution,[status(thm)],[10695, 3512, 10604, 10689])).
% 49.84/32.46 tff(10697,plain,
% 49.84/32.46 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | ((~node3(s3)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (~node3(s3)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)))),
% 49.84/32.46 inference(rewrite,[status(thm)],[])).
% 49.84/32.46 tff(10698,plain,
% 49.84/32.46 ((m_main_v_CMD(s3, c_read_h_owned) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned))) <=> ((~node3(s3)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)))),
% 49.84/32.46 inference(rewrite,[status(thm)],[])).
% 49.84/32.46 tff(10699,plain,
% 49.84/32.46 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_read_h_owned) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | ((~node3(s3)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned))))),
% 49.84/32.46 inference(monotonicity,[status(thm)],[10698])).
% 49.84/32.46 tff(10700,plain,
% 49.84/32.46 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_read_h_owned) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (~node3(s3)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)))),
% 49.84/32.46 inference(transitivity,[status(thm)],[10699, 10697])).
% 49.84/32.46 tff(10701,plain,
% 49.84/32.46 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_read_h_owned) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)))),
% 49.84/32.46 inference(quant_inst,[status(thm)],[])).
% 49.84/32.46 tff(10702,plain,
% 49.84/32.46 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (~node3(s3)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned))),
% 49.84/32.46 inference(modus_ponens,[status(thm)],[10701, 10700])).
% 49.84/32.46 tff(10703,plain,
% 49.84/32.46 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 49.84/32.46 inference(unit_resolution,[status(thm)],[10702, 1260, 10577, 10696])).
% 49.84/32.46 tff(10704,plain,
% 49.84/32.46 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 49.84/32.46 inference(unit_resolution,[status(thm)],[10593, 1260, 10577, 9605])).
% 49.84/32.46 tff(10705,plain,
% 49.84/32.46 ($false),
% 49.84/32.46 inference(unit_resolution,[status(thm)],[6740, 10704, 10703, 10685, 10659])).
% 49.84/32.46 tff(10706,plain,((~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p1, s4, c_invalid) | (~node34(c_p1, s3, s4)) | m_main_v_CMD(s3, c_read_h_shared) | (~node10(s3))), inference(lemma,lemma(discharge,[]))).
% 49.84/32.46 tff(10707,plain,
% 49.84/32.46 (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)),
% 49.84/32.46 inference(unit_resolution,[status(thm)],[10706, 10604, 9605, 6722, 6713])).
% 49.84/32.46 tff(10708,plain,
% 49.84/32.46 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p1, s3, c_owned)) | node63(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_owned)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p1, s3, c_owned)) | node63(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_owned)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid))),
% 49.84/32.46 inference(rewrite,[status(thm)],[])).
% 49.84/32.46 tff(10709,plain,
% 49.84/32.46 ((m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s3, c_owned)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3)) <=> ((~m_processor_v_state(c_p1, s3, c_owned)) | node63(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_owned)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid))),
% 49.84/32.46 inference(rewrite,[status(thm)],[])).
% 49.84/32.46 tff(10710,plain,
% 49.84/32.46 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s3, c_owned)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p1, s3, c_owned)) | node63(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_owned)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)))),
% 49.84/32.46 inference(monotonicity,[status(thm)],[10709])).
% 49.84/32.46 tff(10711,plain,
% 49.84/32.46 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s3, c_owned)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p1, s3, c_owned)) | node63(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_owned)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid))),
% 49.84/32.46 inference(transitivity,[status(thm)],[10710, 10708])).
% 49.84/32.46 tff(10712,plain,
% 49.84/32.46 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s3, c_owned)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3))),
% 49.84/32.46 inference(quant_inst,[status(thm)],[])).
% 49.84/32.46 tff(10713,plain,
% 49.84/32.46 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p1, s3, c_owned)) | node63(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_owned)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)),
% 49.84/32.46 inference(modus_ponens,[status(thm)],[10712, 10711])).
% 49.84/32.46 tff(10714,plain,
% 49.84/32.46 (node63(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_owned)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)),
% 49.84/32.46 inference(unit_resolution,[status(thm)],[10713, 7172, 2595])).
% 49.84/32.46 tff(10715,plain,
% 49.84/32.46 (~m_processor_v_snoop(c_p1, s3, c_owned)),
% 49.84/32.46 inference(unit_resolution,[status(thm)],[10714, 10707, 10644, 6711, 10640])).
% 49.84/32.46 tff(10716,plain,
% 49.84/32.46 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p1, s3, c_owned) | (~node64(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p1, s3, c_owned) | (~node64(c_p1, s3)))),
% 49.84/32.46 inference(rewrite,[status(thm)],[])).
% 49.84/32.46 tff(10717,plain,
% 49.84/32.46 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p1, s3, c_owned) | (~node64(c_p1, s3)))),
% 49.84/32.46 inference(quant_inst,[status(thm)],[])).
% 49.84/32.46 tff(10718,plain,
% 49.84/32.46 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p1, s3, c_owned) | (~node64(c_p1, s3))),
% 49.84/32.46 inference(modus_ponens,[status(thm)],[10717, 10716])).
% 49.84/32.46 tff(10719,plain,
% 49.84/32.46 (~node64(c_p1, s3)),
% 49.84/32.46 inference(unit_resolution,[status(thm)],[10718, 4082, 10715])).
% 49.84/32.46 tff(10720,plain,
% 49.84/32.46 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p1, s3, c_owned)) | node63(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node64(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_shared)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p1, s3, c_owned)) | node63(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node64(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_shared)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared))),
% 49.84/32.46 inference(rewrite,[status(thm)],[])).
% 49.84/32.46 tff(10721,plain,
% 49.84/32.46 ((m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s3, c_shared)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3)) <=> ((~m_processor_v_state(c_p1, s3, c_owned)) | node63(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node64(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_shared)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared))),
% 49.84/32.46 inference(rewrite,[status(thm)],[])).
% 49.84/32.46 tff(10722,plain,
% 49.84/32.46 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s3, c_shared)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p1, s3, c_owned)) | node63(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node64(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_shared)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)))),
% 49.84/32.46 inference(monotonicity,[status(thm)],[10721])).
% 49.84/32.46 tff(10723,plain,
% 49.84/32.46 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s3, c_shared)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p1, s3, c_owned)) | node63(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node64(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_shared)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared))),
% 49.84/32.46 inference(transitivity,[status(thm)],[10722, 10720])).
% 49.84/32.46 tff(10724,plain,
% 49.84/32.46 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s3, c_shared)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3))),
% 49.84/32.46 inference(quant_inst,[status(thm)],[])).
% 49.84/32.46 tff(10725,plain,
% 49.84/32.46 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p1, s3, c_owned)) | node63(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node64(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_shared)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)),
% 49.84/32.46 inference(modus_ponens,[status(thm)],[10724, 10723])).
% 49.84/32.46 tff(10726,plain,
% 49.84/32.46 (node63(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node64(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_shared)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)),
% 49.84/32.46 inference(unit_resolution,[status(thm)],[10725, 7256, 2595])).
% 49.84/32.46 tff(10727,plain,
% 49.84/32.46 (~m_processor_v_snoop(c_p1, s3, c_shared)),
% 49.84/32.46 inference(unit_resolution,[status(thm)],[10726, 10719, 6711, 10644, 10640, 10636])).
% 49.84/32.46 tff(10728,plain,
% 49.84/32.46 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s3)) | m_main_v_CMD(s3, c_write_h_invalid) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s3)) | m_main_v_CMD(s3, c_write_h_invalid) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)))),
% 49.84/32.46 inference(rewrite,[status(thm)],[])).
% 49.84/32.46 tff(10729,plain,
% 49.84/32.46 ((m_main_v_CMD(s3, c_write_h_invalid) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid))) <=> ((~node10(s3)) | m_main_v_CMD(s3, c_write_h_invalid) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)))),
% 49.84/32.46 inference(rewrite,[status(thm)],[])).
% 49.84/32.46 tff(10730,plain,
% 49.84/32.46 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_invalid) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s3)) | m_main_v_CMD(s3, c_write_h_invalid) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid))))),
% 49.84/32.46 inference(monotonicity,[status(thm)],[10729])).
% 49.84/32.46 tff(10731,plain,
% 49.84/32.46 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_invalid) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s3)) | m_main_v_CMD(s3, c_write_h_invalid) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)))),
% 49.84/32.46 inference(transitivity,[status(thm)],[10730, 10728])).
% 49.84/32.46 tff(10732,plain,
% 49.84/32.46 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_invalid) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)))),
% 49.84/32.46 inference(quant_inst,[status(thm)],[])).
% 49.84/32.46 tff(10733,plain,
% 49.84/32.46 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s3)) | m_main_v_CMD(s3, c_write_h_invalid) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid))),
% 49.84/32.46 inference(modus_ponens,[status(thm)],[10732, 10731])).
% 49.84/32.46 tff(10734,plain,
% 49.84/32.46 ((~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid))),
% 49.84/32.46 inference(unit_resolution,[status(thm)],[10733, 3481, 10679])).
% 49.84/32.46 tff(10735,plain,
% 49.84/32.46 (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)),
% 49.84/32.46 inference(unit_resolution,[status(thm)],[10734, 10604])).
% 49.84/32.46 tff(10736,assumption,(~m_processor_v_snoop(c_p1, s3, c_owned)), introduced(assumption)).
% 49.84/32.46 tff(10737,assumption,(~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)), introduced(assumption)).
% 49.84/32.46 tff(10738,assumption,(~node62(c_p1, s3)), introduced(assumption)).
% 49.84/32.46 tff(10739,plain,
% 49.84/32.46 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s3, c_invalid) | m_processor_v_snoop(c_p1, s3, c_shared) | m_processor_v_snoop(c_p1, s3, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p1, s3, c_invalid) | m_processor_v_snoop(c_p1, s3, c_shared) | m_processor_v_snoop(c_p1, s3, c_owned))),
% 49.84/32.46 inference(rewrite,[status(thm)],[])).
% 49.84/32.46 tff(10740,plain,
% 49.84/32.46 ((m_processor_v_snoop(c_p1, s3, c_shared) | m_processor_v_snoop(c_p1, s3, c_owned) | m_processor_v_snoop(c_p1, s3, c_invalid)) <=> (m_processor_v_snoop(c_p1, s3, c_invalid) | m_processor_v_snoop(c_p1, s3, c_shared) | m_processor_v_snoop(c_p1, s3, c_owned))),
% 49.84/32.46 inference(rewrite,[status(thm)],[])).
% 49.84/32.46 tff(10741,plain,
% 49.84/32.46 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s3, c_shared) | m_processor_v_snoop(c_p1, s3, c_owned) | m_processor_v_snoop(c_p1, s3, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s3, c_invalid) | m_processor_v_snoop(c_p1, s3, c_shared) | m_processor_v_snoop(c_p1, s3, c_owned)))),
% 49.84/32.46 inference(monotonicity,[status(thm)],[10740])).
% 49.84/32.46 tff(10742,plain,
% 49.84/32.46 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s3, c_shared) | m_processor_v_snoop(c_p1, s3, c_owned) | m_processor_v_snoop(c_p1, s3, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p1, s3, c_invalid) | m_processor_v_snoop(c_p1, s3, c_shared) | m_processor_v_snoop(c_p1, s3, c_owned))),
% 49.84/32.46 inference(transitivity,[status(thm)],[10741, 10739])).
% 49.84/32.46 tff(10743,plain,
% 49.84/32.46 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s3, c_shared) | m_processor_v_snoop(c_p1, s3, c_owned) | m_processor_v_snoop(c_p1, s3, c_invalid))),
% 49.84/32.46 inference(quant_inst,[status(thm)],[])).
% 49.84/32.46 tff(10744,plain,
% 49.84/32.46 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p1, s3, c_invalid) | m_processor_v_snoop(c_p1, s3, c_shared) | m_processor_v_snoop(c_p1, s3, c_owned)),
% 49.84/32.46 inference(modus_ponens,[status(thm)],[10743, 10742])).
% 49.84/32.46 tff(10745,plain,
% 49.84/32.46 (m_processor_v_snoop(c_p1, s3, c_shared) | m_processor_v_snoop(c_p1, s3, c_owned)),
% 49.84/32.46 inference(unit_resolution,[status(thm)],[10744, 7213, 7455])).
% 49.84/32.46 tff(10746,plain,
% 49.84/32.46 (m_processor_v_snoop(c_p1, s3, c_shared)),
% 49.84/32.46 inference(unit_resolution,[status(thm)],[10745, 10736])).
% 49.84/32.46 tff(10747,plain,
% 49.84/32.46 (node64(c_p1, s3)),
% 49.84/32.46 inference(unit_resolution,[status(thm)],[10726, 10746, 10738, 9463, 6711, 10737])).
% 49.84/32.46 tff(10748,plain,
% 49.84/32.46 ($false),
% 49.84/32.46 inference(unit_resolution,[status(thm)],[10718, 4082, 10747, 10736])).
% 49.84/32.46 tff(10749,plain,(m_processor_v_snoop(c_p1, s3, c_owned) | node62(c_p1, s3) | node63(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_snoop(c_p1, s3, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.84/32.46 tff(10750,plain,
% 49.84/32.46 (m_processor_v_snoop(c_p1, s3, c_invalid)),
% 49.84/32.46 inference(unit_resolution,[status(thm)],[10749, 10636, 6711, 10644, 2595, 10715, 10640])).
% 49.84/32.46 tff(10751,plain,
% 49.84/32.46 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p1, s3, c_owned)) | node63(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | node62(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | node65(c_p1, s3) | node64(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p1, s3, c_owned)) | node63(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | node62(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | node65(c_p1, s3) | node64(c_p1, s3))),
% 49.84/32.47 inference(rewrite,[status(thm)],[])).
% 49.84/32.47 tff(10752,plain,
% 49.84/32.47 ((m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | node65(c_p1, s3)) <=> ((~m_processor_v_state(c_p1, s3, c_owned)) | node63(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | node62(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | node65(c_p1, s3) | node64(c_p1, s3))),
% 49.84/32.47 inference(rewrite,[status(thm)],[])).
% 49.84/32.47 tff(10753,plain,
% 49.84/32.47 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | node65(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p1, s3, c_owned)) | node63(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | node62(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | node65(c_p1, s3) | node64(c_p1, s3)))),
% 49.84/32.47 inference(monotonicity,[status(thm)],[10752])).
% 49.84/32.47 tff(10754,plain,
% 49.84/32.47 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | node65(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p1, s3, c_owned)) | node63(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | node62(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | node65(c_p1, s3) | node64(c_p1, s3))),
% 49.84/32.47 inference(transitivity,[status(thm)],[10753, 10751])).
% 49.84/32.47 tff(10755,plain,
% 49.84/32.47 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | node63(c_p1, s3) | node64(c_p1, s3) | node65(c_p1, s3))),
% 49.84/32.47 inference(quant_inst,[status(thm)],[])).
% 49.84/32.47 tff(10756,plain,
% 49.84/32.47 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p1, s3, c_owned)) | node63(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | node62(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | node65(c_p1, s3) | node64(c_p1, s3)),
% 49.84/32.47 inference(modus_ponens,[status(thm)],[10755, 10754])).
% 49.84/32.47 tff(10757,plain,
% 49.84/32.47 (node63(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | node62(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | node65(c_p1, s3) | node64(c_p1, s3)),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[10756, 7232, 2595])).
% 49.84/32.47 tff(10758,plain,
% 49.84/32.47 (node65(c_p1, s3)),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[10757, 10719, 6711, 10644, 10640, 10750, 10735])).
% 49.84/32.47 tff(10759,plain,
% 49.84/32.47 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p1, s3, c_shared) | (~node65(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p1, s3, c_shared) | (~node65(c_p1, s3)))),
% 49.84/32.47 inference(rewrite,[status(thm)],[])).
% 49.84/32.47 tff(10760,plain,
% 49.84/32.47 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p1, s3, c_shared) | (~node65(c_p1, s3)))),
% 49.84/32.47 inference(quant_inst,[status(thm)],[])).
% 49.84/32.47 tff(10761,plain,
% 49.84/32.47 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p1, s3, c_shared) | (~node65(c_p1, s3))),
% 49.84/32.47 inference(modus_ponens,[status(thm)],[10760, 10759])).
% 49.84/32.47 tff(10762,plain,
% 49.84/32.47 ($false),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[10761, 4107, 10758, 10727])).
% 49.84/32.47 tff(10763,plain,((~node10(s3)) | (~m_processor_v_master(c_p1, s3)) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_main_v_CMD(s3, c_write_h_invalid) | m_main_v_CMD(s3, c_write_h_resp_h_shared) | m_main_v_CMD(s3, c_read_h_shared) | (~node34(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.84/32.47 tff(10764,plain,
% 49.84/32.47 (m_main_v_CMD(s3, c_write_h_resp_h_shared)),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[10763, 10630, 10620, 6711, 6713, 10604, 9605, 6721])).
% 49.84/32.47 tff(10765,assumption,(m_main_v_CMD(s3, c_write_h_resp_h_shared)), introduced(assumption)).
% 49.84/32.47 tff(10766,assumption,(~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)), introduced(assumption)).
% 49.84/32.47 tff(10767,plain,
% 49.84/32.47 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node3(s3)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node3(s3)))),
% 49.84/32.47 inference(rewrite,[status(thm)],[])).
% 49.84/32.47 tff(10768,plain,
% 49.84/32.47 (((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node3(s3)))),
% 49.84/32.47 inference(rewrite,[status(thm)],[])).
% 49.84/32.47 tff(10769,plain,
% 49.84/32.47 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node3(s3))))),
% 49.84/32.47 inference(monotonicity,[status(thm)],[10768])).
% 49.84/32.47 tff(10770,plain,
% 49.84/32.47 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node3(s3)))),
% 49.84/32.47 inference(transitivity,[status(thm)],[10769, 10767])).
% 49.84/32.47 tff(10771,plain,
% 49.84/32.47 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared))),
% 49.84/32.47 inference(quant_inst,[status(thm)],[])).
% 49.84/32.47 tff(10772,plain,
% 49.84/32.47 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node3(s3))),
% 49.84/32.47 inference(modus_ponens,[status(thm)],[10771, 10770])).
% 49.84/32.47 tff(10773,plain,
% 49.84/32.47 ($false),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[10772, 1945, 10577, 10766, 10765])).
% 49.84/32.47 tff(10774,plain,((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.84/32.47 tff(10775,plain,
% 49.84/32.47 (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[10774, 10764])).
% 49.84/32.47 tff(10776,plain,
% 49.84/32.47 (m_processor_v_CMD(c_p1, s3, c_write_h_invalid) | m_processor_v_CMD(c_p1, s3, c_write_h_shared) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared))),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[6757, 492, 10598, 10596, 6657, 6721])).
% 49.84/32.47 tff(10777,plain,
% 49.84/32.47 ($false),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[10776, 10775, 10603, 10599, 10601])).
% 49.84/32.47 tff(10778,plain,(m_processor_v_abort(c_p1, s3) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_state(c_p1, s4, c_invalid) | (~node10(s3)) | m_main_v_CMD(s3, c_read_h_shared) | m_processor_v_waiting(c_p1, s4)), inference(lemma,lemma(discharge,[]))).
% 49.84/32.47 tff(10779,plain,
% 49.84/32.47 (~node10(s3)),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[10778, 10586, 6713, 6709, 6710, 6657, 10566])).
% 49.84/32.47 tff(10780,assumption,(node9(s3)), introduced(assumption)).
% 49.84/32.47 tff(10781,plain,
% 49.84/32.47 (((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | (m_processor_v_cmd(c_p1, s3, c_idle) | (~node9(s3)))) <=> ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | m_processor_v_cmd(c_p1, s3, c_idle) | (~node9(s3)))),
% 49.84/32.47 inference(rewrite,[status(thm)],[])).
% 49.84/32.47 tff(10782,plain,
% 49.84/32.47 ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | (m_processor_v_cmd(c_p1, s3, c_idle) | (~node9(s3)))),
% 49.84/32.47 inference(quant_inst,[status(thm)],[])).
% 49.84/32.47 tff(10783,plain,
% 49.84/32.47 ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | m_processor_v_cmd(c_p1, s3, c_idle) | (~node9(s3))),
% 49.84/32.47 inference(modus_ponens,[status(thm)],[10782, 10781])).
% 49.84/32.47 tff(10784,plain,
% 49.84/32.47 ($false),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[10783, 3443, 9446, 10780])).
% 49.84/32.47 tff(10785,plain,((~node9(s3)) | m_processor_v_cmd(c_p1, s3, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.84/32.47 tff(10786,plain,
% 49.84/32.47 (~node9(s3)),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[10785, 9446])).
% 49.84/32.47 tff(10787,plain,
% 49.84/32.47 (~m_processor_v_master(c_p0, s3)),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[9444, 794, 10566])).
% 49.84/32.47 tff(10788,plain,
% 49.84/32.47 (m_processor_v_cmd(c_p0, s3, c_idle)),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[10144, 10787])).
% 49.84/32.47 tff(10789,assumption,(~node9(s3)), introduced(assumption)).
% 49.84/32.47 tff(10790,assumption,(~node10(s3)), introduced(assumption)).
% 49.84/32.47 tff(10791,assumption,(m_processor_v_cmd(c_p0, s3, c_idle)), introduced(assumption)).
% 49.84/32.47 tff(10792,assumption,(m_processor_v_cmd(c_p2, s3, c_idle)), introduced(assumption)).
% 49.84/32.47 tff(10793,plain,
% 49.84/32.47 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | ((~m_processor_v_cmd(c_p0, s3, c_idle)) | node9(s3) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node10(s3))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | node9(s3) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node10(s3))),
% 49.84/32.47 inference(rewrite,[status(thm)],[])).
% 49.84/32.47 tff(10794,plain,
% 49.84/32.47 ((node9(s3) | node10(s3) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle))) <=> ((~m_processor_v_cmd(c_p0, s3, c_idle)) | node9(s3) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node10(s3))),
% 49.84/32.47 inference(rewrite,[status(thm)],[])).
% 49.84/32.47 tff(10795,plain,
% 49.84/32.47 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s3) | node10(s3) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | ((~m_processor_v_cmd(c_p0, s3, c_idle)) | node9(s3) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node10(s3)))),
% 49.84/32.47 inference(monotonicity,[status(thm)],[10794])).
% 49.84/32.47 tff(10796,plain,
% 49.84/32.47 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s3) | node10(s3) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | node9(s3) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node10(s3))),
% 49.84/32.47 inference(transitivity,[status(thm)],[10795, 10793])).
% 49.84/32.47 tff(10797,plain,
% 49.84/32.47 ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s3) | node10(s3) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)))),
% 49.84/32.47 inference(quant_inst,[status(thm)],[])).
% 49.84/32.47 tff(10798,plain,
% 49.84/32.47 ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | node9(s3) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node10(s3)),
% 49.84/32.47 inference(modus_ponens,[status(thm)],[10797, 10796])).
% 49.84/32.47 tff(10799,plain,
% 49.84/32.47 ($false),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[10798, 3461, 10792, 10791, 9550, 10790, 10789])).
% 49.84/32.47 tff(10800,plain,(node10(s3) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node9(s3)), inference(lemma,lemma(discharge,[]))).
% 49.84/32.47 tff(10801,plain,
% 49.84/32.47 (~m_processor_v_cmd(c_p2, s3, c_idle)),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[10800, 10788, 9550, 10786, 10779])).
% 49.84/32.47 tff(10802,plain,
% 49.84/32.47 ($false),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[9594, 10801, 10571])).
% 49.84/32.47 tff(10803,plain,(m_processor_v_cmd(c_p1, s3, c_idle) | (~m_memory_v_cmd(c_m, s3, c_idle)) | m_processor_v_state(c_p1, s4, c_invalid) | m_processor_v_waiting(c_p1, s4) | m_processor_v_abort(c_p1, s3) | m_processor_v_state(c_p1, s4, c_shared)), inference(lemma,lemma(discharge,[]))).
% 49.84/32.47 tff(10804,plain,
% 49.84/32.47 (m_processor_v_cmd(c_p1, s3, c_idle)),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[10803, 6710, 6713, 6709, 10565, 6657])).
% 49.84/32.47 tff(10805,plain,
% 49.84/32.47 (m_processor_v_master(c_p0, s2)),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[9671, 5494, 56])).
% 49.84/32.47 tff(10806,plain,
% 49.84/32.47 (~node32(c_p0, s2, s3)),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[5496, 5494, 2666])).
% 49.84/32.47 tff(10807,plain,
% 49.84/32.47 (~m_processor_v_abort(c_p0, s2)),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[2704, 10806])).
% 49.84/32.47 tff(10808,plain,
% 49.84/32.47 (m_processor_v_waiting(c_p0, s3)),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[5647, 10807, 10805, 5494])).
% 49.84/32.47 tff(10809,assumption,(m_processor_v_waiting(c_p0, s3)), introduced(assumption)).
% 49.84/32.47 tff(10810,assumption,(node52(c_p0, s3, s4)), introduced(assumption)).
% 49.84/32.47 tff(10811,plain,
% 49.84/32.47 (^[Y: $i, I0: $i, X: $i] : refl((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y))) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y))))),
% 49.84/32.47 inference(bind,[status(th)],[])).
% 49.84/32.47 tff(10812,plain,
% 49.84/32.47 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))),
% 49.84/32.47 inference(quant_intro,[status(thm)],[10811])).
% 49.84/32.47 tff(10813,plain,
% 49.84/32.47 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))),
% 49.84/32.47 inference(rewrite,[status(thm)],[])).
% 49.84/32.47 tff(10814,plain,
% 49.84/32.47 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(rewrite((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X))) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)))), (((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X))) | (~node52(I0, X, Y))) <=> ((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X))) | (~node52(I0, X, Y))))), rewrite(((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X))) | (~node52(I0, X, Y))) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))), (((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X))) | (~node52(I0, X, Y))) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))))),
% 49.84/32.47 inference(bind,[status(th)],[])).
% 49.84/32.47 tff(10815,plain,
% 49.84/32.47 (![Y: $i, I0: $i, X: $i] : ((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X))) | (~node52(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))),
% 49.84/32.47 inference(quant_intro,[status(thm)],[10814])).
% 49.84/32.47 tff(10816,axiom,(![Y: $i, I0: $i, X: $i] : ((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X))) | (~node52(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_106')).
% 49.84/32.47 tff(10817,plain,
% 49.84/32.47 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))),
% 49.84/32.47 inference(modus_ponens,[status(thm)],[10816, 10815])).
% 49.84/32.47 tff(10818,plain,
% 49.84/32.47 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))),
% 49.84/32.47 inference(modus_ponens,[status(thm)],[10817, 10813])).
% 49.84/32.47 tff(10819,plain,(
% 49.84/32.47 ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))),
% 49.84/32.47 inference(skolemize,[status(sab)],[10818])).
% 49.84/32.47 tff(10820,plain,
% 49.84/32.47 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))),
% 49.84/32.47 inference(modus_ponens,[status(thm)],[10819, 10812])).
% 49.84/32.47 tff(10821,plain,
% 49.84/32.47 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s3)) | m_processor_v_waiting(c_p0, s4) | (~node52(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s3)) | m_processor_v_waiting(c_p0, s4) | (~node52(c_p0, s3, s4)))),
% 49.84/32.47 inference(rewrite,[status(thm)],[])).
% 49.84/32.47 tff(10822,plain,
% 49.84/32.47 ((m_processor_v_waiting(c_p0, s4) | (~m_processor_v_waiting(c_p0, s3)) | (~node52(c_p0, s3, s4))) <=> ((~m_processor_v_waiting(c_p0, s3)) | m_processor_v_waiting(c_p0, s4) | (~node52(c_p0, s3, s4)))),
% 49.84/32.47 inference(rewrite,[status(thm)],[])).
% 49.84/32.47 tff(10823,plain,
% 49.84/32.47 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s4) | (~m_processor_v_waiting(c_p0, s3)) | (~node52(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s3)) | m_processor_v_waiting(c_p0, s4) | (~node52(c_p0, s3, s4))))),
% 49.84/32.47 inference(monotonicity,[status(thm)],[10822])).
% 49.84/32.47 tff(10824,plain,
% 49.84/32.47 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s4) | (~m_processor_v_waiting(c_p0, s3)) | (~node52(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s3)) | m_processor_v_waiting(c_p0, s4) | (~node52(c_p0, s3, s4)))),
% 49.84/32.47 inference(transitivity,[status(thm)],[10823, 10821])).
% 49.84/32.47 tff(10825,plain,
% 49.84/32.47 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s4) | (~m_processor_v_waiting(c_p0, s3)) | (~node52(c_p0, s3, s4)))),
% 49.84/32.47 inference(quant_inst,[status(thm)],[])).
% 49.84/32.47 tff(10826,plain,
% 49.84/32.47 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s3)) | m_processor_v_waiting(c_p0, s4) | (~node52(c_p0, s3, s4))),
% 49.84/32.47 inference(modus_ponens,[status(thm)],[10825, 10824])).
% 49.84/32.47 tff(10827,plain,
% 49.84/32.47 ($false),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[10826, 10820, 10810, 9816, 10809])).
% 49.84/32.47 tff(10828,plain,((~node52(c_p0, s3, s4)) | m_processor_v_waiting(c_p0, s4) | (~m_processor_v_waiting(c_p0, s3))), inference(lemma,lemma(discharge,[]))).
% 49.84/32.47 tff(10829,plain,
% 49.84/32.47 (~node52(c_p0, s3, s4)),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[10828, 10808, 9816])).
% 49.84/32.47 tff(10830,plain,
% 49.84/32.47 (node8(s2)),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[5596, 10805])).
% 49.84/32.47 tff(10831,plain,
% 49.84/32.47 (node34(c_p0, s2, s3)),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[9272, 10807, 10805])).
% 49.84/32.47 tff(10832,plain,
% 49.84/32.47 (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[9214, 416, 2723, 10831])).
% 49.84/32.47 tff(10833,plain,
% 49.84/32.47 (~m_main_v_CMD(s2, c_read_h_shared)),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[5526, 10832])).
% 49.84/32.47 tff(10834,plain,
% 49.84/32.47 (~m_processor_v_cmd(c_p0, s2, c_read_h_shared)),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[5611, 10833, 10830])).
% 49.84/32.47 tff(10835,plain,
% 49.84/32.47 (m_processor_v_cmd(c_p0, s2, c_read_h_shared) | m_processor_v_cmd(c_p0, s2, c_read_h_owned)),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[5618, 1835, 10805, 5494])).
% 49.84/32.47 tff(10836,plain,
% 49.84/32.47 (m_processor_v_cmd(c_p0, s2, c_read_h_owned)),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[10835, 10834])).
% 49.84/32.47 tff(10837,plain,
% 49.84/32.47 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p0, s2, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p0, s2, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared)))),
% 49.84/32.47 inference(rewrite,[status(thm)],[])).
% 49.84/32.47 tff(10838,plain,
% 49.84/32.47 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p0, s2, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared)))),
% 49.84/32.47 inference(quant_inst,[status(thm)],[])).
% 49.84/32.47 tff(10839,plain,
% 49.84/32.47 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p0, s2, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared))),
% 49.84/32.47 inference(modus_ponens,[status(thm)],[10838, 10837])).
% 49.84/32.47 tff(10840,plain,
% 49.84/32.47 (~m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared)),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[10839, 3526, 10836])).
% 49.84/32.47 tff(10841,plain,
% 49.84/32.47 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s2, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s2, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s2, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s2, c_write_h_invalid)))),
% 49.84/32.47 inference(rewrite,[status(thm)],[])).
% 49.84/32.47 tff(10842,plain,
% 49.84/32.47 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s2, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s2, c_write_h_invalid)))),
% 49.84/32.47 inference(quant_inst,[status(thm)],[])).
% 49.84/32.47 tff(10843,plain,
% 49.84/32.47 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s2, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s2, c_write_h_invalid))),
% 49.84/32.47 inference(modus_ponens,[status(thm)],[10842, 10841])).
% 49.84/32.47 tff(10844,plain,
% 49.84/32.47 (~m_processor_v_cmd(c_p0, s2, c_write_h_invalid)),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[10843, 3716, 10836])).
% 49.84/32.47 tff(10845,plain,
% 49.84/32.47 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p0, s2, c_idle)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p0, s2, c_idle)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_owned)))),
% 49.84/32.47 inference(rewrite,[status(thm)],[])).
% 49.84/32.47 tff(10846,plain,
% 49.84/32.47 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p0, s2, c_idle)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_owned)))),
% 49.84/32.47 inference(quant_inst,[status(thm)],[])).
% 49.84/32.47 tff(10847,plain,
% 49.84/32.47 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p0, s2, c_idle)) | (~m_processor_v_cmd(c_p0, s2, c_read_h_owned))),
% 49.84/32.47 inference(modus_ponens,[status(thm)],[10846, 10845])).
% 49.84/32.47 tff(10848,plain,
% 49.84/32.47 (~m_processor_v_cmd(c_p0, s2, c_idle)),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[10847, 3189, 10836])).
% 49.84/32.47 tff(10849,assumption,(~m_processor_v_snoop(c_p0, s2, c_invalid)), introduced(assumption)).
% 49.84/32.47 tff(10850,assumption,(~m_processor_v_snoop(c_p0, s1, c_invalid)), introduced(assumption)).
% 49.84/32.47 tff(10851,plain,
% 49.84/32.47 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | (m_processor_v_master(c_p0, s0) | (~node43(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | m_processor_v_master(c_p0, s0) | (~node43(c_p0, s0)))),
% 49.84/32.47 inference(rewrite,[status(thm)],[])).
% 49.84/32.47 tff(10852,plain,
% 49.84/32.47 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | (m_processor_v_master(c_p0, s0) | (~node43(c_p0, s0)))),
% 49.84/32.47 inference(quant_inst,[status(thm)],[])).
% 49.84/32.47 tff(10853,plain,
% 49.84/32.47 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | m_processor_v_master(c_p0, s0) | (~node43(c_p0, s0))),
% 49.84/32.47 inference(modus_ponens,[status(thm)],[10852, 10851])).
% 49.84/32.47 tff(10854,plain,
% 49.84/32.47 (~node43(c_p0, s0)),
% 49.84/32.47 inference(unit_resolution,[status(thm)],[10853, 8159, 2822])).
% 49.84/32.47 tff(10855,plain,
% 49.84/32.47 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | (m_processor_v_master(c_p0, s0) | (~node42(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | m_processor_v_master(c_p0, s0) | (~node42(c_p0, s0)))),
% 49.84/32.47 inference(rewrite,[status(thm)],[])).
% 49.84/32.47 tff(10856,plain,
% 49.84/32.47 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | (m_processor_v_master(c_p0, s0) | (~node42(c_p0, s0)))),
% 49.84/32.47 inference(quant_inst,[status(thm)],[])).
% 49.84/32.47 tff(10857,plain,
% 49.84/32.47 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | m_processor_v_master(c_p0, s0) | (~node42(c_p0, s0))),
% 49.84/32.48 inference(modus_ponens,[status(thm)],[10856, 10855])).
% 49.84/32.48 tff(10858,plain,
% 49.84/32.48 (~node42(c_p0, s0)),
% 49.84/32.48 inference(unit_resolution,[status(thm)],[10857, 8170, 2822])).
% 49.84/32.48 tff(10859,assumption,(~node42(c_p0, s0)), introduced(assumption)).
% 49.84/32.48 tff(10860,assumption,(~node43(c_p0, s0)), introduced(assumption)).
% 49.84/32.48 tff(10861,plain,
% 49.84/32.48 ((~![I0: $i] : m_processor_v_snoop(I0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s0, c_invalid)),
% 49.84/32.48 inference(quant_inst,[status(thm)],[])).
% 49.84/32.48 tff(10862,plain,
% 49.84/32.48 (m_processor_v_snoop(c_p0, s0, c_invalid)),
% 49.84/32.48 inference(unit_resolution,[status(thm)],[10861, 4062])).
% 49.84/32.48 tff(10863,plain,
% 49.84/32.48 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | ((~m_processor_v_snoop(c_p0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s1, c_invalid) | (~node44(c_p0, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | (~m_processor_v_snoop(c_p0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s1, c_invalid) | (~node44(c_p0, s0, s1)))),
% 49.84/32.48 inference(rewrite,[status(thm)],[])).
% 49.84/32.48 tff(10864,plain,
% 49.84/32.48 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | ((~m_processor_v_snoop(c_p0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s1, c_invalid) | (~node44(c_p0, s0, s1)))),
% 49.84/32.48 inference(quant_inst,[status(thm)],[])).
% 49.84/32.48 tff(10865,plain,
% 49.84/32.48 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | (~m_processor_v_snoop(c_p0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s1, c_invalid) | (~node44(c_p0, s0, s1))),
% 49.84/32.48 inference(modus_ponens,[status(thm)],[10864, 10863])).
% 49.84/32.48 tff(10866,plain,
% 49.84/32.48 (m_processor_v_snoop(c_p0, s1, c_invalid) | (~node44(c_p0, s0, s1))),
% 49.84/32.48 inference(unit_resolution,[status(thm)],[10865, 7470, 10862])).
% 49.84/32.48 tff(10867,plain,
% 49.84/32.48 (~node44(c_p0, s0, s1)),
% 49.84/32.48 inference(unit_resolution,[status(thm)],[10866, 10850])).
% 49.84/32.48 tff(10868,assumption,(~node45(c_p0, s0, s1)), introduced(assumption)).
% 49.84/32.48 tff(10869,plain,
% 49.84/32.48 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s0, s1)) | node45(c_p0, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s0, s1)) | node45(c_p0, s0, s1))),
% 49.84/32.48 inference(rewrite,[status(thm)],[])).
% 49.84/32.48 tff(10870,plain,
% 49.84/32.48 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s0, s1)) | node45(c_p0, s0, s1))),
% 49.84/32.48 inference(quant_inst,[status(thm)],[])).
% 49.84/32.48 tff(10871,plain,
% 49.84/32.48 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s0, s1)) | node45(c_p0, s0, s1)),
% 49.84/32.48 inference(modus_ponens,[status(thm)],[10870, 10869])).
% 49.84/32.48 tff(10872,plain,
% 49.84/32.48 ($false),
% 49.84/32.48 inference(unit_resolution,[status(thm)],[10871, 7503, 2811, 10868])).
% 49.84/32.48 tff(10873,plain,(node45(c_p0, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 49.84/32.48 tff(10874,plain,
% 49.84/32.48 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node40(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | m_processor_v_state(c_p0, s0, c_owned) | (~node40(c_p0, s0)))),
% 49.84/32.48 inference(rewrite,[status(thm)],[])).
% 49.84/32.48 tff(10875,plain,
% 49.84/32.48 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node40(c_p0, s0)))),
% 49.84/32.48 inference(quant_inst,[status(thm)],[])).
% 49.84/32.48 tff(10876,plain,
% 49.84/32.48 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | m_processor_v_state(c_p0, s0, c_owned) | (~node40(c_p0, s0))),
% 49.84/32.48 inference(modus_ponens,[status(thm)],[10875, 10874])).
% 49.84/32.48 tff(10877,plain,
% 49.84/32.48 (~node40(c_p0, s0)),
% 49.84/32.48 inference(unit_resolution,[status(thm)],[10876, 7535, 4138])).
% 49.84/32.48 tff(10878,plain,
% 49.84/32.48 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node41(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | m_processor_v_state(c_p0, s0, c_owned) | (~node41(c_p0, s0)))),
% 49.84/32.48 inference(rewrite,[status(thm)],[])).
% 49.84/32.48 tff(10879,plain,
% 49.84/32.48 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | (m_processor_v_state(c_p0, s0, c_owned) | (~node41(c_p0, s0)))),
% 49.84/32.48 inference(quant_inst,[status(thm)],[])).
% 49.84/32.48 tff(10880,plain,
% 49.84/32.48 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | m_processor_v_state(c_p0, s0, c_owned) | (~node41(c_p0, s0))),
% 49.84/32.48 inference(modus_ponens,[status(thm)],[10879, 10878])).
% 49.84/32.48 tff(10881,plain,
% 49.84/32.48 (~node41(c_p0, s0)),
% 49.84/32.48 inference(unit_resolution,[status(thm)],[10880, 7548, 4138])).
% 49.84/32.48 tff(10882,plain,
% 49.84/32.48 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (node41(c_p0, s0) | node40(c_p0, s0) | m_processor_v_abort(c_p0, s0) | node43(c_p0, s0) | node42(c_p0, s0) | node44(c_p0, s0, s1) | (~node45(c_p0, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | node41(c_p0, s0) | node40(c_p0, s0) | m_processor_v_abort(c_p0, s0) | node43(c_p0, s0) | node42(c_p0, s0) | node44(c_p0, s0, s1) | (~node45(c_p0, s0, s1)))),
% 49.84/32.48 inference(rewrite,[status(thm)],[])).
% 49.84/32.48 tff(10883,plain,
% 49.84/32.48 ((m_processor_v_abort(c_p0, s0) | node40(c_p0, s0) | node41(c_p0, s0) | node42(c_p0, s0) | node43(c_p0, s0) | node44(c_p0, s0, s1) | (~node45(c_p0, s0, s1))) <=> (node41(c_p0, s0) | node40(c_p0, s0) | m_processor_v_abort(c_p0, s0) | node43(c_p0, s0) | node42(c_p0, s0) | node44(c_p0, s0, s1) | (~node45(c_p0, s0, s1)))),
% 49.84/32.48 inference(rewrite,[status(thm)],[])).
% 49.84/32.48 tff(10884,plain,
% 49.84/32.48 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s0) | node40(c_p0, s0) | node41(c_p0, s0) | node42(c_p0, s0) | node43(c_p0, s0) | node44(c_p0, s0, s1) | (~node45(c_p0, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (node41(c_p0, s0) | node40(c_p0, s0) | m_processor_v_abort(c_p0, s0) | node43(c_p0, s0) | node42(c_p0, s0) | node44(c_p0, s0, s1) | (~node45(c_p0, s0, s1))))),
% 49.84/32.48 inference(monotonicity,[status(thm)],[10883])).
% 49.84/32.48 tff(10885,plain,
% 49.84/32.48 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s0) | node40(c_p0, s0) | node41(c_p0, s0) | node42(c_p0, s0) | node43(c_p0, s0) | node44(c_p0, s0, s1) | (~node45(c_p0, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | node41(c_p0, s0) | node40(c_p0, s0) | m_processor_v_abort(c_p0, s0) | node43(c_p0, s0) | node42(c_p0, s0) | node44(c_p0, s0, s1) | (~node45(c_p0, s0, s1)))),
% 49.84/32.48 inference(transitivity,[status(thm)],[10884, 10882])).
% 49.84/32.48 tff(10886,plain,
% 49.84/32.48 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s0) | node40(c_p0, s0) | node41(c_p0, s0) | node42(c_p0, s0) | node43(c_p0, s0) | node44(c_p0, s0, s1) | (~node45(c_p0, s0, s1)))),
% 49.84/32.48 inference(quant_inst,[status(thm)],[])).
% 49.84/32.48 tff(10887,plain,
% 49.84/32.48 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | node41(c_p0, s0) | node40(c_p0, s0) | m_processor_v_abort(c_p0, s0) | node43(c_p0, s0) | node42(c_p0, s0) | node44(c_p0, s0, s1) | (~node45(c_p0, s0, s1))),
% 49.84/32.48 inference(modus_ponens,[status(thm)],[10886, 10885])).
% 49.84/32.48 tff(10888,plain,
% 49.84/32.48 (m_processor_v_abort(c_p0, s0) | node43(c_p0, s0) | node42(c_p0, s0) | node44(c_p0, s0, s1)),
% 49.84/32.48 inference(unit_resolution,[status(thm)],[10887, 7596, 10881, 10877, 10873])).
% 49.84/32.48 tff(10889,plain,
% 49.84/32.48 (m_processor_v_abort(c_p0, s0)),
% 49.84/32.48 inference(unit_resolution,[status(thm)],[10888, 10867, 10860, 10859])).
% 49.84/32.48 tff(10890,plain,
% 49.84/32.48 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s0)) | node39(c_p0, s0, s1) | (~node45(c_p0, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s0)) | node39(c_p0, s0, s1) | (~node45(c_p0, s0, s1)))),
% 49.84/32.48 inference(rewrite,[status(thm)],[])).
% 49.84/32.48 tff(10891,plain,
% 49.84/32.48 ((node39(c_p0, s0, s1) | (~m_processor_v_abort(c_p0, s0)) | (~node45(c_p0, s0, s1))) <=> ((~m_processor_v_abort(c_p0, s0)) | node39(c_p0, s0, s1) | (~node45(c_p0, s0, s1)))),
% 49.84/32.48 inference(rewrite,[status(thm)],[])).
% 49.84/32.48 tff(10892,plain,
% 49.84/32.48 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p0, s0, s1) | (~m_processor_v_abort(c_p0, s0)) | (~node45(c_p0, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s0)) | node39(c_p0, s0, s1) | (~node45(c_p0, s0, s1))))),
% 49.84/32.48 inference(monotonicity,[status(thm)],[10891])).
% 49.84/32.48 tff(10893,plain,
% 49.84/32.48 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p0, s0, s1) | (~m_processor_v_abort(c_p0, s0)) | (~node45(c_p0, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s0)) | node39(c_p0, s0, s1) | (~node45(c_p0, s0, s1)))),
% 49.84/32.48 inference(transitivity,[status(thm)],[10892, 10890])).
% 49.84/32.48 tff(10894,plain,
% 49.84/32.48 ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p0, s0, s1) | (~m_processor_v_abort(c_p0, s0)) | (~node45(c_p0, s0, s1)))),
% 49.84/32.48 inference(quant_inst,[status(thm)],[])).
% 49.84/32.48 tff(10895,plain,
% 49.84/32.48 ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s0)) | node39(c_p0, s0, s1) | (~node45(c_p0, s0, s1))),
% 49.84/32.48 inference(modus_ponens,[status(thm)],[10894, 10893])).
% 49.84/32.48 tff(10896,plain,
% 49.84/32.48 ((~m_processor_v_abort(c_p0, s0)) | node39(c_p0, s0, s1)),
% 49.84/32.48 inference(unit_resolution,[status(thm)],[10895, 7518, 10873])).
% 49.84/32.48 tff(10897,plain,
% 49.84/32.48 (node39(c_p0, s0, s1)),
% 49.84/32.48 inference(unit_resolution,[status(thm)],[10896, 10889])).
% 49.84/32.48 tff(10898,plain,
% 49.84/32.48 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~m_processor_v_snoop(c_p0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s1, c_invalid) | (~node39(c_p0, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s1, c_invalid) | (~node39(c_p0, s0, s1)))),
% 49.84/32.48 inference(rewrite,[status(thm)],[])).
% 49.84/32.48 tff(10899,plain,
% 49.84/32.48 (((~node39(c_p0, s0, s1)) | (~m_processor_v_snoop(c_p0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s1, c_invalid)) <=> ((~m_processor_v_snoop(c_p0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s1, c_invalid) | (~node39(c_p0, s0, s1)))),
% 49.84/32.48 inference(rewrite,[status(thm)],[])).
% 49.84/32.48 tff(10900,plain,
% 49.84/32.48 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p0, s0, s1)) | (~m_processor_v_snoop(c_p0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s1, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~m_processor_v_snoop(c_p0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s1, c_invalid) | (~node39(c_p0, s0, s1))))),
% 49.84/32.48 inference(monotonicity,[status(thm)],[10899])).
% 49.87/32.48 tff(10901,plain,
% 49.87/32.48 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p0, s0, s1)) | (~m_processor_v_snoop(c_p0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s1, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s1, c_invalid) | (~node39(c_p0, s0, s1)))),
% 49.87/32.48 inference(transitivity,[status(thm)],[10900, 10898])).
% 49.87/32.48 tff(10902,plain,
% 49.87/32.48 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p0, s0, s1)) | (~m_processor_v_snoop(c_p0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s1, c_invalid))),
% 49.87/32.48 inference(quant_inst,[status(thm)],[])).
% 49.87/32.48 tff(10903,plain,
% 49.87/32.48 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p0, s0, c_invalid)) | m_processor_v_snoop(c_p0, s1, c_invalid) | (~node39(c_p0, s0, s1))),
% 49.87/32.48 inference(modus_ponens,[status(thm)],[10902, 10901])).
% 49.87/32.48 tff(10904,plain,
% 49.87/32.48 ($false),
% 49.87/32.48 inference(unit_resolution,[status(thm)],[10903, 7486, 10850, 10862, 10897])).
% 49.87/32.48 tff(10905,plain,(m_processor_v_snoop(c_p0, s1, c_invalid) | node43(c_p0, s0) | node42(c_p0, s0)), inference(lemma,lemma(discharge,[]))).
% 49.87/32.48 tff(10906,plain,
% 49.87/32.48 ($false),
% 49.87/32.48 inference(unit_resolution,[status(thm)],[10905, 10858, 10854, 10850])).
% 49.87/32.48 tff(10907,plain,(m_processor_v_master(c_p0, s0) | m_processor_v_snoop(c_p0, s1, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.87/32.48 tff(10908,plain,
% 49.87/32.48 (m_processor_v_master(c_p0, s0)),
% 49.87/32.48 inference(unit_resolution,[status(thm)],[10907, 10850])).
% 49.87/32.48 tff(10909,plain,
% 49.87/32.48 (~m_processor_v_master(c_p1, s0)),
% 49.87/32.48 inference(unit_resolution,[status(thm)],[2974, 10908])).
% 49.87/32.48 tff(10910,assumption,(node39(c_p0, s0, s1)), introduced(assumption)).
% 49.87/32.48 tff(10911,plain,
% 49.87/32.48 ($false),
% 49.87/32.48 inference(unit_resolution,[status(thm)],[10903, 7486, 10850, 10862, 10910])).
% 49.87/32.48 tff(10912,plain,((~node39(c_p0, s0, s1)) | m_processor_v_snoop(c_p0, s1, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.87/32.48 tff(10913,plain,
% 49.87/32.48 (~node39(c_p0, s0, s1)),
% 49.87/32.48 inference(unit_resolution,[status(thm)],[10912, 10850])).
% 49.87/32.48 tff(10914,plain,
% 49.87/32.48 (m_processor_v_abort(c_p0, s0)),
% 49.87/32.48 inference(unit_resolution,[status(thm)],[3054, 10908, 2848])).
% 49.87/32.48 tff(10915,plain,
% 49.87/32.48 ($false),
% 49.87/32.48 inference(unit_resolution,[status(thm)],[10896, 10914, 10913])).
% 49.87/32.48 tff(10916,plain,(m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_waiting(c_p0, s1)), inference(lemma,lemma(discharge,[]))).
% 49.87/32.48 tff(10917,plain,
% 49.87/32.48 (m_processor_v_waiting(c_p0, s1)),
% 49.87/32.48 inference(unit_resolution,[status(thm)],[10916, 10850])).
% 49.87/32.48 tff(10918,plain,
% 49.87/32.48 (~m_processor_v_state(c_p1, s1, c_invalid)),
% 49.87/32.48 inference(unit_resolution,[status(thm)],[3843, 10917, 2781])).
% 49.87/32.48 tff(10919,plain,
% 49.87/32.48 ($false),
% 49.87/32.48 inference(unit_resolution,[status(thm)],[3102, 10918, 10909])).
% 49.87/32.48 tff(10920,plain,(m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_state(c_p1, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.87/32.48 tff(10921,plain,
% 49.87/32.48 (m_processor_v_snoop(c_p0, s1, c_invalid)),
% 49.87/32.48 inference(unit_resolution,[status(thm)],[10920, 2781])).
% 49.87/32.48 tff(10922,assumption,(m_processor_v_snoop(c_p0, s1, c_invalid)), introduced(assumption)).
% 49.87/32.48 tff(10923,assumption,(node39(c_p0, s1, s2)), introduced(assumption)).
% 49.87/32.48 tff(10924,plain,
% 49.87/32.48 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~m_processor_v_snoop(c_p0, s1, c_invalid)) | m_processor_v_snoop(c_p0, s2, c_invalid) | (~node39(c_p0, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | m_processor_v_snoop(c_p0, s2, c_invalid) | (~node39(c_p0, s1, s2)))),
% 49.87/32.48 inference(rewrite,[status(thm)],[])).
% 49.87/32.48 tff(10925,plain,
% 49.87/32.48 (((~node39(c_p0, s1, s2)) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | m_processor_v_snoop(c_p0, s2, c_invalid)) <=> ((~m_processor_v_snoop(c_p0, s1, c_invalid)) | m_processor_v_snoop(c_p0, s2, c_invalid) | (~node39(c_p0, s1, s2)))),
% 49.87/32.48 inference(rewrite,[status(thm)],[])).
% 49.87/32.48 tff(10926,plain,
% 49.87/32.48 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p0, s1, s2)) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | m_processor_v_snoop(c_p0, s2, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~m_processor_v_snoop(c_p0, s1, c_invalid)) | m_processor_v_snoop(c_p0, s2, c_invalid) | (~node39(c_p0, s1, s2))))),
% 49.87/32.48 inference(monotonicity,[status(thm)],[10925])).
% 49.87/32.48 tff(10927,plain,
% 49.87/32.48 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p0, s1, s2)) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | m_processor_v_snoop(c_p0, s2, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | m_processor_v_snoop(c_p0, s2, c_invalid) | (~node39(c_p0, s1, s2)))),
% 49.87/32.48 inference(transitivity,[status(thm)],[10926, 10924])).
% 49.87/32.48 tff(10928,plain,
% 49.87/32.48 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p0, s1, s2)) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | m_processor_v_snoop(c_p0, s2, c_invalid))),
% 49.87/32.48 inference(quant_inst,[status(thm)],[])).
% 49.87/32.48 tff(10929,plain,
% 49.87/32.48 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | m_processor_v_snoop(c_p0, s2, c_invalid) | (~node39(c_p0, s1, s2))),
% 49.87/32.48 inference(modus_ponens,[status(thm)],[10928, 10927])).
% 49.87/32.48 tff(10930,plain,
% 49.87/32.48 ($false),
% 49.87/32.48 inference(unit_resolution,[status(thm)],[10929, 7486, 10922, 10849, 10923])).
% 49.87/32.48 tff(10931,plain,((~node39(c_p0, s1, s2)) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | m_processor_v_snoop(c_p0, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.87/32.48 tff(10932,plain,
% 49.87/32.48 (~node39(c_p0, s1, s2)),
% 49.87/32.48 inference(unit_resolution,[status(thm)],[10931, 10849, 10922])).
% 49.87/32.48 tff(10933,assumption,(~node45(c_p0, s1, s2)), introduced(assumption)).
% 49.87/32.48 tff(10934,plain,
% 49.87/32.48 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s1, s2)) | node45(c_p0, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s1, s2)) | node45(c_p0, s1, s2))),
% 49.87/32.48 inference(rewrite,[status(thm)],[])).
% 49.87/32.48 tff(10935,plain,
% 49.87/32.48 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s1, s2)) | node45(c_p0, s1, s2))),
% 49.87/32.48 inference(quant_inst,[status(thm)],[])).
% 49.87/32.48 tff(10936,plain,
% 49.87/32.48 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s1, s2)) | node45(c_p0, s1, s2)),
% 49.87/32.48 inference(modus_ponens,[status(thm)],[10935, 10934])).
% 49.87/32.48 tff(10937,plain,
% 49.87/32.48 ($false),
% 49.87/32.48 inference(unit_resolution,[status(thm)],[10936, 7503, 3136, 10933])).
% 49.87/32.48 tff(10938,plain,(node45(c_p0, s1, s2)), inference(lemma,lemma(discharge,[]))).
% 49.87/32.48 tff(10939,plain,
% 49.87/32.48 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s1)) | node39(c_p0, s1, s2) | (~node45(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s1)) | node39(c_p0, s1, s2) | (~node45(c_p0, s1, s2)))),
% 49.87/32.48 inference(rewrite,[status(thm)],[])).
% 49.87/32.48 tff(10940,plain,
% 49.87/32.48 ((node39(c_p0, s1, s2) | (~m_processor_v_abort(c_p0, s1)) | (~node45(c_p0, s1, s2))) <=> ((~m_processor_v_abort(c_p0, s1)) | node39(c_p0, s1, s2) | (~node45(c_p0, s1, s2)))),
% 49.87/32.48 inference(rewrite,[status(thm)],[])).
% 49.87/32.48 tff(10941,plain,
% 49.87/32.48 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p0, s1, s2) | (~m_processor_v_abort(c_p0, s1)) | (~node45(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s1)) | node39(c_p0, s1, s2) | (~node45(c_p0, s1, s2))))),
% 49.87/32.48 inference(monotonicity,[status(thm)],[10940])).
% 49.87/32.48 tff(10942,plain,
% 49.87/32.48 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p0, s1, s2) | (~m_processor_v_abort(c_p0, s1)) | (~node45(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s1)) | node39(c_p0, s1, s2) | (~node45(c_p0, s1, s2)))),
% 49.87/32.48 inference(transitivity,[status(thm)],[10941, 10939])).
% 49.87/32.48 tff(10943,plain,
% 49.87/32.48 ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p0, s1, s2) | (~m_processor_v_abort(c_p0, s1)) | (~node45(c_p0, s1, s2)))),
% 49.87/32.48 inference(quant_inst,[status(thm)],[])).
% 49.87/32.48 tff(10944,plain,
% 49.87/32.48 ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s1)) | node39(c_p0, s1, s2) | (~node45(c_p0, s1, s2))),
% 49.87/32.48 inference(modus_ponens,[status(thm)],[10943, 10942])).
% 49.87/32.48 tff(10945,plain,
% 49.87/32.48 ((~m_processor_v_abort(c_p0, s1)) | node39(c_p0, s1, s2)),
% 49.87/32.48 inference(unit_resolution,[status(thm)],[10944, 7518, 10938])).
% 49.87/32.48 tff(10946,plain,
% 49.87/32.48 (~m_processor_v_abort(c_p0, s1)),
% 49.87/32.48 inference(unit_resolution,[status(thm)],[10945, 10932])).
% 49.87/32.48 tff(10947,plain,
% 49.87/32.48 (~m_processor_v_state(c_p0, s1, c_owned)),
% 49.87/32.48 inference(unit_resolution,[status(thm)],[5782, 137, 3849])).
% 49.87/32.48 tff(10948,plain,
% 49.87/32.48 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | (m_processor_v_state(c_p0, s1, c_owned) | (~node40(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | m_processor_v_state(c_p0, s1, c_owned) | (~node40(c_p0, s1)))),
% 49.87/32.48 inference(rewrite,[status(thm)],[])).
% 49.87/32.48 tff(10949,plain,
% 49.87/32.48 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | (m_processor_v_state(c_p0, s1, c_owned) | (~node40(c_p0, s1)))),
% 49.87/32.48 inference(quant_inst,[status(thm)],[])).
% 49.87/32.48 tff(10950,plain,
% 49.87/32.48 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | m_processor_v_state(c_p0, s1, c_owned) | (~node40(c_p0, s1))),
% 49.87/32.48 inference(modus_ponens,[status(thm)],[10949, 10948])).
% 49.87/32.48 tff(10951,plain,
% 49.87/32.48 (~node40(c_p0, s1)),
% 49.87/32.48 inference(unit_resolution,[status(thm)],[10950, 7535, 10947])).
% 49.87/32.48 tff(10952,plain,
% 49.87/32.48 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | (m_processor_v_state(c_p0, s1, c_owned) | (~node41(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | m_processor_v_state(c_p0, s1, c_owned) | (~node41(c_p0, s1)))),
% 49.87/32.48 inference(rewrite,[status(thm)],[])).
% 49.87/32.48 tff(10953,plain,
% 49.87/32.48 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | (m_processor_v_state(c_p0, s1, c_owned) | (~node41(c_p0, s1)))),
% 49.87/32.48 inference(quant_inst,[status(thm)],[])).
% 49.87/32.48 tff(10954,plain,
% 49.87/32.48 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | m_processor_v_state(c_p0, s1, c_owned) | (~node41(c_p0, s1))),
% 49.87/32.48 inference(modus_ponens,[status(thm)],[10953, 10952])).
% 49.87/32.48 tff(10955,plain,
% 49.87/32.48 (~node41(c_p0, s1)),
% 49.87/32.48 inference(unit_resolution,[status(thm)],[10954, 7548, 10947])).
% 49.87/32.48 tff(10956,plain,
% 49.87/32.48 (((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p0, s1, c_invalid)) | (~m_processor_v_snoop(c_p0, s1, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | (~m_processor_v_snoop(c_p0, s1, c_shared)))),
% 49.87/32.48 inference(rewrite,[status(thm)],[])).
% 49.87/32.48 tff(10957,plain,
% 49.87/32.48 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p0, s1, c_invalid)) | (~m_processor_v_snoop(c_p0, s1, c_shared)))),
% 49.87/32.49 inference(quant_inst,[status(thm)],[])).
% 49.87/32.49 tff(10958,plain,
% 49.87/32.49 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | (~m_processor_v_snoop(c_p0, s1, c_shared))),
% 49.87/32.49 inference(modus_ponens,[status(thm)],[10957, 10956])).
% 49.87/32.49 tff(10959,plain,
% 49.87/32.49 (~m_processor_v_snoop(c_p0, s1, c_shared)),
% 49.87/32.49 inference(unit_resolution,[status(thm)],[10958, 4096, 10922])).
% 49.87/32.49 tff(10960,plain,
% 49.87/32.49 (((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | ((~m_processor_v_snoop(c_p0, s1, c_invalid)) | (~m_processor_v_snoop(c_p0, s1, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | (~m_processor_v_snoop(c_p0, s1, c_owned)))),
% 49.87/32.49 inference(rewrite,[status(thm)],[])).
% 49.87/32.49 tff(10961,plain,
% 49.87/32.49 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | ((~m_processor_v_snoop(c_p0, s1, c_invalid)) | (~m_processor_v_snoop(c_p0, s1, c_owned)))),
% 49.87/32.49 inference(quant_inst,[status(thm)],[])).
% 49.87/32.49 tff(10962,plain,
% 49.87/32.49 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | (~m_processor_v_snoop(c_p0, s1, c_invalid)) | (~m_processor_v_snoop(c_p0, s1, c_owned))),
% 49.87/32.49 inference(modus_ponens,[status(thm)],[10961, 10960])).
% 49.87/32.49 tff(10963,plain,
% 49.87/32.49 (~m_processor_v_snoop(c_p0, s1, c_owned)),
% 49.87/32.49 inference(unit_resolution,[status(thm)],[10962, 4071, 10922])).
% 49.87/32.49 tff(10964,assumption,(~m_processor_v_snoop(c_p0, s1, c_shared)), introduced(assumption)).
% 49.87/32.49 tff(10965,assumption,(node44(c_p0, s1, s2)), introduced(assumption)).
% 49.87/32.49 tff(10966,assumption,(m_processor_v_snoop(c_p0, s2, c_shared)), introduced(assumption)).
% 49.87/32.49 tff(10967,plain,
% 49.87/32.49 (^[V: $i, Y: $i, I0: $i, X: $i] : refl((m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y))) <=> (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y))))),
% 49.87/32.49 inference(bind,[status(th)],[])).
% 49.87/32.49 tff(10968,plain,
% 49.87/32.49 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))),
% 49.87/32.49 inference(quant_intro,[status(thm)],[10967])).
% 49.87/32.49 tff(10969,plain,
% 49.87/32.49 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))),
% 49.87/32.49 inference(rewrite,[status(thm)],[])).
% 49.87/32.49 tff(10970,plain,
% 49.87/32.49 (^[V: $i, Y: $i, I0: $i, X: $i] : rewrite((((~m_processor_v_snoop(I0, Y, V)) | m_processor_v_snoop(I0, X, V)) | (~node44(I0, X, Y))) <=> (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y))))),
% 49.87/32.49 inference(bind,[status(th)],[])).
% 49.87/32.49 tff(10971,plain,
% 49.87/32.49 (![V: $i, Y: $i, I0: $i, X: $i] : (((~m_processor_v_snoop(I0, Y, V)) | m_processor_v_snoop(I0, X, V)) | (~node44(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))),
% 49.87/32.49 inference(quant_intro,[status(thm)],[10970])).
% 49.87/32.49 tff(10972,axiom,(![V: $i, Y: $i, I0: $i, X: $i] : (((~m_processor_v_snoop(I0, Y, V)) | m_processor_v_snoop(I0, X, V)) | (~node44(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_86')).
% 49.87/32.49 tff(10973,plain,
% 49.87/32.49 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))),
% 49.87/32.49 inference(modus_ponens,[status(thm)],[10972, 10971])).
% 49.87/32.49 tff(10974,plain,
% 49.87/32.49 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))),
% 49.87/32.49 inference(modus_ponens,[status(thm)],[10973, 10969])).
% 49.87/32.49 tff(10975,plain,(
% 49.87/32.49 ![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))),
% 49.87/32.49 inference(skolemize,[status(sab)],[10974])).
% 49.87/32.49 tff(10976,plain,
% 49.87/32.49 (![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))),
% 49.87/32.49 inference(modus_ponens,[status(thm)],[10975, 10968])).
% 49.87/32.49 tff(10977,plain,
% 49.87/32.49 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p0, s1, c_shared) | (~m_processor_v_snoop(c_p0, s2, c_shared)) | (~node44(c_p0, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p0, s1, c_shared) | (~m_processor_v_snoop(c_p0, s2, c_shared)) | (~node44(c_p0, s1, s2)))),
% 49.87/32.49 inference(rewrite,[status(thm)],[])).
% 49.87/32.49 tff(10978,plain,
% 49.87/32.49 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p0, s1, c_shared) | (~m_processor_v_snoop(c_p0, s2, c_shared)) | (~node44(c_p0, s1, s2)))),
% 49.87/32.49 inference(quant_inst,[status(thm)],[])).
% 49.87/32.49 tff(10979,plain,
% 49.87/32.49 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p0, s1, c_shared) | (~m_processor_v_snoop(c_p0, s2, c_shared)) | (~node44(c_p0, s1, s2))),
% 49.87/32.49 inference(modus_ponens,[status(thm)],[10978, 10977])).
% 49.87/32.49 tff(10980,plain,
% 49.87/32.49 ($false),
% 49.87/32.49 inference(unit_resolution,[status(thm)],[10979, 10976, 10964, 10966, 10965])).
% 49.87/32.49 tff(10981,plain,((~m_processor_v_snoop(c_p0, s2, c_shared)) | m_processor_v_snoop(c_p0, s1, c_shared) | (~node44(c_p0, s1, s2))), inference(lemma,lemma(discharge,[]))).
% 49.87/32.49 tff(10982,plain,
% 49.87/32.49 (~m_processor_v_snoop(c_p0, s2, c_shared)),
% 49.87/32.49 inference(unit_resolution,[status(thm)],[10981, 10965, 10964])).
% 49.87/32.49 tff(10983,assumption,(~m_processor_v_snoop(c_p0, s1, c_owned)), introduced(assumption)).
% 49.87/32.49 tff(10984,assumption,(m_processor_v_snoop(c_p0, s2, c_owned)), introduced(assumption)).
% 49.87/32.49 tff(10985,plain,
% 49.87/32.49 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p0, s1, c_owned) | (~m_processor_v_snoop(c_p0, s2, c_owned)) | (~node44(c_p0, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p0, s1, c_owned) | (~m_processor_v_snoop(c_p0, s2, c_owned)) | (~node44(c_p0, s1, s2)))),
% 49.87/32.49 inference(rewrite,[status(thm)],[])).
% 49.87/32.49 tff(10986,plain,
% 49.87/32.49 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p0, s1, c_owned) | (~m_processor_v_snoop(c_p0, s2, c_owned)) | (~node44(c_p0, s1, s2)))),
% 49.87/32.49 inference(quant_inst,[status(thm)],[])).
% 49.87/32.49 tff(10987,plain,
% 49.87/32.49 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p0, s1, c_owned) | (~m_processor_v_snoop(c_p0, s2, c_owned)) | (~node44(c_p0, s1, s2))),
% 49.87/32.49 inference(modus_ponens,[status(thm)],[10986, 10985])).
% 49.87/32.49 tff(10988,plain,
% 49.87/32.49 ($false),
% 49.87/32.49 inference(unit_resolution,[status(thm)],[10987, 10976, 10984, 10965, 10983])).
% 49.87/32.49 tff(10989,plain,((~m_processor_v_snoop(c_p0, s2, c_owned)) | (~node44(c_p0, s1, s2)) | m_processor_v_snoop(c_p0, s1, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.87/32.49 tff(10990,plain,
% 49.87/32.49 (~m_processor_v_snoop(c_p0, s2, c_owned)),
% 49.87/32.49 inference(unit_resolution,[status(thm)],[10989, 10965, 10983])).
% 49.87/32.49 tff(10991,plain,
% 49.87/32.49 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s2, c_invalid) | m_processor_v_snoop(c_p0, s2, c_shared) | m_processor_v_snoop(c_p0, s2, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p0, s2, c_invalid) | m_processor_v_snoop(c_p0, s2, c_shared) | m_processor_v_snoop(c_p0, s2, c_owned))),
% 49.87/32.49 inference(rewrite,[status(thm)],[])).
% 49.87/32.49 tff(10992,plain,
% 49.87/32.49 ((m_processor_v_snoop(c_p0, s2, c_shared) | m_processor_v_snoop(c_p0, s2, c_owned) | m_processor_v_snoop(c_p0, s2, c_invalid)) <=> (m_processor_v_snoop(c_p0, s2, c_invalid) | m_processor_v_snoop(c_p0, s2, c_shared) | m_processor_v_snoop(c_p0, s2, c_owned))),
% 49.87/32.49 inference(rewrite,[status(thm)],[])).
% 49.87/32.49 tff(10993,plain,
% 49.87/32.49 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s2, c_shared) | m_processor_v_snoop(c_p0, s2, c_owned) | m_processor_v_snoop(c_p0, s2, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s2, c_invalid) | m_processor_v_snoop(c_p0, s2, c_shared) | m_processor_v_snoop(c_p0, s2, c_owned)))),
% 49.87/32.49 inference(monotonicity,[status(thm)],[10992])).
% 49.87/32.49 tff(10994,plain,
% 49.87/32.49 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s2, c_shared) | m_processor_v_snoop(c_p0, s2, c_owned) | m_processor_v_snoop(c_p0, s2, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p0, s2, c_invalid) | m_processor_v_snoop(c_p0, s2, c_shared) | m_processor_v_snoop(c_p0, s2, c_owned))),
% 49.87/32.49 inference(transitivity,[status(thm)],[10993, 10991])).
% 49.87/32.49 tff(10995,plain,
% 49.87/32.49 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s2, c_shared) | m_processor_v_snoop(c_p0, s2, c_owned) | m_processor_v_snoop(c_p0, s2, c_invalid))),
% 49.87/32.49 inference(quant_inst,[status(thm)],[])).
% 49.87/32.49 tff(10996,plain,
% 49.87/32.49 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p0, s2, c_invalid) | m_processor_v_snoop(c_p0, s2, c_shared) | m_processor_v_snoop(c_p0, s2, c_owned)),
% 49.87/32.49 inference(modus_ponens,[status(thm)],[10995, 10994])).
% 49.87/32.49 tff(10997,plain,
% 49.87/32.49 (m_processor_v_snoop(c_p0, s2, c_invalid) | m_processor_v_snoop(c_p0, s2, c_shared) | m_processor_v_snoop(c_p0, s2, c_owned)),
% 49.87/32.49 inference(unit_resolution,[status(thm)],[10996, 7213])).
% 49.87/32.49 tff(10998,plain,
% 49.87/32.49 ($false),
% 49.87/32.49 inference(unit_resolution,[status(thm)],[10997, 10990, 10982, 10849])).
% 49.87/32.49 tff(10999,plain,((~node44(c_p0, s1, s2)) | m_processor_v_snoop(c_p0, s2, c_invalid) | m_processor_v_snoop(c_p0, s1, c_owned) | m_processor_v_snoop(c_p0, s1, c_shared)), inference(lemma,lemma(discharge,[]))).
% 49.87/32.49 tff(11000,plain,
% 49.87/32.49 (~node44(c_p0, s1, s2)),
% 49.87/32.49 inference(unit_resolution,[status(thm)],[10999, 10849, 10963, 10959])).
% 49.87/32.49 tff(11001,assumption,(~node40(c_p0, s1)), introduced(assumption)).
% 49.87/32.49 tff(11002,assumption,(~node41(c_p0, s1)), introduced(assumption)).
% 49.87/32.49 tff(11003,assumption,(~node44(c_p0, s1, s2)), introduced(assumption)).
% 49.87/32.49 tff(11004,plain,
% 49.87/32.49 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | (m_processor_v_master(c_p0, s1) | (~node43(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | m_processor_v_master(c_p0, s1) | (~node43(c_p0, s1)))),
% 49.87/32.49 inference(rewrite,[status(thm)],[])).
% 49.87/32.49 tff(11005,plain,
% 49.87/32.49 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | (m_processor_v_master(c_p0, s1) | (~node43(c_p0, s1)))),
% 49.87/32.49 inference(quant_inst,[status(thm)],[])).
% 49.87/32.49 tff(11006,plain,
% 49.87/32.49 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | m_processor_v_master(c_p0, s1) | (~node43(c_p0, s1))),
% 49.87/32.49 inference(modus_ponens,[status(thm)],[11005, 11004])).
% 49.87/32.49 tff(11007,plain,
% 49.87/32.49 (~node43(c_p0, s1)),
% 49.87/32.49 inference(unit_resolution,[status(thm)],[11006, 8159, 3259])).
% 49.87/32.49 tff(11008,plain,
% 49.87/32.49 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | (m_processor_v_master(c_p0, s1) | (~node42(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | m_processor_v_master(c_p0, s1) | (~node42(c_p0, s1)))),
% 49.87/32.49 inference(rewrite,[status(thm)],[])).
% 49.87/32.49 tff(11009,plain,
% 49.87/32.49 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | (m_processor_v_master(c_p0, s1) | (~node42(c_p0, s1)))),
% 49.87/32.49 inference(quant_inst,[status(thm)],[])).
% 49.87/32.49 tff(11010,plain,
% 49.87/32.49 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | m_processor_v_master(c_p0, s1) | (~node42(c_p0, s1))),
% 49.87/32.49 inference(modus_ponens,[status(thm)],[11009, 11008])).
% 49.87/32.49 tff(11011,plain,
% 49.87/32.49 (~node42(c_p0, s1)),
% 49.87/32.49 inference(unit_resolution,[status(thm)],[11010, 8170, 3259])).
% 49.87/32.49 tff(11012,plain,
% 49.87/32.49 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s1) | node41(c_p0, s1) | node40(c_p0, s1) | node43(c_p0, s1) | node42(c_p0, s1) | node44(c_p0, s1, s2) | (~node45(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p0, s1) | node41(c_p0, s1) | node40(c_p0, s1) | node43(c_p0, s1) | node42(c_p0, s1) | node44(c_p0, s1, s2) | (~node45(c_p0, s1, s2)))),
% 49.87/32.49 inference(rewrite,[status(thm)],[])).
% 49.87/32.49 tff(11013,plain,
% 49.87/32.49 ((m_processor_v_abort(c_p0, s1) | node40(c_p0, s1) | node41(c_p0, s1) | node42(c_p0, s1) | node43(c_p0, s1) | node44(c_p0, s1, s2) | (~node45(c_p0, s1, s2))) <=> (m_processor_v_abort(c_p0, s1) | node41(c_p0, s1) | node40(c_p0, s1) | node43(c_p0, s1) | node42(c_p0, s1) | node44(c_p0, s1, s2) | (~node45(c_p0, s1, s2)))),
% 49.87/32.49 inference(rewrite,[status(thm)],[])).
% 49.87/32.49 tff(11014,plain,
% 49.87/32.49 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s1) | node40(c_p0, s1) | node41(c_p0, s1) | node42(c_p0, s1) | node43(c_p0, s1) | node44(c_p0, s1, s2) | (~node45(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s1) | node41(c_p0, s1) | node40(c_p0, s1) | node43(c_p0, s1) | node42(c_p0, s1) | node44(c_p0, s1, s2) | (~node45(c_p0, s1, s2))))),
% 49.87/32.49 inference(monotonicity,[status(thm)],[11013])).
% 49.87/32.49 tff(11015,plain,
% 49.87/32.49 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s1) | node40(c_p0, s1) | node41(c_p0, s1) | node42(c_p0, s1) | node43(c_p0, s1) | node44(c_p0, s1, s2) | (~node45(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p0, s1) | node41(c_p0, s1) | node40(c_p0, s1) | node43(c_p0, s1) | node42(c_p0, s1) | node44(c_p0, s1, s2) | (~node45(c_p0, s1, s2)))),
% 49.87/32.49 inference(transitivity,[status(thm)],[11014, 11012])).
% 49.87/32.49 tff(11016,plain,
% 49.87/32.49 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s1) | node40(c_p0, s1) | node41(c_p0, s1) | node42(c_p0, s1) | node43(c_p0, s1) | node44(c_p0, s1, s2) | (~node45(c_p0, s1, s2)))),
% 49.87/32.49 inference(quant_inst,[status(thm)],[])).
% 49.87/32.49 tff(11017,plain,
% 49.87/32.49 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p0, s1) | node41(c_p0, s1) | node40(c_p0, s1) | node43(c_p0, s1) | node42(c_p0, s1) | node44(c_p0, s1, s2) | (~node45(c_p0, s1, s2))),
% 49.87/32.49 inference(modus_ponens,[status(thm)],[11016, 11015])).
% 49.87/32.49 tff(11018,plain,
% 49.87/32.49 (m_processor_v_abort(c_p0, s1) | node41(c_p0, s1) | node40(c_p0, s1) | node43(c_p0, s1) | node42(c_p0, s1) | node44(c_p0, s1, s2)),
% 49.87/32.49 inference(unit_resolution,[status(thm)],[11017, 7596, 10938])).
% 49.87/32.49 tff(11019,plain,
% 49.87/32.49 ($false),
% 49.87/32.49 inference(unit_resolution,[status(thm)],[11018, 11011, 11007, 11003, 11002, 11001, 3874])).
% 49.87/32.49 tff(11020,plain,(m_processor_v_master(c_p0, s1) | node44(c_p0, s1, s2) | node41(c_p0, s1) | node40(c_p0, s1) | m_processor_v_abort(c_p0, s1)), inference(lemma,lemma(discharge,[]))).
% 49.87/32.49 tff(11021,plain,
% 49.87/32.49 (m_processor_v_master(c_p0, s1)),
% 49.87/32.49 inference(unit_resolution,[status(thm)],[11020, 11000, 10955, 10951, 10946])).
% 49.87/32.49 tff(11022,plain,
% 49.87/32.49 (node34(c_p0, s1, s2)),
% 49.87/32.49 inference(unit_resolution,[status(thm)],[4875, 11021, 10946])).
% 49.87/32.49 tff(11023,plain,
% 49.87/32.49 (~node32(c_p0, s1, s2)),
% 49.87/32.49 inference(unit_resolution,[status(thm)],[3857, 3847, 3849])).
% 49.87/32.49 tff(11024,plain,
% 49.87/32.49 (~m_processor_v_abort(c_p0, s1)),
% 49.87/32.49 inference(unit_resolution,[status(thm)],[3871, 11023])).
% 49.87/32.49 tff(11025,plain,
% 49.87/32.49 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_invalid) | node41(c_p0, s1) | node40(c_p0, s1) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)) | (~node45(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_invalid) | node41(c_p0, s1) | node40(c_p0, s1) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)) | (~node45(c_p0, s1, s2)))),
% 49.87/32.49 inference(rewrite,[status(thm)],[])).
% 49.87/32.49 tff(11026,plain,
% 49.87/32.49 (((~m_processor_v_master(c_p0, s1)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s1) | node40(c_p0, s1) | node41(c_p0, s1) | (~node45(c_p0, s1, s2)) | m_processor_v_snoop(c_p0, s2, c_invalid)) <=> ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_invalid) | node41(c_p0, s1) | node40(c_p0, s1) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)) | (~node45(c_p0, s1, s2)))),
% 49.87/32.49 inference(rewrite,[status(thm)],[])).
% 49.87/32.49 tff(11027,plain,
% 49.87/32.49 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s1)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s1) | node40(c_p0, s1) | node41(c_p0, s1) | (~node45(c_p0, s1, s2)) | m_processor_v_snoop(c_p0, s2, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_invalid) | node41(c_p0, s1) | node40(c_p0, s1) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)) | (~node45(c_p0, s1, s2))))),
% 49.87/32.49 inference(monotonicity,[status(thm)],[11026])).
% 49.87/32.49 tff(11028,plain,
% 49.87/32.49 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s1)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s1) | node40(c_p0, s1) | node41(c_p0, s1) | (~node45(c_p0, s1, s2)) | m_processor_v_snoop(c_p0, s2, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_invalid) | node41(c_p0, s1) | node40(c_p0, s1) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)) | (~node45(c_p0, s1, s2)))),
% 49.87/32.49 inference(transitivity,[status(thm)],[11027, 11025])).
% 49.87/32.49 tff(11029,plain,
% 49.87/32.49 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s1)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s1) | node40(c_p0, s1) | node41(c_p0, s1) | (~node45(c_p0, s1, s2)) | m_processor_v_snoop(c_p0, s2, c_invalid))),
% 49.87/32.49 inference(quant_inst,[status(thm)],[])).
% 49.87/32.49 tff(11030,plain,
% 49.87/32.49 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_invalid) | node41(c_p0, s1) | node40(c_p0, s1) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)) | (~node45(c_p0, s1, s2))),
% 49.87/32.49 inference(modus_ponens,[status(thm)],[11029, 11028])).
% 49.87/32.49 tff(11031,plain,
% 49.87/32.49 ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_invalid) | node41(c_p0, s1) | node40(c_p0, s1) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid))),
% 49.87/32.49 inference(unit_resolution,[status(thm)],[11030, 7563, 10938])).
% 49.87/32.49 tff(11032,plain,
% 49.87/32.49 (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)),
% 49.87/32.49 inference(unit_resolution,[status(thm)],[11031, 11024, 10955, 10849, 5060, 10951])).
% 49.87/32.49 tff(11033,plain,
% 49.87/32.49 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | (m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | (~node42(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | (~node42(c_p0, s1)))),
% 49.87/32.49 inference(rewrite,[status(thm)],[])).
% 49.87/32.49 tff(11034,plain,
% 49.87/32.49 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | (m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | (~node42(c_p0, s1)))),
% 49.87/32.49 inference(quant_inst,[status(thm)],[])).
% 49.87/32.49 tff(11035,plain,
% 49.87/32.49 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | (~node42(c_p0, s1))),
% 49.87/32.49 inference(modus_ponens,[status(thm)],[11034, 11033])).
% 49.87/32.49 tff(11036,plain,
% 49.87/32.49 (~node42(c_p0, s1)),
% 49.87/32.49 inference(unit_resolution,[status(thm)],[11035, 7579, 11032])).
% 49.87/32.49 tff(11037,plain,
% 49.87/32.49 (node43(c_p0, s1)),
% 49.87/32.49 inference(unit_resolution,[status(thm)],[11018, 11036, 11003, 10955, 10951, 11024])).
% 49.87/32.49 tff(11038,plain,
% 49.87/32.49 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_invalid) | node41(c_p0, s1) | node40(c_p0, s1) | node42(c_p0, s1) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)) | (~node45(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_invalid) | node41(c_p0, s1) | node40(c_p0, s1) | node42(c_p0, s1) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)) | (~node45(c_p0, s1, s2)))),
% 49.87/32.50 inference(rewrite,[status(thm)],[])).
% 49.87/32.50 tff(11039,plain,
% 49.87/32.50 (((~m_processor_v_master(c_p0, s1)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s1) | node40(c_p0, s1) | node41(c_p0, s1) | node42(c_p0, s1) | (~node45(c_p0, s1, s2)) | m_processor_v_snoop(c_p0, s2, c_invalid)) <=> ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_invalid) | node41(c_p0, s1) | node40(c_p0, s1) | node42(c_p0, s1) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)) | (~node45(c_p0, s1, s2)))),
% 49.87/32.50 inference(rewrite,[status(thm)],[])).
% 49.87/32.50 tff(11040,plain,
% 49.87/32.50 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s1)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s1) | node40(c_p0, s1) | node41(c_p0, s1) | node42(c_p0, s1) | (~node45(c_p0, s1, s2)) | m_processor_v_snoop(c_p0, s2, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_invalid) | node41(c_p0, s1) | node40(c_p0, s1) | node42(c_p0, s1) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)) | (~node45(c_p0, s1, s2))))),
% 49.87/32.50 inference(monotonicity,[status(thm)],[11039])).
% 49.87/32.50 tff(11041,plain,
% 49.87/32.50 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s1)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s1) | node40(c_p0, s1) | node41(c_p0, s1) | node42(c_p0, s1) | (~node45(c_p0, s1, s2)) | m_processor_v_snoop(c_p0, s2, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_invalid) | node41(c_p0, s1) | node40(c_p0, s1) | node42(c_p0, s1) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)) | (~node45(c_p0, s1, s2)))),
% 49.87/32.50 inference(transitivity,[status(thm)],[11040, 11038])).
% 49.87/32.50 tff(11042,plain,
% 49.87/32.50 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s1)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s1) | node40(c_p0, s1) | node41(c_p0, s1) | node42(c_p0, s1) | (~node45(c_p0, s1, s2)) | m_processor_v_snoop(c_p0, s2, c_invalid))),
% 49.87/32.50 inference(quant_inst,[status(thm)],[])).
% 49.87/32.50 tff(11043,plain,
% 49.87/32.50 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_invalid) | node41(c_p0, s1) | node40(c_p0, s1) | node42(c_p0, s1) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)) | (~node45(c_p0, s1, s2))),
% 49.87/32.50 inference(modus_ponens,[status(thm)],[11042, 11041])).
% 49.87/32.50 tff(11044,plain,
% 49.87/32.50 ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_invalid) | node41(c_p0, s1) | node40(c_p0, s1) | node42(c_p0, s1) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared))),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[11043, 7615, 10938])).
% 49.87/32.50 tff(11045,plain,
% 49.87/32.50 (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[11044, 11036, 10849, 11024, 5060, 10951, 10955])).
% 49.87/32.50 tff(11046,plain,
% 49.87/32.50 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared) | (~node43(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared) | (~node43(c_p0, s1)))),
% 49.87/32.50 inference(rewrite,[status(thm)],[])).
% 49.87/32.50 tff(11047,plain,
% 49.87/32.50 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared) | (~node43(c_p0, s1)))),
% 49.87/32.50 inference(quant_inst,[status(thm)],[])).
% 49.87/32.50 tff(11048,plain,
% 49.87/32.50 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared) | (~node43(c_p0, s1))),
% 49.87/32.50 inference(modus_ponens,[status(thm)],[11047, 11046])).
% 49.87/32.50 tff(11049,plain,
% 49.87/32.50 ($false),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[11048, 7631, 11045, 11037])).
% 49.87/32.50 tff(11050,plain,(m_processor_v_state(c_p0, s2, c_invalid) | node44(c_p0, s1, s2) | m_processor_v_snoop(c_p0, s2, c_invalid) | (~m_processor_v_state(c_p0, s1, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 49.87/32.50 tff(11051,plain,
% 49.87/32.50 (m_processor_v_state(c_p0, s2, c_invalid)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[11050, 11000, 10849, 3849])).
% 49.87/32.50 tff(11052,plain,
% 49.87/32.50 (~m_processor_v_state(c_p0, s2, c_owned)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[2779, 137, 11051])).
% 49.87/32.50 tff(11053,plain,
% 49.87/32.50 (~m_processor_v_state(c_p0, s2, c_shared)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[8392, 11051])).
% 49.87/32.50 tff(11054,plain,
% 49.87/32.50 (m_main_v_CMD(s1, c_read_h_owned)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[5027, 11021, 3849, 11053, 10946])).
% 49.87/32.50 tff(11055,plain,
% 49.87/32.50 (m_processor_v_CMD(c_p0, s1, c_read_h_owned)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[4915, 11054])).
% 49.87/32.50 tff(11056,plain,
% 49.87/32.50 (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[5017, 11022, 11053])).
% 49.87/32.50 tff(11057,plain,
% 49.87/32.50 ($false),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[4926, 11056, 11055, 11052, 11022])).
% 49.87/32.50 tff(11058,plain,(m_processor_v_snoop(c_p0, s2, c_invalid) | (~m_processor_v_state(c_p0, s1, c_invalid)) | (~m_processor_v_snoop(c_p0, s1, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 49.87/32.50 tff(11059,plain,
% 49.87/32.50 ($false),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[11058, 10921, 3846, 10849])).
% 49.87/32.50 tff(11060,plain,(m_processor_v_state(c_p1, s2, c_invalid) | m_processor_v_snoop(c_p0, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.87/32.50 tff(11061,plain,
% 49.87/32.50 (m_processor_v_state(c_p1, s2, c_invalid)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[11060, 10849])).
% 49.87/32.50 tff(11062,plain,
% 49.87/32.50 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~node41(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~node41(c_p0, s1)))),
% 49.87/32.50 inference(rewrite,[status(thm)],[])).
% 49.87/32.50 tff(11063,plain,
% 49.87/32.50 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~node41(c_p0, s1)))),
% 49.87/32.50 inference(quant_inst,[status(thm)],[])).
% 49.87/32.50 tff(11064,plain,
% 49.87/32.50 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~node41(c_p0, s1))),
% 49.87/32.50 inference(modus_ponens,[status(thm)],[11063, 11062])).
% 49.87/32.50 tff(11065,plain,
% 49.87/32.50 (~node41(c_p0, s1)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[11064, 8378, 4917])).
% 49.87/32.50 tff(11066,plain,
% 49.87/32.50 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~node40(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~node40(c_p0, s1)))),
% 49.87/32.50 inference(rewrite,[status(thm)],[])).
% 49.87/32.50 tff(11067,plain,
% 49.87/32.50 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~node40(c_p0, s1)))),
% 49.87/32.50 inference(quant_inst,[status(thm)],[])).
% 49.87/32.50 tff(11068,plain,
% 49.87/32.50 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~node40(c_p0, s1))),
% 49.87/32.50 inference(modus_ponens,[status(thm)],[11067, 11066])).
% 49.87/32.50 tff(11069,plain,
% 49.87/32.50 (~node40(c_p0, s1)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[11068, 8367, 4917])).
% 49.87/32.50 tff(11070,plain,
% 49.87/32.50 (~m_processor_v_abort(c_p0, s0)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[10896, 10913])).
% 49.87/32.50 tff(11071,plain,
% 49.87/32.50 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (node41(c_p0, s0) | node40(c_p0, s0) | (~m_processor_v_master(c_p0, s0)) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)) | (~node45(c_p0, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | node41(c_p0, s0) | node40(c_p0, s0) | (~m_processor_v_master(c_p0, s0)) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)) | (~node45(c_p0, s0, s1)))),
% 49.87/32.50 inference(rewrite,[status(thm)],[])).
% 49.87/32.50 tff(11072,plain,
% 49.87/32.50 (((~m_processor_v_master(c_p0, s0)) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s0) | node40(c_p0, s0) | node41(c_p0, s0) | (~node45(c_p0, s0, s1)) | m_processor_v_snoop(c_p0, s1, c_invalid)) <=> (node41(c_p0, s0) | node40(c_p0, s0) | (~m_processor_v_master(c_p0, s0)) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)) | (~node45(c_p0, s0, s1)))),
% 49.87/32.50 inference(rewrite,[status(thm)],[])).
% 49.87/32.50 tff(11073,plain,
% 49.87/32.50 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s0)) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s0) | node40(c_p0, s0) | node41(c_p0, s0) | (~node45(c_p0, s0, s1)) | m_processor_v_snoop(c_p0, s1, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (node41(c_p0, s0) | node40(c_p0, s0) | (~m_processor_v_master(c_p0, s0)) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)) | (~node45(c_p0, s0, s1))))),
% 49.87/32.50 inference(monotonicity,[status(thm)],[11072])).
% 49.87/32.50 tff(11074,plain,
% 49.87/32.50 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s0)) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s0) | node40(c_p0, s0) | node41(c_p0, s0) | (~node45(c_p0, s0, s1)) | m_processor_v_snoop(c_p0, s1, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | node41(c_p0, s0) | node40(c_p0, s0) | (~m_processor_v_master(c_p0, s0)) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)) | (~node45(c_p0, s0, s1)))),
% 49.87/32.50 inference(transitivity,[status(thm)],[11073, 11071])).
% 49.87/32.50 tff(11075,plain,
% 49.87/32.50 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s0)) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s0) | node40(c_p0, s0) | node41(c_p0, s0) | (~node45(c_p0, s0, s1)) | m_processor_v_snoop(c_p0, s1, c_invalid))),
% 49.87/32.50 inference(quant_inst,[status(thm)],[])).
% 49.87/32.50 tff(11076,plain,
% 49.87/32.50 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | node41(c_p0, s0) | node40(c_p0, s0) | (~m_processor_v_master(c_p0, s0)) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)) | (~node45(c_p0, s0, s1))),
% 49.87/32.50 inference(modus_ponens,[status(thm)],[11075, 11074])).
% 49.87/32.50 tff(11077,plain,
% 49.87/32.50 ((~m_processor_v_master(c_p0, s0)) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid))),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[11076, 7563, 10881, 10877, 10873])).
% 49.87/32.50 tff(11078,plain,
% 49.87/32.50 (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[11077, 11070, 10850, 10908])).
% 49.87/32.50 tff(11079,plain,
% 49.87/32.50 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | (m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | (~node42(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | (~node42(c_p0, s0)))),
% 49.87/32.50 inference(rewrite,[status(thm)],[])).
% 49.87/32.50 tff(11080,plain,
% 49.87/32.50 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | (m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | (~node42(c_p0, s0)))),
% 49.87/32.50 inference(quant_inst,[status(thm)],[])).
% 49.87/32.50 tff(11081,plain,
% 49.87/32.50 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_invalid) | (~node42(c_p0, s0))),
% 49.87/32.50 inference(modus_ponens,[status(thm)],[11080, 11079])).
% 49.87/32.50 tff(11082,plain,
% 49.87/32.50 (~node42(c_p0, s0)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[11081, 7579, 11078])).
% 49.87/32.50 tff(11083,plain,
% 49.87/32.50 (node43(c_p0, s0)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[10905, 11082, 10850])).
% 49.87/32.50 tff(11084,plain,
% 49.87/32.50 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (node41(c_p0, s0) | node40(c_p0, s0) | (~m_processor_v_master(c_p0, s0)) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)) | node42(c_p0, s0) | (~node45(c_p0, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | node41(c_p0, s0) | node40(c_p0, s0) | (~m_processor_v_master(c_p0, s0)) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)) | node42(c_p0, s0) | (~node45(c_p0, s0, s1)))),
% 49.87/32.50 inference(rewrite,[status(thm)],[])).
% 49.87/32.50 tff(11085,plain,
% 49.87/32.50 (((~m_processor_v_master(c_p0, s0)) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s0) | node40(c_p0, s0) | node41(c_p0, s0) | node42(c_p0, s0) | (~node45(c_p0, s0, s1)) | m_processor_v_snoop(c_p0, s1, c_invalid)) <=> (node41(c_p0, s0) | node40(c_p0, s0) | (~m_processor_v_master(c_p0, s0)) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)) | node42(c_p0, s0) | (~node45(c_p0, s0, s1)))),
% 49.87/32.50 inference(rewrite,[status(thm)],[])).
% 49.87/32.50 tff(11086,plain,
% 49.87/32.50 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s0)) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s0) | node40(c_p0, s0) | node41(c_p0, s0) | node42(c_p0, s0) | (~node45(c_p0, s0, s1)) | m_processor_v_snoop(c_p0, s1, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (node41(c_p0, s0) | node40(c_p0, s0) | (~m_processor_v_master(c_p0, s0)) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)) | node42(c_p0, s0) | (~node45(c_p0, s0, s1))))),
% 49.87/32.50 inference(monotonicity,[status(thm)],[11085])).
% 49.87/32.50 tff(11087,plain,
% 49.87/32.50 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s0)) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s0) | node40(c_p0, s0) | node41(c_p0, s0) | node42(c_p0, s0) | (~node45(c_p0, s0, s1)) | m_processor_v_snoop(c_p0, s1, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | node41(c_p0, s0) | node40(c_p0, s0) | (~m_processor_v_master(c_p0, s0)) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)) | node42(c_p0, s0) | (~node45(c_p0, s0, s1)))),
% 49.87/32.50 inference(transitivity,[status(thm)],[11086, 11084])).
% 49.87/32.50 tff(11088,plain,
% 49.87/32.50 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s0)) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s0) | node40(c_p0, s0) | node41(c_p0, s0) | node42(c_p0, s0) | (~node45(c_p0, s0, s1)) | m_processor_v_snoop(c_p0, s1, c_invalid))),
% 49.87/32.50 inference(quant_inst,[status(thm)],[])).
% 49.87/32.50 tff(11089,plain,
% 49.87/32.50 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | node41(c_p0, s0) | node40(c_p0, s0) | (~m_processor_v_master(c_p0, s0)) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)) | node42(c_p0, s0) | (~node45(c_p0, s0, s1))),
% 49.87/32.50 inference(modus_ponens,[status(thm)],[11088, 11087])).
% 49.87/32.50 tff(11090,plain,
% 49.87/32.50 ((~m_processor_v_master(c_p0, s0)) | m_processor_v_snoop(c_p0, s1, c_invalid) | m_processor_v_abort(c_p0, s0) | (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)) | node42(c_p0, s0)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[11089, 7615, 10881, 10877, 10873])).
% 49.87/32.50 tff(11091,plain,
% 49.87/32.50 (~m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[11090, 11082, 10850, 10908, 11070])).
% 49.87/32.50 tff(11092,plain,
% 49.87/32.50 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared) | (~node43(c_p0, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared) | (~node43(c_p0, s0)))),
% 49.87/32.50 inference(rewrite,[status(thm)],[])).
% 49.87/32.50 tff(11093,plain,
% 49.87/32.50 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared) | (~node43(c_p0, s0)))),
% 49.87/32.50 inference(quant_inst,[status(thm)],[])).
% 49.87/32.50 tff(11094,plain,
% 49.87/32.50 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | m_processor_v_CMD(c_p0, s0, c_write_h_resp_h_shared) | (~node43(c_p0, s0))),
% 49.87/32.50 inference(modus_ponens,[status(thm)],[11093, 11092])).
% 49.87/32.50 tff(11095,plain,
% 49.87/32.50 ($false),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[11094, 7631, 11091, 11083])).
% 49.87/32.50 tff(11096,plain,(m_processor_v_snoop(c_p0, s1, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.87/32.50 tff(11097,plain,
% 49.87/32.50 (~m_processor_v_snoop(c_p0, s1, c_shared)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[10958, 4096, 11096])).
% 49.87/32.50 tff(11098,plain,
% 49.87/32.50 (~m_processor_v_snoop(c_p0, s1, c_owned)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[10962, 4071, 11096])).
% 49.87/32.50 tff(11099,plain,
% 49.87/32.50 (~node44(c_p0, s1, s2)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[10999, 10849, 11098, 11097])).
% 49.87/32.50 tff(11100,plain,
% 49.87/32.50 (~node39(c_p0, s1, s2)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[10931, 10849, 11096])).
% 49.87/32.50 tff(11101,plain,
% 49.87/32.50 (~m_processor_v_abort(c_p0, s1)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[10945, 11100])).
% 49.87/32.50 tff(11102,plain,
% 49.87/32.50 (m_processor_v_master(c_p0, s1)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[11020, 11065, 11101, 11099, 11069])).
% 49.87/32.50 tff(11103,plain,
% 49.87/32.50 (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[11031, 11102, 10849, 11065, 11101, 11069])).
% 49.87/32.50 tff(11104,assumption,(node42(c_p0, s1)), introduced(assumption)).
% 49.87/32.50 tff(11105,assumption,(~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)), introduced(assumption)).
% 49.87/32.50 tff(11106,plain,
% 49.87/32.50 ($false),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[11035, 7579, 11105, 11104])).
% 49.87/32.50 tff(11107,plain,((~node42(c_p0, s1)) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.87/32.50 tff(11108,plain,
% 49.87/32.50 (~node42(c_p0, s1)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[11107, 11103])).
% 49.87/32.50 tff(11109,plain,
% 49.87/32.50 (node43(c_p0, s1)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[11018, 11108, 11101, 11099, 11069, 11065])).
% 49.87/32.50 tff(11110,plain,
% 49.87/32.50 (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[11044, 11108, 10849, 11101, 11102, 11069, 11065])).
% 49.87/32.50 tff(11111,plain,
% 49.87/32.50 ($false),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[11048, 7631, 11110, 11109])).
% 49.87/32.50 tff(11112,plain,(m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_snoop(c_p0, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.87/32.50 tff(11113,plain,
% 49.87/32.50 (m_processor_v_CMD(c_p0, s1, c_read_h_shared)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[11112, 10849])).
% 49.87/32.50 tff(11114,plain,
% 49.87/32.50 ($false),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[4933, 1612, 4907, 3300, 5009])).
% 49.87/32.50 tff(11115,plain,((~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | m_main_v_CMD(s1, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.87/32.50 tff(11116,plain,
% 49.87/32.50 (m_main_v_CMD(s1, c_read_h_shared)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[11115, 11113])).
% 49.87/32.50 tff(11117,plain,
% 49.87/32.50 (~m_processor_v_state(c_p0, s1, c_invalid)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[11058, 10849, 11096])).
% 49.87/32.50 tff(11118,plain,
% 49.87/32.50 (m_memory_v_master(c_m, s0)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[4513, 7802, 3978, 4467])).
% 49.87/32.50 tff(11119,plain,
% 49.87/32.50 (node17(s0)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[3976, 11118])).
% 49.87/32.50 tff(11120,plain,
% 49.87/32.50 ($false),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[2883, 1275, 2847, 11119])).
% 49.87/32.50 tff(11121,plain,(m_processor_v_state(c_p0, s1, c_invalid) | m_memory_v_busy(c_m, s1) | node20(c_m, s0)), inference(lemma,lemma(discharge,[]))).
% 49.87/32.50 tff(11122,plain,
% 49.87/32.50 (node20(c_m, s0)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[11121, 3978, 2782])).
% 49.87/32.50 tff(11123,plain,
% 49.87/32.50 (~m_memory_v_CMD(c_m, s0, c_read_h_owned)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[4228, 4225, 11122])).
% 49.87/32.50 tff(11124,plain,
% 49.87/32.50 (m_main_v_CMD(s0, c_read_h_shared)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[3029, 2847, 2879])).
% 49.87/32.50 tff(11125,plain,
% 49.87/32.50 (m_memory_v_CMD(c_m, s0, c_read_h_shared)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[4212, 11124])).
% 49.87/32.50 tff(11126,plain,
% 49.87/32.50 (~node20(c_m, s0)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[4184, 11125])).
% 49.87/32.50 tff(11127,plain,
% 49.87/32.50 (m_memory_v_master(c_m, s0)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[4513, 11126, 3978, 7802])).
% 49.87/32.50 tff(11128,plain,
% 49.87/32.50 (node17(s0)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[3976, 11127])).
% 49.87/32.50 tff(11129,plain,
% 49.87/32.50 ($false),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[2883, 1275, 2847, 11128])).
% 49.87/32.50 tff(11130,plain,(m_processor_v_state(c_p0, s1, c_invalid) | m_memory_v_busy(c_m, s1) | m_main_v_CMD(s0, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.87/32.50 tff(11131,plain,
% 49.87/32.50 (m_main_v_CMD(s0, c_read_h_owned)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[11130, 3978, 2782])).
% 49.87/32.50 tff(11132,plain,
% 49.87/32.50 ($false),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[4232, 4207, 4197, 11131, 11123])).
% 49.87/32.50 tff(11133,plain,(m_memory_v_busy(c_m, s1) | m_processor_v_state(c_p0, s1, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.87/32.50 tff(11134,plain,
% 49.87/32.50 (m_memory_v_busy(c_m, s1)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[11133, 11117])).
% 49.87/32.50 tff(11135,plain,
% 49.87/32.50 (node60(c_p0, s1)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[3879, 11101])).
% 49.87/32.50 tff(11136,plain,
% 49.87/32.50 (~m_processor_v_REPLY_h_STALL(c_p0, s1)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[3887, 3881])).
% 49.87/32.50 tff(11137,plain,
% 49.87/32.50 (~m_main_v_REPLY_h_STALL(s1)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[3895, 11136])).
% 49.87/32.50 tff(11138,plain,
% 49.87/32.50 (~m_processor_v_REPLY_h_STALL(c_p1, s1)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[8887, 11137])).
% 49.87/32.50 tff(11139,plain,
% 49.87/32.50 (node61(c_p1, s1)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[8895, 11138, 8890])).
% 49.87/32.50 tff(11140,plain,
% 49.87/32.50 (node7(s1)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[3910, 11137])).
% 49.87/32.50 tff(11141,plain,
% 49.87/32.50 (~m_memory_v_reply_h_stall(c_m, s1)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[3928, 11140])).
% 49.87/32.50 tff(11142,plain,
% 49.87/32.50 (node30(c_m, s1)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[4827, 11141, 4809])).
% 49.87/32.50 tff(11143,plain,
% 49.87/32.50 (~m_memory_v_CMD(c_m, s1, c_read_h_owned)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[5070, 11142])).
% 49.87/32.50 tff(11144,plain,
% 49.87/32.50 (~m_main_v_CMD(s1, c_read_h_owned)),
% 49.87/32.50 inference(unit_resolution,[status(thm)],[5034, 11143])).
% 49.87/32.50 tff(11145,plain,
% 49.87/32.50 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s1, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~node3(s1)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s1, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~node3(s1)))),
% 49.87/32.51 inference(rewrite,[status(thm)],[])).
% 49.87/32.51 tff(11146,plain,
% 49.87/32.51 ((m_main_v_CMD(s1, c_read_h_owned) | (~node3(s1)) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned))) <=> (m_main_v_CMD(s1, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~node3(s1)))),
% 49.87/32.51 inference(rewrite,[status(thm)],[])).
% 49.87/32.51 tff(11147,plain,
% 49.87/32.51 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s1, c_read_h_owned) | (~node3(s1)) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s1, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~node3(s1))))),
% 49.87/32.51 inference(monotonicity,[status(thm)],[11146])).
% 49.87/32.51 tff(11148,plain,
% 49.87/32.51 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s1, c_read_h_owned) | (~node3(s1)) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s1, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~node3(s1)))),
% 49.87/32.51 inference(transitivity,[status(thm)],[11147, 11145])).
% 49.87/32.51 tff(11149,plain,
% 49.87/32.51 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s1, c_read_h_owned) | (~node3(s1)) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)))),
% 49.87/32.51 inference(quant_inst,[status(thm)],[])).
% 49.87/32.51 tff(11150,plain,
% 49.87/32.51 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s1, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | (~node3(s1))),
% 49.87/32.51 inference(modus_ponens,[status(thm)],[11149, 11148])).
% 49.87/32.51 tff(11151,plain,
% 49.87/32.51 ($false),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[11150, 1260, 3245, 3376, 8562])).
% 49.87/32.51 tff(11152,plain,((~m_processor_v_CMD(c_p1, s1, c_read_h_owned)) | m_main_v_CMD(s1, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.87/32.51 tff(11153,plain,
% 49.87/32.51 (~m_processor_v_CMD(c_p1, s1, c_read_h_owned)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[11152, 11144])).
% 49.87/32.51 tff(11154,plain,
% 49.87/32.51 (m_processor_v_REPLY_h_WAITING(c_p1, s1)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[8876, 11139])).
% 49.87/32.51 tff(11155,plain,
% 49.87/32.51 (m_main_v_REPLY_h_WAITING(s1)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[8869, 11154])).
% 49.87/32.51 tff(11156,plain,
% 49.87/32.51 (m_processor_v_REPLY_h_WAITING(c_p0, s1)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[8863, 11155])).
% 49.87/32.51 tff(11157,assumption,(~node59(c_p0, s1)), introduced(assumption)).
% 49.87/32.51 tff(11158,plain,
% 49.87/32.51 ($false),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[8854, 724, 8848, 3881, 11157])).
% 49.87/32.51 tff(11159,plain,(node59(c_p0, s1) | (~m_processor_v_REPLY_h_WAITING(c_p0, s1)) | (~node60(c_p0, s1))), inference(lemma,lemma(discharge,[]))).
% 49.87/32.51 tff(11160,plain,
% 49.87/32.51 (node59(c_p0, s1)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[11159, 11156, 3881])).
% 49.87/32.51 tff(11161,plain,
% 49.87/32.51 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node59(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node59(c_p0, s1)))),
% 49.87/32.51 inference(rewrite,[status(thm)],[])).
% 49.87/32.51 tff(11162,plain,
% 49.87/32.51 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node59(c_p0, s1)))),
% 49.87/32.51 inference(quant_inst,[status(thm)],[])).
% 49.87/32.51 tff(11163,plain,
% 49.87/32.51 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node59(c_p0, s1))),
% 49.87/32.51 inference(modus_ponens,[status(thm)],[11162, 11161])).
% 49.87/32.51 tff(11164,plain,
% 49.87/32.51 (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[11163, 3834, 11160])).
% 49.87/32.51 tff(11165,plain,
% 49.87/32.51 (~m_main_v_CMD(s1, c_read_h_shared)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[5024, 1228, 4907, 11164])).
% 49.87/32.51 tff(11166,plain,
% 49.87/32.51 (~m_processor_v_CMD(c_p1, s1, c_read_h_shared)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[8190, 1260, 3245, 11165])).
% 49.87/32.51 tff(11167,plain,
% 49.87/32.51 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | ((~node61(c_p1, s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared) | m_processor_v_CMD(c_p1, s1, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (~node61(c_p1, s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared) | m_processor_v_CMD(c_p1, s1, c_read_h_owned))),
% 49.87/32.51 inference(rewrite,[status(thm)],[])).
% 49.87/32.51 tff(11168,plain,
% 49.87/32.51 ((m_processor_v_CMD(c_p1, s1, c_read_h_shared) | m_processor_v_CMD(c_p1, s1, c_read_h_owned) | (~node61(c_p1, s1))) <=> ((~node61(c_p1, s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared) | m_processor_v_CMD(c_p1, s1, c_read_h_owned))),
% 49.87/32.51 inference(rewrite,[status(thm)],[])).
% 49.87/32.51 tff(11169,plain,
% 49.87/32.51 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p1, s1, c_read_h_shared) | m_processor_v_CMD(c_p1, s1, c_read_h_owned) | (~node61(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | ((~node61(c_p1, s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared) | m_processor_v_CMD(c_p1, s1, c_read_h_owned)))),
% 49.87/32.51 inference(monotonicity,[status(thm)],[11168])).
% 49.87/32.51 tff(11170,plain,
% 49.87/32.51 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p1, s1, c_read_h_shared) | m_processor_v_CMD(c_p1, s1, c_read_h_owned) | (~node61(c_p1, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (~node61(c_p1, s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared) | m_processor_v_CMD(c_p1, s1, c_read_h_owned))),
% 49.87/32.51 inference(transitivity,[status(thm)],[11169, 11167])).
% 49.87/32.51 tff(11171,plain,
% 49.87/32.51 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p1, s1, c_read_h_shared) | m_processor_v_CMD(c_p1, s1, c_read_h_owned) | (~node61(c_p1, s1)))),
% 49.87/32.51 inference(quant_inst,[status(thm)],[])).
% 49.87/32.51 tff(11172,plain,
% 49.87/32.51 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (~node61(c_p1, s1)) | m_processor_v_CMD(c_p1, s1, c_read_h_shared) | m_processor_v_CMD(c_p1, s1, c_read_h_owned)),
% 49.87/32.51 inference(modus_ponens,[status(thm)],[11171, 11170])).
% 49.87/32.51 tff(11173,plain,
% 49.87/32.51 ($false),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[11172, 2268, 11166, 11153, 11139])).
% 49.87/32.51 tff(11174,plain,((~node60(c_p0, s1)) | (~m_memory_v_busy(c_m, s1)) | (~m_processor_v_abort(c_p1, s1))), inference(lemma,lemma(discharge,[]))).
% 49.87/32.51 tff(11175,plain,
% 49.87/32.51 (~m_processor_v_abort(c_p1, s1)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[11174, 11135, 11134])).
% 49.87/32.51 tff(11176,plain,
% 49.87/32.51 (m_processor_v_CMD(c_p1, s1, c_read_h_shared)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[3253, 11116])).
% 49.87/32.51 tff(11177,plain,
% 49.87/32.51 (~node34(c_p1, s1, s2)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[3238, 11176, 3110])).
% 49.87/32.51 tff(11178,plain,
% 49.87/32.51 (~m_processor_v_master(c_p1, s1)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[3224, 11177, 11175])).
% 49.87/32.51 tff(11179,plain,
% 49.87/32.51 (m_processor_v_cmd(c_p1, s1, c_idle)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[3335, 11178])).
% 49.87/32.51 tff(11180,plain,
% 49.87/32.51 (~m_processor_v_cmd(c_p0, s1, c_idle)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[8358, 11179, 11116])).
% 49.87/32.51 tff(11181,plain,
% 49.87/32.51 (m_processor_v_master(c_p0, s1)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[3298, 11180])).
% 49.87/32.51 tff(11182,plain,
% 49.87/32.51 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))) | ((~m_processor_v_master(c_p0, s1)) | (~node41(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))) | (~m_processor_v_master(c_p0, s1)) | (~node41(c_p0, s1)))),
% 49.87/32.51 inference(rewrite,[status(thm)],[])).
% 49.87/32.51 tff(11183,plain,
% 49.87/32.51 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))) | ((~m_processor_v_master(c_p0, s1)) | (~node41(c_p0, s1)))),
% 49.87/32.51 inference(quant_inst,[status(thm)],[])).
% 49.87/32.51 tff(11184,plain,
% 49.87/32.51 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))) | (~m_processor_v_master(c_p0, s1)) | (~node41(c_p0, s1))),
% 49.87/32.51 inference(modus_ponens,[status(thm)],[11183, 11182])).
% 49.87/32.51 tff(11185,plain,
% 49.87/32.51 (~node41(c_p0, s1)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[11184, 8080, 11181])).
% 49.87/32.51 tff(11186,plain,
% 49.87/32.51 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))) | ((~m_processor_v_master(c_p0, s1)) | (~node40(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))) | (~m_processor_v_master(c_p0, s1)) | (~node40(c_p0, s1)))),
% 49.87/32.51 inference(rewrite,[status(thm)],[])).
% 49.87/32.51 tff(11187,plain,
% 49.87/32.51 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))) | ((~m_processor_v_master(c_p0, s1)) | (~node40(c_p0, s1)))),
% 49.87/32.51 inference(quant_inst,[status(thm)],[])).
% 49.87/32.51 tff(11188,plain,
% 49.87/32.51 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))) | (~m_processor_v_master(c_p0, s1)) | (~node40(c_p0, s1))),
% 49.87/32.51 inference(modus_ponens,[status(thm)],[11187, 11186])).
% 49.87/32.51 tff(11189,plain,
% 49.87/32.51 (~node40(c_p0, s1)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[11188, 8069, 11181])).
% 49.87/32.51 tff(11190,plain,
% 49.87/32.51 (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[11031, 11185, 10849, 11181, 11101, 11189])).
% 49.87/32.51 tff(11191,plain,
% 49.87/32.51 (~node42(c_p0, s1)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[11107, 11190])).
% 49.87/32.51 tff(11192,plain,
% 49.87/32.51 (node43(c_p0, s1)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[11018, 11191, 11101, 11099, 11189, 11185])).
% 49.87/32.51 tff(11193,plain,
% 49.87/32.51 (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[11044, 11191, 10849, 11101, 11181, 11189, 11185])).
% 49.87/32.51 tff(11194,plain,
% 49.87/32.51 ($false),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[11048, 7631, 11193, 11192])).
% 49.87/32.51 tff(11195,plain,(m_processor_v_snoop(c_p0, s2, c_invalid) | m_processor_v_state(c_p1, s2, c_shared)), inference(lemma,lemma(discharge,[]))).
% 49.87/32.51 tff(11196,plain,
% 49.87/32.51 (m_processor_v_state(c_p1, s2, c_shared)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[11195, 10849])).
% 49.87/32.51 tff(11197,plain,
% 49.87/32.51 ($false),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[5081, 11196, 11061])).
% 49.87/32.51 tff(11198,plain,(m_processor_v_snoop(c_p0, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.87/32.51 tff(11199,plain,
% 49.87/32.51 (((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | ((~m_processor_v_snoop(c_p0, s2, c_invalid)) | (~m_processor_v_snoop(c_p0, s2, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | (~m_processor_v_snoop(c_p0, s2, c_invalid)) | (~m_processor_v_snoop(c_p0, s2, c_owned)))),
% 49.87/32.51 inference(rewrite,[status(thm)],[])).
% 49.87/32.51 tff(11200,plain,
% 49.87/32.51 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | ((~m_processor_v_snoop(c_p0, s2, c_invalid)) | (~m_processor_v_snoop(c_p0, s2, c_owned)))),
% 49.87/32.51 inference(quant_inst,[status(thm)],[])).
% 49.87/32.51 tff(11201,plain,
% 49.87/32.51 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | (~m_processor_v_snoop(c_p0, s2, c_invalid)) | (~m_processor_v_snoop(c_p0, s2, c_owned))),
% 49.87/32.51 inference(modus_ponens,[status(thm)],[11200, 11199])).
% 49.87/32.51 tff(11202,plain,
% 49.87/32.51 (~m_processor_v_snoop(c_p0, s2, c_owned)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[11201, 4071, 11198])).
% 49.87/32.51 tff(11203,plain,
% 49.87/32.51 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p0, s2, c_owned) | (~node64(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p0, s2, c_owned) | (~node64(c_p0, s2)))),
% 49.87/32.51 inference(rewrite,[status(thm)],[])).
% 49.87/32.51 tff(11204,plain,
% 49.87/32.51 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p0, s2, c_owned) | (~node64(c_p0, s2)))),
% 49.87/32.51 inference(quant_inst,[status(thm)],[])).
% 49.87/32.51 tff(11205,plain,
% 49.87/32.51 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p0, s2, c_owned) | (~node64(c_p0, s2))),
% 49.87/32.51 inference(modus_ponens,[status(thm)],[11204, 11203])).
% 49.87/32.51 tff(11206,plain,
% 49.87/32.51 (~node64(c_p0, s2)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[11205, 4082, 11202])).
% 49.87/32.51 tff(11207,assumption,(~node64(c_p0, s2)), introduced(assumption)).
% 49.87/32.51 tff(11208,assumption,(~m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared)), introduced(assumption)).
% 49.87/32.51 tff(11209,plain,
% 49.87/32.51 (~m_processor_v_state(c_p0, s2, c_shared)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[5000, 121, 8812])).
% 49.87/32.51 tff(11210,plain,
% 49.87/32.51 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p0, s2, c_shared) | (~node63(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p0, s2, c_shared) | (~node63(c_p0, s2)))),
% 49.87/32.51 inference(rewrite,[status(thm)],[])).
% 49.87/32.51 tff(11211,plain,
% 49.87/32.51 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p0, s2, c_shared) | (~node63(c_p0, s2)))),
% 49.87/32.51 inference(quant_inst,[status(thm)],[])).
% 49.87/32.51 tff(11212,plain,
% 49.87/32.51 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p0, s2, c_shared) | (~node63(c_p0, s2))),
% 49.87/32.51 inference(modus_ponens,[status(thm)],[11211, 11210])).
% 49.87/32.51 tff(11213,plain,
% 49.87/32.51 (~node63(c_p0, s2)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[11212, 1809, 11209])).
% 49.87/32.51 tff(11214,plain,
% 49.87/32.51 (~m_processor_v_state(c_p0, s2, c_invalid)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[2779, 137, 8812])).
% 49.87/32.51 tff(11215,plain,
% 49.87/32.51 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p0, s2, c_invalid) | (~node62(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p0, s2, c_invalid) | (~node62(c_p0, s2)))),
% 49.87/32.51 inference(rewrite,[status(thm)],[])).
% 49.87/32.51 tff(11216,plain,
% 49.87/32.51 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p0, s2, c_invalid) | (~node62(c_p0, s2)))),
% 49.87/32.51 inference(quant_inst,[status(thm)],[])).
% 49.87/32.51 tff(11217,plain,
% 49.87/32.51 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p0, s2, c_invalid) | (~node62(c_p0, s2))),
% 49.87/32.51 inference(modus_ponens,[status(thm)],[11216, 11215])).
% 49.87/32.51 tff(11218,plain,
% 49.87/32.51 (~node62(c_p0, s2)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[11217, 1633, 11214])).
% 49.87/32.51 tff(11219,plain,
% 49.87/32.51 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p0, s2, c_owned)) | node62(c_p0, s2) | (~m_processor_v_master(c_p0, s2)) | node64(c_p0, s2) | node63(c_p0, s2) | (~m_processor_v_snoop(c_p0, s2, c_shared)) | m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p0, s2, c_owned)) | node62(c_p0, s2) | (~m_processor_v_master(c_p0, s2)) | node64(c_p0, s2) | node63(c_p0, s2) | (~m_processor_v_snoop(c_p0, s2, c_shared)) | m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared))),
% 49.87/32.51 inference(rewrite,[status(thm)],[])).
% 49.87/32.51 tff(11220,plain,
% 49.87/32.51 ((m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s2, c_shared)) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~m_processor_v_master(c_p0, s2)) | node62(c_p0, s2) | node63(c_p0, s2) | node64(c_p0, s2)) <=> ((~m_processor_v_state(c_p0, s2, c_owned)) | node62(c_p0, s2) | (~m_processor_v_master(c_p0, s2)) | node64(c_p0, s2) | node63(c_p0, s2) | (~m_processor_v_snoop(c_p0, s2, c_shared)) | m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared))),
% 49.87/32.51 inference(rewrite,[status(thm)],[])).
% 49.87/32.51 tff(11221,plain,
% 49.87/32.51 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s2, c_shared)) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~m_processor_v_master(c_p0, s2)) | node62(c_p0, s2) | node63(c_p0, s2) | node64(c_p0, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p0, s2, c_owned)) | node62(c_p0, s2) | (~m_processor_v_master(c_p0, s2)) | node64(c_p0, s2) | node63(c_p0, s2) | (~m_processor_v_snoop(c_p0, s2, c_shared)) | m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared)))),
% 49.87/32.51 inference(monotonicity,[status(thm)],[11220])).
% 49.87/32.51 tff(11222,plain,
% 49.87/32.51 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s2, c_shared)) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~m_processor_v_master(c_p0, s2)) | node62(c_p0, s2) | node63(c_p0, s2) | node64(c_p0, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p0, s2, c_owned)) | node62(c_p0, s2) | (~m_processor_v_master(c_p0, s2)) | node64(c_p0, s2) | node63(c_p0, s2) | (~m_processor_v_snoop(c_p0, s2, c_shared)) | m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared))),
% 49.87/32.51 inference(transitivity,[status(thm)],[11221, 11219])).
% 49.87/32.51 tff(11223,plain,
% 49.87/32.51 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s2, c_shared)) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~m_processor_v_master(c_p0, s2)) | node62(c_p0, s2) | node63(c_p0, s2) | node64(c_p0, s2))),
% 49.87/32.51 inference(quant_inst,[status(thm)],[])).
% 49.87/32.51 tff(11224,plain,
% 49.87/32.51 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p0, s2, c_owned)) | node62(c_p0, s2) | (~m_processor_v_master(c_p0, s2)) | node64(c_p0, s2) | node63(c_p0, s2) | (~m_processor_v_snoop(c_p0, s2, c_shared)) | m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared)),
% 49.87/32.51 inference(modus_ponens,[status(thm)],[11223, 11222])).
% 49.87/32.51 tff(11225,plain,
% 49.87/32.51 (node62(c_p0, s2) | (~m_processor_v_master(c_p0, s2)) | node64(c_p0, s2) | node63(c_p0, s2) | (~m_processor_v_snoop(c_p0, s2, c_shared)) | m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[11224, 7256, 8812])).
% 49.87/32.51 tff(11226,plain,
% 49.87/32.51 (~m_processor_v_snoop(c_p0, s2, c_shared)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[11225, 11207, 11218, 11213, 5499, 11208])).
% 49.87/32.51 tff(11227,plain,
% 49.87/32.51 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p0, s2, c_shared) | (~node65(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p0, s2, c_shared) | (~node65(c_p0, s2)))),
% 49.87/32.51 inference(rewrite,[status(thm)],[])).
% 49.87/32.51 tff(11228,plain,
% 49.87/32.51 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p0, s2, c_shared) | (~node65(c_p0, s2)))),
% 49.87/32.51 inference(quant_inst,[status(thm)],[])).
% 49.87/32.51 tff(11229,plain,
% 49.87/32.51 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p0, s2, c_shared) | (~node65(c_p0, s2))),
% 49.87/32.51 inference(modus_ponens,[status(thm)],[11228, 11227])).
% 49.87/32.51 tff(11230,plain,
% 49.87/32.51 (~node65(c_p0, s2)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[11229, 4107, 11226])).
% 49.87/32.51 tff(11231,plain,
% 49.87/32.51 (node64(c_p0, s2) | node65(c_p0, s2) | m_processor_v_cmd(c_p0, s2, c_idle) | node66(c_p0, s2)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[5361, 1508, 11218, 11213])).
% 49.87/32.51 tff(11232,plain,
% 49.87/32.51 (node66(c_p0, s2)),
% 49.87/32.51 inference(unit_resolution,[status(thm)],[11231, 11230, 5333, 11207])).
% 49.87/32.51 tff(11233,assumption,(~m_processor_v_cmd(c_p0, s2, c_write_h_invalid)), introduced(assumption)).
% 49.87/32.51 tff(11234,plain,
% 49.87/32.51 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p0, s2, c_owned)) | node62(c_p0, s2) | (~m_processor_v_snoop(c_p0, s2, c_invalid)) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_cmd(c_p0, s2, c_write_h_invalid) | node64(c_p0, s2) | node65(c_p0, s2) | node63(c_p0, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p0, s2, c_owned)) | node62(c_p0, s2) | (~m_processor_v_snoop(c_p0, s2, c_invalid)) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_cmd(c_p0, s2, c_write_h_invalid) | node64(c_p0, s2) | node65(c_p0, s2) | node63(c_p0, s2))),
% 49.87/32.51 inference(rewrite,[status(thm)],[])).
% 49.87/32.51 tff(11235,plain,
% 49.87/32.51 ((m_processor_v_cmd(c_p0, s2, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s2, c_invalid)) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~m_processor_v_master(c_p0, s2)) | node62(c_p0, s2) | node63(c_p0, s2) | node64(c_p0, s2) | node65(c_p0, s2)) <=> ((~m_processor_v_state(c_p0, s2, c_owned)) | node62(c_p0, s2) | (~m_processor_v_snoop(c_p0, s2, c_invalid)) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_cmd(c_p0, s2, c_write_h_invalid) | node64(c_p0, s2) | node65(c_p0, s2) | node63(c_p0, s2))),
% 49.87/32.51 inference(rewrite,[status(thm)],[])).
% 49.87/32.51 tff(11236,plain,
% 49.87/32.51 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p0, s2, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s2, c_invalid)) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~m_processor_v_master(c_p0, s2)) | node62(c_p0, s2) | node63(c_p0, s2) | node64(c_p0, s2) | node65(c_p0, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p0, s2, c_owned)) | node62(c_p0, s2) | (~m_processor_v_snoop(c_p0, s2, c_invalid)) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_cmd(c_p0, s2, c_write_h_invalid) | node64(c_p0, s2) | node65(c_p0, s2) | node63(c_p0, s2)))),
% 49.87/32.52 inference(monotonicity,[status(thm)],[11235])).
% 49.87/32.52 tff(11237,plain,
% 49.87/32.52 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p0, s2, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s2, c_invalid)) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~m_processor_v_master(c_p0, s2)) | node62(c_p0, s2) | node63(c_p0, s2) | node64(c_p0, s2) | node65(c_p0, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p0, s2, c_owned)) | node62(c_p0, s2) | (~m_processor_v_snoop(c_p0, s2, c_invalid)) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_cmd(c_p0, s2, c_write_h_invalid) | node64(c_p0, s2) | node65(c_p0, s2) | node63(c_p0, s2))),
% 49.87/32.52 inference(transitivity,[status(thm)],[11236, 11234])).
% 49.87/32.52 tff(11238,plain,
% 49.87/32.52 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p0, s2, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s2, c_invalid)) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~m_processor_v_master(c_p0, s2)) | node62(c_p0, s2) | node63(c_p0, s2) | node64(c_p0, s2) | node65(c_p0, s2))),
% 49.87/32.52 inference(quant_inst,[status(thm)],[])).
% 49.87/32.52 tff(11239,plain,
% 49.87/32.52 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p0, s2, c_owned)) | node62(c_p0, s2) | (~m_processor_v_snoop(c_p0, s2, c_invalid)) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_cmd(c_p0, s2, c_write_h_invalid) | node64(c_p0, s2) | node65(c_p0, s2) | node63(c_p0, s2)),
% 49.87/32.52 inference(modus_ponens,[status(thm)],[11238, 11237])).
% 49.87/32.52 tff(11240,plain,
% 49.87/32.52 (node62(c_p0, s2) | (~m_processor_v_snoop(c_p0, s2, c_invalid)) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_cmd(c_p0, s2, c_write_h_invalid) | node64(c_p0, s2) | node65(c_p0, s2) | node63(c_p0, s2)),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[11239, 7232, 8812])).
% 49.87/32.52 tff(11241,plain,
% 49.87/32.52 (~m_processor_v_snoop(c_p0, s2, c_invalid)),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[11240, 11230, 5499, 11218, 11213, 11233, 11207])).
% 49.87/32.52 tff(11242,plain,
% 49.87/32.52 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | (m_processor_v_snoop(c_p0, s2, c_invalid) | (~node66(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | m_processor_v_snoop(c_p0, s2, c_invalid) | (~node66(c_p0, s2)))),
% 49.87/32.52 inference(rewrite,[status(thm)],[])).
% 49.87/32.52 tff(11243,plain,
% 49.87/32.52 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | (m_processor_v_snoop(c_p0, s2, c_invalid) | (~node66(c_p0, s2)))),
% 49.87/32.52 inference(quant_inst,[status(thm)],[])).
% 49.87/32.52 tff(11244,plain,
% 49.87/32.52 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | m_processor_v_snoop(c_p0, s2, c_invalid) | (~node66(c_p0, s2))),
% 49.87/32.52 inference(modus_ponens,[status(thm)],[11243, 11242])).
% 49.87/32.52 tff(11245,plain,
% 49.87/32.52 ($false),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[11244, 9118, 11241, 11232])).
% 49.87/32.52 tff(11246,plain,(node64(c_p0, s2) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_cmd(c_p0, s2, c_write_h_invalid) | (~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_cmd(c_p0, s2, c_idle) | m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.87/32.52 tff(11247,plain,
% 49.87/32.52 ((~m_processor_v_master(c_p0, s2)) | m_processor_v_cmd(c_p0, s2, c_write_h_invalid) | (~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_cmd(c_p0, s2, c_idle) | m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared)),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[11246, 11206])).
% 49.87/32.52 tff(11248,plain,
% 49.87/32.52 (~m_processor_v_state(c_p0, s2, c_owned)),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[11247, 10848, 10805, 10844, 10840])).
% 49.87/32.52 tff(11249,assumption,(~node44(c_p0, s2, s3)), introduced(assumption)).
% 49.87/32.52 tff(11250,plain,
% 49.87/32.52 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | (m_processor_v_state(c_p0, s2, c_owned) | (~node40(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | m_processor_v_state(c_p0, s2, c_owned) | (~node40(c_p0, s2)))),
% 49.87/32.52 inference(rewrite,[status(thm)],[])).
% 49.87/32.52 tff(11251,plain,
% 49.87/32.52 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | (m_processor_v_state(c_p0, s2, c_owned) | (~node40(c_p0, s2)))),
% 49.87/32.52 inference(quant_inst,[status(thm)],[])).
% 49.87/32.52 tff(11252,plain,
% 49.87/32.52 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | m_processor_v_state(c_p0, s2, c_owned) | (~node40(c_p0, s2))),
% 49.87/32.52 inference(modus_ponens,[status(thm)],[11251, 11250])).
% 49.87/32.52 tff(11253,plain,
% 49.87/32.52 (~node40(c_p0, s2)),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[11252, 7535, 2667])).
% 49.87/32.52 tff(11254,plain,
% 49.87/32.52 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | (m_processor_v_state(c_p0, s2, c_owned) | (~node41(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | m_processor_v_state(c_p0, s2, c_owned) | (~node41(c_p0, s2)))),
% 49.87/32.52 inference(rewrite,[status(thm)],[])).
% 49.87/32.52 tff(11255,plain,
% 49.87/32.52 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | (m_processor_v_state(c_p0, s2, c_owned) | (~node41(c_p0, s2)))),
% 49.87/32.52 inference(quant_inst,[status(thm)],[])).
% 49.87/32.52 tff(11256,plain,
% 49.87/32.52 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | m_processor_v_state(c_p0, s2, c_owned) | (~node41(c_p0, s2))),
% 49.87/32.52 inference(modus_ponens,[status(thm)],[11255, 11254])).
% 49.87/32.52 tff(11257,plain,
% 49.87/32.52 (~node41(c_p0, s2)),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[11256, 7548, 2667])).
% 49.87/32.52 tff(11258,plain,
% 49.87/32.52 (~m_processor_v_state(c_p0, s2, c_owned)),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[8829, 2622, 2642])).
% 49.87/32.52 tff(11259,plain,
% 49.87/32.52 (~node41(c_p0, s2)),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[11256, 7548, 11258])).
% 49.87/32.52 tff(11260,assumption,(~node42(c_p0, s2)), introduced(assumption)).
% 49.87/32.52 tff(11261,plain,
% 49.87/32.52 (~node40(c_p0, s2)),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[11252, 7535, 11258])).
% 49.87/32.52 tff(11262,plain,
% 49.87/32.52 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | (m_processor_v_master(c_p0, s2) | (~node43(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | m_processor_v_master(c_p0, s2) | (~node43(c_p0, s2)))),
% 49.87/32.52 inference(rewrite,[status(thm)],[])).
% 49.87/32.52 tff(11263,plain,
% 49.87/32.52 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | (m_processor_v_master(c_p0, s2) | (~node43(c_p0, s2)))),
% 49.87/32.52 inference(quant_inst,[status(thm)],[])).
% 49.87/32.52 tff(11264,plain,
% 49.87/32.52 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | m_processor_v_master(c_p0, s2) | (~node43(c_p0, s2))),
% 49.87/32.52 inference(modus_ponens,[status(thm)],[11263, 11262])).
% 49.87/32.52 tff(11265,plain,
% 49.87/32.52 (~node43(c_p0, s2)),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[11264, 8159, 2622])).
% 49.87/32.52 tff(11266,assumption,(~node45(c_p0, s2, s3)), introduced(assumption)).
% 49.87/32.52 tff(11267,plain,
% 49.87/32.52 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s2, s3)) | node45(c_p0, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s2, s3)) | node45(c_p0, s2, s3))),
% 49.87/32.52 inference(rewrite,[status(thm)],[])).
% 49.87/32.52 tff(11268,plain,
% 49.87/32.52 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s2, s3)) | node45(c_p0, s2, s3))),
% 49.87/32.52 inference(quant_inst,[status(thm)],[])).
% 49.87/32.52 tff(11269,plain,
% 49.87/32.52 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s2, s3)) | node45(c_p0, s2, s3)),
% 49.87/32.52 inference(modus_ponens,[status(thm)],[11268, 11267])).
% 49.87/32.52 tff(11270,plain,
% 49.87/32.52 ($false),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[11269, 7503, 2684, 11266])).
% 49.87/32.52 tff(11271,plain,(node45(c_p0, s2, s3)), inference(lemma,lemma(discharge,[]))).
% 49.87/32.52 tff(11272,plain,
% 49.87/32.52 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s2) | node43(c_p0, s2) | node42(c_p0, s2) | node41(c_p0, s2) | node40(c_p0, s2) | node44(c_p0, s2, s3) | (~node45(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p0, s2) | node43(c_p0, s2) | node42(c_p0, s2) | node41(c_p0, s2) | node40(c_p0, s2) | node44(c_p0, s2, s3) | (~node45(c_p0, s2, s3)))),
% 49.87/32.52 inference(rewrite,[status(thm)],[])).
% 49.87/32.52 tff(11273,plain,
% 49.87/32.52 ((m_processor_v_abort(c_p0, s2) | node40(c_p0, s2) | node41(c_p0, s2) | node42(c_p0, s2) | node43(c_p0, s2) | node44(c_p0, s2, s3) | (~node45(c_p0, s2, s3))) <=> (m_processor_v_abort(c_p0, s2) | node43(c_p0, s2) | node42(c_p0, s2) | node41(c_p0, s2) | node40(c_p0, s2) | node44(c_p0, s2, s3) | (~node45(c_p0, s2, s3)))),
% 49.87/32.52 inference(rewrite,[status(thm)],[])).
% 49.87/32.52 tff(11274,plain,
% 49.87/32.52 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s2) | node40(c_p0, s2) | node41(c_p0, s2) | node42(c_p0, s2) | node43(c_p0, s2) | node44(c_p0, s2, s3) | (~node45(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s2) | node43(c_p0, s2) | node42(c_p0, s2) | node41(c_p0, s2) | node40(c_p0, s2) | node44(c_p0, s2, s3) | (~node45(c_p0, s2, s3))))),
% 49.87/32.52 inference(monotonicity,[status(thm)],[11273])).
% 49.87/32.52 tff(11275,plain,
% 49.87/32.52 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s2) | node40(c_p0, s2) | node41(c_p0, s2) | node42(c_p0, s2) | node43(c_p0, s2) | node44(c_p0, s2, s3) | (~node45(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p0, s2) | node43(c_p0, s2) | node42(c_p0, s2) | node41(c_p0, s2) | node40(c_p0, s2) | node44(c_p0, s2, s3) | (~node45(c_p0, s2, s3)))),
% 49.87/32.52 inference(transitivity,[status(thm)],[11274, 11272])).
% 49.87/32.52 tff(11276,plain,
% 49.87/32.52 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s2) | node40(c_p0, s2) | node41(c_p0, s2) | node42(c_p0, s2) | node43(c_p0, s2) | node44(c_p0, s2, s3) | (~node45(c_p0, s2, s3)))),
% 49.87/32.52 inference(quant_inst,[status(thm)],[])).
% 49.87/32.52 tff(11277,plain,
% 49.87/32.52 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p0, s2) | node43(c_p0, s2) | node42(c_p0, s2) | node41(c_p0, s2) | node40(c_p0, s2) | node44(c_p0, s2, s3) | (~node45(c_p0, s2, s3))),
% 49.87/32.52 inference(modus_ponens,[status(thm)],[11276, 11275])).
% 49.87/32.52 tff(11278,plain,
% 49.87/32.52 (m_processor_v_abort(c_p0, s2) | node43(c_p0, s2) | node42(c_p0, s2) | node41(c_p0, s2) | node40(c_p0, s2) | node44(c_p0, s2, s3)),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[11277, 7596, 11271])).
% 49.87/32.52 tff(11279,plain,
% 49.87/32.52 ($false),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[11278, 11265, 11261, 11249, 5500, 11260, 11259])).
% 49.87/32.52 tff(11280,plain,(m_processor_v_master(c_p0, s2) | node44(c_p0, s2, s3) | m_processor_v_abort(c_p0, s2) | node42(c_p0, s2) | m_processor_v_state(c_p0, s3, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.87/32.52 tff(11281,plain,
% 49.87/32.52 (node42(c_p0, s2)),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[11280, 2622, 5500, 11249, 2642])).
% 49.87/32.52 tff(11282,plain,
% 49.87/32.52 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | (m_processor_v_master(c_p0, s2) | (~node42(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | m_processor_v_master(c_p0, s2) | (~node42(c_p0, s2)))),
% 49.87/32.52 inference(rewrite,[status(thm)],[])).
% 49.87/32.52 tff(11283,plain,
% 49.87/32.52 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | (m_processor_v_master(c_p0, s2) | (~node42(c_p0, s2)))),
% 49.87/32.52 inference(quant_inst,[status(thm)],[])).
% 49.87/32.52 tff(11284,plain,
% 49.87/32.52 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | m_processor_v_master(c_p0, s2) | (~node42(c_p0, s2))),
% 49.87/32.52 inference(modus_ponens,[status(thm)],[11283, 11282])).
% 49.87/32.52 tff(11285,plain,
% 49.87/32.52 ($false),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[11284, 8170, 2622, 11281])).
% 49.87/32.52 tff(11286,plain,(m_processor_v_master(c_p0, s2) | m_processor_v_abort(c_p0, s2) | node44(c_p0, s2, s3) | m_processor_v_state(c_p0, s3, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.87/32.52 tff(11287,plain,
% 49.87/32.52 (m_processor_v_state(c_p0, s3, c_owned)),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[11286, 2622, 11249, 5500])).
% 49.87/32.52 tff(11288,plain,
% 49.87/32.52 ($false),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[2775, 11287, 2622, 2667])).
% 49.87/32.52 tff(11289,plain,(m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p0, s2, c_owned) | node44(c_p0, s2, s3) | m_processor_v_abort(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 49.87/32.52 tff(11290,plain,
% 49.87/32.52 (m_processor_v_master(c_p0, s2)),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[11289, 11249, 2667, 5500])).
% 49.87/32.52 tff(11291,plain,
% 49.87/32.52 (node8(s2)),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[5596, 11290])).
% 49.87/32.52 tff(11292,assumption,(~node40(c_p0, s2)), introduced(assumption)).
% 49.87/32.52 tff(11293,assumption,(~node41(c_p0, s2)), introduced(assumption)).
% 49.87/32.52 tff(11294,assumption,(m_main_v_CMD(s2, c_write_h_resp_h_shared)), introduced(assumption)).
% 49.87/32.52 tff(11295,plain,
% 49.87/32.52 ($false),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[8941, 7902, 11294, 5286])).
% 49.87/32.52 tff(11296,plain,((~m_main_v_CMD(s2, c_write_h_resp_h_shared)) | (~m_main_v_CMD(s2, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 49.87/32.52 tff(11297,plain,
% 49.87/32.52 (~m_main_v_CMD(s2, c_write_h_resp_h_shared)),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[11296, 5286])).
% 49.87/32.52 tff(11298,assumption,(m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)), introduced(assumption)).
% 49.87/32.52 tff(11299,plain,
% 49.87/32.52 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s2, c_write_h_resp_h_shared) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s2, c_write_h_resp_h_shared) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)))),
% 49.87/32.52 inference(rewrite,[status(thm)],[])).
% 49.87/32.52 tff(11300,plain,
% 49.87/32.52 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s2, c_write_h_resp_h_shared) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)))),
% 49.87/32.52 inference(quant_inst,[status(thm)],[])).
% 49.87/32.52 tff(11301,plain,
% 49.87/32.52 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s2, c_write_h_resp_h_shared) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared))),
% 49.87/32.52 inference(modus_ponens,[status(thm)],[11300, 11299])).
% 49.87/32.52 tff(11302,plain,
% 49.87/32.52 ($false),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[11301, 1612, 5518, 9005, 11298])).
% 49.87/32.52 tff(11303,plain,(m_main_v_CMD(s2, c_write_h_resp_h_shared) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared))), inference(lemma,lemma(discharge,[]))).
% 49.87/32.52 tff(11304,plain,
% 49.87/32.52 (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[11303, 11297])).
% 49.87/32.52 tff(11305,assumption,(node43(c_p0, s2)), introduced(assumption)).
% 49.87/32.52 tff(11306,assumption,(~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)), introduced(assumption)).
% 49.87/32.52 tff(11307,plain,
% 49.87/32.52 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared) | (~node43(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared) | (~node43(c_p0, s2)))),
% 49.87/32.52 inference(rewrite,[status(thm)],[])).
% 49.87/32.52 tff(11308,plain,
% 49.87/32.52 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared) | (~node43(c_p0, s2)))),
% 49.87/32.52 inference(quant_inst,[status(thm)],[])).
% 49.87/32.52 tff(11309,plain,
% 49.87/32.52 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared) | (~node43(c_p0, s2))),
% 49.87/32.52 inference(modus_ponens,[status(thm)],[11308, 11307])).
% 49.87/32.52 tff(11310,plain,
% 49.87/32.52 ($false),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[11309, 7631, 11306, 11305])).
% 49.87/32.52 tff(11311,plain,((~node43(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.87/32.52 tff(11312,plain,
% 49.87/32.52 (~node43(c_p0, s2)),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[11311, 11304])).
% 49.87/32.52 tff(11313,plain,
% 49.87/32.52 (node42(c_p0, s2)),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[11278, 11312, 11293, 11292, 11249, 5500])).
% 49.87/32.52 tff(11314,assumption,(node42(c_p0, s2)), introduced(assumption)).
% 49.87/32.52 tff(11315,plain,
% 49.87/32.52 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | (m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | (~node42(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | (~node42(c_p0, s2)))),
% 49.87/32.52 inference(rewrite,[status(thm)],[])).
% 49.87/32.52 tff(11316,plain,
% 49.87/32.52 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | (m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | (~node42(c_p0, s2)))),
% 49.87/32.52 inference(quant_inst,[status(thm)],[])).
% 49.87/32.52 tff(11317,plain,
% 49.87/32.52 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | (~node42(c_p0, s2))),
% 49.87/32.52 inference(modus_ponens,[status(thm)],[11316, 11315])).
% 49.87/32.52 tff(11318,plain,
% 49.87/32.52 ($false),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[11317, 7579, 9207, 11314])).
% 49.87/32.52 tff(11319,plain,(m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | (~node42(c_p0, s2))), inference(lemma,lemma(discharge,[]))).
% 49.87/32.52 tff(11320,plain,
% 49.87/32.52 (m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[11319, 11313])).
% 49.87/32.52 tff(11321,plain,
% 49.87/32.52 (m_main_v_CMD(s2, c_write_h_resp_h_invalid)),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[9188, 11320])).
% 49.87/32.52 tff(11322,plain,
% 49.87/32.52 ($false),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[8937, 7915, 5286, 11321])).
% 49.87/32.52 tff(11323,plain,((~m_main_v_CMD(s2, c_read_h_shared)) | node41(c_p0, s2) | node40(c_p0, s2) | node44(c_p0, s2, s3) | m_processor_v_abort(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 49.87/32.52 tff(11324,plain,
% 49.87/32.52 (~m_main_v_CMD(s2, c_read_h_shared)),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[11323, 11249, 11253, 11257, 5500])).
% 49.87/32.52 tff(11325,plain,
% 49.87/32.52 (~m_processor_v_cmd(c_p0, s2, c_read_h_shared)),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[5611, 11324, 11291])).
% 49.87/32.52 tff(11326,plain,
% 49.87/32.52 (m_processor_v_cmd(c_p0, s2, c_read_h_owned)),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[5619, 11325, 11290])).
% 49.87/32.52 tff(11327,plain,
% 49.87/32.52 (~m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared)),
% 49.87/32.52 inference(unit_resolution,[status(thm)],[10839, 3526, 11326])).
% 49.87/32.52 tff(11328,plain,
% 49.87/32.52 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared) | (~m_main_v_CMD(s2, c_write_h_resp_h_shared)) | (~node8(s2)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared) | (~m_main_v_CMD(s2, c_write_h_resp_h_shared)) | (~node8(s2)))),
% 49.91/32.52 inference(rewrite,[status(thm)],[])).
% 49.91/32.52 tff(11329,plain,
% 49.91/32.52 (((~m_main_v_CMD(s2, c_write_h_resp_h_shared)) | (~node8(s2)) | m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared)) <=> (m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared) | (~m_main_v_CMD(s2, c_write_h_resp_h_shared)) | (~node8(s2)))),
% 49.91/32.52 inference(rewrite,[status(thm)],[])).
% 49.91/32.52 tff(11330,plain,
% 49.91/32.52 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s2, c_write_h_resp_h_shared)) | (~node8(s2)) | m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared) | (~m_main_v_CMD(s2, c_write_h_resp_h_shared)) | (~node8(s2))))),
% 49.91/32.52 inference(monotonicity,[status(thm)],[11329])).
% 49.91/32.52 tff(11331,plain,
% 49.91/32.52 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s2, c_write_h_resp_h_shared)) | (~node8(s2)) | m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared) | (~m_main_v_CMD(s2, c_write_h_resp_h_shared)) | (~node8(s2)))),
% 49.91/32.52 inference(transitivity,[status(thm)],[11330, 11328])).
% 49.91/32.52 tff(11332,plain,
% 49.91/32.52 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s2, c_write_h_resp_h_shared)) | (~node8(s2)) | m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared))),
% 49.91/32.52 inference(quant_inst,[status(thm)],[])).
% 49.91/32.52 tff(11333,plain,
% 49.91/32.52 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared) | (~m_main_v_CMD(s2, c_write_h_resp_h_shared)) | (~node8(s2))),
% 49.91/32.52 inference(modus_ponens,[status(thm)],[11332, 11331])).
% 49.91/32.52 tff(11334,plain,
% 49.91/32.52 (~m_main_v_CMD(s2, c_write_h_resp_h_shared)),
% 49.91/32.52 inference(unit_resolution,[status(thm)],[11333, 2191, 11291, 11327])).
% 49.91/32.52 tff(11335,plain,
% 49.91/32.52 (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)),
% 49.91/32.52 inference(unit_resolution,[status(thm)],[11303, 11334])).
% 49.91/32.52 tff(11336,plain,
% 49.91/32.52 (~node43(c_p0, s2)),
% 49.91/32.52 inference(unit_resolution,[status(thm)],[11311, 11335])).
% 49.91/32.52 tff(11337,plain,
% 49.91/32.52 (m_main_v_CMD(s2, c_read_h_owned)),
% 49.91/32.52 inference(unit_resolution,[status(thm)],[5621, 11324, 5494, 11290])).
% 49.91/32.52 tff(11338,plain,
% 49.91/32.52 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s2, c_read_h_owned)) | (~m_main_v_CMD(s2, c_write_h_resp_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s2, c_read_h_owned)) | (~m_main_v_CMD(s2, c_write_h_resp_h_invalid)))),
% 49.91/32.52 inference(rewrite,[status(thm)],[])).
% 49.91/32.52 tff(11339,plain,
% 49.91/32.52 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s2, c_read_h_owned)) | (~m_main_v_CMD(s2, c_write_h_resp_h_invalid)))),
% 49.91/32.52 inference(quant_inst,[status(thm)],[])).
% 49.91/32.52 tff(11340,plain,
% 49.91/32.52 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s2, c_read_h_owned)) | (~m_main_v_CMD(s2, c_write_h_resp_h_invalid))),
% 49.91/32.52 inference(modus_ponens,[status(thm)],[11339, 11338])).
% 49.91/32.52 tff(11341,plain,
% 49.91/32.52 (~m_main_v_CMD(s2, c_write_h_resp_h_invalid)),
% 49.91/32.52 inference(unit_resolution,[status(thm)],[11340, 7953, 11337])).
% 49.91/32.52 tff(11342,plain,
% 49.91/32.52 (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)),
% 49.91/32.52 inference(unit_resolution,[status(thm)],[9188, 11341])).
% 49.91/32.52 tff(11343,plain,
% 49.91/32.52 (~node42(c_p0, s2)),
% 49.91/32.52 inference(unit_resolution,[status(thm)],[11319, 11342])).
% 49.91/32.52 tff(11344,plain,
% 49.91/32.52 ($false),
% 49.91/32.52 inference(unit_resolution,[status(thm)],[11278, 11343, 11336, 11257, 11253, 11249, 5500])).
% 49.91/32.52 tff(11345,plain,(node44(c_p0, s2, s3) | m_processor_v_abort(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s2, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.91/32.52 tff(11346,plain,
% 49.91/32.52 (node44(c_p0, s2, s3)),
% 49.91/32.52 inference(unit_resolution,[status(thm)],[11345, 11248, 10807, 5494])).
% 49.91/32.52 tff(11347,plain,
% 49.91/32.52 (((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p0, s2, c_invalid)) | (~m_processor_v_snoop(c_p0, s2, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p0, s2, c_invalid)) | (~m_processor_v_snoop(c_p0, s2, c_shared)))),
% 49.91/32.52 inference(rewrite,[status(thm)],[])).
% 49.91/32.52 tff(11348,plain,
% 49.91/32.52 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p0, s2, c_invalid)) | (~m_processor_v_snoop(c_p0, s2, c_shared)))),
% 49.91/32.52 inference(quant_inst,[status(thm)],[])).
% 49.91/32.52 tff(11349,plain,
% 49.91/32.52 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p0, s2, c_invalid)) | (~m_processor_v_snoop(c_p0, s2, c_shared))),
% 49.91/32.52 inference(modus_ponens,[status(thm)],[11348, 11347])).
% 49.91/32.52 tff(11350,plain,
% 49.91/32.52 (~m_processor_v_snoop(c_p0, s2, c_shared)),
% 49.91/32.52 inference(unit_resolution,[status(thm)],[11349, 4096, 11198])).
% 49.91/32.52 tff(11351,assumption,(~m_processor_v_snoop(c_p0, s2, c_shared)), introduced(assumption)).
% 49.91/32.52 tff(11352,assumption,(node44(c_p0, s2, s3)), introduced(assumption)).
% 49.91/32.52 tff(11353,assumption,(m_processor_v_snoop(c_p0, s3, c_shared)), introduced(assumption)).
% 49.91/32.52 tff(11354,plain,
% 49.91/32.52 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p0, s2, c_shared) | (~m_processor_v_snoop(c_p0, s3, c_shared)) | (~node44(c_p0, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p0, s2, c_shared) | (~m_processor_v_snoop(c_p0, s3, c_shared)) | (~node44(c_p0, s2, s3)))),
% 49.91/32.52 inference(rewrite,[status(thm)],[])).
% 49.91/32.52 tff(11355,plain,
% 49.91/32.52 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p0, s2, c_shared) | (~m_processor_v_snoop(c_p0, s3, c_shared)) | (~node44(c_p0, s2, s3)))),
% 49.91/32.52 inference(quant_inst,[status(thm)],[])).
% 49.91/32.52 tff(11356,plain,
% 49.91/32.52 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p0, s2, c_shared) | (~m_processor_v_snoop(c_p0, s3, c_shared)) | (~node44(c_p0, s2, s3))),
% 49.91/32.52 inference(modus_ponens,[status(thm)],[11355, 11354])).
% 49.91/32.52 tff(11357,plain,
% 49.91/32.52 ($false),
% 49.91/32.52 inference(unit_resolution,[status(thm)],[11356, 10976, 11353, 11352, 11351])).
% 49.91/32.52 tff(11358,plain,((~m_processor_v_snoop(c_p0, s3, c_shared)) | (~node44(c_p0, s2, s3)) | m_processor_v_snoop(c_p0, s2, c_shared)), inference(lemma,lemma(discharge,[]))).
% 49.91/32.52 tff(11359,plain,
% 49.91/32.52 ((~m_processor_v_snoop(c_p0, s3, c_shared)) | (~node44(c_p0, s2, s3))),
% 49.91/32.52 inference(unit_resolution,[status(thm)],[11358, 11350])).
% 49.91/32.52 tff(11360,plain,
% 49.91/32.52 (~m_processor_v_snoop(c_p0, s3, c_shared)),
% 49.91/32.52 inference(unit_resolution,[status(thm)],[11359, 11346])).
% 49.91/32.52 tff(11361,assumption,(m_processor_v_snoop(c_p0, s3, c_owned)), introduced(assumption)).
% 49.91/32.52 tff(11362,assumption,(~m_processor_v_snoop(c_p0, s2, c_owned)), introduced(assumption)).
% 49.91/32.52 tff(11363,plain,
% 49.91/32.52 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p0, s2, c_owned) | (~m_processor_v_snoop(c_p0, s3, c_owned)) | (~node44(c_p0, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p0, s2, c_owned) | (~m_processor_v_snoop(c_p0, s3, c_owned)) | (~node44(c_p0, s2, s3)))),
% 49.91/32.53 inference(rewrite,[status(thm)],[])).
% 49.91/32.53 tff(11364,plain,
% 49.91/32.53 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p0, s2, c_owned) | (~m_processor_v_snoop(c_p0, s3, c_owned)) | (~node44(c_p0, s2, s3)))),
% 49.91/32.53 inference(quant_inst,[status(thm)],[])).
% 49.91/32.53 tff(11365,plain,
% 49.91/32.53 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p0, s2, c_owned) | (~m_processor_v_snoop(c_p0, s3, c_owned)) | (~node44(c_p0, s2, s3))),
% 49.91/32.53 inference(modus_ponens,[status(thm)],[11364, 11363])).
% 49.91/32.53 tff(11366,plain,
% 49.91/32.53 ($false),
% 49.91/32.53 inference(unit_resolution,[status(thm)],[11365, 10976, 11362, 11361, 11352])).
% 49.91/32.53 tff(11367,plain,((~m_processor_v_snoop(c_p0, s3, c_owned)) | m_processor_v_snoop(c_p0, s2, c_owned) | (~node44(c_p0, s2, s3))), inference(lemma,lemma(discharge,[]))).
% 49.91/32.53 tff(11368,plain,
% 49.91/32.53 ((~m_processor_v_snoop(c_p0, s3, c_owned)) | (~node44(c_p0, s2, s3))),
% 49.91/32.53 inference(unit_resolution,[status(thm)],[11367, 11202])).
% 49.91/32.53 tff(11369,plain,
% 49.91/32.53 (~m_processor_v_snoop(c_p0, s3, c_owned)),
% 49.91/32.53 inference(unit_resolution,[status(thm)],[11368, 11346])).
% 49.91/32.53 tff(11370,assumption,(~node52(c_p0, s3, s4)), introduced(assumption)).
% 49.91/32.53 tff(11371,plain,
% 49.91/32.53 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))) | ((~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_read_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))) | (~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_read_h_shared)))),
% 49.91/32.53 inference(rewrite,[status(thm)],[])).
% 49.91/32.53 tff(11372,plain,
% 49.91/32.53 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))) | ((~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_read_h_shared)))),
% 49.91/32.53 inference(quant_inst,[status(thm)],[])).
% 49.91/32.53 tff(11373,plain,
% 49.91/32.53 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))) | (~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_read_h_shared))),
% 49.91/32.53 inference(modus_ponens,[status(thm)],[11372, 11371])).
% 49.91/32.53 tff(11374,plain,
% 49.91/32.53 (~m_main_v_CMD(s3, c_idle)),
% 49.91/32.53 inference(unit_resolution,[status(thm)],[11373, 8277, 9539])).
% 49.91/32.53 tff(11375,plain,
% 49.91/32.53 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)))),
% 49.91/32.53 inference(rewrite,[status(thm)],[])).
% 49.91/32.53 tff(11376,plain,
% 49.91/32.53 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)))),
% 49.91/32.53 inference(quant_inst,[status(thm)],[])).
% 49.91/32.53 tff(11377,plain,
% 49.91/32.53 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid))),
% 49.91/32.53 inference(modus_ponens,[status(thm)],[11376, 11375])).
% 49.91/32.53 tff(11378,plain,
% 49.91/32.53 (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)),
% 49.91/32.53 inference(unit_resolution,[status(thm)],[11377, 7915, 9539])).
% 49.91/32.53 tff(11379,plain,
% 49.91/32.53 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))),
% 49.91/32.53 inference(rewrite,[status(thm)],[])).
% 49.91/32.53 tff(11380,plain,
% 49.91/32.53 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))),
% 49.91/32.53 inference(quant_inst,[status(thm)],[])).
% 49.91/32.53 tff(11381,plain,
% 49.91/32.53 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared))),
% 49.91/32.53 inference(modus_ponens,[status(thm)],[11380, 11379])).
% 49.91/32.53 tff(11382,plain,
% 49.91/32.53 (~m_main_v_CMD(s3, c_write_h_resp_h_shared)),
% 49.91/32.53 inference(unit_resolution,[status(thm)],[11381, 7902, 9539])).
% 49.91/32.53 tff(11383,plain,
% 49.91/32.53 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_write_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_write_h_invalid)))),
% 49.91/32.53 inference(rewrite,[status(thm)],[])).
% 49.91/32.53 tff(11384,plain,
% 49.91/32.53 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_write_h_invalid)))),
% 49.91/32.53 inference(quant_inst,[status(thm)],[])).
% 49.91/32.53 tff(11385,plain,
% 49.91/32.53 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_write_h_invalid))),
% 49.91/32.53 inference(modus_ponens,[status(thm)],[11384, 11383])).
% 49.91/32.53 tff(11386,plain,
% 49.91/32.53 (~m_main_v_CMD(s3, c_write_h_invalid)),
% 49.91/32.53 inference(unit_resolution,[status(thm)],[11385, 8958, 9539])).
% 49.91/32.53 tff(11387,plain,
% 49.91/32.53 (m_processor_v_master(c_p0, s3)),
% 49.91/32.53 inference(unit_resolution,[status(thm)],[10144, 10136])).
% 49.91/32.53 tff(11388,plain,
% 49.91/32.53 (~node17(s3)),
% 49.91/32.53 inference(unit_resolution,[status(thm)],[9486, 11387])).
% 49.91/32.53 tff(11389,plain,
% 49.91/32.53 (~m_memory_v_master(c_m, s3)),
% 49.91/32.53 inference(unit_resolution,[status(thm)],[9494, 11388])).
% 49.91/32.53 tff(11390,plain,
% 49.91/32.53 (~node29(c_m, s3)),
% 49.91/32.53 inference(unit_resolution,[status(thm)],[9502, 11389])).
% 49.91/32.53 tff(11391,plain,
% 49.91/32.53 (m_memory_v_cmd(c_m, s3, c_idle)),
% 49.91/32.53 inference(unit_resolution,[status(thm)],[9510, 11390])).
% 49.91/32.53 tff(11392,plain,
% 49.91/32.53 (~node16(s3)),
% 49.91/32.53 inference(unit_resolution,[status(thm)],[9554, 1530, 11387])).
% 49.91/32.53 tff(11393,plain,
% 49.91/32.53 (~m_processor_v_master(c_p2, s3)),
% 49.91/32.53 inference(unit_resolution,[status(thm)],[9562, 11392])).
% 49.91/32.53 tff(11394,plain,
% 49.91/32.53 (m_processor_v_cmd(c_p2, s3, c_idle)),
% 49.91/32.53 inference(unit_resolution,[status(thm)],[9594, 11393])).
% 49.91/32.53 tff(11395,plain,
% 49.91/32.53 (~m_processor_v_master(c_p1, s3)),
% 49.91/32.53 inference(unit_resolution,[status(thm)],[9444, 794, 11387])).
% 49.91/32.53 tff(11396,plain,
% 49.91/32.53 (m_processor_v_cmd(c_p1, s3, c_idle)),
% 49.91/32.53 inference(unit_resolution,[status(thm)],[9478, 11395])).
% 49.91/32.53 tff(11397,plain,
% 49.91/32.53 (node8(s3)),
% 49.91/32.53 inference(unit_resolution,[status(thm)],[9602, 1593, 11396, 11394, 11391])).
% 49.91/32.53 tff(11398,assumption,(~m_main_v_CMD(s3, c_write_h_resp_h_invalid)), introduced(assumption)).
% 49.91/32.53 tff(11399,plain,
% 49.91/32.53 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_invalid)) | m_main_v_CMD(s3, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_invalid)) | m_main_v_CMD(s3, c_write_h_resp_h_invalid))),
% 49.91/32.53 inference(rewrite,[status(thm)],[])).
% 49.91/32.53 tff(11400,plain,
% 49.91/32.53 ((m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_invalid))) <=> ((~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_invalid)) | m_main_v_CMD(s3, c_write_h_resp_h_invalid))),
% 49.91/32.53 inference(rewrite,[status(thm)],[])).
% 49.91/32.53 tff(11401,plain,
% 49.91/32.53 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_invalid)) | m_main_v_CMD(s3, c_write_h_resp_h_invalid)))),
% 49.91/32.53 inference(monotonicity,[status(thm)],[11400])).
% 49.91/32.53 tff(11402,plain,
% 49.91/32.53 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_invalid)) | m_main_v_CMD(s3, c_write_h_resp_h_invalid))),
% 49.91/32.53 inference(transitivity,[status(thm)],[11401, 11399])).
% 49.91/32.53 tff(11403,plain,
% 49.91/32.53 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_invalid)))),
% 49.91/32.53 inference(quant_inst,[status(thm)],[])).
% 49.91/32.53 tff(11404,plain,
% 49.91/32.53 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_invalid)) | m_main_v_CMD(s3, c_write_h_resp_h_invalid)),
% 49.91/32.53 inference(modus_ponens,[status(thm)],[11403, 11402])).
% 49.91/32.53 tff(11405,plain,
% 49.91/32.53 ((~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_invalid))),
% 49.91/32.53 inference(unit_resolution,[status(thm)],[11404, 1669, 11398])).
% 49.91/32.53 tff(11406,plain,
% 49.91/32.53 (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_invalid)),
% 49.91/32.53 inference(unit_resolution,[status(thm)],[11405, 11397])).
% 49.91/32.53 tff(11407,plain,
% 49.91/32.53 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p0, s3, c_shared) | (~node63(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p0, s3, c_shared) | (~node63(c_p0, s3)))),
% 49.91/32.53 inference(rewrite,[status(thm)],[])).
% 49.91/32.53 tff(11408,plain,
% 49.91/32.53 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p0, s3, c_shared) | (~node63(c_p0, s3)))),
% 49.91/32.53 inference(quant_inst,[status(thm)],[])).
% 49.91/32.53 tff(11409,plain,
% 49.91/32.53 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p0, s3, c_shared) | (~node63(c_p0, s3))),
% 49.91/32.53 inference(modus_ponens,[status(thm)],[11408, 11407])).
% 49.91/32.53 tff(11410,plain,
% 49.91/32.53 (~node63(c_p0, s3)),
% 49.91/32.53 inference(unit_resolution,[status(thm)],[11409, 1809, 2662])).
% 49.91/32.53 tff(11411,assumption,(m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared)), introduced(assumption)).
% 49.91/32.53 tff(11412,assumption,(node8(s3)), introduced(assumption)).
% 49.91/32.53 tff(11413,plain,
% 49.91/32.53 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared)) | m_main_v_CMD(s3, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared)) | m_main_v_CMD(s3, c_write_h_resp_h_shared))),
% 49.91/32.53 inference(rewrite,[status(thm)],[])).
% 49.91/32.53 tff(11414,plain,
% 49.91/32.53 ((m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared))) <=> ((~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared)) | m_main_v_CMD(s3, c_write_h_resp_h_shared))),
% 49.91/32.53 inference(rewrite,[status(thm)],[])).
% 49.91/32.53 tff(11415,plain,
% 49.91/32.53 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared)) | m_main_v_CMD(s3, c_write_h_resp_h_shared)))),
% 49.91/32.53 inference(monotonicity,[status(thm)],[11414])).
% 49.91/32.53 tff(11416,plain,
% 49.91/32.53 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared)) | m_main_v_CMD(s3, c_write_h_resp_h_shared))),
% 49.91/32.53 inference(transitivity,[status(thm)],[11415, 11413])).
% 49.91/32.53 tff(11417,plain,
% 49.91/32.53 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared)))),
% 49.91/32.53 inference(quant_inst,[status(thm)],[])).
% 49.91/32.53 tff(11418,plain,
% 49.91/32.53 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared)) | m_main_v_CMD(s3, c_write_h_resp_h_shared)),
% 49.91/32.53 inference(modus_ponens,[status(thm)],[11417, 11416])).
% 49.91/32.53 tff(11419,plain,
% 49.91/32.53 ($false),
% 49.91/32.53 inference(unit_resolution,[status(thm)],[11418, 1669, 10631, 11412, 11411])).
% 49.91/32.53 tff(11420,plain,((~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared)) | m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node8(s3))), inference(lemma,lemma(discharge,[]))).
% 49.91/32.53 tff(11421,plain,
% 49.91/32.53 (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared)),
% 49.91/32.53 inference(unit_resolution,[status(thm)],[11420, 11397, 10631])).
% 49.91/32.53 tff(11422,plain,
% 49.91/32.53 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p0, s3, c_invalid) | (~node62(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p0, s3, c_invalid) | (~node62(c_p0, s3)))),
% 49.91/32.53 inference(rewrite,[status(thm)],[])).
% 49.91/32.53 tff(11423,plain,
% 49.91/32.53 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p0, s3, c_invalid) | (~node62(c_p0, s3)))),
% 49.91/32.53 inference(quant_inst,[status(thm)],[])).
% 49.91/32.53 tff(11424,plain,
% 49.91/32.53 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p0, s3, c_invalid) | (~node62(c_p0, s3))),
% 49.91/32.53 inference(modus_ponens,[status(thm)],[11423, 11422])).
% 49.91/32.53 tff(11425,plain,
% 49.91/32.53 (~node62(c_p0, s3)),
% 49.91/32.53 inference(unit_resolution,[status(thm)],[11424, 1633, 2666])).
% 49.91/32.53 tff(11426,assumption,(~node63(c_p0, s3)), introduced(assumption)).
% 49.91/32.53 tff(11427,assumption,(~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared)), introduced(assumption)).
% 49.91/32.53 tff(11428,assumption,(~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_invalid)), introduced(assumption)).
% 49.91/32.53 tff(11429,plain,
% 49.91/32.53 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_snoop(c_p0, s3, c_owned)) | node62(c_p0, s3) | node63(c_p0, s3) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_snoop(c_p0, s3, c_owned)) | node62(c_p0, s3) | node63(c_p0, s3) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_invalid))),
% 49.91/32.53 inference(rewrite,[status(thm)],[])).
% 49.91/32.53 tff(11430,plain,
% 49.91/32.53 ((m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s3, c_owned)) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3) | node63(c_p0, s3)) <=> ((~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_snoop(c_p0, s3, c_owned)) | node62(c_p0, s3) | node63(c_p0, s3) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_invalid))),
% 49.91/32.53 inference(rewrite,[status(thm)],[])).
% 49.91/32.53 tff(11431,plain,
% 49.91/32.53 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s3, c_owned)) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3) | node63(c_p0, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_snoop(c_p0, s3, c_owned)) | node62(c_p0, s3) | node63(c_p0, s3) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_invalid)))),
% 49.91/32.53 inference(monotonicity,[status(thm)],[11430])).
% 49.91/32.53 tff(11432,plain,
% 49.91/32.53 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s3, c_owned)) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3) | node63(c_p0, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_snoop(c_p0, s3, c_owned)) | node62(c_p0, s3) | node63(c_p0, s3) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_invalid))),
% 49.91/32.53 inference(transitivity,[status(thm)],[11431, 11429])).
% 49.91/32.53 tff(11433,plain,
% 49.91/32.53 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s3, c_owned)) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3) | node63(c_p0, s3))),
% 49.91/32.53 inference(quant_inst,[status(thm)],[])).
% 49.91/32.53 tff(11434,plain,
% 49.91/32.53 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_snoop(c_p0, s3, c_owned)) | node62(c_p0, s3) | node63(c_p0, s3) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_invalid)),
% 49.91/32.53 inference(modus_ponens,[status(thm)],[11433, 11432])).
% 49.91/32.53 tff(11435,plain,
% 49.91/32.53 ((~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_snoop(c_p0, s3, c_owned)) | node62(c_p0, s3) | node63(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_invalid)),
% 49.91/32.53 inference(unit_resolution,[status(thm)],[11434, 7172, 11387])).
% 49.91/32.53 tff(11436,plain,
% 49.91/32.53 (~m_processor_v_snoop(c_p0, s3, c_owned)),
% 49.91/32.53 inference(unit_resolution,[status(thm)],[11435, 11425, 11428, 2652, 11426])).
% 49.91/32.53 tff(11437,plain,
% 49.91/32.53 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p0, s3, c_owned) | (~node64(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p0, s3, c_owned) | (~node64(c_p0, s3)))),
% 49.91/32.53 inference(rewrite,[status(thm)],[])).
% 49.91/32.53 tff(11438,plain,
% 49.91/32.53 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p0, s3, c_owned) | (~node64(c_p0, s3)))),
% 49.91/32.53 inference(quant_inst,[status(thm)],[])).
% 49.91/32.53 tff(11439,plain,
% 49.91/32.53 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p0, s3, c_owned) | (~node64(c_p0, s3))),
% 49.91/32.53 inference(modus_ponens,[status(thm)],[11438, 11437])).
% 49.91/32.53 tff(11440,plain,
% 49.91/32.53 (~node64(c_p0, s3)),
% 49.91/32.53 inference(unit_resolution,[status(thm)],[11439, 4082, 11436])).
% 49.91/32.53 tff(11441,plain,
% 49.91/32.53 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p0, s3, c_owned)) | node62(c_p0, s3) | node64(c_p0, s3) | node63(c_p0, s3) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s3, c_shared)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p0, s3, c_owned)) | node62(c_p0, s3) | node64(c_p0, s3) | node63(c_p0, s3) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s3, c_shared)))),
% 49.91/32.53 inference(rewrite,[status(thm)],[])).
% 49.91/32.53 tff(11442,plain,
% 49.91/32.53 ((m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s3, c_shared)) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3) | node63(c_p0, s3) | node64(c_p0, s3)) <=> ((~m_processor_v_state(c_p0, s3, c_owned)) | node62(c_p0, s3) | node64(c_p0, s3) | node63(c_p0, s3) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s3, c_shared)))),
% 49.91/32.53 inference(rewrite,[status(thm)],[])).
% 49.91/32.53 tff(11443,plain,
% 49.91/32.53 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s3, c_shared)) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3) | node63(c_p0, s3) | node64(c_p0, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p0, s3, c_owned)) | node62(c_p0, s3) | node64(c_p0, s3) | node63(c_p0, s3) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s3, c_shared))))),
% 49.91/32.53 inference(monotonicity,[status(thm)],[11442])).
% 49.91/32.53 tff(11444,plain,
% 49.91/32.53 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s3, c_shared)) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3) | node63(c_p0, s3) | node64(c_p0, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p0, s3, c_owned)) | node62(c_p0, s3) | node64(c_p0, s3) | node63(c_p0, s3) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s3, c_shared)))),
% 49.91/32.53 inference(transitivity,[status(thm)],[11443, 11441])).
% 49.91/32.53 tff(11445,plain,
% 49.91/32.53 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s3, c_shared)) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3) | node63(c_p0, s3) | node64(c_p0, s3))),
% 49.91/32.54 inference(quant_inst,[status(thm)],[])).
% 49.91/32.54 tff(11446,plain,
% 49.91/32.54 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p0, s3, c_owned)) | node62(c_p0, s3) | node64(c_p0, s3) | node63(c_p0, s3) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s3, c_shared))),
% 49.91/32.54 inference(modus_ponens,[status(thm)],[11445, 11444])).
% 49.91/32.54 tff(11447,plain,
% 49.91/32.54 ((~m_processor_v_state(c_p0, s3, c_owned)) | node62(c_p0, s3) | node64(c_p0, s3) | node63(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s3, c_shared))),
% 49.91/32.54 inference(unit_resolution,[status(thm)],[11446, 7256, 11387])).
% 49.91/32.54 tff(11448,plain,
% 49.91/32.54 (~m_processor_v_snoop(c_p0, s3, c_shared)),
% 49.91/32.54 inference(unit_resolution,[status(thm)],[11447, 11440, 11427, 11426, 2652, 11425])).
% 49.91/32.54 tff(11449,assumption,(~m_processor_v_cmd(c_p0, s3, c_write_h_invalid)), introduced(assumption)).
% 49.91/32.54 tff(11450,assumption,(~node64(c_p0, s3)), introduced(assumption)).
% 49.91/32.54 tff(11451,assumption,(~node65(c_p0, s3)), introduced(assumption)).
% 49.91/32.54 tff(11452,assumption,(~node62(c_p0, s3)), introduced(assumption)).
% 49.91/32.54 tff(11453,plain,
% 49.91/32.54 (node64(c_p0, s3) | node65(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_idle) | node66(c_p0, s3)),
% 49.91/32.54 inference(unit_resolution,[status(thm)],[10142, 1508, 11452, 11426])).
% 49.91/32.54 tff(11454,plain,
% 49.91/32.54 (node66(c_p0, s3)),
% 49.91/32.54 inference(unit_resolution,[status(thm)],[11453, 11451, 10136, 11450])).
% 49.91/32.54 tff(11455,plain,
% 49.91/32.54 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p0, s3, c_owned)) | node62(c_p0, s3) | node64(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_write_h_invalid) | node65(c_p0, s3) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | node63(c_p0, s3) | (~m_processor_v_master(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p0, s3, c_owned)) | node62(c_p0, s3) | node64(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_write_h_invalid) | node65(c_p0, s3) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | node63(c_p0, s3) | (~m_processor_v_master(c_p0, s3)))),
% 49.91/32.54 inference(rewrite,[status(thm)],[])).
% 49.91/32.54 tff(11456,plain,
% 49.91/32.54 ((m_processor_v_cmd(c_p0, s3, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3) | node63(c_p0, s3) | node64(c_p0, s3) | node65(c_p0, s3)) <=> ((~m_processor_v_state(c_p0, s3, c_owned)) | node62(c_p0, s3) | node64(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_write_h_invalid) | node65(c_p0, s3) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | node63(c_p0, s3) | (~m_processor_v_master(c_p0, s3)))),
% 49.91/32.54 inference(rewrite,[status(thm)],[])).
% 49.91/32.54 tff(11457,plain,
% 49.91/32.54 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p0, s3, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3) | node63(c_p0, s3) | node64(c_p0, s3) | node65(c_p0, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p0, s3, c_owned)) | node62(c_p0, s3) | node64(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_write_h_invalid) | node65(c_p0, s3) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | node63(c_p0, s3) | (~m_processor_v_master(c_p0, s3))))),
% 49.91/32.54 inference(monotonicity,[status(thm)],[11456])).
% 49.91/32.54 tff(11458,plain,
% 49.91/32.54 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p0, s3, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3) | node63(c_p0, s3) | node64(c_p0, s3) | node65(c_p0, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p0, s3, c_owned)) | node62(c_p0, s3) | node64(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_write_h_invalid) | node65(c_p0, s3) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | node63(c_p0, s3) | (~m_processor_v_master(c_p0, s3)))),
% 49.91/32.54 inference(transitivity,[status(thm)],[11457, 11455])).
% 49.91/32.54 tff(11459,plain,
% 49.91/32.54 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p0, s3, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3) | node63(c_p0, s3) | node64(c_p0, s3) | node65(c_p0, s3))),
% 49.91/32.54 inference(quant_inst,[status(thm)],[])).
% 49.91/32.54 tff(11460,plain,
% 49.91/32.54 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p0, s3, c_owned)) | node62(c_p0, s3) | node64(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_write_h_invalid) | node65(c_p0, s3) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | node63(c_p0, s3) | (~m_processor_v_master(c_p0, s3))),
% 49.91/32.54 inference(modus_ponens,[status(thm)],[11459, 11458])).
% 49.91/32.54 tff(11461,plain,
% 49.91/32.54 (node62(c_p0, s3) | node64(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_write_h_invalid) | node65(c_p0, s3) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | node63(c_p0, s3) | (~m_processor_v_master(c_p0, s3))),
% 49.91/32.54 inference(unit_resolution,[status(thm)],[11460, 7232, 2652])).
% 49.91/32.54 tff(11462,plain,
% 49.91/32.54 (~m_processor_v_snoop(c_p0, s3, c_invalid)),
% 49.91/32.54 inference(unit_resolution,[status(thm)],[11461, 11451, 9481, 11452, 11450, 11449, 11426])).
% 49.91/32.54 tff(11463,plain,
% 49.91/32.54 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | (m_processor_v_snoop(c_p0, s3, c_invalid) | (~node66(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | m_processor_v_snoop(c_p0, s3, c_invalid) | (~node66(c_p0, s3)))),
% 49.91/32.54 inference(rewrite,[status(thm)],[])).
% 49.91/32.54 tff(11464,plain,
% 49.91/32.54 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | (m_processor_v_snoop(c_p0, s3, c_invalid) | (~node66(c_p0, s3)))),
% 49.91/32.54 inference(quant_inst,[status(thm)],[])).
% 49.91/32.54 tff(11465,plain,
% 49.91/32.54 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | m_processor_v_snoop(c_p0, s3, c_invalid) | (~node66(c_p0, s3))),
% 49.91/32.54 inference(modus_ponens,[status(thm)],[11464, 11463])).
% 49.91/32.54 tff(11466,plain,
% 49.91/32.54 ($false),
% 49.91/32.54 inference(unit_resolution,[status(thm)],[11465, 9118, 11462, 11454])).
% 49.91/32.54 tff(11467,plain,(node65(c_p0, s3) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3) | node64(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_write_h_invalid) | node63(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_cmd(c_p0, s3, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.54 tff(11468,plain,
% 49.93/32.54 (node65(c_p0, s3)),
% 49.93/32.54 inference(unit_resolution,[status(thm)],[11467, 11440, 10136, 2652, 11425, 11426, 11449, 11387])).
% 49.93/32.54 tff(11469,plain,
% 49.93/32.54 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p0, s3, c_shared) | (~node65(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p0, s3, c_shared) | (~node65(c_p0, s3)))),
% 49.93/32.54 inference(rewrite,[status(thm)],[])).
% 49.93/32.54 tff(11470,plain,
% 49.93/32.54 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p0, s3, c_shared) | (~node65(c_p0, s3)))),
% 49.93/32.54 inference(quant_inst,[status(thm)],[])).
% 49.93/32.54 tff(11471,plain,
% 49.93/32.54 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p0, s3, c_shared) | (~node65(c_p0, s3))),
% 49.93/32.54 inference(modus_ponens,[status(thm)],[11470, 11469])).
% 49.93/32.54 tff(11472,plain,
% 49.93/32.54 ($false),
% 49.93/32.54 inference(unit_resolution,[status(thm)],[11471, 4107, 11468, 11448])).
% 49.93/32.54 tff(11473,plain,((~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | node63(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_idle) | m_processor_v_cmd(c_p0, s3, c_write_h_invalid) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.54 tff(11474,plain,
% 49.93/32.54 (m_processor_v_cmd(c_p0, s3, c_write_h_invalid)),
% 49.93/32.54 inference(unit_resolution,[status(thm)],[11473, 11421, 2652, 11410, 10136, 11406])).
% 49.93/32.54 tff(11475,plain,
% 49.93/32.54 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_invalid)) | m_main_v_CMD(s3, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_invalid)) | m_main_v_CMD(s3, c_write_h_invalid))),
% 49.93/32.54 inference(rewrite,[status(thm)],[])).
% 49.93/32.54 tff(11476,plain,
% 49.93/32.54 ((m_main_v_CMD(s3, c_write_h_invalid) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_invalid))) <=> ((~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_invalid)) | m_main_v_CMD(s3, c_write_h_invalid))),
% 49.93/32.54 inference(rewrite,[status(thm)],[])).
% 49.93/32.54 tff(11477,plain,
% 49.93/32.54 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s3, c_write_h_invalid) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_invalid)) | m_main_v_CMD(s3, c_write_h_invalid)))),
% 49.93/32.54 inference(monotonicity,[status(thm)],[11476])).
% 49.93/32.54 tff(11478,plain,
% 49.93/32.54 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s3, c_write_h_invalid) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_invalid)) | m_main_v_CMD(s3, c_write_h_invalid))),
% 49.93/32.54 inference(transitivity,[status(thm)],[11477, 11475])).
% 49.93/32.54 tff(11479,plain,
% 49.93/32.54 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s3, c_write_h_invalid) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_invalid)))),
% 49.93/32.54 inference(quant_inst,[status(thm)],[])).
% 49.93/32.54 tff(11480,plain,
% 49.93/32.54 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s3)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_invalid)) | m_main_v_CMD(s3, c_write_h_invalid)),
% 49.93/32.54 inference(modus_ponens,[status(thm)],[11479, 11478])).
% 49.93/32.54 tff(11481,plain,
% 49.93/32.54 ($false),
% 49.93/32.54 inference(unit_resolution,[status(thm)],[11480, 1669, 10679, 11474, 11397])).
% 49.93/32.54 tff(11482,plain,(m_processor_v_cmd(c_p0, s3, c_idle) | m_main_v_CMD(s3, c_write_h_invalid) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_main_v_CMD(s3, c_write_h_resp_h_invalid) | m_main_v_CMD(s3, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.54 tff(11483,plain,
% 49.93/32.54 (m_processor_v_cmd(c_p0, s3, c_idle)),
% 49.93/32.54 inference(unit_resolution,[status(thm)],[11482, 11386, 2652, 11382, 11378])).
% 49.93/32.54 tff(11484,assumption,(~m_main_v_CMD(s3, c_idle)), introduced(assumption)).
% 49.93/32.54 tff(11485,assumption,(node12(s3)), introduced(assumption)).
% 49.93/32.54 tff(11486,plain,
% 49.93/32.54 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s3, c_idle) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~node12(s3)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | m_main_v_CMD(s3, c_idle) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~node12(s3)))),
% 49.93/32.54 inference(rewrite,[status(thm)],[])).
% 49.93/32.54 tff(11487,plain,
% 49.93/32.54 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s3, c_idle) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~node12(s3)))),
% 49.93/32.54 inference(quant_inst,[status(thm)],[])).
% 49.93/32.54 tff(11488,plain,
% 49.93/32.54 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | m_main_v_CMD(s3, c_idle) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~node12(s3))),
% 49.93/32.54 inference(modus_ponens,[status(thm)],[11487, 11486])).
% 49.93/32.54 tff(11489,plain,
% 49.93/32.54 ($false),
% 49.93/32.54 inference(unit_resolution,[status(thm)],[11488, 2128, 10791, 11485, 11484])).
% 49.93/32.54 tff(11490,plain,(m_main_v_CMD(s3, c_idle) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~node12(s3))), inference(lemma,lemma(discharge,[]))).
% 49.93/32.54 tff(11491,plain,
% 49.93/32.54 (~node12(s3)),
% 49.93/32.54 inference(unit_resolution,[status(thm)],[11490, 10791, 11484])).
% 49.93/32.54 tff(11492,plain,
% 49.93/32.54 ($false),
% 49.93/32.54 inference(unit_resolution,[status(thm)],[10151, 1669, 10791, 11412, 11484])).
% 49.93/32.54 tff(11493,plain,(m_main_v_CMD(s3, c_idle) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~node8(s3))), inference(lemma,lemma(discharge,[]))).
% 49.93/32.54 tff(11494,plain,
% 49.93/32.54 (~node8(s3)),
% 49.93/32.54 inference(unit_resolution,[status(thm)],[11493, 10791, 11484])).
% 49.93/32.54 tff(11495,plain,
% 49.93/32.54 ((~m_processor_v_cmd(c_p2, s3, c_idle)) | node8(s3)),
% 49.93/32.54 inference(unit_resolution,[status(thm)],[9602, 1593, 9596, 9550])).
% 49.93/32.54 tff(11496,plain,
% 49.93/32.54 (~m_processor_v_cmd(c_p2, s3, c_idle)),
% 49.93/32.54 inference(unit_resolution,[status(thm)],[11495, 11494])).
% 49.93/32.54 tff(11497,plain,
% 49.93/32.54 (((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | ((~node9(s3)) | m_processor_v_cmd(c_p2, s3, c_idle))) <=> ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | (~node9(s3)) | m_processor_v_cmd(c_p2, s3, c_idle))),
% 49.93/32.54 inference(rewrite,[status(thm)],[])).
% 49.93/32.54 tff(11498,plain,
% 49.93/32.54 ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | ((~node9(s3)) | m_processor_v_cmd(c_p2, s3, c_idle))),
% 49.93/32.54 inference(quant_inst,[status(thm)],[])).
% 49.93/32.54 tff(11499,plain,
% 49.93/32.54 ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | (~node9(s3)) | m_processor_v_cmd(c_p2, s3, c_idle)),
% 49.93/32.54 inference(modus_ponens,[status(thm)],[11498, 11497])).
% 49.93/32.54 tff(11500,plain,
% 49.93/32.54 (~node9(s3)),
% 49.93/32.54 inference(unit_resolution,[status(thm)],[11499, 2146, 11496])).
% 49.93/32.54 tff(11501,plain,
% 49.93/32.54 (((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (m_processor_v_cmd(c_p2, s3, c_idle) | (~node11(s3)))) <=> ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | m_processor_v_cmd(c_p2, s3, c_idle) | (~node11(s3)))),
% 49.93/32.54 inference(rewrite,[status(thm)],[])).
% 49.93/32.54 tff(11502,plain,
% 49.93/32.54 ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (m_processor_v_cmd(c_p2, s3, c_idle) | (~node11(s3)))),
% 49.93/32.54 inference(quant_inst,[status(thm)],[])).
% 49.93/32.54 tff(11503,plain,
% 49.93/32.54 ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | m_processor_v_cmd(c_p2, s3, c_idle) | (~node11(s3))),
% 49.93/32.54 inference(modus_ponens,[status(thm)],[11502, 11501])).
% 49.93/32.54 tff(11504,plain,
% 49.93/32.54 (~node11(s3)),
% 49.93/32.54 inference(unit_resolution,[status(thm)],[11503, 2157, 11496])).
% 49.93/32.54 tff(11505,assumption,(~node12(s3)), introduced(assumption)).
% 49.93/32.54 tff(11506,assumption,(~node11(s3)), introduced(assumption)).
% 49.93/32.54 tff(11507,plain,
% 49.93/32.54 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | ((~m_processor_v_cmd(c_p0, s3, c_idle)) | node12(s3) | node9(s3) | node11(s3) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | node12(s3) | node9(s3) | node11(s3) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)))),
% 49.93/32.54 inference(rewrite,[status(thm)],[])).
% 49.93/32.54 tff(11508,plain,
% 49.93/32.54 ((node9(s3) | node11(s3) | node12(s3) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle))) <=> ((~m_processor_v_cmd(c_p0, s3, c_idle)) | node12(s3) | node9(s3) | node11(s3) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)))),
% 49.93/32.54 inference(rewrite,[status(thm)],[])).
% 49.93/32.54 tff(11509,plain,
% 49.93/32.54 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s3) | node11(s3) | node12(s3) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | ((~m_processor_v_cmd(c_p0, s3, c_idle)) | node12(s3) | node9(s3) | node11(s3) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle))))),
% 49.93/32.54 inference(monotonicity,[status(thm)],[11508])).
% 49.93/32.54 tff(11510,plain,
% 49.93/32.54 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s3) | node11(s3) | node12(s3) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | node12(s3) | node9(s3) | node11(s3) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)))),
% 49.93/32.54 inference(transitivity,[status(thm)],[11509, 11507])).
% 49.93/32.54 tff(11511,plain,
% 49.93/32.54 ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s3) | node11(s3) | node12(s3) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)))),
% 49.93/32.54 inference(quant_inst,[status(thm)],[])).
% 49.93/32.54 tff(11512,plain,
% 49.93/32.54 ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | node12(s3) | node9(s3) | node11(s3) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle))),
% 49.93/32.54 inference(modus_ponens,[status(thm)],[11511, 11510])).
% 49.93/32.54 tff(11513,plain,
% 49.93/32.54 ($false),
% 49.93/32.54 inference(unit_resolution,[status(thm)],[11512, 2171, 9596, 10791, 9550, 10789, 11506, 11505])).
% 49.93/32.54 tff(11514,plain,(node12(s3) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node9(s3) | node11(s3)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.54 tff(11515,plain,
% 49.93/32.54 ($false),
% 49.93/32.54 inference(unit_resolution,[status(thm)],[11514, 11504, 11500, 9550, 9596, 10791, 11491])).
% 49.93/32.54 tff(11516,plain,((~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | m_main_v_CMD(s3, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.54 tff(11517,plain,
% 49.93/32.54 ($false),
% 49.93/32.54 inference(unit_resolution,[status(thm)],[11516, 11483, 11374, 9550, 9596])).
% 49.93/32.54 tff(11518,plain,((~m_main_v_CMD(s3, c_read_h_shared)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_state(c_p0, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 49.93/32.54 tff(11519,plain,
% 49.93/32.54 (~m_main_v_CMD(s3, c_read_h_shared)),
% 49.93/32.54 inference(unit_resolution,[status(thm)],[11518, 9596, 9550, 2652])).
% 49.93/32.54 tff(11520,assumption,(m_processor_v_CMD(c_p0, s3, c_read_h_shared)), introduced(assumption)).
% 49.93/32.54 tff(11521,plain,
% 49.93/32.54 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | ((~node2(s3)) | m_main_v_CMD(s3, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (~node2(s3)) | m_main_v_CMD(s3, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))),
% 49.93/32.54 inference(rewrite,[status(thm)],[])).
% 49.93/32.54 tff(11522,plain,
% 49.93/32.54 ((m_main_v_CMD(s3, c_read_h_shared) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared))) <=> ((~node2(s3)) | m_main_v_CMD(s3, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))),
% 49.93/32.54 inference(rewrite,[status(thm)],[])).
% 49.93/32.54 tff(11523,plain,
% 49.93/32.54 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s3, c_read_h_shared) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | ((~node2(s3)) | m_main_v_CMD(s3, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared))))),
% 49.93/32.54 inference(monotonicity,[status(thm)],[11522])).
% 49.93/32.54 tff(11524,plain,
% 49.93/32.54 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s3, c_read_h_shared) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (~node2(s3)) | m_main_v_CMD(s3, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))),
% 49.93/32.54 inference(transitivity,[status(thm)],[11523, 11521])).
% 49.93/32.54 tff(11525,plain,
% 49.93/32.54 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s3, c_read_h_shared) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))),
% 49.93/32.54 inference(quant_inst,[status(thm)],[])).
% 49.93/32.54 tff(11526,plain,
% 49.93/32.54 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (~node2(s3)) | m_main_v_CMD(s3, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared))),
% 49.93/32.54 inference(modus_ponens,[status(thm)],[11525, 11524])).
% 49.93/32.54 tff(11527,plain,
% 49.93/32.54 ($false),
% 49.93/32.54 inference(unit_resolution,[status(thm)],[11526, 1612, 11520, 9605, 9538])).
% 49.93/32.54 tff(11528,plain,((~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | m_main_v_CMD(s3, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.54 tff(11529,plain,
% 49.93/32.54 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 49.93/32.54 inference(unit_resolution,[status(thm)],[11528, 11519])).
% 49.93/32.54 tff(11530,plain,
% 49.93/32.54 (~node47(c_p0, s3)),
% 49.93/32.54 inference(unit_resolution,[status(thm)],[9669, 657, 11529])).
% 49.93/32.54 tff(11531,plain,
% 49.93/32.54 (m_processor_v_cmd(c_p0, s3, c_idle)),
% 49.93/32.54 inference(unit_resolution,[status(thm)],[10144, 9405])).
% 49.93/32.54 tff(11532,plain,
% 49.93/32.54 (m_main_v_CMD(s3, c_idle)),
% 49.93/32.54 inference(unit_resolution,[status(thm)],[11516, 11531, 9550, 9596])).
% 49.93/32.54 tff(11533,plain,
% 49.93/32.54 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))),
% 49.93/32.54 inference(rewrite,[status(thm)],[])).
% 49.93/32.54 tff(11534,plain,
% 49.93/32.54 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))),
% 49.93/32.54 inference(quant_inst,[status(thm)],[])).
% 49.93/32.54 tff(11535,plain,
% 49.93/32.54 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared))),
% 49.93/32.54 inference(modus_ponens,[status(thm)],[11534, 11533])).
% 49.93/32.54 tff(11536,plain,
% 49.93/32.54 (~m_main_v_CMD(s3, c_write_h_resp_h_shared)),
% 49.93/32.54 inference(unit_resolution,[status(thm)],[11535, 7650, 11532])).
% 49.93/32.54 tff(11537,plain,
% 49.93/32.54 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)))),
% 49.93/32.54 inference(rewrite,[status(thm)],[])).
% 49.93/32.54 tff(11538,plain,
% 49.93/32.54 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)))),
% 49.93/32.54 inference(quant_inst,[status(thm)],[])).
% 49.93/32.54 tff(11539,plain,
% 49.93/32.54 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared))),
% 49.93/32.54 inference(modus_ponens,[status(thm)],[11538, 11537])).
% 49.93/32.54 tff(11540,plain,
% 49.93/32.54 (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)),
% 49.93/32.54 inference(unit_resolution,[status(thm)],[11539, 1612, 9538, 11536])).
% 49.93/32.54 tff(11541,assumption,(node51(c_p0, s3)), introduced(assumption)).
% 49.93/32.54 tff(11542,assumption,(~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)), introduced(assumption)).
% 49.93/32.54 tff(11543,plain,
% 49.93/32.54 (^[I0: $i, X: $i] : refl((m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X))) <=> (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X))))),
% 49.93/32.54 inference(bind,[status(th)],[])).
% 49.93/32.54 tff(11544,plain,
% 49.93/32.54 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))),
% 49.93/32.54 inference(quant_intro,[status(thm)],[11543])).
% 49.93/32.54 tff(11545,plain,
% 49.93/32.54 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))),
% 49.93/32.54 inference(rewrite,[status(thm)],[])).
% 49.93/32.54 tff(11546,axiom,(![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_105')).
% 49.93/32.54 tff(11547,plain,
% 49.93/32.54 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))),
% 49.93/32.54 inference(modus_ponens,[status(thm)],[11546, 11545])).
% 49.93/32.54 tff(11548,plain,(
% 49.93/32.54 ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))),
% 49.93/32.54 inference(skolemize,[status(sab)],[11547])).
% 49.93/32.54 tff(11549,plain,
% 49.93/32.54 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))),
% 49.93/32.54 inference(modus_ponens,[status(thm)],[11548, 11544])).
% 49.93/32.54 tff(11550,plain,
% 49.93/32.54 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | (~node51(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | (~node51(c_p0, s3)))),
% 49.93/32.54 inference(rewrite,[status(thm)],[])).
% 49.93/32.54 tff(11551,plain,
% 49.93/32.54 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | (~node51(c_p0, s3)))),
% 49.93/32.54 inference(quant_inst,[status(thm)],[])).
% 49.93/32.54 tff(11552,plain,
% 49.93/32.54 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | (~node51(c_p0, s3))),
% 49.93/32.55 inference(modus_ponens,[status(thm)],[11551, 11550])).
% 49.93/32.55 tff(11553,plain,
% 49.93/32.55 ($false),
% 49.93/32.55 inference(unit_resolution,[status(thm)],[11552, 11549, 11542, 11541])).
% 49.93/32.55 tff(11554,plain,((~node51(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.55 tff(11555,plain,
% 49.93/32.55 (~node51(c_p0, s3)),
% 49.93/32.55 inference(unit_resolution,[status(thm)],[11554, 11540])).
% 49.93/32.55 tff(11556,plain,
% 49.93/32.55 (^[I0: $i, X: $i] : refl((m_processor_v_master(I0, X) | (~node48(I0, X))) <=> (m_processor_v_master(I0, X) | (~node48(I0, X))))),
% 49.93/32.55 inference(bind,[status(th)],[])).
% 49.93/32.55 tff(11557,plain,
% 49.93/32.55 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))),
% 49.93/32.55 inference(quant_intro,[status(thm)],[11556])).
% 49.93/32.55 tff(11558,plain,
% 49.93/32.55 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))),
% 49.93/32.55 inference(rewrite,[status(thm)],[])).
% 49.93/32.55 tff(11559,axiom,(![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_98')).
% 49.93/32.55 tff(11560,plain,
% 49.93/32.55 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))),
% 49.93/32.55 inference(modus_ponens,[status(thm)],[11559, 11558])).
% 49.93/32.55 tff(11561,plain,(
% 49.93/32.55 ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))),
% 49.93/32.55 inference(skolemize,[status(sab)],[11560])).
% 49.93/32.55 tff(11562,plain,
% 49.93/32.55 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))),
% 49.93/32.55 inference(modus_ponens,[status(thm)],[11561, 11557])).
% 49.93/32.55 tff(11563,plain,
% 49.93/32.55 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node48(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node48(c_p0, s3)))),
% 49.93/32.55 inference(rewrite,[status(thm)],[])).
% 49.93/32.55 tff(11564,plain,
% 49.93/32.55 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node48(c_p0, s3)))),
% 49.93/32.55 inference(quant_inst,[status(thm)],[])).
% 49.93/32.55 tff(11565,plain,
% 49.93/32.55 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node48(c_p0, s3))),
% 49.93/32.55 inference(modus_ponens,[status(thm)],[11564, 11563])).
% 49.93/32.55 tff(11566,plain,
% 49.93/32.55 (~node48(c_p0, s3)),
% 49.93/32.55 inference(unit_resolution,[status(thm)],[11565, 11562, 9405])).
% 49.93/32.55 tff(11567,assumption,(~node47(c_p0, s3)), introduced(assumption)).
% 49.93/32.55 tff(11568,plain,
% 49.93/32.55 (~m_main_v_CMD(s3, c_response)),
% 49.93/32.55 inference(unit_resolution,[status(thm)],[10100, 10097, 11532])).
% 49.93/32.55 tff(11569,plain,
% 49.93/32.55 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s3, c_response) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s3, c_response) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_response)))),
% 49.93/32.55 inference(rewrite,[status(thm)],[])).
% 49.93/32.55 tff(11570,plain,
% 49.93/32.55 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s3, c_response) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_response)))),
% 49.93/32.55 inference(quant_inst,[status(thm)],[])).
% 49.93/32.55 tff(11571,plain,
% 49.93/32.55 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s3, c_response) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_response))),
% 49.93/32.55 inference(modus_ponens,[status(thm)],[11570, 11569])).
% 49.93/32.55 tff(11572,plain,
% 49.93/32.55 (~m_processor_v_CMD(c_p0, s3, c_response)),
% 49.93/32.55 inference(unit_resolution,[status(thm)],[11571, 1612, 9538, 11568])).
% 49.93/32.55 tff(11573,plain,
% 49.93/32.55 (^[I0: $i, X: $i] : refl((m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X))) <=> (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X))))),
% 49.93/32.55 inference(bind,[status(th)],[])).
% 49.93/32.55 tff(11574,plain,
% 49.93/32.55 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))),
% 49.93/32.55 inference(quant_intro,[status(thm)],[11573])).
% 49.93/32.55 tff(11575,plain,
% 49.93/32.55 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))),
% 49.93/32.55 inference(rewrite,[status(thm)],[])).
% 49.93/32.55 tff(11576,axiom,(![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_101')).
% 49.93/32.55 tff(11577,plain,
% 49.93/32.55 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))),
% 49.93/32.55 inference(modus_ponens,[status(thm)],[11576, 11575])).
% 49.93/32.55 tff(11578,plain,(
% 49.93/32.55 ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))),
% 49.93/32.55 inference(skolemize,[status(sab)],[11577])).
% 49.93/32.55 tff(11579,plain,
% 49.93/32.55 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))),
% 49.93/32.55 inference(modus_ponens,[status(thm)],[11578, 11574])).
% 49.93/32.55 tff(11580,plain,
% 49.93/32.55 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_response) | (~node49(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_response) | (~node49(c_p0, s3)))),
% 49.93/32.55 inference(rewrite,[status(thm)],[])).
% 49.93/32.55 tff(11581,plain,
% 49.93/32.55 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_response) | (~node49(c_p0, s3)))),
% 49.93/32.55 inference(quant_inst,[status(thm)],[])).
% 49.93/32.55 tff(11582,plain,
% 49.93/32.55 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_response) | (~node49(c_p0, s3))),
% 49.93/32.55 inference(modus_ponens,[status(thm)],[11581, 11580])).
% 49.93/32.55 tff(11583,plain,
% 49.93/32.55 (~node49(c_p0, s3)),
% 49.93/32.55 inference(unit_resolution,[status(thm)],[11582, 11579, 11572])).
% 49.93/32.55 tff(11584,plain,
% 49.93/32.55 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)))),
% 49.93/32.55 inference(rewrite,[status(thm)],[])).
% 49.93/32.55 tff(11585,plain,
% 49.93/32.55 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)))),
% 49.93/32.55 inference(quant_inst,[status(thm)],[])).
% 49.93/32.55 tff(11586,plain,
% 49.93/32.55 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid))),
% 49.93/32.55 inference(modus_ponens,[status(thm)],[11585, 11584])).
% 49.93/32.55 tff(11587,plain,
% 49.93/32.55 (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)),
% 49.93/32.55 inference(unit_resolution,[status(thm)],[11586, 7663, 11532])).
% 49.93/32.55 tff(11588,plain,
% 49.93/32.55 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)))),
% 49.93/32.55 inference(rewrite,[status(thm)],[])).
% 49.93/32.55 tff(11589,plain,
% 49.93/32.55 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)))),
% 49.93/32.55 inference(quant_inst,[status(thm)],[])).
% 49.93/32.55 tff(11590,plain,
% 49.93/32.55 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node2(s3)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid))),
% 49.93/32.55 inference(modus_ponens,[status(thm)],[11589, 11588])).
% 49.93/32.55 tff(11591,plain,
% 49.93/32.55 (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)),
% 49.93/32.55 inference(unit_resolution,[status(thm)],[11590, 1612, 11587, 9538])).
% 49.93/32.55 tff(11592,plain,
% 49.93/32.55 (^[I0: $i, X: $i] : refl((m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X))) <=> (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X))))),
% 49.93/32.55 inference(bind,[status(th)],[])).
% 49.93/32.55 tff(11593,plain,
% 49.93/32.55 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))),
% 49.93/32.55 inference(quant_intro,[status(thm)],[11592])).
% 49.93/32.55 tff(11594,plain,
% 49.93/32.55 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))),
% 49.93/32.55 inference(rewrite,[status(thm)],[])).
% 49.93/32.55 tff(11595,axiom,(![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_103')).
% 49.93/32.55 tff(11596,plain,
% 49.93/32.55 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))),
% 49.93/32.55 inference(modus_ponens,[status(thm)],[11595, 11594])).
% 49.93/32.55 tff(11597,plain,(
% 49.93/32.55 ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))),
% 49.93/32.55 inference(skolemize,[status(sab)],[11596])).
% 49.93/32.55 tff(11598,plain,
% 49.93/32.55 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))),
% 49.93/32.55 inference(modus_ponens,[status(thm)],[11597, 11593])).
% 49.93/32.55 tff(11599,plain,
% 49.93/32.55 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~node50(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~node50(c_p0, s3)))),
% 49.93/32.55 inference(rewrite,[status(thm)],[])).
% 49.93/32.55 tff(11600,plain,
% 49.93/32.55 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~node50(c_p0, s3)))),
% 49.93/32.55 inference(quant_inst,[status(thm)],[])).
% 49.93/32.55 tff(11601,plain,
% 49.93/32.55 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~node50(c_p0, s3))),
% 49.93/32.55 inference(modus_ponens,[status(thm)],[11600, 11599])).
% 49.93/32.55 tff(11602,plain,
% 49.93/32.55 (~node50(c_p0, s3)),
% 49.93/32.55 inference(unit_resolution,[status(thm)],[11601, 11598, 11591])).
% 49.93/32.55 tff(11603,plain,
% 49.93/32.55 (^[Y: $i, I0: $i, X: $i] : refl((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y))) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y))))),
% 49.93/32.55 inference(bind,[status(th)],[])).
% 49.93/32.55 tff(11604,plain,
% 49.93/32.55 (![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))),
% 49.93/32.55 inference(quant_intro,[status(thm)],[11603])).
% 49.93/32.55 tff(11605,plain,
% 49.93/32.55 (![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))),
% 49.93/32.55 inference(rewrite,[status(thm)],[])).
% 49.93/32.55 tff(11606,plain,
% 49.93/32.55 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X))), ((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) <=> ((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X)) | node49(I0, X)))), rewrite(((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X)) | node49(I0, X)) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X))), ((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X)))), (((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) <=> ((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X)) | node50(I0, X)))), rewrite(((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X)) | node50(I0, X)) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X))), (((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X)))), ((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) | node51(I0, X)) <=> ((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X)) | node51(I0, X)))), rewrite(((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X)) | node51(I0, X)) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X))), ((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) | node51(I0, X)) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X)))), (((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) | node51(I0, X)) | node52(I0, X, Y)) <=> ((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X)) | node52(I0, X, Y)))), rewrite(((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X)) | node52(I0, X, Y)) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y))), (((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) | node51(I0, X)) | node52(I0, X, Y)) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y)))), ((((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) | node51(I0, X)) | node52(I0, X, Y)) | (~node53(I0, X, Y))) <=> ((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y)) | (~node53(I0, X, Y))))), rewrite(((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y)) | (~node53(I0, X, Y))) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))), ((((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) | node51(I0, X)) | node52(I0, X, Y)) | (~node53(I0, X, Y))) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))))),
% 49.93/32.55 inference(bind,[status(th)],[])).
% 49.93/32.55 tff(11607,plain,
% 49.93/32.55 (![Y: $i, I0: $i, X: $i] : (((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) | node51(I0, X)) | node52(I0, X, Y)) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))),
% 49.93/32.55 inference(quant_intro,[status(thm)],[11606])).
% 49.93/32.55 tff(11608,axiom,(![Y: $i, I0: $i, X: $i] : (((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) | node51(I0, X)) | node52(I0, X, Y)) | (~node53(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_114')).
% 49.93/32.55 tff(11609,plain,
% 49.93/32.55 (![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))),
% 49.93/32.55 inference(modus_ponens,[status(thm)],[11608, 11607])).
% 49.93/32.55 tff(11610,plain,
% 49.93/32.55 (![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))),
% 49.93/32.55 inference(modus_ponens,[status(thm)],[11609, 11605])).
% 49.93/32.55 tff(11611,plain,(
% 49.93/32.55 ![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))),
% 49.93/32.55 inference(skolemize,[status(sab)],[11610])).
% 49.93/32.55 tff(11612,plain,
% 49.93/32.55 (![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))),
% 49.93/32.55 inference(modus_ponens,[status(thm)],[11611, 11604])).
% 49.93/32.55 tff(11613,plain,
% 49.93/32.55 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s3) | node48(c_p0, s3) | node47(c_p0, s3) | node51(c_p0, s3) | node50(c_p0, s3) | node49(c_p0, s3) | (~node53(c_p0, s3, s4)) | node52(c_p0, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p0, s3) | node48(c_p0, s3) | node47(c_p0, s3) | node51(c_p0, s3) | node50(c_p0, s3) | node49(c_p0, s3) | (~node53(c_p0, s3, s4)) | node52(c_p0, s3, s4))),
% 49.93/32.55 inference(rewrite,[status(thm)],[])).
% 49.93/32.55 tff(11614,plain,
% 49.93/32.55 ((m_processor_v_abort(c_p0, s3) | node47(c_p0, s3) | node48(c_p0, s3) | node49(c_p0, s3) | node50(c_p0, s3) | node51(c_p0, s3) | node52(c_p0, s3, s4) | (~node53(c_p0, s3, s4))) <=> (m_processor_v_abort(c_p0, s3) | node48(c_p0, s3) | node47(c_p0, s3) | node51(c_p0, s3) | node50(c_p0, s3) | node49(c_p0, s3) | (~node53(c_p0, s3, s4)) | node52(c_p0, s3, s4))),
% 49.93/32.55 inference(rewrite,[status(thm)],[])).
% 49.93/32.55 tff(11615,plain,
% 49.93/32.55 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s3) | node47(c_p0, s3) | node48(c_p0, s3) | node49(c_p0, s3) | node50(c_p0, s3) | node51(c_p0, s3) | node52(c_p0, s3, s4) | (~node53(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s3) | node48(c_p0, s3) | node47(c_p0, s3) | node51(c_p0, s3) | node50(c_p0, s3) | node49(c_p0, s3) | (~node53(c_p0, s3, s4)) | node52(c_p0, s3, s4)))),
% 49.93/32.55 inference(monotonicity,[status(thm)],[11614])).
% 49.93/32.55 tff(11616,plain,
% 49.93/32.55 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s3) | node47(c_p0, s3) | node48(c_p0, s3) | node49(c_p0, s3) | node50(c_p0, s3) | node51(c_p0, s3) | node52(c_p0, s3, s4) | (~node53(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p0, s3) | node48(c_p0, s3) | node47(c_p0, s3) | node51(c_p0, s3) | node50(c_p0, s3) | node49(c_p0, s3) | (~node53(c_p0, s3, s4)) | node52(c_p0, s3, s4))),
% 49.93/32.55 inference(transitivity,[status(thm)],[11615, 11613])).
% 49.93/32.55 tff(11617,plain,
% 49.93/32.55 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s3) | node47(c_p0, s3) | node48(c_p0, s3) | node49(c_p0, s3) | node50(c_p0, s3) | node51(c_p0, s3) | node52(c_p0, s3, s4) | (~node53(c_p0, s3, s4)))),
% 49.93/32.55 inference(quant_inst,[status(thm)],[])).
% 49.93/32.55 tff(11618,plain,
% 49.93/32.55 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p0, s3) | node48(c_p0, s3) | node47(c_p0, s3) | node51(c_p0, s3) | node50(c_p0, s3) | node49(c_p0, s3) | (~node53(c_p0, s3, s4)) | node52(c_p0, s3, s4)),
% 49.93/32.55 inference(modus_ponens,[status(thm)],[11617, 11616])).
% 49.93/32.55 tff(11619,plain,
% 49.93/32.55 (m_processor_v_abort(c_p0, s3) | node48(c_p0, s3) | node47(c_p0, s3) | node51(c_p0, s3) | node50(c_p0, s3) | node49(c_p0, s3) | node52(c_p0, s3, s4)),
% 49.93/32.55 inference(unit_resolution,[status(thm)],[11618, 11612, 9658])).
% 49.93/32.55 tff(11620,plain,
% 49.93/32.55 ($false),
% 49.93/32.55 inference(unit_resolution,[status(thm)],[11619, 11602, 11583, 11370, 11567, 9678, 11566, 11555])).
% 49.93/32.55 tff(11621,plain,(m_processor_v_master(c_p0, s3) | node52(c_p0, s3, s4) | node47(c_p0, s3) | m_processor_v_abort(c_p0, s3) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle))), inference(lemma,lemma(discharge,[]))).
% 49.93/32.55 tff(11622,plain,
% 49.93/32.55 (m_processor_v_master(c_p0, s3)),
% 49.93/32.55 inference(unit_resolution,[status(thm)],[11621, 9678, 11530, 11370, 9550, 9596])).
% 49.93/32.55 tff(11623,plain,
% 49.93/32.55 (node34(c_p0, s3, s4)),
% 49.93/32.55 inference(unit_resolution,[status(thm)],[9522, 11622, 9678])).
% 49.93/32.55 tff(11624,plain,
% 49.93/32.55 (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)),
% 49.93/32.55 inference(unit_resolution,[status(thm)],[9665, 11622, 9816, 9678, 11530])).
% 49.93/32.55 tff(11625,assumption,(~m_processor_v_snoop(c_p0, s3, c_shared)), introduced(assumption)).
% 49.93/32.55 tff(11626,assumption,(~m_processor_v_snoop(c_p0, s3, c_owned)), introduced(assumption)).
% 49.93/32.55 tff(11627,plain,
% 49.93/32.55 (~node64(c_p0, s3)),
% 49.93/32.55 inference(unit_resolution,[status(thm)],[11439, 4082, 11626])).
% 49.93/32.55 tff(11628,plain,
% 49.93/32.55 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s3, c_invalid) | m_processor_v_snoop(c_p0, s3, c_shared) | m_processor_v_snoop(c_p0, s3, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p0, s3, c_invalid) | m_processor_v_snoop(c_p0, s3, c_shared) | m_processor_v_snoop(c_p0, s3, c_owned))),
% 49.93/32.55 inference(rewrite,[status(thm)],[])).
% 49.93/32.55 tff(11629,plain,
% 49.93/32.55 ((m_processor_v_snoop(c_p0, s3, c_shared) | m_processor_v_snoop(c_p0, s3, c_owned) | m_processor_v_snoop(c_p0, s3, c_invalid)) <=> (m_processor_v_snoop(c_p0, s3, c_invalid) | m_processor_v_snoop(c_p0, s3, c_shared) | m_processor_v_snoop(c_p0, s3, c_owned))),
% 49.93/32.55 inference(rewrite,[status(thm)],[])).
% 49.93/32.55 tff(11630,plain,
% 49.93/32.55 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s3, c_shared) | m_processor_v_snoop(c_p0, s3, c_owned) | m_processor_v_snoop(c_p0, s3, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s3, c_invalid) | m_processor_v_snoop(c_p0, s3, c_shared) | m_processor_v_snoop(c_p0, s3, c_owned)))),
% 49.93/32.55 inference(monotonicity,[status(thm)],[11629])).
% 49.93/32.55 tff(11631,plain,
% 49.93/32.55 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s3, c_shared) | m_processor_v_snoop(c_p0, s3, c_owned) | m_processor_v_snoop(c_p0, s3, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p0, s3, c_invalid) | m_processor_v_snoop(c_p0, s3, c_shared) | m_processor_v_snoop(c_p0, s3, c_owned))),
% 49.93/32.55 inference(transitivity,[status(thm)],[11630, 11628])).
% 49.93/32.55 tff(11632,plain,
% 49.93/32.55 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s3, c_shared) | m_processor_v_snoop(c_p0, s3, c_owned) | m_processor_v_snoop(c_p0, s3, c_invalid))),
% 49.93/32.55 inference(quant_inst,[status(thm)],[])).
% 49.93/32.55 tff(11633,plain,
% 49.93/32.55 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p0, s3, c_invalid) | m_processor_v_snoop(c_p0, s3, c_shared) | m_processor_v_snoop(c_p0, s3, c_owned)),
% 49.93/32.55 inference(modus_ponens,[status(thm)],[11632, 11631])).
% 49.93/32.55 tff(11634,plain,
% 49.93/32.55 (m_processor_v_snoop(c_p0, s3, c_invalid) | m_processor_v_snoop(c_p0, s3, c_shared)),
% 49.93/32.55 inference(unit_resolution,[status(thm)],[11633, 7213, 11626])).
% 49.93/32.55 tff(11635,plain,
% 49.93/32.55 (m_processor_v_snoop(c_p0, s3, c_invalid)),
% 49.93/32.55 inference(unit_resolution,[status(thm)],[11634, 11625])).
% 49.93/32.55 tff(11636,plain,
% 49.93/32.55 (node62(c_p0, s3) | node64(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_write_h_invalid) | node65(c_p0, s3) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | node63(c_p0, s3)),
% 49.93/32.55 inference(unit_resolution,[status(thm)],[11460, 7232, 2652, 9481])).
% 49.93/32.55 tff(11637,plain,
% 49.93/32.55 (node65(c_p0, s3)),
% 49.93/32.55 inference(unit_resolution,[status(thm)],[11636, 11635, 11452, 11449, 11410, 11627])).
% 49.93/32.55 tff(11638,plain,
% 49.93/32.55 ($false),
% 49.93/32.55 inference(unit_resolution,[status(thm)],[11471, 4107, 11637, 11625])).
% 49.93/32.55 tff(11639,plain,(m_processor_v_snoop(c_p0, s3, c_shared) | node62(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_write_h_invalid) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_snoop(c_p0, s3, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.55 tff(11640,plain,
% 49.93/32.55 (m_processor_v_cmd(c_p0, s3, c_write_h_invalid)),
% 49.93/32.55 inference(unit_resolution,[status(thm)],[11639, 11622, 2652, 11425, 11626, 11625])).
% 49.93/32.55 tff(11641,assumption,(m_processor_v_cmd(c_p0, s3, c_write_h_invalid)), introduced(assumption)).
% 49.93/32.55 tff(11642,plain,
% 49.93/32.55 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid))) <=> ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid))))),
% 49.93/32.55 inference(bind,[status(th)],[])).
% 49.93/32.55 tff(11643,plain,
% 49.93/32.55 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))),
% 49.93/32.55 inference(quant_intro,[status(thm)],[11642])).
% 49.93/32.55 tff(11644,plain,
% 49.93/32.55 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))),
% 49.93/32.55 inference(rewrite,[status(thm)],[])).
% 49.93/32.55 tff(11645,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_11')).
% 49.93/32.55 tff(11646,plain,
% 49.93/32.55 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))),
% 49.93/32.55 inference(modus_ponens,[status(thm)],[11645, 11644])).
% 49.93/32.55 tff(11647,plain,(
% 49.93/32.55 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))),
% 49.93/32.55 inference(skolemize,[status(sab)],[11646])).
% 49.93/32.55 tff(11648,plain,
% 49.93/32.55 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))),
% 49.93/32.55 inference(modus_ponens,[status(thm)],[11647, 11643])).
% 49.93/32.55 tff(11649,plain,
% 49.93/32.55 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s3, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s3, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_invalid)))),
% 49.93/32.55 inference(rewrite,[status(thm)],[])).
% 49.93/32.55 tff(11650,plain,
% 49.93/32.55 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s3, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_invalid)))),
% 49.93/32.55 inference(quant_inst,[status(thm)],[])).
% 49.93/32.55 tff(11651,plain,
% 49.93/32.55 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s3, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_invalid))),
% 49.93/32.55 inference(modus_ponens,[status(thm)],[11650, 11649])).
% 49.93/32.55 tff(11652,plain,
% 49.93/32.55 (~m_processor_v_cmd(c_p0, s3, c_read_h_shared)),
% 49.93/32.55 inference(unit_resolution,[status(thm)],[11651, 11648, 11641])).
% 49.93/32.55 tff(11653,plain,
% 49.93/32.55 (m_main_v_CMD(s3, c_write_h_invalid)),
% 49.93/32.55 inference(unit_resolution,[status(thm)],[11480, 1669, 11641, 11412])).
% 49.93/32.55 tff(11654,assumption,(~m_processor_v_CMD(c_p0, s3, c_write_h_invalid)), introduced(assumption)).
% 49.93/32.55 tff(11655,plain,
% 49.93/32.55 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | (~m_main_v_CMD(s3, c_write_h_invalid)) | (~node2(s3)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | (~m_main_v_CMD(s3, c_write_h_invalid)) | (~node2(s3)))),
% 49.93/32.55 inference(rewrite,[status(thm)],[])).
% 49.93/32.55 tff(11656,plain,
% 49.93/32.55 (((~m_main_v_CMD(s3, c_write_h_invalid)) | (~node2(s3)) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid)) <=> (m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | (~m_main_v_CMD(s3, c_write_h_invalid)) | (~node2(s3)))),
% 49.93/32.55 inference(rewrite,[status(thm)],[])).
% 49.93/32.55 tff(11657,plain,
% 49.93/32.55 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_write_h_invalid)) | (~node2(s3)) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | (~m_main_v_CMD(s3, c_write_h_invalid)) | (~node2(s3))))),
% 49.93/32.55 inference(monotonicity,[status(thm)],[11656])).
% 49.93/32.55 tff(11658,plain,
% 49.93/32.55 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_write_h_invalid)) | (~node2(s3)) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | (~m_main_v_CMD(s3, c_write_h_invalid)) | (~node2(s3)))),
% 49.93/32.55 inference(transitivity,[status(thm)],[11657, 11655])).
% 49.93/32.55 tff(11659,plain,
% 49.93/32.55 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_write_h_invalid)) | (~node2(s3)) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid))),
% 49.93/32.55 inference(quant_inst,[status(thm)],[])).
% 49.93/32.55 tff(11660,plain,
% 49.93/32.55 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | (~m_main_v_CMD(s3, c_write_h_invalid)) | (~node2(s3))),
% 49.93/32.55 inference(modus_ponens,[status(thm)],[11659, 11658])).
% 49.93/32.55 tff(11661,plain,
% 49.93/32.55 ($false),
% 49.93/32.55 inference(unit_resolution,[status(thm)],[11660, 1228, 10621, 9538, 11654])).
% 49.93/32.55 tff(11662,plain,((~m_main_v_CMD(s3, c_write_h_invalid)) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.55 tff(11663,plain,
% 49.93/32.55 (m_processor_v_CMD(c_p0, s3, c_write_h_invalid)),
% 49.93/32.55 inference(unit_resolution,[status(thm)],[11662, 11653])).
% 49.93/32.56 tff(11664,plain,
% 49.93/32.56 (m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[9757, 11663, 9645])).
% 49.93/32.56 tff(11665,plain,
% 49.93/32.56 (m_main_v_CMD(s3, c_read_h_shared)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11528, 11664])).
% 49.93/32.56 tff(11666,plain,
% 49.93/32.56 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~node8(s3)) | m_processor_v_cmd(c_p0, s3, c_read_h_shared) | (~m_main_v_CMD(s3, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s3)) | m_processor_v_cmd(c_p0, s3, c_read_h_shared) | (~m_main_v_CMD(s3, c_read_h_shared)))),
% 49.93/32.56 inference(rewrite,[status(thm)],[])).
% 49.93/32.56 tff(11667,plain,
% 49.93/32.56 (((~m_main_v_CMD(s3, c_read_h_shared)) | (~node8(s3)) | m_processor_v_cmd(c_p0, s3, c_read_h_shared)) <=> ((~node8(s3)) | m_processor_v_cmd(c_p0, s3, c_read_h_shared) | (~m_main_v_CMD(s3, c_read_h_shared)))),
% 49.93/32.56 inference(rewrite,[status(thm)],[])).
% 49.93/32.56 tff(11668,plain,
% 49.93/32.56 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~node8(s3)) | m_processor_v_cmd(c_p0, s3, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~node8(s3)) | m_processor_v_cmd(c_p0, s3, c_read_h_shared) | (~m_main_v_CMD(s3, c_read_h_shared))))),
% 49.93/32.56 inference(monotonicity,[status(thm)],[11667])).
% 49.93/32.56 tff(11669,plain,
% 49.93/32.56 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~node8(s3)) | m_processor_v_cmd(c_p0, s3, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s3)) | m_processor_v_cmd(c_p0, s3, c_read_h_shared) | (~m_main_v_CMD(s3, c_read_h_shared)))),
% 49.93/32.56 inference(transitivity,[status(thm)],[11668, 11666])).
% 49.93/32.56 tff(11670,plain,
% 49.93/32.56 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~node8(s3)) | m_processor_v_cmd(c_p0, s3, c_read_h_shared))),
% 49.93/32.56 inference(quant_inst,[status(thm)],[])).
% 49.93/32.56 tff(11671,plain,
% 49.93/32.56 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s3)) | m_processor_v_cmd(c_p0, s3, c_read_h_shared) | (~m_main_v_CMD(s3, c_read_h_shared))),
% 49.93/32.56 inference(modus_ponens,[status(thm)],[11670, 11669])).
% 49.93/32.56 tff(11672,plain,
% 49.93/32.56 ($false),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11671, 2191, 11665, 11652, 11412])).
% 49.93/32.56 tff(11673,plain,((~m_processor_v_cmd(c_p0, s3, c_write_h_invalid)) | (~node8(s3)) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_invalid) | (~node34(c_p0, s3, s4))), inference(lemma,lemma(discharge,[]))).
% 49.93/32.56 tff(11674,plain,
% 49.93/32.56 (~node8(s3)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11673, 11640, 1095, 11624, 11623])).
% 49.93/32.56 tff(11675,plain,
% 49.93/32.56 (~m_processor_v_cmd(c_p2, s3, c_idle)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11495, 11674])).
% 49.93/32.56 tff(11676,plain,
% 49.93/32.56 (m_processor_v_master(c_p2, s3)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[9594, 11675])).
% 49.93/32.56 tff(11677,plain,
% 49.93/32.56 (node16(s3)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[9562, 11676])).
% 49.93/32.56 tff(11678,plain,
% 49.93/32.56 ($false),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[9554, 1530, 11622, 11677])).
% 49.93/32.56 tff(11679,plain,(m_processor_v_abort(c_p0, s3) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_waiting(c_p0, s4) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_snoop(c_p0, s3, c_owned) | m_processor_v_snoop(c_p0, s3, c_shared) | node52(c_p0, s3, s4)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.56 tff(11680,plain,
% 49.93/32.56 (m_processor_v_abort(c_p0, s3)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11679, 11369, 9596, 1095, 9550, 2652, 11360, 9816, 10829])).
% 49.93/32.56 tff(11681,plain,
% 49.93/32.56 (^[Y: $i, I0: $i, X: $i] : refl(((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y))) <=> ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y))))),
% 49.93/32.56 inference(bind,[status(th)],[])).
% 49.93/32.56 tff(11682,plain,
% 49.93/32.56 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))),
% 49.93/32.56 inference(quant_intro,[status(thm)],[11681])).
% 49.93/32.56 tff(11683,plain,
% 49.93/32.56 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))),
% 49.93/32.56 inference(rewrite,[status(thm)],[])).
% 49.93/32.56 tff(11684,plain,
% 49.93/32.56 (^[Y: $i, I0: $i, X: $i] : rewrite((((~m_processor_v_abort(I0, X)) | node46(I0, X, Y)) | (~node53(I0, X, Y))) <=> ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y))))),
% 49.93/32.56 inference(bind,[status(th)],[])).
% 49.93/32.56 tff(11685,plain,
% 49.93/32.56 (![Y: $i, I0: $i, X: $i] : (((~m_processor_v_abort(I0, X)) | node46(I0, X, Y)) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))),
% 49.93/32.56 inference(quant_intro,[status(thm)],[11684])).
% 49.93/32.56 tff(11686,axiom,(![Y: $i, I0: $i, X: $i] : (((~m_processor_v_abort(I0, X)) | node46(I0, X, Y)) | (~node53(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_108')).
% 49.93/32.56 tff(11687,plain,
% 49.93/32.56 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))),
% 49.93/32.56 inference(modus_ponens,[status(thm)],[11686, 11685])).
% 49.93/32.56 tff(11688,plain,
% 49.93/32.56 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))),
% 49.93/32.56 inference(modus_ponens,[status(thm)],[11687, 11683])).
% 49.93/32.56 tff(11689,plain,(
% 49.93/32.56 ![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))),
% 49.93/32.56 inference(skolemize,[status(sab)],[11688])).
% 49.93/32.56 tff(11690,plain,
% 49.93/32.56 (![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))),
% 49.93/32.56 inference(modus_ponens,[status(thm)],[11689, 11682])).
% 49.93/32.56 tff(11691,plain,
% 49.93/32.56 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s3)) | (~node53(c_p0, s3, s4)) | node46(c_p0, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s3)) | (~node53(c_p0, s3, s4)) | node46(c_p0, s3, s4))),
% 49.93/32.56 inference(rewrite,[status(thm)],[])).
% 49.93/32.56 tff(11692,plain,
% 49.93/32.56 (((~m_processor_v_abort(c_p0, s3)) | node46(c_p0, s3, s4) | (~node53(c_p0, s3, s4))) <=> ((~m_processor_v_abort(c_p0, s3)) | (~node53(c_p0, s3, s4)) | node46(c_p0, s3, s4))),
% 49.93/32.56 inference(rewrite,[status(thm)],[])).
% 49.93/32.56 tff(11693,plain,
% 49.93/32.56 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s3)) | node46(c_p0, s3, s4) | (~node53(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s3)) | (~node53(c_p0, s3, s4)) | node46(c_p0, s3, s4)))),
% 49.93/32.56 inference(monotonicity,[status(thm)],[11692])).
% 49.93/32.56 tff(11694,plain,
% 49.93/32.56 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s3)) | node46(c_p0, s3, s4) | (~node53(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s3)) | (~node53(c_p0, s3, s4)) | node46(c_p0, s3, s4))),
% 49.93/32.56 inference(transitivity,[status(thm)],[11693, 11691])).
% 49.93/32.56 tff(11695,plain,
% 49.93/32.56 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s3)) | node46(c_p0, s3, s4) | (~node53(c_p0, s3, s4)))),
% 49.93/32.56 inference(quant_inst,[status(thm)],[])).
% 49.93/32.56 tff(11696,plain,
% 49.93/32.56 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s3)) | (~node53(c_p0, s3, s4)) | node46(c_p0, s3, s4)),
% 49.93/32.56 inference(modus_ponens,[status(thm)],[11695, 11694])).
% 49.93/32.56 tff(11697,plain,
% 49.93/32.56 ((~m_processor_v_abort(c_p0, s3)) | node46(c_p0, s3, s4)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11696, 11690, 9658])).
% 49.93/32.56 tff(11698,plain,
% 49.93/32.56 (node46(c_p0, s3, s4)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11697, 11680])).
% 49.93/32.56 tff(11699,plain,
% 49.93/32.56 (^[Y: $i, I0: $i, X: $i] : refl((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y))) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y))))),
% 49.93/32.56 inference(bind,[status(th)],[])).
% 49.93/32.56 tff(11700,plain,
% 49.93/32.56 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))),
% 49.93/32.56 inference(quant_intro,[status(thm)],[11699])).
% 49.93/32.56 tff(11701,plain,
% 49.93/32.56 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))),
% 49.93/32.56 inference(rewrite,[status(thm)],[])).
% 49.93/32.56 tff(11702,plain,
% 49.93/32.56 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(rewrite((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X))) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)))), (((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X))) | (~node46(I0, X, Y))) <=> ((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X))) | (~node46(I0, X, Y))))), rewrite(((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X))) | (~node46(I0, X, Y))) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))), (((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X))) | (~node46(I0, X, Y))) <=> (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))))),
% 49.93/32.56 inference(bind,[status(th)],[])).
% 49.93/32.56 tff(11703,plain,
% 49.93/32.56 (![Y: $i, I0: $i, X: $i] : ((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X))) | (~node46(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))),
% 49.93/32.56 inference(quant_intro,[status(thm)],[11702])).
% 49.93/32.56 tff(11704,axiom,(![Y: $i, I0: $i, X: $i] : ((m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X))) | (~node46(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_94')).
% 49.93/32.56 tff(11705,plain,
% 49.93/32.56 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))),
% 49.93/32.56 inference(modus_ponens,[status(thm)],[11704, 11703])).
% 49.93/32.56 tff(11706,plain,
% 49.93/32.56 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))),
% 49.93/32.56 inference(modus_ponens,[status(thm)],[11705, 11701])).
% 49.93/32.56 tff(11707,plain,(
% 49.93/32.56 ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))),
% 49.93/32.56 inference(skolemize,[status(sab)],[11706])).
% 49.93/32.56 tff(11708,plain,
% 49.93/32.56 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))),
% 49.93/32.56 inference(modus_ponens,[status(thm)],[11707, 11700])).
% 49.93/32.56 tff(11709,plain,
% 49.93/32.56 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s3)) | m_processor_v_waiting(c_p0, s4) | (~node46(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s3)) | m_processor_v_waiting(c_p0, s4) | (~node46(c_p0, s3, s4)))),
% 49.93/32.56 inference(rewrite,[status(thm)],[])).
% 49.93/32.56 tff(11710,plain,
% 49.93/32.56 ((m_processor_v_waiting(c_p0, s4) | (~m_processor_v_waiting(c_p0, s3)) | (~node46(c_p0, s3, s4))) <=> ((~m_processor_v_waiting(c_p0, s3)) | m_processor_v_waiting(c_p0, s4) | (~node46(c_p0, s3, s4)))),
% 49.93/32.56 inference(rewrite,[status(thm)],[])).
% 49.93/32.56 tff(11711,plain,
% 49.93/32.56 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s4) | (~m_processor_v_waiting(c_p0, s3)) | (~node46(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s3)) | m_processor_v_waiting(c_p0, s4) | (~node46(c_p0, s3, s4))))),
% 49.93/32.56 inference(monotonicity,[status(thm)],[11710])).
% 49.93/32.56 tff(11712,plain,
% 49.93/32.56 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s4) | (~m_processor_v_waiting(c_p0, s3)) | (~node46(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s3)) | m_processor_v_waiting(c_p0, s4) | (~node46(c_p0, s3, s4)))),
% 49.93/32.56 inference(transitivity,[status(thm)],[11711, 11709])).
% 49.93/32.56 tff(11713,plain,
% 49.93/32.56 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s4) | (~m_processor_v_waiting(c_p0, s3)) | (~node46(c_p0, s3, s4)))),
% 49.93/32.56 inference(quant_inst,[status(thm)],[])).
% 49.93/32.56 tff(11714,plain,
% 49.93/32.56 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s3)) | m_processor_v_waiting(c_p0, s4) | (~node46(c_p0, s3, s4))),
% 49.93/32.56 inference(modus_ponens,[status(thm)],[11713, 11712])).
% 49.93/32.56 tff(11715,plain,
% 49.93/32.56 ($false),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11714, 11708, 9816, 11698, 10808])).
% 49.93/32.56 tff(11716,plain,((~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_waiting(c_p0, s4) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | m_processor_v_state(c_p0, s4, c_invalid) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_state(c_p0, s3, c_shared) | (~node56(c_p0, s4))), inference(lemma,lemma(discharge,[]))).
% 49.93/32.56 tff(11717,plain,
% 49.93/32.56 (~m_processor_v_state(c_p0, s2, c_invalid)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11716, 10804, 10565, 6880, 9374, 9843, 9824, 56])).
% 49.93/32.56 tff(11718,plain,
% 49.93/32.56 (m_processor_v_state(c_p1, s2, c_invalid)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5074, 11717])).
% 49.93/32.56 tff(11719,plain,
% 49.93/32.56 (m_main_v_CMD(s2, c_read_h_owned)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5372, 11718, 2595])).
% 49.93/32.56 tff(11720,plain,
% 49.93/32.56 (m_processor_v_CMD(c_p1, s2, c_read_h_owned)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5401, 11719])).
% 49.93/32.56 tff(11721,plain,
% 49.93/32.56 (~node59(c_p1, s2)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[10308, 707, 11720])).
% 49.93/32.56 tff(11722,plain,
% 49.93/32.56 (~node32(c_p1, s2, s3)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5107, 2621, 11718])).
% 49.93/32.56 tff(11723,plain,
% 49.93/32.56 (~m_processor_v_abort(c_p1, s2)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5121, 11722])).
% 49.93/32.56 tff(11724,plain,
% 49.93/32.56 (node60(c_p1, s2)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[9293, 11723])).
% 49.93/32.56 tff(11725,plain,
% 49.93/32.56 (~m_processor_v_REPLY_h_WAITING(c_p1, s2)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[9332, 11724, 11721])).
% 49.93/32.56 tff(11726,plain,
% 49.93/32.56 (~m_main_v_REPLY_h_WAITING(s2)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[9340, 11725])).
% 49.93/32.56 tff(11727,plain,
% 49.93/32.56 (~m_memory_v_REPLY_h_WAITING(c_m, s2)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[10301, 11726])).
% 49.93/32.56 tff(11728,plain,
% 49.93/32.56 (~m_processor_v_state(c_p1, s2, c_owned)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5490, 11718])).
% 49.93/32.56 tff(11729,plain,
% 49.93/32.56 (m_processor_v_master(c_p1, s2)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5484, 11728, 2595])).
% 49.93/32.56 tff(11730,plain,
% 49.93/32.56 (~m_processor_v_master(c_p0, s2)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5370, 794, 11729])).
% 49.93/32.56 tff(11731,plain,
% 49.93/32.56 (~m_processor_v_state(c_p1, s2, c_shared)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5081, 11718])).
% 49.93/32.56 tff(11732,plain,
% 49.93/32.56 (~m_main_v_CMD(s2, c_read_h_shared)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[8797, 11719])).
% 49.93/32.56 tff(11733,plain,
% 49.93/32.56 (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[8791, 11732])).
% 49.93/32.56 tff(11734,plain,
% 49.93/32.56 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p1, s2, c_shared) | (~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s3, c_shared)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p1, s2, c_shared) | (~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s3, c_shared)))),
% 49.93/32.56 inference(rewrite,[status(thm)],[])).
% 49.93/32.56 tff(11735,plain,
% 49.93/32.56 (((~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_state(c_p1, s3, c_shared))) <=> (m_processor_v_state(c_p1, s2, c_shared) | (~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s3, c_shared)))),
% 49.93/32.56 inference(rewrite,[status(thm)],[])).
% 49.93/32.56 tff(11736,plain,
% 49.93/32.56 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_state(c_p1, s3, c_shared)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p1, s2, c_shared) | (~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s3, c_shared))))),
% 49.93/32.56 inference(monotonicity,[status(thm)],[11735])).
% 49.93/32.56 tff(11737,plain,
% 49.93/32.56 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_state(c_p1, s3, c_shared)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p1, s2, c_shared) | (~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s3, c_shared)))),
% 49.93/32.56 inference(transitivity,[status(thm)],[11736, 11734])).
% 49.93/32.56 tff(11738,plain,
% 49.93/32.56 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_state(c_p1, s3, c_shared)))),
% 49.93/32.56 inference(quant_inst,[status(thm)],[])).
% 49.93/32.56 tff(11739,plain,
% 49.93/32.56 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p1, s2, c_shared) | (~node32(c_p1, s2, s3)) | (~m_processor_v_state(c_p1, s3, c_shared))),
% 49.93/32.56 inference(modus_ponens,[status(thm)],[11738, 11737])).
% 49.93/32.56 tff(11740,plain,
% 49.93/32.56 ($false),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11739, 261, 3110, 6659, 5099])).
% 49.93/32.56 tff(11741,plain,((~node32(c_p1, s2, s3)) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_state(c_p1, s3, c_shared))), inference(lemma,lemma(discharge,[]))).
% 49.93/32.56 tff(11742,plain,
% 49.93/32.56 (~node32(c_p1, s2, s3)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11741, 6659, 3110])).
% 49.93/32.56 tff(11743,plain,
% 49.93/32.56 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_state(c_p1, s3, c_shared)) | (~node37(c_p1, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_state(c_p1, s3, c_shared)) | (~node37(c_p1, s2, s3)))),
% 49.93/32.56 inference(rewrite,[status(thm)],[])).
% 49.93/32.56 tff(11744,plain,
% 49.93/32.56 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_state(c_p1, s3, c_shared)) | (~node37(c_p1, s2, s3)))),
% 49.93/32.56 inference(quant_inst,[status(thm)],[])).
% 49.93/32.56 tff(11745,plain,
% 49.93/32.56 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_state(c_p1, s3, c_shared)) | (~node37(c_p1, s2, s3))),
% 49.93/32.56 inference(modus_ponens,[status(thm)],[11744, 11743])).
% 49.93/32.56 tff(11746,plain,
% 49.93/32.56 ($false),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11745, 182, 3110, 5092, 6659])).
% 49.93/32.56 tff(11747,plain,((~node37(c_p1, s2, s3)) | m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_state(c_p1, s3, c_shared))), inference(lemma,lemma(discharge,[]))).
% 49.93/32.56 tff(11748,plain,
% 49.93/32.56 (~node37(c_p1, s2, s3)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11747, 6659, 3110])).
% 49.93/32.56 tff(11749,plain,
% 49.93/32.56 (m_processor_v_abort(c_p1, s2)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5129, 11748, 3110, 5089, 5090])).
% 49.93/32.56 tff(11750,plain,
% 49.93/32.56 ($false),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5121, 11749, 11742])).
% 49.93/32.56 tff(11751,plain,((~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_master(c_p1, s2)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.56 tff(11752,plain,
% 49.93/32.56 (m_processor_v_master(c_p1, s2)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11751, 6659, 3110])).
% 49.93/32.56 tff(11753,plain,
% 49.93/32.56 (~node16(s2)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5199, 3386, 11752])).
% 49.93/32.56 tff(11754,plain,
% 49.93/32.56 (~m_processor_v_master(c_p2, s2)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5207, 11753])).
% 49.93/32.56 tff(11755,plain,
% 49.93/32.56 (~m_processor_v_master(c_p0, s2)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5370, 794, 11752])).
% 49.93/32.56 tff(11756,plain,
% 49.93/32.56 (m_processor_v_cmd(c_p0, s2, c_idle)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5366, 11755])).
% 49.93/32.56 tff(11757,plain,
% 49.93/32.56 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_shared)))),
% 49.93/32.56 inference(rewrite,[status(thm)],[])).
% 49.93/32.56 tff(11758,plain,
% 49.93/32.56 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_shared)))),
% 49.93/32.56 inference(quant_inst,[status(thm)],[])).
% 49.93/32.56 tff(11759,plain,
% 49.93/32.56 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_shared))),
% 49.93/32.56 inference(modus_ponens,[status(thm)],[11758, 11757])).
% 49.93/32.56 tff(11760,plain,
% 49.93/32.56 (~m_processor_v_state(c_p1, s3, c_invalid)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11759, 977, 6659])).
% 49.93/32.56 tff(11761,plain,
% 49.93/32.56 (~m_processor_v_state(c_p1, s3, c_owned)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5139, 121, 6659])).
% 49.93/32.56 tff(11762,plain,
% 49.93/32.56 (m_processor_v_state(c_p1, s3, c_shared)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[6646, 5656, 5091])).
% 49.93/32.56 tff(11763,plain,
% 49.93/32.56 (m_processor_v_master(c_p1, s2)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11751, 11762, 3110])).
% 49.93/32.56 tff(11764,plain,
% 49.93/32.56 ($false),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5275, 5424, 3110, 5091, 5262])).
% 49.93/32.56 tff(11765,plain,(m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_state(c_p1, s3, c_invalid) | node34(c_p1, s2, s3) | m_processor_v_state(c_p1, s2, c_owned)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.56 tff(11766,plain,
% 49.93/32.56 (m_processor_v_state(c_p1, s2, c_owned)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11765, 5262, 3110, 5091])).
% 49.93/32.56 tff(11767,plain,
% 49.93/32.56 (~node32(c_p1, s2, s3)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[8668, 5656, 11766])).
% 49.93/32.56 tff(11768,plain,
% 49.93/32.56 (~m_processor_v_abort(c_p1, s2)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5121, 11767])).
% 49.93/32.56 tff(11769,plain,
% 49.93/32.56 ($false),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5271, 11768, 11763, 5262])).
% 49.93/32.56 tff(11770,plain,(m_processor_v_state(c_p1, s3, c_owned) | node34(c_p1, s2, s3) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_state(c_p1, s3, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.56 tff(11771,plain,
% 49.93/32.56 (node34(c_p1, s2, s3)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11770, 3110, 11761, 11760])).
% 49.93/32.56 tff(11772,plain,
% 49.93/32.56 (m_processor_v_master(c_p1, s2)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11751, 3110, 6659])).
% 49.93/32.56 tff(11773,plain,
% 49.93/32.56 (m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned))),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[9039, 1864, 9011])).
% 49.93/32.56 tff(11774,plain,
% 49.93/32.56 (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11773, 5285, 5656])).
% 49.93/32.56 tff(11775,plain,
% 49.93/32.56 (~m_main_v_CMD(s2, c_read_h_shared)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5298, 5285])).
% 49.93/32.56 tff(11776,plain,
% 49.93/32.56 (m_main_v_CMD(s2, c_read_h_owned)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5320, 11775, 5076, 5151, 5300])).
% 49.93/32.56 tff(11777,plain,
% 49.93/32.56 ($false),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5401, 11776, 11774])).
% 49.93/32.56 tff(11778,plain,(m_processor_v_CMD(c_p1, s2, c_read_h_shared) | (~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_master(c_p1, s2)) | (~node10(s2)) | m_processor_v_state(c_p1, s3, c_owned) | (~node34(c_p1, s2, s3))), inference(lemma,lemma(discharge,[]))).
% 49.93/32.56 tff(11779,plain,
% 49.93/32.56 (~node10(s2)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11778, 11772, 5424, 11761, 11771, 5285])).
% 49.93/32.56 tff(11780,plain,
% 49.93/32.56 (~m_processor_v_cmd(c_p1, s2, c_idle)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5160, 11772, 5424])).
% 49.93/32.56 tff(11781,plain,
% 49.93/32.56 (~node9(s2)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5164, 3443, 11780])).
% 49.93/32.56 tff(11782,plain,
% 49.93/32.56 (node9(s2) | (~m_memory_v_cmd(c_m, s2, c_idle)) | node10(s2)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5328, 3461, 5322, 5585])).
% 49.93/32.56 tff(11783,plain,
% 49.93/32.56 (~m_memory_v_cmd(c_m, s2, c_idle)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11782, 11781, 11779])).
% 49.93/32.56 tff(11784,plain,
% 49.93/32.56 (~node17(s2)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5169, 3344, 11772])).
% 49.93/32.56 tff(11785,plain,
% 49.93/32.56 (~m_memory_v_master(c_m, s2)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5179, 11784])).
% 49.93/32.56 tff(11786,plain,
% 49.93/32.56 (~node29(c_m, s2)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5187, 11785])).
% 49.93/32.56 tff(11787,plain,
% 49.93/32.56 ($false),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5195, 11786, 11783])).
% 49.93/32.56 tff(11788,plain,(m_processor_v_state(c_p1, s2, c_shared) | (~m_processor_v_cmd(c_p0, s2, c_idle)) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | m_processor_v_CMD(c_p1, s2, c_read_h_shared) | m_processor_v_state(c_p1, s2, c_owned) | (~m_processor_v_state(c_p1, s3, c_shared))), inference(lemma,lemma(discharge,[]))).
% 49.93/32.56 tff(11789,plain,
% 49.93/32.56 (~m_processor_v_cmd(c_p2, s2, c_idle)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11788, 11756, 6659, 3112, 3110, 5285])).
% 49.93/32.56 tff(11790,plain,
% 49.93/32.56 ($false),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5260, 11789, 11754])).
% 49.93/32.56 tff(11791,plain,((~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s2, c_owned) | m_processor_v_state(c_p1, s2, c_shared) | m_processor_v_CMD(c_p1, s2, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.56 tff(11792,plain,
% 49.93/32.56 (~m_processor_v_state(c_p1, s3, c_shared)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11791, 11733, 11728, 11731])).
% 49.93/32.56 tff(11793,plain,
% 49.93/32.56 (~node63(c_p1, s3)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[10643, 1809, 11792])).
% 49.93/32.56 tff(11794,plain,
% 49.93/32.56 (~node17(s2)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5171, 11729])).
% 49.93/32.56 tff(11795,plain,
% 49.93/32.56 (~m_memory_v_master(c_m, s2)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[5179, 11794])).
% 49.93/32.56 tff(11796,assumption,(m_processor_v_snoop(c_p1, s3, c_invalid)), introduced(assumption)).
% 49.93/32.56 tff(11797,plain,
% 49.93/32.56 (~node19(c_m, s3)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[10153, 10804, 10565])).
% 49.93/32.56 tff(11798,assumption,(~node60(c_p1, s3)), introduced(assumption)).
% 49.93/32.56 tff(11799,plain,
% 49.93/32.56 (((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p1, s3) | node60(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p1, s3) | node60(c_p1, s3))),
% 49.93/32.56 inference(rewrite,[status(thm)],[])).
% 49.93/32.56 tff(11800,plain,
% 49.93/32.56 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p1, s3) | node60(c_p1, s3))),
% 49.93/32.56 inference(quant_inst,[status(thm)],[])).
% 49.93/32.56 tff(11801,plain,
% 49.93/32.56 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p1, s3) | node60(c_p1, s3)),
% 49.93/32.56 inference(modus_ponens,[status(thm)],[11800, 11799])).
% 49.93/32.56 tff(11802,plain,
% 49.93/32.56 ($false),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11801, 693, 6710, 11798])).
% 49.93/32.56 tff(11803,plain,(m_processor_v_abort(c_p1, s3) | node60(c_p1, s3)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.56 tff(11804,plain,
% 49.93/32.56 (node60(c_p1, s3)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11803, 6710])).
% 49.93/32.56 tff(11805,plain,
% 49.93/32.56 (~m_processor_v_cmd(c_p0, s3, c_idle)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11516, 9550, 11484, 9596])).
% 49.93/32.56 tff(11806,plain,
% 49.93/32.56 (m_processor_v_master(c_p0, s3)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[10144, 11805])).
% 49.93/32.56 tff(11807,plain,
% 49.93/32.56 (~node16(s3)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[9554, 1530, 11806])).
% 49.93/32.56 tff(11808,plain,
% 49.93/32.56 (~m_processor_v_master(c_p2, s3)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[9562, 11807])).
% 49.93/32.56 tff(11809,plain,
% 49.93/32.56 (m_processor_v_cmd(c_p2, s3, c_idle)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[9594, 11808])).
% 49.93/32.56 tff(11810,assumption,(node60(c_p1, s3)), introduced(assumption)).
% 49.93/32.56 tff(11811,plain,
% 49.93/32.56 (((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p1, s3)) | (~node60(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p1, s3)) | (~node60(c_p1, s3)))),
% 49.93/32.56 inference(rewrite,[status(thm)],[])).
% 49.93/32.56 tff(11812,plain,
% 49.93/32.56 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p1, s3)) | (~node60(c_p1, s3)))),
% 49.93/32.56 inference(quant_inst,[status(thm)],[])).
% 49.93/32.56 tff(11813,plain,
% 49.93/32.56 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p1, s3)) | (~node60(c_p1, s3))),
% 49.93/32.56 inference(modus_ponens,[status(thm)],[11812, 11811])).
% 49.93/32.56 tff(11814,plain,
% 49.93/32.56 (~m_processor_v_REPLY_h_STALL(c_p1, s3)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11813, 1363, 11810])).
% 49.93/32.56 tff(11815,assumption,(~m_processor_v_REPLY_h_STALL(c_p1, s3)), introduced(assumption)).
% 49.93/32.56 tff(11816,plain,
% 49.93/32.56 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | ((~m_main_v_REPLY_h_STALL(s3)) | m_processor_v_REPLY_h_STALL(c_p1, s3))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | (~m_main_v_REPLY_h_STALL(s3)) | m_processor_v_REPLY_h_STALL(c_p1, s3))),
% 49.93/32.56 inference(rewrite,[status(thm)],[])).
% 49.93/32.56 tff(11817,plain,
% 49.93/32.56 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | ((~m_main_v_REPLY_h_STALL(s3)) | m_processor_v_REPLY_h_STALL(c_p1, s3))),
% 49.93/32.56 inference(quant_inst,[status(thm)],[])).
% 49.93/32.56 tff(11818,plain,
% 49.93/32.56 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | (~m_main_v_REPLY_h_STALL(s3)) | m_processor_v_REPLY_h_STALL(c_p1, s3)),
% 49.93/32.56 inference(modus_ponens,[status(thm)],[11817, 11816])).
% 49.93/32.56 tff(11819,plain,
% 49.93/32.56 ($false),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11818, 1713, 11815, 10497])).
% 49.93/32.56 tff(11820,plain,((~m_main_v_REPLY_h_STALL(s3)) | m_processor_v_REPLY_h_STALL(c_p1, s3)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.56 tff(11821,plain,
% 49.93/32.56 (~m_main_v_REPLY_h_STALL(s3)),
% 49.93/32.56 inference(unit_resolution,[status(thm)],[11820, 11814])).
% 49.93/32.56 tff(11822,plain,
% 49.93/32.56 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | (m_main_v_REPLY_h_STALL(s3) | (~m_processor_v_REPLY_h_STALL(c_p0, s3)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | m_main_v_REPLY_h_STALL(s3) | (~m_processor_v_REPLY_h_STALL(c_p0, s3)))),
% 49.93/32.56 inference(rewrite,[status(thm)],[])).
% 49.93/32.56 tff(11823,plain,
% 49.93/32.56 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | (m_main_v_REPLY_h_STALL(s3) | (~m_processor_v_REPLY_h_STALL(c_p0, s3)))),
% 49.93/32.57 inference(quant_inst,[status(thm)],[])).
% 49.93/32.57 tff(11824,plain,
% 49.93/32.57 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | m_main_v_REPLY_h_STALL(s3) | (~m_processor_v_REPLY_h_STALL(c_p0, s3))),
% 49.93/32.57 inference(modus_ponens,[status(thm)],[11823, 11822])).
% 49.93/32.57 tff(11825,plain,
% 49.93/32.57 ($false),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11824, 1729, 10505, 10489])).
% 49.93/32.57 tff(11826,plain,((~m_processor_v_REPLY_h_STALL(c_p0, s3)) | m_main_v_REPLY_h_STALL(s3)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.57 tff(11827,plain,
% 49.93/32.57 (~m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11826, 11821])).
% 49.93/32.57 tff(11828,plain,
% 49.93/32.57 (m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[9548, 9539])).
% 49.93/32.57 tff(11829,plain,
% 49.93/32.57 (m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[10585, 9539])).
% 49.93/32.57 tff(11830,plain,
% 49.93/32.57 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~node59(c_p1, s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~node59(c_p1, s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)))),
% 49.93/32.57 inference(rewrite,[status(thm)],[])).
% 49.93/32.57 tff(11831,plain,
% 49.93/32.57 (((~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | (~node59(c_p1, s3))) <=> ((~node59(c_p1, s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)))),
% 49.93/32.57 inference(rewrite,[status(thm)],[])).
% 49.93/32.57 tff(11832,plain,
% 49.93/32.57 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | (~node59(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~node59(c_p1, s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared))))),
% 49.93/32.57 inference(monotonicity,[status(thm)],[11831])).
% 49.93/32.57 tff(11833,plain,
% 49.93/32.57 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | (~node59(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~node59(c_p1, s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)))),
% 49.93/32.57 inference(transitivity,[status(thm)],[11832, 11830])).
% 49.93/32.57 tff(11834,plain,
% 49.93/32.57 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | (~node59(c_p1, s3)))),
% 49.93/32.57 inference(quant_inst,[status(thm)],[])).
% 49.93/32.57 tff(11835,plain,
% 49.93/32.57 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~node59(c_p1, s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared))),
% 49.93/32.57 inference(modus_ponens,[status(thm)],[11834, 11833])).
% 49.93/32.57 tff(11836,plain,
% 49.93/32.57 (~node59(c_p1, s3)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11835, 3834, 11829])).
% 49.93/32.57 tff(11837,plain,
% 49.93/32.57 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p1, s3)) | (~node60(c_p1, s3)) | node59(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s3)) | (~node60(c_p1, s3)) | node59(c_p1, s3))),
% 49.93/32.57 inference(rewrite,[status(thm)],[])).
% 49.93/32.57 tff(11838,plain,
% 49.93/32.57 ((node59(c_p1, s3) | (~node60(c_p1, s3)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s3))) <=> ((~m_processor_v_REPLY_h_WAITING(c_p1, s3)) | (~node60(c_p1, s3)) | node59(c_p1, s3))),
% 49.93/32.57 inference(rewrite,[status(thm)],[])).
% 49.93/32.57 tff(11839,plain,
% 49.93/32.57 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s3) | (~node60(c_p1, s3)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p1, s3)) | (~node60(c_p1, s3)) | node59(c_p1, s3)))),
% 49.93/32.57 inference(monotonicity,[status(thm)],[11838])).
% 49.93/32.57 tff(11840,plain,
% 49.93/32.57 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s3) | (~node60(c_p1, s3)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s3)) | (~node60(c_p1, s3)) | node59(c_p1, s3))),
% 49.93/32.57 inference(transitivity,[status(thm)],[11839, 11837])).
% 49.93/32.57 tff(11841,plain,
% 49.93/32.57 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s3) | (~node60(c_p1, s3)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s3)))),
% 49.93/32.57 inference(quant_inst,[status(thm)],[])).
% 49.93/32.57 tff(11842,plain,
% 49.93/32.57 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s3)) | (~node60(c_p1, s3)) | node59(c_p1, s3)),
% 49.93/32.57 inference(modus_ponens,[status(thm)],[11841, 11840])).
% 49.93/32.57 tff(11843,plain,
% 49.93/32.57 ((~m_processor_v_REPLY_h_WAITING(c_p1, s3)) | node59(c_p1, s3)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11842, 724, 11810])).
% 49.93/32.57 tff(11844,plain,
% 49.93/32.57 (~m_processor_v_REPLY_h_WAITING(c_p1, s3)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11843, 11836])).
% 49.93/32.57 tff(11845,assumption,(~m_processor_v_REPLY_h_WAITING(c_p1, s3)), introduced(assumption)).
% 49.93/32.57 tff(11846,assumption,(m_main_v_REPLY_h_WAITING(s3)), introduced(assumption)).
% 49.93/32.57 tff(11847,plain,
% 49.93/32.57 (((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | ((~m_main_v_REPLY_h_WAITING(s3)) | m_processor_v_REPLY_h_WAITING(c_p1, s3))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | (~m_main_v_REPLY_h_WAITING(s3)) | m_processor_v_REPLY_h_WAITING(c_p1, s3))),
% 49.93/32.57 inference(rewrite,[status(thm)],[])).
% 49.93/32.57 tff(11848,plain,
% 49.93/32.57 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | ((~m_main_v_REPLY_h_WAITING(s3)) | m_processor_v_REPLY_h_WAITING(c_p1, s3))),
% 49.93/32.57 inference(quant_inst,[status(thm)],[])).
% 49.93/32.57 tff(11849,plain,
% 49.93/32.57 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | (~m_main_v_REPLY_h_WAITING(s3)) | m_processor_v_REPLY_h_WAITING(c_p1, s3)),
% 49.93/32.57 inference(modus_ponens,[status(thm)],[11848, 11847])).
% 49.93/32.57 tff(11850,plain,
% 49.93/32.57 ($false),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11849, 745, 11846, 11845])).
% 49.93/32.57 tff(11851,plain,(m_processor_v_REPLY_h_WAITING(c_p1, s3) | (~m_main_v_REPLY_h_WAITING(s3))), inference(lemma,lemma(discharge,[]))).
% 49.93/32.57 tff(11852,plain,
% 49.93/32.57 (~m_main_v_REPLY_h_WAITING(s3)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11851, 11844])).
% 49.93/32.57 tff(11853,assumption,(m_processor_v_REPLY_h_WAITING(c_p0, s3)), introduced(assumption)).
% 49.93/32.57 tff(11854,assumption,(~m_main_v_REPLY_h_WAITING(s3)), introduced(assumption)).
% 49.93/32.57 tff(11855,plain,
% 49.93/32.57 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | (m_main_v_REPLY_h_WAITING(s3) | (~m_processor_v_REPLY_h_WAITING(c_p0, s3)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | m_main_v_REPLY_h_WAITING(s3) | (~m_processor_v_REPLY_h_WAITING(c_p0, s3)))),
% 49.93/32.57 inference(rewrite,[status(thm)],[])).
% 49.93/32.57 tff(11856,plain,
% 49.93/32.57 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | (m_main_v_REPLY_h_WAITING(s3) | (~m_processor_v_REPLY_h_WAITING(c_p0, s3)))),
% 49.93/32.57 inference(quant_inst,[status(thm)],[])).
% 49.93/32.57 tff(11857,plain,
% 49.93/32.57 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | m_main_v_REPLY_h_WAITING(s3) | (~m_processor_v_REPLY_h_WAITING(c_p0, s3))),
% 49.93/32.57 inference(modus_ponens,[status(thm)],[11856, 11855])).
% 49.93/32.57 tff(11858,plain,
% 49.93/32.57 ($false),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11857, 1909, 11854, 11853])).
% 49.93/32.57 tff(11859,plain,(m_main_v_REPLY_h_WAITING(s3) | (~m_processor_v_REPLY_h_WAITING(c_p0, s3))), inference(lemma,lemma(discharge,[]))).
% 49.93/32.57 tff(11860,plain,
% 49.93/32.57 (~m_processor_v_REPLY_h_WAITING(c_p0, s3)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11859, 11852])).
% 49.93/32.57 tff(11861,assumption,(~m_processor_v_REPLY_h_WAITING(c_p0, s3)), introduced(assumption)).
% 49.93/32.57 tff(11862,assumption,(node61(c_p0, s3)), introduced(assumption)).
% 49.93/32.57 tff(11863,plain,
% 49.93/32.57 (((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p0, s3) | (~node61(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p0, s3) | (~node61(c_p0, s3)))),
% 49.93/32.57 inference(rewrite,[status(thm)],[])).
% 49.93/32.57 tff(11864,plain,
% 49.93/32.57 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p0, s3) | (~node61(c_p0, s3)))),
% 49.93/32.57 inference(quant_inst,[status(thm)],[])).
% 49.93/32.57 tff(11865,plain,
% 49.93/32.57 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p0, s3) | (~node61(c_p0, s3))),
% 49.93/32.57 inference(modus_ponens,[status(thm)],[11864, 11863])).
% 49.93/32.57 tff(11866,plain,
% 49.93/32.57 ($false),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11865, 1891, 11862, 11861])).
% 49.93/32.57 tff(11867,plain,((~node61(c_p0, s3)) | m_processor_v_REPLY_h_WAITING(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.57 tff(11868,plain,
% 49.93/32.57 (~node61(c_p0, s3)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11867, 11860])).
% 49.93/32.57 tff(11869,assumption,(~node61(c_p0, s3)), introduced(assumption)).
% 49.93/32.57 tff(11870,assumption,(m_processor_v_abort(c_p0, s3)), introduced(assumption)).
% 49.93/32.57 tff(11871,plain,
% 49.93/32.57 (((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p0, s3)) | m_processor_v_REPLY_h_STALL(c_p0, s3) | node61(c_p0, s3))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p0, s3)) | m_processor_v_REPLY_h_STALL(c_p0, s3) | node61(c_p0, s3))),
% 49.93/32.57 inference(rewrite,[status(thm)],[])).
% 49.93/32.57 tff(11872,plain,
% 49.93/32.57 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p0, s3)) | m_processor_v_REPLY_h_STALL(c_p0, s3) | node61(c_p0, s3))),
% 49.93/32.57 inference(quant_inst,[status(thm)],[])).
% 49.93/32.57 tff(11873,plain,
% 49.93/32.57 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p0, s3)) | m_processor_v_REPLY_h_STALL(c_p0, s3) | node61(c_p0, s3)),
% 49.93/32.57 inference(modus_ponens,[status(thm)],[11872, 11871])).
% 49.93/32.57 tff(11874,plain,
% 49.93/32.57 ($false),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11873, 1417, 11870, 11869, 10496])).
% 49.93/32.57 tff(11875,plain,((~m_processor_v_abort(c_p0, s3)) | node61(c_p0, s3) | m_processor_v_REPLY_h_STALL(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.57 tff(11876,plain,
% 49.93/32.57 (~m_processor_v_abort(c_p0, s3)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11875, 11868, 11827])).
% 49.93/32.57 tff(11877,plain,
% 49.93/32.57 (node34(c_p0, s3, s4)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[9522, 11876, 9481])).
% 49.93/32.57 tff(11878,plain,
% 49.93/32.57 ($false),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[9533, 416, 1096, 11877, 11828])).
% 49.93/32.57 tff(11879,plain,((~m_main_v_CMD(s3, c_read_h_shared)) | m_processor_v_state(c_p0, s4, c_shared) | (~m_processor_v_master(c_p0, s3)) | (~node60(c_p1, s3))), inference(lemma,lemma(discharge,[]))).
% 49.93/32.57 tff(11880,plain,
% 49.93/32.57 (~m_main_v_CMD(s3, c_read_h_shared)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11879, 11806, 6889, 11810])).
% 49.93/32.57 tff(11881,plain,
% 49.93/32.57 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11528, 11880])).
% 49.93/32.57 tff(11882,plain,
% 49.93/32.57 (m_processor_v_REPLY_h_WAITING(c_p0, s3)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11867, 11862])).
% 49.93/32.57 tff(11883,plain,
% 49.93/32.57 (m_main_v_REPLY_h_WAITING(s3)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11859, 11882])).
% 49.93/32.57 tff(11884,plain,
% 49.93/32.57 (m_processor_v_REPLY_h_WAITING(c_p1, s3)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11851, 11883])).
% 49.93/32.57 tff(11885,plain,
% 49.93/32.57 (node59(c_p1, s3)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11843, 11884])).
% 49.93/32.57 tff(11886,plain,
% 49.93/32.57 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node61(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node61(c_p0, s3)))),
% 49.93/32.57 inference(rewrite,[status(thm)],[])).
% 49.93/32.57 tff(11887,plain,
% 49.93/32.57 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node61(c_p0, s3)))),
% 49.93/32.57 inference(quant_inst,[status(thm)],[])).
% 49.93/32.57 tff(11888,plain,
% 49.93/32.57 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node61(c_p0, s3))),
% 49.93/32.57 inference(modus_ponens,[status(thm)],[11887, 11886])).
% 49.93/32.57 tff(11889,plain,
% 49.93/32.57 ($false),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11888, 2268, 9540, 9645, 11862])).
% 49.93/32.57 tff(11890,plain,((~node61(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_CMD(c_p0, s3, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.57 tff(11891,plain,
% 49.93/32.57 (m_processor_v_CMD(c_p0, s3, c_read_h_owned)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11890, 11862, 9540])).
% 49.93/32.57 tff(11892,plain,
% 49.93/32.57 (m_main_v_CMD(s3, c_read_h_owned)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[10546, 11891])).
% 49.93/32.57 tff(11893,plain,
% 49.93/32.57 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~node3(s3)) | (~m_main_v_CMD(s3, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~node3(s3)) | (~m_main_v_CMD(s3, c_read_h_owned)))),
% 49.93/32.57 inference(rewrite,[status(thm)],[])).
% 49.93/32.57 tff(11894,plain,
% 49.93/32.57 (((~m_main_v_CMD(s3, c_read_h_owned)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_read_h_owned)) <=> (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~node3(s3)) | (~m_main_v_CMD(s3, c_read_h_owned)))),
% 49.93/32.57 inference(rewrite,[status(thm)],[])).
% 49.93/32.57 tff(11895,plain,
% 49.93/32.57 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~node3(s3)) | (~m_main_v_CMD(s3, c_read_h_owned))))),
% 49.93/32.57 inference(monotonicity,[status(thm)],[11894])).
% 49.93/32.57 tff(11896,plain,
% 49.93/32.57 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~node3(s3)) | (~m_main_v_CMD(s3, c_read_h_owned)))),
% 49.93/32.57 inference(transitivity,[status(thm)],[11895, 11893])).
% 49.93/32.57 tff(11897,plain,
% 49.93/32.57 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~node3(s3)) | m_processor_v_CMD(c_p1, s3, c_read_h_owned))),
% 49.93/32.57 inference(quant_inst,[status(thm)],[])).
% 49.93/32.57 tff(11898,plain,
% 49.93/32.57 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~node3(s3)) | (~m_main_v_CMD(s3, c_read_h_owned))),
% 49.93/32.57 inference(modus_ponens,[status(thm)],[11897, 11896])).
% 49.93/32.57 tff(11899,plain,
% 49.93/32.57 ($false),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11898, 1945, 10577, 6730, 9644])).
% 49.93/32.57 tff(11900,plain,((~m_main_v_CMD(s3, c_read_h_owned)) | m_processor_v_CMD(c_p1, s3, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.57 tff(11901,plain,
% 49.93/32.57 (m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11900, 11892])).
% 49.93/32.57 tff(11902,plain,
% 49.93/32.57 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~node59(c_p1, s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~node59(c_p1, s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)))),
% 49.93/32.57 inference(rewrite,[status(thm)],[])).
% 49.93/32.57 tff(11903,plain,
% 49.93/32.57 (((~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | (~node59(c_p1, s3))) <=> ((~node59(c_p1, s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)))),
% 49.93/32.57 inference(rewrite,[status(thm)],[])).
% 49.93/32.57 tff(11904,plain,
% 49.93/32.57 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | (~node59(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~node59(c_p1, s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned))))),
% 49.93/32.57 inference(monotonicity,[status(thm)],[11903])).
% 49.93/32.57 tff(11905,plain,
% 49.93/32.57 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | (~node59(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~node59(c_p1, s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)))),
% 49.93/32.57 inference(transitivity,[status(thm)],[11904, 11902])).
% 49.93/32.57 tff(11906,plain,
% 49.93/32.57 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | (~node59(c_p1, s3)))),
% 49.93/32.57 inference(quant_inst,[status(thm)],[])).
% 49.93/32.57 tff(11907,plain,
% 49.93/32.57 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~node59(c_p1, s3)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_owned))),
% 49.93/32.57 inference(modus_ponens,[status(thm)],[11906, 11905])).
% 49.93/32.57 tff(11908,plain,
% 49.93/32.57 ($false),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11907, 707, 11901, 11885])).
% 49.93/32.57 tff(11909,plain,((~node61(c_p0, s3)) | (~node60(c_p1, s3)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.57 tff(11910,plain,
% 49.93/32.57 (~node61(c_p0, s3)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11909, 11881, 11810])).
% 49.93/32.57 tff(11911,plain,
% 49.93/32.57 (~m_processor_v_abort(c_p0, s3)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11875, 11910, 11827])).
% 49.93/32.57 tff(11912,plain,
% 49.93/32.57 (~node47(c_p0, s3)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[9669, 657, 11881])).
% 49.93/32.57 tff(11913,plain,
% 49.93/32.57 (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[9665, 11912, 9816, 11806, 11911])).
% 49.93/32.57 tff(11914,plain,
% 49.93/32.57 (~m_main_v_CMD(s3, c_read_h_shared)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11879, 11810, 11387, 6889])).
% 49.93/32.57 tff(11915,plain,
% 49.93/32.57 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11528, 11914])).
% 49.93/32.57 tff(11916,plain,
% 49.93/32.57 (~node61(c_p0, s3)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11890, 11915, 9645])).
% 49.93/32.57 tff(11917,plain,
% 49.93/32.57 (node33(c_p0, s3, s4)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[9792, 9645, 1095, 6889, 9749])).
% 49.93/32.57 tff(11918,plain,
% 49.93/32.57 (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s3, c_write_h_invalid))),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[9756, 512, 1095, 9749, 9540])).
% 49.93/32.57 tff(11919,plain,
% 49.93/32.57 (~m_processor_v_CMD(c_p0, s3, c_write_h_invalid)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11918, 9645])).
% 49.93/32.57 tff(11920,plain,
% 49.93/32.57 (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid))),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[9764, 438, 1095, 9749, 9540])).
% 49.93/32.57 tff(11921,plain,
% 49.93/32.57 (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11920, 11919, 9645])).
% 49.93/32.57 tff(11922,plain,
% 49.93/32.57 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node2(s3)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node2(s3)))),
% 49.93/32.57 inference(rewrite,[status(thm)],[])).
% 49.93/32.57 tff(11923,plain,
% 49.93/32.57 (((~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node2(s3)) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)) <=> (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node2(s3)))),
% 49.93/32.57 inference(rewrite,[status(thm)],[])).
% 49.93/32.57 tff(11924,plain,
% 49.93/32.57 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node2(s3)) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node2(s3))))),
% 49.93/32.57 inference(monotonicity,[status(thm)],[11923])).
% 49.93/32.57 tff(11925,plain,
% 49.93/32.57 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node2(s3)) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node2(s3)))),
% 49.93/32.57 inference(transitivity,[status(thm)],[11924, 11922])).
% 49.93/32.57 tff(11926,plain,
% 49.93/32.57 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node2(s3)) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid))),
% 49.93/32.57 inference(quant_inst,[status(thm)],[])).
% 49.93/32.57 tff(11927,plain,
% 49.93/32.57 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node2(s3))),
% 49.93/32.57 inference(modus_ponens,[status(thm)],[11926, 11925])).
% 49.93/32.57 tff(11928,plain,
% 49.93/32.57 (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11927, 1228, 9538, 11921])).
% 49.93/32.57 tff(11929,plain,
% 49.93/32.57 (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_invalid)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11404, 1669, 11928, 11412])).
% 49.93/32.57 tff(11930,plain,
% 49.93/32.57 (~m_processor_v_cmd(c_p0, s3, c_write_h_invalid)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11673, 9645, 1095, 9749, 11412])).
% 49.93/32.57 tff(11931,plain,
% 49.93/32.57 (~m_processor_v_state(c_p0, s3, c_shared)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[9747, 11917, 6889])).
% 49.93/32.57 tff(11932,plain,
% 49.93/32.57 (~node63(c_p0, s3)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11409, 1809, 11931])).
% 49.93/32.57 tff(11933,plain,
% 49.93/32.57 (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_shared))),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[9772, 456, 6889, 9749, 9540])).
% 49.93/32.57 tff(11934,plain,
% 49.93/32.57 (~m_processor_v_CMD(c_p0, s3, c_write_h_shared)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11933, 11921, 9645, 11919])).
% 49.93/32.57 tff(11935,plain,
% 49.93/32.57 (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | m_processor_v_CMD(c_p0, s3, c_write_h_shared) | m_processor_v_CMD(c_p0, s3, c_write_h_invalid) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared))),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[9789, 492, 6889, 9749, 9540])).
% 49.93/32.57 tff(11936,plain,
% 49.93/32.57 (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11935, 11934, 9645, 11919, 11921])).
% 49.93/32.57 tff(11937,plain,
% 49.93/32.57 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node2(s3)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node2(s3)))),
% 49.93/32.57 inference(rewrite,[status(thm)],[])).
% 49.93/32.57 tff(11938,plain,
% 49.93/32.57 (((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node2(s3)) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node2(s3)))),
% 49.93/32.57 inference(rewrite,[status(thm)],[])).
% 49.93/32.57 tff(11939,plain,
% 49.93/32.57 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node2(s3)) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node2(s3))))),
% 49.93/32.57 inference(monotonicity,[status(thm)],[11938])).
% 49.93/32.57 tff(11940,plain,
% 49.93/32.57 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node2(s3)) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node2(s3)))),
% 49.93/32.57 inference(transitivity,[status(thm)],[11939, 11937])).
% 49.93/32.57 tff(11941,plain,
% 49.93/32.57 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node2(s3)) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared))),
% 49.93/32.57 inference(quant_inst,[status(thm)],[])).
% 49.93/32.57 tff(11942,plain,
% 49.93/32.57 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node2(s3))),
% 49.93/32.57 inference(modus_ponens,[status(thm)],[11941, 11940])).
% 49.93/32.57 tff(11943,plain,
% 49.93/32.57 ($false),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11942, 1228, 9538, 10765, 11542])).
% 49.93/32.57 tff(11944,plain,((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.57 tff(11945,plain,
% 49.93/32.57 (~m_main_v_CMD(s3, c_write_h_resp_h_shared)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11944, 11936])).
% 49.93/32.57 tff(11946,plain,
% 49.93/32.57 (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11420, 11945, 11412])).
% 49.93/32.57 tff(11947,plain,
% 49.93/32.57 (~m_processor_v_state(c_p0, s3, c_owned)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11473, 11946, 11932, 10136, 11930, 11929])).
% 49.93/32.57 tff(11948,plain,
% 49.93/32.57 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p0, s3, c_owned) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~node33(c_p0, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p0, s3, c_owned) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~node33(c_p0, s3, s4)))),
% 49.93/32.57 inference(rewrite,[status(thm)],[])).
% 49.93/32.57 tff(11949,plain,
% 49.93/32.57 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p0, s3, c_owned) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~node33(c_p0, s3, s4)))),
% 49.93/32.57 inference(quant_inst,[status(thm)],[])).
% 49.93/32.57 tff(11950,plain,
% 49.93/32.57 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p0, s3, c_owned) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~node33(c_p0, s3, s4))),
% 49.93/32.57 inference(modus_ponens,[status(thm)],[11949, 11948])).
% 49.93/32.57 tff(11951,plain,
% 49.93/32.57 ($false),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11950, 830, 11947, 1752, 11917])).
% 49.93/32.57 tff(11952,plain,(m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_cmd(c_p0, s3, c_idle) | (~node8(s3)) | (~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_state(c_p0, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.57 tff(11953,plain,
% 49.93/32.57 (~node34(c_p0, s3, s4)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11952, 11915, 1752, 10136, 11412, 9645, 6880])).
% 49.93/32.57 tff(11954,plain,
% 49.93/32.57 (m_processor_v_abort(c_p0, s3)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[9522, 11953, 11387])).
% 49.93/32.57 tff(11955,plain,
% 49.93/32.57 (m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11875, 11954, 11916])).
% 49.93/32.57 tff(11956,plain,
% 49.93/32.57 (m_main_v_REPLY_h_STALL(s3)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11826, 11955])).
% 49.93/32.57 tff(11957,plain,
% 49.93/32.57 (m_processor_v_REPLY_h_STALL(c_p1, s3)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11820, 11956])).
% 49.93/32.57 tff(11958,plain,
% 49.93/32.57 ($false),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11813, 1363, 11957, 11810])).
% 49.93/32.57 tff(11959,plain,((~node60(c_p1, s3)) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_cmd(c_p0, s3, c_idle) | (~node8(s3)) | m_processor_v_CMD(c_p0, s3, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.57 tff(11960,plain,
% 49.93/32.57 (~node8(s3)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11959, 11913, 1752, 11805, 11810])).
% 49.93/32.57 tff(11961,plain,
% 49.93/32.57 ($false),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[9603, 11960, 11809, 9550])).
% 49.93/32.57 tff(11962,plain,((~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~node60(c_p1, s3)) | m_processor_v_waiting(c_p0, s4) | m_main_v_CMD(s3, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.57 tff(11963,plain,
% 49.93/32.57 (m_main_v_CMD(s3, c_idle)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11962, 10804, 1752, 10565, 11804, 9374])).
% 49.93/32.57 tff(11964,assumption,(m_main_v_CMD(s3, c_idle)), introduced(assumption)).
% 49.93/32.57 tff(11965,plain,
% 49.93/32.57 (~m_main_v_CMD(s3, c_read_h_shared)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11373, 8277, 11964])).
% 49.93/32.57 tff(11966,assumption,(m_memory_v_CMD(c_m, s3, c_read_h_shared)), introduced(assumption)).
% 49.93/32.57 tff(11967,plain,
% 49.93/32.57 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s3)) | m_main_v_CMD(s3, c_read_h_shared) | (~m_memory_v_CMD(c_m, s3, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (~node1(s3)) | m_main_v_CMD(s3, c_read_h_shared) | (~m_memory_v_CMD(c_m, s3, c_read_h_shared)))),
% 49.93/32.57 inference(rewrite,[status(thm)],[])).
% 49.93/32.57 tff(11968,plain,
% 49.93/32.57 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s3)) | m_main_v_CMD(s3, c_read_h_shared) | (~m_memory_v_CMD(c_m, s3, c_read_h_shared)))),
% 49.93/32.57 inference(quant_inst,[status(thm)],[])).
% 49.93/32.57 tff(11969,plain,
% 49.93/32.57 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (~node1(s3)) | m_main_v_CMD(s3, c_read_h_shared) | (~m_memory_v_CMD(c_m, s3, c_read_h_shared))),
% 49.93/32.57 inference(modus_ponens,[status(thm)],[11968, 11967])).
% 49.93/32.57 tff(11970,plain,
% 49.93/32.57 ($false),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11969, 4693, 9605, 10083, 11966])).
% 49.93/32.57 tff(11971,plain,((~m_memory_v_CMD(c_m, s3, c_read_h_shared)) | m_main_v_CMD(s3, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.57 tff(11972,plain,
% 49.93/32.57 (~m_memory_v_CMD(c_m, s3, c_read_h_shared)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11971, 11965])).
% 49.93/32.57 tff(11973,assumption,(node21(c_m, s3)), introduced(assumption)).
% 49.93/32.57 tff(11974,plain,
% 49.93/32.57 (m_memory_v_CMD(c_m, s3, c_read_h_shared) | m_memory_v_CMD(c_m, s3, c_read_h_owned)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[10003, 7430, 11973])).
% 49.93/32.57 tff(11975,plain,
% 49.93/32.57 (m_memory_v_CMD(c_m, s3, c_read_h_owned)),
% 49.93/32.57 inference(unit_resolution,[status(thm)],[11974, 11972])).
% 49.93/32.58 tff(11976,plain,
% 49.93/32.58 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_read_h_owned)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned)))) | (~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_read_h_owned)))),
% 49.93/32.58 inference(rewrite,[status(thm)],[])).
% 49.93/32.58 tff(11977,plain,
% 49.93/32.58 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_read_h_owned)))),
% 49.93/32.58 inference(quant_inst,[status(thm)],[])).
% 49.93/32.58 tff(11978,plain,
% 49.93/32.58 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned)))) | (~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_read_h_owned))),
% 49.93/32.58 inference(modus_ponens,[status(thm)],[11977, 11976])).
% 49.93/32.58 tff(11979,plain,
% 49.93/32.58 (~m_main_v_CMD(s3, c_read_h_owned)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[11978, 1971, 11964])).
% 49.93/32.58 tff(11980,plain,
% 49.93/32.58 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s3, c_read_h_owned) | (~node1(s3)) | (~m_memory_v_CMD(c_m, s3, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s3, c_read_h_owned) | (~node1(s3)) | (~m_memory_v_CMD(c_m, s3, c_read_h_owned)))),
% 49.93/32.58 inference(rewrite,[status(thm)],[])).
% 49.93/32.58 tff(11981,plain,
% 49.93/32.58 (((~node1(s3)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_memory_v_CMD(c_m, s3, c_read_h_owned))) <=> (m_main_v_CMD(s3, c_read_h_owned) | (~node1(s3)) | (~m_memory_v_CMD(c_m, s3, c_read_h_owned)))),
% 49.93/32.58 inference(rewrite,[status(thm)],[])).
% 49.93/32.58 tff(11982,plain,
% 49.93/32.58 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s3)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_memory_v_CMD(c_m, s3, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s3, c_read_h_owned) | (~node1(s3)) | (~m_memory_v_CMD(c_m, s3, c_read_h_owned))))),
% 49.93/32.58 inference(monotonicity,[status(thm)],[11981])).
% 49.93/32.58 tff(11983,plain,
% 49.93/32.58 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s3)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_memory_v_CMD(c_m, s3, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s3, c_read_h_owned) | (~node1(s3)) | (~m_memory_v_CMD(c_m, s3, c_read_h_owned)))),
% 49.93/32.58 inference(transitivity,[status(thm)],[11982, 11980])).
% 49.93/32.58 tff(11984,plain,
% 49.93/32.58 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s3)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_memory_v_CMD(c_m, s3, c_read_h_owned)))),
% 49.93/32.58 inference(quant_inst,[status(thm)],[])).
% 49.93/32.58 tff(11985,plain,
% 49.93/32.58 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s3, c_read_h_owned) | (~node1(s3)) | (~m_memory_v_CMD(c_m, s3, c_read_h_owned))),
% 49.93/32.58 inference(modus_ponens,[status(thm)],[11984, 11983])).
% 49.93/32.58 tff(11986,plain,
% 49.93/32.58 ($false),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[11985, 4693, 11979, 10083, 11975])).
% 49.93/32.58 tff(11987,plain,((~m_main_v_CMD(s3, c_idle)) | (~node21(c_m, s3))), inference(lemma,lemma(discharge,[]))).
% 49.93/32.58 tff(11988,plain,
% 49.93/32.58 (~node21(c_m, s3)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[11987, 11963])).
% 49.93/32.58 tff(11989,plain,
% 49.93/32.58 (~node18(c_m, s3, s4)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[9866, 9858, 2065])).
% 49.93/32.58 tff(11990,assumption,(~node21(c_m, s3)), introduced(assumption)).
% 49.93/32.58 tff(11991,plain,
% 49.93/32.58 (~node22(c_m, s3, s4)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[9885, 9858, 2065])).
% 49.93/32.58 tff(11992,plain,
% 49.93/32.58 (m_memory_v_abort(c_m, s3)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[9996, 11991, 11990, 9973])).
% 49.93/32.58 tff(11993,plain,
% 49.93/32.58 ($false),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[9878, 11992, 11989])).
% 49.93/32.58 tff(11994,plain,((~m_memory_v_busy(c_m, s3)) | node21(c_m, s3) | node19(c_m, s3) | m_memory_v_busy(c_m, s4)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.58 tff(11995,plain,
% 49.93/32.58 (~m_memory_v_busy(c_m, s3)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[11994, 11988, 11797, 2065])).
% 49.93/32.58 tff(11996,plain,
% 49.93/32.58 (((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))) | ((~m_memory_v_busy(c_m, s2)) | m_memory_v_busy(c_m, s3) | (~node22(c_m, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))) | (~m_memory_v_busy(c_m, s2)) | m_memory_v_busy(c_m, s3) | (~node22(c_m, s2, s3)))),
% 49.93/32.58 inference(rewrite,[status(thm)],[])).
% 49.93/32.58 tff(11997,plain,
% 49.93/32.58 ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))) | ((~m_memory_v_busy(c_m, s2)) | m_memory_v_busy(c_m, s3) | (~node22(c_m, s2, s3)))),
% 49.93/32.58 inference(quant_inst,[status(thm)],[])).
% 49.93/32.58 tff(11998,plain,
% 49.93/32.58 ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))) | (~m_memory_v_busy(c_m, s2)) | m_memory_v_busy(c_m, s3) | (~node22(c_m, s2, s3))),
% 49.93/32.58 inference(modus_ponens,[status(thm)],[11997, 11996])).
% 49.93/32.58 tff(11999,plain,
% 49.93/32.58 ($false),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[11998, 7345, 9847, 10364, 9926])).
% 49.93/32.58 tff(12000,plain,((~node22(c_m, s2, s3)) | m_memory_v_busy(c_m, s3) | (~m_memory_v_busy(c_m, s2))), inference(lemma,lemma(discharge,[]))).
% 49.93/32.58 tff(12001,plain,
% 49.93/32.58 (~node22(c_m, s2, s3)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[12000, 9847, 9926])).
% 49.93/32.58 tff(12002,plain,
% 49.93/32.58 (m_memory_v_abort(c_m, s2)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[10387, 12001, 10363, 10362])).
% 49.93/32.58 tff(12003,plain,
% 49.93/32.58 (node18(c_m, s2, s3)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[10249, 12002])).
% 49.93/32.58 tff(12004,plain,
% 49.93/32.58 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | ((~m_memory_v_busy(c_m, s2)) | m_memory_v_busy(c_m, s3) | (~node18(c_m, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | (~m_memory_v_busy(c_m, s2)) | m_memory_v_busy(c_m, s3) | (~node18(c_m, s2, s3)))),
% 49.93/32.58 inference(rewrite,[status(thm)],[])).
% 49.93/32.58 tff(12005,plain,
% 49.93/32.58 (((~node18(c_m, s2, s3)) | (~m_memory_v_busy(c_m, s2)) | m_memory_v_busy(c_m, s3)) <=> ((~m_memory_v_busy(c_m, s2)) | m_memory_v_busy(c_m, s3) | (~node18(c_m, s2, s3)))),
% 49.93/32.58 inference(rewrite,[status(thm)],[])).
% 49.93/32.58 tff(12006,plain,
% 49.93/32.58 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | ((~node18(c_m, s2, s3)) | (~m_memory_v_busy(c_m, s2)) | m_memory_v_busy(c_m, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | ((~m_memory_v_busy(c_m, s2)) | m_memory_v_busy(c_m, s3) | (~node18(c_m, s2, s3))))),
% 49.93/32.58 inference(monotonicity,[status(thm)],[12005])).
% 49.93/32.58 tff(12007,plain,
% 49.93/32.58 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | ((~node18(c_m, s2, s3)) | (~m_memory_v_busy(c_m, s2)) | m_memory_v_busy(c_m, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | (~m_memory_v_busy(c_m, s2)) | m_memory_v_busy(c_m, s3) | (~node18(c_m, s2, s3)))),
% 49.93/32.58 inference(transitivity,[status(thm)],[12006, 12004])).
% 49.93/32.58 tff(12008,plain,
% 49.93/32.58 ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | ((~node18(c_m, s2, s3)) | (~m_memory_v_busy(c_m, s2)) | m_memory_v_busy(c_m, s3))),
% 49.93/32.58 inference(quant_inst,[status(thm)],[])).
% 49.93/32.58 tff(12009,plain,
% 49.93/32.58 ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | (~m_memory_v_busy(c_m, s2)) | m_memory_v_busy(c_m, s3) | (~node18(c_m, s2, s3))),
% 49.93/32.58 inference(modus_ponens,[status(thm)],[12008, 12007])).
% 49.93/32.58 tff(12010,plain,
% 49.93/32.58 ($false),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[12009, 7401, 9847, 12003, 9926])).
% 49.93/32.58 tff(12011,plain,(m_memory_v_busy(c_m, s3) | (~m_memory_v_busy(c_m, s2)) | node21(c_m, s2) | node19(c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.58 tff(12012,plain,
% 49.93/32.58 (node21(c_m, s2)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[12011, 9847, 9926, 10031])).
% 49.93/32.58 tff(12013,plain,
% 49.93/32.58 ($false),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[12009, 7401, 9847, 10358, 9926])).
% 49.93/32.58 tff(12014,plain,((~node18(c_m, s2, s3)) | m_memory_v_busy(c_m, s3) | (~m_memory_v_busy(c_m, s2))), inference(lemma,lemma(discharge,[]))).
% 49.93/32.58 tff(12015,plain,
% 49.93/32.58 (~node18(c_m, s2, s3)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[12014, 9847, 9926])).
% 49.93/32.58 tff(12016,plain,
% 49.93/32.58 (~m_memory_v_abort(c_m, s2)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[10249, 12015])).
% 49.93/32.58 tff(12017,plain,
% 49.93/32.58 (node20(c_m, s2)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[10058, 12016, 9847, 5182, 10031])).
% 49.93/32.58 tff(12018,plain,
% 49.93/32.58 (~m_memory_v_CMD(c_m, s2, c_read_h_owned)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[9950, 12017])).
% 49.93/32.58 tff(12019,plain,
% 49.93/32.58 (((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))) | ((~node20(c_m, s2)) | (~m_memory_v_CMD(c_m, s2, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))) | (~node20(c_m, s2)) | (~m_memory_v_CMD(c_m, s2, c_read_h_shared)))),
% 49.93/32.58 inference(rewrite,[status(thm)],[])).
% 49.93/32.58 tff(12020,plain,
% 49.93/32.58 ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))) | ((~node20(c_m, s2)) | (~m_memory_v_CMD(c_m, s2, c_read_h_shared)))),
% 49.93/32.58 inference(quant_inst,[status(thm)],[])).
% 49.93/32.58 tff(12021,plain,
% 49.93/32.58 ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))) | (~node20(c_m, s2)) | (~m_memory_v_CMD(c_m, s2, c_read_h_shared))),
% 49.93/32.58 inference(modus_ponens,[status(thm)],[12020, 12019])).
% 49.93/32.58 tff(12022,plain,
% 49.93/32.58 ($false),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[12021, 4179, 10340, 9945])).
% 49.93/32.58 tff(12023,plain,((~node20(c_m, s2)) | (~m_memory_v_CMD(c_m, s2, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 49.93/32.58 tff(12024,plain,
% 49.93/32.58 (~m_memory_v_CMD(c_m, s2, c_read_h_shared)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[12023, 12017])).
% 49.93/32.58 tff(12025,plain,
% 49.93/32.58 ($false),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[10422, 12024, 12018, 12012])).
% 49.93/32.58 tff(12026,plain,(m_memory_v_busy(c_m, s3) | m_memory_v_master(c_m, s2) | (~m_memory_v_busy(c_m, s2))), inference(lemma,lemma(discharge,[]))).
% 49.93/32.58 tff(12027,plain,
% 49.93/32.58 (~m_memory_v_busy(c_m, s2)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[12026, 11795, 11995])).
% 49.93/32.58 tff(12028,plain,
% 49.93/32.58 (m_memory_v_CMD(c_m, s2, c_read_h_owned)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[9899, 11719])).
% 49.93/32.58 tff(12029,plain,
% 49.93/32.58 (~node25(c_m, s2)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[9964, 12028])).
% 49.93/32.58 tff(12030,plain,
% 49.93/32.58 (~node47(c_p1, s2)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[5419, 657, 11733])).
% 49.93/32.58 tff(12031,plain,
% 49.93/32.58 (m_processor_v_waiting(c_p1, s3)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[5403, 2621, 12030, 11718, 2595])).
% 49.93/32.58 tff(12032,plain,
% 49.93/32.58 (~node20(c_m, s2)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[9950, 12028])).
% 49.93/32.58 tff(12033,plain,
% 49.93/32.58 (~m_processor_v_REPLY_h_STALL(c_p1, s2)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[9301, 11724])).
% 49.93/32.58 tff(12034,plain,
% 49.93/32.58 (~m_main_v_REPLY_h_STALL(s2)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[9309, 12033])).
% 49.93/32.58 tff(12035,plain,
% 49.93/32.58 (~m_memory_v_REPLY_h_STALL(c_m, s2)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[9940, 12034])).
% 49.93/32.58 tff(12036,plain,
% 49.93/32.58 (((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_snoop(c_p1, s3, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_snoop(c_p1, s3, c_shared)))),
% 49.93/32.58 inference(rewrite,[status(thm)],[])).
% 49.93/32.58 tff(12037,plain,
% 49.93/32.58 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_snoop(c_p1, s3, c_shared)))),
% 49.93/32.58 inference(quant_inst,[status(thm)],[])).
% 49.93/32.58 tff(12038,plain,
% 49.93/32.58 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_snoop(c_p1, s3, c_shared))),
% 49.93/32.58 inference(modus_ponens,[status(thm)],[12037, 12036])).
% 49.93/32.58 tff(12039,plain,
% 49.93/32.58 (~m_processor_v_snoop(c_p1, s3, c_shared)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[12038, 4096, 11796])).
% 49.93/32.58 tff(12040,plain,
% 49.93/32.58 (~node65(c_p1, s3)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[10761, 4107, 12039])).
% 49.93/32.58 tff(12041,plain,
% 49.93/32.58 (((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | ((~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_snoop(c_p1, s3, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_snoop(c_p1, s3, c_owned)))),
% 49.93/32.58 inference(rewrite,[status(thm)],[])).
% 49.93/32.58 tff(12042,plain,
% 49.93/32.58 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | ((~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_snoop(c_p1, s3, c_owned)))),
% 49.93/32.58 inference(quant_inst,[status(thm)],[])).
% 49.93/32.58 tff(12043,plain,
% 49.93/32.58 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_snoop(c_p1, s3, c_owned))),
% 49.93/32.58 inference(modus_ponens,[status(thm)],[12042, 12041])).
% 49.93/32.58 tff(12044,plain,
% 49.93/32.58 (~m_processor_v_snoop(c_p1, s3, c_owned)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[12043, 4071, 11796])).
% 49.93/32.58 tff(12045,plain,
% 49.93/32.58 (~node64(c_p1, s3)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[10718, 4082, 12044])).
% 49.93/32.58 tff(12046,assumption,(m_processor_v_waiting(c_p1, s3)), introduced(assumption)).
% 49.93/32.58 tff(12047,assumption,(node46(c_p1, s3, s4)), introduced(assumption)).
% 49.93/32.58 tff(12048,plain,
% 49.93/32.58 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p1, s3)) | m_processor_v_waiting(c_p1, s4) | (~node46(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s3)) | m_processor_v_waiting(c_p1, s4) | (~node46(c_p1, s3, s4)))),
% 49.93/32.58 inference(rewrite,[status(thm)],[])).
% 49.93/32.58 tff(12049,plain,
% 49.93/32.58 ((m_processor_v_waiting(c_p1, s4) | (~m_processor_v_waiting(c_p1, s3)) | (~node46(c_p1, s3, s4))) <=> ((~m_processor_v_waiting(c_p1, s3)) | m_processor_v_waiting(c_p1, s4) | (~node46(c_p1, s3, s4)))),
% 49.93/32.58 inference(rewrite,[status(thm)],[])).
% 49.93/32.58 tff(12050,plain,
% 49.93/32.58 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s4) | (~m_processor_v_waiting(c_p1, s3)) | (~node46(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p1, s3)) | m_processor_v_waiting(c_p1, s4) | (~node46(c_p1, s3, s4))))),
% 49.93/32.58 inference(monotonicity,[status(thm)],[12049])).
% 49.93/32.58 tff(12051,plain,
% 49.93/32.58 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s4) | (~m_processor_v_waiting(c_p1, s3)) | (~node46(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s3)) | m_processor_v_waiting(c_p1, s4) | (~node46(c_p1, s3, s4)))),
% 49.93/32.58 inference(transitivity,[status(thm)],[12050, 12048])).
% 49.93/32.58 tff(12052,plain,
% 49.93/32.58 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s4) | (~m_processor_v_waiting(c_p1, s3)) | (~node46(c_p1, s3, s4)))),
% 49.93/32.58 inference(quant_inst,[status(thm)],[])).
% 49.93/32.58 tff(12053,plain,
% 49.93/32.58 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s3)) | m_processor_v_waiting(c_p1, s4) | (~node46(c_p1, s3, s4))),
% 49.93/32.58 inference(modus_ponens,[status(thm)],[12052, 12051])).
% 49.93/32.58 tff(12054,plain,
% 49.93/32.58 ($false),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[12053, 11708, 12046, 6709, 12047])).
% 49.93/32.58 tff(12055,plain,((~node46(c_p1, s3, s4)) | (~m_processor_v_waiting(c_p1, s3)) | m_processor_v_waiting(c_p1, s4)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.58 tff(12056,plain,
% 49.93/32.58 (~node46(c_p1, s3, s4)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[12055, 12046, 6709])).
% 49.93/32.58 tff(12057,plain,
% 49.93/32.58 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~node53(c_p1, s3, s4)) | node46(c_p1, s3, s4) | (~m_processor_v_abort(c_p1, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~node53(c_p1, s3, s4)) | node46(c_p1, s3, s4) | (~m_processor_v_abort(c_p1, s3)))),
% 49.93/32.58 inference(rewrite,[status(thm)],[])).
% 49.93/32.58 tff(12058,plain,
% 49.93/32.58 (((~m_processor_v_abort(c_p1, s3)) | node46(c_p1, s3, s4) | (~node53(c_p1, s3, s4))) <=> ((~node53(c_p1, s3, s4)) | node46(c_p1, s3, s4) | (~m_processor_v_abort(c_p1, s3)))),
% 49.93/32.58 inference(rewrite,[status(thm)],[])).
% 49.93/32.58 tff(12059,plain,
% 49.93/32.58 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s3)) | node46(c_p1, s3, s4) | (~node53(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~node53(c_p1, s3, s4)) | node46(c_p1, s3, s4) | (~m_processor_v_abort(c_p1, s3))))),
% 49.93/32.58 inference(monotonicity,[status(thm)],[12058])).
% 49.93/32.58 tff(12060,plain,
% 49.93/32.58 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s3)) | node46(c_p1, s3, s4) | (~node53(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~node53(c_p1, s3, s4)) | node46(c_p1, s3, s4) | (~m_processor_v_abort(c_p1, s3)))),
% 49.93/32.58 inference(transitivity,[status(thm)],[12059, 12057])).
% 49.93/32.58 tff(12061,plain,
% 49.93/32.58 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s3)) | node46(c_p1, s3, s4) | (~node53(c_p1, s3, s4)))),
% 49.93/32.58 inference(quant_inst,[status(thm)],[])).
% 49.93/32.58 tff(12062,plain,
% 49.93/32.58 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~node53(c_p1, s3, s4)) | node46(c_p1, s3, s4) | (~m_processor_v_abort(c_p1, s3))),
% 49.93/32.58 inference(modus_ponens,[status(thm)],[12061, 12060])).
% 49.93/32.58 tff(12063,plain,
% 49.93/32.58 (node46(c_p1, s3, s4) | (~m_processor_v_abort(c_p1, s3))),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[12062, 11690, 6785])).
% 49.93/32.58 tff(12064,plain,
% 49.93/32.58 (~m_processor_v_abort(c_p1, s3)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[12063, 12056])).
% 49.93/32.58 tff(12065,assumption,(~node64(c_p1, s3)), introduced(assumption)).
% 49.93/32.58 tff(12066,assumption,(~node65(c_p1, s3)), introduced(assumption)).
% 49.93/32.58 tff(12067,plain,
% 49.93/32.58 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[6800, 10566, 6709, 6710])).
% 49.93/32.58 tff(12068,plain,
% 49.93/32.58 (~node17(s3)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[10022, 10566])).
% 49.93/32.58 tff(12069,plain,
% 49.93/32.58 (~m_memory_v_master(c_m, s3)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[9494, 12068])).
% 49.93/32.58 tff(12070,plain,
% 49.93/32.58 (~node29(c_m, s3)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[9502, 12069])).
% 49.93/32.58 tff(12071,plain,
% 49.93/32.58 (m_memory_v_cmd(c_m, s3, c_idle)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[9510, 12070])).
% 49.93/32.58 tff(12072,plain,
% 49.93/32.58 (m_processor_v_cmd(c_p2, s3, c_idle)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[9594, 10571])).
% 49.93/32.58 tff(12073,plain,
% 49.93/32.58 (node34(c_p1, s3, s4)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[6720, 10566, 6710])).
% 49.93/32.58 tff(12074,plain,
% 49.93/32.58 (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[6777, 512, 6730, 10573, 6713, 12073])).
% 49.93/32.58 tff(12075,plain,
% 49.93/32.58 (~m_main_v_CMD(s3, c_write_h_invalid)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[10629, 12074])).
% 49.93/32.58 tff(12076,plain,
% 49.93/32.58 (node62(c_p1, s3) | node65(c_p1, s3) | node64(c_p1, s3) | m_processor_v_cmd(c_p1, s3, c_idle) | node66(c_p1, s3)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[9469, 1508, 9463])).
% 49.93/32.58 tff(12077,plain,
% 49.93/32.58 (node66(c_p1, s3)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[12076, 12066, 10640, 9446, 12065])).
% 49.93/32.58 tff(12078,assumption,(~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)), introduced(assumption)).
% 49.93/32.58 tff(12079,plain,
% 49.93/32.58 ((~m_processor_v_state(c_p1, s3, c_owned)) | node63(c_p1, s3) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | node62(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | node65(c_p1, s3) | node64(c_p1, s3)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[10756, 7232, 6711])).
% 49.93/32.58 tff(12080,plain,
% 49.93/32.58 (~m_processor_v_snoop(c_p1, s3, c_invalid)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[12079, 12066, 9463, 2595, 10640, 12065, 12078])).
% 49.93/32.58 tff(12081,plain,
% 49.93/32.58 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | (m_processor_v_snoop(c_p1, s3, c_invalid) | (~node66(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | m_processor_v_snoop(c_p1, s3, c_invalid) | (~node66(c_p1, s3)))),
% 49.93/32.58 inference(rewrite,[status(thm)],[])).
% 49.93/32.58 tff(12082,plain,
% 49.93/32.58 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | (m_processor_v_snoop(c_p1, s3, c_invalid) | (~node66(c_p1, s3)))),
% 49.93/32.58 inference(quant_inst,[status(thm)],[])).
% 49.93/32.58 tff(12083,plain,
% 49.93/32.58 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | m_processor_v_snoop(c_p1, s3, c_invalid) | (~node66(c_p1, s3))),
% 49.93/32.58 inference(modus_ponens,[status(thm)],[12082, 12081])).
% 49.93/32.58 tff(12084,plain,
% 49.93/32.58 ($false),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[12083, 9118, 12080, 12077])).
% 49.93/32.58 tff(12085,plain,(node65(c_p1, s3) | node63(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_owned)) | node64(c_p1, s3) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_cmd(c_p1, s3, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.58 tff(12086,plain,
% 49.93/32.58 (m_processor_v_cmd(c_p1, s3, c_write_h_invalid)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[12085, 9446, 2595, 12066, 12065, 10566, 9463])).
% 49.93/32.58 tff(12087,plain,
% 49.93/32.58 ((~node10(s3)) | m_main_v_CMD(s3, c_write_h_invalid)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[10733, 3481, 12086])).
% 49.93/32.58 tff(12088,plain,
% 49.93/32.58 (~node10(s3)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[12087, 12075])).
% 49.93/32.58 tff(12089,plain,
% 49.93/32.58 ($false),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[10800, 12088, 12072, 9550, 10786, 10788])).
% 49.93/32.58 tff(12090,plain,(m_processor_v_cmd(c_p1, s3, c_idle) | (~m_memory_v_cmd(c_m, s3, c_idle)) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_invalid) | m_processor_v_abort(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_owned)) | node65(c_p1, s3) | node64(c_p1, s3) | node63(c_p1, s3)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.58 tff(12091,plain,
% 49.93/32.58 (m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[12090, 12071, 9446, 12067, 6713, 6710, 2595, 12066, 12065, 9463])).
% 49.93/32.58 tff(12092,plain,
% 49.93/32.58 (node47(c_p1, s3)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[6792, 12091, 6709, 6710, 10566])).
% 49.93/32.58 tff(12093,plain,
% 49.93/32.58 ($false),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[6804, 657, 12067, 12092])).
% 49.93/32.58 tff(12094,plain,(m_processor_v_cmd(c_p1, s3, c_idle) | m_processor_v_waiting(c_p1, s4) | m_processor_v_abort(c_p1, s3) | m_processor_v_state(c_p1, s4, c_invalid) | (~m_processor_v_state(c_p1, s3, c_owned)) | node65(c_p1, s3) | node64(c_p1, s3) | node63(c_p1, s3)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.58 tff(12095,plain,
% 49.93/32.58 (m_processor_v_cmd(c_p1, s3, c_idle)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[12094, 12064, 6709, 6713, 2595, 12040, 12045, 9463])).
% 49.93/32.58 tff(12096,plain,
% 49.93/32.58 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)))),
% 49.93/32.58 inference(rewrite,[status(thm)],[])).
% 49.93/32.58 tff(12097,plain,
% 49.93/32.58 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)))),
% 49.93/32.58 inference(quant_inst,[status(thm)],[])).
% 49.93/32.58 tff(12098,plain,
% 49.93/32.58 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid))),
% 49.93/32.58 inference(modus_ponens,[status(thm)],[12097, 12096])).
% 49.93/32.58 tff(12099,plain,
% 49.93/32.58 (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[12098, 3630, 12095])).
% 49.93/32.58 tff(12100,plain,
% 49.93/32.58 ((~m_processor_v_master(c_p1, s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | node62(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | node65(c_p1, s3) | node64(c_p1, s3)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[10756, 7232, 2595, 9463])).
% 49.93/32.58 tff(12101,plain,
% 49.93/32.58 (~m_processor_v_master(c_p1, s3)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[12100, 12099, 11796, 10640, 12045, 12040])).
% 49.93/32.58 tff(12102,plain,
% 49.93/32.58 (^[I0: $i, X: $i] : refl((m_processor_v_master(I0, X) | (~node47(I0, X))) <=> (m_processor_v_master(I0, X) | (~node47(I0, X))))),
% 49.93/32.58 inference(bind,[status(th)],[])).
% 49.93/32.58 tff(12103,plain,
% 49.93/32.58 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))),
% 49.93/32.58 inference(quant_intro,[status(thm)],[12102])).
% 49.93/32.58 tff(12104,plain,
% 49.93/32.58 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))),
% 49.93/32.58 inference(rewrite,[status(thm)],[])).
% 49.93/32.58 tff(12105,axiom,(![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_96')).
% 49.93/32.58 tff(12106,plain,
% 49.93/32.58 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))),
% 49.93/32.58 inference(modus_ponens,[status(thm)],[12105, 12104])).
% 49.93/32.58 tff(12107,plain,(
% 49.93/32.58 ![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))),
% 49.93/32.58 inference(skolemize,[status(sab)],[12106])).
% 49.93/32.58 tff(12108,plain,
% 49.93/32.58 (![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))),
% 49.93/32.58 inference(modus_ponens,[status(thm)],[12107, 12103])).
% 49.93/32.58 tff(12109,plain,
% 49.93/32.58 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node47(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node47(c_p1, s3)))),
% 49.93/32.58 inference(rewrite,[status(thm)],[])).
% 49.93/32.58 tff(12110,plain,
% 49.93/32.58 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node47(c_p1, s3)))),
% 49.93/32.58 inference(quant_inst,[status(thm)],[])).
% 49.93/32.58 tff(12111,plain,
% 49.93/32.58 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node47(c_p1, s3))),
% 49.93/32.58 inference(modus_ponens,[status(thm)],[12110, 12109])).
% 49.93/32.58 tff(12112,plain,
% 49.93/32.58 (~node47(c_p1, s3)),
% 49.93/32.58 inference(unit_resolution,[status(thm)],[12111, 12108, 12101])).
% 49.93/32.58 tff(12113,plain,
% 49.93/32.58 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node48(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node48(c_p1, s3)))),
% 49.93/32.58 inference(rewrite,[status(thm)],[])).
% 49.93/32.58 tff(12114,plain,
% 49.93/32.58 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node48(c_p1, s3)))),
% 49.93/32.58 inference(quant_inst,[status(thm)],[])).
% 49.93/32.58 tff(12115,plain,
% 49.93/32.58 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node48(c_p1, s3))),
% 49.93/32.59 inference(modus_ponens,[status(thm)],[12114, 12113])).
% 49.93/32.59 tff(12116,plain,
% 49.93/32.59 (~node48(c_p1, s3)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[12115, 11562, 12101])).
% 49.93/32.59 tff(12117,assumption,(node52(c_p1, s3, s4)), introduced(assumption)).
% 49.93/32.59 tff(12118,plain,
% 49.93/32.59 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p1, s3)) | m_processor_v_waiting(c_p1, s4) | (~node52(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s3)) | m_processor_v_waiting(c_p1, s4) | (~node52(c_p1, s3, s4)))),
% 49.93/32.59 inference(rewrite,[status(thm)],[])).
% 49.93/32.59 tff(12119,plain,
% 49.93/32.59 ((m_processor_v_waiting(c_p1, s4) | (~m_processor_v_waiting(c_p1, s3)) | (~node52(c_p1, s3, s4))) <=> ((~m_processor_v_waiting(c_p1, s3)) | m_processor_v_waiting(c_p1, s4) | (~node52(c_p1, s3, s4)))),
% 49.93/32.59 inference(rewrite,[status(thm)],[])).
% 49.93/32.59 tff(12120,plain,
% 49.93/32.59 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s4) | (~m_processor_v_waiting(c_p1, s3)) | (~node52(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p1, s3)) | m_processor_v_waiting(c_p1, s4) | (~node52(c_p1, s3, s4))))),
% 49.93/32.59 inference(monotonicity,[status(thm)],[12119])).
% 49.93/32.59 tff(12121,plain,
% 49.93/32.59 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s4) | (~m_processor_v_waiting(c_p1, s3)) | (~node52(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s3)) | m_processor_v_waiting(c_p1, s4) | (~node52(c_p1, s3, s4)))),
% 49.93/32.59 inference(transitivity,[status(thm)],[12120, 12118])).
% 49.93/32.59 tff(12122,plain,
% 49.93/32.59 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s4) | (~m_processor_v_waiting(c_p1, s3)) | (~node52(c_p1, s3, s4)))),
% 49.93/32.59 inference(quant_inst,[status(thm)],[])).
% 49.93/32.59 tff(12123,plain,
% 49.93/32.59 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s3)) | m_processor_v_waiting(c_p1, s4) | (~node52(c_p1, s3, s4))),
% 49.93/32.59 inference(modus_ponens,[status(thm)],[12122, 12121])).
% 49.93/32.59 tff(12124,plain,
% 49.93/32.59 ($false),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[12123, 10820, 12046, 12117, 6709])).
% 49.93/32.59 tff(12125,plain,((~node52(c_p1, s3, s4)) | (~m_processor_v_waiting(c_p1, s3)) | m_processor_v_waiting(c_p1, s4)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.59 tff(12126,plain,
% 49.93/32.59 (~node52(c_p1, s3, s4)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[12125, 12046, 6709])).
% 49.93/32.59 tff(12127,plain,
% 49.93/32.59 (~m_main_v_CMD(s3, c_write_h_resp_h_shared)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[11535, 7650, 11964])).
% 49.93/32.59 tff(12128,plain,
% 49.93/32.59 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)))),
% 49.93/32.59 inference(rewrite,[status(thm)],[])).
% 49.93/32.59 tff(12129,plain,
% 49.93/32.59 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)))),
% 49.93/32.59 inference(quant_inst,[status(thm)],[])).
% 49.93/32.59 tff(12130,plain,
% 49.93/32.59 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared))),
% 49.93/32.59 inference(modus_ponens,[status(thm)],[12129, 12128])).
% 49.93/32.59 tff(12131,plain,
% 49.93/32.59 (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[12130, 1260, 10577, 12127])).
% 49.93/32.59 tff(12132,plain,
% 49.93/32.59 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~node51(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~node51(c_p1, s3)))),
% 49.93/32.59 inference(rewrite,[status(thm)],[])).
% 49.93/32.59 tff(12133,plain,
% 49.93/32.59 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~node51(c_p1, s3)))),
% 49.93/32.59 inference(quant_inst,[status(thm)],[])).
% 49.93/32.59 tff(12134,plain,
% 49.93/32.59 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~node51(c_p1, s3))),
% 49.93/32.59 inference(modus_ponens,[status(thm)],[12133, 12132])).
% 49.93/32.59 tff(12135,plain,
% 49.93/32.59 (~node51(c_p1, s3)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[12134, 11549, 12131])).
% 49.93/32.59 tff(12136,assumption,(~node47(c_p1, s3)), introduced(assumption)).
% 49.93/32.59 tff(12137,assumption,(~node48(c_p1, s3)), introduced(assumption)).
% 49.93/32.59 tff(12138,assumption,(~node52(c_p1, s3, s4)), introduced(assumption)).
% 49.93/32.59 tff(12139,plain,
% 49.93/32.59 (~m_main_v_CMD(s3, c_response)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[10100, 10097, 11964])).
% 49.93/32.59 tff(12140,plain,
% 49.93/32.59 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_response) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s3, c_response) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_response)))),
% 49.93/32.59 inference(rewrite,[status(thm)],[])).
% 49.93/32.59 tff(12141,plain,
% 49.93/32.59 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_response) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_response)))),
% 49.93/32.59 inference(quant_inst,[status(thm)],[])).
% 49.93/32.59 tff(12142,plain,
% 49.93/32.59 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s3, c_response) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_response))),
% 49.93/32.59 inference(modus_ponens,[status(thm)],[12141, 12140])).
% 49.93/32.59 tff(12143,plain,
% 49.93/32.59 (~m_processor_v_CMD(c_p1, s3, c_response)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[12142, 1260, 10577, 12139])).
% 49.93/32.59 tff(12144,plain,
% 49.93/32.59 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | ((~node49(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_response))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_response))),
% 49.93/32.59 inference(rewrite,[status(thm)],[])).
% 49.93/32.59 tff(12145,plain,
% 49.93/32.59 ((m_processor_v_CMD(c_p1, s3, c_response) | (~node49(c_p1, s3))) <=> ((~node49(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_response))),
% 49.93/32.59 inference(rewrite,[status(thm)],[])).
% 49.93/32.59 tff(12146,plain,
% 49.93/32.59 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_response) | (~node49(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | ((~node49(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_response)))),
% 49.93/32.59 inference(monotonicity,[status(thm)],[12145])).
% 49.93/32.59 tff(12147,plain,
% 49.93/32.59 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_response) | (~node49(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_response))),
% 49.93/32.59 inference(transitivity,[status(thm)],[12146, 12144])).
% 49.93/32.59 tff(12148,plain,
% 49.93/32.59 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_response) | (~node49(c_p1, s3)))),
% 49.93/32.59 inference(quant_inst,[status(thm)],[])).
% 49.93/32.59 tff(12149,plain,
% 49.93/32.59 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_response)),
% 49.93/32.59 inference(modus_ponens,[status(thm)],[12148, 12147])).
% 49.93/32.59 tff(12150,plain,
% 49.93/32.59 (~node49(c_p1, s3)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[12149, 11579, 12143])).
% 49.93/32.59 tff(12151,plain,
% 49.93/32.59 (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[11586, 7663, 11964])).
% 49.93/32.59 tff(12152,plain,
% 49.93/32.59 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)))),
% 49.93/32.59 inference(rewrite,[status(thm)],[])).
% 49.93/32.59 tff(12153,plain,
% 49.93/32.59 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)))),
% 49.93/32.59 inference(quant_inst,[status(thm)],[])).
% 49.93/32.59 tff(12154,plain,
% 49.93/32.59 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid))),
% 49.93/32.59 inference(modus_ponens,[status(thm)],[12153, 12152])).
% 49.93/32.59 tff(12155,plain,
% 49.93/32.59 (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[12154, 1260, 10577, 12151])).
% 49.93/32.59 tff(12156,plain,
% 49.93/32.59 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~node50(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~node50(c_p1, s3)))),
% 49.93/32.59 inference(rewrite,[status(thm)],[])).
% 49.93/32.59 tff(12157,plain,
% 49.93/32.59 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~node50(c_p1, s3)))),
% 49.93/32.59 inference(quant_inst,[status(thm)],[])).
% 49.93/32.59 tff(12158,plain,
% 49.93/32.59 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~node50(c_p1, s3))),
% 49.93/32.59 inference(modus_ponens,[status(thm)],[12157, 12156])).
% 49.93/32.59 tff(12159,plain,
% 49.93/32.59 (~node50(c_p1, s3)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[12158, 11598, 12155])).
% 49.93/32.59 tff(12160,plain,
% 49.93/32.59 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s3) | node51(c_p1, s3) | node50(c_p1, s3) | node49(c_p1, s3) | node52(c_p1, s3, s4) | node48(c_p1, s3) | node47(c_p1, s3) | (~node53(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p1, s3) | node51(c_p1, s3) | node50(c_p1, s3) | node49(c_p1, s3) | node52(c_p1, s3, s4) | node48(c_p1, s3) | node47(c_p1, s3) | (~node53(c_p1, s3, s4)))),
% 49.93/32.59 inference(rewrite,[status(thm)],[])).
% 49.93/32.59 tff(12161,plain,
% 49.93/32.59 ((m_processor_v_abort(c_p1, s3) | node47(c_p1, s3) | node48(c_p1, s3) | node49(c_p1, s3) | node50(c_p1, s3) | node51(c_p1, s3) | node52(c_p1, s3, s4) | (~node53(c_p1, s3, s4))) <=> (m_processor_v_abort(c_p1, s3) | node51(c_p1, s3) | node50(c_p1, s3) | node49(c_p1, s3) | node52(c_p1, s3, s4) | node48(c_p1, s3) | node47(c_p1, s3) | (~node53(c_p1, s3, s4)))),
% 49.93/32.59 inference(rewrite,[status(thm)],[])).
% 49.93/32.59 tff(12162,plain,
% 49.93/32.59 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s3) | node47(c_p1, s3) | node48(c_p1, s3) | node49(c_p1, s3) | node50(c_p1, s3) | node51(c_p1, s3) | node52(c_p1, s3, s4) | (~node53(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s3) | node51(c_p1, s3) | node50(c_p1, s3) | node49(c_p1, s3) | node52(c_p1, s3, s4) | node48(c_p1, s3) | node47(c_p1, s3) | (~node53(c_p1, s3, s4))))),
% 49.93/32.59 inference(monotonicity,[status(thm)],[12161])).
% 49.93/32.59 tff(12163,plain,
% 49.93/32.59 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s3) | node47(c_p1, s3) | node48(c_p1, s3) | node49(c_p1, s3) | node50(c_p1, s3) | node51(c_p1, s3) | node52(c_p1, s3, s4) | (~node53(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p1, s3) | node51(c_p1, s3) | node50(c_p1, s3) | node49(c_p1, s3) | node52(c_p1, s3, s4) | node48(c_p1, s3) | node47(c_p1, s3) | (~node53(c_p1, s3, s4)))),
% 49.93/32.59 inference(transitivity,[status(thm)],[12162, 12160])).
% 49.93/32.59 tff(12164,plain,
% 49.93/32.59 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s3) | node47(c_p1, s3) | node48(c_p1, s3) | node49(c_p1, s3) | node50(c_p1, s3) | node51(c_p1, s3) | node52(c_p1, s3, s4) | (~node53(c_p1, s3, s4)))),
% 49.93/32.59 inference(quant_inst,[status(thm)],[])).
% 49.93/32.59 tff(12165,plain,
% 49.93/32.59 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p1, s3) | node51(c_p1, s3) | node50(c_p1, s3) | node49(c_p1, s3) | node52(c_p1, s3, s4) | node48(c_p1, s3) | node47(c_p1, s3) | (~node53(c_p1, s3, s4))),
% 49.93/32.59 inference(modus_ponens,[status(thm)],[12164, 12163])).
% 49.93/32.59 tff(12166,plain,
% 49.93/32.59 (m_processor_v_abort(c_p1, s3) | node51(c_p1, s3) | node50(c_p1, s3) | node49(c_p1, s3) | node52(c_p1, s3, s4) | node48(c_p1, s3) | node47(c_p1, s3)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[12165, 11612, 6785])).
% 49.93/32.59 tff(12167,plain,
% 49.93/32.59 ($false),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[12166, 12159, 12150, 6710, 12138, 12137, 12136, 12135])).
% 49.93/32.59 tff(12168,plain,((~m_main_v_CMD(s3, c_idle)) | m_processor_v_abort(c_p1, s3) | node52(c_p1, s3, s4) | node48(c_p1, s3) | node47(c_p1, s3)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.59 tff(12169,plain,
% 49.93/32.59 (~m_main_v_CMD(s3, c_idle)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[12168, 12064, 12126, 12116, 12112])).
% 49.93/32.59 tff(12170,plain,
% 49.93/32.59 (node60(c_p1, s3)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[11803, 12064])).
% 49.93/32.59 tff(12171,plain,
% 49.93/32.59 (~m_memory_v_cmd(c_m, s3, c_idle)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[11962, 12095, 1752, 12170, 9816, 12169])).
% 49.93/32.59 tff(12172,plain,
% 49.93/32.59 (node29(c_m, s3)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[9510, 12171])).
% 49.93/32.59 tff(12173,plain,
% 49.93/32.59 (m_memory_v_busy(c_m, s3)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[9855, 12172])).
% 49.93/32.59 tff(12174,plain,
% 49.93/32.59 (~m_processor_v_REPLY_h_STALL(c_p1, s3)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[11813, 1363, 12170])).
% 49.93/32.59 tff(12175,plain,
% 49.93/32.59 (~m_main_v_REPLY_h_STALL(s3)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[11820, 12174])).
% 49.93/32.59 tff(12176,assumption,(m_memory_v_REPLY_h_STALL(c_m, s3)), introduced(assumption)).
% 49.93/32.59 tff(12177,plain,
% 49.93/32.59 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | (m_main_v_REPLY_h_STALL(s3) | (~m_memory_v_REPLY_h_STALL(c_m, s3)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | m_main_v_REPLY_h_STALL(s3) | (~m_memory_v_REPLY_h_STALL(c_m, s3)))),
% 49.93/32.59 inference(rewrite,[status(thm)],[])).
% 49.93/32.59 tff(12178,plain,
% 49.93/32.59 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | (m_main_v_REPLY_h_STALL(s3) | (~m_memory_v_REPLY_h_STALL(c_m, s3)))),
% 49.93/32.59 inference(quant_inst,[status(thm)],[])).
% 49.93/32.59 tff(12179,plain,
% 49.93/32.59 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | m_main_v_REPLY_h_STALL(s3) | (~m_memory_v_REPLY_h_STALL(c_m, s3))),
% 49.93/32.59 inference(modus_ponens,[status(thm)],[12178, 12177])).
% 49.93/32.59 tff(12180,plain,
% 49.93/32.59 ($false),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[12179, 4014, 10505, 12176])).
% 49.93/32.59 tff(12181,plain,((~m_memory_v_REPLY_h_STALL(c_m, s3)) | m_main_v_REPLY_h_STALL(s3)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.59 tff(12182,plain,
% 49.93/32.59 (~m_memory_v_REPLY_h_STALL(c_m, s3)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[12181, 12175])).
% 49.93/32.59 tff(12183,plain,
% 49.93/32.59 (m_memory_v_master(c_m, s3)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[9502, 12172])).
% 49.93/32.59 tff(12184,plain,
% 49.93/32.59 (node17(s3)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[9494, 12183])).
% 49.93/32.59 tff(12185,plain,
% 49.93/32.59 (~m_processor_v_master(c_p2, s3)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[10111, 12184])).
% 49.93/32.59 tff(12186,plain,
% 49.93/32.59 (m_processor_v_cmd(c_p2, s3, c_idle)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[9594, 12185])).
% 49.93/32.59 tff(12187,assumption,(~m_memory_v_cmd(c_m, s3, c_response)), introduced(assumption)).
% 49.93/32.59 tff(12188,plain,
% 49.93/32.59 (node29(c_m, s3)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[9510, 9505])).
% 49.93/32.59 tff(12189,plain,
% 49.93/32.59 (m_memory_v_busy(c_m, s3)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[9855, 12188])).
% 49.93/32.59 tff(12190,plain,
% 49.93/32.59 (m_memory_v_master(c_m, s3)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[9502, 12188])).
% 49.93/32.59 tff(12191,plain,
% 49.93/32.59 (((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | ((~m_memory_v_master(c_m, s3)) | m_memory_v_cmd(c_m, s3, c_idle) | (~m_memory_v_busy(c_m, s3)) | m_memory_v_cmd(c_m, s3, c_response))) <=> ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (~m_memory_v_master(c_m, s3)) | m_memory_v_cmd(c_m, s3, c_idle) | (~m_memory_v_busy(c_m, s3)) | m_memory_v_cmd(c_m, s3, c_response))),
% 49.93/32.59 inference(rewrite,[status(thm)],[])).
% 49.93/32.59 tff(12192,plain,
% 49.93/32.59 ((m_memory_v_cmd(c_m, s3, c_response) | m_memory_v_cmd(c_m, s3, c_idle) | (~m_memory_v_busy(c_m, s3)) | (~m_memory_v_master(c_m, s3))) <=> ((~m_memory_v_master(c_m, s3)) | m_memory_v_cmd(c_m, s3, c_idle) | (~m_memory_v_busy(c_m, s3)) | m_memory_v_cmd(c_m, s3, c_response))),
% 49.93/32.59 inference(rewrite,[status(thm)],[])).
% 49.93/32.59 tff(12193,plain,
% 49.93/32.59 (((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s3, c_response) | m_memory_v_cmd(c_m, s3, c_idle) | (~m_memory_v_busy(c_m, s3)) | (~m_memory_v_master(c_m, s3)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | ((~m_memory_v_master(c_m, s3)) | m_memory_v_cmd(c_m, s3, c_idle) | (~m_memory_v_busy(c_m, s3)) | m_memory_v_cmd(c_m, s3, c_response)))),
% 49.93/32.59 inference(monotonicity,[status(thm)],[12192])).
% 49.93/32.59 tff(12194,plain,
% 49.93/32.59 (((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s3, c_response) | m_memory_v_cmd(c_m, s3, c_idle) | (~m_memory_v_busy(c_m, s3)) | (~m_memory_v_master(c_m, s3)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (~m_memory_v_master(c_m, s3)) | m_memory_v_cmd(c_m, s3, c_idle) | (~m_memory_v_busy(c_m, s3)) | m_memory_v_cmd(c_m, s3, c_response))),
% 49.93/32.59 inference(transitivity,[status(thm)],[12193, 12191])).
% 49.93/32.59 tff(12195,plain,
% 49.93/32.59 ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s3, c_response) | m_memory_v_cmd(c_m, s3, c_idle) | (~m_memory_v_busy(c_m, s3)) | (~m_memory_v_master(c_m, s3)))),
% 49.93/32.59 inference(quant_inst,[status(thm)],[])).
% 49.93/32.59 tff(12196,plain,
% 49.93/32.59 ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (~m_memory_v_master(c_m, s3)) | m_memory_v_cmd(c_m, s3, c_idle) | (~m_memory_v_busy(c_m, s3)) | m_memory_v_cmd(c_m, s3, c_response)),
% 49.93/32.59 inference(modus_ponens,[status(thm)],[12195, 12194])).
% 49.93/32.59 tff(12197,plain,
% 49.93/32.59 ($false),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[12196, 2089, 9505, 12190, 12189, 12187])).
% 49.93/32.59 tff(12198,plain,(m_memory_v_cmd(c_m, s3, c_response) | m_memory_v_cmd(c_m, s3, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.59 tff(12199,plain,
% 49.93/32.59 (m_memory_v_cmd(c_m, s3, c_response)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[12198, 12171])).
% 49.93/32.59 tff(12200,assumption,(node11(s3)), introduced(assumption)).
% 49.93/32.59 tff(12201,plain,
% 49.93/32.59 (((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | (m_memory_v_cmd(c_m, s3, c_idle) | (~node11(s3)))) <=> ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | m_memory_v_cmd(c_m, s3, c_idle) | (~node11(s3)))),
% 49.93/32.59 inference(rewrite,[status(thm)],[])).
% 49.93/32.59 tff(12202,plain,
% 49.93/32.59 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | (m_memory_v_cmd(c_m, s3, c_idle) | (~node11(s3)))),
% 49.93/32.59 inference(quant_inst,[status(thm)],[])).
% 49.93/32.59 tff(12203,plain,
% 49.93/32.59 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | m_memory_v_cmd(c_m, s3, c_idle) | (~node11(s3))),
% 49.93/32.59 inference(modus_ponens,[status(thm)],[12202, 12201])).
% 49.93/32.59 tff(12204,plain,
% 49.93/32.59 ($false),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[12203, 2031, 9505, 12200])).
% 49.93/32.59 tff(12205,plain,((~node11(s3)) | m_memory_v_cmd(c_m, s3, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.59 tff(12206,plain,
% 49.93/32.59 (~node11(s3)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[12205, 12171])).
% 49.93/32.59 tff(12207,plain,
% 49.93/32.59 (((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | ((~node9(s3)) | m_memory_v_cmd(c_m, s3, c_idle))) <=> ((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | (~node9(s3)) | m_memory_v_cmd(c_m, s3, c_idle))),
% 49.93/32.59 inference(rewrite,[status(thm)],[])).
% 49.93/32.59 tff(12208,plain,
% 49.93/32.59 ((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | ((~node9(s3)) | m_memory_v_cmd(c_m, s3, c_idle))),
% 49.93/32.59 inference(quant_inst,[status(thm)],[])).
% 49.93/32.59 tff(12209,plain,
% 49.93/32.59 ((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | (~node9(s3)) | m_memory_v_cmd(c_m, s3, c_idle)),
% 49.93/32.59 inference(modus_ponens,[status(thm)],[12208, 12207])).
% 49.93/32.59 tff(12210,plain,
% 49.93/32.59 ($false),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[12209, 2000, 9505, 10780])).
% 49.93/32.59 tff(12211,plain,((~node9(s3)) | m_memory_v_cmd(c_m, s3, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.59 tff(12212,plain,
% 49.93/32.59 (~node9(s3)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[12211, 12171])).
% 49.93/32.59 tff(12213,plain,
% 49.93/32.59 (~m_processor_v_master(c_p0, s3)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[9486, 12184])).
% 49.93/32.59 tff(12214,plain,
% 49.93/32.59 (m_processor_v_cmd(c_p0, s3, c_idle)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[10144, 12213])).
% 49.93/32.59 tff(12215,assumption,(node13(s3)), introduced(assumption)).
% 49.93/32.59 tff(12216,plain,
% 49.93/32.59 (((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | (m_memory_v_cmd(c_m, s3, c_idle) | (~node13(s3)))) <=> ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | m_memory_v_cmd(c_m, s3, c_idle) | (~node13(s3)))),
% 49.93/32.59 inference(rewrite,[status(thm)],[])).
% 49.93/32.59 tff(12217,plain,
% 49.93/32.59 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | (m_memory_v_cmd(c_m, s3, c_idle) | (~node13(s3)))),
% 49.93/32.59 inference(quant_inst,[status(thm)],[])).
% 49.93/32.59 tff(12218,plain,
% 49.93/32.59 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | m_memory_v_cmd(c_m, s3, c_idle) | (~node13(s3))),
% 49.93/32.59 inference(modus_ponens,[status(thm)],[12217, 12216])).
% 49.93/32.59 tff(12219,plain,
% 49.93/32.59 ($false),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[12218, 1986, 9505, 12215])).
% 49.93/32.59 tff(12220,plain,((~node13(s3)) | m_memory_v_cmd(c_m, s3, c_idle)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.59 tff(12221,plain,
% 49.93/32.59 (~node13(s3)),
% 49.93/32.59 inference(unit_resolution,[status(thm)],[12220, 12171])).
% 49.93/32.59 tff(12222,assumption,(~node13(s3)), introduced(assumption)).
% 49.93/32.59 tff(12223,assumption,(~node14(s3)), introduced(assumption)).
% 49.93/32.59 tff(12224,plain,
% 49.93/32.59 (((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | ((~m_processor_v_cmd(c_p0, s3, c_idle)) | node9(s3) | node11(s3) | node13(s3) | node14(s3) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | node9(s3) | node11(s3) | node13(s3) | node14(s3) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)))),
% 49.93/32.59 inference(rewrite,[status(thm)],[])).
% 49.93/32.59 tff(12225,plain,
% 49.93/32.59 ((node9(s3) | node11(s3) | node13(s3) | node14(s3) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle))) <=> ((~m_processor_v_cmd(c_p0, s3, c_idle)) | node9(s3) | node11(s3) | node13(s3) | node14(s3) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)))),
% 49.93/32.59 inference(rewrite,[status(thm)],[])).
% 49.93/32.59 tff(12226,plain,
% 49.93/32.59 (((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s3) | node11(s3) | node13(s3) | node14(s3) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | ((~m_processor_v_cmd(c_p0, s3, c_idle)) | node9(s3) | node11(s3) | node13(s3) | node14(s3) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle))))),
% 49.93/32.59 inference(monotonicity,[status(thm)],[12225])).
% 49.93/32.59 tff(12227,plain,
% 49.93/32.59 (((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s3) | node11(s3) | node13(s3) | node14(s3) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | node9(s3) | node11(s3) | node13(s3) | node14(s3) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)))),
% 49.93/32.59 inference(transitivity,[status(thm)],[12226, 12224])).
% 49.93/32.59 tff(12228,plain,
% 49.93/32.59 ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s3) | node11(s3) | node13(s3) | node14(s3) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)))),
% 49.93/32.59 inference(quant_inst,[status(thm)],[])).
% 49.93/32.59 tff(12229,plain,
% 49.93/32.59 ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | node9(s3) | node11(s3) | node13(s3) | node14(s3) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle))),
% 49.93/32.60 inference(modus_ponens,[status(thm)],[12228, 12227])).
% 49.93/32.60 tff(12230,plain,
% 49.93/32.60 ($false),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12229, 2014, 9596, 10792, 10791, 10789, 12223, 11506, 12222])).
% 49.93/32.60 tff(12231,plain,(node11(s3) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p2, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | node9(s3) | node14(s3) | node13(s3)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.60 tff(12232,plain,
% 49.93/32.60 (node14(s3)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12231, 12186, 12095, 12221, 12214, 12212, 12206])).
% 49.93/32.60 tff(12233,assumption,(m_memory_v_cmd(c_m, s3, c_response)), introduced(assumption)).
% 49.93/32.60 tff(12234,assumption,(~m_main_v_CMD(s3, c_response)), introduced(assumption)).
% 49.93/32.60 tff(12235,assumption,(node14(s3)), introduced(assumption)).
% 49.93/32.60 tff(12236,plain,
% 49.93/32.60 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s3, c_response) | (~m_memory_v_cmd(c_m, s3, c_response)) | (~node14(s3)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | m_main_v_CMD(s3, c_response) | (~m_memory_v_cmd(c_m, s3, c_response)) | (~node14(s3)))),
% 49.93/32.60 inference(rewrite,[status(thm)],[])).
% 49.93/32.60 tff(12237,plain,
% 49.93/32.60 ((m_main_v_CMD(s3, c_response) | (~node14(s3)) | (~m_memory_v_cmd(c_m, s3, c_response))) <=> (m_main_v_CMD(s3, c_response) | (~m_memory_v_cmd(c_m, s3, c_response)) | (~node14(s3)))),
% 49.93/32.60 inference(rewrite,[status(thm)],[])).
% 49.93/32.60 tff(12238,plain,
% 49.93/32.60 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s3, c_response) | (~node14(s3)) | (~m_memory_v_cmd(c_m, s3, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s3, c_response) | (~m_memory_v_cmd(c_m, s3, c_response)) | (~node14(s3))))),
% 49.93/32.60 inference(monotonicity,[status(thm)],[12237])).
% 49.93/32.60 tff(12239,plain,
% 49.93/32.60 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s3, c_response) | (~node14(s3)) | (~m_memory_v_cmd(c_m, s3, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | m_main_v_CMD(s3, c_response) | (~m_memory_v_cmd(c_m, s3, c_response)) | (~node14(s3)))),
% 49.93/32.60 inference(transitivity,[status(thm)],[12238, 12236])).
% 49.93/32.60 tff(12240,plain,
% 49.93/32.60 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s3, c_response) | (~node14(s3)) | (~m_memory_v_cmd(c_m, s3, c_response)))),
% 49.93/32.60 inference(quant_inst,[status(thm)],[])).
% 49.93/32.60 tff(12241,plain,
% 49.93/32.60 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | m_main_v_CMD(s3, c_response) | (~m_memory_v_cmd(c_m, s3, c_response)) | (~node14(s3))),
% 49.93/32.60 inference(modus_ponens,[status(thm)],[12240, 12239])).
% 49.93/32.60 tff(12242,plain,
% 49.93/32.60 ($false),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12241, 8342, 12235, 12234, 12233])).
% 49.93/32.60 tff(12243,plain,((~node14(s3)) | m_main_v_CMD(s3, c_response) | (~m_memory_v_cmd(c_m, s3, c_response))), inference(lemma,lemma(discharge,[]))).
% 49.93/32.60 tff(12244,plain,
% 49.93/32.60 (m_main_v_CMD(s3, c_response)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12243, 12232, 12199])).
% 49.93/32.60 tff(12245,plain,
% 49.93/32.60 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_response)))),
% 49.93/32.60 inference(rewrite,[status(thm)],[])).
% 49.93/32.60 tff(12246,plain,
% 49.93/32.60 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_response)))),
% 49.93/32.60 inference(quant_inst,[status(thm)],[])).
% 49.93/32.60 tff(12247,plain,
% 49.93/32.60 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_response))),
% 49.93/32.60 inference(modus_ponens,[status(thm)],[12246, 12245])).
% 49.93/32.60 tff(12248,plain,
% 49.93/32.60 (~m_main_v_CMD(s3, c_read_h_shared)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12247, 8266, 12244])).
% 49.93/32.60 tff(12249,assumption,(~m_memory_v_REPLY_h_STALL(c_m, s3)), introduced(assumption)).
% 49.93/32.60 tff(12250,plain,
% 49.93/32.60 (node17(s3)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[9494, 12190])).
% 49.93/32.60 tff(12251,plain,
% 49.93/32.60 (~m_processor_v_master(c_p0, s3)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[9486, 12250])).
% 49.93/32.60 tff(12252,plain,
% 49.93/32.60 (m_processor_v_cmd(c_p0, s3, c_idle)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[10144, 12251])).
% 49.93/32.60 tff(12253,plain,
% 49.93/32.60 (~m_processor_v_master(c_p1, s3)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[10022, 12250])).
% 49.93/32.60 tff(12254,plain,
% 49.93/32.60 (m_processor_v_cmd(c_p1, s3, c_idle)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[9478, 12253])).
% 49.93/32.60 tff(12255,plain,
% 49.93/32.60 (((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~node23(c_m, s3, s4)) | (~m_memory_v_master(c_m, s3)) | (~m_memory_v_busy(c_m, s4)) | (~m_memory_v_CMD(c_m, s3, c_response)) | m_memory_v_abort(c_m, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | (~node23(c_m, s3, s4)) | (~m_memory_v_master(c_m, s3)) | (~m_memory_v_busy(c_m, s4)) | (~m_memory_v_CMD(c_m, s3, c_response)) | m_memory_v_abort(c_m, s3))),
% 49.93/32.60 inference(rewrite,[status(thm)],[])).
% 49.93/32.60 tff(12256,plain,
% 49.93/32.60 (((~m_memory_v_busy(c_m, s4)) | (~m_memory_v_master(c_m, s3)) | (~node23(c_m, s3, s4)) | m_memory_v_abort(c_m, s3) | (~m_memory_v_CMD(c_m, s3, c_response))) <=> ((~node23(c_m, s3, s4)) | (~m_memory_v_master(c_m, s3)) | (~m_memory_v_busy(c_m, s4)) | (~m_memory_v_CMD(c_m, s3, c_response)) | m_memory_v_abort(c_m, s3))),
% 49.93/32.60 inference(rewrite,[status(thm)],[])).
% 49.93/32.60 tff(12257,plain,
% 49.93/32.60 (((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~m_memory_v_busy(c_m, s4)) | (~m_memory_v_master(c_m, s3)) | (~node23(c_m, s3, s4)) | m_memory_v_abort(c_m, s3) | (~m_memory_v_CMD(c_m, s3, c_response)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~node23(c_m, s3, s4)) | (~m_memory_v_master(c_m, s3)) | (~m_memory_v_busy(c_m, s4)) | (~m_memory_v_CMD(c_m, s3, c_response)) | m_memory_v_abort(c_m, s3)))),
% 49.93/32.60 inference(monotonicity,[status(thm)],[12256])).
% 49.93/32.60 tff(12258,plain,
% 49.93/32.60 (((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~m_memory_v_busy(c_m, s4)) | (~m_memory_v_master(c_m, s3)) | (~node23(c_m, s3, s4)) | m_memory_v_abort(c_m, s3) | (~m_memory_v_CMD(c_m, s3, c_response)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | (~node23(c_m, s3, s4)) | (~m_memory_v_master(c_m, s3)) | (~m_memory_v_busy(c_m, s4)) | (~m_memory_v_CMD(c_m, s3, c_response)) | m_memory_v_abort(c_m, s3))),
% 49.93/32.60 inference(transitivity,[status(thm)],[12257, 12255])).
% 49.93/32.60 tff(12259,plain,
% 49.93/32.60 ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~m_memory_v_busy(c_m, s4)) | (~m_memory_v_master(c_m, s3)) | (~node23(c_m, s3, s4)) | m_memory_v_abort(c_m, s3) | (~m_memory_v_CMD(c_m, s3, c_response)))),
% 49.93/32.60 inference(quant_inst,[status(thm)],[])).
% 49.93/32.60 tff(12260,plain,
% 49.93/32.60 ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | (~node23(c_m, s3, s4)) | (~m_memory_v_master(c_m, s3)) | (~m_memory_v_busy(c_m, s4)) | (~m_memory_v_CMD(c_m, s3, c_response)) | m_memory_v_abort(c_m, s3)),
% 49.93/32.60 inference(modus_ponens,[status(thm)],[12259, 12258])).
% 49.93/32.60 tff(12261,plain,
% 49.93/32.60 ((~m_memory_v_master(c_m, s3)) | (~m_memory_v_busy(c_m, s4)) | (~m_memory_v_CMD(c_m, s3, c_response)) | m_memory_v_abort(c_m, s3)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12260, 10436, 9871])).
% 49.93/32.60 tff(12262,plain,
% 49.93/32.60 (~m_memory_v_CMD(c_m, s3, c_response)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12261, 12190, 9966, 7332])).
% 49.93/32.60 tff(12263,plain,
% 49.93/32.60 (m_memory_v_cmd(c_m, s3, c_response)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12198, 9505])).
% 49.93/32.60 tff(12264,plain,
% 49.93/32.60 (~node13(s3)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12220, 9505])).
% 49.93/32.60 tff(12265,plain,
% 49.93/32.60 (~node9(s3)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12211, 9505])).
% 49.93/32.60 tff(12266,plain,
% 49.93/32.60 (~node11(s3)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12205, 9505])).
% 49.93/32.60 tff(12267,plain,
% 49.93/32.60 (~m_processor_v_master(c_p2, s3)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[10111, 12250])).
% 49.93/32.60 tff(12268,plain,
% 49.93/32.60 (m_processor_v_cmd(c_p2, s3, c_idle)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[9594, 12267])).
% 49.93/32.60 tff(12269,plain,
% 49.93/32.60 ((~m_processor_v_cmd(c_p0, s3, c_idle)) | node9(s3) | node11(s3) | node13(s3) | node14(s3) | (~m_processor_v_cmd(c_p2, s3, c_idle))),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12229, 2014, 9596])).
% 49.93/32.60 tff(12270,plain,
% 49.93/32.60 (node14(s3)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12269, 12268, 10791, 12266, 12265, 12264])).
% 49.93/32.60 tff(12271,plain,
% 49.93/32.60 (m_main_v_CMD(s3, c_response)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12243, 12270, 12263])).
% 49.93/32.60 tff(12272,plain,
% 49.93/32.60 (((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s3)) | (~m_main_v_CMD(s3, c_response)) | m_memory_v_CMD(c_m, s3, c_response))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s3)) | (~m_main_v_CMD(s3, c_response)) | m_memory_v_CMD(c_m, s3, c_response))),
% 49.93/32.60 inference(rewrite,[status(thm)],[])).
% 49.93/32.60 tff(12273,plain,
% 49.93/32.60 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s3)) | (~m_main_v_CMD(s3, c_response)) | m_memory_v_CMD(c_m, s3, c_response))),
% 49.93/32.60 inference(quant_inst,[status(thm)],[])).
% 49.93/32.60 tff(12274,plain,
% 49.93/32.60 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s3)) | (~m_main_v_CMD(s3, c_response)) | m_memory_v_CMD(c_m, s3, c_response)),
% 49.93/32.60 inference(modus_ponens,[status(thm)],[12273, 12272])).
% 49.93/32.60 tff(12275,plain,
% 49.93/32.60 ($false),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12274, 4207, 10083, 12271, 12262])).
% 49.93/32.60 tff(12276,plain,(m_memory_v_cmd(c_m, s3, c_idle) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | m_memory_v_abort(c_m, s3) | (~m_memory_v_busy(c_m, s4))), inference(lemma,lemma(discharge,[]))).
% 49.93/32.60 tff(12277,plain,
% 49.93/32.60 (m_memory_v_abort(c_m, s3)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12276, 12254, 7332, 9505, 12252])).
% 49.93/32.60 tff(12278,assumption,(m_memory_v_abort(c_m, s3)), introduced(assumption)).
% 49.93/32.60 tff(12279,plain,
% 49.93/32.60 (~m_memory_v_CMD(c_m, s3, c_read_h_shared)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[11969, 4693, 9605, 10083])).
% 49.93/32.60 tff(12280,assumption,(~m_memory_v_CMD(c_m, s3, c_read_h_owned)), introduced(assumption)).
% 49.93/32.60 tff(12281,plain,
% 49.93/32.60 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | ((~node28(c_m, s3)) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | m_memory_v_CMD(c_m, s3, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | (~node28(c_m, s3)) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | m_memory_v_CMD(c_m, s3, c_read_h_owned))),
% 49.93/32.60 inference(rewrite,[status(thm)],[])).
% 49.93/32.60 tff(12282,plain,
% 49.93/32.60 ((m_memory_v_CMD(c_m, s3, c_read_h_owned) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | (~node28(c_m, s3))) <=> ((~node28(c_m, s3)) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | m_memory_v_CMD(c_m, s3, c_read_h_owned))),
% 49.93/32.60 inference(rewrite,[status(thm)],[])).
% 49.93/32.60 tff(12283,plain,
% 49.93/32.60 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | (m_memory_v_CMD(c_m, s3, c_read_h_owned) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | (~node28(c_m, s3)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | ((~node28(c_m, s3)) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | m_memory_v_CMD(c_m, s3, c_read_h_owned)))),
% 49.93/32.60 inference(monotonicity,[status(thm)],[12282])).
% 49.93/32.60 tff(12284,plain,
% 49.93/32.60 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | (m_memory_v_CMD(c_m, s3, c_read_h_owned) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | (~node28(c_m, s3)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | (~node28(c_m, s3)) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | m_memory_v_CMD(c_m, s3, c_read_h_owned))),
% 49.93/32.60 inference(transitivity,[status(thm)],[12283, 12281])).
% 49.93/32.60 tff(12285,plain,
% 49.93/32.60 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | (m_memory_v_CMD(c_m, s3, c_read_h_owned) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | (~node28(c_m, s3)))),
% 49.93/32.60 inference(quant_inst,[status(thm)],[])).
% 49.93/32.60 tff(12286,plain,
% 49.93/32.60 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | (~node28(c_m, s3)) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | m_memory_v_CMD(c_m, s3, c_read_h_owned)),
% 49.93/32.60 inference(modus_ponens,[status(thm)],[12285, 12284])).
% 49.93/32.60 tff(12287,plain,
% 49.93/32.60 ((~node28(c_m, s3)) | m_memory_v_CMD(c_m, s3, c_read_h_shared)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12286, 4717, 12280])).
% 49.93/32.60 tff(12288,plain,
% 49.93/32.60 (~node28(c_m, s3)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12287, 12279])).
% 49.93/32.60 tff(12289,plain,
% 49.93/32.60 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | ((~node27(c_m, s3)) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | m_memory_v_CMD(c_m, s3, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (~node27(c_m, s3)) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | m_memory_v_CMD(c_m, s3, c_read_h_owned))),
% 49.93/32.60 inference(rewrite,[status(thm)],[])).
% 49.93/32.60 tff(12290,plain,
% 49.93/32.60 ((m_memory_v_CMD(c_m, s3, c_read_h_owned) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | (~node27(c_m, s3))) <=> ((~node27(c_m, s3)) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | m_memory_v_CMD(c_m, s3, c_read_h_owned))),
% 49.93/32.60 inference(rewrite,[status(thm)],[])).
% 49.93/32.60 tff(12291,plain,
% 49.93/32.60 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (m_memory_v_CMD(c_m, s3, c_read_h_owned) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | (~node27(c_m, s3)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | ((~node27(c_m, s3)) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | m_memory_v_CMD(c_m, s3, c_read_h_owned)))),
% 49.93/32.60 inference(monotonicity,[status(thm)],[12290])).
% 49.93/32.60 tff(12292,plain,
% 49.93/32.60 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (m_memory_v_CMD(c_m, s3, c_read_h_owned) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | (~node27(c_m, s3)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (~node27(c_m, s3)) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | m_memory_v_CMD(c_m, s3, c_read_h_owned))),
% 49.93/32.60 inference(transitivity,[status(thm)],[12291, 12289])).
% 49.93/32.60 tff(12293,plain,
% 49.93/32.60 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (m_memory_v_CMD(c_m, s3, c_read_h_owned) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | (~node27(c_m, s3)))),
% 49.93/32.60 inference(quant_inst,[status(thm)],[])).
% 49.93/32.60 tff(12294,plain,
% 49.93/32.60 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (~node27(c_m, s3)) | m_memory_v_CMD(c_m, s3, c_read_h_shared) | m_memory_v_CMD(c_m, s3, c_read_h_owned)),
% 49.93/32.60 inference(modus_ponens,[status(thm)],[12293, 12292])).
% 49.93/32.60 tff(12295,plain,
% 49.93/32.60 ((~node27(c_m, s3)) | m_memory_v_CMD(c_m, s3, c_read_h_shared)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12294, 4738, 12280])).
% 49.93/32.60 tff(12296,plain,
% 49.93/32.60 (~node27(c_m, s3)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12295, 12279])).
% 49.93/32.60 tff(12297,assumption,(~node28(c_m, s3)), introduced(assumption)).
% 49.93/32.60 tff(12298,assumption,(~node27(c_m, s3)), introduced(assumption)).
% 49.93/32.60 tff(12299,plain,
% 49.93/32.60 (((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | ((~m_memory_v_abort(c_m, s3)) | m_memory_v_REPLY_h_STALL(c_m, s3) | node27(c_m, s3) | node28(c_m, s3))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | (~m_memory_v_abort(c_m, s3)) | m_memory_v_REPLY_h_STALL(c_m, s3) | node27(c_m, s3) | node28(c_m, s3))),
% 49.93/32.60 inference(rewrite,[status(thm)],[])).
% 49.93/32.60 tff(12300,plain,
% 49.93/32.60 ((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | ((~m_memory_v_abort(c_m, s3)) | m_memory_v_REPLY_h_STALL(c_m, s3) | node27(c_m, s3) | node28(c_m, s3))),
% 49.93/32.60 inference(quant_inst,[status(thm)],[])).
% 49.93/32.60 tff(12301,plain,
% 49.93/32.60 ((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | (~m_memory_v_abort(c_m, s3)) | m_memory_v_REPLY_h_STALL(c_m, s3) | node27(c_m, s3) | node28(c_m, s3)),
% 49.93/32.60 inference(modus_ponens,[status(thm)],[12300, 12299])).
% 49.93/32.60 tff(12302,plain,
% 49.93/32.60 ($false),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12301, 4643, 12298, 12249, 12297, 12278])).
% 49.93/32.60 tff(12303,plain,((~m_memory_v_abort(c_m, s3)) | node27(c_m, s3) | m_memory_v_REPLY_h_STALL(c_m, s3) | node28(c_m, s3)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.60 tff(12304,plain,
% 49.93/32.60 ($false),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12303, 12296, 12288, 12249, 12278])).
% 49.93/32.60 tff(12305,plain,(m_memory_v_CMD(c_m, s3, c_read_h_owned) | m_memory_v_REPLY_h_STALL(c_m, s3) | (~m_memory_v_abort(c_m, s3)) | m_main_v_CMD(s3, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.60 tff(12306,plain,
% 49.93/32.60 (m_memory_v_CMD(c_m, s3, c_read_h_owned)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12305, 12277, 12249, 9605])).
% 49.93/32.60 tff(12307,plain,
% 49.93/32.60 (node14(s3)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12231, 12254, 12252, 12264, 10792, 12265, 12266])).
% 49.93/32.60 tff(12308,plain,
% 49.93/32.60 (m_main_v_CMD(s3, c_response)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12243, 12307, 12263])).
% 49.93/32.60 tff(12309,assumption,(m_main_v_CMD(s3, c_response)), introduced(assumption)).
% 49.93/32.60 tff(12310,plain,
% 49.93/32.60 (^[X: $i] : refl(((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response))) <=> ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response))))),
% 49.93/32.60 inference(bind,[status(th)],[])).
% 49.93/32.60 tff(12311,plain,
% 49.93/32.60 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))),
% 49.93/32.60 inference(quant_intro,[status(thm)],[12310])).
% 49.93/32.60 tff(12312,plain,
% 49.93/32.60 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))),
% 49.93/32.60 inference(rewrite,[status(thm)],[])).
% 49.93/32.60 tff(12313,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_22')).
% 49.93/32.60 tff(12314,plain,
% 49.93/32.60 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))),
% 49.93/32.60 inference(modus_ponens,[status(thm)],[12313, 12312])).
% 49.93/32.60 tff(12315,plain,(
% 49.93/32.60 ![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))),
% 49.93/32.60 inference(skolemize,[status(sab)],[12314])).
% 49.93/32.60 tff(12316,plain,
% 49.93/32.60 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))),
% 49.93/32.60 inference(modus_ponens,[status(thm)],[12315, 12311])).
% 49.93/32.60 tff(12317,plain,
% 49.93/32.60 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_response)))),
% 49.93/32.60 inference(rewrite,[status(thm)],[])).
% 49.93/32.60 tff(12318,plain,
% 49.93/32.60 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_response)))),
% 49.93/32.60 inference(quant_inst,[status(thm)],[])).
% 49.93/32.60 tff(12319,plain,
% 49.93/32.60 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_response))),
% 49.93/32.60 inference(modus_ponens,[status(thm)],[12318, 12317])).
% 49.93/32.60 tff(12320,plain,
% 49.93/32.60 ($false),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12319, 12316, 9644, 12309])).
% 49.93/32.60 tff(12321,plain,((~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_response))), inference(lemma,lemma(discharge,[]))).
% 49.93/32.60 tff(12322,plain,
% 49.93/32.60 (~m_main_v_CMD(s3, c_read_h_owned)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12321, 12308])).
% 49.93/32.60 tff(12323,plain,
% 49.93/32.60 ($false),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[11985, 4693, 12322, 10083, 12306])).
% 49.93/32.60 tff(12324,plain,(m_memory_v_cmd(c_m, s3, c_idle) | m_memory_v_REPLY_h_STALL(c_m, s3) | m_main_v_CMD(s3, c_read_h_shared) | (~m_memory_v_busy(c_m, s4)) | (~m_processor_v_cmd(c_p2, s3, c_idle))), inference(lemma,lemma(discharge,[]))).
% 49.93/32.60 tff(12325,plain,
% 49.93/32.60 (~m_memory_v_busy(c_m, s4)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12324, 12248, 12171, 12186, 12182])).
% 49.93/32.60 tff(12326,plain,
% 49.93/32.60 (~node18(c_m, s3, s4)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[9866, 12325, 12173])).
% 49.93/32.60 tff(12327,plain,
% 49.93/32.60 (~node22(c_m, s3, s4)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[9885, 12325, 12173])).
% 49.93/32.60 tff(12328,plain,
% 49.93/32.60 (m_memory_v_abort(c_m, s3)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[10286, 12327, 10217, 9969, 12325, 2622, 5182, 9972, 9971, 9970, 1752])).
% 49.93/32.60 tff(12329,plain,
% 49.93/32.60 ($false),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[9878, 12328, 12326])).
% 49.93/32.60 tff(12330,plain,((~m_processor_v_waiting(c_p1, s3)) | node25(c_m, s2) | m_memory_v_busy(c_m, s2) | m_processor_v_master(c_p0, s2) | m_memory_v_master(c_m, s2) | node20(c_m, s2) | node27(c_m, s2) | m_memory_v_REPLY_h_STALL(c_m, s2) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_waiting(c_p0, s4) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_owned)) | node63(c_p1, s3) | m_processor_v_waiting(c_p1, s4) | m_processor_v_state(c_p1, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.60 tff(12331,plain,
% 49.93/32.60 (node27(c_m, s2)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12330, 12035, 2595, 6713, 9374, 6709, 12032, 12031, 12029, 12027, 11796, 11795, 11793, 1752, 11730])).
% 49.93/32.60 tff(12332,plain,
% 49.93/32.60 ($false),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[10294, 12331, 11727])).
% 49.93/32.60 tff(12333,plain,(m_processor_v_abort(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s4, c_invalid) | m_processor_v_waiting(c_p1, s4) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_memory_v_busy(c_m, s4) | (~node56(c_p0, s4)) | m_processor_v_state(c_p1, s4, c_shared)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.60 tff(12334,plain,
% 49.93/32.60 (m_processor_v_abort(c_p1, s3)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12333, 9814, 6816, 6817, 9813, 7454, 7452, 6821, 6819])).
% 49.93/32.60 tff(12335,plain,
% 49.93/32.60 (node46(c_p1, s3, s4)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12063, 12334])).
% 49.93/32.60 tff(12336,plain,
% 49.93/32.60 (~m_processor_v_waiting(c_p1, s3)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12055, 12335, 6817])).
% 49.93/32.60 tff(12337,plain,
% 49.93/32.60 (node32(c_p1, s3, s4)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[6640, 12334])).
% 49.93/32.60 tff(12338,plain,
% 49.93/32.60 (~m_processor_v_state(c_p1, s3, c_invalid)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[6812, 12337, 9814])).
% 49.93/32.60 tff(12339,plain,
% 49.93/32.60 (~m_processor_v_snoop(c_p1, s3, c_shared)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12038, 4096, 9813])).
% 49.93/32.60 tff(12340,plain,
% 49.93/32.60 (~m_processor_v_waiting(c_p0, s4)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[9373, 540, 6821])).
% 49.93/32.60 tff(12341,plain,
% 49.93/32.60 (m_processor_v_state(c_p0, s3, c_owned)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[9842, 12340, 7454])).
% 49.93/32.60 tff(12342,plain,
% 49.93/32.60 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[2665, 137, 12341])).
% 49.93/32.60 tff(12343,plain,
% 49.93/32.60 (~m_processor_v_state(c_p1, s2, c_invalid)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[5372, 5133, 2595])).
% 49.93/32.60 tff(12344,plain,
% 49.93/32.60 (m_processor_v_state(c_p0, s2, c_invalid)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[5074, 12343])).
% 49.93/32.60 tff(12345,plain,
% 49.93/32.60 (~node32(c_p0, s2, s3)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[5496, 12344, 2722])).
% 49.93/32.60 tff(12346,plain,
% 49.93/32.60 (~m_processor_v_abort(c_p0, s2)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[2704, 12345])).
% 49.93/32.60 tff(12347,plain,
% 49.93/32.60 (node60(c_p0, s2)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[10475, 12346])).
% 49.93/32.60 tff(12348,plain,
% 49.93/32.60 (~m_processor_v_REPLY_h_STALL(c_p0, s2)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[10468, 12347])).
% 49.93/32.60 tff(12349,plain,
% 49.93/32.60 (~m_main_v_REPLY_h_STALL(s2)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[10461, 12348])).
% 49.93/32.60 tff(12350,plain,
% 49.93/32.60 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | (m_main_v_REPLY_h_STALL(s2) | (~m_processor_v_REPLY_h_STALL(c_p1, s2)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | m_main_v_REPLY_h_STALL(s2) | (~m_processor_v_REPLY_h_STALL(c_p1, s2)))),
% 49.93/32.60 inference(rewrite,[status(thm)],[])).
% 49.93/32.60 tff(12351,plain,
% 49.93/32.60 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | (m_main_v_REPLY_h_STALL(s2) | (~m_processor_v_REPLY_h_STALL(c_p1, s2)))),
% 49.93/32.60 inference(quant_inst,[status(thm)],[])).
% 49.93/32.60 tff(12352,plain,
% 49.93/32.60 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | m_main_v_REPLY_h_STALL(s2) | (~m_processor_v_REPLY_h_STALL(c_p1, s2))),
% 49.93/32.60 inference(modus_ponens,[status(thm)],[12351, 12350])).
% 49.93/32.60 tff(12353,plain,
% 49.93/32.60 ($false),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12352, 1399, 9311, 9296])).
% 49.93/32.60 tff(12354,plain,((~m_processor_v_REPLY_h_STALL(c_p1, s2)) | m_main_v_REPLY_h_STALL(s2)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.60 tff(12355,plain,
% 49.93/32.60 (~m_processor_v_REPLY_h_STALL(c_p1, s2)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[12354, 12349])).
% 49.93/32.60 tff(12356,plain,
% 49.93/32.60 (m_processor_v_master(c_p0, s2)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[9671, 12344, 56])).
% 49.93/32.60 tff(12357,plain,
% 49.93/32.60 (m_main_v_CMD(s2, c_read_h_shared)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[5621, 12344, 5133, 12356])).
% 49.93/32.60 tff(12358,plain,
% 49.93/32.60 (m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 49.93/32.60 inference(unit_resolution,[status(thm)],[5526, 12357])).
% 49.93/32.60 tff(12359,assumption,(node59(c_p0, s2)), introduced(assumption)).
% 49.93/32.60 tff(12360,assumption,(m_processor_v_CMD(c_p0, s2, c_read_h_shared)), introduced(assumption)).
% 49.93/32.60 tff(12361,plain,
% 49.93/32.60 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~node59(c_p0, s2)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~node59(c_p0, s2)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)))),
% 49.93/32.60 inference(rewrite,[status(thm)],[])).
% 49.93/32.60 tff(12362,plain,
% 49.93/32.60 (((~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~node59(c_p0, s2))) <=> ((~node59(c_p0, s2)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)))),
% 49.93/32.60 inference(rewrite,[status(thm)],[])).
% 49.93/32.60 tff(12363,plain,
% 49.93/32.60 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~node59(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~node59(c_p0, s2)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared))))),
% 49.93/32.61 inference(monotonicity,[status(thm)],[12362])).
% 49.93/32.61 tff(12364,plain,
% 49.93/32.61 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~node59(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~node59(c_p0, s2)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)))),
% 49.93/32.61 inference(transitivity,[status(thm)],[12363, 12361])).
% 49.93/32.61 tff(12365,plain,
% 49.93/32.61 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~node59(c_p0, s2)))),
% 49.93/32.61 inference(quant_inst,[status(thm)],[])).
% 49.93/32.61 tff(12366,plain,
% 49.93/32.61 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~node59(c_p0, s2)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared))),
% 49.93/32.61 inference(modus_ponens,[status(thm)],[12365, 12364])).
% 49.93/32.61 tff(12367,plain,
% 49.93/32.61 ($false),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[12366, 3834, 12360, 12359])).
% 49.93/32.61 tff(12368,plain,((~node59(c_p0, s2)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 49.93/32.61 tff(12369,plain,
% 49.93/32.61 (~node59(c_p0, s2)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[12368, 12358])).
% 49.93/32.61 tff(12370,assumption,(~node59(c_p0, s2)), introduced(assumption)).
% 49.93/32.61 tff(12371,plain,
% 49.93/32.61 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p0, s2)) | (~node60(c_p0, s2)) | node59(c_p0, s2))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2)) | (~node60(c_p0, s2)) | node59(c_p0, s2))),
% 49.93/32.61 inference(rewrite,[status(thm)],[])).
% 49.93/32.61 tff(12372,plain,
% 49.93/32.61 ((node59(c_p0, s2) | (~node60(c_p0, s2)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2))) <=> ((~m_processor_v_REPLY_h_WAITING(c_p0, s2)) | (~node60(c_p0, s2)) | node59(c_p0, s2))),
% 49.93/32.61 inference(rewrite,[status(thm)],[])).
% 49.93/32.61 tff(12373,plain,
% 49.93/32.61 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s2) | (~node60(c_p0, s2)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p0, s2)) | (~node60(c_p0, s2)) | node59(c_p0, s2)))),
% 49.93/32.61 inference(monotonicity,[status(thm)],[12372])).
% 49.93/32.61 tff(12374,plain,
% 49.93/32.61 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s2) | (~node60(c_p0, s2)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2)) | (~node60(c_p0, s2)) | node59(c_p0, s2))),
% 49.93/32.61 inference(transitivity,[status(thm)],[12373, 12371])).
% 49.93/32.61 tff(12375,plain,
% 49.93/32.61 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s2) | (~node60(c_p0, s2)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2)))),
% 49.93/32.61 inference(quant_inst,[status(thm)],[])).
% 49.93/32.61 tff(12376,plain,
% 49.93/32.61 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2)) | (~node60(c_p0, s2)) | node59(c_p0, s2)),
% 49.93/32.61 inference(modus_ponens,[status(thm)],[12375, 12374])).
% 49.93/32.61 tff(12377,plain,
% 49.93/32.61 ($false),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[12376, 724, 10463, 9342, 12370])).
% 49.93/32.61 tff(12378,plain,(node59(c_p0, s2) | (~node60(c_p0, s2)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2))), inference(lemma,lemma(discharge,[]))).
% 49.93/32.61 tff(12379,plain,
% 49.93/32.61 (~m_processor_v_REPLY_h_WAITING(c_p0, s2)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[12378, 12369, 12347])).
% 49.93/32.61 tff(12380,plain,
% 49.93/32.61 (((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | ((~m_main_v_REPLY_h_WAITING(s2)) | m_processor_v_REPLY_h_WAITING(c_p0, s2))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | (~m_main_v_REPLY_h_WAITING(s2)) | m_processor_v_REPLY_h_WAITING(c_p0, s2))),
% 49.93/32.61 inference(rewrite,[status(thm)],[])).
% 49.93/32.61 tff(12381,plain,
% 49.93/32.61 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | ((~m_main_v_REPLY_h_WAITING(s2)) | m_processor_v_REPLY_h_WAITING(c_p0, s2))),
% 49.93/32.61 inference(quant_inst,[status(thm)],[])).
% 49.93/32.61 tff(12382,plain,
% 49.93/32.61 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | (~m_main_v_REPLY_h_WAITING(s2)) | m_processor_v_REPLY_h_WAITING(c_p0, s2)),
% 49.93/32.61 inference(modus_ponens,[status(thm)],[12381, 12380])).
% 49.93/32.61 tff(12383,plain,
% 49.93/32.61 ($false),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[12382, 7774, 9351, 9335])).
% 49.93/32.61 tff(12384,plain,((~m_main_v_REPLY_h_WAITING(s2)) | m_processor_v_REPLY_h_WAITING(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.61 tff(12385,plain,
% 49.93/32.61 (~m_main_v_REPLY_h_WAITING(s2)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[12384, 12379])).
% 49.93/32.61 tff(12386,assumption,(node61(c_p1, s2)), introduced(assumption)).
% 49.93/32.61 tff(12387,plain,
% 49.93/32.61 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | (m_main_v_REPLY_h_WAITING(s2) | (~m_processor_v_REPLY_h_WAITING(c_p1, s2)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | m_main_v_REPLY_h_WAITING(s2) | (~m_processor_v_REPLY_h_WAITING(c_p1, s2)))),
% 49.93/32.61 inference(rewrite,[status(thm)],[])).
% 49.93/32.61 tff(12388,plain,
% 49.93/32.61 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | (m_main_v_REPLY_h_WAITING(s2) | (~m_processor_v_REPLY_h_WAITING(c_p1, s2)))),
% 49.93/32.61 inference(quant_inst,[status(thm)],[])).
% 49.93/32.61 tff(12389,plain,
% 49.93/32.61 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | m_main_v_REPLY_h_WAITING(s2) | (~m_processor_v_REPLY_h_WAITING(c_p1, s2))),
% 49.93/32.61 inference(modus_ponens,[status(thm)],[12388, 12387])).
% 49.93/32.61 tff(12390,plain,
% 49.93/32.61 (~m_processor_v_REPLY_h_WAITING(c_p1, s2)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[12389, 7866, 9343])).
% 49.93/32.61 tff(12391,plain,
% 49.93/32.61 (((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p1, s2) | (~node61(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p1, s2) | (~node61(c_p1, s2)))),
% 49.93/32.61 inference(rewrite,[status(thm)],[])).
% 49.93/32.61 tff(12392,plain,
% 49.93/32.61 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p1, s2) | (~node61(c_p1, s2)))),
% 49.93/32.61 inference(quant_inst,[status(thm)],[])).
% 49.93/32.61 tff(12393,plain,
% 49.93/32.61 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p1, s2) | (~node61(c_p1, s2))),
% 49.93/32.61 inference(modus_ponens,[status(thm)],[12392, 12391])).
% 49.93/32.61 tff(12394,plain,
% 49.93/32.61 ($false),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[12393, 1891, 12390, 12386])).
% 49.93/32.61 tff(12395,plain,((~node61(c_p1, s2)) | m_main_v_REPLY_h_WAITING(s2)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.61 tff(12396,plain,
% 49.93/32.61 (~node61(c_p1, s2)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[12395, 12385])).
% 49.93/32.61 tff(12397,assumption,(~node61(c_p1, s2)), introduced(assumption)).
% 49.93/32.61 tff(12398,assumption,(m_processor_v_abort(c_p1, s2)), introduced(assumption)).
% 49.93/32.61 tff(12399,plain,
% 49.93/32.61 (((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p1, s2)) | m_processor_v_REPLY_h_STALL(c_p1, s2) | node61(c_p1, s2))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p1, s2)) | m_processor_v_REPLY_h_STALL(c_p1, s2) | node61(c_p1, s2))),
% 49.93/32.61 inference(rewrite,[status(thm)],[])).
% 49.93/32.61 tff(12400,plain,
% 49.93/32.61 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p1, s2)) | m_processor_v_REPLY_h_STALL(c_p1, s2) | node61(c_p1, s2))),
% 49.93/32.61 inference(quant_inst,[status(thm)],[])).
% 49.93/32.61 tff(12401,plain,
% 49.93/32.61 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p1, s2)) | m_processor_v_REPLY_h_STALL(c_p1, s2) | node61(c_p1, s2)),
% 49.93/32.61 inference(modus_ponens,[status(thm)],[12400, 12399])).
% 49.93/32.61 tff(12402,plain,
% 49.93/32.61 ($false),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[12401, 1417, 12398, 9303, 12397])).
% 49.93/32.61 tff(12403,plain,((~m_processor_v_abort(c_p1, s2)) | m_processor_v_REPLY_h_STALL(c_p1, s2) | node61(c_p1, s2)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.61 tff(12404,plain,
% 49.93/32.61 (~m_processor_v_abort(c_p1, s2)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[12403, 12396, 12355])).
% 49.93/32.61 tff(12405,plain,
% 49.93/32.61 (m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[5298, 12357])).
% 49.93/32.61 tff(12406,assumption,(~m_processor_v_snoop(c_p1, s3, c_shared)), introduced(assumption)).
% 49.93/32.61 tff(12407,plain,
% 49.93/32.61 (~m_processor_v_master(c_p1, s2)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[5415, 12404, 5375, 12405])).
% 49.93/32.61 tff(12408,plain,
% 49.93/32.61 (m_processor_v_state(c_p1, s2, c_owned)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[5484, 12407, 2595])).
% 49.93/32.61 tff(12409,plain,
% 49.93/32.61 ($false),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[8749, 12408, 12407, 12406, 12405, 12404])).
% 49.93/32.61 tff(12410,plain,(m_main_v_CMD(s2, c_read_h_owned) | m_processor_v_snoop(c_p1, s3, c_shared) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_waiting(c_p1, s3) | (~node56(c_p0, s4)) | m_processor_v_state(c_p0, s3, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.61 tff(12411,plain,
% 49.93/32.61 (m_main_v_CMD(s2, c_read_h_owned)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[12410, 12342, 6816, 12339, 6821, 12336])).
% 49.93/32.61 tff(12412,plain,
% 49.93/32.61 (~m_main_v_CMD(s2, c_read_h_shared)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[8797, 12411])).
% 49.93/32.61 tff(12413,plain,
% 49.93/32.61 (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[8791, 12412])).
% 49.93/32.61 tff(12414,plain,
% 49.93/32.61 (~node47(c_p1, s2)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[5419, 657, 12413])).
% 49.93/32.61 tff(12415,plain,
% 49.93/32.61 (~m_processor_v_state(c_p1, s2, c_invalid)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[5403, 12414, 12338, 12336, 6816])).
% 49.93/32.61 tff(12416,plain,
% 49.93/32.61 (m_processor_v_state(c_p0, s2, c_invalid)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[5074, 12415])).
% 49.93/32.61 tff(12417,plain,
% 49.93/32.61 (~node32(c_p0, s2, s3)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[5496, 12416, 12342])).
% 49.93/32.61 tff(12418,plain,
% 49.93/32.61 (~m_processor_v_abort(c_p0, s2)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[2704, 12417])).
% 49.93/32.61 tff(12419,plain,
% 49.93/32.61 (m_processor_v_master(c_p0, s2)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[9671, 12416, 6821])).
% 49.93/32.61 tff(12420,plain,
% 49.93/32.61 (m_processor_v_waiting(c_p0, s3)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[5647, 12419, 12418, 12416])).
% 49.93/32.61 tff(12421,plain,
% 49.93/32.61 (~m_processor_v_state(c_p0, s3, c_shared)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[9823, 12340, 7454])).
% 49.93/32.61 tff(12422,plain,
% 49.93/32.61 (~m_processor_v_state(c_p0, s4, c_invalid)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[1757, 7454])).
% 49.93/32.61 tff(12423,plain,
% 49.93/32.61 (~node29(c_m, s3)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[10563, 7452, 6816, 7454])).
% 49.93/32.61 tff(12424,plain,
% 49.93/32.61 (m_memory_v_cmd(c_m, s3, c_idle)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[9510, 12423])).
% 49.93/32.61 tff(12425,plain,
% 49.93/32.61 (~m_processor_v_cmd(c_p1, s3, c_idle)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[11716, 12416, 12424, 12422, 12340, 12341, 12421, 6821])).
% 49.93/32.61 tff(12426,plain,
% 49.93/32.61 (~m_processor_v_state(c_p1, s3, c_shared)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[6667, 12337, 6819])).
% 49.93/32.61 tff(12427,plain,
% 49.93/32.61 (~node63(c_p1, s3)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[10643, 1809, 12426])).
% 49.93/32.61 tff(12428,plain,
% 49.93/32.61 ($false),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[12085, 12045, 12040, 2595, 9446, 12078, 10566, 9463])).
% 49.93/32.61 tff(12429,plain,((~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_cmd(c_p1, s3, c_idle) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | node63(c_p1, s3)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.61 tff(12430,plain,
% 49.93/32.61 (m_processor_v_cmd(c_p1, s3, c_write_h_invalid)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[12429, 12427, 9813, 6816, 12425])).
% 49.93/32.61 tff(12431,plain,
% 49.93/32.61 (m_processor_v_master(c_p1, s3)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[9478, 12425])).
% 49.93/32.61 tff(12432,plain,
% 49.93/32.61 (~m_processor_v_master(c_p0, s3)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[9444, 794, 12431])).
% 49.93/32.61 tff(12433,plain,
% 49.93/32.61 (m_processor_v_cmd(c_p0, s3, c_idle)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[10144, 12432])).
% 49.93/32.61 tff(12434,plain,
% 49.93/32.61 (~node9(s3)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[10785, 12425])).
% 49.93/32.61 tff(12435,plain,
% 49.93/32.61 (~node16(s3)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[10569, 3386, 12431])).
% 49.93/32.61 tff(12436,plain,
% 49.93/32.61 (~m_processor_v_master(c_p2, s3)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[9562, 12435])).
% 49.93/32.61 tff(12437,plain,
% 49.93/32.61 (m_processor_v_cmd(c_p2, s3, c_idle)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[9594, 12436])).
% 49.93/32.61 tff(12438,plain,
% 49.93/32.61 (node10(s3)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[10800, 12437, 12424, 12434, 12433])).
% 49.93/32.61 tff(12439,assumption,(m_processor_v_cmd(c_p1, s3, c_write_h_invalid)), introduced(assumption)).
% 49.93/32.61 tff(12440,plain,
% 49.93/32.61 ($false),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[10733, 3481, 10679, 10604, 12439])).
% 49.93/32.61 tff(12441,plain,((~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)) | m_main_v_CMD(s3, c_write_h_invalid) | (~node10(s3))), inference(lemma,lemma(discharge,[]))).
% 49.93/32.61 tff(12442,plain,
% 49.93/32.61 (m_main_v_CMD(s3, c_write_h_invalid)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[12441, 12438, 12430])).
% 49.93/32.61 tff(12443,plain,
% 49.93/32.61 (~m_main_v_CMD(s3, c_read_h_shared)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[11385, 8958, 12442])).
% 49.93/32.61 tff(12444,plain,
% 49.93/32.61 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[10595, 12443])).
% 49.93/32.61 tff(12445,plain,
% 49.93/32.61 (^[X: $i] : refl(((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid))) <=> ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid))))),
% 49.93/32.61 inference(bind,[status(th)],[])).
% 49.93/32.61 tff(12446,plain,
% 49.93/32.61 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))),
% 49.93/32.61 inference(quant_intro,[status(thm)],[12445])).
% 49.93/32.61 tff(12447,plain,
% 49.93/32.61 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))),
% 49.93/32.61 inference(rewrite,[status(thm)],[])).
% 49.93/32.61 tff(12448,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_17')).
% 49.93/32.61 tff(12449,plain,
% 49.93/32.61 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))),
% 49.93/32.61 inference(modus_ponens,[status(thm)],[12448, 12447])).
% 49.93/32.61 tff(12450,plain,(
% 49.93/32.61 ![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))),
% 49.93/32.61 inference(skolemize,[status(sab)],[12449])).
% 49.93/32.61 tff(12451,plain,
% 49.93/32.61 (![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))),
% 49.93/32.61 inference(modus_ponens,[status(thm)],[12450, 12446])).
% 49.93/32.61 tff(12452,plain,
% 49.93/32.61 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_write_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_write_h_invalid)))),
% 49.93/32.61 inference(rewrite,[status(thm)],[])).
% 49.93/32.61 tff(12453,plain,
% 49.93/32.61 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_write_h_invalid)))),
% 49.93/32.61 inference(quant_inst,[status(thm)],[])).
% 49.93/32.61 tff(12454,plain,
% 49.93/32.61 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_write_h_invalid))),
% 49.93/32.61 inference(modus_ponens,[status(thm)],[12453, 12452])).
% 49.93/32.61 tff(12455,plain,
% 49.93/32.61 (~m_main_v_CMD(s3, c_read_h_owned)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[12454, 12451, 12442])).
% 49.93/32.61 tff(12456,assumption,(m_processor_v_CMD(c_p1, s3, c_read_h_owned)), introduced(assumption)).
% 49.93/32.61 tff(12457,plain,
% 49.93/32.61 ($false),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[10702, 1260, 10577, 9614, 12456])).
% 49.93/32.61 tff(12458,plain,((~m_processor_v_CMD(c_p1, s3, c_read_h_owned)) | m_main_v_CMD(s3, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.61 tff(12459,plain,
% 49.93/32.61 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[12458, 12455])).
% 49.93/32.61 tff(12460,assumption,(node61(c_p1, s3)), introduced(assumption)).
% 49.93/32.61 tff(12461,plain,
% 49.93/32.61 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node61(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node61(c_p1, s3)))),
% 49.93/32.61 inference(rewrite,[status(thm)],[])).
% 49.93/32.61 tff(12462,plain,
% 49.93/32.61 ((m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~node61(c_p1, s3))) <=> (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node61(c_p1, s3)))),
% 49.93/32.61 inference(rewrite,[status(thm)],[])).
% 49.93/32.61 tff(12463,plain,
% 49.93/32.61 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~node61(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node61(c_p1, s3))))),
% 49.93/32.61 inference(monotonicity,[status(thm)],[12462])).
% 49.93/32.61 tff(12464,plain,
% 49.93/32.61 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~node61(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node61(c_p1, s3)))),
% 49.93/32.61 inference(transitivity,[status(thm)],[12463, 12461])).
% 49.93/32.61 tff(12465,plain,
% 49.93/32.61 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~node61(c_p1, s3)))),
% 49.93/32.61 inference(quant_inst,[status(thm)],[])).
% 49.93/32.61 tff(12466,plain,
% 49.93/32.61 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node61(c_p1, s3))),
% 49.93/32.61 inference(modus_ponens,[status(thm)],[12465, 12464])).
% 49.93/32.61 tff(12467,plain,
% 49.93/32.61 ($false),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[12466, 2268, 6730, 10573, 12460])).
% 49.93/32.61 tff(12468,plain,((~node61(c_p1, s3)) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.61 tff(12469,plain,
% 49.93/32.61 (~node61(c_p1, s3)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[12468, 12459, 12444])).
% 49.93/32.61 tff(12470,assumption,(~node61(c_p1, s3)), introduced(assumption)).
% 49.93/32.61 tff(12471,assumption,(m_processor_v_abort(c_p1, s3)), introduced(assumption)).
% 49.93/32.61 tff(12472,plain,
% 49.93/32.61 (((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p1, s3)) | m_processor_v_REPLY_h_STALL(c_p1, s3) | node61(c_p1, s3))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p1, s3)) | m_processor_v_REPLY_h_STALL(c_p1, s3) | node61(c_p1, s3))),
% 49.93/32.61 inference(rewrite,[status(thm)],[])).
% 49.93/32.61 tff(12473,plain,
% 49.93/32.61 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p1, s3)) | m_processor_v_REPLY_h_STALL(c_p1, s3) | node61(c_p1, s3))),
% 49.93/32.61 inference(quant_inst,[status(thm)],[])).
% 49.93/32.61 tff(12474,plain,
% 49.93/32.61 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p1, s3)) | m_processor_v_REPLY_h_STALL(c_p1, s3) | node61(c_p1, s3)),
% 49.93/32.61 inference(modus_ponens,[status(thm)],[12473, 12472])).
% 49.93/32.61 tff(12475,plain,
% 49.93/32.61 ($false),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[12474, 1417, 12471, 11815, 12470])).
% 49.93/32.61 tff(12476,plain,((~m_processor_v_abort(c_p1, s3)) | m_processor_v_REPLY_h_STALL(c_p1, s3) | node61(c_p1, s3)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.61 tff(12477,plain,
% 49.93/32.61 (m_processor_v_REPLY_h_STALL(c_p1, s3)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[12476, 12469, 12334])).
% 49.93/32.61 tff(12478,assumption,(m_processor_v_REPLY_h_STALL(c_p1, s3)), introduced(assumption)).
% 49.93/32.61 tff(12479,plain,
% 49.93/32.61 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | (m_main_v_REPLY_h_STALL(s3) | (~m_processor_v_REPLY_h_STALL(c_p1, s3)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | m_main_v_REPLY_h_STALL(s3) | (~m_processor_v_REPLY_h_STALL(c_p1, s3)))),
% 49.93/32.61 inference(rewrite,[status(thm)],[])).
% 49.93/32.61 tff(12480,plain,
% 49.93/32.61 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | (m_main_v_REPLY_h_STALL(s3) | (~m_processor_v_REPLY_h_STALL(c_p1, s3)))),
% 49.93/32.61 inference(quant_inst,[status(thm)],[])).
% 49.93/32.61 tff(12481,plain,
% 49.93/32.61 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | m_main_v_REPLY_h_STALL(s3) | (~m_processor_v_REPLY_h_STALL(c_p1, s3))),
% 49.93/32.61 inference(modus_ponens,[status(thm)],[12480, 12479])).
% 49.93/32.61 tff(12482,plain,
% 49.93/32.61 ($false),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[12481, 1399, 10505, 12478])).
% 49.93/32.61 tff(12483,plain,((~m_processor_v_REPLY_h_STALL(c_p1, s3)) | m_main_v_REPLY_h_STALL(s3)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.61 tff(12484,plain,
% 49.93/32.61 (m_main_v_REPLY_h_STALL(s3)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[12483, 12477])).
% 49.93/32.61 tff(12485,plain,
% 49.93/32.61 (m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[10502, 12484])).
% 49.93/32.61 tff(12486,plain,
% 49.93/32.61 (~node60(c_p0, s3)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[10494, 12485])).
% 49.93/32.61 tff(12487,plain,
% 49.93/32.61 (m_processor_v_abort(c_p0, s3)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[10486, 12486])).
% 49.93/32.61 tff(12488,plain,
% 49.93/32.61 (node46(c_p0, s3, s4)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[11697, 12487])).
% 49.93/32.61 tff(12489,plain,
% 49.93/32.61 ($false),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[11714, 11708, 12340, 12488, 12420])).
% 49.93/32.61 tff(12490,plain,(node67(s8) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p0, s6, c_owned) | node67(s9)), inference(lemma,lemma(discharge,[]))).
% 49.93/32.61 tff(12491,plain,
% 49.93/32.61 (node67(s8)),
% 49.93/32.61 inference(unit_resolution,[status(thm)],[12490, 5, 53, 5949])).
% 49.93/32.61 tff(12492,assumption,(~m_processor_v_writable(c_p0, s8)), introduced(assumption)).
% 49.93/32.61 tff(12493,plain,
% 49.93/32.61 (((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | ((~node67(s8)) | m_processor_v_writable(c_p0, s8))) <=> ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (~node67(s8)) | m_processor_v_writable(c_p0, s8))),
% 49.93/32.61 inference(rewrite,[status(thm)],[])).
% 49.93/32.61 tff(12494,plain,
% 49.93/32.61 ((m_processor_v_writable(c_p0, s8) | (~node67(s8))) <=> ((~node67(s8)) | m_processor_v_writable(c_p0, s8))),
% 49.93/32.61 inference(rewrite,[status(thm)],[])).
% 50.00/32.61 tff(12495,plain,
% 50.00/32.61 (((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s8) | (~node67(s8)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | ((~node67(s8)) | m_processor_v_writable(c_p0, s8)))),
% 50.00/32.61 inference(monotonicity,[status(thm)],[12494])).
% 50.00/32.61 tff(12496,plain,
% 50.00/32.61 (((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s8) | (~node67(s8)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (~node67(s8)) | m_processor_v_writable(c_p0, s8))),
% 50.00/32.61 inference(transitivity,[status(thm)],[12495, 12493])).
% 50.00/32.61 tff(12497,plain,
% 50.00/32.61 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s8) | (~node67(s8)))),
% 50.00/32.61 inference(quant_inst,[status(thm)],[])).
% 50.00/32.61 tff(12498,plain,
% 50.00/32.61 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (~node67(s8)) | m_processor_v_writable(c_p0, s8)),
% 50.00/32.61 inference(modus_ponens,[status(thm)],[12497, 12496])).
% 50.00/32.61 tff(12499,plain,
% 50.00/32.61 ($false),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[12498, 43, 5689, 12492])).
% 50.00/32.61 tff(12500,plain,((~node67(s8)) | m_processor_v_writable(c_p0, s8)), inference(lemma,lemma(discharge,[]))).
% 50.00/32.61 tff(12501,plain,
% 50.00/32.61 (m_processor_v_writable(c_p0, s8)),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[12500, 12491])).
% 50.00/32.61 tff(12502,assumption,(m_processor_v_writable(c_p0, s8)), introduced(assumption)).
% 50.00/32.61 tff(12503,assumption,(~node56(c_p0, s8)), introduced(assumption)).
% 50.00/32.61 tff(12504,plain,
% 50.00/32.61 (((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s8)) | node56(c_p0, s8))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s8)) | node56(c_p0, s8))),
% 50.00/32.61 inference(rewrite,[status(thm)],[])).
% 50.00/32.61 tff(12505,plain,
% 50.00/32.61 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s8)) | node56(c_p0, s8))),
% 50.00/32.61 inference(quant_inst,[status(thm)],[])).
% 50.00/32.61 tff(12506,plain,
% 50.00/32.61 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s8)) | node56(c_p0, s8)),
% 50.00/32.61 inference(modus_ponens,[status(thm)],[12505, 12504])).
% 50.00/32.61 tff(12507,plain,
% 50.00/32.61 ($false),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[12506, 28, 12503, 12502])).
% 50.00/32.61 tff(12508,plain,((~m_processor_v_writable(c_p0, s8)) | node56(c_p0, s8)), inference(lemma,lemma(discharge,[]))).
% 50.00/32.61 tff(12509,plain,
% 50.00/32.61 (node56(c_p0, s8)),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[12508, 12501])).
% 50.00/32.61 tff(12510,assumption,(node56(c_p1, s7)), introduced(assumption)).
% 50.00/32.61 tff(12511,plain,
% 50.00/32.61 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s7, c_owned) | (~node56(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p1, s7, c_owned) | (~node56(c_p1, s7)))),
% 50.00/32.61 inference(rewrite,[status(thm)],[])).
% 50.00/32.61 tff(12512,plain,
% 50.00/32.61 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p1, s7, c_owned) | (~node56(c_p1, s7)))),
% 50.00/32.61 inference(quant_inst,[status(thm)],[])).
% 50.00/32.61 tff(12513,plain,
% 50.00/32.61 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p1, s7, c_owned) | (~node56(c_p1, s7))),
% 50.00/32.61 inference(modus_ponens,[status(thm)],[12512, 12511])).
% 50.00/32.61 tff(12514,plain,
% 50.00/32.61 ($false),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[12513, 13, 4, 12510])).
% 50.00/32.61 tff(12515,plain,((~node56(c_p1, s7)) | m_processor_v_state(c_p1, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.00/32.61 tff(12516,plain,
% 50.00/32.61 (~node56(c_p1, s7)),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[12515, 4])).
% 50.00/32.61 tff(12517,assumption,(m_processor_v_writable(c_p1, s7)), introduced(assumption)).
% 50.00/32.61 tff(12518,assumption,(~node56(c_p1, s7)), introduced(assumption)).
% 50.00/32.61 tff(12519,plain,
% 50.00/32.61 (((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p1, s7)) | node56(c_p1, s7))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p1, s7)) | node56(c_p1, s7))),
% 50.00/32.61 inference(rewrite,[status(thm)],[])).
% 50.00/32.61 tff(12520,plain,
% 50.00/32.61 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p1, s7)) | node56(c_p1, s7))),
% 50.00/32.61 inference(quant_inst,[status(thm)],[])).
% 50.00/32.61 tff(12521,plain,
% 50.00/32.61 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p1, s7)) | node56(c_p1, s7)),
% 50.00/32.61 inference(modus_ponens,[status(thm)],[12520, 12519])).
% 50.00/32.61 tff(12522,plain,
% 50.00/32.61 ($false),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[12521, 28, 12518, 12517])).
% 50.00/32.61 tff(12523,plain,((~m_processor_v_writable(c_p1, s7)) | node56(c_p1, s7)), inference(lemma,lemma(discharge,[]))).
% 50.00/32.61 tff(12524,plain,
% 50.00/32.61 (~m_processor_v_writable(c_p1, s7)),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[12523, 12516])).
% 50.00/32.61 tff(12525,assumption,(~m_processor_v_writable(c_p1, s7)), introduced(assumption)).
% 50.00/32.61 tff(12526,plain,
% 50.00/32.61 (((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s7) | (~node67(s7)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | m_processor_v_writable(c_p1, s7) | (~node67(s7)))),
% 50.00/32.61 inference(rewrite,[status(thm)],[])).
% 50.00/32.61 tff(12527,plain,
% 50.00/32.61 ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | (m_processor_v_writable(c_p1, s7) | (~node67(s7)))),
% 50.00/32.61 inference(quant_inst,[status(thm)],[])).
% 50.00/32.61 tff(12528,plain,
% 50.00/32.61 ((~![X: $i] : (m_processor_v_writable(c_p1, X) | (~node67(X)))) | m_processor_v_writable(c_p1, s7) | (~node67(s7))),
% 50.00/32.61 inference(modus_ponens,[status(thm)],[12527, 12526])).
% 50.00/32.61 tff(12529,plain,
% 50.00/32.61 ($false),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[12528, 98, 12525, 2587])).
% 50.00/32.61 tff(12530,plain,((~node67(s7)) | m_processor_v_writable(c_p1, s7)), inference(lemma,lemma(discharge,[]))).
% 50.00/32.61 tff(12531,plain,
% 50.00/32.61 (~node67(s7)),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[12530, 12524])).
% 50.00/32.61 tff(12532,plain,
% 50.00/32.61 (node67(s4)),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[6554, 5668, 5949, 104, 5932, 5667])).
% 50.00/32.61 tff(12533,plain,
% 50.00/32.61 (m_processor_v_writable(c_p1, s4)),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[6565, 12532])).
% 50.00/32.61 tff(12534,plain,
% 50.00/32.61 (node56(c_p1, s4)),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[6573, 12533])).
% 50.00/32.61 tff(12535,plain,
% 50.00/32.61 (m_processor_v_state(c_p1, s3, c_owned)),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[6815, 12534])).
% 50.00/32.61 tff(12536,plain,
% 50.00/32.61 (~m_processor_v_waiting(c_p1, s4)),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[6603, 540, 12534])).
% 50.00/32.61 tff(12537,plain,
% 50.00/32.61 (m_processor_v_state(c_p0, s5, c_owned)),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[6931, 12532, 53])).
% 50.00/32.61 tff(12538,plain,
% 50.00/32.61 (m_processor_v_state(c_p1, s4, c_owned)),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[6584, 12534])).
% 50.00/32.61 tff(12539,plain,
% 50.00/32.61 (m_processor_v_master(c_p1, s4)),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[6865, 12538, 53])).
% 50.00/32.61 tff(12540,plain,
% 50.00/32.61 (~m_processor_v_master(c_p0, s4)),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[1437, 12539])).
% 50.00/32.61 tff(12541,plain,
% 50.00/32.61 (m_processor_v_state(c_p0, s4, c_owned)),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[1191, 12540, 12537])).
% 50.00/32.61 tff(12542,plain,
% 50.00/32.61 (m_processor_v_writable(c_p0, s4)),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[73, 43, 12532])).
% 50.00/32.61 tff(12543,plain,
% 50.00/32.61 (node56(c_p0, s4)),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[67, 28, 12542])).
% 50.00/32.61 tff(12544,assumption,(node32(c_p1, s4, s5)), introduced(assumption)).
% 50.00/32.61 tff(12545,plain,
% 50.00/32.61 ($false),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[6863, 380, 6605, 12544, 53])).
% 50.00/32.61 tff(12546,plain,((~node32(c_p1, s4, s5)) | (~m_processor_v_state(c_p1, s4, c_owned)) | m_processor_v_state(c_p1, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.00/32.61 tff(12547,plain,
% 50.00/32.61 (~node32(c_p1, s4, s5)),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[12546, 12538, 53])).
% 50.00/32.61 tff(12548,plain,
% 50.00/32.61 (~m_processor_v_abort(c_p1, s4)),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[6859, 12547])).
% 50.00/32.61 tff(12549,plain,
% 50.00/32.61 (node60(c_p1, s4)),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[1430, 12548])).
% 50.00/32.61 tff(12550,plain,
% 50.00/32.61 (~m_processor_v_REPLY_h_STALL(c_p1, s4)),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[1702, 12549])).
% 50.00/32.61 tff(12551,plain,
% 50.00/32.61 (~m_main_v_REPLY_h_STALL(s4)),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[1718, 12550])).
% 50.00/32.61 tff(12552,plain,
% 50.00/32.61 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | (m_main_v_REPLY_h_STALL(s4) | node7(s4))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | m_main_v_REPLY_h_STALL(s4) | node7(s4))),
% 50.00/32.61 inference(rewrite,[status(thm)],[])).
% 50.00/32.61 tff(12553,plain,
% 50.00/32.61 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | (m_main_v_REPLY_h_STALL(s4) | node7(s4))),
% 50.00/32.61 inference(quant_inst,[status(thm)],[])).
% 50.00/32.61 tff(12554,plain,
% 50.00/32.61 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | m_main_v_REPLY_h_STALL(s4) | node7(s4)),
% 50.00/32.61 inference(modus_ponens,[status(thm)],[12553, 12552])).
% 50.00/32.61 tff(12555,plain,
% 50.00/32.61 (m_main_v_REPLY_h_STALL(s4) | node7(s4)),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[12554, 3905])).
% 50.00/32.61 tff(12556,plain,
% 50.00/32.61 (node7(s4)),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[12555, 12551])).
% 50.00/32.61 tff(12557,plain,
% 50.00/32.61 (((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | ((~node7(s4)) | (~m_memory_v_reply_h_stall(c_m, s4)))) <=> ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | (~node7(s4)) | (~m_memory_v_reply_h_stall(c_m, s4)))),
% 50.00/32.61 inference(rewrite,[status(thm)],[])).
% 50.00/32.61 tff(12558,plain,
% 50.00/32.61 ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | ((~node7(s4)) | (~m_memory_v_reply_h_stall(c_m, s4)))),
% 50.00/32.61 inference(quant_inst,[status(thm)],[])).
% 50.00/32.61 tff(12559,plain,
% 50.00/32.61 ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | (~node7(s4)) | (~m_memory_v_reply_h_stall(c_m, s4))),
% 50.00/32.61 inference(modus_ponens,[status(thm)],[12558, 12557])).
% 50.00/32.61 tff(12560,plain,
% 50.00/32.61 (~m_memory_v_reply_h_stall(c_m, s4)),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[12559, 3923, 12556])).
% 50.00/32.61 tff(12561,plain,
% 50.00/32.61 (m_processor_v_snoop(c_p1, s3, c_invalid)),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[9812, 5668, 5949, 53, 5932, 5667])).
% 50.00/32.61 tff(12562,assumption,(~m_memory_v_reply_h_stall(c_m, s4)), introduced(assumption)).
% 50.00/32.61 tff(12563,plain,
% 50.00/32.61 (m_memory_v_busy(c_m, s4)),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[10563, 12188, 2595, 1752])).
% 50.00/32.61 tff(12564,assumption,(~node30(c_m, s4)), introduced(assumption)).
% 50.00/32.61 tff(12565,plain,
% 50.00/32.61 (((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | ((~m_memory_v_busy(c_m, s4)) | node30(c_m, s4) | m_memory_v_reply_h_stall(c_m, s4))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | (~m_memory_v_busy(c_m, s4)) | node30(c_m, s4) | m_memory_v_reply_h_stall(c_m, s4))),
% 50.00/32.61 inference(rewrite,[status(thm)],[])).
% 50.00/32.61 tff(12566,plain,
% 50.00/32.61 ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | ((~m_memory_v_busy(c_m, s4)) | node30(c_m, s4) | m_memory_v_reply_h_stall(c_m, s4))),
% 50.00/32.61 inference(quant_inst,[status(thm)],[])).
% 50.00/32.61 tff(12567,plain,
% 50.00/32.61 ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | (~m_memory_v_busy(c_m, s4)) | node30(c_m, s4) | m_memory_v_reply_h_stall(c_m, s4)),
% 50.00/32.61 inference(modus_ponens,[status(thm)],[12566, 12565])).
% 50.00/32.61 tff(12568,plain,
% 50.00/32.61 ($false),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[12567, 4819, 7332, 12562, 12564])).
% 50.00/32.61 tff(12569,plain,(node30(c_m, s4) | (~m_memory_v_busy(c_m, s4)) | m_memory_v_reply_h_stall(c_m, s4)), inference(lemma,lemma(discharge,[]))).
% 50.00/32.61 tff(12570,plain,
% 50.00/32.61 (node30(c_m, s4)),
% 50.00/32.61 inference(unit_resolution,[status(thm)],[12569, 12563, 12562])).
% 50.00/32.61 tff(12571,assumption,(node30(c_m, s4)), introduced(assumption)).
% 50.00/32.61 tff(12572,assumption,(m_memory_v_CMD(c_m, s4, c_write_h_invalid)), introduced(assumption)).
% 50.00/32.61 tff(12573,plain,
% 50.00/32.61 (((~![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_invalid)))) | ((~node30(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_invalid)))) | (~node30(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_write_h_invalid)))),
% 50.00/32.62 inference(rewrite,[status(thm)],[])).
% 50.00/32.62 tff(12574,plain,
% 50.00/32.62 ((~![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_invalid)))) | ((~node30(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_write_h_invalid)))),
% 50.00/32.62 inference(quant_inst,[status(thm)],[])).
% 50.00/32.62 tff(12575,plain,
% 50.00/32.62 ((~![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_invalid)))) | (~node30(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_write_h_invalid))),
% 50.00/32.62 inference(modus_ponens,[status(thm)],[12574, 12573])).
% 50.00/32.62 tff(12576,plain,
% 50.00/32.62 ($false),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[12575, 6964, 12572, 12571])).
% 50.00/32.62 tff(12577,plain,((~m_memory_v_CMD(c_m, s4, c_write_h_invalid)) | (~node30(c_m, s4))), inference(lemma,lemma(discharge,[]))).
% 50.00/32.62 tff(12578,plain,
% 50.00/32.62 (~m_memory_v_CMD(c_m, s4, c_write_h_invalid)),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[12577, 12570])).
% 50.00/32.62 tff(12579,assumption,(~m_memory_v_CMD(c_m, s4, c_write_h_invalid)), introduced(assumption)).
% 50.00/32.62 tff(12580,assumption,(m_main_v_CMD(s4, c_write_h_invalid)), introduced(assumption)).
% 50.00/32.62 tff(12581,assumption,(~node1(s4)), introduced(assumption)).
% 50.00/32.62 tff(12582,plain,
% 50.00/32.62 ((~![X: $i] : node1(X)) | node1(s4)),
% 50.00/32.62 inference(quant_inst,[status(thm)],[])).
% 50.00/32.62 tff(12583,plain,
% 50.00/32.62 ($false),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[12582, 4194, 12581])).
% 50.00/32.62 tff(12584,plain,(node1(s4)), inference(lemma,lemma(discharge,[]))).
% 50.00/32.62 tff(12585,plain,
% 50.00/32.62 (((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s4)) | (~m_main_v_CMD(s4, c_write_h_invalid)) | m_memory_v_CMD(c_m, s4, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s4)) | (~m_main_v_CMD(s4, c_write_h_invalid)) | m_memory_v_CMD(c_m, s4, c_write_h_invalid))),
% 50.00/32.62 inference(rewrite,[status(thm)],[])).
% 50.00/32.62 tff(12586,plain,
% 50.00/32.62 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s4)) | (~m_main_v_CMD(s4, c_write_h_invalid)) | m_memory_v_CMD(c_m, s4, c_write_h_invalid))),
% 50.00/32.62 inference(quant_inst,[status(thm)],[])).
% 50.00/32.62 tff(12587,plain,
% 50.00/32.62 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s4)) | (~m_main_v_CMD(s4, c_write_h_invalid)) | m_memory_v_CMD(c_m, s4, c_write_h_invalid)),
% 50.00/32.62 inference(modus_ponens,[status(thm)],[12586, 12585])).
% 50.00/32.62 tff(12588,plain,
% 50.00/32.62 ($false),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[12587, 4207, 12584, 12580, 12579])).
% 50.00/32.62 tff(12589,plain,((~m_main_v_CMD(s4, c_write_h_invalid)) | m_memory_v_CMD(c_m, s4, c_write_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.00/32.62 tff(12590,plain,
% 50.00/32.62 (~m_main_v_CMD(s4, c_write_h_invalid)),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[12589, 12578])).
% 50.00/32.62 tff(12591,plain,
% 50.00/32.62 (~node17(s4)),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[6871, 1432])).
% 50.00/32.62 tff(12592,plain,
% 50.00/32.62 (~m_memory_v_master(c_m, s4)),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[1295, 12591])).
% 50.00/32.62 tff(12593,plain,
% 50.00/32.62 (~node29(c_m, s4)),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[1310, 12592])).
% 50.00/32.62 tff(12594,plain,
% 50.00/32.62 (m_memory_v_cmd(c_m, s4, c_idle)),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[1325, 12593])).
% 50.00/32.62 tff(12595,plain,
% 50.00/32.62 (~m_processor_v_master(c_p0, s4)),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[1437, 1432])).
% 50.00/32.62 tff(12596,plain,
% 50.00/32.62 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p0, s4) | (~node66(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p0, s4) | (~node66(c_p0, s4)))),
% 50.00/32.62 inference(rewrite,[status(thm)],[])).
% 50.00/32.62 tff(12597,plain,
% 50.00/32.62 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p0, s4) | (~node66(c_p0, s4)))),
% 50.00/32.62 inference(quant_inst,[status(thm)],[])).
% 50.00/32.62 tff(12598,plain,
% 50.00/32.62 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p0, s4) | (~node66(c_p0, s4))),
% 50.00/32.62 inference(modus_ponens,[status(thm)],[12597, 12596])).
% 50.00/32.62 tff(12599,plain,
% 50.00/32.62 (~node66(c_p0, s4)),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[12598, 1446, 1126])).
% 50.00/32.62 tff(12600,plain,
% 50.00/32.62 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p0, s4) | (~node64(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p0, s4) | (~node64(c_p0, s4)))),
% 50.00/32.62 inference(rewrite,[status(thm)],[])).
% 50.00/32.62 tff(12601,plain,
% 50.00/32.62 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p0, s4) | (~node64(c_p0, s4)))),
% 50.00/32.62 inference(quant_inst,[status(thm)],[])).
% 50.00/32.62 tff(12602,plain,
% 50.00/32.62 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p0, s4) | (~node64(c_p0, s4))),
% 50.00/32.62 inference(modus_ponens,[status(thm)],[12601, 12600])).
% 50.00/32.62 tff(12603,plain,
% 50.00/32.62 (~node64(c_p0, s4)),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[12602, 1482, 1126])).
% 50.00/32.62 tff(12604,plain,
% 50.00/32.62 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p0, s4) | (~node63(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p0, s4) | (~node63(c_p0, s4)))),
% 50.00/32.62 inference(rewrite,[status(thm)],[])).
% 50.00/32.62 tff(12605,plain,
% 50.00/32.62 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p0, s4) | (~node63(c_p0, s4)))),
% 50.00/32.62 inference(quant_inst,[status(thm)],[])).
% 50.00/32.62 tff(12606,plain,
% 50.00/32.62 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p0, s4) | (~node63(c_p0, s4))),
% 50.00/32.62 inference(modus_ponens,[status(thm)],[12605, 12604])).
% 50.00/32.62 tff(12607,plain,
% 50.00/32.62 (~node63(c_p0, s4)),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[12606, 1469, 1126])).
% 50.00/32.62 tff(12608,plain,
% 50.00/32.62 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p0, s4) | (~node65(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p0, s4) | (~node65(c_p0, s4)))),
% 50.00/32.62 inference(rewrite,[status(thm)],[])).
% 50.00/32.62 tff(12609,plain,
% 50.00/32.62 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p0, s4) | (~node65(c_p0, s4)))),
% 50.00/32.62 inference(quant_inst,[status(thm)],[])).
% 50.00/32.62 tff(12610,plain,
% 50.00/32.62 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p0, s4) | (~node65(c_p0, s4))),
% 50.00/32.62 inference(modus_ponens,[status(thm)],[12609, 12608])).
% 50.00/32.62 tff(12611,plain,
% 50.00/32.62 (~node65(c_p0, s4)),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[12610, 1457, 1126])).
% 50.00/32.62 tff(12612,plain,
% 50.00/32.62 (~node62(c_p0, s4)),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[1824, 1493, 1126])).
% 50.00/32.62 tff(12613,assumption,(~m_processor_v_cmd(c_p0, s4, c_idle)), introduced(assumption)).
% 50.00/32.62 tff(12614,plain,
% 50.00/32.62 (node65(c_p0, s4) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4) | node66(c_p0, s4)),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[1819, 1508, 12613])).
% 50.00/32.62 tff(12615,plain,
% 50.00/32.62 ($false),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[12614, 12612, 12611, 12607, 12603, 12599])).
% 50.00/32.62 tff(12616,plain,(m_processor_v_master(c_p0, s4) | m_processor_v_cmd(c_p0, s4, c_idle)), inference(lemma,lemma(discharge,[]))).
% 50.00/32.62 tff(12617,plain,
% 50.00/32.62 (m_processor_v_cmd(c_p0, s4, c_idle)),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[12616, 12595])).
% 50.00/32.62 tff(12618,plain,
% 50.00/32.62 (((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | ((~node16(s4)) | (~m_processor_v_master(c_p1, s4)))) <=> ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | (~node16(s4)) | (~m_processor_v_master(c_p1, s4)))),
% 50.00/32.62 inference(rewrite,[status(thm)],[])).
% 50.00/32.62 tff(12619,plain,
% 50.00/32.62 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | ((~node16(s4)) | (~m_processor_v_master(c_p1, s4)))),
% 50.00/32.62 inference(quant_inst,[status(thm)],[])).
% 50.00/32.62 tff(12620,plain,
% 50.00/32.62 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | (~node16(s4)) | (~m_processor_v_master(c_p1, s4))),
% 50.00/32.62 inference(modus_ponens,[status(thm)],[12619, 12618])).
% 50.00/32.62 tff(12621,plain,
% 50.00/32.62 ($false),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[12620, 3386, 1432, 1520])).
% 50.00/32.62 tff(12622,plain,((~m_processor_v_master(c_p1, s4)) | (~node16(s4))), inference(lemma,lemma(discharge,[]))).
% 50.00/32.62 tff(12623,plain,
% 50.00/32.62 (~node16(s4)),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[12622, 1432])).
% 50.00/32.62 tff(12624,plain,
% 50.00/32.62 (~m_processor_v_master(c_p2, s4)),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[1550, 12623])).
% 50.00/32.62 tff(12625,plain,
% 50.00/32.62 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[1582, 12624])).
% 50.00/32.62 tff(12626,plain,
% 50.00/32.62 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p1, s4, c_invalid) | (~node62(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p1, s4, c_invalid) | (~node62(c_p1, s4)))),
% 50.00/32.62 inference(rewrite,[status(thm)],[])).
% 50.00/32.62 tff(12627,plain,
% 50.00/32.62 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p1, s4, c_invalid) | (~node62(c_p1, s4)))),
% 50.00/32.62 inference(quant_inst,[status(thm)],[])).
% 50.00/32.62 tff(12628,plain,
% 50.00/32.62 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p1, s4, c_invalid) | (~node62(c_p1, s4))),
% 50.00/32.62 inference(modus_ponens,[status(thm)],[12627, 12626])).
% 50.00/32.62 tff(12629,plain,
% 50.00/32.62 (~node62(c_p1, s4)),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[12628, 1633, 6606])).
% 50.00/32.62 tff(12630,plain,
% 50.00/32.62 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p1, s4, c_shared) | (~node63(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p1, s4, c_shared) | (~node63(c_p1, s4)))),
% 50.00/32.62 inference(rewrite,[status(thm)],[])).
% 50.00/32.62 tff(12631,plain,
% 50.00/32.62 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p1, s4, c_shared) | (~node63(c_p1, s4)))),
% 50.00/32.62 inference(quant_inst,[status(thm)],[])).
% 50.00/32.62 tff(12632,plain,
% 50.00/32.62 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p1, s4, c_shared) | (~node63(c_p1, s4))),
% 50.00/32.62 inference(modus_ponens,[status(thm)],[12631, 12630])).
% 50.00/32.62 tff(12633,plain,
% 50.00/32.62 (~node63(c_p1, s4)),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[12632, 1809, 6822])).
% 50.00/32.62 tff(12634,assumption,(~node63(c_p1, s4)), introduced(assumption)).
% 50.00/32.62 tff(12635,assumption,(~node62(c_p1, s4)), introduced(assumption)).
% 50.00/32.62 tff(12636,plain,
% 50.00/32.62 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid)))),
% 50.00/32.62 inference(rewrite,[status(thm)],[])).
% 50.00/32.62 tff(12637,plain,
% 50.00/32.62 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid)))),
% 50.00/32.62 inference(quant_inst,[status(thm)],[])).
% 50.00/32.62 tff(12638,plain,
% 50.00/32.62 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid))),
% 50.00/32.62 inference(modus_ponens,[status(thm)],[12637, 12636])).
% 50.00/32.62 tff(12639,plain,
% 50.00/32.62 (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid)),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[12638, 4296, 1620])).
% 50.00/32.62 tff(12640,plain,
% 50.00/32.62 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node63(c_p1, s4) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s4, c_owned)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node63(c_p1, s4) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s4, c_owned)))),
% 50.00/32.62 inference(rewrite,[status(thm)],[])).
% 50.00/32.62 tff(12641,plain,
% 50.00/32.62 ((m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s4, c_owned)) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node63(c_p1, s4)) <=> ((~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node63(c_p1, s4) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s4, c_owned)))),
% 50.00/32.62 inference(rewrite,[status(thm)],[])).
% 50.00/32.62 tff(12642,plain,
% 50.00/32.62 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s4, c_owned)) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node63(c_p1, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node63(c_p1, s4) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s4, c_owned))))),
% 50.00/32.62 inference(monotonicity,[status(thm)],[12641])).
% 50.00/32.62 tff(12643,plain,
% 50.00/32.62 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s4, c_owned)) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node63(c_p1, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node63(c_p1, s4) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s4, c_owned)))),
% 50.00/32.62 inference(transitivity,[status(thm)],[12642, 12640])).
% 50.00/32.62 tff(12644,plain,
% 50.00/32.62 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s4, c_owned)) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node63(c_p1, s4))),
% 50.00/32.62 inference(quant_inst,[status(thm)],[])).
% 50.00/32.62 tff(12645,plain,
% 50.00/32.62 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node63(c_p1, s4) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s4, c_owned))),
% 50.00/32.62 inference(modus_ponens,[status(thm)],[12644, 12643])).
% 50.00/32.62 tff(12646,plain,
% 50.00/32.62 (node62(c_p1, s4) | node63(c_p1, s4) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s4, c_owned))),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[12645, 7172, 1432, 6605])).
% 50.00/32.62 tff(12647,plain,
% 50.00/32.62 (~m_processor_v_snoop(c_p1, s4, c_owned)),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[12646, 12639, 12635, 12634])).
% 50.00/32.62 tff(12648,plain,
% 50.00/32.62 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)))),
% 50.00/32.62 inference(rewrite,[status(thm)],[])).
% 50.00/32.62 tff(12649,plain,
% 50.00/32.62 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)))),
% 50.00/32.62 inference(quant_inst,[status(thm)],[])).
% 50.00/32.62 tff(12650,plain,
% 50.00/32.62 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared))),
% 50.00/32.62 inference(modus_ponens,[status(thm)],[12649, 12648])).
% 50.00/32.62 tff(12651,plain,
% 50.00/32.62 (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[12650, 4285, 1620])).
% 50.00/32.62 tff(12652,plain,
% 50.00/32.62 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)))),
% 50.00/32.62 inference(rewrite,[status(thm)],[])).
% 50.00/32.62 tff(12653,plain,
% 50.00/32.62 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)))),
% 50.00/32.62 inference(quant_inst,[status(thm)],[])).
% 50.00/32.62 tff(12654,plain,
% 50.00/32.62 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid))),
% 50.00/32.62 inference(modus_ponens,[status(thm)],[12653, 12652])).
% 50.00/32.62 tff(12655,plain,
% 50.00/32.62 (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[12654, 3630, 1620])).
% 50.00/32.62 tff(12656,assumption,(~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.00/32.62 tff(12657,assumption,(~node64(c_p1, s4)), introduced(assumption)).
% 50.00/32.62 tff(12658,assumption,(~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)), introduced(assumption)).
% 50.00/32.62 tff(12659,assumption,(~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid)), introduced(assumption)).
% 50.00/32.62 tff(12660,assumption,(~m_processor_v_snoop(c_p1, s4, c_shared)), introduced(assumption)).
% 50.00/32.62 tff(12661,plain,
% 50.00/32.62 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p1, s4, c_shared) | (~node65(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p1, s4, c_shared) | (~node65(c_p1, s4)))),
% 50.00/32.62 inference(rewrite,[status(thm)],[])).
% 50.00/32.62 tff(12662,plain,
% 50.00/32.62 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p1, s4, c_shared) | (~node65(c_p1, s4)))),
% 50.00/32.62 inference(quant_inst,[status(thm)],[])).
% 50.00/32.62 tff(12663,plain,
% 50.00/32.62 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p1, s4, c_shared) | (~node65(c_p1, s4))),
% 50.00/32.62 inference(modus_ponens,[status(thm)],[12662, 12661])).
% 50.00/32.62 tff(12664,plain,
% 50.00/32.62 (~node65(c_p1, s4)),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[12663, 4107, 12660])).
% 50.00/32.62 tff(12665,plain,
% 50.00/32.62 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p1, s4, c_owned)) | m_processor_v_cmd(c_p1, s4, c_write_h_invalid) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node64(c_p1, s4) | (~m_processor_v_snoop(c_p1, s4, c_invalid)) | node65(c_p1, s4) | node63(c_p1, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p1, s4, c_owned)) | m_processor_v_cmd(c_p1, s4, c_write_h_invalid) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node64(c_p1, s4) | (~m_processor_v_snoop(c_p1, s4, c_invalid)) | node65(c_p1, s4) | node63(c_p1, s4))),
% 50.00/32.62 inference(rewrite,[status(thm)],[])).
% 50.00/32.62 tff(12666,plain,
% 50.00/32.62 ((m_processor_v_cmd(c_p1, s4, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s4, c_invalid)) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node63(c_p1, s4) | node64(c_p1, s4) | node65(c_p1, s4)) <=> ((~m_processor_v_state(c_p1, s4, c_owned)) | m_processor_v_cmd(c_p1, s4, c_write_h_invalid) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node64(c_p1, s4) | (~m_processor_v_snoop(c_p1, s4, c_invalid)) | node65(c_p1, s4) | node63(c_p1, s4))),
% 50.00/32.62 inference(rewrite,[status(thm)],[])).
% 50.00/32.62 tff(12667,plain,
% 50.00/32.62 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p1, s4, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s4, c_invalid)) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node63(c_p1, s4) | node64(c_p1, s4) | node65(c_p1, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p1, s4, c_owned)) | m_processor_v_cmd(c_p1, s4, c_write_h_invalid) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node64(c_p1, s4) | (~m_processor_v_snoop(c_p1, s4, c_invalid)) | node65(c_p1, s4) | node63(c_p1, s4)))),
% 50.00/32.62 inference(monotonicity,[status(thm)],[12666])).
% 50.00/32.62 tff(12668,plain,
% 50.00/32.62 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p1, s4, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s4, c_invalid)) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node63(c_p1, s4) | node64(c_p1, s4) | node65(c_p1, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p1, s4, c_owned)) | m_processor_v_cmd(c_p1, s4, c_write_h_invalid) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node64(c_p1, s4) | (~m_processor_v_snoop(c_p1, s4, c_invalid)) | node65(c_p1, s4) | node63(c_p1, s4))),
% 50.00/32.62 inference(transitivity,[status(thm)],[12667, 12665])).
% 50.00/32.62 tff(12669,plain,
% 50.00/32.62 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p1, s4, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s4, c_invalid)) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node63(c_p1, s4) | node64(c_p1, s4) | node65(c_p1, s4))),
% 50.00/32.62 inference(quant_inst,[status(thm)],[])).
% 50.00/32.62 tff(12670,plain,
% 50.00/32.62 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p1, s4, c_owned)) | m_processor_v_cmd(c_p1, s4, c_write_h_invalid) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node64(c_p1, s4) | (~m_processor_v_snoop(c_p1, s4, c_invalid)) | node65(c_p1, s4) | node63(c_p1, s4)),
% 50.00/32.62 inference(modus_ponens,[status(thm)],[12669, 12668])).
% 50.00/32.62 tff(12671,plain,
% 50.00/32.62 (m_processor_v_cmd(c_p1, s4, c_write_h_invalid) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node64(c_p1, s4) | (~m_processor_v_snoop(c_p1, s4, c_invalid)) | node65(c_p1, s4) | node63(c_p1, s4)),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[12670, 7232, 6605])).
% 50.00/32.62 tff(12672,plain,
% 50.00/32.62 (~m_processor_v_snoop(c_p1, s4, c_invalid)),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[12671, 1432, 12629, 12657, 12658, 12664, 12633])).
% 50.00/32.62 tff(12673,plain,
% 50.00/32.62 ((~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node63(c_p1, s4) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s4, c_owned))),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[12645, 7172, 6605])).
% 50.00/32.62 tff(12674,plain,
% 50.00/32.62 (~m_processor_v_snoop(c_p1, s4, c_owned)),
% 50.00/32.62 inference(unit_resolution,[status(thm)],[12673, 1432, 12633, 12629, 12659])).
% 50.00/32.62 tff(12675,plain,
% 50.00/32.62 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s4, c_invalid) | m_processor_v_snoop(c_p1, s4, c_shared) | m_processor_v_snoop(c_p1, s4, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p1, s4, c_invalid) | m_processor_v_snoop(c_p1, s4, c_shared) | m_processor_v_snoop(c_p1, s4, c_owned))),
% 50.00/32.62 inference(rewrite,[status(thm)],[])).
% 50.00/32.62 tff(12676,plain,
% 50.00/32.62 ((m_processor_v_snoop(c_p1, s4, c_shared) | m_processor_v_snoop(c_p1, s4, c_owned) | m_processor_v_snoop(c_p1, s4, c_invalid)) <=> (m_processor_v_snoop(c_p1, s4, c_invalid) | m_processor_v_snoop(c_p1, s4, c_shared) | m_processor_v_snoop(c_p1, s4, c_owned))),
% 50.00/32.62 inference(rewrite,[status(thm)],[])).
% 50.00/32.62 tff(12677,plain,
% 50.00/32.62 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s4, c_shared) | m_processor_v_snoop(c_p1, s4, c_owned) | m_processor_v_snoop(c_p1, s4, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s4, c_invalid) | m_processor_v_snoop(c_p1, s4, c_shared) | m_processor_v_snoop(c_p1, s4, c_owned)))),
% 50.00/32.62 inference(monotonicity,[status(thm)],[12676])).
% 50.00/32.62 tff(12678,plain,
% 50.00/32.62 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s4, c_shared) | m_processor_v_snoop(c_p1, s4, c_owned) | m_processor_v_snoop(c_p1, s4, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p1, s4, c_invalid) | m_processor_v_snoop(c_p1, s4, c_shared) | m_processor_v_snoop(c_p1, s4, c_owned))),
% 50.00/32.62 inference(transitivity,[status(thm)],[12677, 12675])).
% 50.00/32.62 tff(12679,plain,
% 50.00/32.62 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s4, c_shared) | m_processor_v_snoop(c_p1, s4, c_owned) | m_processor_v_snoop(c_p1, s4, c_invalid))),
% 50.00/32.63 inference(quant_inst,[status(thm)],[])).
% 50.00/32.63 tff(12680,plain,
% 50.00/32.63 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p1, s4, c_invalid) | m_processor_v_snoop(c_p1, s4, c_shared) | m_processor_v_snoop(c_p1, s4, c_owned)),
% 50.00/32.63 inference(modus_ponens,[status(thm)],[12679, 12678])).
% 50.00/32.63 tff(12681,plain,
% 50.00/32.63 (m_processor_v_snoop(c_p1, s4, c_invalid) | m_processor_v_snoop(c_p1, s4, c_owned)),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[12680, 7213, 12660])).
% 50.00/32.63 tff(12682,plain,
% 50.00/32.63 ($false),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[12681, 12674, 12672])).
% 50.00/32.63 tff(12683,plain,((~m_processor_v_master(c_p1, s4)) | m_processor_v_snoop(c_p1, s4, c_shared) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid) | (~m_processor_v_state(c_p1, s4, c_owned)) | node64(c_p1, s4) | m_processor_v_cmd(c_p1, s4, c_write_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.00/32.63 tff(12684,plain,
% 50.00/32.63 (m_processor_v_snoop(c_p1, s4, c_shared)),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[12683, 1432, 12659, 12658, 12657, 6605])).
% 50.00/32.63 tff(12685,plain,
% 50.00/32.63 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node64(c_p1, s4) | node63(c_p1, s4) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s4, c_shared)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node64(c_p1, s4) | node63(c_p1, s4) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s4, c_shared)))),
% 50.00/32.63 inference(rewrite,[status(thm)],[])).
% 50.00/32.63 tff(12686,plain,
% 50.00/32.63 ((m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s4, c_shared)) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node63(c_p1, s4) | node64(c_p1, s4)) <=> ((~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node64(c_p1, s4) | node63(c_p1, s4) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s4, c_shared)))),
% 50.00/32.63 inference(rewrite,[status(thm)],[])).
% 50.00/32.63 tff(12687,plain,
% 50.00/32.63 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s4, c_shared)) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node63(c_p1, s4) | node64(c_p1, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node64(c_p1, s4) | node63(c_p1, s4) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s4, c_shared))))),
% 50.00/32.63 inference(monotonicity,[status(thm)],[12686])).
% 50.00/32.63 tff(12688,plain,
% 50.00/32.63 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s4, c_shared)) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node63(c_p1, s4) | node64(c_p1, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node64(c_p1, s4) | node63(c_p1, s4) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s4, c_shared)))),
% 50.00/32.63 inference(transitivity,[status(thm)],[12687, 12685])).
% 50.00/32.63 tff(12689,plain,
% 50.00/32.63 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s4, c_shared)) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node63(c_p1, s4) | node64(c_p1, s4))),
% 50.00/32.63 inference(quant_inst,[status(thm)],[])).
% 50.00/32.63 tff(12690,plain,
% 50.00/32.63 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node64(c_p1, s4) | node63(c_p1, s4) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s4, c_shared))),
% 50.00/32.63 inference(modus_ponens,[status(thm)],[12689, 12688])).
% 50.00/32.63 tff(12691,plain,
% 50.00/32.63 ((~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node63(c_p1, s4) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s4, c_shared))),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[12690, 7256, 6605, 12657])).
% 50.00/32.63 tff(12692,plain,
% 50.00/32.63 ($false),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[12691, 12684, 1432, 12629, 12633, 12656])).
% 50.00/32.63 tff(12693,plain,((~m_processor_v_master(c_p1, s4)) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared) | (~m_processor_v_state(c_p1, s4, c_owned)) | node64(c_p1, s4) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_cmd(c_p1, s4, c_write_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.00/32.63 tff(12694,plain,
% 50.00/32.63 (node64(c_p1, s4)),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[12693, 12655, 6605, 1432, 12651, 12639])).
% 50.00/32.63 tff(12695,plain,
% 50.00/32.63 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p1, s4, c_owned) | (~node64(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p1, s4, c_owned) | (~node64(c_p1, s4)))),
% 50.00/32.63 inference(rewrite,[status(thm)],[])).
% 50.00/32.63 tff(12696,plain,
% 50.00/32.63 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p1, s4, c_owned) | (~node64(c_p1, s4)))),
% 50.00/32.63 inference(quant_inst,[status(thm)],[])).
% 50.00/32.63 tff(12697,plain,
% 50.00/32.63 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p1, s4, c_owned) | (~node64(c_p1, s4))),
% 50.00/32.63 inference(modus_ponens,[status(thm)],[12696, 12695])).
% 50.00/32.63 tff(12698,plain,
% 50.00/32.63 ($false),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[12697, 4082, 12694, 12647])).
% 50.00/32.63 tff(12699,plain,((~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node63(c_p1, s4)), inference(lemma,lemma(discharge,[]))).
% 50.00/32.63 tff(12700,plain,
% 50.00/32.63 (~m_processor_v_cmd(c_p1, s4, c_idle)),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[12699, 12633, 1432, 12629, 6605])).
% 50.00/32.63 tff(12701,plain,
% 50.00/32.63 (((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | (m_processor_v_cmd(c_p1, s4, c_idle) | (~node9(s4)))) <=> ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | m_processor_v_cmd(c_p1, s4, c_idle) | (~node9(s4)))),
% 50.00/32.63 inference(rewrite,[status(thm)],[])).
% 50.00/32.63 tff(12702,plain,
% 50.00/32.63 ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | (m_processor_v_cmd(c_p1, s4, c_idle) | (~node9(s4)))),
% 50.00/32.63 inference(quant_inst,[status(thm)],[])).
% 50.00/32.63 tff(12703,plain,
% 50.00/32.63 ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | m_processor_v_cmd(c_p1, s4, c_idle) | (~node9(s4))),
% 50.00/32.63 inference(modus_ponens,[status(thm)],[12702, 12701])).
% 50.00/32.63 tff(12704,plain,
% 50.00/32.63 (~node9(s4)),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[12703, 3443, 12700])).
% 50.00/32.63 tff(12705,assumption,(~node9(s4)), introduced(assumption)).
% 50.00/32.63 tff(12706,assumption,(~node10(s4)), introduced(assumption)).
% 50.00/32.63 tff(12707,plain,
% 50.00/32.63 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s4) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_memory_v_cmd(c_m, s4, c_idle)) | node10(s4))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s4) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_memory_v_cmd(c_m, s4, c_idle)) | node10(s4))),
% 50.00/32.63 inference(rewrite,[status(thm)],[])).
% 50.00/32.63 tff(12708,plain,
% 50.00/32.63 ((node9(s4) | node10(s4) | (~m_memory_v_cmd(c_m, s4, c_idle)) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle))) <=> (node9(s4) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_memory_v_cmd(c_m, s4, c_idle)) | node10(s4))),
% 50.00/32.63 inference(rewrite,[status(thm)],[])).
% 50.00/32.63 tff(12709,plain,
% 50.00/32.63 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s4) | node10(s4) | (~m_memory_v_cmd(c_m, s4, c_idle)) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle)))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s4) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_memory_v_cmd(c_m, s4, c_idle)) | node10(s4)))),
% 50.00/32.63 inference(monotonicity,[status(thm)],[12708])).
% 50.00/32.63 tff(12710,plain,
% 50.00/32.63 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s4) | node10(s4) | (~m_memory_v_cmd(c_m, s4, c_idle)) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle)))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s4) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_memory_v_cmd(c_m, s4, c_idle)) | node10(s4))),
% 50.00/32.63 inference(transitivity,[status(thm)],[12709, 12707])).
% 50.00/32.63 tff(12711,plain,
% 50.00/32.63 ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s4) | node10(s4) | (~m_memory_v_cmd(c_m, s4, c_idle)) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle)))),
% 50.00/32.63 inference(quant_inst,[status(thm)],[])).
% 50.00/32.63 tff(12712,plain,
% 50.00/32.63 ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s4) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_memory_v_cmd(c_m, s4, c_idle)) | node10(s4)),
% 50.00/32.63 inference(modus_ponens,[status(thm)],[12711, 12710])).
% 50.00/32.63 tff(12713,plain,
% 50.00/32.63 ($false),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[12712, 3461, 1964, 1792, 1519, 12706, 12705])).
% 50.00/32.63 tff(12714,plain,(node10(s4) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_memory_v_cmd(c_m, s4, c_idle)) | node9(s4)), inference(lemma,lemma(discharge,[]))).
% 50.00/32.63 tff(12715,plain,
% 50.00/32.63 (node10(s4)),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[12714, 12704, 12625, 12617, 12594])).
% 50.00/32.63 tff(12716,plain,
% 50.00/32.63 ($false),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[11813, 1363, 12478, 11810])).
% 50.00/32.63 tff(12717,plain,((~node60(c_p1, s3)) | (~m_processor_v_REPLY_h_STALL(c_p1, s3))), inference(lemma,lemma(discharge,[]))).
% 50.00/32.63 tff(12718,plain,
% 50.00/32.63 (~m_processor_v_REPLY_h_STALL(c_p1, s3)),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[12717, 11804])).
% 50.00/32.63 tff(12719,plain,
% 50.00/32.63 (~m_main_v_REPLY_h_STALL(s3)),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[11820, 12718])).
% 50.00/32.63 tff(12720,plain,
% 50.00/32.63 (~m_memory_v_REPLY_h_STALL(c_m, s3)),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[12181, 12719])).
% 50.00/32.63 tff(12721,plain,
% 50.00/32.63 (node14(s3)),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[12231, 12268, 12254, 12265, 10791, 12264, 12266])).
% 50.00/32.63 tff(12722,plain,
% 50.00/32.63 (m_main_v_CMD(s3, c_response)),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[12243, 12721, 12263])).
% 50.00/32.63 tff(12723,plain,
% 50.00/32.63 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node43(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node43(c_p1, s3)))),
% 50.00/32.63 inference(rewrite,[status(thm)],[])).
% 50.00/32.63 tff(12724,plain,
% 50.00/32.63 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node43(c_p1, s3)))),
% 50.00/32.63 inference(quant_inst,[status(thm)],[])).
% 50.00/32.63 tff(12725,plain,
% 50.00/32.63 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node43(c_p1, s3))),
% 50.00/32.63 inference(modus_ponens,[status(thm)],[12724, 12723])).
% 50.00/32.63 tff(12726,plain,
% 50.00/32.63 (~node43(c_p1, s3)),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[12725, 8159, 12253])).
% 50.00/32.63 tff(12727,assumption,(~node44(c_p1, s3, s4)), introduced(assumption)).
% 50.00/32.63 tff(12728,plain,
% 50.00/32.63 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node42(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node42(c_p1, s3)))),
% 50.00/32.63 inference(rewrite,[status(thm)],[])).
% 50.00/32.63 tff(12729,plain,
% 50.00/32.63 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | (m_processor_v_master(c_p1, s3) | (~node42(c_p1, s3)))),
% 50.00/32.63 inference(quant_inst,[status(thm)],[])).
% 50.00/32.63 tff(12730,plain,
% 50.00/32.63 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | m_processor_v_master(c_p1, s3) | (~node42(c_p1, s3))),
% 50.00/32.63 inference(modus_ponens,[status(thm)],[12729, 12728])).
% 50.00/32.63 tff(12731,plain,
% 50.00/32.63 (~node42(c_p1, s3)),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[12730, 8170, 12253])).
% 50.00/32.63 tff(12732,assumption,(~node43(c_p1, s3)), introduced(assumption)).
% 50.00/32.63 tff(12733,assumption,(~node42(c_p1, s3)), introduced(assumption)).
% 50.00/32.63 tff(12734,plain,
% 50.00/32.63 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node40(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node40(c_p1, s3)))),
% 50.00/32.63 inference(rewrite,[status(thm)],[])).
% 50.00/32.63 tff(12735,plain,
% 50.00/32.63 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node40(c_p1, s3)))),
% 50.00/32.63 inference(quant_inst,[status(thm)],[])).
% 50.00/32.63 tff(12736,plain,
% 50.00/32.63 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node40(c_p1, s3))),
% 50.00/32.63 inference(modus_ponens,[status(thm)],[12735, 12734])).
% 50.00/32.63 tff(12737,plain,
% 50.00/32.63 (~node40(c_p1, s3)),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[12736, 8367, 10573])).
% 50.00/32.63 tff(12738,plain,
% 50.00/32.63 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node41(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node41(c_p1, s3)))),
% 50.00/32.63 inference(rewrite,[status(thm)],[])).
% 50.00/32.63 tff(12739,plain,
% 50.00/32.63 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node41(c_p1, s3)))),
% 50.00/32.63 inference(quant_inst,[status(thm)],[])).
% 50.00/32.63 tff(12740,plain,
% 50.00/32.63 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~node41(c_p1, s3))),
% 50.00/32.63 inference(modus_ponens,[status(thm)],[12739, 12738])).
% 50.00/32.63 tff(12741,plain,
% 50.00/32.63 (~node41(c_p1, s3)),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[12740, 8378, 10573])).
% 50.00/32.63 tff(12742,plain,
% 50.00/32.63 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s3, s4)) | node45(c_p1, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s3, s4)) | node45(c_p1, s3, s4))),
% 50.00/32.63 inference(rewrite,[status(thm)],[])).
% 50.00/32.63 tff(12743,plain,
% 50.00/32.63 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s3, s4)) | node45(c_p1, s3, s4))),
% 50.00/32.63 inference(quant_inst,[status(thm)],[])).
% 50.00/32.63 tff(12744,plain,
% 50.00/32.63 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s3, s4)) | node45(c_p1, s3, s4)),
% 50.00/32.63 inference(modus_ponens,[status(thm)],[12743, 12742])).
% 50.00/32.63 tff(12745,plain,
% 50.00/32.63 (node45(c_p1, s3, s4)),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[12744, 7503, 6623])).
% 50.00/32.63 tff(12746,plain,
% 50.00/32.63 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p1, s3) | node41(c_p1, s3) | node40(c_p1, s3) | node43(c_p1, s3) | node42(c_p1, s3) | node44(c_p1, s3, s4) | (~node45(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p1, s3) | node41(c_p1, s3) | node40(c_p1, s3) | node43(c_p1, s3) | node42(c_p1, s3) | node44(c_p1, s3, s4) | (~node45(c_p1, s3, s4)))),
% 50.00/32.63 inference(rewrite,[status(thm)],[])).
% 50.00/32.63 tff(12747,plain,
% 50.00/32.63 ((m_processor_v_abort(c_p1, s3) | node40(c_p1, s3) | node41(c_p1, s3) | node42(c_p1, s3) | node43(c_p1, s3) | node44(c_p1, s3, s4) | (~node45(c_p1, s3, s4))) <=> (m_processor_v_abort(c_p1, s3) | node41(c_p1, s3) | node40(c_p1, s3) | node43(c_p1, s3) | node42(c_p1, s3) | node44(c_p1, s3, s4) | (~node45(c_p1, s3, s4)))),
% 50.00/32.63 inference(rewrite,[status(thm)],[])).
% 50.00/32.63 tff(12748,plain,
% 50.00/32.63 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p1, s3) | node40(c_p1, s3) | node41(c_p1, s3) | node42(c_p1, s3) | node43(c_p1, s3) | node44(c_p1, s3, s4) | (~node45(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p1, s3) | node41(c_p1, s3) | node40(c_p1, s3) | node43(c_p1, s3) | node42(c_p1, s3) | node44(c_p1, s3, s4) | (~node45(c_p1, s3, s4))))),
% 50.00/32.63 inference(monotonicity,[status(thm)],[12747])).
% 50.00/32.63 tff(12749,plain,
% 50.00/32.63 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p1, s3) | node40(c_p1, s3) | node41(c_p1, s3) | node42(c_p1, s3) | node43(c_p1, s3) | node44(c_p1, s3, s4) | (~node45(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p1, s3) | node41(c_p1, s3) | node40(c_p1, s3) | node43(c_p1, s3) | node42(c_p1, s3) | node44(c_p1, s3, s4) | (~node45(c_p1, s3, s4)))),
% 50.00/32.63 inference(transitivity,[status(thm)],[12748, 12746])).
% 50.00/32.63 tff(12750,plain,
% 50.00/32.63 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p1, s3) | node40(c_p1, s3) | node41(c_p1, s3) | node42(c_p1, s3) | node43(c_p1, s3) | node44(c_p1, s3, s4) | (~node45(c_p1, s3, s4)))),
% 50.00/32.63 inference(quant_inst,[status(thm)],[])).
% 50.00/32.63 tff(12751,plain,
% 50.00/32.63 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p1, s3) | node41(c_p1, s3) | node40(c_p1, s3) | node43(c_p1, s3) | node42(c_p1, s3) | node44(c_p1, s3, s4) | (~node45(c_p1, s3, s4))),
% 50.00/32.63 inference(modus_ponens,[status(thm)],[12750, 12749])).
% 50.00/32.63 tff(12752,plain,
% 50.00/32.63 (m_processor_v_abort(c_p1, s3) | node41(c_p1, s3) | node40(c_p1, s3) | node43(c_p1, s3) | node42(c_p1, s3) | node44(c_p1, s3, s4)),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[12751, 7596, 12745])).
% 50.00/32.63 tff(12753,plain,
% 50.00/32.63 ($false),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[12752, 12741, 12737, 12727, 6710, 12733, 12732])).
% 50.00/32.63 tff(12754,plain,(m_processor_v_CMD(c_p1, s3, c_read_h_shared) | node44(c_p1, s3, s4) | m_processor_v_abort(c_p1, s3) | node42(c_p1, s3) | node43(c_p1, s3)), inference(lemma,lemma(discharge,[]))).
% 50.00/32.63 tff(12755,plain,
% 50.00/32.63 (m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[12754, 12731, 6710, 12727, 12726])).
% 50.00/32.63 tff(12756,plain,
% 50.00/32.63 (m_main_v_CMD(s3, c_read_h_shared)),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[10595, 12755])).
% 50.00/32.63 tff(12757,plain,
% 50.00/32.63 ($false),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[12247, 8266, 12756, 12722])).
% 50.00/32.63 tff(12758,plain,(m_memory_v_cmd(c_m, s3, c_idle) | m_processor_v_abort(c_p1, s3) | node44(c_p1, s3, s4) | (~m_processor_v_cmd(c_p0, s3, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.00/32.63 tff(12759,plain,
% 50.00/32.63 (node44(c_p1, s3, s4)),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[12758, 6710, 9505, 12252])).
% 50.00/32.63 tff(12760,assumption,(node44(c_p1, s3, s4)), introduced(assumption)).
% 50.00/32.63 tff(12761,assumption,(m_processor_v_snoop(c_p1, s4, c_shared)), introduced(assumption)).
% 50.00/32.63 tff(12762,plain,
% 50.00/32.63 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p1, s3, c_shared) | (~m_processor_v_snoop(c_p1, s4, c_shared)) | (~node44(c_p1, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p1, s3, c_shared) | (~m_processor_v_snoop(c_p1, s4, c_shared)) | (~node44(c_p1, s3, s4)))),
% 50.00/32.63 inference(rewrite,[status(thm)],[])).
% 50.00/32.63 tff(12763,plain,
% 50.00/32.63 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p1, s3, c_shared) | (~m_processor_v_snoop(c_p1, s4, c_shared)) | (~node44(c_p1, s3, s4)))),
% 50.00/32.63 inference(quant_inst,[status(thm)],[])).
% 50.00/32.63 tff(12764,plain,
% 50.00/32.63 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p1, s3, c_shared) | (~m_processor_v_snoop(c_p1, s4, c_shared)) | (~node44(c_p1, s3, s4))),
% 50.00/32.63 inference(modus_ponens,[status(thm)],[12763, 12762])).
% 50.00/32.63 tff(12765,plain,
% 50.00/32.63 ($false),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[12764, 10976, 12761, 12406, 12760])).
% 50.00/32.63 tff(12766,plain,((~m_processor_v_snoop(c_p1, s4, c_shared)) | m_processor_v_snoop(c_p1, s3, c_shared) | (~node44(c_p1, s3, s4))), inference(lemma,lemma(discharge,[]))).
% 50.00/32.63 tff(12767,plain,
% 50.00/32.63 (~m_processor_v_snoop(c_p1, s4, c_shared)),
% 50.00/32.63 inference(unit_resolution,[status(thm)],[12766, 12759, 12406])).
% 50.00/32.63 tff(12768,plain,
% 50.00/32.63 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_master(c_p1, s3) | m_processor_v_abort(c_p1, s3) | m_processor_v_snoop(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | (~node45(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_master(c_p1, s3) | m_processor_v_abort(c_p1, s3) | m_processor_v_snoop(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | (~node45(c_p1, s3, s4)))),
% 50.00/32.64 inference(rewrite,[status(thm)],[])).
% 50.00/32.64 tff(12769,plain,
% 50.00/32.64 (((~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | m_processor_v_master(c_p1, s3) | m_processor_v_abort(c_p1, s3) | (~node45(c_p1, s3, s4)) | m_processor_v_snoop(c_p1, s4, c_shared)) <=> ((~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_master(c_p1, s3) | m_processor_v_abort(c_p1, s3) | m_processor_v_snoop(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | (~node45(c_p1, s3, s4)))),
% 50.00/32.64 inference(rewrite,[status(thm)],[])).
% 50.00/32.64 tff(12770,plain,
% 50.00/32.64 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | m_processor_v_master(c_p1, s3) | m_processor_v_abort(c_p1, s3) | (~node45(c_p1, s3, s4)) | m_processor_v_snoop(c_p1, s4, c_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_master(c_p1, s3) | m_processor_v_abort(c_p1, s3) | m_processor_v_snoop(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | (~node45(c_p1, s3, s4))))),
% 50.00/32.64 inference(monotonicity,[status(thm)],[12769])).
% 50.00/32.64 tff(12771,plain,
% 50.00/32.64 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | m_processor_v_master(c_p1, s3) | m_processor_v_abort(c_p1, s3) | (~node45(c_p1, s3, s4)) | m_processor_v_snoop(c_p1, s4, c_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_master(c_p1, s3) | m_processor_v_abort(c_p1, s3) | m_processor_v_snoop(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | (~node45(c_p1, s3, s4)))),
% 50.00/32.64 inference(transitivity,[status(thm)],[12770, 12768])).
% 50.00/32.64 tff(12772,plain,
% 50.00/32.64 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | m_processor_v_master(c_p1, s3) | m_processor_v_abort(c_p1, s3) | (~node45(c_p1, s3, s4)) | m_processor_v_snoop(c_p1, s4, c_shared))),
% 50.00/32.64 inference(quant_inst,[status(thm)],[])).
% 50.00/32.64 tff(12773,plain,
% 50.00/32.64 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_master(c_p1, s3) | m_processor_v_abort(c_p1, s3) | m_processor_v_snoop(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | (~node45(c_p1, s3, s4))),
% 50.00/32.64 inference(modus_ponens,[status(thm)],[12772, 12771])).
% 50.00/32.64 tff(12774,plain,
% 50.00/32.64 ((~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_master(c_p1, s3) | m_processor_v_abort(c_p1, s3) | m_processor_v_snoop(c_p1, s4, c_shared) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared))),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[12773, 8742, 12745])).
% 50.00/32.64 tff(12775,plain,
% 50.00/32.64 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[12774, 12767, 2595, 12253, 6710])).
% 50.00/32.64 tff(12776,plain,
% 50.00/32.64 (~m_main_v_CMD(s3, c_read_h_shared)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[10585, 12775])).
% 50.00/32.64 tff(12777,plain,
% 50.00/32.64 ($false),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[12324, 12776, 12720, 7332, 9505, 12268])).
% 50.00/32.64 tff(12778,plain,(m_processor_v_abort(c_p1, s3) | (~m_memory_v_busy(c_m, s4)) | m_memory_v_cmd(c_m, s3, c_idle) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_snoop(c_p1, s3, c_shared)), inference(lemma,lemma(discharge,[]))).
% 50.00/32.64 tff(12779,plain,
% 50.00/32.64 (m_processor_v_abort(c_p1, s3)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[12778, 12563, 2595, 12039, 9505])).
% 50.00/32.64 tff(12780,plain,
% 50.00/32.64 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s3)) | (~node45(c_p1, s3, s4)) | node39(c_p1, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p1, s3)) | (~node45(c_p1, s3, s4)) | node39(c_p1, s3, s4))),
% 50.00/32.64 inference(rewrite,[status(thm)],[])).
% 50.00/32.64 tff(12781,plain,
% 50.00/32.64 ((node39(c_p1, s3, s4) | (~m_processor_v_abort(c_p1, s3)) | (~node45(c_p1, s3, s4))) <=> ((~m_processor_v_abort(c_p1, s3)) | (~node45(c_p1, s3, s4)) | node39(c_p1, s3, s4))),
% 50.00/32.64 inference(rewrite,[status(thm)],[])).
% 50.00/32.64 tff(12782,plain,
% 50.00/32.64 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p1, s3, s4) | (~m_processor_v_abort(c_p1, s3)) | (~node45(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s3)) | (~node45(c_p1, s3, s4)) | node39(c_p1, s3, s4)))),
% 50.00/32.64 inference(monotonicity,[status(thm)],[12781])).
% 50.00/32.64 tff(12783,plain,
% 50.00/32.64 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p1, s3, s4) | (~m_processor_v_abort(c_p1, s3)) | (~node45(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p1, s3)) | (~node45(c_p1, s3, s4)) | node39(c_p1, s3, s4))),
% 50.00/32.64 inference(transitivity,[status(thm)],[12782, 12780])).
% 50.00/32.64 tff(12784,plain,
% 50.00/32.64 ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p1, s3, s4) | (~m_processor_v_abort(c_p1, s3)) | (~node45(c_p1, s3, s4)))),
% 50.00/32.64 inference(quant_inst,[status(thm)],[])).
% 50.00/32.64 tff(12785,plain,
% 50.00/32.64 ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p1, s3)) | (~node45(c_p1, s3, s4)) | node39(c_p1, s3, s4)),
% 50.00/32.64 inference(modus_ponens,[status(thm)],[12784, 12783])).
% 50.00/32.64 tff(12786,plain,
% 50.00/32.64 ((~m_processor_v_abort(c_p1, s3)) | node39(c_p1, s3, s4)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[12785, 7518, 12745])).
% 50.00/32.64 tff(12787,plain,
% 50.00/32.64 (node39(c_p1, s3, s4)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[12786, 12779])).
% 50.00/32.64 tff(12788,assumption,(node39(c_p1, s3, s4)), introduced(assumption)).
% 50.00/32.64 tff(12789,assumption,(~m_processor_v_snoop(c_p1, s4, c_invalid)), introduced(assumption)).
% 50.00/32.64 tff(12790,plain,
% 50.00/32.64 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~m_processor_v_snoop(c_p1, s3, c_invalid)) | m_processor_v_snoop(c_p1, s4, c_invalid) | (~node39(c_p1, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | m_processor_v_snoop(c_p1, s4, c_invalid) | (~node39(c_p1, s3, s4)))),
% 50.00/32.64 inference(rewrite,[status(thm)],[])).
% 50.00/32.64 tff(12791,plain,
% 50.00/32.64 (((~node39(c_p1, s3, s4)) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | m_processor_v_snoop(c_p1, s4, c_invalid)) <=> ((~m_processor_v_snoop(c_p1, s3, c_invalid)) | m_processor_v_snoop(c_p1, s4, c_invalid) | (~node39(c_p1, s3, s4)))),
% 50.00/32.64 inference(rewrite,[status(thm)],[])).
% 50.00/32.64 tff(12792,plain,
% 50.00/32.64 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p1, s3, s4)) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | m_processor_v_snoop(c_p1, s4, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~m_processor_v_snoop(c_p1, s3, c_invalid)) | m_processor_v_snoop(c_p1, s4, c_invalid) | (~node39(c_p1, s3, s4))))),
% 50.00/32.64 inference(monotonicity,[status(thm)],[12791])).
% 50.00/32.64 tff(12793,plain,
% 50.00/32.64 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p1, s3, s4)) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | m_processor_v_snoop(c_p1, s4, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | m_processor_v_snoop(c_p1, s4, c_invalid) | (~node39(c_p1, s3, s4)))),
% 50.00/32.64 inference(transitivity,[status(thm)],[12792, 12790])).
% 50.00/32.64 tff(12794,plain,
% 50.00/32.64 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p1, s3, s4)) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | m_processor_v_snoop(c_p1, s4, c_invalid))),
% 50.00/32.64 inference(quant_inst,[status(thm)],[])).
% 50.00/32.64 tff(12795,plain,
% 50.00/32.64 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | m_processor_v_snoop(c_p1, s4, c_invalid) | (~node39(c_p1, s3, s4))),
% 50.00/32.64 inference(modus_ponens,[status(thm)],[12794, 12793])).
% 50.00/32.64 tff(12796,plain,
% 50.00/32.64 ($false),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[12795, 7486, 11796, 12789, 12788])).
% 50.00/32.64 tff(12797,plain,((~node39(c_p1, s3, s4)) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | m_processor_v_snoop(c_p1, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.00/32.64 tff(12798,plain,
% 50.00/32.64 (m_processor_v_snoop(c_p1, s4, c_invalid)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[12797, 12788, 11796])).
% 50.00/32.64 tff(12799,plain,
% 50.00/32.64 (^[V: $i, Y: $i, I0: $i, X: $i] : refl(((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V))) <=> ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V))))),
% 50.00/32.64 inference(bind,[status(th)],[])).
% 50.00/32.64 tff(12800,plain,
% 50.00/32.64 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))),
% 50.00/32.64 inference(quant_intro,[status(thm)],[12799])).
% 50.00/32.64 tff(12801,plain,
% 50.00/32.64 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))),
% 50.00/32.64 inference(rewrite,[status(thm)],[])).
% 50.00/32.64 tff(12802,plain,
% 50.00/32.64 (^[V: $i, Y: $i, I0: $i, X: $i] : rewrite((((~m_processor_v_snoop(I0, Y, V)) | m_processor_v_snoop(I0, X, V)) | (~node39(I0, X, Y))) <=> ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V))))),
% 50.00/32.64 inference(bind,[status(th)],[])).
% 50.00/32.64 tff(12803,plain,
% 50.00/32.64 (![V: $i, Y: $i, I0: $i, X: $i] : (((~m_processor_v_snoop(I0, Y, V)) | m_processor_v_snoop(I0, X, V)) | (~node39(I0, X, Y))) <=> ![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))),
% 50.00/32.64 inference(quant_intro,[status(thm)],[12802])).
% 50.00/32.64 tff(12804,axiom,(![V: $i, Y: $i, I0: $i, X: $i] : (((~m_processor_v_snoop(I0, Y, V)) | m_processor_v_snoop(I0, X, V)) | (~node39(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_74')).
% 50.00/32.64 tff(12805,plain,
% 50.00/32.64 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))),
% 50.00/32.64 inference(modus_ponens,[status(thm)],[12804, 12803])).
% 50.00/32.64 tff(12806,plain,
% 50.00/32.64 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))),
% 50.00/32.64 inference(modus_ponens,[status(thm)],[12805, 12801])).
% 50.00/32.64 tff(12807,plain,(
% 50.00/32.64 ![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))),
% 50.00/32.64 inference(skolemize,[status(sab)],[12806])).
% 50.00/32.64 tff(12808,plain,
% 50.00/32.64 (![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))),
% 50.00/32.64 inference(modus_ponens,[status(thm)],[12807, 12800])).
% 50.00/32.64 tff(12809,plain,
% 50.00/32.64 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | (m_processor_v_snoop(c_p1, s3, c_owned) | (~m_processor_v_snoop(c_p1, s4, c_owned)) | (~node39(c_p1, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | m_processor_v_snoop(c_p1, s3, c_owned) | (~m_processor_v_snoop(c_p1, s4, c_owned)) | (~node39(c_p1, s3, s4)))),
% 50.00/32.64 inference(rewrite,[status(thm)],[])).
% 50.00/32.64 tff(12810,plain,
% 50.00/32.64 (((~node39(c_p1, s3, s4)) | m_processor_v_snoop(c_p1, s3, c_owned) | (~m_processor_v_snoop(c_p1, s4, c_owned))) <=> (m_processor_v_snoop(c_p1, s3, c_owned) | (~m_processor_v_snoop(c_p1, s4, c_owned)) | (~node39(c_p1, s3, s4)))),
% 50.00/32.64 inference(rewrite,[status(thm)],[])).
% 50.00/32.64 tff(12811,plain,
% 50.00/32.64 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | ((~node39(c_p1, s3, s4)) | m_processor_v_snoop(c_p1, s3, c_owned) | (~m_processor_v_snoop(c_p1, s4, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | (m_processor_v_snoop(c_p1, s3, c_owned) | (~m_processor_v_snoop(c_p1, s4, c_owned)) | (~node39(c_p1, s3, s4))))),
% 50.00/32.64 inference(monotonicity,[status(thm)],[12810])).
% 50.00/32.64 tff(12812,plain,
% 50.00/32.64 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | ((~node39(c_p1, s3, s4)) | m_processor_v_snoop(c_p1, s3, c_owned) | (~m_processor_v_snoop(c_p1, s4, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | m_processor_v_snoop(c_p1, s3, c_owned) | (~m_processor_v_snoop(c_p1, s4, c_owned)) | (~node39(c_p1, s3, s4)))),
% 50.00/32.64 inference(transitivity,[status(thm)],[12811, 12809])).
% 50.00/32.64 tff(12813,plain,
% 50.00/32.64 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | ((~node39(c_p1, s3, s4)) | m_processor_v_snoop(c_p1, s3, c_owned) | (~m_processor_v_snoop(c_p1, s4, c_owned)))),
% 50.00/32.64 inference(quant_inst,[status(thm)],[])).
% 50.00/32.64 tff(12814,plain,
% 50.00/32.64 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | m_processor_v_snoop(c_p1, s3, c_owned) | (~m_processor_v_snoop(c_p1, s4, c_owned)) | (~node39(c_p1, s3, s4))),
% 50.00/32.64 inference(modus_ponens,[status(thm)],[12813, 12812])).
% 50.00/32.64 tff(12815,plain,
% 50.00/32.64 (~m_processor_v_snoop(c_p1, s4, c_owned)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[12814, 12808, 12044, 12788])).
% 50.00/32.64 tff(12816,plain,
% 50.00/32.64 (~node64(c_p1, s4)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[12697, 4082, 12815])).
% 50.00/32.64 tff(12817,plain,
% 50.00/32.64 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | (m_processor_v_snoop(c_p1, s3, c_shared) | (~m_processor_v_snoop(c_p1, s4, c_shared)) | (~node39(c_p1, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | m_processor_v_snoop(c_p1, s3, c_shared) | (~m_processor_v_snoop(c_p1, s4, c_shared)) | (~node39(c_p1, s3, s4)))),
% 50.00/32.64 inference(rewrite,[status(thm)],[])).
% 50.00/32.64 tff(12818,plain,
% 50.00/32.64 (((~node39(c_p1, s3, s4)) | m_processor_v_snoop(c_p1, s3, c_shared) | (~m_processor_v_snoop(c_p1, s4, c_shared))) <=> (m_processor_v_snoop(c_p1, s3, c_shared) | (~m_processor_v_snoop(c_p1, s4, c_shared)) | (~node39(c_p1, s3, s4)))),
% 50.00/32.64 inference(rewrite,[status(thm)],[])).
% 50.00/32.64 tff(12819,plain,
% 50.00/32.64 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | ((~node39(c_p1, s3, s4)) | m_processor_v_snoop(c_p1, s3, c_shared) | (~m_processor_v_snoop(c_p1, s4, c_shared)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | (m_processor_v_snoop(c_p1, s3, c_shared) | (~m_processor_v_snoop(c_p1, s4, c_shared)) | (~node39(c_p1, s3, s4))))),
% 50.00/32.64 inference(monotonicity,[status(thm)],[12818])).
% 50.00/32.64 tff(12820,plain,
% 50.00/32.64 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | ((~node39(c_p1, s3, s4)) | m_processor_v_snoop(c_p1, s3, c_shared) | (~m_processor_v_snoop(c_p1, s4, c_shared)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | m_processor_v_snoop(c_p1, s3, c_shared) | (~m_processor_v_snoop(c_p1, s4, c_shared)) | (~node39(c_p1, s3, s4)))),
% 50.00/32.64 inference(transitivity,[status(thm)],[12819, 12817])).
% 50.00/32.64 tff(12821,plain,
% 50.00/32.64 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | ((~node39(c_p1, s3, s4)) | m_processor_v_snoop(c_p1, s3, c_shared) | (~m_processor_v_snoop(c_p1, s4, c_shared)))),
% 50.00/32.64 inference(quant_inst,[status(thm)],[])).
% 50.00/32.64 tff(12822,plain,
% 50.00/32.64 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | m_processor_v_snoop(c_p1, s3, c_shared) | (~m_processor_v_snoop(c_p1, s4, c_shared)) | (~node39(c_p1, s3, s4))),
% 50.00/32.64 inference(modus_ponens,[status(thm)],[12821, 12820])).
% 50.00/32.64 tff(12823,plain,
% 50.00/32.64 (~m_processor_v_snoop(c_p1, s4, c_shared)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[12822, 12808, 12039, 12788])).
% 50.00/32.64 tff(12824,plain,
% 50.00/32.64 (~node65(c_p1, s4)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[12663, 4107, 12823])).
% 50.00/32.64 tff(12825,plain,
% 50.00/32.64 (m_processor_v_cmd(c_p1, s4, c_write_h_invalid) | node62(c_p1, s4) | node64(c_p1, s4) | (~m_processor_v_snoop(c_p1, s4, c_invalid)) | node65(c_p1, s4) | node63(c_p1, s4)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[12670, 7232, 1432, 6605])).
% 50.00/32.64 tff(12826,plain,
% 50.00/32.64 ($false),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[12825, 12824, 12816, 12633, 12629, 12658, 12798])).
% 50.00/32.64 tff(12827,plain,((~node39(c_p1, s3, s4)) | m_processor_v_cmd(c_p1, s4, c_write_h_invalid) | (~m_processor_v_master(c_p1, s4)) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_snoop(c_p1, s3, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 50.00/32.64 tff(12828,plain,
% 50.00/32.64 (m_processor_v_cmd(c_p1, s4, c_write_h_invalid)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[12827, 12787, 6605, 1432, 11796])).
% 50.00/32.64 tff(12829,plain,
% 50.00/32.64 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s4)) | m_main_v_CMD(s4, c_write_h_invalid) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s4)) | m_main_v_CMD(s4, c_write_h_invalid) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)))),
% 50.00/32.64 inference(rewrite,[status(thm)],[])).
% 50.00/32.64 tff(12830,plain,
% 50.00/32.64 ((m_main_v_CMD(s4, c_write_h_invalid) | (~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid))) <=> ((~node10(s4)) | m_main_v_CMD(s4, c_write_h_invalid) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)))),
% 50.00/32.64 inference(rewrite,[status(thm)],[])).
% 50.00/32.64 tff(12831,plain,
% 50.00/32.64 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s4, c_write_h_invalid) | (~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s4)) | m_main_v_CMD(s4, c_write_h_invalid) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid))))),
% 50.00/32.64 inference(monotonicity,[status(thm)],[12830])).
% 50.00/32.64 tff(12832,plain,
% 50.00/32.64 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s4, c_write_h_invalid) | (~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s4)) | m_main_v_CMD(s4, c_write_h_invalid) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)))),
% 50.00/32.64 inference(transitivity,[status(thm)],[12831, 12829])).
% 50.00/32.64 tff(12833,plain,
% 50.00/32.64 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s4, c_write_h_invalid) | (~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)))),
% 50.00/32.64 inference(quant_inst,[status(thm)],[])).
% 50.00/32.64 tff(12834,plain,
% 50.00/32.64 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s4)) | m_main_v_CMD(s4, c_write_h_invalid) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid))),
% 50.00/32.64 inference(modus_ponens,[status(thm)],[12833, 12832])).
% 50.00/32.64 tff(12835,plain,
% 50.00/32.64 ($false),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[12834, 3481, 12828, 12715, 12590])).
% 50.00/32.64 tff(12836,plain,(m_memory_v_cmd(c_m, s3, c_idle) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_memory_v_reply_h_stall(c_m, s4) | (~m_processor_v_state(c_p0, s4, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.00/32.64 tff(12837,plain,
% 50.00/32.64 (m_memory_v_cmd(c_m, s3, c_idle)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[12836, 6605, 1432, 11796, 2595, 12562, 1752])).
% 50.00/32.64 tff(12838,plain,
% 50.00/32.64 (m_processor_v_cmd(c_p1, s3, c_idle)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[10803, 6710, 6606, 6709, 12837, 6822])).
% 50.00/32.64 tff(12839,plain,
% 50.00/32.64 (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[12098, 3630, 12838])).
% 50.00/32.64 tff(12840,plain,
% 50.00/32.64 (~m_processor_v_state(c_p0, s2, c_invalid)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[11716, 12838, 12837, 6880, 9374, 9843, 9824, 56])).
% 50.00/32.64 tff(12841,plain,
% 50.00/32.64 (m_processor_v_state(c_p1, s2, c_invalid)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[5074, 12840])).
% 50.00/32.64 tff(12842,plain,
% 50.00/32.64 (~m_processor_v_state(c_p1, s2, c_shared)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[5081, 12841])).
% 50.00/32.64 tff(12843,plain,
% 50.00/32.64 (~m_processor_v_state(c_p1, s2, c_owned)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[5490, 12841])).
% 50.00/32.64 tff(12844,plain,
% 50.00/32.64 (m_main_v_CMD(s2, c_read_h_owned)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[5372, 12841, 2595])).
% 50.00/32.64 tff(12845,plain,
% 50.00/32.64 (~m_main_v_CMD(s2, c_read_h_shared)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[8797, 12844])).
% 50.00/32.64 tff(12846,plain,
% 50.00/32.64 (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[8791, 12845])).
% 50.00/32.64 tff(12847,plain,
% 50.00/32.64 (~m_processor_v_state(c_p1, s3, c_shared)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[11791, 12846, 12843, 12842])).
% 50.00/32.64 tff(12848,plain,
% 50.00/32.64 (~node63(c_p1, s3)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[10643, 1809, 12847])).
% 50.00/32.64 tff(12849,plain,
% 50.00/32.64 (m_memory_v_busy(c_m, s4)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[12333, 6710, 2595, 6709, 11796, 1752, 6606, 56, 6822])).
% 50.00/32.64 tff(12850,plain,
% 50.00/32.64 (node30(c_m, s4)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[12569, 12849, 12562])).
% 50.00/32.64 tff(12851,assumption,(m_memory_v_CMD(c_m, s4, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.00/32.64 tff(12852,plain,
% 50.00/32.64 (((~![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node30(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (~node30(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_write_h_resp_h_shared)))),
% 50.00/32.64 inference(rewrite,[status(thm)],[])).
% 50.00/32.64 tff(12853,plain,
% 50.00/32.64 ((~![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node30(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_write_h_resp_h_shared)))),
% 50.00/32.64 inference(quant_inst,[status(thm)],[])).
% 50.00/32.64 tff(12854,plain,
% 50.00/32.64 ((~![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (~node30(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_write_h_resp_h_shared))),
% 50.00/32.64 inference(modus_ponens,[status(thm)],[12853, 12852])).
% 50.00/32.64 tff(12855,plain,
% 50.00/32.64 ($false),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[12854, 6944, 12851, 12571])).
% 50.00/32.64 tff(12856,plain,((~node30(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_write_h_resp_h_shared))), inference(lemma,lemma(discharge,[]))).
% 50.00/32.64 tff(12857,plain,
% 50.00/32.64 (~m_memory_v_CMD(c_m, s4, c_write_h_resp_h_shared)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[12856, 12850])).
% 50.00/32.64 tff(12858,assumption,(~m_memory_v_CMD(c_m, s4, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.00/32.64 tff(12859,assumption,(m_main_v_CMD(s4, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.00/32.64 tff(12860,plain,
% 50.00/32.64 (((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s4)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | m_memory_v_CMD(c_m, s4, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s4)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | m_memory_v_CMD(c_m, s4, c_write_h_resp_h_shared))),
% 50.00/32.64 inference(rewrite,[status(thm)],[])).
% 50.00/32.64 tff(12861,plain,
% 50.00/32.64 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s4)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | m_memory_v_CMD(c_m, s4, c_write_h_resp_h_shared))),
% 50.00/32.64 inference(quant_inst,[status(thm)],[])).
% 50.00/32.64 tff(12862,plain,
% 50.00/32.64 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s4)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | m_memory_v_CMD(c_m, s4, c_write_h_resp_h_shared)),
% 50.00/32.64 inference(modus_ponens,[status(thm)],[12861, 12860])).
% 50.00/32.64 tff(12863,plain,
% 50.00/32.64 ($false),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[12862, 4207, 12584, 12859, 12858])).
% 50.00/32.64 tff(12864,plain,((~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | m_memory_v_CMD(c_m, s4, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.00/32.64 tff(12865,plain,
% 50.00/32.64 (~m_main_v_CMD(s4, c_write_h_resp_h_shared)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[12864, 12857])).
% 50.00/32.64 tff(12866,plain,
% 50.00/32.64 (~m_memory_v_CMD(c_m, s4, c_write_h_invalid)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[12577, 12850])).
% 50.00/32.64 tff(12867,plain,
% 50.00/32.64 (~m_main_v_CMD(s4, c_write_h_invalid)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[12589, 12866])).
% 50.00/32.64 tff(12868,plain,
% 50.00/32.64 (~m_processor_v_cmd(c_p1, s4, c_idle)),
% 50.00/32.64 inference(unit_resolution,[status(thm)],[12699, 1432, 12635, 6605, 12634])).
% 50.00/32.64 tff(12869,assumption,(node10(s4)), introduced(assumption)).
% 50.00/32.64 tff(12870,assumption,(~m_main_v_CMD(s4, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.00/32.64 tff(12871,assumption,(m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.00/32.64 tff(12872,plain,
% 50.00/32.64 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)) | m_main_v_CMD(s4, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)) | m_main_v_CMD(s4, c_write_h_resp_h_shared))),
% 50.00/32.65 inference(rewrite,[status(thm)],[])).
% 50.00/32.65 tff(12873,plain,
% 50.00/32.65 ((m_main_v_CMD(s4, c_write_h_resp_h_shared) | (~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared))) <=> ((~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)) | m_main_v_CMD(s4, c_write_h_resp_h_shared))),
% 50.00/32.65 inference(rewrite,[status(thm)],[])).
% 50.00/32.65 tff(12874,plain,
% 50.00/32.65 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s4, c_write_h_resp_h_shared) | (~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)) | m_main_v_CMD(s4, c_write_h_resp_h_shared)))),
% 50.00/32.65 inference(monotonicity,[status(thm)],[12873])).
% 50.00/32.65 tff(12875,plain,
% 50.00/32.65 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s4, c_write_h_resp_h_shared) | (~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)) | m_main_v_CMD(s4, c_write_h_resp_h_shared))),
% 50.00/32.65 inference(transitivity,[status(thm)],[12874, 12872])).
% 50.00/32.65 tff(12876,plain,
% 50.00/32.65 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s4, c_write_h_resp_h_shared) | (~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)))),
% 50.00/32.65 inference(quant_inst,[status(thm)],[])).
% 50.00/32.65 tff(12877,plain,
% 50.00/32.65 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)) | m_main_v_CMD(s4, c_write_h_resp_h_shared)),
% 50.00/32.65 inference(modus_ponens,[status(thm)],[12876, 12875])).
% 50.00/32.65 tff(12878,plain,
% 50.00/32.65 ($false),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12877, 3481, 12871, 12869, 12870])).
% 50.00/32.65 tff(12879,plain,((~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)) | (~node10(s4)) | m_main_v_CMD(s4, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.00/32.65 tff(12880,plain,
% 50.00/32.65 (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12879, 12870, 12869])).
% 50.00/32.65 tff(12881,plain,
% 50.00/32.65 (m_processor_v_master(c_p1, s4)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[1517, 1498])).
% 50.00/32.65 tff(12882,plain,
% 50.00/32.65 ((~m_processor_v_state(c_p1, s4, c_owned)) | node62(c_p1, s4) | node64(c_p1, s4) | node63(c_p1, s4) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s4, c_shared))),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12690, 7256, 12881])).
% 50.00/32.65 tff(12883,plain,
% 50.00/32.65 (~m_processor_v_snoop(c_p1, s4, c_shared)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12882, 12657, 6605, 12656, 12634, 12635])).
% 50.00/32.65 tff(12884,plain,
% 50.00/32.65 (~node65(c_p1, s4)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12663, 4107, 12883])).
% 50.00/32.65 tff(12885,plain,
% 50.00/32.65 (node66(c_p1, s4)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[1515, 12884, 12635, 12634, 12657])).
% 50.00/32.65 tff(12886,plain,
% 50.00/32.65 ((~m_processor_v_state(c_p1, s4, c_owned)) | m_processor_v_cmd(c_p1, s4, c_write_h_invalid) | node62(c_p1, s4) | node64(c_p1, s4) | (~m_processor_v_snoop(c_p1, s4, c_invalid)) | node65(c_p1, s4) | node63(c_p1, s4)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12670, 7232, 12881])).
% 50.00/32.65 tff(12887,plain,
% 50.00/32.65 (~m_processor_v_snoop(c_p1, s4, c_invalid)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12886, 12884, 6605, 12634, 12635, 12658, 12657])).
% 50.00/32.65 tff(12888,plain,
% 50.00/32.65 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | (m_processor_v_snoop(c_p1, s4, c_invalid) | (~node66(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | m_processor_v_snoop(c_p1, s4, c_invalid) | (~node66(c_p1, s4)))),
% 50.00/32.65 inference(rewrite,[status(thm)],[])).
% 50.00/32.65 tff(12889,plain,
% 50.00/32.65 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | (m_processor_v_snoop(c_p1, s4, c_invalid) | (~node66(c_p1, s4)))),
% 50.00/32.65 inference(quant_inst,[status(thm)],[])).
% 50.00/32.65 tff(12890,plain,
% 50.00/32.65 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | m_processor_v_snoop(c_p1, s4, c_invalid) | (~node66(c_p1, s4))),
% 50.00/32.65 inference(modus_ponens,[status(thm)],[12889, 12888])).
% 50.00/32.65 tff(12891,plain,
% 50.00/32.65 ($false),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12890, 9118, 12887, 12885])).
% 50.00/32.65 tff(12892,plain,(node64(c_p1, s4) | (~m_processor_v_state(c_p1, s4, c_owned)) | node63(c_p1, s4) | node62(c_p1, s4) | m_processor_v_cmd(c_p1, s4, c_write_h_invalid) | m_processor_v_cmd(c_p1, s4, c_idle) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.00/32.65 tff(12893,plain,
% 50.00/32.65 (m_processor_v_cmd(c_p1, s4, c_write_h_invalid)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12892, 12880, 6605, 12634, 12635, 12868, 12657])).
% 50.00/32.65 tff(12894,assumption,(~m_main_v_CMD(s4, c_write_h_invalid)), introduced(assumption)).
% 50.00/32.65 tff(12895,assumption,(~m_main_v_CMD(s4, c_write_h_resp_h_invalid)), introduced(assumption)).
% 50.00/32.65 tff(12896,plain,
% 50.00/32.65 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s4)) | m_main_v_CMD(s4, c_write_h_resp_h_invalid) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s4)) | m_main_v_CMD(s4, c_write_h_resp_h_invalid) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid)))),
% 50.00/32.65 inference(rewrite,[status(thm)],[])).
% 50.00/32.65 tff(12897,plain,
% 50.00/32.65 ((m_main_v_CMD(s4, c_write_h_resp_h_invalid) | (~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid))) <=> ((~node10(s4)) | m_main_v_CMD(s4, c_write_h_resp_h_invalid) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid)))),
% 50.00/32.65 inference(rewrite,[status(thm)],[])).
% 50.00/32.65 tff(12898,plain,
% 50.00/32.65 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s4, c_write_h_resp_h_invalid) | (~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s4)) | m_main_v_CMD(s4, c_write_h_resp_h_invalid) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid))))),
% 50.00/32.65 inference(monotonicity,[status(thm)],[12897])).
% 50.00/32.65 tff(12899,plain,
% 50.00/32.65 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s4, c_write_h_resp_h_invalid) | (~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s4)) | m_main_v_CMD(s4, c_write_h_resp_h_invalid) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid)))),
% 50.00/32.65 inference(transitivity,[status(thm)],[12898, 12896])).
% 50.00/32.65 tff(12900,plain,
% 50.00/32.65 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s4, c_write_h_resp_h_invalid) | (~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid)))),
% 50.00/32.65 inference(quant_inst,[status(thm)],[])).
% 50.00/32.65 tff(12901,plain,
% 50.00/32.65 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s4)) | m_main_v_CMD(s4, c_write_h_resp_h_invalid) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid))),
% 50.00/32.65 inference(modus_ponens,[status(thm)],[12900, 12899])).
% 50.00/32.65 tff(12902,plain,
% 50.00/32.65 ((~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid))),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12901, 3481, 12895])).
% 50.00/32.65 tff(12903,plain,
% 50.00/32.65 (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12902, 12869])).
% 50.00/32.65 tff(12904,plain,
% 50.00/32.65 (~m_processor_v_snoop(c_p1, s4, c_owned)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12646, 12903, 12635, 12634])).
% 50.00/32.65 tff(12905,plain,
% 50.00/32.65 (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12879, 12869, 12870])).
% 50.00/32.65 tff(12906,plain,
% 50.00/32.65 ((~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid))),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12834, 3481, 12894])).
% 50.00/32.65 tff(12907,plain,
% 50.00/32.65 (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12906, 12869])).
% 50.00/32.65 tff(12908,plain,
% 50.00/32.65 (node64(c_p1, s4)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12693, 12907, 6605, 1432, 12905, 12903])).
% 50.00/32.65 tff(12909,plain,
% 50.00/32.65 ($false),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12697, 4082, 12908, 12904])).
% 50.00/32.65 tff(12910,plain,((~node10(s4)) | node62(c_p1, s4) | node63(c_p1, s4) | (~m_processor_v_master(c_p1, s4)) | (~m_processor_v_state(c_p1, s4, c_owned)) | m_main_v_CMD(s4, c_write_h_resp_h_invalid) | m_main_v_CMD(s4, c_write_h_invalid) | m_main_v_CMD(s4, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.00/32.65 tff(12911,plain,
% 50.00/32.65 (node63(c_p1, s4)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12910, 6605, 12895, 12870, 1432, 12635, 12869, 12894])).
% 50.00/32.65 tff(12912,plain,
% 50.00/32.65 ($false),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12632, 1809, 12911, 6822])).
% 50.00/32.65 tff(12913,plain,((~m_processor_v_state(c_p1, s4, c_owned)) | m_main_v_CMD(s4, c_write_h_resp_h_invalid) | m_main_v_CMD(s4, c_write_h_resp_h_shared) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | (~node10(s4)) | m_main_v_CMD(s4, c_write_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.00/32.65 tff(12914,plain,
% 50.00/32.65 (m_main_v_CMD(s4, c_write_h_resp_h_invalid)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12913, 12870, 6605, 1432, 12869, 12635, 12894])).
% 50.00/32.65 tff(12915,plain,
% 50.00/32.65 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid) | (~node10(s4)) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid) | (~node10(s4)) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)))),
% 50.00/32.65 inference(rewrite,[status(thm)],[])).
% 50.00/32.65 tff(12916,plain,
% 50.00/32.65 (((~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid)) <=> (m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid) | (~node10(s4)) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)))),
% 50.00/32.65 inference(rewrite,[status(thm)],[])).
% 50.00/32.65 tff(12917,plain,
% 50.00/32.65 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid) | (~node10(s4)) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid))))),
% 50.00/32.65 inference(monotonicity,[status(thm)],[12916])).
% 50.00/32.65 tff(12918,plain,
% 50.00/32.65 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid) | (~node10(s4)) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)))),
% 50.00/32.65 inference(transitivity,[status(thm)],[12917, 12915])).
% 50.00/32.65 tff(12919,plain,
% 50.00/32.65 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid))),
% 50.00/32.65 inference(quant_inst,[status(thm)],[])).
% 50.00/32.65 tff(12920,plain,
% 50.00/32.65 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid) | (~node10(s4)) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid))),
% 50.00/32.65 inference(modus_ponens,[status(thm)],[12919, 12918])).
% 50.00/32.65 tff(12921,plain,
% 50.00/32.65 (m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12920, 3512, 12914, 12869])).
% 50.00/32.65 tff(12922,plain,
% 50.00/32.65 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid)))),
% 50.00/32.65 inference(rewrite,[status(thm)],[])).
% 50.00/32.65 tff(12923,plain,
% 50.00/32.65 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid)))),
% 50.00/32.65 inference(quant_inst,[status(thm)],[])).
% 50.00/32.65 tff(12924,plain,
% 50.00/32.65 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid))),
% 50.00/32.65 inference(modus_ponens,[status(thm)],[12923, 12922])).
% 50.00/32.65 tff(12925,plain,
% 50.00/32.65 ($false),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12924, 10666, 12921, 12893])).
% 50.00/32.65 tff(12926,plain,(m_main_v_CMD(s4, c_write_h_resp_h_shared) | (~node10(s4)) | (~m_processor_v_state(c_p1, s4, c_owned)) | node63(c_p1, s4) | node62(c_p1, s4) | node64(c_p1, s4) | (~m_processor_v_master(c_p1, s4)) | m_main_v_CMD(s4, c_write_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.00/32.65 tff(12927,plain,
% 50.00/32.65 (node64(c_p1, s4)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12926, 12867, 6605, 1432, 12633, 12865, 12629, 12715])).
% 50.00/32.65 tff(12928,plain,
% 50.00/32.65 (m_processor_v_snoop(c_p1, s4, c_owned)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12697, 4082, 12927])).
% 50.00/32.65 tff(12929,assumption,(m_processor_v_snoop(c_p1, s4, c_owned)), introduced(assumption)).
% 50.00/32.65 tff(12930,plain,
% 50.00/32.65 (~node43(c_p1, s3)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12725, 8159, 6607])).
% 50.00/32.65 tff(12931,plain,
% 50.00/32.65 (~node42(c_p1, s3)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12730, 8170, 6607])).
% 50.00/32.65 tff(12932,plain,
% 50.00/32.65 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p1, s3, c_owned) | (~m_processor_v_snoop(c_p1, s4, c_owned)) | (~node44(c_p1, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p1, s3, c_owned) | (~m_processor_v_snoop(c_p1, s4, c_owned)) | (~node44(c_p1, s3, s4)))),
% 50.00/32.65 inference(rewrite,[status(thm)],[])).
% 50.00/32.65 tff(12933,plain,
% 50.00/32.65 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p1, s3, c_owned) | (~m_processor_v_snoop(c_p1, s4, c_owned)) | (~node44(c_p1, s3, s4)))),
% 50.00/32.65 inference(quant_inst,[status(thm)],[])).
% 50.00/32.65 tff(12934,plain,
% 50.00/32.65 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p1, s3, c_owned) | (~m_processor_v_snoop(c_p1, s4, c_owned)) | (~node44(c_p1, s3, s4))),
% 50.00/32.65 inference(modus_ponens,[status(thm)],[12933, 12932])).
% 50.00/32.65 tff(12935,plain,
% 50.00/32.65 ($false),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12934, 10976, 10736, 12929, 12760])).
% 50.00/32.65 tff(12936,plain,((~m_processor_v_snoop(c_p1, s4, c_owned)) | m_processor_v_snoop(c_p1, s3, c_owned) | (~node44(c_p1, s3, s4))), inference(lemma,lemma(discharge,[]))).
% 50.00/32.65 tff(12937,plain,
% 50.00/32.65 (~node44(c_p1, s3, s4)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12936, 12929, 10736])).
% 50.00/32.65 tff(12938,plain,
% 50.00/32.65 (m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12754, 12937, 6710, 12931, 12930])).
% 50.00/32.65 tff(12939,plain,
% 50.00/32.65 (m_processor_v_snoop(c_p1, s4, c_shared)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12774, 12938, 2595, 6710, 6607])).
% 50.00/32.65 tff(12940,plain,
% 50.00/32.65 (((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p1, s4, c_owned)) | (~m_processor_v_snoop(c_p1, s4, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p1, s4, c_owned)) | (~m_processor_v_snoop(c_p1, s4, c_shared)))),
% 50.00/32.65 inference(rewrite,[status(thm)],[])).
% 50.00/32.65 tff(12941,plain,
% 50.00/32.65 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p1, s4, c_owned)) | (~m_processor_v_snoop(c_p1, s4, c_shared)))),
% 50.00/32.65 inference(quant_inst,[status(thm)],[])).
% 50.00/32.65 tff(12942,plain,
% 50.00/32.65 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p1, s4, c_owned)) | (~m_processor_v_snoop(c_p1, s4, c_shared))),
% 50.00/32.65 inference(modus_ponens,[status(thm)],[12941, 12940])).
% 50.00/32.65 tff(12943,plain,
% 50.00/32.65 ($false),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12942, 8775, 12939, 12929])).
% 50.00/32.65 tff(12944,plain,((~m_processor_v_snoop(c_p1, s4, c_owned)) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_abort(c_p1, s3) | m_processor_v_master(c_p1, s3) | m_processor_v_snoop(c_p1, s3, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.00/32.65 tff(12945,plain,
% 50.00/32.65 (m_processor_v_master(c_p1, s3)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12944, 12928, 2595, 12044, 6710])).
% 50.00/32.65 tff(12946,plain,
% 50.00/32.65 (node63(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | node62(c_p1, s3) | node65(c_p1, s3) | node64(c_p1, s3)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[10756, 7232, 2595, 11796])).
% 50.00/32.65 tff(12947,plain,
% 50.00/32.65 (node62(c_p1, s3)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12946, 12945, 12848, 12040, 12045, 12839])).
% 50.00/32.65 tff(12948,plain,
% 50.00/32.65 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)))),
% 50.00/32.65 inference(rewrite,[status(thm)],[])).
% 50.00/32.65 tff(12949,plain,
% 50.00/32.65 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)))),
% 50.00/32.65 inference(quant_inst,[status(thm)],[])).
% 50.00/32.65 tff(12950,plain,
% 50.00/32.65 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned))),
% 50.00/32.65 inference(modus_ponens,[status(thm)],[12949, 12948])).
% 50.00/32.65 tff(12951,plain,
% 50.00/32.65 (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12950, 3189, 9596])).
% 50.00/32.65 tff(12952,plain,
% 50.00/32.65 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_read_h_shared)))),
% 50.00/32.65 inference(rewrite,[status(thm)],[])).
% 50.00/32.65 tff(12953,plain,
% 50.00/32.65 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_read_h_shared)))),
% 50.00/32.65 inference(quant_inst,[status(thm)],[])).
% 50.00/32.65 tff(12954,plain,
% 50.00/32.65 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_read_h_shared))),
% 50.00/32.65 inference(modus_ponens,[status(thm)],[12953, 12952])).
% 50.00/32.65 tff(12955,plain,
% 50.00/32.65 (~m_processor_v_cmd(c_p1, s3, c_read_h_shared)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12954, 3200, 9596])).
% 50.00/32.65 tff(12956,plain,
% 50.00/32.65 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p1, s3)) | (~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_cmd(c_p1, s3, c_read_h_owned) | m_processor_v_cmd(c_p1, s3, c_read_h_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s3)) | (~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_cmd(c_p1, s3, c_read_h_owned) | m_processor_v_cmd(c_p1, s3, c_read_h_shared))),
% 50.00/32.65 inference(rewrite,[status(thm)],[])).
% 50.00/32.65 tff(12957,plain,
% 50.00/32.65 ((m_processor_v_cmd(c_p1, s3, c_read_h_owned) | m_processor_v_cmd(c_p1, s3, c_read_h_shared) | (~m_processor_v_state(c_p1, s3, c_invalid)) | (~m_processor_v_master(c_p1, s3))) <=> ((~m_processor_v_master(c_p1, s3)) | (~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_cmd(c_p1, s3, c_read_h_owned) | m_processor_v_cmd(c_p1, s3, c_read_h_shared))),
% 50.00/32.65 inference(rewrite,[status(thm)],[])).
% 50.00/32.65 tff(12958,plain,
% 50.00/32.65 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s3, c_read_h_owned) | m_processor_v_cmd(c_p1, s3, c_read_h_shared) | (~m_processor_v_state(c_p1, s3, c_invalid)) | (~m_processor_v_master(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p1, s3)) | (~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_cmd(c_p1, s3, c_read_h_owned) | m_processor_v_cmd(c_p1, s3, c_read_h_shared)))),
% 50.00/32.65 inference(monotonicity,[status(thm)],[12957])).
% 50.00/32.65 tff(12959,plain,
% 50.00/32.65 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s3, c_read_h_owned) | m_processor_v_cmd(c_p1, s3, c_read_h_shared) | (~m_processor_v_state(c_p1, s3, c_invalid)) | (~m_processor_v_master(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s3)) | (~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_cmd(c_p1, s3, c_read_h_owned) | m_processor_v_cmd(c_p1, s3, c_read_h_shared))),
% 50.00/32.65 inference(transitivity,[status(thm)],[12958, 12956])).
% 50.00/32.65 tff(12960,plain,
% 50.00/32.65 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s3, c_read_h_owned) | m_processor_v_cmd(c_p1, s3, c_read_h_shared) | (~m_processor_v_state(c_p1, s3, c_invalid)) | (~m_processor_v_master(c_p1, s3)))),
% 50.00/32.65 inference(quant_inst,[status(thm)],[])).
% 50.00/32.65 tff(12961,plain,
% 50.00/32.65 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s3)) | (~m_processor_v_state(c_p1, s3, c_invalid)) | m_processor_v_cmd(c_p1, s3, c_read_h_owned) | m_processor_v_cmd(c_p1, s3, c_read_h_shared)),
% 50.00/32.65 inference(modus_ponens,[status(thm)],[12960, 12959])).
% 50.00/32.65 tff(12962,plain,
% 50.00/32.65 ((~m_processor_v_master(c_p1, s3)) | m_processor_v_cmd(c_p1, s3, c_read_h_owned) | m_processor_v_cmd(c_p1, s3, c_read_h_shared)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12961, 1835, 6810])).
% 50.00/32.65 tff(12963,plain,
% 50.00/32.65 ($false),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12962, 12955, 12951, 6711])).
% 50.00/32.65 tff(12964,plain,((~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_processor_v_master(c_p1, s3)) | (~m_processor_v_state(c_p1, s3, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 50.00/32.65 tff(12965,plain,
% 50.00/32.65 (~m_processor_v_state(c_p1, s3, c_invalid)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12964, 12945, 12838])).
% 50.00/32.65 tff(12966,plain,
% 50.00/32.65 ($false),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[10639, 1633, 12965, 12947])).
% 50.00/32.65 tff(12967,plain,(m_processor_v_abort(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | m_memory_v_reply_h_stall(c_m, s4) | (~node56(c_p0, s4)) | m_processor_v_waiting(c_p1, s4) | (~m_processor_v_state(c_p0, s4, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.00/32.65 tff(12968,plain,
% 50.00/32.65 (m_processor_v_abort(c_p1, s3)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12967, 12536, 12561, 12538, 12539, 12535, 12560, 12543, 12541])).
% 50.00/32.65 tff(12969,plain,
% 50.00/32.65 (node46(c_p1, s3, s4)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12063, 12968])).
% 50.00/32.65 tff(12970,plain,
% 50.00/32.65 (~m_processor_v_waiting(c_p1, s3)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12055, 12969, 12536])).
% 50.00/32.65 tff(12971,plain,
% 50.00/32.65 (node32(c_p1, s3, s4)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[6640, 12968])).
% 50.00/32.65 tff(12972,plain,
% 50.00/32.65 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[6599, 137, 12538])).
% 50.00/32.65 tff(12973,plain,
% 50.00/32.65 (~m_processor_v_state(c_p1, s3, c_invalid)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[6812, 12972, 12971])).
% 50.00/32.65 tff(12974,plain,
% 50.00/32.65 (~m_processor_v_snoop(c_p1, s3, c_shared)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12038, 4096, 12561])).
% 50.00/32.65 tff(12975,plain,
% 50.00/32.65 (~m_processor_v_waiting(c_p0, s4)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[9373, 540, 12543])).
% 50.00/32.65 tff(12976,plain,
% 50.00/32.65 (m_processor_v_state(c_p0, s3, c_owned)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[9842, 12975, 12541])).
% 50.00/32.65 tff(12977,plain,
% 50.00/32.65 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[2665, 137, 12976])).
% 50.00/32.65 tff(12978,plain,
% 50.00/32.65 (m_main_v_CMD(s2, c_read_h_owned)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12410, 12977, 12535, 12974, 12543, 12970])).
% 50.00/32.65 tff(12979,plain,
% 50.00/32.65 (~m_main_v_CMD(s2, c_read_h_shared)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[8797, 12978])).
% 50.00/32.65 tff(12980,plain,
% 50.00/32.65 (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[8791, 12979])).
% 50.00/32.65 tff(12981,plain,
% 50.00/32.65 (~node47(c_p1, s2)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[5419, 657, 12980])).
% 50.00/32.65 tff(12982,plain,
% 50.00/32.65 (~m_processor_v_state(c_p1, s2, c_invalid)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[5403, 12981, 12973, 12970, 12535])).
% 50.00/32.65 tff(12983,plain,
% 50.00/32.65 (m_processor_v_state(c_p0, s2, c_invalid)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[5074, 12982])).
% 50.00/32.65 tff(12984,plain,
% 50.00/32.65 (m_processor_v_master(c_p0, s2)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[9671, 12983, 12543])).
% 50.00/32.65 tff(12985,plain,
% 50.00/32.65 (~node32(c_p0, s2, s3)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[5496, 12983, 12977])).
% 50.00/32.65 tff(12986,plain,
% 50.00/32.65 (~m_processor_v_abort(c_p0, s2)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[2704, 12985])).
% 50.00/32.65 tff(12987,plain,
% 50.00/32.65 (m_processor_v_waiting(c_p0, s3)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[5647, 12986, 12984, 12983])).
% 50.00/32.65 tff(12988,plain,
% 50.00/32.65 (~m_processor_v_state(c_p0, s3, c_shared)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[9823, 12975, 12541])).
% 50.00/32.65 tff(12989,plain,
% 50.00/32.65 (~m_processor_v_state(c_p0, s4, c_invalid)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[1757, 12541])).
% 50.00/32.65 tff(12990,plain,
% 50.00/32.65 (m_memory_v_cmd(c_m, s3, c_idle)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12836, 12560, 12538, 12561, 12535, 12539, 12541])).
% 50.00/32.65 tff(12991,plain,
% 50.00/32.65 (~m_processor_v_cmd(c_p1, s3, c_idle)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[11716, 12983, 12990, 12989, 12975, 12976, 12988, 12543])).
% 50.00/32.65 tff(12992,plain,
% 50.00/32.65 (~m_processor_v_state(c_p1, s4, c_shared)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[6591, 121, 12538])).
% 50.00/32.65 tff(12993,plain,
% 50.00/32.65 (~m_processor_v_state(c_p1, s3, c_shared)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[6667, 12992, 12971])).
% 50.00/32.65 tff(12994,plain,
% 50.00/32.65 (~node63(c_p1, s3)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[10643, 1809, 12993])).
% 50.00/32.65 tff(12995,plain,
% 50.00/32.65 (m_processor_v_cmd(c_p1, s3, c_write_h_invalid)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12429, 12994, 12561, 12535, 12991])).
% 50.00/32.65 tff(12996,plain,
% 50.00/32.65 (m_processor_v_master(c_p1, s3)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[9478, 12991])).
% 50.00/32.65 tff(12997,plain,
% 50.00/32.65 (~m_processor_v_master(c_p0, s3)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[9444, 794, 12996])).
% 50.00/32.65 tff(12998,plain,
% 50.00/32.65 (m_processor_v_cmd(c_p0, s3, c_idle)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[10144, 12997])).
% 50.00/32.65 tff(12999,plain,
% 50.00/32.65 (~node9(s3)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[10785, 12991])).
% 50.00/32.65 tff(13000,plain,
% 50.00/32.65 (~node16(s3)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[10569, 3386, 12996])).
% 50.00/32.65 tff(13001,plain,
% 50.00/32.65 (~m_processor_v_master(c_p2, s3)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[9562, 13000])).
% 50.00/32.65 tff(13002,plain,
% 50.00/32.65 (m_processor_v_cmd(c_p2, s3, c_idle)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[9594, 13001])).
% 50.00/32.65 tff(13003,plain,
% 50.00/32.65 (node10(s3)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[10800, 13002, 12990, 12999, 12998])).
% 50.00/32.65 tff(13004,plain,
% 50.00/32.65 (m_main_v_CMD(s3, c_write_h_invalid)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12441, 13003, 12995])).
% 50.00/32.65 tff(13005,plain,
% 50.00/32.65 (~m_main_v_CMD(s3, c_read_h_shared)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[11385, 8958, 13004])).
% 50.00/32.65 tff(13006,plain,
% 50.00/32.65 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[10595, 13005])).
% 50.00/32.65 tff(13007,plain,
% 50.00/32.65 (~m_main_v_CMD(s3, c_read_h_owned)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12454, 12451, 13004])).
% 50.00/32.65 tff(13008,plain,
% 50.00/32.65 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12458, 13007])).
% 50.00/32.65 tff(13009,plain,
% 50.00/32.65 (~node61(c_p1, s3)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12468, 13008, 13006])).
% 50.00/32.65 tff(13010,plain,
% 50.00/32.65 (m_processor_v_REPLY_h_STALL(c_p1, s3)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12476, 13009, 12968])).
% 50.00/32.65 tff(13011,plain,
% 50.00/32.65 (m_main_v_REPLY_h_STALL(s3)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[12483, 13010])).
% 50.00/32.65 tff(13012,plain,
% 50.00/32.65 (m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[10502, 13011])).
% 50.00/32.65 tff(13013,plain,
% 50.00/32.65 (~node60(c_p0, s3)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[10494, 13012])).
% 50.00/32.65 tff(13014,plain,
% 50.00/32.65 (m_processor_v_abort(c_p0, s3)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[10486, 13013])).
% 50.00/32.65 tff(13015,plain,
% 50.00/32.65 (node46(c_p0, s3, s4)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[11697, 13014])).
% 50.00/32.65 tff(13016,plain,
% 50.00/32.65 ($false),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[11714, 11708, 12975, 13015, 12987])).
% 50.00/32.65 tff(13017,plain,(node67(s6) | m_processor_v_state(c_p1, s5, c_owned) | node67(s9) | node67(s8) | node67(s7)), inference(lemma,lemma(discharge,[]))).
% 50.00/32.65 tff(13018,plain,
% 50.00/32.65 (node67(s8)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[13017, 12531, 5949, 53, 683])).
% 50.00/32.65 tff(13019,plain,
% 50.00/32.65 (m_processor_v_writable(c_p1, s8)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[5697, 13018])).
% 50.00/32.65 tff(13020,plain,
% 50.00/32.65 (node56(c_p1, s8)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[5686, 13019])).
% 50.00/32.65 tff(13021,plain,
% 50.00/32.65 (m_processor_v_state(c_p1, s8, c_owned)),
% 50.00/32.65 inference(unit_resolution,[status(thm)],[5678, 13020])).
% 50.00/32.65 tff(13022,assumption,(m_processor_v_state(c_p1, s8, c_owned)), introduced(assumption)).
% 50.00/32.65 tff(13023,assumption,(node32(c_p1, s7, s8)), introduced(assumption)).
% 50.00/32.65 tff(13024,plain,
% 50.00/32.65 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p1, s7, c_owned) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~node32(c_p1, s7, s8)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p1, s7, c_owned) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~node32(c_p1, s7, s8)))),
% 50.00/32.66 inference(rewrite,[status(thm)],[])).
% 50.00/32.66 tff(13025,plain,
% 50.00/32.66 (((~node32(c_p1, s7, s8)) | m_processor_v_state(c_p1, s7, c_owned) | (~m_processor_v_state(c_p1, s8, c_owned))) <=> (m_processor_v_state(c_p1, s7, c_owned) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~node32(c_p1, s7, s8)))),
% 50.00/32.66 inference(rewrite,[status(thm)],[])).
% 50.00/32.66 tff(13026,plain,
% 50.00/32.66 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p1, s7, s8)) | m_processor_v_state(c_p1, s7, c_owned) | (~m_processor_v_state(c_p1, s8, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p1, s7, c_owned) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~node32(c_p1, s7, s8))))),
% 50.00/32.66 inference(monotonicity,[status(thm)],[13025])).
% 50.00/32.66 tff(13027,plain,
% 50.00/32.66 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p1, s7, s8)) | m_processor_v_state(c_p1, s7, c_owned) | (~m_processor_v_state(c_p1, s8, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p1, s7, c_owned) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~node32(c_p1, s7, s8)))),
% 50.00/32.66 inference(transitivity,[status(thm)],[13026, 13024])).
% 50.00/32.66 tff(13028,plain,
% 50.00/32.66 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p1, s7, s8)) | m_processor_v_state(c_p1, s7, c_owned) | (~m_processor_v_state(c_p1, s8, c_owned)))),
% 50.00/32.66 inference(quant_inst,[status(thm)],[])).
% 50.00/32.66 tff(13029,plain,
% 50.00/32.66 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p1, s7, c_owned) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~node32(c_p1, s7, s8))),
% 50.00/32.66 inference(modus_ponens,[status(thm)],[13028, 13027])).
% 50.00/32.66 tff(13030,plain,
% 50.00/32.66 ($false),
% 50.00/32.66 inference(unit_resolution,[status(thm)],[13029, 261, 4, 13023, 13022])).
% 50.00/32.66 tff(13031,plain,((~node32(c_p1, s7, s8)) | m_processor_v_state(c_p1, s7, c_owned) | (~m_processor_v_state(c_p1, s8, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.00/32.66 tff(13032,plain,
% 50.00/32.66 (~node32(c_p1, s7, s8)),
% 50.00/32.66 inference(unit_resolution,[status(thm)],[13031, 13021, 4])).
% 50.00/32.66 tff(13033,assumption,(~node38(c_p1, s7, s8)), introduced(assumption)).
% 50.00/32.66 tff(13034,plain,
% 50.00/32.66 (((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s7, s8)) | trans(s7, s8))) <=> ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s7, s8)) | trans(s7, s8))),
% 50.00/32.66 inference(rewrite,[status(thm)],[])).
% 50.00/32.66 tff(13035,plain,
% 50.00/32.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | ((~succ(s7, s8)) | trans(s7, s8))),
% 50.00/32.66 inference(quant_inst,[status(thm)],[])).
% 50.00/32.66 tff(13036,plain,
% 50.00/32.66 ((~![Y: $i, X: $i] : ((~succ(X, Y)) | trans(X, Y))) | (~succ(s7, s8)) | trans(s7, s8)),
% 50.00/32.66 inference(modus_ponens,[status(thm)],[13035, 13034])).
% 50.00/32.66 tff(13037,plain,
% 50.00/32.66 (trans(s7, s8)),
% 50.00/32.66 inference(unit_resolution,[status(thm)],[13036, 5926, 196])).
% 50.00/32.66 tff(13038,plain,
% 50.00/32.66 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s7, s8)) | node38(c_p1, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s7, s8)) | node38(c_p1, s7, s8))),
% 50.00/32.66 inference(rewrite,[status(thm)],[])).
% 50.00/32.66 tff(13039,plain,
% 50.00/32.66 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s7, s8)) | node38(c_p1, s7, s8))),
% 50.00/32.66 inference(quant_inst,[status(thm)],[])).
% 50.00/32.66 tff(13040,plain,
% 50.00/32.66 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s7, s8)) | node38(c_p1, s7, s8)),
% 50.00/32.66 inference(modus_ponens,[status(thm)],[13039, 13038])).
% 50.00/32.66 tff(13041,plain,
% 50.00/32.66 ($false),
% 50.00/32.66 inference(unit_resolution,[status(thm)],[13040, 210, 13037, 13033])).
% 50.00/32.66 tff(13042,plain,(node38(c_p1, s7, s8)), inference(lemma,lemma(discharge,[]))).
% 50.00/32.66 tff(13043,plain,
% 50.00/32.66 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s7, s8) | (~m_processor_v_abort(c_p1, s7)) | (~node38(c_p1, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p1, s7, s8) | (~m_processor_v_abort(c_p1, s7)) | (~node38(c_p1, s7, s8)))),
% 50.00/32.66 inference(rewrite,[status(thm)],[])).
% 50.00/32.66 tff(13044,plain,
% 50.00/32.66 ((node32(c_p1, s7, s8) | (~node38(c_p1, s7, s8)) | (~m_processor_v_abort(c_p1, s7))) <=> (node32(c_p1, s7, s8) | (~m_processor_v_abort(c_p1, s7)) | (~node38(c_p1, s7, s8)))),
% 50.00/32.66 inference(rewrite,[status(thm)],[])).
% 50.00/32.66 tff(13045,plain,
% 50.00/32.66 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s7, s8) | (~node38(c_p1, s7, s8)) | (~m_processor_v_abort(c_p1, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s7, s8) | (~m_processor_v_abort(c_p1, s7)) | (~node38(c_p1, s7, s8))))),
% 50.00/32.66 inference(monotonicity,[status(thm)],[13044])).
% 50.00/32.66 tff(13046,plain,
% 50.00/32.66 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s7, s8) | (~node38(c_p1, s7, s8)) | (~m_processor_v_abort(c_p1, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p1, s7, s8) | (~m_processor_v_abort(c_p1, s7)) | (~node38(c_p1, s7, s8)))),
% 50.00/32.66 inference(transitivity,[status(thm)],[13045, 13043])).
% 50.00/32.66 tff(13047,plain,
% 50.00/32.66 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s7, s8) | (~node38(c_p1, s7, s8)) | (~m_processor_v_abort(c_p1, s7)))),
% 50.00/32.66 inference(quant_inst,[status(thm)],[])).
% 50.00/32.66 tff(13048,plain,
% 50.00/32.66 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p1, s7, s8) | (~m_processor_v_abort(c_p1, s7)) | (~node38(c_p1, s7, s8))),
% 50.00/32.66 inference(modus_ponens,[status(thm)],[13047, 13046])).
% 50.00/32.66 tff(13049,plain,
% 50.00/32.66 (node32(c_p1, s7, s8) | (~m_processor_v_abort(c_p1, s7))),
% 50.00/32.66 inference(unit_resolution,[status(thm)],[13048, 243, 13042])).
% 50.00/32.66 tff(13050,plain,
% 50.00/32.66 (~m_processor_v_abort(c_p1, s7)),
% 50.00/32.66 inference(unit_resolution,[status(thm)],[13049, 13032])).
% 50.00/32.66 tff(13051,assumption,(~m_processor_v_master(c_p1, s7)), introduced(assumption)).
% 50.00/32.66 tff(13052,plain,
% 50.00/32.66 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s8, c_invalid)) | (~m_processor_v_state(c_p1, s8, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s8, c_invalid)) | (~m_processor_v_state(c_p1, s8, c_owned)))),
% 50.00/32.66 inference(rewrite,[status(thm)],[])).
% 50.00/32.66 tff(13053,plain,
% 50.00/32.66 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s8, c_invalid)) | (~m_processor_v_state(c_p1, s8, c_owned)))),
% 50.00/32.66 inference(quant_inst,[status(thm)],[])).
% 50.00/32.66 tff(13054,plain,
% 50.00/32.66 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s8, c_invalid)) | (~m_processor_v_state(c_p1, s8, c_owned))),
% 50.00/32.66 inference(modus_ponens,[status(thm)],[13053, 13052])).
% 50.00/32.66 tff(13055,plain,
% 50.00/32.66 ($false),
% 50.00/32.66 inference(unit_resolution,[status(thm)],[13054, 137, 6519, 13022])).
% 50.00/32.66 tff(13056,plain,((~m_processor_v_state(c_p1, s8, c_invalid)) | (~m_processor_v_state(c_p1, s8, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.00/32.66 tff(13057,plain,
% 50.00/32.66 (~m_processor_v_state(c_p1, s8, c_invalid)),
% 50.00/32.66 inference(unit_resolution,[status(thm)],[13056, 13022])).
% 50.00/32.66 tff(13058,assumption,(m_processor_v_state(c_p1, s7, c_invalid)), introduced(assumption)).
% 50.00/32.66 tff(13059,plain,
% 50.00/32.66 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p1, s7, c_invalid)) | (~m_processor_v_state(c_p1, s7, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p1, s7, c_invalid)) | (~m_processor_v_state(c_p1, s7, c_shared)))),
% 50.00/32.66 inference(rewrite,[status(thm)],[])).
% 50.00/32.66 tff(13060,plain,
% 50.00/32.66 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p1, s7, c_invalid)) | (~m_processor_v_state(c_p1, s7, c_shared)))),
% 50.00/32.66 inference(quant_inst,[status(thm)],[])).
% 50.00/32.66 tff(13061,plain,
% 50.00/32.66 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p1, s7, c_invalid)) | (~m_processor_v_state(c_p1, s7, c_shared))),
% 50.00/32.66 inference(modus_ponens,[status(thm)],[13060, 13059])).
% 50.00/32.66 tff(13062,plain,
% 50.00/32.66 (~m_processor_v_state(c_p1, s7, c_shared)),
% 50.00/32.66 inference(unit_resolution,[status(thm)],[13061, 977, 13058])).
% 50.00/32.66 tff(13063,assumption,(~m_processor_v_state(c_p1, s7, c_shared)), introduced(assumption)).
% 50.00/32.66 tff(13064,plain,
% 50.00/32.66 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p1, s7, c_shared) | (~node36(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p1, s7, c_shared) | (~node36(c_p1, s7)))),
% 50.00/32.66 inference(rewrite,[status(thm)],[])).
% 50.00/32.66 tff(13065,plain,
% 50.00/32.66 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p1, s7, c_shared) | (~node36(c_p1, s7)))),
% 50.00/32.66 inference(quant_inst,[status(thm)],[])).
% 50.00/32.66 tff(13066,plain,
% 50.00/32.66 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p1, s7, c_shared) | (~node36(c_p1, s7))),
% 50.00/32.66 inference(modus_ponens,[status(thm)],[13065, 13064])).
% 50.00/32.66 tff(13067,plain,
% 50.00/32.66 (~node36(c_p1, s7)),
% 50.00/32.66 inference(unit_resolution,[status(thm)],[13066, 167, 13063])).
% 50.00/32.66 tff(13068,plain,
% 50.00/32.66 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s7, c_shared) | (~m_processor_v_state(c_p1, s8, c_shared)) | (~node37(c_p1, s7, s8)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s7, c_shared) | (~m_processor_v_state(c_p1, s8, c_shared)) | (~node37(c_p1, s7, s8)))),
% 50.00/32.66 inference(rewrite,[status(thm)],[])).
% 50.00/32.66 tff(13069,plain,
% 50.00/32.66 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s7, c_shared) | (~m_processor_v_state(c_p1, s8, c_shared)) | (~node37(c_p1, s7, s8)))),
% 50.00/32.66 inference(quant_inst,[status(thm)],[])).
% 50.00/32.66 tff(13070,plain,
% 50.00/32.66 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s7, c_shared) | (~m_processor_v_state(c_p1, s8, c_shared)) | (~node37(c_p1, s7, s8))),
% 50.00/32.66 inference(modus_ponens,[status(thm)],[13069, 13068])).
% 50.00/32.66 tff(13071,plain,
% 50.00/32.66 (~node37(c_p1, s7, s8)),
% 50.00/32.66 inference(unit_resolution,[status(thm)],[13070, 182, 13063, 6413])).
% 50.00/32.66 tff(13072,plain,
% 50.00/32.66 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s7) | m_processor_v_state(c_p1, s7, c_shared) | node36(c_p1, s7) | m_processor_v_abort(c_p1, s7) | node37(c_p1, s7, s8) | (~node38(c_p1, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s7) | m_processor_v_state(c_p1, s7, c_shared) | node36(c_p1, s7) | m_processor_v_abort(c_p1, s7) | node37(c_p1, s7, s8) | (~node38(c_p1, s7, s8)))),
% 50.00/32.66 inference(rewrite,[status(thm)],[])).
% 50.00/32.66 tff(13073,plain,
% 50.00/32.66 ((m_processor_v_state(c_p1, s7, c_shared) | node36(c_p1, s7) | m_processor_v_master(c_p1, s7) | node37(c_p1, s7, s8) | (~node38(c_p1, s7, s8)) | m_processor_v_abort(c_p1, s7)) <=> (m_processor_v_master(c_p1, s7) | m_processor_v_state(c_p1, s7, c_shared) | node36(c_p1, s7) | m_processor_v_abort(c_p1, s7) | node37(c_p1, s7, s8) | (~node38(c_p1, s7, s8)))),
% 50.00/32.66 inference(rewrite,[status(thm)],[])).
% 50.00/32.66 tff(13074,plain,
% 50.00/32.66 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s7, c_shared) | node36(c_p1, s7) | m_processor_v_master(c_p1, s7) | node37(c_p1, s7, s8) | (~node38(c_p1, s7, s8)) | m_processor_v_abort(c_p1, s7))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s7) | m_processor_v_state(c_p1, s7, c_shared) | node36(c_p1, s7) | m_processor_v_abort(c_p1, s7) | node37(c_p1, s7, s8) | (~node38(c_p1, s7, s8))))),
% 50.00/32.66 inference(monotonicity,[status(thm)],[13073])).
% 50.00/32.66 tff(13075,plain,
% 50.00/32.66 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s7, c_shared) | node36(c_p1, s7) | m_processor_v_master(c_p1, s7) | node37(c_p1, s7, s8) | (~node38(c_p1, s7, s8)) | m_processor_v_abort(c_p1, s7))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s7) | m_processor_v_state(c_p1, s7, c_shared) | node36(c_p1, s7) | m_processor_v_abort(c_p1, s7) | node37(c_p1, s7, s8) | (~node38(c_p1, s7, s8)))),
% 50.00/32.66 inference(transitivity,[status(thm)],[13074, 13072])).
% 50.00/32.66 tff(13076,plain,
% 50.00/32.66 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s7, c_shared) | node36(c_p1, s7) | m_processor_v_master(c_p1, s7) | node37(c_p1, s7, s8) | (~node38(c_p1, s7, s8)) | m_processor_v_abort(c_p1, s7))),
% 50.00/32.66 inference(quant_inst,[status(thm)],[])).
% 50.00/32.66 tff(13077,plain,
% 50.00/32.66 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s7) | m_processor_v_state(c_p1, s7, c_shared) | node36(c_p1, s7) | m_processor_v_abort(c_p1, s7) | node37(c_p1, s7, s8) | (~node38(c_p1, s7, s8))),
% 50.00/32.66 inference(modus_ponens,[status(thm)],[13076, 13075])).
% 50.00/32.66 tff(13078,plain,
% 50.00/32.66 (m_processor_v_master(c_p1, s7) | m_processor_v_state(c_p1, s7, c_shared) | node36(c_p1, s7) | m_processor_v_abort(c_p1, s7) | node37(c_p1, s7, s8)),
% 50.00/32.66 inference(unit_resolution,[status(thm)],[13077, 225, 13042])).
% 50.00/32.66 tff(13079,plain,
% 50.00/32.66 (m_processor_v_abort(c_p1, s7)),
% 50.00/32.66 inference(unit_resolution,[status(thm)],[13078, 13071, 13051, 13063, 13067])).
% 50.00/32.66 tff(13080,plain,
% 50.00/32.66 (node32(c_p1, s7, s8)),
% 50.00/32.66 inference(unit_resolution,[status(thm)],[13049, 13079])).
% 50.00/32.66 tff(13081,plain,
% 50.00/32.66 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p1, s7, c_shared) | (~m_processor_v_state(c_p1, s8, c_shared)) | (~node32(c_p1, s7, s8)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p1, s7, c_shared) | (~m_processor_v_state(c_p1, s8, c_shared)) | (~node32(c_p1, s7, s8)))),
% 50.00/32.66 inference(rewrite,[status(thm)],[])).
% 50.00/32.66 tff(13082,plain,
% 50.00/32.66 (((~node32(c_p1, s7, s8)) | m_processor_v_state(c_p1, s7, c_shared) | (~m_processor_v_state(c_p1, s8, c_shared))) <=> (m_processor_v_state(c_p1, s7, c_shared) | (~m_processor_v_state(c_p1, s8, c_shared)) | (~node32(c_p1, s7, s8)))),
% 50.00/32.66 inference(rewrite,[status(thm)],[])).
% 50.00/32.66 tff(13083,plain,
% 50.00/32.66 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p1, s7, s8)) | m_processor_v_state(c_p1, s7, c_shared) | (~m_processor_v_state(c_p1, s8, c_shared)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p1, s7, c_shared) | (~m_processor_v_state(c_p1, s8, c_shared)) | (~node32(c_p1, s7, s8))))),
% 50.00/32.66 inference(monotonicity,[status(thm)],[13082])).
% 50.00/32.66 tff(13084,plain,
% 50.00/32.66 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p1, s7, s8)) | m_processor_v_state(c_p1, s7, c_shared) | (~m_processor_v_state(c_p1, s8, c_shared)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p1, s7, c_shared) | (~m_processor_v_state(c_p1, s8, c_shared)) | (~node32(c_p1, s7, s8)))),
% 50.00/32.66 inference(transitivity,[status(thm)],[13083, 13081])).
% 50.00/32.66 tff(13085,plain,
% 50.00/32.66 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p1, s7, s8)) | m_processor_v_state(c_p1, s7, c_shared) | (~m_processor_v_state(c_p1, s8, c_shared)))),
% 50.00/32.66 inference(quant_inst,[status(thm)],[])).
% 50.00/32.66 tff(13086,plain,
% 50.00/32.66 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p1, s7, c_shared) | (~m_processor_v_state(c_p1, s8, c_shared)) | (~node32(c_p1, s7, s8))),
% 50.00/32.66 inference(modus_ponens,[status(thm)],[13085, 13084])).
% 50.00/32.66 tff(13087,plain,
% 50.00/32.66 ($false),
% 50.00/32.66 inference(unit_resolution,[status(thm)],[13086, 261, 13063, 6413, 13080])).
% 50.00/32.66 tff(13088,plain,(m_processor_v_state(c_p1, s7, c_shared) | (~m_processor_v_state(c_p1, s8, c_shared)) | m_processor_v_master(c_p1, s7)), inference(lemma,lemma(discharge,[]))).
% 50.00/32.66 tff(13089,plain,
% 50.00/32.66 (~m_processor_v_state(c_p1, s8, c_shared)),
% 50.00/32.66 inference(unit_resolution,[status(thm)],[13088, 13062, 13051])).
% 50.00/32.66 tff(13090,plain,
% 50.00/32.66 (~node32(c_p1, s7, s8)),
% 50.00/32.66 inference(unit_resolution,[status(thm)],[13031, 13022, 4])).
% 50.00/32.66 tff(13091,plain,
% 50.00/32.66 (~m_processor_v_abort(c_p1, s7)),
% 50.00/32.66 inference(unit_resolution,[status(thm)],[13049, 13090])).
% 50.00/32.66 tff(13092,plain,
% 50.00/32.66 (node37(c_p1, s7, s8)),
% 50.00/32.66 inference(unit_resolution,[status(thm)],[13078, 13091, 13051, 13063, 13067])).
% 50.00/32.66 tff(13093,plain,
% 50.00/32.66 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s7, c_owned) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~node37(c_p1, s7, s8)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s7, c_owned) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~node37(c_p1, s7, s8)))),
% 50.00/32.66 inference(rewrite,[status(thm)],[])).
% 50.00/32.66 tff(13094,plain,
% 50.00/32.66 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s7, c_owned) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~node37(c_p1, s7, s8)))),
% 50.00/32.66 inference(quant_inst,[status(thm)],[])).
% 50.00/32.66 tff(13095,plain,
% 50.00/32.66 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s7, c_owned) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~node37(c_p1, s7, s8))),
% 50.00/32.66 inference(modus_ponens,[status(thm)],[13094, 13093])).
% 50.00/32.66 tff(13096,plain,
% 50.00/32.66 ($false),
% 50.00/32.66 inference(unit_resolution,[status(thm)],[13095, 182, 4, 13092, 13022])).
% 50.00/32.66 tff(13097,plain,((~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s7, c_owned) | m_processor_v_master(c_p1, s7) | m_processor_v_state(c_p1, s7, c_shared)), inference(lemma,lemma(discharge,[]))).
% 50.00/32.66 tff(13098,plain,
% 50.00/32.66 (~m_processor_v_state(c_p1, s8, c_owned)),
% 50.00/32.66 inference(unit_resolution,[status(thm)],[13097, 13062, 4, 13051])).
% 50.00/32.66 tff(13099,plain,
% 50.00/32.66 ($false),
% 50.00/32.66 inference(unit_resolution,[status(thm)],[6402, 13098, 13089, 6397])).
% 50.00/32.66 tff(13100,plain,(m_processor_v_master(c_p1, s7) | m_processor_v_state(c_p1, s8, c_invalid) | m_processor_v_state(c_p1, s7, c_owned) | (~m_processor_v_state(c_p1, s7, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 50.00/32.66 tff(13101,plain,
% 50.00/32.66 (~m_processor_v_state(c_p1, s7, c_invalid)),
% 50.00/32.66 inference(unit_resolution,[status(thm)],[13100, 13051, 4, 6397])).
% 50.00/32.66 tff(13102,assumption,(~m_processor_v_state(c_p1, s7, c_invalid)), introduced(assumption)).
% 50.00/32.66 tff(13103,plain,
% 50.00/32.66 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p1, s7, c_owned) | m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_state(c_p1, s7, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p1, s7, c_owned) | m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_state(c_p1, s7, c_invalid))),
% 50.00/32.66 inference(rewrite,[status(thm)],[])).
% 50.00/32.66 tff(13104,plain,
% 50.00/32.66 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p1, s7, c_owned) | m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_state(c_p1, s7, c_invalid))),
% 50.00/32.66 inference(quant_inst,[status(thm)],[])).
% 50.00/32.66 tff(13105,plain,
% 50.00/32.66 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p1, s7, c_owned) | m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_state(c_p1, s7, c_invalid)),
% 50.00/32.66 inference(modus_ponens,[status(thm)],[13104, 13103])).
% 50.00/32.66 tff(13106,plain,
% 50.00/32.66 ($false),
% 50.00/32.66 inference(unit_resolution,[status(thm)],[13105, 153, 4, 13063, 13102])).
% 50.00/32.66 tff(13107,plain,(m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_state(c_p1, s7, c_owned) | m_processor_v_state(c_p1, s7, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.00/32.66 tff(13108,plain,
% 50.00/32.66 (m_processor_v_state(c_p1, s7, c_shared)),
% 50.00/32.66 inference(unit_resolution,[status(thm)],[13107, 13101, 4])).
% 50.00/32.66 tff(13109,plain,
% 50.00/32.66 (m_processor_v_state(c_p1, s8, c_owned)),
% 50.00/32.66 inference(unit_resolution,[status(thm)],[6402, 6360, 6397])).
% 50.00/32.66 tff(13110,plain,
% 50.00/32.66 (~node32(c_p1, s7, s8)),
% 50.00/32.66 inference(unit_resolution,[status(thm)],[13031, 13109, 4])).
% 50.00/32.66 tff(13111,plain,
% 50.00/32.66 (~m_processor_v_abort(c_p1, s7)),
% 50.00/32.66 inference(unit_resolution,[status(thm)],[13049, 13110])).
% 50.00/32.66 tff(13112,plain,
% 50.00/32.66 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p1, s7) | m_processor_v_master(c_p1, s7) | (~m_processor_v_state(c_p1, s7, c_shared)) | m_processor_v_abort(c_p1, s7) | m_processor_v_state(c_p1, s8, c_invalid) | (~node38(c_p1, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p1, s7) | m_processor_v_master(c_p1, s7) | (~m_processor_v_state(c_p1, s7, c_shared)) | m_processor_v_abort(c_p1, s7) | m_processor_v_state(c_p1, s8, c_invalid) | (~node38(c_p1, s7, s8)))),
% 50.00/32.66 inference(rewrite,[status(thm)],[])).
% 50.00/32.66 tff(13113,plain,
% 50.00/32.66 (((~m_processor_v_state(c_p1, s7, c_shared)) | m_processor_v_master(c_p1, s7) | node35(c_p1, s7) | m_processor_v_state(c_p1, s8, c_invalid) | (~node38(c_p1, s7, s8)) | m_processor_v_abort(c_p1, s7)) <=> (node35(c_p1, s7) | m_processor_v_master(c_p1, s7) | (~m_processor_v_state(c_p1, s7, c_shared)) | m_processor_v_abort(c_p1, s7) | m_processor_v_state(c_p1, s8, c_invalid) | (~node38(c_p1, s7, s8)))),
% 50.00/32.67 inference(rewrite,[status(thm)],[])).
% 50.00/32.67 tff(13114,plain,
% 50.00/32.67 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s7, c_shared)) | m_processor_v_master(c_p1, s7) | node35(c_p1, s7) | m_processor_v_state(c_p1, s8, c_invalid) | (~node38(c_p1, s7, s8)) | m_processor_v_abort(c_p1, s7))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p1, s7) | m_processor_v_master(c_p1, s7) | (~m_processor_v_state(c_p1, s7, c_shared)) | m_processor_v_abort(c_p1, s7) | m_processor_v_state(c_p1, s8, c_invalid) | (~node38(c_p1, s7, s8))))),
% 50.00/32.67 inference(monotonicity,[status(thm)],[13113])).
% 50.00/32.67 tff(13115,plain,
% 50.00/32.67 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s7, c_shared)) | m_processor_v_master(c_p1, s7) | node35(c_p1, s7) | m_processor_v_state(c_p1, s8, c_invalid) | (~node38(c_p1, s7, s8)) | m_processor_v_abort(c_p1, s7))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p1, s7) | m_processor_v_master(c_p1, s7) | (~m_processor_v_state(c_p1, s7, c_shared)) | m_processor_v_abort(c_p1, s7) | m_processor_v_state(c_p1, s8, c_invalid) | (~node38(c_p1, s7, s8)))),
% 50.00/32.67 inference(transitivity,[status(thm)],[13114, 13112])).
% 50.00/32.67 tff(13116,plain,
% 50.00/32.67 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s7, c_shared)) | m_processor_v_master(c_p1, s7) | node35(c_p1, s7) | m_processor_v_state(c_p1, s8, c_invalid) | (~node38(c_p1, s7, s8)) | m_processor_v_abort(c_p1, s7))),
% 50.00/32.67 inference(quant_inst,[status(thm)],[])).
% 50.00/32.67 tff(13117,plain,
% 50.00/32.67 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p1, s7) | m_processor_v_master(c_p1, s7) | (~m_processor_v_state(c_p1, s7, c_shared)) | m_processor_v_abort(c_p1, s7) | m_processor_v_state(c_p1, s8, c_invalid) | (~node38(c_p1, s7, s8))),
% 50.00/32.67 inference(modus_ponens,[status(thm)],[13116, 13115])).
% 50.00/32.67 tff(13118,plain,
% 50.00/32.67 (node35(c_p1, s7) | m_processor_v_master(c_p1, s7) | (~m_processor_v_state(c_p1, s7, c_shared)) | m_processor_v_abort(c_p1, s7) | m_processor_v_state(c_p1, s8, c_invalid)),
% 50.00/32.67 inference(unit_resolution,[status(thm)],[13117, 301, 13042])).
% 50.00/32.67 tff(13119,plain,
% 50.00/32.67 (node35(c_p1, s7)),
% 50.00/32.67 inference(unit_resolution,[status(thm)],[13118, 13111, 13051, 6397, 13108])).
% 50.00/32.67 tff(13120,plain,
% 50.00/32.67 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s7, c_invalidate)) | (~node35(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s7, c_invalidate)) | (~node35(c_p1, s7)))),
% 50.00/32.67 inference(rewrite,[status(thm)],[])).
% 50.00/32.67 tff(13121,plain,
% 50.00/32.67 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s7, c_invalidate)) | (~node35(c_p1, s7)))),
% 50.00/32.67 inference(quant_inst,[status(thm)],[])).
% 50.00/32.67 tff(13122,plain,
% 50.00/32.67 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s7, c_invalidate)) | (~node35(c_p1, s7))),
% 50.00/32.67 inference(modus_ponens,[status(thm)],[13121, 13120])).
% 50.00/32.67 tff(13123,plain,
% 50.00/32.67 (~m_processor_v_CMD(c_p1, s7, c_invalidate)),
% 50.00/32.67 inference(unit_resolution,[status(thm)],[13122, 327, 13119])).
% 50.00/32.67 tff(13124,plain,
% 50.00/32.67 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s7, c_read_h_owned)) | (~node35(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)) | (~node35(c_p1, s7)))),
% 50.00/32.67 inference(rewrite,[status(thm)],[])).
% 50.00/32.67 tff(13125,plain,
% 50.00/32.67 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s7, c_read_h_owned)) | (~node35(c_p1, s7)))),
% 50.00/32.67 inference(quant_inst,[status(thm)],[])).
% 50.00/32.67 tff(13126,plain,
% 50.00/32.67 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)) | (~node35(c_p1, s7))),
% 50.00/32.67 inference(modus_ponens,[status(thm)],[13125, 13124])).
% 50.00/32.67 tff(13127,plain,
% 50.00/32.67 (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)),
% 50.00/32.67 inference(unit_resolution,[status(thm)],[13126, 316, 13119])).
% 50.00/32.67 tff(13128,plain,
% 50.00/32.67 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s7) | (~m_processor_v_state(c_p1, s7, c_shared)) | node36(c_p1, s7) | m_processor_v_abort(c_p1, s7) | m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_state(c_p1, s8, c_invalid) | (~node38(c_p1, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s7) | (~m_processor_v_state(c_p1, s7, c_shared)) | node36(c_p1, s7) | m_processor_v_abort(c_p1, s7) | m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_state(c_p1, s8, c_invalid) | (~node38(c_p1, s7, s8)))),
% 50.00/32.67 inference(rewrite,[status(thm)],[])).
% 50.00/32.67 tff(13129,plain,
% 50.00/32.67 (((~m_processor_v_state(c_p1, s7, c_shared)) | node36(c_p1, s7) | m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_master(c_p1, s7) | m_processor_v_state(c_p1, s8, c_invalid) | (~node38(c_p1, s7, s8)) | m_processor_v_abort(c_p1, s7)) <=> (m_processor_v_master(c_p1, s7) | (~m_processor_v_state(c_p1, s7, c_shared)) | node36(c_p1, s7) | m_processor_v_abort(c_p1, s7) | m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_state(c_p1, s8, c_invalid) | (~node38(c_p1, s7, s8)))),
% 50.00/32.67 inference(rewrite,[status(thm)],[])).
% 50.00/32.67 tff(13130,plain,
% 50.00/32.67 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s7, c_shared)) | node36(c_p1, s7) | m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_master(c_p1, s7) | m_processor_v_state(c_p1, s8, c_invalid) | (~node38(c_p1, s7, s8)) | m_processor_v_abort(c_p1, s7))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s7) | (~m_processor_v_state(c_p1, s7, c_shared)) | node36(c_p1, s7) | m_processor_v_abort(c_p1, s7) | m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_state(c_p1, s8, c_invalid) | (~node38(c_p1, s7, s8))))),
% 50.00/32.67 inference(monotonicity,[status(thm)],[13129])).
% 50.00/32.67 tff(13131,plain,
% 50.00/32.67 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s7, c_shared)) | node36(c_p1, s7) | m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_master(c_p1, s7) | m_processor_v_state(c_p1, s8, c_invalid) | (~node38(c_p1, s7, s8)) | m_processor_v_abort(c_p1, s7))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s7) | (~m_processor_v_state(c_p1, s7, c_shared)) | node36(c_p1, s7) | m_processor_v_abort(c_p1, s7) | m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_state(c_p1, s8, c_invalid) | (~node38(c_p1, s7, s8)))),
% 50.06/32.67 inference(transitivity,[status(thm)],[13130, 13128])).
% 50.06/32.67 tff(13132,plain,
% 50.06/32.67 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s7, c_shared)) | node36(c_p1, s7) | m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_master(c_p1, s7) | m_processor_v_state(c_p1, s8, c_invalid) | (~node38(c_p1, s7, s8)) | m_processor_v_abort(c_p1, s7))),
% 50.06/32.67 inference(quant_inst,[status(thm)],[])).
% 50.06/32.67 tff(13133,plain,
% 50.06/32.67 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s7) | (~m_processor_v_state(c_p1, s7, c_shared)) | node36(c_p1, s7) | m_processor_v_abort(c_p1, s7) | m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_state(c_p1, s8, c_invalid) | (~node38(c_p1, s7, s8))),
% 50.06/32.67 inference(modus_ponens,[status(thm)],[13132, 13131])).
% 50.06/32.67 tff(13134,plain,
% 50.06/32.67 (m_processor_v_master(c_p1, s7) | (~m_processor_v_state(c_p1, s7, c_shared)) | node36(c_p1, s7) | m_processor_v_abort(c_p1, s7) | m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_state(c_p1, s8, c_invalid)),
% 50.06/32.67 inference(unit_resolution,[status(thm)],[13133, 341, 13042])).
% 50.06/32.67 tff(13135,plain,
% 50.06/32.67 (node36(c_p1, s7)),
% 50.06/32.67 inference(unit_resolution,[status(thm)],[13134, 13111, 13051, 13108, 6360, 6397])).
% 50.06/32.67 tff(13136,plain,
% 50.06/32.67 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s7, c_read_h_owned) | (~node36(c_p1, s7)) | m_processor_v_CMD(c_p1, s7, c_invalidate))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | (~node36(c_p1, s7)) | m_processor_v_CMD(c_p1, s7, c_invalidate))),
% 50.06/32.67 inference(rewrite,[status(thm)],[])).
% 50.06/32.67 tff(13137,plain,
% 50.06/32.67 ((m_processor_v_CMD(c_p1, s7, c_invalidate) | (~node36(c_p1, s7)) | m_processor_v_CMD(c_p1, s7, c_read_h_owned)) <=> (m_processor_v_CMD(c_p1, s7, c_read_h_owned) | (~node36(c_p1, s7)) | m_processor_v_CMD(c_p1, s7, c_invalidate))),
% 50.06/32.67 inference(rewrite,[status(thm)],[])).
% 50.06/32.67 tff(13138,plain,
% 50.06/32.67 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s7, c_invalidate) | (~node36(c_p1, s7)) | m_processor_v_CMD(c_p1, s7, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s7, c_read_h_owned) | (~node36(c_p1, s7)) | m_processor_v_CMD(c_p1, s7, c_invalidate)))),
% 50.06/32.67 inference(monotonicity,[status(thm)],[13137])).
% 50.06/32.67 tff(13139,plain,
% 50.06/32.67 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s7, c_invalidate) | (~node36(c_p1, s7)) | m_processor_v_CMD(c_p1, s7, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | (~node36(c_p1, s7)) | m_processor_v_CMD(c_p1, s7, c_invalidate))),
% 50.06/32.67 inference(transitivity,[status(thm)],[13138, 13136])).
% 50.06/32.67 tff(13140,plain,
% 50.06/32.67 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s7, c_invalidate) | (~node36(c_p1, s7)) | m_processor_v_CMD(c_p1, s7, c_read_h_owned))),
% 50.06/32.67 inference(quant_inst,[status(thm)],[])).
% 50.06/32.67 tff(13141,plain,
% 50.06/32.67 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | (~node36(c_p1, s7)) | m_processor_v_CMD(c_p1, s7, c_invalidate)),
% 50.06/32.67 inference(modus_ponens,[status(thm)],[13140, 13139])).
% 50.06/32.67 tff(13142,plain,
% 50.06/32.67 ($false),
% 50.06/32.67 inference(unit_resolution,[status(thm)],[13141, 359, 13135, 13127, 13123])).
% 50.06/32.67 tff(13143,plain,(m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_master(c_p1, s7) | m_processor_v_state(c_p1, s8, c_invalid) | m_processor_v_state(c_p1, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.67 tff(13144,plain,
% 50.06/32.67 (m_processor_v_state(c_p1, s8, c_shared)),
% 50.06/32.67 inference(unit_resolution,[status(thm)],[13143, 13057, 13051, 4])).
% 50.06/32.67 tff(13145,plain,
% 50.06/32.67 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_state(c_p1, s8, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_state(c_p1, s8, c_shared)))),
% 50.06/32.67 inference(rewrite,[status(thm)],[])).
% 50.06/32.67 tff(13146,plain,
% 50.06/32.67 (((~m_processor_v_state(c_p1, s8, c_shared)) | (~m_processor_v_state(c_p1, s8, c_owned))) <=> ((~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_state(c_p1, s8, c_shared)))),
% 50.06/32.67 inference(rewrite,[status(thm)],[])).
% 50.06/32.67 tff(13147,plain,
% 50.06/32.67 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s8, c_shared)) | (~m_processor_v_state(c_p1, s8, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_state(c_p1, s8, c_shared))))),
% 50.06/32.67 inference(monotonicity,[status(thm)],[13146])).
% 50.06/32.67 tff(13148,plain,
% 50.06/32.67 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s8, c_shared)) | (~m_processor_v_state(c_p1, s8, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_state(c_p1, s8, c_shared)))),
% 50.06/32.67 inference(transitivity,[status(thm)],[13147, 13145])).
% 50.06/32.67 tff(13149,plain,
% 50.06/32.67 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s8, c_shared)) | (~m_processor_v_state(c_p1, s8, c_owned)))),
% 50.06/32.67 inference(quant_inst,[status(thm)],[])).
% 50.06/32.67 tff(13150,plain,
% 50.06/32.67 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_state(c_p1, s8, c_shared))),
% 50.06/32.67 inference(modus_ponens,[status(thm)],[13149, 13148])).
% 50.06/32.67 tff(13151,plain,
% 50.06/32.67 ($false),
% 50.06/32.67 inference(unit_resolution,[status(thm)],[13150, 121, 13144, 13022])).
% 50.06/32.67 tff(13152,plain,((~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_master(c_p1, s7) | m_processor_v_state(c_p1, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.67 tff(13153,plain,
% 50.06/32.67 (m_processor_v_master(c_p1, s7)),
% 50.06/32.67 inference(unit_resolution,[status(thm)],[13152, 13021, 4])).
% 50.06/32.67 tff(13154,assumption,(m_processor_v_waiting(c_p1, s8)), introduced(assumption)).
% 50.06/32.67 tff(13155,plain,
% 50.06/32.67 (((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p1, s8)) | (~node56(c_p1, s8)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p1, s8)) | (~node56(c_p1, s8)))),
% 50.06/32.67 inference(rewrite,[status(thm)],[])).
% 50.06/32.67 tff(13156,plain,
% 50.06/32.67 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p1, s8)) | (~node56(c_p1, s8)))),
% 50.06/32.67 inference(quant_inst,[status(thm)],[])).
% 50.06/32.67 tff(13157,plain,
% 50.06/32.67 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p1, s8)) | (~node56(c_p1, s8))),
% 50.06/32.67 inference(modus_ponens,[status(thm)],[13156, 13155])).
% 50.06/32.67 tff(13158,plain,
% 50.06/32.67 ($false),
% 50.06/32.67 inference(unit_resolution,[status(thm)],[13157, 540, 5673, 13154])).
% 50.06/32.67 tff(13159,plain,((~m_processor_v_waiting(c_p1, s8)) | (~node56(c_p1, s8))), inference(lemma,lemma(discharge,[]))).
% 50.06/32.67 tff(13160,plain,
% 50.06/32.67 (~m_processor_v_waiting(c_p1, s8)),
% 50.06/32.67 inference(unit_resolution,[status(thm)],[13159, 13020])).
% 50.06/32.67 tff(13161,plain,
% 50.06/32.67 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s7, s8)) | node53(c_p1, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s7, s8)) | node53(c_p1, s7, s8))),
% 50.06/32.67 inference(rewrite,[status(thm)],[])).
% 50.06/32.67 tff(13162,plain,
% 50.06/32.67 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s7, s8)) | node53(c_p1, s7, s8))),
% 50.06/32.67 inference(quant_inst,[status(thm)],[])).
% 50.06/32.67 tff(13163,plain,
% 50.06/32.67 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s7, s8)) | node53(c_p1, s7, s8)),
% 50.06/32.67 inference(modus_ponens,[status(thm)],[13162, 13161])).
% 50.06/32.67 tff(13164,plain,
% 50.06/32.67 (node53(c_p1, s7, s8)),
% 50.06/32.67 inference(unit_resolution,[status(thm)],[13163, 575, 13037])).
% 50.06/32.67 tff(13165,plain,
% 50.06/32.67 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s7)) | m_processor_v_abort(c_p1, s7) | (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)) | m_processor_v_waiting(c_p1, s8) | (~node53(c_p1, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s7)) | m_processor_v_abort(c_p1, s7) | (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)) | m_processor_v_waiting(c_p1, s8) | (~node53(c_p1, s7, s8)))),
% 50.06/32.67 inference(rewrite,[status(thm)],[])).
% 50.06/32.67 tff(13166,plain,
% 50.06/32.67 ((m_processor_v_waiting(c_p1, s8) | (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)) | (~m_processor_v_master(c_p1, s7)) | m_processor_v_abort(c_p1, s7) | (~node53(c_p1, s7, s8))) <=> ((~m_processor_v_master(c_p1, s7)) | m_processor_v_abort(c_p1, s7) | (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)) | m_processor_v_waiting(c_p1, s8) | (~node53(c_p1, s7, s8)))),
% 50.06/32.67 inference(rewrite,[status(thm)],[])).
% 50.06/32.67 tff(13167,plain,
% 50.06/32.67 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s8) | (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)) | (~m_processor_v_master(c_p1, s7)) | m_processor_v_abort(c_p1, s7) | (~node53(c_p1, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s7)) | m_processor_v_abort(c_p1, s7) | (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)) | m_processor_v_waiting(c_p1, s8) | (~node53(c_p1, s7, s8))))),
% 50.06/32.67 inference(monotonicity,[status(thm)],[13166])).
% 50.06/32.67 tff(13168,plain,
% 50.06/32.67 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s8) | (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)) | (~m_processor_v_master(c_p1, s7)) | m_processor_v_abort(c_p1, s7) | (~node53(c_p1, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s7)) | m_processor_v_abort(c_p1, s7) | (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)) | m_processor_v_waiting(c_p1, s8) | (~node53(c_p1, s7, s8)))),
% 50.06/32.67 inference(transitivity,[status(thm)],[13167, 13165])).
% 50.06/32.67 tff(13169,plain,
% 50.06/32.67 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s8) | (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)) | (~m_processor_v_master(c_p1, s7)) | m_processor_v_abort(c_p1, s7) | (~node53(c_p1, s7, s8)))),
% 50.06/32.67 inference(quant_inst,[status(thm)],[])).
% 50.06/32.67 tff(13170,plain,
% 50.06/32.67 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s7)) | m_processor_v_abort(c_p1, s7) | (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)) | m_processor_v_waiting(c_p1, s8) | (~node53(c_p1, s7, s8))),
% 50.06/32.67 inference(modus_ponens,[status(thm)],[13169, 13168])).
% 50.06/32.67 tff(13171,plain,
% 50.06/32.67 ((~m_processor_v_master(c_p1, s7)) | m_processor_v_abort(c_p1, s7) | (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)) | m_processor_v_waiting(c_p1, s8)),
% 50.06/32.67 inference(unit_resolution,[status(thm)],[13170, 589, 13164])).
% 50.06/32.67 tff(13172,plain,
% 50.06/32.67 (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)),
% 50.06/32.67 inference(unit_resolution,[status(thm)],[13171, 13050, 13153, 13160])).
% 50.06/32.67 tff(13173,assumption,(~m_processor_v_CMD(c_p1, s7, c_read_h_shared)), introduced(assumption)).
% 50.06/32.67 tff(13174,assumption,(m_main_v_CMD(s7, c_read_h_shared)), introduced(assumption)).
% 50.06/32.67 tff(13175,assumption,(~node3(s7)), introduced(assumption)).
% 50.06/32.67 tff(13176,plain,
% 50.06/32.67 ((~![X: $i] : node3(X)) | node3(s7)),
% 50.06/32.67 inference(quant_inst,[status(thm)],[])).
% 50.06/32.67 tff(13177,plain,
% 50.06/32.67 ($false),
% 50.06/32.67 inference(unit_resolution,[status(thm)],[13176, 1247, 13175])).
% 50.06/32.67 tff(13178,plain,(node3(s7)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.67 tff(13179,plain,
% 50.06/32.67 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s7, c_read_h_shared) | (~m_main_v_CMD(s7, c_read_h_shared)) | (~node3(s7)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | (~m_main_v_CMD(s7, c_read_h_shared)) | (~node3(s7)))),
% 50.06/32.67 inference(rewrite,[status(thm)],[])).
% 50.06/32.67 tff(13180,plain,
% 50.06/32.67 (((~m_main_v_CMD(s7, c_read_h_shared)) | (~node3(s7)) | m_processor_v_CMD(c_p1, s7, c_read_h_shared)) <=> (m_processor_v_CMD(c_p1, s7, c_read_h_shared) | (~m_main_v_CMD(s7, c_read_h_shared)) | (~node3(s7)))),
% 50.06/32.67 inference(rewrite,[status(thm)],[])).
% 50.06/32.67 tff(13181,plain,
% 50.06/32.67 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s7, c_read_h_shared)) | (~node3(s7)) | m_processor_v_CMD(c_p1, s7, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s7, c_read_h_shared) | (~m_main_v_CMD(s7, c_read_h_shared)) | (~node3(s7))))),
% 50.06/32.67 inference(monotonicity,[status(thm)],[13180])).
% 50.06/32.67 tff(13182,plain,
% 50.06/32.67 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s7, c_read_h_shared)) | (~node3(s7)) | m_processor_v_CMD(c_p1, s7, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | (~m_main_v_CMD(s7, c_read_h_shared)) | (~node3(s7)))),
% 50.06/32.68 inference(transitivity,[status(thm)],[13181, 13179])).
% 50.06/32.68 tff(13183,plain,
% 50.06/32.68 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s7, c_read_h_shared)) | (~node3(s7)) | m_processor_v_CMD(c_p1, s7, c_read_h_shared))),
% 50.06/32.68 inference(quant_inst,[status(thm)],[])).
% 50.06/32.68 tff(13184,plain,
% 50.06/32.68 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | (~m_main_v_CMD(s7, c_read_h_shared)) | (~node3(s7))),
% 50.06/32.68 inference(modus_ponens,[status(thm)],[13183, 13182])).
% 50.06/32.68 tff(13185,plain,
% 50.06/32.68 ($false),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13184, 1945, 13178, 13174, 13173])).
% 50.06/32.68 tff(13186,plain,((~m_main_v_CMD(s7, c_read_h_shared)) | m_processor_v_CMD(c_p1, s7, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.68 tff(13187,plain,
% 50.06/32.68 (~m_main_v_CMD(s7, c_read_h_shared)),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13186, 13172])).
% 50.06/32.68 tff(13188,assumption,(m_processor_v_master(c_p1, s7)), introduced(assumption)).
% 50.06/32.68 tff(13189,plain,
% 50.06/32.68 (((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | ((~node16(s7)) | (~m_processor_v_master(c_p1, s7)))) <=> ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | (~node16(s7)) | (~m_processor_v_master(c_p1, s7)))),
% 50.06/32.68 inference(rewrite,[status(thm)],[])).
% 50.06/32.68 tff(13190,plain,
% 50.06/32.68 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | ((~node16(s7)) | (~m_processor_v_master(c_p1, s7)))),
% 50.06/32.68 inference(quant_inst,[status(thm)],[])).
% 50.06/32.68 tff(13191,plain,
% 50.06/32.68 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | (~node16(s7)) | (~m_processor_v_master(c_p1, s7))),
% 50.06/32.68 inference(modus_ponens,[status(thm)],[13190, 13189])).
% 50.06/32.68 tff(13192,plain,
% 50.06/32.68 (~node16(s7)),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13191, 3386, 13188])).
% 50.06/32.68 tff(13193,assumption,(~m_main_v_CMD(s7, c_read_h_owned)), introduced(assumption)).
% 50.06/32.68 tff(13194,assumption,(~m_main_v_CMD(s7, c_read_h_shared)), introduced(assumption)).
% 50.06/32.68 tff(13195,assumption,(m_processor_v_cmd(c_p2, s7, c_idle)), introduced(assumption)).
% 50.06/32.68 tff(13196,assumption,(node17(s7)), introduced(assumption)).
% 50.06/32.68 tff(13197,plain,
% 50.06/32.68 (((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p1, s7)) | (~node17(s7)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | (~m_processor_v_master(c_p1, s7)) | (~node17(s7)))),
% 50.06/32.68 inference(rewrite,[status(thm)],[])).
% 50.06/32.68 tff(13198,plain,
% 50.06/32.68 ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p1, s7)) | (~node17(s7)))),
% 50.06/32.68 inference(quant_inst,[status(thm)],[])).
% 50.06/32.68 tff(13199,plain,
% 50.06/32.68 ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | (~m_processor_v_master(c_p1, s7)) | (~node17(s7))),
% 50.06/32.68 inference(modus_ponens,[status(thm)],[13198, 13197])).
% 50.06/32.68 tff(13200,plain,
% 50.06/32.68 ($false),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13199, 3344, 13188, 13196])).
% 50.06/32.68 tff(13201,plain,((~m_processor_v_master(c_p1, s7)) | (~node17(s7))), inference(lemma,lemma(discharge,[]))).
% 50.06/32.68 tff(13202,plain,
% 50.06/32.68 (~node17(s7)),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13201, 13188])).
% 50.06/32.68 tff(13203,assumption,(m_memory_v_master(c_m, s7)), introduced(assumption)).
% 50.06/32.68 tff(13204,assumption,(~node17(s7)), introduced(assumption)).
% 50.06/32.68 tff(13205,plain,
% 50.06/32.68 (((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | (node17(s7) | (~m_memory_v_master(c_m, s7)))) <=> ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | node17(s7) | (~m_memory_v_master(c_m, s7)))),
% 50.06/32.68 inference(rewrite,[status(thm)],[])).
% 50.06/32.68 tff(13206,plain,
% 50.06/32.68 ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | (node17(s7) | (~m_memory_v_master(c_m, s7)))),
% 50.06/32.68 inference(quant_inst,[status(thm)],[])).
% 50.06/32.68 tff(13207,plain,
% 50.06/32.68 ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | node17(s7) | (~m_memory_v_master(c_m, s7))),
% 50.06/32.68 inference(modus_ponens,[status(thm)],[13206, 13205])).
% 50.06/32.68 tff(13208,plain,
% 50.06/32.68 ($false),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13207, 1290, 13204, 13203])).
% 50.06/32.68 tff(13209,plain,((~m_memory_v_master(c_m, s7)) | node17(s7)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.68 tff(13210,plain,
% 50.06/32.68 (~m_memory_v_master(c_m, s7)),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13209, 13202])).
% 50.06/32.68 tff(13211,assumption,(node29(c_m, s7)), introduced(assumption)).
% 50.06/32.68 tff(13212,assumption,(~m_memory_v_master(c_m, s7)), introduced(assumption)).
% 50.06/32.68 tff(13213,plain,
% 50.06/32.68 (((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | (m_memory_v_master(c_m, s7) | (~node29(c_m, s7)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | m_memory_v_master(c_m, s7) | (~node29(c_m, s7)))),
% 50.06/32.68 inference(rewrite,[status(thm)],[])).
% 50.06/32.68 tff(13214,plain,
% 50.06/32.68 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | (m_memory_v_master(c_m, s7) | (~node29(c_m, s7)))),
% 50.06/32.68 inference(quant_inst,[status(thm)],[])).
% 50.06/32.68 tff(13215,plain,
% 50.06/32.68 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | m_memory_v_master(c_m, s7) | (~node29(c_m, s7))),
% 50.06/32.68 inference(modus_ponens,[status(thm)],[13214, 13213])).
% 50.06/32.68 tff(13216,plain,
% 50.06/32.68 ($false),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13215, 1305, 13212, 13211])).
% 50.06/32.68 tff(13217,plain,(m_memory_v_master(c_m, s7) | (~node29(c_m, s7))), inference(lemma,lemma(discharge,[]))).
% 50.06/32.68 tff(13218,plain,
% 50.06/32.68 (~node29(c_m, s7)),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13217, 13210])).
% 50.06/32.68 tff(13219,assumption,(~node29(c_m, s7)), introduced(assumption)).
% 50.06/32.68 tff(13220,assumption,(~m_memory_v_cmd(c_m, s7, c_idle)), introduced(assumption)).
% 50.06/32.68 tff(13221,plain,
% 50.06/32.68 (((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | (node29(c_m, s7) | m_memory_v_cmd(c_m, s7, c_idle))) <=> ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | node29(c_m, s7) | m_memory_v_cmd(c_m, s7, c_idle))),
% 50.06/32.68 inference(rewrite,[status(thm)],[])).
% 50.06/32.68 tff(13222,plain,
% 50.06/32.68 ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | (node29(c_m, s7) | m_memory_v_cmd(c_m, s7, c_idle))),
% 50.06/32.68 inference(quant_inst,[status(thm)],[])).
% 50.06/32.68 tff(13223,plain,
% 50.06/32.68 ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | node29(c_m, s7) | m_memory_v_cmd(c_m, s7, c_idle)),
% 50.06/32.68 inference(modus_ponens,[status(thm)],[13222, 13221])).
% 50.06/32.68 tff(13224,plain,
% 50.06/32.68 ($false),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13223, 1320, 13220, 13219])).
% 50.06/32.68 tff(13225,plain,(m_memory_v_cmd(c_m, s7, c_idle) | node29(c_m, s7)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.68 tff(13226,plain,
% 50.06/32.68 (m_memory_v_cmd(c_m, s7, c_idle)),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13225, 13218])).
% 50.06/32.68 tff(13227,plain,
% 50.06/32.68 (((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | ((~m_processor_v_master(c_p0, s7)) | (~m_processor_v_master(c_p1, s7)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | (~m_processor_v_master(c_p0, s7)) | (~m_processor_v_master(c_p1, s7)))),
% 50.06/32.68 inference(rewrite,[status(thm)],[])).
% 50.06/32.68 tff(13228,plain,
% 50.06/32.68 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | ((~m_processor_v_master(c_p0, s7)) | (~m_processor_v_master(c_p1, s7)))),
% 50.06/32.68 inference(quant_inst,[status(thm)],[])).
% 50.06/32.68 tff(13229,plain,
% 50.06/32.68 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | (~m_processor_v_master(c_p0, s7)) | (~m_processor_v_master(c_p1, s7))),
% 50.06/32.68 inference(modus_ponens,[status(thm)],[13228, 13227])).
% 50.06/32.68 tff(13230,plain,
% 50.06/32.68 (~m_processor_v_master(c_p0, s7)),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13229, 794, 13188])).
% 50.06/32.68 tff(13231,plain,
% 50.06/32.68 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p0, s7) | (~node63(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p0, s7) | (~node63(c_p0, s7)))),
% 50.06/32.68 inference(rewrite,[status(thm)],[])).
% 50.06/32.68 tff(13232,plain,
% 50.06/32.68 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p0, s7) | (~node63(c_p0, s7)))),
% 50.06/32.68 inference(quant_inst,[status(thm)],[])).
% 50.06/32.68 tff(13233,plain,
% 50.06/32.68 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p0, s7) | (~node63(c_p0, s7))),
% 50.06/32.68 inference(modus_ponens,[status(thm)],[13232, 13231])).
% 50.06/32.68 tff(13234,plain,
% 50.06/32.68 (~node63(c_p0, s7)),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13233, 1469, 13230])).
% 50.06/32.68 tff(13235,plain,
% 50.06/32.68 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p0, s7) | (~node62(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p0, s7) | (~node62(c_p0, s7)))),
% 50.06/32.68 inference(rewrite,[status(thm)],[])).
% 50.06/32.68 tff(13236,plain,
% 50.06/32.68 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p0, s7) | (~node62(c_p0, s7)))),
% 50.06/32.68 inference(quant_inst,[status(thm)],[])).
% 50.06/32.68 tff(13237,plain,
% 50.06/32.68 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p0, s7) | (~node62(c_p0, s7))),
% 50.06/32.68 inference(modus_ponens,[status(thm)],[13236, 13235])).
% 50.06/32.68 tff(13238,plain,
% 50.06/32.68 (~node62(c_p0, s7)),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13237, 1493, 13230])).
% 50.06/32.68 tff(13239,plain,
% 50.06/32.68 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p0, s7) | (~node64(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p0, s7) | (~node64(c_p0, s7)))),
% 50.06/32.68 inference(rewrite,[status(thm)],[])).
% 50.06/32.68 tff(13240,plain,
% 50.06/32.68 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p0, s7) | (~node64(c_p0, s7)))),
% 50.06/32.68 inference(quant_inst,[status(thm)],[])).
% 50.06/32.68 tff(13241,plain,
% 50.06/32.68 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p0, s7) | (~node64(c_p0, s7))),
% 50.06/32.68 inference(modus_ponens,[status(thm)],[13240, 13239])).
% 50.06/32.68 tff(13242,plain,
% 50.06/32.68 (~node64(c_p0, s7)),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13241, 1482, 13230])).
% 50.06/32.68 tff(13243,plain,
% 50.06/32.68 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p0, s7) | (~node66(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p0, s7) | (~node66(c_p0, s7)))),
% 50.06/32.68 inference(rewrite,[status(thm)],[])).
% 50.06/32.68 tff(13244,plain,
% 50.06/32.68 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p0, s7) | (~node66(c_p0, s7)))),
% 50.06/32.68 inference(quant_inst,[status(thm)],[])).
% 50.06/32.68 tff(13245,plain,
% 50.06/32.68 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p0, s7) | (~node66(c_p0, s7))),
% 50.06/32.68 inference(modus_ponens,[status(thm)],[13244, 13243])).
% 50.06/32.68 tff(13246,plain,
% 50.06/32.68 (~node66(c_p0, s7)),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13245, 1446, 13230])).
% 50.06/32.68 tff(13247,plain,
% 50.06/32.68 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p0, s7) | (~node65(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p0, s7) | (~node65(c_p0, s7)))),
% 50.06/32.68 inference(rewrite,[status(thm)],[])).
% 50.06/32.68 tff(13248,plain,
% 50.06/32.68 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p0, s7) | (~node65(c_p0, s7)))),
% 50.06/32.68 inference(quant_inst,[status(thm)],[])).
% 50.06/32.68 tff(13249,plain,
% 50.06/32.68 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p0, s7) | (~node65(c_p0, s7))),
% 50.06/32.68 inference(modus_ponens,[status(thm)],[13248, 13247])).
% 50.06/32.68 tff(13250,plain,
% 50.06/32.68 (~node65(c_p0, s7)),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13249, 1457, 13230])).
% 50.06/32.68 tff(13251,plain,
% 50.06/32.68 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node62(c_p0, s7) | node64(c_p0, s7) | node63(c_p0, s7) | node65(c_p0, s7) | m_processor_v_cmd(c_p0, s7, c_idle) | node66(c_p0, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p0, s7) | node64(c_p0, s7) | node63(c_p0, s7) | node65(c_p0, s7) | m_processor_v_cmd(c_p0, s7, c_idle) | node66(c_p0, s7))),
% 50.06/32.68 inference(rewrite,[status(thm)],[])).
% 50.06/32.68 tff(13252,plain,
% 50.06/32.68 ((m_processor_v_cmd(c_p0, s7, c_idle) | node62(c_p0, s7) | node63(c_p0, s7) | node64(c_p0, s7) | node65(c_p0, s7) | node66(c_p0, s7)) <=> (node62(c_p0, s7) | node64(c_p0, s7) | node63(c_p0, s7) | node65(c_p0, s7) | m_processor_v_cmd(c_p0, s7, c_idle) | node66(c_p0, s7))),
% 50.06/32.68 inference(rewrite,[status(thm)],[])).
% 50.06/32.68 tff(13253,plain,
% 50.06/32.68 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s7, c_idle) | node62(c_p0, s7) | node63(c_p0, s7) | node64(c_p0, s7) | node65(c_p0, s7) | node66(c_p0, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node62(c_p0, s7) | node64(c_p0, s7) | node63(c_p0, s7) | node65(c_p0, s7) | m_processor_v_cmd(c_p0, s7, c_idle) | node66(c_p0, s7)))),
% 50.06/32.68 inference(monotonicity,[status(thm)],[13252])).
% 50.06/32.68 tff(13254,plain,
% 50.06/32.68 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s7, c_idle) | node62(c_p0, s7) | node63(c_p0, s7) | node64(c_p0, s7) | node65(c_p0, s7) | node66(c_p0, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p0, s7) | node64(c_p0, s7) | node63(c_p0, s7) | node65(c_p0, s7) | m_processor_v_cmd(c_p0, s7, c_idle) | node66(c_p0, s7))),
% 50.06/32.68 inference(transitivity,[status(thm)],[13253, 13251])).
% 50.06/32.68 tff(13255,plain,
% 50.06/32.68 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s7, c_idle) | node62(c_p0, s7) | node63(c_p0, s7) | node64(c_p0, s7) | node65(c_p0, s7) | node66(c_p0, s7))),
% 50.06/32.68 inference(quant_inst,[status(thm)],[])).
% 50.06/32.68 tff(13256,plain,
% 50.06/32.68 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p0, s7) | node64(c_p0, s7) | node63(c_p0, s7) | node65(c_p0, s7) | m_processor_v_cmd(c_p0, s7, c_idle) | node66(c_p0, s7)),
% 50.06/32.68 inference(modus_ponens,[status(thm)],[13255, 13254])).
% 50.06/32.68 tff(13257,plain,
% 50.06/32.68 (m_processor_v_cmd(c_p0, s7, c_idle)),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13256, 1508, 13250, 13246, 13242, 13238, 13234])).
% 50.06/32.68 tff(13258,assumption,(m_processor_v_cmd(c_p1, s7, c_read_h_owned)), introduced(assumption)).
% 50.06/32.68 tff(13259,assumption,(node10(s7)), introduced(assumption)).
% 50.06/32.68 tff(13260,plain,
% 50.06/32.68 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s7, c_read_h_owned) | (~node10(s7)) | (~m_processor_v_cmd(c_p1, s7, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | m_main_v_CMD(s7, c_read_h_owned) | (~node10(s7)) | (~m_processor_v_cmd(c_p1, s7, c_read_h_owned)))),
% 50.06/32.68 inference(rewrite,[status(thm)],[])).
% 50.06/32.68 tff(13261,plain,
% 50.06/32.68 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s7, c_read_h_owned) | (~node10(s7)) | (~m_processor_v_cmd(c_p1, s7, c_read_h_owned)))),
% 50.06/32.68 inference(quant_inst,[status(thm)],[])).
% 50.06/32.68 tff(13262,plain,
% 50.06/32.68 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | m_main_v_CMD(s7, c_read_h_owned) | (~node10(s7)) | (~m_processor_v_cmd(c_p1, s7, c_read_h_owned))),
% 50.06/32.68 inference(modus_ponens,[status(thm)],[13261, 13260])).
% 50.06/32.68 tff(13263,plain,
% 50.06/32.68 ($false),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13262, 3481, 13258, 13259, 13193])).
% 50.06/32.68 tff(13264,plain,((~m_processor_v_cmd(c_p1, s7, c_read_h_owned)) | (~node10(s7)) | m_main_v_CMD(s7, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.68 tff(13265,plain,
% 50.06/32.68 (~node10(s7)),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13264, 13258, 13193])).
% 50.06/32.68 tff(13266,assumption,(m_processor_v_cmd(c_p0, s7, c_idle)), introduced(assumption)).
% 50.06/32.68 tff(13267,assumption,(m_memory_v_cmd(c_m, s7, c_idle)), introduced(assumption)).
% 50.06/32.68 tff(13268,plain,
% 50.06/32.68 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | ((~m_processor_v_cmd(c_p0, s7, c_idle)) | node9(s7) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_memory_v_cmd(c_m, s7, c_idle)) | node10(s7))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | node9(s7) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_memory_v_cmd(c_m, s7, c_idle)) | node10(s7))),
% 50.06/32.68 inference(rewrite,[status(thm)],[])).
% 50.06/32.68 tff(13269,plain,
% 50.06/32.68 ((node9(s7) | node10(s7) | (~m_memory_v_cmd(c_m, s7, c_idle)) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_idle))) <=> ((~m_processor_v_cmd(c_p0, s7, c_idle)) | node9(s7) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_memory_v_cmd(c_m, s7, c_idle)) | node10(s7))),
% 50.06/32.68 inference(rewrite,[status(thm)],[])).
% 50.06/32.68 tff(13270,plain,
% 50.06/32.68 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s7) | node10(s7) | (~m_memory_v_cmd(c_m, s7, c_idle)) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_idle)))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | ((~m_processor_v_cmd(c_p0, s7, c_idle)) | node9(s7) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_memory_v_cmd(c_m, s7, c_idle)) | node10(s7)))),
% 50.06/32.68 inference(monotonicity,[status(thm)],[13269])).
% 50.06/32.68 tff(13271,plain,
% 50.06/32.68 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s7) | node10(s7) | (~m_memory_v_cmd(c_m, s7, c_idle)) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_idle)))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | node9(s7) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_memory_v_cmd(c_m, s7, c_idle)) | node10(s7))),
% 50.06/32.68 inference(transitivity,[status(thm)],[13270, 13268])).
% 50.06/32.68 tff(13272,plain,
% 50.06/32.68 ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s7) | node10(s7) | (~m_memory_v_cmd(c_m, s7, c_idle)) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_idle)))),
% 50.06/32.68 inference(quant_inst,[status(thm)],[])).
% 50.06/32.68 tff(13273,plain,
% 50.06/32.68 ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | node9(s7) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_memory_v_cmd(c_m, s7, c_idle)) | node10(s7)),
% 50.06/32.68 inference(modus_ponens,[status(thm)],[13272, 13271])).
% 50.06/32.68 tff(13274,plain,
% 50.06/32.68 (node9(s7) | node10(s7)),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13273, 3461, 13195, 13267, 13266])).
% 50.06/32.68 tff(13275,plain,
% 50.06/32.68 (node9(s7)),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13274, 13265])).
% 50.06/32.68 tff(13276,plain,
% 50.06/32.68 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_read_h_owned)))),
% 50.06/32.68 inference(rewrite,[status(thm)],[])).
% 50.06/32.68 tff(13277,plain,
% 50.06/32.68 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_read_h_owned)))),
% 50.06/32.68 inference(quant_inst,[status(thm)],[])).
% 50.06/32.68 tff(13278,plain,
% 50.06/32.68 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_read_h_owned))),
% 50.06/32.68 inference(modus_ponens,[status(thm)],[13277, 13276])).
% 50.06/32.68 tff(13279,plain,
% 50.06/32.68 (~m_processor_v_cmd(c_p1, s7, c_idle)),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13278, 3189, 13258])).
% 50.06/32.68 tff(13280,plain,
% 50.06/32.68 (((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | (m_processor_v_cmd(c_p1, s7, c_idle) | (~node9(s7)))) <=> ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | m_processor_v_cmd(c_p1, s7, c_idle) | (~node9(s7)))),
% 50.06/32.68 inference(rewrite,[status(thm)],[])).
% 50.06/32.68 tff(13281,plain,
% 50.06/32.68 ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | (m_processor_v_cmd(c_p1, s7, c_idle) | (~node9(s7)))),
% 50.06/32.68 inference(quant_inst,[status(thm)],[])).
% 50.06/32.68 tff(13282,plain,
% 50.06/32.68 ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | m_processor_v_cmd(c_p1, s7, c_idle) | (~node9(s7))),
% 50.06/32.68 inference(modus_ponens,[status(thm)],[13281, 13280])).
% 50.06/32.68 tff(13283,plain,
% 50.06/32.68 ($false),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13282, 3443, 13279, 13275])).
% 50.06/32.68 tff(13284,plain,((~m_processor_v_cmd(c_p1, s7, c_read_h_owned)) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_memory_v_cmd(c_m, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | m_main_v_CMD(s7, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.68 tff(13285,plain,
% 50.06/32.68 (~m_processor_v_cmd(c_p1, s7, c_read_h_owned)),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13284, 13257, 13193, 13226, 13195])).
% 50.06/32.68 tff(13286,assumption,(m_processor_v_cmd(c_p1, s7, c_read_h_shared)), introduced(assumption)).
% 50.06/32.68 tff(13287,plain,
% 50.06/32.68 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s7, c_read_h_shared) | (~node10(s7)) | (~m_processor_v_cmd(c_p1, s7, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | m_main_v_CMD(s7, c_read_h_shared) | (~node10(s7)) | (~m_processor_v_cmd(c_p1, s7, c_read_h_shared)))),
% 50.06/32.68 inference(rewrite,[status(thm)],[])).
% 50.06/32.68 tff(13288,plain,
% 50.06/32.68 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s7, c_read_h_shared) | (~node10(s7)) | (~m_processor_v_cmd(c_p1, s7, c_read_h_shared)))),
% 50.06/32.68 inference(quant_inst,[status(thm)],[])).
% 50.06/32.68 tff(13289,plain,
% 50.06/32.68 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | m_main_v_CMD(s7, c_read_h_shared) | (~node10(s7)) | (~m_processor_v_cmd(c_p1, s7, c_read_h_shared))),
% 50.06/32.68 inference(modus_ponens,[status(thm)],[13288, 13287])).
% 50.06/32.68 tff(13290,plain,
% 50.06/32.68 ($false),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13289, 3481, 13286, 13259, 13194])).
% 50.06/32.68 tff(13291,plain,((~m_processor_v_cmd(c_p1, s7, c_read_h_shared)) | (~node10(s7)) | m_main_v_CMD(s7, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.68 tff(13292,plain,
% 50.06/32.68 (~node10(s7)),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13291, 13286, 13194])).
% 50.06/32.68 tff(13293,plain,
% 50.06/32.68 (node9(s7) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_memory_v_cmd(c_m, s7, c_idle)) | node10(s7)),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13273, 3461, 13266])).
% 50.06/32.68 tff(13294,plain,
% 50.06/32.68 (node9(s7)),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13293, 13292, 13195, 13267])).
% 50.06/32.68 tff(13295,plain,
% 50.06/32.68 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_read_h_shared)))),
% 50.06/32.68 inference(rewrite,[status(thm)],[])).
% 50.06/32.68 tff(13296,plain,
% 50.06/32.68 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_read_h_shared)))),
% 50.06/32.68 inference(quant_inst,[status(thm)],[])).
% 50.06/32.68 tff(13297,plain,
% 50.06/32.68 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_read_h_shared))),
% 50.06/32.68 inference(modus_ponens,[status(thm)],[13296, 13295])).
% 50.06/32.68 tff(13298,plain,
% 50.06/32.68 (~m_processor_v_cmd(c_p1, s7, c_idle)),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13297, 3200, 13286])).
% 50.06/32.68 tff(13299,plain,
% 50.06/32.68 ($false),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13282, 3443, 13298, 13294])).
% 50.06/32.68 tff(13300,plain,((~m_processor_v_cmd(c_p1, s7, c_read_h_shared)) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_memory_v_cmd(c_m, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | m_main_v_CMD(s7, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.68 tff(13301,plain,
% 50.06/32.68 (~m_processor_v_cmd(c_p1, s7, c_read_h_shared)),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13300, 13257, 13194, 13226, 13195])).
% 50.06/32.68 tff(13302,assumption,(~m_processor_v_cmd(c_p1, s7, c_read_h_shared)), introduced(assumption)).
% 50.06/32.68 tff(13303,assumption,(~m_processor_v_cmd(c_p1, s7, c_read_h_owned)), introduced(assumption)).
% 50.06/32.68 tff(13304,plain,
% 50.06/32.68 (m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_state(c_p1, s7, c_invalid)),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13105, 153, 4])).
% 50.06/32.68 tff(13305,plain,
% 50.06/32.68 (m_processor_v_state(c_p1, s7, c_shared)),
% 50.06/32.68 inference(unit_resolution,[status(thm)],[13304, 13102])).
% 50.06/32.68 tff(13306,plain,
% 50.06/32.68 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | ((~m_processor_v_master(c_p1, s7)) | node62(c_p1, s7) | (~m_processor_v_state(c_p1, s7, c_shared)) | m_processor_v_cmd(c_p1, s7, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p1, s7)) | node62(c_p1, s7) | (~m_processor_v_state(c_p1, s7, c_shared)) | m_processor_v_cmd(c_p1, s7, c_read_h_owned))),
% 50.06/32.68 inference(rewrite,[status(thm)],[])).
% 50.06/32.68 tff(13307,plain,
% 50.06/32.68 ((m_processor_v_cmd(c_p1, s7, c_read_h_owned) | (~m_processor_v_state(c_p1, s7, c_shared)) | (~m_processor_v_master(c_p1, s7)) | node62(c_p1, s7)) <=> ((~m_processor_v_master(c_p1, s7)) | node62(c_p1, s7) | (~m_processor_v_state(c_p1, s7, c_shared)) | m_processor_v_cmd(c_p1, s7, c_read_h_owned))),
% 50.06/32.68 inference(rewrite,[status(thm)],[])).
% 50.06/32.68 tff(13308,plain,
% 50.06/32.68 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p1, s7, c_read_h_owned) | (~m_processor_v_state(c_p1, s7, c_shared)) | (~m_processor_v_master(c_p1, s7)) | node62(c_p1, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | ((~m_processor_v_master(c_p1, s7)) | node62(c_p1, s7) | (~m_processor_v_state(c_p1, s7, c_shared)) | m_processor_v_cmd(c_p1, s7, c_read_h_owned)))),
% 50.06/32.68 inference(monotonicity,[status(thm)],[13307])).
% 50.06/32.68 tff(13309,plain,
% 50.06/32.68 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p1, s7, c_read_h_owned) | (~m_processor_v_state(c_p1, s7, c_shared)) | (~m_processor_v_master(c_p1, s7)) | node62(c_p1, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p1, s7)) | node62(c_p1, s7) | (~m_processor_v_state(c_p1, s7, c_shared)) | m_processor_v_cmd(c_p1, s7, c_read_h_owned))),
% 50.06/32.69 inference(transitivity,[status(thm)],[13308, 13306])).
% 50.06/32.69 tff(13310,plain,
% 50.06/32.69 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p1, s7, c_read_h_owned) | (~m_processor_v_state(c_p1, s7, c_shared)) | (~m_processor_v_master(c_p1, s7)) | node62(c_p1, s7))),
% 50.06/32.69 inference(quant_inst,[status(thm)],[])).
% 50.06/32.69 tff(13311,plain,
% 50.06/32.69 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p1, s7)) | node62(c_p1, s7) | (~m_processor_v_state(c_p1, s7, c_shared)) | m_processor_v_cmd(c_p1, s7, c_read_h_owned)),
% 50.06/32.69 inference(modus_ponens,[status(thm)],[13310, 13309])).
% 50.06/32.69 tff(13312,plain,
% 50.06/32.69 (node62(c_p1, s7) | (~m_processor_v_state(c_p1, s7, c_shared)) | m_processor_v_cmd(c_p1, s7, c_read_h_owned)),
% 50.06/32.69 inference(unit_resolution,[status(thm)],[13311, 1650, 13188])).
% 50.06/32.69 tff(13313,plain,
% 50.06/32.69 (node62(c_p1, s7)),
% 50.06/32.69 inference(unit_resolution,[status(thm)],[13312, 13305, 13303])).
% 50.06/32.69 tff(13314,plain,
% 50.06/32.69 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p1, s7, c_invalid) | (~node62(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p1, s7, c_invalid) | (~node62(c_p1, s7)))),
% 50.06/32.69 inference(rewrite,[status(thm)],[])).
% 50.06/32.69 tff(13315,plain,
% 50.06/32.69 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p1, s7, c_invalid) | (~node62(c_p1, s7)))),
% 50.06/32.69 inference(quant_inst,[status(thm)],[])).
% 50.06/32.69 tff(13316,plain,
% 50.06/32.69 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p1, s7, c_invalid) | (~node62(c_p1, s7))),
% 50.06/32.69 inference(modus_ponens,[status(thm)],[13315, 13314])).
% 50.06/32.69 tff(13317,plain,
% 50.06/32.69 ($false),
% 50.06/32.69 inference(unit_resolution,[status(thm)],[13316, 1633, 13313, 13102])).
% 50.06/32.69 tff(13318,plain,(m_processor_v_state(c_p1, s7, c_invalid) | m_processor_v_cmd(c_p1, s7, c_read_h_owned) | (~m_processor_v_master(c_p1, s7)) | m_processor_v_state(c_p1, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.69 tff(13319,plain,
% 50.06/32.69 (m_processor_v_state(c_p1, s7, c_invalid)),
% 50.06/32.69 inference(unit_resolution,[status(thm)],[13318, 13303, 4, 13188])).
% 50.06/32.69 tff(13320,plain,
% 50.06/32.69 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p1, s7)) | (~m_processor_v_state(c_p1, s7, c_invalid)) | m_processor_v_cmd(c_p1, s7, c_read_h_owned) | m_processor_v_cmd(c_p1, s7, c_read_h_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s7)) | (~m_processor_v_state(c_p1, s7, c_invalid)) | m_processor_v_cmd(c_p1, s7, c_read_h_owned) | m_processor_v_cmd(c_p1, s7, c_read_h_shared))),
% 50.06/32.69 inference(rewrite,[status(thm)],[])).
% 50.06/32.69 tff(13321,plain,
% 50.06/32.69 ((m_processor_v_cmd(c_p1, s7, c_read_h_owned) | m_processor_v_cmd(c_p1, s7, c_read_h_shared) | (~m_processor_v_state(c_p1, s7, c_invalid)) | (~m_processor_v_master(c_p1, s7))) <=> ((~m_processor_v_master(c_p1, s7)) | (~m_processor_v_state(c_p1, s7, c_invalid)) | m_processor_v_cmd(c_p1, s7, c_read_h_owned) | m_processor_v_cmd(c_p1, s7, c_read_h_shared))),
% 50.06/32.69 inference(rewrite,[status(thm)],[])).
% 50.06/32.69 tff(13322,plain,
% 50.06/32.69 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s7, c_read_h_owned) | m_processor_v_cmd(c_p1, s7, c_read_h_shared) | (~m_processor_v_state(c_p1, s7, c_invalid)) | (~m_processor_v_master(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p1, s7)) | (~m_processor_v_state(c_p1, s7, c_invalid)) | m_processor_v_cmd(c_p1, s7, c_read_h_owned) | m_processor_v_cmd(c_p1, s7, c_read_h_shared)))),
% 50.06/32.69 inference(monotonicity,[status(thm)],[13321])).
% 50.06/32.69 tff(13323,plain,
% 50.06/32.69 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s7, c_read_h_owned) | m_processor_v_cmd(c_p1, s7, c_read_h_shared) | (~m_processor_v_state(c_p1, s7, c_invalid)) | (~m_processor_v_master(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s7)) | (~m_processor_v_state(c_p1, s7, c_invalid)) | m_processor_v_cmd(c_p1, s7, c_read_h_owned) | m_processor_v_cmd(c_p1, s7, c_read_h_shared))),
% 50.06/32.69 inference(transitivity,[status(thm)],[13322, 13320])).
% 50.06/32.69 tff(13324,plain,
% 50.06/32.69 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s7, c_read_h_owned) | m_processor_v_cmd(c_p1, s7, c_read_h_shared) | (~m_processor_v_state(c_p1, s7, c_invalid)) | (~m_processor_v_master(c_p1, s7)))),
% 50.06/32.69 inference(quant_inst,[status(thm)],[])).
% 50.06/32.69 tff(13325,plain,
% 50.06/32.69 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s7)) | (~m_processor_v_state(c_p1, s7, c_invalid)) | m_processor_v_cmd(c_p1, s7, c_read_h_owned) | m_processor_v_cmd(c_p1, s7, c_read_h_shared)),
% 50.06/32.69 inference(modus_ponens,[status(thm)],[13324, 13323])).
% 50.06/32.69 tff(13326,plain,
% 50.06/32.69 ((~m_processor_v_state(c_p1, s7, c_invalid)) | m_processor_v_cmd(c_p1, s7, c_read_h_owned) | m_processor_v_cmd(c_p1, s7, c_read_h_shared)),
% 50.06/32.69 inference(unit_resolution,[status(thm)],[13325, 1835, 13188])).
% 50.06/32.69 tff(13327,plain,
% 50.06/32.69 ($false),
% 50.06/32.69 inference(unit_resolution,[status(thm)],[13326, 13319, 13303, 13302])).
% 50.06/32.69 tff(13328,plain,(m_processor_v_cmd(c_p1, s7, c_read_h_owned) | m_processor_v_cmd(c_p1, s7, c_read_h_shared) | (~m_processor_v_master(c_p1, s7)) | m_processor_v_state(c_p1, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.69 tff(13329,plain,
% 50.06/32.69 ($false),
% 50.06/32.69 inference(unit_resolution,[status(thm)],[13328, 13301, 13285, 13188, 4])).
% 50.06/32.69 tff(13330,plain,((~m_processor_v_master(c_p1, s7)) | m_processor_v_state(c_p1, s7, c_owned) | m_main_v_CMD(s7, c_read_h_shared) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | m_main_v_CMD(s7, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.69 tff(13331,plain,
% 50.06/32.69 (~m_processor_v_cmd(c_p2, s7, c_idle)),
% 50.06/32.69 inference(unit_resolution,[status(thm)],[13330, 13188, 4, 13194, 13193])).
% 50.06/32.69 tff(13332,assumption,(~m_processor_v_cmd(c_p2, s7, c_idle)), introduced(assumption)).
% 50.06/32.69 tff(13333,assumption,(~m_processor_v_master(c_p2, s7)), introduced(assumption)).
% 50.06/32.69 tff(13334,assumption,(~node62(c_p2, s7)), introduced(assumption)).
% 50.06/32.69 tff(13335,plain,
% 50.06/32.69 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p2, s7) | (~node66(c_p2, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p2, s7) | (~node66(c_p2, s7)))),
% 50.06/32.69 inference(rewrite,[status(thm)],[])).
% 50.06/32.69 tff(13336,plain,
% 50.06/32.69 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p2, s7) | (~node66(c_p2, s7)))),
% 50.06/32.69 inference(quant_inst,[status(thm)],[])).
% 50.06/32.69 tff(13337,plain,
% 50.06/32.69 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p2, s7) | (~node66(c_p2, s7))),
% 50.06/32.69 inference(modus_ponens,[status(thm)],[13336, 13335])).
% 50.06/32.69 tff(13338,plain,
% 50.06/32.69 (~node66(c_p2, s7)),
% 50.06/32.69 inference(unit_resolution,[status(thm)],[13337, 1446, 13333])).
% 50.06/32.69 tff(13339,assumption,(~node65(c_p2, s7)), introduced(assumption)).
% 50.06/32.69 tff(13340,plain,
% 50.06/32.69 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p2, s7) | (~node64(c_p2, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p2, s7) | (~node64(c_p2, s7)))),
% 50.06/32.69 inference(rewrite,[status(thm)],[])).
% 50.06/32.69 tff(13341,plain,
% 50.06/32.69 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p2, s7) | (~node64(c_p2, s7)))),
% 50.06/32.69 inference(quant_inst,[status(thm)],[])).
% 50.06/32.69 tff(13342,plain,
% 50.06/32.69 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p2, s7) | (~node64(c_p2, s7))),
% 50.06/32.69 inference(modus_ponens,[status(thm)],[13341, 13340])).
% 50.06/32.69 tff(13343,plain,
% 50.06/32.69 (~node64(c_p2, s7)),
% 50.06/32.69 inference(unit_resolution,[status(thm)],[13342, 1482, 13333])).
% 50.06/32.69 tff(13344,plain,
% 50.06/32.69 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p2, s7) | (~node63(c_p2, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p2, s7) | (~node63(c_p2, s7)))),
% 50.06/32.69 inference(rewrite,[status(thm)],[])).
% 50.06/32.69 tff(13345,plain,
% 50.06/32.69 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p2, s7) | (~node63(c_p2, s7)))),
% 50.06/32.69 inference(quant_inst,[status(thm)],[])).
% 50.06/32.69 tff(13346,plain,
% 50.06/32.69 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p2, s7) | (~node63(c_p2, s7))),
% 50.06/32.69 inference(modus_ponens,[status(thm)],[13345, 13344])).
% 50.06/32.69 tff(13347,plain,
% 50.06/32.69 (~node63(c_p2, s7)),
% 50.06/32.69 inference(unit_resolution,[status(thm)],[13346, 1469, 13333])).
% 50.06/32.69 tff(13348,plain,
% 50.06/32.69 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s7, c_idle) | node66(c_p2, s7) | node65(c_p2, s7) | node64(c_p2, s7) | node63(c_p2, s7) | node62(c_p2, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | m_processor_v_cmd(c_p2, s7, c_idle) | node66(c_p2, s7) | node65(c_p2, s7) | node64(c_p2, s7) | node63(c_p2, s7) | node62(c_p2, s7))),
% 50.06/32.69 inference(rewrite,[status(thm)],[])).
% 50.06/32.69 tff(13349,plain,
% 50.06/32.69 ((m_processor_v_cmd(c_p2, s7, c_idle) | node62(c_p2, s7) | node63(c_p2, s7) | node64(c_p2, s7) | node65(c_p2, s7) | node66(c_p2, s7)) <=> (m_processor_v_cmd(c_p2, s7, c_idle) | node66(c_p2, s7) | node65(c_p2, s7) | node64(c_p2, s7) | node63(c_p2, s7) | node62(c_p2, s7))),
% 50.06/32.69 inference(rewrite,[status(thm)],[])).
% 50.06/32.69 tff(13350,plain,
% 50.06/32.69 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s7, c_idle) | node62(c_p2, s7) | node63(c_p2, s7) | node64(c_p2, s7) | node65(c_p2, s7) | node66(c_p2, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s7, c_idle) | node66(c_p2, s7) | node65(c_p2, s7) | node64(c_p2, s7) | node63(c_p2, s7) | node62(c_p2, s7)))),
% 50.06/32.69 inference(monotonicity,[status(thm)],[13349])).
% 50.06/32.69 tff(13351,plain,
% 50.06/32.69 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s7, c_idle) | node62(c_p2, s7) | node63(c_p2, s7) | node64(c_p2, s7) | node65(c_p2, s7) | node66(c_p2, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | m_processor_v_cmd(c_p2, s7, c_idle) | node66(c_p2, s7) | node65(c_p2, s7) | node64(c_p2, s7) | node63(c_p2, s7) | node62(c_p2, s7))),
% 50.06/32.69 inference(transitivity,[status(thm)],[13350, 13348])).
% 50.06/32.69 tff(13352,plain,
% 50.06/32.69 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s7, c_idle) | node62(c_p2, s7) | node63(c_p2, s7) | node64(c_p2, s7) | node65(c_p2, s7) | node66(c_p2, s7))),
% 50.06/32.69 inference(quant_inst,[status(thm)],[])).
% 50.06/32.69 tff(13353,plain,
% 50.06/32.69 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | m_processor_v_cmd(c_p2, s7, c_idle) | node66(c_p2, s7) | node65(c_p2, s7) | node64(c_p2, s7) | node63(c_p2, s7) | node62(c_p2, s7)),
% 50.06/32.69 inference(modus_ponens,[status(thm)],[13352, 13351])).
% 50.06/32.69 tff(13354,plain,
% 50.06/32.69 (node66(c_p2, s7) | node65(c_p2, s7) | node64(c_p2, s7) | node63(c_p2, s7)),
% 50.06/32.69 inference(unit_resolution,[status(thm)],[13353, 1508, 13334, 13332])).
% 50.06/32.69 tff(13355,plain,
% 50.06/32.69 ($false),
% 50.06/32.69 inference(unit_resolution,[status(thm)],[13354, 13347, 13343, 13339, 13338])).
% 50.06/32.69 tff(13356,plain,(node65(c_p2, s7) | node62(c_p2, s7) | m_processor_v_cmd(c_p2, s7, c_idle) | m_processor_v_master(c_p2, s7)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.69 tff(13357,plain,
% 50.06/32.69 (node65(c_p2, s7)),
% 50.06/32.69 inference(unit_resolution,[status(thm)],[13356, 13333, 13332, 13334])).
% 50.06/32.69 tff(13358,plain,
% 50.06/32.69 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p2, s7) | (~node65(c_p2, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p2, s7) | (~node65(c_p2, s7)))),
% 50.06/32.69 inference(rewrite,[status(thm)],[])).
% 50.06/32.69 tff(13359,plain,
% 50.06/32.69 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p2, s7) | (~node65(c_p2, s7)))),
% 50.06/32.69 inference(quant_inst,[status(thm)],[])).
% 50.06/32.69 tff(13360,plain,
% 50.06/32.69 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p2, s7) | (~node65(c_p2, s7))),
% 50.06/32.69 inference(modus_ponens,[status(thm)],[13359, 13358])).
% 50.06/32.69 tff(13361,plain,
% 50.06/32.69 ($false),
% 50.06/32.69 inference(unit_resolution,[status(thm)],[13360, 1457, 13333, 13357])).
% 50.06/32.69 tff(13362,plain,(m_processor_v_master(c_p2, s7) | m_processor_v_cmd(c_p2, s7, c_idle) | node62(c_p2, s7)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.69 tff(13363,plain,
% 50.06/32.69 (node62(c_p2, s7)),
% 50.06/32.69 inference(unit_resolution,[status(thm)],[13362, 13333, 13332])).
% 50.06/32.69 tff(13364,plain,
% 50.06/32.69 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p2, s7) | (~node62(c_p2, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p2, s7) | (~node62(c_p2, s7)))),
% 50.06/32.69 inference(rewrite,[status(thm)],[])).
% 50.06/32.69 tff(13365,plain,
% 50.06/32.69 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p2, s7) | (~node62(c_p2, s7)))),
% 50.06/32.69 inference(quant_inst,[status(thm)],[])).
% 50.06/32.69 tff(13366,plain,
% 50.06/32.69 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p2, s7) | (~node62(c_p2, s7))),
% 50.06/32.69 inference(modus_ponens,[status(thm)],[13365, 13364])).
% 50.06/32.69 tff(13367,plain,
% 50.06/32.69 ($false),
% 50.06/32.69 inference(unit_resolution,[status(thm)],[13366, 1493, 13333, 13363])).
% 50.06/32.69 tff(13368,plain,(m_processor_v_master(c_p2, s7) | m_processor_v_cmd(c_p2, s7, c_idle)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.69 tff(13369,plain,
% 50.06/32.69 (m_processor_v_master(c_p2, s7)),
% 50.06/32.69 inference(unit_resolution,[status(thm)],[13368, 13331])).
% 50.06/32.69 tff(13370,plain,
% 50.06/32.69 (((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | (node16(s7) | (~m_processor_v_master(c_p2, s7)))) <=> ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | node16(s7) | (~m_processor_v_master(c_p2, s7)))),
% 50.06/32.69 inference(rewrite,[status(thm)],[])).
% 50.06/32.69 tff(13371,plain,
% 50.06/32.69 ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | (node16(s7) | (~m_processor_v_master(c_p2, s7)))),
% 50.06/32.69 inference(quant_inst,[status(thm)],[])).
% 50.06/32.69 tff(13372,plain,
% 50.06/32.69 ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | node16(s7) | (~m_processor_v_master(c_p2, s7))),
% 50.06/32.69 inference(modus_ponens,[status(thm)],[13371, 13370])).
% 50.06/32.69 tff(13373,plain,
% 50.06/32.69 ($false),
% 50.06/32.69 inference(unit_resolution,[status(thm)],[13372, 1545, 13369, 13192])).
% 50.06/32.69 tff(13374,plain,((~m_processor_v_master(c_p1, s7)) | m_processor_v_state(c_p1, s7, c_owned) | m_main_v_CMD(s7, c_read_h_shared) | m_main_v_CMD(s7, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.69 tff(13375,plain,
% 50.06/32.69 (m_main_v_CMD(s7, c_read_h_owned)),
% 50.06/32.69 inference(unit_resolution,[status(thm)],[13374, 13187, 4, 13153])).
% 50.06/32.69 tff(13376,assumption,(~m_processor_v_CMD(c_p1, s7, c_read_h_owned)), introduced(assumption)).
% 50.06/32.69 tff(13377,assumption,(m_main_v_CMD(s7, c_read_h_owned)), introduced(assumption)).
% 50.06/32.69 tff(13378,plain,
% 50.06/32.69 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s7, c_read_h_owned) | (~m_main_v_CMD(s7, c_read_h_owned)) | (~node3(s7)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | (~m_main_v_CMD(s7, c_read_h_owned)) | (~node3(s7)))),
% 50.06/32.69 inference(rewrite,[status(thm)],[])).
% 50.06/32.69 tff(13379,plain,
% 50.06/32.69 (((~m_main_v_CMD(s7, c_read_h_owned)) | (~node3(s7)) | m_processor_v_CMD(c_p1, s7, c_read_h_owned)) <=> (m_processor_v_CMD(c_p1, s7, c_read_h_owned) | (~m_main_v_CMD(s7, c_read_h_owned)) | (~node3(s7)))),
% 50.06/32.69 inference(rewrite,[status(thm)],[])).
% 50.06/32.69 tff(13380,plain,
% 50.06/32.69 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s7, c_read_h_owned)) | (~node3(s7)) | m_processor_v_CMD(c_p1, s7, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s7, c_read_h_owned) | (~m_main_v_CMD(s7, c_read_h_owned)) | (~node3(s7))))),
% 50.06/32.69 inference(monotonicity,[status(thm)],[13379])).
% 50.06/32.69 tff(13381,plain,
% 50.06/32.69 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s7, c_read_h_owned)) | (~node3(s7)) | m_processor_v_CMD(c_p1, s7, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | (~m_main_v_CMD(s7, c_read_h_owned)) | (~node3(s7)))),
% 50.06/32.69 inference(transitivity,[status(thm)],[13380, 13378])).
% 50.06/32.69 tff(13382,plain,
% 50.06/32.69 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s7, c_read_h_owned)) | (~node3(s7)) | m_processor_v_CMD(c_p1, s7, c_read_h_owned))),
% 50.06/32.69 inference(quant_inst,[status(thm)],[])).
% 50.06/32.69 tff(13383,plain,
% 50.06/32.69 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | (~m_main_v_CMD(s7, c_read_h_owned)) | (~node3(s7))),
% 50.06/32.69 inference(modus_ponens,[status(thm)],[13382, 13381])).
% 50.06/32.69 tff(13384,plain,
% 50.06/32.69 ($false),
% 50.06/32.69 inference(unit_resolution,[status(thm)],[13383, 1945, 13178, 13377, 13376])).
% 50.06/32.69 tff(13385,plain,(m_processor_v_CMD(c_p1, s7, c_read_h_owned) | (~m_main_v_CMD(s7, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 50.06/32.69 tff(13386,plain,
% 50.06/32.69 (m_processor_v_CMD(c_p1, s7, c_read_h_owned)),
% 50.06/32.69 inference(unit_resolution,[status(thm)],[13385, 13375])).
% 50.06/32.69 tff(13387,plain,
% 50.06/32.69 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s7)) | m_processor_v_abort(c_p1, s7) | node47(c_p1, s7) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)) | m_processor_v_waiting(c_p1, s8) | (~node53(c_p1, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s7)) | m_processor_v_abort(c_p1, s7) | node47(c_p1, s7) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)) | m_processor_v_waiting(c_p1, s8) | (~node53(c_p1, s7, s8)))),
% 50.06/32.69 inference(rewrite,[status(thm)],[])).
% 50.06/32.69 tff(13388,plain,
% 50.06/32.69 ((m_processor_v_waiting(c_p1, s8) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)) | (~m_processor_v_master(c_p1, s7)) | m_processor_v_abort(c_p1, s7) | node47(c_p1, s7) | (~node53(c_p1, s7, s8))) <=> ((~m_processor_v_master(c_p1, s7)) | m_processor_v_abort(c_p1, s7) | node47(c_p1, s7) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)) | m_processor_v_waiting(c_p1, s8) | (~node53(c_p1, s7, s8)))),
% 50.06/32.69 inference(rewrite,[status(thm)],[])).
% 50.06/32.69 tff(13389,plain,
% 50.06/32.69 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s8) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)) | (~m_processor_v_master(c_p1, s7)) | m_processor_v_abort(c_p1, s7) | node47(c_p1, s7) | (~node53(c_p1, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s7)) | m_processor_v_abort(c_p1, s7) | node47(c_p1, s7) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)) | m_processor_v_waiting(c_p1, s8) | (~node53(c_p1, s7, s8))))),
% 50.06/32.69 inference(monotonicity,[status(thm)],[13388])).
% 50.06/32.69 tff(13390,plain,
% 50.06/32.69 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s8) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)) | (~m_processor_v_master(c_p1, s7)) | m_processor_v_abort(c_p1, s7) | node47(c_p1, s7) | (~node53(c_p1, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s7)) | m_processor_v_abort(c_p1, s7) | node47(c_p1, s7) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)) | m_processor_v_waiting(c_p1, s8) | (~node53(c_p1, s7, s8)))),
% 50.06/32.69 inference(transitivity,[status(thm)],[13389, 13387])).
% 50.06/32.69 tff(13391,plain,
% 50.06/32.69 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s8) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)) | (~m_processor_v_master(c_p1, s7)) | m_processor_v_abort(c_p1, s7) | node47(c_p1, s7) | (~node53(c_p1, s7, s8)))),
% 50.06/32.69 inference(quant_inst,[status(thm)],[])).
% 50.06/32.69 tff(13392,plain,
% 50.06/32.69 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s7)) | m_processor_v_abort(c_p1, s7) | node47(c_p1, s7) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)) | m_processor_v_waiting(c_p1, s8) | (~node53(c_p1, s7, s8))),
% 50.06/32.69 inference(modus_ponens,[status(thm)],[13391, 13390])).
% 50.06/32.69 tff(13393,plain,
% 50.06/32.69 ((~m_processor_v_master(c_p1, s7)) | m_processor_v_abort(c_p1, s7) | node47(c_p1, s7) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)) | m_processor_v_waiting(c_p1, s8)),
% 50.06/32.69 inference(unit_resolution,[status(thm)],[13392, 640, 13164])).
% 50.06/32.69 tff(13394,plain,
% 50.06/32.69 (node47(c_p1, s7)),
% 50.06/32.69 inference(unit_resolution,[status(thm)],[13393, 13386, 13160, 13153, 13050])).
% 50.06/32.69 tff(13395,plain,
% 50.06/32.69 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p1, s7, c_read_h_shared) | (~node47(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | (~node47(c_p1, s7)))),
% 50.06/32.69 inference(rewrite,[status(thm)],[])).
% 50.06/32.69 tff(13396,plain,
% 50.06/32.69 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p1, s7, c_read_h_shared) | (~node47(c_p1, s7)))),
% 50.06/32.70 inference(quant_inst,[status(thm)],[])).
% 50.06/32.70 tff(13397,plain,
% 50.06/32.70 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | (~node47(c_p1, s7))),
% 50.06/32.70 inference(modus_ponens,[status(thm)],[13396, 13395])).
% 50.06/32.70 tff(13398,plain,
% 50.06/32.70 ($false),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13397, 657, 13172, 13394])).
% 50.06/32.70 tff(13399,plain,(m_processor_v_state(c_p1, s7, c_owned) | node67(s9) | m_processor_v_state(c_p1, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.70 tff(13400,plain,
% 50.06/32.70 (m_processor_v_state(c_p1, s7, c_owned)),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13399, 53, 5949])).
% 50.06/32.70 tff(13401,plain,
% 50.06/32.70 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s7, c_invalid)) | (~m_processor_v_state(c_p1, s7, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s7, c_invalid)) | (~m_processor_v_state(c_p1, s7, c_owned)))),
% 50.06/32.70 inference(rewrite,[status(thm)],[])).
% 50.06/32.70 tff(13402,plain,
% 50.06/32.70 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s7, c_invalid)) | (~m_processor_v_state(c_p1, s7, c_owned)))),
% 50.06/32.70 inference(quant_inst,[status(thm)],[])).
% 50.06/32.70 tff(13403,plain,
% 50.06/32.70 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s7, c_invalid)) | (~m_processor_v_state(c_p1, s7, c_owned))),
% 50.06/32.70 inference(modus_ponens,[status(thm)],[13402, 13401])).
% 50.06/32.70 tff(13404,plain,
% 50.06/32.70 (~m_processor_v_state(c_p1, s7, c_invalid)),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13403, 137, 13400])).
% 50.06/32.70 tff(13405,assumption,(~m_processor_v_master(c_p1, s6)), introduced(assumption)).
% 50.06/32.70 tff(13406,assumption,(~m_processor_v_abort(c_p1, s6)), introduced(assumption)).
% 50.06/32.70 tff(13407,plain,
% 50.06/32.70 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p1, s6, c_shared) | (~node36(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p1, s6, c_shared) | (~node36(c_p1, s6)))),
% 50.06/32.70 inference(rewrite,[status(thm)],[])).
% 50.06/32.70 tff(13408,plain,
% 50.06/32.70 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p1, s6, c_shared) | (~node36(c_p1, s6)))),
% 50.06/32.70 inference(quant_inst,[status(thm)],[])).
% 50.06/32.70 tff(13409,plain,
% 50.06/32.70 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p1, s6, c_shared) | (~node36(c_p1, s6))),
% 50.06/32.70 inference(modus_ponens,[status(thm)],[13408, 13407])).
% 50.06/32.70 tff(13410,plain,
% 50.06/32.70 (~node36(c_p1, s6)),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13409, 167, 1])).
% 50.06/32.70 tff(13411,assumption,(~node37(c_p1, s6, s7)), introduced(assumption)).
% 50.06/32.70 tff(13412,assumption,(~node38(c_p1, s6, s7)), introduced(assumption)).
% 50.06/32.70 tff(13413,plain,
% 50.06/32.70 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s6, s7)) | node38(c_p1, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s6, s7)) | node38(c_p1, s6, s7))),
% 50.06/32.70 inference(rewrite,[status(thm)],[])).
% 50.06/32.70 tff(13414,plain,
% 50.06/32.70 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s6, s7)) | node38(c_p1, s6, s7))),
% 50.06/32.70 inference(quant_inst,[status(thm)],[])).
% 50.06/32.70 tff(13415,plain,
% 50.06/32.70 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s6, s7)) | node38(c_p1, s6, s7)),
% 50.06/32.70 inference(modus_ponens,[status(thm)],[13414, 13413])).
% 50.06/32.70 tff(13416,plain,
% 50.06/32.70 ($false),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13415, 210, 2344, 13412])).
% 50.06/32.70 tff(13417,plain,(node38(c_p1, s6, s7)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.70 tff(13418,plain,
% 50.06/32.70 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_abort(c_p1, s6) | node36(c_p1, s6) | node37(c_p1, s6, s7) | (~node38(c_p1, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_abort(c_p1, s6) | node36(c_p1, s6) | node37(c_p1, s6, s7) | (~node38(c_p1, s6, s7)))),
% 50.06/32.70 inference(rewrite,[status(thm)],[])).
% 50.06/32.70 tff(13419,plain,
% 50.06/32.70 ((m_processor_v_state(c_p1, s6, c_shared) | node36(c_p1, s6) | m_processor_v_master(c_p1, s6) | node37(c_p1, s6, s7) | (~node38(c_p1, s6, s7)) | m_processor_v_abort(c_p1, s6)) <=> (m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_abort(c_p1, s6) | node36(c_p1, s6) | node37(c_p1, s6, s7) | (~node38(c_p1, s6, s7)))),
% 50.06/32.70 inference(rewrite,[status(thm)],[])).
% 50.06/32.70 tff(13420,plain,
% 50.06/32.70 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s6, c_shared) | node36(c_p1, s6) | m_processor_v_master(c_p1, s6) | node37(c_p1, s6, s7) | (~node38(c_p1, s6, s7)) | m_processor_v_abort(c_p1, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_abort(c_p1, s6) | node36(c_p1, s6) | node37(c_p1, s6, s7) | (~node38(c_p1, s6, s7))))),
% 50.06/32.70 inference(monotonicity,[status(thm)],[13419])).
% 50.06/32.70 tff(13421,plain,
% 50.06/32.70 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s6, c_shared) | node36(c_p1, s6) | m_processor_v_master(c_p1, s6) | node37(c_p1, s6, s7) | (~node38(c_p1, s6, s7)) | m_processor_v_abort(c_p1, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_abort(c_p1, s6) | node36(c_p1, s6) | node37(c_p1, s6, s7) | (~node38(c_p1, s6, s7)))),
% 50.06/32.70 inference(transitivity,[status(thm)],[13420, 13418])).
% 50.06/32.70 tff(13422,plain,
% 50.06/32.70 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p1, s6, c_shared) | node36(c_p1, s6) | m_processor_v_master(c_p1, s6) | node37(c_p1, s6, s7) | (~node38(c_p1, s6, s7)) | m_processor_v_abort(c_p1, s6))),
% 50.06/32.70 inference(quant_inst,[status(thm)],[])).
% 50.06/32.70 tff(13423,plain,
% 50.06/32.70 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_abort(c_p1, s6) | node36(c_p1, s6) | node37(c_p1, s6, s7) | (~node38(c_p1, s6, s7))),
% 50.06/32.70 inference(modus_ponens,[status(thm)],[13422, 13421])).
% 50.06/32.70 tff(13424,plain,
% 50.06/32.70 ($false),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13423, 225, 1, 13405, 13417, 13411, 13406, 13410])).
% 50.06/32.70 tff(13425,plain,(m_processor_v_abort(c_p1, s6) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_master(c_p1, s6) | node37(c_p1, s6, s7)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.70 tff(13426,plain,
% 50.06/32.70 (node37(c_p1, s6, s7)),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13425, 13405, 13406, 1])).
% 50.06/32.70 tff(13427,assumption,(node37(c_p1, s6, s7)), introduced(assumption)).
% 50.06/32.70 tff(13428,assumption,(m_processor_v_state(c_p1, s7, c_shared)), introduced(assumption)).
% 50.06/32.70 tff(13429,plain,
% 50.06/32.70 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s6, c_shared) | (~m_processor_v_state(c_p1, s7, c_shared)) | (~node37(c_p1, s6, s7)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s6, c_shared) | (~m_processor_v_state(c_p1, s7, c_shared)) | (~node37(c_p1, s6, s7)))),
% 50.06/32.70 inference(rewrite,[status(thm)],[])).
% 50.06/32.70 tff(13430,plain,
% 50.06/32.70 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s6, c_shared) | (~m_processor_v_state(c_p1, s7, c_shared)) | (~node37(c_p1, s6, s7)))),
% 50.06/32.70 inference(quant_inst,[status(thm)],[])).
% 50.06/32.70 tff(13431,plain,
% 50.06/32.70 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s6, c_shared) | (~m_processor_v_state(c_p1, s7, c_shared)) | (~node37(c_p1, s6, s7))),
% 50.06/32.70 inference(modus_ponens,[status(thm)],[13430, 13429])).
% 50.06/32.70 tff(13432,plain,
% 50.06/32.70 ($false),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13431, 182, 1, 13428, 13427])).
% 50.06/32.70 tff(13433,plain,((~m_processor_v_state(c_p1, s7, c_shared)) | m_processor_v_state(c_p1, s6, c_shared) | (~node37(c_p1, s6, s7))), inference(lemma,lemma(discharge,[]))).
% 50.06/32.70 tff(13434,plain,
% 50.06/32.70 (~m_processor_v_state(c_p1, s7, c_shared)),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13433, 13426, 1])).
% 50.06/32.70 tff(13435,assumption,(m_processor_v_state(c_p1, s7, c_owned)), introduced(assumption)).
% 50.06/32.70 tff(13436,plain,
% 50.06/32.70 (~m_processor_v_state(c_p1, s7, c_invalid)),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13403, 137, 13435])).
% 50.06/32.70 tff(13437,plain,
% 50.06/32.70 (m_processor_v_state(c_p1, s6, c_invalid)),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[156, 153, 1, 106])).
% 50.06/32.70 tff(13438,assumption,(node32(c_p1, s6, s7)), introduced(assumption)).
% 50.06/32.70 tff(13439,assumption,(m_processor_v_state(c_p1, s6, c_invalid)), introduced(assumption)).
% 50.06/32.70 tff(13440,plain,
% 50.06/32.70 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s6, c_invalid)) | m_processor_v_state(c_p1, s7, c_invalid) | (~node32(c_p1, s6, s7)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s6, c_invalid)) | m_processor_v_state(c_p1, s7, c_invalid) | (~node32(c_p1, s6, s7)))),
% 50.06/32.70 inference(rewrite,[status(thm)],[])).
% 50.06/32.70 tff(13441,plain,
% 50.06/32.70 (((~node32(c_p1, s6, s7)) | (~m_processor_v_state(c_p1, s6, c_invalid)) | m_processor_v_state(c_p1, s7, c_invalid)) <=> ((~m_processor_v_state(c_p1, s6, c_invalid)) | m_processor_v_state(c_p1, s7, c_invalid) | (~node32(c_p1, s6, s7)))),
% 50.06/32.70 inference(rewrite,[status(thm)],[])).
% 50.06/32.70 tff(13442,plain,
% 50.06/32.70 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s6, s7)) | (~m_processor_v_state(c_p1, s6, c_invalid)) | m_processor_v_state(c_p1, s7, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s6, c_invalid)) | m_processor_v_state(c_p1, s7, c_invalid) | (~node32(c_p1, s6, s7))))),
% 50.06/32.70 inference(monotonicity,[status(thm)],[13441])).
% 50.06/32.70 tff(13443,plain,
% 50.06/32.70 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s6, s7)) | (~m_processor_v_state(c_p1, s6, c_invalid)) | m_processor_v_state(c_p1, s7, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s6, c_invalid)) | m_processor_v_state(c_p1, s7, c_invalid) | (~node32(c_p1, s6, s7)))),
% 50.06/32.70 inference(transitivity,[status(thm)],[13442, 13440])).
% 50.06/32.70 tff(13444,plain,
% 50.06/32.70 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s6, s7)) | (~m_processor_v_state(c_p1, s6, c_invalid)) | m_processor_v_state(c_p1, s7, c_invalid))),
% 50.06/32.70 inference(quant_inst,[status(thm)],[])).
% 50.06/32.70 tff(13445,plain,
% 50.06/32.70 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s6, c_invalid)) | m_processor_v_state(c_p1, s7, c_invalid) | (~node32(c_p1, s6, s7))),
% 50.06/32.70 inference(modus_ponens,[status(thm)],[13444, 13443])).
% 50.06/32.70 tff(13446,plain,
% 50.06/32.70 ($false),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13445, 380, 13439, 13102, 13438])).
% 50.06/32.70 tff(13447,plain,((~node32(c_p1, s6, s7)) | (~m_processor_v_state(c_p1, s6, c_invalid)) | m_processor_v_state(c_p1, s7, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.70 tff(13448,plain,
% 50.06/32.70 (~node32(c_p1, s6, s7)),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13447, 13437, 13436])).
% 50.06/32.70 tff(13449,plain,
% 50.06/32.70 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s6, c_owned) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~node37(c_p1, s6, s7)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s6, c_owned) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~node37(c_p1, s6, s7)))),
% 50.06/32.70 inference(rewrite,[status(thm)],[])).
% 50.06/32.70 tff(13450,plain,
% 50.06/32.70 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s6, c_owned) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~node37(c_p1, s6, s7)))),
% 50.06/32.70 inference(quant_inst,[status(thm)],[])).
% 50.06/32.70 tff(13451,plain,
% 50.06/32.70 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s6, c_owned) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~node37(c_p1, s6, s7))),
% 50.06/32.70 inference(modus_ponens,[status(thm)],[13450, 13449])).
% 50.06/32.70 tff(13452,plain,
% 50.06/32.70 ($false),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13451, 182, 106, 13435, 13427])).
% 50.06/32.70 tff(13453,plain,((~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_state(c_p1, s6, c_owned) | (~node37(c_p1, s6, s7))), inference(lemma,lemma(discharge,[]))).
% 50.06/32.70 tff(13454,plain,
% 50.06/32.70 (~node37(c_p1, s6, s7)),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13453, 106, 13435])).
% 50.06/32.70 tff(13455,plain,
% 50.06/32.70 (m_processor_v_abort(c_p1, s6)),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13425, 13454, 13405, 1])).
% 50.06/32.70 tff(13456,plain,
% 50.06/32.70 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | ((~m_processor_v_abort(c_p1, s6)) | (~node38(c_p1, s6, s7)) | node32(c_p1, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~m_processor_v_abort(c_p1, s6)) | (~node38(c_p1, s6, s7)) | node32(c_p1, s6, s7))),
% 50.06/32.70 inference(rewrite,[status(thm)],[])).
% 50.06/32.70 tff(13457,plain,
% 50.06/32.70 ((node32(c_p1, s6, s7) | (~node38(c_p1, s6, s7)) | (~m_processor_v_abort(c_p1, s6))) <=> ((~m_processor_v_abort(c_p1, s6)) | (~node38(c_p1, s6, s7)) | node32(c_p1, s6, s7))),
% 50.06/32.70 inference(rewrite,[status(thm)],[])).
% 50.06/32.70 tff(13458,plain,
% 50.06/32.70 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s6, s7) | (~node38(c_p1, s6, s7)) | (~m_processor_v_abort(c_p1, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | ((~m_processor_v_abort(c_p1, s6)) | (~node38(c_p1, s6, s7)) | node32(c_p1, s6, s7)))),
% 50.06/32.70 inference(monotonicity,[status(thm)],[13457])).
% 50.06/32.70 tff(13459,plain,
% 50.06/32.70 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s6, s7) | (~node38(c_p1, s6, s7)) | (~m_processor_v_abort(c_p1, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~m_processor_v_abort(c_p1, s6)) | (~node38(c_p1, s6, s7)) | node32(c_p1, s6, s7))),
% 50.06/32.70 inference(transitivity,[status(thm)],[13458, 13456])).
% 50.06/32.70 tff(13460,plain,
% 50.06/32.70 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p1, s6, s7) | (~node38(c_p1, s6, s7)) | (~m_processor_v_abort(c_p1, s6)))),
% 50.06/32.70 inference(quant_inst,[status(thm)],[])).
% 50.06/32.70 tff(13461,plain,
% 50.06/32.70 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~m_processor_v_abort(c_p1, s6)) | (~node38(c_p1, s6, s7)) | node32(c_p1, s6, s7)),
% 50.06/32.70 inference(modus_ponens,[status(thm)],[13460, 13459])).
% 50.06/32.70 tff(13462,plain,
% 50.06/32.70 ($false),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13461, 243, 13417, 13455, 13448])).
% 50.06/32.70 tff(13463,plain,(m_processor_v_state(c_p1, s6, c_owned) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_master(c_p1, s6) | (~m_processor_v_state(c_p1, s7, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.06/32.70 tff(13464,plain,
% 50.06/32.70 (~m_processor_v_state(c_p1, s7, c_owned)),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13463, 13405, 106, 1])).
% 50.06/32.70 tff(13465,plain,
% 50.06/32.70 ($false),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13105, 153, 13464, 13434, 13102])).
% 50.06/32.70 tff(13466,plain,(m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s7, c_invalid) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s6, c_owned) | m_processor_v_abort(c_p1, s6)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.70 tff(13467,plain,
% 50.06/32.70 (m_processor_v_abort(c_p1, s6)),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13466, 13102, 13405, 106, 1])).
% 50.06/32.70 tff(13468,plain,
% 50.06/32.70 (~node32(c_p1, s6, s7)),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13447, 13102, 13439])).
% 50.06/32.70 tff(13469,assumption,(~node32(c_p1, s6, s7)), introduced(assumption)).
% 50.06/32.70 tff(13470,assumption,(m_processor_v_abort(c_p1, s6)), introduced(assumption)).
% 50.06/32.70 tff(13471,plain,
% 50.06/32.70 ($false),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13461, 243, 13417, 13470, 13469])).
% 50.06/32.70 tff(13472,plain,(node32(c_p1, s6, s7) | (~m_processor_v_abort(c_p1, s6))), inference(lemma,lemma(discharge,[]))).
% 50.06/32.70 tff(13473,plain,
% 50.06/32.70 ($false),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13472, 13468, 13467])).
% 50.06/32.70 tff(13474,plain,(m_processor_v_state(c_p1, s7, c_invalid) | (~m_processor_v_state(c_p1, s6, c_invalid)) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s6, c_owned) | m_processor_v_state(c_p1, s6, c_shared)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.70 tff(13475,plain,
% 50.06/32.70 (~m_processor_v_state(c_p1, s6, c_invalid)),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13474, 1, 13102, 13405, 106])).
% 50.06/32.70 tff(13476,plain,
% 50.06/32.70 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_state(c_p1, s7, c_owned) | (~node37(c_p1, s6, s7)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_state(c_p1, s7, c_owned) | (~node37(c_p1, s6, s7)))),
% 50.06/32.70 inference(rewrite,[status(thm)],[])).
% 50.06/32.70 tff(13477,plain,
% 50.06/32.70 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_state(c_p1, s7, c_owned) | (~node37(c_p1, s6, s7)))),
% 50.06/32.70 inference(quant_inst,[status(thm)],[])).
% 50.06/32.70 tff(13478,plain,
% 50.06/32.70 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_state(c_p1, s7, c_owned) | (~node37(c_p1, s6, s7))),
% 50.06/32.70 inference(modus_ponens,[status(thm)],[13477, 13476])).
% 50.06/32.70 tff(13479,plain,
% 50.06/32.70 ($false),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13478, 2411, 113, 4, 13427])).
% 50.06/32.70 tff(13480,plain,((~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_state(c_p1, s7, c_owned) | (~node37(c_p1, s6, s7))), inference(lemma,lemma(discharge,[]))).
% 50.06/32.70 tff(13481,plain,
% 50.06/32.70 (~node37(c_p1, s6, s7)),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13480, 113, 4])).
% 50.06/32.70 tff(13482,plain,
% 50.06/32.70 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_state(c_p1, s7, c_owned) | (~node32(c_p1, s6, s7)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_state(c_p1, s7, c_owned) | (~node32(c_p1, s6, s7)))),
% 50.06/32.70 inference(rewrite,[status(thm)],[])).
% 50.06/32.70 tff(13483,plain,
% 50.06/32.70 (((~node32(c_p1, s6, s7)) | (~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_state(c_p1, s7, c_owned)) <=> ((~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_state(c_p1, s7, c_owned) | (~node32(c_p1, s6, s7)))),
% 50.06/32.70 inference(rewrite,[status(thm)],[])).
% 50.06/32.70 tff(13484,plain,
% 50.06/32.70 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s6, s7)) | (~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_state(c_p1, s7, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_state(c_p1, s7, c_owned) | (~node32(c_p1, s6, s7))))),
% 50.06/32.70 inference(monotonicity,[status(thm)],[13483])).
% 50.06/32.70 tff(13485,plain,
% 50.06/32.70 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s6, s7)) | (~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_state(c_p1, s7, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_state(c_p1, s7, c_owned) | (~node32(c_p1, s6, s7)))),
% 50.06/32.70 inference(transitivity,[status(thm)],[13484, 13482])).
% 50.06/32.70 tff(13486,plain,
% 50.06/32.70 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s6, s7)) | (~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_state(c_p1, s7, c_owned))),
% 50.06/32.70 inference(quant_inst,[status(thm)],[])).
% 50.06/32.70 tff(13487,plain,
% 50.06/32.70 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_state(c_p1, s7, c_owned) | (~node32(c_p1, s6, s7))),
% 50.06/32.70 inference(modus_ponens,[status(thm)],[13486, 13485])).
% 50.06/32.70 tff(13488,plain,
% 50.06/32.70 ($false),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13487, 380, 113, 4, 13438])).
% 50.06/32.70 tff(13489,plain,((~node32(c_p1, s6, s7)) | (~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_state(c_p1, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.70 tff(13490,plain,
% 50.06/32.70 (~node32(c_p1, s6, s7)),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13489, 113, 4])).
% 50.06/32.70 tff(13491,plain,
% 50.06/32.70 (~m_processor_v_abort(c_p1, s6)),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13472, 13490])).
% 50.06/32.70 tff(13492,plain,
% 50.06/32.70 ($false),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13425, 13491, 13481, 13405, 1])).
% 50.06/32.70 tff(13493,plain,((~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.70 tff(13494,plain,
% 50.06/32.70 (~m_processor_v_state(c_p1, s6, c_owned)),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13493, 1, 13405, 4])).
% 50.06/32.70 tff(13495,plain,
% 50.06/32.70 ($false),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[158, 13494, 1, 143])).
% 50.06/32.70 tff(13496,plain,(m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s6, c_invalid) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.70 tff(13497,plain,
% 50.06/32.70 ($false),
% 50.06/32.70 inference(unit_resolution,[status(thm)],[13496, 13475, 1, 4, 13405])).
% 50.06/32.71 tff(13498,plain,(m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s7, c_owned) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s7, c_invalid) | m_processor_v_state(c_p1, s6, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.71 tff(13499,plain,
% 50.06/32.71 (m_processor_v_state(c_p1, s6, c_owned)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13498, 1, 4, 13405, 13102])).
% 50.06/32.71 tff(13500,plain,
% 50.06/32.71 ($false),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13493, 13499, 1, 4, 13405])).
% 50.06/32.71 tff(13501,plain,(m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s7, c_owned) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s7, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.71 tff(13502,plain,
% 50.06/32.71 (m_processor_v_state(c_p1, s6, c_shared)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13501, 4, 13102, 13405])).
% 50.06/32.71 tff(13503,plain,
% 50.06/32.71 (~m_processor_v_state(c_p1, s6, c_shared)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[129, 113])).
% 50.06/32.71 tff(13504,plain,
% 50.06/32.71 ($false),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13493, 13503, 113, 13405, 4])).
% 50.06/32.71 tff(13505,plain,((~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.71 tff(13506,plain,
% 50.06/32.71 (~m_processor_v_state(c_p1, s6, c_owned)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13505, 4, 13405])).
% 50.06/32.71 tff(13507,plain,
% 50.06/32.71 (~node56(c_p1, s4)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[6815, 5656])).
% 50.06/32.71 tff(13508,plain,
% 50.06/32.71 (~m_processor_v_writable(c_p1, s4)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[6573, 13507])).
% 50.06/32.71 tff(13509,plain,
% 50.06/32.71 (~node67(s4)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[6565, 13508])).
% 50.06/32.71 tff(13510,plain,
% 50.06/32.71 (~node56(c_p1, s3)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[5664, 5656])).
% 50.06/32.71 tff(13511,plain,
% 50.06/32.71 (~m_processor_v_writable(c_p1, s3)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[2612, 13510])).
% 50.06/32.71 tff(13512,plain,
% 50.06/32.71 (~node67(s3)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[2604, 13511])).
% 50.06/32.71 tff(13513,plain,
% 50.06/32.71 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_state(c_p1, s7, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_state(c_p1, s7, c_shared)))),
% 50.06/32.71 inference(rewrite,[status(thm)],[])).
% 50.06/32.71 tff(13514,plain,
% 50.06/32.71 (((~m_processor_v_state(c_p1, s7, c_shared)) | (~m_processor_v_state(c_p1, s7, c_owned))) <=> ((~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_state(c_p1, s7, c_shared)))),
% 50.06/32.71 inference(rewrite,[status(thm)],[])).
% 50.06/32.71 tff(13515,plain,
% 50.06/32.71 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s7, c_shared)) | (~m_processor_v_state(c_p1, s7, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_state(c_p1, s7, c_shared))))),
% 50.06/32.71 inference(monotonicity,[status(thm)],[13514])).
% 50.06/32.71 tff(13516,plain,
% 50.06/32.71 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s7, c_shared)) | (~m_processor_v_state(c_p1, s7, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_state(c_p1, s7, c_shared)))),
% 50.06/32.71 inference(transitivity,[status(thm)],[13515, 13513])).
% 50.06/32.71 tff(13517,plain,
% 50.06/32.71 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s7, c_shared)) | (~m_processor_v_state(c_p1, s7, c_owned)))),
% 50.06/32.71 inference(quant_inst,[status(thm)],[])).
% 50.06/32.71 tff(13518,plain,
% 50.06/32.71 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_state(c_p1, s7, c_shared))),
% 50.06/32.71 inference(modus_ponens,[status(thm)],[13517, 13516])).
% 50.06/32.71 tff(13519,plain,
% 50.06/32.71 ($false),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13518, 121, 13435, 13428])).
% 50.06/32.71 tff(13520,plain,((~m_processor_v_state(c_p1, s7, c_shared)) | (~m_processor_v_state(c_p1, s7, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.06/32.71 tff(13521,plain,
% 50.06/32.71 (~m_processor_v_state(c_p1, s7, c_shared)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13520, 13435])).
% 50.06/32.71 tff(13522,assumption,(~m_processor_v_CMD(c_p1, s6, c_read_h_owned)), introduced(assumption)).
% 50.06/32.71 tff(13523,assumption,(~node36(c_p1, s6)), introduced(assumption)).
% 50.06/32.71 tff(13524,plain,
% 50.06/32.71 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_state(c_p1, s7, c_shared) | (~node32(c_p1, s6, s7)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_state(c_p1, s7, c_shared) | (~node32(c_p1, s6, s7)))),
% 50.06/32.71 inference(rewrite,[status(thm)],[])).
% 50.06/32.71 tff(13525,plain,
% 50.06/32.71 (((~node32(c_p1, s6, s7)) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_state(c_p1, s7, c_shared)) <=> ((~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_state(c_p1, s7, c_shared) | (~node32(c_p1, s6, s7)))),
% 50.06/32.71 inference(rewrite,[status(thm)],[])).
% 50.06/32.71 tff(13526,plain,
% 50.06/32.71 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s6, s7)) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_state(c_p1, s7, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_state(c_p1, s7, c_shared) | (~node32(c_p1, s6, s7))))),
% 50.06/32.71 inference(monotonicity,[status(thm)],[13525])).
% 50.06/32.71 tff(13527,plain,
% 50.06/32.71 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s6, s7)) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_state(c_p1, s7, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_state(c_p1, s7, c_shared) | (~node32(c_p1, s6, s7)))),
% 50.06/32.71 inference(transitivity,[status(thm)],[13526, 13524])).
% 50.06/32.71 tff(13528,plain,
% 50.06/32.71 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s6, s7)) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_state(c_p1, s7, c_shared))),
% 50.06/32.71 inference(quant_inst,[status(thm)],[])).
% 50.06/32.71 tff(13529,plain,
% 50.06/32.71 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_state(c_p1, s7, c_shared) | (~node32(c_p1, s6, s7))),
% 50.06/32.71 inference(modus_ponens,[status(thm)],[13528, 13527])).
% 50.06/32.71 tff(13530,plain,
% 50.06/32.71 ($false),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13529, 380, 114, 13063, 13438])).
% 50.06/32.71 tff(13531,plain,((~node32(c_p1, s6, s7)) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_state(c_p1, s7, c_shared)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.71 tff(13532,plain,
% 50.06/32.71 (~node32(c_p1, s6, s7)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13531, 13063, 114])).
% 50.06/32.71 tff(13533,plain,
% 50.06/32.71 (~m_processor_v_abort(c_p1, s6)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13472, 13532])).
% 50.06/32.71 tff(13534,plain,
% 50.06/32.71 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s6) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_abort(c_p1, s6) | node36(c_p1, s6) | m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_state(c_p1, s7, c_invalid) | (~node38(c_p1, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s6) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_abort(c_p1, s6) | node36(c_p1, s6) | m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_state(c_p1, s7, c_invalid) | (~node38(c_p1, s6, s7)))),
% 50.06/32.71 inference(rewrite,[status(thm)],[])).
% 50.06/32.71 tff(13535,plain,
% 50.06/32.71 (((~m_processor_v_state(c_p1, s6, c_shared)) | node36(c_p1, s6) | m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s7, c_invalid) | (~node38(c_p1, s6, s7)) | m_processor_v_abort(c_p1, s6)) <=> (m_processor_v_master(c_p1, s6) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_abort(c_p1, s6) | node36(c_p1, s6) | m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_state(c_p1, s7, c_invalid) | (~node38(c_p1, s6, s7)))),
% 50.06/32.71 inference(rewrite,[status(thm)],[])).
% 50.06/32.71 tff(13536,plain,
% 50.06/32.71 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s6, c_shared)) | node36(c_p1, s6) | m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s7, c_invalid) | (~node38(c_p1, s6, s7)) | m_processor_v_abort(c_p1, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s6) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_abort(c_p1, s6) | node36(c_p1, s6) | m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_state(c_p1, s7, c_invalid) | (~node38(c_p1, s6, s7))))),
% 50.06/32.71 inference(monotonicity,[status(thm)],[13535])).
% 50.06/32.71 tff(13537,plain,
% 50.06/32.71 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s6, c_shared)) | node36(c_p1, s6) | m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s7, c_invalid) | (~node38(c_p1, s6, s7)) | m_processor_v_abort(c_p1, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s6) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_abort(c_p1, s6) | node36(c_p1, s6) | m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_state(c_p1, s7, c_invalid) | (~node38(c_p1, s6, s7)))),
% 50.06/32.71 inference(transitivity,[status(thm)],[13536, 13534])).
% 50.06/32.71 tff(13538,plain,
% 50.06/32.71 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s6, c_shared)) | node36(c_p1, s6) | m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s7, c_invalid) | (~node38(c_p1, s6, s7)) | m_processor_v_abort(c_p1, s6))),
% 50.06/32.71 inference(quant_inst,[status(thm)],[])).
% 50.06/32.71 tff(13539,plain,
% 50.06/32.71 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s6) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_abort(c_p1, s6) | node36(c_p1, s6) | m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_state(c_p1, s7, c_invalid) | (~node38(c_p1, s6, s7))),
% 50.06/32.71 inference(modus_ponens,[status(thm)],[13538, 13537])).
% 50.06/32.71 tff(13540,plain,
% 50.06/32.71 ($false),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13539, 341, 114, 13405, 13063, 13102, 13417, 13533, 13523])).
% 50.06/32.71 tff(13541,plain,(node36(c_p1, s6) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_state(c_p1, s7, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.71 tff(13542,plain,
% 50.06/32.71 (node36(c_p1, s6)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13541, 13102, 114, 13405, 13063])).
% 50.06/32.71 tff(13543,assumption,(node36(c_p1, s6)), introduced(assumption)).
% 50.06/32.71 tff(13544,assumption,(~m_processor_v_CMD(c_p1, s6, c_invalidate)), introduced(assumption)).
% 50.06/32.71 tff(13545,plain,
% 50.06/32.71 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s6, c_read_h_owned) | (~node36(c_p1, s6)) | m_processor_v_CMD(c_p1, s6, c_invalidate))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | (~node36(c_p1, s6)) | m_processor_v_CMD(c_p1, s6, c_invalidate))),
% 50.06/32.71 inference(rewrite,[status(thm)],[])).
% 50.06/32.71 tff(13546,plain,
% 50.06/32.71 ((m_processor_v_CMD(c_p1, s6, c_invalidate) | (~node36(c_p1, s6)) | m_processor_v_CMD(c_p1, s6, c_read_h_owned)) <=> (m_processor_v_CMD(c_p1, s6, c_read_h_owned) | (~node36(c_p1, s6)) | m_processor_v_CMD(c_p1, s6, c_invalidate))),
% 50.06/32.71 inference(rewrite,[status(thm)],[])).
% 50.06/32.71 tff(13547,plain,
% 50.06/32.71 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s6, c_invalidate) | (~node36(c_p1, s6)) | m_processor_v_CMD(c_p1, s6, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s6, c_read_h_owned) | (~node36(c_p1, s6)) | m_processor_v_CMD(c_p1, s6, c_invalidate)))),
% 50.06/32.71 inference(monotonicity,[status(thm)],[13546])).
% 50.06/32.71 tff(13548,plain,
% 50.06/32.71 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s6, c_invalidate) | (~node36(c_p1, s6)) | m_processor_v_CMD(c_p1, s6, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | (~node36(c_p1, s6)) | m_processor_v_CMD(c_p1, s6, c_invalidate))),
% 50.06/32.71 inference(transitivity,[status(thm)],[13547, 13545])).
% 50.06/32.71 tff(13549,plain,
% 50.06/32.71 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s6, c_invalidate) | (~node36(c_p1, s6)) | m_processor_v_CMD(c_p1, s6, c_read_h_owned))),
% 50.06/32.71 inference(quant_inst,[status(thm)],[])).
% 50.06/32.71 tff(13550,plain,
% 50.06/32.71 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | (~node36(c_p1, s6)) | m_processor_v_CMD(c_p1, s6, c_invalidate)),
% 50.06/32.71 inference(modus_ponens,[status(thm)],[13549, 13548])).
% 50.06/32.71 tff(13551,plain,
% 50.06/32.71 ($false),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13550, 359, 13522, 13544, 13543])).
% 50.06/32.71 tff(13552,plain,(m_processor_v_CMD(c_p1, s6, c_invalidate) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | (~node36(c_p1, s6))), inference(lemma,lemma(discharge,[]))).
% 50.06/32.71 tff(13553,plain,
% 50.06/32.71 (m_processor_v_CMD(c_p1, s6, c_invalidate)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13552, 13542, 13522])).
% 50.06/32.71 tff(13554,assumption,(~node35(c_p1, s6)), introduced(assumption)).
% 50.06/32.71 tff(13555,plain,
% 50.06/32.71 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s6) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_abort(c_p1, s6) | m_processor_v_state(c_p1, s7, c_invalid) | node35(c_p1, s6) | (~node38(c_p1, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s6) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_abort(c_p1, s6) | m_processor_v_state(c_p1, s7, c_invalid) | node35(c_p1, s6) | (~node38(c_p1, s6, s7)))),
% 50.06/32.71 inference(rewrite,[status(thm)],[])).
% 50.06/32.71 tff(13556,plain,
% 50.06/32.71 (((~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_master(c_p1, s6) | node35(c_p1, s6) | m_processor_v_state(c_p1, s7, c_invalid) | (~node38(c_p1, s6, s7)) | m_processor_v_abort(c_p1, s6)) <=> (m_processor_v_master(c_p1, s6) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_abort(c_p1, s6) | m_processor_v_state(c_p1, s7, c_invalid) | node35(c_p1, s6) | (~node38(c_p1, s6, s7)))),
% 50.06/32.71 inference(rewrite,[status(thm)],[])).
% 50.06/32.71 tff(13557,plain,
% 50.06/32.71 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_master(c_p1, s6) | node35(c_p1, s6) | m_processor_v_state(c_p1, s7, c_invalid) | (~node38(c_p1, s6, s7)) | m_processor_v_abort(c_p1, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s6) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_abort(c_p1, s6) | m_processor_v_state(c_p1, s7, c_invalid) | node35(c_p1, s6) | (~node38(c_p1, s6, s7))))),
% 50.06/32.71 inference(monotonicity,[status(thm)],[13556])).
% 50.06/32.71 tff(13558,plain,
% 50.06/32.71 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_master(c_p1, s6) | node35(c_p1, s6) | m_processor_v_state(c_p1, s7, c_invalid) | (~node38(c_p1, s6, s7)) | m_processor_v_abort(c_p1, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s6) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_abort(c_p1, s6) | m_processor_v_state(c_p1, s7, c_invalid) | node35(c_p1, s6) | (~node38(c_p1, s6, s7)))),
% 50.06/32.71 inference(transitivity,[status(thm)],[13557, 13555])).
% 50.06/32.71 tff(13559,plain,
% 50.06/32.71 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_master(c_p1, s6) | node35(c_p1, s6) | m_processor_v_state(c_p1, s7, c_invalid) | (~node38(c_p1, s6, s7)) | m_processor_v_abort(c_p1, s6))),
% 50.06/32.71 inference(quant_inst,[status(thm)],[])).
% 50.06/32.71 tff(13560,plain,
% 50.06/32.71 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s6) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_abort(c_p1, s6) | m_processor_v_state(c_p1, s7, c_invalid) | node35(c_p1, s6) | (~node38(c_p1, s6, s7))),
% 50.06/32.71 inference(modus_ponens,[status(thm)],[13559, 13558])).
% 50.06/32.71 tff(13561,plain,
% 50.06/32.71 ($false),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13560, 301, 114, 13405, 13102, 13417, 13406, 13554])).
% 50.06/32.71 tff(13562,plain,(m_processor_v_abort(c_p1, s6) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s7, c_invalid) | node35(c_p1, s6)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.71 tff(13563,plain,
% 50.06/32.71 (node35(c_p1, s6)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13562, 13102, 114, 13533, 13405])).
% 50.06/32.71 tff(13564,plain,
% 50.06/32.71 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s6, c_invalidate)) | (~node35(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s6, c_invalidate)) | (~node35(c_p1, s6)))),
% 50.06/32.71 inference(rewrite,[status(thm)],[])).
% 50.06/32.71 tff(13565,plain,
% 50.06/32.71 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s6, c_invalidate)) | (~node35(c_p1, s6)))),
% 50.06/32.71 inference(quant_inst,[status(thm)],[])).
% 50.06/32.71 tff(13566,plain,
% 50.06/32.71 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s6, c_invalidate)) | (~node35(c_p1, s6))),
% 50.06/32.71 inference(modus_ponens,[status(thm)],[13565, 13564])).
% 50.06/32.71 tff(13567,plain,
% 50.06/32.71 ($false),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13566, 327, 13563, 13553])).
% 50.06/32.71 tff(13568,plain,(m_processor_v_state(c_p1, s7, c_invalid) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s7, c_shared)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.71 tff(13569,plain,
% 50.06/32.71 (m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13568, 114, 13063, 13102, 13405])).
% 50.06/32.71 tff(13570,assumption,(m_processor_v_CMD(c_p1, s6, c_read_h_owned)), introduced(assumption)).
% 50.06/32.71 tff(13571,plain,
% 50.06/32.71 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s6, c_read_h_owned)) | (~node35(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)) | (~node35(c_p1, s6)))),
% 50.06/32.71 inference(rewrite,[status(thm)],[])).
% 50.06/32.71 tff(13572,plain,
% 50.06/32.71 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s6, c_read_h_owned)) | (~node35(c_p1, s6)))),
% 50.06/32.71 inference(quant_inst,[status(thm)],[])).
% 50.06/32.71 tff(13573,plain,
% 50.06/32.71 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)) | (~node35(c_p1, s6))),
% 50.06/32.71 inference(modus_ponens,[status(thm)],[13572, 13571])).
% 50.06/32.71 tff(13574,plain,
% 50.06/32.71 (~node35(c_p1, s6)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13573, 316, 13570])).
% 50.06/32.71 tff(13575,plain,
% 50.06/32.71 (m_processor_v_abort(c_p1, s6)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13562, 114, 13405, 13102, 13574])).
% 50.06/32.71 tff(13576,plain,
% 50.06/32.71 (node32(c_p1, s6, s7)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13472, 13575])).
% 50.06/32.71 tff(13577,plain,
% 50.06/32.71 ($false),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13529, 380, 114, 13063, 13576])).
% 50.06/32.71 tff(13578,plain,((~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s7, c_invalid) | (~m_processor_v_CMD(c_p1, s6, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 50.06/32.71 tff(13579,plain,
% 50.06/32.71 ($false),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13578, 13569, 114, 13063, 13405, 13102])).
% 50.06/32.71 tff(13580,plain,((~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s7, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.71 tff(13581,plain,
% 50.06/32.71 (~m_processor_v_state(c_p1, s6, c_shared)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13580, 13521, 13102, 13405])).
% 50.06/32.71 tff(13582,plain,
% 50.06/32.71 (m_processor_v_state(c_p1, s7, c_owned)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13501, 1, 13102, 13405])).
% 50.06/32.71 tff(13583,plain,
% 50.06/32.71 (m_processor_v_state(c_p1, s6, c_owned)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13463, 1, 13435, 13405])).
% 50.06/32.71 tff(13584,plain,
% 50.06/32.71 ($false),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[531, 13583, 1, 142, 53])).
% 50.06/32.71 tff(13585,plain,(m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_master(c_p1, s5) | m_processor_v_state(c_p1, s5, c_owned) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_master(c_p1, s6)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.71 tff(13586,plain,
% 50.06/32.71 ($false),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13585, 13582, 1, 53, 13405, 142])).
% 50.06/32.71 tff(13587,plain,(m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_master(c_p1, s6) | m_processor_v_master(c_p1, s5) | m_processor_v_state(c_p1, s7, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.71 tff(13588,plain,
% 50.06/32.71 (m_processor_v_master(c_p1, s5)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13587, 13581, 53, 13102, 13405])).
% 50.06/32.71 tff(13589,assumption,(node17(s5)), introduced(assumption)).
% 50.06/32.71 tff(13590,assumption,(m_processor_v_master(c_p1, s5)), introduced(assumption)).
% 50.06/32.71 tff(13591,plain,
% 50.06/32.71 (((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p1, s5)) | (~node17(s5)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | (~m_processor_v_master(c_p1, s5)) | (~node17(s5)))),
% 50.06/32.71 inference(rewrite,[status(thm)],[])).
% 50.06/32.71 tff(13592,plain,
% 50.06/32.71 ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p1, s5)) | (~node17(s5)))),
% 50.06/32.71 inference(quant_inst,[status(thm)],[])).
% 50.06/32.71 tff(13593,plain,
% 50.06/32.71 ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | (~m_processor_v_master(c_p1, s5)) | (~node17(s5))),
% 50.06/32.71 inference(modus_ponens,[status(thm)],[13592, 13591])).
% 50.06/32.71 tff(13594,plain,
% 50.06/32.71 ($false),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13593, 3344, 13590, 13589])).
% 50.06/32.71 tff(13595,plain,((~m_processor_v_master(c_p1, s5)) | (~node17(s5))), inference(lemma,lemma(discharge,[]))).
% 50.06/32.71 tff(13596,plain,
% 50.06/32.71 (~node17(s5)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13595, 13588])).
% 50.06/32.71 tff(13597,assumption,(~node17(s5)), introduced(assumption)).
% 50.06/32.71 tff(13598,assumption,(m_memory_v_master(c_m, s5)), introduced(assumption)).
% 50.06/32.71 tff(13599,plain,
% 50.06/32.71 ($false),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[7128, 1290, 13598, 13597])).
% 50.06/32.71 tff(13600,plain,(node17(s5) | (~m_memory_v_master(c_m, s5))), inference(lemma,lemma(discharge,[]))).
% 50.06/32.71 tff(13601,plain,
% 50.06/32.71 (~m_memory_v_master(c_m, s5)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13600, 13596])).
% 50.06/32.71 tff(13602,plain,
% 50.06/32.71 (~node29(c_m, s5)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[7136, 13601])).
% 50.06/32.71 tff(13603,plain,
% 50.06/32.71 (m_memory_v_cmd(c_m, s5, c_idle)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[7144, 13602])).
% 50.06/32.71 tff(13604,assumption,(~node3(s5)), introduced(assumption)).
% 50.06/32.71 tff(13605,plain,
% 50.06/32.71 ((~![X: $i] : node3(X)) | node3(s5)),
% 50.06/32.71 inference(quant_inst,[status(thm)],[])).
% 50.06/32.71 tff(13606,plain,
% 50.06/32.71 ($false),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13605, 1247, 13604])).
% 50.06/32.71 tff(13607,plain,(node3(s5)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.71 tff(13608,plain,
% 50.06/32.71 (~node32(c_p1, s6, s7)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13447, 13439, 13102])).
% 50.06/32.71 tff(13609,plain,
% 50.06/32.71 (~m_processor_v_abort(c_p1, s6)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13472, 13608])).
% 50.06/32.71 tff(13610,plain,
% 50.06/32.71 (node37(c_p1, s6, s7)),
% 50.06/32.71 inference(unit_resolution,[status(thm)],[13425, 13609, 13405, 1])).
% 50.06/32.71 tff(13611,plain,
% 50.06/32.71 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s6, c_invalid)) | m_processor_v_state(c_p1, s7, c_invalid) | (~node37(c_p1, s6, s7)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p1, s6, c_invalid)) | m_processor_v_state(c_p1, s7, c_invalid) | (~node37(c_p1, s6, s7)))),
% 50.06/32.72 inference(rewrite,[status(thm)],[])).
% 50.06/32.72 tff(13612,plain,
% 50.06/32.72 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s6, c_invalid)) | m_processor_v_state(c_p1, s7, c_invalid) | (~node37(c_p1, s6, s7)))),
% 50.06/32.72 inference(quant_inst,[status(thm)],[])).
% 50.06/32.72 tff(13613,plain,
% 50.06/32.72 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p1, s6, c_invalid)) | m_processor_v_state(c_p1, s7, c_invalid) | (~node37(c_p1, s6, s7))),
% 50.06/32.72 inference(modus_ponens,[status(thm)],[13612, 13611])).
% 50.06/32.72 tff(13614,plain,
% 50.06/32.72 ($false),
% 50.06/32.72 inference(unit_resolution,[status(thm)],[13613, 2411, 13439, 13102, 13610])).
% 50.06/32.72 tff(13615,plain,((~m_processor_v_state(c_p1, s6, c_invalid)) | m_processor_v_state(c_p1, s7, c_invalid) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s6, c_shared)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.72 tff(13616,plain,
% 50.06/32.72 (~m_processor_v_state(c_p1, s6, c_invalid)),
% 50.06/32.72 inference(unit_resolution,[status(thm)],[13615, 13581, 13102, 13405])).
% 50.06/32.72 tff(13617,plain,
% 50.06/32.72 (m_processor_v_CMD(c_p1, s5, c_read_h_owned)),
% 50.06/32.72 inference(unit_resolution,[status(thm)],[629, 13616, 53, 13581])).
% 50.06/32.72 tff(13618,plain,
% 50.06/32.72 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | ((~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned) | (~node3(s5)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned) | (~node3(s5)))),
% 50.06/32.72 inference(rewrite,[status(thm)],[])).
% 50.06/32.72 tff(13619,plain,
% 50.06/32.72 ((m_main_v_CMD(s5, c_read_h_owned) | (~node3(s5)) | (~m_processor_v_CMD(c_p1, s5, c_read_h_owned))) <=> ((~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned) | (~node3(s5)))),
% 50.06/32.72 inference(rewrite,[status(thm)],[])).
% 50.06/32.72 tff(13620,plain,
% 50.06/32.72 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s5, c_read_h_owned) | (~node3(s5)) | (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | ((~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned) | (~node3(s5))))),
% 50.06/32.72 inference(monotonicity,[status(thm)],[13619])).
% 50.06/32.72 tff(13621,plain,
% 50.06/32.72 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s5, c_read_h_owned) | (~node3(s5)) | (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned) | (~node3(s5)))),
% 50.06/32.72 inference(transitivity,[status(thm)],[13620, 13618])).
% 50.06/32.72 tff(13622,plain,
% 50.06/32.72 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s5, c_read_h_owned) | (~node3(s5)) | (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)))),
% 50.06/32.72 inference(quant_inst,[status(thm)],[])).
% 50.06/32.72 tff(13623,plain,
% 50.06/32.72 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned) | (~node3(s5))),
% 50.06/32.72 inference(modus_ponens,[status(thm)],[13622, 13621])).
% 50.06/32.72 tff(13624,plain,
% 50.06/32.72 (m_main_v_CMD(s5, c_read_h_owned)),
% 50.06/32.72 inference(unit_resolution,[status(thm)],[13623, 1260, 13617, 13607])).
% 50.06/32.72 tff(13625,plain,
% 50.06/32.72 (~m_processor_v_master(c_p0, s5)),
% 50.06/32.72 inference(unit_resolution,[status(thm)],[797, 794, 13588])).
% 50.06/32.72 tff(13626,assumption,(~m_processor_v_cmd(c_p0, s5, c_idle)), introduced(assumption)).
% 50.06/32.72 tff(13627,plain,
% 50.06/32.72 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p0, s5) | (~node63(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p0, s5) | (~node63(c_p0, s5)))),
% 50.06/32.72 inference(rewrite,[status(thm)],[])).
% 50.06/32.72 tff(13628,plain,
% 50.06/32.72 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p0, s5) | (~node63(c_p0, s5)))),
% 50.06/32.72 inference(quant_inst,[status(thm)],[])).
% 50.06/32.72 tff(13629,plain,
% 50.06/32.72 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p0, s5) | (~node63(c_p0, s5))),
% 50.06/32.72 inference(modus_ponens,[status(thm)],[13628, 13627])).
% 50.06/32.72 tff(13630,plain,
% 50.06/32.72 (~node63(c_p0, s5)),
% 50.06/32.72 inference(unit_resolution,[status(thm)],[13629, 1469, 800])).
% 50.06/32.72 tff(13631,plain,
% 50.06/32.72 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p0, s5) | (~node62(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p0, s5) | (~node62(c_p0, s5)))),
% 50.06/32.72 inference(rewrite,[status(thm)],[])).
% 50.06/32.72 tff(13632,plain,
% 50.06/32.72 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p0, s5) | (~node62(c_p0, s5)))),
% 50.06/32.72 inference(quant_inst,[status(thm)],[])).
% 50.06/32.72 tff(13633,plain,
% 50.06/32.72 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p0, s5) | (~node62(c_p0, s5))),
% 50.06/32.72 inference(modus_ponens,[status(thm)],[13632, 13631])).
% 50.06/32.72 tff(13634,plain,
% 50.06/32.72 (~node62(c_p0, s5)),
% 50.06/32.72 inference(unit_resolution,[status(thm)],[13633, 1493, 800])).
% 50.06/32.72 tff(13635,plain,
% 50.06/32.72 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p0, s5) | (~node66(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p0, s5) | (~node66(c_p0, s5)))),
% 50.06/32.72 inference(rewrite,[status(thm)],[])).
% 50.06/32.72 tff(13636,plain,
% 50.06/32.72 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p0, s5) | (~node66(c_p0, s5)))),
% 50.06/32.72 inference(quant_inst,[status(thm)],[])).
% 50.06/32.72 tff(13637,plain,
% 50.06/32.72 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p0, s5) | (~node66(c_p0, s5))),
% 50.06/32.72 inference(modus_ponens,[status(thm)],[13636, 13635])).
% 50.06/32.72 tff(13638,plain,
% 50.06/32.72 (~node66(c_p0, s5)),
% 50.06/32.72 inference(unit_resolution,[status(thm)],[13637, 1446, 800])).
% 50.06/32.72 tff(13639,plain,
% 50.06/32.72 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p0, s5) | (~node65(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p0, s5) | (~node65(c_p0, s5)))),
% 50.06/32.72 inference(rewrite,[status(thm)],[])).
% 50.06/32.72 tff(13640,plain,
% 50.06/32.72 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p0, s5) | (~node65(c_p0, s5)))),
% 50.06/32.72 inference(quant_inst,[status(thm)],[])).
% 50.06/32.72 tff(13641,plain,
% 50.06/32.72 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p0, s5) | (~node65(c_p0, s5))),
% 50.06/32.72 inference(modus_ponens,[status(thm)],[13640, 13639])).
% 50.06/32.72 tff(13642,plain,
% 50.06/32.72 (~node65(c_p0, s5)),
% 50.06/32.72 inference(unit_resolution,[status(thm)],[13641, 1457, 800])).
% 50.06/32.72 tff(13643,plain,
% 50.06/32.72 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p0, s5) | (~node64(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p0, s5) | (~node64(c_p0, s5)))),
% 50.06/32.72 inference(rewrite,[status(thm)],[])).
% 50.06/32.72 tff(13644,plain,
% 50.06/32.72 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p0, s5) | (~node64(c_p0, s5)))),
% 50.06/32.72 inference(quant_inst,[status(thm)],[])).
% 50.06/32.72 tff(13645,plain,
% 50.06/32.72 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p0, s5) | (~node64(c_p0, s5))),
% 50.06/32.72 inference(modus_ponens,[status(thm)],[13644, 13643])).
% 50.06/32.72 tff(13646,plain,
% 50.06/32.72 (~node64(c_p0, s5)),
% 50.06/32.72 inference(unit_resolution,[status(thm)],[13645, 1482, 800])).
% 50.06/32.72 tff(13647,plain,
% 50.06/32.72 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node63(c_p0, s5) | node64(c_p0, s5) | node65(c_p0, s5) | node62(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_idle) | node66(c_p0, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node63(c_p0, s5) | node64(c_p0, s5) | node65(c_p0, s5) | node62(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_idle) | node66(c_p0, s5))),
% 50.06/32.72 inference(rewrite,[status(thm)],[])).
% 50.06/32.72 tff(13648,plain,
% 50.06/32.72 ((m_processor_v_cmd(c_p0, s5, c_idle) | node62(c_p0, s5) | node63(c_p0, s5) | node64(c_p0, s5) | node65(c_p0, s5) | node66(c_p0, s5)) <=> (node63(c_p0, s5) | node64(c_p0, s5) | node65(c_p0, s5) | node62(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_idle) | node66(c_p0, s5))),
% 50.06/32.72 inference(rewrite,[status(thm)],[])).
% 50.06/32.72 tff(13649,plain,
% 50.06/32.72 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s5, c_idle) | node62(c_p0, s5) | node63(c_p0, s5) | node64(c_p0, s5) | node65(c_p0, s5) | node66(c_p0, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node63(c_p0, s5) | node64(c_p0, s5) | node65(c_p0, s5) | node62(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_idle) | node66(c_p0, s5)))),
% 50.06/32.72 inference(monotonicity,[status(thm)],[13648])).
% 50.06/32.72 tff(13650,plain,
% 50.06/32.72 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s5, c_idle) | node62(c_p0, s5) | node63(c_p0, s5) | node64(c_p0, s5) | node65(c_p0, s5) | node66(c_p0, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node63(c_p0, s5) | node64(c_p0, s5) | node65(c_p0, s5) | node62(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_idle) | node66(c_p0, s5))),
% 50.06/32.72 inference(transitivity,[status(thm)],[13649, 13647])).
% 50.06/32.72 tff(13651,plain,
% 50.06/32.72 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s5, c_idle) | node62(c_p0, s5) | node63(c_p0, s5) | node64(c_p0, s5) | node65(c_p0, s5) | node66(c_p0, s5))),
% 50.06/32.72 inference(quant_inst,[status(thm)],[])).
% 50.06/32.72 tff(13652,plain,
% 50.06/32.72 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node63(c_p0, s5) | node64(c_p0, s5) | node65(c_p0, s5) | node62(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_idle) | node66(c_p0, s5)),
% 50.06/32.72 inference(modus_ponens,[status(thm)],[13651, 13650])).
% 50.06/32.72 tff(13653,plain,
% 50.06/32.72 (node64(c_p0, s5) | node65(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_idle) | node66(c_p0, s5)),
% 50.06/32.72 inference(unit_resolution,[status(thm)],[13652, 1508, 7222, 7203])).
% 50.06/32.72 tff(13654,plain,
% 50.06/32.72 ($false),
% 50.06/32.72 inference(unit_resolution,[status(thm)],[13653, 13646, 13642, 13626, 13638])).
% 50.06/32.72 tff(13655,plain,(m_processor_v_master(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_idle) | node63(c_p0, s5) | node62(c_p0, s5)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.72 tff(13656,plain,
% 50.06/32.72 ($false),
% 50.06/32.72 inference(unit_resolution,[status(thm)],[13655, 13634, 13630, 13626, 800])).
% 50.06/32.72 tff(13657,plain,(m_processor_v_master(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_idle)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.72 tff(13658,plain,
% 50.06/32.72 (m_processor_v_cmd(c_p0, s5, c_idle)),
% 50.06/32.72 inference(unit_resolution,[status(thm)],[13657, 13625])).
% 50.06/32.72 tff(13659,assumption,(m_main_v_CMD(s5, c_read_h_owned)), introduced(assumption)).
% 50.06/32.72 tff(13660,assumption,(m_processor_v_cmd(c_p0, s5, c_idle)), introduced(assumption)).
% 50.06/32.72 tff(13661,plain,
% 50.06/32.72 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_read_h_owned)))),
% 50.06/32.72 inference(rewrite,[status(thm)],[])).
% 50.06/32.72 tff(13662,plain,
% 50.06/32.72 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_read_h_owned)))),
% 50.06/32.72 inference(quant_inst,[status(thm)],[])).
% 50.06/32.72 tff(13663,plain,
% 50.06/32.72 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_read_h_owned))),
% 50.06/32.72 inference(modus_ponens,[status(thm)],[13662, 13661])).
% 50.06/32.72 tff(13664,plain,
% 50.06/32.72 (~m_processor_v_cmd(c_p0, s5, c_read_h_owned)),
% 50.06/32.72 inference(unit_resolution,[status(thm)],[13663, 3189, 13660])).
% 50.06/32.72 tff(13665,plain,
% 50.06/32.72 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s5, c_read_h_owned)) | (~node12(s5)) | m_processor_v_cmd(c_p0, s5, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~m_main_v_CMD(s5, c_read_h_owned)) | (~node12(s5)) | m_processor_v_cmd(c_p0, s5, c_read_h_owned))),
% 50.06/32.72 inference(rewrite,[status(thm)],[])).
% 50.06/32.72 tff(13666,plain,
% 50.06/32.72 (((~m_main_v_CMD(s5, c_read_h_owned)) | m_processor_v_cmd(c_p0, s5, c_read_h_owned) | (~node12(s5))) <=> ((~m_main_v_CMD(s5, c_read_h_owned)) | (~node12(s5)) | m_processor_v_cmd(c_p0, s5, c_read_h_owned))),
% 50.06/32.72 inference(rewrite,[status(thm)],[])).
% 50.06/32.72 tff(13667,plain,
% 50.06/32.72 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s5, c_read_h_owned)) | m_processor_v_cmd(c_p0, s5, c_read_h_owned) | (~node12(s5)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s5, c_read_h_owned)) | (~node12(s5)) | m_processor_v_cmd(c_p0, s5, c_read_h_owned)))),
% 50.06/32.72 inference(monotonicity,[status(thm)],[13666])).
% 50.06/32.72 tff(13668,plain,
% 50.06/32.72 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s5, c_read_h_owned)) | m_processor_v_cmd(c_p0, s5, c_read_h_owned) | (~node12(s5)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~m_main_v_CMD(s5, c_read_h_owned)) | (~node12(s5)) | m_processor_v_cmd(c_p0, s5, c_read_h_owned))),
% 50.06/32.72 inference(transitivity,[status(thm)],[13667, 13665])).
% 50.06/32.72 tff(13669,plain,
% 50.06/32.72 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s5, c_read_h_owned)) | m_processor_v_cmd(c_p0, s5, c_read_h_owned) | (~node12(s5)))),
% 50.06/32.72 inference(quant_inst,[status(thm)],[])).
% 50.06/32.72 tff(13670,plain,
% 50.06/32.72 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~m_main_v_CMD(s5, c_read_h_owned)) | (~node12(s5)) | m_processor_v_cmd(c_p0, s5, c_read_h_owned)),
% 50.06/32.72 inference(modus_ponens,[status(thm)],[13669, 13668])).
% 50.06/32.72 tff(13671,plain,
% 50.06/32.72 ((~m_main_v_CMD(s5, c_read_h_owned)) | (~node12(s5))),
% 50.06/32.72 inference(unit_resolution,[status(thm)],[13670, 3644, 13664])).
% 50.06/32.72 tff(13672,plain,
% 50.06/32.72 (~node12(s5)),
% 50.06/32.72 inference(unit_resolution,[status(thm)],[13671, 13659])).
% 50.06/32.72 tff(13673,assumption,(~node8(s5)), introduced(assumption)).
% 50.06/32.72 tff(13674,plain,
% 50.06/32.72 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s5, c_read_h_owned)) | (~m_main_v_CMD(s5, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s5, c_read_h_owned)) | (~m_main_v_CMD(s5, c_response)))),
% 50.06/32.72 inference(rewrite,[status(thm)],[])).
% 50.06/32.72 tff(13675,plain,
% 50.06/32.72 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s5, c_read_h_owned)) | (~m_main_v_CMD(s5, c_response)))),
% 50.06/32.72 inference(quant_inst,[status(thm)],[])).
% 50.06/32.72 tff(13676,plain,
% 50.06/32.72 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s5, c_read_h_owned)) | (~m_main_v_CMD(s5, c_response))),
% 50.06/32.72 inference(modus_ponens,[status(thm)],[13675, 13674])).
% 50.06/32.72 tff(13677,plain,
% 50.06/32.72 (~m_main_v_CMD(s5, c_response)),
% 50.06/32.72 inference(unit_resolution,[status(thm)],[13676, 12316, 13659])).
% 50.06/32.72 tff(13678,assumption,(m_processor_v_cmd(c_p2, s5, c_idle)), introduced(assumption)).
% 50.06/32.72 tff(13679,plain,
% 50.06/32.72 (~m_memory_v_cmd(c_m, s5, c_idle)),
% 50.06/32.72 inference(unit_resolution,[status(thm)],[7153, 13678, 13673])).
% 50.06/32.72 tff(13680,plain,
% 50.06/32.72 (((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | ((~node9(s5)) | m_memory_v_cmd(c_m, s5, c_idle))) <=> ((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | (~node9(s5)) | m_memory_v_cmd(c_m, s5, c_idle))),
% 50.06/32.72 inference(rewrite,[status(thm)],[])).
% 50.06/32.72 tff(13681,plain,
% 50.06/32.72 ((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | ((~node9(s5)) | m_memory_v_cmd(c_m, s5, c_idle))),
% 50.06/32.72 inference(quant_inst,[status(thm)],[])).
% 50.06/32.72 tff(13682,plain,
% 50.06/32.72 ((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | (~node9(s5)) | m_memory_v_cmd(c_m, s5, c_idle)),
% 50.06/32.72 inference(modus_ponens,[status(thm)],[13681, 13680])).
% 50.06/32.72 tff(13683,plain,
% 50.06/32.72 (~node9(s5)),
% 50.06/32.72 inference(unit_resolution,[status(thm)],[13682, 2000, 13679])).
% 50.06/32.72 tff(13684,plain,
% 50.06/32.72 (((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | (m_memory_v_cmd(c_m, s5, c_idle) | (~node13(s5)))) <=> ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | m_memory_v_cmd(c_m, s5, c_idle) | (~node13(s5)))),
% 50.06/32.72 inference(rewrite,[status(thm)],[])).
% 50.06/32.72 tff(13685,plain,
% 50.06/32.72 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | (m_memory_v_cmd(c_m, s5, c_idle) | (~node13(s5)))),
% 50.06/32.72 inference(quant_inst,[status(thm)],[])).
% 50.06/32.72 tff(13686,plain,
% 50.06/32.72 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | m_memory_v_cmd(c_m, s5, c_idle) | (~node13(s5))),
% 50.06/32.72 inference(modus_ponens,[status(thm)],[13685, 13684])).
% 50.06/32.72 tff(13687,plain,
% 50.06/32.72 (~node13(s5)),
% 50.06/32.72 inference(unit_resolution,[status(thm)],[13686, 1986, 13679])).
% 50.06/32.72 tff(13688,plain,
% 50.06/32.72 (((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | (m_memory_v_cmd(c_m, s5, c_idle) | (~node11(s5)))) <=> ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | m_memory_v_cmd(c_m, s5, c_idle) | (~node11(s5)))),
% 50.06/32.72 inference(rewrite,[status(thm)],[])).
% 50.06/32.72 tff(13689,plain,
% 50.06/32.72 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | (m_memory_v_cmd(c_m, s5, c_idle) | (~node11(s5)))),
% 50.06/32.72 inference(quant_inst,[status(thm)],[])).
% 50.06/32.72 tff(13690,plain,
% 50.06/32.72 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | m_memory_v_cmd(c_m, s5, c_idle) | (~node11(s5))),
% 50.06/32.72 inference(modus_ponens,[status(thm)],[13689, 13688])).
% 50.06/32.72 tff(13691,plain,
% 50.06/32.72 (~node11(s5)),
% 50.06/32.72 inference(unit_resolution,[status(thm)],[13690, 2031, 13679])).
% 50.06/32.72 tff(13692,plain,
% 50.06/32.72 (((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s5) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p2, s5, c_idle)) | node13(s5) | node11(s5) | node14(s5) | (~m_processor_v_cmd(c_p1, s5, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s5) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p2, s5, c_idle)) | node13(s5) | node11(s5) | node14(s5) | (~m_processor_v_cmd(c_p1, s5, c_idle)))),
% 50.06/32.72 inference(rewrite,[status(thm)],[])).
% 50.06/32.72 tff(13693,plain,
% 50.06/32.72 ((node9(s5) | node11(s5) | node13(s5) | node14(s5) | (~m_processor_v_cmd(c_p2, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_idle))) <=> (node9(s5) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p2, s5, c_idle)) | node13(s5) | node11(s5) | node14(s5) | (~m_processor_v_cmd(c_p1, s5, c_idle)))),
% 50.06/32.72 inference(rewrite,[status(thm)],[])).
% 50.06/32.72 tff(13694,plain,
% 50.06/32.72 (((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s5) | node11(s5) | node13(s5) | node14(s5) | (~m_processor_v_cmd(c_p2, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s5) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p2, s5, c_idle)) | node13(s5) | node11(s5) | node14(s5) | (~m_processor_v_cmd(c_p1, s5, c_idle))))),
% 50.06/32.72 inference(monotonicity,[status(thm)],[13693])).
% 50.06/32.72 tff(13695,plain,
% 50.06/32.72 (((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s5) | node11(s5) | node13(s5) | node14(s5) | (~m_processor_v_cmd(c_p2, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s5) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p2, s5, c_idle)) | node13(s5) | node11(s5) | node14(s5) | (~m_processor_v_cmd(c_p1, s5, c_idle)))),
% 50.06/32.72 inference(transitivity,[status(thm)],[13694, 13692])).
% 50.06/32.72 tff(13696,plain,
% 50.06/32.72 ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s5) | node11(s5) | node13(s5) | node14(s5) | (~m_processor_v_cmd(c_p2, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_idle)))),
% 50.06/32.72 inference(quant_inst,[status(thm)],[])).
% 50.06/32.72 tff(13697,plain,
% 50.06/32.72 ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s5) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p2, s5, c_idle)) | node13(s5) | node11(s5) | node14(s5) | (~m_processor_v_cmd(c_p1, s5, c_idle))),
% 50.06/32.72 inference(modus_ponens,[status(thm)],[13696, 13695])).
% 50.06/32.72 tff(13698,plain,
% 50.06/32.72 (node9(s5) | (~m_processor_v_cmd(c_p2, s5, c_idle)) | node13(s5) | node11(s5) | node14(s5) | (~m_processor_v_cmd(c_p1, s5, c_idle))),
% 50.06/32.72 inference(unit_resolution,[status(thm)],[13697, 2014, 13660])).
% 50.06/32.72 tff(13699,plain,
% 50.06/32.72 (node14(s5)),
% 50.06/32.72 inference(unit_resolution,[status(thm)],[13698, 13691, 13678, 7146, 13687, 13683])).
% 50.06/32.72 tff(13700,assumption,(~m_main_v_CMD(s5, c_response)), introduced(assumption)).
% 50.06/32.72 tff(13701,plain,
% 50.06/32.72 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s5, c_response) | (~m_memory_v_cmd(c_m, s5, c_response)) | (~node14(s5)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | m_main_v_CMD(s5, c_response) | (~m_memory_v_cmd(c_m, s5, c_response)) | (~node14(s5)))),
% 50.06/32.72 inference(rewrite,[status(thm)],[])).
% 50.06/32.72 tff(13702,plain,
% 50.06/32.72 ((m_main_v_CMD(s5, c_response) | (~node14(s5)) | (~m_memory_v_cmd(c_m, s5, c_response))) <=> (m_main_v_CMD(s5, c_response) | (~m_memory_v_cmd(c_m, s5, c_response)) | (~node14(s5)))),
% 50.06/32.72 inference(rewrite,[status(thm)],[])).
% 50.06/32.72 tff(13703,plain,
% 50.06/32.72 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s5, c_response) | (~node14(s5)) | (~m_memory_v_cmd(c_m, s5, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s5, c_response) | (~m_memory_v_cmd(c_m, s5, c_response)) | (~node14(s5))))),
% 50.06/32.72 inference(monotonicity,[status(thm)],[13702])).
% 50.06/32.72 tff(13704,plain,
% 50.06/32.72 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s5, c_response) | (~node14(s5)) | (~m_memory_v_cmd(c_m, s5, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | m_main_v_CMD(s5, c_response) | (~m_memory_v_cmd(c_m, s5, c_response)) | (~node14(s5)))),
% 50.06/32.73 inference(transitivity,[status(thm)],[13703, 13701])).
% 50.06/32.73 tff(13705,plain,
% 50.06/32.73 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s5, c_response) | (~node14(s5)) | (~m_memory_v_cmd(c_m, s5, c_response)))),
% 50.06/32.73 inference(quant_inst,[status(thm)],[])).
% 50.06/32.73 tff(13706,plain,
% 50.06/32.73 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | m_main_v_CMD(s5, c_response) | (~m_memory_v_cmd(c_m, s5, c_response)) | (~node14(s5))),
% 50.06/32.73 inference(modus_ponens,[status(thm)],[13705, 13704])).
% 50.06/32.73 tff(13707,plain,
% 50.06/32.73 ((~m_memory_v_cmd(c_m, s5, c_response)) | (~node14(s5))),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13706, 8342, 13700])).
% 50.06/32.73 tff(13708,plain,
% 50.06/32.73 (~m_memory_v_cmd(c_m, s5, c_response)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13707, 13699])).
% 50.06/32.73 tff(13709,plain,
% 50.06/32.73 (node29(c_m, s5)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[7144, 13679])).
% 50.06/32.73 tff(13710,plain,
% 50.06/32.73 (m_memory_v_master(c_m, s5)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[7136, 13709])).
% 50.06/32.73 tff(13711,plain,
% 50.06/32.73 (((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s5, c_idle) | (~m_memory_v_master(c_m, s5)) | m_memory_v_cmd(c_m, s5, c_response) | (~m_memory_v_busy(c_m, s5)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | m_memory_v_cmd(c_m, s5, c_idle) | (~m_memory_v_master(c_m, s5)) | m_memory_v_cmd(c_m, s5, c_response) | (~m_memory_v_busy(c_m, s5)))),
% 50.06/32.73 inference(rewrite,[status(thm)],[])).
% 50.06/32.73 tff(13712,plain,
% 50.06/32.73 ((m_memory_v_cmd(c_m, s5, c_response) | m_memory_v_cmd(c_m, s5, c_idle) | (~m_memory_v_busy(c_m, s5)) | (~m_memory_v_master(c_m, s5))) <=> (m_memory_v_cmd(c_m, s5, c_idle) | (~m_memory_v_master(c_m, s5)) | m_memory_v_cmd(c_m, s5, c_response) | (~m_memory_v_busy(c_m, s5)))),
% 50.06/32.73 inference(rewrite,[status(thm)],[])).
% 50.06/32.73 tff(13713,plain,
% 50.06/32.73 (((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s5, c_response) | m_memory_v_cmd(c_m, s5, c_idle) | (~m_memory_v_busy(c_m, s5)) | (~m_memory_v_master(c_m, s5)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s5, c_idle) | (~m_memory_v_master(c_m, s5)) | m_memory_v_cmd(c_m, s5, c_response) | (~m_memory_v_busy(c_m, s5))))),
% 50.06/32.73 inference(monotonicity,[status(thm)],[13712])).
% 50.06/32.73 tff(13714,plain,
% 50.06/32.73 (((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s5, c_response) | m_memory_v_cmd(c_m, s5, c_idle) | (~m_memory_v_busy(c_m, s5)) | (~m_memory_v_master(c_m, s5)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | m_memory_v_cmd(c_m, s5, c_idle) | (~m_memory_v_master(c_m, s5)) | m_memory_v_cmd(c_m, s5, c_response) | (~m_memory_v_busy(c_m, s5)))),
% 50.06/32.73 inference(transitivity,[status(thm)],[13713, 13711])).
% 50.06/32.73 tff(13715,plain,
% 50.06/32.73 ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s5, c_response) | m_memory_v_cmd(c_m, s5, c_idle) | (~m_memory_v_busy(c_m, s5)) | (~m_memory_v_master(c_m, s5)))),
% 50.06/32.73 inference(quant_inst,[status(thm)],[])).
% 50.06/32.73 tff(13716,plain,
% 50.06/32.73 ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | m_memory_v_cmd(c_m, s5, c_idle) | (~m_memory_v_master(c_m, s5)) | m_memory_v_cmd(c_m, s5, c_response) | (~m_memory_v_busy(c_m, s5))),
% 50.06/32.73 inference(modus_ponens,[status(thm)],[13715, 13714])).
% 50.06/32.73 tff(13717,plain,
% 50.06/32.73 (m_memory_v_cmd(c_m, s5, c_response) | (~m_memory_v_busy(c_m, s5))),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13716, 2089, 13710, 13679])).
% 50.06/32.73 tff(13718,plain,
% 50.06/32.73 (~m_memory_v_busy(c_m, s5)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13717, 13708])).
% 50.06/32.73 tff(13719,plain,
% 50.06/32.73 (((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | ((~node29(c_m, s5)) | m_memory_v_busy(c_m, s5))) <=> ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (~node29(c_m, s5)) | m_memory_v_busy(c_m, s5))),
% 50.06/32.73 inference(rewrite,[status(thm)],[])).
% 50.06/32.73 tff(13720,plain,
% 50.06/32.73 ((m_memory_v_busy(c_m, s5) | (~node29(c_m, s5))) <=> ((~node29(c_m, s5)) | m_memory_v_busy(c_m, s5))),
% 50.06/32.73 inference(rewrite,[status(thm)],[])).
% 50.06/32.73 tff(13721,plain,
% 50.06/32.73 (((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s5) | (~node29(c_m, s5)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | ((~node29(c_m, s5)) | m_memory_v_busy(c_m, s5)))),
% 50.06/32.73 inference(monotonicity,[status(thm)],[13720])).
% 50.06/32.73 tff(13722,plain,
% 50.06/32.73 (((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s5) | (~node29(c_m, s5)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (~node29(c_m, s5)) | m_memory_v_busy(c_m, s5))),
% 50.06/32.73 inference(transitivity,[status(thm)],[13721, 13719])).
% 50.06/32.73 tff(13723,plain,
% 50.06/32.73 ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s5) | (~node29(c_m, s5)))),
% 50.06/32.73 inference(quant_inst,[status(thm)],[])).
% 50.06/32.73 tff(13724,plain,
% 50.06/32.73 ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (~node29(c_m, s5)) | m_memory_v_busy(c_m, s5)),
% 50.06/32.73 inference(modus_ponens,[status(thm)],[13723, 13722])).
% 50.06/32.73 tff(13725,plain,
% 50.06/32.73 ($false),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13724, 2072, 13709, 13718])).
% 50.06/32.73 tff(13726,plain,((~m_processor_v_cmd(c_p2, s5, c_idle)) | m_main_v_CMD(s5, c_response) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | node8(s5)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.73 tff(13727,plain,
% 50.06/32.73 (~m_processor_v_cmd(c_p2, s5, c_idle)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13726, 13677, 13673, 7146, 13660])).
% 50.06/32.73 tff(13728,assumption,(~node12(s5)), introduced(assumption)).
% 50.06/32.73 tff(13729,assumption,(m_memory_v_cmd(c_m, s5, c_idle)), introduced(assumption)).
% 50.06/32.73 tff(13730,plain,
% 50.06/32.73 (((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | ((~node9(s5)) | m_processor_v_cmd(c_p2, s5, c_idle))) <=> ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | (~node9(s5)) | m_processor_v_cmd(c_p2, s5, c_idle))),
% 50.06/32.73 inference(rewrite,[status(thm)],[])).
% 50.06/32.73 tff(13731,plain,
% 50.06/32.73 ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | ((~node9(s5)) | m_processor_v_cmd(c_p2, s5, c_idle))),
% 50.06/32.73 inference(quant_inst,[status(thm)],[])).
% 50.06/32.73 tff(13732,plain,
% 50.06/32.73 ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | (~node9(s5)) | m_processor_v_cmd(c_p2, s5, c_idle)),
% 50.06/32.73 inference(modus_ponens,[status(thm)],[13731, 13730])).
% 50.06/32.73 tff(13733,plain,
% 50.06/32.73 (~node9(s5)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13732, 2146, 7094])).
% 50.06/32.73 tff(13734,plain,
% 50.06/32.73 (((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (m_processor_v_cmd(c_p2, s5, c_idle) | (~node11(s5)))) <=> ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | m_processor_v_cmd(c_p2, s5, c_idle) | (~node11(s5)))),
% 50.06/32.73 inference(rewrite,[status(thm)],[])).
% 50.06/32.73 tff(13735,plain,
% 50.06/32.73 ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (m_processor_v_cmd(c_p2, s5, c_idle) | (~node11(s5)))),
% 50.06/32.73 inference(quant_inst,[status(thm)],[])).
% 50.06/32.73 tff(13736,plain,
% 50.06/32.73 ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | m_processor_v_cmd(c_p2, s5, c_idle) | (~node11(s5))),
% 50.06/32.73 inference(modus_ponens,[status(thm)],[13735, 13734])).
% 50.06/32.73 tff(13737,plain,
% 50.06/32.73 (~node11(s5)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13736, 2157, 7094])).
% 50.06/32.73 tff(13738,plain,
% 50.06/32.73 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s5) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | node11(s5) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | node12(s5) | (~m_memory_v_cmd(c_m, s5, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s5) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | node11(s5) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | node12(s5) | (~m_memory_v_cmd(c_m, s5, c_idle)))),
% 50.06/32.73 inference(rewrite,[status(thm)],[])).
% 50.06/32.73 tff(13739,plain,
% 50.06/32.73 ((node9(s5) | node11(s5) | node12(s5) | (~m_memory_v_cmd(c_m, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_idle))) <=> (node9(s5) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | node11(s5) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | node12(s5) | (~m_memory_v_cmd(c_m, s5, c_idle)))),
% 50.06/32.73 inference(rewrite,[status(thm)],[])).
% 50.06/32.73 tff(13740,plain,
% 50.06/32.73 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s5) | node11(s5) | node12(s5) | (~m_memory_v_cmd(c_m, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s5) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | node11(s5) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | node12(s5) | (~m_memory_v_cmd(c_m, s5, c_idle))))),
% 50.06/32.73 inference(monotonicity,[status(thm)],[13739])).
% 50.06/32.73 tff(13741,plain,
% 50.06/32.73 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s5) | node11(s5) | node12(s5) | (~m_memory_v_cmd(c_m, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s5) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | node11(s5) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | node12(s5) | (~m_memory_v_cmd(c_m, s5, c_idle)))),
% 50.06/32.73 inference(transitivity,[status(thm)],[13740, 13738])).
% 50.06/32.73 tff(13742,plain,
% 50.06/32.73 ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s5) | node11(s5) | node12(s5) | (~m_memory_v_cmd(c_m, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_idle)))),
% 50.06/32.73 inference(quant_inst,[status(thm)],[])).
% 50.06/32.73 tff(13743,plain,
% 50.06/32.73 ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s5) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | node11(s5) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | node12(s5) | (~m_memory_v_cmd(c_m, s5, c_idle))),
% 50.06/32.73 inference(modus_ponens,[status(thm)],[13742, 13741])).
% 50.06/32.73 tff(13744,plain,
% 50.06/32.73 (node9(s5) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | node11(s5) | node12(s5) | (~m_memory_v_cmd(c_m, s5, c_idle))),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13743, 2171, 7146])).
% 50.06/32.73 tff(13745,plain,
% 50.06/32.73 ($false),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13744, 13737, 13733, 13729, 13660, 13728])).
% 50.06/32.73 tff(13746,plain,(m_processor_v_cmd(c_p2, s5, c_idle) | (~m_memory_v_cmd(c_m, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | node12(s5) | (~m_processor_v_cmd(c_p1, s5, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.06/32.73 tff(13747,plain,
% 50.06/32.73 (~m_memory_v_cmd(c_m, s5, c_idle)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13746, 13727, 13660, 13672, 7146])).
% 50.06/32.73 tff(13748,plain,
% 50.06/32.73 (node29(c_m, s5)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[7144, 13747])).
% 50.06/32.73 tff(13749,plain,
% 50.06/32.73 (m_processor_v_master(c_p2, s5)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[7120, 13727])).
% 50.06/32.73 tff(13750,assumption,(m_processor_v_master(c_p2, s5)), introduced(assumption)).
% 50.06/32.73 tff(13751,plain,
% 50.06/32.73 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~node17(s5)) | (~m_processor_v_master(c_p2, s5)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s5)) | (~m_processor_v_master(c_p2, s5)))),
% 50.06/32.73 inference(rewrite,[status(thm)],[])).
% 50.06/32.73 tff(13752,plain,
% 50.06/32.73 (((~m_processor_v_master(c_p2, s5)) | (~node17(s5))) <=> ((~node17(s5)) | (~m_processor_v_master(c_p2, s5)))),
% 50.06/32.73 inference(rewrite,[status(thm)],[])).
% 50.06/32.73 tff(13753,plain,
% 50.06/32.73 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s5)) | (~node17(s5)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~node17(s5)) | (~m_processor_v_master(c_p2, s5))))),
% 50.06/32.73 inference(monotonicity,[status(thm)],[13752])).
% 50.06/32.73 tff(13754,plain,
% 50.06/32.73 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s5)) | (~node17(s5)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s5)) | (~m_processor_v_master(c_p2, s5)))),
% 50.06/32.73 inference(transitivity,[status(thm)],[13753, 13751])).
% 50.06/32.73 tff(13755,plain,
% 50.06/32.73 ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s5)) | (~node17(s5)))),
% 50.06/32.73 inference(quant_inst,[status(thm)],[])).
% 50.06/32.73 tff(13756,plain,
% 50.06/32.73 ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s5)) | (~m_processor_v_master(c_p2, s5))),
% 50.06/32.73 inference(modus_ponens,[status(thm)],[13755, 13754])).
% 50.06/32.73 tff(13757,plain,
% 50.06/32.73 ($false),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13756, 2106, 13750, 13589])).
% 50.06/32.73 tff(13758,plain,((~node17(s5)) | (~m_processor_v_master(c_p2, s5))), inference(lemma,lemma(discharge,[]))).
% 50.06/32.73 tff(13759,plain,
% 50.06/32.73 (~node17(s5)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13758, 13749])).
% 50.06/32.73 tff(13760,plain,
% 50.06/32.73 (~m_memory_v_master(c_m, s5)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13600, 13759])).
% 50.06/32.73 tff(13761,plain,
% 50.06/32.73 ($false),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[7136, 13760, 13748])).
% 50.06/32.73 tff(13762,plain,((~m_main_v_CMD(s5, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | node8(s5)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.73 tff(13763,plain,
% 50.06/32.73 (node8(s5)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13762, 13659, 7146, 13660])).
% 50.06/32.73 tff(13764,plain,
% 50.06/32.73 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s5, c_read_h_owned)) | (~node8(s5)) | m_processor_v_cmd(c_p0, s5, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~m_main_v_CMD(s5, c_read_h_owned)) | (~node8(s5)) | m_processor_v_cmd(c_p0, s5, c_read_h_owned))),
% 50.06/32.73 inference(rewrite,[status(thm)],[])).
% 50.06/32.73 tff(13765,plain,
% 50.06/32.73 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s5, c_read_h_owned)) | (~node8(s5)) | m_processor_v_cmd(c_p0, s5, c_read_h_owned))),
% 50.06/32.73 inference(quant_inst,[status(thm)],[])).
% 50.06/32.73 tff(13766,plain,
% 50.06/32.73 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~m_main_v_CMD(s5, c_read_h_owned)) | (~node8(s5)) | m_processor_v_cmd(c_p0, s5, c_read_h_owned)),
% 50.06/32.73 inference(modus_ponens,[status(thm)],[13765, 13764])).
% 50.06/32.73 tff(13767,plain,
% 50.06/32.73 ((~m_main_v_CMD(s5, c_read_h_owned)) | (~node8(s5))),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13766, 2191, 13664])).
% 50.06/32.73 tff(13768,plain,
% 50.06/32.73 ($false),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13767, 13763, 13659])).
% 50.06/32.73 tff(13769,plain,((~m_main_v_CMD(s5, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.06/32.73 tff(13770,plain,
% 50.06/32.73 (~m_processor_v_cmd(c_p1, s5, c_idle)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13769, 13658, 13624])).
% 50.06/32.73 tff(13771,plain,
% 50.06/32.73 (~node32(c_p1, s5, s6)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[566, 13581, 53, 13616])).
% 50.06/32.73 tff(13772,plain,
% 50.06/32.73 (~m_processor_v_abort(c_p1, s5)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[250, 13771])).
% 50.06/32.73 tff(13773,plain,
% 50.06/32.73 (node60(c_p1, s5)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[698, 13772])).
% 50.06/32.73 tff(13774,plain,
% 50.06/32.73 (~node59(c_p1, s5)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[710, 707, 13617])).
% 50.06/32.73 tff(13775,plain,
% 50.06/32.73 (~m_processor_v_REPLY_h_WAITING(c_p1, s5)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[732, 714, 712])).
% 50.06/32.73 tff(13776,plain,
% 50.06/32.73 (~m_main_v_REPLY_h_WAITING(s5)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[750, 13775])).
% 50.06/32.73 tff(13777,assumption,(m_processor_v_REPLY_h_WAITING(c_p0, s5)), introduced(assumption)).
% 50.06/32.73 tff(13778,plain,
% 50.06/32.73 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | (m_main_v_REPLY_h_WAITING(s5) | (~m_processor_v_REPLY_h_WAITING(c_p0, s5)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | m_main_v_REPLY_h_WAITING(s5) | (~m_processor_v_REPLY_h_WAITING(c_p0, s5)))),
% 50.06/32.73 inference(rewrite,[status(thm)],[])).
% 50.06/32.73 tff(13779,plain,
% 50.06/32.73 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | (m_main_v_REPLY_h_WAITING(s5) | (~m_processor_v_REPLY_h_WAITING(c_p0, s5)))),
% 50.06/32.73 inference(quant_inst,[status(thm)],[])).
% 50.06/32.73 tff(13780,plain,
% 50.06/32.73 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | m_main_v_REPLY_h_WAITING(s5) | (~m_processor_v_REPLY_h_WAITING(c_p0, s5))),
% 50.06/32.73 inference(modus_ponens,[status(thm)],[13779, 13778])).
% 50.06/32.73 tff(13781,plain,
% 50.06/32.73 ($false),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13780, 1909, 752, 13777])).
% 50.06/32.73 tff(13782,plain,((~m_processor_v_REPLY_h_WAITING(c_p0, s5)) | m_main_v_REPLY_h_WAITING(s5)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.73 tff(13783,plain,
% 50.06/32.73 (~m_processor_v_REPLY_h_WAITING(c_p0, s5)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13782, 13776])).
% 50.06/32.73 tff(13784,assumption,(m_processor_v_abort(c_p0, s5)), introduced(assumption)).
% 50.06/32.73 tff(13785,assumption,(m_processor_v_REPLY_h_STALL(c_p1, s5)), introduced(assumption)).
% 50.06/32.73 tff(13786,plain,
% 50.06/32.73 (((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p1, s5)) | (~node60(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p1, s5)) | (~node60(c_p1, s5)))),
% 50.06/32.73 inference(rewrite,[status(thm)],[])).
% 50.06/32.73 tff(13787,plain,
% 50.06/32.73 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p1, s5)) | (~node60(c_p1, s5)))),
% 50.06/32.73 inference(quant_inst,[status(thm)],[])).
% 50.06/32.73 tff(13788,plain,
% 50.06/32.73 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p1, s5)) | (~node60(c_p1, s5))),
% 50.06/32.73 inference(modus_ponens,[status(thm)],[13787, 13786])).
% 50.06/32.73 tff(13789,plain,
% 50.06/32.73 ($false),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13788, 1363, 13785, 714])).
% 50.06/32.73 tff(13790,plain,((~m_processor_v_REPLY_h_STALL(c_p1, s5)) | (~node60(c_p1, s5))), inference(lemma,lemma(discharge,[]))).
% 50.06/32.73 tff(13791,plain,
% 50.06/32.73 (~m_processor_v_REPLY_h_STALL(c_p1, s5)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13790, 714])).
% 50.06/32.73 tff(13792,assumption,(~m_processor_v_REPLY_h_STALL(c_p1, s5)), introduced(assumption)).
% 50.06/32.73 tff(13793,plain,
% 50.06/32.73 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | ((~m_main_v_REPLY_h_STALL(s5)) | m_processor_v_REPLY_h_STALL(c_p1, s5))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | (~m_main_v_REPLY_h_STALL(s5)) | m_processor_v_REPLY_h_STALL(c_p1, s5))),
% 50.06/32.73 inference(rewrite,[status(thm)],[])).
% 50.06/32.73 tff(13794,plain,
% 50.06/32.73 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | ((~m_main_v_REPLY_h_STALL(s5)) | m_processor_v_REPLY_h_STALL(c_p1, s5))),
% 50.06/32.73 inference(quant_inst,[status(thm)],[])).
% 50.06/32.73 tff(13795,plain,
% 50.06/32.73 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | (~m_main_v_REPLY_h_STALL(s5)) | m_processor_v_REPLY_h_STALL(c_p1, s5)),
% 50.06/32.73 inference(modus_ponens,[status(thm)],[13794, 13793])).
% 50.06/32.73 tff(13796,plain,
% 50.06/32.73 ($false),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13795, 1713, 13792, 7292])).
% 50.06/32.73 tff(13797,plain,(m_processor_v_REPLY_h_STALL(c_p1, s5) | (~m_main_v_REPLY_h_STALL(s5))), inference(lemma,lemma(discharge,[]))).
% 50.06/32.73 tff(13798,plain,
% 50.06/32.73 (~m_main_v_REPLY_h_STALL(s5)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13797, 13791])).
% 50.06/32.73 tff(13799,plain,
% 50.06/32.73 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | (m_main_v_REPLY_h_STALL(s5) | (~m_processor_v_REPLY_h_STALL(c_p0, s5)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | m_main_v_REPLY_h_STALL(s5) | (~m_processor_v_REPLY_h_STALL(c_p0, s5)))),
% 50.06/32.73 inference(rewrite,[status(thm)],[])).
% 50.06/32.73 tff(13800,plain,
% 50.06/32.73 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | (m_main_v_REPLY_h_STALL(s5) | (~m_processor_v_REPLY_h_STALL(c_p0, s5)))),
% 50.06/32.73 inference(quant_inst,[status(thm)],[])).
% 50.06/32.73 tff(13801,plain,
% 50.06/32.73 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | m_main_v_REPLY_h_STALL(s5) | (~m_processor_v_REPLY_h_STALL(c_p0, s5))),
% 50.06/32.73 inference(modus_ponens,[status(thm)],[13800, 13799])).
% 50.06/32.73 tff(13802,plain,
% 50.06/32.73 ($false),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13801, 1729, 7284, 7300])).
% 50.06/32.73 tff(13803,plain,(m_main_v_REPLY_h_STALL(s5) | (~m_processor_v_REPLY_h_STALL(c_p0, s5))), inference(lemma,lemma(discharge,[]))).
% 50.06/32.73 tff(13804,plain,
% 50.06/32.73 (~m_processor_v_REPLY_h_STALL(c_p0, s5)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13803, 13798])).
% 50.06/32.73 tff(13805,assumption,(~node61(c_p0, s5)), introduced(assumption)).
% 50.06/32.73 tff(13806,plain,
% 50.06/32.73 (((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p0, s5)) | m_processor_v_REPLY_h_STALL(c_p0, s5) | node61(c_p0, s5))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p0, s5)) | m_processor_v_REPLY_h_STALL(c_p0, s5) | node61(c_p0, s5))),
% 50.06/32.73 inference(rewrite,[status(thm)],[])).
% 50.06/32.73 tff(13807,plain,
% 50.06/32.73 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p0, s5)) | m_processor_v_REPLY_h_STALL(c_p0, s5) | node61(c_p0, s5))),
% 50.06/32.73 inference(quant_inst,[status(thm)],[])).
% 50.06/32.73 tff(13808,plain,
% 50.06/32.73 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p0, s5)) | m_processor_v_REPLY_h_STALL(c_p0, s5) | node61(c_p0, s5)),
% 50.06/32.73 inference(modus_ponens,[status(thm)],[13807, 13806])).
% 50.06/32.73 tff(13809,plain,
% 50.06/32.73 ($false),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13808, 1417, 13784, 13805, 7291])).
% 50.06/32.73 tff(13810,plain,((~m_processor_v_abort(c_p0, s5)) | node61(c_p0, s5) | m_processor_v_REPLY_h_STALL(c_p0, s5)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.73 tff(13811,plain,
% 50.06/32.73 (node61(c_p0, s5)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13810, 13804, 13784])).
% 50.06/32.73 tff(13812,assumption,(~m_processor_v_REPLY_h_WAITING(c_p0, s5)), introduced(assumption)).
% 50.06/32.73 tff(13813,assumption,(node61(c_p0, s5)), introduced(assumption)).
% 50.06/32.73 tff(13814,plain,
% 50.06/32.73 (((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p0, s5) | (~node61(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p0, s5) | (~node61(c_p0, s5)))),
% 50.06/32.73 inference(rewrite,[status(thm)],[])).
% 50.06/32.73 tff(13815,plain,
% 50.06/32.73 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p0, s5) | (~node61(c_p0, s5)))),
% 50.06/32.73 inference(quant_inst,[status(thm)],[])).
% 50.06/32.73 tff(13816,plain,
% 50.06/32.73 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p0, s5) | (~node61(c_p0, s5))),
% 50.06/32.73 inference(modus_ponens,[status(thm)],[13815, 13814])).
% 50.06/32.73 tff(13817,plain,
% 50.06/32.73 ($false),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13816, 1891, 13813, 13812])).
% 50.06/32.73 tff(13818,plain,((~node61(c_p0, s5)) | m_processor_v_REPLY_h_WAITING(c_p0, s5)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.73 tff(13819,plain,
% 50.06/32.73 ($false),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13818, 13811, 13783])).
% 50.06/32.73 tff(13820,plain,((~node60(c_p1, s5)) | (~m_processor_v_abort(c_p0, s5)) | node59(c_p1, s5)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.73 tff(13821,plain,
% 50.06/32.73 (~m_processor_v_abort(c_p0, s5)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13820, 13774, 13773])).
% 50.06/32.73 tff(13822,plain,
% 50.06/32.73 (m_processor_v_master(c_p1, s5)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[7028, 7019])).
% 50.06/32.73 tff(13823,plain,
% 50.06/32.73 (~m_processor_v_master(c_p0, s5)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[797, 794, 13822])).
% 50.06/32.73 tff(13824,assumption,(~node35(c_p0, s5)), introduced(assumption)).
% 50.06/32.73 tff(13825,plain,
% 50.06/32.73 (~m_processor_v_state(c_p0, s5, c_shared)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[855, 812, 13824, 800, 835])).
% 50.06/32.73 tff(13826,plain,
% 50.06/32.73 (m_processor_v_state(c_p0, s6, c_shared)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[819, 5, 812])).
% 50.06/32.73 tff(13827,plain,
% 50.06/32.73 (~node37(c_p0, s5, s6)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[6986, 953, 13826])).
% 50.06/32.73 tff(13828,plain,
% 50.06/32.73 (m_processor_v_abort(c_p0, s5)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[1003, 6983, 800, 13827, 953])).
% 50.06/32.73 tff(13829,plain,
% 50.06/32.73 (node32(c_p0, s5, s6)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[951, 13828])).
% 50.06/32.73 tff(13830,plain,
% 50.06/32.73 (~m_processor_v_state(c_p0, s5, c_invalid)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[994, 13829, 812])).
% 50.06/32.73 tff(13831,plain,
% 50.06/32.73 (~m_processor_v_state(c_p0, s5, c_owned)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[6980, 13829, 5])).
% 50.06/32.73 tff(13832,plain,
% 50.06/32.73 ($false),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[955, 13831, 13830, 953])).
% 50.06/32.73 tff(13833,plain,(m_processor_v_state(c_p0, s5, c_shared) | m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_state(c_p0, s6, c_invalid) | m_processor_v_master(c_p0, s5)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.73 tff(13834,plain,
% 50.06/32.73 ($false),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13833, 13825, 812, 800, 5])).
% 50.06/32.73 tff(13835,plain,(m_processor_v_state(c_p0, s6, c_invalid) | m_processor_v_master(c_p0, s5) | m_processor_v_state(c_p0, s6, c_owned) | node35(c_p0, s5) | m_processor_v_abort(c_p0, s5)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.73 tff(13836,plain,
% 50.06/32.73 (node35(c_p0, s5)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13835, 13823, 812, 835, 5])).
% 50.06/32.73 tff(13837,plain,
% 50.06/32.73 (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[1045, 13836])).
% 50.06/32.73 tff(13838,assumption,(~node2(s5)), introduced(assumption)).
% 50.06/32.73 tff(13839,plain,
% 50.06/32.73 ((~![X: $i] : node2(X)) | node2(s5)),
% 50.06/32.73 inference(quant_inst,[status(thm)],[])).
% 50.06/32.73 tff(13840,plain,
% 50.06/32.73 ($false),
% 50.06/32.73 inference(unit_resolution,[status(thm)],[13839, 1215, 13838])).
% 50.06/32.73 tff(13841,plain,(node2(s5)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.73 tff(13842,plain,
% 50.06/32.73 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s5, c_read_h_owned) | (~m_main_v_CMD(s5, c_read_h_owned)) | (~node2(s5)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | (~m_main_v_CMD(s5, c_read_h_owned)) | (~node2(s5)))),
% 50.06/32.73 inference(rewrite,[status(thm)],[])).
% 50.06/32.73 tff(13843,plain,
% 50.06/32.73 (((~m_main_v_CMD(s5, c_read_h_owned)) | (~node2(s5)) | m_processor_v_CMD(c_p0, s5, c_read_h_owned)) <=> (m_processor_v_CMD(c_p0, s5, c_read_h_owned) | (~m_main_v_CMD(s5, c_read_h_owned)) | (~node2(s5)))),
% 50.06/32.73 inference(rewrite,[status(thm)],[])).
% 50.06/32.73 tff(13844,plain,
% 50.06/32.73 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s5, c_read_h_owned)) | (~node2(s5)) | m_processor_v_CMD(c_p0, s5, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s5, c_read_h_owned) | (~m_main_v_CMD(s5, c_read_h_owned)) | (~node2(s5))))),
% 50.06/32.74 inference(monotonicity,[status(thm)],[13843])).
% 50.06/32.74 tff(13845,plain,
% 50.06/32.74 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s5, c_read_h_owned)) | (~node2(s5)) | m_processor_v_CMD(c_p0, s5, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | (~m_main_v_CMD(s5, c_read_h_owned)) | (~node2(s5)))),
% 50.06/32.74 inference(transitivity,[status(thm)],[13844, 13842])).
% 50.06/32.74 tff(13846,plain,
% 50.06/32.74 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s5, c_read_h_owned)) | (~node2(s5)) | m_processor_v_CMD(c_p0, s5, c_read_h_owned))),
% 50.06/32.74 inference(quant_inst,[status(thm)],[])).
% 50.06/32.74 tff(13847,plain,
% 50.06/32.74 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | (~m_main_v_CMD(s5, c_read_h_owned)) | (~node2(s5))),
% 50.06/32.74 inference(modus_ponens,[status(thm)],[13846, 13845])).
% 50.06/32.74 tff(13848,plain,
% 50.06/32.74 ($false),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13847, 1228, 13659, 13841, 811])).
% 50.06/32.74 tff(13849,plain,((~m_main_v_CMD(s5, c_read_h_owned)) | m_processor_v_CMD(c_p0, s5, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.74 tff(13850,plain,
% 50.06/32.74 (~m_main_v_CMD(s5, c_read_h_owned)),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13849, 13837])).
% 50.06/32.74 tff(13851,plain,
% 50.06/32.74 (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13623, 1260, 13607, 13850])).
% 50.06/32.74 tff(13852,plain,
% 50.06/32.74 (m_processor_v_state(c_p1, s5, c_owned)),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[629, 13851, 1, 143])).
% 50.06/32.74 tff(13853,assumption,(m_processor_v_state(c_p1, s5, c_owned)), introduced(assumption)).
% 50.06/32.74 tff(13854,plain,
% 50.06/32.74 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s5, c_invalid)) | (~m_processor_v_state(c_p1, s5, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s5, c_invalid)) | (~m_processor_v_state(c_p1, s5, c_owned)))),
% 50.06/32.74 inference(rewrite,[status(thm)],[])).
% 50.06/32.74 tff(13855,plain,
% 50.06/32.74 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s5, c_invalid)) | (~m_processor_v_state(c_p1, s5, c_owned)))),
% 50.06/32.74 inference(quant_inst,[status(thm)],[])).
% 50.06/32.74 tff(13856,plain,
% 50.06/32.74 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s5, c_invalid)) | (~m_processor_v_state(c_p1, s5, c_owned))),
% 50.06/32.74 inference(modus_ponens,[status(thm)],[13855, 13854])).
% 50.06/32.74 tff(13857,plain,
% 50.06/32.74 ($false),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13856, 137, 548, 13853])).
% 50.06/32.74 tff(13858,plain,((~m_processor_v_state(c_p1, s5, c_invalid)) | (~m_processor_v_state(c_p1, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.06/32.74 tff(13859,plain,
% 50.06/32.74 (~m_processor_v_state(c_p1, s5, c_invalid)),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13858, 13852])).
% 50.06/32.74 tff(13860,plain,
% 50.06/32.74 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p1, s5, c_invalid) | (~node62(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p1, s5, c_invalid) | (~node62(c_p1, s5)))),
% 50.06/32.74 inference(rewrite,[status(thm)],[])).
% 50.06/32.74 tff(13861,plain,
% 50.06/32.74 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p1, s5, c_invalid) | (~node62(c_p1, s5)))),
% 50.06/32.74 inference(quant_inst,[status(thm)],[])).
% 50.06/32.74 tff(13862,plain,
% 50.06/32.74 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p1, s5, c_invalid) | (~node62(c_p1, s5))),
% 50.06/32.74 inference(modus_ponens,[status(thm)],[13861, 13860])).
% 50.06/32.74 tff(13863,plain,
% 50.06/32.74 (~node62(c_p1, s5)),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13862, 1633, 13859])).
% 50.06/32.74 tff(13864,plain,
% 50.06/32.74 (node60(c_p0, s5)),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[7281, 835])).
% 50.06/32.74 tff(13865,plain,
% 50.06/32.74 (~m_processor_v_REPLY_h_STALL(c_p0, s5)),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[7289, 13864])).
% 50.06/32.74 tff(13866,plain,
% 50.06/32.74 (~m_main_v_REPLY_h_STALL(s5)),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[7297, 13865])).
% 50.06/32.74 tff(13867,plain,
% 50.06/32.74 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | (m_main_v_REPLY_h_STALL(s5) | (~m_processor_v_REPLY_h_STALL(c_p1, s5)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | m_main_v_REPLY_h_STALL(s5) | (~m_processor_v_REPLY_h_STALL(c_p1, s5)))),
% 50.06/32.74 inference(rewrite,[status(thm)],[])).
% 50.06/32.74 tff(13868,plain,
% 50.06/32.74 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | (m_main_v_REPLY_h_STALL(s5) | (~m_processor_v_REPLY_h_STALL(c_p1, s5)))),
% 50.06/32.74 inference(quant_inst,[status(thm)],[])).
% 50.06/32.74 tff(13869,plain,
% 50.06/32.74 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | m_main_v_REPLY_h_STALL(s5) | (~m_processor_v_REPLY_h_STALL(c_p1, s5))),
% 50.06/32.74 inference(modus_ponens,[status(thm)],[13868, 13867])).
% 50.06/32.74 tff(13870,plain,
% 50.06/32.74 ($false),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13869, 1399, 7300, 13785])).
% 50.06/32.74 tff(13871,plain,((~m_processor_v_REPLY_h_STALL(c_p1, s5)) | m_main_v_REPLY_h_STALL(s5)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.74 tff(13872,plain,
% 50.06/32.74 (~m_processor_v_REPLY_h_STALL(c_p1, s5)),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13871, 13866])).
% 50.06/32.74 tff(13873,assumption,(node61(c_p1, s5)), introduced(assumption)).
% 50.06/32.74 tff(13874,plain,
% 50.06/32.74 (((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p1, s5) | (~node61(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p1, s5) | (~node61(c_p1, s5)))),
% 50.06/32.74 inference(rewrite,[status(thm)],[])).
% 50.06/32.74 tff(13875,plain,
% 50.06/32.74 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p1, s5) | (~node61(c_p1, s5)))),
% 50.06/32.74 inference(quant_inst,[status(thm)],[])).
% 50.06/32.74 tff(13876,plain,
% 50.06/32.74 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p1, s5) | (~node61(c_p1, s5))),
% 50.06/32.74 inference(modus_ponens,[status(thm)],[13875, 13874])).
% 50.06/32.74 tff(13877,plain,
% 50.06/32.74 ($false),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13876, 1891, 734, 13873])).
% 50.06/32.74 tff(13878,plain,((~node61(c_p1, s5)) | m_processor_v_REPLY_h_WAITING(c_p1, s5)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.74 tff(13879,plain,
% 50.06/32.74 (m_processor_v_REPLY_h_WAITING(c_p1, s5)),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13878, 13873])).
% 50.06/32.74 tff(13880,plain,
% 50.06/32.74 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | (m_main_v_REPLY_h_WAITING(s5) | (~m_processor_v_REPLY_h_WAITING(c_p1, s5)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | m_main_v_REPLY_h_WAITING(s5) | (~m_processor_v_REPLY_h_WAITING(c_p1, s5)))),
% 50.06/32.74 inference(rewrite,[status(thm)],[])).
% 50.06/32.74 tff(13881,plain,
% 50.06/32.74 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | (m_main_v_REPLY_h_WAITING(s5) | (~m_processor_v_REPLY_h_WAITING(c_p1, s5)))),
% 50.06/32.74 inference(quant_inst,[status(thm)],[])).
% 50.06/32.74 tff(13882,plain,
% 50.06/32.74 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | m_main_v_REPLY_h_WAITING(s5) | (~m_processor_v_REPLY_h_WAITING(c_p1, s5))),
% 50.06/32.74 inference(modus_ponens,[status(thm)],[13881, 13880])).
% 50.06/32.74 tff(13883,plain,
% 50.06/32.74 ($false),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13882, 7866, 752, 713])).
% 50.06/32.74 tff(13884,plain,((~m_processor_v_REPLY_h_WAITING(c_p1, s5)) | m_main_v_REPLY_h_WAITING(s5)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.74 tff(13885,plain,
% 50.06/32.74 (m_main_v_REPLY_h_WAITING(s5)),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13884, 13879])).
% 50.06/32.74 tff(13886,plain,
% 50.06/32.74 (((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | ((~m_main_v_REPLY_h_WAITING(s5)) | m_processor_v_REPLY_h_WAITING(c_p0, s5))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | (~m_main_v_REPLY_h_WAITING(s5)) | m_processor_v_REPLY_h_WAITING(c_p0, s5))),
% 50.06/32.74 inference(rewrite,[status(thm)],[])).
% 50.06/32.74 tff(13887,plain,
% 50.06/32.74 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | ((~m_main_v_REPLY_h_WAITING(s5)) | m_processor_v_REPLY_h_WAITING(c_p0, s5))),
% 50.06/32.74 inference(quant_inst,[status(thm)],[])).
% 50.06/32.74 tff(13888,plain,
% 50.06/32.74 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | (~m_main_v_REPLY_h_WAITING(s5)) | m_processor_v_REPLY_h_WAITING(c_p0, s5)),
% 50.06/32.74 inference(modus_ponens,[status(thm)],[13887, 13886])).
% 50.06/32.74 tff(13889,plain,
% 50.06/32.74 ($false),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13888, 7774, 13812, 735])).
% 50.06/32.74 tff(13890,plain,((~m_main_v_REPLY_h_WAITING(s5)) | m_processor_v_REPLY_h_WAITING(c_p0, s5)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.74 tff(13891,plain,
% 50.06/32.74 (m_processor_v_REPLY_h_WAITING(c_p0, s5)),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13890, 13885])).
% 50.06/32.74 tff(13892,assumption,(~node59(c_p0, s5)), introduced(assumption)).
% 50.06/32.74 tff(13893,plain,
% 50.06/32.74 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p0, s5)) | (~node60(c_p0, s5)) | node59(c_p0, s5))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p0, s5)) | (~node60(c_p0, s5)) | node59(c_p0, s5))),
% 50.06/32.74 inference(rewrite,[status(thm)],[])).
% 50.06/32.74 tff(13894,plain,
% 50.06/32.74 ((node59(c_p0, s5) | (~node60(c_p0, s5)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s5))) <=> ((~m_processor_v_REPLY_h_WAITING(c_p0, s5)) | (~node60(c_p0, s5)) | node59(c_p0, s5))),
% 50.06/32.74 inference(rewrite,[status(thm)],[])).
% 50.06/32.74 tff(13895,plain,
% 50.06/32.74 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s5) | (~node60(c_p0, s5)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p0, s5)) | (~node60(c_p0, s5)) | node59(c_p0, s5)))),
% 50.06/32.74 inference(monotonicity,[status(thm)],[13894])).
% 50.06/32.74 tff(13896,plain,
% 50.06/32.74 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s5) | (~node60(c_p0, s5)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p0, s5)) | (~node60(c_p0, s5)) | node59(c_p0, s5))),
% 50.06/32.74 inference(transitivity,[status(thm)],[13895, 13893])).
% 50.06/32.74 tff(13897,plain,
% 50.06/32.74 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s5) | (~node60(c_p0, s5)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s5)))),
% 50.06/32.74 inference(quant_inst,[status(thm)],[])).
% 50.06/32.74 tff(13898,plain,
% 50.06/32.74 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p0, s5)) | (~node60(c_p0, s5)) | node59(c_p0, s5)),
% 50.06/32.74 inference(modus_ponens,[status(thm)],[13897, 13896])).
% 50.06/32.74 tff(13899,plain,
% 50.06/32.74 ($false),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13898, 724, 13777, 13892, 7283])).
% 50.06/32.74 tff(13900,plain,((~node60(c_p0, s5)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s5)) | node59(c_p0, s5)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.74 tff(13901,plain,
% 50.06/32.74 (node59(c_p0, s5)),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13900, 13891, 7283])).
% 50.06/32.74 tff(13902,plain,
% 50.06/32.74 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | (~node61(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | (~node61(c_p1, s5)))),
% 50.06/32.74 inference(rewrite,[status(thm)],[])).
% 50.06/32.74 tff(13903,plain,
% 50.06/32.74 ((m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | (~node61(c_p1, s5))) <=> (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | (~node61(c_p1, s5)))),
% 50.06/32.74 inference(rewrite,[status(thm)],[])).
% 50.06/32.74 tff(13904,plain,
% 50.06/32.74 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | (~node61(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | (~node61(c_p1, s5))))),
% 50.06/32.74 inference(monotonicity,[status(thm)],[13903])).
% 50.06/32.74 tff(13905,plain,
% 50.06/32.74 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | (~node61(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | (~node61(c_p1, s5)))),
% 50.06/32.74 inference(transitivity,[status(thm)],[13904, 13902])).
% 50.06/32.74 tff(13906,plain,
% 50.06/32.74 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | (~node61(c_p1, s5)))),
% 50.06/32.74 inference(quant_inst,[status(thm)],[])).
% 50.06/32.74 tff(13907,plain,
% 50.06/32.74 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | (~node61(c_p1, s5))),
% 50.06/32.74 inference(modus_ponens,[status(thm)],[13906, 13905])).
% 50.06/32.74 tff(13908,plain,
% 50.06/32.74 ($false),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13907, 2268, 424, 650, 13873])).
% 50.06/32.74 tff(13909,plain,((~node61(c_p1, s5)) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.74 tff(13910,plain,
% 50.06/32.74 (m_processor_v_CMD(c_p1, s5, c_read_h_shared)),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13909, 13873, 424])).
% 50.06/32.74 tff(13911,assumption,(m_processor_v_CMD(c_p1, s5, c_read_h_shared)), introduced(assumption)).
% 50.06/32.74 tff(13912,assumption,(~m_main_v_CMD(s5, c_read_h_shared)), introduced(assumption)).
% 50.06/32.74 tff(13913,plain,
% 50.06/32.74 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s5, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)) | (~node3(s5)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s5, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)) | (~node3(s5)))),
% 50.06/32.74 inference(rewrite,[status(thm)],[])).
% 50.06/32.74 tff(13914,plain,
% 50.06/32.74 ((m_main_v_CMD(s5, c_read_h_shared) | (~node3(s5)) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared))) <=> (m_main_v_CMD(s5, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)) | (~node3(s5)))),
% 50.06/32.74 inference(rewrite,[status(thm)],[])).
% 50.06/32.74 tff(13915,plain,
% 50.06/32.74 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s5, c_read_h_shared) | (~node3(s5)) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s5, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)) | (~node3(s5))))),
% 50.06/32.74 inference(monotonicity,[status(thm)],[13914])).
% 50.06/32.74 tff(13916,plain,
% 50.06/32.74 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s5, c_read_h_shared) | (~node3(s5)) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s5, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)) | (~node3(s5)))),
% 50.06/32.74 inference(transitivity,[status(thm)],[13915, 13913])).
% 50.06/32.74 tff(13917,plain,
% 50.06/32.74 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s5, c_read_h_shared) | (~node3(s5)) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)))),
% 50.06/32.74 inference(quant_inst,[status(thm)],[])).
% 50.06/32.74 tff(13918,plain,
% 50.06/32.74 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s5, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)) | (~node3(s5))),
% 50.06/32.74 inference(modus_ponens,[status(thm)],[13917, 13916])).
% 50.06/32.74 tff(13919,plain,
% 50.06/32.74 ($false),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13918, 1260, 13607, 13912, 13911])).
% 50.06/32.74 tff(13920,plain,(m_main_v_CMD(s5, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 50.06/32.74 tff(13921,plain,
% 50.06/32.74 (m_main_v_CMD(s5, c_read_h_shared)),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13920, 13910])).
% 50.06/32.74 tff(13922,assumption,(m_main_v_CMD(s5, c_read_h_shared)), introduced(assumption)).
% 50.06/32.74 tff(13923,plain,
% 50.06/32.74 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s5, c_read_h_shared) | (~m_main_v_CMD(s5, c_read_h_shared)) | (~node2(s5)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | (~m_main_v_CMD(s5, c_read_h_shared)) | (~node2(s5)))),
% 50.06/32.74 inference(rewrite,[status(thm)],[])).
% 50.06/32.74 tff(13924,plain,
% 50.06/32.74 (((~m_main_v_CMD(s5, c_read_h_shared)) | (~node2(s5)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared)) <=> (m_processor_v_CMD(c_p0, s5, c_read_h_shared) | (~m_main_v_CMD(s5, c_read_h_shared)) | (~node2(s5)))),
% 50.06/32.74 inference(rewrite,[status(thm)],[])).
% 50.06/32.74 tff(13925,plain,
% 50.06/32.74 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s5, c_read_h_shared)) | (~node2(s5)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s5, c_read_h_shared) | (~m_main_v_CMD(s5, c_read_h_shared)) | (~node2(s5))))),
% 50.06/32.74 inference(monotonicity,[status(thm)],[13924])).
% 50.06/32.74 tff(13926,plain,
% 50.06/32.74 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s5, c_read_h_shared)) | (~node2(s5)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | (~m_main_v_CMD(s5, c_read_h_shared)) | (~node2(s5)))),
% 50.06/32.74 inference(transitivity,[status(thm)],[13925, 13923])).
% 50.06/32.74 tff(13927,plain,
% 50.06/32.74 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s5, c_read_h_shared)) | (~node2(s5)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared))),
% 50.06/32.74 inference(quant_inst,[status(thm)],[])).
% 50.06/32.74 tff(13928,plain,
% 50.06/32.74 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | (~m_main_v_CMD(s5, c_read_h_shared)) | (~node2(s5))),
% 50.06/32.74 inference(modus_ponens,[status(thm)],[13927, 13926])).
% 50.06/32.74 tff(13929,plain,
% 50.06/32.74 ($false),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13928, 1228, 13841, 13922, 1025])).
% 50.06/32.74 tff(13930,plain,((~m_main_v_CMD(s5, c_read_h_shared)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.74 tff(13931,plain,
% 50.06/32.74 (m_processor_v_CMD(c_p0, s5, c_read_h_shared)),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13930, 13921])).
% 50.06/32.74 tff(13932,plain,
% 50.06/32.74 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s5, c_read_h_shared)) | (~node59(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)) | (~node59(c_p0, s5)))),
% 50.06/32.74 inference(rewrite,[status(thm)],[])).
% 50.06/32.74 tff(13933,plain,
% 50.06/32.74 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s5, c_read_h_shared)) | (~node59(c_p0, s5)))),
% 50.06/32.74 inference(quant_inst,[status(thm)],[])).
% 50.06/32.74 tff(13934,plain,
% 50.06/32.74 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)) | (~node59(c_p0, s5))),
% 50.06/32.74 inference(modus_ponens,[status(thm)],[13933, 13932])).
% 50.06/32.74 tff(13935,plain,
% 50.06/32.74 ($false),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13934, 3834, 13931, 13901])).
% 50.06/32.74 tff(13936,plain,((~node61(c_p1, s5)) | (~node60(c_p0, s5)) | m_processor_v_CMD(c_p1, s5, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.74 tff(13937,plain,
% 50.06/32.74 (~node61(c_p1, s5)),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13936, 13851, 13864])).
% 50.06/32.74 tff(13938,assumption,(~node61(c_p1, s5)), introduced(assumption)).
% 50.06/32.74 tff(13939,assumption,(m_processor_v_abort(c_p1, s5)), introduced(assumption)).
% 50.06/32.74 tff(13940,plain,
% 50.06/32.74 (((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p1, s5)) | m_processor_v_REPLY_h_STALL(c_p1, s5) | node61(c_p1, s5))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p1, s5)) | m_processor_v_REPLY_h_STALL(c_p1, s5) | node61(c_p1, s5))),
% 50.06/32.74 inference(rewrite,[status(thm)],[])).
% 50.06/32.74 tff(13941,plain,
% 50.06/32.74 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p1, s5)) | m_processor_v_REPLY_h_STALL(c_p1, s5) | node61(c_p1, s5))),
% 50.06/32.74 inference(quant_inst,[status(thm)],[])).
% 50.06/32.74 tff(13942,plain,
% 50.06/32.74 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p1, s5)) | m_processor_v_REPLY_h_STALL(c_p1, s5) | node61(c_p1, s5)),
% 50.06/32.74 inference(modus_ponens,[status(thm)],[13941, 13940])).
% 50.06/32.74 tff(13943,plain,
% 50.06/32.74 ($false),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13942, 1417, 13939, 13792, 13938])).
% 50.06/32.74 tff(13944,plain,((~m_processor_v_abort(c_p1, s5)) | m_processor_v_REPLY_h_STALL(c_p1, s5) | node61(c_p1, s5)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.74 tff(13945,plain,
% 50.06/32.74 (~m_processor_v_abort(c_p1, s5)),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13944, 13937, 13872])).
% 50.06/32.74 tff(13946,plain,
% 50.06/32.74 (node34(c_p1, s5, s6)),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[290, 13945, 13822])).
% 50.06/32.74 tff(13947,plain,
% 50.06/32.74 (((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | ((~node16(s5)) | (~m_processor_v_master(c_p1, s5)))) <=> ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | (~node16(s5)) | (~m_processor_v_master(c_p1, s5)))),
% 50.06/32.74 inference(rewrite,[status(thm)],[])).
% 50.06/32.74 tff(13948,plain,
% 50.06/32.74 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | ((~node16(s5)) | (~m_processor_v_master(c_p1, s5)))),
% 50.06/32.74 inference(quant_inst,[status(thm)],[])).
% 50.06/32.74 tff(13949,plain,
% 50.06/32.74 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | (~node16(s5)) | (~m_processor_v_master(c_p1, s5))),
% 50.06/32.74 inference(modus_ponens,[status(thm)],[13948, 13947])).
% 50.06/32.74 tff(13950,plain,
% 50.06/32.74 (~node16(s5)),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13949, 3386, 13822])).
% 50.06/32.74 tff(13951,assumption,(~node16(s5)), introduced(assumption)).
% 50.06/32.74 tff(13952,plain,
% 50.06/32.74 ($false),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[7070, 1545, 13750, 13951])).
% 50.06/32.74 tff(13953,plain,(node16(s5) | (~m_processor_v_master(c_p2, s5))), inference(lemma,lemma(discharge,[]))).
% 50.06/32.74 tff(13954,plain,
% 50.06/32.74 (~m_processor_v_master(c_p2, s5)),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13953, 13950])).
% 50.06/32.74 tff(13955,plain,
% 50.06/32.74 (m_processor_v_cmd(c_p2, s5, c_idle)),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[7120, 13954])).
% 50.06/32.74 tff(13956,plain,
% 50.06/32.74 (((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | (m_processor_v_cmd(c_p1, s5, c_idle) | (~node9(s5)))) <=> ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | m_processor_v_cmd(c_p1, s5, c_idle) | (~node9(s5)))),
% 50.06/32.74 inference(rewrite,[status(thm)],[])).
% 50.06/32.74 tff(13957,plain,
% 50.06/32.74 ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | (m_processor_v_cmd(c_p1, s5, c_idle) | (~node9(s5)))),
% 50.06/32.74 inference(quant_inst,[status(thm)],[])).
% 50.06/32.74 tff(13958,plain,
% 50.06/32.74 ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | m_processor_v_cmd(c_p1, s5, c_idle) | (~node9(s5))),
% 50.06/32.74 inference(modus_ponens,[status(thm)],[13957, 13956])).
% 50.06/32.74 tff(13959,plain,
% 50.06/32.74 (~node9(s5)),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13958, 3443, 7019])).
% 50.06/32.74 tff(13960,plain,
% 50.06/32.74 (~node62(c_p0, s5)),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13633, 1493, 13823])).
% 50.06/32.74 tff(13961,plain,
% 50.06/32.74 (~node63(c_p0, s5)),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13629, 1469, 13823])).
% 50.06/32.74 tff(13962,plain,
% 50.06/32.74 (m_processor_v_cmd(c_p0, s5, c_idle)),
% 50.06/32.74 inference(unit_resolution,[status(thm)],[13655, 13961, 13823, 13960])).
% 50.06/32.74 tff(13963,plain,
% 50.06/32.74 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s5) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p2, s5, c_idle)) | (~m_memory_v_cmd(c_m, s5, c_idle)) | node10(s5))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s5) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p2, s5, c_idle)) | (~m_memory_v_cmd(c_m, s5, c_idle)) | node10(s5))),
% 50.06/32.74 inference(rewrite,[status(thm)],[])).
% 50.06/32.74 tff(13964,plain,
% 50.06/32.74 ((node9(s5) | node10(s5) | (~m_memory_v_cmd(c_m, s5, c_idle)) | (~m_processor_v_cmd(c_p2, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_idle))) <=> (node9(s5) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p2, s5, c_idle)) | (~m_memory_v_cmd(c_m, s5, c_idle)) | node10(s5))),
% 50.06/32.74 inference(rewrite,[status(thm)],[])).
% 50.06/32.74 tff(13965,plain,
% 50.06/32.74 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s5) | node10(s5) | (~m_memory_v_cmd(c_m, s5, c_idle)) | (~m_processor_v_cmd(c_p2, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_idle)))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s5) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p2, s5, c_idle)) | (~m_memory_v_cmd(c_m, s5, c_idle)) | node10(s5)))),
% 50.06/32.74 inference(monotonicity,[status(thm)],[13964])).
% 50.06/32.74 tff(13966,plain,
% 50.06/32.74 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s5) | node10(s5) | (~m_memory_v_cmd(c_m, s5, c_idle)) | (~m_processor_v_cmd(c_p2, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_idle)))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s5) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p2, s5, c_idle)) | (~m_memory_v_cmd(c_m, s5, c_idle)) | node10(s5))),
% 50.06/32.74 inference(transitivity,[status(thm)],[13965, 13963])).
% 50.06/32.74 tff(13967,plain,
% 50.06/32.74 ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s5) | node10(s5) | (~m_memory_v_cmd(c_m, s5, c_idle)) | (~m_processor_v_cmd(c_p2, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_idle)))),
% 50.06/32.75 inference(quant_inst,[status(thm)],[])).
% 50.06/32.75 tff(13968,plain,
% 50.06/32.75 ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s5) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p2, s5, c_idle)) | (~m_memory_v_cmd(c_m, s5, c_idle)) | node10(s5)),
% 50.06/32.75 inference(modus_ponens,[status(thm)],[13967, 13966])).
% 50.06/32.75 tff(13969,plain,
% 50.06/32.75 (node9(s5) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p2, s5, c_idle)) | node10(s5)),
% 50.06/32.75 inference(unit_resolution,[status(thm)],[13968, 3461, 13729])).
% 50.06/32.75 tff(13970,plain,
% 50.06/32.75 (node10(s5)),
% 50.06/32.75 inference(unit_resolution,[status(thm)],[13969, 13962, 13959, 13955])).
% 50.06/32.75 tff(13971,plain,
% 50.06/32.75 (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)),
% 50.06/32.75 inference(unit_resolution,[status(thm)],[422, 416, 1, 13946])).
% 50.06/32.75 tff(13972,plain,
% 50.06/32.75 (m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_invalid) | (~m_processor_v_CMD(c_p1, s5, c_write_h_invalid))),
% 50.06/32.75 inference(unit_resolution,[status(thm)],[518, 512, 406, 424])).
% 50.06/32.75 tff(13973,plain,
% 50.06/32.75 (~m_processor_v_CMD(c_p1, s5, c_write_h_invalid)),
% 50.06/32.75 inference(unit_resolution,[status(thm)],[13972, 143, 650])).
% 50.06/32.75 tff(13974,plain,
% 50.06/32.75 (m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_invalid) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid))),
% 50.06/32.75 inference(unit_resolution,[status(thm)],[444, 438, 406, 424])).
% 50.06/32.75 tff(13975,plain,
% 50.06/32.75 (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid)),
% 50.06/32.75 inference(unit_resolution,[status(thm)],[13974, 13973, 143, 650])).
% 50.06/32.75 tff(13976,plain,
% 50.06/32.75 (m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_shared) | (~m_processor_v_CMD(c_p1, s5, c_write_h_shared))),
% 50.06/32.75 inference(unit_resolution,[status(thm)],[462, 456, 406, 424])).
% 50.06/32.75 tff(13977,plain,
% 50.06/32.75 (~m_processor_v_CMD(c_p1, s5, c_write_h_shared)),
% 50.06/32.75 inference(unit_resolution,[status(thm)],[13976, 13975, 1, 650, 13973])).
% 50.06/32.75 tff(13978,assumption,(node10(s5)), introduced(assumption)).
% 50.06/32.75 tff(13979,assumption,(~node63(c_p1, s5)), introduced(assumption)).
% 50.06/32.75 tff(13980,assumption,(~node62(c_p1, s5)), introduced(assumption)).
% 50.06/32.75 tff(13981,plain,
% 50.06/32.75 (m_processor_v_state(c_p1, s6, c_invalid) | (~m_processor_v_CMD(c_p1, s5, c_write_h_invalid))),
% 50.06/32.75 inference(unit_resolution,[status(thm)],[518, 512, 406, 424, 650])).
% 50.06/32.75 tff(13982,plain,
% 50.06/32.75 (~m_processor_v_CMD(c_p1, s5, c_write_h_invalid)),
% 50.06/32.75 inference(unit_resolution,[status(thm)],[13981, 143])).
% 50.06/32.75 tff(13983,plain,
% 50.06/32.75 (m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_state(c_p1, s6, c_invalid) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid))),
% 50.06/32.75 inference(unit_resolution,[status(thm)],[444, 438, 406, 424, 650])).
% 50.06/32.75 tff(13984,plain,
% 50.06/32.75 (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid)),
% 50.06/32.75 inference(unit_resolution,[status(thm)],[13983, 13982, 143])).
% 50.06/32.75 tff(13985,assumption,(m_main_v_CMD(s5, c_write_h_resp_h_invalid)), introduced(assumption)).
% 50.06/32.75 tff(13986,assumption,(~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid)), introduced(assumption)).
% 50.06/32.75 tff(13987,plain,
% 50.06/32.75 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node3(s5)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node3(s5)))),
% 50.06/32.75 inference(rewrite,[status(thm)],[])).
% 50.06/32.75 tff(13988,plain,
% 50.06/32.75 (((~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node3(s5)) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid)) <=> (m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node3(s5)))),
% 50.06/32.75 inference(rewrite,[status(thm)],[])).
% 50.06/32.75 tff(13989,plain,
% 50.06/32.75 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node3(s5)) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node3(s5))))),
% 50.06/32.75 inference(monotonicity,[status(thm)],[13988])).
% 50.06/32.75 tff(13990,plain,
% 50.06/32.75 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node3(s5)) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node3(s5)))),
% 50.06/32.75 inference(transitivity,[status(thm)],[13989, 13987])).
% 50.06/32.75 tff(13991,plain,
% 50.06/32.75 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node3(s5)) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid))),
% 50.06/32.75 inference(quant_inst,[status(thm)],[])).
% 50.06/32.75 tff(13992,plain,
% 50.06/32.75 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node3(s5))),
% 50.06/32.75 inference(modus_ponens,[status(thm)],[13991, 13990])).
% 50.06/32.75 tff(13993,plain,
% 50.06/32.75 ($false),
% 50.06/32.75 inference(unit_resolution,[status(thm)],[13992, 1945, 13607, 13986, 13985])).
% 50.06/32.75 tff(13994,plain,((~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.75 tff(13995,plain,
% 50.06/32.75 (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)),
% 50.06/32.75 inference(unit_resolution,[status(thm)],[13994, 13984])).
% 50.06/32.75 tff(13996,plain,
% 50.06/32.75 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_invalid)) | m_main_v_CMD(s5, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_invalid)) | m_main_v_CMD(s5, c_write_h_resp_h_invalid))),
% 50.06/32.75 inference(rewrite,[status(thm)],[])).
% 50.06/32.75 tff(13997,plain,
% 50.06/32.75 ((m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_invalid))) <=> ((~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_invalid)) | m_main_v_CMD(s5, c_write_h_resp_h_invalid))),
% 50.06/32.75 inference(rewrite,[status(thm)],[])).
% 50.06/32.75 tff(13998,plain,
% 50.06/32.75 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_invalid)) | m_main_v_CMD(s5, c_write_h_resp_h_invalid)))),
% 50.06/32.75 inference(monotonicity,[status(thm)],[13997])).
% 50.06/32.75 tff(13999,plain,
% 50.06/32.75 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_invalid)) | m_main_v_CMD(s5, c_write_h_resp_h_invalid))),
% 50.06/32.75 inference(transitivity,[status(thm)],[13998, 13996])).
% 50.06/32.75 tff(14000,plain,
% 50.06/32.75 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_invalid)))),
% 50.06/32.75 inference(quant_inst,[status(thm)],[])).
% 50.06/32.75 tff(14001,plain,
% 50.06/32.75 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_invalid)) | m_main_v_CMD(s5, c_write_h_resp_h_invalid)),
% 50.06/32.75 inference(modus_ponens,[status(thm)],[14000, 13999])).
% 50.06/32.75 tff(14002,plain,
% 50.06/32.75 (~m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_invalid)),
% 50.06/32.75 inference(unit_resolution,[status(thm)],[14001, 3481, 13995, 13978])).
% 50.06/32.75 tff(14003,plain,
% 50.06/32.75 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node63(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s5, c_owned)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node63(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s5, c_owned)))),
% 50.06/32.75 inference(rewrite,[status(thm)],[])).
% 50.06/32.75 tff(14004,plain,
% 50.06/32.75 ((m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s5, c_owned)) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node63(c_p1, s5)) <=> ((~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node63(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s5, c_owned)))),
% 50.06/32.75 inference(rewrite,[status(thm)],[])).
% 50.06/32.75 tff(14005,plain,
% 50.06/32.75 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s5, c_owned)) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node63(c_p1, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node63(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s5, c_owned))))),
% 50.06/32.75 inference(monotonicity,[status(thm)],[14004])).
% 50.06/32.75 tff(14006,plain,
% 50.06/32.75 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s5, c_owned)) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node63(c_p1, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node63(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s5, c_owned)))),
% 50.06/32.75 inference(transitivity,[status(thm)],[14005, 14003])).
% 50.06/32.75 tff(14007,plain,
% 50.06/32.75 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s5, c_owned)) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node63(c_p1, s5))),
% 50.06/32.75 inference(quant_inst,[status(thm)],[])).
% 50.06/32.75 tff(14008,plain,
% 50.06/32.75 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node63(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s5, c_owned))),
% 50.06/32.75 inference(modus_ponens,[status(thm)],[14007, 14006])).
% 50.06/32.75 tff(14009,plain,
% 50.06/32.75 ((~m_processor_v_state(c_p1, s5, c_owned)) | node62(c_p1, s5) | node63(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s5, c_owned))),
% 50.06/32.75 inference(unit_resolution,[status(thm)],[14008, 7172, 13822])).
% 50.06/32.75 tff(14010,plain,
% 50.06/32.75 (~m_processor_v_snoop(c_p1, s5, c_owned)),
% 50.06/32.75 inference(unit_resolution,[status(thm)],[14009, 14002, 13853, 13980, 13979])).
% 50.06/32.75 tff(14011,assumption,(~m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.06/32.75 tff(14012,assumption,(m_main_v_CMD(s5, c_write_h_invalid)), introduced(assumption)).
% 50.06/32.75 tff(14013,plain,
% 50.06/32.75 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | (~m_main_v_CMD(s5, c_write_h_invalid)) | (~node3(s5)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | (~m_main_v_CMD(s5, c_write_h_invalid)) | (~node3(s5)))),
% 50.06/32.75 inference(rewrite,[status(thm)],[])).
% 50.06/32.75 tff(14014,plain,
% 50.06/32.75 (((~m_main_v_CMD(s5, c_write_h_invalid)) | (~node3(s5)) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid)) <=> (m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | (~m_main_v_CMD(s5, c_write_h_invalid)) | (~node3(s5)))),
% 50.06/32.75 inference(rewrite,[status(thm)],[])).
% 50.06/32.75 tff(14015,plain,
% 50.06/32.75 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s5, c_write_h_invalid)) | (~node3(s5)) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | (~m_main_v_CMD(s5, c_write_h_invalid)) | (~node3(s5))))),
% 50.06/32.75 inference(monotonicity,[status(thm)],[14014])).
% 50.06/32.75 tff(14016,plain,
% 50.06/32.75 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s5, c_write_h_invalid)) | (~node3(s5)) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | (~m_main_v_CMD(s5, c_write_h_invalid)) | (~node3(s5)))),
% 50.06/32.75 inference(transitivity,[status(thm)],[14015, 14013])).
% 50.06/32.75 tff(14017,plain,
% 50.06/32.75 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s5, c_write_h_invalid)) | (~node3(s5)) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid))),
% 50.06/32.75 inference(quant_inst,[status(thm)],[])).
% 50.06/32.75 tff(14018,plain,
% 50.06/32.75 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | (~m_main_v_CMD(s5, c_write_h_invalid)) | (~node3(s5))),
% 50.06/32.75 inference(modus_ponens,[status(thm)],[14017, 14016])).
% 50.06/32.75 tff(14019,plain,
% 50.06/32.75 ($false),
% 50.06/32.75 inference(unit_resolution,[status(thm)],[14018, 1945, 428, 13607, 14012])).
% 50.06/32.75 tff(14020,plain,((~m_main_v_CMD(s5, c_write_h_invalid)) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.06/32.75 tff(14021,plain,
% 50.06/32.75 (~m_main_v_CMD(s5, c_write_h_invalid)),
% 50.06/32.75 inference(unit_resolution,[status(thm)],[14020, 13982])).
% 50.06/32.75 tff(14022,plain,
% 50.06/32.75 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_invalid)) | m_main_v_CMD(s5, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_invalid)) | m_main_v_CMD(s5, c_write_h_invalid))),
% 50.06/32.75 inference(rewrite,[status(thm)],[])).
% 50.06/32.75 tff(14023,plain,
% 50.06/32.75 ((m_main_v_CMD(s5, c_write_h_invalid) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_invalid))) <=> ((~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_invalid)) | m_main_v_CMD(s5, c_write_h_invalid))),
% 50.06/32.75 inference(rewrite,[status(thm)],[])).
% 50.06/32.75 tff(14024,plain,
% 50.06/32.75 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s5, c_write_h_invalid) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_invalid)) | m_main_v_CMD(s5, c_write_h_invalid)))),
% 50.06/32.75 inference(monotonicity,[status(thm)],[14023])).
% 50.06/32.75 tff(14025,plain,
% 50.06/32.75 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s5, c_write_h_invalid) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_invalid)) | m_main_v_CMD(s5, c_write_h_invalid))),
% 50.06/32.75 inference(transitivity,[status(thm)],[14024, 14022])).
% 50.06/32.75 tff(14026,plain,
% 50.06/32.75 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s5, c_write_h_invalid) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_invalid)))),
% 50.06/32.75 inference(quant_inst,[status(thm)],[])).
% 50.06/32.75 tff(14027,plain,
% 50.06/32.75 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_invalid)) | m_main_v_CMD(s5, c_write_h_invalid)),
% 50.06/32.75 inference(modus_ponens,[status(thm)],[14026, 14025])).
% 50.06/32.75 tff(14028,plain,
% 50.06/32.75 (~m_processor_v_cmd(c_p1, s5, c_write_h_invalid)),
% 50.06/32.75 inference(unit_resolution,[status(thm)],[14027, 3481, 14021, 13978])).
% 50.06/32.75 tff(14029,assumption,(~node64(c_p1, s5)), introduced(assumption)).
% 50.06/32.75 tff(14030,plain,
% 50.06/32.75 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_state(c_p1, s5, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_state(c_p1, s5, c_shared)))),
% 50.06/32.75 inference(rewrite,[status(thm)],[])).
% 50.06/32.75 tff(14031,plain,
% 50.06/32.75 (((~m_processor_v_state(c_p1, s5, c_shared)) | (~m_processor_v_state(c_p1, s5, c_owned))) <=> ((~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_state(c_p1, s5, c_shared)))),
% 50.06/32.75 inference(rewrite,[status(thm)],[])).
% 50.06/32.75 tff(14032,plain,
% 50.06/32.75 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s5, c_shared)) | (~m_processor_v_state(c_p1, s5, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_state(c_p1, s5, c_shared))))),
% 50.06/32.75 inference(monotonicity,[status(thm)],[14031])).
% 50.06/32.75 tff(14033,plain,
% 50.06/32.75 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s5, c_shared)) | (~m_processor_v_state(c_p1, s5, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_state(c_p1, s5, c_shared)))),
% 50.06/32.75 inference(transitivity,[status(thm)],[14032, 14030])).
% 50.06/32.75 tff(14034,plain,
% 50.06/32.75 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p1, s5, c_shared)) | (~m_processor_v_state(c_p1, s5, c_owned)))),
% 50.06/32.75 inference(quant_inst,[status(thm)],[])).
% 50.06/32.75 tff(14035,plain,
% 50.06/32.75 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_state(c_p1, s5, c_shared))),
% 50.06/32.75 inference(modus_ponens,[status(thm)],[14034, 14033])).
% 50.06/32.75 tff(14036,plain,
% 50.06/32.75 (~m_processor_v_state(c_p1, s5, c_shared)),
% 50.06/32.75 inference(unit_resolution,[status(thm)],[14035, 121, 13853])).
% 50.06/32.75 tff(14037,plain,
% 50.06/32.75 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p1, s5, c_shared) | (~node63(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p1, s5, c_shared) | (~node63(c_p1, s5)))),
% 50.06/32.75 inference(rewrite,[status(thm)],[])).
% 50.06/32.75 tff(14038,plain,
% 50.06/32.75 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p1, s5, c_shared) | (~node63(c_p1, s5)))),
% 50.06/32.75 inference(quant_inst,[status(thm)],[])).
% 50.06/32.75 tff(14039,plain,
% 50.06/32.75 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p1, s5, c_shared) | (~node63(c_p1, s5))),
% 50.06/32.75 inference(modus_ponens,[status(thm)],[14038, 14037])).
% 50.06/32.75 tff(14040,plain,
% 50.06/32.75 (~node63(c_p1, s5)),
% 50.06/32.75 inference(unit_resolution,[status(thm)],[14039, 1809, 14036])).
% 50.06/32.75 tff(14041,plain,
% 50.06/32.75 (~m_processor_v_state(c_p1, s5, c_invalid)),
% 50.06/32.75 inference(unit_resolution,[status(thm)],[13856, 137, 13853])).
% 50.06/32.75 tff(14042,plain,
% 50.06/32.75 (~node62(c_p1, s5)),
% 50.06/32.75 inference(unit_resolution,[status(thm)],[13862, 1633, 14041])).
% 50.06/32.75 tff(14043,plain,
% 50.06/32.75 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node64(c_p1, s5) | node63(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s5, c_shared)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node64(c_p1, s5) | node63(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s5, c_shared)))),
% 50.06/32.75 inference(rewrite,[status(thm)],[])).
% 50.06/32.75 tff(14044,plain,
% 50.06/32.75 ((m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s5, c_shared)) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node63(c_p1, s5) | node64(c_p1, s5)) <=> ((~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node64(c_p1, s5) | node63(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s5, c_shared)))),
% 50.06/32.75 inference(rewrite,[status(thm)],[])).
% 50.06/32.75 tff(14045,plain,
% 50.06/32.75 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s5, c_shared)) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node63(c_p1, s5) | node64(c_p1, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node64(c_p1, s5) | node63(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s5, c_shared))))),
% 50.14/32.75 inference(monotonicity,[status(thm)],[14044])).
% 50.14/32.75 tff(14046,plain,
% 50.14/32.75 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s5, c_shared)) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node63(c_p1, s5) | node64(c_p1, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node64(c_p1, s5) | node63(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s5, c_shared)))),
% 50.14/32.75 inference(transitivity,[status(thm)],[14045, 14043])).
% 50.14/32.75 tff(14047,plain,
% 50.14/32.75 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s5, c_shared)) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node63(c_p1, s5) | node64(c_p1, s5))),
% 50.14/32.75 inference(quant_inst,[status(thm)],[])).
% 50.14/32.75 tff(14048,plain,
% 50.14/32.75 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node64(c_p1, s5) | node63(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s5, c_shared))),
% 50.14/32.75 inference(modus_ponens,[status(thm)],[14047, 14046])).
% 50.14/32.75 tff(14049,plain,
% 50.14/32.75 (node62(c_p1, s5) | node64(c_p1, s5) | node63(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s5, c_shared))),
% 50.14/32.75 inference(unit_resolution,[status(thm)],[14048, 7256, 13853, 13590])).
% 50.14/32.75 tff(14050,plain,
% 50.14/32.75 (~m_processor_v_snoop(c_p1, s5, c_shared)),
% 50.14/32.75 inference(unit_resolution,[status(thm)],[14049, 14029, 14042, 14040, 14011])).
% 50.14/32.75 tff(14051,plain,
% 50.14/32.75 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p1, s5, c_shared) | (~node65(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p1, s5, c_shared) | (~node65(c_p1, s5)))),
% 50.14/32.75 inference(rewrite,[status(thm)],[])).
% 50.14/32.75 tff(14052,plain,
% 50.14/32.75 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p1, s5, c_shared) | (~node65(c_p1, s5)))),
% 50.14/32.75 inference(quant_inst,[status(thm)],[])).
% 50.14/32.75 tff(14053,plain,
% 50.14/32.75 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p1, s5, c_shared) | (~node65(c_p1, s5))),
% 50.14/32.75 inference(modus_ponens,[status(thm)],[14052, 14051])).
% 50.14/32.75 tff(14054,plain,
% 50.14/32.75 (~node65(c_p1, s5)),
% 50.14/32.75 inference(unit_resolution,[status(thm)],[14053, 4107, 14050])).
% 50.14/32.75 tff(14055,plain,
% 50.14/32.75 (node64(c_p1, s5) | node65(c_p1, s5) | node66(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_idle)),
% 50.14/32.76 inference(unit_resolution,[status(thm)],[7025, 1508, 14042, 14040])).
% 50.14/32.76 tff(14056,plain,
% 50.14/32.76 (node66(c_p1, s5)),
% 50.14/32.76 inference(unit_resolution,[status(thm)],[14055, 14054, 7019, 14029])).
% 50.14/32.76 tff(14057,assumption,(~m_processor_v_cmd(c_p1, s5, c_write_h_invalid)), introduced(assumption)).
% 50.14/32.76 tff(14058,plain,
% 50.14/32.76 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node64(c_p1, s5) | node65(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_write_h_invalid) | node63(c_p1, s5) | (~m_processor_v_snoop(c_p1, s5, c_invalid)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node64(c_p1, s5) | node65(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_write_h_invalid) | node63(c_p1, s5) | (~m_processor_v_snoop(c_p1, s5, c_invalid)))),
% 50.14/32.76 inference(rewrite,[status(thm)],[])).
% 50.14/32.76 tff(14059,plain,
% 50.14/32.76 ((m_processor_v_cmd(c_p1, s5, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s5, c_invalid)) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node63(c_p1, s5) | node64(c_p1, s5) | node65(c_p1, s5)) <=> ((~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node64(c_p1, s5) | node65(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_write_h_invalid) | node63(c_p1, s5) | (~m_processor_v_snoop(c_p1, s5, c_invalid)))),
% 50.14/32.76 inference(rewrite,[status(thm)],[])).
% 50.14/32.76 tff(14060,plain,
% 50.14/32.76 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p1, s5, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s5, c_invalid)) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node63(c_p1, s5) | node64(c_p1, s5) | node65(c_p1, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node64(c_p1, s5) | node65(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_write_h_invalid) | node63(c_p1, s5) | (~m_processor_v_snoop(c_p1, s5, c_invalid))))),
% 50.14/32.76 inference(monotonicity,[status(thm)],[14059])).
% 50.14/32.76 tff(14061,plain,
% 50.14/32.76 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p1, s5, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s5, c_invalid)) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node63(c_p1, s5) | node64(c_p1, s5) | node65(c_p1, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node64(c_p1, s5) | node65(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_write_h_invalid) | node63(c_p1, s5) | (~m_processor_v_snoop(c_p1, s5, c_invalid)))),
% 50.14/32.76 inference(transitivity,[status(thm)],[14060, 14058])).
% 50.14/32.76 tff(14062,plain,
% 50.14/32.76 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p1, s5, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s5, c_invalid)) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node63(c_p1, s5) | node64(c_p1, s5) | node65(c_p1, s5))),
% 50.14/32.76 inference(quant_inst,[status(thm)],[])).
% 50.14/32.76 tff(14063,plain,
% 50.14/32.76 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | node64(c_p1, s5) | node65(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_write_h_invalid) | node63(c_p1, s5) | (~m_processor_v_snoop(c_p1, s5, c_invalid))),
% 50.14/32.76 inference(modus_ponens,[status(thm)],[14062, 14061])).
% 50.14/32.76 tff(14064,plain,
% 50.14/32.76 (node62(c_p1, s5) | node64(c_p1, s5) | node65(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_write_h_invalid) | node63(c_p1, s5) | (~m_processor_v_snoop(c_p1, s5, c_invalid))),
% 50.14/32.76 inference(unit_resolution,[status(thm)],[14063, 7232, 13853, 13590])).
% 50.14/32.76 tff(14065,plain,
% 50.14/32.76 (~m_processor_v_snoop(c_p1, s5, c_invalid)),
% 50.14/32.76 inference(unit_resolution,[status(thm)],[14064, 14054, 14042, 14057, 14040, 14029])).
% 50.14/32.76 tff(14066,plain,
% 50.14/32.76 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | (m_processor_v_snoop(c_p1, s5, c_invalid) | (~node66(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | m_processor_v_snoop(c_p1, s5, c_invalid) | (~node66(c_p1, s5)))),
% 50.14/32.76 inference(rewrite,[status(thm)],[])).
% 50.14/32.76 tff(14067,plain,
% 50.14/32.76 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | (m_processor_v_snoop(c_p1, s5, c_invalid) | (~node66(c_p1, s5)))),
% 50.14/32.76 inference(quant_inst,[status(thm)],[])).
% 50.14/32.76 tff(14068,plain,
% 50.14/32.76 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | m_processor_v_snoop(c_p1, s5, c_invalid) | (~node66(c_p1, s5))),
% 50.14/32.76 inference(modus_ponens,[status(thm)],[14067, 14066])).
% 50.14/32.76 tff(14069,plain,
% 50.14/32.76 ($false),
% 50.14/32.76 inference(unit_resolution,[status(thm)],[14068, 9118, 14065, 14056])).
% 50.14/32.76 tff(14070,plain,(node64(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_idle) | m_processor_v_cmd(c_p1, s5, c_write_h_invalid) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_master(c_p1, s5)) | m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.14/32.76 tff(14071,plain,
% 50.14/32.76 (node64(c_p1, s5)),
% 50.14/32.76 inference(unit_resolution,[status(thm)],[14070, 14028, 13853, 13822, 7019, 14011])).
% 50.14/32.76 tff(14072,plain,
% 50.14/32.76 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p1, s5, c_owned) | (~node64(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p1, s5, c_owned) | (~node64(c_p1, s5)))),
% 50.14/32.76 inference(rewrite,[status(thm)],[])).
% 50.14/32.76 tff(14073,plain,
% 50.14/32.76 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p1, s5, c_owned) | (~node64(c_p1, s5)))),
% 50.14/32.76 inference(quant_inst,[status(thm)],[])).
% 50.14/32.76 tff(14074,plain,
% 50.14/32.76 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p1, s5, c_owned) | (~node64(c_p1, s5))),
% 50.14/32.76 inference(modus_ponens,[status(thm)],[14073, 14072])).
% 50.14/32.76 tff(14075,plain,
% 50.14/32.76 ($false),
% 50.14/32.76 inference(unit_resolution,[status(thm)],[14074, 4082, 14071, 14010])).
% 50.14/32.76 tff(14076,plain,(m_processor_v_state(c_p1, s6, c_invalid) | (~m_processor_v_state(c_p1, s5, c_owned)) | node62(c_p1, s5) | node63(c_p1, s5) | m_processor_v_cmd(c_p1, s5, c_idle) | m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_shared) | (~node10(s5)) | (~node34(c_p1, s5, s6)) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_CMD(c_p1, s5, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.14/32.76 tff(14077,plain,
% 50.14/32.76 (m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_shared)),
% 50.14/32.76 inference(unit_resolution,[status(thm)],[14076, 143, 7019, 650, 13980, 13979, 13978, 406, 424, 13853])).
% 50.14/32.76 tff(14078,assumption,(m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.14/32.76 tff(14079,plain,
% 50.14/32.76 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_shared)) | m_main_v_CMD(s5, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_shared)) | m_main_v_CMD(s5, c_write_h_resp_h_shared))),
% 50.14/32.76 inference(rewrite,[status(thm)],[])).
% 50.14/32.76 tff(14080,plain,
% 50.14/32.76 ((m_main_v_CMD(s5, c_write_h_resp_h_shared) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_shared))) <=> ((~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_shared)) | m_main_v_CMD(s5, c_write_h_resp_h_shared))),
% 50.14/32.76 inference(rewrite,[status(thm)],[])).
% 50.14/32.76 tff(14081,plain,
% 50.14/32.76 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_shared) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_shared)) | m_main_v_CMD(s5, c_write_h_resp_h_shared)))),
% 50.14/32.76 inference(monotonicity,[status(thm)],[14080])).
% 50.14/32.76 tff(14082,plain,
% 50.14/32.76 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_shared) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_shared)) | m_main_v_CMD(s5, c_write_h_resp_h_shared))),
% 50.14/32.76 inference(transitivity,[status(thm)],[14081, 14079])).
% 50.14/32.76 tff(14083,plain,
% 50.14/32.76 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_shared) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_shared)))),
% 50.14/32.76 inference(quant_inst,[status(thm)],[])).
% 50.14/32.76 tff(14084,plain,
% 50.14/32.76 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_shared)) | m_main_v_CMD(s5, c_write_h_resp_h_shared)),
% 50.14/32.76 inference(modus_ponens,[status(thm)],[14083, 14082])).
% 50.14/32.76 tff(14085,plain,
% 50.14/32.76 ($false),
% 50.14/32.76 inference(unit_resolution,[status(thm)],[14084, 3481, 7181, 13978, 14078])).
% 50.14/32.76 tff(14086,plain,((~m_processor_v_cmd(c_p1, s5, c_write_h_resp_h_shared)) | m_main_v_CMD(s5, c_write_h_resp_h_shared) | (~node10(s5))), inference(lemma,lemma(discharge,[]))).
% 50.14/32.76 tff(14087,plain,
% 50.14/32.76 (m_main_v_CMD(s5, c_write_h_resp_h_shared)),
% 50.14/32.76 inference(unit_resolution,[status(thm)],[14086, 14077, 13978])).
% 50.14/32.76 tff(14088,assumption,(m_main_v_CMD(s5, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.14/32.76 tff(14089,assumption,(~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.14/32.76 tff(14090,plain,
% 50.14/32.76 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node3(s5)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node3(s5)))),
% 50.14/32.76 inference(rewrite,[status(thm)],[])).
% 50.14/32.76 tff(14091,plain,
% 50.14/32.76 (((~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node3(s5)) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node3(s5)))),
% 50.14/32.76 inference(rewrite,[status(thm)],[])).
% 50.14/32.76 tff(14092,plain,
% 50.14/32.76 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node3(s5)) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node3(s5))))),
% 50.14/32.76 inference(monotonicity,[status(thm)],[14091])).
% 50.14/32.76 tff(14093,plain,
% 50.14/32.76 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node3(s5)) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node3(s5)))),
% 50.14/32.76 inference(transitivity,[status(thm)],[14092, 14090])).
% 50.14/32.76 tff(14094,plain,
% 50.14/32.76 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node3(s5)) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared))),
% 50.14/32.76 inference(quant_inst,[status(thm)],[])).
% 50.14/32.76 tff(14095,plain,
% 50.14/32.76 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node3(s5))),
% 50.14/32.76 inference(modus_ponens,[status(thm)],[14094, 14093])).
% 50.14/32.76 tff(14096,plain,
% 50.14/32.76 ($false),
% 50.14/32.76 inference(unit_resolution,[status(thm)],[14095, 1945, 13607, 14089, 14088])).
% 50.14/32.76 tff(14097,plain,((~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.14/32.76 tff(14098,plain,
% 50.14/32.76 (m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared)),
% 50.14/32.76 inference(unit_resolution,[status(thm)],[14097, 14087])).
% 50.14/32.76 tff(14099,plain,
% 50.14/32.76 (m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s5, c_write_h_invalid) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_CMD(c_p1, s5, c_write_h_shared) | m_processor_v_state(c_p1, s6, c_shared) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared))),
% 50.14/32.76 inference(unit_resolution,[status(thm)],[498, 492, 406, 424])).
% 50.14/32.76 tff(14100,plain,
% 50.14/32.76 ($false),
% 50.14/32.76 inference(unit_resolution,[status(thm)],[14099, 14098, 13975, 1, 13973, 650, 13977])).
% 50.14/32.76 tff(14101,plain,(m_processor_v_state(c_p1, s6, c_invalid) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | (~node34(c_p1, s5, s6)) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | (~node10(s5)) | m_processor_v_cmd(c_p1, s5, c_idle) | node62(c_p1, s5) | node63(c_p1, s5) | (~m_processor_v_state(c_p1, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.14/32.76 tff(14102,plain,
% 50.14/32.76 (node63(c_p1, s5)),
% 50.14/32.76 inference(unit_resolution,[status(thm)],[14101, 13971, 1, 143, 13851, 13970, 7019, 13946, 13863, 13852])).
% 50.14/32.76 tff(14103,plain,
% 50.14/32.76 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned))),
% 50.14/32.76 inference(rewrite,[status(thm)],[])).
% 50.14/32.76 tff(14104,plain,
% 50.14/32.76 ((m_main_v_CMD(s5, c_read_h_owned) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_owned))) <=> ((~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned))),
% 50.14/32.76 inference(rewrite,[status(thm)],[])).
% 50.14/32.76 tff(14105,plain,
% 50.14/32.76 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s5, c_read_h_owned) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned)))),
% 50.14/32.76 inference(monotonicity,[status(thm)],[14104])).
% 50.14/32.76 tff(14106,plain,
% 50.14/32.76 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s5, c_read_h_owned) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned))),
% 50.14/32.76 inference(transitivity,[status(thm)],[14105, 14103])).
% 50.14/32.76 tff(14107,plain,
% 50.14/32.76 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s5, c_read_h_owned) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_owned)))),
% 50.14/32.76 inference(quant_inst,[status(thm)],[])).
% 50.14/32.76 tff(14108,plain,
% 50.14/32.76 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned)),
% 50.14/32.76 inference(modus_ponens,[status(thm)],[14107, 14106])).
% 50.14/32.76 tff(14109,plain,
% 50.14/32.76 ((~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_owned))),
% 50.14/32.76 inference(unit_resolution,[status(thm)],[14108, 3481, 13850])).
% 50.14/32.76 tff(14110,plain,
% 50.14/32.76 (~m_processor_v_cmd(c_p1, s5, c_read_h_owned)),
% 50.14/32.76 inference(unit_resolution,[status(thm)],[14109, 13970])).
% 50.14/32.76 tff(14111,plain,
% 50.14/32.76 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | ((~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | (~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_cmd(c_p1, s5, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | (~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_cmd(c_p1, s5, c_read_h_owned))),
% 50.14/32.76 inference(rewrite,[status(thm)],[])).
% 50.14/32.76 tff(14112,plain,
% 50.14/32.76 ((m_processor_v_cmd(c_p1, s5, c_read_h_owned) | (~m_processor_v_state(c_p1, s5, c_shared)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5)) <=> ((~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | (~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_cmd(c_p1, s5, c_read_h_owned))),
% 50.14/32.76 inference(rewrite,[status(thm)],[])).
% 50.14/32.76 tff(14113,plain,
% 50.14/32.76 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p1, s5, c_read_h_owned) | (~m_processor_v_state(c_p1, s5, c_shared)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | ((~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | (~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_cmd(c_p1, s5, c_read_h_owned)))),
% 50.14/32.76 inference(monotonicity,[status(thm)],[14112])).
% 50.14/32.76 tff(14114,plain,
% 50.14/32.76 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p1, s5, c_read_h_owned) | (~m_processor_v_state(c_p1, s5, c_shared)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | (~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_cmd(c_p1, s5, c_read_h_owned))),
% 50.14/32.76 inference(transitivity,[status(thm)],[14113, 14111])).
% 50.14/32.76 tff(14115,plain,
% 50.14/32.76 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p1, s5, c_read_h_owned) | (~m_processor_v_state(c_p1, s5, c_shared)) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5))),
% 50.14/32.76 inference(quant_inst,[status(thm)],[])).
% 50.14/32.76 tff(14116,plain,
% 50.14/32.76 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p1, s5)) | node62(c_p1, s5) | (~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_cmd(c_p1, s5, c_read_h_owned)),
% 50.14/32.76 inference(modus_ponens,[status(thm)],[14115, 14114])).
% 50.14/32.76 tff(14117,plain,
% 50.14/32.76 (node62(c_p1, s5) | (~m_processor_v_state(c_p1, s5, c_shared)) | m_processor_v_cmd(c_p1, s5, c_read_h_owned)),
% 50.14/32.76 inference(unit_resolution,[status(thm)],[14116, 1650, 13822])).
% 50.14/32.76 tff(14118,plain,
% 50.14/32.76 (~m_processor_v_state(c_p1, s5, c_shared)),
% 50.14/32.76 inference(unit_resolution,[status(thm)],[14117, 13863, 14110])).
% 50.14/32.76 tff(14119,plain,
% 50.14/32.76 ($false),
% 50.14/32.76 inference(unit_resolution,[status(thm)],[14039, 1809, 14118, 14102])).
% 50.14/32.76 tff(14120,plain,(m_processor_v_cmd(c_p1, s5, c_idle) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s6, c_invalid) | (~m_memory_v_cmd(c_m, s5, c_idle)) | m_processor_v_state(c_p0, s6, c_invalid) | m_processor_v_abort(c_p0, s5) | m_processor_v_state(c_p0, s6, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.14/32.76 tff(14121,plain,
% 50.14/32.76 (m_processor_v_state(c_p0, s6, c_invalid)),
% 50.14/32.76 inference(unit_resolution,[status(thm)],[14120, 13821, 5, 13581, 13616, 13770, 13603])).
% 50.14/32.76 tff(14122,plain,
% 50.14/32.76 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p1, s6) | (~node65(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p1, s6) | (~node65(c_p1, s6)))),
% 50.14/32.76 inference(rewrite,[status(thm)],[])).
% 50.14/32.76 tff(14123,plain,
% 50.14/32.76 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p1, s6) | (~node65(c_p1, s6)))),
% 50.14/32.76 inference(quant_inst,[status(thm)],[])).
% 50.14/32.76 tff(14124,plain,
% 50.14/32.76 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p1, s6) | (~node65(c_p1, s6))),
% 50.14/32.76 inference(modus_ponens,[status(thm)],[14123, 14122])).
% 50.14/32.76 tff(14125,plain,
% 50.14/32.76 (~node65(c_p1, s6)),
% 50.14/32.76 inference(unit_resolution,[status(thm)],[14124, 1457, 13405])).
% 50.14/32.76 tff(14126,plain,
% 50.14/32.76 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p1, s6) | (~node63(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p1, s6) | (~node63(c_p1, s6)))),
% 50.14/32.76 inference(rewrite,[status(thm)],[])).
% 50.14/32.76 tff(14127,plain,
% 50.14/32.76 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p1, s6) | (~node63(c_p1, s6)))),
% 50.14/32.76 inference(quant_inst,[status(thm)],[])).
% 50.14/32.76 tff(14128,plain,
% 50.14/32.76 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p1, s6) | (~node63(c_p1, s6))),
% 50.14/32.76 inference(modus_ponens,[status(thm)],[14127, 14126])).
% 50.14/32.76 tff(14129,plain,
% 50.14/32.76 (~node63(c_p1, s6)),
% 50.14/32.76 inference(unit_resolution,[status(thm)],[14128, 1469, 13405])).
% 50.14/32.76 tff(14130,assumption,(node64(c_p1, s6)), introduced(assumption)).
% 50.14/32.76 tff(14131,plain,
% 50.14/32.76 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p1, s6) | (~node64(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p1, s6) | (~node64(c_p1, s6)))),
% 50.14/32.76 inference(rewrite,[status(thm)],[])).
% 50.14/32.76 tff(14132,plain,
% 50.14/32.76 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p1, s6) | (~node64(c_p1, s6)))),
% 50.14/32.76 inference(quant_inst,[status(thm)],[])).
% 50.14/32.76 tff(14133,plain,
% 50.14/32.76 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p1, s6) | (~node64(c_p1, s6))),
% 50.14/32.76 inference(modus_ponens,[status(thm)],[14132, 14131])).
% 50.14/32.77 tff(14134,plain,
% 50.14/32.77 ($false),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14133, 1482, 13405, 14130])).
% 50.14/32.77 tff(14135,plain,((~node64(c_p1, s6)) | m_processor_v_master(c_p1, s6)), inference(lemma,lemma(discharge,[]))).
% 50.14/32.77 tff(14136,plain,
% 50.14/32.77 (~node64(c_p1, s6)),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14135, 13405])).
% 50.14/32.77 tff(14137,plain,
% 50.14/32.77 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p1, s6) | (~node66(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p1, s6) | (~node66(c_p1, s6)))),
% 50.14/32.77 inference(rewrite,[status(thm)],[])).
% 50.14/32.77 tff(14138,plain,
% 50.14/32.77 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p1, s6) | (~node66(c_p1, s6)))),
% 50.14/32.77 inference(quant_inst,[status(thm)],[])).
% 50.14/32.77 tff(14139,plain,
% 50.14/32.77 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p1, s6) | (~node66(c_p1, s6))),
% 50.14/32.77 inference(modus_ponens,[status(thm)],[14138, 14137])).
% 50.14/32.77 tff(14140,plain,
% 50.14/32.77 (~node66(c_p1, s6)),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14139, 1446, 13405])).
% 50.14/32.77 tff(14141,assumption,(node62(c_p1, s6)), introduced(assumption)).
% 50.14/32.77 tff(14142,plain,
% 50.14/32.77 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p1, s6) | (~node62(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p1, s6) | (~node62(c_p1, s6)))),
% 50.14/32.77 inference(rewrite,[status(thm)],[])).
% 50.14/32.77 tff(14143,plain,
% 50.14/32.77 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p1, s6) | (~node62(c_p1, s6)))),
% 50.14/32.77 inference(quant_inst,[status(thm)],[])).
% 50.14/32.77 tff(14144,plain,
% 50.14/32.77 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p1, s6) | (~node62(c_p1, s6))),
% 50.14/32.77 inference(modus_ponens,[status(thm)],[14143, 14142])).
% 50.14/32.77 tff(14145,plain,
% 50.14/32.77 ($false),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14144, 1493, 13405, 14141])).
% 50.14/32.77 tff(14146,plain,((~node62(c_p1, s6)) | m_processor_v_master(c_p1, s6)), inference(lemma,lemma(discharge,[]))).
% 50.14/32.77 tff(14147,plain,
% 50.14/32.77 (~node62(c_p1, s6)),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14146, 13405])).
% 50.14/32.77 tff(14148,assumption,(~m_processor_v_cmd(c_p1, s6, c_idle)), introduced(assumption)).
% 50.14/32.77 tff(14149,plain,
% 50.14/32.77 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6) | node65(c_p1, s6) | node66(c_p1, s6) | m_processor_v_cmd(c_p1, s6, c_idle))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6) | node65(c_p1, s6) | node66(c_p1, s6) | m_processor_v_cmd(c_p1, s6, c_idle))),
% 50.14/32.77 inference(rewrite,[status(thm)],[])).
% 50.14/32.77 tff(14150,plain,
% 50.14/32.77 ((m_processor_v_cmd(c_p1, s6, c_idle) | node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6) | node65(c_p1, s6) | node66(c_p1, s6)) <=> (node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6) | node65(c_p1, s6) | node66(c_p1, s6) | m_processor_v_cmd(c_p1, s6, c_idle))),
% 50.14/32.77 inference(rewrite,[status(thm)],[])).
% 50.14/32.77 tff(14151,plain,
% 50.14/32.77 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s6, c_idle) | node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6) | node65(c_p1, s6) | node66(c_p1, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6) | node65(c_p1, s6) | node66(c_p1, s6) | m_processor_v_cmd(c_p1, s6, c_idle)))),
% 50.14/32.77 inference(monotonicity,[status(thm)],[14150])).
% 50.14/32.77 tff(14152,plain,
% 50.14/32.77 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s6, c_idle) | node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6) | node65(c_p1, s6) | node66(c_p1, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6) | node65(c_p1, s6) | node66(c_p1, s6) | m_processor_v_cmd(c_p1, s6, c_idle))),
% 50.14/32.77 inference(transitivity,[status(thm)],[14151, 14149])).
% 50.14/32.77 tff(14153,plain,
% 50.14/32.77 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s6, c_idle) | node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6) | node65(c_p1, s6) | node66(c_p1, s6))),
% 50.14/32.77 inference(quant_inst,[status(thm)],[])).
% 50.14/32.77 tff(14154,plain,
% 50.14/32.77 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6) | node65(c_p1, s6) | node66(c_p1, s6) | m_processor_v_cmd(c_p1, s6, c_idle)),
% 50.14/32.77 inference(modus_ponens,[status(thm)],[14153, 14152])).
% 50.14/32.77 tff(14155,plain,
% 50.14/32.77 ($false),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14154, 1508, 14148, 14147, 14140, 14136, 14129, 14125])).
% 50.14/32.77 tff(14156,plain,(m_processor_v_cmd(c_p1, s6, c_idle) | m_processor_v_master(c_p1, s6)), inference(lemma,lemma(discharge,[]))).
% 50.14/32.77 tff(14157,plain,
% 50.14/32.77 (m_processor_v_cmd(c_p1, s6, c_idle)),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14156, 13405])).
% 50.14/32.77 tff(14158,plain,
% 50.14/32.77 (node34(c_p1, s5, s6)),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[617, 13581, 53, 13616])).
% 50.14/32.77 tff(14159,plain,
% 50.14/32.77 (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[422, 416, 13581, 14158])).
% 50.14/32.77 tff(14160,plain,
% 50.14/32.77 (~node47(c_p1, s5)),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[662, 14159])).
% 50.14/32.77 tff(14161,plain,
% 50.14/32.77 (m_processor_v_waiting(c_p1, s6)),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[647, 14160, 13588, 13772, 13617])).
% 50.14/32.77 tff(14162,plain,
% 50.14/32.77 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p1, s6)) | m_processor_v_master(c_p1, s6) | m_processor_v_reply_h_waiting(c_p1, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s6)) | m_processor_v_master(c_p1, s6) | m_processor_v_reply_h_waiting(c_p1, s6))),
% 50.14/32.77 inference(rewrite,[status(thm)],[])).
% 50.14/32.77 tff(14163,plain,
% 50.14/32.77 ((m_processor_v_master(c_p1, s6) | (~m_processor_v_waiting(c_p1, s6)) | m_processor_v_reply_h_waiting(c_p1, s6)) <=> ((~m_processor_v_waiting(c_p1, s6)) | m_processor_v_master(c_p1, s6) | m_processor_v_reply_h_waiting(c_p1, s6))),
% 50.14/32.77 inference(rewrite,[status(thm)],[])).
% 50.14/32.77 tff(14164,plain,
% 50.14/32.77 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s6) | (~m_processor_v_waiting(c_p1, s6)) | m_processor_v_reply_h_waiting(c_p1, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p1, s6)) | m_processor_v_master(c_p1, s6) | m_processor_v_reply_h_waiting(c_p1, s6)))),
% 50.14/32.77 inference(monotonicity,[status(thm)],[14163])).
% 50.14/32.77 tff(14165,plain,
% 50.14/32.77 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s6) | (~m_processor_v_waiting(c_p1, s6)) | m_processor_v_reply_h_waiting(c_p1, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s6)) | m_processor_v_master(c_p1, s6) | m_processor_v_reply_h_waiting(c_p1, s6))),
% 50.14/32.77 inference(transitivity,[status(thm)],[14164, 14162])).
% 50.14/32.77 tff(14166,plain,
% 50.14/32.77 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s6) | (~m_processor_v_waiting(c_p1, s6)) | m_processor_v_reply_h_waiting(c_p1, s6))),
% 50.14/32.77 inference(quant_inst,[status(thm)],[])).
% 50.14/32.77 tff(14167,plain,
% 50.14/32.77 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s6)) | m_processor_v_master(c_p1, s6) | m_processor_v_reply_h_waiting(c_p1, s6)),
% 50.14/32.77 inference(modus_ponens,[status(thm)],[14166, 14165])).
% 50.14/32.77 tff(14168,plain,
% 50.14/32.77 ((~m_processor_v_waiting(c_p1, s6)) | m_processor_v_reply_h_waiting(c_p1, s6)),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14167, 2296, 13405])).
% 50.14/32.77 tff(14169,plain,
% 50.14/32.77 (m_processor_v_reply_h_waiting(c_p1, s6)),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14168, 14161])).
% 50.14/32.77 tff(14170,assumption,(m_processor_v_reply_h_waiting(c_p1, s6)), introduced(assumption)).
% 50.14/32.77 tff(14171,assumption,(node6(s6)), introduced(assumption)).
% 50.14/32.77 tff(14172,plain,
% 50.14/32.77 (((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | ((~node6(s6)) | (~m_processor_v_reply_h_waiting(c_p1, s6)))) <=> ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | (~node6(s6)) | (~m_processor_v_reply_h_waiting(c_p1, s6)))),
% 50.14/32.77 inference(rewrite,[status(thm)],[])).
% 50.14/32.77 tff(14173,plain,
% 50.14/32.77 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | ((~node6(s6)) | (~m_processor_v_reply_h_waiting(c_p1, s6)))),
% 50.14/32.77 inference(quant_inst,[status(thm)],[])).
% 50.14/32.77 tff(14174,plain,
% 50.14/32.77 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | (~node6(s6)) | (~m_processor_v_reply_h_waiting(c_p1, s6))),
% 50.14/32.77 inference(modus_ponens,[status(thm)],[14173, 14172])).
% 50.14/32.77 tff(14175,plain,
% 50.14/32.77 ($false),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14174, 8551, 14171, 14170])).
% 50.14/32.77 tff(14176,plain,((~m_processor_v_reply_h_waiting(c_p1, s6)) | (~node6(s6))), inference(lemma,lemma(discharge,[]))).
% 50.14/32.77 tff(14177,plain,
% 50.14/32.77 (~node6(s6)),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14176, 14169])).
% 50.14/32.77 tff(14178,assumption,(~node6(s6)), introduced(assumption)).
% 50.14/32.77 tff(14179,assumption,(~m_main_v_REPLY_h_WAITING(s6)), introduced(assumption)).
% 50.14/32.77 tff(14180,plain,
% 50.14/32.77 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | (m_main_v_REPLY_h_WAITING(s6) | node6(s6))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | m_main_v_REPLY_h_WAITING(s6) | node6(s6))),
% 50.14/32.77 inference(rewrite,[status(thm)],[])).
% 50.14/32.77 tff(14181,plain,
% 50.14/32.77 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | (m_main_v_REPLY_h_WAITING(s6) | node6(s6))),
% 50.14/32.77 inference(quant_inst,[status(thm)],[])).
% 50.14/32.77 tff(14182,plain,
% 50.14/32.77 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | m_main_v_REPLY_h_WAITING(s6) | node6(s6)),
% 50.14/32.77 inference(modus_ponens,[status(thm)],[14181, 14180])).
% 50.14/32.77 tff(14183,plain,
% 50.14/32.77 ($false),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14182, 760, 14179, 14178])).
% 50.14/32.77 tff(14184,plain,(node6(s6) | m_main_v_REPLY_h_WAITING(s6)), inference(lemma,lemma(discharge,[]))).
% 50.14/32.77 tff(14185,plain,
% 50.14/32.77 (m_main_v_REPLY_h_WAITING(s6)),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14184, 14177])).
% 50.14/32.77 tff(14186,assumption,(m_main_v_REPLY_h_WAITING(s6)), introduced(assumption)).
% 50.14/32.77 tff(14187,assumption,(~m_processor_v_REPLY_h_WAITING(c_p0, s6)), introduced(assumption)).
% 50.14/32.77 tff(14188,plain,
% 50.14/32.77 (((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | ((~m_main_v_REPLY_h_WAITING(s6)) | m_processor_v_REPLY_h_WAITING(c_p0, s6))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | (~m_main_v_REPLY_h_WAITING(s6)) | m_processor_v_REPLY_h_WAITING(c_p0, s6))),
% 50.14/32.77 inference(rewrite,[status(thm)],[])).
% 50.14/32.77 tff(14189,plain,
% 50.14/32.77 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | ((~m_main_v_REPLY_h_WAITING(s6)) | m_processor_v_REPLY_h_WAITING(c_p0, s6))),
% 50.14/32.77 inference(quant_inst,[status(thm)],[])).
% 50.14/32.77 tff(14190,plain,
% 50.14/32.77 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | (~m_main_v_REPLY_h_WAITING(s6)) | m_processor_v_REPLY_h_WAITING(c_p0, s6)),
% 50.14/32.77 inference(modus_ponens,[status(thm)],[14189, 14188])).
% 50.14/32.77 tff(14191,plain,
% 50.14/32.77 ($false),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14190, 7774, 14187, 14186])).
% 50.14/32.77 tff(14192,plain,((~m_main_v_REPLY_h_WAITING(s6)) | m_processor_v_REPLY_h_WAITING(c_p0, s6)), inference(lemma,lemma(discharge,[]))).
% 50.14/32.77 tff(14193,plain,
% 50.14/32.77 (m_processor_v_REPLY_h_WAITING(c_p0, s6)),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14192, 14185])).
% 50.14/32.77 tff(14194,assumption,(m_processor_v_REPLY_h_WAITING(c_p0, s6)), introduced(assumption)).
% 50.14/32.77 tff(14195,plain,
% 50.14/32.77 ($false),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[2432, 380, 2392, 2358, 2327])).
% 50.14/32.77 tff(14196,plain,((~node32(c_p0, s6, s7)) | (~m_processor_v_state(c_p0, s6, c_invalid)) | m_processor_v_state(c_p0, s7, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.14/32.77 tff(14197,plain,
% 50.14/32.77 (~node32(c_p0, s6, s7)),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14196, 2358, 2392])).
% 50.14/32.77 tff(14198,plain,
% 50.14/32.77 (~m_processor_v_abort(c_p0, s6)),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[2356, 14197])).
% 50.14/32.77 tff(14199,assumption,(~node60(c_p0, s6)), introduced(assumption)).
% 50.14/32.77 tff(14200,assumption,(~m_processor_v_abort(c_p0, s6)), introduced(assumption)).
% 50.14/32.77 tff(14201,plain,
% 50.14/32.77 (((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p0, s6) | node60(c_p0, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p0, s6) | node60(c_p0, s6))),
% 50.14/32.77 inference(rewrite,[status(thm)],[])).
% 50.14/32.77 tff(14202,plain,
% 50.14/32.77 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p0, s6) | node60(c_p0, s6))),
% 50.14/32.77 inference(quant_inst,[status(thm)],[])).
% 50.14/32.77 tff(14203,plain,
% 50.14/32.77 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p0, s6) | node60(c_p0, s6)),
% 50.14/32.77 inference(modus_ponens,[status(thm)],[14202, 14201])).
% 50.14/32.77 tff(14204,plain,
% 50.14/32.77 ($false),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14203, 693, 14200, 14199])).
% 50.14/32.77 tff(14205,plain,(m_processor_v_abort(c_p0, s6) | node60(c_p0, s6)), inference(lemma,lemma(discharge,[]))).
% 50.14/32.77 tff(14206,plain,
% 50.14/32.77 (node60(c_p0, s6)),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14205, 14198])).
% 50.14/32.77 tff(14207,assumption,(m_processor_v_cmd(c_p1, s6, c_idle)), introduced(assumption)).
% 50.14/32.77 tff(14208,assumption,(~m_main_v_CMD(s6, c_read_h_owned)), introduced(assumption)).
% 50.14/32.77 tff(14209,plain,
% 50.14/32.77 (m_processor_v_master(c_p0, s6)),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[2434, 2358, 2392])).
% 50.14/32.77 tff(14210,assumption,(~node8(s6)), introduced(assumption)).
% 50.14/32.77 tff(14211,assumption,(node16(s6)), introduced(assumption)).
% 50.14/32.77 tff(14212,plain,
% 50.14/32.77 (((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | ((~node16(s6)) | (~m_processor_v_master(c_p0, s6)))) <=> ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | (~node16(s6)) | (~m_processor_v_master(c_p0, s6)))),
% 50.14/32.77 inference(rewrite,[status(thm)],[])).
% 50.14/32.77 tff(14213,plain,
% 50.14/32.77 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | ((~node16(s6)) | (~m_processor_v_master(c_p0, s6)))),
% 50.14/32.77 inference(quant_inst,[status(thm)],[])).
% 50.14/32.77 tff(14214,plain,
% 50.14/32.77 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | (~node16(s6)) | (~m_processor_v_master(c_p0, s6))),
% 50.14/32.77 inference(modus_ponens,[status(thm)],[14213, 14212])).
% 50.14/32.77 tff(14215,plain,
% 50.14/32.77 ($false),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14214, 1530, 2441, 14211])).
% 50.14/32.77 tff(14216,plain,((~m_processor_v_master(c_p0, s6)) | (~node16(s6))), inference(lemma,lemma(discharge,[]))).
% 50.14/32.77 tff(14217,plain,
% 50.14/32.77 (~node16(s6)),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14216, 2441])).
% 50.14/32.77 tff(14218,assumption,(~node16(s6)), introduced(assumption)).
% 50.14/32.77 tff(14219,assumption,(m_processor_v_master(c_p2, s6)), introduced(assumption)).
% 50.14/32.77 tff(14220,plain,
% 50.14/32.77 (((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | (node16(s6) | (~m_processor_v_master(c_p2, s6)))) <=> ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | node16(s6) | (~m_processor_v_master(c_p2, s6)))),
% 50.14/32.77 inference(rewrite,[status(thm)],[])).
% 50.14/32.77 tff(14221,plain,
% 50.14/32.77 ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | (node16(s6) | (~m_processor_v_master(c_p2, s6)))),
% 50.14/32.77 inference(quant_inst,[status(thm)],[])).
% 50.14/32.77 tff(14222,plain,
% 50.14/32.77 ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | node16(s6) | (~m_processor_v_master(c_p2, s6))),
% 50.14/32.77 inference(modus_ponens,[status(thm)],[14221, 14220])).
% 50.14/32.77 tff(14223,plain,
% 50.14/32.77 ($false),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14222, 1545, 14219, 14218])).
% 50.14/32.77 tff(14224,plain,(node16(s6) | (~m_processor_v_master(c_p2, s6))), inference(lemma,lemma(discharge,[]))).
% 50.14/32.77 tff(14225,plain,
% 50.14/32.77 (~m_processor_v_master(c_p2, s6)),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14224, 14217])).
% 50.14/32.77 tff(14226,assumption,(~m_processor_v_master(c_p2, s6)), introduced(assumption)).
% 50.14/32.77 tff(14227,assumption,(node62(c_p2, s6)), introduced(assumption)).
% 50.14/32.77 tff(14228,plain,
% 50.14/32.77 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p2, s6) | (~node62(c_p2, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p2, s6) | (~node62(c_p2, s6)))),
% 50.14/32.77 inference(rewrite,[status(thm)],[])).
% 50.14/32.77 tff(14229,plain,
% 50.14/32.77 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p2, s6) | (~node62(c_p2, s6)))),
% 50.14/32.77 inference(quant_inst,[status(thm)],[])).
% 50.14/32.77 tff(14230,plain,
% 50.14/32.77 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p2, s6) | (~node62(c_p2, s6))),
% 50.14/32.77 inference(modus_ponens,[status(thm)],[14229, 14228])).
% 50.14/32.77 tff(14231,plain,
% 50.14/32.77 ($false),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14230, 1493, 14227, 14226])).
% 50.14/32.77 tff(14232,plain,((~node62(c_p2, s6)) | m_processor_v_master(c_p2, s6)), inference(lemma,lemma(discharge,[]))).
% 50.14/32.77 tff(14233,plain,
% 50.14/32.77 (~node62(c_p2, s6)),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14232, 14225])).
% 50.14/32.77 tff(14234,assumption,(~m_processor_v_cmd(c_p2, s6, c_idle)), introduced(assumption)).
% 50.14/32.77 tff(14235,assumption,(~node62(c_p2, s6)), introduced(assumption)).
% 50.14/32.77 tff(14236,assumption,(~node63(c_p2, s6)), introduced(assumption)).
% 50.14/32.77 tff(14237,assumption,(~node64(c_p2, s6)), introduced(assumption)).
% 50.14/32.77 tff(14238,assumption,(node65(c_p2, s6)), introduced(assumption)).
% 50.14/32.77 tff(14239,plain,
% 50.14/32.77 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p2, s6) | (~node65(c_p2, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p2, s6) | (~node65(c_p2, s6)))),
% 50.14/32.77 inference(rewrite,[status(thm)],[])).
% 50.14/32.77 tff(14240,plain,
% 50.14/32.77 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p2, s6) | (~node65(c_p2, s6)))),
% 50.14/32.77 inference(quant_inst,[status(thm)],[])).
% 50.14/32.77 tff(14241,plain,
% 50.14/32.77 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p2, s6) | (~node65(c_p2, s6))),
% 50.14/32.77 inference(modus_ponens,[status(thm)],[14240, 14239])).
% 50.14/32.77 tff(14242,plain,
% 50.14/32.77 ($false),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14241, 1457, 14238, 14226])).
% 50.14/32.77 tff(14243,plain,((~node65(c_p2, s6)) | m_processor_v_master(c_p2, s6)), inference(lemma,lemma(discharge,[]))).
% 50.14/32.77 tff(14244,plain,
% 50.14/32.77 (~node65(c_p2, s6)),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14243, 14226])).
% 50.14/32.77 tff(14245,plain,
% 50.14/32.77 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s6, c_idle) | node66(c_p2, s6) | node65(c_p2, s6) | node64(c_p2, s6) | node63(c_p2, s6) | node62(c_p2, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | m_processor_v_cmd(c_p2, s6, c_idle) | node66(c_p2, s6) | node65(c_p2, s6) | node64(c_p2, s6) | node63(c_p2, s6) | node62(c_p2, s6))),
% 50.14/32.77 inference(rewrite,[status(thm)],[])).
% 50.14/32.77 tff(14246,plain,
% 50.14/32.77 ((m_processor_v_cmd(c_p2, s6, c_idle) | node62(c_p2, s6) | node63(c_p2, s6) | node64(c_p2, s6) | node65(c_p2, s6) | node66(c_p2, s6)) <=> (m_processor_v_cmd(c_p2, s6, c_idle) | node66(c_p2, s6) | node65(c_p2, s6) | node64(c_p2, s6) | node63(c_p2, s6) | node62(c_p2, s6))),
% 50.14/32.77 inference(rewrite,[status(thm)],[])).
% 50.14/32.77 tff(14247,plain,
% 50.14/32.77 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s6, c_idle) | node62(c_p2, s6) | node63(c_p2, s6) | node64(c_p2, s6) | node65(c_p2, s6) | node66(c_p2, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s6, c_idle) | node66(c_p2, s6) | node65(c_p2, s6) | node64(c_p2, s6) | node63(c_p2, s6) | node62(c_p2, s6)))),
% 50.14/32.77 inference(monotonicity,[status(thm)],[14246])).
% 50.14/32.77 tff(14248,plain,
% 50.14/32.77 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s6, c_idle) | node62(c_p2, s6) | node63(c_p2, s6) | node64(c_p2, s6) | node65(c_p2, s6) | node66(c_p2, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | m_processor_v_cmd(c_p2, s6, c_idle) | node66(c_p2, s6) | node65(c_p2, s6) | node64(c_p2, s6) | node63(c_p2, s6) | node62(c_p2, s6))),
% 50.14/32.77 inference(transitivity,[status(thm)],[14247, 14245])).
% 50.14/32.77 tff(14249,plain,
% 50.14/32.77 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s6, c_idle) | node62(c_p2, s6) | node63(c_p2, s6) | node64(c_p2, s6) | node65(c_p2, s6) | node66(c_p2, s6))),
% 50.14/32.77 inference(quant_inst,[status(thm)],[])).
% 50.14/32.77 tff(14250,plain,
% 50.14/32.77 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | m_processor_v_cmd(c_p2, s6, c_idle) | node66(c_p2, s6) | node65(c_p2, s6) | node64(c_p2, s6) | node63(c_p2, s6) | node62(c_p2, s6)),
% 50.14/32.77 inference(modus_ponens,[status(thm)],[14249, 14248])).
% 50.14/32.77 tff(14251,plain,
% 50.14/32.77 (node66(c_p2, s6) | node65(c_p2, s6) | node64(c_p2, s6) | node63(c_p2, s6) | node62(c_p2, s6)),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14250, 1508, 14234])).
% 50.14/32.77 tff(14252,plain,
% 50.14/32.77 (node66(c_p2, s6)),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14251, 14244, 14235, 14236, 14237])).
% 50.14/32.77 tff(14253,plain,
% 50.14/32.77 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p2, s6) | (~node66(c_p2, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p2, s6) | (~node66(c_p2, s6)))),
% 50.14/32.77 inference(rewrite,[status(thm)],[])).
% 50.14/32.77 tff(14254,plain,
% 50.14/32.77 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p2, s6) | (~node66(c_p2, s6)))),
% 50.14/32.77 inference(quant_inst,[status(thm)],[])).
% 50.14/32.77 tff(14255,plain,
% 50.14/32.77 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p2, s6) | (~node66(c_p2, s6))),
% 50.14/32.77 inference(modus_ponens,[status(thm)],[14254, 14253])).
% 50.14/32.77 tff(14256,plain,
% 50.14/32.77 ($false),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14255, 1446, 14252, 14226])).
% 50.14/32.77 tff(14257,plain,(m_processor_v_master(c_p2, s6) | node62(c_p2, s6) | node63(c_p2, s6) | node64(c_p2, s6) | m_processor_v_cmd(c_p2, s6, c_idle)), inference(lemma,lemma(discharge,[]))).
% 50.14/32.77 tff(14258,plain,
% 50.14/32.77 (node64(c_p2, s6)),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14257, 14226, 14236, 14235, 14234])).
% 50.14/32.77 tff(14259,plain,
% 50.14/32.77 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p2, s6) | (~node64(c_p2, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p2, s6) | (~node64(c_p2, s6)))),
% 50.14/32.77 inference(rewrite,[status(thm)],[])).
% 50.14/32.77 tff(14260,plain,
% 50.14/32.77 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p2, s6) | (~node64(c_p2, s6)))),
% 50.14/32.77 inference(quant_inst,[status(thm)],[])).
% 50.14/32.77 tff(14261,plain,
% 50.14/32.77 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p2, s6) | (~node64(c_p2, s6))),
% 50.14/32.77 inference(modus_ponens,[status(thm)],[14260, 14259])).
% 50.14/32.77 tff(14262,plain,
% 50.14/32.77 ($false),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14261, 1482, 14258, 14226])).
% 50.14/32.77 tff(14263,plain,(m_processor_v_master(c_p2, s6) | node63(c_p2, s6) | node62(c_p2, s6) | m_processor_v_cmd(c_p2, s6, c_idle)), inference(lemma,lemma(discharge,[]))).
% 50.14/32.77 tff(14264,plain,
% 50.14/32.77 (node63(c_p2, s6)),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14263, 14226, 14235, 14234])).
% 50.14/32.77 tff(14265,plain,
% 50.14/32.77 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p2, s6) | (~node63(c_p2, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p2, s6) | (~node63(c_p2, s6)))),
% 50.14/32.77 inference(rewrite,[status(thm)],[])).
% 50.14/32.77 tff(14266,plain,
% 50.14/32.77 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p2, s6) | (~node63(c_p2, s6)))),
% 50.14/32.77 inference(quant_inst,[status(thm)],[])).
% 50.14/32.77 tff(14267,plain,
% 50.14/32.77 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p2, s6) | (~node63(c_p2, s6))),
% 50.14/32.77 inference(modus_ponens,[status(thm)],[14266, 14265])).
% 50.14/32.77 tff(14268,plain,
% 50.14/32.77 ($false),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14267, 1469, 14264, 14226])).
% 50.14/32.77 tff(14269,plain,(m_processor_v_master(c_p2, s6) | node62(c_p2, s6) | m_processor_v_cmd(c_p2, s6, c_idle)), inference(lemma,lemma(discharge,[]))).
% 50.14/32.77 tff(14270,plain,
% 50.14/32.77 (m_processor_v_cmd(c_p2, s6, c_idle)),
% 50.14/32.77 inference(unit_resolution,[status(thm)],[14269, 14225, 14233])).
% 50.14/32.77 tff(14271,plain,
% 50.14/32.77 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | ((~m_processor_v_cmd(c_p2, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | node8(s6))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | node8(s6))),
% 50.14/32.77 inference(rewrite,[status(thm)],[])).
% 50.14/32.77 tff(14272,plain,
% 50.14/32.77 ((node8(s6) | (~m_memory_v_cmd(c_m, s6, c_idle)) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_idle))) <=> ((~m_processor_v_cmd(c_p2, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | node8(s6))),
% 50.14/32.77 inference(rewrite,[status(thm)],[])).
% 50.14/32.77 tff(14273,plain,
% 50.14/32.77 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s6) | (~m_memory_v_cmd(c_m, s6, c_idle)) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_idle)))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | ((~m_processor_v_cmd(c_p2, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | node8(s6)))),
% 50.14/32.77 inference(monotonicity,[status(thm)],[14272])).
% 50.14/32.77 tff(14274,plain,
% 50.14/32.77 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s6) | (~m_memory_v_cmd(c_m, s6, c_idle)) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_idle)))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | node8(s6))),
% 50.14/32.77 inference(transitivity,[status(thm)],[14273, 14271])).
% 50.14/32.77 tff(14275,plain,
% 50.14/32.77 ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s6) | (~m_memory_v_cmd(c_m, s6, c_idle)) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_idle)))),
% 50.14/32.78 inference(quant_inst,[status(thm)],[])).
% 50.14/32.78 tff(14276,plain,
% 50.14/32.78 ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | node8(s6)),
% 50.14/32.78 inference(modus_ponens,[status(thm)],[14275, 14274])).
% 50.14/32.78 tff(14277,plain,
% 50.14/32.78 ((~m_processor_v_cmd(c_p2, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | node8(s6)),
% 50.14/32.78 inference(unit_resolution,[status(thm)],[14276, 1593, 14207])).
% 50.14/32.78 tff(14278,plain,
% 50.14/32.78 (~m_memory_v_cmd(c_m, s6, c_idle)),
% 50.14/32.78 inference(unit_resolution,[status(thm)],[14277, 14270, 14210])).
% 50.14/32.78 tff(14279,assumption,(~node29(c_m, s6)), introduced(assumption)).
% 50.14/32.78 tff(14280,assumption,(~m_memory_v_cmd(c_m, s6, c_idle)), introduced(assumption)).
% 50.14/32.78 tff(14281,plain,
% 50.14/32.78 (((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | (node29(c_m, s6) | m_memory_v_cmd(c_m, s6, c_idle))) <=> ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | node29(c_m, s6) | m_memory_v_cmd(c_m, s6, c_idle))),
% 50.14/32.78 inference(rewrite,[status(thm)],[])).
% 50.14/32.78 tff(14282,plain,
% 50.14/32.78 ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | (node29(c_m, s6) | m_memory_v_cmd(c_m, s6, c_idle))),
% 50.14/32.78 inference(quant_inst,[status(thm)],[])).
% 50.14/32.78 tff(14283,plain,
% 50.14/32.78 ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | node29(c_m, s6) | m_memory_v_cmd(c_m, s6, c_idle)),
% 50.14/32.78 inference(modus_ponens,[status(thm)],[14282, 14281])).
% 50.14/32.78 tff(14284,plain,
% 50.14/32.78 ($false),
% 50.14/32.78 inference(unit_resolution,[status(thm)],[14283, 1320, 14280, 14279])).
% 50.14/32.78 tff(14285,plain,(m_memory_v_cmd(c_m, s6, c_idle) | node29(c_m, s6)), inference(lemma,lemma(discharge,[]))).
% 50.14/32.78 tff(14286,plain,
% 50.14/32.78 (node29(c_m, s6)),
% 50.14/32.78 inference(unit_resolution,[status(thm)],[14285, 14278])).
% 50.14/32.78 tff(14287,assumption,(node29(c_m, s6)), introduced(assumption)).
% 50.14/32.78 tff(14288,assumption,(~m_memory_v_master(c_m, s6)), introduced(assumption)).
% 50.14/32.78 tff(14289,plain,
% 50.14/32.78 (((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | (m_memory_v_master(c_m, s6) | (~node29(c_m, s6)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | m_memory_v_master(c_m, s6) | (~node29(c_m, s6)))),
% 50.14/32.78 inference(rewrite,[status(thm)],[])).
% 50.14/32.78 tff(14290,plain,
% 50.14/32.78 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | (m_memory_v_master(c_m, s6) | (~node29(c_m, s6)))),
% 50.14/32.78 inference(quant_inst,[status(thm)],[])).
% 50.14/32.78 tff(14291,plain,
% 50.14/32.78 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | m_memory_v_master(c_m, s6) | (~node29(c_m, s6))),
% 50.14/32.78 inference(modus_ponens,[status(thm)],[14290, 14289])).
% 50.14/32.78 tff(14292,plain,
% 50.14/32.78 ($false),
% 50.14/32.78 inference(unit_resolution,[status(thm)],[14291, 1305, 14288, 14287])).
% 50.14/32.78 tff(14293,plain,((~node29(c_m, s6)) | m_memory_v_master(c_m, s6)), inference(lemma,lemma(discharge,[]))).
% 50.14/32.78 tff(14294,plain,
% 50.14/32.78 (m_memory_v_master(c_m, s6)),
% 50.14/32.78 inference(unit_resolution,[status(thm)],[14293, 14286])).
% 50.14/32.78 tff(14295,assumption,(m_memory_v_master(c_m, s6)), introduced(assumption)).
% 50.14/32.78 tff(14296,assumption,(~node17(s6)), introduced(assumption)).
% 50.14/32.78 tff(14297,plain,
% 50.14/32.78 (((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | (node17(s6) | (~m_memory_v_master(c_m, s6)))) <=> ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | node17(s6) | (~m_memory_v_master(c_m, s6)))),
% 50.14/32.78 inference(rewrite,[status(thm)],[])).
% 50.14/32.78 tff(14298,plain,
% 50.14/32.78 ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | (node17(s6) | (~m_memory_v_master(c_m, s6)))),
% 50.14/32.78 inference(quant_inst,[status(thm)],[])).
% 50.14/32.78 tff(14299,plain,
% 50.14/32.78 ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | node17(s6) | (~m_memory_v_master(c_m, s6))),
% 50.14/32.78 inference(modus_ponens,[status(thm)],[14298, 14297])).
% 50.14/32.78 tff(14300,plain,
% 50.14/32.78 ($false),
% 50.14/32.78 inference(unit_resolution,[status(thm)],[14299, 1290, 14296, 14295])).
% 50.14/32.78 tff(14301,plain,((~m_memory_v_master(c_m, s6)) | node17(s6)), inference(lemma,lemma(discharge,[]))).
% 50.14/32.78 tff(14302,plain,
% 50.14/32.78 (node17(s6)),
% 50.14/32.78 inference(unit_resolution,[status(thm)],[14301, 14294])).
% 50.14/32.78 tff(14303,plain,
% 50.14/32.78 (((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p0, s6)) | (~node17(s6)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | (~m_processor_v_master(c_p0, s6)) | (~node17(s6)))),
% 50.14/32.78 inference(rewrite,[status(thm)],[])).
% 50.14/32.78 tff(14304,plain,
% 50.14/32.78 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p0, s6)) | (~node17(s6)))),
% 50.14/32.78 inference(quant_inst,[status(thm)],[])).
% 50.14/32.78 tff(14305,plain,
% 50.14/32.78 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | (~m_processor_v_master(c_p0, s6)) | (~node17(s6))),
% 50.14/32.78 inference(modus_ponens,[status(thm)],[14304, 14303])).
% 50.14/32.78 tff(14306,plain,
% 50.14/32.78 ($false),
% 50.14/32.78 inference(unit_resolution,[status(thm)],[14305, 1275, 2441, 14302])).
% 50.14/32.78 tff(14307,plain,((~m_processor_v_master(c_p0, s6)) | node8(s6) | (~m_processor_v_cmd(c_p1, s6, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.14/32.78 tff(14308,plain,
% 50.14/32.78 (node8(s6)),
% 50.14/32.78 inference(unit_resolution,[status(thm)],[14307, 2441, 14207])).
% 50.14/32.78 tff(14309,assumption,(m_processor_v_cmd(c_p0, s6, c_read_h_owned)), introduced(assumption)).
% 50.14/32.78 tff(14310,assumption,(node8(s6)), introduced(assumption)).
% 50.14/32.78 tff(14311,plain,
% 50.14/32.78 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s6, c_read_h_owned) | (~node8(s6)) | (~m_processor_v_cmd(c_p0, s6, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s6, c_read_h_owned) | (~node8(s6)) | (~m_processor_v_cmd(c_p0, s6, c_read_h_owned)))),
% 50.14/32.78 inference(rewrite,[status(thm)],[])).
% 50.14/32.78 tff(14312,plain,
% 50.14/32.78 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s6, c_read_h_owned) | (~node8(s6)) | (~m_processor_v_cmd(c_p0, s6, c_read_h_owned)))),
% 50.14/32.78 inference(quant_inst,[status(thm)],[])).
% 50.14/32.78 tff(14313,plain,
% 50.14/32.78 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s6, c_read_h_owned) | (~node8(s6)) | (~m_processor_v_cmd(c_p0, s6, c_read_h_owned))),
% 50.14/32.78 inference(modus_ponens,[status(thm)],[14312, 14311])).
% 50.14/32.78 tff(14314,plain,
% 50.14/32.78 ($false),
% 50.14/32.78 inference(unit_resolution,[status(thm)],[14313, 1669, 14310, 14208, 14309])).
% 50.14/32.78 tff(14315,plain,((~m_processor_v_cmd(c_p0, s6, c_read_h_owned)) | (~node8(s6)) | m_main_v_CMD(s6, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 50.14/32.78 tff(14316,plain,
% 50.14/32.78 (~m_processor_v_cmd(c_p0, s6, c_read_h_owned)),
% 50.14/32.78 inference(unit_resolution,[status(thm)],[14315, 14308, 14208])).
% 50.14/32.78 tff(14317,assumption,(~m_main_v_CMD(s6, c_read_h_shared)), introduced(assumption)).
% 50.14/32.78 tff(14318,plain,
% 50.14/32.78 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s6, c_read_h_shared) | (~node8(s6)) | (~m_processor_v_cmd(c_p0, s6, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s6, c_read_h_shared) | (~node8(s6)) | (~m_processor_v_cmd(c_p0, s6, c_read_h_shared)))),
% 50.14/32.78 inference(rewrite,[status(thm)],[])).
% 50.14/32.78 tff(14319,plain,
% 50.14/32.78 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s6, c_read_h_shared) | (~node8(s6)) | (~m_processor_v_cmd(c_p0, s6, c_read_h_shared)))),
% 50.14/32.78 inference(quant_inst,[status(thm)],[])).
% 50.14/32.78 tff(14320,plain,
% 50.14/32.78 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s6, c_read_h_shared) | (~node8(s6)) | (~m_processor_v_cmd(c_p0, s6, c_read_h_shared))),
% 50.14/32.78 inference(modus_ponens,[status(thm)],[14319, 14318])).
% 50.14/32.78 tff(14321,plain,
% 50.14/32.78 ((~node8(s6)) | (~m_processor_v_cmd(c_p0, s6, c_read_h_shared))),
% 50.14/32.78 inference(unit_resolution,[status(thm)],[14320, 1669, 14317])).
% 50.14/32.78 tff(14322,plain,
% 50.14/32.78 (~m_processor_v_cmd(c_p0, s6, c_read_h_shared)),
% 50.14/32.78 inference(unit_resolution,[status(thm)],[14321, 14308])).
% 50.14/32.78 tff(14323,assumption,(~m_processor_v_cmd(c_p0, s6, c_read_h_owned)), introduced(assumption)).
% 50.14/32.78 tff(14324,assumption,(~m_processor_v_cmd(c_p0, s6, c_read_h_shared)), introduced(assumption)).
% 50.14/32.78 tff(14325,plain,
% 50.14/32.78 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_state(c_p0, s6, c_invalid)) | (~m_processor_v_master(c_p0, s6)) | m_processor_v_cmd(c_p0, s6, c_read_h_owned) | m_processor_v_cmd(c_p0, s6, c_read_h_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_state(c_p0, s6, c_invalid)) | (~m_processor_v_master(c_p0, s6)) | m_processor_v_cmd(c_p0, s6, c_read_h_owned) | m_processor_v_cmd(c_p0, s6, c_read_h_shared))),
% 50.14/32.78 inference(rewrite,[status(thm)],[])).
% 50.14/32.78 tff(14326,plain,
% 50.14/32.78 ((m_processor_v_cmd(c_p0, s6, c_read_h_owned) | m_processor_v_cmd(c_p0, s6, c_read_h_shared) | (~m_processor_v_state(c_p0, s6, c_invalid)) | (~m_processor_v_master(c_p0, s6))) <=> ((~m_processor_v_state(c_p0, s6, c_invalid)) | (~m_processor_v_master(c_p0, s6)) | m_processor_v_cmd(c_p0, s6, c_read_h_owned) | m_processor_v_cmd(c_p0, s6, c_read_h_shared))),
% 50.14/32.78 inference(rewrite,[status(thm)],[])).
% 50.14/32.78 tff(14327,plain,
% 50.14/32.78 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s6, c_read_h_owned) | m_processor_v_cmd(c_p0, s6, c_read_h_shared) | (~m_processor_v_state(c_p0, s6, c_invalid)) | (~m_processor_v_master(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_state(c_p0, s6, c_invalid)) | (~m_processor_v_master(c_p0, s6)) | m_processor_v_cmd(c_p0, s6, c_read_h_owned) | m_processor_v_cmd(c_p0, s6, c_read_h_shared)))),
% 50.14/32.78 inference(monotonicity,[status(thm)],[14326])).
% 50.14/32.78 tff(14328,plain,
% 50.14/32.78 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s6, c_read_h_owned) | m_processor_v_cmd(c_p0, s6, c_read_h_shared) | (~m_processor_v_state(c_p0, s6, c_invalid)) | (~m_processor_v_master(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_state(c_p0, s6, c_invalid)) | (~m_processor_v_master(c_p0, s6)) | m_processor_v_cmd(c_p0, s6, c_read_h_owned) | m_processor_v_cmd(c_p0, s6, c_read_h_shared))),
% 50.14/32.78 inference(transitivity,[status(thm)],[14327, 14325])).
% 50.14/32.78 tff(14329,plain,
% 50.14/32.78 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s6, c_read_h_owned) | m_processor_v_cmd(c_p0, s6, c_read_h_shared) | (~m_processor_v_state(c_p0, s6, c_invalid)) | (~m_processor_v_master(c_p0, s6)))),
% 50.14/32.78 inference(quant_inst,[status(thm)],[])).
% 50.14/32.78 tff(14330,plain,
% 50.14/32.78 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_state(c_p0, s6, c_invalid)) | (~m_processor_v_master(c_p0, s6)) | m_processor_v_cmd(c_p0, s6, c_read_h_owned) | m_processor_v_cmd(c_p0, s6, c_read_h_shared)),
% 50.14/32.78 inference(modus_ponens,[status(thm)],[14329, 14328])).
% 50.14/32.78 tff(14331,plain,
% 50.14/32.78 ((~m_processor_v_state(c_p0, s6, c_invalid)) | m_processor_v_cmd(c_p0, s6, c_read_h_owned) | m_processor_v_cmd(c_p0, s6, c_read_h_shared)),
% 50.17/32.78 inference(unit_resolution,[status(thm)],[14330, 1835, 2441])).
% 50.17/32.78 tff(14332,plain,
% 50.17/32.78 (~m_processor_v_state(c_p0, s6, c_invalid)),
% 50.17/32.78 inference(unit_resolution,[status(thm)],[14331, 14323, 14324])).
% 50.17/32.78 tff(14333,plain,
% 50.17/32.78 (m_processor_v_state(c_p0, s6, c_shared)),
% 50.17/32.78 inference(unit_resolution,[status(thm)],[819, 14332, 5])).
% 50.17/32.78 tff(14334,plain,
% 50.17/32.78 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (node62(c_p0, s6) | (~m_processor_v_master(c_p0, s6)) | (~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_cmd(c_p0, s6, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | node62(c_p0, s6) | (~m_processor_v_master(c_p0, s6)) | (~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_cmd(c_p0, s6, c_read_h_owned))),
% 50.17/32.78 inference(rewrite,[status(thm)],[])).
% 50.17/32.78 tff(14335,plain,
% 50.17/32.78 ((m_processor_v_cmd(c_p0, s6, c_read_h_owned) | (~m_processor_v_state(c_p0, s6, c_shared)) | (~m_processor_v_master(c_p0, s6)) | node62(c_p0, s6)) <=> (node62(c_p0, s6) | (~m_processor_v_master(c_p0, s6)) | (~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_cmd(c_p0, s6, c_read_h_owned))),
% 50.17/32.78 inference(rewrite,[status(thm)],[])).
% 50.17/32.78 tff(14336,plain,
% 50.17/32.78 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p0, s6, c_read_h_owned) | (~m_processor_v_state(c_p0, s6, c_shared)) | (~m_processor_v_master(c_p0, s6)) | node62(c_p0, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (node62(c_p0, s6) | (~m_processor_v_master(c_p0, s6)) | (~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_cmd(c_p0, s6, c_read_h_owned)))),
% 50.17/32.78 inference(monotonicity,[status(thm)],[14335])).
% 50.17/32.78 tff(14337,plain,
% 50.17/32.78 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p0, s6, c_read_h_owned) | (~m_processor_v_state(c_p0, s6, c_shared)) | (~m_processor_v_master(c_p0, s6)) | node62(c_p0, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | node62(c_p0, s6) | (~m_processor_v_master(c_p0, s6)) | (~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_cmd(c_p0, s6, c_read_h_owned))),
% 50.17/32.78 inference(transitivity,[status(thm)],[14336, 14334])).
% 50.17/32.78 tff(14338,plain,
% 50.17/32.78 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p0, s6, c_read_h_owned) | (~m_processor_v_state(c_p0, s6, c_shared)) | (~m_processor_v_master(c_p0, s6)) | node62(c_p0, s6))),
% 50.17/32.78 inference(quant_inst,[status(thm)],[])).
% 50.17/32.78 tff(14339,plain,
% 50.17/32.78 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | node62(c_p0, s6) | (~m_processor_v_master(c_p0, s6)) | (~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_cmd(c_p0, s6, c_read_h_owned)),
% 50.17/32.78 inference(modus_ponens,[status(thm)],[14338, 14337])).
% 50.17/32.78 tff(14340,plain,
% 50.17/32.78 (node62(c_p0, s6) | (~m_processor_v_state(c_p0, s6, c_shared)) | m_processor_v_cmd(c_p0, s6, c_read_h_owned)),
% 50.17/32.78 inference(unit_resolution,[status(thm)],[14339, 1650, 2441])).
% 50.17/32.78 tff(14341,plain,
% 50.17/32.78 (node62(c_p0, s6)),
% 50.17/32.78 inference(unit_resolution,[status(thm)],[14340, 14333, 14323])).
% 50.17/32.78 tff(14342,plain,
% 50.17/32.78 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p0, s6, c_invalid) | (~node62(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p0, s6, c_invalid) | (~node62(c_p0, s6)))),
% 50.17/32.78 inference(rewrite,[status(thm)],[])).
% 50.17/32.78 tff(14343,plain,
% 50.17/32.78 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p0, s6, c_invalid) | (~node62(c_p0, s6)))),
% 50.17/32.78 inference(quant_inst,[status(thm)],[])).
% 50.17/32.78 tff(14344,plain,
% 50.17/32.78 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p0, s6, c_invalid) | (~node62(c_p0, s6))),
% 50.17/32.78 inference(modus_ponens,[status(thm)],[14343, 14342])).
% 50.17/32.78 tff(14345,plain,
% 50.17/32.78 ($false),
% 50.17/32.78 inference(unit_resolution,[status(thm)],[14344, 1633, 14332, 14341])).
% 50.17/32.78 tff(14346,plain,(m_processor_v_cmd(c_p0, s6, c_read_h_owned) | (~m_processor_v_master(c_p0, s6)) | m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_cmd(c_p0, s6, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.17/32.78 tff(14347,plain,
% 50.17/32.78 ($false),
% 50.17/32.78 inference(unit_resolution,[status(thm)],[14346, 14322, 14316, 5, 2441])).
% 50.17/32.78 tff(14348,plain,((~m_processor_v_master(c_p0, s6)) | m_processor_v_state(c_p0, s6, c_owned) | m_main_v_CMD(s6, c_read_h_shared) | m_main_v_CMD(s6, c_read_h_owned) | (~m_processor_v_cmd(c_p1, s6, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.17/32.78 tff(14349,plain,
% 50.17/32.78 (m_main_v_CMD(s6, c_read_h_shared)),
% 50.17/32.78 inference(unit_resolution,[status(thm)],[14348, 14209, 5, 14208, 14207])).
% 50.17/32.78 tff(14350,assumption,(~m_processor_v_CMD(c_p0, s6, c_read_h_shared)), introduced(assumption)).
% 50.17/32.78 tff(14351,assumption,(m_main_v_CMD(s6, c_read_h_shared)), introduced(assumption)).
% 50.17/32.78 tff(14352,assumption,(~node2(s6)), introduced(assumption)).
% 50.17/32.78 tff(14353,plain,
% 50.17/32.78 ((~![X: $i] : node2(X)) | node2(s6)),
% 50.17/32.78 inference(quant_inst,[status(thm)],[])).
% 50.17/32.78 tff(14354,plain,
% 50.17/32.78 ($false),
% 50.17/32.78 inference(unit_resolution,[status(thm)],[14353, 1215, 14352])).
% 50.17/32.78 tff(14355,plain,(node2(s6)), inference(lemma,lemma(discharge,[]))).
% 50.17/32.78 tff(14356,plain,
% 50.17/32.78 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~m_main_v_CMD(s6, c_read_h_shared)) | (~node2(s6)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~m_main_v_CMD(s6, c_read_h_shared)) | (~node2(s6)))),
% 50.17/32.78 inference(rewrite,[status(thm)],[])).
% 50.17/32.78 tff(14357,plain,
% 50.17/32.78 (((~m_main_v_CMD(s6, c_read_h_shared)) | (~node2(s6)) | m_processor_v_CMD(c_p0, s6, c_read_h_shared)) <=> (m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~m_main_v_CMD(s6, c_read_h_shared)) | (~node2(s6)))),
% 50.17/32.78 inference(rewrite,[status(thm)],[])).
% 50.17/32.78 tff(14358,plain,
% 50.17/32.78 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s6, c_read_h_shared)) | (~node2(s6)) | m_processor_v_CMD(c_p0, s6, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~m_main_v_CMD(s6, c_read_h_shared)) | (~node2(s6))))),
% 50.17/32.78 inference(monotonicity,[status(thm)],[14357])).
% 50.17/32.78 tff(14359,plain,
% 50.17/32.78 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s6, c_read_h_shared)) | (~node2(s6)) | m_processor_v_CMD(c_p0, s6, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~m_main_v_CMD(s6, c_read_h_shared)) | (~node2(s6)))),
% 50.17/32.78 inference(transitivity,[status(thm)],[14358, 14356])).
% 50.17/32.78 tff(14360,plain,
% 50.17/32.78 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s6, c_read_h_shared)) | (~node2(s6)) | m_processor_v_CMD(c_p0, s6, c_read_h_shared))),
% 50.17/32.78 inference(quant_inst,[status(thm)],[])).
% 50.17/32.78 tff(14361,plain,
% 50.17/32.78 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~m_main_v_CMD(s6, c_read_h_shared)) | (~node2(s6))),
% 50.17/32.78 inference(modus_ponens,[status(thm)],[14360, 14359])).
% 50.17/32.78 tff(14362,plain,
% 50.17/32.78 ($false),
% 50.17/32.78 inference(unit_resolution,[status(thm)],[14361, 1228, 14355, 14351, 14350])).
% 50.17/32.78 tff(14363,plain,(m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~m_main_v_CMD(s6, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 50.17/32.78 tff(14364,plain,
% 50.17/32.78 (m_processor_v_CMD(c_p0, s6, c_read_h_shared)),
% 50.17/32.78 inference(unit_resolution,[status(thm)],[14363, 14349])).
% 50.17/32.78 tff(14365,assumption,(node59(c_p0, s6)), introduced(assumption)).
% 50.17/32.78 tff(14366,assumption,(m_processor_v_CMD(c_p0, s6, c_read_h_shared)), introduced(assumption)).
% 50.17/32.78 tff(14367,plain,
% 50.17/32.78 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s6, c_read_h_shared)) | (~node59(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)) | (~node59(c_p0, s6)))),
% 50.17/32.78 inference(rewrite,[status(thm)],[])).
% 50.17/32.78 tff(14368,plain,
% 50.17/32.78 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s6, c_read_h_shared)) | (~node59(c_p0, s6)))),
% 50.17/32.78 inference(quant_inst,[status(thm)],[])).
% 50.17/32.78 tff(14369,plain,
% 50.17/32.78 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)) | (~node59(c_p0, s6))),
% 50.17/32.78 inference(modus_ponens,[status(thm)],[14368, 14367])).
% 50.17/32.78 tff(14370,plain,
% 50.17/32.78 ($false),
% 50.17/32.78 inference(unit_resolution,[status(thm)],[14369, 3834, 14366, 14365])).
% 50.17/32.78 tff(14371,plain,((~m_processor_v_CMD(c_p0, s6, c_read_h_shared)) | (~node59(c_p0, s6))), inference(lemma,lemma(discharge,[]))).
% 50.17/32.78 tff(14372,plain,
% 50.17/32.78 (~node59(c_p0, s6)),
% 50.17/32.78 inference(unit_resolution,[status(thm)],[14371, 14364])).
% 50.17/32.78 tff(14373,assumption,(~node59(c_p0, s6)), introduced(assumption)).
% 50.17/32.78 tff(14374,assumption,(node60(c_p0, s6)), introduced(assumption)).
% 50.17/32.78 tff(14375,plain,
% 50.17/32.78 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p0, s6)) | (~node60(c_p0, s6)) | node59(c_p0, s6))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p0, s6)) | (~node60(c_p0, s6)) | node59(c_p0, s6))),
% 50.17/32.78 inference(rewrite,[status(thm)],[])).
% 50.17/32.78 tff(14376,plain,
% 50.17/32.78 ((node59(c_p0, s6) | (~node60(c_p0, s6)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s6))) <=> ((~m_processor_v_REPLY_h_WAITING(c_p0, s6)) | (~node60(c_p0, s6)) | node59(c_p0, s6))),
% 50.17/32.78 inference(rewrite,[status(thm)],[])).
% 50.17/32.78 tff(14377,plain,
% 50.17/32.78 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s6) | (~node60(c_p0, s6)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p0, s6)) | (~node60(c_p0, s6)) | node59(c_p0, s6)))),
% 50.17/32.78 inference(monotonicity,[status(thm)],[14376])).
% 50.17/32.78 tff(14378,plain,
% 50.17/32.78 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s6) | (~node60(c_p0, s6)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p0, s6)) | (~node60(c_p0, s6)) | node59(c_p0, s6))),
% 50.17/32.78 inference(transitivity,[status(thm)],[14377, 14375])).
% 50.17/32.78 tff(14379,plain,
% 50.17/32.78 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s6) | (~node60(c_p0, s6)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s6)))),
% 50.17/32.78 inference(quant_inst,[status(thm)],[])).
% 50.17/32.78 tff(14380,plain,
% 50.17/32.78 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p0, s6)) | (~node60(c_p0, s6)) | node59(c_p0, s6)),
% 50.17/32.78 inference(modus_ponens,[status(thm)],[14379, 14378])).
% 50.17/32.78 tff(14381,plain,
% 50.17/32.78 ($false),
% 50.17/32.78 inference(unit_resolution,[status(thm)],[14380, 724, 14374, 14194, 14373])).
% 50.17/32.78 tff(14382,plain,(node59(c_p0, s6) | (~node60(c_p0, s6)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s6))), inference(lemma,lemma(discharge,[]))).
% 50.17/32.78 tff(14383,plain,
% 50.17/32.78 ($false),
% 50.17/32.78 inference(unit_resolution,[status(thm)],[14382, 14372, 14206, 14194])).
% 50.17/32.78 tff(14384,plain,(m_processor_v_state(c_p0, s7, c_invalid) | (~m_processor_v_REPLY_h_WAITING(c_p0, s6)) | m_processor_v_state(c_p0, s6, c_owned) | m_main_v_CMD(s6, c_read_h_owned) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_state(c_p0, s6, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 50.17/32.78 tff(14385,plain,
% 50.17/32.78 (m_main_v_CMD(s6, c_read_h_owned)),
% 50.17/32.78 inference(unit_resolution,[status(thm)],[14384, 2358, 5, 14194, 14207, 2392])).
% 50.17/32.78 tff(14386,assumption,(m_main_v_CMD(s6, c_read_h_owned)), introduced(assumption)).
% 50.17/32.78 tff(14387,plain,
% 50.17/32.78 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s6, c_read_h_owned) | (~m_main_v_CMD(s6, c_read_h_owned)) | (~node2(s6)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | (~m_main_v_CMD(s6, c_read_h_owned)) | (~node2(s6)))),
% 50.17/32.78 inference(rewrite,[status(thm)],[])).
% 50.17/32.78 tff(14388,plain,
% 50.17/32.78 (((~m_main_v_CMD(s6, c_read_h_owned)) | (~node2(s6)) | m_processor_v_CMD(c_p0, s6, c_read_h_owned)) <=> (m_processor_v_CMD(c_p0, s6, c_read_h_owned) | (~m_main_v_CMD(s6, c_read_h_owned)) | (~node2(s6)))),
% 50.17/32.78 inference(rewrite,[status(thm)],[])).
% 50.17/32.78 tff(14389,plain,
% 50.17/32.78 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s6, c_read_h_owned)) | (~node2(s6)) | m_processor_v_CMD(c_p0, s6, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s6, c_read_h_owned) | (~m_main_v_CMD(s6, c_read_h_owned)) | (~node2(s6))))),
% 50.17/32.78 inference(monotonicity,[status(thm)],[14388])).
% 50.17/32.78 tff(14390,plain,
% 50.17/32.78 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s6, c_read_h_owned)) | (~node2(s6)) | m_processor_v_CMD(c_p0, s6, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | (~m_main_v_CMD(s6, c_read_h_owned)) | (~node2(s6)))),
% 50.17/32.78 inference(transitivity,[status(thm)],[14389, 14387])).
% 50.17/32.78 tff(14391,plain,
% 50.17/32.78 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s6, c_read_h_owned)) | (~node2(s6)) | m_processor_v_CMD(c_p0, s6, c_read_h_owned))),
% 50.17/32.78 inference(quant_inst,[status(thm)],[])).
% 50.17/32.78 tff(14392,plain,
% 50.17/32.78 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | (~m_main_v_CMD(s6, c_read_h_owned)) | (~node2(s6))),
% 50.17/32.78 inference(modus_ponens,[status(thm)],[14391, 14390])).
% 50.17/32.78 tff(14393,plain,
% 50.17/32.78 ($false),
% 50.17/32.78 inference(unit_resolution,[status(thm)],[14392, 1228, 14355, 2439, 14386])).
% 50.17/32.78 tff(14394,plain,((~m_main_v_CMD(s6, c_read_h_owned)) | m_processor_v_CMD(c_p0, s6, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 50.17/32.78 tff(14395,plain,
% 50.17/32.78 (m_processor_v_CMD(c_p0, s6, c_read_h_owned)),
% 50.17/32.78 inference(unit_resolution,[status(thm)],[14394, 14385])).
% 50.17/32.78 tff(14396,assumption,(m_processor_v_CMD(c_p0, s6, c_read_h_owned)), introduced(assumption)).
% 50.17/32.78 tff(14397,plain,
% 50.17/32.78 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s6, c_read_h_owned)) | (~node59(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s6, c_read_h_owned)) | (~node59(c_p0, s6)))),
% 50.17/32.78 inference(rewrite,[status(thm)],[])).
% 50.17/32.78 tff(14398,plain,
% 50.17/32.78 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s6, c_read_h_owned)) | (~node59(c_p0, s6)))),
% 50.17/32.79 inference(quant_inst,[status(thm)],[])).
% 50.17/32.79 tff(14399,plain,
% 50.17/32.79 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s6, c_read_h_owned)) | (~node59(c_p0, s6))),
% 50.17/32.79 inference(modus_ponens,[status(thm)],[14398, 14397])).
% 50.17/32.79 tff(14400,plain,
% 50.17/32.79 ($false),
% 50.17/32.79 inference(unit_resolution,[status(thm)],[14399, 707, 14396, 14365])).
% 50.17/32.79 tff(14401,plain,((~node59(c_p0, s6)) | (~m_processor_v_CMD(c_p0, s6, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 50.17/32.79 tff(14402,plain,
% 50.17/32.79 (~node59(c_p0, s6)),
% 50.17/32.79 inference(unit_resolution,[status(thm)],[14401, 14395])).
% 50.17/32.79 tff(14403,plain,
% 50.17/32.79 ($false),
% 50.17/32.79 inference(unit_resolution,[status(thm)],[14382, 14402, 14206, 14194])).
% 50.17/32.79 tff(14404,plain,(m_processor_v_state(c_p0, s7, c_invalid) | (~m_processor_v_REPLY_h_WAITING(c_p0, s6)) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_state(c_p0, s6, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 50.17/32.79 tff(14405,plain,
% 50.17/32.79 (m_processor_v_state(c_p0, s7, c_invalid)),
% 50.17/32.79 inference(unit_resolution,[status(thm)],[14404, 14193, 5, 14157, 14121])).
% 50.17/32.79 tff(14406,plain,
% 50.17/32.79 (~m_processor_v_state(c_p0, s7, c_owned)),
% 50.17/32.79 inference(unit_resolution,[status(thm)],[2316, 137, 14405])).
% 50.17/32.79 tff(14407,assumption,(node56(c_p0, s8)), introduced(assumption)).
% 50.17/32.79 tff(14408,assumption,(~m_processor_v_state(c_p0, s8, c_owned)), introduced(assumption)).
% 50.17/32.79 tff(14409,plain,
% 50.17/32.79 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s8, c_owned) | (~node56(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p0, s8, c_owned) | (~node56(c_p0, s8)))),
% 50.17/32.79 inference(rewrite,[status(thm)],[])).
% 50.17/32.79 tff(14410,plain,
% 50.17/32.79 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s8, c_owned) | (~node56(c_p0, s8)))),
% 50.17/32.79 inference(quant_inst,[status(thm)],[])).
% 50.17/32.79 tff(14411,plain,
% 50.17/32.79 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p0, s8, c_owned) | (~node56(c_p0, s8))),
% 50.17/32.79 inference(modus_ponens,[status(thm)],[14410, 14409])).
% 50.17/32.79 tff(14412,plain,
% 50.17/32.79 ($false),
% 50.17/32.79 inference(unit_resolution,[status(thm)],[14411, 13, 14408, 14407])).
% 50.17/32.79 tff(14413,plain,(m_processor_v_state(c_p0, s8, c_owned) | (~node56(c_p0, s8))), inference(lemma,lemma(discharge,[]))).
% 50.17/32.79 tff(14414,plain,
% 50.17/32.79 (m_processor_v_state(c_p0, s8, c_owned)),
% 50.17/32.79 inference(unit_resolution,[status(thm)],[14413, 14407])).
% 50.17/32.79 tff(14415,assumption,(m_processor_v_waiting(c_p0, s8)), introduced(assumption)).
% 50.17/32.79 tff(14416,plain,
% 50.17/32.79 (((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p0, s8)) | (~node56(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p0, s8)) | (~node56(c_p0, s8)))),
% 50.17/32.79 inference(rewrite,[status(thm)],[])).
% 50.17/32.79 tff(14417,plain,
% 50.17/32.79 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p0, s8)) | (~node56(c_p0, s8)))),
% 50.17/32.79 inference(quant_inst,[status(thm)],[])).
% 50.17/32.79 tff(14418,plain,
% 50.17/32.79 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p0, s8)) | (~node56(c_p0, s8))),
% 50.17/32.79 inference(modus_ponens,[status(thm)],[14417, 14416])).
% 50.17/32.79 tff(14419,plain,
% 50.17/32.79 ($false),
% 50.17/32.79 inference(unit_resolution,[status(thm)],[14418, 540, 14407, 14415])).
% 50.17/32.79 tff(14420,plain,((~m_processor_v_waiting(c_p0, s8)) | (~node56(c_p0, s8))), inference(lemma,lemma(discharge,[]))).
% 50.17/32.79 tff(14421,plain,
% 50.17/32.79 (~m_processor_v_waiting(c_p0, s8)),
% 50.17/32.79 inference(unit_resolution,[status(thm)],[14420, 14407])).
% 50.17/32.79 tff(14422,assumption,(m_processor_v_state(c_p0, s8, c_owned)), introduced(assumption)).
% 50.17/32.79 tff(14423,assumption,(m_processor_v_state(c_p0, s7, c_shared)), introduced(assumption)).
% 50.17/32.79 tff(14424,assumption,(m_processor_v_state(c_p0, s8, c_invalid)), introduced(assumption)).
% 50.17/32.79 tff(14425,plain,
% 50.17/32.79 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s8, c_invalid)) | (~m_processor_v_state(c_p0, s8, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s8, c_invalid)) | (~m_processor_v_state(c_p0, s8, c_owned)))),
% 50.17/32.79 inference(rewrite,[status(thm)],[])).
% 50.17/32.79 tff(14426,plain,
% 50.17/32.79 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s8, c_invalid)) | (~m_processor_v_state(c_p0, s8, c_owned)))),
% 50.17/32.79 inference(quant_inst,[status(thm)],[])).
% 50.17/32.79 tff(14427,plain,
% 50.17/32.79 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s8, c_invalid)) | (~m_processor_v_state(c_p0, s8, c_owned))),
% 50.17/32.79 inference(modus_ponens,[status(thm)],[14426, 14425])).
% 50.17/32.79 tff(14428,plain,
% 50.17/32.79 ($false),
% 50.17/32.79 inference(unit_resolution,[status(thm)],[14427, 137, 14422, 14424])).
% 50.17/32.79 tff(14429,plain,((~m_processor_v_state(c_p0, s8, c_invalid)) | (~m_processor_v_state(c_p0, s8, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.17/32.79 tff(14430,plain,
% 50.17/32.79 (~m_processor_v_state(c_p0, s8, c_invalid)),
% 50.17/32.79 inference(unit_resolution,[status(thm)],[14429, 14422])).
% 50.17/32.79 tff(14431,plain,
% 50.17/32.79 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s8, c_owned)) | (~m_processor_v_state(c_p0, s8, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s8, c_owned)) | (~m_processor_v_state(c_p0, s8, c_shared)))),
% 50.17/32.79 inference(rewrite,[status(thm)],[])).
% 50.17/32.79 tff(14432,plain,
% 50.17/32.79 (((~m_processor_v_state(c_p0, s8, c_shared)) | (~m_processor_v_state(c_p0, s8, c_owned))) <=> ((~m_processor_v_state(c_p0, s8, c_owned)) | (~m_processor_v_state(c_p0, s8, c_shared)))),
% 50.17/32.79 inference(rewrite,[status(thm)],[])).
% 50.17/32.79 tff(14433,plain,
% 50.17/32.79 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s8, c_shared)) | (~m_processor_v_state(c_p0, s8, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s8, c_owned)) | (~m_processor_v_state(c_p0, s8, c_shared))))),
% 50.17/32.79 inference(monotonicity,[status(thm)],[14432])).
% 50.17/32.79 tff(14434,plain,
% 50.17/32.79 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s8, c_shared)) | (~m_processor_v_state(c_p0, s8, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s8, c_owned)) | (~m_processor_v_state(c_p0, s8, c_shared)))),
% 50.17/32.79 inference(transitivity,[status(thm)],[14433, 14431])).
% 50.17/32.79 tff(14435,plain,
% 50.17/32.79 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s8, c_shared)) | (~m_processor_v_state(c_p0, s8, c_owned)))),
% 50.17/32.79 inference(quant_inst,[status(thm)],[])).
% 50.17/32.79 tff(14436,plain,
% 50.17/32.79 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s8, c_owned)) | (~m_processor_v_state(c_p0, s8, c_shared))),
% 50.17/32.79 inference(modus_ponens,[status(thm)],[14435, 14434])).
% 50.17/32.79 tff(14437,plain,
% 50.17/32.79 (~m_processor_v_state(c_p0, s8, c_shared)),
% 50.17/32.79 inference(unit_resolution,[status(thm)],[14436, 121, 14422])).
% 50.17/32.79 tff(14438,assumption,(~m_processor_v_state(c_p0, s8, c_invalid)), introduced(assumption)).
% 50.17/32.79 tff(14439,assumption,(~m_processor_v_abort(c_p0, s7)), introduced(assumption)).
% 50.17/32.79 tff(14440,assumption,(~node38(c_p0, s7, s8)), introduced(assumption)).
% 50.17/32.79 tff(14441,plain,
% 50.17/32.79 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s7, s8)) | node38(c_p0, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s7, s8)) | node38(c_p0, s7, s8))),
% 50.17/32.79 inference(rewrite,[status(thm)],[])).
% 50.17/32.79 tff(14442,plain,
% 50.17/32.79 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s7, s8)) | node38(c_p0, s7, s8))),
% 50.17/32.79 inference(quant_inst,[status(thm)],[])).
% 50.17/32.79 tff(14443,plain,
% 50.17/32.79 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s7, s8)) | node38(c_p0, s7, s8)),
% 50.17/32.79 inference(modus_ponens,[status(thm)],[14442, 14441])).
% 50.17/32.79 tff(14444,plain,
% 50.17/32.79 ($false),
% 50.17/32.79 inference(unit_resolution,[status(thm)],[14443, 210, 13037, 14440])).
% 50.17/32.79 tff(14445,plain,(node38(c_p0, s7, s8)), inference(lemma,lemma(discharge,[]))).
% 50.17/32.79 tff(14446,plain,
% 50.17/32.79 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p0, s7) | m_processor_v_master(c_p0, s7) | (~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_abort(c_p0, s7) | m_processor_v_state(c_p0, s8, c_invalid) | (~node38(c_p0, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p0, s7) | m_processor_v_master(c_p0, s7) | (~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_abort(c_p0, s7) | m_processor_v_state(c_p0, s8, c_invalid) | (~node38(c_p0, s7, s8)))),
% 50.17/32.79 inference(rewrite,[status(thm)],[])).
% 50.17/32.79 tff(14447,plain,
% 50.17/32.79 (((~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_master(c_p0, s7) | node35(c_p0, s7) | m_processor_v_state(c_p0, s8, c_invalid) | (~node38(c_p0, s7, s8)) | m_processor_v_abort(c_p0, s7)) <=> (node35(c_p0, s7) | m_processor_v_master(c_p0, s7) | (~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_abort(c_p0, s7) | m_processor_v_state(c_p0, s8, c_invalid) | (~node38(c_p0, s7, s8)))),
% 50.17/32.79 inference(rewrite,[status(thm)],[])).
% 50.17/32.79 tff(14448,plain,
% 50.17/32.79 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_master(c_p0, s7) | node35(c_p0, s7) | m_processor_v_state(c_p0, s8, c_invalid) | (~node38(c_p0, s7, s8)) | m_processor_v_abort(c_p0, s7))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p0, s7) | m_processor_v_master(c_p0, s7) | (~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_abort(c_p0, s7) | m_processor_v_state(c_p0, s8, c_invalid) | (~node38(c_p0, s7, s8))))),
% 50.17/32.79 inference(monotonicity,[status(thm)],[14447])).
% 50.17/32.79 tff(14449,plain,
% 50.17/32.79 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_master(c_p0, s7) | node35(c_p0, s7) | m_processor_v_state(c_p0, s8, c_invalid) | (~node38(c_p0, s7, s8)) | m_processor_v_abort(c_p0, s7))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p0, s7) | m_processor_v_master(c_p0, s7) | (~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_abort(c_p0, s7) | m_processor_v_state(c_p0, s8, c_invalid) | (~node38(c_p0, s7, s8)))),
% 50.17/32.79 inference(transitivity,[status(thm)],[14448, 14446])).
% 50.17/32.79 tff(14450,plain,
% 50.17/32.79 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_master(c_p0, s7) | node35(c_p0, s7) | m_processor_v_state(c_p0, s8, c_invalid) | (~node38(c_p0, s7, s8)) | m_processor_v_abort(c_p0, s7))),
% 50.17/32.79 inference(quant_inst,[status(thm)],[])).
% 50.17/32.79 tff(14451,plain,
% 50.17/32.79 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p0, s7) | m_processor_v_master(c_p0, s7) | (~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_abort(c_p0, s7) | m_processor_v_state(c_p0, s8, c_invalid) | (~node38(c_p0, s7, s8))),
% 50.17/32.79 inference(modus_ponens,[status(thm)],[14450, 14449])).
% 50.17/32.79 tff(14452,plain,
% 50.17/32.79 (node35(c_p0, s7) | m_processor_v_master(c_p0, s7) | (~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_abort(c_p0, s7) | m_processor_v_state(c_p0, s8, c_invalid)),
% 50.17/32.79 inference(unit_resolution,[status(thm)],[14451, 301, 14445])).
% 50.17/32.79 tff(14453,plain,
% 50.17/32.79 (node35(c_p0, s7)),
% 50.17/32.79 inference(unit_resolution,[status(thm)],[14452, 55, 14439, 14438, 14423])).
% 50.17/32.79 tff(14454,plain,
% 50.17/32.79 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~node35(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s7, c_invalidate)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~node35(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s7, c_invalidate)))),
% 50.17/32.79 inference(rewrite,[status(thm)],[])).
% 50.17/32.79 tff(14455,plain,
% 50.17/32.79 (((~m_processor_v_CMD(c_p0, s7, c_invalidate)) | (~node35(c_p0, s7))) <=> ((~node35(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s7, c_invalidate)))),
% 50.17/32.79 inference(rewrite,[status(thm)],[])).
% 50.17/32.79 tff(14456,plain,
% 50.17/32.79 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s7, c_invalidate)) | (~node35(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~node35(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s7, c_invalidate))))),
% 50.17/32.79 inference(monotonicity,[status(thm)],[14455])).
% 50.17/32.79 tff(14457,plain,
% 50.17/32.79 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s7, c_invalidate)) | (~node35(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~node35(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s7, c_invalidate)))),
% 50.17/32.79 inference(transitivity,[status(thm)],[14456, 14454])).
% 50.17/32.79 tff(14458,plain,
% 50.17/32.79 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s7, c_invalidate)) | (~node35(c_p0, s7)))),
% 50.17/32.79 inference(quant_inst,[status(thm)],[])).
% 50.17/32.79 tff(14459,plain,
% 50.17/32.79 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~node35(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s7, c_invalidate))),
% 50.17/32.79 inference(modus_ponens,[status(thm)],[14458, 14457])).
% 50.17/32.79 tff(14460,plain,
% 50.17/32.79 (~m_processor_v_CMD(c_p0, s7, c_invalidate)),
% 50.17/32.79 inference(unit_resolution,[status(thm)],[14459, 327, 14453])).
% 50.17/32.79 tff(14461,plain,
% 50.17/32.79 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~node35(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~node35(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)))),
% 50.17/32.79 inference(rewrite,[status(thm)],[])).
% 50.17/32.79 tff(14462,plain,
% 50.17/32.79 (((~m_processor_v_CMD(c_p0, s7, c_read_h_owned)) | (~node35(c_p0, s7))) <=> ((~node35(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)))),
% 50.17/32.79 inference(rewrite,[status(thm)],[])).
% 50.17/32.79 tff(14463,plain,
% 50.17/32.79 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s7, c_read_h_owned)) | (~node35(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~node35(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned))))),
% 50.17/32.79 inference(monotonicity,[status(thm)],[14462])).
% 50.17/32.79 tff(14464,plain,
% 50.17/32.79 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s7, c_read_h_owned)) | (~node35(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~node35(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)))),
% 50.17/32.79 inference(transitivity,[status(thm)],[14463, 14461])).
% 50.17/32.79 tff(14465,plain,
% 50.17/32.79 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s7, c_read_h_owned)) | (~node35(c_p0, s7)))),
% 50.17/32.79 inference(quant_inst,[status(thm)],[])).
% 50.17/32.79 tff(14466,plain,
% 50.17/32.79 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~node35(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned))),
% 50.17/32.79 inference(modus_ponens,[status(thm)],[14465, 14464])).
% 50.17/32.79 tff(14467,plain,
% 50.17/32.79 (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)),
% 50.17/32.79 inference(unit_resolution,[status(thm)],[14466, 316, 14453])).
% 50.17/32.79 tff(14468,assumption,(~m_processor_v_state(c_p0, s8, c_shared)), introduced(assumption)).
% 50.17/32.79 tff(14469,plain,
% 50.17/32.79 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s7) | (~m_processor_v_state(c_p0, s7, c_shared)) | node36(c_p0, s7) | m_processor_v_abort(c_p0, s7) | m_processor_v_state(c_p0, s8, c_invalid) | m_processor_v_state(c_p0, s8, c_shared) | (~node38(c_p0, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s7) | (~m_processor_v_state(c_p0, s7, c_shared)) | node36(c_p0, s7) | m_processor_v_abort(c_p0, s7) | m_processor_v_state(c_p0, s8, c_invalid) | m_processor_v_state(c_p0, s8, c_shared) | (~node38(c_p0, s7, s8)))),
% 50.17/32.79 inference(rewrite,[status(thm)],[])).
% 50.17/32.79 tff(14470,plain,
% 50.17/32.79 (((~m_processor_v_state(c_p0, s7, c_shared)) | node36(c_p0, s7) | m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_master(c_p0, s7) | m_processor_v_state(c_p0, s8, c_invalid) | (~node38(c_p0, s7, s8)) | m_processor_v_abort(c_p0, s7)) <=> (m_processor_v_master(c_p0, s7) | (~m_processor_v_state(c_p0, s7, c_shared)) | node36(c_p0, s7) | m_processor_v_abort(c_p0, s7) | m_processor_v_state(c_p0, s8, c_invalid) | m_processor_v_state(c_p0, s8, c_shared) | (~node38(c_p0, s7, s8)))),
% 50.17/32.79 inference(rewrite,[status(thm)],[])).
% 50.17/32.79 tff(14471,plain,
% 50.17/32.79 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s7, c_shared)) | node36(c_p0, s7) | m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_master(c_p0, s7) | m_processor_v_state(c_p0, s8, c_invalid) | (~node38(c_p0, s7, s8)) | m_processor_v_abort(c_p0, s7))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s7) | (~m_processor_v_state(c_p0, s7, c_shared)) | node36(c_p0, s7) | m_processor_v_abort(c_p0, s7) | m_processor_v_state(c_p0, s8, c_invalid) | m_processor_v_state(c_p0, s8, c_shared) | (~node38(c_p0, s7, s8))))),
% 50.17/32.79 inference(monotonicity,[status(thm)],[14470])).
% 50.17/32.79 tff(14472,plain,
% 50.17/32.79 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s7, c_shared)) | node36(c_p0, s7) | m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_master(c_p0, s7) | m_processor_v_state(c_p0, s8, c_invalid) | (~node38(c_p0, s7, s8)) | m_processor_v_abort(c_p0, s7))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s7) | (~m_processor_v_state(c_p0, s7, c_shared)) | node36(c_p0, s7) | m_processor_v_abort(c_p0, s7) | m_processor_v_state(c_p0, s8, c_invalid) | m_processor_v_state(c_p0, s8, c_shared) | (~node38(c_p0, s7, s8)))),
% 50.17/32.79 inference(transitivity,[status(thm)],[14471, 14469])).
% 50.17/32.79 tff(14473,plain,
% 50.17/32.79 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s7, c_shared)) | node36(c_p0, s7) | m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_master(c_p0, s7) | m_processor_v_state(c_p0, s8, c_invalid) | (~node38(c_p0, s7, s8)) | m_processor_v_abort(c_p0, s7))),
% 50.17/32.79 inference(quant_inst,[status(thm)],[])).
% 50.17/32.79 tff(14474,plain,
% 50.17/32.79 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s7) | (~m_processor_v_state(c_p0, s7, c_shared)) | node36(c_p0, s7) | m_processor_v_abort(c_p0, s7) | m_processor_v_state(c_p0, s8, c_invalid) | m_processor_v_state(c_p0, s8, c_shared) | (~node38(c_p0, s7, s8))),
% 50.17/32.79 inference(modus_ponens,[status(thm)],[14473, 14472])).
% 50.17/32.79 tff(14475,plain,
% 50.17/32.79 (m_processor_v_master(c_p0, s7) | (~m_processor_v_state(c_p0, s7, c_shared)) | node36(c_p0, s7) | m_processor_v_abort(c_p0, s7) | m_processor_v_state(c_p0, s8, c_invalid) | m_processor_v_state(c_p0, s8, c_shared)),
% 50.17/32.79 inference(unit_resolution,[status(thm)],[14474, 341, 14445])).
% 50.17/32.79 tff(14476,plain,
% 50.17/32.79 (node36(c_p0, s7)),
% 50.17/32.79 inference(unit_resolution,[status(thm)],[14475, 55, 14423, 14439, 14438, 14468])).
% 50.17/32.79 tff(14477,plain,
% 50.17/32.79 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s7, c_read_h_owned) | (~node36(c_p0, s7)) | m_processor_v_CMD(c_p0, s7, c_invalidate))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | (~node36(c_p0, s7)) | m_processor_v_CMD(c_p0, s7, c_invalidate))),
% 50.17/32.79 inference(rewrite,[status(thm)],[])).
% 50.17/32.79 tff(14478,plain,
% 50.17/32.79 ((m_processor_v_CMD(c_p0, s7, c_invalidate) | (~node36(c_p0, s7)) | m_processor_v_CMD(c_p0, s7, c_read_h_owned)) <=> (m_processor_v_CMD(c_p0, s7, c_read_h_owned) | (~node36(c_p0, s7)) | m_processor_v_CMD(c_p0, s7, c_invalidate))),
% 50.17/32.79 inference(rewrite,[status(thm)],[])).
% 50.17/32.79 tff(14479,plain,
% 50.17/32.79 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s7, c_invalidate) | (~node36(c_p0, s7)) | m_processor_v_CMD(c_p0, s7, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s7, c_read_h_owned) | (~node36(c_p0, s7)) | m_processor_v_CMD(c_p0, s7, c_invalidate)))),
% 50.17/32.79 inference(monotonicity,[status(thm)],[14478])).
% 50.17/32.79 tff(14480,plain,
% 50.17/32.79 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s7, c_invalidate) | (~node36(c_p0, s7)) | m_processor_v_CMD(c_p0, s7, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | (~node36(c_p0, s7)) | m_processor_v_CMD(c_p0, s7, c_invalidate))),
% 50.17/32.80 inference(transitivity,[status(thm)],[14479, 14477])).
% 50.17/32.80 tff(14481,plain,
% 50.17/32.80 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s7, c_invalidate) | (~node36(c_p0, s7)) | m_processor_v_CMD(c_p0, s7, c_read_h_owned))),
% 50.17/32.80 inference(quant_inst,[status(thm)],[])).
% 50.17/32.80 tff(14482,plain,
% 50.17/32.80 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | (~node36(c_p0, s7)) | m_processor_v_CMD(c_p0, s7, c_invalidate)),
% 50.17/32.80 inference(modus_ponens,[status(thm)],[14481, 14480])).
% 50.17/32.80 tff(14483,plain,
% 50.17/32.80 ($false),
% 50.17/32.80 inference(unit_resolution,[status(thm)],[14482, 359, 14476, 14467, 14460])).
% 50.17/32.80 tff(14484,plain,(m_processor_v_master(c_p0, s7) | (~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_abort(c_p0, s7) | m_processor_v_state(c_p0, s8, c_invalid) | m_processor_v_state(c_p0, s8, c_shared)), inference(lemma,lemma(discharge,[]))).
% 50.17/32.80 tff(14485,plain,
% 50.17/32.80 (m_processor_v_abort(c_p0, s7)),
% 50.17/32.80 inference(unit_resolution,[status(thm)],[14484, 14437, 55, 14430, 14423])).
% 50.17/32.80 tff(14486,plain,
% 50.17/32.80 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s7, s8) | (~m_processor_v_abort(c_p0, s7)) | (~node38(c_p0, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s7, s8) | (~m_processor_v_abort(c_p0, s7)) | (~node38(c_p0, s7, s8)))),
% 50.17/32.80 inference(rewrite,[status(thm)],[])).
% 50.17/32.80 tff(14487,plain,
% 50.17/32.80 ((node32(c_p0, s7, s8) | (~node38(c_p0, s7, s8)) | (~m_processor_v_abort(c_p0, s7))) <=> (node32(c_p0, s7, s8) | (~m_processor_v_abort(c_p0, s7)) | (~node38(c_p0, s7, s8)))),
% 50.17/32.80 inference(rewrite,[status(thm)],[])).
% 50.17/32.80 tff(14488,plain,
% 50.17/32.80 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s7, s8) | (~node38(c_p0, s7, s8)) | (~m_processor_v_abort(c_p0, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s7, s8) | (~m_processor_v_abort(c_p0, s7)) | (~node38(c_p0, s7, s8))))),
% 50.17/32.80 inference(monotonicity,[status(thm)],[14487])).
% 50.17/32.80 tff(14489,plain,
% 50.17/32.80 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s7, s8) | (~node38(c_p0, s7, s8)) | (~m_processor_v_abort(c_p0, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s7, s8) | (~m_processor_v_abort(c_p0, s7)) | (~node38(c_p0, s7, s8)))),
% 50.17/32.80 inference(transitivity,[status(thm)],[14488, 14486])).
% 50.17/32.80 tff(14490,plain,
% 50.17/32.80 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s7, s8) | (~node38(c_p0, s7, s8)) | (~m_processor_v_abort(c_p0, s7)))),
% 50.17/32.80 inference(quant_inst,[status(thm)],[])).
% 50.17/32.80 tff(14491,plain,
% 50.17/32.80 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s7, s8) | (~m_processor_v_abort(c_p0, s7)) | (~node38(c_p0, s7, s8))),
% 50.17/32.80 inference(modus_ponens,[status(thm)],[14490, 14489])).
% 50.17/32.80 tff(14492,plain,
% 50.17/32.80 (node32(c_p0, s7, s8) | (~m_processor_v_abort(c_p0, s7))),
% 50.17/32.80 inference(unit_resolution,[status(thm)],[14491, 243, 14445])).
% 50.17/32.80 tff(14493,plain,
% 50.17/32.80 (node32(c_p0, s7, s8)),
% 50.17/32.80 inference(unit_resolution,[status(thm)],[14492, 14485])).
% 50.17/32.80 tff(14494,plain,
% 50.17/32.80 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_state(c_p0, s8, c_shared) | (~node32(c_p0, s7, s8)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_state(c_p0, s8, c_shared) | (~node32(c_p0, s7, s8)))),
% 50.17/32.80 inference(rewrite,[status(thm)],[])).
% 50.17/32.80 tff(14495,plain,
% 50.17/32.80 (((~node32(c_p0, s7, s8)) | (~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_state(c_p0, s8, c_shared)) <=> ((~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_state(c_p0, s8, c_shared) | (~node32(c_p0, s7, s8)))),
% 50.17/32.80 inference(rewrite,[status(thm)],[])).
% 50.17/32.80 tff(14496,plain,
% 50.17/32.80 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s7, s8)) | (~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_state(c_p0, s8, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_state(c_p0, s8, c_shared) | (~node32(c_p0, s7, s8))))),
% 50.17/32.80 inference(monotonicity,[status(thm)],[14495])).
% 50.17/32.80 tff(14497,plain,
% 50.17/32.80 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s7, s8)) | (~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_state(c_p0, s8, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_state(c_p0, s8, c_shared) | (~node32(c_p0, s7, s8)))),
% 50.17/32.80 inference(transitivity,[status(thm)],[14496, 14494])).
% 50.17/32.80 tff(14498,plain,
% 50.17/32.80 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s7, s8)) | (~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_state(c_p0, s8, c_shared))),
% 50.17/32.80 inference(quant_inst,[status(thm)],[])).
% 50.17/32.80 tff(14499,plain,
% 50.17/32.80 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_state(c_p0, s8, c_shared) | (~node32(c_p0, s7, s8))),
% 50.17/32.80 inference(modus_ponens,[status(thm)],[14498, 14497])).
% 50.17/32.80 tff(14500,plain,
% 50.17/32.80 ($false),
% 50.17/32.80 inference(unit_resolution,[status(thm)],[14499, 380, 14423, 14437, 14493])).
% 50.17/32.80 tff(14501,plain,((~m_processor_v_state(c_p0, s8, c_owned)) | (~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_master(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 50.17/32.80 tff(14502,plain,
% 50.17/32.80 (~m_processor_v_state(c_p0, s7, c_shared)),
% 50.17/32.80 inference(unit_resolution,[status(thm)],[14501, 55, 14422])).
% 50.17/32.80 tff(14503,assumption,(m_processor_v_state(c_p0, s7, c_invalid)), introduced(assumption)).
% 50.17/32.80 tff(14504,assumption,(node32(c_p0, s7, s8)), introduced(assumption)).
% 50.17/32.80 tff(14505,plain,
% 50.17/32.80 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_state(c_p0, s8, c_invalid) | (~node32(c_p0, s7, s8)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_state(c_p0, s8, c_invalid) | (~node32(c_p0, s7, s8)))),
% 50.17/32.80 inference(rewrite,[status(thm)],[])).
% 50.17/32.80 tff(14506,plain,
% 50.17/32.80 (((~node32(c_p0, s7, s8)) | (~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_state(c_p0, s8, c_invalid)) <=> ((~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_state(c_p0, s8, c_invalid) | (~node32(c_p0, s7, s8)))),
% 50.17/32.80 inference(rewrite,[status(thm)],[])).
% 50.17/32.80 tff(14507,plain,
% 50.17/32.80 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s7, s8)) | (~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_state(c_p0, s8, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_state(c_p0, s8, c_invalid) | (~node32(c_p0, s7, s8))))),
% 50.17/32.80 inference(monotonicity,[status(thm)],[14506])).
% 50.17/32.80 tff(14508,plain,
% 50.17/32.80 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s7, s8)) | (~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_state(c_p0, s8, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_state(c_p0, s8, c_invalid) | (~node32(c_p0, s7, s8)))),
% 50.17/32.80 inference(transitivity,[status(thm)],[14507, 14505])).
% 50.17/32.80 tff(14509,plain,
% 50.17/32.80 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s7, s8)) | (~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_state(c_p0, s8, c_invalid))),
% 50.17/32.80 inference(quant_inst,[status(thm)],[])).
% 50.17/32.80 tff(14510,plain,
% 50.17/32.80 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_state(c_p0, s8, c_invalid) | (~node32(c_p0, s7, s8))),
% 50.17/32.80 inference(modus_ponens,[status(thm)],[14509, 14508])).
% 50.17/32.80 tff(14511,plain,
% 50.17/32.80 ($false),
% 50.17/32.80 inference(unit_resolution,[status(thm)],[14510, 380, 14503, 14438, 14504])).
% 50.17/32.80 tff(14512,plain,((~node32(c_p0, s7, s8)) | (~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_state(c_p0, s8, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.17/32.80 tff(14513,plain,
% 50.17/32.80 (~node32(c_p0, s7, s8)),
% 50.17/32.80 inference(unit_resolution,[status(thm)],[14512, 14438, 14503])).
% 50.17/32.80 tff(14514,plain,
% 50.17/32.80 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p0, s7, c_invalid)) | (~m_processor_v_state(c_p0, s7, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p0, s7, c_invalid)) | (~m_processor_v_state(c_p0, s7, c_shared)))),
% 50.17/32.80 inference(rewrite,[status(thm)],[])).
% 50.17/32.80 tff(14515,plain,
% 50.17/32.80 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p0, s7, c_invalid)) | (~m_processor_v_state(c_p0, s7, c_shared)))),
% 50.17/32.80 inference(quant_inst,[status(thm)],[])).
% 50.17/32.80 tff(14516,plain,
% 50.17/32.80 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p0, s7, c_invalid)) | (~m_processor_v_state(c_p0, s7, c_shared))),
% 50.17/32.80 inference(modus_ponens,[status(thm)],[14515, 14514])).
% 50.17/32.80 tff(14517,plain,
% 50.17/32.80 (~m_processor_v_state(c_p0, s7, c_shared)),
% 50.17/32.80 inference(unit_resolution,[status(thm)],[14516, 977, 14503])).
% 50.17/32.80 tff(14518,assumption,(node36(c_p0, s7)), introduced(assumption)).
% 50.17/32.80 tff(14519,plain,
% 50.17/32.80 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p0, s7, c_shared) | (~node36(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p0, s7, c_shared) | (~node36(c_p0, s7)))),
% 50.17/32.80 inference(rewrite,[status(thm)],[])).
% 50.17/32.80 tff(14520,plain,
% 50.17/32.80 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p0, s7, c_shared) | (~node36(c_p0, s7)))),
% 50.17/32.80 inference(quant_inst,[status(thm)],[])).
% 50.17/32.80 tff(14521,plain,
% 50.17/32.80 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p0, s7, c_shared) | (~node36(c_p0, s7))),
% 50.17/32.80 inference(modus_ponens,[status(thm)],[14520, 14519])).
% 50.17/32.80 tff(14522,plain,
% 50.17/32.80 ($false),
% 50.17/32.80 inference(unit_resolution,[status(thm)],[14521, 167, 2326, 14518])).
% 50.17/32.80 tff(14523,plain,((~node36(c_p0, s7)) | m_processor_v_state(c_p0, s7, c_shared)), inference(lemma,lemma(discharge,[]))).
% 50.17/32.80 tff(14524,plain,
% 50.17/32.80 (~node36(c_p0, s7)),
% 50.17/32.80 inference(unit_resolution,[status(thm)],[14523, 14517])).
% 50.17/32.80 tff(14525,assumption,(node37(c_p0, s7, s8)), introduced(assumption)).
% 50.17/32.80 tff(14526,plain,
% 50.17/32.80 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_state(c_p0, s8, c_invalid) | (~node37(c_p0, s7, s8)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_state(c_p0, s8, c_invalid) | (~node37(c_p0, s7, s8)))),
% 50.17/32.80 inference(rewrite,[status(thm)],[])).
% 50.17/32.80 tff(14527,plain,
% 50.17/32.80 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_state(c_p0, s8, c_invalid) | (~node37(c_p0, s7, s8)))),
% 50.17/32.80 inference(quant_inst,[status(thm)],[])).
% 50.17/32.80 tff(14528,plain,
% 50.17/32.80 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_state(c_p0, s8, c_invalid) | (~node37(c_p0, s7, s8))),
% 50.17/32.80 inference(modus_ponens,[status(thm)],[14527, 14526])).
% 50.17/32.80 tff(14529,plain,
% 50.17/32.80 ($false),
% 50.17/32.80 inference(unit_resolution,[status(thm)],[14528, 2411, 14503, 14525, 14438])).
% 50.17/32.80 tff(14530,plain,(m_processor_v_state(c_p0, s8, c_invalid) | (~m_processor_v_state(c_p0, s7, c_invalid)) | (~node37(c_p0, s7, s8))), inference(lemma,lemma(discharge,[]))).
% 50.17/32.80 tff(14531,plain,
% 50.17/32.80 (~node37(c_p0, s7, s8)),
% 50.17/32.80 inference(unit_resolution,[status(thm)],[14530, 14438, 14503])).
% 50.17/32.80 tff(14532,plain,
% 50.17/32.80 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s7) | m_processor_v_state(c_p0, s7, c_shared) | node36(c_p0, s7) | m_processor_v_abort(c_p0, s7) | node37(c_p0, s7, s8) | (~node38(c_p0, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s7) | m_processor_v_state(c_p0, s7, c_shared) | node36(c_p0, s7) | m_processor_v_abort(c_p0, s7) | node37(c_p0, s7, s8) | (~node38(c_p0, s7, s8)))),
% 50.17/32.80 inference(rewrite,[status(thm)],[])).
% 50.17/32.80 tff(14533,plain,
% 50.17/32.80 ((m_processor_v_state(c_p0, s7, c_shared) | node36(c_p0, s7) | m_processor_v_master(c_p0, s7) | node37(c_p0, s7, s8) | (~node38(c_p0, s7, s8)) | m_processor_v_abort(c_p0, s7)) <=> (m_processor_v_master(c_p0, s7) | m_processor_v_state(c_p0, s7, c_shared) | node36(c_p0, s7) | m_processor_v_abort(c_p0, s7) | node37(c_p0, s7, s8) | (~node38(c_p0, s7, s8)))),
% 50.17/32.80 inference(rewrite,[status(thm)],[])).
% 50.17/32.80 tff(14534,plain,
% 50.17/32.80 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s7, c_shared) | node36(c_p0, s7) | m_processor_v_master(c_p0, s7) | node37(c_p0, s7, s8) | (~node38(c_p0, s7, s8)) | m_processor_v_abort(c_p0, s7))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s7) | m_processor_v_state(c_p0, s7, c_shared) | node36(c_p0, s7) | m_processor_v_abort(c_p0, s7) | node37(c_p0, s7, s8) | (~node38(c_p0, s7, s8))))),
% 50.17/32.80 inference(monotonicity,[status(thm)],[14533])).
% 50.17/32.80 tff(14535,plain,
% 50.17/32.80 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s7, c_shared) | node36(c_p0, s7) | m_processor_v_master(c_p0, s7) | node37(c_p0, s7, s8) | (~node38(c_p0, s7, s8)) | m_processor_v_abort(c_p0, s7))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s7) | m_processor_v_state(c_p0, s7, c_shared) | node36(c_p0, s7) | m_processor_v_abort(c_p0, s7) | node37(c_p0, s7, s8) | (~node38(c_p0, s7, s8)))),
% 50.17/32.80 inference(transitivity,[status(thm)],[14534, 14532])).
% 50.17/32.80 tff(14536,plain,
% 50.17/32.80 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s7, c_shared) | node36(c_p0, s7) | m_processor_v_master(c_p0, s7) | node37(c_p0, s7, s8) | (~node38(c_p0, s7, s8)) | m_processor_v_abort(c_p0, s7))),
% 50.17/32.80 inference(quant_inst,[status(thm)],[])).
% 50.17/32.80 tff(14537,plain,
% 50.17/32.80 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s7) | m_processor_v_state(c_p0, s7, c_shared) | node36(c_p0, s7) | m_processor_v_abort(c_p0, s7) | node37(c_p0, s7, s8) | (~node38(c_p0, s7, s8))),
% 50.17/32.80 inference(modus_ponens,[status(thm)],[14536, 14535])).
% 50.17/32.80 tff(14538,plain,
% 50.17/32.80 (m_processor_v_master(c_p0, s7) | m_processor_v_state(c_p0, s7, c_shared) | node36(c_p0, s7) | m_processor_v_abort(c_p0, s7) | node37(c_p0, s7, s8)),
% 50.17/32.80 inference(unit_resolution,[status(thm)],[14537, 225, 14445])).
% 50.17/32.80 tff(14539,plain,
% 50.17/32.80 (m_processor_v_abort(c_p0, s7)),
% 50.17/32.80 inference(unit_resolution,[status(thm)],[14538, 14531, 55, 14517, 14524])).
% 50.17/32.80 tff(14540,plain,
% 50.17/32.80 ($false),
% 50.17/32.80 inference(unit_resolution,[status(thm)],[14492, 14539, 14513])).
% 50.17/32.80 tff(14541,plain,(m_processor_v_state(c_p0, s8, c_invalid) | m_processor_v_master(c_p0, s7) | (~m_processor_v_state(c_p0, s7, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 50.17/32.80 tff(14542,plain,
% 50.17/32.80 (~m_processor_v_state(c_p0, s7, c_invalid)),
% 50.17/32.80 inference(unit_resolution,[status(thm)],[14541, 55, 14430])).
% 50.17/32.80 tff(14543,plain,
% 50.17/32.80 ($false),
% 50.17/32.80 inference(unit_resolution,[status(thm)],[2473, 14542, 14502, 3])).
% 50.17/32.80 tff(14544,plain,(m_processor_v_master(c_p0, s7) | m_processor_v_state(c_p0, s7, c_owned) | (~m_processor_v_state(c_p0, s8, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.17/32.80 tff(14545,plain,
% 50.17/32.80 (m_processor_v_master(c_p0, s7)),
% 50.17/32.80 inference(unit_resolution,[status(thm)],[14544, 3, 14422])).
% 50.17/32.80 tff(14546,assumption,(~m_processor_v_waiting(c_p0, s8)), introduced(assumption)).
% 50.17/32.80 tff(14547,plain,
% 50.17/32.80 (~m_processor_v_state(c_p0, s7, c_invalid)),
% 50.17/32.80 inference(unit_resolution,[status(thm)],[14512, 14504, 14438])).
% 50.17/32.80 tff(14548,plain,
% 50.17/32.80 (m_processor_v_state(c_p0, s7, c_shared)),
% 50.17/32.80 inference(unit_resolution,[status(thm)],[2473, 14547, 3])).
% 50.17/32.80 tff(14549,plain,
% 50.17/32.80 ($false),
% 50.17/32.80 inference(unit_resolution,[status(thm)],[14499, 380, 14548, 14468, 14504])).
% 50.17/32.80 tff(14550,plain,((~node32(c_p0, s7, s8)) | m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_state(c_p0, s7, c_owned) | m_processor_v_state(c_p0, s8, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.17/32.80 tff(14551,plain,
% 50.17/32.80 (m_processor_v_state(c_p0, s8, c_shared)),
% 50.17/32.80 inference(unit_resolution,[status(thm)],[14550, 14430, 14504, 3])).
% 50.17/32.80 tff(14552,plain,
% 50.17/32.80 ($false),
% 50.17/32.80 inference(unit_resolution,[status(thm)],[14436, 121, 14422, 14551])).
% 50.17/32.80 tff(14553,plain,((~m_processor_v_state(c_p0, s8, c_owned)) | (~node32(c_p0, s7, s8)) | m_processor_v_state(c_p0, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.17/32.80 tff(14554,plain,
% 50.17/32.80 (~node32(c_p0, s7, s8)),
% 50.17/32.80 inference(unit_resolution,[status(thm)],[14553, 3, 14422])).
% 50.17/32.80 tff(14555,plain,
% 50.17/32.80 (~m_processor_v_abort(c_p0, s7)),
% 50.17/32.80 inference(unit_resolution,[status(thm)],[14492, 14554])).
% 50.17/32.80 tff(14556,plain,
% 50.17/32.80 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s7, s8)) | node53(c_p0, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s7, s8)) | node53(c_p0, s7, s8))),
% 50.17/32.80 inference(rewrite,[status(thm)],[])).
% 50.17/32.80 tff(14557,plain,
% 50.17/32.80 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s7, s8)) | node53(c_p0, s7, s8))),
% 50.17/32.80 inference(quant_inst,[status(thm)],[])).
% 50.17/32.80 tff(14558,plain,
% 50.17/32.80 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s7, s8)) | node53(c_p0, s7, s8)),
% 50.17/32.80 inference(modus_ponens,[status(thm)],[14557, 14556])).
% 50.17/32.80 tff(14559,plain,
% 50.17/32.80 (node53(c_p0, s7, s8)),
% 50.17/32.80 inference(unit_resolution,[status(thm)],[14558, 575, 13037])).
% 50.17/32.80 tff(14560,plain,
% 50.17/32.80 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)) | m_processor_v_waiting(c_p0, s8) | (~node53(c_p0, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)) | m_processor_v_waiting(c_p0, s8) | (~node53(c_p0, s7, s8)))),
% 50.17/32.80 inference(rewrite,[status(thm)],[])).
% 50.17/32.80 tff(14561,plain,
% 50.17/32.80 ((m_processor_v_waiting(c_p0, s8) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)) | (~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | (~node53(c_p0, s7, s8))) <=> ((~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)) | m_processor_v_waiting(c_p0, s8) | (~node53(c_p0, s7, s8)))),
% 50.17/32.80 inference(rewrite,[status(thm)],[])).
% 50.17/32.80 tff(14562,plain,
% 50.17/32.80 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s8) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)) | (~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | (~node53(c_p0, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)) | m_processor_v_waiting(c_p0, s8) | (~node53(c_p0, s7, s8))))),
% 50.17/32.80 inference(monotonicity,[status(thm)],[14561])).
% 50.17/32.80 tff(14563,plain,
% 50.17/32.80 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s8) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)) | (~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | (~node53(c_p0, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)) | m_processor_v_waiting(c_p0, s8) | (~node53(c_p0, s7, s8)))),
% 50.17/32.80 inference(transitivity,[status(thm)],[14562, 14560])).
% 50.17/32.80 tff(14564,plain,
% 50.17/32.80 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s8) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)) | (~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | (~node53(c_p0, s7, s8)))),
% 50.17/32.80 inference(quant_inst,[status(thm)],[])).
% 50.17/32.80 tff(14565,plain,
% 50.17/32.80 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)) | m_processor_v_waiting(c_p0, s8) | (~node53(c_p0, s7, s8))),
% 50.17/32.81 inference(modus_ponens,[status(thm)],[14564, 14563])).
% 50.17/32.81 tff(14566,plain,
% 50.17/32.81 ((~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)) | m_processor_v_waiting(c_p0, s8)),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[14565, 589, 14559])).
% 50.17/32.81 tff(14567,plain,
% 50.17/32.81 (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[14566, 14555, 14545, 14546])).
% 50.17/32.81 tff(14568,assumption,(~m_processor_v_CMD(c_p0, s7, c_read_h_shared)), introduced(assumption)).
% 50.17/32.81 tff(14569,assumption,(~node2(s7)), introduced(assumption)).
% 50.17/32.81 tff(14570,plain,
% 50.17/32.81 ((~![X: $i] : node2(X)) | node2(s7)),
% 50.17/32.81 inference(quant_inst,[status(thm)],[])).
% 50.17/32.81 tff(14571,plain,
% 50.17/32.81 ($false),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[14570, 1215, 14569])).
% 50.17/32.81 tff(14572,plain,(node2(s7)), inference(lemma,lemma(discharge,[]))).
% 50.17/32.81 tff(14573,plain,
% 50.17/32.81 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s7, c_read_h_shared) | (~m_main_v_CMD(s7, c_read_h_shared)) | (~node2(s7)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | (~m_main_v_CMD(s7, c_read_h_shared)) | (~node2(s7)))),
% 50.17/32.81 inference(rewrite,[status(thm)],[])).
% 50.17/32.81 tff(14574,plain,
% 50.17/32.81 (((~m_main_v_CMD(s7, c_read_h_shared)) | (~node2(s7)) | m_processor_v_CMD(c_p0, s7, c_read_h_shared)) <=> (m_processor_v_CMD(c_p0, s7, c_read_h_shared) | (~m_main_v_CMD(s7, c_read_h_shared)) | (~node2(s7)))),
% 50.17/32.81 inference(rewrite,[status(thm)],[])).
% 50.17/32.81 tff(14575,plain,
% 50.17/32.81 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_read_h_shared)) | (~node2(s7)) | m_processor_v_CMD(c_p0, s7, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s7, c_read_h_shared) | (~m_main_v_CMD(s7, c_read_h_shared)) | (~node2(s7))))),
% 50.17/32.81 inference(monotonicity,[status(thm)],[14574])).
% 50.17/32.81 tff(14576,plain,
% 50.17/32.81 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_read_h_shared)) | (~node2(s7)) | m_processor_v_CMD(c_p0, s7, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | (~m_main_v_CMD(s7, c_read_h_shared)) | (~node2(s7)))),
% 50.17/32.81 inference(transitivity,[status(thm)],[14575, 14573])).
% 50.17/32.81 tff(14577,plain,
% 50.17/32.81 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_read_h_shared)) | (~node2(s7)) | m_processor_v_CMD(c_p0, s7, c_read_h_shared))),
% 50.17/32.81 inference(quant_inst,[status(thm)],[])).
% 50.17/32.81 tff(14578,plain,
% 50.17/32.81 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | (~m_main_v_CMD(s7, c_read_h_shared)) | (~node2(s7))),
% 50.17/32.81 inference(modus_ponens,[status(thm)],[14577, 14576])).
% 50.17/32.81 tff(14579,plain,
% 50.17/32.81 ($false),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[14578, 1228, 14572, 13174, 14568])).
% 50.17/32.81 tff(14580,plain,(m_processor_v_CMD(c_p0, s7, c_read_h_shared) | (~m_main_v_CMD(s7, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 50.17/32.81 tff(14581,plain,
% 50.17/32.81 (~m_main_v_CMD(s7, c_read_h_shared)),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[14580, 14567])).
% 50.17/32.81 tff(14582,plain,
% 50.17/32.81 (~m_processor_v_master(c_p1, s7)),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[13229, 794, 14545])).
% 50.17/32.81 tff(14583,assumption,(~m_processor_v_cmd(c_p1, s7, c_idle)), introduced(assumption)).
% 50.17/32.81 tff(14584,assumption,(~node64(c_p1, s7)), introduced(assumption)).
% 50.17/32.81 tff(14585,plain,
% 50.17/32.81 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p1, s7) | (~node66(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p1, s7) | (~node66(c_p1, s7)))),
% 50.17/32.81 inference(rewrite,[status(thm)],[])).
% 50.17/32.81 tff(14586,plain,
% 50.17/32.81 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p1, s7) | (~node66(c_p1, s7)))),
% 50.17/32.81 inference(quant_inst,[status(thm)],[])).
% 50.17/32.81 tff(14587,plain,
% 50.17/32.81 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p1, s7) | (~node66(c_p1, s7))),
% 50.17/32.81 inference(modus_ponens,[status(thm)],[14586, 14585])).
% 50.17/32.81 tff(14588,plain,
% 50.17/32.81 (~node66(c_p1, s7)),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[14587, 1446, 13051])).
% 50.17/32.81 tff(14589,plain,
% 50.17/32.81 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p1, s7) | (~node65(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p1, s7) | (~node65(c_p1, s7)))),
% 50.17/32.81 inference(rewrite,[status(thm)],[])).
% 50.17/32.81 tff(14590,plain,
% 50.17/32.81 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p1, s7) | (~node65(c_p1, s7)))),
% 50.17/32.81 inference(quant_inst,[status(thm)],[])).
% 50.17/32.81 tff(14591,plain,
% 50.17/32.81 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p1, s7) | (~node65(c_p1, s7))),
% 50.17/32.81 inference(modus_ponens,[status(thm)],[14590, 14589])).
% 50.17/32.81 tff(14592,plain,
% 50.17/32.81 (~node65(c_p1, s7)),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[14591, 1457, 13051])).
% 50.17/32.81 tff(14593,plain,
% 50.17/32.81 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p1, s7) | (~node63(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p1, s7) | (~node63(c_p1, s7)))),
% 50.17/32.81 inference(rewrite,[status(thm)],[])).
% 50.17/32.81 tff(14594,plain,
% 50.17/32.81 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p1, s7) | (~node63(c_p1, s7)))),
% 50.17/32.81 inference(quant_inst,[status(thm)],[])).
% 50.17/32.81 tff(14595,plain,
% 50.17/32.81 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p1, s7) | (~node63(c_p1, s7))),
% 50.17/32.81 inference(modus_ponens,[status(thm)],[14594, 14593])).
% 50.17/32.81 tff(14596,plain,
% 50.17/32.81 (~node63(c_p1, s7)),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[14595, 1469, 13051])).
% 50.17/32.81 tff(14597,plain,
% 50.17/32.81 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p1, s7) | (~node62(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p1, s7) | (~node62(c_p1, s7)))),
% 50.17/32.81 inference(rewrite,[status(thm)],[])).
% 50.17/32.81 tff(14598,plain,
% 50.17/32.81 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p1, s7) | (~node62(c_p1, s7)))),
% 50.17/32.81 inference(quant_inst,[status(thm)],[])).
% 50.17/32.81 tff(14599,plain,
% 50.17/32.81 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p1, s7) | (~node62(c_p1, s7))),
% 50.17/32.81 inference(modus_ponens,[status(thm)],[14598, 14597])).
% 50.17/32.81 tff(14600,plain,
% 50.17/32.81 (~node62(c_p1, s7)),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[14599, 1493, 13051])).
% 50.17/32.81 tff(14601,assumption,(~node65(c_p1, s7)), introduced(assumption)).
% 50.17/32.81 tff(14602,assumption,(~node66(c_p1, s7)), introduced(assumption)).
% 50.17/32.81 tff(14603,plain,
% 50.17/32.81 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node63(c_p1, s7) | node62(c_p1, s7) | node64(c_p1, s7) | node65(c_p1, s7) | m_processor_v_cmd(c_p1, s7, c_idle) | node66(c_p1, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node63(c_p1, s7) | node62(c_p1, s7) | node64(c_p1, s7) | node65(c_p1, s7) | m_processor_v_cmd(c_p1, s7, c_idle) | node66(c_p1, s7))),
% 50.17/32.81 inference(rewrite,[status(thm)],[])).
% 50.17/32.81 tff(14604,plain,
% 50.17/32.81 ((m_processor_v_cmd(c_p1, s7, c_idle) | node62(c_p1, s7) | node63(c_p1, s7) | node64(c_p1, s7) | node65(c_p1, s7) | node66(c_p1, s7)) <=> (node63(c_p1, s7) | node62(c_p1, s7) | node64(c_p1, s7) | node65(c_p1, s7) | m_processor_v_cmd(c_p1, s7, c_idle) | node66(c_p1, s7))),
% 50.17/32.81 inference(rewrite,[status(thm)],[])).
% 50.17/32.81 tff(14605,plain,
% 50.17/32.81 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s7, c_idle) | node62(c_p1, s7) | node63(c_p1, s7) | node64(c_p1, s7) | node65(c_p1, s7) | node66(c_p1, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node63(c_p1, s7) | node62(c_p1, s7) | node64(c_p1, s7) | node65(c_p1, s7) | m_processor_v_cmd(c_p1, s7, c_idle) | node66(c_p1, s7)))),
% 50.17/32.81 inference(monotonicity,[status(thm)],[14604])).
% 50.17/32.81 tff(14606,plain,
% 50.17/32.81 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s7, c_idle) | node62(c_p1, s7) | node63(c_p1, s7) | node64(c_p1, s7) | node65(c_p1, s7) | node66(c_p1, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node63(c_p1, s7) | node62(c_p1, s7) | node64(c_p1, s7) | node65(c_p1, s7) | m_processor_v_cmd(c_p1, s7, c_idle) | node66(c_p1, s7))),
% 50.17/32.81 inference(transitivity,[status(thm)],[14605, 14603])).
% 50.17/32.81 tff(14607,plain,
% 50.17/32.81 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s7, c_idle) | node62(c_p1, s7) | node63(c_p1, s7) | node64(c_p1, s7) | node65(c_p1, s7) | node66(c_p1, s7))),
% 50.17/32.81 inference(quant_inst,[status(thm)],[])).
% 50.17/32.81 tff(14608,plain,
% 50.17/32.81 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node63(c_p1, s7) | node62(c_p1, s7) | node64(c_p1, s7) | node65(c_p1, s7) | m_processor_v_cmd(c_p1, s7, c_idle) | node66(c_p1, s7)),
% 50.17/32.81 inference(modus_ponens,[status(thm)],[14607, 14606])).
% 50.17/32.81 tff(14609,plain,
% 50.17/32.81 (node63(c_p1, s7) | node62(c_p1, s7) | m_processor_v_cmd(c_p1, s7, c_idle)),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[14608, 1508, 14584, 14602, 14601])).
% 50.17/32.81 tff(14610,plain,
% 50.17/32.81 ($false),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[14609, 14600, 14596, 14583])).
% 50.17/32.81 tff(14611,plain,(m_processor_v_master(c_p1, s7) | m_processor_v_cmd(c_p1, s7, c_idle) | node64(c_p1, s7) | node66(c_p1, s7) | node65(c_p1, s7)), inference(lemma,lemma(discharge,[]))).
% 50.17/32.81 tff(14612,plain,
% 50.17/32.81 ($false),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[14611, 14592, 14588, 14584, 13051, 14583])).
% 50.17/32.81 tff(14613,plain,(m_processor_v_master(c_p1, s7) | node64(c_p1, s7) | m_processor_v_cmd(c_p1, s7, c_idle)), inference(lemma,lemma(discharge,[]))).
% 50.17/32.81 tff(14614,plain,
% 50.17/32.81 (node64(c_p1, s7)),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[14613, 13051, 14583])).
% 50.17/32.81 tff(14615,plain,
% 50.17/32.81 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p1, s7) | (~node64(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p1, s7) | (~node64(c_p1, s7)))),
% 50.17/32.81 inference(rewrite,[status(thm)],[])).
% 50.17/32.81 tff(14616,plain,
% 50.17/32.81 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p1, s7) | (~node64(c_p1, s7)))),
% 50.17/32.81 inference(quant_inst,[status(thm)],[])).
% 50.17/32.81 tff(14617,plain,
% 50.17/32.81 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p1, s7) | (~node64(c_p1, s7))),
% 50.17/32.81 inference(modus_ponens,[status(thm)],[14616, 14615])).
% 50.17/32.81 tff(14618,plain,
% 50.17/32.81 ($false),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[14617, 1482, 14614, 13051])).
% 50.17/32.81 tff(14619,plain,(m_processor_v_master(c_p1, s7) | m_processor_v_cmd(c_p1, s7, c_idle)), inference(lemma,lemma(discharge,[]))).
% 50.17/32.81 tff(14620,plain,
% 50.17/32.81 (m_processor_v_cmd(c_p1, s7, c_idle)),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[14619, 14582])).
% 50.17/32.81 tff(14621,assumption,(m_processor_v_master(c_p0, s7)), introduced(assumption)).
% 50.17/32.81 tff(14622,plain,
% 50.17/32.81 (((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | ((~node16(s7)) | (~m_processor_v_master(c_p0, s7)))) <=> ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | (~node16(s7)) | (~m_processor_v_master(c_p0, s7)))),
% 50.17/32.81 inference(rewrite,[status(thm)],[])).
% 50.17/32.81 tff(14623,plain,
% 50.17/32.81 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | ((~node16(s7)) | (~m_processor_v_master(c_p0, s7)))),
% 50.17/32.81 inference(quant_inst,[status(thm)],[])).
% 50.17/32.81 tff(14624,plain,
% 50.17/32.81 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | (~node16(s7)) | (~m_processor_v_master(c_p0, s7))),
% 50.17/32.81 inference(modus_ponens,[status(thm)],[14623, 14622])).
% 50.17/32.81 tff(14625,plain,
% 50.17/32.81 (~node16(s7)),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[14624, 1530, 14621])).
% 50.17/32.81 tff(14626,assumption,(~node8(s7)), introduced(assumption)).
% 50.17/32.81 tff(14627,plain,
% 50.17/32.81 (((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p0, s7)) | (~node17(s7)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | (~m_processor_v_master(c_p0, s7)) | (~node17(s7)))),
% 50.17/32.81 inference(rewrite,[status(thm)],[])).
% 50.17/32.81 tff(14628,plain,
% 50.17/32.81 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p0, s7)) | (~node17(s7)))),
% 50.17/32.81 inference(quant_inst,[status(thm)],[])).
% 50.17/32.81 tff(14629,plain,
% 50.17/32.81 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | (~m_processor_v_master(c_p0, s7)) | (~node17(s7))),
% 50.17/32.81 inference(modus_ponens,[status(thm)],[14628, 14627])).
% 50.17/32.81 tff(14630,plain,
% 50.17/32.81 ($false),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[14629, 1275, 14621, 13196])).
% 50.17/32.81 tff(14631,plain,((~m_processor_v_master(c_p0, s7)) | (~node17(s7))), inference(lemma,lemma(discharge,[]))).
% 50.17/32.81 tff(14632,plain,
% 50.17/32.81 (~node17(s7)),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[14631, 14621])).
% 50.17/32.81 tff(14633,plain,
% 50.17/32.81 (~m_memory_v_master(c_m, s7)),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[13209, 14632])).
% 50.17/32.81 tff(14634,plain,
% 50.17/32.81 (~node29(c_m, s7)),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[13217, 14633])).
% 50.17/32.81 tff(14635,plain,
% 50.17/32.81 (m_memory_v_cmd(c_m, s7, c_idle)),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[13225, 14634])).
% 50.17/32.81 tff(14636,assumption,(m_processor_v_cmd(c_p1, s7, c_idle)), introduced(assumption)).
% 50.17/32.81 tff(14637,plain,
% 50.17/32.81 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | ((~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_memory_v_cmd(c_m, s7, c_idle)) | node8(s7))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_memory_v_cmd(c_m, s7, c_idle)) | node8(s7))),
% 50.17/32.81 inference(rewrite,[status(thm)],[])).
% 50.17/32.81 tff(14638,plain,
% 50.17/32.81 ((node8(s7) | (~m_memory_v_cmd(c_m, s7, c_idle)) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_idle))) <=> ((~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_memory_v_cmd(c_m, s7, c_idle)) | node8(s7))),
% 50.17/32.81 inference(rewrite,[status(thm)],[])).
% 50.17/32.81 tff(14639,plain,
% 50.17/32.81 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s7) | (~m_memory_v_cmd(c_m, s7, c_idle)) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_idle)))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | ((~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_memory_v_cmd(c_m, s7, c_idle)) | node8(s7)))),
% 50.17/32.81 inference(monotonicity,[status(thm)],[14638])).
% 50.17/32.81 tff(14640,plain,
% 50.17/32.81 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s7) | (~m_memory_v_cmd(c_m, s7, c_idle)) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_idle)))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_memory_v_cmd(c_m, s7, c_idle)) | node8(s7))),
% 50.17/32.81 inference(transitivity,[status(thm)],[14639, 14637])).
% 50.17/32.81 tff(14641,plain,
% 50.17/32.81 ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s7) | (~m_memory_v_cmd(c_m, s7, c_idle)) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_idle)))),
% 50.17/32.81 inference(quant_inst,[status(thm)],[])).
% 50.17/32.81 tff(14642,plain,
% 50.17/32.81 ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_memory_v_cmd(c_m, s7, c_idle)) | node8(s7)),
% 50.17/32.81 inference(modus_ponens,[status(thm)],[14641, 14640])).
% 50.17/32.81 tff(14643,plain,
% 50.17/32.81 ((~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_memory_v_cmd(c_m, s7, c_idle)) | node8(s7)),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[14642, 1593, 14636])).
% 50.17/32.81 tff(14644,plain,
% 50.17/32.81 (~m_processor_v_cmd(c_p2, s7, c_idle)),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[14643, 14635, 14626])).
% 50.17/32.81 tff(14645,plain,
% 50.17/32.81 (m_processor_v_master(c_p2, s7)),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[13368, 14644])).
% 50.17/32.81 tff(14646,plain,
% 50.17/32.81 ($false),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[13372, 1545, 14645, 14625])).
% 50.17/32.81 tff(14647,plain,((~m_processor_v_master(c_p0, s7)) | node8(s7) | (~m_processor_v_cmd(c_p1, s7, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.17/32.81 tff(14648,plain,
% 50.17/32.81 (node8(s7)),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[14647, 14620, 14545])).
% 50.17/32.81 tff(14649,assumption,(node8(s7)), introduced(assumption)).
% 50.17/32.81 tff(14650,assumption,(m_processor_v_cmd(c_p0, s7, c_read_h_shared)), introduced(assumption)).
% 50.17/32.81 tff(14651,plain,
% 50.17/32.81 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_shared)) | m_main_v_CMD(s7, c_read_h_shared))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_shared)) | m_main_v_CMD(s7, c_read_h_shared))),
% 50.17/32.81 inference(rewrite,[status(thm)],[])).
% 50.17/32.81 tff(14652,plain,
% 50.17/32.81 ((m_main_v_CMD(s7, c_read_h_shared) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_shared))) <=> ((~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_shared)) | m_main_v_CMD(s7, c_read_h_shared))),
% 50.17/32.81 inference(rewrite,[status(thm)],[])).
% 50.17/32.81 tff(14653,plain,
% 50.17/32.81 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s7, c_read_h_shared) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_shared)) | m_main_v_CMD(s7, c_read_h_shared)))),
% 50.17/32.81 inference(monotonicity,[status(thm)],[14652])).
% 50.17/32.81 tff(14654,plain,
% 50.17/32.81 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s7, c_read_h_shared) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_shared)) | m_main_v_CMD(s7, c_read_h_shared))),
% 50.17/32.81 inference(transitivity,[status(thm)],[14653, 14651])).
% 50.17/32.81 tff(14655,plain,
% 50.17/32.81 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s7, c_read_h_shared) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_shared)))),
% 50.17/32.81 inference(quant_inst,[status(thm)],[])).
% 50.17/32.81 tff(14656,plain,
% 50.17/32.81 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_shared)) | m_main_v_CMD(s7, c_read_h_shared)),
% 50.17/32.81 inference(modus_ponens,[status(thm)],[14655, 14654])).
% 50.17/32.81 tff(14657,plain,
% 50.17/32.81 ($false),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[14656, 1669, 13194, 14650, 14649])).
% 50.17/32.81 tff(14658,plain,((~m_processor_v_cmd(c_p0, s7, c_read_h_shared)) | m_main_v_CMD(s7, c_read_h_shared) | (~node8(s7))), inference(lemma,lemma(discharge,[]))).
% 50.17/32.81 tff(14659,plain,
% 50.17/32.81 (~m_processor_v_cmd(c_p0, s7, c_read_h_shared)),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[14658, 14648, 14581])).
% 50.17/32.81 tff(14660,plain,
% 50.17/32.81 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p0, s7, c_read_h_shared) | (~node47(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | (~node47(c_p0, s7)))),
% 50.17/32.81 inference(rewrite,[status(thm)],[])).
% 50.17/32.81 tff(14661,plain,
% 50.17/32.81 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p0, s7, c_read_h_shared) | (~node47(c_p0, s7)))),
% 50.17/32.81 inference(quant_inst,[status(thm)],[])).
% 50.17/32.81 tff(14662,plain,
% 50.17/32.81 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | (~node47(c_p0, s7))),
% 50.17/32.81 inference(modus_ponens,[status(thm)],[14661, 14660])).
% 50.17/32.81 tff(14663,plain,
% 50.17/32.81 (~node47(c_p0, s7)),
% 50.17/32.81 inference(unit_resolution,[status(thm)],[14662, 657, 14567])).
% 50.17/32.81 tff(14664,plain,
% 50.17/32.81 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | node47(c_p0, s7) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)) | m_processor_v_waiting(c_p0, s8) | (~node53(c_p0, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | node47(c_p0, s7) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)) | m_processor_v_waiting(c_p0, s8) | (~node53(c_p0, s7, s8)))),
% 50.17/32.81 inference(rewrite,[status(thm)],[])).
% 50.17/32.81 tff(14665,plain,
% 50.17/32.81 ((m_processor_v_waiting(c_p0, s8) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)) | (~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | node47(c_p0, s7) | (~node53(c_p0, s7, s8))) <=> ((~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | node47(c_p0, s7) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)) | m_processor_v_waiting(c_p0, s8) | (~node53(c_p0, s7, s8)))),
% 50.17/32.81 inference(rewrite,[status(thm)],[])).
% 50.17/32.81 tff(14666,plain,
% 50.17/32.81 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s8) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)) | (~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | node47(c_p0, s7) | (~node53(c_p0, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | node47(c_p0, s7) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)) | m_processor_v_waiting(c_p0, s8) | (~node53(c_p0, s7, s8))))),
% 50.17/32.81 inference(monotonicity,[status(thm)],[14665])).
% 50.17/32.81 tff(14667,plain,
% 50.17/32.81 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s8) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)) | (~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | node47(c_p0, s7) | (~node53(c_p0, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | node47(c_p0, s7) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)) | m_processor_v_waiting(c_p0, s8) | (~node53(c_p0, s7, s8)))),
% 50.17/32.82 inference(transitivity,[status(thm)],[14666, 14664])).
% 50.17/32.82 tff(14668,plain,
% 50.17/32.82 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s8) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)) | (~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | node47(c_p0, s7) | (~node53(c_p0, s7, s8)))),
% 50.17/32.82 inference(quant_inst,[status(thm)],[])).
% 50.17/32.82 tff(14669,plain,
% 50.17/32.82 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | node47(c_p0, s7) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)) | m_processor_v_waiting(c_p0, s8) | (~node53(c_p0, s7, s8))),
% 50.17/32.82 inference(modus_ponens,[status(thm)],[14668, 14667])).
% 50.17/32.82 tff(14670,plain,
% 50.17/32.82 ((~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | node47(c_p0, s7) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)) | m_processor_v_waiting(c_p0, s8)),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[14669, 640, 14559])).
% 50.17/32.82 tff(14671,plain,
% 50.17/32.82 (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[14670, 14663, 14545, 14546, 14555])).
% 50.17/32.82 tff(14672,assumption,(~m_processor_v_CMD(c_p0, s7, c_read_h_owned)), introduced(assumption)).
% 50.17/32.82 tff(14673,plain,
% 50.17/32.82 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s7, c_read_h_owned) | (~m_main_v_CMD(s7, c_read_h_owned)) | (~node2(s7)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | (~m_main_v_CMD(s7, c_read_h_owned)) | (~node2(s7)))),
% 50.17/32.82 inference(rewrite,[status(thm)],[])).
% 50.17/32.82 tff(14674,plain,
% 50.17/32.82 (((~m_main_v_CMD(s7, c_read_h_owned)) | (~node2(s7)) | m_processor_v_CMD(c_p0, s7, c_read_h_owned)) <=> (m_processor_v_CMD(c_p0, s7, c_read_h_owned) | (~m_main_v_CMD(s7, c_read_h_owned)) | (~node2(s7)))),
% 50.17/32.82 inference(rewrite,[status(thm)],[])).
% 50.17/32.82 tff(14675,plain,
% 50.17/32.82 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_read_h_owned)) | (~node2(s7)) | m_processor_v_CMD(c_p0, s7, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s7, c_read_h_owned) | (~m_main_v_CMD(s7, c_read_h_owned)) | (~node2(s7))))),
% 50.17/32.82 inference(monotonicity,[status(thm)],[14674])).
% 50.17/32.82 tff(14676,plain,
% 50.17/32.82 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_read_h_owned)) | (~node2(s7)) | m_processor_v_CMD(c_p0, s7, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | (~m_main_v_CMD(s7, c_read_h_owned)) | (~node2(s7)))),
% 50.17/32.82 inference(transitivity,[status(thm)],[14675, 14673])).
% 50.17/32.82 tff(14677,plain,
% 50.17/32.82 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_read_h_owned)) | (~node2(s7)) | m_processor_v_CMD(c_p0, s7, c_read_h_owned))),
% 50.17/32.82 inference(quant_inst,[status(thm)],[])).
% 50.17/32.82 tff(14678,plain,
% 50.17/32.82 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | (~m_main_v_CMD(s7, c_read_h_owned)) | (~node2(s7))),
% 50.17/32.82 inference(modus_ponens,[status(thm)],[14677, 14676])).
% 50.17/32.82 tff(14679,plain,
% 50.17/32.82 ($false),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[14678, 1228, 14572, 13377, 14672])).
% 50.17/32.82 tff(14680,plain,(m_processor_v_CMD(c_p0, s7, c_read_h_owned) | (~m_main_v_CMD(s7, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 50.17/32.82 tff(14681,plain,
% 50.17/32.82 (~m_main_v_CMD(s7, c_read_h_owned)),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[14680, 14671])).
% 50.17/32.82 tff(14682,assumption,(m_processor_v_cmd(c_p0, s7, c_read_h_owned)), introduced(assumption)).
% 50.17/32.82 tff(14683,plain,
% 50.17/32.82 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_owned)) | m_main_v_CMD(s7, c_read_h_owned))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_owned)) | m_main_v_CMD(s7, c_read_h_owned))),
% 50.17/32.82 inference(rewrite,[status(thm)],[])).
% 50.17/32.82 tff(14684,plain,
% 50.17/32.82 ((m_main_v_CMD(s7, c_read_h_owned) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_owned))) <=> ((~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_owned)) | m_main_v_CMD(s7, c_read_h_owned))),
% 50.17/32.82 inference(rewrite,[status(thm)],[])).
% 50.17/32.82 tff(14685,plain,
% 50.17/32.82 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s7, c_read_h_owned) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_owned)) | m_main_v_CMD(s7, c_read_h_owned)))),
% 50.17/32.82 inference(monotonicity,[status(thm)],[14684])).
% 50.17/32.82 tff(14686,plain,
% 50.17/32.82 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s7, c_read_h_owned) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_owned)) | m_main_v_CMD(s7, c_read_h_owned))),
% 50.17/32.82 inference(transitivity,[status(thm)],[14685, 14683])).
% 50.17/32.82 tff(14687,plain,
% 50.17/32.82 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s7, c_read_h_owned) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_owned)))),
% 50.17/32.82 inference(quant_inst,[status(thm)],[])).
% 50.17/32.82 tff(14688,plain,
% 50.17/32.82 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_owned)) | m_main_v_CMD(s7, c_read_h_owned)),
% 50.17/32.82 inference(modus_ponens,[status(thm)],[14687, 14686])).
% 50.17/32.82 tff(14689,plain,
% 50.17/32.82 ($false),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[14688, 1669, 13193, 14649, 14682])).
% 50.17/32.82 tff(14690,plain,((~m_processor_v_cmd(c_p0, s7, c_read_h_owned)) | m_main_v_CMD(s7, c_read_h_owned) | (~node8(s7))), inference(lemma,lemma(discharge,[]))).
% 50.17/32.82 tff(14691,plain,
% 50.17/32.82 (~m_processor_v_cmd(c_p0, s7, c_read_h_owned)),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[14690, 14648, 14681])).
% 50.17/32.82 tff(14692,assumption,(~m_processor_v_cmd(c_p0, s7, c_read_h_owned)), introduced(assumption)).
% 50.17/32.82 tff(14693,assumption,(~m_processor_v_cmd(c_p0, s7, c_read_h_shared)), introduced(assumption)).
% 50.17/32.82 tff(14694,plain,
% 50.17/32.82 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p0, s7)) | (~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_cmd(c_p0, s7, c_read_h_owned) | m_processor_v_cmd(c_p0, s7, c_read_h_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p0, s7)) | (~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_cmd(c_p0, s7, c_read_h_owned) | m_processor_v_cmd(c_p0, s7, c_read_h_shared))),
% 50.17/32.82 inference(rewrite,[status(thm)],[])).
% 50.17/32.82 tff(14695,plain,
% 50.17/32.82 ((m_processor_v_cmd(c_p0, s7, c_read_h_owned) | m_processor_v_cmd(c_p0, s7, c_read_h_shared) | (~m_processor_v_state(c_p0, s7, c_invalid)) | (~m_processor_v_master(c_p0, s7))) <=> ((~m_processor_v_master(c_p0, s7)) | (~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_cmd(c_p0, s7, c_read_h_owned) | m_processor_v_cmd(c_p0, s7, c_read_h_shared))),
% 50.17/32.82 inference(rewrite,[status(thm)],[])).
% 50.17/32.82 tff(14696,plain,
% 50.17/32.82 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s7, c_read_h_owned) | m_processor_v_cmd(c_p0, s7, c_read_h_shared) | (~m_processor_v_state(c_p0, s7, c_invalid)) | (~m_processor_v_master(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p0, s7)) | (~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_cmd(c_p0, s7, c_read_h_owned) | m_processor_v_cmd(c_p0, s7, c_read_h_shared)))),
% 50.17/32.82 inference(monotonicity,[status(thm)],[14695])).
% 50.17/32.82 tff(14697,plain,
% 50.17/32.82 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s7, c_read_h_owned) | m_processor_v_cmd(c_p0, s7, c_read_h_shared) | (~m_processor_v_state(c_p0, s7, c_invalid)) | (~m_processor_v_master(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p0, s7)) | (~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_cmd(c_p0, s7, c_read_h_owned) | m_processor_v_cmd(c_p0, s7, c_read_h_shared))),
% 50.17/32.82 inference(transitivity,[status(thm)],[14696, 14694])).
% 50.17/32.82 tff(14698,plain,
% 50.17/32.82 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s7, c_read_h_owned) | m_processor_v_cmd(c_p0, s7, c_read_h_shared) | (~m_processor_v_state(c_p0, s7, c_invalid)) | (~m_processor_v_master(c_p0, s7)))),
% 50.17/32.82 inference(quant_inst,[status(thm)],[])).
% 50.17/32.82 tff(14699,plain,
% 50.17/32.82 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p0, s7)) | (~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_cmd(c_p0, s7, c_read_h_owned) | m_processor_v_cmd(c_p0, s7, c_read_h_shared)),
% 50.17/32.82 inference(modus_ponens,[status(thm)],[14698, 14697])).
% 50.17/32.82 tff(14700,plain,
% 50.17/32.82 ((~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_cmd(c_p0, s7, c_read_h_owned) | m_processor_v_cmd(c_p0, s7, c_read_h_shared)),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[14699, 1835, 14621])).
% 50.17/32.82 tff(14701,plain,
% 50.17/32.82 (~m_processor_v_state(c_p0, s7, c_invalid)),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[14700, 14692, 14693])).
% 50.17/32.82 tff(14702,plain,
% 50.17/32.82 (m_processor_v_state(c_p0, s7, c_shared)),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[2473, 14701, 3])).
% 50.17/32.82 tff(14703,plain,
% 50.17/32.82 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | ((~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | (~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_cmd(c_p0, s7, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | (~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_cmd(c_p0, s7, c_read_h_owned))),
% 50.17/32.82 inference(rewrite,[status(thm)],[])).
% 50.17/32.82 tff(14704,plain,
% 50.17/32.82 ((m_processor_v_cmd(c_p0, s7, c_read_h_owned) | (~m_processor_v_state(c_p0, s7, c_shared)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7)) <=> ((~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | (~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_cmd(c_p0, s7, c_read_h_owned))),
% 50.17/32.82 inference(rewrite,[status(thm)],[])).
% 50.17/32.82 tff(14705,plain,
% 50.17/32.82 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p0, s7, c_read_h_owned) | (~m_processor_v_state(c_p0, s7, c_shared)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | ((~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | (~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_cmd(c_p0, s7, c_read_h_owned)))),
% 50.17/32.82 inference(monotonicity,[status(thm)],[14704])).
% 50.17/32.82 tff(14706,plain,
% 50.17/32.82 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p0, s7, c_read_h_owned) | (~m_processor_v_state(c_p0, s7, c_shared)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | (~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_cmd(c_p0, s7, c_read_h_owned))),
% 50.17/32.82 inference(transitivity,[status(thm)],[14705, 14703])).
% 50.17/32.82 tff(14707,plain,
% 50.17/32.82 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p0, s7, c_read_h_owned) | (~m_processor_v_state(c_p0, s7, c_shared)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7))),
% 50.17/32.82 inference(quant_inst,[status(thm)],[])).
% 50.17/32.82 tff(14708,plain,
% 50.17/32.82 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | (~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_cmd(c_p0, s7, c_read_h_owned)),
% 50.17/32.82 inference(modus_ponens,[status(thm)],[14707, 14706])).
% 50.17/32.82 tff(14709,plain,
% 50.17/32.82 (node62(c_p0, s7) | (~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_cmd(c_p0, s7, c_read_h_owned)),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[14708, 1650, 14621])).
% 50.17/32.82 tff(14710,plain,
% 50.17/32.82 (node62(c_p0, s7)),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[14709, 14702, 14692])).
% 50.17/32.82 tff(14711,plain,
% 50.17/32.82 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p0, s7, c_invalid) | (~node62(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p0, s7, c_invalid) | (~node62(c_p0, s7)))),
% 50.17/32.82 inference(rewrite,[status(thm)],[])).
% 50.17/32.82 tff(14712,plain,
% 50.17/32.82 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p0, s7, c_invalid) | (~node62(c_p0, s7)))),
% 50.17/32.82 inference(quant_inst,[status(thm)],[])).
% 50.17/32.82 tff(14713,plain,
% 50.17/32.82 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p0, s7, c_invalid) | (~node62(c_p0, s7))),
% 50.17/32.82 inference(modus_ponens,[status(thm)],[14712, 14711])).
% 50.17/32.82 tff(14714,plain,
% 50.17/32.82 ($false),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[14713, 1633, 14701, 14710])).
% 50.17/32.82 tff(14715,plain,(m_processor_v_cmd(c_p0, s7, c_read_h_owned) | (~m_processor_v_master(c_p0, s7)) | m_processor_v_state(c_p0, s7, c_owned) | m_processor_v_cmd(c_p0, s7, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.17/32.82 tff(14716,plain,
% 50.17/32.82 ($false),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[14715, 14691, 14659, 14545, 3])).
% 50.17/32.82 tff(14717,plain,(m_processor_v_state(c_p0, s7, c_owned) | m_processor_v_waiting(c_p0, s8) | (~m_processor_v_state(c_p0, s8, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.17/32.82 tff(14718,plain,
% 50.17/32.82 ($false),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[14717, 14421, 14414, 3])).
% 50.17/32.82 tff(14719,plain,((~node56(c_p0, s8)) | m_processor_v_state(c_p0, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.17/32.82 tff(14720,plain,
% 50.17/32.82 (~node56(c_p0, s8)),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[14719, 14406])).
% 50.17/32.82 tff(14721,plain,
% 50.17/32.82 (~m_processor_v_writable(c_p0, s8)),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[12508, 14720])).
% 50.17/32.82 tff(14722,plain,
% 50.17/32.82 (~node67(s8)),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[12500, 14721])).
% 50.17/32.82 tff(14723,plain,
% 50.17/32.82 (node67(s9)),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[6251, 14722, 5671, 5670, 104, 52, 6553])).
% 50.17/32.82 tff(14724,assumption,(~m_processor_v_writable(c_p0, s9)), introduced(assumption)).
% 50.17/32.82 tff(14725,plain,
% 50.17/32.82 (((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s9) | (~node67(s9)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | m_processor_v_writable(c_p0, s9) | (~node67(s9)))),
% 50.17/32.82 inference(rewrite,[status(thm)],[])).
% 50.17/32.82 tff(14726,plain,
% 50.17/32.82 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s9) | (~node67(s9)))),
% 50.17/32.82 inference(quant_inst,[status(thm)],[])).
% 50.17/32.82 tff(14727,plain,
% 50.17/32.82 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | m_processor_v_writable(c_p0, s9) | (~node67(s9))),
% 50.17/32.82 inference(modus_ponens,[status(thm)],[14726, 14725])).
% 50.17/32.82 tff(14728,plain,
% 50.17/32.82 ($false),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[14727, 43, 6254, 14724])).
% 50.17/32.82 tff(14729,plain,((~node67(s9)) | m_processor_v_writable(c_p0, s9)), inference(lemma,lemma(discharge,[]))).
% 50.17/32.82 tff(14730,plain,
% 50.17/32.82 (m_processor_v_writable(c_p0, s9)),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[14729, 14723])).
% 50.17/32.82 tff(14731,assumption,(m_processor_v_writable(c_p0, s9)), introduced(assumption)).
% 50.17/32.82 tff(14732,assumption,(~node56(c_p0, s9)), introduced(assumption)).
% 50.17/32.82 tff(14733,plain,
% 50.17/32.82 (((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s9)) | node56(c_p0, s9))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s9)) | node56(c_p0, s9))),
% 50.17/32.82 inference(rewrite,[status(thm)],[])).
% 50.17/32.82 tff(14734,plain,
% 50.17/32.82 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s9)) | node56(c_p0, s9))),
% 50.17/32.82 inference(quant_inst,[status(thm)],[])).
% 50.17/32.82 tff(14735,plain,
% 50.17/32.82 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s9)) | node56(c_p0, s9)),
% 50.17/32.82 inference(modus_ponens,[status(thm)],[14734, 14733])).
% 50.17/32.82 tff(14736,plain,
% 50.17/32.82 ($false),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[14735, 28, 14732, 14731])).
% 50.17/32.82 tff(14737,plain,((~m_processor_v_writable(c_p0, s9)) | node56(c_p0, s9)), inference(lemma,lemma(discharge,[]))).
% 50.17/32.82 tff(14738,plain,
% 50.17/32.82 (node56(c_p0, s9)),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[14737, 14730])).
% 50.17/32.82 tff(14739,assumption,(node56(c_p0, s9)), introduced(assumption)).
% 50.17/32.82 tff(14740,assumption,(~m_processor_v_state(c_p0, s9, c_owned)), introduced(assumption)).
% 50.17/32.82 tff(14741,plain,
% 50.17/32.82 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s9, c_owned) | (~node56(c_p0, s9)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p0, s9, c_owned) | (~node56(c_p0, s9)))),
% 50.17/32.82 inference(rewrite,[status(thm)],[])).
% 50.17/32.82 tff(14742,plain,
% 50.17/32.82 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s9, c_owned) | (~node56(c_p0, s9)))),
% 50.17/32.82 inference(quant_inst,[status(thm)],[])).
% 50.17/32.82 tff(14743,plain,
% 50.17/32.82 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | m_processor_v_state(c_p0, s9, c_owned) | (~node56(c_p0, s9))),
% 50.17/32.82 inference(modus_ponens,[status(thm)],[14742, 14741])).
% 50.17/32.82 tff(14744,plain,
% 50.17/32.82 ($false),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[14743, 13, 14740, 14739])).
% 50.17/32.82 tff(14745,plain,((~node56(c_p0, s9)) | m_processor_v_state(c_p0, s9, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.17/32.82 tff(14746,plain,
% 50.17/32.82 (m_processor_v_state(c_p0, s9, c_owned)),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[14745, 14738])).
% 50.17/32.82 tff(14747,plain,
% 50.17/32.82 (m_processor_v_writable(c_p1, s9)),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[6259, 14723])).
% 50.17/32.82 tff(14748,plain,
% 50.17/32.82 (node56(c_p1, s9)),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[6267, 14747])).
% 50.17/32.82 tff(14749,plain,
% 50.17/32.82 (m_processor_v_state(c_p1, s9, c_owned)),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[6275, 14748])).
% 50.17/32.82 tff(14750,plain,
% 50.17/32.82 (~m_processor_v_state(c_p1, s9, c_invalid)),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[6279, 137, 14749])).
% 50.17/32.82 tff(14751,plain,
% 50.17/32.82 (m_processor_v_state(c_p1, s8, c_owned)),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[6548, 5670, 6553, 104, 52, 5671])).
% 50.17/32.82 tff(14752,plain,
% 50.17/32.82 (~m_processor_v_state(c_p1, s9, c_shared)),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[6286, 121, 14749])).
% 50.17/32.82 tff(14753,plain,
% 50.17/32.82 (~m_processor_v_waiting(c_p1, s9)),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[6546, 540, 14748])).
% 50.17/32.82 tff(14754,plain,
% 50.17/32.82 (((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p0, s9)) | (~node56(c_p0, s9)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p0, s9)) | (~node56(c_p0, s9)))),
% 50.17/32.82 inference(rewrite,[status(thm)],[])).
% 50.17/32.82 tff(14755,plain,
% 50.17/32.82 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p0, s9)) | (~node56(c_p0, s9)))),
% 50.17/32.82 inference(quant_inst,[status(thm)],[])).
% 50.17/32.82 tff(14756,plain,
% 50.17/32.82 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p0, s9)) | (~node56(c_p0, s9))),
% 50.17/32.82 inference(modus_ponens,[status(thm)],[14755, 14754])).
% 50.17/32.82 tff(14757,plain,
% 50.17/32.82 (~m_processor_v_waiting(c_p0, s9)),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[14756, 540, 14738])).
% 50.17/32.82 tff(14758,assumption,(~m_processor_v_waiting(c_p0, s9)), introduced(assumption)).
% 50.17/32.82 tff(14759,assumption,(m_processor_v_state(c_p0, s9, c_owned)), introduced(assumption)).
% 50.17/32.82 tff(14760,plain,
% 50.17/32.82 (~m_processor_v_state(c_p0, s8, c_owned)),
% 50.17/32.82 inference(unit_resolution,[status(thm)],[14553, 14504, 3])).
% 50.17/32.82 tff(14761,plain,
% 50.17/32.82 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s9, c_owned)) | (~m_processor_v_state(c_p0, s9, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~m_processor_v_state(c_p0, s9, c_shared)))),
% 50.17/32.82 inference(rewrite,[status(thm)],[])).
% 50.17/32.82 tff(14762,plain,
% 50.17/32.82 (((~m_processor_v_state(c_p0, s9, c_shared)) | (~m_processor_v_state(c_p0, s9, c_owned))) <=> ((~m_processor_v_state(c_p0, s9, c_owned)) | (~m_processor_v_state(c_p0, s9, c_shared)))),
% 50.17/32.82 inference(rewrite,[status(thm)],[])).
% 50.17/32.82 tff(14763,plain,
% 50.17/32.82 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s9, c_shared)) | (~m_processor_v_state(c_p0, s9, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s9, c_owned)) | (~m_processor_v_state(c_p0, s9, c_shared))))),
% 50.17/32.82 inference(monotonicity,[status(thm)],[14762])).
% 50.17/32.82 tff(14764,plain,
% 50.17/32.82 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s9, c_shared)) | (~m_processor_v_state(c_p0, s9, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~m_processor_v_state(c_p0, s9, c_shared)))),
% 50.17/32.82 inference(transitivity,[status(thm)],[14763, 14761])).
% 50.17/32.82 tff(14765,plain,
% 50.21/32.82 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s9, c_shared)) | (~m_processor_v_state(c_p0, s9, c_owned)))),
% 50.21/32.82 inference(quant_inst,[status(thm)],[])).
% 50.21/32.82 tff(14766,plain,
% 50.21/32.82 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~m_processor_v_state(c_p0, s9, c_shared))),
% 50.21/32.82 inference(modus_ponens,[status(thm)],[14765, 14764])).
% 50.21/32.82 tff(14767,plain,
% 50.21/32.82 (~m_processor_v_state(c_p0, s9, c_shared)),
% 50.21/32.82 inference(unit_resolution,[status(thm)],[14766, 121, 14759])).
% 50.21/32.82 tff(14768,plain,
% 50.21/32.82 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s9, c_invalid)) | (~m_processor_v_state(c_p0, s9, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s9, c_invalid)) | (~m_processor_v_state(c_p0, s9, c_owned)))),
% 50.21/32.82 inference(rewrite,[status(thm)],[])).
% 50.21/32.82 tff(14769,plain,
% 50.21/32.82 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p0, s9, c_invalid)) | (~m_processor_v_state(c_p0, s9, c_owned)))),
% 50.21/32.82 inference(quant_inst,[status(thm)],[])).
% 50.21/32.82 tff(14770,plain,
% 50.21/32.82 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p0, s9, c_invalid)) | (~m_processor_v_state(c_p0, s9, c_owned))),
% 50.21/32.82 inference(modus_ponens,[status(thm)],[14769, 14768])).
% 50.21/32.82 tff(14771,plain,
% 50.21/32.82 (~m_processor_v_state(c_p0, s9, c_invalid)),
% 50.21/32.82 inference(unit_resolution,[status(thm)],[14770, 137, 14759])).
% 50.21/32.82 tff(14772,assumption,(~m_processor_v_master(c_p0, s8)), introduced(assumption)).
% 50.21/32.82 tff(14773,assumption,(node37(c_p0, s8, s9)), introduced(assumption)).
% 50.21/32.82 tff(14774,plain,
% 50.21/32.82 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s8, c_owned) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~node37(c_p0, s8, s9)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s8, c_owned) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~node37(c_p0, s8, s9)))),
% 50.21/32.82 inference(rewrite,[status(thm)],[])).
% 50.21/32.82 tff(14775,plain,
% 50.21/32.82 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s8, c_owned) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~node37(c_p0, s8, s9)))),
% 50.21/32.82 inference(quant_inst,[status(thm)],[])).
% 50.21/32.82 tff(14776,plain,
% 50.21/32.82 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s8, c_owned) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~node37(c_p0, s8, s9))),
% 50.21/32.82 inference(modus_ponens,[status(thm)],[14775, 14774])).
% 50.21/32.82 tff(14777,plain,
% 50.21/32.82 ($false),
% 50.21/32.82 inference(unit_resolution,[status(thm)],[14776, 182, 14408, 14759, 14773])).
% 50.21/32.82 tff(14778,plain,((~m_processor_v_state(c_p0, s9, c_owned)) | m_processor_v_state(c_p0, s8, c_owned) | (~node37(c_p0, s8, s9))), inference(lemma,lemma(discharge,[]))).
% 50.21/32.82 tff(14779,plain,
% 50.21/32.82 (~node37(c_p0, s8, s9)),
% 50.21/32.82 inference(unit_resolution,[status(thm)],[14778, 14408, 14759])).
% 50.21/32.82 tff(14780,assumption,(~m_processor_v_state(c_p0, s9, c_invalid)), introduced(assumption)).
% 50.21/32.82 tff(14781,plain,
% 50.21/32.82 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p0, s8, c_owned) | m_processor_v_state(c_p0, s8, c_invalid) | m_processor_v_state(c_p0, s8, c_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p0, s8, c_owned) | m_processor_v_state(c_p0, s8, c_invalid) | m_processor_v_state(c_p0, s8, c_shared))),
% 50.21/32.83 inference(rewrite,[status(thm)],[])).
% 50.21/32.83 tff(14782,plain,
% 50.21/32.83 ((m_processor_v_state(c_p0, s8, c_owned) | m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_state(c_p0, s8, c_invalid)) <=> (m_processor_v_state(c_p0, s8, c_owned) | m_processor_v_state(c_p0, s8, c_invalid) | m_processor_v_state(c_p0, s8, c_shared))),
% 50.21/32.83 inference(rewrite,[status(thm)],[])).
% 50.21/32.83 tff(14783,plain,
% 50.21/32.83 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p0, s8, c_owned) | m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_state(c_p0, s8, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p0, s8, c_owned) | m_processor_v_state(c_p0, s8, c_invalid) | m_processor_v_state(c_p0, s8, c_shared)))),
% 50.21/32.83 inference(monotonicity,[status(thm)],[14782])).
% 50.21/32.83 tff(14784,plain,
% 50.21/32.83 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p0, s8, c_owned) | m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_state(c_p0, s8, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p0, s8, c_owned) | m_processor_v_state(c_p0, s8, c_invalid) | m_processor_v_state(c_p0, s8, c_shared))),
% 50.21/32.83 inference(transitivity,[status(thm)],[14783, 14781])).
% 50.21/32.83 tff(14785,plain,
% 50.21/32.83 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p0, s8, c_owned) | m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_state(c_p0, s8, c_invalid))),
% 50.21/32.83 inference(quant_inst,[status(thm)],[])).
% 50.21/32.83 tff(14786,plain,
% 50.21/32.83 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p0, s8, c_owned) | m_processor_v_state(c_p0, s8, c_invalid) | m_processor_v_state(c_p0, s8, c_shared)),
% 50.21/32.83 inference(modus_ponens,[status(thm)],[14785, 14784])).
% 50.21/32.83 tff(14787,plain,
% 50.21/32.83 (m_processor_v_state(c_p0, s8, c_invalid) | m_processor_v_state(c_p0, s8, c_shared)),
% 50.21/32.83 inference(unit_resolution,[status(thm)],[14786, 153, 14408])).
% 50.21/32.83 tff(14788,plain,
% 50.21/32.83 (m_processor_v_state(c_p0, s8, c_invalid)),
% 50.21/32.83 inference(unit_resolution,[status(thm)],[14787, 14468])).
% 50.21/32.83 tff(14789,assumption,(node32(c_p0, s8, s9)), introduced(assumption)).
% 50.21/32.83 tff(14790,plain,
% 50.21/32.83 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s8, c_invalid)) | m_processor_v_state(c_p0, s9, c_invalid) | (~node32(c_p0, s8, s9)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s8, c_invalid)) | m_processor_v_state(c_p0, s9, c_invalid) | (~node32(c_p0, s8, s9)))),
% 50.21/32.83 inference(rewrite,[status(thm)],[])).
% 50.21/32.83 tff(14791,plain,
% 50.21/32.83 (((~node32(c_p0, s8, s9)) | (~m_processor_v_state(c_p0, s8, c_invalid)) | m_processor_v_state(c_p0, s9, c_invalid)) <=> ((~m_processor_v_state(c_p0, s8, c_invalid)) | m_processor_v_state(c_p0, s9, c_invalid) | (~node32(c_p0, s8, s9)))),
% 50.21/32.83 inference(rewrite,[status(thm)],[])).
% 50.21/32.83 tff(14792,plain,
% 50.21/32.83 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s8, s9)) | (~m_processor_v_state(c_p0, s8, c_invalid)) | m_processor_v_state(c_p0, s9, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s8, c_invalid)) | m_processor_v_state(c_p0, s9, c_invalid) | (~node32(c_p0, s8, s9))))),
% 50.21/32.83 inference(monotonicity,[status(thm)],[14791])).
% 50.21/32.83 tff(14793,plain,
% 50.21/32.83 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s8, s9)) | (~m_processor_v_state(c_p0, s8, c_invalid)) | m_processor_v_state(c_p0, s9, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s8, c_invalid)) | m_processor_v_state(c_p0, s9, c_invalid) | (~node32(c_p0, s8, s9)))),
% 50.21/32.83 inference(transitivity,[status(thm)],[14792, 14790])).
% 50.21/32.83 tff(14794,plain,
% 50.21/32.83 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s8, s9)) | (~m_processor_v_state(c_p0, s8, c_invalid)) | m_processor_v_state(c_p0, s9, c_invalid))),
% 50.21/32.83 inference(quant_inst,[status(thm)],[])).
% 50.21/32.83 tff(14795,plain,
% 50.21/32.83 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s8, c_invalid)) | m_processor_v_state(c_p0, s9, c_invalid) | (~node32(c_p0, s8, s9))),
% 50.21/32.83 inference(modus_ponens,[status(thm)],[14794, 14793])).
% 50.21/32.83 tff(14796,plain,
% 50.21/32.83 ($false),
% 50.21/32.83 inference(unit_resolution,[status(thm)],[14795, 380, 14424, 14780, 14789])).
% 50.21/32.83 tff(14797,plain,((~node32(c_p0, s8, s9)) | (~m_processor_v_state(c_p0, s8, c_invalid)) | m_processor_v_state(c_p0, s9, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.21/32.83 tff(14798,plain,
% 50.21/32.83 (~node32(c_p0, s8, s9)),
% 50.21/32.83 inference(unit_resolution,[status(thm)],[14797, 14788, 14780])).
% 50.21/32.83 tff(14799,assumption,(~node38(c_p0, s8, s9)), introduced(assumption)).
% 50.21/32.83 tff(14800,plain,
% 50.21/32.83 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s8, s9)) | node38(c_p0, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s8, s9)) | node38(c_p0, s8, s9))),
% 50.21/32.83 inference(rewrite,[status(thm)],[])).
% 50.21/32.83 tff(14801,plain,
% 50.21/32.83 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s8, s9)) | node38(c_p0, s8, s9))),
% 50.21/32.83 inference(quant_inst,[status(thm)],[])).
% 50.21/32.83 tff(14802,plain,
% 50.21/32.83 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s8, s9)) | node38(c_p0, s8, s9)),
% 50.21/32.83 inference(modus_ponens,[status(thm)],[14801, 14800])).
% 50.21/32.83 tff(14803,plain,
% 50.21/32.83 ($false),
% 50.21/32.83 inference(unit_resolution,[status(thm)],[14802, 210, 6377, 14799])).
% 50.21/32.83 tff(14804,plain,(node38(c_p0, s8, s9)), inference(lemma,lemma(discharge,[]))).
% 50.21/32.83 tff(14805,plain,
% 50.21/32.83 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s8, s9) | (~m_processor_v_abort(c_p0, s8)) | (~node38(c_p0, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s8, s9) | (~m_processor_v_abort(c_p0, s8)) | (~node38(c_p0, s8, s9)))),
% 50.21/32.83 inference(rewrite,[status(thm)],[])).
% 50.21/32.83 tff(14806,plain,
% 50.21/32.83 ((node32(c_p0, s8, s9) | (~node38(c_p0, s8, s9)) | (~m_processor_v_abort(c_p0, s8))) <=> (node32(c_p0, s8, s9) | (~m_processor_v_abort(c_p0, s8)) | (~node38(c_p0, s8, s9)))),
% 50.21/32.83 inference(rewrite,[status(thm)],[])).
% 50.21/32.83 tff(14807,plain,
% 50.21/32.83 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s8, s9) | (~node38(c_p0, s8, s9)) | (~m_processor_v_abort(c_p0, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s8, s9) | (~m_processor_v_abort(c_p0, s8)) | (~node38(c_p0, s8, s9))))),
% 50.21/32.83 inference(monotonicity,[status(thm)],[14806])).
% 50.21/32.83 tff(14808,plain,
% 50.21/32.83 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s8, s9) | (~node38(c_p0, s8, s9)) | (~m_processor_v_abort(c_p0, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s8, s9) | (~m_processor_v_abort(c_p0, s8)) | (~node38(c_p0, s8, s9)))),
% 50.21/32.83 inference(transitivity,[status(thm)],[14807, 14805])).
% 50.21/32.83 tff(14809,plain,
% 50.21/32.83 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p0, s8, s9) | (~node38(c_p0, s8, s9)) | (~m_processor_v_abort(c_p0, s8)))),
% 50.21/32.83 inference(quant_inst,[status(thm)],[])).
% 50.21/32.83 tff(14810,plain,
% 50.21/32.83 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p0, s8, s9) | (~m_processor_v_abort(c_p0, s8)) | (~node38(c_p0, s8, s9))),
% 50.21/32.83 inference(modus_ponens,[status(thm)],[14809, 14808])).
% 50.21/32.83 tff(14811,plain,
% 50.21/32.83 (node32(c_p0, s8, s9) | (~m_processor_v_abort(c_p0, s8))),
% 50.21/32.83 inference(unit_resolution,[status(thm)],[14810, 243, 14804])).
% 50.21/32.83 tff(14812,plain,
% 50.21/32.83 (~m_processor_v_abort(c_p0, s8)),
% 50.21/32.83 inference(unit_resolution,[status(thm)],[14811, 14798])).
% 50.21/32.83 tff(14813,assumption,(~node37(c_p0, s8, s9)), introduced(assumption)).
% 50.21/32.83 tff(14814,assumption,(~m_processor_v_abort(c_p0, s8)), introduced(assumption)).
% 50.21/32.83 tff(14815,plain,
% 50.21/32.83 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s8) | m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_abort(c_p0, s8) | node36(c_p0, s8) | node37(c_p0, s8, s9) | (~node38(c_p0, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s8) | m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_abort(c_p0, s8) | node36(c_p0, s8) | node37(c_p0, s8, s9) | (~node38(c_p0, s8, s9)))),
% 50.21/32.83 inference(rewrite,[status(thm)],[])).
% 50.21/32.83 tff(14816,plain,
% 50.21/32.83 ((m_processor_v_state(c_p0, s8, c_shared) | node36(c_p0, s8) | m_processor_v_master(c_p0, s8) | node37(c_p0, s8, s9) | (~node38(c_p0, s8, s9)) | m_processor_v_abort(c_p0, s8)) <=> (m_processor_v_master(c_p0, s8) | m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_abort(c_p0, s8) | node36(c_p0, s8) | node37(c_p0, s8, s9) | (~node38(c_p0, s8, s9)))),
% 50.21/32.83 inference(rewrite,[status(thm)],[])).
% 50.21/32.83 tff(14817,plain,
% 50.21/32.83 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s8, c_shared) | node36(c_p0, s8) | m_processor_v_master(c_p0, s8) | node37(c_p0, s8, s9) | (~node38(c_p0, s8, s9)) | m_processor_v_abort(c_p0, s8))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s8) | m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_abort(c_p0, s8) | node36(c_p0, s8) | node37(c_p0, s8, s9) | (~node38(c_p0, s8, s9))))),
% 50.21/32.83 inference(monotonicity,[status(thm)],[14816])).
% 50.21/32.83 tff(14818,plain,
% 50.21/32.83 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s8, c_shared) | node36(c_p0, s8) | m_processor_v_master(c_p0, s8) | node37(c_p0, s8, s9) | (~node38(c_p0, s8, s9)) | m_processor_v_abort(c_p0, s8))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s8) | m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_abort(c_p0, s8) | node36(c_p0, s8) | node37(c_p0, s8, s9) | (~node38(c_p0, s8, s9)))),
% 50.21/32.83 inference(transitivity,[status(thm)],[14817, 14815])).
% 50.21/32.83 tff(14819,plain,
% 50.21/32.83 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p0, s8, c_shared) | node36(c_p0, s8) | m_processor_v_master(c_p0, s8) | node37(c_p0, s8, s9) | (~node38(c_p0, s8, s9)) | m_processor_v_abort(c_p0, s8))),
% 50.21/32.83 inference(quant_inst,[status(thm)],[])).
% 50.21/32.83 tff(14820,plain,
% 50.21/32.83 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s8) | m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_abort(c_p0, s8) | node36(c_p0, s8) | node37(c_p0, s8, s9) | (~node38(c_p0, s8, s9))),
% 50.21/32.83 inference(modus_ponens,[status(thm)],[14819, 14818])).
% 50.21/32.83 tff(14821,plain,
% 50.21/32.83 (m_processor_v_master(c_p0, s8) | m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_abort(c_p0, s8) | node36(c_p0, s8) | node37(c_p0, s8, s9)),
% 50.21/32.83 inference(unit_resolution,[status(thm)],[14820, 225, 14804])).
% 50.21/32.83 tff(14822,plain,
% 50.21/32.83 (node36(c_p0, s8)),
% 50.21/32.83 inference(unit_resolution,[status(thm)],[14821, 14468, 14814, 14813, 14772])).
% 50.21/32.83 tff(14823,plain,
% 50.21/32.83 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p0, s8, c_shared) | (~node36(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p0, s8, c_shared) | (~node36(c_p0, s8)))),
% 50.21/32.83 inference(rewrite,[status(thm)],[])).
% 50.21/32.83 tff(14824,plain,
% 50.21/32.83 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p0, s8, c_shared) | (~node36(c_p0, s8)))),
% 50.21/32.83 inference(quant_inst,[status(thm)],[])).
% 50.21/32.83 tff(14825,plain,
% 50.21/32.83 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p0, s8, c_shared) | (~node36(c_p0, s8))),
% 50.21/32.83 inference(modus_ponens,[status(thm)],[14824, 14823])).
% 50.21/32.83 tff(14826,plain,
% 50.21/32.83 ($false),
% 50.21/32.83 inference(unit_resolution,[status(thm)],[14825, 167, 14468, 14822])).
% 50.21/32.83 tff(14827,plain,(m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_abort(c_p0, s8) | node37(c_p0, s8, s9) | m_processor_v_master(c_p0, s8)), inference(lemma,lemma(discharge,[]))).
% 50.21/32.83 tff(14828,plain,
% 50.21/32.83 (node37(c_p0, s8, s9)),
% 50.21/32.83 inference(unit_resolution,[status(thm)],[14827, 14812, 14772, 14468])).
% 50.21/32.83 tff(14829,plain,
% 50.21/32.83 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s8, c_invalid)) | (~node37(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s8, c_invalid)) | (~node37(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_invalid))),
% 50.21/32.83 inference(rewrite,[status(thm)],[])).
% 50.21/32.83 tff(14830,plain,
% 50.21/32.83 (((~m_processor_v_state(c_p0, s8, c_invalid)) | m_processor_v_state(c_p0, s9, c_invalid) | (~node37(c_p0, s8, s9))) <=> ((~m_processor_v_state(c_p0, s8, c_invalid)) | (~node37(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_invalid))),
% 50.21/32.83 inference(rewrite,[status(thm)],[])).
% 50.21/32.83 tff(14831,plain,
% 50.21/32.83 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s8, c_invalid)) | m_processor_v_state(c_p0, s9, c_invalid) | (~node37(c_p0, s8, s9)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s8, c_invalid)) | (~node37(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_invalid)))),
% 50.21/32.83 inference(monotonicity,[status(thm)],[14830])).
% 50.21/32.83 tff(14832,plain,
% 50.21/32.83 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s8, c_invalid)) | m_processor_v_state(c_p0, s9, c_invalid) | (~node37(c_p0, s8, s9)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s8, c_invalid)) | (~node37(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_invalid))),
% 50.21/32.83 inference(transitivity,[status(thm)],[14831, 14829])).
% 50.21/32.83 tff(14833,plain,
% 50.21/32.83 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s8, c_invalid)) | m_processor_v_state(c_p0, s9, c_invalid) | (~node37(c_p0, s8, s9)))),
% 50.21/32.83 inference(quant_inst,[status(thm)],[])).
% 50.21/32.83 tff(14834,plain,
% 50.21/32.83 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s8, c_invalid)) | (~node37(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_invalid)),
% 50.21/32.83 inference(modus_ponens,[status(thm)],[14833, 14832])).
% 50.21/32.83 tff(14835,plain,
% 50.21/32.83 ($false),
% 50.21/32.83 inference(unit_resolution,[status(thm)],[14834, 2411, 14788, 14828, 14780])).
% 50.21/32.83 tff(14836,plain,(m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_state(c_p0, s9, c_invalid) | m_processor_v_master(c_p0, s8) | m_processor_v_state(c_p0, s8, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.21/32.83 tff(14837,plain,
% 50.21/32.83 (m_processor_v_state(c_p0, s8, c_shared)),
% 50.21/32.83 inference(unit_resolution,[status(thm)],[14836, 14408, 14771, 14772])).
% 50.21/32.83 tff(14838,assumption,(~m_processor_v_state(c_p0, s9, c_shared)), introduced(assumption)).
% 50.21/32.83 tff(14839,assumption,(m_processor_v_state(c_p0, s8, c_shared)), introduced(assumption)).
% 50.21/32.83 tff(14840,plain,
% 50.21/32.83 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node32(c_p0, s8, s9)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node32(c_p0, s8, s9)))),
% 50.21/32.83 inference(rewrite,[status(thm)],[])).
% 50.21/32.83 tff(14841,plain,
% 50.21/32.83 (((~node32(c_p0, s8, s9)) | (~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_state(c_p0, s9, c_shared)) <=> ((~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node32(c_p0, s8, s9)))),
% 50.21/32.83 inference(rewrite,[status(thm)],[])).
% 50.21/32.83 tff(14842,plain,
% 50.21/32.83 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s8, s9)) | (~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_state(c_p0, s9, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node32(c_p0, s8, s9))))),
% 50.21/32.83 inference(monotonicity,[status(thm)],[14841])).
% 50.21/32.83 tff(14843,plain,
% 50.21/32.83 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s8, s9)) | (~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_state(c_p0, s9, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node32(c_p0, s8, s9)))),
% 50.21/32.83 inference(transitivity,[status(thm)],[14842, 14840])).
% 50.21/32.83 tff(14844,plain,
% 50.21/32.83 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s8, s9)) | (~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_state(c_p0, s9, c_shared))),
% 50.21/32.83 inference(quant_inst,[status(thm)],[])).
% 50.21/32.83 tff(14845,plain,
% 50.21/32.83 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node32(c_p0, s8, s9))),
% 50.21/32.83 inference(modus_ponens,[status(thm)],[14844, 14843])).
% 50.21/32.83 tff(14846,plain,
% 50.21/32.83 ($false),
% 50.21/32.83 inference(unit_resolution,[status(thm)],[14845, 380, 14839, 14838, 14789])).
% 50.21/32.83 tff(14847,plain,((~node32(c_p0, s8, s9)) | (~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_state(c_p0, s9, c_shared)), inference(lemma,lemma(discharge,[]))).
% 50.21/32.83 tff(14848,plain,
% 50.21/32.83 (~node32(c_p0, s8, s9)),
% 50.21/32.83 inference(unit_resolution,[status(thm)],[14847, 14838, 14839])).
% 50.21/32.83 tff(14849,plain,
% 50.21/32.83 (~m_processor_v_abort(c_p0, s8)),
% 50.21/32.83 inference(unit_resolution,[status(thm)],[14811, 14848])).
% 50.21/32.83 tff(14850,plain,
% 50.21/32.83 (m_processor_v_state(c_p0, s8, c_shared)),
% 50.21/32.83 inference(unit_resolution,[status(thm)],[14827, 14772, 14813, 14814])).
% 50.21/32.83 tff(14851,plain,
% 50.21/32.83 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s8) | (~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_abort(c_p0, s8) | m_processor_v_state(c_p0, s9, c_invalid) | (~node38(c_p0, s8, s9)) | node35(c_p0, s8))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s8) | (~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_abort(c_p0, s8) | m_processor_v_state(c_p0, s9, c_invalid) | (~node38(c_p0, s8, s9)) | node35(c_p0, s8))),
% 50.21/32.83 inference(rewrite,[status(thm)],[])).
% 50.21/32.83 tff(14852,plain,
% 50.21/32.83 (((~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_master(c_p0, s8) | node35(c_p0, s8) | m_processor_v_state(c_p0, s9, c_invalid) | (~node38(c_p0, s8, s9)) | m_processor_v_abort(c_p0, s8)) <=> (m_processor_v_master(c_p0, s8) | (~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_abort(c_p0, s8) | m_processor_v_state(c_p0, s9, c_invalid) | (~node38(c_p0, s8, s9)) | node35(c_p0, s8))),
% 50.21/32.83 inference(rewrite,[status(thm)],[])).
% 50.21/32.83 tff(14853,plain,
% 50.21/32.83 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_master(c_p0, s8) | node35(c_p0, s8) | m_processor_v_state(c_p0, s9, c_invalid) | (~node38(c_p0, s8, s9)) | m_processor_v_abort(c_p0, s8))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s8) | (~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_abort(c_p0, s8) | m_processor_v_state(c_p0, s9, c_invalid) | (~node38(c_p0, s8, s9)) | node35(c_p0, s8)))),
% 50.21/32.83 inference(monotonicity,[status(thm)],[14852])).
% 50.21/32.83 tff(14854,plain,
% 50.21/32.83 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_master(c_p0, s8) | node35(c_p0, s8) | m_processor_v_state(c_p0, s9, c_invalid) | (~node38(c_p0, s8, s9)) | m_processor_v_abort(c_p0, s8))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s8) | (~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_abort(c_p0, s8) | m_processor_v_state(c_p0, s9, c_invalid) | (~node38(c_p0, s8, s9)) | node35(c_p0, s8))),
% 50.21/32.83 inference(transitivity,[status(thm)],[14853, 14851])).
% 50.21/32.83 tff(14855,plain,
% 50.21/32.83 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_master(c_p0, s8) | node35(c_p0, s8) | m_processor_v_state(c_p0, s9, c_invalid) | (~node38(c_p0, s8, s9)) | m_processor_v_abort(c_p0, s8))),
% 50.21/32.84 inference(quant_inst,[status(thm)],[])).
% 50.21/32.84 tff(14856,plain,
% 50.21/32.84 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s8) | (~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_abort(c_p0, s8) | m_processor_v_state(c_p0, s9, c_invalid) | (~node38(c_p0, s8, s9)) | node35(c_p0, s8)),
% 50.21/32.84 inference(modus_ponens,[status(thm)],[14855, 14854])).
% 50.21/32.84 tff(14857,plain,
% 50.21/32.84 (m_processor_v_master(c_p0, s8) | (~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_abort(c_p0, s8) | m_processor_v_state(c_p0, s9, c_invalid) | node35(c_p0, s8)),
% 50.21/32.84 inference(unit_resolution,[status(thm)],[14856, 301, 14804])).
% 50.21/32.84 tff(14858,plain,
% 50.21/32.84 (node35(c_p0, s8)),
% 50.21/32.84 inference(unit_resolution,[status(thm)],[14857, 14772, 14780, 14850, 14814])).
% 50.21/32.84 tff(14859,plain,
% 50.21/32.84 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s8, c_invalidate)) | (~node35(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s8, c_invalidate)) | (~node35(c_p0, s8)))),
% 50.21/32.84 inference(rewrite,[status(thm)],[])).
% 50.21/32.84 tff(14860,plain,
% 50.21/32.84 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s8, c_invalidate)) | (~node35(c_p0, s8)))),
% 50.21/32.84 inference(quant_inst,[status(thm)],[])).
% 50.21/32.84 tff(14861,plain,
% 50.21/32.84 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s8, c_invalidate)) | (~node35(c_p0, s8))),
% 50.21/32.84 inference(modus_ponens,[status(thm)],[14860, 14859])).
% 50.21/32.84 tff(14862,plain,
% 50.21/32.84 (~m_processor_v_CMD(c_p0, s8, c_invalidate)),
% 50.21/32.84 inference(unit_resolution,[status(thm)],[14861, 327, 14858])).
% 50.21/32.84 tff(14863,assumption,(~m_processor_v_CMD(c_p0, s8, c_read_h_owned)), introduced(assumption)).
% 50.21/32.84 tff(14864,plain,
% 50.21/32.84 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s8) | (~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_abort(c_p0, s8) | node36(c_p0, s8) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_state(c_p0, s9, c_invalid) | (~node38(c_p0, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s8) | (~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_abort(c_p0, s8) | node36(c_p0, s8) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_state(c_p0, s9, c_invalid) | (~node38(c_p0, s8, s9)))),
% 50.21/32.84 inference(rewrite,[status(thm)],[])).
% 50.21/32.84 tff(14865,plain,
% 50.21/32.84 (((~m_processor_v_state(c_p0, s8, c_shared)) | node36(c_p0, s8) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_master(c_p0, s8) | m_processor_v_state(c_p0, s9, c_invalid) | (~node38(c_p0, s8, s9)) | m_processor_v_abort(c_p0, s8)) <=> (m_processor_v_master(c_p0, s8) | (~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_abort(c_p0, s8) | node36(c_p0, s8) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_state(c_p0, s9, c_invalid) | (~node38(c_p0, s8, s9)))),
% 50.21/32.84 inference(rewrite,[status(thm)],[])).
% 50.21/32.84 tff(14866,plain,
% 50.21/32.84 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s8, c_shared)) | node36(c_p0, s8) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_master(c_p0, s8) | m_processor_v_state(c_p0, s9, c_invalid) | (~node38(c_p0, s8, s9)) | m_processor_v_abort(c_p0, s8))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s8) | (~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_abort(c_p0, s8) | node36(c_p0, s8) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_state(c_p0, s9, c_invalid) | (~node38(c_p0, s8, s9))))),
% 50.23/32.84 inference(monotonicity,[status(thm)],[14865])).
% 50.23/32.84 tff(14867,plain,
% 50.23/32.84 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s8, c_shared)) | node36(c_p0, s8) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_master(c_p0, s8) | m_processor_v_state(c_p0, s9, c_invalid) | (~node38(c_p0, s8, s9)) | m_processor_v_abort(c_p0, s8))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s8) | (~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_abort(c_p0, s8) | node36(c_p0, s8) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_state(c_p0, s9, c_invalid) | (~node38(c_p0, s8, s9)))),
% 50.23/32.84 inference(transitivity,[status(thm)],[14866, 14864])).
% 50.23/32.84 tff(14868,plain,
% 50.23/32.84 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s8, c_shared)) | node36(c_p0, s8) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_master(c_p0, s8) | m_processor_v_state(c_p0, s9, c_invalid) | (~node38(c_p0, s8, s9)) | m_processor_v_abort(c_p0, s8))),
% 50.23/32.84 inference(quant_inst,[status(thm)],[])).
% 50.23/32.84 tff(14869,plain,
% 50.23/32.84 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s8) | (~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_abort(c_p0, s8) | node36(c_p0, s8) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_state(c_p0, s9, c_invalid) | (~node38(c_p0, s8, s9))),
% 50.23/32.84 inference(modus_ponens,[status(thm)],[14868, 14867])).
% 50.23/32.84 tff(14870,plain,
% 50.23/32.84 (m_processor_v_master(c_p0, s8) | (~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_abort(c_p0, s8) | node36(c_p0, s8) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_state(c_p0, s9, c_invalid)),
% 50.23/32.84 inference(unit_resolution,[status(thm)],[14869, 341, 14804])).
% 50.23/32.84 tff(14871,plain,
% 50.23/32.84 (node36(c_p0, s8)),
% 50.23/32.84 inference(unit_resolution,[status(thm)],[14870, 14850, 14780, 14772, 14838, 14814])).
% 50.23/32.84 tff(14872,plain,
% 50.23/32.84 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~node36(c_p0, s8)) | m_processor_v_CMD(c_p0, s8, c_invalidate))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~node36(c_p0, s8)) | m_processor_v_CMD(c_p0, s8, c_invalidate))),
% 50.23/32.84 inference(rewrite,[status(thm)],[])).
% 50.23/32.84 tff(14873,plain,
% 50.23/32.84 ((m_processor_v_CMD(c_p0, s8, c_invalidate) | (~node36(c_p0, s8)) | m_processor_v_CMD(c_p0, s8, c_read_h_owned)) <=> (m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~node36(c_p0, s8)) | m_processor_v_CMD(c_p0, s8, c_invalidate))),
% 50.23/32.84 inference(rewrite,[status(thm)],[])).
% 50.23/32.84 tff(14874,plain,
% 50.23/32.84 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s8, c_invalidate) | (~node36(c_p0, s8)) | m_processor_v_CMD(c_p0, s8, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~node36(c_p0, s8)) | m_processor_v_CMD(c_p0, s8, c_invalidate)))),
% 50.23/32.84 inference(monotonicity,[status(thm)],[14873])).
% 50.23/32.84 tff(14875,plain,
% 50.23/32.84 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s8, c_invalidate) | (~node36(c_p0, s8)) | m_processor_v_CMD(c_p0, s8, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~node36(c_p0, s8)) | m_processor_v_CMD(c_p0, s8, c_invalidate))),
% 50.23/32.84 inference(transitivity,[status(thm)],[14874, 14872])).
% 50.23/32.84 tff(14876,plain,
% 50.23/32.84 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s8, c_invalidate) | (~node36(c_p0, s8)) | m_processor_v_CMD(c_p0, s8, c_read_h_owned))),
% 50.23/32.84 inference(quant_inst,[status(thm)],[])).
% 50.23/32.84 tff(14877,plain,
% 50.23/32.84 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~node36(c_p0, s8)) | m_processor_v_CMD(c_p0, s8, c_invalidate)),
% 50.23/32.84 inference(modus_ponens,[status(thm)],[14876, 14875])).
% 50.23/32.84 tff(14878,plain,
% 50.23/32.84 ($false),
% 50.23/32.84 inference(unit_resolution,[status(thm)],[14877, 359, 14871, 14863, 14862])).
% 50.23/32.84 tff(14879,plain,(m_processor_v_master(c_p0, s8) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | m_processor_v_state(c_p0, s9, c_invalid) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_abort(c_p0, s8) | node37(c_p0, s8, s9)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.84 tff(14880,plain,
% 50.23/32.84 (m_processor_v_CMD(c_p0, s8, c_read_h_owned)),
% 50.23/32.84 inference(unit_resolution,[status(thm)],[14879, 14772, 14813, 14780, 14849, 14838])).
% 50.23/32.84 tff(14881,plain,
% 50.23/32.84 (node35(c_p0, s8)),
% 50.23/32.84 inference(unit_resolution,[status(thm)],[14857, 14772, 14839, 14780, 14849])).
% 50.23/32.84 tff(14882,plain,
% 50.23/32.84 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s8, c_read_h_owned)) | (~node35(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s8, c_read_h_owned)) | (~node35(c_p0, s8)))),
% 50.23/32.84 inference(rewrite,[status(thm)],[])).
% 50.23/32.84 tff(14883,plain,
% 50.23/32.84 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s8, c_read_h_owned)) | (~node35(c_p0, s8)))),
% 50.23/32.84 inference(quant_inst,[status(thm)],[])).
% 50.23/32.84 tff(14884,plain,
% 50.23/32.84 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s8, c_read_h_owned)) | (~node35(c_p0, s8))),
% 50.23/32.84 inference(modus_ponens,[status(thm)],[14883, 14882])).
% 50.23/32.84 tff(14885,plain,
% 50.23/32.84 ($false),
% 50.23/32.84 inference(unit_resolution,[status(thm)],[14884, 316, 14881, 14880])).
% 50.23/32.84 tff(14886,plain,(m_processor_v_master(c_p0, s8) | (~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_state(c_p0, s9, c_invalid) | node37(c_p0, s8, s9) | m_processor_v_state(c_p0, s9, c_shared)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.84 tff(14887,plain,
% 50.23/32.84 ($false),
% 50.23/32.84 inference(unit_resolution,[status(thm)],[14886, 14837, 14779, 14772, 14771, 14767])).
% 50.23/32.84 tff(14888,plain,(m_processor_v_state(c_p0, s8, c_owned) | m_processor_v_master(c_p0, s8) | (~m_processor_v_state(c_p0, s9, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.23/32.84 tff(14889,plain,
% 50.23/32.84 (m_processor_v_master(c_p0, s8)),
% 50.23/32.84 inference(unit_resolution,[status(thm)],[14888, 14760, 14759])).
% 50.23/32.84 tff(14890,assumption,(m_processor_v_abort(c_p1, s8)), introduced(assumption)).
% 50.23/32.84 tff(14891,plain,
% 50.23/32.84 (m_processor_v_master(c_p0, s8)),
% 50.23/32.84 inference(unit_resolution,[status(thm)],[14888, 14759, 14408])).
% 50.23/32.84 tff(14892,plain,
% 50.23/32.84 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | (~node38(c_p0, s8, s9)) | node34(c_p0, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | (~node38(c_p0, s8, s9)) | node34(c_p0, s8, s9))),
% 50.23/32.84 inference(rewrite,[status(thm)],[])).
% 50.23/32.84 tff(14893,plain,
% 50.23/32.84 ((node34(c_p0, s8, s9) | (~m_processor_v_master(c_p0, s8)) | (~node38(c_p0, s8, s9)) | m_processor_v_abort(c_p0, s8)) <=> ((~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | (~node38(c_p0, s8, s9)) | node34(c_p0, s8, s9))),
% 50.23/32.84 inference(rewrite,[status(thm)],[])).
% 50.23/32.84 tff(14894,plain,
% 50.23/32.84 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s8, s9) | (~m_processor_v_master(c_p0, s8)) | (~node38(c_p0, s8, s9)) | m_processor_v_abort(c_p0, s8))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | (~node38(c_p0, s8, s9)) | node34(c_p0, s8, s9)))),
% 50.23/32.84 inference(monotonicity,[status(thm)],[14893])).
% 50.23/32.84 tff(14895,plain,
% 50.23/32.84 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s8, s9) | (~m_processor_v_master(c_p0, s8)) | (~node38(c_p0, s8, s9)) | m_processor_v_abort(c_p0, s8))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | (~node38(c_p0, s8, s9)) | node34(c_p0, s8, s9))),
% 50.23/32.84 inference(transitivity,[status(thm)],[14894, 14892])).
% 50.23/32.84 tff(14896,plain,
% 50.23/32.84 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s8, s9) | (~m_processor_v_master(c_p0, s8)) | (~node38(c_p0, s8, s9)) | m_processor_v_abort(c_p0, s8))),
% 50.23/32.84 inference(quant_inst,[status(thm)],[])).
% 50.23/32.84 tff(14897,plain,
% 50.23/32.84 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | (~node38(c_p0, s8, s9)) | node34(c_p0, s8, s9)),
% 50.23/32.84 inference(modus_ponens,[status(thm)],[14896, 14895])).
% 50.23/32.84 tff(14898,plain,
% 50.23/32.84 ((~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | node34(c_p0, s8, s9)),
% 50.23/32.84 inference(unit_resolution,[status(thm)],[14897, 283, 14804])).
% 50.23/32.84 tff(14899,plain,
% 50.23/32.84 (node34(c_p0, s8, s9)),
% 50.23/32.84 inference(unit_resolution,[status(thm)],[14898, 14814, 14891])).
% 50.23/32.84 tff(14900,plain,
% 50.23/32.84 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node34(c_p0, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node34(c_p0, s8, s9)))),
% 50.23/32.84 inference(rewrite,[status(thm)],[])).
% 50.23/32.84 tff(14901,plain,
% 50.23/32.84 (((~node34(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_shared) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared))) <=> ((~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node34(c_p0, s8, s9)))),
% 50.23/32.84 inference(rewrite,[status(thm)],[])).
% 50.23/32.84 tff(14902,plain,
% 50.23/32.84 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_shared) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node34(c_p0, s8, s9))))),
% 50.23/32.84 inference(monotonicity,[status(thm)],[14901])).
% 50.23/32.84 tff(14903,plain,
% 50.23/32.84 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_shared) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node34(c_p0, s8, s9)))),
% 50.23/32.84 inference(transitivity,[status(thm)],[14902, 14900])).
% 50.23/32.84 tff(14904,plain,
% 50.23/32.84 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_shared) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)))),
% 50.23/32.84 inference(quant_inst,[status(thm)],[])).
% 50.23/32.84 tff(14905,plain,
% 50.23/32.84 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node34(c_p0, s8, s9))),
% 50.23/32.84 inference(modus_ponens,[status(thm)],[14904, 14903])).
% 50.23/32.84 tff(14906,plain,
% 50.23/32.84 (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)),
% 50.23/32.84 inference(unit_resolution,[status(thm)],[14905, 416, 14767, 14899])).
% 50.23/32.84 tff(14907,assumption,(~node60(c_p0, s8)), introduced(assumption)).
% 50.23/32.84 tff(14908,plain,
% 50.23/32.84 (((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p0, s8) | node60(c_p0, s8))) <=> ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p0, s8) | node60(c_p0, s8))),
% 50.23/32.84 inference(rewrite,[status(thm)],[])).
% 50.23/32.84 tff(14909,plain,
% 50.23/32.84 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p0, s8) | node60(c_p0, s8))),
% 50.23/32.84 inference(quant_inst,[status(thm)],[])).
% 50.23/32.84 tff(14910,plain,
% 50.23/32.84 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p0, s8) | node60(c_p0, s8)),
% 50.23/32.84 inference(modus_ponens,[status(thm)],[14909, 14908])).
% 50.23/32.84 tff(14911,plain,
% 50.23/32.84 ($false),
% 50.23/32.84 inference(unit_resolution,[status(thm)],[14910, 693, 14814, 14907])).
% 50.23/32.84 tff(14912,plain,(m_processor_v_abort(c_p0, s8) | node60(c_p0, s8)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.84 tff(14913,plain,
% 50.23/32.84 (node60(c_p0, s8)),
% 50.23/32.84 inference(unit_resolution,[status(thm)],[14912, 14814])).
% 50.23/32.84 tff(14914,assumption,(node60(c_p0, s8)), introduced(assumption)).
% 50.23/32.84 tff(14915,assumption,(~node59(c_p0, s8)), introduced(assumption)).
% 50.23/32.84 tff(14916,plain,
% 50.23/32.84 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p0, s8)) | (~node60(c_p0, s8)) | node59(c_p0, s8))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p0, s8)) | (~node60(c_p0, s8)) | node59(c_p0, s8))),
% 50.23/32.84 inference(rewrite,[status(thm)],[])).
% 50.23/32.84 tff(14917,plain,
% 50.23/32.84 ((node59(c_p0, s8) | (~node60(c_p0, s8)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s8))) <=> ((~m_processor_v_REPLY_h_WAITING(c_p0, s8)) | (~node60(c_p0, s8)) | node59(c_p0, s8))),
% 50.23/32.84 inference(rewrite,[status(thm)],[])).
% 50.23/32.84 tff(14918,plain,
% 50.23/32.84 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s8) | (~node60(c_p0, s8)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p0, s8)) | (~node60(c_p0, s8)) | node59(c_p0, s8)))),
% 50.23/32.84 inference(monotonicity,[status(thm)],[14917])).
% 50.23/32.84 tff(14919,plain,
% 50.23/32.84 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s8) | (~node60(c_p0, s8)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p0, s8)) | (~node60(c_p0, s8)) | node59(c_p0, s8))),
% 50.23/32.84 inference(transitivity,[status(thm)],[14918, 14916])).
% 50.23/32.84 tff(14920,plain,
% 50.23/32.84 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s8) | (~node60(c_p0, s8)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s8)))),
% 50.23/32.84 inference(quant_inst,[status(thm)],[])).
% 50.23/32.84 tff(14921,plain,
% 50.23/32.84 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p0, s8)) | (~node60(c_p0, s8)) | node59(c_p0, s8)),
% 50.23/32.84 inference(modus_ponens,[status(thm)],[14920, 14919])).
% 50.23/32.84 tff(14922,plain,
% 50.23/32.84 ((~m_processor_v_REPLY_h_WAITING(c_p0, s8)) | (~node60(c_p0, s8))),
% 50.23/32.84 inference(unit_resolution,[status(thm)],[14921, 724, 14915])).
% 50.23/32.84 tff(14923,plain,
% 50.23/32.84 (~m_processor_v_REPLY_h_WAITING(c_p0, s8)),
% 50.23/32.84 inference(unit_resolution,[status(thm)],[14922, 14914])).
% 50.23/32.84 tff(14924,plain,
% 50.23/32.84 (((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | ((~m_main_v_REPLY_h_WAITING(s8)) | m_processor_v_REPLY_h_WAITING(c_p0, s8))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | (~m_main_v_REPLY_h_WAITING(s8)) | m_processor_v_REPLY_h_WAITING(c_p0, s8))),
% 50.23/32.84 inference(rewrite,[status(thm)],[])).
% 50.23/32.84 tff(14925,plain,
% 50.23/32.84 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | ((~m_main_v_REPLY_h_WAITING(s8)) | m_processor_v_REPLY_h_WAITING(c_p0, s8))),
% 50.23/32.84 inference(quant_inst,[status(thm)],[])).
% 50.23/32.84 tff(14926,plain,
% 50.23/32.84 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | (~m_main_v_REPLY_h_WAITING(s8)) | m_processor_v_REPLY_h_WAITING(c_p0, s8)),
% 50.23/32.84 inference(modus_ponens,[status(thm)],[14925, 14924])).
% 50.23/32.84 tff(14927,plain,
% 50.23/32.84 (~m_main_v_REPLY_h_WAITING(s8)),
% 50.23/32.84 inference(unit_resolution,[status(thm)],[14926, 7774, 14923])).
% 50.23/32.84 tff(14928,plain,
% 50.23/32.84 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | (m_main_v_REPLY_h_WAITING(s8) | (~m_processor_v_REPLY_h_WAITING(c_p1, s8)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | m_main_v_REPLY_h_WAITING(s8) | (~m_processor_v_REPLY_h_WAITING(c_p1, s8)))),
% 50.23/32.84 inference(rewrite,[status(thm)],[])).
% 50.23/32.84 tff(14929,plain,
% 50.23/32.84 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | (m_main_v_REPLY_h_WAITING(s8) | (~m_processor_v_REPLY_h_WAITING(c_p1, s8)))),
% 50.23/32.84 inference(quant_inst,[status(thm)],[])).
% 50.23/32.84 tff(14930,plain,
% 50.23/32.84 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | m_main_v_REPLY_h_WAITING(s8) | (~m_processor_v_REPLY_h_WAITING(c_p1, s8))),
% 50.23/32.84 inference(modus_ponens,[status(thm)],[14929, 14928])).
% 50.23/32.84 tff(14931,plain,
% 50.23/32.84 (~m_processor_v_REPLY_h_WAITING(c_p1, s8)),
% 50.23/32.84 inference(unit_resolution,[status(thm)],[14930, 7866, 14927])).
% 50.23/32.84 tff(14932,plain,
% 50.23/32.84 (((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p1, s8) | (~node61(c_p1, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p1, s8) | (~node61(c_p1, s8)))),
% 50.23/32.84 inference(rewrite,[status(thm)],[])).
% 50.23/32.84 tff(14933,plain,
% 50.23/32.84 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p1, s8) | (~node61(c_p1, s8)))),
% 50.23/32.84 inference(quant_inst,[status(thm)],[])).
% 50.23/32.85 tff(14934,plain,
% 50.23/32.85 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p1, s8) | (~node61(c_p1, s8))),
% 50.23/32.85 inference(modus_ponens,[status(thm)],[14933, 14932])).
% 50.23/32.85 tff(14935,plain,
% 50.23/32.85 (~node61(c_p1, s8)),
% 50.23/32.85 inference(unit_resolution,[status(thm)],[14934, 1891, 14931])).
% 50.23/32.85 tff(14936,plain,
% 50.23/32.85 (((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p1, s8)) | m_processor_v_REPLY_h_STALL(c_p1, s8) | node61(c_p1, s8))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p1, s8)) | m_processor_v_REPLY_h_STALL(c_p1, s8) | node61(c_p1, s8))),
% 50.23/32.85 inference(rewrite,[status(thm)],[])).
% 50.23/32.85 tff(14937,plain,
% 50.23/32.85 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p1, s8)) | m_processor_v_REPLY_h_STALL(c_p1, s8) | node61(c_p1, s8))),
% 50.23/32.85 inference(quant_inst,[status(thm)],[])).
% 50.23/32.85 tff(14938,plain,
% 50.23/32.85 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p1, s8)) | m_processor_v_REPLY_h_STALL(c_p1, s8) | node61(c_p1, s8)),
% 50.23/32.85 inference(modus_ponens,[status(thm)],[14937, 14936])).
% 50.23/32.85 tff(14939,plain,
% 50.23/32.85 (m_processor_v_REPLY_h_STALL(c_p1, s8) | node61(c_p1, s8)),
% 50.23/32.85 inference(unit_resolution,[status(thm)],[14938, 1417, 14890])).
% 50.23/32.85 tff(14940,plain,
% 50.23/32.85 (m_processor_v_REPLY_h_STALL(c_p1, s8)),
% 50.23/32.85 inference(unit_resolution,[status(thm)],[14939, 14935])).
% 50.23/32.85 tff(14941,plain,
% 50.23/32.85 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | (m_main_v_REPLY_h_STALL(s8) | (~m_processor_v_REPLY_h_STALL(c_p1, s8)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | m_main_v_REPLY_h_STALL(s8) | (~m_processor_v_REPLY_h_STALL(c_p1, s8)))),
% 50.23/32.85 inference(rewrite,[status(thm)],[])).
% 50.23/32.85 tff(14942,plain,
% 50.23/32.85 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | (m_main_v_REPLY_h_STALL(s8) | (~m_processor_v_REPLY_h_STALL(c_p1, s8)))),
% 50.23/32.85 inference(quant_inst,[status(thm)],[])).
% 50.23/32.85 tff(14943,plain,
% 50.23/32.85 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | m_main_v_REPLY_h_STALL(s8) | (~m_processor_v_REPLY_h_STALL(c_p1, s8))),
% 50.23/32.85 inference(modus_ponens,[status(thm)],[14942, 14941])).
% 50.23/32.85 tff(14944,plain,
% 50.23/32.85 (m_main_v_REPLY_h_STALL(s8)),
% 50.23/32.85 inference(unit_resolution,[status(thm)],[14943, 1399, 14940])).
% 50.23/32.85 tff(14945,plain,
% 50.23/32.85 (((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p0, s8)) | (~node60(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p0, s8)) | (~node60(c_p0, s8)))),
% 50.23/32.85 inference(rewrite,[status(thm)],[])).
% 50.23/32.85 tff(14946,plain,
% 50.23/32.85 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p0, s8)) | (~node60(c_p0, s8)))),
% 50.23/32.85 inference(quant_inst,[status(thm)],[])).
% 50.23/32.85 tff(14947,plain,
% 50.23/32.85 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p0, s8)) | (~node60(c_p0, s8))),
% 50.23/32.85 inference(modus_ponens,[status(thm)],[14946, 14945])).
% 50.23/32.85 tff(14948,plain,
% 50.23/32.85 (~m_processor_v_REPLY_h_STALL(c_p0, s8)),
% 50.23/32.85 inference(unit_resolution,[status(thm)],[14947, 1363, 14914])).
% 50.23/32.85 tff(14949,plain,
% 50.23/32.85 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | ((~m_main_v_REPLY_h_STALL(s8)) | m_processor_v_REPLY_h_STALL(c_p0, s8))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | (~m_main_v_REPLY_h_STALL(s8)) | m_processor_v_REPLY_h_STALL(c_p0, s8))),
% 50.23/32.85 inference(rewrite,[status(thm)],[])).
% 50.23/32.85 tff(14950,plain,
% 50.23/32.85 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | ((~m_main_v_REPLY_h_STALL(s8)) | m_processor_v_REPLY_h_STALL(c_p0, s8))),
% 50.23/32.85 inference(quant_inst,[status(thm)],[])).
% 50.23/32.85 tff(14951,plain,
% 50.23/32.85 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | (~m_main_v_REPLY_h_STALL(s8)) | m_processor_v_REPLY_h_STALL(c_p0, s8)),
% 50.23/32.85 inference(modus_ponens,[status(thm)],[14950, 14949])).
% 50.23/32.85 tff(14952,plain,
% 50.23/32.85 ($false),
% 50.23/32.85 inference(unit_resolution,[status(thm)],[14951, 1381, 14948, 14944])).
% 50.23/32.85 tff(14953,plain,((~node60(c_p0, s8)) | (~m_processor_v_abort(c_p1, s8)) | node59(c_p0, s8)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.85 tff(14954,plain,
% 50.23/32.85 (node59(c_p0, s8)),
% 50.23/32.85 inference(unit_resolution,[status(thm)],[14953, 14913, 14890])).
% 50.23/32.85 tff(14955,plain,
% 50.23/32.85 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s8, c_read_h_owned)) | (~node59(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s8, c_read_h_owned)) | (~node59(c_p0, s8)))),
% 50.23/32.85 inference(rewrite,[status(thm)],[])).
% 50.23/32.85 tff(14956,plain,
% 50.23/32.85 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s8, c_read_h_owned)) | (~node59(c_p0, s8)))),
% 50.23/32.85 inference(quant_inst,[status(thm)],[])).
% 50.23/32.85 tff(14957,plain,
% 50.23/32.85 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s8, c_read_h_owned)) | (~node59(c_p0, s8))),
% 50.23/32.85 inference(modus_ponens,[status(thm)],[14956, 14955])).
% 50.23/32.85 tff(14958,plain,
% 50.23/32.85 (~m_processor_v_CMD(c_p0, s8, c_read_h_owned)),
% 50.23/32.85 inference(unit_resolution,[status(thm)],[14957, 707, 14954])).
% 50.23/32.85 tff(14959,plain,
% 50.23/32.85 (~node37(c_p0, s8, s9)),
% 50.23/32.85 inference(unit_resolution,[status(thm)],[14778, 14759, 14408])).
% 50.23/32.85 tff(14960,assumption,(node33(c_p0, s8, s9)), introduced(assumption)).
% 50.23/32.85 tff(14961,plain,
% 50.23/32.85 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p0, s8, c_owned) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~node33(c_p0, s8, s9)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p0, s8, c_owned) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~node33(c_p0, s8, s9)))),
% 50.23/32.85 inference(rewrite,[status(thm)],[])).
% 50.23/32.85 tff(14962,plain,
% 50.23/32.85 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p0, s8, c_owned) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~node33(c_p0, s8, s9)))),
% 50.23/32.85 inference(quant_inst,[status(thm)],[])).
% 50.23/32.85 tff(14963,plain,
% 50.23/32.85 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p0, s8, c_owned) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~node33(c_p0, s8, s9))),
% 50.23/32.85 inference(modus_ponens,[status(thm)],[14962, 14961])).
% 50.23/32.85 tff(14964,plain,
% 50.23/32.85 ($false),
% 50.23/32.85 inference(unit_resolution,[status(thm)],[14963, 830, 14408, 14759, 14960])).
% 50.23/32.85 tff(14965,plain,((~node33(c_p0, s8, s9)) | m_processor_v_state(c_p0, s8, c_owned) | (~m_processor_v_state(c_p0, s9, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.23/32.85 tff(14966,plain,
% 50.23/32.85 (~node33(c_p0, s8, s9)),
% 50.23/32.85 inference(unit_resolution,[status(thm)],[14965, 14759, 14408])).
% 50.23/32.85 tff(14967,assumption,(~m_processor_v_CMD(c_p0, s8, c_read_h_shared)), introduced(assumption)).
% 50.23/32.85 tff(14968,assumption,(node34(c_p0, s8, s9)), introduced(assumption)).
% 50.23/32.85 tff(14969,plain,
% 50.23/32.85 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s8, c_write_h_invalid)) | m_processor_v_state(c_p0, s9, c_invalid) | (~node34(c_p0, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s8, c_write_h_invalid)) | m_processor_v_state(c_p0, s9, c_invalid) | (~node34(c_p0, s8, s9)))),
% 50.23/32.85 inference(rewrite,[status(thm)],[])).
% 50.23/32.85 tff(14970,plain,
% 50.23/32.85 (((~node34(c_p0, s8, s9)) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | m_processor_v_state(c_p0, s9, c_invalid) | (~m_processor_v_CMD(c_p0, s8, c_write_h_invalid))) <=> (m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s8, c_write_h_invalid)) | m_processor_v_state(c_p0, s9, c_invalid) | (~node34(c_p0, s8, s9)))),
% 50.23/32.85 inference(rewrite,[status(thm)],[])).
% 50.23/32.85 tff(14971,plain,
% 50.23/32.85 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s8, s9)) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | m_processor_v_state(c_p0, s9, c_invalid) | (~m_processor_v_CMD(c_p0, s8, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s8, c_write_h_invalid)) | m_processor_v_state(c_p0, s9, c_invalid) | (~node34(c_p0, s8, s9))))),
% 50.23/32.85 inference(monotonicity,[status(thm)],[14970])).
% 50.23/32.85 tff(14972,plain,
% 50.23/32.85 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s8, s9)) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | m_processor_v_state(c_p0, s9, c_invalid) | (~m_processor_v_CMD(c_p0, s8, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s8, c_write_h_invalid)) | m_processor_v_state(c_p0, s9, c_invalid) | (~node34(c_p0, s8, s9)))),
% 50.23/32.85 inference(transitivity,[status(thm)],[14971, 14969])).
% 50.23/32.85 tff(14973,plain,
% 50.23/32.85 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s8, s9)) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | m_processor_v_state(c_p0, s9, c_invalid) | (~m_processor_v_CMD(c_p0, s8, c_write_h_invalid)))),
% 50.23/32.85 inference(quant_inst,[status(thm)],[])).
% 50.23/32.85 tff(14974,plain,
% 50.23/32.85 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s8, c_write_h_invalid)) | m_processor_v_state(c_p0, s9, c_invalid) | (~node34(c_p0, s8, s9))),
% 50.23/32.85 inference(modus_ponens,[status(thm)],[14973, 14972])).
% 50.23/32.85 tff(14975,plain,
% 50.23/32.85 (~m_processor_v_CMD(c_p0, s8, c_write_h_invalid)),
% 50.23/32.85 inference(unit_resolution,[status(thm)],[14974, 512, 14967, 14780, 14968, 14863])).
% 50.23/32.85 tff(14976,assumption,(~node33(c_p0, s8, s9)), introduced(assumption)).
% 50.23/32.85 tff(14977,assumption,(~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid)), introduced(assumption)).
% 50.23/32.85 tff(14978,assumption,(~m_processor_v_CMD(c_p0, s8, c_write_h_invalid)), introduced(assumption)).
% 50.23/32.85 tff(14979,plain,
% 50.23/32.85 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s8, c_write_h_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node34(c_p0, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s8, c_write_h_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node34(c_p0, s8, s9)))),
% 50.23/32.85 inference(rewrite,[status(thm)],[])).
% 50.23/32.85 tff(14980,plain,
% 50.23/32.85 (((~node34(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s8, c_write_h_shared))) <=> (m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s8, c_write_h_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node34(c_p0, s8, s9)))),
% 50.23/32.85 inference(rewrite,[status(thm)],[])).
% 50.23/32.85 tff(14981,plain,
% 50.23/32.85 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s8, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s8, c_write_h_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node34(c_p0, s8, s9))))),
% 50.23/32.85 inference(monotonicity,[status(thm)],[14980])).
% 50.23/32.85 tff(14982,plain,
% 50.23/32.85 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s8, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s8, c_write_h_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node34(c_p0, s8, s9)))),
% 50.23/32.85 inference(transitivity,[status(thm)],[14981, 14979])).
% 50.23/32.85 tff(14983,plain,
% 50.23/32.85 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s8, c_write_h_shared)))),
% 50.23/32.85 inference(quant_inst,[status(thm)],[])).
% 50.23/32.85 tff(14984,plain,
% 50.23/32.85 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s8, c_write_h_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node34(c_p0, s8, s9))),
% 50.23/32.85 inference(modus_ponens,[status(thm)],[14983, 14982])).
% 50.23/32.85 tff(14985,plain,
% 50.23/32.85 (m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s8, c_write_h_shared)) | m_processor_v_state(c_p0, s9, c_shared)),
% 50.23/32.85 inference(unit_resolution,[status(thm)],[14984, 456, 14967, 14968, 14863])).
% 50.23/32.85 tff(14986,plain,
% 50.23/32.85 (~m_processor_v_CMD(c_p0, s8, c_write_h_shared)),
% 50.23/32.85 inference(unit_resolution,[status(thm)],[14985, 14838, 14978, 14977])).
% 50.23/32.85 tff(14987,plain,
% 50.23/32.85 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | node33(c_p0, s8, s9) | (~node34(c_p0, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | node33(c_p0, s8, s9) | (~node34(c_p0, s8, s9)))),
% 50.23/32.85 inference(rewrite,[status(thm)],[])).
% 50.23/32.85 tff(14988,plain,
% 50.23/32.85 ((node33(c_p0, s8, s9) | (~node34(c_p0, s8, s9)) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | node33(c_p0, s8, s9) | (~node34(c_p0, s8, s9)))),
% 50.23/32.85 inference(rewrite,[status(thm)],[])).
% 50.23/32.85 tff(14989,plain,
% 50.23/32.85 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s8, s9) | (~node34(c_p0, s8, s9)) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | node33(c_p0, s8, s9) | (~node34(c_p0, s8, s9))))),
% 50.23/32.85 inference(monotonicity,[status(thm)],[14988])).
% 50.23/32.85 tff(14990,plain,
% 50.23/32.85 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s8, s9) | (~node34(c_p0, s8, s9)) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | node33(c_p0, s8, s9) | (~node34(c_p0, s8, s9)))),
% 50.23/32.85 inference(transitivity,[status(thm)],[14989, 14987])).
% 50.23/32.85 tff(14991,plain,
% 50.23/32.85 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s8, s9) | (~node34(c_p0, s8, s9)) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared))),
% 50.23/32.86 inference(quant_inst,[status(thm)],[])).
% 50.23/32.86 tff(14992,plain,
% 50.23/32.86 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | node33(c_p0, s8, s9) | (~node34(c_p0, s8, s9))),
% 50.23/32.86 inference(modus_ponens,[status(thm)],[14991, 14990])).
% 50.23/32.86 tff(14993,plain,
% 50.23/32.86 (m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_shared) | node33(c_p0, s8, s9)),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[14992, 474, 14967, 14968, 14863])).
% 50.23/32.86 tff(14994,plain,
% 50.23/32.86 (m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared)),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[14993, 14986, 14978, 14977, 14976])).
% 50.23/32.86 tff(14995,plain,
% 50.23/32.86 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node34(c_p0, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node34(c_p0, s8, s9)))),
% 50.23/32.86 inference(rewrite,[status(thm)],[])).
% 50.23/32.86 tff(14996,plain,
% 50.23/32.86 (((~node34(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared))) <=> (m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node34(c_p0, s8, s9)))),
% 50.23/32.86 inference(rewrite,[status(thm)],[])).
% 50.23/32.86 tff(14997,plain,
% 50.23/32.86 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node34(c_p0, s8, s9))))),
% 50.23/32.86 inference(monotonicity,[status(thm)],[14996])).
% 50.23/32.86 tff(14998,plain,
% 50.23/32.86 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node34(c_p0, s8, s9)))),
% 50.23/32.86 inference(transitivity,[status(thm)],[14997, 14995])).
% 50.23/32.86 tff(14999,plain,
% 50.23/32.86 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared)))),
% 50.23/32.86 inference(quant_inst,[status(thm)],[])).
% 50.23/32.86 tff(15000,plain,
% 50.23/32.86 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node34(c_p0, s8, s9))),
% 50.23/32.86 inference(modus_ponens,[status(thm)],[14999, 14998])).
% 50.23/32.86 tff(15001,plain,
% 50.23/32.86 (m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared)) | m_processor_v_state(c_p0, s9, c_shared)),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[15000, 492, 14967, 14968, 14863])).
% 50.23/32.86 tff(15002,plain,
% 50.23/32.86 ($false),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[15001, 14994, 14986, 14978, 14977, 14838])).
% 50.23/32.86 tff(15003,plain,(m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | (~node34(c_p0, s8, s9)) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | node33(c_p0, s8, s9)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.86 tff(15004,plain,
% 50.23/32.86 (m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid)),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[15003, 14975, 14838, 14967, 14976, 14863, 14968])).
% 50.23/32.86 tff(15005,plain,
% 50.23/32.86 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p0, s9, c_invalid) | (~node34(c_p0, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p0, s9, c_invalid) | (~node34(c_p0, s8, s9)))),
% 50.23/32.86 inference(rewrite,[status(thm)],[])).
% 50.23/32.86 tff(15006,plain,
% 50.23/32.86 (((~node34(c_p0, s8, s9)) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | m_processor_v_state(c_p0, s9, c_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid))) <=> (m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p0, s9, c_invalid) | (~node34(c_p0, s8, s9)))),
% 50.23/32.86 inference(rewrite,[status(thm)],[])).
% 50.23/32.86 tff(15007,plain,
% 50.23/32.86 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s8, s9)) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | m_processor_v_state(c_p0, s9, c_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p0, s9, c_invalid) | (~node34(c_p0, s8, s9))))),
% 50.23/32.86 inference(monotonicity,[status(thm)],[15006])).
% 50.23/32.86 tff(15008,plain,
% 50.23/32.86 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s8, s9)) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | m_processor_v_state(c_p0, s9, c_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p0, s9, c_invalid) | (~node34(c_p0, s8, s9)))),
% 50.23/32.86 inference(transitivity,[status(thm)],[15007, 15005])).
% 50.23/32.86 tff(15009,plain,
% 50.23/32.86 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s8, s9)) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | m_processor_v_state(c_p0, s9, c_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid)))),
% 50.23/32.86 inference(quant_inst,[status(thm)],[])).
% 50.23/32.86 tff(15010,plain,
% 50.23/32.86 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p0, s9, c_invalid) | (~node34(c_p0, s8, s9))),
% 50.23/32.86 inference(modus_ponens,[status(thm)],[15009, 15008])).
% 50.23/32.86 tff(15011,plain,
% 50.23/32.86 (m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid))),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[15010, 438, 14967, 14780, 14968, 14863])).
% 50.23/32.86 tff(15012,plain,
% 50.23/32.86 ($false),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[15011, 15004, 14975])).
% 50.23/32.86 tff(15013,plain,((~node34(c_p0, s8, s9)) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_state(c_p0, s9, c_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | m_processor_v_state(c_p0, s9, c_shared) | node33(c_p0, s8, s9)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.86 tff(15014,plain,
% 50.23/32.86 (~node34(c_p0, s8, s9)),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[15013, 14771, 14967, 14863, 14767, 14966])).
% 50.23/32.86 tff(15015,assumption,(~node34(c_p0, s8, s9)), introduced(assumption)).
% 50.23/32.86 tff(15016,plain,
% 50.23/32.86 (m_processor_v_master(c_p0, s8)),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[14879, 14814, 14780, 14838, 14863, 14813])).
% 50.23/32.86 tff(15017,plain,
% 50.23/32.86 ($false),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[14898, 15016, 14814, 15015])).
% 50.23/32.86 tff(15018,plain,(m_processor_v_abort(c_p0, s8) | node34(c_p0, s8, s9) | m_processor_v_state(c_p0, s9, c_invalid) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | node37(c_p0, s8, s9)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.86 tff(15019,plain,
% 50.23/32.86 (m_processor_v_abort(c_p0, s8)),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[15018, 15014, 14771, 14767, 14863, 14959])).
% 50.23/32.86 tff(15020,plain,
% 50.23/32.86 (node32(c_p0, s8, s9)),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[14811, 15019])).
% 50.23/32.86 tff(15021,plain,
% 50.23/32.86 (~m_processor_v_state(c_p0, s8, c_shared)),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[14847, 15020, 14767])).
% 50.23/32.86 tff(15022,plain,
% 50.23/32.86 (~m_processor_v_state(c_p0, s8, c_invalid)),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[14797, 15020, 14771])).
% 50.23/32.86 tff(15023,plain,
% 50.23/32.86 ($false),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[14787, 15022, 15021])).
% 50.23/32.86 tff(15024,plain,((~m_processor_v_state(c_p0, s9, c_owned)) | m_processor_v_state(c_p0, s8, c_owned) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | m_processor_v_CMD(c_p0, s8, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.86 tff(15025,plain,
% 50.23/32.86 ($false),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[15024, 14958, 14906, 14408, 14759])).
% 50.23/32.86 tff(15026,plain,(m_processor_v_abort(c_p0, s8) | m_processor_v_state(c_p0, s8, c_owned) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~m_processor_v_abort(c_p1, s8))), inference(lemma,lemma(discharge,[]))).
% 50.23/32.86 tff(15027,plain,
% 50.23/32.86 (m_processor_v_abort(c_p0, s8)),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[15026, 14408, 14759, 14890])).
% 50.23/32.86 tff(15028,plain,
% 50.23/32.86 (node32(c_p0, s8, s9)),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[14811, 15027])).
% 50.23/32.86 tff(15029,plain,
% 50.23/32.86 (~m_processor_v_state(c_p0, s8, c_shared)),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[14847, 15028, 14767])).
% 50.23/32.86 tff(15030,plain,
% 50.23/32.86 (~m_processor_v_state(c_p0, s8, c_invalid)),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[14797, 15028, 14771])).
% 50.23/32.86 tff(15031,plain,
% 50.23/32.86 ($false),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[14786, 153, 14408, 15030, 15029])).
% 50.23/32.86 tff(15032,plain,(m_processor_v_state(c_p0, s8, c_owned) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~m_processor_v_abort(c_p1, s8))), inference(lemma,lemma(discharge,[]))).
% 50.23/32.86 tff(15033,plain,
% 50.23/32.86 (~m_processor_v_abort(c_p1, s8)),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[15032, 14759, 14408])).
% 50.23/32.86 tff(15034,assumption,(~node60(c_p1, s8)), introduced(assumption)).
% 50.23/32.86 tff(15035,plain,
% 50.23/32.86 (((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p1, s8) | node60(c_p1, s8))) <=> ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p1, s8) | node60(c_p1, s8))),
% 50.23/32.86 inference(rewrite,[status(thm)],[])).
% 50.23/32.86 tff(15036,plain,
% 50.23/32.86 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p1, s8) | node60(c_p1, s8))),
% 50.23/32.86 inference(quant_inst,[status(thm)],[])).
% 50.23/32.86 tff(15037,plain,
% 50.23/32.86 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p1, s8) | node60(c_p1, s8)),
% 50.23/32.86 inference(modus_ponens,[status(thm)],[15036, 15035])).
% 50.23/32.86 tff(15038,plain,
% 50.23/32.86 ($false),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[15037, 693, 6414, 15034])).
% 50.23/32.86 tff(15039,plain,(m_processor_v_abort(c_p1, s8) | node60(c_p1, s8)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.86 tff(15040,plain,
% 50.23/32.86 (node60(c_p1, s8)),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[15039, 15033])).
% 50.23/32.86 tff(15041,assumption,(m_processor_v_abort(c_p0, s8)), introduced(assumption)).
% 50.23/32.86 tff(15042,assumption,(node60(c_p1, s8)), introduced(assumption)).
% 50.23/32.86 tff(15043,assumption,(m_processor_v_REPLY_h_STALL(c_p1, s8)), introduced(assumption)).
% 50.23/32.86 tff(15044,plain,
% 50.23/32.86 (((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p1, s8)) | (~node60(c_p1, s8)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p1, s8)) | (~node60(c_p1, s8)))),
% 50.23/32.86 inference(rewrite,[status(thm)],[])).
% 50.23/32.86 tff(15045,plain,
% 50.23/32.86 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p1, s8)) | (~node60(c_p1, s8)))),
% 50.23/32.86 inference(quant_inst,[status(thm)],[])).
% 50.23/32.86 tff(15046,plain,
% 50.23/32.86 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p1, s8)) | (~node60(c_p1, s8))),
% 50.23/32.86 inference(modus_ponens,[status(thm)],[15045, 15044])).
% 50.23/32.86 tff(15047,plain,
% 50.23/32.86 ($false),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[15046, 1363, 15043, 15042])).
% 50.23/32.86 tff(15048,plain,((~m_processor_v_REPLY_h_STALL(c_p1, s8)) | (~node60(c_p1, s8))), inference(lemma,lemma(discharge,[]))).
% 50.23/32.86 tff(15049,plain,
% 50.23/32.86 (~m_processor_v_REPLY_h_STALL(c_p1, s8)),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[15048, 15042])).
% 50.23/32.86 tff(15050,assumption,(m_main_v_REPLY_h_STALL(s8)), introduced(assumption)).
% 50.23/32.86 tff(15051,assumption,(~m_processor_v_REPLY_h_STALL(c_p1, s8)), introduced(assumption)).
% 50.23/32.86 tff(15052,plain,
% 50.23/32.86 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | ((~m_main_v_REPLY_h_STALL(s8)) | m_processor_v_REPLY_h_STALL(c_p1, s8))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | (~m_main_v_REPLY_h_STALL(s8)) | m_processor_v_REPLY_h_STALL(c_p1, s8))),
% 50.23/32.86 inference(rewrite,[status(thm)],[])).
% 50.23/32.86 tff(15053,plain,
% 50.23/32.86 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | ((~m_main_v_REPLY_h_STALL(s8)) | m_processor_v_REPLY_h_STALL(c_p1, s8))),
% 50.23/32.86 inference(quant_inst,[status(thm)],[])).
% 50.23/32.86 tff(15054,plain,
% 50.23/32.86 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | (~m_main_v_REPLY_h_STALL(s8)) | m_processor_v_REPLY_h_STALL(c_p1, s8)),
% 50.23/32.86 inference(modus_ponens,[status(thm)],[15053, 15052])).
% 50.23/32.86 tff(15055,plain,
% 50.23/32.86 ($false),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[15054, 1713, 15051, 15050])).
% 50.23/32.86 tff(15056,plain,((~m_main_v_REPLY_h_STALL(s8)) | m_processor_v_REPLY_h_STALL(c_p1, s8)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.86 tff(15057,plain,
% 50.23/32.86 (~m_main_v_REPLY_h_STALL(s8)),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[15056, 15049])).
% 50.23/32.86 tff(15058,assumption,(m_processor_v_REPLY_h_STALL(c_p0, s8)), introduced(assumption)).
% 50.23/32.86 tff(15059,assumption,(~m_main_v_REPLY_h_STALL(s8)), introduced(assumption)).
% 50.23/32.86 tff(15060,plain,
% 50.23/32.86 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | (m_main_v_REPLY_h_STALL(s8) | (~m_processor_v_REPLY_h_STALL(c_p0, s8)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | m_main_v_REPLY_h_STALL(s8) | (~m_processor_v_REPLY_h_STALL(c_p0, s8)))),
% 50.23/32.86 inference(rewrite,[status(thm)],[])).
% 50.23/32.86 tff(15061,plain,
% 50.23/32.86 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | (m_main_v_REPLY_h_STALL(s8) | (~m_processor_v_REPLY_h_STALL(c_p0, s8)))),
% 50.23/32.86 inference(quant_inst,[status(thm)],[])).
% 50.23/32.86 tff(15062,plain,
% 50.23/32.86 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | m_main_v_REPLY_h_STALL(s8) | (~m_processor_v_REPLY_h_STALL(c_p0, s8))),
% 50.23/32.86 inference(modus_ponens,[status(thm)],[15061, 15060])).
% 50.23/32.86 tff(15063,plain,
% 50.23/32.86 ($false),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[15062, 1729, 15059, 15058])).
% 50.23/32.86 tff(15064,plain,(m_main_v_REPLY_h_STALL(s8) | (~m_processor_v_REPLY_h_STALL(c_p0, s8))), inference(lemma,lemma(discharge,[]))).
% 50.23/32.86 tff(15065,plain,
% 50.23/32.86 (~m_processor_v_REPLY_h_STALL(c_p0, s8)),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[15064, 15057])).
% 50.23/32.86 tff(15066,assumption,(~m_processor_v_REPLY_h_STALL(c_p0, s8)), introduced(assumption)).
% 50.23/32.86 tff(15067,assumption,(~node61(c_p0, s8)), introduced(assumption)).
% 50.23/32.86 tff(15068,plain,
% 50.23/32.86 (((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p0, s8)) | m_processor_v_REPLY_h_STALL(c_p0, s8) | node61(c_p0, s8))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p0, s8)) | m_processor_v_REPLY_h_STALL(c_p0, s8) | node61(c_p0, s8))),
% 50.23/32.86 inference(rewrite,[status(thm)],[])).
% 50.23/32.86 tff(15069,plain,
% 50.23/32.86 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p0, s8)) | m_processor_v_REPLY_h_STALL(c_p0, s8) | node61(c_p0, s8))),
% 50.23/32.86 inference(quant_inst,[status(thm)],[])).
% 50.23/32.86 tff(15070,plain,
% 50.23/32.86 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p0, s8)) | m_processor_v_REPLY_h_STALL(c_p0, s8) | node61(c_p0, s8)),
% 50.23/32.86 inference(modus_ponens,[status(thm)],[15069, 15068])).
% 50.23/32.86 tff(15071,plain,
% 50.23/32.86 ($false),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[15070, 1417, 15041, 15067, 15066])).
% 50.23/32.86 tff(15072,plain,((~m_processor_v_abort(c_p0, s8)) | node61(c_p0, s8) | m_processor_v_REPLY_h_STALL(c_p0, s8)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.86 tff(15073,plain,
% 50.23/32.86 (node61(c_p0, s8)),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[15072, 15065, 15041])).
% 50.23/32.86 tff(15074,assumption,(node61(c_p0, s8)), introduced(assumption)).
% 50.23/32.86 tff(15075,plain,
% 50.23/32.86 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~node61(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~node61(c_p0, s8)))),
% 50.23/32.86 inference(rewrite,[status(thm)],[])).
% 50.23/32.86 tff(15076,plain,
% 50.23/32.86 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~node61(c_p0, s8)))),
% 50.23/32.86 inference(quant_inst,[status(thm)],[])).
% 50.23/32.86 tff(15077,plain,
% 50.23/32.86 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~node61(c_p0, s8))),
% 50.23/32.86 inference(modus_ponens,[status(thm)],[15076, 15075])).
% 50.23/32.86 tff(15078,plain,
% 50.23/32.86 ($false),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[15077, 2268, 14967, 15074, 14863])).
% 50.23/32.86 tff(15079,plain,((~node61(c_p0, s8)) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.86 tff(15080,plain,
% 50.23/32.86 (m_processor_v_CMD(c_p0, s8, c_read_h_shared)),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[15079, 15073, 14863])).
% 50.23/32.86 tff(15081,assumption,(m_processor_v_CMD(c_p0, s8, c_read_h_shared)), introduced(assumption)).
% 50.23/32.86 tff(15082,assumption,(~node2(s8)), introduced(assumption)).
% 50.23/32.86 tff(15083,plain,
% 50.23/32.86 ((~![X: $i] : node2(X)) | node2(s8)),
% 50.23/32.86 inference(quant_inst,[status(thm)],[])).
% 50.23/32.86 tff(15084,plain,
% 50.23/32.86 ($false),
% 50.23/32.86 inference(unit_resolution,[status(thm)],[15083, 1215, 15082])).
% 50.23/32.86 tff(15085,plain,(node2(s8)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.86 tff(15086,plain,
% 50.23/32.86 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s8, c_read_h_shared) | (~node2(s8)) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s8, c_read_h_shared) | (~node2(s8)) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)))),
% 50.23/32.86 inference(rewrite,[status(thm)],[])).
% 50.23/32.86 tff(15087,plain,
% 50.23/32.86 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s8, c_read_h_shared) | (~node2(s8)) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)))),
% 50.23/32.86 inference(quant_inst,[status(thm)],[])).
% 50.23/32.86 tff(15088,plain,
% 50.23/32.87 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s8, c_read_h_shared) | (~node2(s8)) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared))),
% 50.23/32.87 inference(modus_ponens,[status(thm)],[15087, 15086])).
% 50.23/32.87 tff(15089,plain,
% 50.23/32.87 ($false),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[15088, 1612, 15085, 6506, 15081])).
% 50.23/32.87 tff(15090,plain,(m_main_v_CMD(s8, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 50.23/32.87 tff(15091,plain,
% 50.23/32.87 (m_main_v_CMD(s8, c_read_h_shared)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[15090, 15080])).
% 50.23/32.87 tff(15092,plain,
% 50.23/32.87 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s8, c_read_h_shared) | (~m_main_v_CMD(s8, c_read_h_shared)) | (~node3(s8)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | (~m_main_v_CMD(s8, c_read_h_shared)) | (~node3(s8)))),
% 50.23/32.87 inference(rewrite,[status(thm)],[])).
% 50.23/32.87 tff(15093,plain,
% 50.23/32.87 (((~m_main_v_CMD(s8, c_read_h_shared)) | (~node3(s8)) | m_processor_v_CMD(c_p1, s8, c_read_h_shared)) <=> (m_processor_v_CMD(c_p1, s8, c_read_h_shared) | (~m_main_v_CMD(s8, c_read_h_shared)) | (~node3(s8)))),
% 50.23/32.87 inference(rewrite,[status(thm)],[])).
% 50.23/32.87 tff(15094,plain,
% 50.23/32.87 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s8, c_read_h_shared)) | (~node3(s8)) | m_processor_v_CMD(c_p1, s8, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s8, c_read_h_shared) | (~m_main_v_CMD(s8, c_read_h_shared)) | (~node3(s8))))),
% 50.23/32.87 inference(monotonicity,[status(thm)],[15093])).
% 50.23/32.87 tff(15095,plain,
% 50.23/32.87 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s8, c_read_h_shared)) | (~node3(s8)) | m_processor_v_CMD(c_p1, s8, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | (~m_main_v_CMD(s8, c_read_h_shared)) | (~node3(s8)))),
% 50.23/32.87 inference(transitivity,[status(thm)],[15094, 15092])).
% 50.23/32.87 tff(15096,plain,
% 50.23/32.87 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s8, c_read_h_shared)) | (~node3(s8)) | m_processor_v_CMD(c_p1, s8, c_read_h_shared))),
% 50.23/32.87 inference(quant_inst,[status(thm)],[])).
% 50.23/32.87 tff(15097,plain,
% 50.23/32.87 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | (~m_main_v_CMD(s8, c_read_h_shared)) | (~node3(s8))),
% 50.23/32.87 inference(modus_ponens,[status(thm)],[15096, 15095])).
% 50.23/32.87 tff(15098,plain,
% 50.23/32.87 (m_processor_v_CMD(c_p1, s8, c_read_h_shared)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[15097, 1945, 6484, 15091])).
% 50.23/32.87 tff(15099,plain,
% 50.23/32.87 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s8, c_read_h_shared)) | (~node59(c_p1, s8)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)) | (~node59(c_p1, s8)))),
% 50.23/32.87 inference(rewrite,[status(thm)],[])).
% 50.23/32.87 tff(15100,plain,
% 50.23/32.87 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s8, c_read_h_shared)) | (~node59(c_p1, s8)))),
% 50.23/32.87 inference(quant_inst,[status(thm)],[])).
% 50.23/32.87 tff(15101,plain,
% 50.23/32.87 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)) | (~node59(c_p1, s8))),
% 50.23/32.87 inference(modus_ponens,[status(thm)],[15100, 15099])).
% 50.23/32.87 tff(15102,plain,
% 50.23/32.87 (~node59(c_p1, s8)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[15101, 3834, 15098])).
% 50.23/32.87 tff(15103,assumption,(~m_processor_v_REPLY_h_WAITING(c_p0, s8)), introduced(assumption)).
% 50.23/32.87 tff(15104,plain,
% 50.23/32.87 (((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p0, s8) | (~node61(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p0, s8) | (~node61(c_p0, s8)))),
% 50.23/32.87 inference(rewrite,[status(thm)],[])).
% 50.23/32.87 tff(15105,plain,
% 50.23/32.87 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p0, s8) | (~node61(c_p0, s8)))),
% 50.23/32.87 inference(quant_inst,[status(thm)],[])).
% 50.23/32.87 tff(15106,plain,
% 50.23/32.87 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p0, s8) | (~node61(c_p0, s8))),
% 50.23/32.87 inference(modus_ponens,[status(thm)],[15105, 15104])).
% 50.23/32.87 tff(15107,plain,
% 50.23/32.87 ($false),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[15106, 1891, 15103, 15074])).
% 50.23/32.87 tff(15108,plain,((~node61(c_p0, s8)) | m_processor_v_REPLY_h_WAITING(c_p0, s8)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.87 tff(15109,plain,
% 50.23/32.87 (m_processor_v_REPLY_h_WAITING(c_p0, s8)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[15108, 15073])).
% 50.23/32.87 tff(15110,assumption,(~m_main_v_REPLY_h_WAITING(s8)), introduced(assumption)).
% 50.23/32.87 tff(15111,assumption,(m_processor_v_REPLY_h_WAITING(c_p0, s8)), introduced(assumption)).
% 50.23/32.87 tff(15112,plain,
% 50.23/32.87 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | (m_main_v_REPLY_h_WAITING(s8) | (~m_processor_v_REPLY_h_WAITING(c_p0, s8)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | m_main_v_REPLY_h_WAITING(s8) | (~m_processor_v_REPLY_h_WAITING(c_p0, s8)))),
% 50.23/32.87 inference(rewrite,[status(thm)],[])).
% 50.23/32.87 tff(15113,plain,
% 50.23/32.87 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | (m_main_v_REPLY_h_WAITING(s8) | (~m_processor_v_REPLY_h_WAITING(c_p0, s8)))),
% 50.23/32.87 inference(quant_inst,[status(thm)],[])).
% 50.23/32.87 tff(15114,plain,
% 50.23/32.87 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | m_main_v_REPLY_h_WAITING(s8) | (~m_processor_v_REPLY_h_WAITING(c_p0, s8))),
% 50.23/32.87 inference(modus_ponens,[status(thm)],[15113, 15112])).
% 50.23/32.87 tff(15115,plain,
% 50.23/32.87 ($false),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[15114, 1909, 15111, 15110])).
% 50.23/32.87 tff(15116,plain,(m_main_v_REPLY_h_WAITING(s8) | (~m_processor_v_REPLY_h_WAITING(c_p0, s8))), inference(lemma,lemma(discharge,[]))).
% 50.23/32.87 tff(15117,plain,
% 50.23/32.87 (m_main_v_REPLY_h_WAITING(s8)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[15116, 15109])).
% 50.23/32.87 tff(15118,plain,
% 50.23/32.87 (((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | ((~m_main_v_REPLY_h_WAITING(s8)) | m_processor_v_REPLY_h_WAITING(c_p1, s8))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | (~m_main_v_REPLY_h_WAITING(s8)) | m_processor_v_REPLY_h_WAITING(c_p1, s8))),
% 50.23/32.87 inference(rewrite,[status(thm)],[])).
% 50.23/32.87 tff(15119,plain,
% 50.23/32.87 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | ((~m_main_v_REPLY_h_WAITING(s8)) | m_processor_v_REPLY_h_WAITING(c_p1, s8))),
% 50.23/32.87 inference(quant_inst,[status(thm)],[])).
% 50.23/32.87 tff(15120,plain,
% 50.23/32.87 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | (~m_main_v_REPLY_h_WAITING(s8)) | m_processor_v_REPLY_h_WAITING(c_p1, s8)),
% 50.23/32.87 inference(modus_ponens,[status(thm)],[15119, 15118])).
% 50.23/32.87 tff(15121,plain,
% 50.23/32.87 (m_processor_v_REPLY_h_WAITING(c_p1, s8)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[15120, 745, 15117])).
% 50.23/32.87 tff(15122,plain,
% 50.23/32.87 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p1, s8)) | (~node60(c_p1, s8)) | node59(c_p1, s8))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s8)) | (~node60(c_p1, s8)) | node59(c_p1, s8))),
% 50.23/32.87 inference(rewrite,[status(thm)],[])).
% 50.23/32.87 tff(15123,plain,
% 50.23/32.87 ((node59(c_p1, s8) | (~node60(c_p1, s8)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s8))) <=> ((~m_processor_v_REPLY_h_WAITING(c_p1, s8)) | (~node60(c_p1, s8)) | node59(c_p1, s8))),
% 50.23/32.87 inference(rewrite,[status(thm)],[])).
% 50.23/32.87 tff(15124,plain,
% 50.23/32.87 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s8) | (~node60(c_p1, s8)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s8)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p1, s8)) | (~node60(c_p1, s8)) | node59(c_p1, s8)))),
% 50.23/32.87 inference(monotonicity,[status(thm)],[15123])).
% 50.23/32.87 tff(15125,plain,
% 50.23/32.87 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s8) | (~node60(c_p1, s8)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s8)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s8)) | (~node60(c_p1, s8)) | node59(c_p1, s8))),
% 50.23/32.87 inference(transitivity,[status(thm)],[15124, 15122])).
% 50.23/32.87 tff(15126,plain,
% 50.23/32.87 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s8) | (~node60(c_p1, s8)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s8)))),
% 50.23/32.87 inference(quant_inst,[status(thm)],[])).
% 50.23/32.87 tff(15127,plain,
% 50.23/32.87 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s8)) | (~node60(c_p1, s8)) | node59(c_p1, s8)),
% 50.23/32.87 inference(modus_ponens,[status(thm)],[15126, 15125])).
% 50.23/32.87 tff(15128,plain,
% 50.23/32.87 ($false),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[15127, 724, 15042, 15121, 15102])).
% 50.23/32.87 tff(15129,plain,((~node60(c_p1, s8)) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_processor_v_abort(c_p0, s8))), inference(lemma,lemma(discharge,[]))).
% 50.23/32.87 tff(15130,plain,
% 50.23/32.87 (~m_processor_v_abort(c_p0, s8)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[15129, 14863, 15040])).
% 50.23/32.87 tff(15131,plain,
% 50.23/32.87 (node34(c_p0, s8, s9)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[15018, 14863, 14959, 14771, 14767, 15130])).
% 50.23/32.87 tff(15132,plain,
% 50.23/32.87 (m_processor_v_CMD(c_p0, s8, c_read_h_shared)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[15024, 14863, 14408, 14759])).
% 50.23/32.87 tff(15133,plain,
% 50.23/32.87 ($false),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[14905, 416, 15132, 14767, 15131])).
% 50.23/32.87 tff(15134,plain,(m_processor_v_CMD(c_p0, s8, c_read_h_owned) | m_processor_v_state(c_p0, s8, c_owned) | (~m_processor_v_state(c_p0, s9, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.23/32.87 tff(15135,plain,
% 50.23/32.87 (m_processor_v_CMD(c_p0, s8, c_read_h_owned)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[15134, 14760, 14759])).
% 50.23/32.87 tff(15136,plain,
% 50.23/32.87 (m_processor_v_state(c_p0, s8, c_invalid)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[14512, 14504, 14503])).
% 50.23/32.87 tff(15137,plain,
% 50.23/32.87 (~node32(c_p0, s8, s9)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[14797, 15136, 14771])).
% 50.23/32.87 tff(15138,plain,
% 50.23/32.87 (~m_processor_v_abort(c_p0, s8)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[14811, 15137])).
% 50.23/32.87 tff(15139,plain,
% 50.23/32.87 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s8, s9)) | node53(c_p0, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s8, s9)) | node53(c_p0, s8, s9))),
% 50.23/32.87 inference(rewrite,[status(thm)],[])).
% 50.23/32.87 tff(15140,plain,
% 50.23/32.87 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s8, s9)) | node53(c_p0, s8, s9))),
% 50.23/32.87 inference(quant_inst,[status(thm)],[])).
% 50.23/32.87 tff(15141,plain,
% 50.23/32.87 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s8, s9)) | node53(c_p0, s8, s9)),
% 50.23/32.87 inference(modus_ponens,[status(thm)],[15140, 15139])).
% 50.23/32.87 tff(15142,plain,
% 50.23/32.87 (node53(c_p0, s8, s9)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[15141, 575, 6377])).
% 50.23/32.87 tff(15143,plain,
% 50.23/32.87 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | node47(c_p0, s8) | (~m_processor_v_CMD(c_p0, s8, c_read_h_owned)) | m_processor_v_waiting(c_p0, s9) | (~node53(c_p0, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | node47(c_p0, s8) | (~m_processor_v_CMD(c_p0, s8, c_read_h_owned)) | m_processor_v_waiting(c_p0, s9) | (~node53(c_p0, s8, s9)))),
% 50.23/32.87 inference(rewrite,[status(thm)],[])).
% 50.23/32.87 tff(15144,plain,
% 50.23/32.87 ((m_processor_v_waiting(c_p0, s9) | (~m_processor_v_CMD(c_p0, s8, c_read_h_owned)) | (~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | node47(c_p0, s8) | (~node53(c_p0, s8, s9))) <=> ((~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | node47(c_p0, s8) | (~m_processor_v_CMD(c_p0, s8, c_read_h_owned)) | m_processor_v_waiting(c_p0, s9) | (~node53(c_p0, s8, s9)))),
% 50.23/32.87 inference(rewrite,[status(thm)],[])).
% 50.23/32.87 tff(15145,plain,
% 50.23/32.87 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s9) | (~m_processor_v_CMD(c_p0, s8, c_read_h_owned)) | (~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | node47(c_p0, s8) | (~node53(c_p0, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | node47(c_p0, s8) | (~m_processor_v_CMD(c_p0, s8, c_read_h_owned)) | m_processor_v_waiting(c_p0, s9) | (~node53(c_p0, s8, s9))))),
% 50.23/32.87 inference(monotonicity,[status(thm)],[15144])).
% 50.23/32.87 tff(15146,plain,
% 50.23/32.87 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s9) | (~m_processor_v_CMD(c_p0, s8, c_read_h_owned)) | (~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | node47(c_p0, s8) | (~node53(c_p0, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | node47(c_p0, s8) | (~m_processor_v_CMD(c_p0, s8, c_read_h_owned)) | m_processor_v_waiting(c_p0, s9) | (~node53(c_p0, s8, s9)))),
% 50.23/32.87 inference(transitivity,[status(thm)],[15145, 15143])).
% 50.23/32.87 tff(15147,plain,
% 50.23/32.87 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s9) | (~m_processor_v_CMD(c_p0, s8, c_read_h_owned)) | (~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | node47(c_p0, s8) | (~node53(c_p0, s8, s9)))),
% 50.23/32.87 inference(quant_inst,[status(thm)],[])).
% 50.23/32.87 tff(15148,plain,
% 50.23/32.87 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | node47(c_p0, s8) | (~m_processor_v_CMD(c_p0, s8, c_read_h_owned)) | m_processor_v_waiting(c_p0, s9) | (~node53(c_p0, s8, s9))),
% 50.23/32.87 inference(modus_ponens,[status(thm)],[15147, 15146])).
% 50.23/32.87 tff(15149,plain,
% 50.23/32.87 ((~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | node47(c_p0, s8) | (~m_processor_v_CMD(c_p0, s8, c_read_h_owned)) | m_processor_v_waiting(c_p0, s9)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[15148, 640, 15142])).
% 50.23/32.87 tff(15150,plain,
% 50.23/32.87 (node47(c_p0, s8)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[15149, 15138, 15135, 14758, 14889])).
% 50.23/32.87 tff(15151,plain,
% 50.23/32.87 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | m_processor_v_waiting(c_p0, s9) | (~node53(c_p0, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | m_processor_v_waiting(c_p0, s9) | (~node53(c_p0, s8, s9)))),
% 50.23/32.87 inference(rewrite,[status(thm)],[])).
% 50.23/32.87 tff(15152,plain,
% 50.23/32.87 ((m_processor_v_waiting(c_p0, s9) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | (~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | (~node53(c_p0, s8, s9))) <=> ((~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | m_processor_v_waiting(c_p0, s9) | (~node53(c_p0, s8, s9)))),
% 50.23/32.87 inference(rewrite,[status(thm)],[])).
% 50.23/32.87 tff(15153,plain,
% 50.23/32.87 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s9) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | (~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | (~node53(c_p0, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | m_processor_v_waiting(c_p0, s9) | (~node53(c_p0, s8, s9))))),
% 50.23/32.87 inference(monotonicity,[status(thm)],[15152])).
% 50.23/32.87 tff(15154,plain,
% 50.23/32.87 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s9) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | (~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | (~node53(c_p0, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | m_processor_v_waiting(c_p0, s9) | (~node53(c_p0, s8, s9)))),
% 50.23/32.87 inference(transitivity,[status(thm)],[15153, 15151])).
% 50.23/32.87 tff(15155,plain,
% 50.23/32.87 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s9) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | (~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | (~node53(c_p0, s8, s9)))),
% 50.23/32.87 inference(quant_inst,[status(thm)],[])).
% 50.23/32.87 tff(15156,plain,
% 50.23/32.87 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | m_processor_v_waiting(c_p0, s9) | (~node53(c_p0, s8, s9))),
% 50.23/32.87 inference(modus_ponens,[status(thm)],[15155, 15154])).
% 50.23/32.87 tff(15157,plain,
% 50.23/32.87 ((~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | m_processor_v_waiting(c_p0, s9)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[15156, 589, 15142])).
% 50.23/32.87 tff(15158,plain,
% 50.23/32.87 (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[15157, 15138, 14889, 14758])).
% 50.23/32.87 tff(15159,plain,
% 50.23/32.87 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p0, s8, c_read_h_shared) | (~node47(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | (~node47(c_p0, s8)))),
% 50.23/32.87 inference(rewrite,[status(thm)],[])).
% 50.23/32.87 tff(15160,plain,
% 50.23/32.87 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p0, s8, c_read_h_shared) | (~node47(c_p0, s8)))),
% 50.23/32.87 inference(quant_inst,[status(thm)],[])).
% 50.23/32.87 tff(15161,plain,
% 50.23/32.87 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | (~node47(c_p0, s8))),
% 50.23/32.87 inference(modus_ponens,[status(thm)],[15160, 15159])).
% 50.23/32.87 tff(15162,plain,
% 50.23/32.87 ($false),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[15161, 657, 15158, 15150])).
% 50.23/32.87 tff(15163,plain,((~node32(c_p0, s7, s8)) | m_processor_v_waiting(c_p0, s9) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_state(c_p0, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.87 tff(15164,plain,
% 50.23/32.87 (~node32(c_p0, s7, s8)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[15163, 14503, 14759, 14758, 3])).
% 50.23/32.87 tff(15165,plain,
% 50.23/32.87 (~m_processor_v_abort(c_p0, s7)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[14492, 15164])).
% 50.23/32.87 tff(15166,assumption,(m_processor_v_CMD(c_p0, s7, c_read_h_owned)), introduced(assumption)).
% 50.23/32.87 tff(15167,plain,
% 50.23/32.87 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s7, c_read_h_owned) | (~node2(s7)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s7, c_read_h_owned) | (~node2(s7)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)))),
% 50.23/32.87 inference(rewrite,[status(thm)],[])).
% 50.23/32.87 tff(15168,plain,
% 50.23/32.87 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s7, c_read_h_owned) | (~node2(s7)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)))),
% 50.23/32.87 inference(quant_inst,[status(thm)],[])).
% 50.23/32.87 tff(15169,plain,
% 50.23/32.87 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s7, c_read_h_owned) | (~node2(s7)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned))),
% 50.23/32.87 inference(modus_ponens,[status(thm)],[15168, 15167])).
% 50.23/32.87 tff(15170,plain,
% 50.23/32.87 ($false),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[15169, 1612, 14572, 13193, 15166])).
% 50.23/32.87 tff(15171,plain,((~m_processor_v_CMD(c_p0, s7, c_read_h_owned)) | m_main_v_CMD(s7, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.87 tff(15172,plain,
% 50.23/32.87 (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[15171, 13193])).
% 50.23/32.87 tff(15173,plain,
% 50.23/32.87 (~m_processor_v_state(c_p0, s8, c_owned)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[14544, 55, 3])).
% 50.23/32.87 tff(15174,plain,
% 50.23/32.87 (m_processor_v_master(c_p0, s8)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[14888, 15173, 14759])).
% 50.23/32.87 tff(15175,plain,
% 50.23/32.87 (m_processor_v_CMD(c_p0, s8, c_read_h_owned)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[15134, 15173, 14759])).
% 50.23/32.87 tff(15176,plain,
% 50.23/32.87 (m_processor_v_state(c_p0, s8, c_invalid)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[14541, 55, 14503])).
% 50.23/32.87 tff(15177,plain,
% 50.23/32.87 (~node32(c_p0, s8, s9)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[14797, 15176, 14771])).
% 50.23/32.87 tff(15178,plain,
% 50.23/32.87 (~m_processor_v_abort(c_p0, s8)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[14811, 15177])).
% 50.23/32.87 tff(15179,plain,
% 50.23/32.87 (node47(c_p0, s8)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[15149, 15178, 15175, 14758, 15174])).
% 50.23/32.87 tff(15180,plain,
% 50.23/32.87 (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[15157, 15178, 15174, 14758])).
% 50.23/32.87 tff(15181,plain,
% 50.23/32.87 ($false),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[15161, 657, 15180, 15179])).
% 50.23/32.87 tff(15182,plain,(m_processor_v_master(c_p0, s7) | m_processor_v_waiting(c_p0, s9) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_state(c_p0, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.87 tff(15183,plain,
% 50.23/32.87 (m_processor_v_master(c_p0, s7)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[15182, 14503, 14759, 14758, 3])).
% 50.23/32.87 tff(15184,plain,
% 50.23/32.87 (~m_processor_v_master(c_p1, s7)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[13229, 794, 15183])).
% 50.23/32.87 tff(15185,plain,
% 50.23/32.87 (m_processor_v_cmd(c_p1, s7, c_idle)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[14619, 15184])).
% 50.23/32.87 tff(15186,plain,
% 50.23/32.87 (node8(s7)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[14647, 14621, 14636])).
% 50.23/32.87 tff(15187,plain,
% 50.23/32.87 (~m_processor_v_cmd(c_p0, s7, c_read_h_owned)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[14690, 15186, 13193])).
% 50.23/32.87 tff(15188,plain,
% 50.23/32.87 (~m_processor_v_cmd(c_p0, s7, c_read_h_shared)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[14658, 15186, 13194])).
% 50.23/32.87 tff(15189,plain,
% 50.23/32.87 ($false),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[14715, 15188, 15187, 14621, 3])).
% 50.23/32.87 tff(15190,plain,((~m_processor_v_master(c_p0, s7)) | m_processor_v_state(c_p0, s7, c_owned) | m_main_v_CMD(s7, c_read_h_shared) | m_main_v_CMD(s7, c_read_h_owned) | (~m_processor_v_cmd(c_p1, s7, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.23/32.87 tff(15191,plain,
% 50.23/32.87 (m_main_v_CMD(s7, c_read_h_shared)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[15190, 13193, 3, 15183, 15185])).
% 50.23/32.87 tff(15192,plain,
% 50.23/32.87 (m_processor_v_CMD(c_p0, s7, c_read_h_shared)),
% 50.23/32.87 inference(unit_resolution,[status(thm)],[14580, 15191])).
% 50.23/32.87 tff(15193,plain,
% 50.23/32.87 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s7, s8) | (~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | (~node38(c_p0, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node34(c_p0, s7, s8) | (~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | (~node38(c_p0, s7, s8)))),
% 50.23/32.87 inference(rewrite,[status(thm)],[])).
% 50.23/32.87 tff(15194,plain,
% 50.23/32.87 ((node34(c_p0, s7, s8) | (~m_processor_v_master(c_p0, s7)) | (~node38(c_p0, s7, s8)) | m_processor_v_abort(c_p0, s7)) <=> (node34(c_p0, s7, s8) | (~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | (~node38(c_p0, s7, s8)))),
% 50.23/32.87 inference(rewrite,[status(thm)],[])).
% 50.23/32.87 tff(15195,plain,
% 50.23/32.87 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s7, s8) | (~m_processor_v_master(c_p0, s7)) | (~node38(c_p0, s7, s8)) | m_processor_v_abort(c_p0, s7))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s7, s8) | (~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | (~node38(c_p0, s7, s8))))),
% 50.23/32.87 inference(monotonicity,[status(thm)],[15194])).
% 50.23/32.87 tff(15196,plain,
% 50.23/32.87 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s7, s8) | (~m_processor_v_master(c_p0, s7)) | (~node38(c_p0, s7, s8)) | m_processor_v_abort(c_p0, s7))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node34(c_p0, s7, s8) | (~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | (~node38(c_p0, s7, s8)))),
% 50.23/32.87 inference(transitivity,[status(thm)],[15195, 15193])).
% 50.23/32.87 tff(15197,plain,
% 50.23/32.87 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p0, s7, s8) | (~m_processor_v_master(c_p0, s7)) | (~node38(c_p0, s7, s8)) | m_processor_v_abort(c_p0, s7))),
% 50.23/32.88 inference(quant_inst,[status(thm)],[])).
% 50.23/32.88 tff(15198,plain,
% 50.23/32.88 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node34(c_p0, s7, s8) | (~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | (~node38(c_p0, s7, s8))),
% 50.23/32.88 inference(modus_ponens,[status(thm)],[15197, 15196])).
% 50.23/32.88 tff(15199,plain,
% 50.23/32.88 (node34(c_p0, s7, s8) | (~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7)),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[15198, 283, 14445])).
% 50.23/32.88 tff(15200,plain,
% 50.23/32.88 (node34(c_p0, s7, s8)),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[15199, 15183, 15165])).
% 50.23/32.88 tff(15201,plain,
% 50.23/32.88 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)) | m_processor_v_state(c_p0, s8, c_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)) | m_processor_v_state(c_p0, s8, c_shared))),
% 50.23/32.88 inference(rewrite,[status(thm)],[])).
% 50.23/32.88 tff(15202,plain,
% 50.23/32.88 (((~node34(c_p0, s7, s8)) | m_processor_v_state(c_p0, s8, c_shared) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared))) <=> ((~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)) | m_processor_v_state(c_p0, s8, c_shared))),
% 50.23/32.88 inference(rewrite,[status(thm)],[])).
% 50.23/32.88 tff(15203,plain,
% 50.23/32.88 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s7, s8)) | m_processor_v_state(c_p0, s8, c_shared) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)) | m_processor_v_state(c_p0, s8, c_shared)))),
% 50.23/32.88 inference(monotonicity,[status(thm)],[15202])).
% 50.23/32.88 tff(15204,plain,
% 50.23/32.88 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s7, s8)) | m_processor_v_state(c_p0, s8, c_shared) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)) | m_processor_v_state(c_p0, s8, c_shared))),
% 50.23/32.88 inference(transitivity,[status(thm)],[15203, 15201])).
% 50.23/32.88 tff(15205,plain,
% 50.23/32.88 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s7, s8)) | m_processor_v_state(c_p0, s8, c_shared) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)))),
% 50.23/32.88 inference(quant_inst,[status(thm)],[])).
% 50.23/32.88 tff(15206,plain,
% 50.23/32.88 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)) | m_processor_v_state(c_p0, s8, c_shared)),
% 50.23/32.88 inference(modus_ponens,[status(thm)],[15205, 15204])).
% 50.23/32.88 tff(15207,plain,
% 50.23/32.88 ((~m_processor_v_CMD(c_p0, s7, c_read_h_shared)) | m_processor_v_state(c_p0, s8, c_shared)),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[15206, 416, 15200])).
% 50.23/32.88 tff(15208,plain,
% 50.23/32.88 (m_processor_v_state(c_p0, s8, c_shared)),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[15207, 15192])).
% 50.23/32.88 tff(15209,plain,
% 50.23/32.88 (~node32(c_p0, s8, s9)),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[14847, 15208, 14767])).
% 50.23/32.88 tff(15210,plain,
% 50.23/32.88 (~m_processor_v_abort(c_p0, s8)),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[14811, 15209])).
% 50.23/32.88 tff(15211,plain,
% 50.23/32.88 (m_processor_v_state(c_p0, s8, c_owned)),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[14888, 14772, 14759])).
% 50.23/32.88 tff(15212,plain,
% 50.23/32.88 (~m_processor_v_state(c_p0, s8, c_invalid)),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[14429, 15211])).
% 50.23/32.88 tff(15213,plain,
% 50.23/32.88 (~m_processor_v_state(c_p0, s8, c_shared)),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[14436, 121, 15211])).
% 50.23/32.88 tff(15214,plain,
% 50.23/32.88 (m_processor_v_state(c_p0, s8, c_invalid)),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[14541, 14503, 55])).
% 50.23/32.88 tff(15215,plain,
% 50.23/32.88 (~m_processor_v_state(c_p0, s8, c_owned)),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[14429, 15214])).
% 50.23/32.88 tff(15216,plain,
% 50.23/32.88 (~node37(c_p0, s8, s9)),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[14778, 15215, 14759])).
% 50.23/32.88 tff(15217,plain,
% 50.23/32.88 (m_processor_v_state(c_p0, s8, c_shared)),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[14827, 15216, 14772, 14814])).
% 50.23/32.88 tff(15218,plain,
% 50.23/32.88 (~node36(c_p0, s7)),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[14523, 2326])).
% 50.23/32.88 tff(15219,plain,
% 50.23/32.88 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s7, c_shared) | (~m_processor_v_state(c_p0, s8, c_shared)) | (~node37(c_p0, s7, s8)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s7, c_shared) | (~m_processor_v_state(c_p0, s8, c_shared)) | (~node37(c_p0, s7, s8)))),
% 50.23/32.88 inference(rewrite,[status(thm)],[])).
% 50.23/32.88 tff(15220,plain,
% 50.23/32.88 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s7, c_shared) | (~m_processor_v_state(c_p0, s8, c_shared)) | (~node37(c_p0, s7, s8)))),
% 50.23/32.88 inference(quant_inst,[status(thm)],[])).
% 50.23/32.88 tff(15221,plain,
% 50.23/32.88 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s7, c_shared) | (~m_processor_v_state(c_p0, s8, c_shared)) | (~node37(c_p0, s7, s8))),
% 50.23/32.88 inference(modus_ponens,[status(thm)],[15220, 15219])).
% 50.23/32.88 tff(15222,plain,
% 50.23/32.88 (~node37(c_p0, s7, s8)),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[15221, 182, 2326, 14839])).
% 50.23/32.88 tff(15223,plain,
% 50.23/32.88 (m_processor_v_abort(c_p0, s7)),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[14538, 15222, 55, 2326, 15218])).
% 50.23/32.88 tff(15224,plain,
% 50.23/32.88 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p0, s8, c_invalid)) | (~m_processor_v_state(c_p0, s8, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p0, s8, c_invalid)) | (~m_processor_v_state(c_p0, s8, c_shared)))),
% 50.23/32.88 inference(rewrite,[status(thm)],[])).
% 50.23/32.88 tff(15225,plain,
% 50.23/32.88 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p0, s8, c_invalid)) | (~m_processor_v_state(c_p0, s8, c_shared)))),
% 50.23/32.88 inference(quant_inst,[status(thm)],[])).
% 50.23/32.88 tff(15226,plain,
% 50.23/32.88 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p0, s8, c_invalid)) | (~m_processor_v_state(c_p0, s8, c_shared))),
% 50.23/32.88 inference(modus_ponens,[status(thm)],[15225, 15224])).
% 50.23/32.88 tff(15227,plain,
% 50.23/32.88 (~m_processor_v_state(c_p0, s8, c_invalid)),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[15226, 977, 14839])).
% 50.23/32.88 tff(15228,plain,
% 50.23/32.88 (~node32(c_p0, s7, s8)),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[14512, 15227, 14503])).
% 50.23/32.88 tff(15229,plain,
% 50.23/32.88 ($false),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[14492, 15228, 15223])).
% 50.23/32.88 tff(15230,plain,((~m_processor_v_state(c_p0, s8, c_shared)) | (~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_master(c_p0, s7) | m_processor_v_state(c_p0, s7, c_shared)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.88 tff(15231,plain,
% 50.23/32.88 (m_processor_v_state(c_p0, s7, c_shared)),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[15230, 15217, 55, 14503])).
% 50.23/32.88 tff(15232,plain,
% 50.23/32.88 ($false),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[14516, 977, 15231, 14503])).
% 50.23/32.88 tff(15233,plain,((~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_master(c_p0, s7) | m_processor_v_master(c_p0, s8) | m_processor_v_abort(c_p0, s8) | (~m_processor_v_state(c_p0, s9, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.23/32.88 tff(15234,plain,
% 50.23/32.88 (m_processor_v_master(c_p0, s7)),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[15233, 14503, 14814, 14759, 14772])).
% 50.23/32.88 tff(15235,plain,
% 50.23/32.88 (node34(c_p0, s7, s8)),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[15199, 15234, 14439])).
% 50.23/32.88 tff(15236,assumption,(~node33(c_p0, s7, s8)), introduced(assumption)).
% 50.23/32.88 tff(15237,assumption,(node34(c_p0, s7, s8)), introduced(assumption)).
% 50.23/32.88 tff(15238,plain,
% 50.23/32.88 ((~m_processor_v_CMD(c_p0, s7, c_read_h_shared)) | m_processor_v_state(c_p0, s8, c_shared)),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[15206, 416, 15237])).
% 50.23/32.88 tff(15239,plain,
% 50.23/32.88 (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[15238, 14468])).
% 50.23/32.88 tff(15240,plain,
% 50.23/32.88 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | (~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_write_h_invalid)) | m_processor_v_state(c_p0, s8, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | (~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_write_h_invalid)) | m_processor_v_state(c_p0, s8, c_invalid))),
% 50.23/32.88 inference(rewrite,[status(thm)],[])).
% 50.23/32.88 tff(15241,plain,
% 50.23/32.88 (((~node34(c_p0, s7, s8)) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_state(c_p0, s8, c_invalid) | (~m_processor_v_CMD(c_p0, s7, c_write_h_invalid))) <=> (m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | (~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_write_h_invalid)) | m_processor_v_state(c_p0, s8, c_invalid))),
% 50.23/32.88 inference(rewrite,[status(thm)],[])).
% 50.23/32.88 tff(15242,plain,
% 50.23/32.88 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s7, s8)) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_state(c_p0, s8, c_invalid) | (~m_processor_v_CMD(c_p0, s7, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | (~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_write_h_invalid)) | m_processor_v_state(c_p0, s8, c_invalid)))),
% 50.23/32.88 inference(monotonicity,[status(thm)],[15241])).
% 50.23/32.88 tff(15243,plain,
% 50.23/32.88 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s7, s8)) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_state(c_p0, s8, c_invalid) | (~m_processor_v_CMD(c_p0, s7, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | (~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_write_h_invalid)) | m_processor_v_state(c_p0, s8, c_invalid))),
% 50.23/32.88 inference(transitivity,[status(thm)],[15242, 15240])).
% 50.23/32.88 tff(15244,plain,
% 50.23/32.88 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s7, s8)) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_state(c_p0, s8, c_invalid) | (~m_processor_v_CMD(c_p0, s7, c_write_h_invalid)))),
% 50.23/32.88 inference(quant_inst,[status(thm)],[])).
% 50.23/32.88 tff(15245,plain,
% 50.23/32.88 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | (~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_write_h_invalid)) | m_processor_v_state(c_p0, s8, c_invalid)),
% 50.23/32.88 inference(modus_ponens,[status(thm)],[15244, 15243])).
% 50.23/32.88 tff(15246,plain,
% 50.23/32.88 (m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s7, c_write_h_invalid))),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[15245, 512, 14438, 15237])).
% 50.23/32.88 tff(15247,plain,
% 50.23/32.88 (~m_processor_v_CMD(c_p0, s7, c_write_h_invalid)),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[15246, 14672, 15239])).
% 50.23/32.88 tff(15248,assumption,(~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.23/32.88 tff(15249,assumption,(~m_processor_v_CMD(c_p0, s7, c_write_h_invalid)), introduced(assumption)).
% 50.23/32.88 tff(15250,plain,
% 50.23/32.88 (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[15206, 416, 14468, 15237])).
% 50.23/32.88 tff(15251,assumption,(~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid)), introduced(assumption)).
% 50.23/32.88 tff(15252,plain,
% 50.23/32.88 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | (~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_write_h_shared)) | m_processor_v_state(c_p0, s8, c_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | (~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_write_h_shared)) | m_processor_v_state(c_p0, s8, c_shared))),
% 50.23/32.88 inference(rewrite,[status(thm)],[])).
% 50.23/32.88 tff(15253,plain,
% 50.23/32.88 (((~node34(c_p0, s7, s8)) | m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s7, c_write_h_shared))) <=> (m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | (~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_write_h_shared)) | m_processor_v_state(c_p0, s8, c_shared))),
% 50.23/32.88 inference(rewrite,[status(thm)],[])).
% 50.23/32.88 tff(15254,plain,
% 50.23/32.88 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s7, s8)) | m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s7, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | (~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_write_h_shared)) | m_processor_v_state(c_p0, s8, c_shared)))),
% 50.23/32.88 inference(monotonicity,[status(thm)],[15253])).
% 50.23/32.88 tff(15255,plain,
% 50.23/32.88 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s7, s8)) | m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s7, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | (~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_write_h_shared)) | m_processor_v_state(c_p0, s8, c_shared))),
% 50.23/32.88 inference(transitivity,[status(thm)],[15254, 15252])).
% 50.23/32.88 tff(15256,plain,
% 50.23/32.88 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p0, s7, s8)) | m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s7, c_write_h_shared)))),
% 50.23/32.88 inference(quant_inst,[status(thm)],[])).
% 50.23/32.88 tff(15257,plain,
% 50.23/32.88 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | (~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_write_h_shared)) | m_processor_v_state(c_p0, s8, c_shared)),
% 50.23/32.88 inference(modus_ponens,[status(thm)],[15256, 15255])).
% 50.23/32.88 tff(15258,plain,
% 50.23/32.88 (m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s7, c_write_h_shared))),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[15257, 456, 14468, 15237])).
% 50.23/32.88 tff(15259,plain,
% 50.23/32.88 (~m_processor_v_CMD(c_p0, s7, c_write_h_shared)),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[15258, 15251, 15250, 14672, 15249])).
% 50.23/32.88 tff(15260,plain,
% 50.23/32.88 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_shared) | (~node34(c_p0, s7, s8)) | node33(c_p0, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_shared) | (~node34(c_p0, s7, s8)) | node33(c_p0, s7, s8))),
% 50.23/32.88 inference(rewrite,[status(thm)],[])).
% 50.23/32.88 tff(15261,plain,
% 50.23/32.88 ((node33(c_p0, s7, s8) | (~node34(c_p0, s7, s8)) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_shared) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_shared) | (~node34(c_p0, s7, s8)) | node33(c_p0, s7, s8))),
% 50.23/32.88 inference(rewrite,[status(thm)],[])).
% 50.23/32.88 tff(15262,plain,
% 50.23/32.88 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s7, s8) | (~node34(c_p0, s7, s8)) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_shared) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_shared) | (~node34(c_p0, s7, s8)) | node33(c_p0, s7, s8)))),
% 50.23/32.88 inference(monotonicity,[status(thm)],[15261])).
% 50.23/32.88 tff(15263,plain,
% 50.23/32.88 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s7, s8) | (~node34(c_p0, s7, s8)) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_shared) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_shared) | (~node34(c_p0, s7, s8)) | node33(c_p0, s7, s8))),
% 50.23/32.88 inference(transitivity,[status(thm)],[15262, 15260])).
% 50.23/32.88 tff(15264,plain,
% 50.23/32.88 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p0, s7, s8) | (~node34(c_p0, s7, s8)) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_shared) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared))),
% 50.23/32.88 inference(quant_inst,[status(thm)],[])).
% 50.23/32.88 tff(15265,plain,
% 50.23/32.88 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_shared) | (~node34(c_p0, s7, s8)) | node33(c_p0, s7, s8)),
% 50.23/32.88 inference(modus_ponens,[status(thm)],[15264, 15263])).
% 50.23/32.88 tff(15266,plain,
% 50.23/32.88 (m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_shared) | node33(c_p0, s7, s8)),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[15265, 474, 15237])).
% 50.23/32.88 tff(15267,plain,
% 50.23/32.88 ($false),
% 50.23/32.88 inference(unit_resolution,[status(thm)],[15266, 15259, 15251, 14672, 15250, 15248, 15249, 15236])).
% 50.23/32.88 tff(15268,plain,(m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | node33(c_p0, s7, s8) | (~node34(c_p0, s7, s8)) | m_processor_v_state(c_p0, s8, c_shared)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.89 tff(15269,plain,
% 50.23/32.89 (m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid)),
% 50.23/32.89 inference(unit_resolution,[status(thm)],[15268, 15247, 15237, 14468, 14672, 15236, 15248])).
% 50.23/32.89 tff(15270,plain,
% 50.23/32.89 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | (~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p0, s8, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | (~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p0, s8, c_invalid))),
% 50.23/32.89 inference(rewrite,[status(thm)],[])).
% 50.23/32.89 tff(15271,plain,
% 50.23/32.89 (((~node34(c_p0, s7, s8)) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_state(c_p0, s8, c_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid))) <=> (m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | (~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p0, s8, c_invalid))),
% 50.23/32.89 inference(rewrite,[status(thm)],[])).
% 50.23/32.89 tff(15272,plain,
% 50.23/32.89 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s7, s8)) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_state(c_p0, s8, c_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | (~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p0, s8, c_invalid)))),
% 50.23/32.89 inference(monotonicity,[status(thm)],[15271])).
% 50.23/32.89 tff(15273,plain,
% 50.23/32.89 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s7, s8)) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_state(c_p0, s8, c_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | (~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p0, s8, c_invalid))),
% 50.23/32.89 inference(transitivity,[status(thm)],[15272, 15270])).
% 50.23/32.89 tff(15274,plain,
% 50.23/32.89 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s7, s8)) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_state(c_p0, s8, c_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid)))),
% 50.23/32.89 inference(quant_inst,[status(thm)],[])).
% 50.23/32.89 tff(15275,plain,
% 50.23/32.89 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | (~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p0, s8, c_invalid)),
% 50.23/32.89 inference(modus_ponens,[status(thm)],[15274, 15273])).
% 50.23/32.89 tff(15276,plain,
% 50.23/32.89 (m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid))),
% 50.23/32.89 inference(unit_resolution,[status(thm)],[15275, 438, 14438, 15237])).
% 50.23/32.89 tff(15277,plain,
% 50.23/32.89 ($false),
% 50.23/32.89 inference(unit_resolution,[status(thm)],[15276, 15269, 15247, 14672, 15239])).
% 50.23/32.89 tff(15278,plain,(m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_state(c_p0, s8, c_invalid) | (~node34(c_p0, s7, s8)) | m_processor_v_state(c_p0, s8, c_shared) | node33(c_p0, s7, s8) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.89 tff(15279,plain,
% 50.23/32.89 (m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared)),
% 50.23/32.89 inference(unit_resolution,[status(thm)],[15278, 14672, 15237, 14468, 15236, 14438])).
% 50.23/32.89 tff(15280,plain,
% 50.23/32.89 (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid)),
% 50.23/32.89 inference(unit_resolution,[status(thm)],[15276, 15247, 14672, 15239])).
% 50.23/32.89 tff(15281,plain,
% 50.23/32.89 (m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s7, c_write_h_shared)) | m_processor_v_state(c_p0, s8, c_shared)),
% 50.23/32.89 inference(unit_resolution,[status(thm)],[15257, 456, 15237])).
% 50.23/32.89 tff(15282,plain,
% 50.23/32.89 (~m_processor_v_CMD(c_p0, s7, c_write_h_shared)),
% 50.23/32.89 inference(unit_resolution,[status(thm)],[15281, 15280, 14468, 14672, 15239, 15247])).
% 50.23/32.89 tff(15283,plain,
% 50.23/32.89 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_shared) | (~node34(c_p0, s7, s8)) | m_processor_v_state(c_p0, s8, c_shared) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_shared) | (~node34(c_p0, s7, s8)) | m_processor_v_state(c_p0, s8, c_shared) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared)))),
% 50.23/32.89 inference(rewrite,[status(thm)],[])).
% 50.23/32.89 tff(15284,plain,
% 50.23/32.89 (((~node34(c_p0, s7, s8)) | m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared))) <=> (m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_shared) | (~node34(c_p0, s7, s8)) | m_processor_v_state(c_p0, s8, c_shared) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared)))),
% 50.23/32.89 inference(rewrite,[status(thm)],[])).
% 50.23/32.89 tff(15285,plain,
% 50.23/32.89 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s7, s8)) | m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_shared) | (~node34(c_p0, s7, s8)) | m_processor_v_state(c_p0, s8, c_shared) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared))))),
% 50.23/32.89 inference(monotonicity,[status(thm)],[15284])).
% 50.23/32.89 tff(15286,plain,
% 50.23/32.89 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s7, s8)) | m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_shared) | (~node34(c_p0, s7, s8)) | m_processor_v_state(c_p0, s8, c_shared) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared)))),
% 50.23/32.89 inference(transitivity,[status(thm)],[15285, 15283])).
% 50.23/32.89 tff(15287,plain,
% 50.23/32.89 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p0, s7, s8)) | m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared)))),
% 50.23/32.89 inference(quant_inst,[status(thm)],[])).
% 50.23/32.89 tff(15288,plain,
% 50.23/32.89 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_shared) | (~node34(c_p0, s7, s8)) | m_processor_v_state(c_p0, s8, c_shared) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared))),
% 50.23/32.89 inference(modus_ponens,[status(thm)],[15287, 15286])).
% 50.23/32.89 tff(15289,plain,
% 50.23/32.89 (m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_shared) | m_processor_v_state(c_p0, s8, c_shared) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared))),
% 50.23/32.89 inference(unit_resolution,[status(thm)],[15288, 492, 15237])).
% 50.23/32.89 tff(15290,plain,
% 50.23/32.89 ($false),
% 50.23/32.89 inference(unit_resolution,[status(thm)],[15289, 15282, 15280, 14468, 14672, 15247, 15239, 15279])).
% 50.23/32.89 tff(15291,plain,(m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_state(c_p0, s8, c_shared) | (~node34(c_p0, s7, s8)) | m_processor_v_state(c_p0, s8, c_invalid) | node33(c_p0, s7, s8)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.89 tff(15292,plain,
% 50.23/32.89 (node33(c_p0, s7, s8)),
% 50.23/32.89 inference(unit_resolution,[status(thm)],[15291, 15235, 15213, 14672, 15212])).
% 50.23/32.89 tff(15293,plain,
% 50.23/32.89 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_state(c_p0, s8, c_invalid) | (~node33(c_p0, s7, s8)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_state(c_p0, s8, c_invalid) | (~node33(c_p0, s7, s8)))),
% 50.23/32.89 inference(rewrite,[status(thm)],[])).
% 50.23/32.89 tff(15294,plain,
% 50.23/32.89 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_state(c_p0, s8, c_invalid) | (~node33(c_p0, s7, s8)))),
% 50.23/32.89 inference(quant_inst,[status(thm)],[])).
% 50.23/32.89 tff(15295,plain,
% 50.23/32.89 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_state(c_p0, s8, c_invalid) | (~node33(c_p0, s7, s8))),
% 50.23/32.89 inference(modus_ponens,[status(thm)],[15294, 15293])).
% 50.23/32.89 tff(15296,plain,
% 50.23/32.89 ($false),
% 50.23/32.89 inference(unit_resolution,[status(thm)],[15295, 399, 14503, 15212, 15292])).
% 50.23/32.89 tff(15297,plain,((~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_abort(c_p0, s7) | m_processor_v_abort(c_p0, s8) | (~m_processor_v_state(c_p0, s9, c_owned)) | m_processor_v_master(c_p0, s8)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.89 tff(15298,plain,
% 50.23/32.89 (m_processor_v_master(c_p0, s8)),
% 50.23/32.89 inference(unit_resolution,[status(thm)],[15297, 15210, 14759, 14503, 15172, 15165])).
% 50.23/32.89 tff(15299,plain,
% 50.23/32.89 (node34(c_p0, s8, s9)),
% 50.23/32.89 inference(unit_resolution,[status(thm)],[14898, 15298, 15210])).
% 50.23/32.89 tff(15300,plain,
% 50.23/32.89 (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)),
% 50.23/32.89 inference(unit_resolution,[status(thm)],[15157, 15210, 15298, 14758])).
% 50.23/32.89 tff(15301,plain,
% 50.23/32.89 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s8, c_shared)) | (~node33(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s8, c_shared)) | (~node33(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_shared))),
% 50.23/32.89 inference(rewrite,[status(thm)],[])).
% 50.23/32.89 tff(15302,plain,
% 50.23/32.89 (((~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node33(c_p0, s8, s9))) <=> ((~m_processor_v_state(c_p0, s8, c_shared)) | (~node33(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_shared))),
% 50.23/32.89 inference(rewrite,[status(thm)],[])).
% 50.23/32.89 tff(15303,plain,
% 50.23/32.89 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node33(c_p0, s8, s9)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s8, c_shared)) | (~node33(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_shared)))),
% 50.23/32.89 inference(monotonicity,[status(thm)],[15302])).
% 50.23/32.89 tff(15304,plain,
% 50.23/32.89 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node33(c_p0, s8, s9)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s8, c_shared)) | (~node33(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_shared))),
% 50.23/32.89 inference(transitivity,[status(thm)],[15303, 15301])).
% 50.23/32.89 tff(15305,plain,
% 50.23/32.89 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node33(c_p0, s8, s9)))),
% 50.23/32.89 inference(quant_inst,[status(thm)],[])).
% 50.23/32.89 tff(15306,plain,
% 50.23/32.89 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s8, c_shared)) | (~node33(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_shared)),
% 50.23/32.89 inference(modus_ponens,[status(thm)],[15305, 15304])).
% 50.23/32.89 tff(15307,plain,
% 50.23/32.89 (~node33(c_p0, s8, s9)),
% 50.23/32.89 inference(unit_resolution,[status(thm)],[15306, 399, 15208, 14767])).
% 50.23/32.89 tff(15308,plain,
% 50.23/32.89 (m_processor_v_CMD(c_p0, s8, c_read_h_owned)),
% 50.23/32.89 inference(unit_resolution,[status(thm)],[15013, 15307, 14767, 14771, 15300, 15299])).
% 50.23/32.89 tff(15309,plain,
% 50.23/32.89 (node47(c_p0, s8)),
% 50.23/32.89 inference(unit_resolution,[status(thm)],[15149, 15308, 15210, 14758, 15298])).
% 50.23/32.89 tff(15310,plain,
% 50.23/32.89 ($false),
% 50.23/32.89 inference(unit_resolution,[status(thm)],[15161, 657, 15300, 15309])).
% 50.23/32.89 tff(15311,plain,(m_main_v_CMD(s7, c_read_h_owned) | m_processor_v_waiting(c_p0, s9) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_state(c_p0, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.89 tff(15312,plain,
% 50.23/32.89 (m_main_v_CMD(s7, c_read_h_owned)),
% 50.23/32.89 inference(unit_resolution,[status(thm)],[15311, 14503, 14759, 14758, 3])).
% 50.23/32.89 tff(15313,plain,
% 50.23/32.89 (m_processor_v_CMD(c_p0, s7, c_read_h_owned)),
% 50.23/32.89 inference(unit_resolution,[status(thm)],[14680, 15312])).
% 50.23/32.89 tff(15314,plain,
% 50.23/32.89 (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)),
% 50.23/32.89 inference(unit_resolution,[status(thm)],[14566, 14439, 14546, 14621])).
% 50.23/32.89 tff(15315,plain,
% 50.23/32.89 (~m_main_v_CMD(s7, c_read_h_shared)),
% 50.23/32.89 inference(unit_resolution,[status(thm)],[14580, 15314])).
% 50.23/32.89 tff(15316,plain,
% 50.23/32.89 (m_main_v_CMD(s7, c_read_h_owned)),
% 50.23/32.89 inference(unit_resolution,[status(thm)],[15190, 15315, 14636, 14621, 3])).
% 50.23/32.89 tff(15317,plain,
% 50.23/32.89 (m_processor_v_CMD(c_p0, s7, c_read_h_owned)),
% 50.23/32.89 inference(unit_resolution,[status(thm)],[14680, 15316])).
% 50.23/32.89 tff(15318,plain,
% 50.23/32.89 (node34(c_p0, s7, s8)),
% 50.23/32.89 inference(unit_resolution,[status(thm)],[15199, 14439, 14621])).
% 50.23/32.89 tff(15319,plain,
% 50.23/32.89 (~m_processor_v_state(c_p0, s8, c_owned)),
% 50.23/32.89 inference(unit_resolution,[status(thm)],[14717, 14546, 3])).
% 50.23/32.89 tff(15320,plain,
% 50.23/32.89 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | (m_processor_v_CMD(c_p0, s7, c_read_h_shared) | (~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)) | m_processor_v_state(c_p0, s8, c_owned))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | (~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)) | m_processor_v_state(c_p0, s8, c_owned))),
% 50.23/32.89 inference(rewrite,[status(thm)],[])).
% 50.23/32.89 tff(15321,plain,
% 50.23/32.89 (((~node34(c_p0, s7, s8)) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_state(c_p0, s8, c_owned) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned))) <=> (m_processor_v_CMD(c_p0, s7, c_read_h_shared) | (~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)) | m_processor_v_state(c_p0, s8, c_owned))),
% 50.23/32.89 inference(rewrite,[status(thm)],[])).
% 50.23/32.89 tff(15322,plain,
% 50.23/32.89 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p0, s7, s8)) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_state(c_p0, s8, c_owned) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | (m_processor_v_CMD(c_p0, s7, c_read_h_shared) | (~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)) | m_processor_v_state(c_p0, s8, c_owned)))),
% 50.23/32.89 inference(monotonicity,[status(thm)],[15321])).
% 50.23/32.89 tff(15323,plain,
% 50.23/32.89 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p0, s7, s8)) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_state(c_p0, s8, c_owned) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | (~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)) | m_processor_v_state(c_p0, s8, c_owned))),
% 50.23/32.90 inference(transitivity,[status(thm)],[15322, 15320])).
% 50.23/32.90 tff(15324,plain,
% 50.23/32.90 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p0, s7, s8)) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_state(c_p0, s8, c_owned) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)))),
% 50.23/32.90 inference(quant_inst,[status(thm)],[])).
% 50.23/32.90 tff(15325,plain,
% 50.23/32.90 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | (~node34(c_p0, s7, s8)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)) | m_processor_v_state(c_p0, s8, c_owned)),
% 50.23/32.90 inference(modus_ponens,[status(thm)],[15324, 15323])).
% 50.23/32.90 tff(15326,plain,
% 50.23/32.90 ($false),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15325, 1864, 15319, 15318, 15317, 15314])).
% 50.23/32.90 tff(15327,plain,(m_processor_v_abort(c_p0, s7) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_master(c_p0, s7)) | m_processor_v_state(c_p0, s7, c_owned) | m_processor_v_waiting(c_p0, s8)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.90 tff(15328,plain,
% 50.23/32.90 (m_processor_v_waiting(c_p0, s8)),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15327, 15185, 3, 15165, 15183])).
% 50.23/32.90 tff(15329,assumption,(node52(c_p0, s8, s9)), introduced(assumption)).
% 50.23/32.90 tff(15330,plain,
% 50.23/32.90 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s8)) | m_processor_v_waiting(c_p0, s9) | (~node52(c_p0, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s8)) | m_processor_v_waiting(c_p0, s9) | (~node52(c_p0, s8, s9)))),
% 50.23/32.90 inference(rewrite,[status(thm)],[])).
% 50.23/32.90 tff(15331,plain,
% 50.23/32.90 ((m_processor_v_waiting(c_p0, s9) | (~m_processor_v_waiting(c_p0, s8)) | (~node52(c_p0, s8, s9))) <=> ((~m_processor_v_waiting(c_p0, s8)) | m_processor_v_waiting(c_p0, s9) | (~node52(c_p0, s8, s9)))),
% 50.23/32.90 inference(rewrite,[status(thm)],[])).
% 50.23/32.90 tff(15332,plain,
% 50.23/32.90 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s9) | (~m_processor_v_waiting(c_p0, s8)) | (~node52(c_p0, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s8)) | m_processor_v_waiting(c_p0, s9) | (~node52(c_p0, s8, s9))))),
% 50.23/32.90 inference(monotonicity,[status(thm)],[15331])).
% 50.23/32.90 tff(15333,plain,
% 50.23/32.90 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s9) | (~m_processor_v_waiting(c_p0, s8)) | (~node52(c_p0, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s8)) | m_processor_v_waiting(c_p0, s9) | (~node52(c_p0, s8, s9)))),
% 50.23/32.90 inference(transitivity,[status(thm)],[15332, 15330])).
% 50.23/32.90 tff(15334,plain,
% 50.23/32.90 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s9) | (~m_processor_v_waiting(c_p0, s8)) | (~node52(c_p0, s8, s9)))),
% 50.23/32.90 inference(quant_inst,[status(thm)],[])).
% 50.23/32.90 tff(15335,plain,
% 50.23/32.90 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s8)) | m_processor_v_waiting(c_p0, s9) | (~node52(c_p0, s8, s9))),
% 50.23/32.90 inference(modus_ponens,[status(thm)],[15334, 15333])).
% 50.23/32.90 tff(15336,plain,
% 50.23/32.90 ($false),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15335, 10820, 14415, 14758, 15329])).
% 50.23/32.90 tff(15337,plain,((~node52(c_p0, s8, s9)) | (~m_processor_v_waiting(c_p0, s8)) | m_processor_v_waiting(c_p0, s9)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.90 tff(15338,plain,
% 50.23/32.90 (~node52(c_p0, s8, s9)),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15337, 15328, 14758])).
% 50.23/32.90 tff(15339,assumption,(~m_processor_v_reply_h_owned(c_p1, s7)), introduced(assumption)).
% 50.23/32.90 tff(15340,plain,
% 50.23/32.90 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_master(c_p1, s7) | m_processor_v_reply_h_owned(c_p1, s7))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_master(c_p1, s7) | m_processor_v_reply_h_owned(c_p1, s7))),
% 50.23/32.90 inference(rewrite,[status(thm)],[])).
% 50.23/32.90 tff(15341,plain,
% 50.23/32.90 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_master(c_p1, s7) | m_processor_v_reply_h_owned(c_p1, s7))),
% 50.23/32.90 inference(quant_inst,[status(thm)],[])).
% 50.23/32.90 tff(15342,plain,
% 50.23/32.90 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_master(c_p1, s7) | m_processor_v_reply_h_owned(c_p1, s7)),
% 50.23/32.90 inference(modus_ponens,[status(thm)],[15341, 15340])).
% 50.23/32.90 tff(15343,plain,
% 50.23/32.90 ($false),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15342, 10170, 13435, 13051, 15339])).
% 50.23/32.90 tff(15344,plain,(m_processor_v_reply_h_owned(c_p1, s7) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_master(c_p1, s7)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.90 tff(15345,plain,
% 50.23/32.90 (m_processor_v_reply_h_owned(c_p1, s7)),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15344, 15184, 13435])).
% 50.23/32.90 tff(15346,plain,
% 50.23/32.90 (((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))) | ((~node5(s7)) | (~m_processor_v_reply_h_owned(c_p1, s7)))) <=> ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))) | (~node5(s7)) | (~m_processor_v_reply_h_owned(c_p1, s7)))),
% 50.23/32.90 inference(rewrite,[status(thm)],[])).
% 50.23/32.90 tff(15347,plain,
% 50.23/32.90 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))) | ((~node5(s7)) | (~m_processor_v_reply_h_owned(c_p1, s7)))),
% 50.23/32.90 inference(quant_inst,[status(thm)],[])).
% 50.23/32.90 tff(15348,plain,
% 50.23/32.90 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))) | (~node5(s7)) | (~m_processor_v_reply_h_owned(c_p1, s7))),
% 50.23/32.90 inference(modus_ponens,[status(thm)],[15347, 15346])).
% 50.23/32.90 tff(15349,plain,
% 50.23/32.90 (~node5(s7)),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15348, 10333, 15345])).
% 50.23/32.90 tff(15350,assumption,(~node5(s7)), introduced(assumption)).
% 50.23/32.90 tff(15351,assumption,(~m_main_v_REPLY_h_OWNED(s7)), introduced(assumption)).
% 50.23/32.90 tff(15352,plain,
% 50.23/32.90 (((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | (m_main_v_REPLY_h_OWNED(s7) | node5(s7))) <=> ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | m_main_v_REPLY_h_OWNED(s7) | node5(s7))),
% 50.23/32.90 inference(rewrite,[status(thm)],[])).
% 50.23/32.90 tff(15353,plain,
% 50.23/32.90 ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | (m_main_v_REPLY_h_OWNED(s7) | node5(s7))),
% 50.23/32.90 inference(quant_inst,[status(thm)],[])).
% 50.23/32.90 tff(15354,plain,
% 50.23/32.90 ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | m_main_v_REPLY_h_OWNED(s7) | node5(s7)),
% 50.23/32.90 inference(modus_ponens,[status(thm)],[15353, 15352])).
% 50.23/32.90 tff(15355,plain,
% 50.23/32.90 ($false),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15354, 10196, 15351, 15350])).
% 50.23/32.90 tff(15356,plain,(m_main_v_REPLY_h_OWNED(s7) | node5(s7)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.90 tff(15357,plain,
% 50.23/32.90 (m_main_v_REPLY_h_OWNED(s7)),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15356, 15349])).
% 50.23/32.90 tff(15358,assumption,(~m_memory_v_REPLY_h_OWNED(c_m, s7)), introduced(assumption)).
% 50.23/32.90 tff(15359,assumption,(m_main_v_REPLY_h_OWNED(s7)), introduced(assumption)).
% 50.23/32.90 tff(15360,plain,
% 50.23/32.90 (((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | ((~m_main_v_REPLY_h_OWNED(s7)) | m_memory_v_REPLY_h_OWNED(c_m, s7))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | (~m_main_v_REPLY_h_OWNED(s7)) | m_memory_v_REPLY_h_OWNED(c_m, s7))),
% 50.23/32.90 inference(rewrite,[status(thm)],[])).
% 50.23/32.90 tff(15361,plain,
% 50.23/32.90 ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | ((~m_main_v_REPLY_h_OWNED(s7)) | m_memory_v_REPLY_h_OWNED(c_m, s7))),
% 50.23/32.90 inference(quant_inst,[status(thm)],[])).
% 50.23/32.90 tff(15362,plain,
% 50.23/32.90 ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | (~m_main_v_REPLY_h_OWNED(s7)) | m_memory_v_REPLY_h_OWNED(c_m, s7)),
% 50.23/32.90 inference(modus_ponens,[status(thm)],[15361, 15360])).
% 50.23/32.90 tff(15363,plain,
% 50.23/32.90 ($false),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15362, 10210, 15359, 15358])).
% 50.23/32.90 tff(15364,plain,(m_memory_v_REPLY_h_OWNED(c_m, s7) | (~m_main_v_REPLY_h_OWNED(s7))), inference(lemma,lemma(discharge,[]))).
% 50.23/32.90 tff(15365,plain,
% 50.23/32.90 (m_memory_v_REPLY_h_OWNED(c_m, s7)),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15364, 15357])).
% 50.23/32.90 tff(15366,assumption,(~m_memory_v_CMD(c_m, s7, c_read_h_owned)), introduced(assumption)).
% 50.23/32.90 tff(15367,assumption,(~node1(s7)), introduced(assumption)).
% 50.23/32.90 tff(15368,plain,
% 50.23/32.90 ((~![X: $i] : node1(X)) | node1(s7)),
% 50.23/32.90 inference(quant_inst,[status(thm)],[])).
% 50.23/32.90 tff(15369,plain,
% 50.23/32.90 ($false),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15368, 4194, 15367])).
% 50.23/32.90 tff(15370,plain,(node1(s7)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.90 tff(15371,plain,
% 50.23/32.90 (((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s7)) | (~m_main_v_CMD(s7, c_read_h_owned)) | m_memory_v_CMD(c_m, s7, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s7)) | (~m_main_v_CMD(s7, c_read_h_owned)) | m_memory_v_CMD(c_m, s7, c_read_h_owned))),
% 50.23/32.90 inference(rewrite,[status(thm)],[])).
% 50.23/32.90 tff(15372,plain,
% 50.23/32.90 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s7)) | (~m_main_v_CMD(s7, c_read_h_owned)) | m_memory_v_CMD(c_m, s7, c_read_h_owned))),
% 50.23/32.90 inference(quant_inst,[status(thm)],[])).
% 50.23/32.90 tff(15373,plain,
% 50.23/32.90 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s7)) | (~m_main_v_CMD(s7, c_read_h_owned)) | m_memory_v_CMD(c_m, s7, c_read_h_owned)),
% 50.23/32.90 inference(modus_ponens,[status(thm)],[15372, 15371])).
% 50.23/32.90 tff(15374,plain,
% 50.23/32.90 ($false),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15373, 4207, 15370, 13377, 15366])).
% 50.23/32.90 tff(15375,plain,(m_memory_v_CMD(c_m, s7, c_read_h_owned) | (~m_main_v_CMD(s7, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 50.23/32.90 tff(15376,plain,
% 50.23/32.90 (m_memory_v_CMD(c_m, s7, c_read_h_owned)),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15375, 15312])).
% 50.23/32.90 tff(15377,assumption,(node25(c_m, s7)), introduced(assumption)).
% 50.23/32.90 tff(15378,assumption,(m_memory_v_CMD(c_m, s7, c_read_h_owned)), introduced(assumption)).
% 50.23/32.90 tff(15379,plain,
% 50.23/32.90 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | ((~node25(c_m, s7)) | (~m_memory_v_CMD(c_m, s7, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | (~node25(c_m, s7)) | (~m_memory_v_CMD(c_m, s7, c_read_h_owned)))),
% 50.23/32.90 inference(rewrite,[status(thm)],[])).
% 50.23/32.90 tff(15380,plain,
% 50.23/32.90 (((~m_memory_v_CMD(c_m, s7, c_read_h_owned)) | (~node25(c_m, s7))) <=> ((~node25(c_m, s7)) | (~m_memory_v_CMD(c_m, s7, c_read_h_owned)))),
% 50.23/32.90 inference(rewrite,[status(thm)],[])).
% 50.23/32.90 tff(15381,plain,
% 50.23/32.90 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | ((~m_memory_v_CMD(c_m, s7, c_read_h_owned)) | (~node25(c_m, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | ((~node25(c_m, s7)) | (~m_memory_v_CMD(c_m, s7, c_read_h_owned))))),
% 50.23/32.90 inference(monotonicity,[status(thm)],[15380])).
% 50.23/32.90 tff(15382,plain,
% 50.23/32.90 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | ((~m_memory_v_CMD(c_m, s7, c_read_h_owned)) | (~node25(c_m, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | (~node25(c_m, s7)) | (~m_memory_v_CMD(c_m, s7, c_read_h_owned)))),
% 50.23/32.90 inference(transitivity,[status(thm)],[15381, 15379])).
% 50.23/32.90 tff(15383,plain,
% 50.23/32.90 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | ((~m_memory_v_CMD(c_m, s7, c_read_h_owned)) | (~node25(c_m, s7)))),
% 50.23/32.90 inference(quant_inst,[status(thm)],[])).
% 50.23/32.90 tff(15384,plain,
% 50.23/32.90 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | (~node25(c_m, s7)) | (~m_memory_v_CMD(c_m, s7, c_read_h_owned))),
% 50.23/32.90 inference(modus_ponens,[status(thm)],[15383, 15382])).
% 50.23/32.90 tff(15385,plain,
% 50.23/32.90 ($false),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15384, 9959, 15378, 15377])).
% 50.23/32.90 tff(15386,plain,((~node25(c_m, s7)) | (~m_memory_v_CMD(c_m, s7, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 50.23/32.90 tff(15387,plain,
% 50.23/32.90 (~node25(c_m, s7)),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15386, 15376])).
% 50.23/32.90 tff(15388,assumption,(~node25(c_m, s7)), introduced(assumption)).
% 50.23/32.90 tff(15389,assumption,(m_memory_v_REPLY_h_OWNED(c_m, s7)), introduced(assumption)).
% 50.23/32.90 tff(15390,assumption,(node26(c_m, s7)), introduced(assumption)).
% 50.23/32.90 tff(15391,plain,
% 50.23/32.90 (((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | (node25(c_m, s7) | (~node26(c_m, s7)) | (~m_memory_v_REPLY_h_OWNED(c_m, s7)))) <=> ((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | node25(c_m, s7) | (~node26(c_m, s7)) | (~m_memory_v_REPLY_h_OWNED(c_m, s7)))),
% 50.23/32.90 inference(rewrite,[status(thm)],[])).
% 50.23/32.90 tff(15392,plain,
% 50.23/32.90 ((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | (node25(c_m, s7) | (~node26(c_m, s7)) | (~m_memory_v_REPLY_h_OWNED(c_m, s7)))),
% 50.23/32.90 inference(quant_inst,[status(thm)],[])).
% 50.23/32.90 tff(15393,plain,
% 50.23/32.90 ((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | node25(c_m, s7) | (~node26(c_m, s7)) | (~m_memory_v_REPLY_h_OWNED(c_m, s7))),
% 50.23/32.90 inference(modus_ponens,[status(thm)],[15392, 15391])).
% 50.23/32.90 tff(15394,plain,
% 50.23/32.90 ($false),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15393, 10227, 15390, 15389, 15388])).
% 50.23/32.90 tff(15395,plain,(node25(c_m, s7) | (~node26(c_m, s7)) | (~m_memory_v_REPLY_h_OWNED(c_m, s7))), inference(lemma,lemma(discharge,[]))).
% 50.23/32.90 tff(15396,plain,
% 50.23/32.90 (~node26(c_m, s7)),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15395, 15387, 15365])).
% 50.23/32.90 tff(15397,assumption,(~m_memory_v_abort(c_m, s7)), introduced(assumption)).
% 50.23/32.90 tff(15398,assumption,(~node26(c_m, s7)), introduced(assumption)).
% 50.23/32.90 tff(15399,plain,
% 50.23/32.90 (((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | (m_memory_v_abort(c_m, s7) | node26(c_m, s7))) <=> ((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | m_memory_v_abort(c_m, s7) | node26(c_m, s7))),
% 50.23/32.90 inference(rewrite,[status(thm)],[])).
% 50.23/32.90 tff(15400,plain,
% 50.23/32.90 ((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | (m_memory_v_abort(c_m, s7) | node26(c_m, s7))),
% 50.23/32.90 inference(quant_inst,[status(thm)],[])).
% 50.23/32.90 tff(15401,plain,
% 50.23/32.90 ((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | m_memory_v_abort(c_m, s7) | node26(c_m, s7)),
% 50.23/32.90 inference(modus_ponens,[status(thm)],[15400, 15399])).
% 50.23/32.90 tff(15402,plain,
% 50.23/32.90 ($false),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15401, 7810, 15398, 15397])).
% 50.23/32.90 tff(15403,plain,(m_memory_v_abort(c_m, s7) | node26(c_m, s7)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.90 tff(15404,plain,
% 50.23/32.90 (m_memory_v_abort(c_m, s7)),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15403, 15396])).
% 50.23/32.90 tff(15405,plain,
% 50.23/32.90 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | ((~trans(s7, s8)) | node23(c_m, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | (~trans(s7, s8)) | node23(c_m, s7, s8))),
% 50.23/32.90 inference(rewrite,[status(thm)],[])).
% 50.23/32.90 tff(15406,plain,
% 50.23/32.90 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | ((~trans(s7, s8)) | node23(c_m, s7, s8))),
% 50.23/32.90 inference(quant_inst,[status(thm)],[])).
% 50.23/32.90 tff(15407,plain,
% 50.23/32.90 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | (~trans(s7, s8)) | node23(c_m, s7, s8)),
% 50.23/32.90 inference(modus_ponens,[status(thm)],[15406, 15405])).
% 50.23/32.90 tff(15408,plain,
% 50.23/32.90 (node23(c_m, s7, s8)),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15407, 4490, 13037])).
% 50.23/32.90 tff(15409,plain,
% 50.23/32.90 (((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | ((~node23(c_m, s7, s8)) | node18(c_m, s7, s8) | (~m_memory_v_abort(c_m, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (~node23(c_m, s7, s8)) | node18(c_m, s7, s8) | (~m_memory_v_abort(c_m, s7)))),
% 50.23/32.90 inference(rewrite,[status(thm)],[])).
% 50.23/32.90 tff(15410,plain,
% 50.23/32.90 ((node18(c_m, s7, s8) | (~node23(c_m, s7, s8)) | (~m_memory_v_abort(c_m, s7))) <=> ((~node23(c_m, s7, s8)) | node18(c_m, s7, s8) | (~m_memory_v_abort(c_m, s7)))),
% 50.23/32.90 inference(rewrite,[status(thm)],[])).
% 50.23/32.90 tff(15411,plain,
% 50.23/32.90 (((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (node18(c_m, s7, s8) | (~node23(c_m, s7, s8)) | (~m_memory_v_abort(c_m, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | ((~node23(c_m, s7, s8)) | node18(c_m, s7, s8) | (~m_memory_v_abort(c_m, s7))))),
% 50.23/32.90 inference(monotonicity,[status(thm)],[15410])).
% 50.23/32.90 tff(15412,plain,
% 50.23/32.90 (((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (node18(c_m, s7, s8) | (~node23(c_m, s7, s8)) | (~m_memory_v_abort(c_m, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (~node23(c_m, s7, s8)) | node18(c_m, s7, s8) | (~m_memory_v_abort(c_m, s7)))),
% 50.23/32.90 inference(transitivity,[status(thm)],[15411, 15409])).
% 50.23/32.90 tff(15413,plain,
% 50.23/32.90 ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (node18(c_m, s7, s8) | (~node23(c_m, s7, s8)) | (~m_memory_v_abort(c_m, s7)))),
% 50.23/32.90 inference(quant_inst,[status(thm)],[])).
% 50.23/32.90 tff(15414,plain,
% 50.23/32.90 ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (~node23(c_m, s7, s8)) | node18(c_m, s7, s8) | (~m_memory_v_abort(c_m, s7))),
% 50.23/32.90 inference(modus_ponens,[status(thm)],[15413, 15412])).
% 50.23/32.90 tff(15415,plain,
% 50.23/32.90 (node18(c_m, s7, s8) | (~m_memory_v_abort(c_m, s7))),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15414, 7383, 15408])).
% 50.23/32.90 tff(15416,plain,
% 50.23/32.90 (node18(c_m, s7, s8)),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15415, 15404])).
% 50.23/32.90 tff(15417,assumption,(~node60(c_p0, s7)), introduced(assumption)).
% 50.23/32.90 tff(15418,plain,
% 50.23/32.90 (((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p0, s7) | node60(c_p0, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p0, s7) | node60(c_p0, s7))),
% 50.23/32.90 inference(rewrite,[status(thm)],[])).
% 50.23/32.90 tff(15419,plain,
% 50.23/32.90 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p0, s7) | node60(c_p0, s7))),
% 50.23/32.90 inference(quant_inst,[status(thm)],[])).
% 50.23/32.90 tff(15420,plain,
% 50.23/32.90 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p0, s7) | node60(c_p0, s7)),
% 50.23/32.90 inference(modus_ponens,[status(thm)],[15419, 15418])).
% 50.23/32.90 tff(15421,plain,
% 50.23/32.90 ($false),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15420, 693, 14439, 15417])).
% 50.23/32.90 tff(15422,plain,(m_processor_v_abort(c_p0, s7) | node60(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.90 tff(15423,plain,
% 50.23/32.90 (node60(c_p0, s7)),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15422, 15165])).
% 50.23/32.90 tff(15424,assumption,(node60(c_p0, s7)), introduced(assumption)).
% 50.23/32.90 tff(15425,assumption,(m_processor_v_REPLY_h_STALL(c_p0, s7)), introduced(assumption)).
% 50.23/32.90 tff(15426,plain,
% 50.23/32.90 (((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p0, s7)) | (~node60(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p0, s7)) | (~node60(c_p0, s7)))),
% 50.23/32.90 inference(rewrite,[status(thm)],[])).
% 50.23/32.90 tff(15427,plain,
% 50.23/32.90 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p0, s7)) | (~node60(c_p0, s7)))),
% 50.23/32.90 inference(quant_inst,[status(thm)],[])).
% 50.23/32.90 tff(15428,plain,
% 50.23/32.90 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p0, s7)) | (~node60(c_p0, s7))),
% 50.23/32.90 inference(modus_ponens,[status(thm)],[15427, 15426])).
% 50.23/32.90 tff(15429,plain,
% 50.23/32.90 ($false),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15428, 1363, 15425, 15424])).
% 50.23/32.90 tff(15430,plain,((~node60(c_p0, s7)) | (~m_processor_v_REPLY_h_STALL(c_p0, s7))), inference(lemma,lemma(discharge,[]))).
% 50.23/32.90 tff(15431,plain,
% 50.23/32.90 (~m_processor_v_REPLY_h_STALL(c_p0, s7)),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15430, 15423])).
% 50.23/32.90 tff(15432,assumption,(~m_processor_v_REPLY_h_STALL(c_p0, s7)), introduced(assumption)).
% 50.23/32.90 tff(15433,assumption,(m_main_v_REPLY_h_STALL(s7)), introduced(assumption)).
% 50.23/32.90 tff(15434,plain,
% 50.23/32.90 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | ((~m_main_v_REPLY_h_STALL(s7)) | m_processor_v_REPLY_h_STALL(c_p0, s7))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | (~m_main_v_REPLY_h_STALL(s7)) | m_processor_v_REPLY_h_STALL(c_p0, s7))),
% 50.23/32.90 inference(rewrite,[status(thm)],[])).
% 50.23/32.90 tff(15435,plain,
% 50.23/32.90 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | ((~m_main_v_REPLY_h_STALL(s7)) | m_processor_v_REPLY_h_STALL(c_p0, s7))),
% 50.23/32.90 inference(quant_inst,[status(thm)],[])).
% 50.23/32.90 tff(15436,plain,
% 50.23/32.90 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | (~m_main_v_REPLY_h_STALL(s7)) | m_processor_v_REPLY_h_STALL(c_p0, s7)),
% 50.23/32.90 inference(modus_ponens,[status(thm)],[15435, 15434])).
% 50.23/32.90 tff(15437,plain,
% 50.23/32.90 ($false),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15436, 1381, 15433, 15432])).
% 50.23/32.90 tff(15438,plain,((~m_main_v_REPLY_h_STALL(s7)) | m_processor_v_REPLY_h_STALL(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.90 tff(15439,plain,
% 50.23/32.90 (~m_main_v_REPLY_h_STALL(s7)),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15438, 15431])).
% 50.23/32.90 tff(15440,assumption,(~node7(s7)), introduced(assumption)).
% 50.23/32.90 tff(15441,assumption,(~m_main_v_REPLY_h_STALL(s7)), introduced(assumption)).
% 50.23/32.90 tff(15442,plain,
% 50.23/32.90 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | (m_main_v_REPLY_h_STALL(s7) | node7(s7))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | m_main_v_REPLY_h_STALL(s7) | node7(s7))),
% 50.23/32.90 inference(rewrite,[status(thm)],[])).
% 50.23/32.90 tff(15443,plain,
% 50.23/32.90 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | (m_main_v_REPLY_h_STALL(s7) | node7(s7))),
% 50.23/32.90 inference(quant_inst,[status(thm)],[])).
% 50.23/32.90 tff(15444,plain,
% 50.23/32.90 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | m_main_v_REPLY_h_STALL(s7) | node7(s7)),
% 50.23/32.90 inference(modus_ponens,[status(thm)],[15443, 15442])).
% 50.23/32.90 tff(15445,plain,
% 50.23/32.90 ($false),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15444, 3905, 15441, 15440])).
% 50.23/32.90 tff(15446,plain,(node7(s7) | m_main_v_REPLY_h_STALL(s7)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.90 tff(15447,plain,
% 50.23/32.90 (node7(s7)),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15446, 15439])).
% 50.23/32.90 tff(15448,assumption,(m_memory_v_reply_h_stall(c_m, s7)), introduced(assumption)).
% 50.23/32.90 tff(15449,assumption,(node7(s7)), introduced(assumption)).
% 50.23/32.90 tff(15450,plain,
% 50.23/32.90 (((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | ((~node7(s7)) | (~m_memory_v_reply_h_stall(c_m, s7)))) <=> ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | (~node7(s7)) | (~m_memory_v_reply_h_stall(c_m, s7)))),
% 50.23/32.90 inference(rewrite,[status(thm)],[])).
% 50.23/32.90 tff(15451,plain,
% 50.23/32.90 ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | ((~node7(s7)) | (~m_memory_v_reply_h_stall(c_m, s7)))),
% 50.23/32.90 inference(quant_inst,[status(thm)],[])).
% 50.23/32.90 tff(15452,plain,
% 50.23/32.90 ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | (~node7(s7)) | (~m_memory_v_reply_h_stall(c_m, s7))),
% 50.23/32.90 inference(modus_ponens,[status(thm)],[15451, 15450])).
% 50.23/32.90 tff(15453,plain,
% 50.23/32.90 ($false),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15452, 3923, 15449, 15448])).
% 50.23/32.90 tff(15454,plain,((~m_memory_v_reply_h_stall(c_m, s7)) | (~node7(s7))), inference(lemma,lemma(discharge,[]))).
% 50.23/32.90 tff(15455,plain,
% 50.23/32.90 (~m_memory_v_reply_h_stall(c_m, s7)),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15454, 15447])).
% 50.23/32.90 tff(15456,assumption,(node30(c_m, s7)), introduced(assumption)).
% 50.23/32.90 tff(15457,plain,
% 50.23/32.90 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s7, c_read_h_owned)) | (~node30(c_m, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | (~m_memory_v_CMD(c_m, s7, c_read_h_owned)) | (~node30(c_m, s7)))),
% 50.23/32.90 inference(rewrite,[status(thm)],[])).
% 50.23/32.90 tff(15458,plain,
% 50.23/32.90 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s7, c_read_h_owned)) | (~node30(c_m, s7)))),
% 50.23/32.90 inference(quant_inst,[status(thm)],[])).
% 50.23/32.90 tff(15459,plain,
% 50.23/32.90 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | (~m_memory_v_CMD(c_m, s7, c_read_h_owned)) | (~node30(c_m, s7))),
% 50.23/32.90 inference(modus_ponens,[status(thm)],[15458, 15457])).
% 50.23/32.90 tff(15460,plain,
% 50.23/32.90 ($false),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15459, 5042, 15378, 15456])).
% 50.23/32.90 tff(15461,plain,((~node30(c_m, s7)) | (~m_memory_v_CMD(c_m, s7, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 50.23/32.90 tff(15462,plain,
% 50.23/32.90 (~node30(c_m, s7)),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15461, 15376])).
% 50.23/32.90 tff(15463,assumption,(~node30(c_m, s7)), introduced(assumption)).
% 50.23/32.90 tff(15464,assumption,(~m_memory_v_reply_h_stall(c_m, s7)), introduced(assumption)).
% 50.23/32.90 tff(15465,assumption,(m_memory_v_busy(c_m, s7)), introduced(assumption)).
% 50.23/32.90 tff(15466,plain,
% 50.23/32.90 (((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | ((~m_memory_v_busy(c_m, s7)) | node30(c_m, s7) | m_memory_v_reply_h_stall(c_m, s7))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | (~m_memory_v_busy(c_m, s7)) | node30(c_m, s7) | m_memory_v_reply_h_stall(c_m, s7))),
% 50.23/32.90 inference(rewrite,[status(thm)],[])).
% 50.23/32.90 tff(15467,plain,
% 50.23/32.90 ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | ((~m_memory_v_busy(c_m, s7)) | node30(c_m, s7) | m_memory_v_reply_h_stall(c_m, s7))),
% 50.23/32.90 inference(quant_inst,[status(thm)],[])).
% 50.23/32.90 tff(15468,plain,
% 50.23/32.90 ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | (~m_memory_v_busy(c_m, s7)) | node30(c_m, s7) | m_memory_v_reply_h_stall(c_m, s7)),
% 50.23/32.90 inference(modus_ponens,[status(thm)],[15467, 15466])).
% 50.23/32.90 tff(15469,plain,
% 50.23/32.90 ($false),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15468, 4819, 15465, 15464, 15463])).
% 50.23/32.90 tff(15470,plain,((~m_memory_v_busy(c_m, s7)) | m_memory_v_reply_h_stall(c_m, s7) | node30(c_m, s7)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.90 tff(15471,plain,
% 50.23/32.90 (~m_memory_v_busy(c_m, s7)),
% 50.23/32.90 inference(unit_resolution,[status(thm)],[15470, 15462, 15455])).
% 50.23/32.90 tff(15472,plain,
% 50.23/32.90 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | (m_memory_v_busy(c_m, s7) | (~m_memory_v_busy(c_m, s8)) | (~node18(c_m, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | m_memory_v_busy(c_m, s7) | (~m_memory_v_busy(c_m, s8)) | (~node18(c_m, s7, s8)))),
% 50.23/32.90 inference(rewrite,[status(thm)],[])).
% 50.23/32.90 tff(15473,plain,
% 50.23/32.90 (((~node18(c_m, s7, s8)) | m_memory_v_busy(c_m, s7) | (~m_memory_v_busy(c_m, s8))) <=> (m_memory_v_busy(c_m, s7) | (~m_memory_v_busy(c_m, s8)) | (~node18(c_m, s7, s8)))),
% 50.23/32.90 inference(rewrite,[status(thm)],[])).
% 50.23/32.90 tff(15474,plain,
% 50.23/32.90 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | ((~node18(c_m, s7, s8)) | m_memory_v_busy(c_m, s7) | (~m_memory_v_busy(c_m, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | (m_memory_v_busy(c_m, s7) | (~m_memory_v_busy(c_m, s8)) | (~node18(c_m, s7, s8))))),
% 50.23/32.91 inference(monotonicity,[status(thm)],[15473])).
% 50.23/32.91 tff(15475,plain,
% 50.23/32.91 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | ((~node18(c_m, s7, s8)) | m_memory_v_busy(c_m, s7) | (~m_memory_v_busy(c_m, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | m_memory_v_busy(c_m, s7) | (~m_memory_v_busy(c_m, s8)) | (~node18(c_m, s7, s8)))),
% 50.23/32.91 inference(transitivity,[status(thm)],[15474, 15472])).
% 50.23/32.91 tff(15476,plain,
% 50.23/32.91 ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | ((~node18(c_m, s7, s8)) | m_memory_v_busy(c_m, s7) | (~m_memory_v_busy(c_m, s8)))),
% 50.23/32.91 inference(quant_inst,[status(thm)],[])).
% 50.23/32.91 tff(15477,plain,
% 50.23/32.91 ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | m_memory_v_busy(c_m, s7) | (~m_memory_v_busy(c_m, s8)) | (~node18(c_m, s7, s8))),
% 50.23/32.91 inference(modus_ponens,[status(thm)],[15476, 15475])).
% 50.23/32.91 tff(15478,plain,
% 50.23/32.91 (~m_memory_v_busy(c_m, s8)),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[15477, 10278, 15471, 15416])).
% 50.23/32.91 tff(15479,plain,
% 50.23/32.91 (((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s8) | (~node29(c_m, s8)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | m_memory_v_busy(c_m, s8) | (~node29(c_m, s8)))),
% 50.23/32.91 inference(rewrite,[status(thm)],[])).
% 50.23/32.91 tff(15480,plain,
% 50.23/32.91 ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s8) | (~node29(c_m, s8)))),
% 50.23/32.91 inference(quant_inst,[status(thm)],[])).
% 50.23/32.91 tff(15481,plain,
% 50.23/32.91 ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | m_memory_v_busy(c_m, s8) | (~node29(c_m, s8))),
% 50.23/32.91 inference(modus_ponens,[status(thm)],[15480, 15479])).
% 50.23/32.91 tff(15482,plain,
% 50.23/32.91 (~node29(c_m, s8)),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[15481, 2072, 15478])).
% 50.23/32.91 tff(15483,assumption,(~node29(c_m, s8)), introduced(assumption)).
% 50.23/32.91 tff(15484,assumption,(~m_memory_v_cmd(c_m, s8, c_idle)), introduced(assumption)).
% 50.23/32.91 tff(15485,plain,
% 50.23/32.91 (((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | (node29(c_m, s8) | m_memory_v_cmd(c_m, s8, c_idle))) <=> ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | node29(c_m, s8) | m_memory_v_cmd(c_m, s8, c_idle))),
% 50.23/32.91 inference(rewrite,[status(thm)],[])).
% 50.23/32.91 tff(15486,plain,
% 50.23/32.91 ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | (node29(c_m, s8) | m_memory_v_cmd(c_m, s8, c_idle))),
% 50.23/32.91 inference(quant_inst,[status(thm)],[])).
% 50.23/32.91 tff(15487,plain,
% 50.23/32.91 ((~![I0: $i, X: $i] : (node29(I0, X) | m_memory_v_cmd(I0, X, c_idle))) | node29(c_m, s8) | m_memory_v_cmd(c_m, s8, c_idle)),
% 50.23/32.91 inference(modus_ponens,[status(thm)],[15486, 15485])).
% 50.23/32.91 tff(15488,plain,
% 50.23/32.91 ($false),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[15487, 1320, 15484, 15483])).
% 50.23/32.91 tff(15489,plain,(m_memory_v_cmd(c_m, s8, c_idle) | node29(c_m, s8)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.91 tff(15490,plain,
% 50.23/32.91 (m_memory_v_cmd(c_m, s8, c_idle)),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[15489, 15482])).
% 50.23/32.91 tff(15491,assumption,(node46(c_p0, s8, s9)), introduced(assumption)).
% 50.23/32.91 tff(15492,plain,
% 50.23/32.91 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s8)) | m_processor_v_waiting(c_p0, s9) | (~node46(c_p0, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s8)) | m_processor_v_waiting(c_p0, s9) | (~node46(c_p0, s8, s9)))),
% 50.23/32.91 inference(rewrite,[status(thm)],[])).
% 50.23/32.91 tff(15493,plain,
% 50.23/32.91 ((m_processor_v_waiting(c_p0, s9) | (~m_processor_v_waiting(c_p0, s8)) | (~node46(c_p0, s8, s9))) <=> ((~m_processor_v_waiting(c_p0, s8)) | m_processor_v_waiting(c_p0, s9) | (~node46(c_p0, s8, s9)))),
% 50.23/32.91 inference(rewrite,[status(thm)],[])).
% 50.23/32.91 tff(15494,plain,
% 50.23/32.91 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s9) | (~m_processor_v_waiting(c_p0, s8)) | (~node46(c_p0, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s8)) | m_processor_v_waiting(c_p0, s9) | (~node46(c_p0, s8, s9))))),
% 50.23/32.91 inference(monotonicity,[status(thm)],[15493])).
% 50.23/32.91 tff(15495,plain,
% 50.23/32.91 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s9) | (~m_processor_v_waiting(c_p0, s8)) | (~node46(c_p0, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s8)) | m_processor_v_waiting(c_p0, s9) | (~node46(c_p0, s8, s9)))),
% 50.23/32.91 inference(transitivity,[status(thm)],[15494, 15492])).
% 50.23/32.91 tff(15496,plain,
% 50.23/32.91 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s9) | (~m_processor_v_waiting(c_p0, s8)) | (~node46(c_p0, s8, s9)))),
% 50.23/32.91 inference(quant_inst,[status(thm)],[])).
% 50.23/32.91 tff(15497,plain,
% 50.23/32.91 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s8)) | m_processor_v_waiting(c_p0, s9) | (~node46(c_p0, s8, s9))),
% 50.23/32.91 inference(modus_ponens,[status(thm)],[15496, 15495])).
% 50.23/32.91 tff(15498,plain,
% 50.23/32.91 ($false),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[15497, 11708, 14415, 14758, 15491])).
% 50.23/32.91 tff(15499,plain,((~node46(c_p0, s8, s9)) | (~m_processor_v_waiting(c_p0, s8)) | m_processor_v_waiting(c_p0, s9)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.91 tff(15500,plain,
% 50.23/32.91 (~node46(c_p0, s8, s9)),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[15499, 15328, 14758])).
% 50.23/32.91 tff(15501,plain,
% 50.23/32.91 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s8)) | (~node53(c_p0, s8, s9)) | node46(c_p0, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s8)) | (~node53(c_p0, s8, s9)) | node46(c_p0, s8, s9))),
% 50.23/32.91 inference(rewrite,[status(thm)],[])).
% 50.23/32.91 tff(15502,plain,
% 50.23/32.91 (((~m_processor_v_abort(c_p0, s8)) | node46(c_p0, s8, s9) | (~node53(c_p0, s8, s9))) <=> ((~m_processor_v_abort(c_p0, s8)) | (~node53(c_p0, s8, s9)) | node46(c_p0, s8, s9))),
% 50.23/32.91 inference(rewrite,[status(thm)],[])).
% 50.23/32.91 tff(15503,plain,
% 50.23/32.91 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s8)) | node46(c_p0, s8, s9) | (~node53(c_p0, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s8)) | (~node53(c_p0, s8, s9)) | node46(c_p0, s8, s9)))),
% 50.23/32.91 inference(monotonicity,[status(thm)],[15502])).
% 50.23/32.91 tff(15504,plain,
% 50.23/32.91 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s8)) | node46(c_p0, s8, s9) | (~node53(c_p0, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s8)) | (~node53(c_p0, s8, s9)) | node46(c_p0, s8, s9))),
% 50.23/32.91 inference(transitivity,[status(thm)],[15503, 15501])).
% 50.23/32.91 tff(15505,plain,
% 50.23/32.91 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s8)) | node46(c_p0, s8, s9) | (~node53(c_p0, s8, s9)))),
% 50.23/32.91 inference(quant_inst,[status(thm)],[])).
% 50.23/32.91 tff(15506,plain,
% 50.23/32.91 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s8)) | (~node53(c_p0, s8, s9)) | node46(c_p0, s8, s9)),
% 50.23/32.91 inference(modus_ponens,[status(thm)],[15505, 15504])).
% 50.23/32.91 tff(15507,plain,
% 50.23/32.91 ((~m_processor_v_abort(c_p0, s8)) | node46(c_p0, s8, s9)),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[15506, 11690, 15142])).
% 50.23/32.91 tff(15508,plain,
% 50.23/32.91 (~m_processor_v_abort(c_p0, s8)),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[15507, 15500])).
% 50.23/32.91 tff(15509,assumption,(~node52(c_p0, s8, s9)), introduced(assumption)).
% 50.23/32.91 tff(15510,assumption,(m_memory_v_cmd(c_m, s8, c_idle)), introduced(assumption)).
% 50.23/32.91 tff(15511,assumption,(m_main_v_CMD(s8, c_read_h_owned)), introduced(assumption)).
% 50.23/32.91 tff(15512,plain,
% 50.23/32.91 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~m_main_v_CMD(s8, c_read_h_owned)) | (~node3(s8)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~m_main_v_CMD(s8, c_read_h_owned)) | (~node3(s8)))),
% 50.23/32.91 inference(rewrite,[status(thm)],[])).
% 50.23/32.91 tff(15513,plain,
% 50.23/32.91 (((~m_main_v_CMD(s8, c_read_h_owned)) | (~node3(s8)) | m_processor_v_CMD(c_p1, s8, c_read_h_owned)) <=> (m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~m_main_v_CMD(s8, c_read_h_owned)) | (~node3(s8)))),
% 50.23/32.91 inference(rewrite,[status(thm)],[])).
% 50.23/32.91 tff(15514,plain,
% 50.23/32.91 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s8, c_read_h_owned)) | (~node3(s8)) | m_processor_v_CMD(c_p1, s8, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~m_main_v_CMD(s8, c_read_h_owned)) | (~node3(s8))))),
% 50.23/32.91 inference(monotonicity,[status(thm)],[15513])).
% 50.23/32.91 tff(15515,plain,
% 50.23/32.91 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s8, c_read_h_owned)) | (~node3(s8)) | m_processor_v_CMD(c_p1, s8, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~m_main_v_CMD(s8, c_read_h_owned)) | (~node3(s8)))),
% 50.23/32.91 inference(transitivity,[status(thm)],[15514, 15512])).
% 50.23/32.91 tff(15516,plain,
% 50.23/32.91 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s8, c_read_h_owned)) | (~node3(s8)) | m_processor_v_CMD(c_p1, s8, c_read_h_owned))),
% 50.23/32.91 inference(quant_inst,[status(thm)],[])).
% 50.23/32.91 tff(15517,plain,
% 50.23/32.91 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~m_main_v_CMD(s8, c_read_h_owned)) | (~node3(s8))),
% 50.23/32.91 inference(modus_ponens,[status(thm)],[15516, 15515])).
% 50.23/32.91 tff(15518,plain,
% 50.23/32.91 ($false),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[15517, 1945, 6484, 15511, 6297])).
% 50.23/32.91 tff(15519,plain,((~m_main_v_CMD(s8, c_read_h_owned)) | m_processor_v_CMD(c_p1, s8, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.91 tff(15520,plain,
% 50.23/32.91 (~m_main_v_CMD(s8, c_read_h_owned)),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[15519, 6297])).
% 50.23/32.91 tff(15521,plain,
% 50.23/32.91 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s8, c_read_h_owned) | (~node2(s8)) | (~m_processor_v_CMD(c_p0, s8, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s8, c_read_h_owned) | (~node2(s8)) | (~m_processor_v_CMD(c_p0, s8, c_read_h_owned)))),
% 50.23/32.91 inference(rewrite,[status(thm)],[])).
% 50.23/32.91 tff(15522,plain,
% 50.23/32.91 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s8, c_read_h_owned) | (~node2(s8)) | (~m_processor_v_CMD(c_p0, s8, c_read_h_owned)))),
% 50.23/32.91 inference(quant_inst,[status(thm)],[])).
% 50.23/32.91 tff(15523,plain,
% 50.23/32.91 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s8, c_read_h_owned) | (~node2(s8)) | (~m_processor_v_CMD(c_p0, s8, c_read_h_owned))),
% 50.23/32.91 inference(modus_ponens,[status(thm)],[15522, 15521])).
% 50.23/32.91 tff(15524,plain,
% 50.23/32.91 (~m_processor_v_CMD(c_p0, s8, c_read_h_owned)),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[15523, 1612, 15085, 15520])).
% 50.23/32.91 tff(15525,plain,
% 50.23/32.91 (m_processor_v_state(c_p0, s8, c_owned)),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[15024, 15524, 14967, 14759])).
% 50.23/32.91 tff(15526,plain,
% 50.23/32.91 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p0, s8, c_shared) | (~node63(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p0, s8, c_shared) | (~node63(c_p0, s8)))),
% 50.23/32.91 inference(rewrite,[status(thm)],[])).
% 50.23/32.91 tff(15527,plain,
% 50.23/32.91 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p0, s8, c_shared) | (~node63(c_p0, s8)))),
% 50.23/32.91 inference(quant_inst,[status(thm)],[])).
% 50.23/32.91 tff(15528,plain,
% 50.23/32.91 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p0, s8, c_shared) | (~node63(c_p0, s8))),
% 50.23/32.91 inference(modus_ponens,[status(thm)],[15527, 15526])).
% 50.23/32.91 tff(15529,plain,
% 50.23/32.91 (~node63(c_p0, s8)),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[15528, 1809, 14437])).
% 50.23/32.91 tff(15530,assumption,(m_processor_v_master(c_p0, s8)), introduced(assumption)).
% 50.23/32.91 tff(15531,plain,
% 50.23/32.91 (node34(c_p0, s8, s9)),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[14898, 15530, 14814])).
% 50.23/32.91 tff(15532,assumption,(node62(c_p0, s8)), introduced(assumption)).
% 50.23/32.91 tff(15533,plain,
% 50.23/32.91 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p0, s8, c_invalid) | (~node62(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p0, s8, c_invalid) | (~node62(c_p0, s8)))),
% 50.23/32.91 inference(rewrite,[status(thm)],[])).
% 50.23/32.91 tff(15534,plain,
% 50.23/32.91 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p0, s8, c_invalid) | (~node62(c_p0, s8)))),
% 50.23/32.91 inference(quant_inst,[status(thm)],[])).
% 50.23/32.91 tff(15535,plain,
% 50.23/32.91 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p0, s8, c_invalid) | (~node62(c_p0, s8))),
% 50.23/32.91 inference(modus_ponens,[status(thm)],[15534, 15533])).
% 50.23/32.91 tff(15536,plain,
% 50.23/32.91 ($false),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[15535, 1633, 15532, 14438])).
% 50.23/32.91 tff(15537,plain,((~node62(c_p0, s8)) | m_processor_v_state(c_p0, s8, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.91 tff(15538,plain,
% 50.23/32.91 (~node62(c_p0, s8)),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[15537, 14430])).
% 50.23/32.91 tff(15539,plain,
% 50.23/32.91 (((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p0, s8)) | (~node17(s8)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | (~m_processor_v_master(c_p0, s8)) | (~node17(s8)))),
% 50.23/32.91 inference(rewrite,[status(thm)],[])).
% 50.23/32.91 tff(15540,plain,
% 50.23/32.91 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p0, s8)) | (~node17(s8)))),
% 50.23/32.91 inference(quant_inst,[status(thm)],[])).
% 50.23/32.91 tff(15541,plain,
% 50.23/32.91 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~node17(X)))) | (~m_processor_v_master(c_p0, s8)) | (~node17(s8))),
% 50.23/32.91 inference(modus_ponens,[status(thm)],[15540, 15539])).
% 50.23/32.91 tff(15542,plain,
% 50.23/32.91 (~node17(s8)),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[15541, 1275, 15530])).
% 50.23/32.91 tff(15543,plain,
% 50.23/32.91 (((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | (node17(s8) | (~m_memory_v_master(c_m, s8)))) <=> ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | node17(s8) | (~m_memory_v_master(c_m, s8)))),
% 50.23/32.91 inference(rewrite,[status(thm)],[])).
% 50.23/32.91 tff(15544,plain,
% 50.23/32.91 ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | (node17(s8) | (~m_memory_v_master(c_m, s8)))),
% 50.23/32.91 inference(quant_inst,[status(thm)],[])).
% 50.23/32.91 tff(15545,plain,
% 50.23/32.91 ((~![X: $i] : (node17(X) | (~m_memory_v_master(c_m, X)))) | node17(s8) | (~m_memory_v_master(c_m, s8))),
% 50.23/32.91 inference(modus_ponens,[status(thm)],[15544, 15543])).
% 50.23/32.91 tff(15546,plain,
% 50.23/32.91 (~m_memory_v_master(c_m, s8)),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[15545, 1290, 15542])).
% 50.23/32.91 tff(15547,assumption,(node29(c_m, s8)), introduced(assumption)).
% 50.23/32.91 tff(15548,assumption,(~m_memory_v_master(c_m, s8)), introduced(assumption)).
% 50.23/32.91 tff(15549,plain,
% 50.23/32.91 (((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | (m_memory_v_master(c_m, s8) | (~node29(c_m, s8)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | m_memory_v_master(c_m, s8) | (~node29(c_m, s8)))),
% 50.23/32.91 inference(rewrite,[status(thm)],[])).
% 50.23/32.91 tff(15550,plain,
% 50.23/32.91 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | (m_memory_v_master(c_m, s8) | (~node29(c_m, s8)))),
% 50.23/32.91 inference(quant_inst,[status(thm)],[])).
% 50.23/32.91 tff(15551,plain,
% 50.23/32.91 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node29(I0, X)))) | m_memory_v_master(c_m, s8) | (~node29(c_m, s8))),
% 50.23/32.91 inference(modus_ponens,[status(thm)],[15550, 15549])).
% 50.23/32.91 tff(15552,plain,
% 50.23/32.91 ($false),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[15551, 1305, 15548, 15547])).
% 50.23/32.91 tff(15553,plain,((~node29(c_m, s8)) | m_memory_v_master(c_m, s8)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.91 tff(15554,plain,
% 50.23/32.91 (~node29(c_m, s8)),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[15553, 15546])).
% 50.23/32.91 tff(15555,plain,
% 50.23/32.91 (m_memory_v_cmd(c_m, s8, c_idle)),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[15489, 15554])).
% 50.23/32.91 tff(15556,assumption,(node16(s8)), introduced(assumption)).
% 50.23/32.91 tff(15557,plain,
% 50.23/32.91 (((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | ((~node16(s8)) | (~m_processor_v_master(c_p0, s8)))) <=> ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | (~node16(s8)) | (~m_processor_v_master(c_p0, s8)))),
% 50.23/32.91 inference(rewrite,[status(thm)],[])).
% 50.23/32.91 tff(15558,plain,
% 50.23/32.91 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | ((~node16(s8)) | (~m_processor_v_master(c_p0, s8)))),
% 50.23/32.91 inference(quant_inst,[status(thm)],[])).
% 50.23/32.91 tff(15559,plain,
% 50.23/32.91 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p0, X)))) | (~node16(s8)) | (~m_processor_v_master(c_p0, s8))),
% 50.23/32.91 inference(modus_ponens,[status(thm)],[15558, 15557])).
% 50.23/32.91 tff(15560,plain,
% 50.23/32.91 ($false),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[15559, 1530, 15530, 15556])).
% 50.23/32.91 tff(15561,plain,((~node16(s8)) | (~m_processor_v_master(c_p0, s8))), inference(lemma,lemma(discharge,[]))).
% 50.23/32.91 tff(15562,plain,
% 50.23/32.91 (~node16(s8)),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[15561, 15530])).
% 50.23/32.91 tff(15563,assumption,(~node16(s8)), introduced(assumption)).
% 50.23/32.91 tff(15564,assumption,(m_processor_v_master(c_p2, s8)), introduced(assumption)).
% 50.23/32.91 tff(15565,plain,
% 50.23/32.91 (((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | (node16(s8) | (~m_processor_v_master(c_p2, s8)))) <=> ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | node16(s8) | (~m_processor_v_master(c_p2, s8)))),
% 50.23/32.91 inference(rewrite,[status(thm)],[])).
% 50.23/32.91 tff(15566,plain,
% 50.23/32.91 ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | (node16(s8) | (~m_processor_v_master(c_p2, s8)))),
% 50.23/32.91 inference(quant_inst,[status(thm)],[])).
% 50.23/32.91 tff(15567,plain,
% 50.23/32.91 ((~![X: $i] : (node16(X) | (~m_processor_v_master(c_p2, X)))) | node16(s8) | (~m_processor_v_master(c_p2, s8))),
% 50.23/32.91 inference(modus_ponens,[status(thm)],[15566, 15565])).
% 50.23/32.91 tff(15568,plain,
% 50.23/32.91 ($false),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[15567, 1545, 15564, 15563])).
% 50.23/32.91 tff(15569,plain,(node16(s8) | (~m_processor_v_master(c_p2, s8))), inference(lemma,lemma(discharge,[]))).
% 50.23/32.91 tff(15570,plain,
% 50.23/32.91 (~m_processor_v_master(c_p2, s8)),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[15569, 15562])).
% 50.23/32.91 tff(15571,assumption,(~m_processor_v_master(c_p2, s8)), introduced(assumption)).
% 50.23/32.91 tff(15572,plain,
% 50.23/32.91 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p2, s8) | (~node62(c_p2, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p2, s8) | (~node62(c_p2, s8)))),
% 50.23/32.91 inference(rewrite,[status(thm)],[])).
% 50.23/32.91 tff(15573,plain,
% 50.23/32.91 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p2, s8) | (~node62(c_p2, s8)))),
% 50.23/32.91 inference(quant_inst,[status(thm)],[])).
% 50.23/32.91 tff(15574,plain,
% 50.23/32.91 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p2, s8) | (~node62(c_p2, s8))),
% 50.23/32.91 inference(modus_ponens,[status(thm)],[15573, 15572])).
% 50.23/32.91 tff(15575,plain,
% 50.23/32.91 (~node62(c_p2, s8)),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[15574, 1493, 15571])).
% 50.23/32.91 tff(15576,plain,
% 50.23/32.91 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p2, s8) | (~node63(c_p2, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p2, s8) | (~node63(c_p2, s8)))),
% 50.23/32.91 inference(rewrite,[status(thm)],[])).
% 50.23/32.91 tff(15577,plain,
% 50.23/32.91 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p2, s8) | (~node63(c_p2, s8)))),
% 50.23/32.91 inference(quant_inst,[status(thm)],[])).
% 50.23/32.91 tff(15578,plain,
% 50.23/32.91 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p2, s8) | (~node63(c_p2, s8))),
% 50.23/32.91 inference(modus_ponens,[status(thm)],[15577, 15576])).
% 50.23/32.91 tff(15579,plain,
% 50.23/32.91 (~node63(c_p2, s8)),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[15578, 1469, 15571])).
% 50.23/32.91 tff(15580,plain,
% 50.23/32.91 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p2, s8) | (~node64(c_p2, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p2, s8) | (~node64(c_p2, s8)))),
% 50.23/32.91 inference(rewrite,[status(thm)],[])).
% 50.23/32.91 tff(15581,plain,
% 50.23/32.91 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p2, s8) | (~node64(c_p2, s8)))),
% 50.23/32.91 inference(quant_inst,[status(thm)],[])).
% 50.23/32.91 tff(15582,plain,
% 50.23/32.91 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p2, s8) | (~node64(c_p2, s8))),
% 50.23/32.91 inference(modus_ponens,[status(thm)],[15581, 15580])).
% 50.23/32.91 tff(15583,plain,
% 50.23/32.91 (~node64(c_p2, s8)),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[15582, 1482, 15571])).
% 50.23/32.91 tff(15584,plain,
% 50.23/32.91 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p2, s8) | (~node66(c_p2, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p2, s8) | (~node66(c_p2, s8)))),
% 50.23/32.91 inference(rewrite,[status(thm)],[])).
% 50.23/32.91 tff(15585,plain,
% 50.23/32.91 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p2, s8) | (~node66(c_p2, s8)))),
% 50.23/32.91 inference(quant_inst,[status(thm)],[])).
% 50.23/32.91 tff(15586,plain,
% 50.23/32.91 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p2, s8) | (~node66(c_p2, s8))),
% 50.23/32.91 inference(modus_ponens,[status(thm)],[15585, 15584])).
% 50.23/32.91 tff(15587,plain,
% 50.23/32.91 (~node66(c_p2, s8)),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[15586, 1446, 15571])).
% 50.23/32.91 tff(15588,plain,
% 50.23/32.91 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p2, s8) | (~node65(c_p2, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p2, s8) | (~node65(c_p2, s8)))),
% 50.23/32.91 inference(rewrite,[status(thm)],[])).
% 50.23/32.91 tff(15589,plain,
% 50.23/32.91 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p2, s8) | (~node65(c_p2, s8)))),
% 50.23/32.91 inference(quant_inst,[status(thm)],[])).
% 50.23/32.91 tff(15590,plain,
% 50.23/32.91 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p2, s8) | (~node65(c_p2, s8))),
% 50.23/32.91 inference(modus_ponens,[status(thm)],[15589, 15588])).
% 50.23/32.91 tff(15591,plain,
% 50.23/32.91 (~node65(c_p2, s8)),
% 50.23/32.91 inference(unit_resolution,[status(thm)],[15590, 1457, 15571])).
% 50.23/32.91 tff(15592,assumption,(~m_processor_v_cmd(c_p2, s8, c_idle)), introduced(assumption)).
% 50.23/32.91 tff(15593,plain,
% 50.23/32.91 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s8, c_idle) | node66(c_p2, s8) | node65(c_p2, s8) | node64(c_p2, s8) | node63(c_p2, s8) | node62(c_p2, s8))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | m_processor_v_cmd(c_p2, s8, c_idle) | node66(c_p2, s8) | node65(c_p2, s8) | node64(c_p2, s8) | node63(c_p2, s8) | node62(c_p2, s8))),
% 50.23/32.92 inference(rewrite,[status(thm)],[])).
% 50.23/32.92 tff(15594,plain,
% 50.23/32.92 ((m_processor_v_cmd(c_p2, s8, c_idle) | node62(c_p2, s8) | node63(c_p2, s8) | node64(c_p2, s8) | node65(c_p2, s8) | node66(c_p2, s8)) <=> (m_processor_v_cmd(c_p2, s8, c_idle) | node66(c_p2, s8) | node65(c_p2, s8) | node64(c_p2, s8) | node63(c_p2, s8) | node62(c_p2, s8))),
% 50.23/32.92 inference(rewrite,[status(thm)],[])).
% 50.23/32.92 tff(15595,plain,
% 50.23/32.92 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s8, c_idle) | node62(c_p2, s8) | node63(c_p2, s8) | node64(c_p2, s8) | node65(c_p2, s8) | node66(c_p2, s8))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s8, c_idle) | node66(c_p2, s8) | node65(c_p2, s8) | node64(c_p2, s8) | node63(c_p2, s8) | node62(c_p2, s8)))),
% 50.23/32.92 inference(monotonicity,[status(thm)],[15594])).
% 50.23/32.92 tff(15596,plain,
% 50.23/32.92 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s8, c_idle) | node62(c_p2, s8) | node63(c_p2, s8) | node64(c_p2, s8) | node65(c_p2, s8) | node66(c_p2, s8))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | m_processor_v_cmd(c_p2, s8, c_idle) | node66(c_p2, s8) | node65(c_p2, s8) | node64(c_p2, s8) | node63(c_p2, s8) | node62(c_p2, s8))),
% 50.23/32.92 inference(transitivity,[status(thm)],[15595, 15593])).
% 50.23/32.92 tff(15597,plain,
% 50.23/32.92 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p2, s8, c_idle) | node62(c_p2, s8) | node63(c_p2, s8) | node64(c_p2, s8) | node65(c_p2, s8) | node66(c_p2, s8))),
% 50.23/32.92 inference(quant_inst,[status(thm)],[])).
% 50.23/32.92 tff(15598,plain,
% 50.23/32.92 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | m_processor_v_cmd(c_p2, s8, c_idle) | node66(c_p2, s8) | node65(c_p2, s8) | node64(c_p2, s8) | node63(c_p2, s8) | node62(c_p2, s8)),
% 50.23/32.92 inference(modus_ponens,[status(thm)],[15597, 15596])).
% 50.23/32.92 tff(15599,plain,
% 50.23/32.92 (node66(c_p2, s8) | node65(c_p2, s8) | node64(c_p2, s8) | node63(c_p2, s8) | node62(c_p2, s8)),
% 50.23/32.92 inference(unit_resolution,[status(thm)],[15598, 1508, 15592])).
% 50.23/32.92 tff(15600,plain,
% 50.23/32.92 ($false),
% 50.23/32.92 inference(unit_resolution,[status(thm)],[15599, 15591, 15587, 15583, 15579, 15575])).
% 50.23/32.92 tff(15601,plain,(m_processor_v_master(c_p2, s8) | m_processor_v_cmd(c_p2, s8, c_idle)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.92 tff(15602,plain,
% 50.23/32.92 (m_processor_v_cmd(c_p2, s8, c_idle)),
% 50.23/32.92 inference(unit_resolution,[status(thm)],[15601, 15570])).
% 50.23/32.92 tff(15603,assumption,(m_processor_v_master(c_p1, s8)), introduced(assumption)).
% 50.23/32.92 tff(15604,plain,
% 50.23/32.92 (((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | ((~m_processor_v_master(c_p0, s8)) | (~m_processor_v_master(c_p1, s8)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | (~m_processor_v_master(c_p0, s8)) | (~m_processor_v_master(c_p1, s8)))),
% 50.23/32.92 inference(rewrite,[status(thm)],[])).
% 50.23/32.92 tff(15605,plain,
% 50.23/32.92 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | ((~m_processor_v_master(c_p0, s8)) | (~m_processor_v_master(c_p1, s8)))),
% 50.23/32.92 inference(quant_inst,[status(thm)],[])).
% 50.23/32.92 tff(15606,plain,
% 50.23/32.92 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | (~m_processor_v_master(c_p0, s8)) | (~m_processor_v_master(c_p1, s8))),
% 50.23/32.92 inference(modus_ponens,[status(thm)],[15605, 15604])).
% 50.23/32.92 tff(15607,plain,
% 50.23/32.92 ($false),
% 50.23/32.92 inference(unit_resolution,[status(thm)],[15606, 794, 15530, 15603])).
% 50.23/32.92 tff(15608,plain,((~m_processor_v_master(c_p1, s8)) | (~m_processor_v_master(c_p0, s8))), inference(lemma,lemma(discharge,[]))).
% 50.23/32.92 tff(15609,plain,
% 50.23/32.92 (~m_processor_v_master(c_p1, s8)),
% 50.23/32.92 inference(unit_resolution,[status(thm)],[15608, 15530])).
% 50.23/32.92 tff(15610,plain,
% 50.23/32.92 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p1, s8) | (~node66(c_p1, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p1, s8) | (~node66(c_p1, s8)))),
% 50.23/32.92 inference(rewrite,[status(thm)],[])).
% 50.23/32.92 tff(15611,plain,
% 50.23/32.92 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p1, s8) | (~node66(c_p1, s8)))),
% 50.23/32.92 inference(quant_inst,[status(thm)],[])).
% 50.23/32.92 tff(15612,plain,
% 50.23/32.92 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p1, s8) | (~node66(c_p1, s8))),
% 50.23/32.92 inference(modus_ponens,[status(thm)],[15611, 15610])).
% 50.23/32.92 tff(15613,plain,
% 50.23/32.92 (~node66(c_p1, s8)),
% 50.23/32.92 inference(unit_resolution,[status(thm)],[15612, 1446, 6359])).
% 50.23/32.92 tff(15614,plain,
% 50.23/32.92 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p1, s8) | (~node64(c_p1, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p1, s8) | (~node64(c_p1, s8)))),
% 50.23/32.92 inference(rewrite,[status(thm)],[])).
% 50.23/32.92 tff(15615,plain,
% 50.23/32.92 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p1, s8) | (~node64(c_p1, s8)))),
% 50.23/32.92 inference(quant_inst,[status(thm)],[])).
% 50.23/32.92 tff(15616,plain,
% 50.23/32.92 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p1, s8) | (~node64(c_p1, s8))),
% 50.23/32.92 inference(modus_ponens,[status(thm)],[15615, 15614])).
% 50.23/32.92 tff(15617,plain,
% 50.23/32.92 (~node64(c_p1, s8)),
% 50.23/32.92 inference(unit_resolution,[status(thm)],[15616, 1482, 6359])).
% 50.23/32.92 tff(15618,plain,
% 50.23/32.92 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p1, s8) | (~node63(c_p1, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p1, s8) | (~node63(c_p1, s8)))),
% 50.23/32.92 inference(rewrite,[status(thm)],[])).
% 50.23/32.92 tff(15619,plain,
% 50.23/32.92 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p1, s8) | (~node63(c_p1, s8)))),
% 50.23/32.92 inference(quant_inst,[status(thm)],[])).
% 50.23/32.92 tff(15620,plain,
% 50.23/32.92 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p1, s8) | (~node63(c_p1, s8))),
% 50.23/32.92 inference(modus_ponens,[status(thm)],[15619, 15618])).
% 50.23/32.92 tff(15621,plain,
% 50.23/32.92 (~node63(c_p1, s8)),
% 50.23/32.92 inference(unit_resolution,[status(thm)],[15620, 1469, 6359])).
% 50.23/32.92 tff(15622,plain,
% 50.23/32.92 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p1, s8) | (~node65(c_p1, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p1, s8) | (~node65(c_p1, s8)))),
% 50.23/32.92 inference(rewrite,[status(thm)],[])).
% 50.23/32.92 tff(15623,plain,
% 50.23/32.92 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p1, s8) | (~node65(c_p1, s8)))),
% 50.23/32.92 inference(quant_inst,[status(thm)],[])).
% 50.23/32.92 tff(15624,plain,
% 50.23/32.92 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p1, s8) | (~node65(c_p1, s8))),
% 50.23/32.92 inference(modus_ponens,[status(thm)],[15623, 15622])).
% 50.23/32.92 tff(15625,plain,
% 50.23/32.92 (~node65(c_p1, s8)),
% 50.23/32.92 inference(unit_resolution,[status(thm)],[15624, 1457, 6359])).
% 50.23/32.92 tff(15626,plain,
% 50.23/32.92 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p1, s8) | (~node62(c_p1, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p1, s8) | (~node62(c_p1, s8)))),
% 50.23/32.92 inference(rewrite,[status(thm)],[])).
% 50.23/32.92 tff(15627,plain,
% 50.23/32.92 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p1, s8) | (~node62(c_p1, s8)))),
% 50.23/32.92 inference(quant_inst,[status(thm)],[])).
% 50.23/32.92 tff(15628,plain,
% 50.23/32.92 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p1, s8) | (~node62(c_p1, s8))),
% 50.23/32.92 inference(modus_ponens,[status(thm)],[15627, 15626])).
% 50.23/32.92 tff(15629,plain,
% 50.23/32.92 (~node62(c_p1, s8)),
% 50.23/32.92 inference(unit_resolution,[status(thm)],[15628, 1493, 6359])).
% 50.23/32.92 tff(15630,assumption,(~m_processor_v_cmd(c_p1, s8, c_idle)), introduced(assumption)).
% 50.23/32.92 tff(15631,plain,
% 50.23/32.92 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node64(c_p1, s8) | node62(c_p1, s8) | node63(c_p1, s8) | node65(c_p1, s8) | node66(c_p1, s8) | m_processor_v_cmd(c_p1, s8, c_idle))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node64(c_p1, s8) | node62(c_p1, s8) | node63(c_p1, s8) | node65(c_p1, s8) | node66(c_p1, s8) | m_processor_v_cmd(c_p1, s8, c_idle))),
% 50.23/32.92 inference(rewrite,[status(thm)],[])).
% 50.23/32.92 tff(15632,plain,
% 50.23/32.92 ((m_processor_v_cmd(c_p1, s8, c_idle) | node62(c_p1, s8) | node63(c_p1, s8) | node64(c_p1, s8) | node65(c_p1, s8) | node66(c_p1, s8)) <=> (node64(c_p1, s8) | node62(c_p1, s8) | node63(c_p1, s8) | node65(c_p1, s8) | node66(c_p1, s8) | m_processor_v_cmd(c_p1, s8, c_idle))),
% 50.23/32.92 inference(rewrite,[status(thm)],[])).
% 50.23/32.92 tff(15633,plain,
% 50.23/32.92 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s8, c_idle) | node62(c_p1, s8) | node63(c_p1, s8) | node64(c_p1, s8) | node65(c_p1, s8) | node66(c_p1, s8))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node64(c_p1, s8) | node62(c_p1, s8) | node63(c_p1, s8) | node65(c_p1, s8) | node66(c_p1, s8) | m_processor_v_cmd(c_p1, s8, c_idle)))),
% 50.23/32.92 inference(monotonicity,[status(thm)],[15632])).
% 50.23/32.92 tff(15634,plain,
% 50.23/32.92 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s8, c_idle) | node62(c_p1, s8) | node63(c_p1, s8) | node64(c_p1, s8) | node65(c_p1, s8) | node66(c_p1, s8))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node64(c_p1, s8) | node62(c_p1, s8) | node63(c_p1, s8) | node65(c_p1, s8) | node66(c_p1, s8) | m_processor_v_cmd(c_p1, s8, c_idle))),
% 50.23/32.92 inference(transitivity,[status(thm)],[15633, 15631])).
% 50.23/32.92 tff(15635,plain,
% 50.23/32.92 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p1, s8, c_idle) | node62(c_p1, s8) | node63(c_p1, s8) | node64(c_p1, s8) | node65(c_p1, s8) | node66(c_p1, s8))),
% 50.23/32.92 inference(quant_inst,[status(thm)],[])).
% 50.23/32.92 tff(15636,plain,
% 50.23/32.92 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node64(c_p1, s8) | node62(c_p1, s8) | node63(c_p1, s8) | node65(c_p1, s8) | node66(c_p1, s8) | m_processor_v_cmd(c_p1, s8, c_idle)),
% 50.23/32.92 inference(modus_ponens,[status(thm)],[15635, 15634])).
% 50.23/32.92 tff(15637,plain,
% 50.23/32.92 (node64(c_p1, s8) | node62(c_p1, s8) | node63(c_p1, s8) | node65(c_p1, s8) | node66(c_p1, s8)),
% 50.23/32.92 inference(unit_resolution,[status(thm)],[15636, 1508, 15630])).
% 50.23/32.92 tff(15638,plain,
% 50.23/32.92 ($false),
% 50.23/32.92 inference(unit_resolution,[status(thm)],[15637, 15629, 15625, 15621, 15617, 15613])).
% 50.23/32.92 tff(15639,plain,(m_processor_v_master(c_p1, s8) | m_processor_v_cmd(c_p1, s8, c_idle)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.92 tff(15640,plain,
% 50.23/32.92 (m_processor_v_cmd(c_p1, s8, c_idle)),
% 50.23/32.92 inference(unit_resolution,[status(thm)],[15639, 15609])).
% 50.23/32.92 tff(15641,plain,
% 50.23/32.92 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | ((~m_processor_v_cmd(c_p2, s8, c_idle)) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | (~m_memory_v_cmd(c_m, s8, c_idle)) | node8(s8))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | (~m_memory_v_cmd(c_m, s8, c_idle)) | node8(s8))),
% 50.23/32.92 inference(rewrite,[status(thm)],[])).
% 50.23/32.92 tff(15642,plain,
% 50.23/32.92 ((node8(s8) | (~m_memory_v_cmd(c_m, s8, c_idle)) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | (~m_processor_v_cmd(c_p1, s8, c_idle))) <=> ((~m_processor_v_cmd(c_p2, s8, c_idle)) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | (~m_memory_v_cmd(c_m, s8, c_idle)) | node8(s8))),
% 50.23/32.92 inference(rewrite,[status(thm)],[])).
% 50.23/32.92 tff(15643,plain,
% 50.23/32.92 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s8) | (~m_memory_v_cmd(c_m, s8, c_idle)) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | (~m_processor_v_cmd(c_p1, s8, c_idle)))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | ((~m_processor_v_cmd(c_p2, s8, c_idle)) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | (~m_memory_v_cmd(c_m, s8, c_idle)) | node8(s8)))),
% 50.23/32.92 inference(monotonicity,[status(thm)],[15642])).
% 50.23/32.92 tff(15644,plain,
% 50.23/32.92 (((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s8) | (~m_memory_v_cmd(c_m, s8, c_idle)) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | (~m_processor_v_cmd(c_p1, s8, c_idle)))) <=> ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | (~m_memory_v_cmd(c_m, s8, c_idle)) | node8(s8))),
% 50.23/32.92 inference(transitivity,[status(thm)],[15643, 15641])).
% 50.23/32.92 tff(15645,plain,
% 50.23/32.92 ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (node8(s8) | (~m_memory_v_cmd(c_m, s8, c_idle)) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | (~m_processor_v_cmd(c_p1, s8, c_idle)))),
% 50.23/32.92 inference(quant_inst,[status(thm)],[])).
% 50.23/32.92 tff(15646,plain,
% 50.23/32.92 ((~![X: $i] : (node8(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)))) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | (~m_memory_v_cmd(c_m, s8, c_idle)) | node8(s8)),
% 50.23/32.92 inference(modus_ponens,[status(thm)],[15645, 15644])).
% 50.23/32.92 tff(15647,plain,
% 50.23/32.92 (node8(s8)),
% 50.23/32.92 inference(unit_resolution,[status(thm)],[15646, 1593, 15640, 15602, 15555])).
% 50.23/32.92 tff(15648,plain,
% 50.23/32.92 ((~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | m_processor_v_state(c_p0, s9, c_shared)),
% 50.23/32.92 inference(unit_resolution,[status(thm)],[14905, 416, 14968])).
% 50.23/32.92 tff(15649,plain,
% 50.23/32.92 (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)),
% 50.23/32.92 inference(unit_resolution,[status(thm)],[15648, 14838])).
% 50.23/32.92 tff(15650,plain,
% 50.23/32.92 (m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s8, c_write_h_invalid)) | m_processor_v_state(c_p0, s9, c_invalid)),
% 50.23/32.92 inference(unit_resolution,[status(thm)],[14974, 512, 14968])).
% 50.23/32.92 tff(15651,plain,
% 50.23/32.92 (~m_processor_v_CMD(c_p0, s8, c_write_h_invalid)),
% 50.23/32.92 inference(unit_resolution,[status(thm)],[15650, 15649, 14863, 14780])).
% 50.23/32.92 tff(15652,plain,
% 50.23/32.92 (m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p0, s9, c_invalid)),
% 50.23/32.92 inference(unit_resolution,[status(thm)],[15010, 438, 14968])).
% 50.23/32.92 tff(15653,plain,
% 50.23/32.92 (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid)),
% 50.23/32.92 inference(unit_resolution,[status(thm)],[15652, 15651, 14863, 14780, 15649])).
% 50.23/32.92 tff(15654,plain,
% 50.23/32.92 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s8, c_write_h_resp_h_invalid)) | (~node2(s8)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s8, c_write_h_resp_h_invalid)) | (~node2(s8)))),
% 50.23/32.92 inference(rewrite,[status(thm)],[])).
% 50.23/32.92 tff(15655,plain,
% 50.23/32.92 (((~m_main_v_CMD(s8, c_write_h_resp_h_invalid)) | (~node2(s8)) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid)) <=> (m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s8, c_write_h_resp_h_invalid)) | (~node2(s8)))),
% 50.23/32.92 inference(rewrite,[status(thm)],[])).
% 50.23/32.92 tff(15656,plain,
% 50.23/32.92 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s8, c_write_h_resp_h_invalid)) | (~node2(s8)) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s8, c_write_h_resp_h_invalid)) | (~node2(s8))))),
% 50.23/32.92 inference(monotonicity,[status(thm)],[15655])).
% 50.23/32.92 tff(15657,plain,
% 50.23/32.92 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s8, c_write_h_resp_h_invalid)) | (~node2(s8)) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s8, c_write_h_resp_h_invalid)) | (~node2(s8)))),
% 50.23/32.92 inference(transitivity,[status(thm)],[15656, 15654])).
% 50.23/32.92 tff(15658,plain,
% 50.23/32.92 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s8, c_write_h_resp_h_invalid)) | (~node2(s8)) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid))),
% 50.23/32.92 inference(quant_inst,[status(thm)],[])).
% 50.23/32.92 tff(15659,plain,
% 50.23/32.92 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s8, c_write_h_resp_h_invalid)) | (~node2(s8))),
% 50.23/32.92 inference(modus_ponens,[status(thm)],[15658, 15657])).
% 50.23/32.92 tff(15660,plain,
% 50.23/32.92 (~m_main_v_CMD(s8, c_write_h_resp_h_invalid)),
% 50.23/32.92 inference(unit_resolution,[status(thm)],[15659, 1228, 15085, 15653])).
% 50.23/32.92 tff(15661,plain,
% 50.23/32.92 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s8)) | m_main_v_CMD(s8, c_write_h_resp_h_invalid) | (~m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s8)) | m_main_v_CMD(s8, c_write_h_resp_h_invalid) | (~m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_invalid)))),
% 50.23/32.92 inference(rewrite,[status(thm)],[])).
% 50.23/32.92 tff(15662,plain,
% 50.23/32.92 ((m_main_v_CMD(s8, c_write_h_resp_h_invalid) | (~node8(s8)) | (~m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_invalid))) <=> ((~node8(s8)) | m_main_v_CMD(s8, c_write_h_resp_h_invalid) | (~m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_invalid)))),
% 50.23/32.92 inference(rewrite,[status(thm)],[])).
% 50.23/32.92 tff(15663,plain,
% 50.23/32.92 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s8, c_write_h_resp_h_invalid) | (~node8(s8)) | (~m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s8)) | m_main_v_CMD(s8, c_write_h_resp_h_invalid) | (~m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_invalid))))),
% 50.23/32.92 inference(monotonicity,[status(thm)],[15662])).
% 50.23/32.92 tff(15664,plain,
% 50.23/32.92 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s8, c_write_h_resp_h_invalid) | (~node8(s8)) | (~m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s8)) | m_main_v_CMD(s8, c_write_h_resp_h_invalid) | (~m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_invalid)))),
% 50.23/32.92 inference(transitivity,[status(thm)],[15663, 15661])).
% 50.23/32.92 tff(15665,plain,
% 50.23/32.92 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s8, c_write_h_resp_h_invalid) | (~node8(s8)) | (~m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_invalid)))),
% 50.23/32.92 inference(quant_inst,[status(thm)],[])).
% 50.23/32.92 tff(15666,plain,
% 50.23/32.92 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s8)) | m_main_v_CMD(s8, c_write_h_resp_h_invalid) | (~m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_invalid))),
% 50.23/32.92 inference(modus_ponens,[status(thm)],[15665, 15664])).
% 50.23/32.92 tff(15667,plain,
% 50.23/32.92 (~m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_invalid)),
% 50.23/32.92 inference(unit_resolution,[status(thm)],[15666, 1669, 15660, 15647])).
% 50.23/32.92 tff(15668,assumption,(~node63(c_p0, s8)), introduced(assumption)).
% 50.23/32.92 tff(15669,plain,
% 50.23/32.92 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p0, s8, c_owned)) | node63(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_invalid) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8) | (~m_processor_v_snoop(c_p0, s8, c_owned)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p0, s8, c_owned)) | node63(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_invalid) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8) | (~m_processor_v_snoop(c_p0, s8, c_owned)))),
% 50.23/32.92 inference(rewrite,[status(thm)],[])).
% 50.23/32.92 tff(15670,plain,
% 50.23/32.92 ((m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s8, c_owned)) | (~m_processor_v_state(c_p0, s8, c_owned)) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8) | node63(c_p0, s8)) <=> ((~m_processor_v_state(c_p0, s8, c_owned)) | node63(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_invalid) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8) | (~m_processor_v_snoop(c_p0, s8, c_owned)))),
% 50.23/32.92 inference(rewrite,[status(thm)],[])).
% 50.23/32.92 tff(15671,plain,
% 50.23/32.92 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s8, c_owned)) | (~m_processor_v_state(c_p0, s8, c_owned)) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8) | node63(c_p0, s8))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p0, s8, c_owned)) | node63(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_invalid) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8) | (~m_processor_v_snoop(c_p0, s8, c_owned))))),
% 50.23/32.92 inference(monotonicity,[status(thm)],[15670])).
% 50.23/32.92 tff(15672,plain,
% 50.23/32.92 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s8, c_owned)) | (~m_processor_v_state(c_p0, s8, c_owned)) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8) | node63(c_p0, s8))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p0, s8, c_owned)) | node63(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_invalid) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8) | (~m_processor_v_snoop(c_p0, s8, c_owned)))),
% 50.23/32.93 inference(transitivity,[status(thm)],[15671, 15669])).
% 50.23/32.93 tff(15673,plain,
% 50.23/32.93 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s8, c_owned)) | (~m_processor_v_state(c_p0, s8, c_owned)) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8) | node63(c_p0, s8))),
% 50.23/32.93 inference(quant_inst,[status(thm)],[])).
% 50.23/32.93 tff(15674,plain,
% 50.23/32.93 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p0, s8, c_owned)) | node63(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_invalid) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8) | (~m_processor_v_snoop(c_p0, s8, c_owned))),
% 50.23/32.93 inference(modus_ponens,[status(thm)],[15673, 15672])).
% 50.23/32.93 tff(15675,plain,
% 50.23/32.93 ((~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_invalid) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8) | (~m_processor_v_snoop(c_p0, s8, c_owned))),
% 50.23/32.93 inference(unit_resolution,[status(thm)],[15674, 7172, 15668])).
% 50.23/32.93 tff(15676,plain,
% 50.23/32.93 (~m_processor_v_snoop(c_p0, s8, c_owned)),
% 50.23/32.93 inference(unit_resolution,[status(thm)],[15675, 15667, 15530, 14422, 15538])).
% 50.23/32.93 tff(15677,plain,
% 50.23/32.93 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p0, s8, c_owned) | (~node64(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p0, s8, c_owned) | (~node64(c_p0, s8)))),
% 50.23/32.93 inference(rewrite,[status(thm)],[])).
% 50.23/32.93 tff(15678,plain,
% 50.23/32.93 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p0, s8, c_owned) | (~node64(c_p0, s8)))),
% 50.23/32.93 inference(quant_inst,[status(thm)],[])).
% 50.23/32.93 tff(15679,plain,
% 50.23/32.93 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p0, s8, c_owned) | (~node64(c_p0, s8))),
% 50.23/32.93 inference(modus_ponens,[status(thm)],[15678, 15677])).
% 50.23/32.93 tff(15680,plain,
% 50.23/32.93 (~node64(c_p0, s8)),
% 50.23/32.93 inference(unit_resolution,[status(thm)],[15679, 4082, 15676])).
% 50.23/32.93 tff(15681,plain,
% 50.23/32.93 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | (~m_main_v_CMD(s8, c_write_h_invalid)) | (~node2(s8)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | (~m_main_v_CMD(s8, c_write_h_invalid)) | (~node2(s8)))),
% 50.23/32.93 inference(rewrite,[status(thm)],[])).
% 50.23/32.93 tff(15682,plain,
% 50.23/32.93 (((~m_main_v_CMD(s8, c_write_h_invalid)) | (~node2(s8)) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid)) <=> (m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | (~m_main_v_CMD(s8, c_write_h_invalid)) | (~node2(s8)))),
% 50.23/32.93 inference(rewrite,[status(thm)],[])).
% 50.23/32.93 tff(15683,plain,
% 50.23/32.93 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s8, c_write_h_invalid)) | (~node2(s8)) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | (~m_main_v_CMD(s8, c_write_h_invalid)) | (~node2(s8))))),
% 50.23/32.93 inference(monotonicity,[status(thm)],[15682])).
% 50.23/32.93 tff(15684,plain,
% 50.23/32.93 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s8, c_write_h_invalid)) | (~node2(s8)) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | (~m_main_v_CMD(s8, c_write_h_invalid)) | (~node2(s8)))),
% 50.23/32.93 inference(transitivity,[status(thm)],[15683, 15681])).
% 50.23/32.93 tff(15685,plain,
% 50.23/32.93 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s8, c_write_h_invalid)) | (~node2(s8)) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid))),
% 50.23/32.93 inference(quant_inst,[status(thm)],[])).
% 50.23/32.93 tff(15686,plain,
% 50.23/32.93 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | (~m_main_v_CMD(s8, c_write_h_invalid)) | (~node2(s8))),
% 50.23/32.93 inference(modus_ponens,[status(thm)],[15685, 15684])).
% 50.23/32.93 tff(15687,plain,
% 50.23/32.93 (~m_main_v_CMD(s8, c_write_h_invalid)),
% 50.23/32.93 inference(unit_resolution,[status(thm)],[15686, 1228, 15085, 15651])).
% 50.23/32.93 tff(15688,plain,
% 50.23/32.93 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s8)) | m_main_v_CMD(s8, c_write_h_invalid) | (~m_processor_v_cmd(c_p0, s8, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s8)) | m_main_v_CMD(s8, c_write_h_invalid) | (~m_processor_v_cmd(c_p0, s8, c_write_h_invalid)))),
% 50.23/32.93 inference(rewrite,[status(thm)],[])).
% 50.23/32.93 tff(15689,plain,
% 50.23/32.93 ((m_main_v_CMD(s8, c_write_h_invalid) | (~node8(s8)) | (~m_processor_v_cmd(c_p0, s8, c_write_h_invalid))) <=> ((~node8(s8)) | m_main_v_CMD(s8, c_write_h_invalid) | (~m_processor_v_cmd(c_p0, s8, c_write_h_invalid)))),
% 50.23/32.93 inference(rewrite,[status(thm)],[])).
% 50.23/32.93 tff(15690,plain,
% 50.23/32.93 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s8, c_write_h_invalid) | (~node8(s8)) | (~m_processor_v_cmd(c_p0, s8, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s8)) | m_main_v_CMD(s8, c_write_h_invalid) | (~m_processor_v_cmd(c_p0, s8, c_write_h_invalid))))),
% 50.23/32.93 inference(monotonicity,[status(thm)],[15689])).
% 50.23/32.93 tff(15691,plain,
% 50.23/32.93 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s8, c_write_h_invalid) | (~node8(s8)) | (~m_processor_v_cmd(c_p0, s8, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s8)) | m_main_v_CMD(s8, c_write_h_invalid) | (~m_processor_v_cmd(c_p0, s8, c_write_h_invalid)))),
% 50.23/32.93 inference(transitivity,[status(thm)],[15690, 15688])).
% 50.23/32.93 tff(15692,plain,
% 50.23/32.93 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s8, c_write_h_invalid) | (~node8(s8)) | (~m_processor_v_cmd(c_p0, s8, c_write_h_invalid)))),
% 50.23/32.93 inference(quant_inst,[status(thm)],[])).
% 50.23/32.93 tff(15693,plain,
% 50.23/32.93 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s8)) | m_main_v_CMD(s8, c_write_h_invalid) | (~m_processor_v_cmd(c_p0, s8, c_write_h_invalid))),
% 50.23/32.93 inference(modus_ponens,[status(thm)],[15692, 15691])).
% 50.23/32.93 tff(15694,plain,
% 50.23/32.93 (~m_processor_v_cmd(c_p0, s8, c_write_h_invalid)),
% 50.23/32.93 inference(unit_resolution,[status(thm)],[15693, 1669, 15687, 15647])).
% 50.23/32.93 tff(15695,plain,
% 50.23/32.93 (m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s8, c_write_h_shared)) | m_processor_v_state(c_p0, s9, c_shared)),
% 50.23/32.93 inference(unit_resolution,[status(thm)],[14984, 456, 14968])).
% 50.23/32.93 tff(15696,plain,
% 50.23/32.93 (~m_processor_v_CMD(c_p0, s8, c_write_h_shared)),
% 50.23/32.93 inference(unit_resolution,[status(thm)],[15695, 15653, 14863, 14838, 15649, 15651])).
% 50.23/32.93 tff(15697,plain,
% 50.23/32.93 (m_processor_v_CMD(c_p0, s8, c_write_h_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s8, c_write_h_shared) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared)) | m_processor_v_state(c_p0, s9, c_shared)),
% 50.23/32.93 inference(unit_resolution,[status(thm)],[15000, 492, 14968])).
% 50.23/32.93 tff(15698,plain,
% 50.23/32.93 (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared)),
% 50.23/32.93 inference(unit_resolution,[status(thm)],[15697, 15696, 14863, 14838, 15649, 15651, 15653])).
% 50.23/32.93 tff(15699,assumption,(~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.23/32.93 tff(15700,assumption,(m_main_v_CMD(s8, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.23/32.93 tff(15701,plain,
% 50.23/32.93 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared) | (~m_main_v_CMD(s8, c_write_h_resp_h_shared)) | (~node2(s8)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared) | (~m_main_v_CMD(s8, c_write_h_resp_h_shared)) | (~node2(s8)))),
% 50.23/32.93 inference(rewrite,[status(thm)],[])).
% 50.23/32.93 tff(15702,plain,
% 50.23/32.93 (((~m_main_v_CMD(s8, c_write_h_resp_h_shared)) | (~node2(s8)) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared) | (~m_main_v_CMD(s8, c_write_h_resp_h_shared)) | (~node2(s8)))),
% 50.23/32.93 inference(rewrite,[status(thm)],[])).
% 50.23/32.93 tff(15703,plain,
% 50.23/32.93 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s8, c_write_h_resp_h_shared)) | (~node2(s8)) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared) | (~m_main_v_CMD(s8, c_write_h_resp_h_shared)) | (~node2(s8))))),
% 50.23/32.93 inference(monotonicity,[status(thm)],[15702])).
% 50.23/32.93 tff(15704,plain,
% 50.23/32.93 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s8, c_write_h_resp_h_shared)) | (~node2(s8)) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared) | (~m_main_v_CMD(s8, c_write_h_resp_h_shared)) | (~node2(s8)))),
% 50.23/32.93 inference(transitivity,[status(thm)],[15703, 15701])).
% 50.23/32.93 tff(15705,plain,
% 50.23/32.93 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s8, c_write_h_resp_h_shared)) | (~node2(s8)) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared))),
% 50.23/32.93 inference(quant_inst,[status(thm)],[])).
% 50.23/32.93 tff(15706,plain,
% 50.23/32.93 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared) | (~m_main_v_CMD(s8, c_write_h_resp_h_shared)) | (~node2(s8))),
% 50.23/32.93 inference(modus_ponens,[status(thm)],[15705, 15704])).
% 50.23/32.93 tff(15707,plain,
% 50.23/32.93 ($false),
% 50.23/32.93 inference(unit_resolution,[status(thm)],[15706, 1228, 15085, 15700, 15699])).
% 50.23/32.93 tff(15708,plain,((~m_main_v_CMD(s8, c_write_h_resp_h_shared)) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.23/32.93 tff(15709,plain,
% 50.23/32.93 (~m_main_v_CMD(s8, c_write_h_resp_h_shared)),
% 50.23/32.93 inference(unit_resolution,[status(thm)],[15708, 15698])).
% 50.23/32.93 tff(15710,plain,
% 50.23/32.93 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s8)) | m_main_v_CMD(s8, c_write_h_resp_h_shared) | (~m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s8)) | m_main_v_CMD(s8, c_write_h_resp_h_shared) | (~m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_shared)))),
% 50.32/32.93 inference(rewrite,[status(thm)],[])).
% 50.32/32.93 tff(15711,plain,
% 50.32/32.93 ((m_main_v_CMD(s8, c_write_h_resp_h_shared) | (~node8(s8)) | (~m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_shared))) <=> ((~node8(s8)) | m_main_v_CMD(s8, c_write_h_resp_h_shared) | (~m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_shared)))),
% 50.32/32.93 inference(rewrite,[status(thm)],[])).
% 50.32/32.93 tff(15712,plain,
% 50.32/32.93 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s8, c_write_h_resp_h_shared) | (~node8(s8)) | (~m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s8)) | m_main_v_CMD(s8, c_write_h_resp_h_shared) | (~m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_shared))))),
% 50.32/32.93 inference(monotonicity,[status(thm)],[15711])).
% 50.32/32.93 tff(15713,plain,
% 50.32/32.93 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s8, c_write_h_resp_h_shared) | (~node8(s8)) | (~m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s8)) | m_main_v_CMD(s8, c_write_h_resp_h_shared) | (~m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_shared)))),
% 50.32/32.93 inference(transitivity,[status(thm)],[15712, 15710])).
% 50.32/32.93 tff(15714,plain,
% 50.32/32.93 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s8, c_write_h_resp_h_shared) | (~node8(s8)) | (~m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_shared)))),
% 50.32/32.93 inference(quant_inst,[status(thm)],[])).
% 50.32/32.93 tff(15715,plain,
% 50.32/32.93 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s8)) | m_main_v_CMD(s8, c_write_h_resp_h_shared) | (~m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_shared))),
% 50.32/32.93 inference(modus_ponens,[status(thm)],[15714, 15713])).
% 50.32/32.93 tff(15716,plain,
% 50.32/32.93 (~m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_shared)),
% 50.32/32.93 inference(unit_resolution,[status(thm)],[15715, 1669, 15647, 15709])).
% 50.32/32.93 tff(15717,plain,
% 50.32/32.93 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p0, s8, c_owned)) | node64(c_p0, s8) | node63(c_p0, s8) | (~m_processor_v_snoop(c_p0, s8, c_shared)) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p0, s8, c_owned)) | node64(c_p0, s8) | node63(c_p0, s8) | (~m_processor_v_snoop(c_p0, s8, c_shared)) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_shared))),
% 50.32/32.93 inference(rewrite,[status(thm)],[])).
% 50.32/32.93 tff(15718,plain,
% 50.32/32.93 ((m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s8, c_shared)) | (~m_processor_v_state(c_p0, s8, c_owned)) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8) | node63(c_p0, s8) | node64(c_p0, s8)) <=> ((~m_processor_v_state(c_p0, s8, c_owned)) | node64(c_p0, s8) | node63(c_p0, s8) | (~m_processor_v_snoop(c_p0, s8, c_shared)) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_shared))),
% 50.32/32.93 inference(rewrite,[status(thm)],[])).
% 50.32/32.93 tff(15719,plain,
% 50.32/32.93 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s8, c_shared)) | (~m_processor_v_state(c_p0, s8, c_owned)) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8) | node63(c_p0, s8) | node64(c_p0, s8))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p0, s8, c_owned)) | node64(c_p0, s8) | node63(c_p0, s8) | (~m_processor_v_snoop(c_p0, s8, c_shared)) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_shared)))),
% 50.32/32.93 inference(monotonicity,[status(thm)],[15718])).
% 50.32/32.93 tff(15720,plain,
% 50.32/32.93 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s8, c_shared)) | (~m_processor_v_state(c_p0, s8, c_owned)) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8) | node63(c_p0, s8) | node64(c_p0, s8))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p0, s8, c_owned)) | node64(c_p0, s8) | node63(c_p0, s8) | (~m_processor_v_snoop(c_p0, s8, c_shared)) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_shared))),
% 50.32/32.93 inference(transitivity,[status(thm)],[15719, 15717])).
% 50.32/32.93 tff(15721,plain,
% 50.32/32.93 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s8, c_shared)) | (~m_processor_v_state(c_p0, s8, c_owned)) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8) | node63(c_p0, s8) | node64(c_p0, s8))),
% 50.32/32.93 inference(quant_inst,[status(thm)],[])).
% 50.32/32.93 tff(15722,plain,
% 50.32/32.93 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p0, s8, c_owned)) | node64(c_p0, s8) | node63(c_p0, s8) | (~m_processor_v_snoop(c_p0, s8, c_shared)) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_shared)),
% 50.32/32.93 inference(modus_ponens,[status(thm)],[15721, 15720])).
% 50.32/32.93 tff(15723,plain,
% 50.32/32.93 ((~m_processor_v_state(c_p0, s8, c_owned)) | node64(c_p0, s8) | (~m_processor_v_snoop(c_p0, s8, c_shared)) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_shared)),
% 50.32/32.93 inference(unit_resolution,[status(thm)],[15722, 7256, 15668])).
% 50.32/32.93 tff(15724,plain,
% 50.32/32.93 (~m_processor_v_snoop(c_p0, s8, c_shared)),
% 50.32/32.93 inference(unit_resolution,[status(thm)],[15723, 15680, 15530, 14422, 15538, 15716])).
% 50.32/32.93 tff(15725,plain,
% 50.32/32.93 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s8, c_invalid) | m_processor_v_snoop(c_p0, s8, c_shared) | m_processor_v_snoop(c_p0, s8, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p0, s8, c_invalid) | m_processor_v_snoop(c_p0, s8, c_shared) | m_processor_v_snoop(c_p0, s8, c_owned))),
% 50.32/32.93 inference(rewrite,[status(thm)],[])).
% 50.32/32.93 tff(15726,plain,
% 50.32/32.93 ((m_processor_v_snoop(c_p0, s8, c_shared) | m_processor_v_snoop(c_p0, s8, c_owned) | m_processor_v_snoop(c_p0, s8, c_invalid)) <=> (m_processor_v_snoop(c_p0, s8, c_invalid) | m_processor_v_snoop(c_p0, s8, c_shared) | m_processor_v_snoop(c_p0, s8, c_owned))),
% 50.32/32.93 inference(rewrite,[status(thm)],[])).
% 50.32/32.93 tff(15727,plain,
% 50.32/32.93 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s8, c_shared) | m_processor_v_snoop(c_p0, s8, c_owned) | m_processor_v_snoop(c_p0, s8, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s8, c_invalid) | m_processor_v_snoop(c_p0, s8, c_shared) | m_processor_v_snoop(c_p0, s8, c_owned)))),
% 50.32/32.93 inference(monotonicity,[status(thm)],[15726])).
% 50.32/32.93 tff(15728,plain,
% 50.32/32.93 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s8, c_shared) | m_processor_v_snoop(c_p0, s8, c_owned) | m_processor_v_snoop(c_p0, s8, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p0, s8, c_invalid) | m_processor_v_snoop(c_p0, s8, c_shared) | m_processor_v_snoop(c_p0, s8, c_owned))),
% 50.32/32.93 inference(transitivity,[status(thm)],[15727, 15725])).
% 50.32/32.93 tff(15729,plain,
% 50.32/32.93 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s8, c_shared) | m_processor_v_snoop(c_p0, s8, c_owned) | m_processor_v_snoop(c_p0, s8, c_invalid))),
% 50.32/32.93 inference(quant_inst,[status(thm)],[])).
% 50.32/32.93 tff(15730,plain,
% 50.32/32.93 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p0, s8, c_invalid) | m_processor_v_snoop(c_p0, s8, c_shared) | m_processor_v_snoop(c_p0, s8, c_owned)),
% 50.32/32.93 inference(modus_ponens,[status(thm)],[15729, 15728])).
% 50.32/32.93 tff(15731,plain,
% 50.32/32.93 (m_processor_v_snoop(c_p0, s8, c_invalid) | m_processor_v_snoop(c_p0, s8, c_shared)),
% 50.32/32.93 inference(unit_resolution,[status(thm)],[15730, 7213, 15676])).
% 50.32/32.93 tff(15732,plain,
% 50.32/32.93 (m_processor_v_snoop(c_p0, s8, c_invalid)),
% 50.32/32.93 inference(unit_resolution,[status(thm)],[15731, 15724])).
% 50.32/32.93 tff(15733,plain,
% 50.32/32.93 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p0, s8, c_owned)) | node64(c_p0, s8) | node63(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_write_h_invalid) | node65(c_p0, s8) | (~m_processor_v_snoop(c_p0, s8, c_invalid)) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p0, s8, c_owned)) | node64(c_p0, s8) | node63(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_write_h_invalid) | node65(c_p0, s8) | (~m_processor_v_snoop(c_p0, s8, c_invalid)) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8))),
% 50.32/32.93 inference(rewrite,[status(thm)],[])).
% 50.32/32.93 tff(15734,plain,
% 50.32/32.93 ((m_processor_v_cmd(c_p0, s8, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s8, c_invalid)) | (~m_processor_v_state(c_p0, s8, c_owned)) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8) | node63(c_p0, s8) | node64(c_p0, s8) | node65(c_p0, s8)) <=> ((~m_processor_v_state(c_p0, s8, c_owned)) | node64(c_p0, s8) | node63(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_write_h_invalid) | node65(c_p0, s8) | (~m_processor_v_snoop(c_p0, s8, c_invalid)) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8))),
% 50.32/32.93 inference(rewrite,[status(thm)],[])).
% 50.32/32.93 tff(15735,plain,
% 50.32/32.93 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p0, s8, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s8, c_invalid)) | (~m_processor_v_state(c_p0, s8, c_owned)) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8) | node63(c_p0, s8) | node64(c_p0, s8) | node65(c_p0, s8))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p0, s8, c_owned)) | node64(c_p0, s8) | node63(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_write_h_invalid) | node65(c_p0, s8) | (~m_processor_v_snoop(c_p0, s8, c_invalid)) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8)))),
% 50.32/32.94 inference(monotonicity,[status(thm)],[15734])).
% 50.32/32.94 tff(15736,plain,
% 50.32/32.94 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p0, s8, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s8, c_invalid)) | (~m_processor_v_state(c_p0, s8, c_owned)) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8) | node63(c_p0, s8) | node64(c_p0, s8) | node65(c_p0, s8))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p0, s8, c_owned)) | node64(c_p0, s8) | node63(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_write_h_invalid) | node65(c_p0, s8) | (~m_processor_v_snoop(c_p0, s8, c_invalid)) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8))),
% 50.32/32.94 inference(transitivity,[status(thm)],[15735, 15733])).
% 50.32/32.94 tff(15737,plain,
% 50.32/32.94 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p0, s8, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s8, c_invalid)) | (~m_processor_v_state(c_p0, s8, c_owned)) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8) | node63(c_p0, s8) | node64(c_p0, s8) | node65(c_p0, s8))),
% 50.32/32.94 inference(quant_inst,[status(thm)],[])).
% 50.32/32.94 tff(15738,plain,
% 50.32/32.94 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p0, s8, c_owned)) | node64(c_p0, s8) | node63(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_write_h_invalid) | node65(c_p0, s8) | (~m_processor_v_snoop(c_p0, s8, c_invalid)) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8)),
% 50.32/32.94 inference(modus_ponens,[status(thm)],[15737, 15736])).
% 50.32/32.94 tff(15739,plain,
% 50.32/32.94 ((~m_processor_v_state(c_p0, s8, c_owned)) | node64(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_write_h_invalid) | node65(c_p0, s8) | (~m_processor_v_snoop(c_p0, s8, c_invalid)) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8)),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15738, 7232, 15668])).
% 50.32/32.94 tff(15740,plain,
% 50.32/32.94 (node65(c_p0, s8)),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15739, 15732, 15530, 14422, 15538, 15694, 15680])).
% 50.32/32.94 tff(15741,plain,
% 50.32/32.94 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p0, s8, c_shared) | (~node65(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p0, s8, c_shared) | (~node65(c_p0, s8)))),
% 50.32/32.94 inference(rewrite,[status(thm)],[])).
% 50.32/32.94 tff(15742,plain,
% 50.32/32.94 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p0, s8, c_shared) | (~node65(c_p0, s8)))),
% 50.32/32.94 inference(quant_inst,[status(thm)],[])).
% 50.32/32.94 tff(15743,plain,
% 50.32/32.94 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p0, s8, c_shared) | (~node65(c_p0, s8))),
% 50.32/32.94 inference(modus_ponens,[status(thm)],[15742, 15741])).
% 50.32/32.94 tff(15744,plain,
% 50.32/32.94 ($false),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15743, 4107, 15724, 15740])).
% 50.32/32.94 tff(15745,plain,(m_processor_v_state(c_p0, s9, c_shared) | (~m_processor_v_master(c_p0, s8)) | (~m_processor_v_state(c_p0, s8, c_owned)) | node63(c_p0, s8) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~node34(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.94 tff(15746,plain,
% 50.32/32.94 ($false),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15745, 15531, 15530, 14422, 14838, 14780, 15529, 14863])).
% 50.32/32.94 tff(15747,plain,((~m_processor_v_master(c_p0, s8)) | (~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_state(c_p0, s9, c_invalid) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | m_processor_v_abort(c_p0, s8)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.94 tff(15748,plain,
% 50.32/32.94 (~m_processor_v_master(c_p0, s8)),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15747, 15525, 14767, 14771, 14814, 15524])).
% 50.32/32.94 tff(15749,assumption,(node63(c_p0, s8)), introduced(assumption)).
% 50.32/32.94 tff(15750,plain,
% 50.32/32.94 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p0, s8) | (~node63(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p0, s8) | (~node63(c_p0, s8)))),
% 50.32/32.94 inference(rewrite,[status(thm)],[])).
% 50.32/32.94 tff(15751,plain,
% 50.32/32.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p0, s8) | (~node63(c_p0, s8)))),
% 50.32/32.94 inference(quant_inst,[status(thm)],[])).
% 50.32/32.94 tff(15752,plain,
% 50.32/32.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p0, s8) | (~node63(c_p0, s8))),
% 50.32/32.94 inference(modus_ponens,[status(thm)],[15751, 15750])).
% 50.32/32.94 tff(15753,plain,
% 50.32/32.94 ($false),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15752, 1469, 14772, 15749])).
% 50.32/32.94 tff(15754,plain,((~node63(c_p0, s8)) | m_processor_v_master(c_p0, s8)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.94 tff(15755,plain,
% 50.32/32.94 (~node63(c_p0, s8)),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15754, 15748])).
% 50.32/32.94 tff(15756,assumption,(~m_processor_v_cmd(c_p0, s8, c_idle)), introduced(assumption)).
% 50.32/32.94 tff(15757,assumption,(node65(c_p0, s8)), introduced(assumption)).
% 50.32/32.94 tff(15758,plain,
% 50.32/32.94 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p0, s8) | (~node65(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p0, s8) | (~node65(c_p0, s8)))),
% 50.32/32.94 inference(rewrite,[status(thm)],[])).
% 50.32/32.94 tff(15759,plain,
% 50.32/32.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p0, s8) | (~node65(c_p0, s8)))),
% 50.32/32.94 inference(quant_inst,[status(thm)],[])).
% 50.32/32.94 tff(15760,plain,
% 50.32/32.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p0, s8) | (~node65(c_p0, s8))),
% 50.32/32.94 inference(modus_ponens,[status(thm)],[15759, 15758])).
% 50.32/32.94 tff(15761,plain,
% 50.32/32.94 ($false),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15760, 1457, 14772, 15757])).
% 50.32/32.94 tff(15762,plain,((~node65(c_p0, s8)) | m_processor_v_master(c_p0, s8)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.94 tff(15763,plain,
% 50.32/32.94 (~node65(c_p0, s8)),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15762, 14772])).
% 50.32/32.94 tff(15764,plain,
% 50.32/32.94 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p0, s8) | (~node66(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p0, s8) | (~node66(c_p0, s8)))),
% 50.32/32.94 inference(rewrite,[status(thm)],[])).
% 50.32/32.94 tff(15765,plain,
% 50.32/32.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p0, s8) | (~node66(c_p0, s8)))),
% 50.32/32.94 inference(quant_inst,[status(thm)],[])).
% 50.32/32.94 tff(15766,plain,
% 50.32/32.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p0, s8) | (~node66(c_p0, s8))),
% 50.32/32.94 inference(modus_ponens,[status(thm)],[15765, 15764])).
% 50.32/32.94 tff(15767,plain,
% 50.32/32.94 (~node66(c_p0, s8)),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15766, 1446, 14772])).
% 50.32/32.94 tff(15768,plain,
% 50.32/32.94 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p0, s8) | (~node64(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p0, s8) | (~node64(c_p0, s8)))),
% 50.32/32.94 inference(rewrite,[status(thm)],[])).
% 50.32/32.94 tff(15769,plain,
% 50.32/32.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p0, s8) | (~node64(c_p0, s8)))),
% 50.32/32.94 inference(quant_inst,[status(thm)],[])).
% 50.32/32.94 tff(15770,plain,
% 50.32/32.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p0, s8) | (~node64(c_p0, s8))),
% 50.32/32.94 inference(modus_ponens,[status(thm)],[15769, 15768])).
% 50.32/32.94 tff(15771,plain,
% 50.32/32.94 (~node64(c_p0, s8)),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15770, 1482, 14772])).
% 50.32/32.94 tff(15772,assumption,(~node62(c_p0, s8)), introduced(assumption)).
% 50.32/32.94 tff(15773,assumption,(~node65(c_p0, s8)), introduced(assumption)).
% 50.32/32.94 tff(15774,plain,
% 50.32/32.94 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node64(c_p0, s8) | node63(c_p0, s8) | node65(c_p0, s8) | node62(c_p0, s8) | node66(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_idle))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node64(c_p0, s8) | node63(c_p0, s8) | node65(c_p0, s8) | node62(c_p0, s8) | node66(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_idle))),
% 50.32/32.94 inference(rewrite,[status(thm)],[])).
% 50.32/32.94 tff(15775,plain,
% 50.32/32.94 ((m_processor_v_cmd(c_p0, s8, c_idle) | node62(c_p0, s8) | node63(c_p0, s8) | node64(c_p0, s8) | node65(c_p0, s8) | node66(c_p0, s8)) <=> (node64(c_p0, s8) | node63(c_p0, s8) | node65(c_p0, s8) | node62(c_p0, s8) | node66(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_idle))),
% 50.32/32.94 inference(rewrite,[status(thm)],[])).
% 50.32/32.94 tff(15776,plain,
% 50.32/32.94 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s8, c_idle) | node62(c_p0, s8) | node63(c_p0, s8) | node64(c_p0, s8) | node65(c_p0, s8) | node66(c_p0, s8))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node64(c_p0, s8) | node63(c_p0, s8) | node65(c_p0, s8) | node62(c_p0, s8) | node66(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_idle)))),
% 50.32/32.94 inference(monotonicity,[status(thm)],[15775])).
% 50.32/32.94 tff(15777,plain,
% 50.32/32.94 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s8, c_idle) | node62(c_p0, s8) | node63(c_p0, s8) | node64(c_p0, s8) | node65(c_p0, s8) | node66(c_p0, s8))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node64(c_p0, s8) | node63(c_p0, s8) | node65(c_p0, s8) | node62(c_p0, s8) | node66(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_idle))),
% 50.32/32.94 inference(transitivity,[status(thm)],[15776, 15774])).
% 50.32/32.94 tff(15778,plain,
% 50.32/32.94 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s8, c_idle) | node62(c_p0, s8) | node63(c_p0, s8) | node64(c_p0, s8) | node65(c_p0, s8) | node66(c_p0, s8))),
% 50.32/32.94 inference(quant_inst,[status(thm)],[])).
% 50.32/32.94 tff(15779,plain,
% 50.32/32.94 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node64(c_p0, s8) | node63(c_p0, s8) | node65(c_p0, s8) | node62(c_p0, s8) | node66(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_idle)),
% 50.32/32.94 inference(modus_ponens,[status(thm)],[15778, 15777])).
% 50.32/32.94 tff(15780,plain,
% 50.32/32.94 (node64(c_p0, s8) | node66(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_idle)),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15779, 1508, 15668, 15773, 15772])).
% 50.32/32.94 tff(15781,plain,
% 50.32/32.94 ($false),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15780, 15771, 15767, 15756])).
% 50.32/32.94 tff(15782,plain,(m_processor_v_master(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_idle) | node63(c_p0, s8) | node65(c_p0, s8) | node62(c_p0, s8)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.94 tff(15783,plain,
% 50.32/32.94 (node62(c_p0, s8)),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15782, 15763, 15668, 14772, 15756])).
% 50.32/32.94 tff(15784,plain,
% 50.32/32.94 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p0, s8) | (~node62(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p0, s8) | (~node62(c_p0, s8)))),
% 50.32/32.94 inference(rewrite,[status(thm)],[])).
% 50.32/32.94 tff(15785,plain,
% 50.32/32.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p0, s8) | (~node62(c_p0, s8)))),
% 50.32/32.94 inference(quant_inst,[status(thm)],[])).
% 50.32/32.94 tff(15786,plain,
% 50.32/32.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p0, s8) | (~node62(c_p0, s8))),
% 50.32/32.94 inference(modus_ponens,[status(thm)],[15785, 15784])).
% 50.32/32.94 tff(15787,plain,
% 50.32/32.94 ($false),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15786, 1493, 14772, 15783])).
% 50.32/32.94 tff(15788,plain,(m_processor_v_master(c_p0, s8) | node63(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_idle)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.94 tff(15789,plain,
% 50.32/32.94 (m_processor_v_cmd(c_p0, s8, c_idle)),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15788, 15748, 15755])).
% 50.32/32.94 tff(15790,plain,
% 50.32/32.94 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p0, s8) | (~node48(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p0, s8) | (~node48(c_p0, s8)))),
% 50.32/32.94 inference(rewrite,[status(thm)],[])).
% 50.32/32.94 tff(15791,plain,
% 50.32/32.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p0, s8) | (~node48(c_p0, s8)))),
% 50.32/32.94 inference(quant_inst,[status(thm)],[])).
% 50.32/32.94 tff(15792,plain,
% 50.32/32.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p0, s8) | (~node48(c_p0, s8))),
% 50.32/32.94 inference(modus_ponens,[status(thm)],[15791, 15790])).
% 50.32/32.94 tff(15793,plain,
% 50.32/32.94 (~node48(c_p0, s8)),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15792, 11562, 15748])).
% 50.32/32.94 tff(15794,plain,
% 50.32/32.94 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p0, s8) | (~node47(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p0, s8) | (~node47(c_p0, s8)))),
% 50.32/32.94 inference(rewrite,[status(thm)],[])).
% 50.32/32.94 tff(15795,plain,
% 50.32/32.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p0, s8) | (~node47(c_p0, s8)))),
% 50.32/32.94 inference(quant_inst,[status(thm)],[])).
% 50.32/32.94 tff(15796,plain,
% 50.32/32.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p0, s8) | (~node47(c_p0, s8))),
% 50.32/32.94 inference(modus_ponens,[status(thm)],[15795, 15794])).
% 50.32/32.94 tff(15797,plain,
% 50.32/32.94 (~node47(c_p0, s8)),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15796, 12108, 15748])).
% 50.32/32.94 tff(15798,assumption,(m_processor_v_cmd(c_p0, s8, c_idle)), introduced(assumption)).
% 50.32/32.94 tff(15799,plain,
% 50.32/32.94 ($false),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[14951, 1381, 15050, 15066])).
% 50.32/32.94 tff(15800,plain,((~m_main_v_REPLY_h_STALL(s8)) | m_processor_v_REPLY_h_STALL(c_p0, s8)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.94 tff(15801,plain,
% 50.32/32.94 (~m_main_v_REPLY_h_STALL(s8)),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15800, 14948])).
% 50.32/32.94 tff(15802,plain,
% 50.32/32.94 (~m_processor_v_REPLY_h_STALL(c_p1, s8)),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[14943, 1399, 15801])).
% 50.32/32.94 tff(15803,plain,
% 50.32/32.94 (node61(c_p1, s8)),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[14939, 15802])).
% 50.32/32.94 tff(15804,plain,
% 50.32/32.94 (node59(c_p0, s8)),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[14953, 14914, 14890])).
% 50.32/32.94 tff(15805,plain,
% 50.32/32.94 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | (~node59(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | (~node59(c_p0, s8)))),
% 50.32/32.94 inference(rewrite,[status(thm)],[])).
% 50.32/32.94 tff(15806,plain,
% 50.32/32.94 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | (~node59(c_p0, s8)))),
% 50.32/32.94 inference(quant_inst,[status(thm)],[])).
% 50.32/32.94 tff(15807,plain,
% 50.32/32.94 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | (~node59(c_p0, s8))),
% 50.32/32.94 inference(modus_ponens,[status(thm)],[15806, 15805])).
% 50.32/32.94 tff(15808,plain,
% 50.32/32.94 (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15807, 3834, 15804])).
% 50.32/32.94 tff(15809,assumption,(m_main_v_CMD(s8, c_read_h_shared)), introduced(assumption)).
% 50.32/32.94 tff(15810,plain,
% 50.32/32.94 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s8, c_read_h_shared) | (~m_main_v_CMD(s8, c_read_h_shared)) | (~node2(s8)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | (~m_main_v_CMD(s8, c_read_h_shared)) | (~node2(s8)))),
% 50.32/32.94 inference(rewrite,[status(thm)],[])).
% 50.32/32.94 tff(15811,plain,
% 50.32/32.94 (((~m_main_v_CMD(s8, c_read_h_shared)) | (~node2(s8)) | m_processor_v_CMD(c_p0, s8, c_read_h_shared)) <=> (m_processor_v_CMD(c_p0, s8, c_read_h_shared) | (~m_main_v_CMD(s8, c_read_h_shared)) | (~node2(s8)))),
% 50.32/32.94 inference(rewrite,[status(thm)],[])).
% 50.32/32.94 tff(15812,plain,
% 50.32/32.94 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s8, c_read_h_shared)) | (~node2(s8)) | m_processor_v_CMD(c_p0, s8, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s8, c_read_h_shared) | (~m_main_v_CMD(s8, c_read_h_shared)) | (~node2(s8))))),
% 50.32/32.94 inference(monotonicity,[status(thm)],[15811])).
% 50.32/32.94 tff(15813,plain,
% 50.32/32.94 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s8, c_read_h_shared)) | (~node2(s8)) | m_processor_v_CMD(c_p0, s8, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | (~m_main_v_CMD(s8, c_read_h_shared)) | (~node2(s8)))),
% 50.32/32.94 inference(transitivity,[status(thm)],[15812, 15810])).
% 50.32/32.94 tff(15814,plain,
% 50.32/32.94 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s8, c_read_h_shared)) | (~node2(s8)) | m_processor_v_CMD(c_p0, s8, c_read_h_shared))),
% 50.32/32.94 inference(quant_inst,[status(thm)],[])).
% 50.32/32.94 tff(15815,plain,
% 50.32/32.94 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | (~m_main_v_CMD(s8, c_read_h_shared)) | (~node2(s8))),
% 50.32/32.94 inference(modus_ponens,[status(thm)],[15814, 15813])).
% 50.32/32.94 tff(15816,plain,
% 50.32/32.94 ($false),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15815, 1228, 15085, 15809, 14967])).
% 50.32/32.94 tff(15817,plain,((~m_main_v_CMD(s8, c_read_h_shared)) | m_processor_v_CMD(c_p0, s8, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.94 tff(15818,plain,
% 50.32/32.94 (~m_main_v_CMD(s8, c_read_h_shared)),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15817, 15808])).
% 50.32/32.94 tff(15819,plain,
% 50.32/32.94 (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[6511, 15818])).
% 50.32/32.94 tff(15820,plain,
% 50.32/32.94 (~m_processor_v_CMD(c_p0, s8, c_read_h_owned)),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[14957, 707, 15804])).
% 50.32/32.94 tff(15821,plain,
% 50.32/32.94 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_main_v_CMD(s8, c_read_h_owned)) | (~node2(s8)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_main_v_CMD(s8, c_read_h_owned)) | (~node2(s8)))),
% 50.32/32.94 inference(rewrite,[status(thm)],[])).
% 50.32/32.94 tff(15822,plain,
% 50.32/32.94 (((~m_main_v_CMD(s8, c_read_h_owned)) | (~node2(s8)) | m_processor_v_CMD(c_p0, s8, c_read_h_owned)) <=> (m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_main_v_CMD(s8, c_read_h_owned)) | (~node2(s8)))),
% 50.32/32.94 inference(rewrite,[status(thm)],[])).
% 50.32/32.94 tff(15823,plain,
% 50.32/32.94 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s8, c_read_h_owned)) | (~node2(s8)) | m_processor_v_CMD(c_p0, s8, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_main_v_CMD(s8, c_read_h_owned)) | (~node2(s8))))),
% 50.32/32.94 inference(monotonicity,[status(thm)],[15822])).
% 50.32/32.94 tff(15824,plain,
% 50.32/32.94 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s8, c_read_h_owned)) | (~node2(s8)) | m_processor_v_CMD(c_p0, s8, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_main_v_CMD(s8, c_read_h_owned)) | (~node2(s8)))),
% 50.32/32.94 inference(transitivity,[status(thm)],[15823, 15821])).
% 50.32/32.94 tff(15825,plain,
% 50.32/32.94 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s8, c_read_h_owned)) | (~node2(s8)) | m_processor_v_CMD(c_p0, s8, c_read_h_owned))),
% 50.32/32.94 inference(quant_inst,[status(thm)],[])).
% 50.32/32.94 tff(15826,plain,
% 50.32/32.94 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~m_main_v_CMD(s8, c_read_h_owned)) | (~node2(s8))),
% 50.32/32.94 inference(modus_ponens,[status(thm)],[15825, 15824])).
% 50.32/32.94 tff(15827,plain,
% 50.32/32.94 ($false),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15826, 1228, 15085, 15511, 14863])).
% 50.32/32.94 tff(15828,plain,((~m_main_v_CMD(s8, c_read_h_owned)) | m_processor_v_CMD(c_p0, s8, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.94 tff(15829,plain,
% 50.32/32.94 (~m_main_v_CMD(s8, c_read_h_owned)),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15828, 15820])).
% 50.32/32.94 tff(15830,plain,
% 50.32/32.94 (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[6489, 15829])).
% 50.32/32.94 tff(15831,plain,
% 50.32/32.94 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node61(c_p1, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node61(c_p1, s8)))),
% 50.32/32.94 inference(rewrite,[status(thm)],[])).
% 50.32/32.94 tff(15832,plain,
% 50.32/32.94 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node61(c_p1, s8)))),
% 50.32/32.94 inference(quant_inst,[status(thm)],[])).
% 50.32/32.94 tff(15833,plain,
% 50.32/32.94 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p1, s8, c_read_h_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node61(c_p1, s8))),
% 50.32/32.94 inference(modus_ponens,[status(thm)],[15832, 15831])).
% 50.32/32.94 tff(15834,plain,
% 50.32/32.94 ($false),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15833, 2268, 15830, 15819, 15803])).
% 50.32/32.94 tff(15835,plain,((~node60(c_p0, s8)) | (~m_processor_v_abort(c_p1, s8))), inference(lemma,lemma(discharge,[]))).
% 50.32/32.94 tff(15836,plain,
% 50.32/32.94 (~m_processor_v_abort(c_p1, s8)),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15835, 14913])).
% 50.32/32.94 tff(15837,plain,
% 50.32/32.94 (m_processor_v_master(c_p1, s8)),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15639, 15630])).
% 50.32/32.94 tff(15838,plain,
% 50.32/32.94 (((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p1, s8)) | (~node17(s8)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | (~m_processor_v_master(c_p1, s8)) | (~node17(s8)))),
% 50.32/32.94 inference(rewrite,[status(thm)],[])).
% 50.32/32.94 tff(15839,plain,
% 50.32/32.94 ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p1, s8)) | (~node17(s8)))),
% 50.32/32.94 inference(quant_inst,[status(thm)],[])).
% 50.32/32.94 tff(15840,plain,
% 50.32/32.94 ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | (~m_processor_v_master(c_p1, s8)) | (~node17(s8))),
% 50.32/32.94 inference(modus_ponens,[status(thm)],[15839, 15838])).
% 50.32/32.94 tff(15841,plain,
% 50.32/32.94 (~node17(s8)),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15840, 3344, 15837])).
% 50.32/32.94 tff(15842,plain,
% 50.32/32.94 (~m_memory_v_master(c_m, s8)),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15545, 1290, 15841])).
% 50.32/32.94 tff(15843,plain,
% 50.32/32.94 (~node29(c_m, s8)),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15553, 15842])).
% 50.32/32.94 tff(15844,plain,
% 50.32/32.94 (((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | (m_processor_v_cmd(c_p1, s8, c_idle) | (~node9(s8)))) <=> ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | m_processor_v_cmd(c_p1, s8, c_idle) | (~node9(s8)))),
% 50.32/32.94 inference(rewrite,[status(thm)],[])).
% 50.32/32.94 tff(15845,plain,
% 50.32/32.94 ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | (m_processor_v_cmd(c_p1, s8, c_idle) | (~node9(s8)))),
% 50.32/32.94 inference(quant_inst,[status(thm)],[])).
% 50.32/32.94 tff(15846,plain,
% 50.32/32.94 ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | m_processor_v_cmd(c_p1, s8, c_idle) | (~node9(s8))),
% 50.32/32.94 inference(modus_ponens,[status(thm)],[15845, 15844])).
% 50.32/32.94 tff(15847,plain,
% 50.32/32.94 (~node9(s8)),
% 50.32/32.94 inference(unit_resolution,[status(thm)],[15846, 3443, 15630])).
% 50.32/32.94 tff(15848,plain,
% 50.32/32.94 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s8)) | m_processor_v_abort(c_p1, s8) | (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)) | m_processor_v_waiting(c_p1, s9) | (~node53(c_p1, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s8)) | m_processor_v_abort(c_p1, s8) | (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)) | m_processor_v_waiting(c_p1, s9) | (~node53(c_p1, s8, s9)))),
% 50.32/32.94 inference(rewrite,[status(thm)],[])).
% 50.32/32.94 tff(15849,plain,
% 50.32/32.94 ((m_processor_v_waiting(c_p1, s9) | (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)) | (~m_processor_v_master(c_p1, s8)) | m_processor_v_abort(c_p1, s8) | (~node53(c_p1, s8, s9))) <=> ((~m_processor_v_master(c_p1, s8)) | m_processor_v_abort(c_p1, s8) | (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)) | m_processor_v_waiting(c_p1, s9) | (~node53(c_p1, s8, s9)))),
% 50.32/32.94 inference(rewrite,[status(thm)],[])).
% 50.32/32.94 tff(15850,plain,
% 50.32/32.94 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s9) | (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)) | (~m_processor_v_master(c_p1, s8)) | m_processor_v_abort(c_p1, s8) | (~node53(c_p1, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s8)) | m_processor_v_abort(c_p1, s8) | (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)) | m_processor_v_waiting(c_p1, s9) | (~node53(c_p1, s8, s9))))),
% 50.32/32.95 inference(monotonicity,[status(thm)],[15849])).
% 50.32/32.95 tff(15851,plain,
% 50.32/32.95 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s9) | (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)) | (~m_processor_v_master(c_p1, s8)) | m_processor_v_abort(c_p1, s8) | (~node53(c_p1, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s8)) | m_processor_v_abort(c_p1, s8) | (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)) | m_processor_v_waiting(c_p1, s9) | (~node53(c_p1, s8, s9)))),
% 50.32/32.95 inference(transitivity,[status(thm)],[15850, 15848])).
% 50.32/32.95 tff(15852,plain,
% 50.32/32.95 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s9) | (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)) | (~m_processor_v_master(c_p1, s8)) | m_processor_v_abort(c_p1, s8) | (~node53(c_p1, s8, s9)))),
% 50.32/32.95 inference(quant_inst,[status(thm)],[])).
% 50.32/32.95 tff(15853,plain,
% 50.32/32.95 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s8)) | m_processor_v_abort(c_p1, s8) | (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)) | m_processor_v_waiting(c_p1, s9) | (~node53(c_p1, s8, s9))),
% 50.32/32.95 inference(modus_ponens,[status(thm)],[15852, 15851])).
% 50.32/32.95 tff(15854,plain,
% 50.32/32.95 ((~m_processor_v_master(c_p1, s8)) | m_processor_v_abort(c_p1, s8) | (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)) | m_processor_v_waiting(c_p1, s9)),
% 50.32/32.95 inference(unit_resolution,[status(thm)],[15853, 589, 6531])).
% 50.32/32.95 tff(15855,plain,
% 50.32/32.95 (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)),
% 50.32/32.95 inference(unit_resolution,[status(thm)],[15854, 6414, 15603, 6290])).
% 50.32/32.95 tff(15856,plain,
% 50.32/32.95 (node34(c_p1, s8, s9)),
% 50.32/32.95 inference(unit_resolution,[status(thm)],[6467, 6414, 15603])).
% 50.32/32.95 tff(15857,plain,
% 50.32/32.95 (~m_processor_v_CMD(c_p1, s8, c_write_h_invalid)),
% 50.32/32.95 inference(unit_resolution,[status(thm)],[6312, 512, 6288, 15856, 6297, 15855])).
% 50.32/32.95 tff(15858,plain,
% 50.32/32.95 (m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid))),
% 50.32/32.95 inference(unit_resolution,[status(thm)],[6320, 438, 6288, 15856, 6297, 15855])).
% 50.32/32.95 tff(15859,plain,
% 50.32/32.95 (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid)),
% 50.32/32.95 inference(unit_resolution,[status(thm)],[15858, 15857])).
% 50.32/32.95 tff(15860,plain,
% 50.32/32.95 (m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s8, c_write_h_shared))),
% 50.32/32.95 inference(unit_resolution,[status(thm)],[6328, 456, 6289, 15856, 6297, 15855])).
% 50.32/32.95 tff(15861,plain,
% 50.32/32.95 (~m_processor_v_CMD(c_p1, s8, c_write_h_shared)),
% 50.32/32.95 inference(unit_resolution,[status(thm)],[15860, 15859, 15857])).
% 50.32/32.95 tff(15862,plain,
% 50.32/32.95 (m_processor_v_CMD(c_p1, s8, c_write_h_shared) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared))),
% 50.32/32.95 inference(unit_resolution,[status(thm)],[6345, 492, 6289, 15856, 6297, 15855])).
% 50.32/32.95 tff(15863,plain,
% 50.32/32.95 (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared)),
% 50.32/32.95 inference(unit_resolution,[status(thm)],[15862, 15861, 15857, 15859])).
% 50.32/32.95 tff(15864,assumption,(~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.32/32.95 tff(15865,plain,
% 50.32/32.95 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared) | (~m_main_v_CMD(s8, c_write_h_resp_h_shared)) | (~node3(s8)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared) | (~m_main_v_CMD(s8, c_write_h_resp_h_shared)) | (~node3(s8)))),
% 50.32/32.95 inference(rewrite,[status(thm)],[])).
% 50.32/32.95 tff(15866,plain,
% 50.32/32.95 (((~m_main_v_CMD(s8, c_write_h_resp_h_shared)) | (~node3(s8)) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared) | (~m_main_v_CMD(s8, c_write_h_resp_h_shared)) | (~node3(s8)))),
% 50.32/32.95 inference(rewrite,[status(thm)],[])).
% 50.32/32.95 tff(15867,plain,
% 50.32/32.95 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s8, c_write_h_resp_h_shared)) | (~node3(s8)) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared) | (~m_main_v_CMD(s8, c_write_h_resp_h_shared)) | (~node3(s8))))),
% 50.32/32.95 inference(monotonicity,[status(thm)],[15866])).
% 50.32/32.95 tff(15868,plain,
% 50.32/32.95 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s8, c_write_h_resp_h_shared)) | (~node3(s8)) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared) | (~m_main_v_CMD(s8, c_write_h_resp_h_shared)) | (~node3(s8)))),
% 50.32/32.95 inference(transitivity,[status(thm)],[15867, 15865])).
% 50.32/32.95 tff(15869,plain,
% 50.32/32.95 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s8, c_write_h_resp_h_shared)) | (~node3(s8)) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared))),
% 50.32/32.95 inference(quant_inst,[status(thm)],[])).
% 50.32/32.95 tff(15870,plain,
% 50.32/32.95 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared) | (~m_main_v_CMD(s8, c_write_h_resp_h_shared)) | (~node3(s8))),
% 50.32/32.95 inference(modus_ponens,[status(thm)],[15869, 15868])).
% 50.32/32.95 tff(15871,plain,
% 50.32/32.95 ($false),
% 50.32/32.95 inference(unit_resolution,[status(thm)],[15870, 1945, 6484, 15700, 15864])).
% 50.32/32.95 tff(15872,plain,((~m_main_v_CMD(s8, c_write_h_resp_h_shared)) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.95 tff(15873,plain,
% 50.32/32.95 (~m_main_v_CMD(s8, c_write_h_resp_h_shared)),
% 50.32/32.95 inference(unit_resolution,[status(thm)],[15872, 15863])).
% 50.32/32.95 tff(15874,assumption,(node10(s8)), introduced(assumption)).
% 50.32/32.95 tff(15875,plain,
% 50.32/32.95 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_shared)) | m_main_v_CMD(s8, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_shared)) | m_main_v_CMD(s8, c_write_h_resp_h_shared))),
% 50.32/32.95 inference(rewrite,[status(thm)],[])).
% 50.32/32.95 tff(15876,plain,
% 50.32/32.95 ((m_main_v_CMD(s8, c_write_h_resp_h_shared) | (~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_shared))) <=> ((~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_shared)) | m_main_v_CMD(s8, c_write_h_resp_h_shared))),
% 50.32/32.95 inference(rewrite,[status(thm)],[])).
% 50.32/32.95 tff(15877,plain,
% 50.32/32.95 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s8, c_write_h_resp_h_shared) | (~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_shared)) | m_main_v_CMD(s8, c_write_h_resp_h_shared)))),
% 50.32/32.95 inference(monotonicity,[status(thm)],[15876])).
% 50.32/32.95 tff(15878,plain,
% 50.32/32.95 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s8, c_write_h_resp_h_shared) | (~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_shared)) | m_main_v_CMD(s8, c_write_h_resp_h_shared))),
% 50.32/32.95 inference(transitivity,[status(thm)],[15877, 15875])).
% 50.32/32.95 tff(15879,plain,
% 50.32/32.95 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s8, c_write_h_resp_h_shared) | (~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_shared)))),
% 50.32/32.95 inference(quant_inst,[status(thm)],[])).
% 50.32/32.95 tff(15880,plain,
% 50.32/32.95 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_shared)) | m_main_v_CMD(s8, c_write_h_resp_h_shared)),
% 50.32/32.95 inference(modus_ponens,[status(thm)],[15879, 15878])).
% 50.32/32.95 tff(15881,plain,
% 50.32/32.95 (~m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_shared)),
% 50.32/32.95 inference(unit_resolution,[status(thm)],[15880, 3481, 15874, 15873])).
% 50.32/32.95 tff(15882,plain,
% 50.32/32.95 (~m_processor_v_state(c_p1, s8, c_shared)),
% 50.32/32.95 inference(unit_resolution,[status(thm)],[13150, 121, 13022])).
% 50.32/32.95 tff(15883,plain,
% 50.32/32.95 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p1, s8, c_shared) | (~node63(c_p1, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p1, s8, c_shared) | (~node63(c_p1, s8)))),
% 50.32/32.95 inference(rewrite,[status(thm)],[])).
% 50.32/32.95 tff(15884,plain,
% 50.32/32.95 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p1, s8, c_shared) | (~node63(c_p1, s8)))),
% 50.32/32.95 inference(quant_inst,[status(thm)],[])).
% 50.32/32.95 tff(15885,plain,
% 50.32/32.95 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p1, s8, c_shared) | (~node63(c_p1, s8))),
% 50.32/32.95 inference(modus_ponens,[status(thm)],[15884, 15883])).
% 50.32/32.95 tff(15886,plain,
% 50.32/32.95 (~node63(c_p1, s8)),
% 50.32/32.95 inference(unit_resolution,[status(thm)],[15885, 1809, 15882])).
% 50.32/32.95 tff(15887,assumption,(m_main_v_CMD(s8, c_write_h_invalid)), introduced(assumption)).
% 50.32/32.95 tff(15888,assumption,(~m_processor_v_CMD(c_p1, s8, c_write_h_invalid)), introduced(assumption)).
% 50.32/32.95 tff(15889,plain,
% 50.32/32.95 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | (~m_main_v_CMD(s8, c_write_h_invalid)) | (~node3(s8)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | (~m_main_v_CMD(s8, c_write_h_invalid)) | (~node3(s8)))),
% 50.32/32.95 inference(rewrite,[status(thm)],[])).
% 50.32/32.95 tff(15890,plain,
% 50.32/32.95 (((~m_main_v_CMD(s8, c_write_h_invalid)) | (~node3(s8)) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid)) <=> (m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | (~m_main_v_CMD(s8, c_write_h_invalid)) | (~node3(s8)))),
% 50.32/32.95 inference(rewrite,[status(thm)],[])).
% 50.32/32.95 tff(15891,plain,
% 50.32/32.95 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s8, c_write_h_invalid)) | (~node3(s8)) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | (~m_main_v_CMD(s8, c_write_h_invalid)) | (~node3(s8))))),
% 50.32/32.95 inference(monotonicity,[status(thm)],[15890])).
% 50.32/32.95 tff(15892,plain,
% 50.32/32.95 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s8, c_write_h_invalid)) | (~node3(s8)) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | (~m_main_v_CMD(s8, c_write_h_invalid)) | (~node3(s8)))),
% 50.32/32.95 inference(transitivity,[status(thm)],[15891, 15889])).
% 50.32/32.95 tff(15893,plain,
% 50.32/32.95 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s8, c_write_h_invalid)) | (~node3(s8)) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid))),
% 50.32/32.95 inference(quant_inst,[status(thm)],[])).
% 50.32/32.95 tff(15894,plain,
% 50.32/32.95 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid) | (~m_main_v_CMD(s8, c_write_h_invalid)) | (~node3(s8))),
% 50.32/32.95 inference(modus_ponens,[status(thm)],[15893, 15892])).
% 50.32/32.95 tff(15895,plain,
% 50.32/32.95 ($false),
% 50.32/32.95 inference(unit_resolution,[status(thm)],[15894, 1945, 6484, 15888, 15887])).
% 50.32/32.95 tff(15896,plain,((~m_main_v_CMD(s8, c_write_h_invalid)) | m_processor_v_CMD(c_p1, s8, c_write_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.95 tff(15897,plain,
% 50.32/32.95 (~m_main_v_CMD(s8, c_write_h_invalid)),
% 50.32/32.95 inference(unit_resolution,[status(thm)],[15896, 15857])).
% 50.32/32.95 tff(15898,plain,
% 50.32/32.95 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_invalid)) | m_main_v_CMD(s8, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_invalid)) | m_main_v_CMD(s8, c_write_h_invalid))),
% 50.32/32.95 inference(rewrite,[status(thm)],[])).
% 50.32/32.95 tff(15899,plain,
% 50.32/32.95 ((m_main_v_CMD(s8, c_write_h_invalid) | (~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_invalid))) <=> ((~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_invalid)) | m_main_v_CMD(s8, c_write_h_invalid))),
% 50.32/32.95 inference(rewrite,[status(thm)],[])).
% 50.32/32.95 tff(15900,plain,
% 50.32/32.95 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s8, c_write_h_invalid) | (~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_invalid)) | m_main_v_CMD(s8, c_write_h_invalid)))),
% 50.32/32.95 inference(monotonicity,[status(thm)],[15899])).
% 50.32/32.95 tff(15901,plain,
% 50.32/32.95 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s8, c_write_h_invalid) | (~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_invalid)) | m_main_v_CMD(s8, c_write_h_invalid))),
% 50.32/32.95 inference(transitivity,[status(thm)],[15900, 15898])).
% 50.32/32.95 tff(15902,plain,
% 50.32/32.95 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s8, c_write_h_invalid) | (~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_invalid)))),
% 50.32/32.95 inference(quant_inst,[status(thm)],[])).
% 50.32/32.95 tff(15903,plain,
% 50.32/32.95 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_invalid)) | m_main_v_CMD(s8, c_write_h_invalid)),
% 50.32/32.95 inference(modus_ponens,[status(thm)],[15902, 15901])).
% 50.32/32.95 tff(15904,plain,
% 50.32/32.95 (~m_processor_v_cmd(c_p1, s8, c_write_h_invalid)),
% 50.32/32.95 inference(unit_resolution,[status(thm)],[15903, 3481, 15897, 15874])).
% 50.32/32.95 tff(15905,assumption,(m_main_v_CMD(s8, c_write_h_resp_h_invalid)), introduced(assumption)).
% 50.32/32.95 tff(15906,assumption,(~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid)), introduced(assumption)).
% 50.32/32.95 tff(15907,plain,
% 50.32/32.95 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s8, c_write_h_resp_h_invalid)) | (~node3(s8)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s8, c_write_h_resp_h_invalid)) | (~node3(s8)))),
% 50.32/32.95 inference(rewrite,[status(thm)],[])).
% 50.32/32.95 tff(15908,plain,
% 50.32/32.95 (((~m_main_v_CMD(s8, c_write_h_resp_h_invalid)) | (~node3(s8)) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid)) <=> (m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s8, c_write_h_resp_h_invalid)) | (~node3(s8)))),
% 50.32/32.95 inference(rewrite,[status(thm)],[])).
% 50.32/32.95 tff(15909,plain,
% 50.32/32.95 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s8, c_write_h_resp_h_invalid)) | (~node3(s8)) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s8, c_write_h_resp_h_invalid)) | (~node3(s8))))),
% 50.32/32.95 inference(monotonicity,[status(thm)],[15908])).
% 50.32/32.95 tff(15910,plain,
% 50.32/32.95 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s8, c_write_h_resp_h_invalid)) | (~node3(s8)) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s8, c_write_h_resp_h_invalid)) | (~node3(s8)))),
% 50.32/32.95 inference(transitivity,[status(thm)],[15909, 15907])).
% 50.32/32.95 tff(15911,plain,
% 50.32/32.95 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s8, c_write_h_resp_h_invalid)) | (~node3(s8)) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid))),
% 50.32/32.95 inference(quant_inst,[status(thm)],[])).
% 50.32/32.95 tff(15912,plain,
% 50.32/32.95 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s8, c_write_h_resp_h_invalid)) | (~node3(s8))),
% 50.32/32.95 inference(modus_ponens,[status(thm)],[15911, 15910])).
% 50.32/32.95 tff(15913,plain,
% 50.32/32.95 ($false),
% 50.32/32.95 inference(unit_resolution,[status(thm)],[15912, 1945, 6484, 15906, 15905])).
% 50.32/32.95 tff(15914,plain,((~m_main_v_CMD(s8, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.95 tff(15915,plain,
% 50.32/32.95 (~m_main_v_CMD(s8, c_write_h_resp_h_invalid)),
% 50.32/32.95 inference(unit_resolution,[status(thm)],[15914, 15859])).
% 50.32/32.95 tff(15916,plain,
% 50.32/32.95 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_invalid)) | m_main_v_CMD(s8, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_invalid)) | m_main_v_CMD(s8, c_write_h_resp_h_invalid))),
% 50.32/32.95 inference(rewrite,[status(thm)],[])).
% 50.32/32.95 tff(15917,plain,
% 50.32/32.95 ((m_main_v_CMD(s8, c_write_h_resp_h_invalid) | (~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_invalid))) <=> ((~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_invalid)) | m_main_v_CMD(s8, c_write_h_resp_h_invalid))),
% 50.32/32.95 inference(rewrite,[status(thm)],[])).
% 50.32/32.95 tff(15918,plain,
% 50.32/32.95 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s8, c_write_h_resp_h_invalid) | (~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_invalid)) | m_main_v_CMD(s8, c_write_h_resp_h_invalid)))),
% 50.32/32.95 inference(monotonicity,[status(thm)],[15917])).
% 50.32/32.95 tff(15919,plain,
% 50.32/32.95 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s8, c_write_h_resp_h_invalid) | (~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_invalid)) | m_main_v_CMD(s8, c_write_h_resp_h_invalid))),
% 50.32/32.95 inference(transitivity,[status(thm)],[15918, 15916])).
% 50.32/32.95 tff(15920,plain,
% 50.32/32.95 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s8, c_write_h_resp_h_invalid) | (~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_invalid)))),
% 50.32/32.95 inference(quant_inst,[status(thm)],[])).
% 50.32/32.95 tff(15921,plain,
% 50.32/32.95 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_invalid)) | m_main_v_CMD(s8, c_write_h_resp_h_invalid)),
% 50.32/32.95 inference(modus_ponens,[status(thm)],[15920, 15919])).
% 50.32/32.95 tff(15922,plain,
% 50.32/32.95 (~m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_invalid)),
% 50.32/32.95 inference(unit_resolution,[status(thm)],[15921, 3481, 15915, 15874])).
% 50.32/32.95 tff(15923,plain,
% 50.32/32.95 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p1, s8, c_invalid) | (~node62(c_p1, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p1, s8, c_invalid) | (~node62(c_p1, s8)))),
% 50.32/32.95 inference(rewrite,[status(thm)],[])).
% 50.32/32.95 tff(15924,plain,
% 50.32/32.95 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p1, s8, c_invalid) | (~node62(c_p1, s8)))),
% 50.32/32.95 inference(quant_inst,[status(thm)],[])).
% 50.32/32.95 tff(15925,plain,
% 50.32/32.95 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p1, s8, c_invalid) | (~node62(c_p1, s8))),
% 50.32/32.95 inference(modus_ponens,[status(thm)],[15924, 15923])).
% 50.32/32.95 tff(15926,plain,
% 50.32/32.95 (~node62(c_p1, s8)),
% 50.32/32.95 inference(unit_resolution,[status(thm)],[15925, 1633, 13057])).
% 50.32/32.95 tff(15927,plain,
% 50.32/32.95 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node62(c_p1, s8) | node63(c_p1, s8) | (~m_processor_v_snoop(c_p1, s8, c_owned)) | m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node62(c_p1, s8) | node63(c_p1, s8) | (~m_processor_v_snoop(c_p1, s8, c_owned)) | m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_invalid))),
% 50.32/32.95 inference(rewrite,[status(thm)],[])).
% 50.32/32.95 tff(15928,plain,
% 50.32/32.95 ((m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s8, c_owned)) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node62(c_p1, s8) | node63(c_p1, s8)) <=> ((~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node62(c_p1, s8) | node63(c_p1, s8) | (~m_processor_v_snoop(c_p1, s8, c_owned)) | m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_invalid))),
% 50.32/32.95 inference(rewrite,[status(thm)],[])).
% 50.32/32.95 tff(15929,plain,
% 50.32/32.95 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s8, c_owned)) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node62(c_p1, s8) | node63(c_p1, s8))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node62(c_p1, s8) | node63(c_p1, s8) | (~m_processor_v_snoop(c_p1, s8, c_owned)) | m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_invalid)))),
% 50.32/32.95 inference(monotonicity,[status(thm)],[15928])).
% 50.32/32.95 tff(15930,plain,
% 50.32/32.95 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s8, c_owned)) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node62(c_p1, s8) | node63(c_p1, s8))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node62(c_p1, s8) | node63(c_p1, s8) | (~m_processor_v_snoop(c_p1, s8, c_owned)) | m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_invalid))),
% 50.32/32.95 inference(transitivity,[status(thm)],[15929, 15927])).
% 50.32/32.95 tff(15931,plain,
% 50.32/32.95 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s8, c_owned)) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node62(c_p1, s8) | node63(c_p1, s8))),
% 50.32/32.95 inference(quant_inst,[status(thm)],[])).
% 50.32/32.95 tff(15932,plain,
% 50.32/32.95 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node62(c_p1, s8) | node63(c_p1, s8) | (~m_processor_v_snoop(c_p1, s8, c_owned)) | m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_invalid)),
% 50.32/32.95 inference(modus_ponens,[status(thm)],[15931, 15930])).
% 50.32/32.95 tff(15933,plain,
% 50.32/32.95 ((~m_processor_v_master(c_p1, s8)) | node63(c_p1, s8) | (~m_processor_v_snoop(c_p1, s8, c_owned)) | m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_invalid)),
% 50.32/32.95 inference(unit_resolution,[status(thm)],[15932, 7172, 13022, 15926])).
% 50.32/32.95 tff(15934,plain,
% 50.32/32.95 (~m_processor_v_snoop(c_p1, s8, c_owned)),
% 50.32/32.95 inference(unit_resolution,[status(thm)],[15933, 15922, 15886, 15603])).
% 50.32/32.95 tff(15935,assumption,(~m_processor_v_snoop(c_p1, s8, c_shared)), introduced(assumption)).
% 50.32/32.95 tff(15936,assumption,(~m_processor_v_cmd(c_p1, s8, c_write_h_invalid)), introduced(assumption)).
% 50.32/32.95 tff(15937,assumption,(~m_processor_v_snoop(c_p1, s8, c_owned)), introduced(assumption)).
% 50.32/32.95 tff(15938,plain,
% 50.32/32.95 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p1, s8, c_owned) | (~node64(c_p1, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p1, s8, c_owned) | (~node64(c_p1, s8)))),
% 50.32/32.95 inference(rewrite,[status(thm)],[])).
% 50.32/32.95 tff(15939,plain,
% 50.32/32.95 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p1, s8, c_owned) | (~node64(c_p1, s8)))),
% 50.32/32.95 inference(quant_inst,[status(thm)],[])).
% 50.32/32.95 tff(15940,plain,
% 50.32/32.95 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p1, s8, c_owned) | (~node64(c_p1, s8))),
% 50.32/32.95 inference(modus_ponens,[status(thm)],[15939, 15938])).
% 50.32/32.95 tff(15941,plain,
% 50.32/32.95 (~node64(c_p1, s8)),
% 50.32/32.95 inference(unit_resolution,[status(thm)],[15940, 4082, 15937])).
% 50.32/32.95 tff(15942,plain,
% 50.32/32.95 (~m_processor_v_state(c_p1, s8, c_invalid)),
% 50.32/32.95 inference(unit_resolution,[status(thm)],[13054, 137, 13022])).
% 50.32/32.95 tff(15943,plain,
% 50.32/32.95 (~node62(c_p1, s8)),
% 50.32/32.95 inference(unit_resolution,[status(thm)],[15925, 1633, 15942])).
% 50.32/32.95 tff(15944,plain,
% 50.32/32.95 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s8, c_invalid) | m_processor_v_snoop(c_p1, s8, c_owned) | m_processor_v_snoop(c_p1, s8, c_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p1, s8, c_invalid) | m_processor_v_snoop(c_p1, s8, c_owned) | m_processor_v_snoop(c_p1, s8, c_shared))),
% 50.32/32.96 inference(rewrite,[status(thm)],[])).
% 50.32/32.96 tff(15945,plain,
% 50.32/32.96 ((m_processor_v_snoop(c_p1, s8, c_shared) | m_processor_v_snoop(c_p1, s8, c_owned) | m_processor_v_snoop(c_p1, s8, c_invalid)) <=> (m_processor_v_snoop(c_p1, s8, c_invalid) | m_processor_v_snoop(c_p1, s8, c_owned) | m_processor_v_snoop(c_p1, s8, c_shared))),
% 50.32/32.96 inference(rewrite,[status(thm)],[])).
% 50.32/32.96 tff(15946,plain,
% 50.32/32.96 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s8, c_shared) | m_processor_v_snoop(c_p1, s8, c_owned) | m_processor_v_snoop(c_p1, s8, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s8, c_invalid) | m_processor_v_snoop(c_p1, s8, c_owned) | m_processor_v_snoop(c_p1, s8, c_shared)))),
% 50.32/32.96 inference(monotonicity,[status(thm)],[15945])).
% 50.32/32.96 tff(15947,plain,
% 50.32/32.96 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s8, c_shared) | m_processor_v_snoop(c_p1, s8, c_owned) | m_processor_v_snoop(c_p1, s8, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p1, s8, c_invalid) | m_processor_v_snoop(c_p1, s8, c_owned) | m_processor_v_snoop(c_p1, s8, c_shared))),
% 50.32/32.96 inference(transitivity,[status(thm)],[15946, 15944])).
% 50.32/32.96 tff(15948,plain,
% 50.32/32.96 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s8, c_shared) | m_processor_v_snoop(c_p1, s8, c_owned) | m_processor_v_snoop(c_p1, s8, c_invalid))),
% 50.32/32.96 inference(quant_inst,[status(thm)],[])).
% 50.32/32.96 tff(15949,plain,
% 50.32/32.96 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p1, s8, c_invalid) | m_processor_v_snoop(c_p1, s8, c_owned) | m_processor_v_snoop(c_p1, s8, c_shared)),
% 50.32/32.96 inference(modus_ponens,[status(thm)],[15948, 15947])).
% 50.32/32.96 tff(15950,plain,
% 50.32/32.96 (m_processor_v_snoop(c_p1, s8, c_invalid) | m_processor_v_snoop(c_p1, s8, c_shared)),
% 50.32/32.96 inference(unit_resolution,[status(thm)],[15949, 7213, 15937])).
% 50.32/32.96 tff(15951,plain,
% 50.32/32.96 (m_processor_v_snoop(c_p1, s8, c_invalid)),
% 50.32/32.96 inference(unit_resolution,[status(thm)],[15950, 15935])).
% 50.32/32.96 tff(15952,assumption,(~node63(c_p1, s8)), introduced(assumption)).
% 50.32/32.96 tff(15953,plain,
% 50.32/32.96 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node64(c_p1, s8) | node62(c_p1, s8) | (~m_processor_v_snoop(c_p1, s8, c_invalid)) | node63(c_p1, s8) | node65(c_p1, s8) | m_processor_v_cmd(c_p1, s8, c_write_h_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node64(c_p1, s8) | node62(c_p1, s8) | (~m_processor_v_snoop(c_p1, s8, c_invalid)) | node63(c_p1, s8) | node65(c_p1, s8) | m_processor_v_cmd(c_p1, s8, c_write_h_invalid))),
% 50.32/32.96 inference(rewrite,[status(thm)],[])).
% 50.32/32.96 tff(15954,plain,
% 50.32/32.96 ((m_processor_v_cmd(c_p1, s8, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s8, c_invalid)) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node62(c_p1, s8) | node63(c_p1, s8) | node64(c_p1, s8) | node65(c_p1, s8)) <=> ((~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node64(c_p1, s8) | node62(c_p1, s8) | (~m_processor_v_snoop(c_p1, s8, c_invalid)) | node63(c_p1, s8) | node65(c_p1, s8) | m_processor_v_cmd(c_p1, s8, c_write_h_invalid))),
% 50.32/32.96 inference(rewrite,[status(thm)],[])).
% 50.32/32.96 tff(15955,plain,
% 50.32/32.96 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p1, s8, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s8, c_invalid)) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node62(c_p1, s8) | node63(c_p1, s8) | node64(c_p1, s8) | node65(c_p1, s8))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node64(c_p1, s8) | node62(c_p1, s8) | (~m_processor_v_snoop(c_p1, s8, c_invalid)) | node63(c_p1, s8) | node65(c_p1, s8) | m_processor_v_cmd(c_p1, s8, c_write_h_invalid)))),
% 50.32/32.96 inference(monotonicity,[status(thm)],[15954])).
% 50.32/32.96 tff(15956,plain,
% 50.32/32.96 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p1, s8, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s8, c_invalid)) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node62(c_p1, s8) | node63(c_p1, s8) | node64(c_p1, s8) | node65(c_p1, s8))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node64(c_p1, s8) | node62(c_p1, s8) | (~m_processor_v_snoop(c_p1, s8, c_invalid)) | node63(c_p1, s8) | node65(c_p1, s8) | m_processor_v_cmd(c_p1, s8, c_write_h_invalid))),
% 50.32/32.96 inference(transitivity,[status(thm)],[15955, 15953])).
% 50.32/32.96 tff(15957,plain,
% 50.32/32.96 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p1, s8, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s8, c_invalid)) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node62(c_p1, s8) | node63(c_p1, s8) | node64(c_p1, s8) | node65(c_p1, s8))),
% 50.32/32.96 inference(quant_inst,[status(thm)],[])).
% 50.32/32.96 tff(15958,plain,
% 50.32/32.96 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node64(c_p1, s8) | node62(c_p1, s8) | (~m_processor_v_snoop(c_p1, s8, c_invalid)) | node63(c_p1, s8) | node65(c_p1, s8) | m_processor_v_cmd(c_p1, s8, c_write_h_invalid)),
% 50.32/32.96 inference(modus_ponens,[status(thm)],[15957, 15956])).
% 50.32/32.96 tff(15959,plain,
% 50.32/32.96 ((~m_processor_v_master(c_p1, s8)) | node64(c_p1, s8) | node62(c_p1, s8) | (~m_processor_v_snoop(c_p1, s8, c_invalid)) | node65(c_p1, s8) | m_processor_v_cmd(c_p1, s8, c_write_h_invalid)),
% 50.32/32.96 inference(unit_resolution,[status(thm)],[15958, 7232, 13022, 15952])).
% 50.32/32.96 tff(15960,plain,
% 50.32/32.96 (node65(c_p1, s8)),
% 50.32/32.96 inference(unit_resolution,[status(thm)],[15959, 15951, 15943, 15603, 15941, 15936])).
% 50.32/32.96 tff(15961,plain,
% 50.32/32.96 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p1, s8, c_shared) | (~node65(c_p1, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p1, s8, c_shared) | (~node65(c_p1, s8)))),
% 50.32/32.96 inference(rewrite,[status(thm)],[])).
% 50.32/32.96 tff(15962,plain,
% 50.32/32.96 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p1, s8, c_shared) | (~node65(c_p1, s8)))),
% 50.32/32.96 inference(quant_inst,[status(thm)],[])).
% 50.32/32.96 tff(15963,plain,
% 50.32/32.96 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p1, s8, c_shared) | (~node65(c_p1, s8))),
% 50.32/32.96 inference(modus_ponens,[status(thm)],[15962, 15961])).
% 50.32/32.96 tff(15964,plain,
% 50.32/32.96 ($false),
% 50.32/32.96 inference(unit_resolution,[status(thm)],[15963, 4107, 15960, 15935])).
% 50.32/32.96 tff(15965,plain,(m_processor_v_snoop(c_p1, s8, c_shared) | (~m_processor_v_master(c_p1, s8)) | m_processor_v_cmd(c_p1, s8, c_write_h_invalid) | (~m_processor_v_state(c_p1, s8, c_owned)) | node63(c_p1, s8) | m_processor_v_snoop(c_p1, s8, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.96 tff(15966,plain,
% 50.32/32.96 (m_processor_v_snoop(c_p1, s8, c_shared)),
% 50.32/32.96 inference(unit_resolution,[status(thm)],[15965, 15934, 13022, 15603, 15886, 15904])).
% 50.32/32.96 tff(15967,plain,
% 50.32/32.96 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node64(c_p1, s8) | node62(c_p1, s8) | node63(c_p1, s8) | m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s8, c_shared)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node64(c_p1, s8) | node62(c_p1, s8) | node63(c_p1, s8) | m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s8, c_shared)))),
% 50.32/32.96 inference(rewrite,[status(thm)],[])).
% 50.32/32.96 tff(15968,plain,
% 50.32/32.96 ((m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s8, c_shared)) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node62(c_p1, s8) | node63(c_p1, s8) | node64(c_p1, s8)) <=> ((~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node64(c_p1, s8) | node62(c_p1, s8) | node63(c_p1, s8) | m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s8, c_shared)))),
% 50.32/32.96 inference(rewrite,[status(thm)],[])).
% 50.32/32.96 tff(15969,plain,
% 50.32/32.96 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s8, c_shared)) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node62(c_p1, s8) | node63(c_p1, s8) | node64(c_p1, s8))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node64(c_p1, s8) | node62(c_p1, s8) | node63(c_p1, s8) | m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s8, c_shared))))),
% 50.32/32.96 inference(monotonicity,[status(thm)],[15968])).
% 50.32/32.96 tff(15970,plain,
% 50.32/32.96 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s8, c_shared)) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node62(c_p1, s8) | node63(c_p1, s8) | node64(c_p1, s8))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node64(c_p1, s8) | node62(c_p1, s8) | node63(c_p1, s8) | m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s8, c_shared)))),
% 50.32/32.96 inference(transitivity,[status(thm)],[15969, 15967])).
% 50.32/32.96 tff(15971,plain,
% 50.32/32.96 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s8, c_shared)) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node62(c_p1, s8) | node63(c_p1, s8) | node64(c_p1, s8))),
% 50.32/32.96 inference(quant_inst,[status(thm)],[])).
% 50.32/32.96 tff(15972,plain,
% 50.32/32.96 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~m_processor_v_master(c_p1, s8)) | node64(c_p1, s8) | node62(c_p1, s8) | node63(c_p1, s8) | m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s8, c_shared))),
% 50.32/32.96 inference(modus_ponens,[status(thm)],[15971, 15970])).
% 50.32/32.96 tff(15973,plain,
% 50.32/32.96 ((~m_processor_v_master(c_p1, s8)) | node64(c_p1, s8) | node63(c_p1, s8) | m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s8, c_shared))),
% 50.32/32.96 inference(unit_resolution,[status(thm)],[15972, 7256, 13022, 15926])).
% 50.32/32.96 tff(15974,plain,
% 50.32/32.96 (node64(c_p1, s8)),
% 50.32/32.96 inference(unit_resolution,[status(thm)],[15973, 15966, 15886, 15603, 15881])).
% 50.32/32.96 tff(15975,plain,
% 50.32/32.96 ($false),
% 50.32/32.96 inference(unit_resolution,[status(thm)],[15940, 4082, 15934, 15974])).
% 50.32/32.96 tff(15976,plain,(m_processor_v_abort(c_p1, s8) | (~m_processor_v_master(c_p1, s8)) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~node10(s8)) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_waiting(c_p1, s9)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.96 tff(15977,plain,
% 50.32/32.96 (~node10(s8)),
% 50.32/32.96 inference(unit_resolution,[status(thm)],[15976, 15837, 6414, 13022, 6289, 6297, 6288, 6290])).
% 50.32/32.96 tff(15978,plain,
% 50.32/32.96 (((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | ((~node16(s8)) | (~m_processor_v_master(c_p1, s8)))) <=> ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | (~node16(s8)) | (~m_processor_v_master(c_p1, s8)))),
% 50.32/32.96 inference(rewrite,[status(thm)],[])).
% 50.32/32.96 tff(15979,plain,
% 50.32/32.96 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | ((~node16(s8)) | (~m_processor_v_master(c_p1, s8)))),
% 50.32/32.96 inference(quant_inst,[status(thm)],[])).
% 50.32/32.96 tff(15980,plain,
% 50.32/32.96 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | (~node16(s8)) | (~m_processor_v_master(c_p1, s8))),
% 50.32/32.96 inference(modus_ponens,[status(thm)],[15979, 15978])).
% 50.32/32.96 tff(15981,plain,
% 50.32/32.96 ($false),
% 50.32/32.96 inference(unit_resolution,[status(thm)],[15980, 3386, 15603, 15556])).
% 50.32/32.96 tff(15982,plain,((~m_processor_v_master(c_p1, s8)) | (~node16(s8))), inference(lemma,lemma(discharge,[]))).
% 50.32/32.96 tff(15983,plain,
% 50.32/32.96 (~node16(s8)),
% 50.32/32.96 inference(unit_resolution,[status(thm)],[15982, 15837])).
% 50.32/32.96 tff(15984,plain,
% 50.32/32.96 (~m_processor_v_master(c_p2, s8)),
% 50.32/32.96 inference(unit_resolution,[status(thm)],[15569, 15983])).
% 50.32/32.96 tff(15985,plain,
% 50.32/32.96 (m_processor_v_cmd(c_p2, s8, c_idle)),
% 50.32/32.96 inference(unit_resolution,[status(thm)],[15601, 15984])).
% 50.32/32.96 tff(15986,plain,
% 50.32/32.96 (~m_processor_v_master(c_p0, s8)),
% 50.32/32.96 inference(unit_resolution,[status(thm)],[15608, 15837])).
% 50.32/32.96 tff(15987,plain,
% 50.32/32.96 (m_processor_v_cmd(c_p0, s8, c_idle)),
% 50.32/32.96 inference(unit_resolution,[status(thm)],[15788, 15986, 15668])).
% 50.32/32.96 tff(15988,plain,
% 50.32/32.96 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s8) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | (~m_memory_v_cmd(c_m, s8, c_idle)) | node10(s8))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s8) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | (~m_memory_v_cmd(c_m, s8, c_idle)) | node10(s8))),
% 50.32/32.96 inference(rewrite,[status(thm)],[])).
% 50.32/32.96 tff(15989,plain,
% 50.32/32.96 ((node9(s8) | node10(s8) | (~m_memory_v_cmd(c_m, s8, c_idle)) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle))) <=> (node9(s8) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | (~m_memory_v_cmd(c_m, s8, c_idle)) | node10(s8))),
% 50.32/32.96 inference(rewrite,[status(thm)],[])).
% 50.32/32.96 tff(15990,plain,
% 50.32/32.96 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s8) | node10(s8) | (~m_memory_v_cmd(c_m, s8, c_idle)) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle)))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s8) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | (~m_memory_v_cmd(c_m, s8, c_idle)) | node10(s8)))),
% 50.32/32.96 inference(monotonicity,[status(thm)],[15989])).
% 50.32/32.96 tff(15991,plain,
% 50.32/32.96 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s8) | node10(s8) | (~m_memory_v_cmd(c_m, s8, c_idle)) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle)))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s8) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | (~m_memory_v_cmd(c_m, s8, c_idle)) | node10(s8))),
% 50.32/32.96 inference(transitivity,[status(thm)],[15990, 15988])).
% 50.32/32.96 tff(15992,plain,
% 50.32/32.96 ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s8) | node10(s8) | (~m_memory_v_cmd(c_m, s8, c_idle)) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle)))),
% 50.32/32.96 inference(quant_inst,[status(thm)],[])).
% 50.32/32.96 tff(15993,plain,
% 50.32/32.96 ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s8) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | (~m_memory_v_cmd(c_m, s8, c_idle)) | node10(s8)),
% 50.32/32.96 inference(modus_ponens,[status(thm)],[15992, 15991])).
% 50.32/32.96 tff(15994,plain,
% 50.32/32.96 (node9(s8) | (~m_memory_v_cmd(c_m, s8, c_idle))),
% 50.32/32.96 inference(unit_resolution,[status(thm)],[15993, 3461, 15987, 15985, 15977])).
% 50.32/32.96 tff(15995,plain,
% 50.32/32.96 (~m_memory_v_cmd(c_m, s8, c_idle)),
% 50.32/32.96 inference(unit_resolution,[status(thm)],[15994, 15847])).
% 50.32/32.96 tff(15996,plain,
% 50.32/32.96 ($false),
% 50.32/32.96 inference(unit_resolution,[status(thm)],[15489, 15995, 15843])).
% 50.32/32.96 tff(15997,plain,(m_processor_v_cmd(c_p1, s8, c_idle) | node63(c_p0, s8) | m_processor_v_abort(c_p1, s8) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_waiting(c_p1, s9)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.96 tff(15998,plain,
% 50.32/32.96 (m_processor_v_cmd(c_p1, s8, c_idle)),
% 50.32/32.96 inference(unit_resolution,[status(thm)],[15997, 15836, 13022, 15668, 6288, 6289, 6297, 6290])).
% 50.32/32.96 tff(15999,assumption,(~m_main_v_CMD(s8, c_idle)), introduced(assumption)).
% 50.32/32.96 tff(16000,plain,
% 50.32/32.96 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | ((~m_processor_v_cmd(c_p0, s8, c_idle)) | m_main_v_CMD(s8, c_idle) | (~node12(s8)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | m_main_v_CMD(s8, c_idle) | (~node12(s8)))),
% 50.32/32.96 inference(rewrite,[status(thm)],[])).
% 50.32/32.96 tff(16001,plain,
% 50.32/32.96 ((m_main_v_CMD(s8, c_idle) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | (~node12(s8))) <=> ((~m_processor_v_cmd(c_p0, s8, c_idle)) | m_main_v_CMD(s8, c_idle) | (~node12(s8)))),
% 50.32/32.96 inference(rewrite,[status(thm)],[])).
% 50.32/32.96 tff(16002,plain,
% 50.32/32.96 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s8, c_idle) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | (~node12(s8)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | ((~m_processor_v_cmd(c_p0, s8, c_idle)) | m_main_v_CMD(s8, c_idle) | (~node12(s8))))),
% 50.32/32.96 inference(monotonicity,[status(thm)],[16001])).
% 50.32/32.96 tff(16003,plain,
% 50.32/32.96 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s8, c_idle) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | (~node12(s8)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | m_main_v_CMD(s8, c_idle) | (~node12(s8)))),
% 50.32/32.96 inference(transitivity,[status(thm)],[16002, 16000])).
% 50.32/32.96 tff(16004,plain,
% 50.32/32.96 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s8, c_idle) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | (~node12(s8)))),
% 50.32/32.96 inference(quant_inst,[status(thm)],[])).
% 50.32/32.96 tff(16005,plain,
% 50.32/32.96 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | m_main_v_CMD(s8, c_idle) | (~node12(s8))),
% 50.32/32.96 inference(modus_ponens,[status(thm)],[16004, 16003])).
% 50.32/32.96 tff(16006,plain,
% 50.32/32.96 ((~m_processor_v_cmd(c_p0, s8, c_idle)) | (~node12(s8))),
% 50.32/32.96 inference(unit_resolution,[status(thm)],[16005, 2128, 15999])).
% 50.32/32.96 tff(16007,plain,
% 50.32/32.96 (~node12(s8)),
% 50.32/32.96 inference(unit_resolution,[status(thm)],[16006, 15798])).
% 50.32/32.96 tff(16008,plain,
% 50.32/32.96 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~m_processor_v_cmd(c_p0, s8, c_idle)) | m_main_v_CMD(s8, c_idle) | (~node8(s8)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | m_main_v_CMD(s8, c_idle) | (~node8(s8)))),
% 50.32/32.96 inference(rewrite,[status(thm)],[])).
% 50.32/32.96 tff(16009,plain,
% 50.32/32.96 ((m_main_v_CMD(s8, c_idle) | (~node8(s8)) | (~m_processor_v_cmd(c_p0, s8, c_idle))) <=> ((~m_processor_v_cmd(c_p0, s8, c_idle)) | m_main_v_CMD(s8, c_idle) | (~node8(s8)))),
% 50.32/32.96 inference(rewrite,[status(thm)],[])).
% 50.32/32.96 tff(16010,plain,
% 50.32/32.96 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s8, c_idle) | (~node8(s8)) | (~m_processor_v_cmd(c_p0, s8, c_idle)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~m_processor_v_cmd(c_p0, s8, c_idle)) | m_main_v_CMD(s8, c_idle) | (~node8(s8))))),
% 50.32/32.96 inference(monotonicity,[status(thm)],[16009])).
% 50.32/32.96 tff(16011,plain,
% 50.32/32.96 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s8, c_idle) | (~node8(s8)) | (~m_processor_v_cmd(c_p0, s8, c_idle)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | m_main_v_CMD(s8, c_idle) | (~node8(s8)))),
% 50.32/32.97 inference(transitivity,[status(thm)],[16010, 16008])).
% 50.32/32.97 tff(16012,plain,
% 50.32/32.97 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s8, c_idle) | (~node8(s8)) | (~m_processor_v_cmd(c_p0, s8, c_idle)))),
% 50.32/32.97 inference(quant_inst,[status(thm)],[])).
% 50.32/32.97 tff(16013,plain,
% 50.32/32.97 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | m_main_v_CMD(s8, c_idle) | (~node8(s8))),
% 50.32/32.97 inference(modus_ponens,[status(thm)],[16012, 16011])).
% 50.32/32.97 tff(16014,plain,
% 50.32/32.97 ((~m_processor_v_cmd(c_p0, s8, c_idle)) | (~node8(s8))),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[16013, 1669, 15999])).
% 50.32/32.97 tff(16015,plain,
% 50.32/32.97 (~node8(s8)),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[16014, 15798])).
% 50.32/32.97 tff(16016,assumption,(m_processor_v_cmd(c_p1, s8, c_idle)), introduced(assumption)).
% 50.32/32.97 tff(16017,plain,
% 50.32/32.97 ((~m_processor_v_cmd(c_p2, s8, c_idle)) | (~m_memory_v_cmd(c_m, s8, c_idle)) | node8(s8)),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[15646, 1593, 16016])).
% 50.32/32.97 tff(16018,plain,
% 50.32/32.97 (~m_processor_v_cmd(c_p2, s8, c_idle)),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[16017, 16015, 15510])).
% 50.32/32.97 tff(16019,plain,
% 50.32/32.97 (((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | ((~node9(s8)) | m_processor_v_cmd(c_p2, s8, c_idle))) <=> ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | (~node9(s8)) | m_processor_v_cmd(c_p2, s8, c_idle))),
% 50.32/32.97 inference(rewrite,[status(thm)],[])).
% 50.32/32.97 tff(16020,plain,
% 50.32/32.97 ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | ((~node9(s8)) | m_processor_v_cmd(c_p2, s8, c_idle))),
% 50.32/32.97 inference(quant_inst,[status(thm)],[])).
% 50.32/32.97 tff(16021,plain,
% 50.32/32.97 ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | (~node9(s8)) | m_processor_v_cmd(c_p2, s8, c_idle)),
% 50.32/32.97 inference(modus_ponens,[status(thm)],[16020, 16019])).
% 50.32/32.97 tff(16022,plain,
% 50.32/32.97 (~node9(s8)),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[16021, 2146, 16018])).
% 50.32/32.97 tff(16023,plain,
% 50.32/32.97 (((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (m_processor_v_cmd(c_p2, s8, c_idle) | (~node11(s8)))) <=> ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | m_processor_v_cmd(c_p2, s8, c_idle) | (~node11(s8)))),
% 50.32/32.97 inference(rewrite,[status(thm)],[])).
% 50.32/32.97 tff(16024,plain,
% 50.32/32.97 ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (m_processor_v_cmd(c_p2, s8, c_idle) | (~node11(s8)))),
% 50.32/32.97 inference(quant_inst,[status(thm)],[])).
% 50.32/32.97 tff(16025,plain,
% 50.32/32.97 ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | m_processor_v_cmd(c_p2, s8, c_idle) | (~node11(s8))),
% 50.32/32.97 inference(modus_ponens,[status(thm)],[16024, 16023])).
% 50.32/32.97 tff(16026,plain,
% 50.32/32.97 (~node11(s8)),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[16025, 2157, 16018])).
% 50.32/32.97 tff(16027,plain,
% 50.32/32.97 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s8) | node11(s8) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | (~m_memory_v_cmd(c_m, s8, c_idle)) | node12(s8))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s8) | node11(s8) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | (~m_memory_v_cmd(c_m, s8, c_idle)) | node12(s8))),
% 50.32/32.97 inference(rewrite,[status(thm)],[])).
% 50.32/32.97 tff(16028,plain,
% 50.32/32.97 ((node9(s8) | node11(s8) | node12(s8) | (~m_memory_v_cmd(c_m, s8, c_idle)) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle))) <=> (node9(s8) | node11(s8) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | (~m_memory_v_cmd(c_m, s8, c_idle)) | node12(s8))),
% 50.32/32.97 inference(rewrite,[status(thm)],[])).
% 50.32/32.97 tff(16029,plain,
% 50.32/32.97 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s8) | node11(s8) | node12(s8) | (~m_memory_v_cmd(c_m, s8, c_idle)) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s8) | node11(s8) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | (~m_memory_v_cmd(c_m, s8, c_idle)) | node12(s8)))),
% 50.32/32.97 inference(monotonicity,[status(thm)],[16028])).
% 50.32/32.97 tff(16030,plain,
% 50.32/32.97 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s8) | node11(s8) | node12(s8) | (~m_memory_v_cmd(c_m, s8, c_idle)) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s8) | node11(s8) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | (~m_memory_v_cmd(c_m, s8, c_idle)) | node12(s8))),
% 50.32/32.97 inference(transitivity,[status(thm)],[16029, 16027])).
% 50.32/32.97 tff(16031,plain,
% 50.32/32.97 ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s8) | node11(s8) | node12(s8) | (~m_memory_v_cmd(c_m, s8, c_idle)) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle)))),
% 50.32/32.97 inference(quant_inst,[status(thm)],[])).
% 50.32/32.97 tff(16032,plain,
% 50.32/32.97 ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s8) | node11(s8) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | (~m_memory_v_cmd(c_m, s8, c_idle)) | node12(s8)),
% 50.32/32.97 inference(modus_ponens,[status(thm)],[16031, 16030])).
% 50.32/32.97 tff(16033,plain,
% 50.32/32.97 (node9(s8) | node11(s8) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | (~m_memory_v_cmd(c_m, s8, c_idle)) | node12(s8)),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[16032, 2171, 16016])).
% 50.32/32.97 tff(16034,plain,
% 50.32/32.97 ($false),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[16033, 16026, 16022, 15510, 15798, 16007])).
% 50.32/32.97 tff(16035,plain,((~m_processor_v_cmd(c_p0, s8, c_idle)) | (~m_memory_v_cmd(c_m, s8, c_idle)) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | m_main_v_CMD(s8, c_idle)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.97 tff(16036,plain,
% 50.32/32.97 (m_main_v_CMD(s8, c_idle)),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[16035, 15998, 15510, 15798])).
% 50.32/32.97 tff(16037,plain,
% 50.32/32.97 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s8, c_idle)) | (~m_main_v_CMD(s8, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s8, c_idle)) | (~m_main_v_CMD(s8, c_write_h_resp_h_shared)))),
% 50.32/32.97 inference(rewrite,[status(thm)],[])).
% 50.32/32.97 tff(16038,plain,
% 50.32/32.97 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s8, c_idle)) | (~m_main_v_CMD(s8, c_write_h_resp_h_shared)))),
% 50.32/32.97 inference(quant_inst,[status(thm)],[])).
% 50.32/32.97 tff(16039,plain,
% 50.32/32.97 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s8, c_idle)) | (~m_main_v_CMD(s8, c_write_h_resp_h_shared))),
% 50.32/32.97 inference(modus_ponens,[status(thm)],[16038, 16037])).
% 50.32/32.97 tff(16040,plain,
% 50.32/32.97 (~m_main_v_CMD(s8, c_write_h_resp_h_shared)),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[16039, 7650, 16036])).
% 50.32/32.97 tff(16041,plain,
% 50.32/32.97 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s8, c_write_h_resp_h_shared) | (~node2(s8)) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s8, c_write_h_resp_h_shared) | (~node2(s8)) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared)))),
% 50.32/32.97 inference(rewrite,[status(thm)],[])).
% 50.32/32.97 tff(16042,plain,
% 50.32/32.97 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s8, c_write_h_resp_h_shared) | (~node2(s8)) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared)))),
% 50.32/32.97 inference(quant_inst,[status(thm)],[])).
% 50.32/32.97 tff(16043,plain,
% 50.32/32.97 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s8, c_write_h_resp_h_shared) | (~node2(s8)) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared))),
% 50.32/32.97 inference(modus_ponens,[status(thm)],[16042, 16041])).
% 50.32/32.97 tff(16044,plain,
% 50.32/32.97 (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared)),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[16043, 1612, 15085, 16040])).
% 50.32/32.97 tff(16045,plain,
% 50.32/32.97 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared) | (~node51(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared) | (~node51(c_p0, s8)))),
% 50.32/32.97 inference(rewrite,[status(thm)],[])).
% 50.32/32.97 tff(16046,plain,
% 50.32/32.97 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared) | (~node51(c_p0, s8)))),
% 50.32/32.97 inference(quant_inst,[status(thm)],[])).
% 50.32/32.97 tff(16047,plain,
% 50.32/32.97 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_shared) | (~node51(c_p0, s8))),
% 50.32/32.97 inference(modus_ponens,[status(thm)],[16046, 16045])).
% 50.32/32.97 tff(16048,plain,
% 50.32/32.97 (~node51(c_p0, s8)),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[16047, 11549, 16044])).
% 50.32/32.97 tff(16049,assumption,(~node48(c_p0, s8)), introduced(assumption)).
% 50.32/32.97 tff(16050,assumption,(~node47(c_p0, s8)), introduced(assumption)).
% 50.32/32.97 tff(16051,plain,
% 50.32/32.97 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s8, c_idle)) | (~m_main_v_CMD(s8, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s8, c_idle)) | (~m_main_v_CMD(s8, c_response)))),
% 50.32/32.97 inference(rewrite,[status(thm)],[])).
% 50.32/32.97 tff(16052,plain,
% 50.32/32.97 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s8, c_idle)) | (~m_main_v_CMD(s8, c_response)))),
% 50.32/32.97 inference(quant_inst,[status(thm)],[])).
% 50.32/32.97 tff(16053,plain,
% 50.32/32.97 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s8, c_idle)) | (~m_main_v_CMD(s8, c_response))),
% 50.32/32.97 inference(modus_ponens,[status(thm)],[16052, 16051])).
% 50.32/32.97 tff(16054,plain,
% 50.32/32.97 (~m_main_v_CMD(s8, c_response)),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[16053, 10097, 16036])).
% 50.32/32.97 tff(16055,plain,
% 50.32/32.97 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s8, c_response) | (~node2(s8)) | (~m_processor_v_CMD(c_p0, s8, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s8, c_response) | (~node2(s8)) | (~m_processor_v_CMD(c_p0, s8, c_response)))),
% 50.32/32.97 inference(rewrite,[status(thm)],[])).
% 50.32/32.97 tff(16056,plain,
% 50.32/32.97 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s8, c_response) | (~node2(s8)) | (~m_processor_v_CMD(c_p0, s8, c_response)))),
% 50.32/32.97 inference(quant_inst,[status(thm)],[])).
% 50.32/32.97 tff(16057,plain,
% 50.32/32.97 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s8, c_response) | (~node2(s8)) | (~m_processor_v_CMD(c_p0, s8, c_response))),
% 50.32/32.97 inference(modus_ponens,[status(thm)],[16056, 16055])).
% 50.32/32.97 tff(16058,plain,
% 50.32/32.97 (~m_processor_v_CMD(c_p0, s8, c_response)),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[16057, 1612, 15085, 16054])).
% 50.32/32.97 tff(16059,plain,
% 50.32/32.97 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | ((~node49(c_p0, s8)) | m_processor_v_CMD(c_p0, s8, c_response))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p0, s8)) | m_processor_v_CMD(c_p0, s8, c_response))),
% 50.32/32.97 inference(rewrite,[status(thm)],[])).
% 50.32/32.97 tff(16060,plain,
% 50.32/32.97 ((m_processor_v_CMD(c_p0, s8, c_response) | (~node49(c_p0, s8))) <=> ((~node49(c_p0, s8)) | m_processor_v_CMD(c_p0, s8, c_response))),
% 50.32/32.97 inference(rewrite,[status(thm)],[])).
% 50.32/32.97 tff(16061,plain,
% 50.32/32.97 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p0, s8, c_response) | (~node49(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | ((~node49(c_p0, s8)) | m_processor_v_CMD(c_p0, s8, c_response)))),
% 50.32/32.97 inference(monotonicity,[status(thm)],[16060])).
% 50.32/32.97 tff(16062,plain,
% 50.32/32.97 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p0, s8, c_response) | (~node49(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p0, s8)) | m_processor_v_CMD(c_p0, s8, c_response))),
% 50.32/32.97 inference(transitivity,[status(thm)],[16061, 16059])).
% 50.32/32.97 tff(16063,plain,
% 50.32/32.97 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p0, s8, c_response) | (~node49(c_p0, s8)))),
% 50.32/32.97 inference(quant_inst,[status(thm)],[])).
% 50.32/32.97 tff(16064,plain,
% 50.32/32.97 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p0, s8)) | m_processor_v_CMD(c_p0, s8, c_response)),
% 50.32/32.97 inference(modus_ponens,[status(thm)],[16063, 16062])).
% 50.32/32.97 tff(16065,plain,
% 50.32/32.97 (~node49(c_p0, s8)),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[16064, 11579, 16058])).
% 50.32/32.97 tff(16066,plain,
% 50.32/32.97 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s8, c_idle)) | (~m_main_v_CMD(s8, c_write_h_resp_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s8, c_idle)) | (~m_main_v_CMD(s8, c_write_h_resp_h_invalid)))),
% 50.32/32.97 inference(rewrite,[status(thm)],[])).
% 50.32/32.97 tff(16067,plain,
% 50.32/32.97 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s8, c_idle)) | (~m_main_v_CMD(s8, c_write_h_resp_h_invalid)))),
% 50.32/32.97 inference(quant_inst,[status(thm)],[])).
% 50.32/32.97 tff(16068,plain,
% 50.32/32.97 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s8, c_idle)) | (~m_main_v_CMD(s8, c_write_h_resp_h_invalid))),
% 50.32/32.97 inference(modus_ponens,[status(thm)],[16067, 16066])).
% 50.32/32.97 tff(16069,plain,
% 50.32/32.97 (~m_main_v_CMD(s8, c_write_h_resp_h_invalid)),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[16068, 7663, 16036])).
% 50.32/32.97 tff(16070,plain,
% 50.32/32.97 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s8, c_write_h_resp_h_invalid) | (~node2(s8)) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s8, c_write_h_resp_h_invalid) | (~node2(s8)) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid)))),
% 50.32/32.97 inference(rewrite,[status(thm)],[])).
% 50.32/32.97 tff(16071,plain,
% 50.32/32.97 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s8, c_write_h_resp_h_invalid) | (~node2(s8)) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid)))),
% 50.32/32.97 inference(quant_inst,[status(thm)],[])).
% 50.32/32.97 tff(16072,plain,
% 50.32/32.97 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s8, c_write_h_resp_h_invalid) | (~node2(s8)) | (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid))),
% 50.32/32.97 inference(modus_ponens,[status(thm)],[16071, 16070])).
% 50.32/32.97 tff(16073,plain,
% 50.32/32.97 (~m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid)),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[16072, 1612, 15085, 16069])).
% 50.32/32.97 tff(16074,plain,
% 50.32/32.97 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | (~node50(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | (~node50(c_p0, s8)))),
% 50.32/32.97 inference(rewrite,[status(thm)],[])).
% 50.32/32.97 tff(16075,plain,
% 50.32/32.97 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | (~node50(c_p0, s8)))),
% 50.32/32.97 inference(quant_inst,[status(thm)],[])).
% 50.32/32.97 tff(16076,plain,
% 50.32/32.97 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p0, s8, c_write_h_resp_h_invalid) | (~node50(c_p0, s8))),
% 50.32/32.97 inference(modus_ponens,[status(thm)],[16075, 16074])).
% 50.32/32.97 tff(16077,plain,
% 50.32/32.97 (~node50(c_p0, s8)),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[16076, 11598, 16073])).
% 50.32/32.97 tff(16078,plain,
% 50.32/32.97 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s8) | node51(c_p0, s8) | node50(c_p0, s8) | node49(c_p0, s8) | node48(c_p0, s8) | node47(c_p0, s8) | node52(c_p0, s8, s9) | (~node53(c_p0, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p0, s8) | node51(c_p0, s8) | node50(c_p0, s8) | node49(c_p0, s8) | node48(c_p0, s8) | node47(c_p0, s8) | node52(c_p0, s8, s9) | (~node53(c_p0, s8, s9)))),
% 50.32/32.97 inference(rewrite,[status(thm)],[])).
% 50.32/32.97 tff(16079,plain,
% 50.32/32.97 ((m_processor_v_abort(c_p0, s8) | node47(c_p0, s8) | node48(c_p0, s8) | node49(c_p0, s8) | node50(c_p0, s8) | node51(c_p0, s8) | node52(c_p0, s8, s9) | (~node53(c_p0, s8, s9))) <=> (m_processor_v_abort(c_p0, s8) | node51(c_p0, s8) | node50(c_p0, s8) | node49(c_p0, s8) | node48(c_p0, s8) | node47(c_p0, s8) | node52(c_p0, s8, s9) | (~node53(c_p0, s8, s9)))),
% 50.32/32.97 inference(rewrite,[status(thm)],[])).
% 50.32/32.97 tff(16080,plain,
% 50.32/32.97 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s8) | node47(c_p0, s8) | node48(c_p0, s8) | node49(c_p0, s8) | node50(c_p0, s8) | node51(c_p0, s8) | node52(c_p0, s8, s9) | (~node53(c_p0, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s8) | node51(c_p0, s8) | node50(c_p0, s8) | node49(c_p0, s8) | node48(c_p0, s8) | node47(c_p0, s8) | node52(c_p0, s8, s9) | (~node53(c_p0, s8, s9))))),
% 50.32/32.97 inference(monotonicity,[status(thm)],[16079])).
% 50.32/32.97 tff(16081,plain,
% 50.32/32.97 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s8) | node47(c_p0, s8) | node48(c_p0, s8) | node49(c_p0, s8) | node50(c_p0, s8) | node51(c_p0, s8) | node52(c_p0, s8, s9) | (~node53(c_p0, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p0, s8) | node51(c_p0, s8) | node50(c_p0, s8) | node49(c_p0, s8) | node48(c_p0, s8) | node47(c_p0, s8) | node52(c_p0, s8, s9) | (~node53(c_p0, s8, s9)))),
% 50.32/32.97 inference(transitivity,[status(thm)],[16080, 16078])).
% 50.32/32.97 tff(16082,plain,
% 50.32/32.97 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s8) | node47(c_p0, s8) | node48(c_p0, s8) | node49(c_p0, s8) | node50(c_p0, s8) | node51(c_p0, s8) | node52(c_p0, s8, s9) | (~node53(c_p0, s8, s9)))),
% 50.32/32.97 inference(quant_inst,[status(thm)],[])).
% 50.32/32.97 tff(16083,plain,
% 50.32/32.97 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p0, s8) | node51(c_p0, s8) | node50(c_p0, s8) | node49(c_p0, s8) | node48(c_p0, s8) | node47(c_p0, s8) | node52(c_p0, s8, s9) | (~node53(c_p0, s8, s9))),
% 50.32/32.97 inference(modus_ponens,[status(thm)],[16082, 16081])).
% 50.32/32.97 tff(16084,plain,
% 50.32/32.97 (m_processor_v_abort(c_p0, s8) | node51(c_p0, s8) | node50(c_p0, s8) | node49(c_p0, s8) | node48(c_p0, s8) | node47(c_p0, s8) | node52(c_p0, s8, s9)),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[16083, 11612, 15142])).
% 50.32/32.97 tff(16085,plain,
% 50.32/32.97 ($false),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[16084, 16077, 16065, 15509, 16050, 16049, 14814, 16048])).
% 50.32/32.97 tff(16086,plain,(m_processor_v_abort(c_p0, s8) | node52(c_p0, s8, s9) | node47(c_p0, s8) | node48(c_p0, s8) | (~m_memory_v_cmd(c_m, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | (~m_processor_v_state(c_p1, s8, c_owned)) | node63(c_p0, s8) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_waiting(c_p1, s9)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.97 tff(16087,plain,
% 50.32/32.97 ($false),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[16086, 15797, 15793, 14814, 6297, 15510, 15789, 13022, 15755, 6288, 6289, 15509, 6290])).
% 50.32/32.97 tff(16088,plain,(m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_abort(c_p0, s8) | (~m_memory_v_cmd(c_m, s8, c_idle)) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_state(c_p1, s9, c_shared) | node52(c_p0, s8, s9) | m_processor_v_waiting(c_p1, s9) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | (~m_processor_v_state(c_p0, s9, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.32/32.97 tff(16089,plain,
% 50.32/32.97 (m_processor_v_CMD(c_p0, s8, c_read_h_shared)),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[16088, 6297, 15510, 13022, 6288, 6289, 15509, 6290, 14814, 14759])).
% 50.32/32.97 tff(16090,plain,
% 50.32/32.97 (~m_processor_v_master(c_p0, s8)),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[15157, 16089, 14814, 14758])).
% 50.32/32.97 tff(16091,plain,
% 50.32/32.97 (~node63(c_p0, s8)),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[15754, 16090])).
% 50.32/32.97 tff(16092,plain,
% 50.32/32.97 (m_processor_v_cmd(c_p0, s8, c_idle)),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[15788, 16090, 16091])).
% 50.32/32.97 tff(16093,plain,
% 50.32/32.97 (~node48(c_p0, s8)),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[15792, 11562, 16090])).
% 50.32/32.97 tff(16094,plain,
% 50.32/32.97 (~node47(c_p0, s8)),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[15796, 12108, 16090])).
% 50.32/32.97 tff(16095,plain,
% 50.32/32.97 ($false),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[16086, 16094, 16093, 14814, 6297, 15510, 16092, 13022, 16091, 6288, 6289, 15509, 6290])).
% 50.32/32.97 tff(16096,plain,(m_processor_v_CMD(c_p1, s8, c_read_h_owned) | m_processor_v_abort(c_p0, s8) | (~m_memory_v_cmd(c_m, s8, c_idle)) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_state(c_p1, s9, c_shared) | node52(c_p0, s8, s9) | m_processor_v_waiting(c_p1, s9) | m_processor_v_waiting(c_p0, s9) | (~m_processor_v_state(c_p0, s9, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.32/32.97 tff(16097,plain,
% 50.32/32.97 (m_processor_v_CMD(c_p1, s8, c_read_h_owned)),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[16096, 15508, 15490, 13022, 6288, 6289, 15338, 6290, 14758, 14759])).
% 50.32/32.97 tff(16098,plain,
% 50.32/32.97 (m_main_v_CMD(s8, c_read_h_owned)),
% 50.32/32.97 inference(unit_resolution,[status(thm)],[6489, 16097])).
% 50.32/32.97 tff(16099,plain,
% 50.32/32.97 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s8, c_idle)) | (~m_main_v_CMD(s8, c_read_h_owned)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned)))) | (~m_main_v_CMD(s8, c_idle)) | (~m_main_v_CMD(s8, c_read_h_owned)))),
% 50.32/32.98 inference(rewrite,[status(thm)],[])).
% 50.32/32.98 tff(16100,plain,
% 50.32/32.98 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s8, c_idle)) | (~m_main_v_CMD(s8, c_read_h_owned)))),
% 50.32/32.98 inference(quant_inst,[status(thm)],[])).
% 50.32/32.98 tff(16101,plain,
% 50.32/32.98 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned)))) | (~m_main_v_CMD(s8, c_idle)) | (~m_main_v_CMD(s8, c_read_h_owned))),
% 50.32/32.98 inference(modus_ponens,[status(thm)],[16100, 16099])).
% 50.32/32.98 tff(16102,plain,
% 50.32/32.98 (~m_main_v_CMD(s8, c_idle)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16101, 1971, 16098])).
% 50.32/32.98 tff(16103,plain,
% 50.32/32.98 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s8, c_read_h_owned)) | (~m_main_v_CMD(s8, c_write_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s8, c_read_h_owned)) | (~m_main_v_CMD(s8, c_write_h_invalid)))),
% 50.32/32.98 inference(rewrite,[status(thm)],[])).
% 50.32/32.98 tff(16104,plain,
% 50.32/32.98 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s8, c_read_h_owned)) | (~m_main_v_CMD(s8, c_write_h_invalid)))),
% 50.32/32.98 inference(quant_inst,[status(thm)],[])).
% 50.32/32.98 tff(16105,plain,
% 50.32/32.98 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s8, c_read_h_owned)) | (~m_main_v_CMD(s8, c_write_h_invalid))),
% 50.32/32.98 inference(modus_ponens,[status(thm)],[16104, 16103])).
% 50.32/32.98 tff(16106,plain,
% 50.32/32.98 (~m_main_v_CMD(s8, c_write_h_invalid)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16105, 12451, 16098])).
% 50.32/32.98 tff(16107,plain,
% 50.32/32.98 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s8, c_read_h_owned)) | (~m_main_v_CMD(s8, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s8, c_read_h_owned)) | (~m_main_v_CMD(s8, c_write_h_resp_h_shared)))),
% 50.32/32.98 inference(rewrite,[status(thm)],[])).
% 50.32/32.98 tff(16108,plain,
% 50.32/32.98 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s8, c_read_h_owned)) | (~m_main_v_CMD(s8, c_write_h_resp_h_shared)))),
% 50.32/32.98 inference(quant_inst,[status(thm)],[])).
% 50.32/32.98 tff(16109,plain,
% 50.32/32.98 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s8, c_read_h_owned)) | (~m_main_v_CMD(s8, c_write_h_resp_h_shared))),
% 50.32/32.98 inference(modus_ponens,[status(thm)],[16108, 16107])).
% 50.32/32.98 tff(16110,plain,
% 50.32/32.98 (~m_main_v_CMD(s8, c_write_h_resp_h_shared)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16109, 7940, 16098])).
% 50.32/32.98 tff(16111,plain,
% 50.32/32.98 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s8, c_read_h_owned)) | (~m_main_v_CMD(s8, c_write_h_resp_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s8, c_read_h_owned)) | (~m_main_v_CMD(s8, c_write_h_resp_h_invalid)))),
% 50.32/32.98 inference(rewrite,[status(thm)],[])).
% 50.32/32.98 tff(16112,plain,
% 50.32/32.98 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s8, c_read_h_owned)) | (~m_main_v_CMD(s8, c_write_h_resp_h_invalid)))),
% 50.32/32.98 inference(quant_inst,[status(thm)],[])).
% 50.32/32.98 tff(16113,plain,
% 50.32/32.98 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s8, c_read_h_owned)) | (~m_main_v_CMD(s8, c_write_h_resp_h_invalid))),
% 50.32/32.98 inference(modus_ponens,[status(thm)],[16112, 16111])).
% 50.32/32.98 tff(16114,plain,
% 50.32/32.98 (~m_main_v_CMD(s8, c_write_h_resp_h_invalid)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16113, 7953, 16098])).
% 50.32/32.98 tff(16115,plain,
% 50.32/32.98 (node60(c_p0, s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[14912, 15508])).
% 50.32/32.98 tff(16116,plain,
% 50.32/32.98 (~m_processor_v_abort(c_p1, s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15835, 16115])).
% 50.32/32.98 tff(16117,plain,
% 50.32/32.98 (~m_main_v_CMD(s8, c_read_h_shared)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[6503, 6497, 16098])).
% 50.32/32.98 tff(16118,plain,
% 50.32/32.98 (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[6511, 16117])).
% 50.32/32.98 tff(16119,plain,
% 50.32/32.98 (~node47(c_p1, s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[6515, 657, 16118])).
% 50.32/32.98 tff(16120,assumption,(~node10(s8)), introduced(assumption)).
% 50.32/32.98 tff(16121,plain,
% 50.32/32.98 (node9(s8) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | (~m_memory_v_cmd(c_m, s8, c_idle))),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15993, 3461, 15798, 16120])).
% 50.32/32.98 tff(16122,plain,
% 50.32/32.98 (~m_memory_v_cmd(c_m, s8, c_idle)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16121, 15847, 15985])).
% 50.32/32.98 tff(16123,plain,
% 50.32/32.98 (node29(c_m, s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15489, 16122])).
% 50.32/32.98 tff(16124,plain,
% 50.32/32.98 (m_memory_v_master(c_m, s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15553, 16123])).
% 50.32/32.98 tff(16125,plain,
% 50.32/32.98 ($false),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15545, 1290, 16124, 15841])).
% 50.32/32.98 tff(16126,plain,(m_processor_v_cmd(c_p1, s8, c_idle) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | node10(s8)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.98 tff(16127,plain,
% 50.32/32.98 (~m_processor_v_cmd(c_p0, s8, c_idle)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16126, 15630, 16120])).
% 50.32/32.98 tff(16128,plain,
% 50.32/32.98 (~node63(c_p0, s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15754, 14772])).
% 50.32/32.98 tff(16129,plain,
% 50.32/32.98 ($false),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15788, 16128, 14772, 15756])).
% 50.32/32.98 tff(16130,plain,(m_processor_v_master(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_idle)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.98 tff(16131,plain,
% 50.32/32.98 ($false),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16130, 15986, 16127])).
% 50.32/32.98 tff(16132,plain,(m_processor_v_cmd(c_p1, s8, c_idle) | node10(s8)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.98 tff(16133,plain,
% 50.32/32.98 (node10(s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16132, 15630])).
% 50.32/32.98 tff(16134,assumption,(~node47(c_p1, s8)), introduced(assumption)).
% 50.32/32.98 tff(16135,plain,
% 50.32/32.98 (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[6538, 15837, 6290, 16134, 6414])).
% 50.32/32.98 tff(16136,plain,
% 50.32/32.98 ($false),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15976, 16135, 16133, 13022, 6288, 6289, 15837, 6414, 6290])).
% 50.32/32.98 tff(16137,plain,(m_processor_v_cmd(c_p1, s8, c_idle) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_abort(c_p1, s8) | m_processor_v_waiting(c_p1, s9) | node47(c_p1, s8)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.98 tff(16138,plain,
% 50.32/32.98 (m_processor_v_cmd(c_p1, s8, c_idle)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16137, 16119, 6288, 6289, 16116, 6290, 13022])).
% 50.32/32.98 tff(16139,assumption,(~m_main_v_CMD(s8, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.32/32.98 tff(16140,plain,
% 50.32/32.98 (~m_processor_v_cmd(c_p0, s8, c_idle)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16035, 15510, 16016, 15999])).
% 50.32/32.98 tff(16141,plain,
% 50.32/32.98 (m_processor_v_master(c_p0, s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16130, 16140])).
% 50.32/32.98 tff(16142,assumption,(~m_main_v_CMD(s8, c_write_h_invalid)), introduced(assumption)).
% 50.32/32.98 tff(16143,assumption,(~m_main_v_CMD(s8, c_write_h_resp_h_invalid)), introduced(assumption)).
% 50.32/32.98 tff(16144,assumption,(~m_processor_v_snoop(c_p0, s8, c_shared)), introduced(assumption)).
% 50.32/32.98 tff(16145,plain,
% 50.32/32.98 (~node65(c_p0, s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15743, 4107, 16144])).
% 50.32/32.98 tff(16146,plain,
% 50.32/32.98 (~m_processor_v_state(c_p0, s8, c_invalid)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[14427, 137, 14422])).
% 50.32/32.98 tff(16147,plain,
% 50.32/32.98 (~node62(c_p0, s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15535, 1633, 16146])).
% 50.32/32.98 tff(16148,plain,
% 50.32/32.98 (m_processor_v_master(c_p0, s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15782, 16147, 15529, 16145, 15756])).
% 50.32/32.98 tff(16149,plain,
% 50.32/32.98 (~node17(s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15541, 1275, 16148])).
% 50.32/32.98 tff(16150,plain,
% 50.32/32.98 (~m_memory_v_master(c_m, s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15545, 1290, 16149])).
% 50.32/32.98 tff(16151,plain,
% 50.32/32.98 (~node29(c_m, s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15551, 1305, 16150])).
% 50.32/32.98 tff(16152,plain,
% 50.32/32.98 (m_memory_v_cmd(c_m, s8, c_idle)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15487, 1320, 16151])).
% 50.32/32.98 tff(16153,plain,
% 50.32/32.98 (~node16(s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15559, 1530, 16148])).
% 50.32/32.98 tff(16154,plain,
% 50.32/32.98 (~m_processor_v_master(c_p2, s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15567, 1545, 16153])).
% 50.32/32.98 tff(16155,plain,
% 50.32/32.98 (~node62(c_p2, s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15574, 1493, 16154])).
% 50.32/32.98 tff(16156,plain,
% 50.32/32.98 (~node63(c_p2, s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15578, 1469, 16154])).
% 50.32/32.98 tff(16157,plain,
% 50.32/32.98 (~node64(c_p2, s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15582, 1482, 16154])).
% 50.32/32.98 tff(16158,plain,
% 50.32/32.98 (~node65(c_p2, s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15590, 1457, 16154])).
% 50.32/32.98 tff(16159,plain,
% 50.32/32.98 (~node66(c_p2, s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15586, 1446, 16154])).
% 50.32/32.98 tff(16160,plain,
% 50.32/32.98 (m_processor_v_cmd(c_p2, s8, c_idle)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15598, 1508, 16159, 16158, 16157, 16156, 16155])).
% 50.32/32.98 tff(16161,plain,
% 50.32/32.98 (node8(s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16017, 16160, 16152])).
% 50.32/32.98 tff(16162,plain,
% 50.32/32.98 ((~node8(s8)) | (~m_processor_v_cmd(c_p0, s8, c_write_h_invalid))),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15693, 1669, 16142])).
% 50.32/32.98 tff(16163,plain,
% 50.32/32.98 (~m_processor_v_cmd(c_p0, s8, c_write_h_invalid)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16162, 16161])).
% 50.32/32.98 tff(16164,plain,
% 50.32/32.98 ((~node8(s8)) | (~m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_invalid))),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15666, 1669, 16143])).
% 50.32/32.98 tff(16165,plain,
% 50.32/32.98 (~m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_invalid)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16164, 16161])).
% 50.32/32.98 tff(16166,plain,
% 50.32/32.98 (node63(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_invalid) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8) | (~m_processor_v_snoop(c_p0, s8, c_owned))),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15674, 7172, 14422])).
% 50.32/32.98 tff(16167,plain,
% 50.32/32.98 (~m_processor_v_snoop(c_p0, s8, c_owned)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16166, 16165, 15529, 16147, 16148])).
% 50.32/32.98 tff(16168,assumption,(~m_processor_v_snoop(c_p0, s8, c_owned)), introduced(assumption)).
% 50.32/32.98 tff(16169,plain,
% 50.32/32.98 (~node64(c_p0, s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15679, 4082, 16168])).
% 50.32/32.98 tff(16170,plain,
% 50.32/32.98 (node64(c_p0, s8) | node65(c_p0, s8) | node66(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_idle)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15779, 1508, 15529, 16147])).
% 50.32/32.98 tff(16171,plain,
% 50.32/32.98 (node66(c_p0, s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16170, 16169, 16145, 15756])).
% 50.32/32.98 tff(16172,plain,
% 50.32/32.98 (m_processor_v_snoop(c_p0, s8, c_invalid) | m_processor_v_snoop(c_p0, s8, c_owned)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15730, 7213, 16144])).
% 50.32/32.98 tff(16173,plain,
% 50.32/32.98 (m_processor_v_snoop(c_p0, s8, c_invalid)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16172, 16168])).
% 50.32/32.98 tff(16174,assumption,(~m_processor_v_cmd(c_p0, s8, c_write_h_invalid)), introduced(assumption)).
% 50.32/32.98 tff(16175,plain,
% 50.32/32.98 (node64(c_p0, s8) | node63(c_p0, s8) | m_processor_v_cmd(c_p0, s8, c_write_h_invalid) | node65(c_p0, s8) | (~m_processor_v_snoop(c_p0, s8, c_invalid)) | (~m_processor_v_master(c_p0, s8)) | node62(c_p0, s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15738, 7232, 14422])).
% 50.32/32.98 tff(16176,plain,
% 50.32/32.98 (~m_processor_v_master(c_p0, s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16175, 16169, 15529, 16145, 16174, 16173, 16147])).
% 50.32/32.98 tff(16177,plain,
% 50.32/32.98 ($false),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15766, 1446, 16176, 16171])).
% 50.32/32.98 tff(16178,plain,(m_processor_v_snoop(c_p0, s8, c_owned) | m_processor_v_cmd(c_p0, s8, c_idle) | m_processor_v_cmd(c_p0, s8, c_write_h_invalid) | (~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_snoop(c_p0, s8, c_shared)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.98 tff(16179,plain,
% 50.32/32.98 ($false),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16178, 16167, 16163, 15756, 14422, 16144])).
% 50.32/32.98 tff(16180,plain,((~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_cmd(c_p0, s8, c_idle) | m_processor_v_snoop(c_p0, s8, c_shared) | m_main_v_CMD(s8, c_write_h_invalid) | m_main_v_CMD(s8, c_write_h_resp_h_invalid) | (~m_processor_v_cmd(c_p1, s8, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.32/32.98 tff(16181,plain,
% 50.32/32.98 (m_processor_v_snoop(c_p0, s8, c_shared)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16180, 16140, 14422, 16143, 16016, 16142])).
% 50.32/32.98 tff(16182,assumption,(~m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.32/32.98 tff(16183,assumption,(m_processor_v_snoop(c_p0, s8, c_shared)), introduced(assumption)).
% 50.32/32.98 tff(16184,plain,
% 50.32/32.98 (node64(c_p0, s8) | node63(c_p0, s8) | (~m_processor_v_snoop(c_p0, s8, c_shared)) | (~m_processor_v_master(c_p0, s8)) | m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_shared)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15722, 7256, 14422, 15538])).
% 50.32/32.98 tff(16185,plain,
% 50.32/32.98 (node64(c_p0, s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16184, 16183, 15529, 15530, 16182])).
% 50.32/32.98 tff(16186,assumption,(m_processor_v_snoop(c_p0, s8, c_owned)), introduced(assumption)).
% 50.32/32.98 tff(16187,plain,
% 50.32/32.98 (((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p0, s8, c_owned)) | (~m_processor_v_snoop(c_p0, s8, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p0, s8, c_owned)) | (~m_processor_v_snoop(c_p0, s8, c_shared)))),
% 50.32/32.98 inference(rewrite,[status(thm)],[])).
% 50.32/32.98 tff(16188,plain,
% 50.32/32.98 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p0, s8, c_owned)) | (~m_processor_v_snoop(c_p0, s8, c_shared)))),
% 50.32/32.98 inference(quant_inst,[status(thm)],[])).
% 50.32/32.98 tff(16189,plain,
% 50.32/32.98 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p0, s8, c_owned)) | (~m_processor_v_snoop(c_p0, s8, c_shared))),
% 50.32/32.98 inference(modus_ponens,[status(thm)],[16188, 16187])).
% 50.32/32.98 tff(16190,plain,
% 50.32/32.98 ($false),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16189, 8775, 16186, 16183])).
% 50.32/32.98 tff(16191,plain,((~m_processor_v_snoop(c_p0, s8, c_owned)) | (~m_processor_v_snoop(c_p0, s8, c_shared))), inference(lemma,lemma(discharge,[]))).
% 50.32/32.98 tff(16192,plain,
% 50.32/32.98 (~m_processor_v_snoop(c_p0, s8, c_owned)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16191, 16183])).
% 50.32/32.98 tff(16193,plain,
% 50.32/32.98 ($false),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15679, 4082, 16192, 16185])).
% 50.32/32.98 tff(16194,plain,((~m_processor_v_snoop(c_p0, s8, c_shared)) | (~m_processor_v_master(c_p0, s8)) | m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_shared) | (~m_processor_v_state(c_p0, s8, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.32/32.98 tff(16195,plain,
% 50.32/32.98 (m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_shared)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16194, 16181, 14422, 16141])).
% 50.32/32.98 tff(16196,assumption,(m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.32/32.98 tff(16197,assumption,(node8(s8)), introduced(assumption)).
% 50.32/32.98 tff(16198,plain,
% 50.32/32.98 ($false),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15715, 1669, 16197, 16139, 16196])).
% 50.32/32.98 tff(16199,plain,((~m_processor_v_cmd(c_p0, s8, c_write_h_resp_h_shared)) | (~node8(s8)) | m_main_v_CMD(s8, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.98 tff(16200,plain,
% 50.32/32.98 (~node8(s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16199, 16195, 16139])).
% 50.32/32.98 tff(16201,plain,
% 50.32/32.98 (~node16(s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15561, 16141])).
% 50.32/32.98 tff(16202,plain,
% 50.32/32.98 (~m_processor_v_master(c_p2, s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15569, 16201])).
% 50.32/32.98 tff(16203,plain,
% 50.32/32.98 (m_processor_v_cmd(c_p2, s8, c_idle)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15601, 16202])).
% 50.32/32.98 tff(16204,plain,
% 50.32/32.98 ($false),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16017, 16203, 16200, 15510])).
% 50.32/32.98 tff(16205,plain,((~m_memory_v_cmd(c_m, s8, c_idle)) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | m_main_v_CMD(s8, c_write_h_resp_h_shared) | (~m_processor_v_state(c_p0, s8, c_owned)) | m_main_v_CMD(s8, c_write_h_resp_h_invalid) | m_main_v_CMD(s8, c_write_h_invalid) | m_main_v_CMD(s8, c_idle)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.98 tff(16206,plain,
% 50.32/32.98 (~m_processor_v_state(c_p0, s8, c_owned)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16205, 16138, 15490, 16114, 16110, 16106, 16102])).
% 50.32/32.98 tff(16207,plain,
% 50.32/32.98 (m_processor_v_CMD(c_p0, s7, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)) | m_processor_v_state(c_p0, s8, c_owned)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[15325, 1864, 15200])).
% 50.32/32.98 tff(16208,plain,
% 50.32/32.98 (m_processor_v_CMD(c_p0, s7, c_read_h_shared)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16207, 16206, 15313])).
% 50.32/32.98 tff(16209,assumption,(m_processor_v_CMD(c_p0, s7, c_read_h_shared)), introduced(assumption)).
% 50.32/32.98 tff(16210,plain,
% 50.32/32.98 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s7, c_read_h_shared) | (~node2(s7)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s7, c_read_h_shared) | (~node2(s7)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)))),
% 50.32/32.98 inference(rewrite,[status(thm)],[])).
% 50.32/32.98 tff(16211,plain,
% 50.32/32.98 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s7, c_read_h_shared) | (~node2(s7)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)))),
% 50.32/32.98 inference(quant_inst,[status(thm)],[])).
% 50.32/32.98 tff(16212,plain,
% 50.32/32.98 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s7, c_read_h_shared) | (~node2(s7)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared))),
% 50.32/32.98 inference(modus_ponens,[status(thm)],[16211, 16210])).
% 50.32/32.98 tff(16213,plain,
% 50.32/32.98 ($false),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16212, 1612, 14572, 13194, 16209])).
% 50.32/32.98 tff(16214,plain,((~m_processor_v_CMD(c_p0, s7, c_read_h_shared)) | m_main_v_CMD(s7, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.98 tff(16215,plain,
% 50.32/32.98 (m_main_v_CMD(s7, c_read_h_shared)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16214, 16208])).
% 50.32/32.98 tff(16216,plain,
% 50.32/32.98 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s7, c_read_h_owned)) | (~m_main_v_CMD(s7, c_read_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | (~m_main_v_CMD(s7, c_read_h_owned)) | (~m_main_v_CMD(s7, c_read_h_shared)))),
% 50.32/32.98 inference(rewrite,[status(thm)],[])).
% 50.32/32.98 tff(16217,plain,
% 50.32/32.98 (((~m_main_v_CMD(s7, c_read_h_shared)) | (~m_main_v_CMD(s7, c_read_h_owned))) <=> ((~m_main_v_CMD(s7, c_read_h_owned)) | (~m_main_v_CMD(s7, c_read_h_shared)))),
% 50.32/32.98 inference(rewrite,[status(thm)],[])).
% 50.32/32.98 tff(16218,plain,
% 50.32/32.98 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s7, c_read_h_shared)) | (~m_main_v_CMD(s7, c_read_h_owned)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s7, c_read_h_owned)) | (~m_main_v_CMD(s7, c_read_h_shared))))),
% 50.32/32.98 inference(monotonicity,[status(thm)],[16217])).
% 50.32/32.98 tff(16219,plain,
% 50.32/32.98 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s7, c_read_h_shared)) | (~m_main_v_CMD(s7, c_read_h_owned)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | (~m_main_v_CMD(s7, c_read_h_owned)) | (~m_main_v_CMD(s7, c_read_h_shared)))),
% 50.32/32.98 inference(transitivity,[status(thm)],[16218, 16216])).
% 50.32/32.98 tff(16220,plain,
% 50.32/32.98 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s7, c_read_h_shared)) | (~m_main_v_CMD(s7, c_read_h_owned)))),
% 50.32/32.98 inference(quant_inst,[status(thm)],[])).
% 50.32/32.98 tff(16221,plain,
% 50.32/32.98 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | (~m_main_v_CMD(s7, c_read_h_owned)) | (~m_main_v_CMD(s7, c_read_h_shared))),
% 50.32/32.98 inference(modus_ponens,[status(thm)],[16220, 16219])).
% 50.32/32.98 tff(16222,plain,
% 50.32/32.98 ($false),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16221, 6497, 15312, 16215])).
% 50.32/32.98 tff(16223,plain,((~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_waiting(c_p1, s9) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_waiting(c_p0, s9) | (~m_processor_v_state(c_p0, s9, c_owned)) | m_processor_v_state(c_p0, s7, c_owned) | (~m_processor_v_state(c_p1, s7, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.32/32.98 tff(16224,plain,
% 50.32/32.98 ($false),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16223, 14757, 14753, 14405, 14752, 14751, 14750, 14746, 14406, 13435])).
% 50.32/32.98 tff(16225,plain,((~m_processor_v_state(c_p1, s7, c_owned)) | node67(s3) | node67(s4) | m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p1, s7, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.98 tff(16226,plain,
% 50.32/32.98 (~m_processor_v_state(c_p1, s7, c_owned)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16225, 13512, 13509, 5, 13405, 53, 13102])).
% 50.32/32.98 tff(16227,plain,
% 50.32/32.98 (m_processor_v_writable(c_p0, s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[12500, 5689])).
% 50.32/32.98 tff(16228,plain,
% 50.32/32.98 (node56(c_p0, s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[12508, 16227])).
% 50.32/32.98 tff(16229,plain,
% 50.32/32.98 (m_processor_v_state(c_p0, s8, c_owned)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[14413, 16228])).
% 50.32/32.98 tff(16230,plain,
% 50.32/32.98 (m_processor_v_writable(c_p1, s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[5697, 5689])).
% 50.32/32.98 tff(16231,plain,
% 50.32/32.98 (node56(c_p1, s8)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[5686, 16230])).
% 50.32/32.98 tff(16232,plain,
% 50.32/32.98 (m_processor_v_state(c_p1, s8, c_owned)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[5678, 16231])).
% 50.32/32.98 tff(16233,plain,
% 50.32/32.98 (m_processor_v_master(c_p1, s7)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[13152, 16232, 4])).
% 50.32/32.98 tff(16234,plain,
% 50.32/32.98 (~m_processor_v_master(c_p0, s7)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[13229, 794, 16233])).
% 50.32/32.98 tff(16235,plain,
% 50.32/32.98 (m_processor_v_state(c_p0, s7, c_owned)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[14544, 16234, 16229])).
% 50.32/32.98 tff(16236,plain,
% 50.32/32.98 (m_processor_v_CMD(c_p0, s6, c_read_h_owned)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[2539, 16235, 5])).
% 50.32/32.98 tff(16237,plain,
% 50.32/32.98 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s6, c_read_h_owned) | (~node2(s6)) | (~m_processor_v_CMD(c_p0, s6, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s6, c_read_h_owned) | (~node2(s6)) | (~m_processor_v_CMD(c_p0, s6, c_read_h_owned)))),
% 50.32/32.98 inference(rewrite,[status(thm)],[])).
% 50.32/32.98 tff(16238,plain,
% 50.32/32.98 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s6, c_read_h_owned) | (~node2(s6)) | (~m_processor_v_CMD(c_p0, s6, c_read_h_owned)))),
% 50.32/32.98 inference(quant_inst,[status(thm)],[])).
% 50.32/32.98 tff(16239,plain,
% 50.32/32.98 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s6, c_read_h_owned) | (~node2(s6)) | (~m_processor_v_CMD(c_p0, s6, c_read_h_owned))),
% 50.32/32.98 inference(modus_ponens,[status(thm)],[16238, 16237])).
% 50.32/32.98 tff(16240,plain,
% 50.32/32.98 ($false),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16239, 1612, 14355, 14396, 14208])).
% 50.32/32.98 tff(16241,plain,((~m_processor_v_CMD(c_p0, s6, c_read_h_owned)) | m_main_v_CMD(s6, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.98 tff(16242,plain,
% 50.32/32.98 (m_main_v_CMD(s6, c_read_h_owned)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16241, 16236])).
% 50.32/32.98 tff(16243,assumption,(~node3(s6)), introduced(assumption)).
% 50.32/32.98 tff(16244,plain,
% 50.32/32.98 ((~![X: $i] : node3(X)) | node3(s6)),
% 50.32/32.98 inference(quant_inst,[status(thm)],[])).
% 50.32/32.98 tff(16245,plain,
% 50.32/32.98 ($false),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16244, 1247, 16243])).
% 50.32/32.98 tff(16246,plain,(node3(s6)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.98 tff(16247,plain,
% 50.32/32.98 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s6, c_read_h_owned) | (~m_main_v_CMD(s6, c_read_h_owned)) | (~node3(s6)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | (~m_main_v_CMD(s6, c_read_h_owned)) | (~node3(s6)))),
% 50.32/32.98 inference(rewrite,[status(thm)],[])).
% 50.32/32.98 tff(16248,plain,
% 50.32/32.98 (((~m_main_v_CMD(s6, c_read_h_owned)) | (~node3(s6)) | m_processor_v_CMD(c_p1, s6, c_read_h_owned)) <=> (m_processor_v_CMD(c_p1, s6, c_read_h_owned) | (~m_main_v_CMD(s6, c_read_h_owned)) | (~node3(s6)))),
% 50.32/32.98 inference(rewrite,[status(thm)],[])).
% 50.32/32.98 tff(16249,plain,
% 50.32/32.98 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s6, c_read_h_owned)) | (~node3(s6)) | m_processor_v_CMD(c_p1, s6, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s6, c_read_h_owned) | (~m_main_v_CMD(s6, c_read_h_owned)) | (~node3(s6))))),
% 50.32/32.98 inference(monotonicity,[status(thm)],[16248])).
% 50.32/32.98 tff(16250,plain,
% 50.32/32.98 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s6, c_read_h_owned)) | (~node3(s6)) | m_processor_v_CMD(c_p1, s6, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | (~m_main_v_CMD(s6, c_read_h_owned)) | (~node3(s6)))),
% 50.32/32.98 inference(transitivity,[status(thm)],[16249, 16247])).
% 50.32/32.98 tff(16251,plain,
% 50.32/32.98 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s6, c_read_h_owned)) | (~node3(s6)) | m_processor_v_CMD(c_p1, s6, c_read_h_owned))),
% 50.32/32.98 inference(quant_inst,[status(thm)],[])).
% 50.32/32.98 tff(16252,plain,
% 50.32/32.98 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | (~m_main_v_CMD(s6, c_read_h_owned)) | (~node3(s6))),
% 50.32/32.98 inference(modus_ponens,[status(thm)],[16251, 16250])).
% 50.32/32.98 tff(16253,plain,
% 50.32/32.98 ($false),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16252, 1945, 16246, 14386, 13522])).
% 50.32/32.98 tff(16254,plain,(m_processor_v_CMD(c_p1, s6, c_read_h_owned) | (~m_main_v_CMD(s6, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 50.32/32.98 tff(16255,plain,
% 50.32/32.98 (m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16254, 16242])).
% 50.32/32.98 tff(16256,plain,
% 50.32/32.98 (~m_processor_v_state(c_p0, s8, c_invalid)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[14429, 16229])).
% 50.32/32.98 tff(16257,plain,
% 50.32/32.98 (~m_processor_v_state(c_p0, s7, c_invalid)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[14541, 16234, 16256])).
% 50.32/32.98 tff(16258,plain,
% 50.32/32.98 (~m_processor_v_state(c_p0, s7, c_shared)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[14501, 16234, 16229])).
% 50.32/32.98 tff(16259,plain,
% 50.32/32.98 (m_processor_v_state(c_p0, s7, c_owned)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[2473, 2326, 2358])).
% 50.32/32.98 tff(16260,plain,
% 50.32/32.98 (m_processor_v_CMD(c_p0, s6, c_read_h_owned)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[2539, 5, 16259])).
% 50.32/32.98 tff(16261,plain,
% 50.32/32.98 (~node59(c_p0, s6)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[14401, 16260])).
% 50.32/32.98 tff(16262,plain,
% 50.32/32.98 (~m_processor_v_REPLY_h_WAITING(c_p0, s6)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[14382, 14374, 14373])).
% 50.32/32.98 tff(16263,plain,
% 50.32/32.98 (~m_main_v_REPLY_h_WAITING(s6)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[14192, 16262])).
% 50.32/32.98 tff(16264,plain,
% 50.32/32.98 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | (m_main_v_REPLY_h_WAITING(s6) | (~m_processor_v_REPLY_h_WAITING(c_p1, s6)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | m_main_v_REPLY_h_WAITING(s6) | (~m_processor_v_REPLY_h_WAITING(c_p1, s6)))),
% 50.32/32.98 inference(rewrite,[status(thm)],[])).
% 50.32/32.98 tff(16265,plain,
% 50.32/32.98 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | (m_main_v_REPLY_h_WAITING(s6) | (~m_processor_v_REPLY_h_WAITING(c_p1, s6)))),
% 50.32/32.98 inference(quant_inst,[status(thm)],[])).
% 50.32/32.98 tff(16266,plain,
% 50.32/32.98 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | m_main_v_REPLY_h_WAITING(s6) | (~m_processor_v_REPLY_h_WAITING(c_p1, s6))),
% 50.32/32.98 inference(modus_ponens,[status(thm)],[16265, 16264])).
% 50.32/32.98 tff(16267,plain,
% 50.32/32.98 (~m_processor_v_REPLY_h_WAITING(c_p1, s6)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16266, 7866, 16263])).
% 50.32/32.98 tff(16268,assumption,(m_processor_v_REPLY_h_STALL(c_p0, s6)), introduced(assumption)).
% 50.32/32.98 tff(16269,plain,
% 50.32/32.98 (((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p0, s6)) | (~node60(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p0, s6)) | (~node60(c_p0, s6)))),
% 50.32/32.98 inference(rewrite,[status(thm)],[])).
% 50.32/32.98 tff(16270,plain,
% 50.32/32.98 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p0, s6)) | (~node60(c_p0, s6)))),
% 50.32/32.98 inference(quant_inst,[status(thm)],[])).
% 50.32/32.98 tff(16271,plain,
% 50.32/32.98 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p0, s6)) | (~node60(c_p0, s6))),
% 50.32/32.98 inference(modus_ponens,[status(thm)],[16270, 16269])).
% 50.32/32.98 tff(16272,plain,
% 50.32/32.98 ($false),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16271, 1363, 14374, 16268])).
% 50.32/32.98 tff(16273,plain,((~m_processor_v_REPLY_h_STALL(c_p0, s6)) | (~node60(c_p0, s6))), inference(lemma,lemma(discharge,[]))).
% 50.32/32.98 tff(16274,plain,
% 50.32/32.98 (~m_processor_v_REPLY_h_STALL(c_p0, s6)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16273, 14374])).
% 50.32/32.98 tff(16275,assumption,(m_main_v_REPLY_h_STALL(s6)), introduced(assumption)).
% 50.32/32.98 tff(16276,assumption,(~m_processor_v_REPLY_h_STALL(c_p0, s6)), introduced(assumption)).
% 50.32/32.98 tff(16277,plain,
% 50.32/32.98 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | ((~m_main_v_REPLY_h_STALL(s6)) | m_processor_v_REPLY_h_STALL(c_p0, s6))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | (~m_main_v_REPLY_h_STALL(s6)) | m_processor_v_REPLY_h_STALL(c_p0, s6))),
% 50.32/32.98 inference(rewrite,[status(thm)],[])).
% 50.32/32.98 tff(16278,plain,
% 50.32/32.98 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | ((~m_main_v_REPLY_h_STALL(s6)) | m_processor_v_REPLY_h_STALL(c_p0, s6))),
% 50.32/32.98 inference(quant_inst,[status(thm)],[])).
% 50.32/32.98 tff(16279,plain,
% 50.32/32.98 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p0, X))) | (~m_main_v_REPLY_h_STALL(s6)) | m_processor_v_REPLY_h_STALL(c_p0, s6)),
% 50.32/32.98 inference(modus_ponens,[status(thm)],[16278, 16277])).
% 50.32/32.98 tff(16280,plain,
% 50.32/32.98 ($false),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16279, 1381, 16276, 16275])).
% 50.32/32.98 tff(16281,plain,((~m_main_v_REPLY_h_STALL(s6)) | m_processor_v_REPLY_h_STALL(c_p0, s6)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.98 tff(16282,plain,
% 50.32/32.98 (~m_main_v_REPLY_h_STALL(s6)),
% 50.32/32.98 inference(unit_resolution,[status(thm)],[16281, 16274])).
% 50.32/32.98 tff(16283,assumption,(m_processor_v_REPLY_h_STALL(c_p1, s6)), introduced(assumption)).
% 50.32/32.98 tff(16284,assumption,(~m_main_v_REPLY_h_STALL(s6)), introduced(assumption)).
% 50.32/32.98 tff(16285,plain,
% 50.32/32.98 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | (m_main_v_REPLY_h_STALL(s6) | (~m_processor_v_REPLY_h_STALL(c_p1, s6)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | m_main_v_REPLY_h_STALL(s6) | (~m_processor_v_REPLY_h_STALL(c_p1, s6)))),
% 50.32/32.98 inference(rewrite,[status(thm)],[])).
% 50.32/32.98 tff(16286,plain,
% 50.32/32.98 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | (m_main_v_REPLY_h_STALL(s6) | (~m_processor_v_REPLY_h_STALL(c_p1, s6)))),
% 50.32/32.98 inference(quant_inst,[status(thm)],[])).
% 50.32/32.99 tff(16287,plain,
% 50.32/32.99 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | m_main_v_REPLY_h_STALL(s6) | (~m_processor_v_REPLY_h_STALL(c_p1, s6))),
% 50.32/32.99 inference(modus_ponens,[status(thm)],[16286, 16285])).
% 50.32/32.99 tff(16288,plain,
% 50.32/32.99 ($false),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[16287, 1399, 16284, 16283])).
% 50.32/32.99 tff(16289,plain,((~m_processor_v_REPLY_h_STALL(c_p1, s6)) | m_main_v_REPLY_h_STALL(s6)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.99 tff(16290,plain,
% 50.32/32.99 (~m_processor_v_REPLY_h_STALL(c_p1, s6)),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[16289, 16282])).
% 50.32/32.99 tff(16291,assumption,(~node61(c_p1, s6)), introduced(assumption)).
% 50.32/32.99 tff(16292,assumption,(~m_processor_v_REPLY_h_STALL(c_p1, s6)), introduced(assumption)).
% 50.32/32.99 tff(16293,plain,
% 50.32/32.99 (((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p1, s6)) | m_processor_v_REPLY_h_STALL(c_p1, s6) | node61(c_p1, s6))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p1, s6)) | m_processor_v_REPLY_h_STALL(c_p1, s6) | node61(c_p1, s6))),
% 50.32/32.99 inference(rewrite,[status(thm)],[])).
% 50.32/32.99 tff(16294,plain,
% 50.32/32.99 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p1, s6)) | m_processor_v_REPLY_h_STALL(c_p1, s6) | node61(c_p1, s6))),
% 50.32/32.99 inference(quant_inst,[status(thm)],[])).
% 50.32/32.99 tff(16295,plain,
% 50.32/32.99 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p1, s6)) | m_processor_v_REPLY_h_STALL(c_p1, s6) | node61(c_p1, s6)),
% 50.32/32.99 inference(modus_ponens,[status(thm)],[16294, 16293])).
% 50.32/32.99 tff(16296,plain,
% 50.32/32.99 ($false),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[16295, 1417, 13470, 16292, 16291])).
% 50.32/32.99 tff(16297,plain,(node61(c_p1, s6) | (~m_processor_v_abort(c_p1, s6)) | m_processor_v_REPLY_h_STALL(c_p1, s6)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.99 tff(16298,plain,
% 50.32/32.99 (node61(c_p1, s6)),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[16297, 16290, 13470])).
% 50.32/32.99 tff(16299,plain,
% 50.32/32.99 (((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p1, s6) | (~node61(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p1, s6) | (~node61(c_p1, s6)))),
% 50.32/32.99 inference(rewrite,[status(thm)],[])).
% 50.32/32.99 tff(16300,plain,
% 50.32/32.99 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p1, s6) | (~node61(c_p1, s6)))),
% 50.32/32.99 inference(quant_inst,[status(thm)],[])).
% 50.32/32.99 tff(16301,plain,
% 50.32/32.99 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p1, s6) | (~node61(c_p1, s6))),
% 50.32/32.99 inference(modus_ponens,[status(thm)],[16300, 16299])).
% 50.32/32.99 tff(16302,plain,
% 50.32/32.99 ($false),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[16301, 1891, 16298, 16267])).
% 50.32/32.99 tff(16303,plain,((~node60(c_p0, s6)) | (~m_processor_v_abort(c_p1, s6)) | node59(c_p0, s6)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.99 tff(16304,plain,
% 50.32/32.99 (~node60(c_p0, s6)),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[16303, 16261, 13470])).
% 50.32/32.99 tff(16305,plain,
% 50.32/32.99 (m_processor_v_abort(c_p0, s6)),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[14205, 16304])).
% 50.32/32.99 tff(16306,plain,
% 50.32/32.99 (node32(c_p0, s6, s7)),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[2356, 16305])).
% 50.32/32.99 tff(16307,plain,
% 50.32/32.99 (~m_processor_v_state(c_p0, s6, c_shared)),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[2335, 16306, 2326])).
% 50.32/32.99 tff(16308,plain,
% 50.32/32.99 (~m_processor_v_state(c_p0, s6, c_invalid)),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[14196, 16306, 2358])).
% 50.32/32.99 tff(16309,plain,
% 50.32/32.99 ($false),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[819, 16308, 16307, 5])).
% 50.32/32.99 tff(16310,plain,(m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_state(c_p0, s7, c_invalid) | m_processor_v_state(c_p0, s7, c_shared) | (~m_processor_v_abort(c_p1, s6))), inference(lemma,lemma(discharge,[]))).
% 50.32/32.99 tff(16311,plain,
% 50.32/32.99 (~m_processor_v_abort(c_p1, s6)),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[16310, 16258, 16257, 5])).
% 50.32/32.99 tff(16312,plain,
% 50.32/32.99 (m_processor_v_master(c_p0, s6)),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[2437, 16235, 5])).
% 50.32/32.99 tff(16313,assumption,(m_processor_v_master(c_p1, s6)), introduced(assumption)).
% 50.32/32.99 tff(16314,plain,
% 50.32/32.99 (((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | ((~m_processor_v_master(c_p0, s6)) | (~m_processor_v_master(c_p1, s6)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | (~m_processor_v_master(c_p0, s6)) | (~m_processor_v_master(c_p1, s6)))),
% 50.32/32.99 inference(rewrite,[status(thm)],[])).
% 50.32/32.99 tff(16315,plain,
% 50.32/32.99 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | ((~m_processor_v_master(c_p0, s6)) | (~m_processor_v_master(c_p1, s6)))),
% 50.32/32.99 inference(quant_inst,[status(thm)],[])).
% 50.32/32.99 tff(16316,plain,
% 50.32/32.99 ((~![X: $i] : ((~m_processor_v_master(c_p0, X)) | (~m_processor_v_master(c_p1, X)))) | (~m_processor_v_master(c_p0, s6)) | (~m_processor_v_master(c_p1, s6))),
% 50.32/32.99 inference(modus_ponens,[status(thm)],[16315, 16314])).
% 50.32/32.99 tff(16317,plain,
% 50.32/32.99 ($false),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[16316, 794, 16313, 2441])).
% 50.32/32.99 tff(16318,plain,((~m_processor_v_master(c_p0, s6)) | (~m_processor_v_master(c_p1, s6))), inference(lemma,lemma(discharge,[]))).
% 50.32/32.99 tff(16319,plain,
% 50.32/32.99 (~m_processor_v_master(c_p1, s6)),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[16318, 16312])).
% 50.32/32.99 tff(16320,plain,
% 50.32/32.99 (m_processor_v_state(c_p1, s6, c_shared)),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[13501, 13102, 13405, 4])).
% 50.32/32.99 tff(16321,plain,
% 50.32/32.99 ($false),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[13562, 16320, 13102, 13554, 13405, 13406])).
% 50.32/32.99 tff(16322,plain,(m_processor_v_state(c_p1, s7, c_invalid) | node35(c_p1, s6) | m_processor_v_master(c_p1, s6) | m_processor_v_abort(c_p1, s6) | m_processor_v_state(c_p1, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.99 tff(16323,plain,
% 50.32/32.99 (node35(c_p1, s6)),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[16322, 16319, 13102, 16311, 4])).
% 50.32/32.99 tff(16324,assumption,(node35(c_p1, s6)), introduced(assumption)).
% 50.32/32.99 tff(16325,plain,
% 50.32/32.99 ($false),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[13573, 316, 13570, 16324])).
% 50.32/32.99 tff(16326,plain,((~node35(c_p1, s6)) | (~m_processor_v_CMD(c_p1, s6, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 50.32/32.99 tff(16327,plain,
% 50.32/32.99 ($false),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[16326, 16323, 16255])).
% 50.32/32.99 tff(16328,plain,((~node67(s8)) | m_processor_v_state(c_p1, s7, c_invalid) | m_processor_v_state(c_p1, s7, c_owned) | m_processor_v_state(c_p0, s6, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.32/32.99 tff(16329,plain,
% 50.32/32.99 (~node67(s8)),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[16328, 16226, 5, 13102])).
% 50.32/32.99 tff(16330,plain,
% 50.32/32.99 (node67(s9)),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[6251, 16329, 13512, 13509, 104, 52, 6553])).
% 50.32/32.99 tff(16331,plain,
% 50.32/32.99 (m_processor_v_writable(c_p0, s9)),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[14729, 16330])).
% 50.32/32.99 tff(16332,plain,
% 50.32/32.99 (node56(c_p0, s9)),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[14737, 16331])).
% 50.32/32.99 tff(16333,plain,
% 50.32/32.99 (m_processor_v_state(c_p0, s9, c_owned)),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[14745, 16332])).
% 50.32/32.99 tff(16334,plain,
% 50.32/32.99 (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[2487, 416, 2325, 2480])).
% 50.32/32.99 tff(16335,plain,
% 50.32/32.99 (m_processor_v_cmd(c_p0, s6, c_read_h_shared)),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[14346, 2440, 14323, 5])).
% 50.32/32.99 tff(16336,plain,
% 50.32/32.99 (~node17(s6)),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[14305, 1275, 2440])).
% 50.32/32.99 tff(16337,plain,
% 50.32/32.99 (~m_memory_v_master(c_m, s6)),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[14301, 16336])).
% 50.32/32.99 tff(16338,plain,
% 50.32/32.99 (~node29(c_m, s6)),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[14293, 16337])).
% 50.32/32.99 tff(16339,plain,
% 50.32/32.99 (m_memory_v_cmd(c_m, s6, c_idle)),
% 50.32/32.99 inference(unit_resolution,[status(thm)],[14285, 16338])).
% 50.32/32.99 tff(16340,plain,
% 50.38/32.99 (~node16(s6)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14214, 1530, 2440])).
% 50.38/32.99 tff(16341,plain,
% 50.38/32.99 (~m_processor_v_master(c_p2, s6)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14224, 16340])).
% 50.38/32.99 tff(16342,plain,
% 50.38/32.99 (~node62(c_p2, s6)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14232, 16341])).
% 50.38/32.99 tff(16343,plain,
% 50.38/32.99 (m_processor_v_cmd(c_p2, s6, c_idle)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14269, 16342, 16341])).
% 50.38/32.99 tff(16344,plain,
% 50.38/32.99 (node8(s6)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14277, 16343, 16339])).
% 50.38/32.99 tff(16345,plain,
% 50.38/32.99 (m_main_v_CMD(s6, c_read_h_shared)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14320, 1669, 16344, 16335])).
% 50.38/32.99 tff(16346,plain,
% 50.38/32.99 ($false),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14361, 1228, 14355, 16345, 16334])).
% 50.38/32.99 tff(16347,plain,(m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | m_processor_v_cmd(c_p0, s6, c_read_h_owned) | (~m_processor_v_state(c_p0, s7, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.38/32.99 tff(16348,plain,
% 50.38/32.99 (m_processor_v_cmd(c_p0, s6, c_read_h_owned)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[16347, 5, 2313, 14207])).
% 50.38/32.99 tff(16349,plain,
% 50.38/32.99 (~node8(s6)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14315, 16348, 14208])).
% 50.38/32.99 tff(16350,plain,
% 50.38/32.99 (~node16(s6)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14216, 2440])).
% 50.38/32.99 tff(16351,plain,
% 50.38/32.99 (~m_processor_v_master(c_p2, s6)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14224, 16350])).
% 50.38/32.99 tff(16352,plain,
% 50.38/32.99 (~node62(c_p2, s6)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14232, 16351])).
% 50.38/32.99 tff(16353,plain,
% 50.38/32.99 (m_processor_v_cmd(c_p2, s6, c_idle)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14269, 16351, 16352])).
% 50.38/32.99 tff(16354,plain,
% 50.38/32.99 (~m_memory_v_cmd(c_m, s6, c_idle)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14277, 16353, 16349])).
% 50.38/32.99 tff(16355,plain,
% 50.38/32.99 (node29(c_m, s6)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14285, 16354])).
% 50.38/32.99 tff(16356,plain,
% 50.38/32.99 (m_memory_v_master(c_m, s6)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14293, 16355])).
% 50.38/32.99 tff(16357,plain,
% 50.38/32.99 (node17(s6)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14301, 16356])).
% 50.38/32.99 tff(16358,plain,
% 50.38/32.99 ($false),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14305, 1275, 2440, 16357])).
% 50.38/32.99 tff(16359,plain,(m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | m_main_v_CMD(s6, c_read_h_owned) | (~m_processor_v_state(c_p0, s7, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.38/32.99 tff(16360,plain,
% 50.38/32.99 (m_main_v_CMD(s6, c_read_h_owned)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[16359, 2313, 14157, 5])).
% 50.38/32.99 tff(16361,plain,
% 50.38/32.99 (m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[16254, 16360])).
% 50.38/32.99 tff(16362,plain,
% 50.38/32.99 (~node35(c_p1, s6)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[16326, 16361])).
% 50.38/32.99 tff(16363,plain,
% 50.38/32.99 (m_processor_v_abort(c_p1, s6)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[16322, 16362, 13102, 13405, 4])).
% 50.38/32.99 tff(16364,plain,
% 50.38/32.99 ($false),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[16310, 2317, 2325, 16363, 5])).
% 50.38/32.99 tff(16365,plain,((~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_state(c_p1, s7, c_invalid) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.38/32.99 tff(16366,plain,
% 50.38/32.99 (~m_processor_v_state(c_p0, s7, c_owned)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[16365, 16226, 5, 13102, 13405])).
% 50.38/32.99 tff(16367,plain,
% 50.38/32.99 (m_processor_v_state(c_p1, s8, c_owned)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[6548, 13509, 6553, 104, 52, 13512])).
% 50.38/32.99 tff(16368,plain,
% 50.38/32.99 (m_processor_v_master(c_p1, s7)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[13152, 16226, 16367])).
% 50.38/32.99 tff(16369,plain,
% 50.38/32.99 (~m_processor_v_master(c_p0, s7)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[13229, 794, 16368])).
% 50.38/32.99 tff(16370,plain,
% 50.38/32.99 (~m_processor_v_state(c_p0, s8, c_owned)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14544, 16369, 16366])).
% 50.38/32.99 tff(16371,plain,
% 50.38/32.99 (m_processor_v_CMD(c_p0, s8, c_read_h_owned)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[15134, 16370, 16333])).
% 50.38/32.99 tff(16372,plain,
% 50.38/32.99 (node32(c_p1, s8, s9)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[6394, 14890])).
% 50.38/32.99 tff(16373,plain,
% 50.38/32.99 (node67(s9)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[6250, 5698, 5670, 5668, 5785, 5671, 5667, 5669])).
% 50.38/32.99 tff(16374,plain,
% 50.38/32.99 (m_processor_v_writable(c_p1, s9)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[6259, 16373])).
% 50.38/32.99 tff(16375,plain,
% 50.38/32.99 (node56(c_p1, s9)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[6267, 16374])).
% 50.38/32.99 tff(16376,plain,
% 50.38/32.99 (m_processor_v_state(c_p1, s9, c_owned)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[6275, 16375])).
% 50.38/32.99 tff(16377,plain,
% 50.38/32.99 (~m_processor_v_state(c_p1, s9, c_shared)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[6286, 121, 16376])).
% 50.38/32.99 tff(16378,plain,
% 50.38/32.99 (~m_processor_v_state(c_p1, s9, c_invalid)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[6279, 137, 16376])).
% 50.38/32.99 tff(16379,plain,
% 50.38/32.99 ($false),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[6525, 16378, 16377, 6518, 5672])).
% 50.38/32.99 tff(16380,plain,(m_processor_v_state(c_p1, s8, c_owned) | (~node32(c_p1, s8, s9)) | node67(s4) | node67(s6) | node67(s2) | node67(s3) | node67(s7) | node67(s5)), inference(lemma,lemma(discharge,[]))).
% 50.38/32.99 tff(16381,plain,
% 50.38/32.99 (m_processor_v_state(c_p1, s8, c_owned)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[16380, 12531, 5670, 5668, 5785, 5671, 16372, 5669])).
% 50.38/32.99 tff(16382,plain,
% 50.38/32.99 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_owned) | (~node32(c_p1, s8, s9)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_owned) | (~node32(c_p1, s8, s9)))),
% 50.38/32.99 inference(rewrite,[status(thm)],[])).
% 50.38/32.99 tff(16383,plain,
% 50.38/32.99 (((~node32(c_p1, s8, s9)) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_owned)) <=> ((~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_owned) | (~node32(c_p1, s8, s9)))),
% 50.38/32.99 inference(rewrite,[status(thm)],[])).
% 50.38/32.99 tff(16384,plain,
% 50.38/32.99 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s8, s9)) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_owned) | (~node32(c_p1, s8, s9))))),
% 50.38/32.99 inference(monotonicity,[status(thm)],[16383])).
% 50.38/32.99 tff(16385,plain,
% 50.38/32.99 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s8, s9)) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_owned) | (~node32(c_p1, s8, s9)))),
% 50.38/32.99 inference(transitivity,[status(thm)],[16384, 16382])).
% 50.38/32.99 tff(16386,plain,
% 50.38/32.99 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s8, s9)) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_owned))),
% 50.38/32.99 inference(quant_inst,[status(thm)],[])).
% 50.38/32.99 tff(16387,plain,
% 50.38/32.99 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_owned) | (~node32(c_p1, s8, s9))),
% 50.38/32.99 inference(modus_ponens,[status(thm)],[16386, 16385])).
% 50.38/32.99 tff(16388,plain,
% 50.38/32.99 ($false),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[16387, 380, 13022, 6518, 6270])).
% 50.38/32.99 tff(16389,plain,((~node32(c_p1, s8, s9)) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.38/32.99 tff(16390,plain,
% 50.38/32.99 (m_processor_v_state(c_p1, s9, c_owned)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[16389, 16381, 16372])).
% 50.38/32.99 tff(16391,plain,
% 50.38/32.99 (~m_processor_v_state(c_p1, s9, c_invalid)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[6279, 137, 16390])).
% 50.38/32.99 tff(16392,plain,
% 50.38/32.99 (~m_processor_v_state(c_p1, s8, c_invalid)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[6521, 16391, 16372])).
% 50.38/32.99 tff(16393,plain,
% 50.38/32.99 (~m_processor_v_state(c_p1, s8, c_shared)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[13150, 121, 16381])).
% 50.38/32.99 tff(16394,plain,
% 50.38/32.99 (m_processor_v_master(c_p1, s7)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[13143, 16393, 4, 16392])).
% 50.38/32.99 tff(16395,plain,
% 50.38/32.99 (~m_processor_v_master(c_p0, s7)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[13229, 794, 16394])).
% 50.38/32.99 tff(16396,plain,
% 50.38/32.99 (~m_processor_v_state(c_p0, s8, c_owned)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14544, 16395, 3])).
% 50.38/32.99 tff(16397,plain,
% 50.38/32.99 (~node56(c_p0, s8)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14413, 16396])).
% 50.38/32.99 tff(16398,plain,
% 50.38/32.99 (~m_processor_v_writable(c_p0, s8)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[12508, 16397])).
% 50.38/32.99 tff(16399,plain,
% 50.38/32.99 (~node67(s8)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[12500, 16398])).
% 50.38/32.99 tff(16400,plain,
% 50.38/32.99 (node67(s9)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[6250, 16399, 5670, 5668, 5785, 5671, 12531, 5669])).
% 50.38/32.99 tff(16401,plain,
% 50.38/32.99 (m_processor_v_writable(c_p0, s9)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14729, 16400])).
% 50.38/32.99 tff(16402,plain,
% 50.38/32.99 (node56(c_p0, s9)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14737, 16401])).
% 50.38/32.99 tff(16403,plain,
% 50.38/32.99 (m_processor_v_state(c_p0, s9, c_owned)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14745, 16402])).
% 50.38/32.99 tff(16404,plain,
% 50.38/32.99 (~m_processor_v_state(c_p0, s9, c_shared)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14766, 121, 16403])).
% 50.38/32.99 tff(16405,plain,
% 50.38/32.99 (m_processor_v_abort(c_p0, s8)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[15026, 16396, 16403, 14890])).
% 50.38/32.99 tff(16406,plain,
% 50.38/32.99 (node32(c_p0, s8, s9)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14811, 16405])).
% 50.38/32.99 tff(16407,plain,
% 50.38/32.99 (~m_processor_v_state(c_p0, s8, c_shared)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14847, 16406, 16404])).
% 50.38/32.99 tff(16408,plain,
% 50.38/32.99 (~m_processor_v_state(c_p0, s9, c_invalid)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14770, 137, 16403])).
% 50.38/32.99 tff(16409,plain,
% 50.38/32.99 (~m_processor_v_state(c_p0, s8, c_invalid)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14797, 16406, 16408])).
% 50.38/32.99 tff(16410,plain,
% 50.38/32.99 (~m_processor_v_state(c_p0, s7, c_invalid)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14541, 55, 14438])).
% 50.38/32.99 tff(16411,plain,
% 50.38/32.99 (m_processor_v_abort(c_p0, s7)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14484, 14423, 14438, 14468, 55])).
% 50.38/32.99 tff(16412,plain,
% 50.38/32.99 (node32(c_p0, s7, s8)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14492, 16411])).
% 50.38/32.99 tff(16413,plain,
% 50.38/32.99 ($false),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14499, 380, 14423, 14468, 16412])).
% 50.38/32.99 tff(16414,plain,((~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_state(c_p0, s8, c_invalid) | m_processor_v_master(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 50.38/32.99 tff(16415,plain,
% 50.38/32.99 (~m_processor_v_state(c_p0, s7, c_shared)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[16414, 55, 14438, 14468])).
% 50.38/32.99 tff(16416,plain,
% 50.38/32.99 ($false),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[2473, 16415, 16410, 3])).
% 50.38/32.99 tff(16417,plain,(m_processor_v_master(c_p0, s7) | m_processor_v_state(c_p0, s7, c_owned) | m_processor_v_state(c_p0, s8, c_invalid) | m_processor_v_state(c_p0, s8, c_shared)), inference(lemma,lemma(discharge,[]))).
% 50.38/32.99 tff(16418,plain,
% 50.38/32.99 ($false),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[16417, 16409, 16407, 3, 16395])).
% 50.38/32.99 tff(16419,plain,(m_processor_v_state(c_p1, s7, c_owned) | m_processor_v_state(c_p0, s7, c_owned) | (~m_processor_v_abort(c_p1, s8)) | node67(s4) | node67(s6) | node67(s2) | node67(s3) | node67(s5)), inference(lemma,lemma(discharge,[]))).
% 50.38/32.99 tff(16420,plain,
% 50.38/32.99 (m_processor_v_state(c_p1, s7, c_owned) | m_processor_v_state(c_p0, s7, c_owned) | (~m_processor_v_abort(c_p1, s8)) | node67(s4) | node67(s6) | node67(s3) | node67(s5)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[16419, 5747])).
% 50.38/32.99 tff(16421,plain,
% 50.38/32.99 (~m_processor_v_abort(c_p1, s8)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[16420, 16226, 16366, 104, 52, 13512, 13509])).
% 50.38/32.99 tff(16422,plain,
% 50.38/32.99 (node60(c_p1, s8)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[15039, 16421])).
% 50.38/32.99 tff(16423,plain,
% 50.38/32.99 (~m_processor_v_REPLY_h_STALL(c_p1, s8)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[15048, 16422])).
% 50.38/32.99 tff(16424,plain,
% 50.38/32.99 (~m_main_v_REPLY_h_STALL(s8)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[15056, 16423])).
% 50.38/32.99 tff(16425,plain,
% 50.38/32.99 (~m_processor_v_REPLY_h_STALL(c_p0, s8)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[15064, 16424])).
% 50.38/32.99 tff(16426,plain,
% 50.38/32.99 (m_processor_v_writable(c_p1, s9)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[6259, 16330])).
% 50.38/32.99 tff(16427,plain,
% 50.38/32.99 (node56(c_p1, s9)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[6267, 16426])).
% 50.38/32.99 tff(16428,plain,
% 50.38/32.99 (m_processor_v_state(c_p1, s9, c_owned)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[6275, 16427])).
% 50.38/32.99 tff(16429,plain,
% 50.38/32.99 (~m_processor_v_state(c_p1, s9, c_invalid)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[6279, 137, 16428])).
% 50.38/32.99 tff(16430,plain,
% 50.38/32.99 (~m_processor_v_state(c_p1, s9, c_shared)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[6286, 121, 16428])).
% 50.38/32.99 tff(16431,plain,
% 50.38/32.99 (m_processor_v_state(c_p1, s8, c_owned)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[6477, 6297, 6289, 6288])).
% 50.38/32.99 tff(16432,plain,
% 50.38/32.99 (m_processor_v_master(c_p1, s7)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[13152, 16431, 4])).
% 50.38/32.99 tff(16433,plain,
% 50.38/32.99 (~m_processor_v_master(c_p0, s7)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[13229, 794, 16432])).
% 50.38/32.99 tff(16434,plain,
% 50.38/32.99 (~m_processor_v_state(c_p0, s8, c_owned)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14544, 16433, 3])).
% 50.38/32.99 tff(16435,plain,
% 50.38/32.99 ($false),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[15134, 16434, 15524, 14759])).
% 50.38/32.99 tff(16436,plain,(m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~m_processor_v_state(c_p0, s9, c_owned)) | m_processor_v_state(c_p0, s7, c_owned) | m_processor_v_state(c_p1, s7, c_owned) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_state(c_p1, s9, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.38/32.99 tff(16437,plain,
% 50.38/32.99 (m_processor_v_CMD(c_p1, s8, c_read_h_owned)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[16436, 16430, 16366, 16226, 16333, 16429])).
% 50.38/32.99 tff(16438,plain,
% 50.38/32.99 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s8, c_read_h_owned)) | (~node59(c_p1, s8)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)) | (~node59(c_p1, s8)))),
% 50.38/32.99 inference(rewrite,[status(thm)],[])).
% 50.38/32.99 tff(16439,plain,
% 50.38/32.99 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s8, c_read_h_owned)) | (~node59(c_p1, s8)))),
% 50.38/32.99 inference(quant_inst,[status(thm)],[])).
% 50.38/32.99 tff(16440,plain,
% 50.38/32.99 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)) | (~node59(c_p1, s8))),
% 50.38/32.99 inference(modus_ponens,[status(thm)],[16439, 16438])).
% 50.38/32.99 tff(16441,plain,
% 50.38/32.99 (~node59(c_p1, s8)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[16440, 707, 16437])).
% 50.38/32.99 tff(16442,assumption,(m_processor_v_REPLY_h_WAITING(c_p1, s8)), introduced(assumption)).
% 50.38/32.99 tff(16443,assumption,(~node59(c_p1, s8)), introduced(assumption)).
% 50.38/32.99 tff(16444,plain,
% 50.38/32.99 ($false),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[15127, 724, 15042, 16443, 16442])).
% 50.38/32.99 tff(16445,plain,((~m_processor_v_REPLY_h_WAITING(c_p1, s8)) | (~node60(c_p1, s8)) | node59(c_p1, s8)), inference(lemma,lemma(discharge,[]))).
% 50.38/32.99 tff(16446,plain,
% 50.38/32.99 (~m_processor_v_REPLY_h_WAITING(c_p1, s8)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[16445, 16441, 16422])).
% 50.38/32.99 tff(16447,assumption,(~m_processor_v_REPLY_h_WAITING(c_p1, s8)), introduced(assumption)).
% 50.38/32.99 tff(16448,assumption,(m_main_v_REPLY_h_WAITING(s8)), introduced(assumption)).
% 50.38/32.99 tff(16449,plain,
% 50.38/32.99 ($false),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[15120, 745, 16448, 16447])).
% 50.38/32.99 tff(16450,plain,((~m_main_v_REPLY_h_WAITING(s8)) | m_processor_v_REPLY_h_WAITING(c_p1, s8)), inference(lemma,lemma(discharge,[]))).
% 50.38/32.99 tff(16451,plain,
% 50.38/32.99 (~m_main_v_REPLY_h_WAITING(s8)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[16450, 16446])).
% 50.38/32.99 tff(16452,plain,
% 50.38/32.99 (~m_processor_v_REPLY_h_WAITING(c_p0, s8)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[15116, 16451])).
% 50.38/32.99 tff(16453,plain,
% 50.38/32.99 (~node61(c_p0, s8)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[15108, 16452])).
% 50.38/32.99 tff(16454,plain,
% 50.38/32.99 (~m_processor_v_abort(c_p0, s8)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[15072, 16453, 16425])).
% 50.38/32.99 tff(16455,plain,
% 50.38/32.99 (m_processor_v_master(c_p0, s8)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14888, 16370, 16333])).
% 50.38/32.99 tff(16456,plain,
% 50.38/32.99 (~m_processor_v_waiting(c_p0, s9)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[14756, 540, 16332])).
% 50.38/32.99 tff(16457,plain,
% 50.38/32.99 (node47(c_p0, s8)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[15149, 16456, 16455, 16454, 16371])).
% 50.38/32.99 tff(16458,plain,
% 50.38/32.99 (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[15157, 16456, 16455, 16454])).
% 50.38/32.99 tff(16459,plain,
% 50.38/32.99 ($false),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[15161, 657, 16458, 16457])).
% 50.38/32.99 tff(16460,plain,(m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_state(c_p1, s7, c_invalid) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.38/32.99 tff(16461,plain,
% 50.38/32.99 (m_processor_v_state(c_p1, s3, c_owned)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[16460, 53, 13102, 13405, 5])).
% 50.38/32.99 tff(16462,plain,
% 50.38/32.99 (~m_processor_v_state(c_p1, s4, c_owned)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[6865, 1439, 53])).
% 50.38/32.99 tff(16463,plain,
% 50.38/32.99 (~node56(c_p1, s4)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[6584, 16462])).
% 50.38/32.99 tff(16464,plain,
% 50.38/32.99 (~m_processor_v_writable(c_p1, s4)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[6573, 16463])).
% 50.38/32.99 tff(16465,plain,
% 50.38/32.99 (~node67(s4)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[6565, 16464])).
% 50.38/32.99 tff(16466,plain,
% 50.38/32.99 (m_main_v_CMD(s2, c_read_h_owned)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[9278, 16465, 5698, 5949, 52, 6553, 104])).
% 50.38/32.99 tff(16467,plain,
% 50.38/32.99 (m_processor_v_CMD(c_p0, s2, c_read_h_owned)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[5645, 16466])).
% 50.38/32.99 tff(16468,plain,
% 50.38/32.99 (node67(s3)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[6548, 16465, 6553, 104, 52, 5672])).
% 50.38/32.99 tff(16469,plain,
% 50.38/32.99 (m_processor_v_state(c_p1, s3, c_owned)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[5664, 2613])).
% 50.38/32.99 tff(16470,plain,
% 50.38/32.99 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s4, c_owned) | (~node32(c_p1, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s4, c_owned) | (~node32(c_p1, s3, s4)))),
% 50.38/32.99 inference(rewrite,[status(thm)],[])).
% 50.38/32.99 tff(16471,plain,
% 50.38/32.99 (((~node32(c_p1, s3, s4)) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s4, c_owned)) <=> ((~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s4, c_owned) | (~node32(c_p1, s3, s4)))),
% 50.38/32.99 inference(rewrite,[status(thm)],[])).
% 50.38/32.99 tff(16472,plain,
% 50.38/32.99 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s3, s4)) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s4, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s4, c_owned) | (~node32(c_p1, s3, s4))))),
% 50.38/32.99 inference(monotonicity,[status(thm)],[16471])).
% 50.38/32.99 tff(16473,plain,
% 50.38/32.99 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s3, s4)) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s4, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s4, c_owned) | (~node32(c_p1, s3, s4)))),
% 50.38/32.99 inference(transitivity,[status(thm)],[16472, 16470])).
% 50.38/32.99 tff(16474,plain,
% 50.38/32.99 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s3, s4)) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s4, c_owned))),
% 50.38/32.99 inference(quant_inst,[status(thm)],[])).
% 50.38/32.99 tff(16475,plain,
% 50.38/32.99 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s4, c_owned) | (~node32(c_p1, s3, s4))),
% 50.38/32.99 inference(modus_ponens,[status(thm)],[16474, 16473])).
% 50.38/32.99 tff(16476,plain,
% 50.38/32.99 ($false),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[16475, 380, 6576, 2595, 6658])).
% 50.38/32.99 tff(16477,plain,((~node32(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_owned) | (~m_processor_v_state(c_p1, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.38/32.99 tff(16478,plain,
% 50.38/32.99 (~node32(c_p1, s3, s4)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[16477, 2595, 6576])).
% 50.38/32.99 tff(16479,plain,
% 50.38/32.99 (~m_processor_v_abort(c_p1, s3)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[6640, 16478])).
% 50.38/32.99 tff(16480,plain,
% 50.38/32.99 (node37(c_p1, s3, s4)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[6635, 16479, 6607, 5277, 6614])).
% 50.38/32.99 tff(16481,plain,
% 50.38/32.99 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s4, c_owned) | (~node37(c_p1, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s4, c_owned) | (~node37(c_p1, s3, s4)))),
% 50.38/32.99 inference(rewrite,[status(thm)],[])).
% 50.38/32.99 tff(16482,plain,
% 50.38/32.99 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s4, c_owned) | (~node37(c_p1, s3, s4)))),
% 50.38/32.99 inference(quant_inst,[status(thm)],[])).
% 50.38/32.99 tff(16483,plain,
% 50.38/32.99 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s4, c_owned) | (~node37(c_p1, s3, s4))),
% 50.38/32.99 inference(modus_ponens,[status(thm)],[16482, 16481])).
% 50.38/32.99 tff(16484,plain,
% 50.38/32.99 ($false),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[16483, 2411, 6576, 2595, 16480])).
% 50.38/32.99 tff(16485,plain,((~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s4, c_owned) | m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s3, c_shared)), inference(lemma,lemma(discharge,[]))).
% 50.38/32.99 tff(16486,plain,
% 50.38/32.99 (m_processor_v_state(c_p1, s3, c_shared)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[16485, 2595, 6607, 6576])).
% 50.38/32.99 tff(16487,plain,
% 50.38/32.99 ($false),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[5139, 121, 16486, 2595])).
% 50.38/32.99 tff(16488,plain,((~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s4, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.38/32.99 tff(16489,plain,
% 50.38/32.99 (m_processor_v_master(c_p1, s3)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[16488, 6576, 16469])).
% 50.38/32.99 tff(16490,plain,
% 50.38/32.99 (m_processor_v_writable(c_p0, s3)),
% 50.38/32.99 inference(unit_resolution,[status(thm)],[2629, 43, 2594])).
% 50.38/33.00 tff(16491,plain,
% 50.38/33.00 (node56(c_p0, s3)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[2637, 28, 16490])).
% 50.38/33.00 tff(16492,plain,
% 50.38/33.00 (m_processor_v_master(c_p1, s3)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16485, 16469, 5277, 6576])).
% 50.38/33.00 tff(16493,plain,
% 50.38/33.00 (~m_processor_v_master(c_p0, s3)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[9444, 794, 16492])).
% 50.38/33.00 tff(16494,assumption,(node37(c_p0, s3, s4)), introduced(assumption)).
% 50.38/33.00 tff(16495,plain,
% 50.38/33.00 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_state(c_p0, s4, c_owned) | (~node37(c_p0, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_state(c_p0, s4, c_owned) | (~node37(c_p0, s3, s4)))),
% 50.38/33.00 inference(rewrite,[status(thm)],[])).
% 50.38/33.00 tff(16496,plain,
% 50.38/33.00 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_state(c_p0, s4, c_owned) | (~node37(c_p0, s3, s4)))),
% 50.38/33.00 inference(quant_inst,[status(thm)],[])).
% 50.38/33.00 tff(16497,plain,
% 50.38/33.00 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_state(c_p0, s4, c_owned) | (~node37(c_p0, s3, s4))),
% 50.38/33.00 inference(modus_ponens,[status(thm)],[16496, 16495])).
% 50.38/33.00 tff(16498,plain,
% 50.38/33.00 ($false),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16497, 2411, 2652, 16494, 54])).
% 50.38/33.00 tff(16499,plain,((~m_processor_v_state(c_p0, s3, c_owned)) | (~node37(c_p0, s3, s4)) | m_processor_v_state(c_p0, s4, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.00 tff(16500,plain,
% 50.38/33.00 (~node37(c_p0, s3, s4)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16499, 54, 2652])).
% 50.38/33.00 tff(16501,plain,
% 50.38/33.00 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_state(c_p0, s4, c_owned) | (~node32(c_p0, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_state(c_p0, s4, c_owned) | (~node32(c_p0, s3, s4)))),
% 50.38/33.00 inference(rewrite,[status(thm)],[])).
% 50.38/33.00 tff(16502,plain,
% 50.38/33.00 (((~node32(c_p0, s3, s4)) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_state(c_p0, s4, c_owned)) <=> ((~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_state(c_p0, s4, c_owned) | (~node32(c_p0, s3, s4)))),
% 50.38/33.00 inference(rewrite,[status(thm)],[])).
% 50.38/33.00 tff(16503,plain,
% 50.38/33.00 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s3, s4)) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_state(c_p0, s4, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_state(c_p0, s4, c_owned) | (~node32(c_p0, s3, s4))))),
% 50.38/33.00 inference(monotonicity,[status(thm)],[16502])).
% 50.38/33.00 tff(16504,plain,
% 50.38/33.00 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s3, s4)) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_state(c_p0, s4, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_state(c_p0, s4, c_owned) | (~node32(c_p0, s3, s4)))),
% 50.38/33.00 inference(transitivity,[status(thm)],[16503, 16501])).
% 50.38/33.00 tff(16505,plain,
% 50.38/33.00 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s3, s4)) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_state(c_p0, s4, c_owned))),
% 50.38/33.00 inference(quant_inst,[status(thm)],[])).
% 50.38/33.00 tff(16506,plain,
% 50.38/33.00 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_state(c_p0, s4, c_owned) | (~node32(c_p0, s3, s4))),
% 50.38/33.00 inference(modus_ponens,[status(thm)],[16505, 16504])).
% 50.38/33.00 tff(16507,plain,
% 50.38/33.00 ($false),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16506, 380, 2652, 9380, 54])).
% 50.38/33.00 tff(16508,plain,((~node32(c_p0, s3, s4)) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_state(c_p0, s4, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.00 tff(16509,plain,
% 50.38/33.00 (~node32(c_p0, s3, s4)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16508, 54, 2652])).
% 50.38/33.00 tff(16510,plain,
% 50.38/33.00 (~m_processor_v_abort(c_p0, s3)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[9403, 16509])).
% 50.38/33.00 tff(16511,plain,
% 50.38/33.00 ($false),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[9436, 16510, 16500, 9405, 2723, 9429])).
% 50.38/33.00 tff(16512,plain,(m_processor_v_state(c_p0, s4, c_owned) | m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s3, c_shared) | (~m_processor_v_state(c_p0, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.38/33.00 tff(16513,plain,
% 50.38/33.00 ($false),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16512, 2662, 2652, 54, 9405])).
% 50.38/33.00 tff(16514,plain,((~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_state(c_p0, s4, c_owned) | m_processor_v_master(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.00 tff(16515,plain,
% 50.38/33.00 (~m_processor_v_state(c_p0, s3, c_owned)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16514, 16493, 54])).
% 50.38/33.00 tff(16516,plain,
% 50.38/33.00 ($false),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[2648, 13, 16515, 16491])).
% 50.38/33.00 tff(16517,plain,((~node67(s3)) | m_processor_v_state(c_p0, s4, c_owned) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s4, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.00 tff(16518,plain,
% 50.38/33.00 (m_processor_v_state(c_p1, s3, c_shared)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16517, 2594, 6576, 54])).
% 50.38/33.00 tff(16519,plain,
% 50.38/33.00 ($false),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[5139, 121, 16518, 16469])).
% 50.38/33.00 tff(16520,plain,((~node67(s3)) | m_processor_v_state(c_p1, s4, c_owned) | m_processor_v_state(c_p0, s4, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.00 tff(16521,plain,
% 50.38/33.00 (m_processor_v_state(c_p0, s4, c_owned)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16520, 6576, 2594])).
% 50.38/33.00 tff(16522,plain,
% 50.38/33.00 (m_processor_v_master(c_p0, s3)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[9728, 16521, 2642])).
% 50.38/33.00 tff(16523,plain,
% 50.38/33.00 ($false),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[9444, 794, 16522, 16489])).
% 50.38/33.00 tff(16524,plain,(m_processor_v_state(c_p1, s4, c_owned) | m_processor_v_state(c_p0, s3, c_owned) | (~node67(s3))), inference(lemma,lemma(discharge,[]))).
% 50.38/33.00 tff(16525,plain,
% 50.38/33.00 (m_processor_v_state(c_p0, s3, c_owned)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16524, 16468, 16462])).
% 50.38/33.00 tff(16526,plain,
% 50.38/33.00 (~m_processor_v_state(c_p0, s3, c_shared)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[2661, 16525])).
% 50.38/33.00 tff(16527,plain,
% 50.38/33.00 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[2665, 137, 16525])).
% 50.38/33.00 tff(16528,plain,
% 50.38/33.00 (m_processor_v_state(c_p0, s4, c_owned)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16520, 16468, 16462])).
% 50.38/33.00 tff(16529,plain,
% 50.38/33.00 (~m_processor_v_state(c_p0, s4, c_invalid)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[1757, 16528])).
% 50.38/33.00 tff(16530,plain,
% 50.38/33.00 (m_processor_v_CMD(c_p1, s2, c_read_h_owned)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[5401, 16466])).
% 50.38/33.00 tff(16531,plain,
% 50.38/33.00 (m_processor_v_writable(c_p1, s3)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[2604, 16468])).
% 50.38/33.00 tff(16532,plain,
% 50.38/33.00 (node56(c_p1, s3)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[2612, 16531])).
% 50.38/33.00 tff(16533,plain,
% 50.38/33.00 (~m_processor_v_waiting(c_p1, s3)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[2616, 540, 16532])).
% 50.38/33.00 tff(16534,plain,
% 50.38/33.00 (~m_main_v_CMD(s2, c_read_h_shared)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[8797, 16466])).
% 50.38/33.00 tff(16535,plain,
% 50.38/33.00 (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[8791, 16534])).
% 50.38/33.00 tff(16536,plain,
% 50.38/33.00 (~node47(c_p1, s2)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[5419, 657, 16535])).
% 50.38/33.00 tff(16537,plain,
% 50.38/33.00 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s2, c_idle)) | (~m_main_v_CMD(s2, c_read_h_owned)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned)))) | (~m_main_v_CMD(s2, c_idle)) | (~m_main_v_CMD(s2, c_read_h_owned)))),
% 50.38/33.00 inference(rewrite,[status(thm)],[])).
% 50.38/33.00 tff(16538,plain,
% 50.38/33.00 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s2, c_idle)) | (~m_main_v_CMD(s2, c_read_h_owned)))),
% 50.38/33.00 inference(quant_inst,[status(thm)],[])).
% 50.38/33.00 tff(16539,plain,
% 50.38/33.00 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned)))) | (~m_main_v_CMD(s2, c_idle)) | (~m_main_v_CMD(s2, c_read_h_owned))),
% 50.38/33.00 inference(modus_ponens,[status(thm)],[16538, 16537])).
% 50.38/33.00 tff(16540,plain,
% 50.38/33.00 (~m_main_v_CMD(s2, c_idle)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16539, 1971, 16466])).
% 50.38/33.00 tff(16541,plain,
% 50.38/33.00 (~m_processor_v_state(c_p0, s2, c_invalid)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[9440, 2622, 1095, 9405])).
% 50.38/33.00 tff(16542,plain,
% 50.38/33.00 (m_processor_v_state(c_p1, s2, c_invalid)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[5074, 16541])).
% 50.38/33.00 tff(16543,plain,
% 50.38/33.00 (~m_processor_v_state(c_p1, s2, c_shared)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[5081, 16542])).
% 50.38/33.00 tff(16544,plain,
% 50.38/33.00 (m_processor_v_master(c_p1, s2)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[5131, 16543, 5091, 16542])).
% 50.38/33.00 tff(16545,assumption,(~m_main_v_CMD(s2, c_idle)), introduced(assumption)).
% 50.38/33.00 tff(16546,plain,
% 50.38/33.00 (~node32(c_p1, s2, s3)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[5107, 16542, 5091])).
% 50.38/33.00 tff(16547,plain,
% 50.38/33.00 (m_processor_v_cmd(c_p0, s2, c_idle)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[5366, 2622])).
% 50.38/33.00 tff(16548,assumption,(node12(s2)), introduced(assumption)).
% 50.38/33.00 tff(16549,plain,
% 50.38/33.00 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | ((~m_processor_v_cmd(c_p0, s2, c_idle)) | m_main_v_CMD(s2, c_idle) | (~node12(s2)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (~m_processor_v_cmd(c_p0, s2, c_idle)) | m_main_v_CMD(s2, c_idle) | (~node12(s2)))),
% 50.38/33.00 inference(rewrite,[status(thm)],[])).
% 50.38/33.00 tff(16550,plain,
% 50.38/33.00 ((m_main_v_CMD(s2, c_idle) | (~m_processor_v_cmd(c_p0, s2, c_idle)) | (~node12(s2))) <=> ((~m_processor_v_cmd(c_p0, s2, c_idle)) | m_main_v_CMD(s2, c_idle) | (~node12(s2)))),
% 50.38/33.00 inference(rewrite,[status(thm)],[])).
% 50.38/33.00 tff(16551,plain,
% 50.38/33.00 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s2, c_idle) | (~m_processor_v_cmd(c_p0, s2, c_idle)) | (~node12(s2)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | ((~m_processor_v_cmd(c_p0, s2, c_idle)) | m_main_v_CMD(s2, c_idle) | (~node12(s2))))),
% 50.38/33.00 inference(monotonicity,[status(thm)],[16550])).
% 50.38/33.00 tff(16552,plain,
% 50.38/33.00 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s2, c_idle) | (~m_processor_v_cmd(c_p0, s2, c_idle)) | (~node12(s2)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (~m_processor_v_cmd(c_p0, s2, c_idle)) | m_main_v_CMD(s2, c_idle) | (~node12(s2)))),
% 50.38/33.00 inference(transitivity,[status(thm)],[16551, 16549])).
% 50.38/33.00 tff(16553,plain,
% 50.38/33.00 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s2, c_idle) | (~m_processor_v_cmd(c_p0, s2, c_idle)) | (~node12(s2)))),
% 50.38/33.00 inference(quant_inst,[status(thm)],[])).
% 50.38/33.00 tff(16554,plain,
% 50.38/33.00 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (~m_processor_v_cmd(c_p0, s2, c_idle)) | m_main_v_CMD(s2, c_idle) | (~node12(s2))),
% 50.38/33.00 inference(modus_ponens,[status(thm)],[16553, 16552])).
% 50.38/33.00 tff(16555,plain,
% 50.38/33.00 ($false),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16554, 2128, 5322, 16548, 16545])).
% 50.38/33.00 tff(16556,plain,((~node12(s2)) | (~m_processor_v_cmd(c_p0, s2, c_idle)) | m_main_v_CMD(s2, c_idle)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.00 tff(16557,plain,
% 50.38/33.00 (~node12(s2)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16556, 5322, 16545])).
% 50.38/33.00 tff(16558,plain,
% 50.38/33.00 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~m_processor_v_cmd(c_p0, s2, c_idle)) | m_main_v_CMD(s2, c_idle) | (~node8(s2)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s2, c_idle)) | m_main_v_CMD(s2, c_idle) | (~node8(s2)))),
% 50.38/33.00 inference(rewrite,[status(thm)],[])).
% 50.38/33.00 tff(16559,plain,
% 50.38/33.00 ((m_main_v_CMD(s2, c_idle) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_idle))) <=> ((~m_processor_v_cmd(c_p0, s2, c_idle)) | m_main_v_CMD(s2, c_idle) | (~node8(s2)))),
% 50.38/33.00 inference(rewrite,[status(thm)],[])).
% 50.38/33.00 tff(16560,plain,
% 50.38/33.00 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s2, c_idle) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_idle)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~m_processor_v_cmd(c_p0, s2, c_idle)) | m_main_v_CMD(s2, c_idle) | (~node8(s2))))),
% 50.38/33.00 inference(monotonicity,[status(thm)],[16559])).
% 50.38/33.00 tff(16561,plain,
% 50.38/33.00 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s2, c_idle) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_idle)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s2, c_idle)) | m_main_v_CMD(s2, c_idle) | (~node8(s2)))),
% 50.38/33.00 inference(transitivity,[status(thm)],[16560, 16558])).
% 50.38/33.00 tff(16562,plain,
% 50.38/33.00 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s2, c_idle) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_idle)))),
% 50.38/33.00 inference(quant_inst,[status(thm)],[])).
% 50.38/33.00 tff(16563,plain,
% 50.38/33.00 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s2, c_idle)) | m_main_v_CMD(s2, c_idle) | (~node8(s2))),
% 50.38/33.00 inference(modus_ponens,[status(thm)],[16562, 16561])).
% 50.38/33.00 tff(16564,plain,
% 50.38/33.00 ((~m_processor_v_cmd(c_p0, s2, c_idle)) | (~node8(s2))),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16563, 1669, 16545])).
% 50.38/33.00 tff(16565,plain,
% 50.38/33.00 (~node8(s2)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16564, 5322])).
% 50.38/33.00 tff(16566,assumption,(~node12(s2)), introduced(assumption)).
% 50.38/33.00 tff(16567,assumption,(node9(s2)), introduced(assumption)).
% 50.38/33.00 tff(16568,plain,
% 50.38/33.00 (((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | ((~node9(s2)) | m_memory_v_cmd(c_m, s2, c_idle))) <=> ((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | (~node9(s2)) | m_memory_v_cmd(c_m, s2, c_idle))),
% 50.38/33.00 inference(rewrite,[status(thm)],[])).
% 50.38/33.00 tff(16569,plain,
% 50.38/33.00 ((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | ((~node9(s2)) | m_memory_v_cmd(c_m, s2, c_idle))),
% 50.38/33.00 inference(quant_inst,[status(thm)],[])).
% 50.38/33.00 tff(16570,plain,
% 50.38/33.00 ((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | (~node9(s2)) | m_memory_v_cmd(c_m, s2, c_idle)),
% 50.38/33.00 inference(modus_ponens,[status(thm)],[16569, 16568])).
% 50.38/33.00 tff(16571,plain,
% 50.38/33.00 (m_memory_v_cmd(c_m, s2, c_idle)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16570, 2000, 16567])).
% 50.38/33.00 tff(16572,plain,
% 50.38/33.00 (((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | ((~node9(s2)) | m_processor_v_cmd(c_p2, s2, c_idle))) <=> ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | (~node9(s2)) | m_processor_v_cmd(c_p2, s2, c_idle))),
% 50.38/33.00 inference(rewrite,[status(thm)],[])).
% 50.38/33.00 tff(16573,plain,
% 50.38/33.00 ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | ((~node9(s2)) | m_processor_v_cmd(c_p2, s2, c_idle))),
% 50.38/33.00 inference(quant_inst,[status(thm)],[])).
% 50.38/33.00 tff(16574,plain,
% 50.38/33.00 ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | (~node9(s2)) | m_processor_v_cmd(c_p2, s2, c_idle)),
% 50.38/33.00 inference(modus_ponens,[status(thm)],[16573, 16572])).
% 50.38/33.00 tff(16575,plain,
% 50.38/33.00 (m_processor_v_cmd(c_p2, s2, c_idle)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16574, 2146, 16567])).
% 50.38/33.00 tff(16576,plain,
% 50.38/33.00 ((~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_memory_v_cmd(c_m, s2, c_idle))),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[5592, 1593, 5142, 5566])).
% 50.38/33.00 tff(16577,plain,
% 50.38/33.00 ($false),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16576, 16575, 16571])).
% 50.38/33.00 tff(16578,plain,((~node9(s2)) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | node8(s2)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.00 tff(16579,plain,
% 50.38/33.00 (~node9(s2)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16578, 5566, 5142])).
% 50.38/33.00 tff(16580,plain,
% 50.38/33.00 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | ((~m_processor_v_cmd(c_p0, s2, c_idle)) | node9(s2) | node11(s2) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | node12(s2) | (~m_memory_v_cmd(c_m, s2, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s2, c_idle)) | node9(s2) | node11(s2) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | node12(s2) | (~m_memory_v_cmd(c_m, s2, c_idle)))),
% 50.38/33.00 inference(rewrite,[status(thm)],[])).
% 50.38/33.00 tff(16581,plain,
% 50.38/33.00 ((node9(s2) | node11(s2) | node12(s2) | (~m_memory_v_cmd(c_m, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_processor_v_cmd(c_p0, s2, c_idle))) <=> ((~m_processor_v_cmd(c_p0, s2, c_idle)) | node9(s2) | node11(s2) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | node12(s2) | (~m_memory_v_cmd(c_m, s2, c_idle)))),
% 50.38/33.00 inference(rewrite,[status(thm)],[])).
% 50.38/33.00 tff(16582,plain,
% 50.38/33.00 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s2) | node11(s2) | node12(s2) | (~m_memory_v_cmd(c_m, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_processor_v_cmd(c_p0, s2, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | ((~m_processor_v_cmd(c_p0, s2, c_idle)) | node9(s2) | node11(s2) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | node12(s2) | (~m_memory_v_cmd(c_m, s2, c_idle))))),
% 50.38/33.00 inference(monotonicity,[status(thm)],[16581])).
% 50.38/33.00 tff(16583,plain,
% 50.38/33.00 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s2) | node11(s2) | node12(s2) | (~m_memory_v_cmd(c_m, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_processor_v_cmd(c_p0, s2, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s2, c_idle)) | node9(s2) | node11(s2) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | node12(s2) | (~m_memory_v_cmd(c_m, s2, c_idle)))),
% 50.38/33.00 inference(transitivity,[status(thm)],[16582, 16580])).
% 50.38/33.00 tff(16584,plain,
% 50.38/33.00 ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s2) | node11(s2) | node12(s2) | (~m_memory_v_cmd(c_m, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_processor_v_cmd(c_p0, s2, c_idle)))),
% 50.38/33.00 inference(quant_inst,[status(thm)],[])).
% 50.38/33.00 tff(16585,plain,
% 50.38/33.00 ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s2, c_idle)) | node9(s2) | node11(s2) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | node12(s2) | (~m_memory_v_cmd(c_m, s2, c_idle))),
% 50.38/33.00 inference(modus_ponens,[status(thm)],[16584, 16583])).
% 50.38/33.00 tff(16586,plain,
% 50.38/33.00 (node11(s2) | (~m_memory_v_cmd(c_m, s2, c_idle))),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16585, 2171, 8992, 5142, 16579, 16566])).
% 50.38/33.00 tff(16587,plain,
% 50.38/33.00 (node11(s2)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16586, 5586])).
% 50.38/33.00 tff(16588,plain,
% 50.38/33.00 (~m_processor_v_cmd(c_p2, s2, c_idle)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[5594, 5586, 5142, 5566])).
% 50.38/33.00 tff(16589,plain,
% 50.38/33.00 (((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (m_processor_v_cmd(c_p2, s2, c_idle) | (~node11(s2)))) <=> ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | m_processor_v_cmd(c_p2, s2, c_idle) | (~node11(s2)))),
% 50.38/33.00 inference(rewrite,[status(thm)],[])).
% 50.38/33.00 tff(16590,plain,
% 50.38/33.00 ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (m_processor_v_cmd(c_p2, s2, c_idle) | (~node11(s2)))),
% 50.38/33.00 inference(quant_inst,[status(thm)],[])).
% 50.38/33.00 tff(16591,plain,
% 50.38/33.00 ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | m_processor_v_cmd(c_p2, s2, c_idle) | (~node11(s2))),
% 50.38/33.00 inference(modus_ponens,[status(thm)],[16590, 16589])).
% 50.38/33.00 tff(16592,plain,
% 50.38/33.00 ($false),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16591, 2157, 16588, 16587])).
% 50.38/33.00 tff(16593,plain,((~m_memory_v_cmd(c_m, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | node12(s2) | node8(s2)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.00 tff(16594,plain,
% 50.38/33.00 ($false),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16593, 16565, 16557, 5142, 5586])).
% 50.38/33.00 tff(16595,plain,((~m_processor_v_cmd(c_p0, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_memory_v_cmd(c_m, s2, c_idle)) | m_main_v_CMD(s2, c_idle)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.00 tff(16596,plain,
% 50.38/33.00 (~m_processor_v_cmd(c_p1, s2, c_idle)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16595, 16547, 16545, 5586])).
% 50.38/33.00 tff(16597,plain,
% 50.38/33.00 (m_processor_v_master(c_p1, s2)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[5564, 16596])).
% 50.38/33.00 tff(16598,plain,
% 50.38/33.00 (m_processor_v_abort(c_p1, s2)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[5388, 16597, 5376, 5375, 5374])).
% 50.38/33.00 tff(16599,plain,
% 50.38/33.00 ($false),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[5121, 16598, 16546])).
% 50.38/33.00 tff(16600,plain,(m_processor_v_master(c_p0, s2) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | m_processor_v_waiting(c_p1, s3) | node47(c_p1, s2) | m_processor_v_state(c_p1, s3, c_invalid) | m_main_v_CMD(s2, c_idle) | (~m_memory_v_cmd(c_m, s2, c_idle)) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_master(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.00 tff(16601,plain,
% 50.38/33.00 (~m_memory_v_cmd(c_m, s2, c_idle)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16600, 2622, 5375, 5374, 5091, 16545, 5376, 1095, 9405])).
% 50.38/33.00 tff(16602,plain,
% 50.38/33.00 (node29(c_m, s2)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[5195, 16601])).
% 50.38/33.00 tff(16603,plain,
% 50.38/33.00 (m_memory_v_master(c_m, s2)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[5187, 16602])).
% 50.38/33.00 tff(16604,plain,
% 50.38/33.00 (node17(s2)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[5179, 16603])).
% 50.38/33.00 tff(16605,plain,
% 50.38/33.00 ($false),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[5171, 16604, 16544])).
% 50.38/33.00 tff(16606,plain,(m_processor_v_master(c_p0, s2) | m_processor_v_state(c_p1, s3, c_invalid) | m_processor_v_waiting(c_p1, s3) | node47(c_p1, s2) | m_main_v_CMD(s2, c_idle) | (~m_processor_v_CMD(c_p1, s2, c_read_h_owned)) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_master(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.00 tff(16607,plain,
% 50.38/33.00 (m_processor_v_master(c_p0, s2)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16606, 16540, 2621, 16536, 16533, 16530, 16529, 9405])).
% 50.38/33.00 tff(16608,plain,
% 50.38/33.00 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s2, c_read_h_owned)) | (~m_main_v_CMD(s2, c_write_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s2, c_read_h_owned)) | (~m_main_v_CMD(s2, c_write_h_invalid)))),
% 50.38/33.00 inference(rewrite,[status(thm)],[])).
% 50.38/33.00 tff(16609,plain,
% 50.38/33.00 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s2, c_read_h_owned)) | (~m_main_v_CMD(s2, c_write_h_invalid)))),
% 50.38/33.00 inference(quant_inst,[status(thm)],[])).
% 50.38/33.00 tff(16610,plain,
% 50.38/33.00 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s2, c_read_h_owned)) | (~m_main_v_CMD(s2, c_write_h_invalid))),
% 50.38/33.00 inference(modus_ponens,[status(thm)],[16609, 16608])).
% 50.38/33.00 tff(16611,plain,
% 50.38/33.00 (~m_main_v_CMD(s2, c_write_h_invalid)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16610, 12451, 16466])).
% 50.38/33.00 tff(16612,plain,
% 50.38/33.00 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s2, c_read_h_owned)) | (~m_main_v_CMD(s2, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s2, c_read_h_owned)) | (~m_main_v_CMD(s2, c_write_h_resp_h_shared)))),
% 50.38/33.00 inference(rewrite,[status(thm)],[])).
% 50.38/33.00 tff(16613,plain,
% 50.38/33.00 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s2, c_read_h_owned)) | (~m_main_v_CMD(s2, c_write_h_resp_h_shared)))),
% 50.38/33.00 inference(quant_inst,[status(thm)],[])).
% 50.38/33.00 tff(16614,plain,
% 50.38/33.00 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s2, c_read_h_owned)) | (~m_main_v_CMD(s2, c_write_h_resp_h_shared))),
% 50.38/33.00 inference(modus_ponens,[status(thm)],[16613, 16612])).
% 50.38/33.00 tff(16615,plain,
% 50.38/33.00 (~m_main_v_CMD(s2, c_write_h_resp_h_shared)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16614, 7940, 16466])).
% 50.38/33.00 tff(16616,plain,
% 50.38/33.00 (node8(s2)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[5596, 16607])).
% 50.38/33.00 tff(16617,assumption,(m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.38/33.00 tff(16618,plain,
% 50.38/33.00 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s2, c_write_h_resp_h_shared) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s2, c_write_h_resp_h_shared) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared)))),
% 50.38/33.00 inference(rewrite,[status(thm)],[])).
% 50.38/33.00 tff(16619,plain,
% 50.38/33.00 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s2, c_write_h_resp_h_shared) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared)))),
% 50.38/33.00 inference(quant_inst,[status(thm)],[])).
% 50.38/33.00 tff(16620,plain,
% 50.38/33.00 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s2, c_write_h_resp_h_shared) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared))),
% 50.38/33.00 inference(modus_ponens,[status(thm)],[16619, 16618])).
% 50.38/33.00 tff(16621,plain,
% 50.38/33.00 ($false),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16620, 1669, 9005, 5599, 16617])).
% 50.38/33.00 tff(16622,plain,((~m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared)) | m_main_v_CMD(s2, c_write_h_resp_h_shared) | (~node8(s2))), inference(lemma,lemma(discharge,[]))).
% 50.38/33.00 tff(16623,plain,
% 50.38/33.00 (~m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16622, 16616, 16615])).
% 50.38/33.00 tff(16624,plain,
% 50.38/33.00 (~node64(c_p0, s2)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[11205, 4082, 11362])).
% 50.38/33.00 tff(16625,plain,
% 50.38/33.00 ((~m_processor_v_state(c_p0, s2, c_owned)) | node62(c_p0, s2) | node64(c_p0, s2) | node63(c_p0, s2) | (~m_processor_v_snoop(c_p0, s2, c_shared)) | m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[11224, 7256, 5499])).
% 50.38/33.00 tff(16626,plain,
% 50.38/33.00 (~m_processor_v_snoop(c_p0, s2, c_shared)),
% 50.38/33.00 inference(unit_resolution,[status(thm)],[16625, 11208, 8812, 11213, 11218, 16624])).
% 50.38/33.00 tff(16627,plain,
% 50.38/33.01 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s2, c_write_h_invalid) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s2, c_write_h_invalid) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_write_h_invalid)))),
% 50.38/33.01 inference(rewrite,[status(thm)],[])).
% 50.38/33.01 tff(16628,plain,
% 50.38/33.01 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s2, c_write_h_invalid) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_write_h_invalid)))),
% 50.38/33.01 inference(quant_inst,[status(thm)],[])).
% 50.38/33.01 tff(16629,plain,
% 50.38/33.01 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s2, c_write_h_invalid) | (~node8(s2)) | (~m_processor_v_cmd(c_p0, s2, c_write_h_invalid))),
% 50.38/33.01 inference(modus_ponens,[status(thm)],[16628, 16627])).
% 50.38/33.01 tff(16630,plain,
% 50.38/33.01 (~m_processor_v_cmd(c_p0, s2, c_write_h_invalid)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16629, 1669, 5597, 9006])).
% 50.38/33.01 tff(16631,plain,
% 50.38/33.01 (m_processor_v_snoop(c_p0, s2, c_invalid) | m_processor_v_snoop(c_p0, s2, c_shared)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[10996, 7213, 11362])).
% 50.38/33.01 tff(16632,plain,
% 50.38/33.01 (m_processor_v_snoop(c_p0, s2, c_invalid)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16631, 16626])).
% 50.38/33.01 tff(16633,plain,
% 50.38/33.01 ((~m_processor_v_state(c_p0, s2, c_owned)) | node62(c_p0, s2) | (~m_processor_v_snoop(c_p0, s2, c_invalid)) | m_processor_v_cmd(c_p0, s2, c_write_h_invalid) | node64(c_p0, s2) | node65(c_p0, s2) | node63(c_p0, s2)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[11239, 7232, 5499])).
% 50.38/33.01 tff(16634,plain,
% 50.38/33.01 (node65(c_p0, s2)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16633, 16632, 8812, 11218, 11213, 16624, 16630])).
% 50.38/33.01 tff(16635,plain,
% 50.38/33.01 ($false),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[11229, 4107, 16634, 16626])).
% 50.38/33.01 tff(16636,plain,(m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_snoop(c_p0, s2, c_owned) | m_main_v_CMD(s2, c_write_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.01 tff(16637,plain,
% 50.38/33.01 (m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared) | (~m_processor_v_state(c_p0, s2, c_owned)) | (~m_processor_v_master(c_p0, s2)) | m_main_v_CMD(s2, c_write_h_invalid)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16636, 11202])).
% 50.38/33.01 tff(16638,plain,
% 50.38/33.01 (~m_processor_v_state(c_p0, s2, c_owned)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16637, 16623, 16611, 16607])).
% 50.38/33.01 tff(16639,plain,
% 50.38/33.01 (~m_processor_v_state(c_p0, s2, c_shared)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[2732, 2724, 2723])).
% 50.38/33.01 tff(16640,plain,
% 50.38/33.01 (~m_processor_v_state(c_p0, s2, c_invalid)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[5496, 2724, 2722])).
% 50.38/33.01 tff(16641,plain,
% 50.38/33.01 ($false),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[2708, 153, 2667, 2668, 3847])).
% 50.38/33.01 tff(16642,plain,(m_processor_v_state(c_p0, s2, c_invalid) | m_processor_v_state(c_p0, s2, c_owned) | m_processor_v_state(c_p0, s2, c_shared)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.01 tff(16643,plain,
% 50.38/33.01 ($false),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16642, 16640, 16639, 2667])).
% 50.38/33.01 tff(16644,plain,((~node32(c_p0, s2, s3)) | m_processor_v_state(c_p0, s2, c_owned) | m_processor_v_state(c_p0, s3, c_invalid) | m_processor_v_state(c_p0, s3, c_shared)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.01 tff(16645,plain,
% 50.38/33.01 (~node32(c_p0, s2, s3)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16644, 16638, 16527, 16526])).
% 50.38/33.01 tff(16646,plain,
% 50.38/33.01 (~m_processor_v_abort(c_p0, s2)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[2704, 16645])).
% 50.38/33.01 tff(16647,plain,
% 50.38/33.01 (node67(s3)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[6251, 16465, 104, 5949, 5668, 5932, 5667])).
% 50.38/33.01 tff(16648,plain,
% 50.38/33.01 (m_processor_v_writable(c_p1, s3)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[2604, 16647])).
% 50.38/33.01 tff(16649,plain,
% 50.38/33.01 (node56(c_p1, s3)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[2612, 16648])).
% 50.38/33.01 tff(16650,plain,
% 50.38/33.01 (m_processor_v_state(c_p1, s3, c_owned)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[5664, 16649])).
% 50.38/33.01 tff(16651,plain,
% 50.38/33.01 (m_processor_v_master(c_p1, s3)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16488, 16650, 16462])).
% 50.38/33.01 tff(16652,plain,
% 50.38/33.01 (~node16(s3)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[10569, 3386, 16651])).
% 50.38/33.01 tff(16653,plain,
% 50.38/33.01 (~m_processor_v_master(c_p2, s3)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[9562, 16652])).
% 50.38/33.01 tff(16654,plain,
% 50.38/33.01 (m_processor_v_cmd(c_p2, s3, c_idle)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[9594, 16653])).
% 50.38/33.01 tff(16655,plain,
% 50.38/33.01 (~m_processor_v_master(c_p0, s3)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[9444, 794, 16651])).
% 50.38/33.01 tff(16656,plain,
% 50.38/33.01 (m_processor_v_cmd(c_p0, s3, c_idle)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[10144, 16655])).
% 50.38/33.01 tff(16657,plain,
% 50.38/33.01 (~node17(s3)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[10022, 16651])).
% 50.38/33.01 tff(16658,plain,
% 50.38/33.01 (~m_memory_v_master(c_m, s3)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[9494, 16657])).
% 50.38/33.01 tff(16659,plain,
% 50.38/33.01 (~node29(c_m, s3)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[9502, 16658])).
% 50.38/33.01 tff(16660,plain,
% 50.38/33.01 (m_memory_v_cmd(c_m, s3, c_idle)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[9510, 16659])).
% 50.38/33.01 tff(16661,plain,
% 50.38/33.01 (~m_processor_v_state(c_p1, s3, c_shared)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[5139, 121, 16650])).
% 50.38/33.01 tff(16662,plain,
% 50.38/33.01 (~node63(c_p1, s3)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[10643, 1809, 16661])).
% 50.38/33.01 tff(16663,plain,
% 50.38/33.01 (m_processor_v_snoop(c_p1, s3, c_invalid)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[9812, 5932, 5949, 53, 5668, 5667])).
% 50.38/33.01 tff(16664,plain,
% 50.38/33.01 (~m_processor_v_snoop(c_p1, s3, c_owned)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[12043, 4071, 16663])).
% 50.38/33.01 tff(16665,plain,
% 50.38/33.01 (~node64(c_p1, s3)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[10718, 4082, 16664])).
% 50.38/33.01 tff(16666,plain,
% 50.38/33.01 (~m_processor_v_snoop(c_p1, s3, c_shared)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[12038, 4096, 16663])).
% 50.38/33.01 tff(16667,plain,
% 50.38/33.01 (~node65(c_p1, s3)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[10761, 4107, 16666])).
% 50.38/33.01 tff(16668,plain,
% 50.38/33.01 (~m_processor_v_state(c_p1, s3, c_invalid)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[2620, 137, 16650])).
% 50.38/33.01 tff(16669,plain,
% 50.38/33.01 (~node62(c_p1, s3)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[10639, 1633, 16668])).
% 50.38/33.01 tff(16670,plain,
% 50.38/33.01 ((~m_processor_v_state(c_p1, s3, c_owned)) | node63(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | node62(c_p1, s3) | node65(c_p1, s3) | node64(c_p1, s3)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[10756, 7232, 16663])).
% 50.38/33.01 tff(16671,plain,
% 50.38/33.01 (m_processor_v_cmd(c_p1, s3, c_write_h_invalid)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16670, 16669, 16650, 16651, 16667, 16665, 16662])).
% 50.38/33.01 tff(16672,plain,
% 50.38/33.01 (~m_processor_v_cmd(c_p1, s3, c_idle)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[12098, 3630, 16671])).
% 50.38/33.01 tff(16673,plain,
% 50.38/33.01 (~node9(s3)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[10785, 16672])).
% 50.38/33.01 tff(16674,plain,
% 50.38/33.01 (node10(s3)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[10800, 16673, 16660, 16656, 16654])).
% 50.38/33.01 tff(16675,plain,
% 50.38/33.01 ((~node10(s3)) | m_main_v_CMD(s3, c_write_h_invalid)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[10733, 3481, 16671])).
% 50.38/33.01 tff(16676,plain,
% 50.38/33.01 (m_main_v_CMD(s3, c_write_h_invalid)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16675, 16674])).
% 50.38/33.01 tff(16677,plain,
% 50.38/33.01 (m_processor_v_CMD(c_p1, s3, c_write_h_invalid)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[10629, 16676])).
% 50.38/33.01 tff(16678,plain,
% 50.38/33.01 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s3, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)))),
% 50.38/33.01 inference(rewrite,[status(thm)],[])).
% 50.38/33.01 tff(16679,plain,
% 50.38/33.01 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s3, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)))),
% 50.38/33.01 inference(quant_inst,[status(thm)],[])).
% 50.38/33.01 tff(16680,plain,
% 50.38/33.01 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid))),
% 50.38/33.01 inference(modus_ponens,[status(thm)],[16679, 16678])).
% 50.38/33.01 tff(16681,plain,
% 50.38/33.01 (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16680, 3716, 16671])).
% 50.38/33.01 tff(16682,plain,
% 50.38/33.01 (~m_main_v_CMD(s3, c_read_h_owned)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[10695, 3512, 16674, 16681])).
% 50.38/33.01 tff(16683,plain,
% 50.38/33.01 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[12458, 16682])).
% 50.38/33.01 tff(16684,plain,
% 50.38/33.01 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s3, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p1, s3, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)))),
% 50.38/33.01 inference(rewrite,[status(thm)],[])).
% 50.38/33.01 tff(16685,plain,
% 50.38/33.01 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s3, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)))),
% 50.38/33.01 inference(quant_inst,[status(thm)],[])).
% 50.38/33.01 tff(16686,plain,
% 50.38/33.01 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p1, s3, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid))),
% 50.38/33.01 inference(modus_ponens,[status(thm)],[16685, 16684])).
% 50.38/33.01 tff(16687,plain,
% 50.38/33.01 (~m_processor_v_cmd(c_p1, s3, c_read_h_shared)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16686, 11648, 16671])).
% 50.38/33.01 tff(16688,plain,
% 50.38/33.01 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~node10(s3)) | (~m_main_v_CMD(s3, c_read_h_shared)) | m_processor_v_cmd(c_p1, s3, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s3)) | (~m_main_v_CMD(s3, c_read_h_shared)) | m_processor_v_cmd(c_p1, s3, c_read_h_shared))),
% 50.38/33.01 inference(rewrite,[status(thm)],[])).
% 50.38/33.01 tff(16689,plain,
% 50.38/33.01 (((~m_main_v_CMD(s3, c_read_h_shared)) | (~node10(s3)) | m_processor_v_cmd(c_p1, s3, c_read_h_shared)) <=> ((~node10(s3)) | (~m_main_v_CMD(s3, c_read_h_shared)) | m_processor_v_cmd(c_p1, s3, c_read_h_shared))),
% 50.38/33.01 inference(rewrite,[status(thm)],[])).
% 50.38/33.01 tff(16690,plain,
% 50.38/33.01 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~node10(s3)) | m_processor_v_cmd(c_p1, s3, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~node10(s3)) | (~m_main_v_CMD(s3, c_read_h_shared)) | m_processor_v_cmd(c_p1, s3, c_read_h_shared)))),
% 50.38/33.01 inference(monotonicity,[status(thm)],[16689])).
% 50.38/33.01 tff(16691,plain,
% 50.38/33.01 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~node10(s3)) | m_processor_v_cmd(c_p1, s3, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s3)) | (~m_main_v_CMD(s3, c_read_h_shared)) | m_processor_v_cmd(c_p1, s3, c_read_h_shared))),
% 50.38/33.01 inference(transitivity,[status(thm)],[16690, 16688])).
% 50.38/33.01 tff(16692,plain,
% 50.38/33.01 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~node10(s3)) | m_processor_v_cmd(c_p1, s3, c_read_h_shared))),
% 50.38/33.01 inference(quant_inst,[status(thm)],[])).
% 50.38/33.01 tff(16693,plain,
% 50.38/33.01 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s3)) | (~m_main_v_CMD(s3, c_read_h_shared)) | m_processor_v_cmd(c_p1, s3, c_read_h_shared)),
% 50.38/33.01 inference(modus_ponens,[status(thm)],[16692, 16691])).
% 50.38/33.01 tff(16694,plain,
% 50.38/33.01 (~m_main_v_CMD(s3, c_read_h_shared)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16693, 3512, 16674, 16687])).
% 50.38/33.01 tff(16695,plain,
% 50.38/33.01 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[10595, 16694])).
% 50.38/33.01 tff(16696,plain,
% 50.38/33.01 (~node32(c_p1, s3, s4)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16477, 16650, 16462])).
% 50.38/33.01 tff(16697,plain,
% 50.38/33.01 (~m_processor_v_abort(c_p1, s3)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[6640, 16696])).
% 50.38/33.01 tff(16698,plain,
% 50.38/33.01 (node34(c_p1, s3, s4)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[6720, 16697, 16651])).
% 50.38/33.01 tff(16699,plain,
% 50.38/33.01 (m_processor_v_state(c_p1, s4, c_invalid)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[6848, 6657, 16462])).
% 50.38/33.01 tff(16700,plain,
% 50.38/33.01 (m_processor_v_state(c_p1, s5, c_shared)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[564, 559, 53])).
% 50.38/33.01 tff(16701,assumption,(m_processor_v_state(c_p1, s4, c_invalid)), introduced(assumption)).
% 50.38/33.01 tff(16702,plain,
% 50.38/33.01 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s4, s5)) | (~m_processor_v_state(c_p1, s4, c_invalid)) | m_processor_v_state(c_p1, s5, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~node32(c_p1, s4, s5)) | (~m_processor_v_state(c_p1, s4, c_invalid)) | m_processor_v_state(c_p1, s5, c_invalid))),
% 50.38/33.01 inference(rewrite,[status(thm)],[])).
% 50.38/33.01 tff(16703,plain,
% 50.38/33.01 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s4, s5)) | (~m_processor_v_state(c_p1, s4, c_invalid)) | m_processor_v_state(c_p1, s5, c_invalid))),
% 50.38/33.01 inference(quant_inst,[status(thm)],[])).
% 50.38/33.01 tff(16704,plain,
% 50.38/33.01 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~node32(c_p1, s4, s5)) | (~m_processor_v_state(c_p1, s4, c_invalid)) | m_processor_v_state(c_p1, s5, c_invalid)),
% 50.38/33.01 inference(modus_ponens,[status(thm)],[16703, 16702])).
% 50.38/33.01 tff(16705,plain,
% 50.38/33.01 ($false),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16704, 380, 559, 12544, 16701])).
% 50.38/33.01 tff(16706,plain,((~node32(c_p1, s4, s5)) | m_processor_v_state(c_p1, s5, c_invalid) | (~m_processor_v_state(c_p1, s4, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 50.38/33.01 tff(16707,plain,
% 50.38/33.01 (~node32(c_p1, s4, s5)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16706, 559, 16701])).
% 50.38/33.01 tff(16708,plain,
% 50.38/33.01 (~m_processor_v_abort(c_p1, s4)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[6859, 16707])).
% 50.38/33.01 tff(16709,plain,
% 50.38/33.01 (node37(c_p1, s4, s5)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[6842, 16708, 1439, 6657])).
% 50.38/33.01 tff(16710,plain,
% 50.38/33.01 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s4, c_shared) | (~node37(c_p1, s4, s5)) | (~m_processor_v_state(c_p1, s5, c_shared)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s4, c_shared) | (~node37(c_p1, s4, s5)) | (~m_processor_v_state(c_p1, s5, c_shared)))),
% 50.38/33.01 inference(rewrite,[status(thm)],[])).
% 50.38/33.01 tff(16711,plain,
% 50.38/33.01 ((m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_state(c_p1, s5, c_shared)) | (~node37(c_p1, s4, s5))) <=> (m_processor_v_state(c_p1, s4, c_shared) | (~node37(c_p1, s4, s5)) | (~m_processor_v_state(c_p1, s5, c_shared)))),
% 50.38/33.01 inference(rewrite,[status(thm)],[])).
% 50.38/33.01 tff(16712,plain,
% 50.38/33.01 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_state(c_p1, s5, c_shared)) | (~node37(c_p1, s4, s5)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s4, c_shared) | (~node37(c_p1, s4, s5)) | (~m_processor_v_state(c_p1, s5, c_shared))))),
% 50.38/33.01 inference(monotonicity,[status(thm)],[16711])).
% 50.38/33.01 tff(16713,plain,
% 50.38/33.01 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_state(c_p1, s5, c_shared)) | (~node37(c_p1, s4, s5)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s4, c_shared) | (~node37(c_p1, s4, s5)) | (~m_processor_v_state(c_p1, s5, c_shared)))),
% 50.38/33.01 inference(transitivity,[status(thm)],[16712, 16710])).
% 50.38/33.01 tff(16714,plain,
% 50.38/33.01 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_state(c_p1, s5, c_shared)) | (~node37(c_p1, s4, s5)))),
% 50.38/33.01 inference(quant_inst,[status(thm)],[])).
% 50.38/33.01 tff(16715,plain,
% 50.38/33.01 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s4, c_shared) | (~node37(c_p1, s4, s5)) | (~m_processor_v_state(c_p1, s5, c_shared))),
% 50.38/33.01 inference(modus_ponens,[status(thm)],[16714, 16713])).
% 50.38/33.01 tff(16716,plain,
% 50.38/33.01 ($false),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16715, 182, 6657, 16709, 16700])).
% 50.38/33.01 tff(16717,plain,(m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_master(c_p1, s4) | (~m_processor_v_state(c_p1, s4, c_invalid)) | m_processor_v_state(c_p1, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.01 tff(16718,plain,
% 50.38/33.01 ($false),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16717, 16699, 6657, 559, 1439, 53])).
% 50.38/33.01 tff(16719,plain,(m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_master(c_p1, s4) | m_processor_v_state(c_p1, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.01 tff(16720,plain,
% 50.38/33.01 (m_processor_v_state(c_p1, s4, c_shared)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16719, 1439, 559, 53])).
% 50.38/33.01 tff(16721,plain,
% 50.38/33.01 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p1, s4, c_invalid)) | (~m_processor_v_state(c_p1, s4, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p1, s4, c_invalid)) | (~m_processor_v_state(c_p1, s4, c_shared)))),
% 50.38/33.01 inference(rewrite,[status(thm)],[])).
% 50.38/33.01 tff(16722,plain,
% 50.38/33.01 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p1, s4, c_invalid)) | (~m_processor_v_state(c_p1, s4, c_shared)))),
% 50.38/33.01 inference(quant_inst,[status(thm)],[])).
% 50.38/33.01 tff(16723,plain,
% 50.38/33.01 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p1, s4, c_invalid)) | (~m_processor_v_state(c_p1, s4, c_shared))),
% 50.38/33.01 inference(modus_ponens,[status(thm)],[16722, 16721])).
% 50.38/33.01 tff(16724,plain,
% 50.38/33.01 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16723, 977, 16720])).
% 50.38/33.01 tff(16725,plain,
% 50.38/33.01 (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid))),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[6777, 512, 16724, 16698])).
% 50.38/33.01 tff(16726,plain,
% 50.38/33.01 ($false),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16725, 16695, 16683, 16677])).
% 50.38/33.01 tff(16727,plain,(m_processor_v_master(c_p1, s4) | node67(s9) | node67(s6) | node67(s8) | node67(s7) | m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_state(c_p1, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.01 tff(16728,plain,
% 50.38/33.01 (m_processor_v_state(c_p1, s5, c_invalid)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16727, 1439, 5698, 52, 5949, 6553, 53])).
% 50.38/33.01 tff(16729,plain,
% 50.38/33.01 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p1, s5, c_invalid)) | (~m_processor_v_state(c_p1, s5, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p1, s5, c_invalid)) | (~m_processor_v_state(c_p1, s5, c_shared)))),
% 50.38/33.01 inference(rewrite,[status(thm)],[])).
% 50.38/33.01 tff(16730,plain,
% 50.38/33.01 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p1, s5, c_invalid)) | (~m_processor_v_state(c_p1, s5, c_shared)))),
% 50.38/33.01 inference(quant_inst,[status(thm)],[])).
% 50.38/33.01 tff(16731,plain,
% 50.38/33.01 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p1, s5, c_invalid)) | (~m_processor_v_state(c_p1, s5, c_shared))),
% 50.38/33.01 inference(modus_ponens,[status(thm)],[16730, 16729])).
% 50.38/33.01 tff(16732,plain,
% 50.38/33.01 ($false),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16731, 977, 272, 548])).
% 50.38/33.01 tff(16733,plain,((~m_processor_v_state(c_p1, s5, c_shared)) | (~m_processor_v_state(c_p1, s5, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 50.38/33.01 tff(16734,plain,
% 50.38/33.01 (~m_processor_v_state(c_p1, s5, c_shared)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16733, 548])).
% 50.38/33.01 tff(16735,plain,
% 50.38/33.01 (~node36(c_p1, s5)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[170, 167, 16734])).
% 50.38/33.01 tff(16736,plain,
% 50.38/33.01 (~node37(c_p1, s5, s6)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[602, 182, 16734, 114])).
% 50.38/33.01 tff(16737,plain,
% 50.38/33.01 (m_processor_v_abort(c_p1, s5)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[232, 16736, 142, 16734, 16735])).
% 50.38/33.01 tff(16738,plain,
% 50.38/33.01 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p1, s6, c_invalid)) | (~m_processor_v_state(c_p1, s6, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p1, s6, c_invalid)) | (~m_processor_v_state(c_p1, s6, c_shared)))),
% 50.38/33.01 inference(rewrite,[status(thm)],[])).
% 50.38/33.01 tff(16739,plain,
% 50.38/33.01 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p1, s6, c_invalid)) | (~m_processor_v_state(c_p1, s6, c_shared)))),
% 50.38/33.01 inference(quant_inst,[status(thm)],[])).
% 50.38/33.01 tff(16740,plain,
% 50.38/33.01 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p1, s6, c_invalid)) | (~m_processor_v_state(c_p1, s6, c_shared))),
% 50.38/33.01 inference(modus_ponens,[status(thm)],[16739, 16738])).
% 50.38/33.01 tff(16741,plain,
% 50.38/33.01 (~m_processor_v_state(c_p1, s6, c_invalid)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16740, 977, 114])).
% 50.38/33.01 tff(16742,plain,
% 50.38/33.01 (~node32(c_p1, s5, s6)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[556, 16741, 548])).
% 50.38/33.01 tff(16743,plain,
% 50.38/33.01 ($false),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[250, 16742, 16737])).
% 50.38/33.01 tff(16744,plain,((~m_processor_v_state(c_p1, s6, c_shared)) | (~m_processor_v_state(c_p1, s5, c_invalid)) | m_processor_v_master(c_p1, s5)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.01 tff(16745,plain,
% 50.38/33.01 (m_processor_v_master(c_p1, s5)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16744, 16728, 114])).
% 50.38/33.01 tff(16746,plain,
% 50.38/33.01 (~m_processor_v_master(c_p0, s5)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[797, 794, 16745])).
% 50.38/33.01 tff(16747,plain,
% 50.38/33.01 (~m_processor_v_state(c_p0, s5, c_owned)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[6996, 16746, 5])).
% 50.38/33.01 tff(16748,plain,
% 50.38/33.01 (m_processor_v_master(c_p0, s4)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[6927, 16747, 16528])).
% 50.38/33.01 tff(16749,plain,
% 50.38/33.01 (^[I0: $i, X: $i] : refl(((~m_processor_v_master(I0, X)) | (~node49(I0, X))) <=> ((~m_processor_v_master(I0, X)) | (~node49(I0, X))))),
% 50.38/33.01 inference(bind,[status(th)],[])).
% 50.38/33.01 tff(16750,plain,
% 50.38/33.01 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))),
% 50.38/33.01 inference(quant_intro,[status(thm)],[16749])).
% 50.38/33.01 tff(16751,plain,
% 50.38/33.01 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))),
% 50.38/33.01 inference(rewrite,[status(thm)],[])).
% 50.38/33.01 tff(16752,axiom,(![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_100')).
% 50.38/33.01 tff(16753,plain,
% 50.38/33.01 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))),
% 50.38/33.01 inference(modus_ponens,[status(thm)],[16752, 16751])).
% 50.38/33.01 tff(16754,plain,(
% 50.38/33.01 ![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))),
% 50.38/33.01 inference(skolemize,[status(sab)],[16753])).
% 50.38/33.01 tff(16755,plain,
% 50.38/33.01 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))),
% 50.38/33.01 inference(modus_ponens,[status(thm)],[16754, 16750])).
% 50.38/33.01 tff(16756,plain,
% 50.38/33.01 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | ((~m_processor_v_master(c_p0, s4)) | (~node49(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | (~m_processor_v_master(c_p0, s4)) | (~node49(c_p0, s4)))),
% 50.38/33.01 inference(rewrite,[status(thm)],[])).
% 50.38/33.01 tff(16757,plain,
% 50.38/33.01 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | ((~m_processor_v_master(c_p0, s4)) | (~node49(c_p0, s4)))),
% 50.38/33.01 inference(quant_inst,[status(thm)],[])).
% 50.38/33.01 tff(16758,plain,
% 50.38/33.01 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | (~m_processor_v_master(c_p0, s4)) | (~node49(c_p0, s4))),
% 50.38/33.01 inference(modus_ponens,[status(thm)],[16757, 16756])).
% 50.38/33.01 tff(16759,plain,
% 50.38/33.01 (~node49(c_p0, s4)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16758, 16755, 16748])).
% 50.38/33.01 tff(16760,assumption,(~m_processor_v_cmd(c_p0, s4, c_read_h_shared)), introduced(assumption)).
% 50.38/33.01 tff(16761,plain,
% 50.38/33.01 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s4, c_read_h_shared)) | (~node8(s4)) | m_processor_v_cmd(c_p0, s4, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~m_main_v_CMD(s4, c_read_h_shared)) | (~node8(s4)) | m_processor_v_cmd(c_p0, s4, c_read_h_shared))),
% 50.38/33.01 inference(rewrite,[status(thm)],[])).
% 50.38/33.01 tff(16762,plain,
% 50.38/33.01 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s4, c_read_h_shared)) | (~node8(s4)) | m_processor_v_cmd(c_p0, s4, c_read_h_shared))),
% 50.38/33.01 inference(quant_inst,[status(thm)],[])).
% 50.38/33.01 tff(16763,plain,
% 50.38/33.01 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~m_main_v_CMD(s4, c_read_h_shared)) | (~node8(s4)) | m_processor_v_cmd(c_p0, s4, c_read_h_shared)),
% 50.38/33.01 inference(modus_ponens,[status(thm)],[16762, 16761])).
% 50.38/33.01 tff(16764,plain,
% 50.38/33.01 ($false),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16763, 2191, 16760, 1744, 1207])).
% 50.38/33.01 tff(16765,plain,(m_processor_v_cmd(c_p0, s4, c_read_h_shared) | (~node8(s4)) | (~m_main_v_CMD(s4, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 50.38/33.01 tff(16766,plain,
% 50.38/33.01 (m_processor_v_cmd(c_p0, s4, c_read_h_shared)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16765, 1207, 1743])).
% 50.38/33.01 tff(16767,plain,
% 50.38/33.01 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))) <=> ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))))),
% 50.38/33.01 inference(bind,[status(th)],[])).
% 50.38/33.01 tff(16768,plain,
% 50.38/33.01 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 50.38/33.01 inference(quant_intro,[status(thm)],[16767])).
% 50.38/33.01 tff(16769,plain,
% 50.38/33.01 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 50.38/33.01 inference(rewrite,[status(thm)],[])).
% 50.38/33.01 tff(16770,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_14')).
% 50.38/33.01 tff(16771,plain,
% 50.38/33.01 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 50.38/33.01 inference(modus_ponens,[status(thm)],[16770, 16769])).
% 50.38/33.01 tff(16772,plain,(
% 50.38/33.01 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 50.38/33.01 inference(skolemize,[status(sab)],[16771])).
% 50.38/33.01 tff(16773,plain,
% 50.38/33.01 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 50.38/33.01 inference(modus_ponens,[status(thm)],[16772, 16768])).
% 50.38/33.01 tff(16774,plain,
% 50.38/33.01 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p0, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p0, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared)))),
% 50.38/33.01 inference(rewrite,[status(thm)],[])).
% 50.38/33.01 tff(16775,plain,
% 50.38/33.01 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p0, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared)))),
% 50.38/33.01 inference(quant_inst,[status(thm)],[])).
% 50.38/33.01 tff(16776,plain,
% 50.38/33.01 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p0, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared))),
% 50.38/33.01 inference(modus_ponens,[status(thm)],[16775, 16774])).
% 50.38/33.01 tff(16777,plain,
% 50.38/33.01 (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16776, 16773, 16766])).
% 50.38/33.01 tff(16778,plain,
% 50.38/33.01 (~node62(c_p0, s4)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[1636, 1633, 6880])).
% 50.38/33.01 tff(16779,plain,
% 50.38/33.01 (~node63(c_p0, s4)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[1812, 1809, 6889])).
% 50.38/33.01 tff(16780,plain,
% 50.38/33.01 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p0, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid)))),
% 50.38/33.01 inference(rewrite,[status(thm)],[])).
% 50.38/33.01 tff(16781,plain,
% 50.38/33.01 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid)))),
% 50.38/33.01 inference(quant_inst,[status(thm)],[])).
% 50.38/33.01 tff(16782,plain,
% 50.38/33.01 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p0, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid))),
% 50.38/33.01 inference(modus_ponens,[status(thm)],[16781, 16780])).
% 50.38/33.01 tff(16783,plain,
% 50.38/33.01 (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid)),
% 50.38/33.01 inference(unit_resolution,[status(thm)],[16782, 9153, 16766])).
% 50.38/33.02 tff(16784,plain,
% 50.38/33.02 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | node63(c_p0, s4) | (~m_processor_v_snoop(c_p0, s4, c_owned)) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | node63(c_p0, s4) | (~m_processor_v_snoop(c_p0, s4, c_owned)) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid))),
% 50.38/33.02 inference(rewrite,[status(thm)],[])).
% 50.38/33.02 tff(16785,plain,
% 50.38/33.02 ((m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s4, c_owned)) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | node63(c_p0, s4)) <=> ((~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | node63(c_p0, s4) | (~m_processor_v_snoop(c_p0, s4, c_owned)) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid))),
% 50.38/33.02 inference(rewrite,[status(thm)],[])).
% 50.38/33.02 tff(16786,plain,
% 50.38/33.02 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s4, c_owned)) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | node63(c_p0, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | node63(c_p0, s4) | (~m_processor_v_snoop(c_p0, s4, c_owned)) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid)))),
% 50.38/33.02 inference(monotonicity,[status(thm)],[16785])).
% 50.38/33.02 tff(16787,plain,
% 50.38/33.02 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s4, c_owned)) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | node63(c_p0, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | node63(c_p0, s4) | (~m_processor_v_snoop(c_p0, s4, c_owned)) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid))),
% 50.38/33.02 inference(transitivity,[status(thm)],[16786, 16784])).
% 50.38/33.02 tff(16788,plain,
% 50.38/33.02 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s4, c_owned)) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | node63(c_p0, s4))),
% 50.38/33.02 inference(quant_inst,[status(thm)],[])).
% 50.38/33.02 tff(16789,plain,
% 50.38/33.02 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | node63(c_p0, s4) | (~m_processor_v_snoop(c_p0, s4, c_owned)) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid)),
% 50.38/33.02 inference(modus_ponens,[status(thm)],[16788, 16787])).
% 50.38/33.02 tff(16790,plain,
% 50.38/33.02 (node62(c_p0, s4) | node63(c_p0, s4) | (~m_processor_v_snoop(c_p0, s4, c_owned)) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid)),
% 50.38/33.02 inference(unit_resolution,[status(thm)],[16789, 7172, 1268, 1752])).
% 50.38/33.02 tff(16791,plain,
% 50.38/33.02 (~m_processor_v_snoop(c_p0, s4, c_owned)),
% 50.38/33.02 inference(unit_resolution,[status(thm)],[16790, 16783, 16779, 16778])).
% 50.38/33.02 tff(16792,plain,
% 50.38/33.02 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p0, s4, c_owned) | (~node64(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p0, s4, c_owned) | (~node64(c_p0, s4)))),
% 50.38/33.02 inference(rewrite,[status(thm)],[])).
% 50.38/33.02 tff(16793,plain,
% 50.38/33.02 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p0, s4, c_owned) | (~node64(c_p0, s4)))),
% 50.38/33.02 inference(quant_inst,[status(thm)],[])).
% 50.38/33.02 tff(16794,plain,
% 50.38/33.02 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p0, s4, c_owned) | (~node64(c_p0, s4))),
% 50.38/33.02 inference(modus_ponens,[status(thm)],[16793, 16792])).
% 50.38/33.02 tff(16795,plain,
% 50.38/33.02 (~node64(c_p0, s4)),
% 50.38/33.02 inference(unit_resolution,[status(thm)],[16794, 4082, 16791])).
% 50.38/33.02 tff(16796,plain,
% 50.38/33.02 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s4, c_shared)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s4, c_shared)))),
% 50.38/33.02 inference(rewrite,[status(thm)],[])).
% 50.38/33.02 tff(16797,plain,
% 50.38/33.02 ((m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s4, c_shared)) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4)) <=> ((~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s4, c_shared)))),
% 50.38/33.02 inference(rewrite,[status(thm)],[])).
% 50.38/33.02 tff(16798,plain,
% 50.38/33.02 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s4, c_shared)) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s4, c_shared))))),
% 50.38/33.02 inference(monotonicity,[status(thm)],[16797])).
% 50.38/33.02 tff(16799,plain,
% 50.38/33.02 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s4, c_shared)) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s4, c_shared)))),
% 50.38/33.02 inference(transitivity,[status(thm)],[16798, 16796])).
% 50.38/33.02 tff(16800,plain,
% 50.38/33.02 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s4, c_shared)) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4))),
% 50.38/33.02 inference(quant_inst,[status(thm)],[])).
% 50.38/33.02 tff(16801,plain,
% 50.38/33.02 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s4, c_shared))),
% 50.38/33.02 inference(modus_ponens,[status(thm)],[16800, 16799])).
% 50.38/33.02 tff(16802,plain,
% 50.38/33.02 (node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s4, c_shared))),
% 50.38/33.02 inference(unit_resolution,[status(thm)],[16801, 7256, 1268, 1752])).
% 50.38/33.02 tff(16803,plain,
% 50.38/33.02 (~m_processor_v_snoop(c_p0, s4, c_shared)),
% 50.38/33.02 inference(unit_resolution,[status(thm)],[16802, 16795, 16779, 16778, 16777])).
% 50.38/33.02 tff(16804,plain,
% 50.38/33.02 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_invalid)))),
% 50.38/33.02 inference(rewrite,[status(thm)],[])).
% 50.38/33.02 tff(16805,plain,
% 50.38/33.02 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_invalid)))),
% 50.38/33.02 inference(quant_inst,[status(thm)],[])).
% 50.38/33.02 tff(16806,plain,
% 50.38/33.02 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_invalid))),
% 50.38/33.02 inference(modus_ponens,[status(thm)],[16805, 16804])).
% 50.38/33.02 tff(16807,plain,
% 50.38/33.02 (~m_processor_v_cmd(c_p0, s4, c_write_h_invalid)),
% 50.38/33.02 inference(unit_resolution,[status(thm)],[16806, 11648, 16766])).
% 50.38/33.02 tff(16808,assumption,(node12(s4)), introduced(assumption)).
% 50.38/33.02 tff(16809,plain,
% 50.38/33.02 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_read_h_shared)))),
% 50.38/33.02 inference(rewrite,[status(thm)],[])).
% 50.38/33.02 tff(16810,plain,
% 50.38/33.02 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_read_h_shared)))),
% 50.38/33.02 inference(quant_inst,[status(thm)],[])).
% 50.38/33.02 tff(16811,plain,
% 50.38/33.02 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_read_h_shared))),
% 50.38/33.02 inference(modus_ponens,[status(thm)],[16810, 16809])).
% 50.38/33.02 tff(16812,plain,
% 50.38/33.02 (~m_processor_v_cmd(c_p0, s4, c_read_h_shared)),
% 50.38/33.02 inference(unit_resolution,[status(thm)],[16811, 3200, 1792])).
% 50.38/33.02 tff(16813,plain,
% 50.38/33.02 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s4, c_read_h_shared)) | (~node12(s4)) | m_processor_v_cmd(c_p0, s4, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~m_main_v_CMD(s4, c_read_h_shared)) | (~node12(s4)) | m_processor_v_cmd(c_p0, s4, c_read_h_shared))),
% 50.38/33.02 inference(rewrite,[status(thm)],[])).
% 50.38/33.02 tff(16814,plain,
% 50.38/33.02 (((~m_main_v_CMD(s4, c_read_h_shared)) | m_processor_v_cmd(c_p0, s4, c_read_h_shared) | (~node12(s4))) <=> ((~m_main_v_CMD(s4, c_read_h_shared)) | (~node12(s4)) | m_processor_v_cmd(c_p0, s4, c_read_h_shared))),
% 50.38/33.02 inference(rewrite,[status(thm)],[])).
% 50.38/33.02 tff(16815,plain,
% 50.38/33.02 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s4, c_read_h_shared)) | m_processor_v_cmd(c_p0, s4, c_read_h_shared) | (~node12(s4)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s4, c_read_h_shared)) | (~node12(s4)) | m_processor_v_cmd(c_p0, s4, c_read_h_shared)))),
% 50.38/33.02 inference(monotonicity,[status(thm)],[16814])).
% 50.38/33.02 tff(16816,plain,
% 50.38/33.02 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s4, c_read_h_shared)) | m_processor_v_cmd(c_p0, s4, c_read_h_shared) | (~node12(s4)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~m_main_v_CMD(s4, c_read_h_shared)) | (~node12(s4)) | m_processor_v_cmd(c_p0, s4, c_read_h_shared))),
% 50.38/33.02 inference(transitivity,[status(thm)],[16815, 16813])).
% 50.38/33.02 tff(16817,plain,
% 50.38/33.02 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s4, c_read_h_shared)) | m_processor_v_cmd(c_p0, s4, c_read_h_shared) | (~node12(s4)))),
% 50.38/33.02 inference(quant_inst,[status(thm)],[])).
% 50.38/33.02 tff(16818,plain,
% 50.38/33.02 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~m_main_v_CMD(s4, c_read_h_shared)) | (~node12(s4)) | m_processor_v_cmd(c_p0, s4, c_read_h_shared)),
% 50.38/33.02 inference(modus_ponens,[status(thm)],[16817, 16816])).
% 50.38/33.02 tff(16819,plain,
% 50.38/33.02 ($false),
% 50.38/33.02 inference(unit_resolution,[status(thm)],[16818, 3644, 16812, 1207, 16808])).
% 50.38/33.02 tff(16820,plain,((~node12(s4)) | (~m_main_v_CMD(s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s4, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.38/33.02 tff(16821,plain,
% 50.38/33.02 (~node12(s4)),
% 50.38/33.02 inference(unit_resolution,[status(thm)],[16820, 1792, 1207])).
% 50.38/33.02 tff(16822,assumption,(~node12(s4)), introduced(assumption)).
% 50.38/33.02 tff(16823,plain,
% 50.38/33.02 (~node9(s4)),
% 50.38/33.02 inference(unit_resolution,[status(thm)],[2149, 2146, 1573])).
% 50.38/33.02 tff(16824,plain,
% 50.38/33.02 (~node11(s4)),
% 50.38/33.02 inference(unit_resolution,[status(thm)],[2160, 2157, 1573])).
% 50.38/33.02 tff(16825,plain,
% 50.38/33.02 ($false),
% 50.38/33.02 inference(unit_resolution,[status(thm)],[2178, 16824, 16823, 1519, 1792, 16822])).
% 50.38/33.02 tff(16826,plain,(m_processor_v_cmd(c_p2, s4, c_idle) | (~m_memory_v_cmd(c_m, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | node12(s4) | (~m_processor_v_cmd(c_p1, s4, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.38/33.02 tff(16827,plain,
% 50.38/33.02 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 50.38/33.02 inference(unit_resolution,[status(thm)],[16826, 1792, 1519, 16821, 1620])).
% 50.38/33.02 tff(16828,plain,
% 50.38/33.02 (node8(s4)),
% 50.38/33.02 inference(unit_resolution,[status(thm)],[1678, 16827, 1519])).
% 50.38/33.02 tff(16829,plain,
% 50.38/33.02 ($false),
% 50.38/33.02 inference(unit_resolution,[status(thm)],[16763, 2191, 16812, 16828, 1207])).
% 50.38/33.02 tff(16830,plain,((~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_main_v_CMD(s4, c_read_h_shared)) | (~m_memory_v_cmd(c_m, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.38/33.02 tff(16831,plain,
% 50.38/33.02 (~m_processor_v_cmd(c_p0, s4, c_idle)),
% 50.38/33.02 inference(unit_resolution,[status(thm)],[16830, 1207, 1738, 1742])).
% 50.38/33.02 tff(16832,assumption,(~node64(c_p0, s4)), introduced(assumption)).
% 50.38/33.02 tff(16833,assumption,(~node65(c_p0, s4)), introduced(assumption)).
% 50.38/33.02 tff(16834,assumption,(~node63(c_p0, s4)), introduced(assumption)).
% 50.38/33.02 tff(16835,plain,
% 50.38/33.02 (node65(c_p0, s4) | node64(c_p0, s4) | m_processor_v_cmd(c_p0, s4, c_idle) | node66(c_p0, s4)),
% 50.38/33.02 inference(unit_resolution,[status(thm)],[1819, 1508, 1640, 16834])).
% 50.38/33.02 tff(16836,plain,
% 50.38/33.02 (node66(c_p0, s4)),
% 50.38/33.02 inference(unit_resolution,[status(thm)],[16835, 16833, 12613, 16832])).
% 50.38/33.02 tff(16837,assumption,(~m_processor_v_cmd(c_p0, s4, c_write_h_invalid)), introduced(assumption)).
% 50.38/33.02 tff(16838,plain,
% 50.38/33.02 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_cmd(c_p0, s4, c_write_h_invalid) | (~m_processor_v_master(c_p0, s4)) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | node65(c_p0, s4) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_cmd(c_p0, s4, c_write_h_invalid) | (~m_processor_v_master(c_p0, s4)) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | node65(c_p0, s4) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4))),
% 50.38/33.02 inference(rewrite,[status(thm)],[])).
% 50.38/33.02 tff(16839,plain,
% 50.38/33.02 ((m_processor_v_cmd(c_p0, s4, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4) | node65(c_p0, s4)) <=> ((~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_cmd(c_p0, s4, c_write_h_invalid) | (~m_processor_v_master(c_p0, s4)) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | node65(c_p0, s4) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4))),
% 50.38/33.02 inference(rewrite,[status(thm)],[])).
% 50.38/33.02 tff(16840,plain,
% 50.38/33.02 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p0, s4, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4) | node65(c_p0, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_cmd(c_p0, s4, c_write_h_invalid) | (~m_processor_v_master(c_p0, s4)) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | node65(c_p0, s4) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4)))),
% 50.38/33.02 inference(monotonicity,[status(thm)],[16839])).
% 50.38/33.02 tff(16841,plain,
% 50.38/33.02 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p0, s4, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4) | node65(c_p0, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_cmd(c_p0, s4, c_write_h_invalid) | (~m_processor_v_master(c_p0, s4)) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | node65(c_p0, s4) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4))),
% 50.38/33.02 inference(transitivity,[status(thm)],[16840, 16838])).
% 50.38/33.02 tff(16842,plain,
% 50.38/33.02 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p0, s4, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_master(c_p0, s4)) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4) | node65(c_p0, s4))),
% 50.38/33.02 inference(quant_inst,[status(thm)],[])).
% 50.38/33.02 tff(16843,plain,
% 50.38/33.02 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_cmd(c_p0, s4, c_write_h_invalid) | (~m_processor_v_master(c_p0, s4)) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | node65(c_p0, s4) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4)),
% 50.38/33.02 inference(modus_ponens,[status(thm)],[16842, 16841])).
% 50.38/33.02 tff(16844,plain,
% 50.38/33.02 (m_processor_v_cmd(c_p0, s4, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | node65(c_p0, s4) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4)),
% 50.38/33.02 inference(unit_resolution,[status(thm)],[16843, 7232, 1268, 1752])).
% 50.38/33.02 tff(16845,plain,
% 50.38/33.02 (~m_processor_v_snoop(c_p0, s4, c_invalid)),
% 50.38/33.02 inference(unit_resolution,[status(thm)],[16844, 16833, 16834, 1640, 16832, 16837])).
% 50.38/33.02 tff(16846,plain,
% 50.38/33.02 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | (m_processor_v_snoop(c_p0, s4, c_invalid) | (~node66(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | m_processor_v_snoop(c_p0, s4, c_invalid) | (~node66(c_p0, s4)))),
% 50.38/33.02 inference(rewrite,[status(thm)],[])).
% 50.38/33.02 tff(16847,plain,
% 50.38/33.02 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | (m_processor_v_snoop(c_p0, s4, c_invalid) | (~node66(c_p0, s4)))),
% 50.38/33.02 inference(quant_inst,[status(thm)],[])).
% 50.38/33.02 tff(16848,plain,
% 50.38/33.02 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | m_processor_v_snoop(c_p0, s4, c_invalid) | (~node66(c_p0, s4))),
% 50.38/33.02 inference(modus_ponens,[status(thm)],[16847, 16846])).
% 50.38/33.02 tff(16849,plain,
% 50.38/33.02 ($false),
% 50.38/33.02 inference(unit_resolution,[status(thm)],[16848, 9118, 16845, 16836])).
% 50.38/33.02 tff(16850,plain,(node65(c_p0, s4) | node63(c_p0, s4) | node62(c_p0, s4) | node64(c_p0, s4) | m_processor_v_cmd(c_p0, s4, c_write_h_invalid) | (~m_processor_v_master(c_p0, s4)) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_cmd(c_p0, s4, c_idle)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.02 tff(16851,plain,
% 50.38/33.02 (node65(c_p0, s4)),
% 50.38/33.02 inference(unit_resolution,[status(thm)],[16850, 16795, 1752, 16831, 16807, 1268, 16778, 16779])).
% 50.38/33.03 tff(16852,plain,
% 50.38/33.03 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p0, s4, c_shared) | (~node65(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p0, s4, c_shared) | (~node65(c_p0, s4)))),
% 50.38/33.03 inference(rewrite,[status(thm)],[])).
% 50.38/33.03 tff(16853,plain,
% 50.38/33.03 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p0, s4, c_shared) | (~node65(c_p0, s4)))),
% 50.38/33.03 inference(quant_inst,[status(thm)],[])).
% 50.38/33.03 tff(16854,plain,
% 50.38/33.03 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p0, s4, c_shared) | (~node65(c_p0, s4))),
% 50.38/33.03 inference(modus_ponens,[status(thm)],[16853, 16852])).
% 50.38/33.03 tff(16855,plain,
% 50.38/33.03 ($false),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[16854, 4107, 16851, 16803])).
% 50.38/33.03 tff(16856,plain,((~m_main_v_CMD(s4, c_read_h_shared)) | (~m_processor_v_master(c_p0, s4)) | (~m_processor_v_state(c_p0, s4, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.38/33.03 tff(16857,plain,
% 50.38/33.03 (~m_main_v_CMD(s4, c_read_h_shared)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[16856, 16748, 16528])).
% 50.38/33.03 tff(16858,plain,
% 50.38/33.03 (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[1617, 16857])).
% 50.38/33.03 tff(16859,plain,
% 50.38/33.03 (~node47(c_p0, s4)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[1337, 657, 16858])).
% 50.38/33.03 tff(16860,plain,
% 50.38/33.03 (^[I0: $i, X: $i] : refl(((~m_processor_v_master(I0, X)) | (~node50(I0, X))) <=> ((~m_processor_v_master(I0, X)) | (~node50(I0, X))))),
% 50.38/33.03 inference(bind,[status(th)],[])).
% 50.38/33.03 tff(16861,plain,
% 50.38/33.03 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))),
% 50.38/33.03 inference(quant_intro,[status(thm)],[16860])).
% 50.38/33.03 tff(16862,plain,
% 50.38/33.03 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))),
% 50.38/33.03 inference(rewrite,[status(thm)],[])).
% 50.38/33.03 tff(16863,axiom,(![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_102')).
% 50.38/33.03 tff(16864,plain,
% 50.38/33.03 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))),
% 50.38/33.03 inference(modus_ponens,[status(thm)],[16863, 16862])).
% 50.38/33.03 tff(16865,plain,(
% 50.38/33.03 ![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))),
% 50.38/33.03 inference(skolemize,[status(sab)],[16864])).
% 50.38/33.03 tff(16866,plain,
% 50.38/33.03 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))),
% 50.38/33.03 inference(modus_ponens,[status(thm)],[16865, 16861])).
% 50.38/33.03 tff(16867,plain,
% 50.38/33.03 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | ((~m_processor_v_master(c_p0, s4)) | (~node50(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | (~m_processor_v_master(c_p0, s4)) | (~node50(c_p0, s4)))),
% 50.38/33.03 inference(rewrite,[status(thm)],[])).
% 50.38/33.03 tff(16868,plain,
% 50.38/33.03 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | ((~m_processor_v_master(c_p0, s4)) | (~node50(c_p0, s4)))),
% 50.38/33.03 inference(quant_inst,[status(thm)],[])).
% 50.38/33.03 tff(16869,plain,
% 50.38/33.03 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | (~m_processor_v_master(c_p0, s4)) | (~node50(c_p0, s4))),
% 50.38/33.03 inference(modus_ponens,[status(thm)],[16868, 16867])).
% 50.38/33.03 tff(16870,plain,
% 50.38/33.03 (~node50(c_p0, s4)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[16869, 16866, 16748])).
% 50.38/33.03 tff(16871,plain,
% 50.38/33.03 ($false),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[6914, 380, 1752, 1074, 799])).
% 50.38/33.03 tff(16872,plain,((~node32(c_p0, s4, s5)) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_state(c_p0, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.03 tff(16873,plain,
% 50.38/33.03 (~node32(c_p0, s4, s5)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[16872, 16747, 16528])).
% 50.38/33.03 tff(16874,plain,
% 50.38/33.03 (~m_processor_v_abort(c_p0, s4)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[1124, 16873])).
% 50.38/33.03 tff(16875,plain,
% 50.38/33.03 (node34(c_p0, s4, s5)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[1333, 16874, 16748])).
% 50.38/33.03 tff(16876,plain,
% 50.38/33.03 (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[1872, 16875, 16747, 16858])).
% 50.38/33.03 tff(16877,plain,
% 50.38/33.03 (^[I0: $i, X: $i] : refl((m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X))) <=> (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X))))),
% 50.38/33.03 inference(bind,[status(th)],[])).
% 50.38/33.03 tff(16878,plain,
% 50.38/33.03 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))),
% 50.38/33.03 inference(quant_intro,[status(thm)],[16877])).
% 50.38/33.03 tff(16879,plain,
% 50.38/33.03 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))),
% 50.38/33.03 inference(rewrite,[status(thm)],[])).
% 50.38/33.03 tff(16880,axiom,(![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_99')).
% 50.38/33.03 tff(16881,plain,
% 50.38/33.03 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))),
% 50.38/33.03 inference(modus_ponens,[status(thm)],[16880, 16879])).
% 50.38/33.03 tff(16882,plain,(
% 50.38/33.03 ![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))),
% 50.38/33.03 inference(skolemize,[status(sab)],[16881])).
% 50.38/33.03 tff(16883,plain,
% 50.38/33.03 (![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))),
% 50.38/33.03 inference(modus_ponens,[status(thm)],[16882, 16878])).
% 50.38/33.03 tff(16884,plain,
% 50.38/33.03 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p0, s4, c_read_h_owned) | (~node48(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | (~node48(c_p0, s4)))),
% 50.38/33.03 inference(rewrite,[status(thm)],[])).
% 50.38/33.03 tff(16885,plain,
% 50.38/33.03 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p0, s4, c_read_h_owned) | (~node48(c_p0, s4)))),
% 50.38/33.03 inference(quant_inst,[status(thm)],[])).
% 50.38/33.03 tff(16886,plain,
% 50.38/33.03 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | (~node48(c_p0, s4))),
% 50.38/33.03 inference(modus_ponens,[status(thm)],[16885, 16884])).
% 50.38/33.03 tff(16887,plain,
% 50.38/33.03 (~node48(c_p0, s4)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[16886, 16883, 16876])).
% 50.38/33.03 tff(16888,plain,
% 50.38/33.03 (^[I0: $i, X: $i] : refl(((~m_processor_v_master(I0, X)) | (~node51(I0, X))) <=> ((~m_processor_v_master(I0, X)) | (~node51(I0, X))))),
% 50.38/33.03 inference(bind,[status(th)],[])).
% 50.38/33.03 tff(16889,plain,
% 50.38/33.03 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))),
% 50.38/33.03 inference(quant_intro,[status(thm)],[16888])).
% 50.38/33.03 tff(16890,plain,
% 50.38/33.03 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))),
% 50.38/33.03 inference(rewrite,[status(thm)],[])).
% 50.38/33.03 tff(16891,axiom,(![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_104')).
% 50.38/33.03 tff(16892,plain,
% 50.38/33.03 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))),
% 50.38/33.03 inference(modus_ponens,[status(thm)],[16891, 16890])).
% 50.38/33.03 tff(16893,plain,(
% 50.38/33.03 ![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))),
% 50.38/33.03 inference(skolemize,[status(sab)],[16892])).
% 50.38/33.03 tff(16894,plain,
% 50.38/33.03 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))),
% 50.38/33.03 inference(modus_ponens,[status(thm)],[16893, 16889])).
% 50.38/33.03 tff(16895,plain,
% 50.38/33.03 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | ((~m_processor_v_master(c_p0, s4)) | (~node51(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | (~m_processor_v_master(c_p0, s4)) | (~node51(c_p0, s4)))),
% 50.38/33.03 inference(rewrite,[status(thm)],[])).
% 50.38/33.03 tff(16896,plain,
% 50.38/33.03 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | ((~m_processor_v_master(c_p0, s4)) | (~node51(c_p0, s4)))),
% 50.38/33.03 inference(quant_inst,[status(thm)],[])).
% 50.38/33.03 tff(16897,plain,
% 50.38/33.03 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | (~m_processor_v_master(c_p0, s4)) | (~node51(c_p0, s4))),
% 50.38/33.03 inference(modus_ponens,[status(thm)],[16896, 16895])).
% 50.38/33.03 tff(16898,plain,
% 50.38/33.03 (~node51(c_p0, s4)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[16897, 16894, 16748])).
% 50.38/33.03 tff(16899,plain,
% 50.38/33.03 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s4) | node51(c_p0, s4) | node50(c_p0, s4) | node49(c_p0, s4) | node48(c_p0, s4) | node47(c_p0, s4) | (~node53(c_p0, s4, s5)) | node52(c_p0, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p0, s4) | node51(c_p0, s4) | node50(c_p0, s4) | node49(c_p0, s4) | node48(c_p0, s4) | node47(c_p0, s4) | (~node53(c_p0, s4, s5)) | node52(c_p0, s4, s5))),
% 50.38/33.03 inference(rewrite,[status(thm)],[])).
% 50.38/33.03 tff(16900,plain,
% 50.38/33.03 ((m_processor_v_abort(c_p0, s4) | node47(c_p0, s4) | node48(c_p0, s4) | node49(c_p0, s4) | node50(c_p0, s4) | node51(c_p0, s4) | node52(c_p0, s4, s5) | (~node53(c_p0, s4, s5))) <=> (m_processor_v_abort(c_p0, s4) | node51(c_p0, s4) | node50(c_p0, s4) | node49(c_p0, s4) | node48(c_p0, s4) | node47(c_p0, s4) | (~node53(c_p0, s4, s5)) | node52(c_p0, s4, s5))),
% 50.38/33.03 inference(rewrite,[status(thm)],[])).
% 50.38/33.03 tff(16901,plain,
% 50.38/33.03 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s4) | node47(c_p0, s4) | node48(c_p0, s4) | node49(c_p0, s4) | node50(c_p0, s4) | node51(c_p0, s4) | node52(c_p0, s4, s5) | (~node53(c_p0, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s4) | node51(c_p0, s4) | node50(c_p0, s4) | node49(c_p0, s4) | node48(c_p0, s4) | node47(c_p0, s4) | (~node53(c_p0, s4, s5)) | node52(c_p0, s4, s5)))),
% 50.38/33.03 inference(monotonicity,[status(thm)],[16900])).
% 50.38/33.03 tff(16902,plain,
% 50.38/33.03 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s4) | node47(c_p0, s4) | node48(c_p0, s4) | node49(c_p0, s4) | node50(c_p0, s4) | node51(c_p0, s4) | node52(c_p0, s4, s5) | (~node53(c_p0, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p0, s4) | node51(c_p0, s4) | node50(c_p0, s4) | node49(c_p0, s4) | node48(c_p0, s4) | node47(c_p0, s4) | (~node53(c_p0, s4, s5)) | node52(c_p0, s4, s5))),
% 50.38/33.03 inference(transitivity,[status(thm)],[16901, 16899])).
% 50.38/33.03 tff(16903,plain,
% 50.38/33.03 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s4) | node47(c_p0, s4) | node48(c_p0, s4) | node49(c_p0, s4) | node50(c_p0, s4) | node51(c_p0, s4) | node52(c_p0, s4, s5) | (~node53(c_p0, s4, s5)))),
% 50.38/33.03 inference(quant_inst,[status(thm)],[])).
% 50.38/33.03 tff(16904,plain,
% 50.38/33.03 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p0, s4) | node51(c_p0, s4) | node50(c_p0, s4) | node49(c_p0, s4) | node48(c_p0, s4) | node47(c_p0, s4) | (~node53(c_p0, s4, s5)) | node52(c_p0, s4, s5)),
% 50.38/33.03 inference(modus_ponens,[status(thm)],[16903, 16902])).
% 50.38/33.03 tff(16905,plain,
% 50.38/33.03 (m_processor_v_abort(c_p0, s4) | node51(c_p0, s4) | node50(c_p0, s4) | node49(c_p0, s4) | node48(c_p0, s4) | node47(c_p0, s4) | node52(c_p0, s4, s5)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[16904, 11612, 1197])).
% 50.38/33.03 tff(16906,plain,
% 50.38/33.03 (node52(c_p0, s4, s5)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[16905, 16898, 16887, 16874, 16870, 16859, 16759])).
% 50.38/33.03 tff(16907,plain,
% 50.38/33.03 (~node32(c_p1, s5, s6)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[556, 16728, 16741])).
% 50.38/33.03 tff(16908,plain,
% 50.38/33.03 (~m_processor_v_abort(c_p1, s5)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[250, 16907])).
% 50.38/33.03 tff(16909,plain,
% 50.38/33.03 (node60(c_p1, s5)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[698, 16908])).
% 50.38/33.03 tff(16910,plain,
% 50.38/33.03 (~m_processor_v_state(c_p1, s5, c_shared)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[16733, 16728])).
% 50.38/33.03 tff(16911,plain,
% 50.38/33.03 (node34(c_p1, s5, s6)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[614, 16910, 53, 16741])).
% 50.38/33.03 tff(16912,plain,
% 50.38/33.03 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p1, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_owned)))),
% 50.38/33.03 inference(rewrite,[status(thm)],[])).
% 50.38/33.03 tff(16913,plain,
% 50.38/33.03 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p1, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_owned)))),
% 50.38/33.03 inference(quant_inst,[status(thm)],[])).
% 50.38/33.03 tff(16914,plain,
% 50.38/33.03 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_owned))),
% 50.38/33.03 inference(modus_ponens,[status(thm)],[16913, 16912])).
% 50.38/33.03 tff(16915,plain,
% 50.38/33.03 (~m_processor_v_cmd(c_p1, s5, c_read_h_owned)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[16914, 3189, 7146])).
% 50.38/33.03 tff(16916,plain,
% 50.38/33.03 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p1, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_shared)))),
% 50.38/33.03 inference(rewrite,[status(thm)],[])).
% 50.38/33.03 tff(16917,plain,
% 50.38/33.03 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p1, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_shared)))),
% 50.38/33.03 inference(quant_inst,[status(thm)],[])).
% 50.38/33.03 tff(16918,plain,
% 50.38/33.03 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_shared))),
% 50.38/33.03 inference(modus_ponens,[status(thm)],[16917, 16916])).
% 50.38/33.03 tff(16919,plain,
% 50.38/33.03 (~m_processor_v_cmd(c_p1, s5, c_read_h_shared)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[16918, 3200, 7146])).
% 50.38/33.03 tff(16920,plain,
% 50.38/33.03 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p1, s5)) | (~m_processor_v_state(c_p1, s5, c_invalid)) | m_processor_v_cmd(c_p1, s5, c_read_h_shared) | m_processor_v_cmd(c_p1, s5, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s5)) | (~m_processor_v_state(c_p1, s5, c_invalid)) | m_processor_v_cmd(c_p1, s5, c_read_h_shared) | m_processor_v_cmd(c_p1, s5, c_read_h_owned))),
% 50.38/33.03 inference(rewrite,[status(thm)],[])).
% 50.38/33.03 tff(16921,plain,
% 50.38/33.03 ((m_processor_v_cmd(c_p1, s5, c_read_h_owned) | m_processor_v_cmd(c_p1, s5, c_read_h_shared) | (~m_processor_v_state(c_p1, s5, c_invalid)) | (~m_processor_v_master(c_p1, s5))) <=> ((~m_processor_v_master(c_p1, s5)) | (~m_processor_v_state(c_p1, s5, c_invalid)) | m_processor_v_cmd(c_p1, s5, c_read_h_shared) | m_processor_v_cmd(c_p1, s5, c_read_h_owned))),
% 50.38/33.03 inference(rewrite,[status(thm)],[])).
% 50.38/33.03 tff(16922,plain,
% 50.38/33.03 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s5, c_read_h_owned) | m_processor_v_cmd(c_p1, s5, c_read_h_shared) | (~m_processor_v_state(c_p1, s5, c_invalid)) | (~m_processor_v_master(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p1, s5)) | (~m_processor_v_state(c_p1, s5, c_invalid)) | m_processor_v_cmd(c_p1, s5, c_read_h_shared) | m_processor_v_cmd(c_p1, s5, c_read_h_owned)))),
% 50.38/33.03 inference(monotonicity,[status(thm)],[16921])).
% 50.38/33.03 tff(16923,plain,
% 50.38/33.03 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s5, c_read_h_owned) | m_processor_v_cmd(c_p1, s5, c_read_h_shared) | (~m_processor_v_state(c_p1, s5, c_invalid)) | (~m_processor_v_master(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s5)) | (~m_processor_v_state(c_p1, s5, c_invalid)) | m_processor_v_cmd(c_p1, s5, c_read_h_shared) | m_processor_v_cmd(c_p1, s5, c_read_h_owned))),
% 50.38/33.03 inference(transitivity,[status(thm)],[16922, 16920])).
% 50.38/33.03 tff(16924,plain,
% 50.38/33.03 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s5, c_read_h_owned) | m_processor_v_cmd(c_p1, s5, c_read_h_shared) | (~m_processor_v_state(c_p1, s5, c_invalid)) | (~m_processor_v_master(c_p1, s5)))),
% 50.38/33.03 inference(quant_inst,[status(thm)],[])).
% 50.38/33.03 tff(16925,plain,
% 50.38/33.03 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s5)) | (~m_processor_v_state(c_p1, s5, c_invalid)) | m_processor_v_cmd(c_p1, s5, c_read_h_shared) | m_processor_v_cmd(c_p1, s5, c_read_h_owned)),
% 50.38/33.03 inference(modus_ponens,[status(thm)],[16924, 16923])).
% 50.38/33.03 tff(16926,plain,
% 50.38/33.03 ((~m_processor_v_master(c_p1, s5)) | m_processor_v_cmd(c_p1, s5, c_read_h_shared) | m_processor_v_cmd(c_p1, s5, c_read_h_owned)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[16925, 1835, 548])).
% 50.38/33.03 tff(16927,plain,
% 50.38/33.03 ($false),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[16926, 16919, 16915, 13590])).
% 50.38/33.03 tff(16928,plain,((~m_processor_v_cmd(c_p1, s5, c_idle)) | (~m_processor_v_master(c_p1, s5)) | (~m_processor_v_state(c_p1, s5, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 50.38/33.03 tff(16929,plain,
% 50.38/33.03 (~m_processor_v_cmd(c_p1, s5, c_idle)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[16928, 13590, 548])).
% 50.38/33.03 tff(16930,plain,
% 50.38/33.03 (~node9(s5)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[13958, 3443, 16929])).
% 50.38/33.03 tff(16931,plain,
% 50.38/33.03 (~node17(s5)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[13593, 3344, 13590])).
% 50.38/33.03 tff(16932,plain,
% 50.38/33.03 (~m_memory_v_master(c_m, s5)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[13600, 16931])).
% 50.38/33.03 tff(16933,plain,
% 50.38/33.03 (~node29(c_m, s5)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[7136, 16932])).
% 50.38/33.03 tff(16934,plain,
% 50.38/33.03 (m_memory_v_cmd(c_m, s5, c_idle)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[7144, 16933])).
% 50.38/33.03 tff(16935,plain,
% 50.38/33.03 (~m_processor_v_master(c_p0, s5)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[797, 794, 13590])).
% 50.38/33.03 tff(16936,plain,
% 50.38/33.03 (~node63(c_p0, s5)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[13629, 1469, 16935])).
% 50.38/33.03 tff(16937,plain,
% 50.38/33.03 (~node62(c_p0, s5)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[13633, 1493, 16935])).
% 50.38/33.03 tff(16938,plain,
% 50.38/33.03 (m_processor_v_cmd(c_p0, s5, c_idle)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[13655, 16937, 16935, 16936])).
% 50.38/33.03 tff(16939,plain,
% 50.38/33.03 (~node16(s5)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[13949, 3386, 13590])).
% 50.38/33.03 tff(16940,plain,
% 50.38/33.03 (~m_processor_v_master(c_p2, s5)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[13953, 16939])).
% 50.38/33.03 tff(16941,plain,
% 50.38/33.03 (m_processor_v_cmd(c_p2, s5, c_idle)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[7120, 16940])).
% 50.38/33.03 tff(16942,plain,
% 50.38/33.03 (node9(s5) | node10(s5)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[13968, 3461, 16941, 16938, 16934])).
% 50.38/33.03 tff(16943,plain,
% 50.38/33.03 (node10(s5)),
% 50.38/33.03 inference(unit_resolution,[status(thm)],[16942, 16930])).
% 50.38/33.03 tff(16944,plain,
% 50.38/33.03 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_owned) | (~node34(c_p1, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_owned) | (~node34(c_p1, s5, s6)))),
% 50.38/33.03 inference(rewrite,[status(thm)],[])).
% 50.38/33.03 tff(16945,plain,
% 50.38/33.03 (((~node34(c_p1, s5, s6)) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_owned) | (~m_processor_v_CMD(c_p1, s5, c_read_h_owned))) <=> ((~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_owned) | (~node34(c_p1, s5, s6)))),
% 50.38/33.03 inference(rewrite,[status(thm)],[])).
% 50.38/33.03 tff(16946,plain,
% 50.38/33.03 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p1, s5, s6)) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_owned) | (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_owned) | (~node34(c_p1, s5, s6))))),
% 50.38/33.03 inference(monotonicity,[status(thm)],[16945])).
% 50.38/33.03 tff(16947,plain,
% 50.38/33.03 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p1, s5, s6)) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_owned) | (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_owned) | (~node34(c_p1, s5, s6)))),
% 50.38/33.03 inference(transitivity,[status(thm)],[16946, 16944])).
% 50.38/33.03 tff(16948,plain,
% 50.38/33.03 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p1, s5, s6)) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_owned) | (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)))),
% 50.38/33.04 inference(quant_inst,[status(thm)],[])).
% 50.38/33.04 tff(16949,plain,
% 50.38/33.04 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | m_processor_v_state(c_p1, s6, c_owned) | (~node34(c_p1, s5, s6))),
% 50.38/33.04 inference(modus_ponens,[status(thm)],[16948, 16947])).
% 50.38/33.04 tff(16950,plain,
% 50.38/33.04 ((~m_processor_v_CMD(c_p1, s5, c_read_h_owned)) | m_processor_v_CMD(c_p1, s5, c_read_h_shared)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[16949, 1864, 406, 106])).
% 50.38/33.04 tff(16951,plain,
% 50.38/33.04 (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[16950, 650])).
% 50.38/33.04 tff(16952,plain,
% 50.38/33.04 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | (~m_main_v_CMD(s5, c_read_h_owned)) | (~node3(s5)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | (~m_main_v_CMD(s5, c_read_h_owned)) | (~node3(s5)))),
% 50.38/33.04 inference(rewrite,[status(thm)],[])).
% 50.38/33.04 tff(16953,plain,
% 50.38/33.04 (((~m_main_v_CMD(s5, c_read_h_owned)) | (~node3(s5)) | m_processor_v_CMD(c_p1, s5, c_read_h_owned)) <=> (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | (~m_main_v_CMD(s5, c_read_h_owned)) | (~node3(s5)))),
% 50.38/33.04 inference(rewrite,[status(thm)],[])).
% 50.38/33.04 tff(16954,plain,
% 50.38/33.04 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s5, c_read_h_owned)) | (~node3(s5)) | m_processor_v_CMD(c_p1, s5, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | (~m_main_v_CMD(s5, c_read_h_owned)) | (~node3(s5))))),
% 50.38/33.04 inference(monotonicity,[status(thm)],[16953])).
% 50.38/33.04 tff(16955,plain,
% 50.38/33.04 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s5, c_read_h_owned)) | (~node3(s5)) | m_processor_v_CMD(c_p1, s5, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | (~m_main_v_CMD(s5, c_read_h_owned)) | (~node3(s5)))),
% 50.38/33.04 inference(transitivity,[status(thm)],[16954, 16952])).
% 50.38/33.04 tff(16956,plain,
% 50.38/33.04 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s5, c_read_h_owned)) | (~node3(s5)) | m_processor_v_CMD(c_p1, s5, c_read_h_owned))),
% 50.38/33.04 inference(quant_inst,[status(thm)],[])).
% 50.38/33.04 tff(16957,plain,
% 50.38/33.04 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | (~m_main_v_CMD(s5, c_read_h_owned)) | (~node3(s5))),
% 50.38/33.04 inference(modus_ponens,[status(thm)],[16956, 16955])).
% 50.38/33.04 tff(16958,plain,
% 50.38/33.04 ($false),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[16957, 1945, 424, 13607, 13659])).
% 50.38/33.04 tff(16959,plain,((~m_main_v_CMD(s5, c_read_h_owned)) | m_processor_v_CMD(c_p1, s5, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.04 tff(16960,plain,
% 50.38/33.04 (~m_main_v_CMD(s5, c_read_h_owned)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[16959, 16951])).
% 50.38/33.04 tff(16961,plain,
% 50.38/33.04 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_shared)) | m_main_v_CMD(s5, c_read_h_shared))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_shared)) | m_main_v_CMD(s5, c_read_h_shared))),
% 50.38/33.04 inference(rewrite,[status(thm)],[])).
% 50.38/33.04 tff(16962,plain,
% 50.38/33.04 ((m_main_v_CMD(s5, c_read_h_shared) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_shared))) <=> ((~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_shared)) | m_main_v_CMD(s5, c_read_h_shared))),
% 50.38/33.04 inference(rewrite,[status(thm)],[])).
% 50.38/33.04 tff(16963,plain,
% 50.38/33.04 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s5, c_read_h_shared) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_shared)) | m_main_v_CMD(s5, c_read_h_shared)))),
% 50.38/33.04 inference(monotonicity,[status(thm)],[16962])).
% 50.38/33.04 tff(16964,plain,
% 50.38/33.04 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s5, c_read_h_shared) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_shared)) | m_main_v_CMD(s5, c_read_h_shared))),
% 50.38/33.04 inference(transitivity,[status(thm)],[16963, 16961])).
% 50.38/33.04 tff(16965,plain,
% 50.38/33.04 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s5, c_read_h_shared) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_shared)))),
% 50.38/33.04 inference(quant_inst,[status(thm)],[])).
% 50.38/33.04 tff(16966,plain,
% 50.38/33.04 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_shared)) | m_main_v_CMD(s5, c_read_h_shared)),
% 50.38/33.04 inference(modus_ponens,[status(thm)],[16965, 16964])).
% 50.38/33.04 tff(16967,plain,
% 50.38/33.04 ((~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_shared))),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[16966, 3481, 13912])).
% 50.38/33.04 tff(16968,plain,
% 50.38/33.04 (~m_processor_v_cmd(c_p1, s5, c_read_h_shared)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[16967, 13978])).
% 50.38/33.04 tff(16969,assumption,(~m_main_v_CMD(s5, c_read_h_owned)), introduced(assumption)).
% 50.38/33.04 tff(16970,plain,
% 50.38/33.04 ((~node10(s5)) | (~m_processor_v_cmd(c_p1, s5, c_read_h_owned))),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[14108, 3481, 16969])).
% 50.38/33.04 tff(16971,plain,
% 50.38/33.04 (~m_processor_v_cmd(c_p1, s5, c_read_h_owned)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[16970, 13978])).
% 50.38/33.04 tff(16972,plain,
% 50.38/33.04 ($false),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[16926, 16971, 16968, 13590])).
% 50.38/33.04 tff(16973,plain,((~node10(s5)) | (~m_processor_v_master(c_p1, s5)) | (~m_processor_v_state(c_p1, s5, c_invalid)) | m_main_v_CMD(s5, c_read_h_owned) | m_main_v_CMD(s5, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.04 tff(16974,plain,
% 50.38/33.04 (m_main_v_CMD(s5, c_read_h_shared)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[16973, 16960, 13590, 16943, 548])).
% 50.38/33.04 tff(16975,plain,
% 50.38/33.04 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s5, c_read_h_shared) | (~m_main_v_CMD(s5, c_read_h_shared)) | (~node3(s5)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | (~m_main_v_CMD(s5, c_read_h_shared)) | (~node3(s5)))),
% 50.38/33.04 inference(rewrite,[status(thm)],[])).
% 50.38/33.04 tff(16976,plain,
% 50.38/33.04 (((~m_main_v_CMD(s5, c_read_h_shared)) | (~node3(s5)) | m_processor_v_CMD(c_p1, s5, c_read_h_shared)) <=> (m_processor_v_CMD(c_p1, s5, c_read_h_shared) | (~m_main_v_CMD(s5, c_read_h_shared)) | (~node3(s5)))),
% 50.38/33.04 inference(rewrite,[status(thm)],[])).
% 50.38/33.04 tff(16977,plain,
% 50.38/33.04 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s5, c_read_h_shared)) | (~node3(s5)) | m_processor_v_CMD(c_p1, s5, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s5, c_read_h_shared) | (~m_main_v_CMD(s5, c_read_h_shared)) | (~node3(s5))))),
% 50.38/33.04 inference(monotonicity,[status(thm)],[16976])).
% 50.38/33.04 tff(16978,plain,
% 50.38/33.04 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s5, c_read_h_shared)) | (~node3(s5)) | m_processor_v_CMD(c_p1, s5, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | (~m_main_v_CMD(s5, c_read_h_shared)) | (~node3(s5)))),
% 50.38/33.04 inference(transitivity,[status(thm)],[16977, 16975])).
% 50.38/33.04 tff(16979,plain,
% 50.38/33.04 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s5, c_read_h_shared)) | (~node3(s5)) | m_processor_v_CMD(c_p1, s5, c_read_h_shared))),
% 50.38/33.04 inference(quant_inst,[status(thm)],[])).
% 50.38/33.04 tff(16980,plain,
% 50.38/33.04 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s5, c_read_h_shared) | (~m_main_v_CMD(s5, c_read_h_shared)) | (~node3(s5))),
% 50.38/33.04 inference(modus_ponens,[status(thm)],[16979, 16978])).
% 50.38/33.04 tff(16981,plain,
% 50.38/33.04 ($false),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[16980, 1945, 13607, 16974, 650])).
% 50.38/33.04 tff(16982,plain,(m_processor_v_CMD(c_p1, s5, c_read_h_shared) | (~m_processor_v_master(c_p1, s5)) | (~m_processor_v_state(c_p1, s5, c_invalid)) | (~node34(c_p1, s5, s6)) | m_processor_v_state(c_p1, s6, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.04 tff(16983,plain,
% 50.38/33.04 (m_processor_v_CMD(c_p1, s5, c_read_h_shared)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[16982, 16911, 106, 16728, 16745])).
% 50.38/33.04 tff(16984,assumption,(node59(c_p1, s5)), introduced(assumption)).
% 50.38/33.04 tff(16985,plain,
% 50.38/33.04 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s5, c_read_h_shared)) | (~node59(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)) | (~node59(c_p1, s5)))),
% 50.38/33.04 inference(rewrite,[status(thm)],[])).
% 50.38/33.04 tff(16986,plain,
% 50.38/33.04 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s5, c_read_h_shared)) | (~node59(c_p1, s5)))),
% 50.38/33.04 inference(quant_inst,[status(thm)],[])).
% 50.38/33.04 tff(16987,plain,
% 50.38/33.04 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)) | (~node59(c_p1, s5))),
% 50.38/33.04 inference(modus_ponens,[status(thm)],[16986, 16985])).
% 50.38/33.04 tff(16988,plain,
% 50.38/33.04 ($false),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[16987, 3834, 13911, 16984])).
% 50.38/33.04 tff(16989,plain,((~node59(c_p1, s5)) | (~m_processor_v_CMD(c_p1, s5, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 50.38/33.04 tff(16990,plain,
% 50.38/33.04 (~node59(c_p1, s5)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[16989, 16983])).
% 50.38/33.04 tff(16991,plain,
% 50.38/33.04 (~m_processor_v_REPLY_h_WAITING(c_p1, s5)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[732, 16990, 16909])).
% 50.38/33.04 tff(16992,plain,
% 50.38/33.04 (~m_main_v_REPLY_h_WAITING(s5)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[750, 16991])).
% 50.38/33.04 tff(16993,plain,
% 50.38/33.04 (node6(s5)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[765, 16992])).
% 50.38/33.04 tff(16994,plain,
% 50.38/33.04 (~m_processor_v_reply_h_waiting(c_p0, s5)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[783, 16993])).
% 50.38/33.04 tff(16995,plain,
% 50.38/33.04 (~m_processor_v_waiting(c_p0, s5)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[2302, 2296, 16746, 16994])).
% 50.38/33.04 tff(16996,plain,
% 50.38/33.04 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s4)) | m_processor_v_waiting(c_p0, s5) | (~node52(c_p0, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s4)) | m_processor_v_waiting(c_p0, s5) | (~node52(c_p0, s4, s5)))),
% 50.38/33.04 inference(rewrite,[status(thm)],[])).
% 50.38/33.04 tff(16997,plain,
% 50.38/33.04 ((m_processor_v_waiting(c_p0, s5) | (~m_processor_v_waiting(c_p0, s4)) | (~node52(c_p0, s4, s5))) <=> ((~m_processor_v_waiting(c_p0, s4)) | m_processor_v_waiting(c_p0, s5) | (~node52(c_p0, s4, s5)))),
% 50.38/33.04 inference(rewrite,[status(thm)],[])).
% 50.38/33.04 tff(16998,plain,
% 50.38/33.04 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s5) | (~m_processor_v_waiting(c_p0, s4)) | (~node52(c_p0, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s4)) | m_processor_v_waiting(c_p0, s5) | (~node52(c_p0, s4, s5))))),
% 50.38/33.04 inference(monotonicity,[status(thm)],[16997])).
% 50.38/33.04 tff(16999,plain,
% 50.38/33.04 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s5) | (~m_processor_v_waiting(c_p0, s4)) | (~node52(c_p0, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s4)) | m_processor_v_waiting(c_p0, s5) | (~node52(c_p0, s4, s5)))),
% 50.38/33.04 inference(transitivity,[status(thm)],[16998, 16996])).
% 50.38/33.04 tff(17000,plain,
% 50.38/33.04 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s5) | (~m_processor_v_waiting(c_p0, s4)) | (~node52(c_p0, s4, s5)))),
% 50.38/33.04 inference(quant_inst,[status(thm)],[])).
% 50.38/33.04 tff(17001,plain,
% 50.38/33.04 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s4)) | m_processor_v_waiting(c_p0, s5) | (~node52(c_p0, s4, s5))),
% 50.38/33.04 inference(modus_ponens,[status(thm)],[17000, 16999])).
% 50.38/33.04 tff(17002,plain,
% 50.38/33.04 (~m_processor_v_waiting(c_p0, s4)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[17001, 10820, 16995, 16906])).
% 50.38/33.04 tff(17003,plain,
% 50.38/33.04 (m_processor_v_snoop(c_p1, s3, c_invalid)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[9812, 5949, 53, 5698, 52, 6553])).
% 50.38/33.04 tff(17004,plain,
% 50.38/33.04 (~m_processor_v_snoop(c_p1, s3, c_shared)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[12038, 4096, 17003])).
% 50.38/33.04 tff(17005,plain,
% 50.38/33.04 (~node65(c_p1, s3)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[10761, 4107, 17004])).
% 50.38/33.04 tff(17006,plain,
% 50.38/33.04 (~m_processor_v_snoop(c_p1, s3, c_owned)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[12043, 4071, 17003])).
% 50.38/33.04 tff(17007,plain,
% 50.38/33.04 (~node64(c_p1, s3)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[10718, 4082, 17006])).
% 50.38/33.04 tff(17008,plain,
% 50.38/33.04 (m_processor_v_master(c_p1, s3)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[16488, 16462, 2595])).
% 50.38/33.04 tff(17009,plain,
% 50.38/33.04 (m_processor_v_cmd(c_p1, s3, c_write_h_invalid)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[10757, 17008, 10644, 10640, 17003, 17007, 17005])).
% 50.38/33.04 tff(17010,plain,
% 50.38/33.04 (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[10669, 10666, 17009])).
% 50.38/33.04 tff(17011,plain,
% 50.38/33.04 (~m_processor_v_cmd(c_p1, s3, c_idle)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[12098, 3630, 17009])).
% 50.38/33.04 tff(17012,plain,
% 50.38/33.04 (~node9(s3)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[10785, 17011])).
% 50.38/33.04 tff(17013,plain,
% 50.38/33.04 (~node17(s3)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[10022, 17008])).
% 50.38/33.04 tff(17014,plain,
% 50.38/33.04 (~m_memory_v_master(c_m, s3)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[9494, 17013])).
% 50.38/33.04 tff(17015,plain,
% 50.38/33.04 (~node29(c_m, s3)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[9502, 17014])).
% 50.38/33.04 tff(17016,plain,
% 50.38/33.04 (m_memory_v_cmd(c_m, s3, c_idle)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[9510, 17015])).
% 50.38/33.04 tff(17017,plain,
% 50.38/33.04 (~node16(s3)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[10569, 3386, 17008])).
% 50.38/33.04 tff(17018,plain,
% 50.38/33.04 (~m_processor_v_master(c_p2, s3)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[9562, 17017])).
% 50.38/33.04 tff(17019,plain,
% 50.38/33.04 (m_processor_v_cmd(c_p2, s3, c_idle)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[9594, 17018])).
% 50.38/33.04 tff(17020,plain,
% 50.38/33.04 (node10(s3)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[10800, 17019, 17016, 17012, 11531])).
% 50.38/33.04 tff(17021,plain,
% 50.38/33.04 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node10(s3)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node10(s3)))),
% 50.38/33.04 inference(rewrite,[status(thm)],[])).
% 50.38/33.04 tff(17022,plain,
% 50.38/33.04 (((~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node10(s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)) <=> (m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node10(s3)))),
% 50.38/33.04 inference(rewrite,[status(thm)],[])).
% 50.38/33.04 tff(17023,plain,
% 50.38/33.04 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node10(s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node10(s3))))),
% 50.38/33.04 inference(monotonicity,[status(thm)],[17022])).
% 50.38/33.04 tff(17024,plain,
% 50.38/33.04 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node10(s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node10(s3)))),
% 50.38/33.04 inference(transitivity,[status(thm)],[17023, 17021])).
% 50.38/33.04 tff(17025,plain,
% 50.38/33.04 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node10(s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid))),
% 50.38/33.04 inference(quant_inst,[status(thm)],[])).
% 50.38/33.04 tff(17026,plain,
% 50.38/33.04 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~node10(s3))),
% 50.38/33.04 inference(modus_ponens,[status(thm)],[17025, 17024])).
% 50.38/33.04 tff(17027,plain,
% 50.38/33.04 (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[17026, 3512, 17020, 17010])).
% 50.38/33.04 tff(17028,plain,
% 50.38/33.04 (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[11590, 1612, 17027, 9538])).
% 50.38/33.04 tff(17029,plain,
% 50.38/33.04 (~node50(c_p0, s3)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[11601, 11598, 17028])).
% 50.38/33.04 tff(17030,plain,
% 50.38/33.04 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))) <=> ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))))),
% 50.38/33.04 inference(bind,[status(th)],[])).
% 50.38/33.04 tff(17031,plain,
% 50.38/33.04 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 50.38/33.04 inference(quant_intro,[status(thm)],[17030])).
% 50.38/33.04 tff(17032,plain,
% 50.38/33.04 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 50.38/33.04 inference(rewrite,[status(thm)],[])).
% 50.38/33.04 tff(17033,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_25')).
% 50.38/33.04 tff(17034,plain,
% 50.38/33.04 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 50.38/33.04 inference(modus_ponens,[status(thm)],[17033, 17032])).
% 50.38/33.04 tff(17035,plain,(
% 50.38/33.04 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 50.38/33.04 inference(skolemize,[status(sab)],[17034])).
% 50.38/33.04 tff(17036,plain,
% 50.38/33.04 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 50.38/33.04 inference(modus_ponens,[status(thm)],[17035, 17031])).
% 50.38/33.04 tff(17037,plain,
% 50.38/33.04 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)))),
% 50.38/33.04 inference(rewrite,[status(thm)],[])).
% 50.38/33.04 tff(17038,plain,
% 50.38/33.04 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)))),
% 50.38/33.04 inference(quant_inst,[status(thm)],[])).
% 50.38/33.04 tff(17039,plain,
% 50.38/33.04 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)) | (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared))),
% 50.38/33.04 inference(modus_ponens,[status(thm)],[17038, 17037])).
% 50.38/33.04 tff(17040,plain,
% 50.38/33.04 (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[17039, 17036, 17009])).
% 50.38/33.04 tff(17041,plain,
% 50.38/33.04 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node10(s3)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node10(s3)))),
% 50.38/33.04 inference(rewrite,[status(thm)],[])).
% 50.38/33.04 tff(17042,plain,
% 50.38/33.04 (((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node10(s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)) <=> (m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node10(s3)))),
% 50.38/33.04 inference(rewrite,[status(thm)],[])).
% 50.38/33.04 tff(17043,plain,
% 50.38/33.04 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node10(s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node10(s3))))),
% 50.38/33.04 inference(monotonicity,[status(thm)],[17042])).
% 50.38/33.04 tff(17044,plain,
% 50.38/33.04 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node10(s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node10(s3)))),
% 50.38/33.04 inference(transitivity,[status(thm)],[17043, 17041])).
% 50.38/33.04 tff(17045,plain,
% 50.38/33.04 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node10(s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared))),
% 50.38/33.04 inference(quant_inst,[status(thm)],[])).
% 50.38/33.04 tff(17046,plain,
% 50.38/33.04 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~node10(s3))),
% 50.38/33.04 inference(modus_ponens,[status(thm)],[17045, 17044])).
% 50.38/33.04 tff(17047,plain,
% 50.38/33.04 (~m_main_v_CMD(s3, c_write_h_resp_h_shared)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[17046, 3512, 17040, 17020])).
% 50.38/33.04 tff(17048,plain,
% 50.38/33.04 (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[11539, 1612, 9538, 17047])).
% 50.38/33.04 tff(17049,plain,
% 50.38/33.04 (~node51(c_p0, s3)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[11554, 17048])).
% 50.38/33.04 tff(17050,plain,
% 50.38/33.04 (~node32(c_p1, s3, s4)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[16477, 16462, 2595])).
% 50.38/33.04 tff(17051,plain,
% 50.38/33.04 (~m_processor_v_abort(c_p1, s3)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[6640, 17050])).
% 50.38/33.04 tff(17052,plain,
% 50.38/33.04 (node60(c_p1, s3)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[11803, 17051])).
% 50.38/33.04 tff(17053,plain,
% 50.38/33.04 (~m_processor_v_REPLY_h_STALL(c_p1, s3)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[12717, 17052])).
% 50.38/33.04 tff(17054,plain,
% 50.38/33.04 (~m_main_v_REPLY_h_STALL(s3)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[11820, 17053])).
% 50.38/33.04 tff(17055,plain,
% 50.38/33.04 (~m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[11826, 17054])).
% 50.38/33.04 tff(17056,plain,
% 50.38/33.04 (~m_processor_v_cmd(c_p1, s3, c_read_h_shared)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[16686, 11648, 17009])).
% 50.38/33.04 tff(17057,plain,
% 50.38/33.04 (~m_main_v_CMD(s3, c_read_h_shared)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[16693, 3512, 17020, 17056])).
% 50.38/33.04 tff(17058,plain,
% 50.38/33.04 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[11528, 17057])).
% 50.38/33.04 tff(17059,plain,
% 50.38/33.04 (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[16680, 3716, 17009])).
% 50.38/33.04 tff(17060,plain,
% 50.38/33.04 (~m_main_v_CMD(s3, c_read_h_owned)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[10695, 3512, 17020, 17059])).
% 50.38/33.04 tff(17061,plain,
% 50.38/33.04 (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[10546, 17060])).
% 50.38/33.04 tff(17062,plain,
% 50.38/33.04 (~node61(c_p0, s3)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[11890, 17061, 17058])).
% 50.38/33.04 tff(17063,plain,
% 50.38/33.04 (~m_processor_v_abort(c_p0, s3)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[11875, 17062, 17055])).
% 50.38/33.04 tff(17064,plain,
% 50.38/33.04 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node47(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node47(c_p0, s3)))),
% 50.38/33.04 inference(rewrite,[status(thm)],[])).
% 50.38/33.04 tff(17065,plain,
% 50.38/33.04 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node47(c_p0, s3)))),
% 50.38/33.04 inference(quant_inst,[status(thm)],[])).
% 50.38/33.04 tff(17066,plain,
% 50.38/33.04 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node47(c_p0, s3))),
% 50.38/33.04 inference(modus_ponens,[status(thm)],[17065, 17064])).
% 50.38/33.04 tff(17067,plain,
% 50.38/33.04 (~node47(c_p0, s3)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[17066, 12108, 9405])).
% 50.38/33.04 tff(17068,plain,
% 50.38/33.04 (node34(c_p1, s3, s4)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[6720, 17051, 17008])).
% 50.38/33.04 tff(17069,plain,
% 50.38/33.04 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s4, c_owned) | (~node33(c_p1, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s4, c_owned) | (~node33(c_p1, s3, s4)))),
% 50.38/33.04 inference(rewrite,[status(thm)],[])).
% 50.38/33.04 tff(17070,plain,
% 50.38/33.04 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s4, c_owned) | (~node33(c_p1, s3, s4)))),
% 50.38/33.04 inference(quant_inst,[status(thm)],[])).
% 50.38/33.04 tff(17071,plain,
% 50.38/33.04 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s4, c_owned) | (~node33(c_p1, s3, s4))),
% 50.38/33.04 inference(modus_ponens,[status(thm)],[17070, 17069])).
% 50.38/33.04 tff(17072,plain,
% 50.38/33.04 (~node33(c_p1, s3, s4)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[17071, 399, 16462, 2595])).
% 50.38/33.04 tff(17073,plain,
% 50.38/33.04 (~m_main_v_CMD(s3, c_read_h_owned)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[12321, 12309])).
% 50.38/33.04 tff(17074,plain,
% 50.38/33.04 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[12458, 17073])).
% 50.38/33.04 tff(17075,plain,
% 50.38/33.04 (^[X: $i] : refl(((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_response))) <=> ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_response))))),
% 50.38/33.04 inference(bind,[status(th)],[])).
% 50.38/33.04 tff(17076,plain,
% 50.38/33.04 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_response))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_response)))),
% 50.38/33.04 inference(quant_intro,[status(thm)],[17075])).
% 50.38/33.04 tff(17077,plain,
% 50.38/33.04 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_response))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_response)))),
% 50.38/33.04 inference(rewrite,[status(thm)],[])).
% 50.38/33.04 tff(17078,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_response)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_31')).
% 50.38/33.04 tff(17079,plain,
% 50.38/33.04 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_response)))),
% 50.38/33.04 inference(modus_ponens,[status(thm)],[17078, 17077])).
% 50.38/33.04 tff(17080,plain,(
% 50.38/33.04 ![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_response)))),
% 50.38/33.04 inference(skolemize,[status(sab)],[17079])).
% 50.38/33.04 tff(17081,plain,
% 50.38/33.04 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_response)))),
% 50.38/33.04 inference(modus_ponens,[status(thm)],[17080, 17076])).
% 50.38/33.04 tff(17082,plain,
% 50.38/33.04 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_shared)))),
% 50.38/33.04 inference(rewrite,[status(thm)],[])).
% 50.38/33.04 tff(17083,plain,
% 50.38/33.04 (((~m_main_v_CMD(s3, c_write_h_shared)) | (~m_main_v_CMD(s3, c_response))) <=> ((~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_shared)))),
% 50.38/33.04 inference(rewrite,[status(thm)],[])).
% 50.38/33.04 tff(17084,plain,
% 50.38/33.04 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_write_h_shared)) | (~m_main_v_CMD(s3, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_shared))))),
% 50.38/33.04 inference(monotonicity,[status(thm)],[17083])).
% 50.38/33.04 tff(17085,plain,
% 50.38/33.04 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_write_h_shared)) | (~m_main_v_CMD(s3, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_shared)))),
% 50.38/33.04 inference(transitivity,[status(thm)],[17084, 17082])).
% 50.38/33.04 tff(17086,plain,
% 50.38/33.04 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_write_h_shared)) | (~m_main_v_CMD(s3, c_response)))),
% 50.38/33.04 inference(quant_inst,[status(thm)],[])).
% 50.38/33.04 tff(17087,plain,
% 50.38/33.04 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_shared))),
% 50.38/33.04 inference(modus_ponens,[status(thm)],[17086, 17085])).
% 50.38/33.04 tff(17088,plain,
% 50.38/33.04 (~m_main_v_CMD(s3, c_write_h_shared)),
% 50.38/33.04 inference(unit_resolution,[status(thm)],[17087, 17081, 12309])).
% 50.38/33.04 tff(17089,plain,
% 50.38/33.04 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_shared) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s3, c_write_h_shared) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared)))),
% 50.38/33.05 inference(rewrite,[status(thm)],[])).
% 50.38/33.05 tff(17090,plain,
% 50.38/33.05 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s3, c_write_h_shared) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared)))),
% 50.38/33.05 inference(quant_inst,[status(thm)],[])).
% 50.38/33.05 tff(17091,plain,
% 50.38/33.05 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s3, c_write_h_shared) | (~node3(s3)) | (~m_processor_v_CMD(c_p1, s3, c_write_h_shared))),
% 50.38/33.05 inference(modus_ponens,[status(thm)],[17090, 17089])).
% 50.38/33.05 tff(17092,plain,
% 50.38/33.05 (~m_processor_v_CMD(c_p1, s3, c_write_h_shared)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[17091, 1260, 10577, 17088])).
% 50.38/33.05 tff(17093,plain,
% 50.38/33.05 (^[X: $i] : refl(((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response))) <=> ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response))))),
% 50.38/33.05 inference(bind,[status(th)],[])).
% 50.38/33.05 tff(17094,plain,
% 50.38/33.05 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))),
% 50.38/33.05 inference(quant_intro,[status(thm)],[17093])).
% 50.38/33.05 tff(17095,plain,
% 50.38/33.05 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))),
% 50.38/33.05 inference(rewrite,[status(thm)],[])).
% 50.38/33.05 tff(17096,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_27')).
% 50.38/33.05 tff(17097,plain,
% 50.38/33.05 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))),
% 50.38/33.05 inference(modus_ponens,[status(thm)],[17096, 17095])).
% 50.38/33.05 tff(17098,plain,(
% 50.38/33.05 ![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))),
% 50.38/33.05 inference(skolemize,[status(sab)],[17097])).
% 50.38/33.05 tff(17099,plain,
% 50.38/33.05 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))),
% 50.38/33.05 inference(modus_ponens,[status(thm)],[17098, 17094])).
% 50.38/33.05 tff(17100,plain,
% 50.38/33.05 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_invalid)))),
% 50.38/33.05 inference(rewrite,[status(thm)],[])).
% 50.38/33.05 tff(17101,plain,
% 50.38/33.05 (((~m_main_v_CMD(s3, c_write_h_invalid)) | (~m_main_v_CMD(s3, c_response))) <=> ((~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_invalid)))),
% 50.38/33.05 inference(rewrite,[status(thm)],[])).
% 50.38/33.05 tff(17102,plain,
% 50.38/33.05 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_write_h_invalid)) | (~m_main_v_CMD(s3, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_invalid))))),
% 50.38/33.05 inference(monotonicity,[status(thm)],[17101])).
% 50.38/33.05 tff(17103,plain,
% 50.38/33.05 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_write_h_invalid)) | (~m_main_v_CMD(s3, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_invalid)))),
% 50.38/33.05 inference(transitivity,[status(thm)],[17102, 17100])).
% 50.38/33.05 tff(17104,plain,
% 50.38/33.05 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_write_h_invalid)) | (~m_main_v_CMD(s3, c_response)))),
% 50.38/33.05 inference(quant_inst,[status(thm)],[])).
% 50.38/33.05 tff(17105,plain,
% 50.38/33.05 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_invalid))),
% 50.38/33.05 inference(modus_ponens,[status(thm)],[17104, 17103])).
% 50.38/33.05 tff(17106,plain,
% 50.38/33.05 (~m_main_v_CMD(s3, c_write_h_invalid)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[17105, 17099, 12309])).
% 50.38/33.05 tff(17107,plain,
% 50.38/33.05 (~m_processor_v_CMD(c_p1, s3, c_write_h_invalid)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[10684, 17106])).
% 50.38/33.05 tff(17108,plain,
% 50.38/33.05 (^[X: $i] : refl(((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response))) <=> ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response))))),
% 50.38/33.05 inference(bind,[status(th)],[])).
% 50.38/33.05 tff(17109,plain,
% 50.38/33.05 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response)))),
% 50.38/33.05 inference(quant_intro,[status(thm)],[17108])).
% 50.38/33.05 tff(17110,plain,
% 50.38/33.05 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response)))),
% 50.38/33.05 inference(rewrite,[status(thm)],[])).
% 50.38/33.05 tff(17111,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_36')).
% 50.38/33.05 tff(17112,plain,
% 50.38/33.05 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response)))),
% 50.38/33.05 inference(modus_ponens,[status(thm)],[17111, 17110])).
% 50.38/33.05 tff(17113,plain,(
% 50.38/33.05 ![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response)))),
% 50.38/33.05 inference(skolemize,[status(sab)],[17112])).
% 50.38/33.05 tff(17114,plain,
% 50.38/33.05 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response)))),
% 50.38/33.05 inference(modus_ponens,[status(thm)],[17113, 17109])).
% 50.38/33.05 tff(17115,plain,
% 50.38/33.05 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))),
% 50.38/33.05 inference(rewrite,[status(thm)],[])).
% 50.38/33.05 tff(17116,plain,
% 50.38/33.05 (((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~m_main_v_CMD(s3, c_response))) <=> ((~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))),
% 50.38/33.05 inference(rewrite,[status(thm)],[])).
% 50.38/33.05 tff(17117,plain,
% 50.38/33.05 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~m_main_v_CMD(s3, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared))))),
% 50.38/33.05 inference(monotonicity,[status(thm)],[17116])).
% 50.38/33.05 tff(17118,plain,
% 50.38/33.05 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~m_main_v_CMD(s3, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))),
% 50.38/33.05 inference(transitivity,[status(thm)],[17117, 17115])).
% 50.38/33.05 tff(17119,plain,
% 50.38/33.05 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_shared)) | (~m_main_v_CMD(s3, c_response)))),
% 50.38/33.05 inference(quant_inst,[status(thm)],[])).
% 50.38/33.05 tff(17120,plain,
% 50.38/33.05 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_shared)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared))),
% 50.38/33.05 inference(modus_ponens,[status(thm)],[17119, 17118])).
% 50.38/33.05 tff(17121,plain,
% 50.38/33.05 (~m_main_v_CMD(s3, c_write_h_resp_h_shared)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[17120, 17114, 12309])).
% 50.38/33.05 tff(17122,plain,
% 50.38/33.05 (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[12130, 1260, 10577, 17121])).
% 50.38/33.05 tff(17123,plain,
% 50.38/33.05 (^[X: $i] : refl(((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response))) <=> ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response))))),
% 50.38/33.05 inference(bind,[status(th)],[])).
% 50.38/33.05 tff(17124,plain,
% 50.38/33.05 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))),
% 50.38/33.05 inference(quant_intro,[status(thm)],[17123])).
% 50.38/33.05 tff(17125,plain,
% 50.38/33.05 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))),
% 50.38/33.05 inference(rewrite,[status(thm)],[])).
% 50.38/33.05 tff(17126,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_34')).
% 50.38/33.05 tff(17127,plain,
% 50.38/33.05 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))),
% 50.38/33.05 inference(modus_ponens,[status(thm)],[17126, 17125])).
% 50.38/33.05 tff(17128,plain,(
% 50.38/33.05 ![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))),
% 50.38/33.05 inference(skolemize,[status(sab)],[17127])).
% 50.38/33.05 tff(17129,plain,
% 50.38/33.05 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))),
% 50.38/33.05 inference(modus_ponens,[status(thm)],[17128, 17124])).
% 50.38/33.05 tff(17130,plain,
% 50.38/33.05 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)))),
% 50.38/33.05 inference(rewrite,[status(thm)],[])).
% 50.38/33.05 tff(17131,plain,
% 50.38/33.05 (((~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(s3, c_response))) <=> ((~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)))),
% 50.38/33.05 inference(rewrite,[status(thm)],[])).
% 50.38/33.05 tff(17132,plain,
% 50.38/33.05 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(s3, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid))))),
% 50.38/33.05 inference(monotonicity,[status(thm)],[17131])).
% 50.38/33.05 tff(17133,plain,
% 50.38/33.05 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(s3, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)))),
% 50.38/33.05 inference(transitivity,[status(thm)],[17132, 17130])).
% 50.38/33.05 tff(17134,plain,
% 50.38/33.05 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s3, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(s3, c_response)))),
% 50.38/33.05 inference(quant_inst,[status(thm)],[])).
% 50.38/33.05 tff(17135,plain,
% 50.38/33.05 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s3, c_response)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid))),
% 50.38/33.05 inference(modus_ponens,[status(thm)],[17134, 17133])).
% 50.38/33.05 tff(17136,plain,
% 50.38/33.05 (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[17135, 17129, 12309])).
% 50.38/33.05 tff(17137,plain,
% 50.38/33.05 (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[12154, 1260, 10577, 17136])).
% 50.38/33.05 tff(17138,plain,
% 50.38/33.05 ($false),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[6750, 17137, 17122, 10573, 6730, 17107, 17092, 6712])).
% 50.38/33.05 tff(17139,plain,((~m_main_v_CMD(s3, c_response)) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | node33(c_p1, s3, s4) | (~node34(c_p1, s3, s4))), inference(lemma,lemma(discharge,[]))).
% 50.38/33.05 tff(17140,plain,
% 50.38/33.05 (m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[17139, 17074, 6722, 12309, 6712])).
% 50.38/33.05 tff(17141,plain,
% 50.38/33.05 (m_main_v_CMD(s3, c_read_h_shared)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[10595, 17140])).
% 50.38/33.05 tff(17142,plain,
% 50.38/33.05 ($false),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[12247, 8266, 17141, 12309])).
% 50.38/33.05 tff(17143,plain,((~m_main_v_CMD(s3, c_response)) | (~node34(c_p1, s3, s4)) | node33(c_p1, s3, s4)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.05 tff(17144,plain,
% 50.38/33.05 (~m_main_v_CMD(s3, c_response)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[17143, 17072, 17068])).
% 50.38/33.05 tff(17145,plain,
% 50.38/33.05 (~m_processor_v_CMD(c_p0, s3, c_response)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[11571, 1612, 9538, 17144])).
% 50.38/33.05 tff(17146,plain,
% 50.38/33.05 (~node49(c_p0, s3)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[11582, 11579, 17145])).
% 50.38/33.05 tff(17147,plain,
% 50.38/33.05 (node52(c_p0, s3, s4)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[11619, 17146, 17067, 17063, 11566, 17049, 17029])).
% 50.38/33.05 tff(17148,plain,
% 50.38/33.05 (~m_processor_v_waiting(c_p0, s3)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[10826, 10820, 17147, 17002])).
% 50.38/33.05 tff(17149,plain,
% 50.38/33.05 (node47(c_p0, s2)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[5636, 17148, 16607, 16646, 16467])).
% 50.38/33.05 tff(17150,plain,
% 50.38/33.05 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s2, c_read_h_shared) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s2, c_read_h_shared) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)))),
% 50.38/33.05 inference(rewrite,[status(thm)],[])).
% 50.38/33.05 tff(17151,plain,
% 50.38/33.05 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s2, c_read_h_shared) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)))),
% 50.38/33.05 inference(quant_inst,[status(thm)],[])).
% 50.38/33.05 tff(17152,plain,
% 50.38/33.05 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s2, c_read_h_shared) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared))),
% 50.38/33.05 inference(modus_ponens,[status(thm)],[17151, 17150])).
% 50.38/33.05 tff(17153,plain,
% 50.38/33.05 ($false),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[17152, 1612, 5518, 5301, 12360])).
% 50.38/33.05 tff(17154,plain,((~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | m_main_v_CMD(s2, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.05 tff(17155,plain,
% 50.38/33.05 (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[17154, 16534])).
% 50.38/33.05 tff(17156,plain,
% 50.38/33.05 ($false),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[5626, 657, 17155, 17149])).
% 50.38/33.05 tff(17157,plain,(m_processor_v_master(c_p1, s4) | m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_state(c_p1, s3, c_owned)) | node67(s9) | m_processor_v_state(c_p1, s8, c_owned) | m_processor_v_state(c_p1, s6, c_owned) | m_processor_v_state(c_p1, s5, c_owned) | (~m_processor_v_state(c_p1, s6, c_shared))), inference(lemma,lemma(discharge,[]))).
% 50.38/33.05 tff(17158,plain,
% 50.38/33.05 (m_processor_v_master(c_p1, s4)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[17157, 9405, 5, 16461, 5949, 5672, 13506, 53, 13502])).
% 50.38/33.05 tff(17159,plain,
% 50.38/33.05 (~node16(s4)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[12622, 17158])).
% 50.38/33.05 tff(17160,plain,
% 50.38/33.05 (~m_processor_v_master(c_p2, s4)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[1550, 17159])).
% 50.38/33.05 tff(17161,plain,
% 50.38/33.05 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[1582, 17160])).
% 50.38/33.05 tff(17162,plain,
% 50.38/33.05 (node56(c_p0, s4)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[67, 28, 6874])).
% 50.38/33.05 tff(17163,plain,
% 50.38/33.05 (~m_processor_v_waiting(c_p0, s4)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[9373, 540, 17162])).
% 50.38/33.05 tff(17164,plain,
% 50.38/33.05 (~m_processor_v_state(c_p1, s3, c_shared)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[5139, 121, 16461])).
% 50.38/33.05 tff(17165,plain,
% 50.38/33.05 (~node63(c_p1, s3)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[10643, 1809, 17164])).
% 50.38/33.05 tff(17166,plain,
% 50.38/33.05 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[6599, 137, 6877])).
% 50.38/33.05 tff(17167,plain,
% 50.38/33.05 (~m_processor_v_waiting(c_p1, s4)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[6603, 540, 6876])).
% 50.38/33.05 tff(17168,plain,
% 50.38/33.05 (~node32(c_p1, s4, s5)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[12546, 6877, 53])).
% 50.38/33.05 tff(17169,plain,
% 50.38/33.05 (~m_processor_v_abort(c_p1, s4)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[6859, 17168])).
% 50.38/33.05 tff(17170,plain,
% 50.38/33.05 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | (~node38(c_p1, s4, s5)) | node34(c_p1, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | (~node38(c_p1, s4, s5)) | node34(c_p1, s4, s5))),
% 50.38/33.05 inference(rewrite,[status(thm)],[])).
% 50.38/33.05 tff(17171,plain,
% 50.38/33.05 ((node34(c_p1, s4, s5) | (~m_processor_v_master(c_p1, s4)) | (~node38(c_p1, s4, s5)) | m_processor_v_abort(c_p1, s4)) <=> ((~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | (~node38(c_p1, s4, s5)) | node34(c_p1, s4, s5))),
% 50.38/33.05 inference(rewrite,[status(thm)],[])).
% 50.38/33.05 tff(17172,plain,
% 50.38/33.05 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s4, s5) | (~m_processor_v_master(c_p1, s4)) | (~node38(c_p1, s4, s5)) | m_processor_v_abort(c_p1, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | (~node38(c_p1, s4, s5)) | node34(c_p1, s4, s5)))),
% 50.38/33.05 inference(monotonicity,[status(thm)],[17171])).
% 50.38/33.05 tff(17173,plain,
% 50.38/33.05 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s4, s5) | (~m_processor_v_master(c_p1, s4)) | (~node38(c_p1, s4, s5)) | m_processor_v_abort(c_p1, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | (~node38(c_p1, s4, s5)) | node34(c_p1, s4, s5))),
% 50.38/33.05 inference(transitivity,[status(thm)],[17172, 17170])).
% 50.38/33.05 tff(17174,plain,
% 50.38/33.05 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s4, s5) | (~m_processor_v_master(c_p1, s4)) | (~node38(c_p1, s4, s5)) | m_processor_v_abort(c_p1, s4))),
% 50.38/33.05 inference(quant_inst,[status(thm)],[])).
% 50.38/33.05 tff(17175,plain,
% 50.38/33.05 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | (~node38(c_p1, s4, s5)) | node34(c_p1, s4, s5)),
% 50.38/33.05 inference(modus_ponens,[status(thm)],[17174, 17173])).
% 50.38/33.05 tff(17176,plain,
% 50.38/33.05 ((~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | node34(c_p1, s4, s5)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[17175, 283, 6829])).
% 50.38/33.05 tff(17177,plain,
% 50.38/33.05 (node34(c_p1, s4, s5)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[17176, 17169, 1432])).
% 50.38/33.05 tff(17178,plain,
% 50.38/33.05 (m_processor_v_state(c_p0, s5, c_owned)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[6931, 6557, 53])).
% 50.38/33.05 tff(17179,plain,
% 50.38/33.05 (m_processor_v_master(c_p0, s5)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[6996, 17178, 5])).
% 50.38/33.05 tff(17180,plain,
% 50.38/33.05 (~m_processor_v_master(c_p1, s5)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[797, 794, 17179])).
% 50.38/33.05 tff(17181,plain,
% 50.38/33.05 (~m_processor_v_state(c_p1, s6, c_owned)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[269, 142, 53, 16734])).
% 50.38/33.05 tff(17182,plain,
% 50.38/33.05 (~m_processor_v_state(c_p1, s6, c_shared)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[16744, 142, 548])).
% 50.38/33.05 tff(17183,plain,
% 50.38/33.05 ($false),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[13498, 17182, 17181, 4, 13405, 13102])).
% 50.38/33.05 tff(17184,plain,(m_processor_v_master(c_p1, s5) | m_processor_v_state(c_p1, s7, c_owned) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s7, c_invalid) | (~m_processor_v_state(c_p1, s5, c_invalid)) | m_processor_v_state(c_p1, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.05 tff(17185,plain,
% 50.38/33.05 (~m_processor_v_state(c_p1, s5, c_invalid)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[17184, 17180, 13102, 13405, 4, 53])).
% 50.38/33.05 tff(17186,plain,
% 50.38/33.05 (m_main_v_CMD(s4, c_read_h_owned)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[2280, 2275])).
% 50.38/33.05 tff(17187,assumption,(node34(c_p1, s4, s5)), introduced(assumption)).
% 50.38/33.05 tff(17188,plain,
% 50.38/33.05 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_state(c_p1, s5, c_owned) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_state(c_p1, s5, c_owned) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)))),
% 50.38/33.05 inference(rewrite,[status(thm)],[])).
% 50.38/33.05 tff(17189,plain,
% 50.38/33.05 (((~node34(c_p1, s4, s5)) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_state(c_p1, s5, c_owned) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned))) <=> (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_state(c_p1, s5, c_owned) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)))),
% 50.38/33.05 inference(rewrite,[status(thm)],[])).
% 50.38/33.05 tff(17190,plain,
% 50.38/33.05 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p1, s4, s5)) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_state(c_p1, s5, c_owned) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_state(c_p1, s5, c_owned) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned))))),
% 50.38/33.05 inference(monotonicity,[status(thm)],[17189])).
% 50.38/33.05 tff(17191,plain,
% 50.38/33.05 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p1, s4, s5)) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_state(c_p1, s5, c_owned) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_state(c_p1, s5, c_owned) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)))),
% 50.38/33.05 inference(transitivity,[status(thm)],[17190, 17188])).
% 50.38/33.05 tff(17192,plain,
% 50.38/33.05 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p1, s4, s5)) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_state(c_p1, s5, c_owned) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)))),
% 50.38/33.05 inference(quant_inst,[status(thm)],[])).
% 50.38/33.05 tff(17193,plain,
% 50.38/33.05 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_state(c_p1, s5, c_owned) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned))),
% 50.38/33.05 inference(modus_ponens,[status(thm)],[17192, 17191])).
% 50.38/33.05 tff(17194,plain,
% 50.38/33.05 ($false),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[17193, 1864, 17187, 53, 2275, 2258])).
% 50.38/33.05 tff(17195,plain,((~node34(c_p1, s4, s5)) | m_processor_v_state(c_p1, s5, c_owned) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)) | m_processor_v_CMD(c_p1, s4, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.05 tff(17196,plain,
% 50.38/33.05 (m_processor_v_CMD(c_p1, s4, c_read_h_shared)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[17195, 2275, 53, 17187])).
% 50.38/33.05 tff(17197,plain,
% 50.38/33.05 (m_main_v_CMD(s4, c_read_h_shared)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[1265, 17196])).
% 50.38/33.05 tff(17198,plain,
% 50.38/33.05 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s4, c_read_h_owned)) | (~m_main_v_CMD(s4, c_read_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | (~m_main_v_CMD(s4, c_read_h_owned)) | (~m_main_v_CMD(s4, c_read_h_shared)))),
% 50.38/33.05 inference(rewrite,[status(thm)],[])).
% 50.38/33.05 tff(17199,plain,
% 50.38/33.05 (((~m_main_v_CMD(s4, c_read_h_shared)) | (~m_main_v_CMD(s4, c_read_h_owned))) <=> ((~m_main_v_CMD(s4, c_read_h_owned)) | (~m_main_v_CMD(s4, c_read_h_shared)))),
% 50.38/33.05 inference(rewrite,[status(thm)],[])).
% 50.38/33.05 tff(17200,plain,
% 50.38/33.05 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s4, c_read_h_shared)) | (~m_main_v_CMD(s4, c_read_h_owned)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s4, c_read_h_owned)) | (~m_main_v_CMD(s4, c_read_h_shared))))),
% 50.38/33.05 inference(monotonicity,[status(thm)],[17199])).
% 50.38/33.05 tff(17201,plain,
% 50.38/33.05 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s4, c_read_h_shared)) | (~m_main_v_CMD(s4, c_read_h_owned)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | (~m_main_v_CMD(s4, c_read_h_owned)) | (~m_main_v_CMD(s4, c_read_h_shared)))),
% 50.38/33.05 inference(transitivity,[status(thm)],[17200, 17198])).
% 50.38/33.05 tff(17202,plain,
% 50.38/33.05 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s4, c_read_h_shared)) | (~m_main_v_CMD(s4, c_read_h_owned)))),
% 50.38/33.05 inference(quant_inst,[status(thm)],[])).
% 50.38/33.05 tff(17203,plain,
% 50.38/33.05 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | (~m_main_v_CMD(s4, c_read_h_owned)) | (~m_main_v_CMD(s4, c_read_h_shared))),
% 50.38/33.05 inference(modus_ponens,[status(thm)],[17202, 17201])).
% 50.38/33.05 tff(17204,plain,
% 50.38/33.05 ($false),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[17203, 6497, 17197, 17186])).
% 50.38/33.05 tff(17205,plain,((~m_processor_v_CMD(c_p1, s4, c_read_h_owned)) | m_processor_v_state(c_p1, s5, c_owned) | (~node34(c_p1, s4, s5))), inference(lemma,lemma(discharge,[]))).
% 50.38/33.05 tff(17206,plain,
% 50.38/33.05 (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[17205, 17177, 53])).
% 50.38/33.05 tff(17207,plain,
% 50.38/33.05 (~m_processor_v_master(c_p0, s4)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[1435, 794, 1432])).
% 50.38/33.05 tff(17208,plain,
% 50.38/33.05 (m_processor_v_cmd(c_p0, s4, c_idle)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[12616, 17207])).
% 50.38/33.05 tff(17209,plain,
% 50.38/33.05 (~m_processor_v_state(c_p1, s4, c_shared)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[6591, 121, 6877])).
% 50.38/33.05 tff(17210,plain,
% 50.38/33.05 (~node63(c_p1, s4)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[12632, 1809, 17209])).
% 50.38/33.05 tff(17211,plain,
% 50.38/33.05 (~node62(c_p1, s4)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[12628, 1633, 17166])).
% 50.38/33.05 tff(17212,plain,
% 50.38/33.05 (~m_processor_v_cmd(c_p1, s4, c_idle)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[12699, 17211, 6877, 1432, 17210])).
% 50.38/33.05 tff(17213,plain,
% 50.38/33.05 (~node9(s4)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[12703, 3443, 17212])).
% 50.38/33.05 tff(17214,plain,
% 50.38/33.05 (node10(s4)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[12714, 17213, 1964, 12594, 17208])).
% 50.38/33.05 tff(17215,assumption,(m_processor_v_cmd(c_p1, s4, c_write_h_invalid)), introduced(assumption)).
% 50.38/33.05 tff(17216,plain,
% 50.38/33.05 (m_main_v_CMD(s4, c_write_h_invalid)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[12834, 3481, 17215, 12869])).
% 50.38/33.05 tff(17217,plain,
% 50.38/33.05 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | (~m_main_v_CMD(s4, c_write_h_invalid)) | (~node3(s4)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | (~m_main_v_CMD(s4, c_write_h_invalid)) | (~node3(s4)))),
% 50.38/33.05 inference(rewrite,[status(thm)],[])).
% 50.38/33.05 tff(17218,plain,
% 50.38/33.05 (((~m_main_v_CMD(s4, c_write_h_invalid)) | (~node3(s4)) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid)) <=> (m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | (~m_main_v_CMD(s4, c_write_h_invalid)) | (~node3(s4)))),
% 50.38/33.05 inference(rewrite,[status(thm)],[])).
% 50.38/33.05 tff(17219,plain,
% 50.38/33.05 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_write_h_invalid)) | (~node3(s4)) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | (~m_main_v_CMD(s4, c_write_h_invalid)) | (~node3(s4))))),
% 50.38/33.05 inference(monotonicity,[status(thm)],[17218])).
% 50.38/33.05 tff(17220,plain,
% 50.38/33.05 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_write_h_invalid)) | (~node3(s4)) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | (~m_main_v_CMD(s4, c_write_h_invalid)) | (~node3(s4)))),
% 50.38/33.05 inference(transitivity,[status(thm)],[17219, 17217])).
% 50.38/33.05 tff(17221,plain,
% 50.38/33.05 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_write_h_invalid)) | (~node3(s4)) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid))),
% 50.38/33.05 inference(quant_inst,[status(thm)],[])).
% 50.38/33.05 tff(17222,plain,
% 50.38/33.05 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | (~m_main_v_CMD(s4, c_write_h_invalid)) | (~node3(s4))),
% 50.38/33.05 inference(modus_ponens,[status(thm)],[17221, 17220])).
% 50.38/33.05 tff(17223,plain,
% 50.38/33.05 (m_processor_v_CMD(c_p1, s4, c_write_h_invalid)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[17222, 1945, 1250, 17216])).
% 50.38/33.05 tff(17224,plain,
% 50.38/33.05 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p1, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)))),
% 50.38/33.05 inference(rewrite,[status(thm)],[])).
% 50.38/33.05 tff(17225,plain,
% 50.38/33.05 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)))),
% 50.38/33.05 inference(quant_inst,[status(thm)],[])).
% 50.38/33.05 tff(17226,plain,
% 50.38/33.05 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p1, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid))),
% 50.38/33.05 inference(modus_ponens,[status(thm)],[17225, 17224])).
% 50.38/33.05 tff(17227,plain,
% 50.38/33.05 (~m_processor_v_cmd(c_p1, s4, c_read_h_shared)),
% 50.38/33.05 inference(unit_resolution,[status(thm)],[17226, 11648, 17215])).
% 50.38/33.05 tff(17228,plain,
% 50.38/33.06 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_read_h_shared) | (~m_main_v_CMD(s4, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_read_h_shared) | (~m_main_v_CMD(s4, c_read_h_shared)))),
% 50.38/33.06 inference(rewrite,[status(thm)],[])).
% 50.38/33.06 tff(17229,plain,
% 50.38/33.06 (((~m_main_v_CMD(s4, c_read_h_shared)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_read_h_shared)) <=> ((~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_read_h_shared) | (~m_main_v_CMD(s4, c_read_h_shared)))),
% 50.38/33.06 inference(rewrite,[status(thm)],[])).
% 50.38/33.06 tff(17230,plain,
% 50.38/33.06 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_read_h_shared)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_read_h_shared) | (~m_main_v_CMD(s4, c_read_h_shared))))),
% 50.38/33.06 inference(monotonicity,[status(thm)],[17229])).
% 50.38/33.06 tff(17231,plain,
% 50.38/33.06 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_read_h_shared)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_read_h_shared) | (~m_main_v_CMD(s4, c_read_h_shared)))),
% 50.38/33.06 inference(transitivity,[status(thm)],[17230, 17228])).
% 50.38/33.06 tff(17232,plain,
% 50.38/33.06 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_read_h_shared)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_read_h_shared))),
% 50.38/33.06 inference(quant_inst,[status(thm)],[])).
% 50.38/33.06 tff(17233,plain,
% 50.38/33.06 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_read_h_shared) | (~m_main_v_CMD(s4, c_read_h_shared))),
% 50.38/33.06 inference(modus_ponens,[status(thm)],[17232, 17231])).
% 50.38/33.06 tff(17234,plain,
% 50.38/33.06 (~m_main_v_CMD(s4, c_read_h_shared)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[17233, 3512, 12869, 17227])).
% 50.38/33.06 tff(17235,plain,
% 50.38/33.06 (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[1265, 17234])).
% 50.38/33.06 tff(17236,plain,
% 50.38/33.06 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_state(c_p1, s5, c_invalid) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_state(c_p1, s5, c_invalid) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_invalid)))),
% 50.38/33.06 inference(rewrite,[status(thm)],[])).
% 50.38/33.06 tff(17237,plain,
% 50.38/33.06 (((~node34(c_p1, s4, s5)) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_state(c_p1, s5, c_invalid) | (~m_processor_v_CMD(c_p1, s4, c_write_h_invalid))) <=> (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_state(c_p1, s5, c_invalid) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_invalid)))),
% 50.38/33.06 inference(rewrite,[status(thm)],[])).
% 50.38/33.06 tff(17238,plain,
% 50.38/33.06 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s4, s5)) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_state(c_p1, s5, c_invalid) | (~m_processor_v_CMD(c_p1, s4, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_state(c_p1, s5, c_invalid) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_invalid))))),
% 50.38/33.06 inference(monotonicity,[status(thm)],[17237])).
% 50.38/33.06 tff(17239,plain,
% 50.38/33.06 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s4, s5)) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_state(c_p1, s5, c_invalid) | (~m_processor_v_CMD(c_p1, s4, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_state(c_p1, s5, c_invalid) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_invalid)))),
% 50.38/33.06 inference(transitivity,[status(thm)],[17238, 17236])).
% 50.38/33.06 tff(17240,plain,
% 50.38/33.06 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s4, s5)) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_state(c_p1, s5, c_invalid) | (~m_processor_v_CMD(c_p1, s4, c_write_h_invalid)))),
% 50.38/33.06 inference(quant_inst,[status(thm)],[])).
% 50.38/33.06 tff(17241,plain,
% 50.38/33.06 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_state(c_p1, s5, c_invalid) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_invalid))),
% 50.38/33.06 inference(modus_ponens,[status(thm)],[17240, 17239])).
% 50.38/33.06 tff(17242,plain,
% 50.38/33.06 (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s4, c_write_h_invalid))),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[17241, 512, 559, 17187, 1935])).
% 50.38/33.06 tff(17243,plain,
% 50.38/33.06 ($false),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[17242, 17235, 17223])).
% 50.38/33.06 tff(17244,plain,((~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)) | m_processor_v_state(c_p1, s5, c_invalid) | (~node34(c_p1, s4, s5)) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | (~node10(s4))), inference(lemma,lemma(discharge,[]))).
% 50.38/33.06 tff(17245,plain,
% 50.38/33.06 (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[17244, 17214, 17206, 17185, 17177])).
% 50.38/33.06 tff(17246,plain,
% 50.38/33.06 (~node39(c_p1, s3, s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12827, 17245, 1432, 6877, 11796])).
% 50.38/33.06 tff(17247,plain,
% 50.38/33.06 (~m_processor_v_abort(c_p1, s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12786, 17246])).
% 50.38/33.06 tff(17248,plain,
% 50.38/33.06 (m_processor_v_cmd(c_p1, s3, c_idle)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12094, 17247, 16461, 12045, 17167, 17166, 12040, 17165])).
% 50.38/33.06 tff(17249,plain,
% 50.38/33.06 (m_processor_v_state(c_p0, s4, c_owned)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[1191, 17178, 17207])).
% 50.38/33.06 tff(17250,plain,
% 50.38/33.06 (~m_processor_v_state(c_p0, s4, c_invalid)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[1757, 17249])).
% 50.38/33.06 tff(17251,plain,
% 50.38/33.06 (~m_processor_v_state(c_p1, s3, c_invalid)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[2620, 137, 16461])).
% 50.38/33.06 tff(17252,plain,
% 50.38/33.06 (~node62(c_p1, s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[10639, 1633, 17251])).
% 50.38/33.06 tff(17253,plain,
% 50.38/33.06 (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12098, 3630, 17248])).
% 50.38/33.06 tff(17254,plain,
% 50.38/33.06 (node63(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | node62(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | node65(c_p1, s3) | node64(c_p1, s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[10756, 7232, 16461])).
% 50.38/33.06 tff(17255,plain,
% 50.38/33.06 (~m_processor_v_master(c_p1, s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[17254, 17253, 17165, 17252, 11796, 12045, 12040])).
% 50.38/33.06 tff(17256,plain,
% 50.38/33.06 (~node42(c_p1, s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12730, 8170, 17255])).
% 50.38/33.06 tff(17257,plain,
% 50.38/33.06 (~node43(c_p1, s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12725, 8159, 17255])).
% 50.38/33.06 tff(17258,plain,
% 50.38/33.06 (~m_processor_v_snoop(c_p1, s4, c_owned)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12944, 17255, 16461, 12044, 17247])).
% 50.38/33.06 tff(17259,plain,
% 50.38/33.06 (~node64(c_p1, s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12697, 4082, 17258])).
% 50.38/33.06 tff(17260,plain,
% 50.38/33.06 (m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12892, 17259, 6877, 17212, 17245, 17210, 17211])).
% 50.38/33.06 tff(17261,plain,
% 50.38/33.06 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))) <=> ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))))),
% 50.38/33.06 inference(bind,[status(th)],[])).
% 50.38/33.06 tff(17262,plain,
% 50.38/33.06 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 50.38/33.06 inference(quant_intro,[status(thm)],[17261])).
% 50.38/33.06 tff(17263,plain,
% 50.38/33.06 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 50.38/33.06 inference(rewrite,[status(thm)],[])).
% 50.38/33.06 tff(17264,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_32')).
% 50.38/33.06 tff(17265,plain,
% 50.38/33.06 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 50.38/33.06 inference(modus_ponens,[status(thm)],[17264, 17263])).
% 50.38/33.06 tff(17266,plain,(
% 50.38/33.06 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 50.38/33.06 inference(skolemize,[status(sab)],[17265])).
% 50.38/33.06 tff(17267,plain,
% 50.38/33.06 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 50.38/33.06 inference(modus_ponens,[status(thm)],[17266, 17262])).
% 50.38/33.06 tff(17268,plain,
% 50.38/33.06 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)))),
% 50.38/33.06 inference(rewrite,[status(thm)],[])).
% 50.38/33.06 tff(17269,plain,
% 50.38/33.06 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)))),
% 50.38/33.06 inference(quant_inst,[status(thm)],[])).
% 50.38/33.06 tff(17270,plain,
% 50.38/33.06 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared))),
% 50.38/33.06 inference(modus_ponens,[status(thm)],[17269, 17268])).
% 50.38/33.06 tff(17271,plain,
% 50.38/33.06 (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[17270, 17267, 17260])).
% 50.38/33.06 tff(17272,plain,
% 50.38/33.06 (m_processor_v_snoop(c_p1, s4, c_shared)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12683, 17271, 6877, 1432, 17245, 17259])).
% 50.38/33.06 tff(17273,plain,
% 50.38/33.06 (~node44(c_p1, s3, s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12766, 17272, 12039])).
% 50.38/33.06 tff(17274,plain,
% 50.38/33.06 (m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12754, 17273, 17257, 17247, 17256])).
% 50.38/33.06 tff(17275,plain,
% 50.38/33.06 (m_main_v_CMD(s3, c_read_h_shared)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[10595, 17274])).
% 50.38/33.06 tff(17276,plain,
% 50.38/33.06 (~m_processor_v_state(c_p0, s3, c_owned)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[11518, 9539, 9596, 9550])).
% 50.38/33.06 tff(17277,plain,
% 50.38/33.06 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_read_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | (~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_read_h_shared)))),
% 50.38/33.06 inference(rewrite,[status(thm)],[])).
% 50.38/33.06 tff(17278,plain,
% 50.38/33.06 (((~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_read_h_owned))) <=> ((~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_read_h_shared)))),
% 50.38/33.06 inference(rewrite,[status(thm)],[])).
% 50.38/33.06 tff(17279,plain,
% 50.38/33.06 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_read_h_owned)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_read_h_shared))))),
% 50.38/33.06 inference(monotonicity,[status(thm)],[17278])).
% 50.38/33.06 tff(17280,plain,
% 50.38/33.06 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_read_h_owned)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | (~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_read_h_shared)))),
% 50.38/33.06 inference(transitivity,[status(thm)],[17279, 17277])).
% 50.38/33.06 tff(17281,plain,
% 50.38/33.06 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_read_h_owned)))),
% 50.38/33.06 inference(quant_inst,[status(thm)],[])).
% 50.38/33.06 tff(17282,plain,
% 50.38/33.06 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_read_h_owned)))) | (~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_read_h_shared))),
% 50.38/33.06 inference(modus_ponens,[status(thm)],[17281, 17280])).
% 50.38/33.06 tff(17283,plain,
% 50.38/33.06 (~m_main_v_CMD(s3, c_read_h_owned)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[17282, 6497, 9539])).
% 50.38/33.06 tff(17284,plain,
% 50.38/33.06 (~m_processor_v_cmd(c_p0, s3, c_idle)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[11516, 9596, 9550, 11484])).
% 50.38/33.06 tff(17285,plain,
% 50.38/33.06 (m_processor_v_master(c_p0, s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[10144, 17284])).
% 50.38/33.06 tff(17286,plain,
% 50.38/33.06 (~node16(s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[9554, 1530, 17285])).
% 50.38/33.06 tff(17287,plain,
% 50.38/33.06 (~m_processor_v_master(c_p2, s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[9562, 17286])).
% 50.38/33.06 tff(17288,plain,
% 50.38/33.06 (m_processor_v_cmd(c_p2, s3, c_idle)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[9594, 17287])).
% 50.38/33.06 tff(17289,plain,
% 50.38/33.06 (node8(s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[11495, 17288])).
% 50.38/33.06 tff(17290,plain,
% 50.38/33.06 (~m_processor_v_cmd(c_p0, s3, c_read_h_owned)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[9621, 17289])).
% 50.38/33.06 tff(17291,plain,
% 50.38/33.06 (m_processor_v_abort(c_p0, s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[9809, 17285, 9816, 11520])).
% 50.38/33.06 tff(17292,plain,
% 50.38/33.06 (node32(c_p0, s3, s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[9403, 17291])).
% 50.38/33.06 tff(17293,plain,
% 50.38/33.06 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[9389, 17292, 1095])).
% 50.38/33.06 tff(17294,plain,
% 50.38/33.06 (m_processor_v_state(c_p0, s3, c_shared)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[9415, 17293, 2642])).
% 50.38/33.06 tff(17295,plain,
% 50.38/33.06 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (node62(c_p0, s3) | (~m_processor_v_master(c_p0, s3)) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | node62(c_p0, s3) | (~m_processor_v_master(c_p0, s3)) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned))),
% 50.38/33.06 inference(rewrite,[status(thm)],[])).
% 50.38/33.06 tff(17296,plain,
% 50.38/33.06 ((m_processor_v_cmd(c_p0, s3, c_read_h_owned) | (~m_processor_v_state(c_p0, s3, c_shared)) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3)) <=> (node62(c_p0, s3) | (~m_processor_v_master(c_p0, s3)) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned))),
% 50.38/33.06 inference(rewrite,[status(thm)],[])).
% 50.38/33.06 tff(17297,plain,
% 50.38/33.06 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p0, s3, c_read_h_owned) | (~m_processor_v_state(c_p0, s3, c_shared)) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (node62(c_p0, s3) | (~m_processor_v_master(c_p0, s3)) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned)))),
% 50.38/33.06 inference(monotonicity,[status(thm)],[17296])).
% 50.38/33.06 tff(17298,plain,
% 50.38/33.06 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p0, s3, c_read_h_owned) | (~m_processor_v_state(c_p0, s3, c_shared)) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | node62(c_p0, s3) | (~m_processor_v_master(c_p0, s3)) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned))),
% 50.38/33.06 inference(transitivity,[status(thm)],[17297, 17295])).
% 50.38/33.06 tff(17299,plain,
% 50.38/33.06 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p0, s3, c_read_h_owned) | (~m_processor_v_state(c_p0, s3, c_shared)) | (~m_processor_v_master(c_p0, s3)) | node62(c_p0, s3))),
% 50.38/33.06 inference(quant_inst,[status(thm)],[])).
% 50.38/33.06 tff(17300,plain,
% 50.38/33.06 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | node62(c_p0, s3) | (~m_processor_v_master(c_p0, s3)) | (~m_processor_v_state(c_p0, s3, c_shared)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned)),
% 50.38/33.06 inference(modus_ponens,[status(thm)],[17299, 17298])).
% 50.38/33.06 tff(17301,plain,
% 50.38/33.06 (node62(c_p0, s3) | m_processor_v_cmd(c_p0, s3, c_read_h_owned)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[17300, 1650, 17294, 17285])).
% 50.38/33.06 tff(17302,plain,
% 50.38/33.06 (node62(c_p0, s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[17301, 17290])).
% 50.38/33.06 tff(17303,plain,
% 50.38/33.06 ($false),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[11424, 1633, 17293, 17302])).
% 50.38/33.06 tff(17304,plain,((~m_processor_v_cmd(c_p1, s3, c_idle)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_memory_v_cmd(c_m, s3, c_idle)) | m_processor_v_state(c_p0, s3, c_owned) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_waiting(c_p0, s4) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | m_main_v_CMD(s3, c_idle)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.06 tff(17305,plain,
% 50.38/33.06 ($false),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[17304, 11374, 17283, 9596, 17276, 1095, 9816, 9550, 11828])).
% 50.38/33.06 tff(17306,plain,((~m_main_v_CMD(s3, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_waiting(c_p0, s4) | (~m_memory_v_cmd(c_m, s3, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.38/33.06 tff(17307,plain,
% 50.38/33.06 (~m_memory_v_cmd(c_m, s3, c_idle)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[17306, 17275, 17250, 17248, 17163])).
% 50.38/33.06 tff(17308,plain,
% 50.38/33.06 (m_memory_v_cmd(c_m, s3, c_response)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12198, 17307])).
% 50.38/33.06 tff(17309,plain,
% 50.38/33.06 (~node11(s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12205, 17307])).
% 50.38/33.06 tff(17310,plain,
% 50.38/33.06 (~node13(s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12220, 17307])).
% 50.38/33.06 tff(17311,plain,
% 50.38/33.06 (~node9(s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12211, 17307])).
% 50.38/33.06 tff(17312,plain,
% 50.38/33.06 (node29(c_m, s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[9510, 17307])).
% 50.38/33.06 tff(17313,plain,
% 50.38/33.06 (m_memory_v_master(c_m, s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[9502, 17312])).
% 50.38/33.06 tff(17314,plain,
% 50.38/33.06 (node17(s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[9494, 17313])).
% 50.38/33.06 tff(17315,plain,
% 50.38/33.06 (~m_processor_v_master(c_p2, s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[10111, 17314])).
% 50.38/33.06 tff(17316,plain,
% 50.38/33.06 (m_processor_v_cmd(c_p2, s3, c_idle)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[9594, 17315])).
% 50.38/33.06 tff(17317,plain,
% 50.38/33.06 (node14(s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12231, 17316, 17248, 17311, 10791, 17310, 17309])).
% 50.38/33.06 tff(17318,plain,
% 50.38/33.06 (m_main_v_CMD(s3, c_response)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12243, 17317, 17308])).
% 50.38/33.06 tff(17319,plain,
% 50.38/33.06 ($false),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12247, 8266, 17275, 17318])).
% 50.38/33.06 tff(17320,plain,((~node67(s4)) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_processor_v_master(c_p1, s4)) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_cmd(c_p2, s4, c_idle)) | m_processor_v_state(c_p1, s7, c_invalid) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s7, c_owned) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p0, s6, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.06 tff(17321,plain,
% 50.38/33.06 (~node67(s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[17320, 17161, 11531, 17003, 17158, 13102, 13405, 4, 53, 5])).
% 50.38/33.06 tff(17322,plain,
% 50.38/33.06 (m_main_v_CMD(s2, c_read_h_owned)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[9278, 17321, 5698, 5949, 52, 6553, 104])).
% 50.38/33.06 tff(17323,plain,
% 50.38/33.06 (m_processor_v_CMD(c_p0, s2, c_read_h_owned)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[5645, 17322])).
% 50.38/33.06 tff(17324,plain,
% 50.38/33.06 (node67(s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[6548, 17321, 6553, 104, 52, 5672])).
% 50.38/33.06 tff(17325,plain,
% 50.38/33.06 (m_processor_v_writable(c_p0, s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[2631, 17324])).
% 50.38/33.06 tff(17326,plain,
% 50.38/33.06 (node56(c_p0, s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[2639, 17325])).
% 50.38/33.06 tff(17327,plain,
% 50.38/33.06 (m_processor_v_state(c_p0, s3, c_owned)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[2650, 17326])).
% 50.38/33.06 tff(17328,plain,
% 50.38/33.06 (~m_processor_v_state(c_p0, s3, c_shared)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[2661, 17327])).
% 50.38/33.06 tff(17329,plain,
% 50.38/33.06 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[2665, 137, 17327])).
% 50.38/33.06 tff(17330,plain,
% 50.38/33.06 (m_processor_v_state(c_p0, s4, c_owned)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[16514, 17327, 9405])).
% 50.38/33.06 tff(17331,plain,
% 50.38/33.06 (~m_processor_v_state(c_p0, s4, c_invalid)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[1757, 17330])).
% 50.38/33.06 tff(17332,plain,
% 50.38/33.06 (m_processor_v_CMD(c_p1, s2, c_read_h_owned)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[5401, 17322])).
% 50.38/33.06 tff(17333,plain,
% 50.38/33.06 (m_processor_v_writable(c_p1, s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[2604, 17324])).
% 50.38/33.06 tff(17334,plain,
% 50.38/33.06 (node56(c_p1, s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[2612, 17333])).
% 50.38/33.06 tff(17335,plain,
% 50.38/33.06 (~m_processor_v_waiting(c_p1, s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[2616, 540, 17334])).
% 50.38/33.06 tff(17336,plain,
% 50.38/33.06 (~m_main_v_CMD(s2, c_read_h_shared)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[8797, 17322])).
% 50.38/33.06 tff(17337,plain,
% 50.38/33.06 (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[8791, 17336])).
% 50.38/33.06 tff(17338,plain,
% 50.38/33.06 (~node47(c_p1, s2)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[5419, 657, 17337])).
% 50.38/33.06 tff(17339,plain,
% 50.38/33.06 (~m_main_v_CMD(s2, c_idle)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[16539, 1971, 17322])).
% 50.38/33.06 tff(17340,plain,
% 50.38/33.06 (m_processor_v_master(c_p0, s2)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[16606, 17339, 17251, 17338, 17335, 17332, 17331, 9405])).
% 50.38/33.06 tff(17341,plain,
% 50.38/33.06 (~m_main_v_CMD(s2, c_write_h_invalid)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[16610, 12451, 17322])).
% 50.38/33.06 tff(17342,plain,
% 50.38/33.06 (~m_main_v_CMD(s2, c_write_h_resp_h_shared)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[16614, 7940, 17322])).
% 50.38/33.06 tff(17343,plain,
% 50.38/33.06 (node8(s2)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[5596, 17340])).
% 50.38/33.06 tff(17344,plain,
% 50.38/33.06 (~m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[16622, 17343, 17342])).
% 50.38/33.06 tff(17345,plain,
% 50.38/33.06 (~m_processor_v_state(c_p0, s2, c_owned)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[16637, 17344, 17341, 17340])).
% 50.38/33.06 tff(17346,plain,
% 50.38/33.06 (~node32(c_p0, s2, s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[16644, 17345, 17329, 17328])).
% 50.38/33.06 tff(17347,plain,
% 50.38/33.06 (~m_processor_v_abort(c_p0, s2)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[2704, 17346])).
% 50.38/33.06 tff(17348,plain,
% 50.38/33.06 (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[17154, 17336])).
% 50.38/33.06 tff(17349,plain,
% 50.38/33.06 (~node47(c_p0, s2)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[5628, 17348])).
% 50.38/33.06 tff(17350,plain,
% 50.38/33.06 (m_processor_v_waiting(c_p0, s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[5636, 17349, 17340, 17347, 17323])).
% 50.38/33.06 tff(17351,plain,
% 50.38/33.06 ($false),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[5651, 540, 17326, 17350])).
% 50.38/33.06 tff(17352,plain,(m_processor_v_master(c_p0, s3) | node67(s9) | m_processor_v_state(c_p1, s8, c_owned) | m_processor_v_state(c_p1, s7, c_invalid) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s7, c_owned) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p0, s6, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.06 tff(17353,plain,
% 50.38/33.06 (m_processor_v_master(c_p0, s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[17352, 4, 5672, 13102, 13405, 5949, 53, 5])).
% 50.38/33.06 tff(17354,plain,
% 50.38/33.06 (~m_processor_v_master(c_p1, s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[9444, 794, 17353])).
% 50.38/33.06 tff(17355,plain,
% 50.38/33.06 (m_processor_v_state(c_p1, s4, c_owned)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[16488, 17354, 16461])).
% 50.38/33.06 tff(17356,plain,
% 50.38/33.06 (m_processor_v_master(c_p1, s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[6865, 17355, 53])).
% 50.38/33.06 tff(17357,plain,
% 50.38/33.06 (~node32(c_p1, s4, s5)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12546, 17355, 53])).
% 50.38/33.06 tff(17358,plain,
% 50.38/33.06 (~m_processor_v_abort(c_p1, s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[6859, 17357])).
% 50.38/33.06 tff(17359,plain,
% 50.38/33.06 (node34(c_p1, s4, s5)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[17176, 17358, 17356])).
% 50.38/33.06 tff(17360,plain,
% 50.38/33.06 (~m_processor_v_master(c_p0, s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[1435, 794, 17356])).
% 50.38/33.06 tff(17361,plain,
% 50.38/33.06 (m_processor_v_cmd(c_p0, s4, c_idle)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12616, 17360])).
% 50.38/33.06 tff(17362,plain,
% 50.38/33.06 (~node17(s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[6871, 17356])).
% 50.38/33.06 tff(17363,plain,
% 50.38/33.06 (~m_memory_v_master(c_m, s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[1295, 17362])).
% 50.38/33.06 tff(17364,plain,
% 50.38/33.06 (~node29(c_m, s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[1310, 17363])).
% 50.38/33.06 tff(17365,plain,
% 50.38/33.06 (m_memory_v_cmd(c_m, s4, c_idle)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[1325, 17364])).
% 50.38/33.06 tff(17366,plain,
% 50.38/33.06 (~node16(s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12622, 17356])).
% 50.38/33.06 tff(17367,plain,
% 50.38/33.06 (~m_processor_v_master(c_p2, s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[1550, 17366])).
% 50.38/33.06 tff(17368,plain,
% 50.38/33.06 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[1582, 17367])).
% 50.38/33.06 tff(17369,assumption,(m_processor_v_state(c_p1, s4, c_shared)), introduced(assumption)).
% 50.38/33.06 tff(17370,plain,
% 50.38/33.06 (~m_processor_v_state(c_p1, s4, c_owned)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[6591, 121, 17369])).
% 50.38/33.06 tff(17371,plain,
% 50.38/33.06 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[16723, 977, 17369])).
% 50.38/33.06 tff(17372,plain,
% 50.38/33.06 (~m_processor_v_state(c_p1, s3, c_owned)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[16477, 6658, 6576])).
% 50.38/33.06 tff(17373,plain,
% 50.38/33.06 (m_processor_v_state(c_p1, s3, c_invalid)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[6646, 17372, 5277])).
% 50.38/33.06 tff(17374,plain,
% 50.38/33.06 ($false),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[6653, 380, 17373, 6713, 6658])).
% 50.38/33.06 tff(17375,plain,((~node32(c_p1, s3, s4)) | m_processor_v_state(c_p1, s4, c_invalid) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s4, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.06 tff(17376,plain,
% 50.38/33.06 (~node32(c_p1, s3, s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[17375, 5277, 17371, 17370])).
% 50.38/33.06 tff(17377,assumption,(node37(c_p1, s3, s4)), introduced(assumption)).
% 50.38/33.06 tff(17378,plain,
% 50.38/33.06 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s3, c_shared) | (~m_processor_v_state(c_p1, s4, c_shared)) | (~node37(c_p1, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s3, c_shared) | (~m_processor_v_state(c_p1, s4, c_shared)) | (~node37(c_p1, s3, s4)))),
% 50.38/33.06 inference(rewrite,[status(thm)],[])).
% 50.38/33.06 tff(17379,plain,
% 50.38/33.06 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s3, c_shared) | (~m_processor_v_state(c_p1, s4, c_shared)) | (~node37(c_p1, s3, s4)))),
% 50.38/33.06 inference(quant_inst,[status(thm)],[])).
% 50.38/33.06 tff(17380,plain,
% 50.38/33.06 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s3, c_shared) | (~m_processor_v_state(c_p1, s4, c_shared)) | (~node37(c_p1, s3, s4))),
% 50.38/33.06 inference(modus_ponens,[status(thm)],[17379, 17378])).
% 50.38/33.06 tff(17381,plain,
% 50.38/33.06 ($false),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[17380, 182, 5277, 17369, 17377])).
% 50.38/33.06 tff(17382,plain,((~m_processor_v_state(c_p1, s4, c_shared)) | m_processor_v_state(c_p1, s3, c_shared) | (~node37(c_p1, s3, s4))), inference(lemma,lemma(discharge,[]))).
% 50.38/33.06 tff(17383,plain,
% 50.38/33.06 (~node37(c_p1, s3, s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[17382, 5277, 17369])).
% 50.38/33.06 tff(17384,plain,
% 50.38/33.06 (m_processor_v_abort(c_p1, s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[6635, 17383, 6607, 5277, 6614])).
% 50.38/33.06 tff(17385,plain,
% 50.38/33.06 ($false),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[6640, 17384, 17376])).
% 50.38/33.06 tff(17386,plain,(m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s4, c_shared))), inference(lemma,lemma(discharge,[]))).
% 50.38/33.06 tff(17387,plain,
% 50.38/33.06 (~m_processor_v_state(c_p1, s4, c_shared)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[17386, 17354, 17164])).
% 50.38/33.06 tff(17388,plain,
% 50.38/33.06 (~node63(c_p1, s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12632, 1809, 17387])).
% 50.38/33.06 tff(17389,plain,
% 50.38/33.06 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[6599, 137, 17355])).
% 50.38/33.06 tff(17390,plain,
% 50.38/33.06 (~node62(c_p1, s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12628, 1633, 17389])).
% 50.38/33.06 tff(17391,plain,
% 50.38/33.06 (~m_processor_v_cmd(c_p1, s4, c_idle)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12699, 17390, 17355, 17356, 17388])).
% 50.38/33.06 tff(17392,plain,
% 50.38/33.06 (~node9(s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12703, 3443, 17391])).
% 50.38/33.06 tff(17393,plain,
% 50.38/33.06 (node10(s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12714, 17392, 17368, 17365, 17361])).
% 50.38/33.06 tff(17394,plain,
% 50.38/33.06 (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[17205, 17359, 53])).
% 50.38/33.06 tff(17395,plain,
% 50.38/33.06 (m_main_v_CMD(s2, c_read_h_owned)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[9278, 5670, 5698, 5949, 52, 6553, 104])).
% 50.38/33.06 tff(17396,plain,
% 50.38/33.06 (~m_main_v_CMD(s2, c_read_h_shared)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[8797, 17395])).
% 50.38/33.06 tff(17397,plain,
% 50.38/33.06 (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[8791, 17396])).
% 50.38/33.06 tff(17398,plain,
% 50.38/33.06 (~node47(c_p1, s2)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[5419, 657, 17397])).
% 50.38/33.06 tff(17399,plain,
% 50.38/33.06 (node67(s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[6548, 5670, 6553, 104, 52, 5672])).
% 50.38/33.06 tff(17400,plain,
% 50.38/33.06 (m_processor_v_writable(c_p1, s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[2604, 17399])).
% 50.38/33.06 tff(17401,plain,
% 50.38/33.06 (node56(c_p1, s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[2612, 17400])).
% 50.38/33.06 tff(17402,plain,
% 50.38/33.06 (~m_processor_v_waiting(c_p1, s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[2616, 540, 17401])).
% 50.38/33.06 tff(17403,plain,
% 50.38/33.06 (m_processor_v_CMD(c_p1, s2, c_read_h_owned)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[5401, 17395])).
% 50.38/33.06 tff(17404,plain,
% 50.38/33.06 (~m_processor_v_master(c_p1, s3)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[9444, 794, 9481])).
% 50.38/33.06 tff(17405,plain,
% 50.38/33.06 (m_processor_v_state(c_p1, s4, c_owned)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[16488, 17404, 2595])).
% 50.38/33.06 tff(17406,plain,
% 50.38/33.06 (~node32(c_p1, s4, s5)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12546, 17405, 53])).
% 50.38/33.06 tff(17407,plain,
% 50.38/33.06 (~m_processor_v_abort(c_p1, s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[6859, 17406])).
% 50.38/33.06 tff(17408,plain,
% 50.38/33.06 (node60(c_p1, s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[1430, 17407])).
% 50.38/33.06 tff(17409,plain,
% 50.38/33.06 (~m_processor_v_REPLY_h_STALL(c_p1, s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[1702, 17408])).
% 50.38/33.06 tff(17410,plain,
% 50.38/33.06 (~m_main_v_REPLY_h_STALL(s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[1718, 17409])).
% 50.38/33.06 tff(17411,plain,
% 50.38/33.06 (node7(s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12555, 17410])).
% 50.38/33.06 tff(17412,plain,
% 50.38/33.06 (~m_memory_v_reply_h_stall(c_m, s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12559, 3923, 17411])).
% 50.38/33.06 tff(17413,plain,
% 50.38/33.06 (m_processor_v_master(c_p1, s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[6865, 17405, 53])).
% 50.38/33.06 tff(17414,plain,
% 50.38/33.06 (~m_processor_v_master(c_p0, s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[1435, 794, 17413])).
% 50.38/33.06 tff(17415,plain,
% 50.38/33.06 (m_processor_v_cmd(c_p0, s4, c_idle)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12616, 17414])).
% 50.38/33.06 tff(17416,plain,
% 50.38/33.06 (~node17(s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[6871, 17413])).
% 50.38/33.06 tff(17417,plain,
% 50.38/33.06 (~m_memory_v_master(c_m, s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[1295, 17416])).
% 50.38/33.06 tff(17418,plain,
% 50.38/33.06 (~node29(c_m, s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[1310, 17417])).
% 50.38/33.06 tff(17419,plain,
% 50.38/33.06 (m_memory_v_cmd(c_m, s4, c_idle)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[1325, 17418])).
% 50.38/33.06 tff(17420,plain,
% 50.38/33.06 (~node16(s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[12622, 17413])).
% 50.38/33.06 tff(17421,plain,
% 50.38/33.06 (~m_processor_v_master(c_p2, s4)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[1550, 17420])).
% 50.38/33.06 tff(17422,plain,
% 50.38/33.06 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[1582, 17421])).
% 50.38/33.06 tff(17423,plain,
% 50.38/33.06 (~m_processor_v_state(c_p1, s4, c_shared)),
% 50.38/33.06 inference(unit_resolution,[status(thm)],[17386, 17404, 5140])).
% 50.38/33.06 tff(17424,plain,
% 50.38/33.06 (~node63(c_p1, s4)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[12632, 1809, 17423])).
% 50.38/33.07 tff(17425,plain,
% 50.38/33.07 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[6599, 137, 17405])).
% 50.38/33.07 tff(17426,plain,
% 50.38/33.07 (~node62(c_p1, s4)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[12628, 1633, 17425])).
% 50.38/33.07 tff(17427,plain,
% 50.38/33.07 (~m_processor_v_cmd(c_p1, s4, c_idle)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[12699, 17426, 17405, 17413, 17424])).
% 50.38/33.07 tff(17428,plain,
% 50.38/33.07 (~node9(s4)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[12703, 3443, 17427])).
% 50.38/33.07 tff(17429,plain,
% 50.38/33.07 (node10(s4)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[12714, 17428, 17422, 17419, 17415])).
% 50.38/33.07 tff(17430,plain,
% 50.38/33.07 (~node17(s3)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[9486, 9481])).
% 50.38/33.07 tff(17431,plain,
% 50.38/33.07 (~m_memory_v_master(c_m, s3)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[9494, 17430])).
% 50.38/33.07 tff(17432,plain,
% 50.38/33.07 (~node29(c_m, s3)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[9502, 17431])).
% 50.38/33.07 tff(17433,plain,
% 50.38/33.07 (m_memory_v_cmd(c_m, s3, c_idle)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[9510, 17432])).
% 50.38/33.07 tff(17434,plain,
% 50.38/33.07 (m_processor_v_cmd(c_p1, s3, c_idle)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[9478, 17404])).
% 50.38/33.07 tff(17435,plain,
% 50.38/33.07 (m_processor_v_writable(c_p0, s3)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[2631, 17399])).
% 50.38/33.07 tff(17436,plain,
% 50.38/33.07 (node56(c_p0, s3)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[2639, 17435])).
% 50.38/33.07 tff(17437,plain,
% 50.38/33.07 (m_processor_v_state(c_p0, s3, c_owned)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[2650, 17436])).
% 50.38/33.07 tff(17438,plain,
% 50.38/33.07 (~m_main_v_CMD(s3, c_read_h_shared)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[11518, 17437, 17434, 17433])).
% 50.38/33.07 tff(17439,plain,
% 50.38/33.07 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[10595, 17438])).
% 50.38/33.07 tff(17440,plain,
% 50.38/33.07 (~node41(c_p1, s3)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[12740, 8378, 17439])).
% 50.38/33.07 tff(17441,plain,
% 50.38/33.07 (~node40(c_p1, s3)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[12736, 8367, 17439])).
% 50.38/33.07 tff(17442,assumption,(~node40(c_p1, s3)), introduced(assumption)).
% 50.38/33.07 tff(17443,assumption,(~node41(c_p1, s3)), introduced(assumption)).
% 50.38/33.07 tff(17444,plain,
% 50.38/33.07 (~node39(c_p1, s3, s4)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[12797, 12789, 11796])).
% 50.38/33.07 tff(17445,plain,
% 50.38/33.07 (~m_processor_v_abort(c_p1, s3)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[12786, 17444])).
% 50.38/33.07 tff(17446,plain,
% 50.38/33.07 (node44(c_p1, s3, s4)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[12752, 17445, 17442, 17443, 12733, 12732])).
% 50.38/33.07 tff(17447,plain,
% 50.38/33.07 (~m_processor_v_snoop(c_p1, s4, c_shared)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[12766, 17446, 12039])).
% 50.38/33.07 tff(17448,plain,
% 50.38/33.07 (~m_processor_v_snoop(c_p1, s4, c_owned)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[12936, 17446, 12044])).
% 50.38/33.07 tff(17449,plain,
% 50.38/33.07 (m_processor_v_snoop(c_p1, s4, c_invalid) | m_processor_v_snoop(c_p1, s4, c_shared) | m_processor_v_snoop(c_p1, s4, c_owned)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[12680, 7213])).
% 50.38/33.07 tff(17450,plain,
% 50.38/33.07 ($false),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[17449, 17448, 17447, 12789])).
% 50.38/33.07 tff(17451,plain,(m_processor_v_snoop(c_p1, s4, c_invalid) | node40(c_p1, s3) | node41(c_p1, s3) | node42(c_p1, s3) | node43(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 50.38/33.07 tff(17452,plain,
% 50.38/33.07 ($false),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[17451, 12931, 12930, 11796, 17443, 12789, 17442])).
% 50.38/33.07 tff(17453,plain,(m_processor_v_master(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | node41(c_p1, s3) | m_processor_v_snoop(c_p1, s4, c_invalid) | node40(c_p1, s3)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.07 tff(17454,plain,
% 50.38/33.07 (m_processor_v_snoop(c_p1, s4, c_invalid)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[17453, 17441, 17003, 17404, 17440])).
% 50.38/33.07 tff(17455,plain,
% 50.38/33.07 (((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | ((~m_processor_v_snoop(c_p1, s4, c_invalid)) | (~m_processor_v_snoop(c_p1, s4, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | (~m_processor_v_snoop(c_p1, s4, c_invalid)) | (~m_processor_v_snoop(c_p1, s4, c_owned)))),
% 50.38/33.07 inference(rewrite,[status(thm)],[])).
% 50.38/33.07 tff(17456,plain,
% 50.38/33.07 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | ((~m_processor_v_snoop(c_p1, s4, c_invalid)) | (~m_processor_v_snoop(c_p1, s4, c_owned)))),
% 50.38/33.07 inference(quant_inst,[status(thm)],[])).
% 50.38/33.07 tff(17457,plain,
% 50.38/33.07 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | (~m_processor_v_snoop(c_p1, s4, c_invalid)) | (~m_processor_v_snoop(c_p1, s4, c_owned))),
% 50.38/33.07 inference(modus_ponens,[status(thm)],[17456, 17455])).
% 50.38/33.07 tff(17458,plain,
% 50.38/33.07 (~m_processor_v_snoop(c_p1, s4, c_owned)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[17457, 4071, 17454])).
% 50.38/33.07 tff(17459,plain,
% 50.38/33.07 (~node64(c_p1, s4)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[12697, 4082, 17458])).
% 50.38/33.07 tff(17460,plain,
% 50.38/33.07 (node34(c_p1, s4, s5)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[17176, 17407, 17413])).
% 50.38/33.07 tff(17461,plain,
% 50.38/33.07 (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[17205, 17460, 53])).
% 50.38/33.07 tff(17462,plain,
% 50.38/33.07 (((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p1, s4, c_invalid)) | (~m_processor_v_snoop(c_p1, s4, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p1, s4, c_invalid)) | (~m_processor_v_snoop(c_p1, s4, c_shared)))),
% 50.38/33.07 inference(rewrite,[status(thm)],[])).
% 50.38/33.07 tff(17463,plain,
% 50.38/33.07 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p1, s4, c_invalid)) | (~m_processor_v_snoop(c_p1, s4, c_shared)))),
% 50.38/33.07 inference(quant_inst,[status(thm)],[])).
% 50.38/33.07 tff(17464,plain,
% 50.38/33.07 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p1, s4, c_invalid)) | (~m_processor_v_snoop(c_p1, s4, c_shared))),
% 50.38/33.07 inference(modus_ponens,[status(thm)],[17463, 17462])).
% 50.38/33.07 tff(17465,plain,
% 50.38/33.07 (~m_processor_v_snoop(c_p1, s4, c_shared)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[17464, 4096, 17454])).
% 50.38/33.07 tff(17466,plain,
% 50.38/33.07 (~node65(c_p1, s4)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[12663, 4107, 17465])).
% 50.38/33.07 tff(17467,plain,
% 50.38/33.07 (m_processor_v_cmd(c_p1, s4, c_write_h_invalid) | node62(c_p1, s4) | node64(c_p1, s4) | (~m_processor_v_snoop(c_p1, s4, c_invalid)) | node65(c_p1, s4) | node63(c_p1, s4)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[12670, 7232, 17413, 17405])).
% 50.38/33.07 tff(17468,plain,
% 50.38/33.07 (m_processor_v_cmd(c_p1, s4, c_write_h_invalid)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[17467, 17459, 17424, 17426, 17454, 17466])).
% 50.38/33.07 tff(17469,plain,
% 50.38/33.07 (m_processor_v_state(c_p1, s5, c_invalid)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[17244, 17468, 17461, 17429, 17460])).
% 50.38/33.07 tff(17470,plain,
% 50.38/33.07 (~m_processor_v_state(c_p1, s5, c_shared)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[16733, 17469])).
% 50.38/33.07 tff(17471,plain,
% 50.38/33.07 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~m_main_v_CMD(s4, c_write_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~m_main_v_CMD(s4, c_write_h_shared)))),
% 50.38/33.07 inference(rewrite,[status(thm)],[])).
% 50.38/33.07 tff(17472,plain,
% 50.38/33.07 (((~m_main_v_CMD(s4, c_write_h_shared)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared))) <=> ((~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~m_main_v_CMD(s4, c_write_h_shared)))),
% 50.38/33.07 inference(rewrite,[status(thm)],[])).
% 50.38/33.07 tff(17473,plain,
% 50.38/33.07 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s4, c_write_h_shared)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~m_main_v_CMD(s4, c_write_h_shared))))),
% 50.38/33.07 inference(monotonicity,[status(thm)],[17472])).
% 50.38/33.07 tff(17474,plain,
% 50.38/33.07 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s4, c_write_h_shared)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~m_main_v_CMD(s4, c_write_h_shared)))),
% 50.38/33.07 inference(transitivity,[status(thm)],[17473, 17471])).
% 50.38/33.07 tff(17475,plain,
% 50.38/33.07 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s4, c_write_h_shared)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)))),
% 50.38/33.07 inference(quant_inst,[status(thm)],[])).
% 50.38/33.07 tff(17476,plain,
% 50.38/33.07 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~m_main_v_CMD(s4, c_write_h_shared))),
% 50.38/33.07 inference(modus_ponens,[status(thm)],[17475, 17474])).
% 50.38/33.07 tff(17477,plain,
% 50.38/33.07 (~m_main_v_CMD(s4, c_write_h_shared)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[17476, 8489, 12859])).
% 50.38/33.07 tff(17478,plain,
% 50.38/33.07 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s4, c_write_h_shared) | (~node3(s4)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s4, c_write_h_shared) | (~node3(s4)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_shared)))),
% 50.38/33.07 inference(rewrite,[status(thm)],[])).
% 50.38/33.07 tff(17479,plain,
% 50.38/33.07 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s4, c_write_h_shared) | (~node3(s4)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_shared)))),
% 50.38/33.07 inference(quant_inst,[status(thm)],[])).
% 50.38/33.07 tff(17480,plain,
% 50.38/33.07 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s4, c_write_h_shared) | (~node3(s4)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_shared))),
% 50.38/33.07 inference(modus_ponens,[status(thm)],[17479, 17478])).
% 50.38/33.07 tff(17481,plain,
% 50.38/33.07 (~m_processor_v_CMD(c_p1, s4, c_write_h_shared)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[17480, 1260, 1250, 17477])).
% 50.38/33.07 tff(17482,assumption,(~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.38/33.07 tff(17483,plain,
% 50.38/33.07 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node3(s4)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node3(s4)))),
% 50.38/33.07 inference(rewrite,[status(thm)],[])).
% 50.38/33.07 tff(17484,plain,
% 50.38/33.07 (((~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node3(s4)) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node3(s4)))),
% 50.38/33.07 inference(rewrite,[status(thm)],[])).
% 50.38/33.07 tff(17485,plain,
% 50.38/33.07 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node3(s4)) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node3(s4))))),
% 50.38/33.07 inference(monotonicity,[status(thm)],[17484])).
% 50.38/33.07 tff(17486,plain,
% 50.38/33.07 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node3(s4)) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node3(s4)))),
% 50.38/33.07 inference(transitivity,[status(thm)],[17485, 17483])).
% 50.38/33.07 tff(17487,plain,
% 50.38/33.07 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node3(s4)) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared))),
% 50.38/33.07 inference(quant_inst,[status(thm)],[])).
% 50.38/33.07 tff(17488,plain,
% 50.38/33.07 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node3(s4))),
% 50.38/33.07 inference(modus_ponens,[status(thm)],[17487, 17486])).
% 50.38/33.07 tff(17489,plain,
% 50.38/33.07 ($false),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[17488, 1945, 1250, 12859, 17482])).
% 50.38/33.07 tff(17490,plain,((~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.38/33.07 tff(17491,plain,
% 50.38/33.07 (m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[17490, 12859])).
% 50.38/33.07 tff(17492,plain,
% 50.38/33.07 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p1, s5, c_shared) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p1, s5, c_shared) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)))),
% 50.38/33.07 inference(rewrite,[status(thm)],[])).
% 50.38/33.07 tff(17493,plain,
% 50.38/33.07 (((~node34(c_p1, s4, s5)) | m_processor_v_state(c_p1, s5, c_shared) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared))) <=> (m_processor_v_state(c_p1, s5, c_shared) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)))),
% 50.38/33.07 inference(rewrite,[status(thm)],[])).
% 50.38/33.07 tff(17494,plain,
% 50.38/33.07 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s4, s5)) | m_processor_v_state(c_p1, s5, c_shared) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p1, s5, c_shared) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared))))),
% 50.38/33.07 inference(monotonicity,[status(thm)],[17493])).
% 50.38/33.07 tff(17495,plain,
% 50.38/33.07 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s4, s5)) | m_processor_v_state(c_p1, s5, c_shared) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p1, s5, c_shared) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)))),
% 50.38/33.07 inference(transitivity,[status(thm)],[17494, 17492])).
% 50.38/33.07 tff(17496,plain,
% 50.38/33.07 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s4, s5)) | m_processor_v_state(c_p1, s5, c_shared) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)))),
% 50.38/33.07 inference(quant_inst,[status(thm)],[])).
% 50.38/33.07 tff(17497,plain,
% 50.38/33.07 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p1, s5, c_shared) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared))),
% 50.38/33.07 inference(modus_ponens,[status(thm)],[17496, 17495])).
% 50.38/33.07 tff(17498,plain,
% 50.38/33.07 (m_processor_v_state(c_p1, s5, c_shared) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared))),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[17497, 416, 17187])).
% 50.38/33.07 tff(17499,plain,
% 50.38/33.07 (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[17498, 160])).
% 50.38/33.07 tff(17500,plain,
% 50.38/33.07 (^[X: $i] : refl(((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))))),
% 50.38/33.07 inference(bind,[status(th)],[])).
% 50.38/33.07 tff(17501,plain,
% 50.38/33.07 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 50.38/33.07 inference(quant_intro,[status(thm)],[17500])).
% 50.38/33.07 tff(17502,plain,
% 50.38/33.07 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 50.38/33.07 inference(rewrite,[status(thm)],[])).
% 50.38/33.07 tff(17503,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_32')).
% 50.38/33.07 tff(17504,plain,
% 50.38/33.07 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 50.38/33.07 inference(modus_ponens,[status(thm)],[17503, 17502])).
% 50.38/33.07 tff(17505,plain,(
% 50.38/33.07 ![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 50.38/33.07 inference(skolemize,[status(sab)],[17504])).
% 50.38/33.07 tff(17506,plain,
% 50.38/33.07 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 50.38/33.07 inference(modus_ponens,[status(thm)],[17505, 17501])).
% 50.38/33.07 tff(17507,plain,
% 50.38/33.07 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)))),
% 50.38/33.07 inference(rewrite,[status(thm)],[])).
% 50.38/33.07 tff(17508,plain,
% 50.38/33.07 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)))),
% 50.38/33.07 inference(quant_inst,[status(thm)],[])).
% 50.38/33.07 tff(17509,plain,
% 50.38/33.07 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared))),
% 50.38/33.07 inference(modus_ponens,[status(thm)],[17508, 17507])).
% 50.38/33.07 tff(17510,plain,
% 50.38/33.07 (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)),
% 50.38/33.07 inference(unit_resolution,[status(thm)],[17509, 17506, 12859])).
% 50.38/33.07 tff(17511,plain,
% 50.38/33.07 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s4, c_write_h_resp_h_invalid) | (~node3(s4)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s4, c_write_h_resp_h_invalid) | (~node3(s4)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid)))),
% 50.38/33.07 inference(rewrite,[status(thm)],[])).
% 50.38/33.07 tff(17512,plain,
% 50.38/33.07 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s4, c_write_h_resp_h_invalid) | (~node3(s4)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid)))),
% 50.38/33.07 inference(quant_inst,[status(thm)],[])).
% 50.38/33.07 tff(17513,plain,
% 50.38/33.07 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s4, c_write_h_resp_h_invalid) | (~node3(s4)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid))),
% 50.46/33.07 inference(modus_ponens,[status(thm)],[17512, 17511])).
% 50.46/33.07 tff(17514,plain,
% 50.46/33.07 (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid)),
% 50.46/33.07 inference(unit_resolution,[status(thm)],[17513, 1260, 1250, 17510])).
% 50.46/33.07 tff(17515,plain,
% 50.46/33.07 (^[X: $i] : refl(((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))))),
% 50.46/33.07 inference(bind,[status(th)],[])).
% 50.46/33.07 tff(17516,plain,
% 50.46/33.07 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 50.46/33.07 inference(quant_intro,[status(thm)],[17515])).
% 50.46/33.07 tff(17517,plain,
% 50.46/33.07 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 50.46/33.07 inference(rewrite,[status(thm)],[])).
% 50.46/33.07 tff(17518,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_25')).
% 50.46/33.07 tff(17519,plain,
% 50.46/33.07 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 50.46/33.07 inference(modus_ponens,[status(thm)],[17518, 17517])).
% 50.46/33.07 tff(17520,plain,(
% 50.46/33.07 ![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 50.46/33.07 inference(skolemize,[status(sab)],[17519])).
% 50.46/33.07 tff(17521,plain,
% 50.46/33.07 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))),
% 50.46/33.07 inference(modus_ponens,[status(thm)],[17520, 17516])).
% 50.46/33.07 tff(17522,plain,
% 50.46/33.07 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s4, c_write_h_invalid)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s4, c_write_h_invalid)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)))),
% 50.46/33.07 inference(rewrite,[status(thm)],[])).
% 50.46/33.07 tff(17523,plain,
% 50.46/33.07 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s4, c_write_h_invalid)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)))),
% 50.46/33.07 inference(quant_inst,[status(thm)],[])).
% 50.46/33.07 tff(17524,plain,
% 50.46/33.07 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s4, c_write_h_invalid)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared))),
% 50.46/33.07 inference(modus_ponens,[status(thm)],[17523, 17522])).
% 50.46/33.07 tff(17525,plain,
% 50.46/33.07 (~m_main_v_CMD(s4, c_write_h_invalid)),
% 50.46/33.07 inference(unit_resolution,[status(thm)],[17524, 17521, 12859])).
% 50.46/33.07 tff(17526,plain,
% 50.46/33.07 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s4, c_write_h_invalid) | (~node3(s4)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s4, c_write_h_invalid) | (~node3(s4)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_invalid)))),
% 50.46/33.07 inference(rewrite,[status(thm)],[])).
% 50.46/33.07 tff(17527,plain,
% 50.46/33.07 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s4, c_write_h_invalid) | (~node3(s4)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_invalid)))),
% 50.46/33.07 inference(quant_inst,[status(thm)],[])).
% 50.46/33.07 tff(17528,plain,
% 50.46/33.07 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s4, c_write_h_invalid) | (~node3(s4)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_invalid))),
% 50.46/33.07 inference(modus_ponens,[status(thm)],[17527, 17526])).
% 50.46/33.07 tff(17529,plain,
% 50.46/33.07 (~m_processor_v_CMD(c_p1, s4, c_write_h_invalid)),
% 50.46/33.07 inference(unit_resolution,[status(thm)],[17528, 1260, 1250, 17525])).
% 50.46/33.07 tff(17530,plain,
% 50.46/33.07 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_shared) | m_processor_v_state(c_p1, s5, c_shared) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_shared) | m_processor_v_state(c_p1, s5, c_shared) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared)))),
% 50.46/33.07 inference(rewrite,[status(thm)],[])).
% 50.46/33.07 tff(17531,plain,
% 50.46/33.07 (((~node34(c_p1, s4, s5)) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared))) <=> (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_shared) | m_processor_v_state(c_p1, s5, c_shared) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared)))),
% 50.46/33.07 inference(rewrite,[status(thm)],[])).
% 50.46/33.07 tff(17532,plain,
% 50.46/33.07 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s4, s5)) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_shared) | m_processor_v_state(c_p1, s5, c_shared) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared))))),
% 50.46/33.07 inference(monotonicity,[status(thm)],[17531])).
% 50.46/33.07 tff(17533,plain,
% 50.46/33.07 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s4, s5)) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_shared) | m_processor_v_state(c_p1, s5, c_shared) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared)))),
% 50.46/33.08 inference(transitivity,[status(thm)],[17532, 17530])).
% 50.46/33.08 tff(17534,plain,
% 50.46/33.08 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s4, s5)) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared)))),
% 50.46/33.08 inference(quant_inst,[status(thm)],[])).
% 50.46/33.08 tff(17535,plain,
% 50.46/33.08 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_shared) | m_processor_v_state(c_p1, s5, c_shared) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared))),
% 50.46/33.08 inference(modus_ponens,[status(thm)],[17534, 17533])).
% 50.46/33.08 tff(17536,plain,
% 50.46/33.08 (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_shared) | m_processor_v_state(c_p1, s5, c_shared) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared))),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[17535, 492, 17187])).
% 50.46/33.08 tff(17537,plain,
% 50.46/33.08 ($false),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[17536, 17529, 17514, 160, 1935, 17499, 17491, 17481])).
% 50.46/33.08 tff(17538,plain,((~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | (~node34(c_p1, s4, s5))), inference(lemma,lemma(discharge,[]))).
% 50.46/33.08 tff(17539,plain,
% 50.46/33.08 (~m_main_v_CMD(s4, c_write_h_resp_h_shared)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[17538, 17470, 17460, 17461])).
% 50.46/33.08 tff(17540,plain,
% 50.46/33.08 (m_main_v_CMD(s4, c_write_h_invalid)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[12926, 17539, 17405, 17413, 17459, 17424, 17426, 17429])).
% 50.46/33.08 tff(17541,plain,
% 50.46/33.08 (m_memory_v_CMD(c_m, s4, c_write_h_invalid)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[12589, 17540])).
% 50.46/33.08 tff(17542,plain,
% 50.46/33.08 (~node30(c_m, s4)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[12577, 17541])).
% 50.46/33.08 tff(17543,plain,
% 50.46/33.08 (~m_memory_v_busy(c_m, s4)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[12569, 17542, 17412])).
% 50.46/33.08 tff(17544,plain,
% 50.46/33.08 (m_processor_v_master(c_p1, s5)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[16744, 17469, 114])).
% 50.46/33.08 tff(17545,plain,
% 50.46/33.08 (~m_processor_v_master(c_p0, s5)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[797, 794, 17544])).
% 50.46/33.08 tff(17546,plain,
% 50.46/33.08 (~m_processor_v_state(c_p0, s5, c_owned)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[6996, 17545, 5])).
% 50.46/33.08 tff(17547,plain,
% 50.46/33.08 (~m_processor_v_state(c_p0, s4, c_owned)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[6927, 17546, 17414])).
% 50.46/33.08 tff(17548,plain,
% 50.46/33.08 (~m_processor_v_state(c_p1, s2, c_invalid)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[5390, 17403, 17402, 17398, 2621])).
% 50.46/33.08 tff(17549,plain,
% 50.46/33.08 (m_processor_v_state(c_p0, s2, c_invalid)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[5074, 17548])).
% 50.46/33.08 tff(17550,plain,
% 50.46/33.08 (~node32(c_p0, s2, s3)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[5496, 2666, 5494])).
% 50.46/33.08 tff(17551,plain,
% 50.46/33.08 (~m_processor_v_abort(c_p0, s2)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[2704, 17550])).
% 50.46/33.08 tff(17552,plain,
% 50.46/33.08 (node60(c_p0, s2)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[10475, 17551])).
% 50.46/33.08 tff(17553,plain,
% 50.46/33.08 (~m_processor_v_REPLY_h_STALL(c_p0, s2)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[10468, 17552])).
% 50.46/33.08 tff(17554,plain,
% 50.46/33.08 (~m_main_v_REPLY_h_STALL(s2)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[10461, 17553])).
% 50.46/33.08 tff(17555,plain,
% 50.46/33.08 (~m_memory_v_REPLY_h_STALL(c_m, s2)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[9940, 17554])).
% 50.46/33.08 tff(17556,plain,
% 50.46/33.08 (m_processor_v_master(c_p0, s2)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[2775, 2652, 9376])).
% 50.46/33.08 tff(17557,plain,
% 50.46/33.08 (~node17(s2)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[5569, 1275, 17556])).
% 50.46/33.08 tff(17558,plain,
% 50.46/33.08 (~m_memory_v_master(c_m, s2)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[5179, 17557])).
% 50.46/33.08 tff(17559,plain,
% 50.46/33.08 (~node19(c_m, s2)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[10030, 17558])).
% 50.46/33.08 tff(17560,plain,
% 50.46/33.08 (node7(s2)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[9916, 17554])).
% 50.46/33.08 tff(17561,plain,
% 50.46/33.08 (~m_memory_v_reply_h_stall(c_m, s2)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[9924, 17560])).
% 50.46/33.08 tff(17562,plain,
% 50.46/33.08 (node30(c_m, s2)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[9933, 9926, 9928])).
% 50.46/33.08 tff(17563,plain,
% 50.46/33.08 (~m_memory_v_CMD(c_m, s2, c_read_h_shared)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[10345, 17562])).
% 50.46/33.08 tff(17564,plain,
% 50.46/33.08 (~node22(c_m, s2, s3)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[12000, 9926, 9847])).
% 50.46/33.08 tff(17565,plain,
% 50.46/33.08 (~m_memory_v_CMD(c_m, s2, c_read_h_owned)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[9907, 17562])).
% 50.46/33.08 tff(17566,assumption,(~node22(c_m, s2, s3)), introduced(assumption)).
% 50.46/33.08 tff(17567,plain,
% 50.46/33.08 (~node21(c_m, s2)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[10422, 10347, 9890])).
% 50.46/33.08 tff(17568,plain,
% 50.46/33.08 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | ((~node27(c_m, s2)) | m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (~node27(c_m, s2)) | m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared))),
% 50.46/33.08 inference(rewrite,[status(thm)],[])).
% 50.46/33.08 tff(17569,plain,
% 50.46/33.08 ((m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared) | (~node27(c_m, s2))) <=> ((~node27(c_m, s2)) | m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared))),
% 50.46/33.08 inference(rewrite,[status(thm)],[])).
% 50.46/33.08 tff(17570,plain,
% 50.46/33.08 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared) | (~node27(c_m, s2)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | ((~node27(c_m, s2)) | m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared)))),
% 50.46/33.08 inference(monotonicity,[status(thm)],[17569])).
% 50.46/33.08 tff(17571,plain,
% 50.46/33.08 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared) | (~node27(c_m, s2)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (~node27(c_m, s2)) | m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared))),
% 50.46/33.08 inference(transitivity,[status(thm)],[17570, 17568])).
% 50.46/33.08 tff(17572,plain,
% 50.46/33.08 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared) | (~node27(c_m, s2)))),
% 50.46/33.08 inference(quant_inst,[status(thm)],[])).
% 50.46/33.08 tff(17573,plain,
% 50.46/33.08 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (~node27(c_m, s2)) | m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared)),
% 50.46/33.08 inference(modus_ponens,[status(thm)],[17572, 17571])).
% 50.46/33.08 tff(17574,plain,
% 50.46/33.08 (~node27(c_m, s2)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[17573, 4738, 10347, 9890])).
% 50.46/33.08 tff(17575,plain,
% 50.46/33.08 ($false),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[10044, 4643, 9970, 10041, 10040, 17574])).
% 50.46/33.08 tff(17576,plain,(node28(c_m, s2) | m_memory_v_REPLY_h_STALL(c_m, s2) | (~m_memory_v_abort(c_m, s2)) | m_memory_v_CMD(c_m, s2, c_read_h_shared) | m_memory_v_CMD(c_m, s2, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 50.46/33.08 tff(17577,plain,
% 50.46/33.08 (node28(c_m, s2)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[17576, 9890, 10041, 10347, 9970])).
% 50.46/33.08 tff(17578,plain,
% 50.46/33.08 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | ((~node28(c_m, s2)) | m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | (~node28(c_m, s2)) | m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared))),
% 50.46/33.08 inference(rewrite,[status(thm)],[])).
% 50.46/33.08 tff(17579,plain,
% 50.46/33.08 ((m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared) | (~node28(c_m, s2))) <=> ((~node28(c_m, s2)) | m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared))),
% 50.46/33.08 inference(rewrite,[status(thm)],[])).
% 50.46/33.08 tff(17580,plain,
% 50.46/33.08 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | (m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared) | (~node28(c_m, s2)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | ((~node28(c_m, s2)) | m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared)))),
% 50.46/33.08 inference(monotonicity,[status(thm)],[17579])).
% 50.46/33.08 tff(17581,plain,
% 50.46/33.08 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | (m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared) | (~node28(c_m, s2)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | (~node28(c_m, s2)) | m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared))),
% 50.46/33.08 inference(transitivity,[status(thm)],[17580, 17578])).
% 50.46/33.08 tff(17582,plain,
% 50.46/33.08 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | (m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared) | (~node28(c_m, s2)))),
% 50.46/33.08 inference(quant_inst,[status(thm)],[])).
% 50.46/33.08 tff(17583,plain,
% 50.46/33.08 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | (~node28(c_m, s2)) | m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared)),
% 50.46/33.08 inference(modus_ponens,[status(thm)],[17582, 17581])).
% 50.46/33.08 tff(17584,plain,
% 50.46/33.08 ($false),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[17583, 4717, 10347, 9890, 10033])).
% 50.46/33.08 tff(17585,plain,((~node28(c_m, s2)) | m_memory_v_CMD(c_m, s2, c_read_h_shared) | m_memory_v_CMD(c_m, s2, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 50.46/33.08 tff(17586,plain,
% 50.46/33.08 ($false),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[17585, 17577, 9890, 10347])).
% 50.46/33.08 tff(17587,plain,(m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_CMD(c_m, s2, c_read_h_shared) | (~m_memory_v_abort(c_m, s2)) | m_memory_v_REPLY_h_STALL(c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 50.46/33.08 tff(17588,plain,
% 50.46/33.08 (~m_memory_v_abort(c_m, s2)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[17587, 10347, 9890, 9970])).
% 50.46/33.08 tff(17589,plain,
% 50.46/33.08 ($false),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[10387, 17588, 17567, 10362, 17566])).
% 50.46/33.08 tff(17590,plain,(m_memory_v_CMD(c_m, s2, c_read_h_shared) | node19(c_m, s2) | node22(c_m, s2, s3) | m_memory_v_CMD(c_m, s2, c_read_h_owned) | m_memory_v_REPLY_h_STALL(c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 50.46/33.08 tff(17591,plain,
% 50.46/33.08 ($false),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[17590, 17565, 17564, 9970, 10362, 17563])).
% 50.46/33.08 tff(17592,plain,((~m_memory_v_busy(c_m, s2)) | m_memory_v_REPLY_h_STALL(c_m, s2) | node19(c_m, s2) | m_memory_v_busy(c_m, s3) | m_memory_v_reply_h_stall(c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 50.46/33.08 tff(17593,plain,
% 50.46/33.08 (m_memory_v_busy(c_m, s3)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[17592, 17561, 9926, 17559, 17555])).
% 50.46/33.08 tff(17594,plain,
% 50.46/33.08 (~node18(c_m, s3, s4)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[9866, 17593, 2065])).
% 50.46/33.08 tff(17595,plain,
% 50.46/33.08 (m_processor_v_master(c_p0, s3)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[16514, 2652, 54])).
% 50.46/33.08 tff(17596,plain,
% 50.46/33.08 (~node17(s3)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[9486, 17595])).
% 50.46/33.08 tff(17597,plain,
% 50.46/33.08 (~m_memory_v_master(c_m, s3)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[9494, 17596])).
% 50.46/33.08 tff(17598,plain,
% 50.46/33.08 (~node22(c_m, s3, s4)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[9885, 17593, 2065])).
% 50.46/33.08 tff(17599,plain,
% 50.46/33.08 (m_memory_v_abort(c_m, s3)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[10012, 17598, 2065, 17597])).
% 50.46/33.08 tff(17600,plain,
% 50.46/33.08 ($false),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[9878, 17599, 17594])).
% 50.46/33.08 tff(17601,plain,((~m_processor_v_state(c_p0, s3, c_owned)) | m_memory_v_busy(c_m, s4) | (~m_memory_v_busy(c_m, s2)) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s4, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.46/33.08 tff(17602,plain,
% 50.46/33.08 (~m_memory_v_busy(c_m, s2)),
% 50.46/33.08 inference(unit_resolution,[status(thm)],[17601, 17549, 17437, 17547, 17543])).
% 50.46/33.08 tff(17603,plain,
% 50.46/33.08 (((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | ((~node29(c_m, s2)) | m_memory_v_busy(c_m, s2))) <=> ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (~node29(c_m, s2)) | m_memory_v_busy(c_m, s2))),
% 50.46/33.08 inference(rewrite,[status(thm)],[])).
% 50.46/33.08 tff(17604,plain,
% 50.46/33.08 ((m_memory_v_busy(c_m, s2) | (~node29(c_m, s2))) <=> ((~node29(c_m, s2)) | m_memory_v_busy(c_m, s2))),
% 50.46/33.08 inference(rewrite,[status(thm)],[])).
% 50.46/33.08 tff(17605,plain,
% 50.46/33.08 (((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s2) | (~node29(c_m, s2)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | ((~node29(c_m, s2)) | m_memory_v_busy(c_m, s2)))),
% 50.46/33.08 inference(monotonicity,[status(thm)],[17604])).
% 50.46/33.08 tff(17606,plain,
% 50.46/33.08 (((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s2) | (~node29(c_m, s2)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (~node29(c_m, s2)) | m_memory_v_busy(c_m, s2))),
% 50.47/33.08 inference(transitivity,[status(thm)],[17605, 17603])).
% 50.47/33.08 tff(17607,plain,
% 50.47/33.08 ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s2) | (~node29(c_m, s2)))),
% 50.47/33.08 inference(quant_inst,[status(thm)],[])).
% 50.47/33.08 tff(17608,plain,
% 50.47/33.08 ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (~node29(c_m, s2)) | m_memory_v_busy(c_m, s2)),
% 50.47/33.08 inference(modus_ponens,[status(thm)],[17607, 17606])).
% 50.47/33.08 tff(17609,plain,
% 50.47/33.08 ($false),
% 50.47/33.08 inference(unit_resolution,[status(thm)],[17608, 2072, 5181, 9969])).
% 50.47/33.08 tff(17610,plain,((~node29(c_m, s2)) | m_memory_v_busy(c_m, s2)), inference(lemma,lemma(discharge,[]))).
% 50.47/33.08 tff(17611,plain,
% 50.47/33.08 (~node29(c_m, s2)),
% 50.47/33.08 inference(unit_resolution,[status(thm)],[17610, 17602])).
% 50.47/33.08 tff(17612,plain,
% 50.47/33.08 (m_memory_v_cmd(c_m, s2, c_idle)),
% 50.47/33.08 inference(unit_resolution,[status(thm)],[5195, 17611])).
% 50.47/33.08 tff(17613,plain,
% 50.47/33.08 (~m_main_v_CMD(s2, c_idle)),
% 50.47/33.08 inference(unit_resolution,[status(thm)],[16539, 1971, 17395])).
% 50.47/33.08 tff(17614,plain,
% 50.47/33.08 (m_processor_v_CMD(c_p0, s2, c_read_h_owned)),
% 50.47/33.08 inference(unit_resolution,[status(thm)],[5645, 17395])).
% 50.47/33.08 tff(17615,plain,
% 50.47/33.08 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s4, c_response)) | (~m_main_v_CMD(s4, c_write_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s4, c_response)) | (~m_main_v_CMD(s4, c_write_h_invalid)))),
% 50.47/33.08 inference(rewrite,[status(thm)],[])).
% 50.47/33.08 tff(17616,plain,
% 50.47/33.08 (((~m_main_v_CMD(s4, c_write_h_invalid)) | (~m_main_v_CMD(s4, c_response))) <=> ((~m_main_v_CMD(s4, c_response)) | (~m_main_v_CMD(s4, c_write_h_invalid)))),
% 50.47/33.08 inference(rewrite,[status(thm)],[])).
% 50.47/33.08 tff(17617,plain,
% 50.47/33.08 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s4, c_write_h_invalid)) | (~m_main_v_CMD(s4, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s4, c_response)) | (~m_main_v_CMD(s4, c_write_h_invalid))))),
% 50.47/33.08 inference(monotonicity,[status(thm)],[17616])).
% 50.47/33.08 tff(17618,plain,
% 50.47/33.08 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s4, c_write_h_invalid)) | (~m_main_v_CMD(s4, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s4, c_response)) | (~m_main_v_CMD(s4, c_write_h_invalid)))),
% 50.47/33.08 inference(transitivity,[status(thm)],[17617, 17615])).
% 50.47/33.08 tff(17619,plain,
% 50.47/33.08 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s4, c_write_h_invalid)) | (~m_main_v_CMD(s4, c_response)))),
% 50.47/33.08 inference(quant_inst,[status(thm)],[])).
% 50.47/33.08 tff(17620,plain,
% 50.47/33.08 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s4, c_response)) | (~m_main_v_CMD(s4, c_write_h_invalid))),
% 50.47/33.08 inference(modus_ponens,[status(thm)],[17619, 17618])).
% 50.47/33.08 tff(17621,plain,
% 50.47/33.08 (~m_main_v_CMD(s4, c_response)),
% 50.47/33.08 inference(unit_resolution,[status(thm)],[17620, 17099, 17540])).
% 50.47/33.08 tff(17622,assumption,(m_processor_v_CMD(c_p0, s4, c_response)), introduced(assumption)).
% 50.47/33.08 tff(17623,assumption,(~m_main_v_CMD(s4, c_response)), introduced(assumption)).
% 50.47/33.08 tff(17624,plain,
% 50.47/33.08 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s4, c_response) | (~node2(s4)) | (~m_processor_v_CMD(c_p0, s4, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s4, c_response) | (~node2(s4)) | (~m_processor_v_CMD(c_p0, s4, c_response)))),
% 50.47/33.08 inference(rewrite,[status(thm)],[])).
% 50.47/33.08 tff(17625,plain,
% 50.47/33.08 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s4, c_response) | (~node2(s4)) | (~m_processor_v_CMD(c_p0, s4, c_response)))),
% 50.47/33.08 inference(quant_inst,[status(thm)],[])).
% 50.47/33.08 tff(17626,plain,
% 50.47/33.08 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s4, c_response) | (~node2(s4)) | (~m_processor_v_CMD(c_p0, s4, c_response))),
% 50.47/33.08 inference(modus_ponens,[status(thm)],[17625, 17624])).
% 50.47/33.08 tff(17627,plain,
% 50.47/33.08 ($false),
% 50.47/33.08 inference(unit_resolution,[status(thm)],[17626, 1612, 1218, 17623, 17622])).
% 50.47/33.08 tff(17628,plain,((~m_processor_v_CMD(c_p0, s4, c_response)) | m_main_v_CMD(s4, c_response)), inference(lemma,lemma(discharge,[]))).
% 50.47/33.08 tff(17629,plain,
% 50.47/33.08 (~m_processor_v_CMD(c_p0, s4, c_response)),
% 50.47/33.08 inference(unit_resolution,[status(thm)],[17628, 17621])).
% 50.47/33.08 tff(17630,assumption,(~m_processor_v_CMD(c_p0, s4, c_response)), introduced(assumption)).
% 50.47/33.08 tff(17631,assumption,(node49(c_p0, s4)), introduced(assumption)).
% 50.47/33.08 tff(17632,plain,
% 50.47/33.08 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | ((~node49(c_p0, s4)) | m_processor_v_CMD(c_p0, s4, c_response))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p0, s4)) | m_processor_v_CMD(c_p0, s4, c_response))),
% 50.47/33.08 inference(rewrite,[status(thm)],[])).
% 50.47/33.08 tff(17633,plain,
% 50.47/33.08 ((m_processor_v_CMD(c_p0, s4, c_response) | (~node49(c_p0, s4))) <=> ((~node49(c_p0, s4)) | m_processor_v_CMD(c_p0, s4, c_response))),
% 50.47/33.08 inference(rewrite,[status(thm)],[])).
% 50.47/33.08 tff(17634,plain,
% 50.47/33.08 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p0, s4, c_response) | (~node49(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | ((~node49(c_p0, s4)) | m_processor_v_CMD(c_p0, s4, c_response)))),
% 50.47/33.08 inference(monotonicity,[status(thm)],[17633])).
% 50.47/33.08 tff(17635,plain,
% 50.47/33.08 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p0, s4, c_response) | (~node49(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p0, s4)) | m_processor_v_CMD(c_p0, s4, c_response))),
% 50.47/33.08 inference(transitivity,[status(thm)],[17634, 17632])).
% 50.47/33.08 tff(17636,plain,
% 50.47/33.08 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p0, s4, c_response) | (~node49(c_p0, s4)))),
% 50.47/33.08 inference(quant_inst,[status(thm)],[])).
% 50.47/33.08 tff(17637,plain,
% 50.47/33.08 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p0, s4)) | m_processor_v_CMD(c_p0, s4, c_response)),
% 50.47/33.08 inference(modus_ponens,[status(thm)],[17636, 17635])).
% 50.47/33.08 tff(17638,plain,
% 50.47/33.08 ($false),
% 50.47/33.08 inference(unit_resolution,[status(thm)],[17637, 11579, 17631, 17630])).
% 50.47/33.08 tff(17639,plain,((~node49(c_p0, s4)) | m_processor_v_CMD(c_p0, s4, c_response)), inference(lemma,lemma(discharge,[]))).
% 50.47/33.08 tff(17640,plain,
% 50.47/33.08 (~node49(c_p0, s4)),
% 50.47/33.08 inference(unit_resolution,[status(thm)],[17639, 17629])).
% 50.47/33.08 tff(17641,plain,
% 50.47/33.08 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p0, s4) | (~node47(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p0, s4) | (~node47(c_p0, s4)))),
% 50.47/33.08 inference(rewrite,[status(thm)],[])).
% 50.47/33.08 tff(17642,plain,
% 50.47/33.08 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p0, s4) | (~node47(c_p0, s4)))),
% 50.47/33.08 inference(quant_inst,[status(thm)],[])).
% 50.47/33.08 tff(17643,plain,
% 50.47/33.08 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p0, s4) | (~node47(c_p0, s4))),
% 50.47/33.08 inference(modus_ponens,[status(thm)],[17642, 17641])).
% 50.47/33.08 tff(17644,plain,
% 50.47/33.08 (~node47(c_p0, s4)),
% 50.47/33.08 inference(unit_resolution,[status(thm)],[17643, 12108, 17414])).
% 50.47/33.08 tff(17645,plain,
% 50.47/33.08 (^[X: $i] : refl(((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))) <=> ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))))),
% 50.47/33.08 inference(bind,[status(th)],[])).
% 50.47/33.08 tff(17646,plain,
% 50.47/33.08 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 50.47/33.08 inference(quant_intro,[status(thm)],[17645])).
% 50.47/33.08 tff(17647,plain,
% 50.47/33.08 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 50.47/33.08 inference(rewrite,[status(thm)],[])).
% 50.47/33.08 tff(17648,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_24')).
% 50.47/33.08 tff(17649,plain,
% 50.47/33.08 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 50.47/33.08 inference(modus_ponens,[status(thm)],[17648, 17647])).
% 50.47/33.08 tff(17650,plain,(
% 50.47/33.08 ![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 50.47/33.08 inference(skolemize,[status(sab)],[17649])).
% 50.47/33.08 tff(17651,plain,
% 50.47/33.08 (![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))),
% 50.47/33.08 inference(modus_ponens,[status(thm)],[17650, 17646])).
% 50.47/33.08 tff(17652,plain,
% 50.47/33.08 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s4, c_write_h_invalid)) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s4, c_write_h_invalid)) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)))),
% 50.47/33.08 inference(rewrite,[status(thm)],[])).
% 50.47/33.08 tff(17653,plain,
% 50.47/33.08 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s4, c_write_h_invalid)) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)))),
% 50.47/33.08 inference(quant_inst,[status(thm)],[])).
% 50.47/33.08 tff(17654,plain,
% 50.47/33.08 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s4, c_write_h_invalid)) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid))),
% 50.47/33.08 inference(modus_ponens,[status(thm)],[17653, 17652])).
% 50.47/33.08 tff(17655,plain,
% 50.47/33.08 (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)),
% 50.47/33.08 inference(unit_resolution,[status(thm)],[17654, 17651, 17540])).
% 50.47/33.08 tff(17656,assumption,(m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)), introduced(assumption)).
% 50.47/33.08 tff(17657,plain,
% 50.47/33.08 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s4, c_write_h_resp_h_invalid) | (~node2(s4)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s4, c_write_h_resp_h_invalid) | (~node2(s4)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)))),
% 50.47/33.08 inference(rewrite,[status(thm)],[])).
% 50.47/33.08 tff(17658,plain,
% 50.47/33.08 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s4, c_write_h_resp_h_invalid) | (~node2(s4)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)))),
% 50.47/33.08 inference(quant_inst,[status(thm)],[])).
% 50.47/33.08 tff(17659,plain,
% 50.47/33.08 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s4, c_write_h_resp_h_invalid) | (~node2(s4)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid))),
% 50.47/33.08 inference(modus_ponens,[status(thm)],[17658, 17657])).
% 50.47/33.08 tff(17660,plain,
% 50.47/33.08 ($false),
% 50.47/33.08 inference(unit_resolution,[status(thm)],[17659, 1612, 1218, 12895, 17656])).
% 50.47/33.08 tff(17661,plain,((~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)) | m_main_v_CMD(s4, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.47/33.08 tff(17662,plain,
% 50.47/33.08 (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)),
% 50.47/33.08 inference(unit_resolution,[status(thm)],[17661, 17655])).
% 50.47/33.08 tff(17663,assumption,(node50(c_p0, s4)), introduced(assumption)).
% 50.47/33.08 tff(17664,assumption,(~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)), introduced(assumption)).
% 50.47/33.08 tff(17665,plain,
% 50.47/33.08 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | (~node50(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | (~node50(c_p0, s4)))),
% 50.47/33.08 inference(rewrite,[status(thm)],[])).
% 50.47/33.08 tff(17666,plain,
% 50.47/33.08 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | (~node50(c_p0, s4)))),
% 50.47/33.08 inference(quant_inst,[status(thm)],[])).
% 50.47/33.08 tff(17667,plain,
% 50.47/33.08 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | (~node50(c_p0, s4))),
% 50.47/33.08 inference(modus_ponens,[status(thm)],[17666, 17665])).
% 50.47/33.08 tff(17668,plain,
% 50.47/33.08 ($false),
% 50.47/33.08 inference(unit_resolution,[status(thm)],[17667, 11598, 17664, 17663])).
% 50.47/33.08 tff(17669,plain,((~node50(c_p0, s4)) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.47/33.08 tff(17670,plain,
% 50.47/33.08 (~node50(c_p0, s4)),
% 50.47/33.08 inference(unit_resolution,[status(thm)],[17669, 17662])).
% 50.47/33.08 tff(17671,plain,
% 50.47/33.08 (~m_processor_v_REPLY_h_STALL(c_p0, s4)),
% 50.47/33.08 inference(unit_resolution,[status(thm)],[1734, 17410])).
% 50.47/33.08 tff(17672,plain,
% 50.47/33.08 (m_processor_v_state(c_p1, s5, c_shared) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared))),
% 50.47/33.08 inference(unit_resolution,[status(thm)],[17497, 416, 17460])).
% 50.47/33.08 tff(17673,plain,
% 50.47/33.08 (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)),
% 50.47/33.08 inference(unit_resolution,[status(thm)],[17672, 17470])).
% 50.47/33.08 tff(17674,plain,
% 50.47/33.08 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | (~m_main_v_CMD(s4, c_read_h_shared)) | (~node3(s4)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | (~m_main_v_CMD(s4, c_read_h_shared)) | (~node3(s4)))),
% 50.47/33.08 inference(rewrite,[status(thm)],[])).
% 50.47/33.08 tff(17675,plain,
% 50.47/33.08 (((~m_main_v_CMD(s4, c_read_h_shared)) | (~node3(s4)) | m_processor_v_CMD(c_p1, s4, c_read_h_shared)) <=> (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | (~m_main_v_CMD(s4, c_read_h_shared)) | (~node3(s4)))),
% 50.47/33.08 inference(rewrite,[status(thm)],[])).
% 50.47/33.08 tff(17676,plain,
% 50.47/33.08 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_read_h_shared)) | (~node3(s4)) | m_processor_v_CMD(c_p1, s4, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | (~m_main_v_CMD(s4, c_read_h_shared)) | (~node3(s4))))),
% 50.47/33.08 inference(monotonicity,[status(thm)],[17675])).
% 50.47/33.08 tff(17677,plain,
% 50.47/33.08 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_read_h_shared)) | (~node3(s4)) | m_processor_v_CMD(c_p1, s4, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | (~m_main_v_CMD(s4, c_read_h_shared)) | (~node3(s4)))),
% 50.47/33.08 inference(transitivity,[status(thm)],[17676, 17674])).
% 50.47/33.08 tff(17678,plain,
% 50.47/33.08 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_read_h_shared)) | (~node3(s4)) | m_processor_v_CMD(c_p1, s4, c_read_h_shared))),
% 50.47/33.08 inference(quant_inst,[status(thm)],[])).
% 50.47/33.08 tff(17679,plain,
% 50.47/33.08 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | (~m_main_v_CMD(s4, c_read_h_shared)) | (~node3(s4))),
% 50.47/33.08 inference(modus_ponens,[status(thm)],[17678, 17677])).
% 50.47/33.08 tff(17680,plain,
% 50.47/33.08 ($false),
% 50.47/33.08 inference(unit_resolution,[status(thm)],[17679, 1945, 1250, 1207, 2258])).
% 50.47/33.08 tff(17681,plain,(m_processor_v_CMD(c_p1, s4, c_read_h_shared) | (~m_main_v_CMD(s4, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 50.47/33.09 tff(17682,plain,
% 50.47/33.09 (~m_main_v_CMD(s4, c_read_h_shared)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[17681, 17673])).
% 50.47/33.09 tff(17683,plain,
% 50.47/33.09 (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[1617, 17682])).
% 50.47/33.09 tff(17684,plain,
% 50.47/33.09 (~m_main_v_CMD(s4, c_read_h_owned)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[1953, 17461])).
% 50.47/33.09 tff(17685,plain,
% 50.47/33.09 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s4, c_read_h_owned) | (~node2(s4)) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s4, c_read_h_owned) | (~node2(s4)) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)))),
% 50.47/33.09 inference(rewrite,[status(thm)],[])).
% 50.47/33.09 tff(17686,plain,
% 50.47/33.09 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s4, c_read_h_owned) | (~node2(s4)) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)))),
% 50.47/33.09 inference(quant_inst,[status(thm)],[])).
% 50.47/33.09 tff(17687,plain,
% 50.47/33.09 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s4, c_read_h_owned) | (~node2(s4)) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned))),
% 50.47/33.09 inference(modus_ponens,[status(thm)],[17686, 17685])).
% 50.47/33.09 tff(17688,plain,
% 50.47/33.09 (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[17687, 1612, 1218, 17684])).
% 50.47/33.09 tff(17689,plain,
% 50.47/33.09 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | (~node61(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | (~node61(c_p0, s4)))),
% 50.47/33.09 inference(rewrite,[status(thm)],[])).
% 50.47/33.09 tff(17690,plain,
% 50.47/33.09 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | (~node61(c_p0, s4)))),
% 50.47/33.09 inference(quant_inst,[status(thm)],[])).
% 50.47/33.09 tff(17691,plain,
% 50.47/33.09 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p0, s4, c_read_h_shared) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | (~node61(c_p0, s4))),
% 50.47/33.09 inference(modus_ponens,[status(thm)],[17690, 17689])).
% 50.47/33.09 tff(17692,plain,
% 50.47/33.09 (m_processor_v_CMD(c_p0, s4, c_read_h_shared) | (~node61(c_p0, s4))),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[17691, 2268, 17688])).
% 50.47/33.09 tff(17693,plain,
% 50.47/33.09 (~node61(c_p0, s4)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[17692, 17683])).
% 50.47/33.09 tff(17694,plain,
% 50.47/33.09 (~m_processor_v_abort(c_p0, s4)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[1881, 17693, 17671])).
% 50.47/33.09 tff(17695,plain,
% 50.47/33.09 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p0, s4) | (~node48(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p0, s4) | (~node48(c_p0, s4)))),
% 50.47/33.09 inference(rewrite,[status(thm)],[])).
% 50.47/33.09 tff(17696,plain,
% 50.47/33.09 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p0, s4) | (~node48(c_p0, s4)))),
% 50.47/33.09 inference(quant_inst,[status(thm)],[])).
% 50.47/33.09 tff(17697,plain,
% 50.47/33.09 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p0, s4) | (~node48(c_p0, s4))),
% 50.47/33.09 inference(modus_ponens,[status(thm)],[17696, 17695])).
% 50.47/33.09 tff(17698,plain,
% 50.47/33.09 (~node48(c_p0, s4)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[17697, 11562, 17414])).
% 50.47/33.09 tff(17699,plain,
% 50.47/33.09 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s4, c_write_h_resp_h_shared) | (~node2(s4)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s4, c_write_h_resp_h_shared) | (~node2(s4)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)))),
% 50.47/33.09 inference(rewrite,[status(thm)],[])).
% 50.47/33.09 tff(17700,plain,
% 50.47/33.09 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s4, c_write_h_resp_h_shared) | (~node2(s4)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)))),
% 50.47/33.09 inference(quant_inst,[status(thm)],[])).
% 50.47/33.09 tff(17701,plain,
% 50.47/33.09 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s4, c_write_h_resp_h_shared) | (~node2(s4)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared))),
% 50.47/33.09 inference(modus_ponens,[status(thm)],[17700, 17699])).
% 50.47/33.09 tff(17702,plain,
% 50.47/33.09 (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[17701, 1612, 1218, 17539])).
% 50.47/33.09 tff(17703,plain,
% 50.47/33.09 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared) | (~node51(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared) | (~node51(c_p0, s4)))),
% 50.47/33.09 inference(rewrite,[status(thm)],[])).
% 50.47/33.09 tff(17704,plain,
% 50.47/33.09 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared) | (~node51(c_p0, s4)))),
% 50.47/33.09 inference(quant_inst,[status(thm)],[])).
% 50.47/33.09 tff(17705,plain,
% 50.47/33.09 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared) | (~node51(c_p0, s4))),
% 50.47/33.09 inference(modus_ponens,[status(thm)],[17704, 17703])).
% 50.47/33.09 tff(17706,plain,
% 50.47/33.09 (~node51(c_p0, s4)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[17705, 11549, 17702])).
% 50.47/33.09 tff(17707,plain,
% 50.47/33.09 (node52(c_p0, s4, s5)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[16905, 17706, 17698, 17694, 17670, 17644, 17640])).
% 50.47/33.09 tff(17708,plain,
% 50.47/33.09 (~node32(c_p1, s5, s6)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[556, 17469, 16741])).
% 50.47/33.09 tff(17709,plain,
% 50.47/33.09 (~m_processor_v_abort(c_p1, s5)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[250, 17708])).
% 50.47/33.09 tff(17710,plain,
% 50.47/33.09 (node60(c_p1, s5)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[698, 17709])).
% 50.47/33.09 tff(17711,plain,
% 50.47/33.09 (node34(c_p1, s5, s6)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[614, 17470, 53, 16741])).
% 50.47/33.09 tff(17712,plain,
% 50.47/33.09 (m_processor_v_CMD(c_p1, s5, c_read_h_shared)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[16982, 17711, 106, 17469, 17544])).
% 50.47/33.09 tff(17713,plain,
% 50.47/33.09 (~node59(c_p1, s5)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[16989, 17712])).
% 50.47/33.09 tff(17714,plain,
% 50.47/33.09 (~m_processor_v_REPLY_h_WAITING(c_p1, s5)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[732, 17713, 17710])).
% 50.47/33.09 tff(17715,plain,
% 50.47/33.09 (~m_main_v_REPLY_h_WAITING(s5)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[750, 17714])).
% 50.47/33.09 tff(17716,plain,
% 50.47/33.09 (node6(s5)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[765, 17715])).
% 50.47/33.09 tff(17717,plain,
% 50.47/33.09 (~m_processor_v_reply_h_waiting(c_p0, s5)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[783, 17716])).
% 50.47/33.09 tff(17718,plain,
% 50.47/33.09 (~m_processor_v_waiting(c_p0, s5)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[2302, 2296, 17545, 17717])).
% 50.47/33.09 tff(17719,plain,
% 50.47/33.09 (~m_processor_v_waiting(c_p0, s4)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[17001, 10820, 17718, 17707])).
% 50.47/33.09 tff(17720,plain,
% 50.47/33.09 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | ((~m_processor_v_master(c_p0, s3)) | (~node50(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | (~m_processor_v_master(c_p0, s3)) | (~node50(c_p0, s3)))),
% 50.47/33.09 inference(rewrite,[status(thm)],[])).
% 50.47/33.09 tff(17721,plain,
% 50.47/33.09 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | ((~m_processor_v_master(c_p0, s3)) | (~node50(c_p0, s3)))),
% 50.47/33.09 inference(quant_inst,[status(thm)],[])).
% 50.47/33.09 tff(17722,plain,
% 50.47/33.09 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | (~m_processor_v_master(c_p0, s3)) | (~node50(c_p0, s3))),
% 50.47/33.09 inference(modus_ponens,[status(thm)],[17721, 17720])).
% 50.47/33.09 tff(17723,plain,
% 50.47/33.09 (~node50(c_p0, s3)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[17722, 16866, 9481])).
% 50.47/33.09 tff(17724,plain,
% 50.47/33.09 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | ((~m_processor_v_master(c_p0, s3)) | (~node51(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | (~m_processor_v_master(c_p0, s3)) | (~node51(c_p0, s3)))),
% 50.47/33.09 inference(rewrite,[status(thm)],[])).
% 50.47/33.09 tff(17725,plain,
% 50.47/33.09 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | ((~m_processor_v_master(c_p0, s3)) | (~node51(c_p0, s3)))),
% 50.47/33.09 inference(quant_inst,[status(thm)],[])).
% 50.47/33.09 tff(17726,plain,
% 50.47/33.09 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | (~m_processor_v_master(c_p0, s3)) | (~node51(c_p0, s3))),
% 50.47/33.09 inference(modus_ponens,[status(thm)],[17725, 17724])).
% 50.47/33.09 tff(17727,plain,
% 50.47/33.09 (~node51(c_p0, s3)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[17726, 16894, 9481])).
% 50.47/33.09 tff(17728,plain,
% 50.47/33.09 (~node32(c_p0, s3, s4)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[16508, 17547, 17437])).
% 50.47/33.09 tff(17729,plain,
% 50.47/33.09 (~m_processor_v_abort(c_p0, s3)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[9403, 17728])).
% 50.47/33.09 tff(17730,plain,
% 50.47/33.09 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[11528, 17438])).
% 50.47/33.09 tff(17731,plain,
% 50.47/33.09 (~node47(c_p0, s3)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[9669, 657, 17730])).
% 50.47/33.09 tff(17732,plain,
% 50.47/33.09 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | ((~m_processor_v_master(c_p0, s3)) | (~node49(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | (~m_processor_v_master(c_p0, s3)) | (~node49(c_p0, s3)))),
% 50.47/33.09 inference(rewrite,[status(thm)],[])).
% 50.47/33.09 tff(17733,plain,
% 50.47/33.09 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | ((~m_processor_v_master(c_p0, s3)) | (~node49(c_p0, s3)))),
% 50.47/33.09 inference(quant_inst,[status(thm)],[])).
% 50.47/33.09 tff(17734,plain,
% 50.47/33.09 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | (~m_processor_v_master(c_p0, s3)) | (~node49(c_p0, s3))),
% 50.47/33.09 inference(modus_ponens,[status(thm)],[17733, 17732])).
% 50.47/33.09 tff(17735,plain,
% 50.47/33.09 (~node49(c_p0, s3)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[17734, 16755, 9481])).
% 50.47/33.09 tff(17736,plain,
% 50.47/33.09 (node34(c_p0, s3, s4)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[9522, 17729, 9481])).
% 50.47/33.09 tff(17737,plain,
% 50.47/33.09 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_state(c_p0, s4, c_owned) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_state(c_p0, s4, c_owned) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)))),
% 50.47/33.09 inference(rewrite,[status(thm)],[])).
% 50.47/33.09 tff(17738,plain,
% 50.47/33.09 (((~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_state(c_p0, s4, c_owned) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned))) <=> (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_state(c_p0, s4, c_owned) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)))),
% 50.47/33.09 inference(rewrite,[status(thm)],[])).
% 50.47/33.09 tff(17739,plain,
% 50.47/33.09 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_state(c_p0, s4, c_owned) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_state(c_p0, s4, c_owned) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned))))),
% 50.47/33.09 inference(monotonicity,[status(thm)],[17738])).
% 50.47/33.09 tff(17740,plain,
% 50.47/33.09 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_state(c_p0, s4, c_owned) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_state(c_p0, s4, c_owned) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)))),
% 50.47/33.09 inference(transitivity,[status(thm)],[17739, 17737])).
% 50.47/33.09 tff(17741,plain,
% 50.47/33.09 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p0, s3, s4)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_state(c_p0, s4, c_owned) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)))),
% 50.47/33.09 inference(quant_inst,[status(thm)],[])).
% 50.47/33.09 tff(17742,plain,
% 50.47/33.09 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_state(c_p0, s4, c_owned) | (~node34(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned))),
% 50.47/33.09 inference(modus_ponens,[status(thm)],[17741, 17740])).
% 50.47/33.09 tff(17743,plain,
% 50.47/33.09 (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[17742, 1864, 17736, 17730, 17547])).
% 50.47/33.09 tff(17744,plain,
% 50.47/33.09 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node48(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node48(c_p0, s3)))),
% 50.47/33.09 inference(rewrite,[status(thm)],[])).
% 50.47/33.09 tff(17745,plain,
% 50.47/33.09 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node48(c_p0, s3)))),
% 50.47/33.09 inference(quant_inst,[status(thm)],[])).
% 50.47/33.09 tff(17746,plain,
% 50.47/33.09 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_read_h_owned) | (~node48(c_p0, s3))),
% 50.47/33.09 inference(modus_ponens,[status(thm)],[17745, 17744])).
% 50.47/33.09 tff(17747,plain,
% 50.47/33.09 (~node48(c_p0, s3)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[17746, 16883, 17743])).
% 50.47/33.09 tff(17748,plain,
% 50.47/33.09 (node52(c_p0, s3, s4)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[11619, 17747, 17735, 17731, 17729, 17727, 17723])).
% 50.47/33.09 tff(17749,plain,
% 50.47/33.09 (~m_processor_v_waiting(c_p0, s3)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[10826, 10820, 17748, 17719])).
% 50.47/33.09 tff(17750,plain,
% 50.47/33.09 (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[17154, 17396])).
% 50.47/33.09 tff(17751,plain,
% 50.47/33.09 (~node47(c_p0, s2)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[5628, 17750])).
% 50.47/33.09 tff(17752,plain,
% 50.47/33.09 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[2665, 137, 17437])).
% 50.47/33.09 tff(17753,plain,
% 50.47/33.09 (~node32(c_p0, s2, s3)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[5496, 17549, 17752])).
% 50.47/33.09 tff(17754,plain,
% 50.47/33.09 (~m_processor_v_abort(c_p0, s2)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[2704, 17753])).
% 50.47/33.09 tff(17755,plain,
% 50.47/33.09 (~m_processor_v_master(c_p0, s2)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[5636, 17754, 17751, 17749, 17614])).
% 50.47/33.09 tff(17756,plain,
% 50.47/33.09 (m_processor_v_cmd(c_p0, s2, c_idle)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[5366, 17755])).
% 50.47/33.09 tff(17757,plain,
% 50.47/33.09 (~m_processor_v_cmd(c_p1, s2, c_idle)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[16595, 17756, 17613, 17612])).
% 50.47/33.09 tff(17758,plain,
% 50.47/33.09 (m_processor_v_master(c_p1, s2)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[5564, 17757])).
% 50.47/33.09 tff(17759,plain,
% 50.47/33.09 (m_processor_v_abort(c_p1, s2)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[5388, 17758, 17403, 17402, 17398])).
% 50.47/33.09 tff(17760,plain,
% 50.47/33.09 (node32(c_p1, s2, s3)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[5121, 17759])).
% 50.47/33.09 tff(17761,plain,
% 50.47/33.09 (~m_processor_v_state(c_p1, s2, c_shared)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[5444, 17760, 5140])).
% 50.47/33.09 tff(17762,plain,
% 50.47/33.09 (m_processor_v_state(c_p1, s2, c_owned)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[8918, 17548, 5698, 5949, 104, 52, 5670, 6553, 2595])).
% 50.47/33.09 tff(17763,plain,
% 50.47/33.09 (~node62(c_p1, s2)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[9058, 17548])).
% 50.47/33.09 tff(17764,plain,
% 50.47/33.09 (~m_main_v_CMD(s2, c_write_h_invalid)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[16610, 12451, 17395])).
% 50.47/33.09 tff(17765,plain,
% 50.47/33.09 ((~m_processor_v_cmd(c_p0, s2, c_idle)) | (~node8(s2))),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[16563, 1669, 17613])).
% 50.47/33.09 tff(17766,plain,
% 50.47/33.09 (~node8(s2)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[17765, 17756])).
% 50.47/33.09 tff(17767,plain,
% 50.47/33.09 (node10(s2)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[8997, 17758, 17766])).
% 50.47/33.09 tff(17768,plain,
% 50.47/33.09 (~m_processor_v_cmd(c_p1, s2, c_write_h_invalid)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[9091, 17767, 17764])).
% 50.47/33.09 tff(17769,plain,
% 50.47/33.09 (((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | ((~m_processor_v_snoop(c_p1, s2, c_invalid)) | (~m_processor_v_snoop(c_p1, s2, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | (~m_processor_v_snoop(c_p1, s2, c_invalid)) | (~m_processor_v_snoop(c_p1, s2, c_owned)))),
% 50.47/33.09 inference(rewrite,[status(thm)],[])).
% 50.47/33.09 tff(17770,plain,
% 50.47/33.09 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | ((~m_processor_v_snoop(c_p1, s2, c_invalid)) | (~m_processor_v_snoop(c_p1, s2, c_owned)))),
% 50.47/33.09 inference(quant_inst,[status(thm)],[])).
% 50.47/33.09 tff(17771,plain,
% 50.47/33.09 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | (~m_processor_v_snoop(c_p1, s2, c_invalid)) | (~m_processor_v_snoop(c_p1, s2, c_owned))),
% 50.47/33.09 inference(modus_ponens,[status(thm)],[17770, 17769])).
% 50.47/33.09 tff(17772,plain,
% 50.47/33.09 (~m_processor_v_snoop(c_p1, s2, c_owned)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[17771, 4071, 8582])).
% 50.47/33.09 tff(17773,plain,
% 50.47/33.09 (~node64(c_p1, s2)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[9137, 17772])).
% 50.47/33.09 tff(17774,plain,
% 50.47/33.09 (((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p1, s2, c_invalid)) | (~m_processor_v_snoop(c_p1, s2, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p1, s2, c_invalid)) | (~m_processor_v_snoop(c_p1, s2, c_shared)))),
% 50.47/33.09 inference(rewrite,[status(thm)],[])).
% 50.47/33.09 tff(17775,plain,
% 50.47/33.09 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p1, s2, c_invalid)) | (~m_processor_v_snoop(c_p1, s2, c_shared)))),
% 50.47/33.09 inference(quant_inst,[status(thm)],[])).
% 50.47/33.09 tff(17776,plain,
% 50.47/33.09 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p1, s2, c_invalid)) | (~m_processor_v_snoop(c_p1, s2, c_shared))),
% 50.47/33.09 inference(modus_ponens,[status(thm)],[17775, 17774])).
% 50.47/33.09 tff(17777,plain,
% 50.47/33.09 (~m_processor_v_snoop(c_p1, s2, c_shared)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[17776, 4096, 8582])).
% 50.47/33.09 tff(17778,assumption,(~m_processor_v_snoop(c_p1, s2, c_shared)), introduced(assumption)).
% 50.47/33.09 tff(17779,assumption,(node65(c_p1, s2)), introduced(assumption)).
% 50.47/33.09 tff(17780,plain,
% 50.47/33.09 ($false),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[9127, 4107, 17779, 17778])).
% 50.47/33.09 tff(17781,plain,(m_processor_v_snoop(c_p1, s2, c_shared) | (~node65(c_p1, s2))), inference(lemma,lemma(discharge,[]))).
% 50.47/33.09 tff(17782,plain,
% 50.47/33.09 (~node65(c_p1, s2)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[17781, 17777])).
% 50.47/33.09 tff(17783,plain,
% 50.47/33.09 ((~m_processor_v_state(c_p1, s2, c_owned)) | node63(c_p1, s2) | m_processor_v_cmd(c_p1, s2, c_write_h_invalid) | node62(c_p1, s2) | (~m_processor_v_master(c_p1, s2)) | m_processor_v_cmd(c_p1, s2, c_idle)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[9123, 17782, 17773])).
% 50.47/33.09 tff(17784,plain,
% 50.47/33.09 (node63(c_p1, s2)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[17783, 17768, 17763, 17758, 17762, 17757])).
% 50.47/33.09 tff(17785,plain,
% 50.47/33.09 ($false),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[9065, 17784, 17761])).
% 50.47/33.09 tff(17786,plain,(node67(s4) | node67(s9) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_state(c_p1, s6, c_owned) | m_processor_v_state(c_p1, s5, c_owned) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_state(c_p1, s8, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.47/33.09 tff(17787,plain,
% 50.47/33.09 (node67(s4)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[17786, 17353, 16461, 5949, 5, 13506, 53, 13502, 5672])).
% 50.47/33.09 tff(17788,plain,
% 50.47/33.09 (m_processor_v_state(c_p0, s5, c_owned)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[6931, 17787, 53])).
% 50.47/33.09 tff(17789,plain,
% 50.47/33.09 (m_processor_v_master(c_p0, s5)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[6996, 17788, 5])).
% 50.47/33.09 tff(17790,plain,
% 50.47/33.09 (~m_processor_v_master(c_p1, s5)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[797, 794, 17789])).
% 50.47/33.09 tff(17791,plain,
% 50.47/33.09 (~m_processor_v_state(c_p1, s5, c_invalid)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[17184, 17790, 13102, 13405, 4, 53])).
% 50.47/33.09 tff(17792,plain,
% 50.47/33.09 (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[17244, 17791, 17394, 17393, 17359])).
% 50.47/33.09 tff(17793,plain,
% 50.47/33.09 (~node39(c_p1, s3, s4)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[12827, 17792, 17356, 17355, 17003])).
% 50.47/33.09 tff(17794,plain,
% 50.47/33.09 (~m_processor_v_abort(c_p1, s3)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[12786, 17793])).
% 50.47/33.09 tff(17795,plain,
% 50.47/33.09 (~m_processor_v_snoop(c_p1, s4, c_owned)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[12944, 17794, 16461, 17006, 17354])).
% 50.47/33.09 tff(17796,plain,
% 50.47/33.09 (~node42(c_p1, s3)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[12730, 8170, 17354])).
% 50.47/33.09 tff(17797,plain,
% 50.47/33.09 (~node43(c_p1, s3)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[12725, 8159, 17354])).
% 50.47/33.09 tff(17798,plain,
% 50.47/33.09 (m_processor_v_state(c_p0, s4, c_owned)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[1191, 17788, 17360])).
% 50.47/33.09 tff(17799,plain,
% 50.47/33.09 (~m_processor_v_state(c_p0, s4, c_shared)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[6888, 17798])).
% 50.47/33.09 tff(17800,plain,
% 50.47/33.09 (node60(c_p1, s3)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[11803, 17794])).
% 50.47/33.09 tff(17801,plain,
% 50.47/33.09 (~m_main_v_CMD(s3, c_read_h_shared)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[11879, 17800, 17353, 17799])).
% 50.47/33.09 tff(17802,plain,
% 50.47/33.09 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[10595, 17801])).
% 50.47/33.09 tff(17803,plain,
% 50.47/33.09 (node44(c_p1, s3, s4)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[12754, 17802, 17797, 17794, 17796])).
% 50.47/33.09 tff(17804,plain,
% 50.47/33.09 (~m_processor_v_snoop(c_p1, s4, c_shared)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[12766, 17803, 17004])).
% 50.47/33.09 tff(17805,plain,
% 50.47/33.09 (m_processor_v_snoop(c_p1, s4, c_invalid)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[17449, 17804, 17795])).
% 50.47/33.09 tff(17806,plain,
% 50.47/33.09 (~node64(c_p1, s4)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[12697, 4082, 17795])).
% 50.47/33.09 tff(17807,plain,
% 50.47/33.09 (~node65(c_p1, s4)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[12663, 4107, 17804])).
% 50.47/33.09 tff(17808,plain,
% 50.47/33.09 (m_processor_v_cmd(c_p1, s4, c_write_h_invalid) | node62(c_p1, s4) | node64(c_p1, s4) | (~m_processor_v_snoop(c_p1, s4, c_invalid)) | node65(c_p1, s4) | node63(c_p1, s4)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[12670, 7232, 17356, 17355])).
% 50.47/33.09 tff(17809,plain,
% 50.47/33.09 ($false),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[17808, 17807, 17806, 17388, 17390, 17792, 17805])).
% 50.47/33.09 tff(17810,plain,(m_processor_v_state(c_p1, s7, c_owned) | m_processor_v_state(c_p1, s7, c_invalid) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p0, s6, c_owned) | node67(s9) | m_processor_v_state(c_p1, s8, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.47/33.09 tff(17811,plain,
% 50.47/33.09 (m_processor_v_state(c_p1, s7, c_owned)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[17810, 5949, 13405, 53, 5, 13102, 5672])).
% 50.47/33.09 tff(17812,plain,
% 50.47/33.09 (~m_processor_v_state(c_p1, s7, c_shared)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[13520, 17811])).
% 50.47/33.09 tff(17813,plain,
% 50.47/33.09 (~m_processor_v_state(c_p1, s6, c_shared)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[13580, 17812, 13102, 13405])).
% 50.47/33.09 tff(17814,plain,
% 50.47/33.09 (m_processor_v_master(c_p1, s5)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[13587, 17813, 53, 13102, 13405])).
% 50.47/33.09 tff(17815,plain,
% 50.47/33.09 (~m_processor_v_master(c_p0, s5)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[797, 794, 17814])).
% 50.47/33.09 tff(17816,plain,
% 50.47/33.09 (~m_processor_v_state(c_p0, s5, c_owned)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[6996, 17815, 5])).
% 50.47/33.09 tff(17817,plain,
% 50.47/33.09 (~node67(s4)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[6931, 17816, 53])).
% 50.47/33.09 tff(17818,plain,
% 50.47/33.09 (m_main_v_CMD(s2, c_read_h_owned)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[9278, 17817, 5698, 5949, 52, 6553, 104])).
% 50.47/33.09 tff(17819,plain,
% 50.47/33.09 (m_processor_v_CMD(c_p0, s2, c_read_h_owned)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[5645, 17818])).
% 50.47/33.09 tff(17820,plain,
% 50.47/33.09 (node67(s3)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[6548, 17817, 6553, 104, 52, 5672])).
% 50.47/33.09 tff(17821,plain,
% 50.47/33.09 (m_processor_v_writable(c_p0, s3)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[2631, 17820])).
% 50.47/33.09 tff(17822,plain,
% 50.47/33.09 (node56(c_p0, s3)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[2639, 17821])).
% 50.47/33.09 tff(17823,plain,
% 50.47/33.09 (m_processor_v_state(c_p0, s3, c_owned)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[2650, 17822])).
% 50.47/33.09 tff(17824,plain,
% 50.47/33.09 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[2665, 137, 17823])).
% 50.47/33.09 tff(17825,plain,
% 50.47/33.09 (~m_main_v_CMD(s2, c_read_h_shared)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[8797, 17818])).
% 50.47/33.09 tff(17826,plain,
% 50.47/33.09 (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[8791, 17825])).
% 50.47/33.09 tff(17827,plain,
% 50.47/33.09 (~node47(c_p1, s2)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[5419, 657, 17826])).
% 50.47/33.09 tff(17828,plain,
% 50.47/33.09 (m_processor_v_CMD(c_p1, s2, c_read_h_owned)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[5401, 17818])).
% 50.47/33.09 tff(17829,plain,
% 50.47/33.09 (m_processor_v_writable(c_p1, s3)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[2604, 17820])).
% 50.47/33.09 tff(17830,plain,
% 50.47/33.09 (node56(c_p1, s3)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[2612, 17829])).
% 50.47/33.09 tff(17831,plain,
% 50.47/33.09 (~m_processor_v_waiting(c_p1, s3)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[2616, 540, 17830])).
% 50.47/33.09 tff(17832,plain,
% 50.47/33.09 (~m_processor_v_state(c_p1, s2, c_invalid)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[5390, 17831, 17828, 17827, 17251])).
% 50.47/33.09 tff(17833,plain,
% 50.47/33.09 (m_processor_v_state(c_p0, s2, c_invalid)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[5074, 17832])).
% 50.47/33.09 tff(17834,plain,
% 50.47/33.09 (~node32(c_p0, s2, s3)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[5496, 17833, 17824])).
% 50.47/33.09 tff(17835,plain,
% 50.47/33.09 (~m_processor_v_abort(c_p0, s2)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[2704, 17834])).
% 50.47/33.09 tff(17836,plain,
% 50.47/33.09 (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[17154, 17825])).
% 50.47/33.09 tff(17837,plain,
% 50.47/33.09 (~node47(c_p0, s2)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[5628, 17836])).
% 50.47/33.09 tff(17838,plain,
% 50.47/33.09 (~m_processor_v_state(c_p0, s2, c_shared)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[8392, 17833])).
% 50.47/33.09 tff(17839,plain,
% 50.47/33.09 (~node36(c_p0, s2)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[2671, 167, 17838])).
% 50.47/33.09 tff(17840,plain,
% 50.47/33.09 (~node37(c_p0, s2, s3)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[9640, 2411, 17833, 17824])).
% 50.47/33.09 tff(17841,plain,
% 50.47/33.09 (m_processor_v_master(c_p0, s2)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[2696, 17840, 17839, 17835, 17838])).
% 50.47/33.09 tff(17842,plain,
% 50.47/33.09 (m_processor_v_waiting(c_p0, s3)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[5636, 17841, 17837, 17835, 17819])).
% 50.47/33.09 tff(17843,plain,
% 50.47/33.09 ($false),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[5651, 540, 17822, 17842])).
% 50.47/33.09 tff(17844,plain,(node67(s9) | m_processor_v_state(c_p1, s8, c_owned) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_state(c_p1, s7, c_invalid) | m_processor_v_master(c_p1, s6)), inference(lemma,lemma(discharge,[]))).
% 50.47/33.09 tff(17845,plain,
% 50.47/33.09 (node67(s9)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[17844, 5672, 53, 5, 13102, 13405])).
% 50.47/33.09 tff(17846,plain,
% 50.47/33.09 (m_processor_v_writable(c_p1, s9)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[6259, 17845])).
% 50.47/33.09 tff(17847,plain,
% 50.47/33.09 (node56(c_p1, s9)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[6267, 17846])).
% 50.47/33.09 tff(17848,plain,
% 50.47/33.09 (m_processor_v_state(c_p1, s9, c_owned)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[6275, 17847])).
% 50.47/33.09 tff(17849,plain,
% 50.47/33.09 (~m_processor_v_state(c_p1, s9, c_invalid)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[6279, 137, 17848])).
% 50.47/33.09 tff(17850,plain,
% 50.47/33.09 (~m_processor_v_state(c_p1, s9, c_shared)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[6286, 121, 17848])).
% 50.47/33.09 tff(17851,plain,
% 50.47/33.09 (m_processor_v_waiting(c_p1, s9)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[6542, 17850, 5672, 17849])).
% 50.47/33.09 tff(17852,plain,
% 50.47/33.09 ($false),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[6546, 540, 17847, 17851])).
% 50.47/33.09 tff(17853,plain,(m_processor_v_state(c_p1, s8, c_owned) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_state(c_p1, s7, c_invalid) | m_processor_v_master(c_p1, s6)), inference(lemma,lemma(discharge,[]))).
% 50.47/33.09 tff(17854,plain,
% 50.47/33.09 (m_processor_v_state(c_p1, s8, c_owned)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[17853, 53, 5, 13102, 13405])).
% 50.47/33.09 tff(17855,plain,
% 50.47/33.09 (m_processor_v_state(c_p1, s7, c_owned)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[16328, 5689, 5, 13102])).
% 50.47/33.09 tff(17856,plain,
% 50.47/33.09 (~m_processor_v_state(c_p1, s7, c_shared)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[13520, 17855])).
% 50.47/33.09 tff(17857,plain,
% 50.47/33.09 (~m_processor_v_state(c_p1, s6, c_shared)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[13580, 17856, 13102, 13405])).
% 50.47/33.09 tff(17858,plain,
% 50.47/33.09 (~m_processor_v_state(c_p1, s6, c_invalid)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[13615, 17857, 13102, 13405])).
% 50.47/33.09 tff(17859,plain,
% 50.47/33.09 (m_processor_v_CMD(c_p1, s5, c_read_h_owned)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[629, 17857, 53, 17858])).
% 50.47/33.09 tff(17860,plain,
% 50.47/33.09 (~node32(c_p1, s5, s6)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[566, 17857, 53, 17858])).
% 50.47/33.09 tff(17861,plain,
% 50.47/33.09 (~m_processor_v_abort(c_p1, s5)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[250, 17860])).
% 50.47/33.09 tff(17862,plain,
% 50.47/33.09 (m_processor_v_master(c_p1, s5)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[13587, 17857, 53, 13102, 13405])).
% 50.47/33.09 tff(17863,plain,
% 50.47/33.09 (m_processor_v_state(c_p0, s7, c_owned)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[14719, 16228])).
% 50.47/33.09 tff(17864,plain,
% 50.47/33.09 (m_processor_v_CMD(c_p0, s6, c_read_h_owned)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[2539, 17863, 5])).
% 50.47/33.09 tff(17865,plain,
% 50.47/33.09 (~node59(c_p0, s6)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[14401, 17864])).
% 50.47/33.09 tff(17866,plain,
% 50.47/33.09 (~node32(c_p0, s6, s7)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[2543, 17863, 5])).
% 50.47/33.09 tff(17867,plain,
% 50.47/33.09 (~m_processor_v_abort(c_p0, s6)),
% 50.47/33.09 inference(unit_resolution,[status(thm)],[2356, 17866])).
% 50.47/33.10 tff(17868,plain,
% 50.47/33.10 (node60(c_p0, s6)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14205, 17867])).
% 50.47/33.10 tff(17869,plain,
% 50.47/33.10 (~m_processor_v_REPLY_h_WAITING(c_p0, s6)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14382, 17868, 17865])).
% 50.47/33.10 tff(17870,plain,
% 50.47/33.10 (~m_main_v_REPLY_h_WAITING(s6)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14192, 17869])).
% 50.47/33.10 tff(17871,plain,
% 50.47/33.10 (node6(s6)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14184, 17870])).
% 50.47/33.10 tff(17872,plain,
% 50.47/33.10 (~m_processor_v_reply_h_waiting(c_p1, s6)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14176, 17871])).
% 50.47/33.10 tff(17873,plain,
% 50.47/33.10 (~m_processor_v_waiting(c_p1, s6)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14168, 17872])).
% 50.47/33.10 tff(17874,plain,
% 50.47/33.10 (node47(c_p1, s5)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[647, 17873, 17862, 17861, 17859])).
% 50.47/33.10 tff(17875,plain,
% 50.47/33.10 (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[596, 17873, 17862, 17861])).
% 50.47/33.10 tff(17876,plain,
% 50.47/33.10 ($false),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[662, 17875, 17874])).
% 50.47/33.10 tff(17877,plain,((~node67(s8)) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p1, s7, c_invalid) | m_processor_v_state(c_p0, s6, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.47/33.10 tff(17878,plain,
% 50.47/33.10 (~node67(s8)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[17877, 53, 13405, 13102, 5])).
% 50.47/33.10 tff(17879,plain,
% 50.47/33.10 (m_main_v_CMD(s2, c_read_h_owned)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[9278, 5670, 5932, 5949, 5668, 5667, 5669])).
% 50.47/33.10 tff(17880,plain,
% 50.47/33.10 (m_processor_v_CMD(c_p0, s2, c_read_h_owned)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[5645, 17879])).
% 50.47/33.10 tff(17881,plain,
% 50.47/33.10 (node67(s3)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[6251, 5670, 5932, 5949, 5669, 5668, 5667])).
% 50.47/33.10 tff(17882,plain,
% 50.47/33.10 (m_processor_v_writable(c_p0, s3)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[2631, 17881])).
% 50.47/33.10 tff(17883,plain,
% 50.47/33.10 (node56(c_p0, s3)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[2639, 17882])).
% 50.47/33.10 tff(17884,plain,
% 50.47/33.10 (m_processor_v_state(c_p0, s3, c_owned)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[2650, 17883])).
% 50.47/33.10 tff(17885,plain,
% 50.47/33.10 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[2665, 137, 17884])).
% 50.47/33.10 tff(17886,plain,
% 50.47/33.10 (~m_main_v_CMD(s2, c_read_h_shared)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[8797, 17879])).
% 50.47/33.10 tff(17887,plain,
% 50.47/33.10 (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[8791, 17886])).
% 50.47/33.10 tff(17888,plain,
% 50.47/33.10 (~node47(c_p1, s2)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[5419, 657, 17887])).
% 50.47/33.10 tff(17889,plain,
% 50.47/33.10 (m_processor_v_CMD(c_p1, s2, c_read_h_owned)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[5401, 17879])).
% 50.47/33.10 tff(17890,plain,
% 50.47/33.10 (m_processor_v_writable(c_p1, s3)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[2604, 17881])).
% 50.47/33.10 tff(17891,plain,
% 50.47/33.10 (node56(c_p1, s3)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[2612, 17890])).
% 50.47/33.10 tff(17892,plain,
% 50.47/33.10 (~m_processor_v_waiting(c_p1, s3)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[2616, 540, 17891])).
% 50.47/33.10 tff(17893,plain,
% 50.47/33.10 (~m_processor_v_state(c_p1, s2, c_invalid)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[5390, 17892, 17889, 17888, 5091])).
% 50.47/33.10 tff(17894,plain,
% 50.47/33.10 (m_processor_v_state(c_p0, s2, c_invalid)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[5074, 17893])).
% 50.47/33.10 tff(17895,plain,
% 50.47/33.10 (~node32(c_p0, s2, s3)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[5496, 17894, 17885])).
% 50.47/33.10 tff(17896,plain,
% 50.47/33.10 (~m_processor_v_abort(c_p0, s2)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[2704, 17895])).
% 50.47/33.10 tff(17897,plain,
% 50.47/33.10 (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[17154, 17886])).
% 50.47/33.10 tff(17898,plain,
% 50.47/33.10 (~node47(c_p0, s2)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[5628, 17897])).
% 50.47/33.10 tff(17899,plain,
% 50.47/33.10 (~m_processor_v_state(c_p0, s2, c_shared)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[8392, 17894])).
% 50.47/33.10 tff(17900,plain,
% 50.47/33.10 (~node36(c_p0, s2)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[2671, 167, 17899])).
% 50.47/33.10 tff(17901,plain,
% 50.47/33.10 (~node37(c_p0, s2, s3)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[9640, 2411, 17894, 17885])).
% 50.47/33.10 tff(17902,plain,
% 50.47/33.10 (m_processor_v_master(c_p0, s2)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[2696, 17901, 17900, 17896, 17899])).
% 50.47/33.10 tff(17903,plain,
% 50.47/33.10 (m_processor_v_waiting(c_p0, s3)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[5636, 17902, 17898, 17896, 17880])).
% 50.47/33.10 tff(17904,plain,
% 50.47/33.10 ($false),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[5651, 540, 17883, 17903])).
% 50.47/33.10 tff(17905,plain,(node67(s4) | m_processor_v_state(c_p1, s3, c_invalid) | node67(s8) | node67(s9) | node67(s6) | node67(s7) | node67(s5)), inference(lemma,lemma(discharge,[]))).
% 50.47/33.10 tff(17906,plain,
% 50.47/33.10 (node67(s4)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[17905, 5949, 17878, 17251, 52, 6553, 104])).
% 50.47/33.10 tff(17907,plain,
% 50.47/33.10 (m_processor_v_writable(c_p1, s4)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[6565, 17906])).
% 50.47/33.10 tff(17908,plain,
% 50.47/33.10 (node56(c_p1, s4)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[6573, 17907])).
% 50.47/33.10 tff(17909,plain,
% 50.47/33.10 (m_processor_v_state(c_p1, s4, c_owned)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[6584, 17908])).
% 50.47/33.10 tff(17910,plain,
% 50.47/33.10 (m_processor_v_master(c_p1, s4)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[6865, 17909, 53])).
% 50.47/33.10 tff(17911,plain,
% 50.47/33.10 (~node32(c_p1, s4, s5)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[12546, 17909, 53])).
% 50.47/33.10 tff(17912,plain,
% 50.47/33.10 (~m_processor_v_abort(c_p1, s4)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[6859, 17911])).
% 50.47/33.10 tff(17913,plain,
% 50.47/33.10 (node34(c_p1, s4, s5)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[17176, 17912, 17910])).
% 50.47/33.10 tff(17914,plain,
% 50.47/33.10 (m_processor_v_state(c_p0, s5, c_owned)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[6931, 17906, 53])).
% 50.47/33.10 tff(17915,plain,
% 50.47/33.10 (m_processor_v_master(c_p0, s5)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[6996, 17914, 5])).
% 50.47/33.10 tff(17916,plain,
% 50.47/33.10 (~m_processor_v_master(c_p1, s5)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[797, 794, 17915])).
% 50.47/33.10 tff(17917,plain,
% 50.47/33.10 (m_processor_v_state(c_p1, s6, c_shared)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[13587, 17916, 53, 13102, 13405])).
% 50.47/33.10 tff(17918,plain,
% 50.47/33.10 (~m_processor_v_state(c_p1, s5, c_invalid)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[16744, 17916, 17917])).
% 50.47/33.10 tff(17919,plain,
% 50.47/33.10 (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[17205, 17913, 53])).
% 50.47/33.10 tff(17920,plain,
% 50.47/33.10 (~m_processor_v_master(c_p0, s4)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[1435, 794, 17910])).
% 50.47/33.10 tff(17921,plain,
% 50.47/33.10 (m_processor_v_cmd(c_p0, s4, c_idle)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[12616, 17920])).
% 50.47/33.10 tff(17922,plain,
% 50.47/33.10 (~node17(s4)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[6871, 17910])).
% 50.47/33.10 tff(17923,plain,
% 50.47/33.10 (~m_memory_v_master(c_m, s4)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[1295, 17922])).
% 50.47/33.10 tff(17924,plain,
% 50.47/33.10 (~node29(c_m, s4)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[1310, 17923])).
% 50.47/33.10 tff(17925,plain,
% 50.47/33.10 (m_memory_v_cmd(c_m, s4, c_idle)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[1325, 17924])).
% 50.47/33.10 tff(17926,plain,
% 50.47/33.10 (~node16(s4)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[12622, 17910])).
% 50.47/33.10 tff(17927,plain,
% 50.47/33.10 (~m_processor_v_master(c_p2, s4)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[1550, 17926])).
% 50.47/33.10 tff(17928,plain,
% 50.47/33.10 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[1582, 17927])).
% 50.47/33.10 tff(17929,plain,
% 50.47/33.10 (m_processor_v_snoop(c_p1, s3, c_invalid)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[9812, 5949, 53, 17878, 52, 6553])).
% 50.47/33.10 tff(17930,plain,
% 50.47/33.10 (m_processor_v_state(c_p1, s7, c_shared)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[13580, 17917, 13102, 13405])).
% 50.47/33.10 tff(17931,plain,
% 50.47/33.10 (~m_processor_v_state(c_p1, s7, c_owned)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[13520, 17930])).
% 50.47/33.10 tff(17932,plain,
% 50.47/33.10 (~m_processor_v_cmd(c_p0, s3, c_idle)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[17320, 17931, 17906, 17929, 17910, 13102, 13405, 17928, 53, 5])).
% 50.47/33.10 tff(17933,plain,
% 50.47/33.10 (m_processor_v_master(c_p0, s3)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[10144, 17932])).
% 50.47/33.10 tff(17934,plain,
% 50.47/33.10 (~m_processor_v_master(c_p1, s3)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[9444, 794, 17933])).
% 50.47/33.10 tff(17935,plain,
% 50.47/33.10 (~m_processor_v_state(c_p1, s4, c_shared)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[17386, 17934, 17164])).
% 50.47/33.10 tff(17936,plain,
% 50.47/33.10 (~node63(c_p1, s4)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[12632, 1809, 17935])).
% 50.47/33.10 tff(17937,plain,
% 50.47/33.10 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[6599, 137, 17909])).
% 50.47/33.10 tff(17938,plain,
% 50.47/33.10 (~node62(c_p1, s4)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[12628, 1633, 17937])).
% 50.47/33.10 tff(17939,plain,
% 50.47/33.10 (~m_processor_v_cmd(c_p1, s4, c_idle)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[12699, 17938, 17909, 17910, 17936])).
% 50.47/33.10 tff(17940,plain,
% 50.47/33.10 (~node9(s4)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[12703, 3443, 17939])).
% 50.47/33.10 tff(17941,plain,
% 50.47/33.10 (node10(s4)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[12714, 17940, 17928, 17925, 17921])).
% 50.47/33.10 tff(17942,plain,
% 50.47/33.10 (m_processor_v_state(c_p0, s4, c_owned)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[1191, 17920, 17914])).
% 50.47/33.10 tff(17943,plain,
% 50.47/33.10 (~m_processor_v_state(c_p0, s4, c_invalid)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[1757, 17942])).
% 50.47/33.10 tff(17944,plain,
% 50.47/33.10 (~node17(s3)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[9486, 17933])).
% 50.47/33.10 tff(17945,plain,
% 50.47/33.10 (~m_memory_v_master(c_m, s3)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[9494, 17944])).
% 50.47/33.10 tff(17946,plain,
% 50.47/33.10 (~node29(c_m, s3)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[9502, 17945])).
% 50.47/33.10 tff(17947,plain,
% 50.47/33.10 (m_memory_v_cmd(c_m, s3, c_idle)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[9510, 17946])).
% 50.47/33.10 tff(17948,plain,
% 50.47/33.10 (m_processor_v_cmd(c_p1, s3, c_idle)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[9478, 17934])).
% 50.47/33.10 tff(17949,plain,
% 50.47/33.10 (m_processor_v_writable(c_p0, s4)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[73, 43, 17906])).
% 50.47/33.10 tff(17950,plain,
% 50.47/33.10 (node56(c_p0, s4)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[67, 28, 17949])).
% 50.47/33.10 tff(17951,plain,
% 50.47/33.10 (~m_processor_v_waiting(c_p0, s4)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[9373, 540, 17950])).
% 50.47/33.10 tff(17952,plain,
% 50.47/33.10 (~m_main_v_CMD(s3, c_read_h_shared)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[17306, 17951, 17948, 17947, 17943])).
% 50.47/33.10 tff(17953,plain,
% 50.47/33.10 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[10595, 17952])).
% 50.47/33.10 tff(17954,plain,
% 50.47/33.10 (~node41(c_p1, s3)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[12740, 8378, 17953])).
% 50.47/33.10 tff(17955,plain,
% 50.47/33.10 (~node40(c_p1, s3)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[12736, 8367, 17953])).
% 50.47/33.10 tff(17956,plain,
% 50.47/33.10 (m_processor_v_snoop(c_p1, s4, c_invalid)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[17453, 17955, 17929, 17934, 17954])).
% 50.47/33.10 tff(17957,plain,
% 50.47/33.10 (~m_processor_v_snoop(c_p1, s4, c_shared)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[17464, 4096, 17956])).
% 50.47/33.10 tff(17958,plain,
% 50.47/33.10 (~node65(c_p1, s4)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[12663, 4107, 17957])).
% 50.47/33.10 tff(17959,plain,
% 50.47/33.10 (~m_processor_v_snoop(c_p1, s4, c_owned)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[17457, 4071, 17956])).
% 50.47/33.10 tff(17960,plain,
% 50.47/33.10 (~node64(c_p1, s4)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[12697, 4082, 17959])).
% 50.47/33.10 tff(17961,plain,
% 50.47/33.10 (m_processor_v_cmd(c_p1, s4, c_write_h_invalid) | node62(c_p1, s4) | node64(c_p1, s4) | (~m_processor_v_snoop(c_p1, s4, c_invalid)) | node65(c_p1, s4) | node63(c_p1, s4)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[12670, 7232, 17910, 17909])).
% 50.47/33.10 tff(17962,plain,
% 50.47/33.10 (m_processor_v_cmd(c_p1, s4, c_write_h_invalid)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[17961, 17960, 17936, 17938, 17956, 17958])).
% 50.47/33.10 tff(17963,plain,
% 50.47/33.10 ($false),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[17244, 17962, 17941, 17919, 17918, 17913])).
% 50.47/33.10 tff(17964,plain,(node67(s9) | m_processor_v_state(c_p1, s7, c_invalid) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p0, s6, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.47/33.10 tff(17965,plain,
% 50.47/33.10 (node67(s9)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[17964, 53, 13405, 13102, 5])).
% 50.47/33.10 tff(17966,plain,
% 50.47/33.10 (m_processor_v_writable(c_p1, s9)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[6259, 17965])).
% 50.47/33.10 tff(17967,plain,
% 50.47/33.10 (node56(c_p1, s9)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[6267, 17966])).
% 50.47/33.10 tff(17968,plain,
% 50.47/33.10 (m_processor_v_state(c_p1, s9, c_owned)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[6275, 17967])).
% 50.47/33.10 tff(17969,plain,
% 50.47/33.10 (~m_processor_v_state(c_p1, s9, c_invalid)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[6279, 137, 17968])).
% 50.47/33.10 tff(17970,plain,
% 50.47/33.10 (~m_processor_v_state(c_p1, s9, c_shared)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[6286, 121, 17968])).
% 50.47/33.10 tff(17971,plain,
% 50.47/33.10 (m_processor_v_writable(c_p0, s9)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14729, 17965])).
% 50.47/33.10 tff(17972,plain,
% 50.47/33.10 (node56(c_p0, s9)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14737, 17971])).
% 50.47/33.10 tff(17973,plain,
% 50.47/33.10 (m_processor_v_state(c_p0, s9, c_owned)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14745, 17972])).
% 50.47/33.10 tff(17974,plain,
% 50.47/33.10 (~m_processor_v_waiting(c_p0, s9)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14756, 540, 17972])).
% 50.47/33.10 tff(17975,plain,
% 50.47/33.10 (~m_processor_v_state(c_p0, s7, c_owned)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[16365, 4, 5, 13102, 13405])).
% 50.47/33.10 tff(17976,plain,
% 50.47/33.10 (m_processor_v_CMD(c_p1, s8, c_read_h_owned)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[16436, 17975, 6289, 4, 14759, 6288])).
% 50.47/33.10 tff(17977,plain,
% 50.47/33.10 (m_main_v_CMD(s8, c_read_h_owned)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[6489, 17976])).
% 50.47/33.10 tff(17978,plain,
% 50.47/33.10 (m_processor_v_CMD(c_p0, s8, c_read_h_owned)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[15828, 17977])).
% 50.47/33.10 tff(17979,plain,
% 50.47/33.10 (m_processor_v_master(c_p1, s7)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[13152, 4, 13022])).
% 50.47/33.10 tff(17980,plain,
% 50.47/33.10 (~m_processor_v_master(c_p0, s7)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[13229, 794, 17979])).
% 50.47/33.10 tff(17981,plain,
% 50.47/33.10 (~m_processor_v_state(c_p0, s8, c_owned)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14544, 17980, 17975])).
% 50.47/33.10 tff(17982,plain,
% 50.47/33.10 (m_processor_v_master(c_p0, s8)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14888, 17981, 14759])).
% 50.47/33.10 tff(17983,plain,
% 50.47/33.10 (~m_processor_v_abort(c_p1, s8)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[15032, 17981, 14759])).
% 50.47/33.10 tff(17984,plain,
% 50.47/33.10 (node60(c_p1, s8)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[15039, 17983])).
% 50.47/33.10 tff(17985,plain,
% 50.47/33.10 (~m_processor_v_REPLY_h_STALL(c_p1, s8)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[15048, 17984])).
% 50.47/33.10 tff(17986,plain,
% 50.47/33.10 (~m_main_v_REPLY_h_STALL(s8)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[15056, 17985])).
% 50.47/33.10 tff(17987,plain,
% 50.47/33.10 (~m_processor_v_REPLY_h_STALL(c_p0, s8)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[15064, 17986])).
% 50.47/33.10 tff(17988,plain,
% 50.47/33.10 (~node59(c_p1, s8)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[16440, 707, 17976])).
% 50.47/33.10 tff(17989,plain,
% 50.47/33.10 (~m_processor_v_REPLY_h_WAITING(c_p1, s8)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[16445, 17984, 17988])).
% 50.47/33.10 tff(17990,plain,
% 50.47/33.10 (~m_main_v_REPLY_h_WAITING(s8)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[16450, 17989])).
% 50.47/33.10 tff(17991,plain,
% 50.47/33.10 (~m_processor_v_REPLY_h_WAITING(c_p0, s8)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[15116, 17990])).
% 50.47/33.10 tff(17992,plain,
% 50.47/33.10 (~node61(c_p0, s8)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[15108, 17991])).
% 50.47/33.10 tff(17993,plain,
% 50.47/33.10 (~m_processor_v_abort(c_p0, s8)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[15072, 17992, 17987])).
% 50.47/33.10 tff(17994,plain,
% 50.47/33.10 (node47(c_p0, s8)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[15149, 17993, 14758, 17982, 17978])).
% 50.47/33.10 tff(17995,plain,
% 50.47/33.10 (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[15157, 17993, 14758, 17982])).
% 50.47/33.10 tff(17996,plain,
% 50.47/33.10 ($false),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[15161, 657, 17995, 17994])).
% 50.47/33.10 tff(17997,plain,(m_processor_v_state(c_p1, s7, c_owned) | m_processor_v_waiting(c_p0, s9) | (~m_processor_v_state(c_p0, s9, c_owned)) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_state(c_p1, s9, c_invalid) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_state(c_p1, s7, c_invalid) | m_processor_v_master(c_p1, s6)), inference(lemma,lemma(discharge,[]))).
% 50.47/33.10 tff(17998,plain,
% 50.47/33.10 (m_processor_v_state(c_p1, s7, c_owned)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[17997, 17974, 17973, 17970, 17969, 17854, 5, 13102, 13405])).
% 50.47/33.10 tff(17999,plain,
% 50.47/33.10 (~m_processor_v_waiting(c_p1, s9)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[6546, 540, 17967])).
% 50.47/33.10 tff(18000,plain,
% 50.47/33.10 (~m_processor_v_state(c_p1, s7, c_shared)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[13520, 17998])).
% 50.47/33.10 tff(18001,plain,
% 50.47/33.10 (~m_processor_v_state(c_p1, s6, c_shared)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[13580, 18000, 13102, 13405])).
% 50.47/33.10 tff(18002,plain,
% 50.47/33.10 (m_processor_v_master(c_p1, s5)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[13587, 18001, 53, 13102, 13405])).
% 50.47/33.10 tff(18003,plain,
% 50.47/33.10 (~node17(s5)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[13595, 18002])).
% 50.47/33.10 tff(18004,plain,
% 50.47/33.10 (~m_memory_v_master(c_m, s5)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[13600, 18003])).
% 50.47/33.10 tff(18005,plain,
% 50.47/33.10 (~node29(c_m, s5)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[7136, 18004])).
% 50.47/33.10 tff(18006,plain,
% 50.47/33.10 (m_memory_v_cmd(c_m, s5, c_idle)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[7144, 18005])).
% 50.47/33.10 tff(18007,plain,
% 50.47/33.10 (~m_processor_v_state(c_p1, s6, c_invalid)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[13615, 18001, 13102, 13405])).
% 50.47/33.10 tff(18008,plain,
% 50.47/33.10 (m_processor_v_CMD(c_p1, s5, c_read_h_owned)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[629, 18001, 53, 18007])).
% 50.47/33.10 tff(18009,plain,
% 50.47/33.10 (m_main_v_CMD(s5, c_read_h_owned)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[13623, 1260, 18008, 13607])).
% 50.47/33.10 tff(18010,plain,
% 50.47/33.10 (~m_processor_v_master(c_p0, s5)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[797, 794, 18002])).
% 50.47/33.10 tff(18011,plain,
% 50.47/33.10 (m_processor_v_cmd(c_p0, s5, c_idle)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[13657, 18010])).
% 50.47/33.10 tff(18012,plain,
% 50.47/33.10 (~m_processor_v_cmd(c_p1, s5, c_idle)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[13769, 18011, 18009])).
% 50.47/33.10 tff(18013,plain,
% 50.47/33.10 (~node32(c_p1, s5, s6)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[566, 18001, 53, 18007])).
% 50.47/33.10 tff(18014,plain,
% 50.47/33.10 (~m_processor_v_abort(c_p1, s5)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[250, 18013])).
% 50.47/33.10 tff(18015,plain,
% 50.47/33.10 (node60(c_p1, s5)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[698, 18014])).
% 50.47/33.10 tff(18016,plain,
% 50.47/33.10 (~node59(c_p1, s5)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[710, 707, 18008])).
% 50.47/33.10 tff(18017,plain,
% 50.47/33.10 (~m_processor_v_abort(c_p0, s5)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[13820, 18016, 18015])).
% 50.47/33.10 tff(18018,plain,
% 50.47/33.10 (m_processor_v_state(c_p0, s6, c_invalid)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14120, 18017, 5, 18001, 18007, 18012, 18006])).
% 50.47/33.10 tff(18019,plain,
% 50.47/33.10 (node34(c_p1, s5, s6)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[617, 18001, 53, 18007])).
% 50.47/33.10 tff(18020,plain,
% 50.47/33.10 (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[422, 416, 18001, 18019])).
% 50.47/33.10 tff(18021,plain,
% 50.47/33.10 (~node47(c_p1, s5)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[662, 18020])).
% 50.47/33.10 tff(18022,plain,
% 50.47/33.10 (m_processor_v_waiting(c_p1, s6)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[647, 18021, 18002, 18014, 18008])).
% 50.47/33.10 tff(18023,plain,
% 50.47/33.10 (m_processor_v_reply_h_waiting(c_p1, s6)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14168, 18022])).
% 50.47/33.10 tff(18024,plain,
% 50.47/33.10 (~node6(s6)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14176, 18023])).
% 50.47/33.10 tff(18025,plain,
% 50.47/33.10 (m_main_v_REPLY_h_WAITING(s6)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14184, 18024])).
% 50.47/33.10 tff(18026,plain,
% 50.47/33.10 (m_processor_v_REPLY_h_WAITING(c_p0, s6)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14192, 18025])).
% 50.47/33.10 tff(18027,plain,
% 50.47/33.10 (m_processor_v_state(c_p0, s7, c_invalid)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14404, 18026, 5, 14157, 18018])).
% 50.47/33.10 tff(18028,plain,
% 50.47/33.10 (m_processor_v_state(c_p0, s7, c_owned)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[16223, 18027, 17974, 17970, 17854, 17969, 17973, 17999, 17998])).
% 50.47/33.10 tff(18029,plain,
% 50.47/33.10 (~node32(c_p0, s6, s7)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[2543, 18028, 5])).
% 50.47/33.10 tff(18030,plain,
% 50.47/33.10 (~m_processor_v_abort(c_p0, s6)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[2356, 18029])).
% 50.47/33.10 tff(18031,plain,
% 50.47/33.10 (m_processor_v_CMD(c_p0, s6, c_read_h_owned)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[2539, 18028, 5])).
% 50.47/33.10 tff(18032,plain,
% 50.47/33.10 (~node59(c_p0, s6)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14401, 18031])).
% 50.47/33.10 tff(18033,plain,
% 50.47/33.10 (~node60(c_p0, s6)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14382, 18032, 18026])).
% 50.47/33.10 tff(18034,plain,
% 50.47/33.10 ($false),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14205, 18033, 18030])).
% 50.47/33.10 tff(18035,plain,(m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s7, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.47/33.10 tff(18036,plain,
% 50.47/33.10 (m_processor_v_master(c_p1, s6)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[18035, 5, 53, 13404])).
% 50.47/33.10 tff(18037,plain,
% 50.47/33.10 (~m_processor_v_master(c_p0, s6)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[16318, 18036])).
% 50.47/33.10 tff(18038,plain,
% 50.47/33.10 (~m_processor_v_state(c_p0, s7, c_owned)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[2437, 18037, 5])).
% 50.47/33.10 tff(18039,plain,
% 50.47/33.10 ($false),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14719, 18038, 12509])).
% 50.47/33.10 tff(18040,plain,(m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_state(c_p1, s5, c_owned) | node67(s9)), inference(lemma,lemma(discharge,[]))).
% 50.47/33.10 tff(18041,plain,
% 50.47/33.10 (node67(s9)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[18040, 2305, 53])).
% 50.47/33.10 tff(18042,plain,
% 50.47/33.10 (m_processor_v_writable(c_p0, s9)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14729, 18041])).
% 50.47/33.10 tff(18043,plain,
% 50.47/33.10 (node56(c_p0, s9)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14737, 18042])).
% 50.47/33.10 tff(18044,plain,
% 50.47/33.10 (~m_processor_v_waiting(c_p0, s9)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14756, 540, 18043])).
% 50.47/33.10 tff(18045,plain,
% 50.47/33.10 (m_processor_v_state(c_p0, s9, c_owned)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14745, 18043])).
% 50.47/33.10 tff(18046,plain,
% 50.47/33.10 (node34(c_p1, s5, s6)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[617, 143, 53, 1])).
% 50.47/33.10 tff(18047,plain,
% 50.47/33.10 (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[422, 416, 1, 18046])).
% 50.47/33.10 tff(18048,plain,
% 50.47/33.10 (~node47(c_p1, s5)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[662, 18047])).
% 50.47/33.10 tff(18049,plain,
% 50.47/33.10 (m_processor_v_waiting(c_p1, s6)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[647, 18048, 787, 700, 685])).
% 50.47/33.10 tff(18050,plain,
% 50.47/33.10 (~node17(s5)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[13595, 787])).
% 50.47/33.10 tff(18051,plain,
% 50.47/33.10 (~m_memory_v_master(c_m, s5)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[13600, 18050])).
% 50.47/33.10 tff(18052,plain,
% 50.47/33.10 (~node29(c_m, s5)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[7136, 18051])).
% 50.47/33.10 tff(18053,plain,
% 50.47/33.10 (m_memory_v_cmd(c_m, s5, c_idle)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[7144, 18052])).
% 50.47/33.10 tff(18054,plain,
% 50.47/33.10 (node59(c_p1, s5)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[13820, 13784, 714])).
% 50.47/33.10 tff(18055,plain,
% 50.47/33.10 (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[16989, 18054])).
% 50.47/33.10 tff(18056,plain,
% 50.47/33.10 (node59(c_p1, s5)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[13820, 714, 13784])).
% 50.47/33.10 tff(18057,plain,
% 50.47/33.10 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | (~node61(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | (~node61(c_p0, s5)))),
% 50.47/33.10 inference(rewrite,[status(thm)],[])).
% 50.47/33.10 tff(18058,plain,
% 50.47/33.10 ((m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | (~node61(c_p0, s5))) <=> (m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | (~node61(c_p0, s5)))),
% 50.47/33.10 inference(rewrite,[status(thm)],[])).
% 50.47/33.10 tff(18059,plain,
% 50.47/33.10 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | (~node61(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | (~node61(c_p0, s5))))),
% 50.47/33.10 inference(monotonicity,[status(thm)],[18058])).
% 50.47/33.10 tff(18060,plain,
% 50.47/33.10 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | (~node61(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | (~node61(c_p0, s5)))),
% 50.47/33.10 inference(transitivity,[status(thm)],[18059, 18057])).
% 50.47/33.10 tff(18061,plain,
% 50.47/33.10 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | (~node61(c_p0, s5)))),
% 50.47/33.10 inference(quant_inst,[status(thm)],[])).
% 50.47/33.10 tff(18062,plain,
% 50.47/33.10 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | (~node61(c_p0, s5))),
% 50.47/33.10 inference(modus_ponens,[status(thm)],[18061, 18060])).
% 50.47/33.10 tff(18063,plain,
% 50.47/33.10 ($false),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[18062, 2268, 811, 1025, 13813])).
% 50.47/33.10 tff(18064,plain,((~node61(c_p0, s5)) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_CMD(c_p0, s5, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.47/33.10 tff(18065,plain,
% 50.47/33.10 (m_processor_v_CMD(c_p0, s5, c_read_h_owned)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[18064, 13811, 1025])).
% 50.47/33.10 tff(18066,plain,
% 50.47/33.10 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | ((~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned) | (~node2(s5)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned) | (~node2(s5)))),
% 50.47/33.10 inference(rewrite,[status(thm)],[])).
% 50.47/33.10 tff(18067,plain,
% 50.47/33.10 ((m_main_v_CMD(s5, c_read_h_owned) | (~node2(s5)) | (~m_processor_v_CMD(c_p0, s5, c_read_h_owned))) <=> ((~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned) | (~node2(s5)))),
% 50.47/33.10 inference(rewrite,[status(thm)],[])).
% 50.47/33.10 tff(18068,plain,
% 50.47/33.10 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s5, c_read_h_owned) | (~node2(s5)) | (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | ((~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned) | (~node2(s5))))),
% 50.47/33.10 inference(monotonicity,[status(thm)],[18067])).
% 50.47/33.10 tff(18069,plain,
% 50.47/33.10 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s5, c_read_h_owned) | (~node2(s5)) | (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned) | (~node2(s5)))),
% 50.47/33.10 inference(transitivity,[status(thm)],[18068, 18066])).
% 50.47/33.10 tff(18070,plain,
% 50.47/33.10 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s5, c_read_h_owned) | (~node2(s5)) | (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)))),
% 50.47/33.10 inference(quant_inst,[status(thm)],[])).
% 50.47/33.10 tff(18071,plain,
% 50.47/33.10 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned) | (~node2(s5))),
% 50.47/33.10 inference(modus_ponens,[status(thm)],[18070, 18069])).
% 50.47/33.10 tff(18072,plain,
% 50.47/33.10 ($false),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[18071, 1612, 16969, 13841, 1039])).
% 50.47/33.10 tff(18073,plain,(m_main_v_CMD(s5, c_read_h_owned) | (~m_processor_v_CMD(c_p0, s5, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 50.47/33.10 tff(18074,plain,
% 50.47/33.10 (m_main_v_CMD(s5, c_read_h_owned)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[18073, 18065])).
% 50.47/33.10 tff(18075,plain,
% 50.47/33.10 (m_processor_v_CMD(c_p1, s5, c_read_h_owned)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[16959, 18074])).
% 50.47/33.10 tff(18076,plain,
% 50.47/33.10 ($false),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[710, 707, 18075, 18056])).
% 50.47/33.10 tff(18077,plain,((~node60(c_p1, s5)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | (~m_processor_v_abort(c_p0, s5))), inference(lemma,lemma(discharge,[]))).
% 50.47/33.10 tff(18078,plain,
% 50.47/33.10 (m_processor_v_CMD(c_p0, s5, c_read_h_shared)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[18077, 13784, 714])).
% 50.47/33.10 tff(18079,assumption,(m_processor_v_CMD(c_p0, s5, c_read_h_shared)), introduced(assumption)).
% 50.47/33.10 tff(18080,plain,
% 50.47/33.10 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s5, c_read_h_shared) | (~node2(s5)) | (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s5, c_read_h_shared) | (~node2(s5)) | (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)))),
% 50.47/33.10 inference(rewrite,[status(thm)],[])).
% 50.47/33.10 tff(18081,plain,
% 50.47/33.10 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s5, c_read_h_shared) | (~node2(s5)) | (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)))),
% 50.47/33.10 inference(quant_inst,[status(thm)],[])).
% 50.47/33.10 tff(18082,plain,
% 50.47/33.10 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s5, c_read_h_shared) | (~node2(s5)) | (~m_processor_v_CMD(c_p0, s5, c_read_h_shared))),
% 50.47/33.10 inference(modus_ponens,[status(thm)],[18081, 18080])).
% 50.47/33.10 tff(18083,plain,
% 50.47/33.10 ($false),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[18082, 1612, 13841, 13912, 18079])).
% 50.47/33.10 tff(18084,plain,((~m_processor_v_CMD(c_p0, s5, c_read_h_shared)) | m_main_v_CMD(s5, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.47/33.10 tff(18085,plain,
% 50.47/33.10 (m_main_v_CMD(s5, c_read_h_shared)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[18084, 18078])).
% 50.47/33.10 tff(18086,plain,
% 50.47/33.10 ($false),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[16980, 1945, 13607, 13922, 650])).
% 50.47/33.10 tff(18087,plain,((~m_main_v_CMD(s5, c_read_h_shared)) | m_processor_v_CMD(c_p1, s5, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.47/33.10 tff(18088,plain,
% 50.47/33.10 ($false),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[18087, 18085, 18055])).
% 50.47/33.10 tff(18089,plain,((~m_processor_v_abort(c_p0, s5)) | (~node60(c_p1, s5))), inference(lemma,lemma(discharge,[]))).
% 50.47/33.10 tff(18090,plain,
% 50.47/33.10 (~m_processor_v_abort(c_p0, s5)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[18089, 699])).
% 50.47/33.10 tff(18091,plain,
% 50.47/33.10 (m_processor_v_cmd(c_p0, s5, c_idle)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[13657, 798])).
% 50.47/33.10 tff(18092,plain,
% 50.47/33.10 (m_main_v_CMD(s5, c_read_h_owned)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[13623, 1260, 700, 13607])).
% 50.47/33.10 tff(18093,plain,
% 50.47/33.10 (~m_processor_v_cmd(c_p1, s5, c_idle)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[13769, 18092, 18091])).
% 50.47/33.10 tff(18094,plain,
% 50.47/33.10 (m_processor_v_state(c_p0, s6, c_invalid)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14120, 18093, 2305, 18090, 143, 1, 18053])).
% 50.47/33.10 tff(18095,plain,
% 50.47/33.10 (m_processor_v_CMD(c_p0, s8, c_read_h_owned)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[15134, 14408, 14759])).
% 50.47/33.10 tff(18096,plain,
% 50.47/33.10 (m_processor_v_master(c_p0, s8)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14888, 14408, 14759])).
% 50.47/33.10 tff(18097,assumption,(m_processor_v_CMD(c_p0, s8, c_read_h_owned)), introduced(assumption)).
% 50.47/33.10 tff(18098,plain,
% 50.47/33.10 (node47(c_p0, s8)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[15149, 14814, 15530, 18097, 14758])).
% 50.47/33.10 tff(18099,plain,
% 50.47/33.10 (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[15157, 14814, 14758, 15530])).
% 50.47/33.10 tff(18100,plain,
% 50.47/33.10 ($false),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[15161, 657, 18099, 18098])).
% 50.47/33.10 tff(18101,plain,(m_processor_v_abort(c_p0, s8) | (~m_processor_v_master(c_p0, s8)) | (~m_processor_v_CMD(c_p0, s8, c_read_h_owned)) | m_processor_v_waiting(c_p0, s9)), inference(lemma,lemma(discharge,[]))).
% 50.47/33.10 tff(18102,plain,
% 50.47/33.10 (m_processor_v_abort(c_p0, s8)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[18101, 18096, 18095, 14758])).
% 50.47/33.10 tff(18103,plain,
% 50.47/33.10 (node32(c_p0, s8, s9)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14811, 18102])).
% 50.47/33.10 tff(18104,plain,
% 50.47/33.10 (~m_processor_v_state(c_p0, s8, c_shared)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14847, 18103, 14767])).
% 50.47/33.10 tff(18105,plain,
% 50.47/33.10 (~m_processor_v_state(c_p0, s8, c_invalid)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[14797, 18103, 14771])).
% 50.47/33.10 tff(18106,plain,
% 50.47/33.10 (~m_processor_v_state(c_p0, s7, c_shared)),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[16414, 55, 14468, 14438])).
% 50.47/33.10 tff(18107,plain,
% 50.47/33.10 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_state(c_p0, s8, c_owned) | (~node32(c_p0, s7, s8)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_state(c_p0, s8, c_owned) | (~node32(c_p0, s7, s8)))),
% 50.47/33.10 inference(rewrite,[status(thm)],[])).
% 50.47/33.10 tff(18108,plain,
% 50.47/33.10 (((~node32(c_p0, s7, s8)) | (~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_state(c_p0, s8, c_owned)) <=> ((~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_state(c_p0, s8, c_owned) | (~node32(c_p0, s7, s8)))),
% 50.47/33.10 inference(rewrite,[status(thm)],[])).
% 50.47/33.10 tff(18109,plain,
% 50.47/33.10 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s7, s8)) | (~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_state(c_p0, s8, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_state(c_p0, s8, c_owned) | (~node32(c_p0, s7, s8))))),
% 50.47/33.10 inference(monotonicity,[status(thm)],[18108])).
% 50.47/33.10 tff(18110,plain,
% 50.47/33.10 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s7, s8)) | (~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_state(c_p0, s8, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_state(c_p0, s8, c_owned) | (~node32(c_p0, s7, s8)))),
% 50.47/33.10 inference(transitivity,[status(thm)],[18109, 18107])).
% 50.47/33.10 tff(18111,plain,
% 50.47/33.10 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s7, s8)) | (~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_state(c_p0, s8, c_owned))),
% 50.47/33.10 inference(quant_inst,[status(thm)],[])).
% 50.47/33.10 tff(18112,plain,
% 50.47/33.10 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_state(c_p0, s8, c_owned) | (~node32(c_p0, s7, s8))),
% 50.47/33.10 inference(modus_ponens,[status(thm)],[18111, 18110])).
% 50.47/33.10 tff(18113,plain,
% 50.47/33.10 ($false),
% 50.47/33.10 inference(unit_resolution,[status(thm)],[18112, 380, 2313, 14408, 14504])).
% 50.49/33.11 tff(18114,plain,((~node32(c_p0, s7, s8)) | (~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_state(c_p0, s8, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.49/33.11 tff(18115,plain,
% 50.49/33.11 (~node32(c_p0, s7, s8)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18114, 16259, 14408])).
% 50.49/33.11 tff(18116,plain,
% 50.49/33.11 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_state(c_p0, s8, c_owned) | (~node37(c_p0, s7, s8)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_state(c_p0, s8, c_owned) | (~node37(c_p0, s7, s8)))),
% 50.49/33.11 inference(rewrite,[status(thm)],[])).
% 50.49/33.11 tff(18117,plain,
% 50.49/33.11 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_state(c_p0, s8, c_owned) | (~node37(c_p0, s7, s8)))),
% 50.49/33.11 inference(quant_inst,[status(thm)],[])).
% 50.49/33.11 tff(18118,plain,
% 50.49/33.11 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_state(c_p0, s8, c_owned) | (~node37(c_p0, s7, s8))),
% 50.49/33.11 inference(modus_ponens,[status(thm)],[18117, 18116])).
% 50.49/33.11 tff(18119,plain,
% 50.49/33.11 ($false),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18118, 2411, 2313, 14408, 14525])).
% 50.49/33.11 tff(18120,plain,(m_processor_v_state(c_p0, s8, c_owned) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~node37(c_p0, s7, s8))), inference(lemma,lemma(discharge,[]))).
% 50.49/33.11 tff(18121,plain,
% 50.49/33.11 (~node37(c_p0, s7, s8)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18120, 16259, 14408])).
% 50.49/33.11 tff(18122,plain,
% 50.49/33.11 (m_processor_v_abort(c_p0, s7)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[14538, 18121, 55, 2326, 15218])).
% 50.49/33.11 tff(18123,plain,
% 50.49/33.11 ($false),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[14492, 18122, 18115])).
% 50.49/33.11 tff(18124,plain,(m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_master(c_p0, s7) | m_processor_v_state(c_p0, s8, c_owned) | m_processor_v_state(c_p0, s7, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.49/33.11 tff(18125,plain,
% 50.49/33.11 ($false),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18124, 16410, 18106, 14408, 55])).
% 50.49/33.11 tff(18126,plain,(m_processor_v_master(c_p0, s7) | m_processor_v_state(c_p0, s8, c_owned) | m_processor_v_state(c_p0, s8, c_invalid) | m_processor_v_state(c_p0, s8, c_shared)), inference(lemma,lemma(discharge,[]))).
% 50.49/33.11 tff(18127,plain,
% 50.49/33.11 ($false),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18126, 18105, 18104, 14408, 55])).
% 50.49/33.11 tff(18128,plain,(m_processor_v_state(c_p0, s8, c_owned) | m_processor_v_master(c_p0, s7) | m_processor_v_waiting(c_p0, s9) | (~m_processor_v_state(c_p0, s9, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.49/33.11 tff(18129,plain,
% 50.49/33.11 (m_processor_v_state(c_p0, s8, c_owned)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18128, 55, 14759, 14758])).
% 50.49/33.11 tff(18130,plain,
% 50.49/33.11 (m_processor_v_state(c_p0, s7, c_owned)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[14544, 18129, 55])).
% 50.49/33.11 tff(18131,plain,
% 50.49/33.11 (m_processor_v_master(c_p0, s6)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[2437, 18130, 5])).
% 50.49/33.11 tff(18132,plain,
% 50.49/33.11 (~m_processor_v_master(c_p1, s6)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[16318, 18131])).
% 50.49/33.11 tff(18133,plain,
% 50.49/33.11 (m_processor_v_master(c_p1, s6) | m_processor_v_reply_h_waiting(c_p1, s6)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[14167, 2296, 533])).
% 50.49/33.11 tff(18134,plain,
% 50.49/33.11 (m_processor_v_reply_h_waiting(c_p1, s6)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18133, 18132])).
% 50.49/33.11 tff(18135,plain,
% 50.49/33.11 (~node6(s6)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[14176, 18134])).
% 50.49/33.11 tff(18136,plain,
% 50.49/33.11 (~m_processor_v_state(c_p0, s8, c_invalid)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[14429, 18129])).
% 50.49/33.11 tff(18137,plain,
% 50.49/33.11 (~m_processor_v_state(c_p0, s7, c_invalid)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[14541, 18136, 55])).
% 50.49/33.11 tff(18138,plain,
% 50.49/33.11 (m_processor_v_cmd(c_p1, s6, c_idle)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[14156, 18132])).
% 50.49/33.11 tff(18139,plain,
% 50.49/33.11 (~m_processor_v_REPLY_h_WAITING(c_p0, s6)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[14404, 18138, 5, 2392, 18137])).
% 50.49/33.11 tff(18140,plain,
% 50.49/33.11 (~m_main_v_REPLY_h_WAITING(s6)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[14192, 18139])).
% 50.49/33.11 tff(18141,plain,
% 50.49/33.11 ($false),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[14184, 18140, 18135])).
% 50.49/33.11 tff(18142,plain,(m_processor_v_master(c_p0, s7) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_state(c_p0, s6, c_invalid)) | (~m_processor_v_waiting(c_p1, s6)) | (~m_processor_v_state(c_p0, s9, c_owned)) | m_processor_v_waiting(c_p0, s9)), inference(lemma,lemma(discharge,[]))).
% 50.49/33.11 tff(18143,plain,
% 50.49/33.11 (m_processor_v_master(c_p0, s7)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18142, 2305, 18094, 18049, 18045, 18044])).
% 50.49/33.11 tff(18144,plain,
% 50.49/33.11 (~m_processor_v_master(c_p1, s7)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[13229, 794, 18143])).
% 50.49/33.11 tff(18145,plain,
% 50.49/33.11 (m_processor_v_state(c_p1, s7, c_owned)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[13152, 18144, 6550])).
% 50.49/33.11 tff(18146,plain,
% 50.49/33.11 (m_processor_v_writable(c_p1, s9)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[6259, 18041])).
% 50.49/33.11 tff(18147,plain,
% 50.49/33.11 (node56(c_p1, s9)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[6267, 18146])).
% 50.49/33.11 tff(18148,plain,
% 50.49/33.11 (~m_processor_v_waiting(c_p1, s9)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[6546, 540, 18147])).
% 50.49/33.11 tff(18149,plain,
% 50.49/33.11 (m_processor_v_state(c_p1, s9, c_owned)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[6275, 18147])).
% 50.49/33.11 tff(18150,plain,
% 50.49/33.11 (~m_processor_v_state(c_p1, s9, c_invalid)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[6279, 137, 18149])).
% 50.49/33.11 tff(18151,plain,
% 50.49/33.11 (~m_processor_v_state(c_p1, s9, c_shared)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[6286, 121, 18149])).
% 50.49/33.11 tff(18152,plain,
% 50.49/33.11 (~m_processor_v_state(c_p1, s7, c_invalid)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[13403, 137, 18145])).
% 50.49/33.11 tff(18153,plain,
% 50.49/33.11 (m_processor_v_master(c_p1, s6)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18035, 18152, 53, 2305])).
% 50.49/33.11 tff(18154,plain,
% 50.49/33.11 (~m_processor_v_master(c_p0, s6)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[16318, 18153])).
% 50.49/33.11 tff(18155,plain,
% 50.49/33.11 (~m_processor_v_state(c_p0, s7, c_owned)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[2437, 18154, 2305])).
% 50.49/33.11 tff(18156,plain,
% 50.49/33.11 (m_processor_v_state(c_p0, s7, c_invalid)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[2434, 18154, 18094])).
% 50.49/33.11 tff(18157,plain,
% 50.49/33.11 ($false),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[16223, 18156, 18155, 18151, 6550, 18044, 18150, 18045, 18148, 18145])).
% 50.49/33.11 tff(18158,plain,(m_processor_v_state(c_p1, s6, c_invalid) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p0, s4, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.49/33.11 tff(18159,plain,
% 50.49/33.11 (m_processor_v_state(c_p1, s6, c_invalid)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18158, 1, 53, 54])).
% 50.49/33.11 tff(18160,plain,
% 50.49/33.11 (m_processor_v_state(c_p1, s7, c_owned)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[13399, 5949, 53])).
% 50.49/33.11 tff(18161,plain,
% 50.49/33.11 (m_processor_v_state(c_p0, s6, c_owned)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18040, 5949, 53])).
% 50.49/33.11 tff(18162,plain,
% 50.49/33.11 (m_processor_v_writable(c_p0, s7)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[2592, 2587])).
% 50.49/33.11 tff(18163,plain,
% 50.49/33.11 (node56(c_p0, s7)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[2584, 18162])).
% 50.49/33.11 tff(18164,plain,
% 50.49/33.11 (~m_processor_v_waiting(c_p0, s7)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[2574, 540, 18163])).
% 50.49/33.11 tff(18165,plain,
% 50.49/33.11 (m_processor_v_state(c_p0, s7, c_owned)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[2311, 18163])).
% 50.49/33.11 tff(18166,plain,
% 50.49/33.11 (~m_processor_v_state(c_p0, s7, c_invalid)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[2316, 137, 18165])).
% 50.49/33.11 tff(18167,plain,
% 50.49/33.11 (~m_processor_v_state(c_p0, s7, c_shared)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[2324, 121, 18165])).
% 50.49/33.11 tff(18168,plain,
% 50.49/33.11 (m_processor_v_writable(c_p1, s7)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[12530, 2587])).
% 50.49/33.11 tff(18169,plain,
% 50.49/33.11 (node56(c_p1, s7)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[12523, 18168])).
% 50.49/33.11 tff(18170,plain,
% 50.49/33.11 (((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p1, s7)) | (~node56(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p1, s7)) | (~node56(c_p1, s7)))),
% 50.49/33.11 inference(rewrite,[status(thm)],[])).
% 50.49/33.11 tff(18171,plain,
% 50.49/33.11 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p1, s7)) | (~node56(c_p1, s7)))),
% 50.49/33.11 inference(quant_inst,[status(thm)],[])).
% 50.49/33.11 tff(18172,plain,
% 50.49/33.11 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p1, s7)) | (~node56(c_p1, s7))),
% 50.49/33.11 inference(modus_ponens,[status(thm)],[18171, 18170])).
% 50.49/33.11 tff(18173,plain,
% 50.49/33.11 (~m_processor_v_waiting(c_p1, s7)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18172, 540, 18169])).
% 50.49/33.11 tff(18174,assumption,(~m_processor_v_waiting(c_p1, s7)), introduced(assumption)).
% 50.49/33.11 tff(18175,plain,
% 50.49/33.11 (~m_processor_v_state(c_p1, s6, c_invalid)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[13615, 13405, 13436, 1])).
% 50.49/33.11 tff(18176,plain,
% 50.49/33.11 (~node32(c_p1, s5, s6)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[566, 18175, 53, 1])).
% 50.49/33.11 tff(18177,plain,
% 50.49/33.11 (~m_processor_v_abort(c_p1, s5)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[250, 18176])).
% 50.49/33.11 tff(18178,plain,
% 50.49/33.11 (m_processor_v_CMD(c_p1, s5, c_read_h_owned)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[629, 18175, 53, 1])).
% 50.49/33.11 tff(18179,plain,
% 50.49/33.11 (m_processor_v_master(c_p1, s5)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[13585, 13405, 53, 1, 13435])).
% 50.49/33.11 tff(18180,plain,
% 50.49/33.11 (node34(c_p1, s5, s6)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[617, 18175, 53, 1])).
% 50.49/33.11 tff(18181,plain,
% 50.49/33.11 (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[422, 416, 1, 18180])).
% 50.49/33.11 tff(18182,plain,
% 50.49/33.11 (~node47(c_p1, s5)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[662, 18181])).
% 50.49/33.11 tff(18183,plain,
% 50.49/33.11 (m_processor_v_waiting(c_p1, s6)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[647, 18182, 18179, 18178, 18177])).
% 50.49/33.11 tff(18184,plain,
% 50.49/33.11 (m_processor_v_reply_h_waiting(c_p1, s6)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[14168, 18183])).
% 50.49/33.11 tff(18185,plain,
% 50.49/33.11 (~node6(s6)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[14176, 18184])).
% 50.49/33.11 tff(18186,plain,
% 50.49/33.11 (m_main_v_REPLY_h_WAITING(s6)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[14184, 18185])).
% 50.49/33.11 tff(18187,assumption,(~m_processor_v_REPLY_h_WAITING(c_p1, s6)), introduced(assumption)).
% 50.49/33.11 tff(18188,plain,
% 50.49/33.11 (((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | ((~m_main_v_REPLY_h_WAITING(s6)) | m_processor_v_REPLY_h_WAITING(c_p1, s6))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | (~m_main_v_REPLY_h_WAITING(s6)) | m_processor_v_REPLY_h_WAITING(c_p1, s6))),
% 50.49/33.11 inference(rewrite,[status(thm)],[])).
% 50.49/33.11 tff(18189,plain,
% 50.49/33.11 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | ((~m_main_v_REPLY_h_WAITING(s6)) | m_processor_v_REPLY_h_WAITING(c_p1, s6))),
% 50.49/33.11 inference(quant_inst,[status(thm)],[])).
% 50.49/33.11 tff(18190,plain,
% 50.49/33.11 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | (~m_main_v_REPLY_h_WAITING(s6)) | m_processor_v_REPLY_h_WAITING(c_p1, s6)),
% 50.49/33.11 inference(modus_ponens,[status(thm)],[18189, 18188])).
% 50.49/33.11 tff(18191,plain,
% 50.49/33.11 ($false),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18190, 745, 14186, 18187])).
% 50.49/33.11 tff(18192,plain,(m_processor_v_REPLY_h_WAITING(c_p1, s6) | (~m_main_v_REPLY_h_WAITING(s6))), inference(lemma,lemma(discharge,[]))).
% 50.49/33.11 tff(18193,plain,
% 50.49/33.11 (m_processor_v_REPLY_h_WAITING(c_p1, s6)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18192, 18186])).
% 50.49/33.11 tff(18194,plain,
% 50.49/33.11 (~m_processor_v_state(c_p0, s6, c_invalid)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[1035, 137, 785])).
% 50.49/33.11 tff(18195,plain,
% 50.49/33.11 (~m_processor_v_master(c_p0, s5)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[797, 794, 18179])).
% 50.49/33.11 tff(18196,plain,
% 50.49/33.11 (m_processor_v_state(c_p0, s6, c_owned)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[819, 813, 812])).
% 50.49/33.11 tff(18197,plain,
% 50.49/33.11 (m_processor_v_state(c_p0, s5, c_owned)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[1055, 800, 812, 18196, 813])).
% 50.49/33.11 tff(18198,assumption,(~m_processor_v_reply_h_owned(c_p0, s5)), introduced(assumption)).
% 50.49/33.11 tff(18199,plain,
% 50.49/33.11 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_master(c_p0, s5) | m_processor_v_reply_h_owned(c_p0, s5))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_master(c_p0, s5) | m_processor_v_reply_h_owned(c_p0, s5))),
% 50.49/33.11 inference(rewrite,[status(thm)],[])).
% 50.49/33.11 tff(18200,plain,
% 50.49/33.11 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_master(c_p0, s5) | m_processor_v_reply_h_owned(c_p0, s5))),
% 50.49/33.11 inference(quant_inst,[status(thm)],[])).
% 50.49/33.11 tff(18201,plain,
% 50.49/33.11 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_master(c_p0, s5) | m_processor_v_reply_h_owned(c_p0, s5)),
% 50.49/33.11 inference(modus_ponens,[status(thm)],[18200, 18199])).
% 50.49/33.11 tff(18202,plain,
% 50.49/33.11 ((~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_master(c_p0, s5)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18201, 10170, 18198])).
% 50.49/33.11 tff(18203,plain,
% 50.49/33.11 ($false),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18202, 18197, 800])).
% 50.49/33.11 tff(18204,plain,(m_processor_v_master(c_p0, s5) | m_processor_v_reply_h_owned(c_p0, s5) | m_processor_v_state(c_p0, s6, c_invalid) | m_processor_v_state(c_p0, s6, c_shared)), inference(lemma,lemma(discharge,[]))).
% 50.49/33.11 tff(18205,plain,
% 50.49/33.11 (m_processor_v_reply_h_owned(c_p0, s5)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18204, 18195, 810, 18194])).
% 50.49/33.11 tff(18206,assumption,(m_processor_v_reply_h_owned(c_p0, s5)), introduced(assumption)).
% 50.49/33.11 tff(18207,assumption,(node5(s5)), introduced(assumption)).
% 50.49/33.11 tff(18208,plain,
% 50.49/33.11 (((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | ((~node5(s5)) | (~m_processor_v_reply_h_owned(c_p0, s5)))) <=> ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | (~node5(s5)) | (~m_processor_v_reply_h_owned(c_p0, s5)))),
% 50.49/33.11 inference(rewrite,[status(thm)],[])).
% 50.49/33.11 tff(18209,plain,
% 50.49/33.11 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | ((~node5(s5)) | (~m_processor_v_reply_h_owned(c_p0, s5)))),
% 50.49/33.11 inference(quant_inst,[status(thm)],[])).
% 50.49/33.11 tff(18210,plain,
% 50.49/33.11 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | (~node5(s5)) | (~m_processor_v_reply_h_owned(c_p0, s5))),
% 50.49/33.11 inference(modus_ponens,[status(thm)],[18209, 18208])).
% 50.49/33.11 tff(18211,plain,
% 50.49/33.11 ($false),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18210, 10185, 18207, 18206])).
% 50.49/33.11 tff(18212,plain,((~m_processor_v_reply_h_owned(c_p0, s5)) | (~node5(s5))), inference(lemma,lemma(discharge,[]))).
% 50.49/33.11 tff(18213,plain,
% 50.49/33.11 (~node5(s5)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18212, 18205])).
% 50.49/33.11 tff(18214,assumption,(~node5(s5)), introduced(assumption)).
% 50.49/33.11 tff(18215,assumption,(~m_main_v_REPLY_h_OWNED(s5)), introduced(assumption)).
% 50.49/33.11 tff(18216,plain,
% 50.49/33.11 (((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | (m_main_v_REPLY_h_OWNED(s5) | node5(s5))) <=> ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | m_main_v_REPLY_h_OWNED(s5) | node5(s5))),
% 50.49/33.11 inference(rewrite,[status(thm)],[])).
% 50.49/33.11 tff(18217,plain,
% 50.49/33.11 ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | (m_main_v_REPLY_h_OWNED(s5) | node5(s5))),
% 50.49/33.11 inference(quant_inst,[status(thm)],[])).
% 50.49/33.11 tff(18218,plain,
% 50.49/33.11 ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | m_main_v_REPLY_h_OWNED(s5) | node5(s5)),
% 50.49/33.11 inference(modus_ponens,[status(thm)],[18217, 18216])).
% 50.49/33.11 tff(18219,plain,
% 50.49/33.11 ($false),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18218, 10196, 18215, 18214])).
% 50.49/33.11 tff(18220,plain,(m_main_v_REPLY_h_OWNED(s5) | node5(s5)), inference(lemma,lemma(discharge,[]))).
% 50.49/33.11 tff(18221,plain,
% 50.49/33.11 (m_main_v_REPLY_h_OWNED(s5)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18220, 18213])).
% 50.49/33.11 tff(18222,assumption,(~m_memory_v_REPLY_h_OWNED(c_m, s5)), introduced(assumption)).
% 50.49/33.11 tff(18223,assumption,(m_main_v_REPLY_h_OWNED(s5)), introduced(assumption)).
% 50.49/33.11 tff(18224,plain,
% 50.49/33.11 (((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | ((~m_main_v_REPLY_h_OWNED(s5)) | m_memory_v_REPLY_h_OWNED(c_m, s5))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | (~m_main_v_REPLY_h_OWNED(s5)) | m_memory_v_REPLY_h_OWNED(c_m, s5))),
% 50.49/33.11 inference(rewrite,[status(thm)],[])).
% 50.49/33.11 tff(18225,plain,
% 50.49/33.11 ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | ((~m_main_v_REPLY_h_OWNED(s5)) | m_memory_v_REPLY_h_OWNED(c_m, s5))),
% 50.49/33.11 inference(quant_inst,[status(thm)],[])).
% 50.49/33.11 tff(18226,plain,
% 50.49/33.11 ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | (~m_main_v_REPLY_h_OWNED(s5)) | m_memory_v_REPLY_h_OWNED(c_m, s5)),
% 50.49/33.11 inference(modus_ponens,[status(thm)],[18225, 18224])).
% 50.49/33.11 tff(18227,plain,
% 50.49/33.11 ($false),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18226, 10210, 18223, 18222])).
% 50.49/33.11 tff(18228,plain,(m_memory_v_REPLY_h_OWNED(c_m, s5) | (~m_main_v_REPLY_h_OWNED(s5))), inference(lemma,lemma(discharge,[]))).
% 50.49/33.11 tff(18229,plain,
% 50.49/33.11 (m_memory_v_REPLY_h_OWNED(c_m, s5)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18228, 18221])).
% 50.49/33.11 tff(18230,plain,
% 50.49/33.11 (m_main_v_CMD(s5, c_read_h_owned)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[13623, 1260, 18178, 13607])).
% 50.49/33.11 tff(18231,plain,
% 50.49/33.11 (((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s5)) | (~m_main_v_CMD(s5, c_read_h_owned)) | m_memory_v_CMD(c_m, s5, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s5)) | (~m_main_v_CMD(s5, c_read_h_owned)) | m_memory_v_CMD(c_m, s5, c_read_h_owned))),
% 50.49/33.11 inference(rewrite,[status(thm)],[])).
% 50.49/33.11 tff(18232,plain,
% 50.49/33.11 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s5)) | (~m_main_v_CMD(s5, c_read_h_owned)) | m_memory_v_CMD(c_m, s5, c_read_h_owned))),
% 50.49/33.11 inference(quant_inst,[status(thm)],[])).
% 50.49/33.11 tff(18233,plain,
% 50.49/33.11 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s5)) | (~m_main_v_CMD(s5, c_read_h_owned)) | m_memory_v_CMD(c_m, s5, c_read_h_owned)),
% 50.49/33.11 inference(modus_ponens,[status(thm)],[18232, 18231])).
% 50.49/33.11 tff(18234,plain,
% 50.49/33.11 (m_memory_v_CMD(c_m, s5, c_read_h_owned)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18233, 4207, 18230, 6954])).
% 50.49/33.11 tff(18235,plain,
% 50.49/33.11 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | ((~m_memory_v_CMD(c_m, s5, c_read_h_owned)) | (~node25(c_m, s5)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | (~m_memory_v_CMD(c_m, s5, c_read_h_owned)) | (~node25(c_m, s5)))),
% 50.49/33.11 inference(rewrite,[status(thm)],[])).
% 50.49/33.11 tff(18236,plain,
% 50.49/33.11 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | ((~m_memory_v_CMD(c_m, s5, c_read_h_owned)) | (~node25(c_m, s5)))),
% 50.49/33.11 inference(quant_inst,[status(thm)],[])).
% 50.49/33.11 tff(18237,plain,
% 50.49/33.11 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | (~m_memory_v_CMD(c_m, s5, c_read_h_owned)) | (~node25(c_m, s5))),
% 50.49/33.11 inference(modus_ponens,[status(thm)],[18236, 18235])).
% 50.49/33.11 tff(18238,plain,
% 50.49/33.11 (~node25(c_m, s5)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18237, 9959, 18234])).
% 50.49/33.11 tff(18239,assumption,(~node25(c_m, s5)), introduced(assumption)).
% 50.49/33.11 tff(18240,assumption,(m_memory_v_REPLY_h_OWNED(c_m, s5)), introduced(assumption)).
% 50.49/33.11 tff(18241,assumption,(node26(c_m, s5)), introduced(assumption)).
% 50.49/33.11 tff(18242,plain,
% 50.49/33.11 (((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | (node25(c_m, s5) | (~node26(c_m, s5)) | (~m_memory_v_REPLY_h_OWNED(c_m, s5)))) <=> ((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | node25(c_m, s5) | (~node26(c_m, s5)) | (~m_memory_v_REPLY_h_OWNED(c_m, s5)))),
% 50.49/33.11 inference(rewrite,[status(thm)],[])).
% 50.49/33.11 tff(18243,plain,
% 50.49/33.11 ((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | (node25(c_m, s5) | (~node26(c_m, s5)) | (~m_memory_v_REPLY_h_OWNED(c_m, s5)))),
% 50.49/33.11 inference(quant_inst,[status(thm)],[])).
% 50.49/33.11 tff(18244,plain,
% 50.49/33.11 ((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | node25(c_m, s5) | (~node26(c_m, s5)) | (~m_memory_v_REPLY_h_OWNED(c_m, s5))),
% 50.49/33.11 inference(modus_ponens,[status(thm)],[18243, 18242])).
% 50.49/33.11 tff(18245,plain,
% 50.49/33.11 ($false),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18244, 10227, 18241, 18240, 18239])).
% 50.49/33.11 tff(18246,plain,((~node26(c_m, s5)) | (~m_memory_v_REPLY_h_OWNED(c_m, s5)) | node25(c_m, s5)), inference(lemma,lemma(discharge,[]))).
% 50.49/33.11 tff(18247,plain,
% 50.49/33.11 (~node26(c_m, s5)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18246, 18238, 18229])).
% 50.49/33.11 tff(18248,assumption,(~node26(c_m, s5)), introduced(assumption)).
% 50.49/33.11 tff(18249,assumption,(~m_memory_v_abort(c_m, s5)), introduced(assumption)).
% 50.49/33.11 tff(18250,plain,
% 50.49/33.11 (((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | (m_memory_v_abort(c_m, s5) | node26(c_m, s5))) <=> ((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | m_memory_v_abort(c_m, s5) | node26(c_m, s5))),
% 50.49/33.11 inference(rewrite,[status(thm)],[])).
% 50.49/33.11 tff(18251,plain,
% 50.49/33.11 ((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | (m_memory_v_abort(c_m, s5) | node26(c_m, s5))),
% 50.49/33.11 inference(quant_inst,[status(thm)],[])).
% 50.49/33.11 tff(18252,plain,
% 50.49/33.11 ((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | m_memory_v_abort(c_m, s5) | node26(c_m, s5)),
% 50.49/33.11 inference(modus_ponens,[status(thm)],[18251, 18250])).
% 50.49/33.11 tff(18253,plain,
% 50.49/33.11 ($false),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18252, 7810, 18249, 18248])).
% 50.49/33.11 tff(18254,plain,(node26(c_m, s5) | m_memory_v_abort(c_m, s5)), inference(lemma,lemma(discharge,[]))).
% 50.49/33.11 tff(18255,plain,
% 50.49/33.11 (m_memory_v_abort(c_m, s5)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18254, 18247])).
% 50.49/33.11 tff(18256,plain,
% 50.49/33.11 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | ((~trans(s5, s6)) | node23(c_m, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | (~trans(s5, s6)) | node23(c_m, s5, s6))),
% 50.49/33.11 inference(rewrite,[status(thm)],[])).
% 50.49/33.11 tff(18257,plain,
% 50.49/33.11 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | ((~trans(s5, s6)) | node23(c_m, s5, s6))),
% 50.49/33.11 inference(quant_inst,[status(thm)],[])).
% 50.49/33.11 tff(18258,plain,
% 50.49/33.11 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | (~trans(s5, s6)) | node23(c_m, s5, s6)),
% 50.49/33.11 inference(modus_ponens,[status(thm)],[18257, 18256])).
% 50.49/33.11 tff(18259,plain,
% 50.49/33.11 (node23(c_m, s5, s6)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18258, 4490, 203])).
% 50.49/33.11 tff(18260,plain,
% 50.49/33.11 (((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | ((~node23(c_m, s5, s6)) | node18(c_m, s5, s6) | (~m_memory_v_abort(c_m, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (~node23(c_m, s5, s6)) | node18(c_m, s5, s6) | (~m_memory_v_abort(c_m, s5)))),
% 50.49/33.11 inference(rewrite,[status(thm)],[])).
% 50.49/33.11 tff(18261,plain,
% 50.49/33.11 ((node18(c_m, s5, s6) | (~node23(c_m, s5, s6)) | (~m_memory_v_abort(c_m, s5))) <=> ((~node23(c_m, s5, s6)) | node18(c_m, s5, s6) | (~m_memory_v_abort(c_m, s5)))),
% 50.49/33.11 inference(rewrite,[status(thm)],[])).
% 50.49/33.11 tff(18262,plain,
% 50.49/33.11 (((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (node18(c_m, s5, s6) | (~node23(c_m, s5, s6)) | (~m_memory_v_abort(c_m, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | ((~node23(c_m, s5, s6)) | node18(c_m, s5, s6) | (~m_memory_v_abort(c_m, s5))))),
% 50.49/33.11 inference(monotonicity,[status(thm)],[18261])).
% 50.49/33.11 tff(18263,plain,
% 50.49/33.11 (((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (node18(c_m, s5, s6) | (~node23(c_m, s5, s6)) | (~m_memory_v_abort(c_m, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (~node23(c_m, s5, s6)) | node18(c_m, s5, s6) | (~m_memory_v_abort(c_m, s5)))),
% 50.49/33.11 inference(transitivity,[status(thm)],[18262, 18260])).
% 50.49/33.11 tff(18264,plain,
% 50.49/33.11 ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (node18(c_m, s5, s6) | (~node23(c_m, s5, s6)) | (~m_memory_v_abort(c_m, s5)))),
% 50.49/33.11 inference(quant_inst,[status(thm)],[])).
% 50.49/33.11 tff(18265,plain,
% 50.49/33.11 ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (~node23(c_m, s5, s6)) | node18(c_m, s5, s6) | (~m_memory_v_abort(c_m, s5))),
% 50.49/33.11 inference(modus_ponens,[status(thm)],[18264, 18263])).
% 50.49/33.11 tff(18266,plain,
% 50.49/33.11 (node18(c_m, s5, s6) | (~m_memory_v_abort(c_m, s5))),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18265, 7383, 18259])).
% 50.49/33.11 tff(18267,plain,
% 50.49/33.11 (node18(c_m, s5, s6)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18266, 18255])).
% 50.49/33.11 tff(18268,plain,
% 50.49/33.11 (node60(c_p1, s5)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[698, 18177])).
% 50.49/33.11 tff(18269,plain,
% 50.49/33.11 (~m_processor_v_REPLY_h_STALL(c_p1, s5)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[13790, 18268])).
% 50.49/33.11 tff(18270,plain,
% 50.49/33.11 (~m_main_v_REPLY_h_STALL(s5)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[13797, 18269])).
% 50.49/33.11 tff(18271,plain,
% 50.49/33.11 (node7(s5)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[7305, 18270])).
% 50.49/33.11 tff(18272,plain,
% 50.49/33.11 (~m_memory_v_reply_h_stall(c_m, s5)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[7313, 18271])).
% 50.49/33.11 tff(18273,assumption,(m_memory_v_CMD(c_m, s5, c_read_h_owned)), introduced(assumption)).
% 50.49/33.11 tff(18274,plain,
% 50.49/33.11 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s5, c_read_h_owned)) | (~node30(c_m, s5)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | (~m_memory_v_CMD(c_m, s5, c_read_h_owned)) | (~node30(c_m, s5)))),
% 50.49/33.11 inference(rewrite,[status(thm)],[])).
% 50.49/33.11 tff(18275,plain,
% 50.49/33.11 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s5, c_read_h_owned)) | (~node30(c_m, s5)))),
% 50.49/33.11 inference(quant_inst,[status(thm)],[])).
% 50.49/33.11 tff(18276,plain,
% 50.49/33.11 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | (~m_memory_v_CMD(c_m, s5, c_read_h_owned)) | (~node30(c_m, s5))),
% 50.49/33.11 inference(modus_ponens,[status(thm)],[18275, 18274])).
% 50.49/33.11 tff(18277,plain,
% 50.49/33.11 ($false),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18276, 5042, 18273, 6933])).
% 50.49/33.11 tff(18278,plain,((~node30(c_m, s5)) | (~m_memory_v_CMD(c_m, s5, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 50.49/33.11 tff(18279,plain,
% 50.49/33.11 (~node30(c_m, s5)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18278, 18234])).
% 50.49/33.11 tff(18280,plain,
% 50.49/33.11 (~m_memory_v_busy(c_m, s5)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[7322, 18279, 18272])).
% 50.49/33.11 tff(18281,plain,
% 50.49/33.11 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | ((~m_memory_v_busy(c_m, s6)) | m_memory_v_busy(c_m, s5) | (~node18(c_m, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | (~m_memory_v_busy(c_m, s6)) | m_memory_v_busy(c_m, s5) | (~node18(c_m, s5, s6)))),
% 50.49/33.11 inference(rewrite,[status(thm)],[])).
% 50.49/33.11 tff(18282,plain,
% 50.49/33.11 (((~node18(c_m, s5, s6)) | m_memory_v_busy(c_m, s5) | (~m_memory_v_busy(c_m, s6))) <=> ((~m_memory_v_busy(c_m, s6)) | m_memory_v_busy(c_m, s5) | (~node18(c_m, s5, s6)))),
% 50.49/33.11 inference(rewrite,[status(thm)],[])).
% 50.49/33.11 tff(18283,plain,
% 50.49/33.11 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | ((~node18(c_m, s5, s6)) | m_memory_v_busy(c_m, s5) | (~m_memory_v_busy(c_m, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | ((~m_memory_v_busy(c_m, s6)) | m_memory_v_busy(c_m, s5) | (~node18(c_m, s5, s6))))),
% 50.49/33.11 inference(monotonicity,[status(thm)],[18282])).
% 50.49/33.11 tff(18284,plain,
% 50.49/33.11 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | ((~node18(c_m, s5, s6)) | m_memory_v_busy(c_m, s5) | (~m_memory_v_busy(c_m, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | (~m_memory_v_busy(c_m, s6)) | m_memory_v_busy(c_m, s5) | (~node18(c_m, s5, s6)))),
% 50.49/33.11 inference(transitivity,[status(thm)],[18283, 18281])).
% 50.49/33.11 tff(18285,plain,
% 50.49/33.11 ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | ((~node18(c_m, s5, s6)) | m_memory_v_busy(c_m, s5) | (~m_memory_v_busy(c_m, s6)))),
% 50.49/33.11 inference(quant_inst,[status(thm)],[])).
% 50.49/33.11 tff(18286,plain,
% 50.49/33.11 ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | (~m_memory_v_busy(c_m, s6)) | m_memory_v_busy(c_m, s5) | (~node18(c_m, s5, s6))),
% 50.49/33.11 inference(modus_ponens,[status(thm)],[18285, 18284])).
% 50.49/33.11 tff(18287,plain,
% 50.49/33.11 (~m_memory_v_busy(c_m, s6)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18286, 10278, 18280, 18267])).
% 50.49/33.11 tff(18288,assumption,(~m_memory_v_busy(c_m, s6)), introduced(assumption)).
% 50.49/33.11 tff(18289,plain,
% 50.49/33.11 (((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | ((~node29(c_m, s6)) | m_memory_v_busy(c_m, s6))) <=> ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (~node29(c_m, s6)) | m_memory_v_busy(c_m, s6))),
% 50.49/33.11 inference(rewrite,[status(thm)],[])).
% 50.49/33.11 tff(18290,plain,
% 50.49/33.11 ((m_memory_v_busy(c_m, s6) | (~node29(c_m, s6))) <=> ((~node29(c_m, s6)) | m_memory_v_busy(c_m, s6))),
% 50.49/33.11 inference(rewrite,[status(thm)],[])).
% 50.49/33.11 tff(18291,plain,
% 50.49/33.11 (((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s6) | (~node29(c_m, s6)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | ((~node29(c_m, s6)) | m_memory_v_busy(c_m, s6)))),
% 50.49/33.11 inference(monotonicity,[status(thm)],[18290])).
% 50.49/33.11 tff(18292,plain,
% 50.49/33.11 (((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s6) | (~node29(c_m, s6)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (~node29(c_m, s6)) | m_memory_v_busy(c_m, s6))),
% 50.49/33.11 inference(transitivity,[status(thm)],[18291, 18289])).
% 50.49/33.11 tff(18293,plain,
% 50.49/33.11 ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s6) | (~node29(c_m, s6)))),
% 50.49/33.11 inference(quant_inst,[status(thm)],[])).
% 50.49/33.11 tff(18294,plain,
% 50.49/33.11 ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (~node29(c_m, s6)) | m_memory_v_busy(c_m, s6)),
% 50.49/33.11 inference(modus_ponens,[status(thm)],[18293, 18292])).
% 50.49/33.11 tff(18295,plain,
% 50.49/33.11 ($false),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18294, 2072, 14287, 18288])).
% 50.49/33.11 tff(18296,plain,(m_memory_v_busy(c_m, s6) | (~node29(c_m, s6))), inference(lemma,lemma(discharge,[]))).
% 50.49/33.11 tff(18297,plain,
% 50.49/33.11 (~node29(c_m, s6)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[18296, 18287])).
% 50.49/33.11 tff(18298,plain,
% 50.49/33.11 (m_memory_v_cmd(c_m, s6, c_idle)),
% 50.49/33.11 inference(unit_resolution,[status(thm)],[14285, 18297])).
% 50.49/33.11 tff(18299,assumption,(node52(c_p1, s6, s7)), introduced(assumption)).
% 50.49/33.11 tff(18300,plain,
% 50.49/33.11 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p1, s6)) | m_processor_v_waiting(c_p1, s7) | (~node52(c_p1, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s6)) | m_processor_v_waiting(c_p1, s7) | (~node52(c_p1, s6, s7)))),
% 50.49/33.11 inference(rewrite,[status(thm)],[])).
% 50.49/33.11 tff(18301,plain,
% 50.49/33.12 ((m_processor_v_waiting(c_p1, s7) | (~m_processor_v_waiting(c_p1, s6)) | (~node52(c_p1, s6, s7))) <=> ((~m_processor_v_waiting(c_p1, s6)) | m_processor_v_waiting(c_p1, s7) | (~node52(c_p1, s6, s7)))),
% 50.49/33.12 inference(rewrite,[status(thm)],[])).
% 50.49/33.12 tff(18302,plain,
% 50.49/33.12 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s7) | (~m_processor_v_waiting(c_p1, s6)) | (~node52(c_p1, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p1, s6)) | m_processor_v_waiting(c_p1, s7) | (~node52(c_p1, s6, s7))))),
% 50.49/33.12 inference(monotonicity,[status(thm)],[18301])).
% 50.49/33.12 tff(18303,plain,
% 50.49/33.12 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s7) | (~m_processor_v_waiting(c_p1, s6)) | (~node52(c_p1, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s6)) | m_processor_v_waiting(c_p1, s7) | (~node52(c_p1, s6, s7)))),
% 50.49/33.12 inference(transitivity,[status(thm)],[18302, 18300])).
% 50.49/33.12 tff(18304,plain,
% 50.49/33.12 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s7) | (~m_processor_v_waiting(c_p1, s6)) | (~node52(c_p1, s6, s7)))),
% 50.49/33.12 inference(quant_inst,[status(thm)],[])).
% 50.49/33.12 tff(18305,plain,
% 50.49/33.12 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s6)) | m_processor_v_waiting(c_p1, s7) | (~node52(c_p1, s6, s7))),
% 50.49/33.12 inference(modus_ponens,[status(thm)],[18304, 18303])).
% 50.49/33.12 tff(18306,plain,
% 50.49/33.12 ($false),
% 50.49/33.12 inference(unit_resolution,[status(thm)],[18305, 10820, 18174, 533, 18299])).
% 50.49/33.12 tff(18307,plain,((~node52(c_p1, s6, s7)) | m_processor_v_waiting(c_p1, s7) | (~m_processor_v_waiting(c_p1, s6))), inference(lemma,lemma(discharge,[]))).
% 50.49/33.12 tff(18308,plain,
% 50.49/33.12 (~node52(c_p1, s6, s7)),
% 50.49/33.12 inference(unit_resolution,[status(thm)],[18307, 18183, 18174])).
% 50.49/33.12 tff(18309,plain,
% 50.49/33.12 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p1, s6) | (~node48(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p1, s6) | (~node48(c_p1, s6)))),
% 50.49/33.12 inference(rewrite,[status(thm)],[])).
% 50.49/33.12 tff(18310,plain,
% 50.49/33.12 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p1, s6) | (~node48(c_p1, s6)))),
% 50.49/33.12 inference(quant_inst,[status(thm)],[])).
% 50.49/33.12 tff(18311,plain,
% 50.49/33.12 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p1, s6) | (~node48(c_p1, s6))),
% 50.49/33.12 inference(modus_ponens,[status(thm)],[18310, 18309])).
% 50.49/33.12 tff(18312,plain,
% 50.49/33.12 (~node48(c_p1, s6)),
% 50.49/33.12 inference(unit_resolution,[status(thm)],[18311, 11562, 13405])).
% 50.49/33.12 tff(18313,plain,
% 50.49/33.12 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p1, s6) | (~node47(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p1, s6) | (~node47(c_p1, s6)))),
% 50.49/33.12 inference(rewrite,[status(thm)],[])).
% 50.49/33.12 tff(18314,plain,
% 50.49/33.12 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p1, s6) | (~node47(c_p1, s6)))),
% 50.49/33.12 inference(quant_inst,[status(thm)],[])).
% 50.49/33.12 tff(18315,plain,
% 50.49/33.12 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p1, s6) | (~node47(c_p1, s6))),
% 50.49/33.12 inference(modus_ponens,[status(thm)],[18314, 18313])).
% 50.49/33.12 tff(18316,plain,
% 50.49/33.12 (~node47(c_p1, s6)),
% 50.49/33.12 inference(unit_resolution,[status(thm)],[18315, 12108, 13405])).
% 50.49/33.12 tff(18317,assumption,(m_memory_v_cmd(c_m, s6, c_idle)), introduced(assumption)).
% 50.49/33.12 tff(18318,assumption,(m_processor_v_REPLY_h_WAITING(c_p1, s6)), introduced(assumption)).
% 50.49/33.12 tff(18319,assumption,(~node60(c_p1, s6)), introduced(assumption)).
% 50.49/33.12 tff(18320,plain,
% 50.49/33.12 (((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p1, s6) | node60(c_p1, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p1, s6) | node60(c_p1, s6))),
% 50.49/33.12 inference(rewrite,[status(thm)],[])).
% 50.49/33.12 tff(18321,plain,
% 50.49/33.12 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p1, s6) | node60(c_p1, s6))),
% 50.49/33.12 inference(quant_inst,[status(thm)],[])).
% 50.49/33.12 tff(18322,plain,
% 50.49/33.12 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p1, s6) | node60(c_p1, s6)),
% 50.49/33.12 inference(modus_ponens,[status(thm)],[18321, 18320])).
% 50.49/33.12 tff(18323,plain,
% 50.49/33.12 ($false),
% 50.49/33.12 inference(unit_resolution,[status(thm)],[18322, 693, 13406, 18319])).
% 50.49/33.12 tff(18324,plain,(node60(c_p1, s6) | m_processor_v_abort(c_p1, s6)), inference(lemma,lemma(discharge,[]))).
% 50.49/33.12 tff(18325,plain,
% 50.49/33.12 (node60(c_p1, s6)),
% 50.49/33.12 inference(unit_resolution,[status(thm)],[18324, 13406])).
% 50.49/33.12 tff(18326,assumption,(~node59(c_p1, s6)), introduced(assumption)).
% 50.49/33.12 tff(18327,assumption,(node60(c_p1, s6)), introduced(assumption)).
% 50.49/33.12 tff(18328,plain,
% 50.49/33.12 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p1, s6)) | (~node60(c_p1, s6)) | node59(c_p1, s6))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s6)) | (~node60(c_p1, s6)) | node59(c_p1, s6))),
% 50.49/33.12 inference(rewrite,[status(thm)],[])).
% 50.49/33.12 tff(18329,plain,
% 50.49/33.12 ((node59(c_p1, s6) | (~node60(c_p1, s6)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s6))) <=> ((~m_processor_v_REPLY_h_WAITING(c_p1, s6)) | (~node60(c_p1, s6)) | node59(c_p1, s6))),
% 50.49/33.12 inference(rewrite,[status(thm)],[])).
% 50.49/33.12 tff(18330,plain,
% 50.49/33.12 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s6) | (~node60(c_p1, s6)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p1, s6)) | (~node60(c_p1, s6)) | node59(c_p1, s6)))),
% 50.49/33.12 inference(monotonicity,[status(thm)],[18329])).
% 50.49/33.12 tff(18331,plain,
% 50.49/33.12 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s6) | (~node60(c_p1, s6)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s6)) | (~node60(c_p1, s6)) | node59(c_p1, s6))),
% 50.49/33.12 inference(transitivity,[status(thm)],[18330, 18328])).
% 50.49/33.12 tff(18332,plain,
% 50.49/33.12 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s6) | (~node60(c_p1, s6)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s6)))),
% 50.49/33.12 inference(quant_inst,[status(thm)],[])).
% 50.49/33.12 tff(18333,plain,
% 50.49/33.12 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s6)) | (~node60(c_p1, s6)) | node59(c_p1, s6)),
% 50.49/33.12 inference(modus_ponens,[status(thm)],[18332, 18331])).
% 50.49/33.12 tff(18334,plain,
% 50.49/33.12 ($false),
% 50.49/33.12 inference(unit_resolution,[status(thm)],[18333, 724, 18318, 18327, 18326])).
% 50.49/33.12 tff(18335,plain,(node59(c_p1, s6) | (~m_processor_v_REPLY_h_WAITING(c_p1, s6)) | (~node60(c_p1, s6))), inference(lemma,lemma(discharge,[]))).
% 50.49/33.12 tff(18336,plain,
% 50.49/33.12 (node59(c_p1, s6)),
% 50.49/33.12 inference(unit_resolution,[status(thm)],[18335, 18325, 18318])).
% 50.49/33.12 tff(18337,assumption,(node59(c_p1, s6)), introduced(assumption)).
% 50.49/33.12 tff(18338,plain,
% 50.49/33.12 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s6, c_read_h_owned)) | (~node59(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)) | (~node59(c_p1, s6)))),
% 50.49/33.12 inference(rewrite,[status(thm)],[])).
% 50.49/33.12 tff(18339,plain,
% 50.49/33.12 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s6, c_read_h_owned)) | (~node59(c_p1, s6)))),
% 50.49/33.12 inference(quant_inst,[status(thm)],[])).
% 50.49/33.12 tff(18340,plain,
% 50.49/33.12 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)) | (~node59(c_p1, s6))),
% 50.49/33.12 inference(modus_ponens,[status(thm)],[18339, 18338])).
% 50.49/33.12 tff(18341,plain,
% 50.49/33.12 ($false),
% 50.49/33.12 inference(unit_resolution,[status(thm)],[18340, 707, 13570, 18337])).
% 50.49/33.12 tff(18342,plain,((~m_processor_v_CMD(c_p1, s6, c_read_h_owned)) | (~node59(c_p1, s6))), inference(lemma,lemma(discharge,[]))).
% 50.49/33.12 tff(18343,plain,
% 50.49/33.12 (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 50.49/33.12 inference(unit_resolution,[status(thm)],[18342, 18336])).
% 50.49/33.12 tff(18344,plain,
% 50.49/33.12 (~m_main_v_CMD(s6, c_read_h_owned)),
% 50.49/33.12 inference(unit_resolution,[status(thm)],[16254, 18343])).
% 50.49/33.12 tff(18345,plain,
% 50.49/33.12 (~m_processor_v_CMD(c_p0, s6, c_read_h_owned)),
% 50.49/33.12 inference(unit_resolution,[status(thm)],[16241, 18344])).
% 50.49/33.12 tff(18346,plain,
% 50.49/33.12 (((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p1, s6)) | (~node60(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p1, s6)) | (~node60(c_p1, s6)))),
% 50.49/33.12 inference(rewrite,[status(thm)],[])).
% 50.49/33.12 tff(18347,plain,
% 50.49/33.12 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p1, s6)) | (~node60(c_p1, s6)))),
% 50.49/33.12 inference(quant_inst,[status(thm)],[])).
% 50.49/33.12 tff(18348,plain,
% 50.49/33.12 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p1, s6)) | (~node60(c_p1, s6))),
% 50.49/33.12 inference(modus_ponens,[status(thm)],[18347, 18346])).
% 50.49/33.12 tff(18349,plain,
% 50.49/33.12 ($false),
% 50.49/33.12 inference(unit_resolution,[status(thm)],[18348, 1363, 16283, 18327])).
% 50.49/33.12 tff(18350,plain,((~node60(c_p1, s6)) | (~m_processor_v_REPLY_h_STALL(c_p1, s6))), inference(lemma,lemma(discharge,[]))).
% 50.49/33.12 tff(18351,plain,
% 50.49/33.12 (~m_processor_v_REPLY_h_STALL(c_p1, s6)),
% 50.49/33.12 inference(unit_resolution,[status(thm)],[18350, 18325])).
% 50.49/33.12 tff(18352,plain,
% 50.49/33.12 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | ((~m_main_v_REPLY_h_STALL(s6)) | m_processor_v_REPLY_h_STALL(c_p1, s6))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | (~m_main_v_REPLY_h_STALL(s6)) | m_processor_v_REPLY_h_STALL(c_p1, s6))),
% 50.49/33.12 inference(rewrite,[status(thm)],[])).
% 50.49/33.12 tff(18353,plain,
% 50.49/33.12 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | ((~m_main_v_REPLY_h_STALL(s6)) | m_processor_v_REPLY_h_STALL(c_p1, s6))),
% 50.49/33.12 inference(quant_inst,[status(thm)],[])).
% 50.49/33.12 tff(18354,plain,
% 50.49/33.12 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | (~m_main_v_REPLY_h_STALL(s6)) | m_processor_v_REPLY_h_STALL(c_p1, s6)),
% 50.49/33.12 inference(modus_ponens,[status(thm)],[18353, 18352])).
% 50.49/33.12 tff(18355,plain,
% 50.49/33.12 ($false),
% 50.49/33.12 inference(unit_resolution,[status(thm)],[18354, 1713, 16275, 16292])).
% 50.49/33.12 tff(18356,plain,(m_processor_v_REPLY_h_STALL(c_p1, s6) | (~m_main_v_REPLY_h_STALL(s6))), inference(lemma,lemma(discharge,[]))).
% 50.49/33.12 tff(18357,plain,
% 50.49/33.12 (~m_main_v_REPLY_h_STALL(s6)),
% 50.49/33.12 inference(unit_resolution,[status(thm)],[18356, 18351])).
% 50.49/33.12 tff(18358,plain,
% 50.49/33.12 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | (m_main_v_REPLY_h_STALL(s6) | (~m_processor_v_REPLY_h_STALL(c_p0, s6)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | m_main_v_REPLY_h_STALL(s6) | (~m_processor_v_REPLY_h_STALL(c_p0, s6)))),
% 50.49/33.12 inference(rewrite,[status(thm)],[])).
% 50.49/33.12 tff(18359,plain,
% 50.49/33.12 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | (m_main_v_REPLY_h_STALL(s6) | (~m_processor_v_REPLY_h_STALL(c_p0, s6)))),
% 50.49/33.12 inference(quant_inst,[status(thm)],[])).
% 50.49/33.12 tff(18360,plain,
% 50.49/33.12 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | m_main_v_REPLY_h_STALL(s6) | (~m_processor_v_REPLY_h_STALL(c_p0, s6))),
% 50.49/33.12 inference(modus_ponens,[status(thm)],[18359, 18358])).
% 50.49/33.12 tff(18361,plain,
% 50.49/33.12 ($false),
% 50.49/33.12 inference(unit_resolution,[status(thm)],[18360, 1729, 16268, 16284])).
% 50.49/33.12 tff(18362,plain,(m_main_v_REPLY_h_STALL(s6) | (~m_processor_v_REPLY_h_STALL(c_p0, s6))), inference(lemma,lemma(discharge,[]))).
% 50.49/33.12 tff(18363,plain,
% 50.49/33.12 (~m_processor_v_REPLY_h_STALL(c_p0, s6)),
% 50.49/33.12 inference(unit_resolution,[status(thm)],[18362, 18357])).
% 50.49/33.12 tff(18364,assumption,(m_processor_v_CMD(c_p1, s6, c_read_h_shared)), introduced(assumption)).
% 50.49/33.12 tff(18365,plain,
% 50.49/33.12 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s6, c_read_h_shared)) | (~node59(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)) | (~node59(c_p1, s6)))),
% 50.49/33.12 inference(rewrite,[status(thm)],[])).
% 50.49/33.12 tff(18366,plain,
% 50.49/33.12 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s6, c_read_h_shared)) | (~node59(c_p1, s6)))),
% 50.49/33.12 inference(quant_inst,[status(thm)],[])).
% 50.49/33.12 tff(18367,plain,
% 50.49/33.12 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)) | (~node59(c_p1, s6))),
% 50.49/33.12 inference(modus_ponens,[status(thm)],[18366, 18365])).
% 50.49/33.12 tff(18368,plain,
% 50.49/33.12 ($false),
% 50.49/33.12 inference(unit_resolution,[status(thm)],[18367, 3834, 18364, 18337])).
% 50.49/33.12 tff(18369,plain,((~node59(c_p1, s6)) | (~m_processor_v_CMD(c_p1, s6, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 50.49/33.12 tff(18370,plain,
% 50.49/33.12 (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)),
% 50.49/33.12 inference(unit_resolution,[status(thm)],[18369, 18336])).
% 50.49/33.12 tff(18371,assumption,(~m_processor_v_CMD(c_p1, s6, c_read_h_shared)), introduced(assumption)).
% 50.49/33.12 tff(18372,plain,
% 50.49/33.12 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s6, c_read_h_shared) | (~m_main_v_CMD(s6, c_read_h_shared)) | (~node3(s6)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | (~m_main_v_CMD(s6, c_read_h_shared)) | (~node3(s6)))),
% 50.49/33.12 inference(rewrite,[status(thm)],[])).
% 50.49/33.12 tff(18373,plain,
% 50.49/33.12 (((~m_main_v_CMD(s6, c_read_h_shared)) | (~node3(s6)) | m_processor_v_CMD(c_p1, s6, c_read_h_shared)) <=> (m_processor_v_CMD(c_p1, s6, c_read_h_shared) | (~m_main_v_CMD(s6, c_read_h_shared)) | (~node3(s6)))),
% 50.49/33.12 inference(rewrite,[status(thm)],[])).
% 50.49/33.12 tff(18374,plain,
% 50.49/33.12 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s6, c_read_h_shared)) | (~node3(s6)) | m_processor_v_CMD(c_p1, s6, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s6, c_read_h_shared) | (~m_main_v_CMD(s6, c_read_h_shared)) | (~node3(s6))))),
% 50.51/33.12 inference(monotonicity,[status(thm)],[18373])).
% 50.51/33.12 tff(18375,plain,
% 50.51/33.12 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s6, c_read_h_shared)) | (~node3(s6)) | m_processor_v_CMD(c_p1, s6, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | (~m_main_v_CMD(s6, c_read_h_shared)) | (~node3(s6)))),
% 50.51/33.12 inference(transitivity,[status(thm)],[18374, 18372])).
% 50.51/33.12 tff(18376,plain,
% 50.51/33.12 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s6, c_read_h_shared)) | (~node3(s6)) | m_processor_v_CMD(c_p1, s6, c_read_h_shared))),
% 50.51/33.12 inference(quant_inst,[status(thm)],[])).
% 50.51/33.12 tff(18377,plain,
% 50.51/33.12 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | (~m_main_v_CMD(s6, c_read_h_shared)) | (~node3(s6))),
% 50.51/33.12 inference(modus_ponens,[status(thm)],[18376, 18375])).
% 50.51/33.12 tff(18378,plain,
% 50.51/33.12 ($false),
% 50.51/33.12 inference(unit_resolution,[status(thm)],[18377, 1945, 16246, 14351, 18371])).
% 50.51/33.12 tff(18379,plain,((~m_main_v_CMD(s6, c_read_h_shared)) | m_processor_v_CMD(c_p1, s6, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.12 tff(18380,plain,
% 50.51/33.12 (~m_main_v_CMD(s6, c_read_h_shared)),
% 50.51/33.12 inference(unit_resolution,[status(thm)],[18379, 18370])).
% 50.51/33.12 tff(18381,plain,
% 50.51/33.12 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s6, c_read_h_shared) | (~node2(s6)) | (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s6, c_read_h_shared) | (~node2(s6)) | (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)))),
% 50.51/33.12 inference(rewrite,[status(thm)],[])).
% 50.51/33.12 tff(18382,plain,
% 50.51/33.12 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s6, c_read_h_shared) | (~node2(s6)) | (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)))),
% 50.51/33.12 inference(quant_inst,[status(thm)],[])).
% 50.51/33.12 tff(18383,plain,
% 50.51/33.12 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s6, c_read_h_shared) | (~node2(s6)) | (~m_processor_v_CMD(c_p0, s6, c_read_h_shared))),
% 50.51/33.12 inference(modus_ponens,[status(thm)],[18382, 18381])).
% 50.51/33.12 tff(18384,plain,
% 50.51/33.12 ($false),
% 50.51/33.12 inference(unit_resolution,[status(thm)],[18383, 1612, 14355, 14317, 14366])).
% 50.51/33.12 tff(18385,plain,((~m_processor_v_CMD(c_p0, s6, c_read_h_shared)) | m_main_v_CMD(s6, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.12 tff(18386,plain,
% 50.51/33.12 (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)),
% 50.51/33.12 inference(unit_resolution,[status(thm)],[18385, 18380])).
% 50.51/33.12 tff(18387,assumption,(node61(c_p0, s6)), introduced(assumption)).
% 50.51/33.12 tff(18388,plain,
% 50.51/33.12 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~node61(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~node61(c_p0, s6)))),
% 50.51/33.12 inference(rewrite,[status(thm)],[])).
% 50.51/33.12 tff(18389,plain,
% 50.51/33.12 ((m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | (~node61(c_p0, s6))) <=> (m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~node61(c_p0, s6)))),
% 50.51/33.12 inference(rewrite,[status(thm)],[])).
% 50.51/33.12 tff(18390,plain,
% 50.51/33.12 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | (~node61(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~node61(c_p0, s6))))),
% 50.51/33.12 inference(monotonicity,[status(thm)],[18389])).
% 50.51/33.12 tff(18391,plain,
% 50.51/33.12 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | (~node61(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~node61(c_p0, s6)))),
% 50.51/33.12 inference(transitivity,[status(thm)],[18390, 18388])).
% 50.51/33.12 tff(18392,plain,
% 50.51/33.12 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | (~node61(c_p0, s6)))),
% 50.51/33.12 inference(quant_inst,[status(thm)],[])).
% 50.51/33.12 tff(18393,plain,
% 50.51/33.12 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~node61(c_p0, s6))),
% 50.51/33.12 inference(modus_ponens,[status(thm)],[18392, 18391])).
% 50.51/33.12 tff(18394,plain,
% 50.51/33.12 ($false),
% 50.51/33.12 inference(unit_resolution,[status(thm)],[18393, 2268, 2439, 14350, 18387])).
% 50.51/33.12 tff(18395,plain,((~node61(c_p0, s6)) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.12 tff(18396,plain,
% 50.51/33.12 (~node61(c_p0, s6)),
% 50.51/33.12 inference(unit_resolution,[status(thm)],[18395, 18345, 18386])).
% 50.51/33.12 tff(18397,assumption,(~node61(c_p0, s6)), introduced(assumption)).
% 50.51/33.12 tff(18398,assumption,(m_processor_v_abort(c_p0, s6)), introduced(assumption)).
% 50.51/33.12 tff(18399,plain,
% 50.51/33.12 (((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p0, s6)) | m_processor_v_REPLY_h_STALL(c_p0, s6) | node61(c_p0, s6))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p0, s6)) | m_processor_v_REPLY_h_STALL(c_p0, s6) | node61(c_p0, s6))),
% 50.51/33.12 inference(rewrite,[status(thm)],[])).
% 50.51/33.12 tff(18400,plain,
% 50.51/33.12 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p0, s6)) | m_processor_v_REPLY_h_STALL(c_p0, s6) | node61(c_p0, s6))),
% 50.51/33.12 inference(quant_inst,[status(thm)],[])).
% 50.51/33.12 tff(18401,plain,
% 50.51/33.12 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p0, s6)) | m_processor_v_REPLY_h_STALL(c_p0, s6) | node61(c_p0, s6)),
% 50.51/33.12 inference(modus_ponens,[status(thm)],[18400, 18399])).
% 50.51/33.12 tff(18402,plain,
% 50.51/33.12 ($false),
% 50.51/33.12 inference(unit_resolution,[status(thm)],[18401, 1417, 18398, 16276, 18397])).
% 50.51/33.12 tff(18403,plain,((~m_processor_v_abort(c_p0, s6)) | m_processor_v_REPLY_h_STALL(c_p0, s6) | node61(c_p0, s6)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.12 tff(18404,plain,
% 50.51/33.12 (~m_processor_v_abort(c_p0, s6)),
% 50.51/33.12 inference(unit_resolution,[status(thm)],[18403, 18396, 18363])).
% 50.51/33.12 tff(18405,plain,
% 50.51/33.12 (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)),
% 50.51/33.12 inference(unit_resolution,[status(thm)],[2564, 2441, 2541, 14200])).
% 50.51/33.12 tff(18406,plain,
% 50.51/33.12 (~m_processor_v_master(c_p1, s6)),
% 50.51/33.12 inference(unit_resolution,[status(thm)],[16318, 2441])).
% 50.51/33.12 tff(18407,plain,
% 50.51/33.12 (m_processor_v_cmd(c_p1, s6, c_idle)),
% 50.51/33.12 inference(unit_resolution,[status(thm)],[14156, 18406])).
% 50.51/33.12 tff(18408,plain,
% 50.51/33.12 (node8(s6)),
% 50.51/33.12 inference(unit_resolution,[status(thm)],[14307, 18407, 2441])).
% 50.51/33.12 tff(18409,plain,
% 50.51/33.12 (node60(c_p0, s6)),
% 50.51/33.12 inference(unit_resolution,[status(thm)],[14205, 14200])).
% 50.51/33.12 tff(18410,plain,
% 50.51/33.12 (~m_processor_v_REPLY_h_STALL(c_p0, s6)),
% 50.51/33.12 inference(unit_resolution,[status(thm)],[16273, 18409])).
% 50.51/33.12 tff(18411,plain,
% 50.51/33.12 (~node61(c_p0, s6)),
% 50.51/33.12 inference(unit_resolution,[status(thm)],[18395, 2439, 14350])).
% 50.51/33.12 tff(18412,plain,
% 50.51/33.12 (~m_processor_v_abort(c_p0, s6)),
% 50.51/33.12 inference(unit_resolution,[status(thm)],[18403, 18411, 16276])).
% 50.51/33.12 tff(18413,plain,
% 50.51/33.12 (node34(c_p0, s6, s7)),
% 50.51/33.12 inference(unit_resolution,[status(thm)],[2449, 18412, 2441])).
% 50.51/33.12 tff(18414,plain,
% 50.51/33.12 (~m_processor_v_CMD(c_p0, s6, c_write_h_invalid)),
% 50.51/33.12 inference(unit_resolution,[status(thm)],[2496, 512, 2358, 18413, 2439, 14350])).
% 50.51/33.12 tff(18415,assumption,(~m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_invalid)), introduced(assumption)).
% 50.51/33.12 tff(18416,plain,
% 50.51/33.12 (m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid))),
% 50.51/33.12 inference(unit_resolution,[status(thm)],[2530, 438, 2358, 18413, 2439, 14350])).
% 50.51/33.12 tff(18417,plain,
% 50.51/33.12 (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)),
% 50.51/33.12 inference(unit_resolution,[status(thm)],[18416, 18414])).
% 50.51/33.12 tff(18418,plain,
% 50.51/33.12 (m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s6, c_write_h_shared))),
% 50.51/33.12 inference(unit_resolution,[status(thm)],[2504, 456, 2326, 18413, 2439, 14350])).
% 50.51/33.12 tff(18419,plain,
% 50.51/33.12 (~m_processor_v_CMD(c_p0, s6, c_write_h_shared)),
% 50.51/33.12 inference(unit_resolution,[status(thm)],[18418, 18417, 18414])).
% 50.51/33.12 tff(18420,plain,
% 50.51/33.12 (m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | m_processor_v_CMD(c_p0, s6, c_write_h_shared) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared))),
% 50.51/33.12 inference(unit_resolution,[status(thm)],[2520, 492, 2326, 18413, 2439, 14350])).
% 50.51/33.12 tff(18421,plain,
% 50.51/33.12 (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)),
% 50.51/33.12 inference(unit_resolution,[status(thm)],[18420, 18419, 18417, 18414])).
% 50.51/33.12 tff(18422,assumption,(m_main_v_CMD(s6, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.51/33.12 tff(18423,assumption,(~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.51/33.12 tff(18424,plain,
% 50.51/33.12 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared) | (~m_main_v_CMD(s6, c_write_h_resp_h_shared)) | (~node2(s6)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared) | (~m_main_v_CMD(s6, c_write_h_resp_h_shared)) | (~node2(s6)))),
% 50.51/33.12 inference(rewrite,[status(thm)],[])).
% 50.51/33.12 tff(18425,plain,
% 50.51/33.12 (((~m_main_v_CMD(s6, c_write_h_resp_h_shared)) | (~node2(s6)) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared) | (~m_main_v_CMD(s6, c_write_h_resp_h_shared)) | (~node2(s6)))),
% 50.51/33.12 inference(rewrite,[status(thm)],[])).
% 50.51/33.12 tff(18426,plain,
% 50.51/33.12 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s6, c_write_h_resp_h_shared)) | (~node2(s6)) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared) | (~m_main_v_CMD(s6, c_write_h_resp_h_shared)) | (~node2(s6))))),
% 50.51/33.12 inference(monotonicity,[status(thm)],[18425])).
% 50.51/33.12 tff(18427,plain,
% 50.51/33.12 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s6, c_write_h_resp_h_shared)) | (~node2(s6)) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared) | (~m_main_v_CMD(s6, c_write_h_resp_h_shared)) | (~node2(s6)))),
% 50.51/33.12 inference(transitivity,[status(thm)],[18426, 18424])).
% 50.51/33.12 tff(18428,plain,
% 50.51/33.12 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s6, c_write_h_resp_h_shared)) | (~node2(s6)) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared))),
% 50.51/33.12 inference(quant_inst,[status(thm)],[])).
% 50.51/33.12 tff(18429,plain,
% 50.51/33.12 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared) | (~m_main_v_CMD(s6, c_write_h_resp_h_shared)) | (~node2(s6))),
% 50.51/33.12 inference(modus_ponens,[status(thm)],[18428, 18427])).
% 50.51/33.12 tff(18430,plain,
% 50.51/33.12 ($false),
% 50.51/33.12 inference(unit_resolution,[status(thm)],[18429, 1228, 14355, 18423, 18422])).
% 50.51/33.12 tff(18431,plain,((~m_main_v_CMD(s6, c_write_h_resp_h_shared)) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.12 tff(18432,plain,
% 50.51/33.12 (~m_main_v_CMD(s6, c_write_h_resp_h_shared)),
% 50.51/33.12 inference(unit_resolution,[status(thm)],[18431, 18421])).
% 50.51/33.12 tff(18433,assumption,(m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.51/33.12 tff(18434,assumption,(~m_main_v_CMD(s6, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.51/33.13 tff(18435,plain,
% 50.51/33.13 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s6, c_write_h_resp_h_shared) | (~node8(s6)) | (~m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s6, c_write_h_resp_h_shared) | (~node8(s6)) | (~m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_shared)))),
% 50.51/33.13 inference(rewrite,[status(thm)],[])).
% 50.51/33.13 tff(18436,plain,
% 50.51/33.13 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s6, c_write_h_resp_h_shared) | (~node8(s6)) | (~m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_shared)))),
% 50.51/33.13 inference(quant_inst,[status(thm)],[])).
% 50.51/33.13 tff(18437,plain,
% 50.51/33.13 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s6, c_write_h_resp_h_shared) | (~node8(s6)) | (~m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_shared))),
% 50.51/33.13 inference(modus_ponens,[status(thm)],[18436, 18435])).
% 50.51/33.13 tff(18438,plain,
% 50.51/33.13 ($false),
% 50.51/33.13 inference(unit_resolution,[status(thm)],[18437, 1669, 18434, 14310, 18433])).
% 50.51/33.13 tff(18439,plain,(m_main_v_CMD(s6, c_write_h_resp_h_shared) | (~node8(s6)) | (~m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_shared))), inference(lemma,lemma(discharge,[]))).
% 50.51/33.13 tff(18440,plain,
% 50.51/33.13 (~m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_shared)),
% 50.51/33.13 inference(unit_resolution,[status(thm)],[18439, 18432, 14310])).
% 50.51/33.13 tff(18441,assumption,(~m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.51/33.13 tff(18442,plain,
% 50.51/33.13 (~node62(c_p0, s6)),
% 50.51/33.13 inference(unit_resolution,[status(thm)],[14344, 1633, 18194])).
% 50.51/33.13 tff(18443,plain,
% 50.51/33.13 (~m_processor_v_state(c_p0, s6, c_shared)),
% 50.51/33.13 inference(unit_resolution,[status(thm)],[807, 121, 785])).
% 50.51/33.13 tff(18444,plain,
% 50.51/33.13 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p0, s6, c_shared) | (~node63(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p0, s6, c_shared) | (~node63(c_p0, s6)))),
% 50.51/33.13 inference(rewrite,[status(thm)],[])).
% 50.51/33.13 tff(18445,plain,
% 50.51/33.13 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p0, s6, c_shared) | (~node63(c_p0, s6)))),
% 50.51/33.13 inference(quant_inst,[status(thm)],[])).
% 50.51/33.13 tff(18446,plain,
% 50.51/33.13 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p0, s6, c_shared) | (~node63(c_p0, s6))),
% 50.51/33.13 inference(modus_ponens,[status(thm)],[18445, 18444])).
% 50.51/33.13 tff(18447,plain,
% 50.51/33.13 (~node63(c_p0, s6)),
% 50.51/33.13 inference(unit_resolution,[status(thm)],[18446, 1809, 18443])).
% 50.51/33.13 tff(18448,assumption,(node64(c_p0, s6)), introduced(assumption)).
% 50.51/33.13 tff(18449,plain,
% 50.51/33.13 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p0, s6, c_owned) | (~node64(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p0, s6, c_owned) | (~node64(c_p0, s6)))),
% 50.51/33.13 inference(rewrite,[status(thm)],[])).
% 50.51/33.13 tff(18450,plain,
% 50.51/33.13 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p0, s6, c_owned) | (~node64(c_p0, s6)))),
% 50.51/33.13 inference(quant_inst,[status(thm)],[])).
% 50.51/33.13 tff(18451,plain,
% 50.51/33.13 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p0, s6, c_owned) | (~node64(c_p0, s6))),
% 50.51/33.13 inference(modus_ponens,[status(thm)],[18450, 18449])).
% 50.51/33.13 tff(18452,plain,
% 50.51/33.13 (m_processor_v_snoop(c_p0, s6, c_owned)),
% 50.51/33.13 inference(unit_resolution,[status(thm)],[18451, 4082, 18448])).
% 50.51/33.13 tff(18453,plain,
% 50.51/33.13 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p0, s6) | (~node64(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p0, s6) | (~node64(c_p0, s6)))),
% 50.51/33.13 inference(rewrite,[status(thm)],[])).
% 50.51/33.13 tff(18454,plain,
% 50.51/33.13 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | (m_processor_v_master(c_p0, s6) | (~node64(c_p0, s6)))),
% 50.51/33.13 inference(quant_inst,[status(thm)],[])).
% 50.51/33.13 tff(18455,plain,
% 50.51/33.13 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node64(I0, X)))) | m_processor_v_master(c_p0, s6) | (~node64(c_p0, s6))),
% 50.51/33.13 inference(modus_ponens,[status(thm)],[18454, 18453])).
% 50.51/33.13 tff(18456,plain,
% 50.51/33.13 (m_processor_v_master(c_p0, s6)),
% 50.51/33.13 inference(unit_resolution,[status(thm)],[18455, 1482, 18448])).
% 50.51/33.13 tff(18457,plain,
% 50.51/33.13 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p0, s6, c_owned)) | node62(c_p0, s6) | (~m_processor_v_master(c_p0, s6)) | node63(c_p0, s6) | (~m_processor_v_snoop(c_p0, s6, c_owned)) | m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p0, s6, c_owned)) | node62(c_p0, s6) | (~m_processor_v_master(c_p0, s6)) | node63(c_p0, s6) | (~m_processor_v_snoop(c_p0, s6, c_owned)) | m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_invalid))),
% 50.51/33.13 inference(rewrite,[status(thm)],[])).
% 50.51/33.13 tff(18458,plain,
% 50.51/33.13 ((m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s6, c_owned)) | (~m_processor_v_state(c_p0, s6, c_owned)) | (~m_processor_v_master(c_p0, s6)) | node62(c_p0, s6) | node63(c_p0, s6)) <=> ((~m_processor_v_state(c_p0, s6, c_owned)) | node62(c_p0, s6) | (~m_processor_v_master(c_p0, s6)) | node63(c_p0, s6) | (~m_processor_v_snoop(c_p0, s6, c_owned)) | m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_invalid))),
% 50.51/33.13 inference(rewrite,[status(thm)],[])).
% 50.51/33.13 tff(18459,plain,
% 50.51/33.13 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s6, c_owned)) | (~m_processor_v_state(c_p0, s6, c_owned)) | (~m_processor_v_master(c_p0, s6)) | node62(c_p0, s6) | node63(c_p0, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p0, s6, c_owned)) | node62(c_p0, s6) | (~m_processor_v_master(c_p0, s6)) | node63(c_p0, s6) | (~m_processor_v_snoop(c_p0, s6, c_owned)) | m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_invalid)))),
% 50.51/33.13 inference(monotonicity,[status(thm)],[18458])).
% 50.51/33.13 tff(18460,plain,
% 50.51/33.13 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s6, c_owned)) | (~m_processor_v_state(c_p0, s6, c_owned)) | (~m_processor_v_master(c_p0, s6)) | node62(c_p0, s6) | node63(c_p0, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p0, s6, c_owned)) | node62(c_p0, s6) | (~m_processor_v_master(c_p0, s6)) | node63(c_p0, s6) | (~m_processor_v_snoop(c_p0, s6, c_owned)) | m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_invalid))),
% 50.51/33.13 inference(transitivity,[status(thm)],[18459, 18457])).
% 50.51/33.13 tff(18461,plain,
% 50.51/33.13 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s6, c_owned)) | (~m_processor_v_state(c_p0, s6, c_owned)) | (~m_processor_v_master(c_p0, s6)) | node62(c_p0, s6) | node63(c_p0, s6))),
% 50.51/33.13 inference(quant_inst,[status(thm)],[])).
% 50.51/33.13 tff(18462,plain,
% 50.51/33.13 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p0, s6, c_owned)) | node62(c_p0, s6) | (~m_processor_v_master(c_p0, s6)) | node63(c_p0, s6) | (~m_processor_v_snoop(c_p0, s6, c_owned)) | m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_invalid)),
% 50.51/33.13 inference(modus_ponens,[status(thm)],[18461, 18460])).
% 50.51/33.13 tff(18463,plain,
% 50.51/33.13 (node62(c_p0, s6) | (~m_processor_v_master(c_p0, s6)) | node63(c_p0, s6) | (~m_processor_v_snoop(c_p0, s6, c_owned)) | m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_invalid)),
% 50.51/33.13 inference(unit_resolution,[status(thm)],[18462, 7172, 785])).
% 50.51/33.13 tff(18464,plain,
% 50.51/33.13 ($false),
% 50.51/33.13 inference(unit_resolution,[status(thm)],[18463, 18456, 18452, 18447, 18442, 18415])).
% 50.51/33.13 tff(18465,plain,((~node64(c_p0, s6)) | m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_invalid) | (~m_processor_v_state(c_p0, s6, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.51/33.13 tff(18466,plain,
% 50.51/33.13 (~node64(c_p0, s6)),
% 50.51/33.13 inference(unit_resolution,[status(thm)],[18465, 18415, 785])).
% 50.51/33.13 tff(18467,plain,
% 50.51/33.13 (~node63(c_p0, s6)),
% 50.51/33.13 inference(unit_resolution,[status(thm)],[18446, 1809, 810])).
% 50.51/33.13 tff(18468,plain,
% 50.51/33.13 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p0, s6, c_owned)) | node62(c_p0, s6) | (~m_processor_v_snoop(c_p0, s6, c_shared)) | (~m_processor_v_master(c_p0, s6)) | node63(c_p0, s6) | node64(c_p0, s6) | m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p0, s6, c_owned)) | node62(c_p0, s6) | (~m_processor_v_snoop(c_p0, s6, c_shared)) | (~m_processor_v_master(c_p0, s6)) | node63(c_p0, s6) | node64(c_p0, s6) | m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_shared))),
% 50.51/33.13 inference(rewrite,[status(thm)],[])).
% 50.51/33.13 tff(18469,plain,
% 50.51/33.13 ((m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s6, c_shared)) | (~m_processor_v_state(c_p0, s6, c_owned)) | (~m_processor_v_master(c_p0, s6)) | node62(c_p0, s6) | node63(c_p0, s6) | node64(c_p0, s6)) <=> ((~m_processor_v_state(c_p0, s6, c_owned)) | node62(c_p0, s6) | (~m_processor_v_snoop(c_p0, s6, c_shared)) | (~m_processor_v_master(c_p0, s6)) | node63(c_p0, s6) | node64(c_p0, s6) | m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_shared))),
% 50.51/33.13 inference(rewrite,[status(thm)],[])).
% 50.51/33.13 tff(18470,plain,
% 50.51/33.13 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s6, c_shared)) | (~m_processor_v_state(c_p0, s6, c_owned)) | (~m_processor_v_master(c_p0, s6)) | node62(c_p0, s6) | node63(c_p0, s6) | node64(c_p0, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p0, s6, c_owned)) | node62(c_p0, s6) | (~m_processor_v_snoop(c_p0, s6, c_shared)) | (~m_processor_v_master(c_p0, s6)) | node63(c_p0, s6) | node64(c_p0, s6) | m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_shared)))),
% 50.51/33.13 inference(monotonicity,[status(thm)],[18469])).
% 50.51/33.13 tff(18471,plain,
% 50.51/33.13 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s6, c_shared)) | (~m_processor_v_state(c_p0, s6, c_owned)) | (~m_processor_v_master(c_p0, s6)) | node62(c_p0, s6) | node63(c_p0, s6) | node64(c_p0, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p0, s6, c_owned)) | node62(c_p0, s6) | (~m_processor_v_snoop(c_p0, s6, c_shared)) | (~m_processor_v_master(c_p0, s6)) | node63(c_p0, s6) | node64(c_p0, s6) | m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_shared))),
% 50.51/33.13 inference(transitivity,[status(thm)],[18470, 18468])).
% 50.51/33.13 tff(18472,plain,
% 50.51/33.13 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s6, c_shared)) | (~m_processor_v_state(c_p0, s6, c_owned)) | (~m_processor_v_master(c_p0, s6)) | node62(c_p0, s6) | node63(c_p0, s6) | node64(c_p0, s6))),
% 50.51/33.13 inference(quant_inst,[status(thm)],[])).
% 50.51/33.13 tff(18473,plain,
% 50.51/33.13 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p0, s6, c_owned)) | node62(c_p0, s6) | (~m_processor_v_snoop(c_p0, s6, c_shared)) | (~m_processor_v_master(c_p0, s6)) | node63(c_p0, s6) | node64(c_p0, s6) | m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_shared)),
% 50.51/33.13 inference(modus_ponens,[status(thm)],[18472, 18471])).
% 50.51/33.13 tff(18474,plain,
% 50.51/33.13 (node62(c_p0, s6) | (~m_processor_v_snoop(c_p0, s6, c_shared)) | (~m_processor_v_master(c_p0, s6)) | node64(c_p0, s6) | m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_shared)),
% 50.51/33.13 inference(unit_resolution,[status(thm)],[18473, 7256, 785, 18467])).
% 50.51/33.13 tff(18475,plain,
% 50.51/33.13 (~m_processor_v_snoop(c_p0, s6, c_shared)),
% 50.51/33.13 inference(unit_resolution,[status(thm)],[18474, 18466, 18442, 2441, 18441])).
% 50.51/33.13 tff(18476,assumption,(~m_processor_v_cmd(c_p0, s6, c_write_h_invalid)), introduced(assumption)).
% 50.51/33.13 tff(18477,plain,
% 50.51/33.13 (node62(c_p0, s6) | (~m_processor_v_master(c_p0, s6)) | (~m_processor_v_snoop(c_p0, s6, c_owned)) | m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_invalid)),
% 50.51/33.13 inference(unit_resolution,[status(thm)],[18462, 7172, 785, 18467])).
% 50.51/33.13 tff(18478,plain,
% 50.51/33.13 (~m_processor_v_snoop(c_p0, s6, c_owned)),
% 50.51/33.13 inference(unit_resolution,[status(thm)],[18477, 18415, 18442, 2441])).
% 50.51/33.13 tff(18479,assumption,(~m_processor_v_snoop(c_p0, s6, c_owned)), introduced(assumption)).
% 50.51/33.13 tff(18480,assumption,(~m_processor_v_snoop(c_p0, s6, c_shared)), introduced(assumption)).
% 50.51/33.13 tff(18481,assumption,(~m_processor_v_snoop(c_p0, s6, c_invalid)), introduced(assumption)).
% 50.51/33.13 tff(18482,plain,
% 50.51/33.13 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s6, c_shared) | m_processor_v_snoop(c_p0, s6, c_invalid) | m_processor_v_snoop(c_p0, s6, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p0, s6, c_shared) | m_processor_v_snoop(c_p0, s6, c_invalid) | m_processor_v_snoop(c_p0, s6, c_owned))),
% 50.51/33.13 inference(rewrite,[status(thm)],[])).
% 50.51/33.13 tff(18483,plain,
% 50.51/33.13 ((m_processor_v_snoop(c_p0, s6, c_shared) | m_processor_v_snoop(c_p0, s6, c_owned) | m_processor_v_snoop(c_p0, s6, c_invalid)) <=> (m_processor_v_snoop(c_p0, s6, c_shared) | m_processor_v_snoop(c_p0, s6, c_invalid) | m_processor_v_snoop(c_p0, s6, c_owned))),
% 50.51/33.13 inference(rewrite,[status(thm)],[])).
% 50.51/33.13 tff(18484,plain,
% 50.51/33.13 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s6, c_shared) | m_processor_v_snoop(c_p0, s6, c_owned) | m_processor_v_snoop(c_p0, s6, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s6, c_shared) | m_processor_v_snoop(c_p0, s6, c_invalid) | m_processor_v_snoop(c_p0, s6, c_owned)))),
% 50.51/33.13 inference(monotonicity,[status(thm)],[18483])).
% 50.51/33.13 tff(18485,plain,
% 50.51/33.13 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s6, c_shared) | m_processor_v_snoop(c_p0, s6, c_owned) | m_processor_v_snoop(c_p0, s6, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p0, s6, c_shared) | m_processor_v_snoop(c_p0, s6, c_invalid) | m_processor_v_snoop(c_p0, s6, c_owned))),
% 50.51/33.13 inference(transitivity,[status(thm)],[18484, 18482])).
% 50.51/33.13 tff(18486,plain,
% 50.51/33.13 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s6, c_shared) | m_processor_v_snoop(c_p0, s6, c_owned) | m_processor_v_snoop(c_p0, s6, c_invalid))),
% 50.51/33.13 inference(quant_inst,[status(thm)],[])).
% 50.51/33.13 tff(18487,plain,
% 50.51/33.13 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p0, s6, c_shared) | m_processor_v_snoop(c_p0, s6, c_invalid) | m_processor_v_snoop(c_p0, s6, c_owned)),
% 50.51/33.13 inference(modus_ponens,[status(thm)],[18486, 18485])).
% 50.51/33.13 tff(18488,plain,
% 50.51/33.13 ($false),
% 50.51/33.13 inference(unit_resolution,[status(thm)],[18487, 7213, 18481, 18480, 18479])).
% 50.51/33.13 tff(18489,plain,(m_processor_v_snoop(c_p0, s6, c_invalid) | m_processor_v_snoop(c_p0, s6, c_shared) | m_processor_v_snoop(c_p0, s6, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.13 tff(18490,plain,
% 50.51/33.13 (m_processor_v_snoop(c_p0, s6, c_invalid)),
% 50.51/33.13 inference(unit_resolution,[status(thm)],[18489, 18475, 18478])).
% 50.51/33.13 tff(18491,plain,
% 50.51/33.13 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_cmd(c_p0, s6, c_write_h_invalid) | node62(c_p0, s6) | (~m_processor_v_master(c_p0, s6)) | node63(c_p0, s6) | (~m_processor_v_snoop(c_p0, s6, c_invalid)) | node65(c_p0, s6) | node64(c_p0, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_cmd(c_p0, s6, c_write_h_invalid) | node62(c_p0, s6) | (~m_processor_v_master(c_p0, s6)) | node63(c_p0, s6) | (~m_processor_v_snoop(c_p0, s6, c_invalid)) | node65(c_p0, s6) | node64(c_p0, s6))),
% 50.51/33.13 inference(rewrite,[status(thm)],[])).
% 50.51/33.13 tff(18492,plain,
% 50.51/33.13 ((m_processor_v_cmd(c_p0, s6, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s6, c_invalid)) | (~m_processor_v_state(c_p0, s6, c_owned)) | (~m_processor_v_master(c_p0, s6)) | node62(c_p0, s6) | node63(c_p0, s6) | node64(c_p0, s6) | node65(c_p0, s6)) <=> ((~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_cmd(c_p0, s6, c_write_h_invalid) | node62(c_p0, s6) | (~m_processor_v_master(c_p0, s6)) | node63(c_p0, s6) | (~m_processor_v_snoop(c_p0, s6, c_invalid)) | node65(c_p0, s6) | node64(c_p0, s6))),
% 50.51/33.13 inference(rewrite,[status(thm)],[])).
% 50.51/33.13 tff(18493,plain,
% 50.51/33.13 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p0, s6, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s6, c_invalid)) | (~m_processor_v_state(c_p0, s6, c_owned)) | (~m_processor_v_master(c_p0, s6)) | node62(c_p0, s6) | node63(c_p0, s6) | node64(c_p0, s6) | node65(c_p0, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_cmd(c_p0, s6, c_write_h_invalid) | node62(c_p0, s6) | (~m_processor_v_master(c_p0, s6)) | node63(c_p0, s6) | (~m_processor_v_snoop(c_p0, s6, c_invalid)) | node65(c_p0, s6) | node64(c_p0, s6)))),
% 50.51/33.13 inference(monotonicity,[status(thm)],[18492])).
% 50.51/33.13 tff(18494,plain,
% 50.51/33.13 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p0, s6, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s6, c_invalid)) | (~m_processor_v_state(c_p0, s6, c_owned)) | (~m_processor_v_master(c_p0, s6)) | node62(c_p0, s6) | node63(c_p0, s6) | node64(c_p0, s6) | node65(c_p0, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_cmd(c_p0, s6, c_write_h_invalid) | node62(c_p0, s6) | (~m_processor_v_master(c_p0, s6)) | node63(c_p0, s6) | (~m_processor_v_snoop(c_p0, s6, c_invalid)) | node65(c_p0, s6) | node64(c_p0, s6))),
% 50.51/33.13 inference(transitivity,[status(thm)],[18493, 18491])).
% 50.51/33.13 tff(18495,plain,
% 50.51/33.13 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p0, s6, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s6, c_invalid)) | (~m_processor_v_state(c_p0, s6, c_owned)) | (~m_processor_v_master(c_p0, s6)) | node62(c_p0, s6) | node63(c_p0, s6) | node64(c_p0, s6) | node65(c_p0, s6))),
% 50.51/33.13 inference(quant_inst,[status(thm)],[])).
% 50.51/33.13 tff(18496,plain,
% 50.51/33.13 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_cmd(c_p0, s6, c_write_h_invalid) | node62(c_p0, s6) | (~m_processor_v_master(c_p0, s6)) | node63(c_p0, s6) | (~m_processor_v_snoop(c_p0, s6, c_invalid)) | node65(c_p0, s6) | node64(c_p0, s6)),
% 50.51/33.13 inference(modus_ponens,[status(thm)],[18495, 18494])).
% 50.51/33.13 tff(18497,plain,
% 50.51/33.13 (m_processor_v_cmd(c_p0, s6, c_write_h_invalid) | node62(c_p0, s6) | (~m_processor_v_master(c_p0, s6)) | (~m_processor_v_snoop(c_p0, s6, c_invalid)) | node65(c_p0, s6) | node64(c_p0, s6)),
% 50.51/33.13 inference(unit_resolution,[status(thm)],[18496, 7232, 785, 18467])).
% 50.51/33.13 tff(18498,plain,
% 50.51/33.13 (node65(c_p0, s6)),
% 50.51/33.13 inference(unit_resolution,[status(thm)],[18497, 18490, 2441, 18442, 18476, 18466])).
% 50.51/33.13 tff(18499,plain,
% 50.51/33.13 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p0, s6, c_shared) | (~node65(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p0, s6, c_shared) | (~node65(c_p0, s6)))),
% 50.51/33.13 inference(rewrite,[status(thm)],[])).
% 50.51/33.13 tff(18500,plain,
% 50.51/33.13 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p0, s6, c_shared) | (~node65(c_p0, s6)))),
% 50.51/33.13 inference(quant_inst,[status(thm)],[])).
% 50.51/33.13 tff(18501,plain,
% 50.51/33.13 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p0, s6, c_shared) | (~node65(c_p0, s6))),
% 50.51/33.13 inference(modus_ponens,[status(thm)],[18500, 18499])).
% 50.51/33.13 tff(18502,plain,
% 50.51/33.13 ($false),
% 50.51/33.13 inference(unit_resolution,[status(thm)],[18501, 4107, 18498, 18475])).
% 50.51/33.13 tff(18503,plain,(m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_invalid) | (~m_processor_v_master(c_p0, s6)) | m_processor_v_cmd(c_p0, s6, c_write_h_invalid) | (~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.13 tff(18504,plain,
% 50.51/33.13 (m_processor_v_cmd(c_p0, s6, c_write_h_invalid)),
% 50.51/33.13 inference(unit_resolution,[status(thm)],[18503, 18440, 2441, 785, 18415])).
% 50.51/33.13 tff(18505,assumption,(m_processor_v_cmd(c_p0, s6, c_write_h_invalid)), introduced(assumption)).
% 50.51/33.13 tff(18506,assumption,(~m_main_v_CMD(s6, c_write_h_invalid)), introduced(assumption)).
% 50.51/33.13 tff(18507,plain,
% 50.51/33.13 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s6, c_write_h_invalid) | (~node8(s6)) | (~m_processor_v_cmd(c_p0, s6, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s6, c_write_h_invalid) | (~node8(s6)) | (~m_processor_v_cmd(c_p0, s6, c_write_h_invalid)))),
% 50.51/33.13 inference(rewrite,[status(thm)],[])).
% 50.51/33.13 tff(18508,plain,
% 50.51/33.13 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s6, c_write_h_invalid) | (~node8(s6)) | (~m_processor_v_cmd(c_p0, s6, c_write_h_invalid)))),
% 50.51/33.13 inference(quant_inst,[status(thm)],[])).
% 50.51/33.13 tff(18509,plain,
% 50.51/33.13 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s6, c_write_h_invalid) | (~node8(s6)) | (~m_processor_v_cmd(c_p0, s6, c_write_h_invalid))),
% 50.51/33.13 inference(modus_ponens,[status(thm)],[18508, 18507])).
% 50.51/33.13 tff(18510,plain,
% 50.51/33.13 ($false),
% 50.51/33.13 inference(unit_resolution,[status(thm)],[18509, 1669, 18506, 18505, 14310])).
% 50.51/33.13 tff(18511,plain,(m_main_v_CMD(s6, c_write_h_invalid) | (~m_processor_v_cmd(c_p0, s6, c_write_h_invalid)) | (~node8(s6))), inference(lemma,lemma(discharge,[]))).
% 50.51/33.13 tff(18512,plain,
% 50.51/33.13 (m_main_v_CMD(s6, c_write_h_invalid)),
% 50.51/33.13 inference(unit_resolution,[status(thm)],[18511, 18504, 14310])).
% 50.51/33.13 tff(18513,plain,
% 50.51/33.13 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | (~m_main_v_CMD(s6, c_write_h_invalid)) | (~node2(s6)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | (~m_main_v_CMD(s6, c_write_h_invalid)) | (~node2(s6)))),
% 50.51/33.13 inference(rewrite,[status(thm)],[])).
% 50.51/33.13 tff(18514,plain,
% 50.51/33.13 (((~m_main_v_CMD(s6, c_write_h_invalid)) | (~node2(s6)) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid)) <=> (m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | (~m_main_v_CMD(s6, c_write_h_invalid)) | (~node2(s6)))),
% 50.51/33.13 inference(rewrite,[status(thm)],[])).
% 50.51/33.13 tff(18515,plain,
% 50.51/33.13 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s6, c_write_h_invalid)) | (~node2(s6)) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | (~m_main_v_CMD(s6, c_write_h_invalid)) | (~node2(s6))))),
% 50.51/33.13 inference(monotonicity,[status(thm)],[18514])).
% 50.51/33.14 tff(18516,plain,
% 50.51/33.14 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s6, c_write_h_invalid)) | (~node2(s6)) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | (~m_main_v_CMD(s6, c_write_h_invalid)) | (~node2(s6)))),
% 50.51/33.14 inference(transitivity,[status(thm)],[18515, 18513])).
% 50.51/33.14 tff(18517,plain,
% 50.51/33.14 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s6, c_write_h_invalid)) | (~node2(s6)) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid))),
% 50.51/33.14 inference(quant_inst,[status(thm)],[])).
% 50.51/33.14 tff(18518,plain,
% 50.51/33.14 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s6, c_write_h_invalid) | (~m_main_v_CMD(s6, c_write_h_invalid)) | (~node2(s6))),
% 50.51/33.14 inference(modus_ponens,[status(thm)],[18517, 18516])).
% 50.51/33.14 tff(18519,plain,
% 50.51/33.14 ($false),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[18518, 1228, 14355, 18512, 18414])).
% 50.51/33.14 tff(18520,plain,(m_processor_v_CMD(c_p0, s6, c_read_h_owned) | (~node8(s6)) | (~m_processor_v_master(c_p0, s6)) | (~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_invalid) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_state(c_p0, s7, c_invalid) | m_processor_v_REPLY_h_STALL(c_p0, s6)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.14 tff(18521,plain,
% 50.51/33.14 (m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_invalid)),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[18520, 18408, 2326, 2358, 2439, 785, 18405, 2441, 18410])).
% 50.51/33.14 tff(18522,assumption,(~m_main_v_CMD(s6, c_write_h_resp_h_invalid)), introduced(assumption)).
% 50.51/33.14 tff(18523,assumption,(m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_invalid)), introduced(assumption)).
% 50.51/33.14 tff(18524,plain,
% 50.51/33.14 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s6, c_write_h_resp_h_invalid) | (~node8(s6)) | (~m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s6, c_write_h_resp_h_invalid) | (~node8(s6)) | (~m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_invalid)))),
% 50.51/33.14 inference(rewrite,[status(thm)],[])).
% 50.51/33.14 tff(18525,plain,
% 50.51/33.14 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s6, c_write_h_resp_h_invalid) | (~node8(s6)) | (~m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_invalid)))),
% 50.51/33.14 inference(quant_inst,[status(thm)],[])).
% 50.51/33.14 tff(18526,plain,
% 50.51/33.14 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s6, c_write_h_resp_h_invalid) | (~node8(s6)) | (~m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_invalid))),
% 50.51/33.14 inference(modus_ponens,[status(thm)],[18525, 18524])).
% 50.51/33.14 tff(18527,plain,
% 50.51/33.14 ($false),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[18526, 1669, 18523, 18522, 14310])).
% 50.51/33.14 tff(18528,plain,((~m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_invalid)) | m_main_v_CMD(s6, c_write_h_resp_h_invalid) | (~node8(s6))), inference(lemma,lemma(discharge,[]))).
% 50.51/33.14 tff(18529,plain,
% 50.51/33.14 (m_main_v_CMD(s6, c_write_h_resp_h_invalid)),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[18528, 18521, 18408])).
% 50.51/33.14 tff(18530,assumption,(m_main_v_CMD(s6, c_write_h_resp_h_invalid)), introduced(assumption)).
% 50.51/33.14 tff(18531,plain,
% 50.51/33.14 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s6, c_write_h_resp_h_invalid)) | (~node2(s6)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s6, c_write_h_resp_h_invalid)) | (~node2(s6)))),
% 50.51/33.14 inference(rewrite,[status(thm)],[])).
% 50.51/33.14 tff(18532,plain,
% 50.51/33.14 (((~m_main_v_CMD(s6, c_write_h_resp_h_invalid)) | (~node2(s6)) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)) <=> (m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s6, c_write_h_resp_h_invalid)) | (~node2(s6)))),
% 50.51/33.14 inference(rewrite,[status(thm)],[])).
% 50.51/33.14 tff(18533,plain,
% 50.51/33.14 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s6, c_write_h_resp_h_invalid)) | (~node2(s6)) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s6, c_write_h_resp_h_invalid)) | (~node2(s6))))),
% 50.51/33.14 inference(monotonicity,[status(thm)],[18532])).
% 50.51/33.14 tff(18534,plain,
% 50.51/33.14 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s6, c_write_h_resp_h_invalid)) | (~node2(s6)) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s6, c_write_h_resp_h_invalid)) | (~node2(s6)))),
% 50.51/33.14 inference(transitivity,[status(thm)],[18533, 18531])).
% 50.51/33.14 tff(18535,plain,
% 50.51/33.14 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s6, c_write_h_resp_h_invalid)) | (~node2(s6)) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid))),
% 50.51/33.14 inference(quant_inst,[status(thm)],[])).
% 50.51/33.14 tff(18536,plain,
% 50.51/33.14 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s6, c_write_h_resp_h_invalid)) | (~node2(s6))),
% 50.51/33.14 inference(modus_ponens,[status(thm)],[18535, 18534])).
% 50.51/33.14 tff(18537,plain,
% 50.51/33.14 ($false),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[18536, 1228, 14355, 18530, 2490])).
% 50.51/33.14 tff(18538,plain,((~m_main_v_CMD(s6, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.14 tff(18539,plain,
% 50.51/33.14 (m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[18538, 18529])).
% 50.51/33.14 tff(18540,plain,
% 50.51/33.14 (node34(c_p0, s6, s7)),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[2449, 2441, 14200])).
% 50.51/33.14 tff(18541,plain,
% 50.51/33.14 (m_processor_v_CMD(c_p0, s6, c_write_h_invalid)),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[2530, 438, 2358, 18540, 2439, 18539, 18405])).
% 50.51/33.14 tff(18542,plain,
% 50.51/33.14 ($false),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[2496, 512, 2358, 18540, 2439, 18405, 18541])).
% 50.51/33.14 tff(18543,plain,((~m_processor_v_master(c_p0, s6)) | m_processor_v_state(c_p0, s7, c_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_state(c_p0, s7, c_shared) | (~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_waiting(c_p0, s7) | m_processor_v_abort(c_p0, s6)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.14 tff(18544,plain,
% 50.51/33.14 (~m_processor_v_master(c_p0, s6)),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[18543, 18404, 785, 2326, 2358, 18345, 2541])).
% 50.51/33.14 tff(18545,plain,
% 50.51/33.14 (~node64(c_p0, s6)),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[18455, 1482, 2318])).
% 50.51/33.14 tff(18546,assumption,(~m_processor_v_cmd(c_p0, s6, c_idle)), introduced(assumption)).
% 50.51/33.14 tff(18547,plain,
% 50.51/33.14 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p0, s6) | (~node62(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p0, s6) | (~node62(c_p0, s6)))),
% 50.51/33.14 inference(rewrite,[status(thm)],[])).
% 50.51/33.14 tff(18548,plain,
% 50.51/33.14 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | (m_processor_v_master(c_p0, s6) | (~node62(c_p0, s6)))),
% 50.51/33.14 inference(quant_inst,[status(thm)],[])).
% 50.51/33.14 tff(18549,plain,
% 50.51/33.14 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node62(I0, X)))) | m_processor_v_master(c_p0, s6) | (~node62(c_p0, s6))),
% 50.51/33.14 inference(modus_ponens,[status(thm)],[18548, 18547])).
% 50.51/33.14 tff(18550,plain,
% 50.51/33.14 (~node62(c_p0, s6)),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[18549, 1493, 2318])).
% 50.51/33.14 tff(18551,plain,
% 50.51/33.14 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p0, s6) | (~node63(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p0, s6) | (~node63(c_p0, s6)))),
% 50.51/33.14 inference(rewrite,[status(thm)],[])).
% 50.51/33.14 tff(18552,plain,
% 50.51/33.14 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | (m_processor_v_master(c_p0, s6) | (~node63(c_p0, s6)))),
% 50.51/33.14 inference(quant_inst,[status(thm)],[])).
% 50.51/33.14 tff(18553,plain,
% 50.51/33.14 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node63(I0, X)))) | m_processor_v_master(c_p0, s6) | (~node63(c_p0, s6))),
% 50.51/33.14 inference(modus_ponens,[status(thm)],[18552, 18551])).
% 50.51/33.14 tff(18554,plain,
% 50.51/33.14 (~node63(c_p0, s6)),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[18553, 1469, 2318])).
% 50.51/33.14 tff(18555,plain,
% 50.51/33.14 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p0, s6) | (~node66(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p0, s6) | (~node66(c_p0, s6)))),
% 50.51/33.14 inference(rewrite,[status(thm)],[])).
% 50.51/33.14 tff(18556,plain,
% 50.51/33.14 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | (m_processor_v_master(c_p0, s6) | (~node66(c_p0, s6)))),
% 50.51/33.14 inference(quant_inst,[status(thm)],[])).
% 50.51/33.14 tff(18557,plain,
% 50.51/33.14 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node66(I0, X)))) | m_processor_v_master(c_p0, s6) | (~node66(c_p0, s6))),
% 50.51/33.14 inference(modus_ponens,[status(thm)],[18556, 18555])).
% 50.51/33.14 tff(18558,plain,
% 50.51/33.14 (~node66(c_p0, s6)),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[18557, 1446, 2318])).
% 50.51/33.14 tff(18559,plain,
% 50.51/33.14 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p0, s6) | (~node65(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p0, s6) | (~node65(c_p0, s6)))),
% 50.51/33.14 inference(rewrite,[status(thm)],[])).
% 50.51/33.14 tff(18560,plain,
% 50.51/33.14 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | (m_processor_v_master(c_p0, s6) | (~node65(c_p0, s6)))),
% 50.51/33.14 inference(quant_inst,[status(thm)],[])).
% 50.51/33.14 tff(18561,plain,
% 50.51/33.14 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node65(I0, X)))) | m_processor_v_master(c_p0, s6) | (~node65(c_p0, s6))),
% 50.51/33.14 inference(modus_ponens,[status(thm)],[18560, 18559])).
% 50.51/33.14 tff(18562,plain,
% 50.51/33.14 (~node65(c_p0, s6)),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[18561, 1457, 2318])).
% 50.51/33.14 tff(18563,assumption,(~node66(c_p0, s6)), introduced(assumption)).
% 50.51/33.14 tff(18564,assumption,(~node63(c_p0, s6)), introduced(assumption)).
% 50.51/33.14 tff(18565,assumption,(~node62(c_p0, s6)), introduced(assumption)).
% 50.51/33.14 tff(18566,assumption,(~node65(c_p0, s6)), introduced(assumption)).
% 50.51/33.14 tff(18567,assumption,(~node64(c_p0, s6)), introduced(assumption)).
% 50.51/33.14 tff(18568,plain,
% 50.51/33.14 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node62(c_p0, s6) | node63(c_p0, s6) | node65(c_p0, s6) | node64(c_p0, s6) | m_processor_v_cmd(c_p0, s6, c_idle) | node66(c_p0, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p0, s6) | node63(c_p0, s6) | node65(c_p0, s6) | node64(c_p0, s6) | m_processor_v_cmd(c_p0, s6, c_idle) | node66(c_p0, s6))),
% 50.51/33.14 inference(rewrite,[status(thm)],[])).
% 50.51/33.14 tff(18569,plain,
% 50.51/33.14 ((m_processor_v_cmd(c_p0, s6, c_idle) | node62(c_p0, s6) | node63(c_p0, s6) | node64(c_p0, s6) | node65(c_p0, s6) | node66(c_p0, s6)) <=> (node62(c_p0, s6) | node63(c_p0, s6) | node65(c_p0, s6) | node64(c_p0, s6) | m_processor_v_cmd(c_p0, s6, c_idle) | node66(c_p0, s6))),
% 50.51/33.14 inference(rewrite,[status(thm)],[])).
% 50.51/33.14 tff(18570,plain,
% 50.51/33.14 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s6, c_idle) | node62(c_p0, s6) | node63(c_p0, s6) | node64(c_p0, s6) | node65(c_p0, s6) | node66(c_p0, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (node62(c_p0, s6) | node63(c_p0, s6) | node65(c_p0, s6) | node64(c_p0, s6) | m_processor_v_cmd(c_p0, s6, c_idle) | node66(c_p0, s6)))),
% 50.51/33.14 inference(monotonicity,[status(thm)],[18569])).
% 50.51/33.14 tff(18571,plain,
% 50.51/33.14 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s6, c_idle) | node62(c_p0, s6) | node63(c_p0, s6) | node64(c_p0, s6) | node65(c_p0, s6) | node66(c_p0, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p0, s6) | node63(c_p0, s6) | node65(c_p0, s6) | node64(c_p0, s6) | m_processor_v_cmd(c_p0, s6, c_idle) | node66(c_p0, s6))),
% 50.51/33.14 inference(transitivity,[status(thm)],[18570, 18568])).
% 50.51/33.14 tff(18572,plain,
% 50.51/33.14 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | (m_processor_v_cmd(c_p0, s6, c_idle) | node62(c_p0, s6) | node63(c_p0, s6) | node64(c_p0, s6) | node65(c_p0, s6) | node66(c_p0, s6))),
% 50.51/33.14 inference(quant_inst,[status(thm)],[])).
% 50.51/33.14 tff(18573,plain,
% 50.51/33.14 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_idle) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X) | node66(I0, X))) | node62(c_p0, s6) | node63(c_p0, s6) | node65(c_p0, s6) | node64(c_p0, s6) | m_processor_v_cmd(c_p0, s6, c_idle) | node66(c_p0, s6)),
% 50.51/33.14 inference(modus_ponens,[status(thm)],[18572, 18571])).
% 50.51/33.14 tff(18574,plain,
% 50.51/33.14 ($false),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[18573, 1508, 18567, 18546, 18566, 18565, 18564, 18563])).
% 50.51/33.14 tff(18575,plain,(m_processor_v_cmd(c_p0, s6, c_idle) | node64(c_p0, s6) | node65(c_p0, s6) | node62(c_p0, s6) | node63(c_p0, s6) | node66(c_p0, s6)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.14 tff(18576,plain,
% 50.51/33.14 ($false),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[18575, 18562, 18558, 18554, 18550, 18546, 18545])).
% 50.51/33.14 tff(18577,plain,(m_processor_v_master(c_p0, s6) | m_processor_v_cmd(c_p0, s6, c_idle)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.14 tff(18578,plain,
% 50.51/33.14 (m_processor_v_cmd(c_p0, s6, c_idle)),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[18577, 18544])).
% 50.51/33.14 tff(18579,assumption,(~m_main_v_CMD(s6, c_idle)), introduced(assumption)).
% 50.51/33.14 tff(18580,assumption,(~node14(s6)), introduced(assumption)).
% 50.51/33.14 tff(18581,assumption,(m_processor_v_cmd(c_p2, s6, c_idle)), introduced(assumption)).
% 50.51/33.14 tff(18582,plain,
% 50.51/33.14 (~m_memory_v_cmd(c_m, s6, c_idle)),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[14277, 14210, 18581])).
% 50.51/33.14 tff(18583,plain,
% 50.51/33.14 (((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | ((~node9(s6)) | m_memory_v_cmd(c_m, s6, c_idle))) <=> ((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | (~node9(s6)) | m_memory_v_cmd(c_m, s6, c_idle))),
% 50.51/33.14 inference(rewrite,[status(thm)],[])).
% 50.51/33.14 tff(18584,plain,
% 50.51/33.14 ((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | ((~node9(s6)) | m_memory_v_cmd(c_m, s6, c_idle))),
% 50.51/33.14 inference(quant_inst,[status(thm)],[])).
% 50.51/33.14 tff(18585,plain,
% 50.51/33.14 ((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | (~node9(s6)) | m_memory_v_cmd(c_m, s6, c_idle)),
% 50.51/33.14 inference(modus_ponens,[status(thm)],[18584, 18583])).
% 50.51/33.14 tff(18586,plain,
% 50.51/33.14 (~node9(s6)),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[18585, 2000, 18582])).
% 50.51/33.14 tff(18587,plain,
% 50.51/33.14 (~m_processor_v_master(c_p0, s6)),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[14307, 14210, 14207])).
% 50.51/33.14 tff(18588,plain,
% 50.51/33.14 (m_processor_v_cmd(c_p0, s6, c_idle)),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[18577, 18587])).
% 50.51/33.14 tff(18589,plain,
% 50.51/33.14 (((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | (m_memory_v_cmd(c_m, s6, c_idle) | (~node13(s6)))) <=> ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | m_memory_v_cmd(c_m, s6, c_idle) | (~node13(s6)))),
% 50.51/33.14 inference(rewrite,[status(thm)],[])).
% 50.51/33.14 tff(18590,plain,
% 50.51/33.14 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | (m_memory_v_cmd(c_m, s6, c_idle) | (~node13(s6)))),
% 50.51/33.14 inference(quant_inst,[status(thm)],[])).
% 50.51/33.14 tff(18591,plain,
% 50.51/33.14 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | m_memory_v_cmd(c_m, s6, c_idle) | (~node13(s6))),
% 50.51/33.14 inference(modus_ponens,[status(thm)],[18590, 18589])).
% 50.51/33.14 tff(18592,plain,
% 50.51/33.14 (~node13(s6)),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[18591, 1986, 18582])).
% 50.51/33.14 tff(18593,plain,
% 50.51/33.14 (((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | (m_memory_v_cmd(c_m, s6, c_idle) | (~node11(s6)))) <=> ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | m_memory_v_cmd(c_m, s6, c_idle) | (~node11(s6)))),
% 50.51/33.14 inference(rewrite,[status(thm)],[])).
% 50.51/33.14 tff(18594,plain,
% 50.51/33.14 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | (m_memory_v_cmd(c_m, s6, c_idle) | (~node11(s6)))),
% 50.51/33.14 inference(quant_inst,[status(thm)],[])).
% 50.51/33.14 tff(18595,plain,
% 50.51/33.14 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | m_memory_v_cmd(c_m, s6, c_idle) | (~node11(s6))),
% 50.51/33.14 inference(modus_ponens,[status(thm)],[18594, 18593])).
% 50.51/33.14 tff(18596,plain,
% 50.51/33.14 (~node11(s6)),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[18595, 2031, 18582])).
% 50.51/33.14 tff(18597,plain,
% 50.51/33.14 (((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node11(s6) | node9(s6) | node14(s6) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | node13(s6) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node11(s6) | node9(s6) | node14(s6) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | node13(s6) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle)))),
% 50.51/33.14 inference(rewrite,[status(thm)],[])).
% 50.51/33.14 tff(18598,plain,
% 50.51/33.14 ((node9(s6) | node11(s6) | node13(s6) | node14(s6) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle))) <=> (node11(s6) | node9(s6) | node14(s6) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | node13(s6) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle)))),
% 50.51/33.14 inference(rewrite,[status(thm)],[])).
% 50.51/33.14 tff(18599,plain,
% 50.51/33.14 (((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s6) | node11(s6) | node13(s6) | node14(s6) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node11(s6) | node9(s6) | node14(s6) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | node13(s6) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle))))),
% 50.51/33.14 inference(monotonicity,[status(thm)],[18598])).
% 50.51/33.14 tff(18600,plain,
% 50.51/33.14 (((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s6) | node11(s6) | node13(s6) | node14(s6) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node11(s6) | node9(s6) | node14(s6) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | node13(s6) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle)))),
% 50.51/33.14 inference(transitivity,[status(thm)],[18599, 18597])).
% 50.51/33.14 tff(18601,plain,
% 50.51/33.14 ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s6) | node11(s6) | node13(s6) | node14(s6) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle)))),
% 50.51/33.14 inference(quant_inst,[status(thm)],[])).
% 50.51/33.14 tff(18602,plain,
% 50.51/33.14 ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node11(s6) | node9(s6) | node14(s6) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | node13(s6) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle))),
% 50.51/33.14 inference(modus_ponens,[status(thm)],[18601, 18600])).
% 50.51/33.14 tff(18603,plain,
% 50.51/33.14 (node11(s6) | node9(s6) | node14(s6) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | node13(s6) | (~m_processor_v_cmd(c_p0, s6, c_idle))),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[18602, 2014, 14207])).
% 50.51/33.14 tff(18604,plain,
% 50.51/33.14 ($false),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[18603, 18596, 18592, 18580, 18581, 18588, 18586])).
% 50.51/33.14 tff(18605,plain,(node8(s6) | node14(s6) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.51/33.14 tff(18606,plain,
% 50.51/33.14 (~m_processor_v_cmd(c_p2, s6, c_idle)),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[18605, 14210, 14207, 18580])).
% 50.51/33.14 tff(18607,plain,
% 50.51/33.14 (~node62(c_p2, s6)),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[14232, 14226])).
% 50.51/33.14 tff(18608,plain,
% 50.51/33.14 ($false),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[14269, 18607, 14226, 14234])).
% 50.51/33.14 tff(18609,plain,(m_processor_v_master(c_p2, s6) | m_processor_v_cmd(c_p2, s6, c_idle)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.14 tff(18610,plain,
% 50.51/33.14 (m_processor_v_master(c_p2, s6)),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[18609, 18606])).
% 50.51/33.14 tff(18611,assumption,(node17(s6)), introduced(assumption)).
% 50.51/33.14 tff(18612,plain,
% 50.51/33.14 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~node17(s6)) | (~m_processor_v_master(c_p2, s6)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s6)) | (~m_processor_v_master(c_p2, s6)))),
% 50.51/33.14 inference(rewrite,[status(thm)],[])).
% 50.51/33.14 tff(18613,plain,
% 50.51/33.14 (((~m_processor_v_master(c_p2, s6)) | (~node17(s6))) <=> ((~node17(s6)) | (~m_processor_v_master(c_p2, s6)))),
% 50.51/33.14 inference(rewrite,[status(thm)],[])).
% 50.51/33.14 tff(18614,plain,
% 50.51/33.14 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s6)) | (~node17(s6)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~node17(s6)) | (~m_processor_v_master(c_p2, s6))))),
% 50.51/33.14 inference(monotonicity,[status(thm)],[18613])).
% 50.51/33.14 tff(18615,plain,
% 50.51/33.14 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s6)) | (~node17(s6)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s6)) | (~m_processor_v_master(c_p2, s6)))),
% 50.51/33.14 inference(transitivity,[status(thm)],[18614, 18612])).
% 50.51/33.14 tff(18616,plain,
% 50.51/33.14 ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s6)) | (~node17(s6)))),
% 50.51/33.14 inference(quant_inst,[status(thm)],[])).
% 50.51/33.14 tff(18617,plain,
% 50.51/33.14 ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s6)) | (~m_processor_v_master(c_p2, s6))),
% 50.51/33.14 inference(modus_ponens,[status(thm)],[18616, 18615])).
% 50.51/33.14 tff(18618,plain,
% 50.51/33.14 ($false),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[18617, 2106, 14219, 18611])).
% 50.51/33.14 tff(18619,plain,((~node17(s6)) | (~m_processor_v_master(c_p2, s6))), inference(lemma,lemma(discharge,[]))).
% 50.51/33.14 tff(18620,plain,
% 50.51/33.14 (~node17(s6)),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[18619, 18610])).
% 50.51/33.14 tff(18621,plain,
% 50.51/33.14 (~m_memory_v_master(c_m, s6)),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[14301, 18620])).
% 50.51/33.14 tff(18622,plain,
% 50.51/33.14 (~node29(c_m, s6)),
% 50.51/33.14 inference(unit_resolution,[status(thm)],[14293, 18621])).
% 50.51/33.14 tff(18623,plain,
% 50.51/33.14 (m_memory_v_cmd(c_m, s6, c_idle)),
% 50.51/33.15 inference(unit_resolution,[status(thm)],[14285, 18622])).
% 50.51/33.15 tff(18624,plain,
% 50.51/33.15 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | ((~m_processor_v_cmd(c_p0, s6, c_idle)) | m_main_v_CMD(s6, c_idle) | (~node12(s6)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (~m_processor_v_cmd(c_p0, s6, c_idle)) | m_main_v_CMD(s6, c_idle) | (~node12(s6)))),
% 50.51/33.15 inference(rewrite,[status(thm)],[])).
% 50.51/33.15 tff(18625,plain,
% 50.51/33.15 ((m_main_v_CMD(s6, c_idle) | (~m_processor_v_cmd(c_p0, s6, c_idle)) | (~node12(s6))) <=> ((~m_processor_v_cmd(c_p0, s6, c_idle)) | m_main_v_CMD(s6, c_idle) | (~node12(s6)))),
% 50.51/33.15 inference(rewrite,[status(thm)],[])).
% 50.51/33.15 tff(18626,plain,
% 50.51/33.15 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s6, c_idle) | (~m_processor_v_cmd(c_p0, s6, c_idle)) | (~node12(s6)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | ((~m_processor_v_cmd(c_p0, s6, c_idle)) | m_main_v_CMD(s6, c_idle) | (~node12(s6))))),
% 50.51/33.15 inference(monotonicity,[status(thm)],[18625])).
% 50.51/33.15 tff(18627,plain,
% 50.51/33.15 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s6, c_idle) | (~m_processor_v_cmd(c_p0, s6, c_idle)) | (~node12(s6)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (~m_processor_v_cmd(c_p0, s6, c_idle)) | m_main_v_CMD(s6, c_idle) | (~node12(s6)))),
% 50.51/33.15 inference(transitivity,[status(thm)],[18626, 18624])).
% 50.51/33.15 tff(18628,plain,
% 50.51/33.15 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s6, c_idle) | (~m_processor_v_cmd(c_p0, s6, c_idle)) | (~node12(s6)))),
% 50.51/33.15 inference(quant_inst,[status(thm)],[])).
% 50.51/33.15 tff(18629,plain,
% 50.51/33.15 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (~m_processor_v_cmd(c_p0, s6, c_idle)) | m_main_v_CMD(s6, c_idle) | (~node12(s6))),
% 50.51/33.15 inference(modus_ponens,[status(thm)],[18628, 18627])).
% 50.51/33.15 tff(18630,plain,
% 50.51/33.15 ((~m_processor_v_cmd(c_p0, s6, c_idle)) | (~node12(s6))),
% 50.51/33.15 inference(unit_resolution,[status(thm)],[18629, 2128, 18579])).
% 50.51/33.15 tff(18631,plain,
% 50.51/33.15 (~node12(s6)),
% 50.51/33.15 inference(unit_resolution,[status(thm)],[18630, 18588])).
% 50.51/33.15 tff(18632,plain,
% 50.51/33.15 (((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | ((~node9(s6)) | m_processor_v_cmd(c_p2, s6, c_idle))) <=> ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | (~node9(s6)) | m_processor_v_cmd(c_p2, s6, c_idle))),
% 50.51/33.15 inference(rewrite,[status(thm)],[])).
% 50.51/33.15 tff(18633,plain,
% 50.51/33.15 ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | ((~node9(s6)) | m_processor_v_cmd(c_p2, s6, c_idle))),
% 50.51/33.15 inference(quant_inst,[status(thm)],[])).
% 50.51/33.15 tff(18634,plain,
% 50.51/33.15 ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | (~node9(s6)) | m_processor_v_cmd(c_p2, s6, c_idle)),
% 50.51/33.15 inference(modus_ponens,[status(thm)],[18633, 18632])).
% 50.51/33.15 tff(18635,plain,
% 50.51/33.15 (~node9(s6)),
% 50.51/33.15 inference(unit_resolution,[status(thm)],[18634, 2146, 18606])).
% 50.51/33.15 tff(18636,plain,
% 50.51/33.15 (((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (m_processor_v_cmd(c_p2, s6, c_idle) | (~node11(s6)))) <=> ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | m_processor_v_cmd(c_p2, s6, c_idle) | (~node11(s6)))),
% 50.51/33.15 inference(rewrite,[status(thm)],[])).
% 50.51/33.15 tff(18637,plain,
% 50.51/33.15 ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (m_processor_v_cmd(c_p2, s6, c_idle) | (~node11(s6)))),
% 50.51/33.15 inference(quant_inst,[status(thm)],[])).
% 50.51/33.15 tff(18638,plain,
% 50.51/33.15 ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | m_processor_v_cmd(c_p2, s6, c_idle) | (~node11(s6))),
% 50.51/33.15 inference(modus_ponens,[status(thm)],[18637, 18636])).
% 50.51/33.15 tff(18639,plain,
% 50.51/33.15 (~node11(s6)),
% 50.51/33.15 inference(unit_resolution,[status(thm)],[18638, 2157, 18606])).
% 50.51/33.15 tff(18640,plain,
% 50.51/33.15 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node11(s6) | node9(s6) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | node12(s6))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node11(s6) | node9(s6) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | node12(s6))),
% 50.51/33.15 inference(rewrite,[status(thm)],[])).
% 50.51/33.15 tff(18641,plain,
% 50.51/33.15 ((node9(s6) | node11(s6) | node12(s6) | (~m_memory_v_cmd(c_m, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle))) <=> (node11(s6) | node9(s6) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | node12(s6))),
% 50.51/33.15 inference(rewrite,[status(thm)],[])).
% 50.51/33.15 tff(18642,plain,
% 50.51/33.15 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s6) | node11(s6) | node12(s6) | (~m_memory_v_cmd(c_m, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node11(s6) | node9(s6) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | node12(s6)))),
% 50.51/33.15 inference(monotonicity,[status(thm)],[18641])).
% 50.51/33.15 tff(18643,plain,
% 50.51/33.15 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s6) | node11(s6) | node12(s6) | (~m_memory_v_cmd(c_m, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node11(s6) | node9(s6) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | node12(s6))),
% 50.51/33.15 inference(transitivity,[status(thm)],[18642, 18640])).
% 50.51/33.15 tff(18644,plain,
% 50.51/33.15 ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s6) | node11(s6) | node12(s6) | (~m_memory_v_cmd(c_m, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle)))),
% 50.51/33.15 inference(quant_inst,[status(thm)],[])).
% 50.51/33.15 tff(18645,plain,
% 50.51/33.15 ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node11(s6) | node9(s6) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | node12(s6)),
% 50.51/33.15 inference(modus_ponens,[status(thm)],[18644, 18643])).
% 50.51/33.15 tff(18646,plain,
% 50.51/33.15 (node11(s6) | node9(s6) | (~m_processor_v_cmd(c_p0, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | node12(s6)),
% 50.51/33.15 inference(unit_resolution,[status(thm)],[18645, 2171, 14207])).
% 50.51/33.15 tff(18647,plain,
% 50.51/33.15 ($false),
% 50.51/33.15 inference(unit_resolution,[status(thm)],[18646, 18639, 18635, 18588, 18631, 18623])).
% 50.51/33.15 tff(18648,plain,(node8(s6) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | m_main_v_CMD(s6, c_idle) | node14(s6)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.15 tff(18649,plain,
% 50.51/33.15 (node14(s6)),
% 50.51/33.15 inference(unit_resolution,[status(thm)],[18648, 18579, 14207, 14210])).
% 50.51/33.15 tff(18650,plain,
% 50.51/33.15 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | ((~m_memory_v_cmd(c_m, s6, c_idle)) | m_main_v_CMD(s6, c_idle) | (~node14(s6)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (~m_memory_v_cmd(c_m, s6, c_idle)) | m_main_v_CMD(s6, c_idle) | (~node14(s6)))),
% 50.51/33.15 inference(rewrite,[status(thm)],[])).
% 50.51/33.15 tff(18651,plain,
% 50.51/33.15 ((m_main_v_CMD(s6, c_idle) | (~node14(s6)) | (~m_memory_v_cmd(c_m, s6, c_idle))) <=> ((~m_memory_v_cmd(c_m, s6, c_idle)) | m_main_v_CMD(s6, c_idle) | (~node14(s6)))),
% 50.51/33.15 inference(rewrite,[status(thm)],[])).
% 50.51/33.15 tff(18652,plain,
% 50.51/33.15 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s6, c_idle) | (~node14(s6)) | (~m_memory_v_cmd(c_m, s6, c_idle)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | ((~m_memory_v_cmd(c_m, s6, c_idle)) | m_main_v_CMD(s6, c_idle) | (~node14(s6))))),
% 50.51/33.15 inference(monotonicity,[status(thm)],[18651])).
% 50.51/33.15 tff(18653,plain,
% 50.51/33.15 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s6, c_idle) | (~node14(s6)) | (~m_memory_v_cmd(c_m, s6, c_idle)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (~m_memory_v_cmd(c_m, s6, c_idle)) | m_main_v_CMD(s6, c_idle) | (~node14(s6)))),
% 50.51/33.15 inference(transitivity,[status(thm)],[18652, 18650])).
% 50.51/33.15 tff(18654,plain,
% 50.51/33.15 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s6, c_idle) | (~node14(s6)) | (~m_memory_v_cmd(c_m, s6, c_idle)))),
% 50.51/33.15 inference(quant_inst,[status(thm)],[])).
% 50.51/33.15 tff(18655,plain,
% 50.51/33.15 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (~m_memory_v_cmd(c_m, s6, c_idle)) | m_main_v_CMD(s6, c_idle) | (~node14(s6))),
% 50.51/33.15 inference(modus_ponens,[status(thm)],[18654, 18653])).
% 50.51/33.15 tff(18656,plain,
% 50.51/33.15 ($false),
% 50.51/33.15 inference(unit_resolution,[status(thm)],[18655, 8342, 18317, 18649, 18579])).
% 50.51/33.15 tff(18657,plain,(m_main_v_CMD(s6, c_idle) | (~m_memory_v_cmd(c_m, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | node8(s6)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.15 tff(18658,plain,
% 50.51/33.15 (node8(s6)),
% 50.51/33.15 inference(unit_resolution,[status(thm)],[18657, 18579, 14207, 18317])).
% 50.51/33.15 tff(18659,assumption,(m_processor_v_cmd(c_p0, s6, c_idle)), introduced(assumption)).
% 50.51/33.15 tff(18660,plain,
% 50.51/33.15 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~m_processor_v_cmd(c_p0, s6, c_idle)) | m_main_v_CMD(s6, c_idle) | (~node8(s6)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s6, c_idle)) | m_main_v_CMD(s6, c_idle) | (~node8(s6)))),
% 50.51/33.15 inference(rewrite,[status(thm)],[])).
% 50.51/33.15 tff(18661,plain,
% 50.51/33.15 ((m_main_v_CMD(s6, c_idle) | (~node8(s6)) | (~m_processor_v_cmd(c_p0, s6, c_idle))) <=> ((~m_processor_v_cmd(c_p0, s6, c_idle)) | m_main_v_CMD(s6, c_idle) | (~node8(s6)))),
% 50.51/33.15 inference(rewrite,[status(thm)],[])).
% 50.51/33.15 tff(18662,plain,
% 50.51/33.15 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s6, c_idle) | (~node8(s6)) | (~m_processor_v_cmd(c_p0, s6, c_idle)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~m_processor_v_cmd(c_p0, s6, c_idle)) | m_main_v_CMD(s6, c_idle) | (~node8(s6))))),
% 50.51/33.15 inference(monotonicity,[status(thm)],[18661])).
% 50.51/33.15 tff(18663,plain,
% 50.51/33.15 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s6, c_idle) | (~node8(s6)) | (~m_processor_v_cmd(c_p0, s6, c_idle)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s6, c_idle)) | m_main_v_CMD(s6, c_idle) | (~node8(s6)))),
% 50.51/33.15 inference(transitivity,[status(thm)],[18662, 18660])).
% 50.51/33.15 tff(18664,plain,
% 50.51/33.15 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s6, c_idle) | (~node8(s6)) | (~m_processor_v_cmd(c_p0, s6, c_idle)))),
% 50.51/33.15 inference(quant_inst,[status(thm)],[])).
% 50.51/33.15 tff(18665,plain,
% 50.51/33.15 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~m_processor_v_cmd(c_p0, s6, c_idle)) | m_main_v_CMD(s6, c_idle) | (~node8(s6))),
% 50.51/33.15 inference(modus_ponens,[status(thm)],[18664, 18663])).
% 50.51/33.15 tff(18666,plain,
% 50.51/33.15 (m_main_v_CMD(s6, c_idle) | (~node8(s6))),
% 50.51/33.15 inference(unit_resolution,[status(thm)],[18665, 1669, 18659])).
% 50.51/33.15 tff(18667,plain,
% 50.51/33.15 ($false),
% 50.51/33.15 inference(unit_resolution,[status(thm)],[18666, 18658, 18579])).
% 50.51/33.15 tff(18668,plain,(m_main_v_CMD(s6, c_idle) | (~m_processor_v_cmd(c_p0, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.51/33.15 tff(18669,plain,
% 50.51/33.15 (m_main_v_CMD(s6, c_idle)),
% 50.51/33.15 inference(unit_resolution,[status(thm)],[18668, 18578, 14207, 18317])).
% 50.51/33.15 tff(18670,plain,
% 50.51/33.15 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s6, c_idle)) | (~m_main_v_CMD(s6, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s6, c_idle)) | (~m_main_v_CMD(s6, c_response)))),
% 50.51/33.15 inference(rewrite,[status(thm)],[])).
% 50.51/33.15 tff(18671,plain,
% 50.51/33.15 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s6, c_idle)) | (~m_main_v_CMD(s6, c_response)))),
% 50.51/33.15 inference(quant_inst,[status(thm)],[])).
% 50.51/33.15 tff(18672,plain,
% 50.51/33.15 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s6, c_idle)) | (~m_main_v_CMD(s6, c_response))),
% 50.51/33.15 inference(modus_ponens,[status(thm)],[18671, 18670])).
% 50.51/33.15 tff(18673,plain,
% 50.51/33.15 (~m_main_v_CMD(s6, c_response)),
% 50.51/33.15 inference(unit_resolution,[status(thm)],[18672, 10097, 18669])).
% 50.51/33.15 tff(18674,plain,
% 50.51/33.15 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s6, c_response) | (~node3(s6)) | (~m_processor_v_CMD(c_p1, s6, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s6, c_response) | (~node3(s6)) | (~m_processor_v_CMD(c_p1, s6, c_response)))),
% 50.51/33.15 inference(rewrite,[status(thm)],[])).
% 50.51/33.15 tff(18675,plain,
% 50.51/33.15 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s6, c_response) | (~node3(s6)) | (~m_processor_v_CMD(c_p1, s6, c_response)))),
% 50.51/33.15 inference(quant_inst,[status(thm)],[])).
% 50.51/33.15 tff(18676,plain,
% 50.51/33.15 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s6, c_response) | (~node3(s6)) | (~m_processor_v_CMD(c_p1, s6, c_response))),
% 50.51/33.15 inference(modus_ponens,[status(thm)],[18675, 18674])).
% 50.51/33.15 tff(18677,plain,
% 50.51/33.15 (~m_processor_v_CMD(c_p1, s6, c_response)),
% 50.51/33.15 inference(unit_resolution,[status(thm)],[18676, 1260, 16246, 18673])).
% 50.51/33.15 tff(18678,plain,
% 50.51/33.15 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s6, c_idle)) | (~m_main_v_CMD(s6, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s6, c_idle)) | (~m_main_v_CMD(s6, c_write_h_resp_h_shared)))),
% 50.51/33.15 inference(rewrite,[status(thm)],[])).
% 50.51/33.15 tff(18679,plain,
% 50.51/33.15 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s6, c_idle)) | (~m_main_v_CMD(s6, c_write_h_resp_h_shared)))),
% 50.51/33.15 inference(quant_inst,[status(thm)],[])).
% 50.51/33.15 tff(18680,plain,
% 50.51/33.15 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s6, c_idle)) | (~m_main_v_CMD(s6, c_write_h_resp_h_shared))),
% 50.51/33.15 inference(modus_ponens,[status(thm)],[18679, 18678])).
% 50.51/33.15 tff(18681,plain,
% 50.51/33.15 (~m_main_v_CMD(s6, c_write_h_resp_h_shared)),
% 50.51/33.15 inference(unit_resolution,[status(thm)],[18680, 7650, 18669])).
% 50.51/33.15 tff(18682,assumption,(m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.51/33.15 tff(18683,plain,
% 50.51/33.15 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s6, c_write_h_resp_h_shared) | (~node3(s6)) | (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s6, c_write_h_resp_h_shared) | (~node3(s6)) | (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared)))),
% 50.51/33.15 inference(rewrite,[status(thm)],[])).
% 50.51/33.15 tff(18684,plain,
% 50.51/33.15 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s6, c_write_h_resp_h_shared) | (~node3(s6)) | (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared)))),
% 50.51/33.15 inference(quant_inst,[status(thm)],[])).
% 50.51/33.15 tff(18685,plain,
% 50.51/33.15 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s6, c_write_h_resp_h_shared) | (~node3(s6)) | (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared))),
% 50.51/33.15 inference(modus_ponens,[status(thm)],[18684, 18683])).
% 50.51/33.15 tff(18686,plain,
% 50.51/33.15 ($false),
% 50.51/33.15 inference(unit_resolution,[status(thm)],[18685, 1260, 16246, 18434, 18682])).
% 50.51/33.15 tff(18687,plain,((~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared)) | m_main_v_CMD(s6, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.15 tff(18688,plain,
% 50.51/33.15 (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared)),
% 50.51/33.15 inference(unit_resolution,[status(thm)],[18687, 18681])).
% 50.51/33.15 tff(18689,assumption,(node51(c_p1, s6)), introduced(assumption)).
% 50.51/33.15 tff(18690,assumption,(~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.51/33.15 tff(18691,plain,
% 50.51/33.15 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared) | (~node51(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared) | (~node51(c_p1, s6)))),
% 50.51/33.15 inference(rewrite,[status(thm)],[])).
% 50.51/33.15 tff(18692,plain,
% 50.51/33.15 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared) | (~node51(c_p1, s6)))),
% 50.51/33.15 inference(quant_inst,[status(thm)],[])).
% 50.51/33.15 tff(18693,plain,
% 50.51/33.15 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared) | (~node51(c_p1, s6))),
% 50.51/33.15 inference(modus_ponens,[status(thm)],[18692, 18691])).
% 50.51/33.15 tff(18694,plain,
% 50.51/33.15 ($false),
% 50.51/33.15 inference(unit_resolution,[status(thm)],[18693, 11549, 18690, 18689])).
% 50.51/33.15 tff(18695,plain,((~node51(c_p1, s6)) | m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.15 tff(18696,plain,
% 50.51/33.15 (~node51(c_p1, s6)),
% 50.51/33.15 inference(unit_resolution,[status(thm)],[18695, 18688])).
% 50.51/33.15 tff(18697,assumption,(~node52(c_p1, s6, s7)), introduced(assumption)).
% 50.51/33.15 tff(18698,assumption,(~node48(c_p1, s6)), introduced(assumption)).
% 50.51/33.15 tff(18699,assumption,(~node47(c_p1, s6)), introduced(assumption)).
% 50.51/33.15 tff(18700,plain,
% 50.51/33.15 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s6, c_idle)) | (~m_main_v_CMD(s6, c_write_h_resp_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s6, c_idle)) | (~m_main_v_CMD(s6, c_write_h_resp_h_invalid)))),
% 50.51/33.15 inference(rewrite,[status(thm)],[])).
% 50.51/33.15 tff(18701,plain,
% 50.51/33.15 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s6, c_idle)) | (~m_main_v_CMD(s6, c_write_h_resp_h_invalid)))),
% 50.51/33.15 inference(quant_inst,[status(thm)],[])).
% 50.51/33.15 tff(18702,plain,
% 50.51/33.15 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s6, c_idle)) | (~m_main_v_CMD(s6, c_write_h_resp_h_invalid))),
% 50.51/33.15 inference(modus_ponens,[status(thm)],[18701, 18700])).
% 50.51/33.15 tff(18703,plain,
% 50.51/33.15 (~m_main_v_CMD(s6, c_write_h_resp_h_invalid)),
% 50.51/33.15 inference(unit_resolution,[status(thm)],[18702, 7663, 18669])).
% 50.51/33.15 tff(18704,plain,
% 50.51/33.15 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s6, c_write_h_resp_h_invalid) | (~node3(s6)) | (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s6, c_write_h_resp_h_invalid) | (~node3(s6)) | (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid)))),
% 50.51/33.15 inference(rewrite,[status(thm)],[])).
% 50.51/33.15 tff(18705,plain,
% 50.51/33.15 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s6, c_write_h_resp_h_invalid) | (~node3(s6)) | (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid)))),
% 50.51/33.15 inference(quant_inst,[status(thm)],[])).
% 50.51/33.15 tff(18706,plain,
% 50.51/33.15 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s6, c_write_h_resp_h_invalid) | (~node3(s6)) | (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid))),
% 50.51/33.15 inference(modus_ponens,[status(thm)],[18705, 18704])).
% 50.51/33.15 tff(18707,plain,
% 50.51/33.15 (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid)),
% 50.51/33.15 inference(unit_resolution,[status(thm)],[18706, 1260, 16246, 18703])).
% 50.51/33.15 tff(18708,assumption,(node50(c_p1, s6)), introduced(assumption)).
% 50.51/33.15 tff(18709,assumption,(~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid)), introduced(assumption)).
% 50.51/33.15 tff(18710,plain,
% 50.51/33.15 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid) | (~node50(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid) | (~node50(c_p1, s6)))),
% 50.51/33.15 inference(rewrite,[status(thm)],[])).
% 50.51/33.15 tff(18711,plain,
% 50.51/33.15 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid) | (~node50(c_p1, s6)))),
% 50.51/33.15 inference(quant_inst,[status(thm)],[])).
% 50.51/33.15 tff(18712,plain,
% 50.51/33.15 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid) | (~node50(c_p1, s6))),
% 50.51/33.15 inference(modus_ponens,[status(thm)],[18711, 18710])).
% 50.51/33.15 tff(18713,plain,
% 50.51/33.15 ($false),
% 50.51/33.15 inference(unit_resolution,[status(thm)],[18712, 11598, 18709, 18708])).
% 50.51/33.15 tff(18714,plain,((~node50(c_p1, s6)) | m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.15 tff(18715,plain,
% 50.51/33.15 (~node50(c_p1, s6)),
% 50.51/33.15 inference(unit_resolution,[status(thm)],[18714, 18707])).
% 50.51/33.15 tff(18716,plain,
% 50.51/33.15 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s6, s7)) | node53(c_p1, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s6, s7)) | node53(c_p1, s6, s7))),
% 50.51/33.15 inference(rewrite,[status(thm)],[])).
% 50.51/33.15 tff(18717,plain,
% 50.51/33.15 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s6, s7)) | node53(c_p1, s6, s7))),
% 50.51/33.15 inference(quant_inst,[status(thm)],[])).
% 50.51/33.15 tff(18718,plain,
% 50.51/33.15 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s6, s7)) | node53(c_p1, s6, s7)),
% 50.51/33.15 inference(modus_ponens,[status(thm)],[18717, 18716])).
% 50.51/33.15 tff(18719,plain,
% 50.51/33.15 (node53(c_p1, s6, s7)),
% 50.51/33.15 inference(unit_resolution,[status(thm)],[18718, 575, 2344])).
% 50.51/33.15 tff(18720,plain,
% 50.51/33.15 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s6) | node48(c_p1, s6) | node47(c_p1, s6) | node51(c_p1, s6) | node50(c_p1, s6) | node49(c_p1, s6) | node52(c_p1, s6, s7) | (~node53(c_p1, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p1, s6) | node48(c_p1, s6) | node47(c_p1, s6) | node51(c_p1, s6) | node50(c_p1, s6) | node49(c_p1, s6) | node52(c_p1, s6, s7) | (~node53(c_p1, s6, s7)))),
% 50.51/33.15 inference(rewrite,[status(thm)],[])).
% 50.51/33.15 tff(18721,plain,
% 50.51/33.15 ((m_processor_v_abort(c_p1, s6) | node47(c_p1, s6) | node48(c_p1, s6) | node49(c_p1, s6) | node50(c_p1, s6) | node51(c_p1, s6) | node52(c_p1, s6, s7) | (~node53(c_p1, s6, s7))) <=> (m_processor_v_abort(c_p1, s6) | node48(c_p1, s6) | node47(c_p1, s6) | node51(c_p1, s6) | node50(c_p1, s6) | node49(c_p1, s6) | node52(c_p1, s6, s7) | (~node53(c_p1, s6, s7)))),
% 50.51/33.16 inference(rewrite,[status(thm)],[])).
% 50.51/33.16 tff(18722,plain,
% 50.51/33.16 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s6) | node47(c_p1, s6) | node48(c_p1, s6) | node49(c_p1, s6) | node50(c_p1, s6) | node51(c_p1, s6) | node52(c_p1, s6, s7) | (~node53(c_p1, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s6) | node48(c_p1, s6) | node47(c_p1, s6) | node51(c_p1, s6) | node50(c_p1, s6) | node49(c_p1, s6) | node52(c_p1, s6, s7) | (~node53(c_p1, s6, s7))))),
% 50.51/33.16 inference(monotonicity,[status(thm)],[18721])).
% 50.51/33.16 tff(18723,plain,
% 50.51/33.16 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s6) | node47(c_p1, s6) | node48(c_p1, s6) | node49(c_p1, s6) | node50(c_p1, s6) | node51(c_p1, s6) | node52(c_p1, s6, s7) | (~node53(c_p1, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p1, s6) | node48(c_p1, s6) | node47(c_p1, s6) | node51(c_p1, s6) | node50(c_p1, s6) | node49(c_p1, s6) | node52(c_p1, s6, s7) | (~node53(c_p1, s6, s7)))),
% 50.51/33.16 inference(transitivity,[status(thm)],[18722, 18720])).
% 50.51/33.16 tff(18724,plain,
% 50.51/33.16 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s6) | node47(c_p1, s6) | node48(c_p1, s6) | node49(c_p1, s6) | node50(c_p1, s6) | node51(c_p1, s6) | node52(c_p1, s6, s7) | (~node53(c_p1, s6, s7)))),
% 50.51/33.16 inference(quant_inst,[status(thm)],[])).
% 50.51/33.16 tff(18725,plain,
% 50.51/33.16 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p1, s6) | node48(c_p1, s6) | node47(c_p1, s6) | node51(c_p1, s6) | node50(c_p1, s6) | node49(c_p1, s6) | node52(c_p1, s6, s7) | (~node53(c_p1, s6, s7))),
% 50.51/33.16 inference(modus_ponens,[status(thm)],[18724, 18723])).
% 50.51/33.16 tff(18726,plain,
% 50.51/33.16 (m_processor_v_abort(c_p1, s6) | node48(c_p1, s6) | node47(c_p1, s6) | node51(c_p1, s6) | node50(c_p1, s6) | node49(c_p1, s6) | node52(c_p1, s6, s7)),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[18725, 11612, 18719])).
% 50.51/33.16 tff(18727,plain,
% 50.51/33.16 (node49(c_p1, s6)),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[18726, 18715, 18699, 18698, 18697, 13406, 18696])).
% 50.51/33.16 tff(18728,plain,
% 50.51/33.16 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | ((~node49(c_p1, s6)) | m_processor_v_CMD(c_p1, s6, c_response))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p1, s6)) | m_processor_v_CMD(c_p1, s6, c_response))),
% 50.51/33.16 inference(rewrite,[status(thm)],[])).
% 50.51/33.16 tff(18729,plain,
% 50.51/33.16 ((m_processor_v_CMD(c_p1, s6, c_response) | (~node49(c_p1, s6))) <=> ((~node49(c_p1, s6)) | m_processor_v_CMD(c_p1, s6, c_response))),
% 50.51/33.16 inference(rewrite,[status(thm)],[])).
% 50.51/33.16 tff(18730,plain,
% 50.51/33.16 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p1, s6, c_response) | (~node49(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | ((~node49(c_p1, s6)) | m_processor_v_CMD(c_p1, s6, c_response)))),
% 50.51/33.16 inference(monotonicity,[status(thm)],[18729])).
% 50.51/33.16 tff(18731,plain,
% 50.51/33.16 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p1, s6, c_response) | (~node49(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p1, s6)) | m_processor_v_CMD(c_p1, s6, c_response))),
% 50.51/33.16 inference(transitivity,[status(thm)],[18730, 18728])).
% 50.51/33.16 tff(18732,plain,
% 50.51/33.16 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p1, s6, c_response) | (~node49(c_p1, s6)))),
% 50.51/33.16 inference(quant_inst,[status(thm)],[])).
% 50.51/33.16 tff(18733,plain,
% 50.51/33.16 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p1, s6)) | m_processor_v_CMD(c_p1, s6, c_response)),
% 50.51/33.16 inference(modus_ponens,[status(thm)],[18732, 18731])).
% 50.51/33.16 tff(18734,plain,
% 50.51/33.16 ($false),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[18733, 11579, 18727, 18677])).
% 50.51/33.16 tff(18735,plain,(m_processor_v_abort(c_p1, s6) | node47(c_p1, s6) | node48(c_p1, s6) | node52(c_p1, s6, s7) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | (~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_state(c_p0, s7, c_invalid) | m_processor_v_waiting(c_p0, s7) | (~m_processor_v_REPLY_h_WAITING(c_p1, s6))), inference(lemma,lemma(discharge,[]))).
% 50.51/33.16 tff(18736,plain,
% 50.51/33.16 (m_processor_v_abort(c_p1, s6)),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[18735, 18316, 18312, 18308, 14157, 18298, 785, 2326, 2358, 2541, 18193])).
% 50.51/33.16 tff(18737,plain,
% 50.51/33.16 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s6)) | node46(c_p1, s6, s7) | (~node53(c_p1, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p1, s6)) | node46(c_p1, s6, s7) | (~node53(c_p1, s6, s7)))),
% 50.51/33.16 inference(rewrite,[status(thm)],[])).
% 50.51/33.16 tff(18738,plain,
% 50.51/33.16 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s6)) | node46(c_p1, s6, s7) | (~node53(c_p1, s6, s7)))),
% 50.51/33.16 inference(quant_inst,[status(thm)],[])).
% 50.51/33.16 tff(18739,plain,
% 50.51/33.16 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p1, s6)) | node46(c_p1, s6, s7) | (~node53(c_p1, s6, s7))),
% 50.51/33.16 inference(modus_ponens,[status(thm)],[18738, 18737])).
% 50.51/33.16 tff(18740,plain,
% 50.51/33.16 ((~m_processor_v_abort(c_p1, s6)) | node46(c_p1, s6, s7)),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[18739, 11690, 18719])).
% 50.51/33.16 tff(18741,plain,
% 50.51/33.16 (node46(c_p1, s6, s7)),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[18740, 18736])).
% 50.51/33.16 tff(18742,plain,
% 50.51/33.16 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p1, s6)) | m_processor_v_waiting(c_p1, s7) | (~node46(c_p1, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s6)) | m_processor_v_waiting(c_p1, s7) | (~node46(c_p1, s6, s7)))),
% 50.51/33.16 inference(rewrite,[status(thm)],[])).
% 50.51/33.16 tff(18743,plain,
% 50.51/33.16 ((m_processor_v_waiting(c_p1, s7) | (~m_processor_v_waiting(c_p1, s6)) | (~node46(c_p1, s6, s7))) <=> ((~m_processor_v_waiting(c_p1, s6)) | m_processor_v_waiting(c_p1, s7) | (~node46(c_p1, s6, s7)))),
% 50.51/33.16 inference(rewrite,[status(thm)],[])).
% 50.51/33.16 tff(18744,plain,
% 50.51/33.16 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s7) | (~m_processor_v_waiting(c_p1, s6)) | (~node46(c_p1, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p1, s6)) | m_processor_v_waiting(c_p1, s7) | (~node46(c_p1, s6, s7))))),
% 50.51/33.16 inference(monotonicity,[status(thm)],[18743])).
% 50.51/33.16 tff(18745,plain,
% 50.51/33.16 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s7) | (~m_processor_v_waiting(c_p1, s6)) | (~node46(c_p1, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s6)) | m_processor_v_waiting(c_p1, s7) | (~node46(c_p1, s6, s7)))),
% 50.51/33.16 inference(transitivity,[status(thm)],[18744, 18742])).
% 50.51/33.16 tff(18746,plain,
% 50.51/33.16 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s7) | (~m_processor_v_waiting(c_p1, s6)) | (~node46(c_p1, s6, s7)))),
% 50.51/33.16 inference(quant_inst,[status(thm)],[])).
% 50.51/33.16 tff(18747,plain,
% 50.51/33.16 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s6)) | m_processor_v_waiting(c_p1, s7) | (~node46(c_p1, s6, s7))),
% 50.51/33.16 inference(modus_ponens,[status(thm)],[18746, 18745])).
% 50.51/33.16 tff(18748,plain,
% 50.51/33.16 ($false),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[18747, 11708, 18174, 18183, 18741])).
% 50.51/33.16 tff(18749,plain,(m_processor_v_master(c_p1, s6) | m_processor_v_waiting(c_p1, s7) | (~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_state(c_p0, s7, c_invalid) | m_processor_v_waiting(c_p0, s7) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s5, c_owned) | (~m_processor_v_state(c_p1, s7, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.51/33.16 tff(18750,plain,
% 50.51/33.16 (m_processor_v_master(c_p1, s6)),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[18749, 1, 785, 2326, 2358, 2541, 18174, 53, 13435])).
% 50.51/33.16 tff(18751,plain,
% 50.51/33.16 (((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | ((~node16(s6)) | (~m_processor_v_master(c_p1, s6)))) <=> ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | (~node16(s6)) | (~m_processor_v_master(c_p1, s6)))),
% 50.51/33.16 inference(rewrite,[status(thm)],[])).
% 50.51/33.16 tff(18752,plain,
% 50.51/33.16 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | ((~node16(s6)) | (~m_processor_v_master(c_p1, s6)))),
% 50.51/33.16 inference(quant_inst,[status(thm)],[])).
% 50.51/33.16 tff(18753,plain,
% 50.51/33.16 ((~![X: $i] : ((~node16(X)) | (~m_processor_v_master(c_p1, X)))) | (~node16(s6)) | (~m_processor_v_master(c_p1, s6))),
% 50.51/33.16 inference(modus_ponens,[status(thm)],[18752, 18751])).
% 50.51/33.16 tff(18754,plain,
% 50.51/33.16 ($false),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[18753, 3386, 16313, 14211])).
% 50.51/33.16 tff(18755,plain,((~m_processor_v_master(c_p1, s6)) | (~node16(s6))), inference(lemma,lemma(discharge,[]))).
% 50.51/33.16 tff(18756,plain,
% 50.51/33.16 (~node16(s6)),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[18755, 16313])).
% 50.51/33.16 tff(18757,plain,
% 50.51/33.16 (~m_processor_v_master(c_p2, s6)),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[14224, 18756])).
% 50.51/33.16 tff(18758,plain,
% 50.51/33.16 (~node62(c_p2, s6)),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[14232, 18757])).
% 50.51/33.16 tff(18759,plain,
% 50.51/33.16 (m_processor_v_cmd(c_p2, s6, c_idle)),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[14269, 18757, 18758])).
% 50.51/33.16 tff(18760,plain,
% 50.51/33.16 (~m_processor_v_master(c_p0, s6)),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[16318, 16313])).
% 50.51/33.16 tff(18761,plain,
% 50.51/33.16 (m_processor_v_cmd(c_p0, s6, c_idle)),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[18577, 18760])).
% 50.51/33.16 tff(18762,plain,
% 50.51/33.16 (((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p1, s6)) | (~node17(s6)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | (~m_processor_v_master(c_p1, s6)) | (~node17(s6)))),
% 50.51/33.16 inference(rewrite,[status(thm)],[])).
% 50.51/33.16 tff(18763,plain,
% 50.51/33.16 ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p1, s6)) | (~node17(s6)))),
% 50.51/33.16 inference(quant_inst,[status(thm)],[])).
% 50.51/33.16 tff(18764,plain,
% 50.51/33.16 ((~![X: $i] : ((~m_processor_v_master(c_p1, X)) | (~node17(X)))) | (~m_processor_v_master(c_p1, s6)) | (~node17(s6))),
% 50.51/33.16 inference(modus_ponens,[status(thm)],[18763, 18762])).
% 50.51/33.16 tff(18765,plain,
% 50.51/33.16 ($false),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[18764, 3344, 16313, 18611])).
% 50.51/33.16 tff(18766,plain,((~node17(s6)) | (~m_processor_v_master(c_p1, s6))), inference(lemma,lemma(discharge,[]))).
% 50.51/33.16 tff(18767,plain,
% 50.51/33.16 (~node17(s6)),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[18766, 16313])).
% 50.51/33.16 tff(18768,plain,
% 50.51/33.16 (~m_memory_v_master(c_m, s6)),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[14301, 18767])).
% 50.51/33.16 tff(18769,plain,
% 50.51/33.16 (~node29(c_m, s6)),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[14293, 18768])).
% 50.51/33.16 tff(18770,plain,
% 50.51/33.16 (m_memory_v_cmd(c_m, s6, c_idle)),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[14285, 18769])).
% 50.51/33.16 tff(18771,plain,
% 50.51/33.16 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_owned)))),
% 50.51/33.16 inference(rewrite,[status(thm)],[])).
% 50.51/33.16 tff(18772,plain,
% 50.51/33.16 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_owned)))),
% 50.51/33.16 inference(quant_inst,[status(thm)],[])).
% 50.51/33.16 tff(18773,plain,
% 50.51/33.16 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_owned))),
% 50.51/33.16 inference(modus_ponens,[status(thm)],[18772, 18771])).
% 50.51/33.16 tff(18774,plain,
% 50.51/33.16 (~m_processor_v_cmd(c_p1, s6, c_read_h_owned)),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[18773, 3189, 14207])).
% 50.51/33.16 tff(18775,plain,
% 50.51/33.16 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_shared)))),
% 50.51/33.16 inference(rewrite,[status(thm)],[])).
% 50.51/33.16 tff(18776,plain,
% 50.51/33.16 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_shared)))),
% 50.51/33.16 inference(quant_inst,[status(thm)],[])).
% 50.51/33.16 tff(18777,plain,
% 50.51/33.16 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_shared))),
% 50.51/33.16 inference(modus_ponens,[status(thm)],[18776, 18775])).
% 50.51/33.16 tff(18778,plain,
% 50.51/33.16 (~m_processor_v_cmd(c_p1, s6, c_read_h_shared)),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[18777, 3200, 14207])).
% 50.51/33.16 tff(18779,plain,
% 50.51/33.16 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p1, s6)) | (~m_processor_v_state(c_p1, s6, c_invalid)) | m_processor_v_cmd(c_p1, s6, c_read_h_owned) | m_processor_v_cmd(c_p1, s6, c_read_h_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s6)) | (~m_processor_v_state(c_p1, s6, c_invalid)) | m_processor_v_cmd(c_p1, s6, c_read_h_owned) | m_processor_v_cmd(c_p1, s6, c_read_h_shared))),
% 50.51/33.16 inference(rewrite,[status(thm)],[])).
% 50.51/33.16 tff(18780,plain,
% 50.51/33.16 ((m_processor_v_cmd(c_p1, s6, c_read_h_owned) | m_processor_v_cmd(c_p1, s6, c_read_h_shared) | (~m_processor_v_state(c_p1, s6, c_invalid)) | (~m_processor_v_master(c_p1, s6))) <=> ((~m_processor_v_master(c_p1, s6)) | (~m_processor_v_state(c_p1, s6, c_invalid)) | m_processor_v_cmd(c_p1, s6, c_read_h_owned) | m_processor_v_cmd(c_p1, s6, c_read_h_shared))),
% 50.51/33.16 inference(rewrite,[status(thm)],[])).
% 50.51/33.16 tff(18781,plain,
% 50.51/33.16 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s6, c_read_h_owned) | m_processor_v_cmd(c_p1, s6, c_read_h_shared) | (~m_processor_v_state(c_p1, s6, c_invalid)) | (~m_processor_v_master(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p1, s6)) | (~m_processor_v_state(c_p1, s6, c_invalid)) | m_processor_v_cmd(c_p1, s6, c_read_h_owned) | m_processor_v_cmd(c_p1, s6, c_read_h_shared)))),
% 50.51/33.16 inference(monotonicity,[status(thm)],[18780])).
% 50.51/33.16 tff(18782,plain,
% 50.51/33.16 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s6, c_read_h_owned) | m_processor_v_cmd(c_p1, s6, c_read_h_shared) | (~m_processor_v_state(c_p1, s6, c_invalid)) | (~m_processor_v_master(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s6)) | (~m_processor_v_state(c_p1, s6, c_invalid)) | m_processor_v_cmd(c_p1, s6, c_read_h_owned) | m_processor_v_cmd(c_p1, s6, c_read_h_shared))),
% 50.51/33.16 inference(transitivity,[status(thm)],[18781, 18779])).
% 50.51/33.16 tff(18783,plain,
% 50.51/33.16 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s6, c_read_h_owned) | m_processor_v_cmd(c_p1, s6, c_read_h_shared) | (~m_processor_v_state(c_p1, s6, c_invalid)) | (~m_processor_v_master(c_p1, s6)))),
% 50.51/33.16 inference(quant_inst,[status(thm)],[])).
% 50.51/33.16 tff(18784,plain,
% 50.51/33.16 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s6)) | (~m_processor_v_state(c_p1, s6, c_invalid)) | m_processor_v_cmd(c_p1, s6, c_read_h_owned) | m_processor_v_cmd(c_p1, s6, c_read_h_shared)),
% 50.51/33.16 inference(modus_ponens,[status(thm)],[18783, 18782])).
% 50.51/33.16 tff(18785,plain,
% 50.51/33.16 (m_processor_v_cmd(c_p1, s6, c_read_h_owned) | m_processor_v_cmd(c_p1, s6, c_read_h_shared)),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[18784, 1835, 13439, 16313])).
% 50.51/33.16 tff(18786,plain,
% 50.51/33.16 ($false),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[18785, 18778, 18774])).
% 50.51/33.16 tff(18787,plain,((~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_state(c_p1, s6, c_invalid)) | (~m_processor_v_master(c_p1, s6))), inference(lemma,lemma(discharge,[]))).
% 50.51/33.16 tff(18788,plain,
% 50.51/33.16 (~m_processor_v_cmd(c_p1, s6, c_idle)),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[18787, 13439, 16313])).
% 50.51/33.16 tff(18789,assumption,(node9(s6)), introduced(assumption)).
% 50.51/33.16 tff(18790,plain,
% 50.51/33.16 (((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | (m_processor_v_cmd(c_p1, s6, c_idle) | (~node9(s6)))) <=> ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | m_processor_v_cmd(c_p1, s6, c_idle) | (~node9(s6)))),
% 50.51/33.16 inference(rewrite,[status(thm)],[])).
% 50.51/33.16 tff(18791,plain,
% 50.51/33.16 ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | (m_processor_v_cmd(c_p1, s6, c_idle) | (~node9(s6)))),
% 50.51/33.16 inference(quant_inst,[status(thm)],[])).
% 50.51/33.16 tff(18792,plain,
% 50.51/33.16 ((~![X: $i] : (m_processor_v_cmd(c_p1, X, c_idle) | (~node9(X)))) | m_processor_v_cmd(c_p1, s6, c_idle) | (~node9(s6))),
% 50.51/33.16 inference(modus_ponens,[status(thm)],[18791, 18790])).
% 50.51/33.16 tff(18793,plain,
% 50.51/33.16 ($false),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[18792, 3443, 14148, 18789])).
% 50.51/33.16 tff(18794,plain,((~node9(s6)) | m_processor_v_cmd(c_p1, s6, c_idle)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.16 tff(18795,plain,
% 50.51/33.16 (~node9(s6)),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[18794, 18788])).
% 50.51/33.16 tff(18796,assumption,(~node9(s6)), introduced(assumption)).
% 50.51/33.16 tff(18797,assumption,(~node10(s6)), introduced(assumption)).
% 50.51/33.16 tff(18798,plain,
% 50.51/33.16 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s6) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | node10(s6))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s6) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | node10(s6))),
% 50.51/33.16 inference(rewrite,[status(thm)],[])).
% 50.51/33.16 tff(18799,plain,
% 50.51/33.16 ((node9(s6) | node10(s6) | (~m_memory_v_cmd(c_m, s6, c_idle)) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle))) <=> (node9(s6) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | node10(s6))),
% 50.51/33.16 inference(rewrite,[status(thm)],[])).
% 50.51/33.16 tff(18800,plain,
% 50.51/33.16 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s6) | node10(s6) | (~m_memory_v_cmd(c_m, s6, c_idle)) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle)))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s6) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | node10(s6)))),
% 50.51/33.16 inference(monotonicity,[status(thm)],[18799])).
% 50.51/33.16 tff(18801,plain,
% 50.51/33.16 (((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s6) | node10(s6) | (~m_memory_v_cmd(c_m, s6, c_idle)) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle)))) <=> ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s6) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | node10(s6))),
% 50.51/33.16 inference(transitivity,[status(thm)],[18800, 18798])).
% 50.51/33.16 tff(18802,plain,
% 50.51/33.16 ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s6) | node10(s6) | (~m_memory_v_cmd(c_m, s6, c_idle)) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle)))),
% 50.51/33.16 inference(quant_inst,[status(thm)],[])).
% 50.51/33.16 tff(18803,plain,
% 50.51/33.16 ((~![X: $i] : (node9(X) | node10(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s6) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | node10(s6)),
% 50.51/33.16 inference(modus_ponens,[status(thm)],[18802, 18801])).
% 50.51/33.16 tff(18804,plain,
% 50.51/33.16 ($false),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[18803, 3461, 18659, 18581, 18317, 18797, 18796])).
% 50.51/33.16 tff(18805,plain,(node9(s6) | (~m_processor_v_cmd(c_p0, s6, c_idle)) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | node10(s6)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.16 tff(18806,plain,
% 50.51/33.16 (node10(s6)),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[18805, 18795, 18770, 18761, 18759])).
% 50.51/33.16 tff(18807,plain,
% 50.51/33.16 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6) | (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)) | m_processor_v_waiting(c_p1, s7) | (~node53(c_p1, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6) | (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)) | m_processor_v_waiting(c_p1, s7) | (~node53(c_p1, s6, s7)))),
% 50.51/33.16 inference(rewrite,[status(thm)],[])).
% 50.51/33.16 tff(18808,plain,
% 50.51/33.16 ((m_processor_v_waiting(c_p1, s7) | (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6) | (~node53(c_p1, s6, s7))) <=> ((~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6) | (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)) | m_processor_v_waiting(c_p1, s7) | (~node53(c_p1, s6, s7)))),
% 50.51/33.16 inference(rewrite,[status(thm)],[])).
% 50.51/33.16 tff(18809,plain,
% 50.51/33.16 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s7) | (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6) | (~node53(c_p1, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6) | (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)) | m_processor_v_waiting(c_p1, s7) | (~node53(c_p1, s6, s7))))),
% 50.51/33.16 inference(monotonicity,[status(thm)],[18808])).
% 50.51/33.16 tff(18810,plain,
% 50.51/33.16 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s7) | (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6) | (~node53(c_p1, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6) | (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)) | m_processor_v_waiting(c_p1, s7) | (~node53(c_p1, s6, s7)))),
% 50.51/33.16 inference(transitivity,[status(thm)],[18809, 18807])).
% 50.51/33.16 tff(18811,plain,
% 50.51/33.16 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s7) | (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6) | (~node53(c_p1, s6, s7)))),
% 50.51/33.16 inference(quant_inst,[status(thm)],[])).
% 50.51/33.16 tff(18812,plain,
% 50.51/33.16 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6) | (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)) | m_processor_v_waiting(c_p1, s7) | (~node53(c_p1, s6, s7))),
% 50.51/33.16 inference(modus_ponens,[status(thm)],[18811, 18810])).
% 50.51/33.16 tff(18813,plain,
% 50.51/33.16 ((~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6) | (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)) | m_processor_v_waiting(c_p1, s7)),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[18812, 589, 18719])).
% 50.51/33.16 tff(18814,plain,
% 50.51/33.16 (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[18813, 18174, 16313, 13406])).
% 50.51/33.16 tff(18815,plain,
% 50.51/33.16 (~m_main_v_CMD(s6, c_read_h_shared)),
% 50.51/33.16 inference(unit_resolution,[status(thm)],[18379, 18814])).
% 50.51/33.16 tff(18816,assumption,(node10(s6)), introduced(assumption)).
% 50.51/33.17 tff(18817,plain,
% 50.51/33.17 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_shared)) | m_main_v_CMD(s6, c_read_h_shared))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_shared)) | m_main_v_CMD(s6, c_read_h_shared))),
% 50.51/33.17 inference(rewrite,[status(thm)],[])).
% 50.51/33.17 tff(18818,plain,
% 50.51/33.17 ((m_main_v_CMD(s6, c_read_h_shared) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_shared))) <=> ((~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_shared)) | m_main_v_CMD(s6, c_read_h_shared))),
% 50.51/33.17 inference(rewrite,[status(thm)],[])).
% 50.51/33.17 tff(18819,plain,
% 50.51/33.17 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s6, c_read_h_shared) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_shared)) | m_main_v_CMD(s6, c_read_h_shared)))),
% 50.51/33.17 inference(monotonicity,[status(thm)],[18818])).
% 50.51/33.17 tff(18820,plain,
% 50.51/33.17 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s6, c_read_h_shared) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_shared)) | m_main_v_CMD(s6, c_read_h_shared))),
% 50.51/33.17 inference(transitivity,[status(thm)],[18819, 18817])).
% 50.51/33.17 tff(18821,plain,
% 50.51/33.17 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s6, c_read_h_shared) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_shared)))),
% 50.51/33.17 inference(quant_inst,[status(thm)],[])).
% 50.51/33.17 tff(18822,plain,
% 50.51/33.17 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_shared)) | m_main_v_CMD(s6, c_read_h_shared)),
% 50.51/33.17 inference(modus_ponens,[status(thm)],[18821, 18820])).
% 50.51/33.17 tff(18823,plain,
% 50.51/33.17 ((~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_shared))),
% 50.51/33.17 inference(unit_resolution,[status(thm)],[18822, 3481, 14317])).
% 50.51/33.17 tff(18824,plain,
% 50.51/33.17 (~m_processor_v_cmd(c_p1, s6, c_read_h_shared)),
% 50.51/33.17 inference(unit_resolution,[status(thm)],[18823, 18816])).
% 50.51/33.17 tff(18825,plain,
% 50.51/33.17 (m_processor_v_cmd(c_p1, s6, c_read_h_owned)),
% 50.51/33.17 inference(unit_resolution,[status(thm)],[18785, 18824])).
% 50.51/33.17 tff(18826,plain,
% 50.51/33.17 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_owned)) | m_main_v_CMD(s6, c_read_h_owned))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_owned)) | m_main_v_CMD(s6, c_read_h_owned))),
% 50.51/33.17 inference(rewrite,[status(thm)],[])).
% 50.51/33.17 tff(18827,plain,
% 50.51/33.17 ((m_main_v_CMD(s6, c_read_h_owned) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_owned))) <=> ((~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_owned)) | m_main_v_CMD(s6, c_read_h_owned))),
% 50.51/33.17 inference(rewrite,[status(thm)],[])).
% 50.51/33.17 tff(18828,plain,
% 50.51/33.17 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s6, c_read_h_owned) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_owned)) | m_main_v_CMD(s6, c_read_h_owned)))),
% 50.51/33.17 inference(monotonicity,[status(thm)],[18827])).
% 50.51/33.17 tff(18829,plain,
% 50.51/33.17 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s6, c_read_h_owned) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_owned)) | m_main_v_CMD(s6, c_read_h_owned))),
% 50.51/33.17 inference(transitivity,[status(thm)],[18828, 18826])).
% 50.51/33.17 tff(18830,plain,
% 50.51/33.17 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s6, c_read_h_owned) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_owned)))),
% 50.51/33.17 inference(quant_inst,[status(thm)],[])).
% 50.51/33.17 tff(18831,plain,
% 50.51/33.17 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_owned)) | m_main_v_CMD(s6, c_read_h_owned)),
% 50.51/33.17 inference(modus_ponens,[status(thm)],[18830, 18829])).
% 50.51/33.17 tff(18832,plain,
% 50.51/33.17 ($false),
% 50.51/33.17 inference(unit_resolution,[status(thm)],[18831, 3481, 14208, 18825, 18816])).
% 50.51/33.17 tff(18833,plain,((~node10(s6)) | m_main_v_CMD(s6, c_read_h_owned) | (~m_processor_v_state(c_p1, s6, c_invalid)) | (~m_processor_v_master(c_p1, s6)) | m_main_v_CMD(s6, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.17 tff(18834,plain,
% 50.51/33.17 (m_main_v_CMD(s6, c_read_h_owned)),
% 50.51/33.17 inference(unit_resolution,[status(thm)],[18833, 18815, 13439, 16313, 18806])).
% 50.51/33.17 tff(18835,plain,
% 50.51/33.17 (m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 50.51/33.17 inference(unit_resolution,[status(thm)],[16254, 18834])).
% 50.51/33.17 tff(18836,plain,
% 50.51/33.17 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6) | node47(c_p1, s6) | (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)) | m_processor_v_waiting(c_p1, s7) | (~node53(c_p1, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6) | node47(c_p1, s6) | (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)) | m_processor_v_waiting(c_p1, s7) | (~node53(c_p1, s6, s7)))),
% 50.51/33.17 inference(rewrite,[status(thm)],[])).
% 50.51/33.17 tff(18837,plain,
% 50.51/33.17 ((m_processor_v_waiting(c_p1, s7) | (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6) | node47(c_p1, s6) | (~node53(c_p1, s6, s7))) <=> ((~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6) | node47(c_p1, s6) | (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)) | m_processor_v_waiting(c_p1, s7) | (~node53(c_p1, s6, s7)))),
% 50.51/33.17 inference(rewrite,[status(thm)],[])).
% 50.51/33.17 tff(18838,plain,
% 50.51/33.17 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s7) | (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6) | node47(c_p1, s6) | (~node53(c_p1, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6) | node47(c_p1, s6) | (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)) | m_processor_v_waiting(c_p1, s7) | (~node53(c_p1, s6, s7))))),
% 50.51/33.17 inference(monotonicity,[status(thm)],[18837])).
% 50.51/33.17 tff(18839,plain,
% 50.51/33.17 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s7) | (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6) | node47(c_p1, s6) | (~node53(c_p1, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6) | node47(c_p1, s6) | (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)) | m_processor_v_waiting(c_p1, s7) | (~node53(c_p1, s6, s7)))),
% 50.51/33.17 inference(transitivity,[status(thm)],[18838, 18836])).
% 50.51/33.17 tff(18840,plain,
% 50.51/33.17 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s7) | (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6) | node47(c_p1, s6) | (~node53(c_p1, s6, s7)))),
% 50.51/33.17 inference(quant_inst,[status(thm)],[])).
% 50.51/33.17 tff(18841,plain,
% 50.51/33.17 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6) | node47(c_p1, s6) | (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)) | m_processor_v_waiting(c_p1, s7) | (~node53(c_p1, s6, s7))),
% 50.51/33.17 inference(modus_ponens,[status(thm)],[18840, 18839])).
% 50.51/33.17 tff(18842,plain,
% 50.51/33.17 ((~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6) | node47(c_p1, s6) | (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)) | m_processor_v_waiting(c_p1, s7)),
% 50.51/33.17 inference(unit_resolution,[status(thm)],[18841, 640, 18719])).
% 50.51/33.17 tff(18843,plain,
% 50.51/33.17 (node47(c_p1, s6)),
% 50.51/33.17 inference(unit_resolution,[status(thm)],[18842, 18835, 16313, 13406, 18174])).
% 50.51/33.17 tff(18844,plain,
% 50.51/33.17 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p1, s6, c_read_h_shared) | (~node47(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | (~node47(c_p1, s6)))),
% 50.51/33.17 inference(rewrite,[status(thm)],[])).
% 50.51/33.17 tff(18845,plain,
% 50.51/33.17 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p1, s6, c_read_h_shared) | (~node47(c_p1, s6)))),
% 50.51/33.17 inference(quant_inst,[status(thm)],[])).
% 50.51/33.17 tff(18846,plain,
% 50.51/33.17 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | (~node47(c_p1, s6))),
% 50.51/33.17 inference(modus_ponens,[status(thm)],[18845, 18844])).
% 50.51/33.17 tff(18847,plain,
% 50.51/33.17 ($false),
% 50.51/33.17 inference(unit_resolution,[status(thm)],[18846, 657, 18814, 18843])).
% 50.51/33.17 tff(18848,plain,(m_processor_v_waiting(c_p1, s7) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6) | (~m_processor_v_state(c_p1, s6, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 50.51/33.17 tff(18849,plain,
% 50.51/33.17 (m_processor_v_abort(c_p1, s6)),
% 50.51/33.17 inference(unit_resolution,[status(thm)],[18848, 13439, 16313, 18174])).
% 50.51/33.17 tff(18850,plain,
% 50.51/33.17 ($false),
% 50.51/33.17 inference(unit_resolution,[status(thm)],[13472, 18849, 13608])).
% 50.51/33.17 tff(18851,plain,((~m_processor_v_state(c_p1, s6, c_invalid)) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_waiting(c_p1, s7) | m_processor_v_state(c_p1, s7, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.17 tff(18852,plain,
% 50.51/33.17 (~m_processor_v_state(c_p1, s6, c_invalid)),
% 50.51/33.17 inference(unit_resolution,[status(thm)],[18851, 18750, 13436, 18174])).
% 50.51/33.17 tff(18853,plain,
% 50.51/33.17 (m_processor_v_state(c_p1, s6, c_owned)),
% 50.51/33.17 inference(unit_resolution,[status(thm)],[158, 18852, 1])).
% 50.51/33.17 tff(18854,plain,
% 50.51/33.17 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p1, s6, c_invalid) | (~node62(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p1, s6, c_invalid) | (~node62(c_p1, s6)))),
% 50.51/33.17 inference(rewrite,[status(thm)],[])).
% 50.51/33.17 tff(18855,plain,
% 50.51/33.17 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | (m_processor_v_state(c_p1, s6, c_invalid) | (~node62(c_p1, s6)))),
% 50.51/33.17 inference(quant_inst,[status(thm)],[])).
% 50.51/33.17 tff(18856,plain,
% 50.51/33.17 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_invalid) | (~node62(I0, X)))) | m_processor_v_state(c_p1, s6, c_invalid) | (~node62(c_p1, s6))),
% 50.51/33.17 inference(modus_ponens,[status(thm)],[18855, 18854])).
% 50.51/33.17 tff(18857,plain,
% 50.51/33.17 ($false),
% 50.51/33.17 inference(unit_resolution,[status(thm)],[18856, 1633, 143, 14141])).
% 50.51/33.17 tff(18858,plain,((~node62(c_p1, s6)) | m_processor_v_state(c_p1, s6, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.17 tff(18859,plain,
% 50.51/33.17 (~node62(c_p1, s6)),
% 50.51/33.17 inference(unit_resolution,[status(thm)],[18858, 141])).
% 50.51/33.17 tff(18860,assumption,(node63(c_p1, s6)), introduced(assumption)).
% 50.51/33.17 tff(18861,plain,
% 50.51/33.17 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p1, s6, c_shared) | (~node63(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p1, s6, c_shared) | (~node63(c_p1, s6)))),
% 50.51/33.17 inference(rewrite,[status(thm)],[])).
% 50.51/33.17 tff(18862,plain,
% 50.51/33.17 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p1, s6, c_shared) | (~node63(c_p1, s6)))),
% 50.51/33.17 inference(quant_inst,[status(thm)],[])).
% 50.51/33.17 tff(18863,plain,
% 50.51/33.17 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p1, s6, c_shared) | (~node63(c_p1, s6))),
% 50.51/33.17 inference(modus_ponens,[status(thm)],[18862, 18861])).
% 50.51/33.17 tff(18864,plain,
% 50.51/33.17 ($false),
% 50.51/33.17 inference(unit_resolution,[status(thm)],[18863, 1809, 1, 18860])).
% 50.51/33.17 tff(18865,plain,((~node63(c_p1, s6)) | m_processor_v_state(c_p1, s6, c_shared)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.17 tff(18866,plain,
% 50.51/33.17 (~node63(c_p1, s6)),
% 50.51/33.17 inference(unit_resolution,[status(thm)],[18865, 13503])).
% 50.51/33.17 tff(18867,assumption,(~node66(c_p1, s6)), introduced(assumption)).
% 50.51/33.17 tff(18868,plain,
% 50.51/33.17 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)))),
% 50.51/33.17 inference(rewrite,[status(thm)],[])).
% 50.51/33.17 tff(18869,plain,
% 50.51/33.17 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)))),
% 50.51/33.17 inference(quant_inst,[status(thm)],[])).
% 50.51/33.17 tff(18870,plain,
% 50.51/33.17 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared))),
% 50.51/33.17 inference(modus_ponens,[status(thm)],[18869, 18868])).
% 50.51/33.17 tff(18871,plain,
% 50.51/33.17 (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)),
% 50.51/33.17 inference(unit_resolution,[status(thm)],[18870, 4285, 14207])).
% 50.51/33.17 tff(18872,assumption,(~node62(c_p1, s6)), introduced(assumption)).
% 50.51/33.17 tff(18873,plain,
% 50.51/33.17 (~m_processor_v_state(c_p1, s6, c_shared)),
% 50.51/33.17 inference(unit_resolution,[status(thm)],[127, 121, 113])).
% 50.51/33.17 tff(18874,plain,
% 50.51/33.17 (~node63(c_p1, s6)),
% 50.51/33.17 inference(unit_resolution,[status(thm)],[18863, 1809, 18873])).
% 50.51/33.17 tff(18875,plain,
% 50.51/33.17 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid)))),
% 50.51/33.17 inference(rewrite,[status(thm)],[])).
% 50.51/33.17 tff(18876,plain,
% 50.51/33.17 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid)))),
% 50.51/33.17 inference(quant_inst,[status(thm)],[])).
% 50.51/33.17 tff(18877,plain,
% 50.51/33.17 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid))),
% 50.51/33.17 inference(modus_ponens,[status(thm)],[18876, 18875])).
% 50.51/33.17 tff(18878,plain,
% 50.51/33.17 (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid)),
% 50.51/33.17 inference(unit_resolution,[status(thm)],[18877, 4296, 14207])).
% 50.51/33.17 tff(18879,plain,
% 50.51/33.17 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | node63(c_p1, s6) | m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s6, c_owned)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | node63(c_p1, s6) | m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s6, c_owned)))),
% 50.51/33.17 inference(rewrite,[status(thm)],[])).
% 50.51/33.17 tff(18880,plain,
% 50.51/33.17 ((m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s6, c_owned)) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | node63(c_p1, s6)) <=> ((~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | node63(c_p1, s6) | m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s6, c_owned)))),
% 50.51/33.17 inference(rewrite,[status(thm)],[])).
% 50.51/33.17 tff(18881,plain,
% 50.51/33.17 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s6, c_owned)) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | node63(c_p1, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | node63(c_p1, s6) | m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s6, c_owned))))),
% 50.51/33.17 inference(monotonicity,[status(thm)],[18880])).
% 50.51/33.17 tff(18882,plain,
% 50.51/33.17 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s6, c_owned)) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | node63(c_p1, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | node63(c_p1, s6) | m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s6, c_owned)))),
% 50.51/33.17 inference(transitivity,[status(thm)],[18881, 18879])).
% 50.51/33.17 tff(18883,plain,
% 50.51/33.17 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s6, c_owned)) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | node63(c_p1, s6))),
% 50.51/33.17 inference(quant_inst,[status(thm)],[])).
% 50.51/33.17 tff(18884,plain,
% 50.51/33.17 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | node63(c_p1, s6) | m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s6, c_owned))),
% 50.51/33.17 inference(modus_ponens,[status(thm)],[18883, 18882])).
% 50.51/33.17 tff(18885,plain,
% 50.51/33.17 ((~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | node63(c_p1, s6) | m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s6, c_owned))),
% 50.51/33.17 inference(unit_resolution,[status(thm)],[18884, 7172, 113])).
% 50.51/33.17 tff(18886,plain,
% 50.51/33.17 (~m_processor_v_snoop(c_p1, s6, c_owned)),
% 50.51/33.17 inference(unit_resolution,[status(thm)],[18885, 18878, 18874, 18872, 16313])).
% 50.51/33.17 tff(18887,plain,
% 50.51/33.17 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p1, s6, c_owned) | (~node64(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p1, s6, c_owned) | (~node64(c_p1, s6)))),
% 50.51/33.17 inference(rewrite,[status(thm)],[])).
% 50.51/33.17 tff(18888,plain,
% 50.51/33.17 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p1, s6, c_owned) | (~node64(c_p1, s6)))),
% 50.51/33.17 inference(quant_inst,[status(thm)],[])).
% 50.51/33.17 tff(18889,plain,
% 50.51/33.17 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p1, s6, c_owned) | (~node64(c_p1, s6))),
% 50.51/33.17 inference(modus_ponens,[status(thm)],[18888, 18887])).
% 50.51/33.17 tff(18890,plain,
% 50.51/33.17 (~node64(c_p1, s6)),
% 50.51/33.17 inference(unit_resolution,[status(thm)],[18889, 4082, 18886])).
% 50.51/33.17 tff(18891,plain,
% 50.51/33.17 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6) | (~m_processor_v_snoop(c_p1, s6, c_shared)) | m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6) | (~m_processor_v_snoop(c_p1, s6, c_shared)) | m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared))),
% 50.51/33.17 inference(rewrite,[status(thm)],[])).
% 50.51/33.17 tff(18892,plain,
% 50.51/33.17 ((m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s6, c_shared)) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6)) <=> ((~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6) | (~m_processor_v_snoop(c_p1, s6, c_shared)) | m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared))),
% 50.51/33.17 inference(rewrite,[status(thm)],[])).
% 50.51/33.17 tff(18893,plain,
% 50.51/33.17 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s6, c_shared)) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6) | (~m_processor_v_snoop(c_p1, s6, c_shared)) | m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)))),
% 50.51/33.18 inference(monotonicity,[status(thm)],[18892])).
% 50.51/33.18 tff(18894,plain,
% 50.51/33.18 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s6, c_shared)) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6) | (~m_processor_v_snoop(c_p1, s6, c_shared)) | m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared))),
% 50.51/33.18 inference(transitivity,[status(thm)],[18893, 18891])).
% 50.51/33.18 tff(18895,plain,
% 50.51/33.18 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s6, c_shared)) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6))),
% 50.51/33.18 inference(quant_inst,[status(thm)],[])).
% 50.51/33.18 tff(18896,plain,
% 50.51/33.18 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6) | (~m_processor_v_snoop(c_p1, s6, c_shared)) | m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)),
% 50.51/33.18 inference(modus_ponens,[status(thm)],[18895, 18894])).
% 50.51/33.18 tff(18897,plain,
% 50.51/33.18 ((~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6) | (~m_processor_v_snoop(c_p1, s6, c_shared)) | m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18896, 7256, 113])).
% 50.51/33.18 tff(18898,plain,
% 50.51/33.18 (~m_processor_v_snoop(c_p1, s6, c_shared)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18897, 18890, 18874, 18872, 16313, 18871])).
% 50.51/33.18 tff(18899,plain,
% 50.51/33.18 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_invalid)))),
% 50.51/33.18 inference(rewrite,[status(thm)],[])).
% 50.51/33.18 tff(18900,plain,
% 50.51/33.18 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_invalid)))),
% 50.51/33.18 inference(quant_inst,[status(thm)],[])).
% 50.51/33.18 tff(18901,plain,
% 50.51/33.18 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_invalid))),
% 50.51/33.18 inference(modus_ponens,[status(thm)],[18900, 18899])).
% 50.51/33.18 tff(18902,plain,
% 50.51/33.18 (~m_processor_v_cmd(c_p1, s6, c_write_h_invalid)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18901, 3630, 14207])).
% 50.51/33.18 tff(18903,plain,
% 50.51/33.18 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s6, c_invalid) | m_processor_v_snoop(c_p1, s6, c_shared) | m_processor_v_snoop(c_p1, s6, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p1, s6, c_invalid) | m_processor_v_snoop(c_p1, s6, c_shared) | m_processor_v_snoop(c_p1, s6, c_owned))),
% 50.51/33.18 inference(rewrite,[status(thm)],[])).
% 50.51/33.18 tff(18904,plain,
% 50.51/33.18 ((m_processor_v_snoop(c_p1, s6, c_shared) | m_processor_v_snoop(c_p1, s6, c_owned) | m_processor_v_snoop(c_p1, s6, c_invalid)) <=> (m_processor_v_snoop(c_p1, s6, c_invalid) | m_processor_v_snoop(c_p1, s6, c_shared) | m_processor_v_snoop(c_p1, s6, c_owned))),
% 50.51/33.18 inference(rewrite,[status(thm)],[])).
% 50.51/33.18 tff(18905,plain,
% 50.51/33.18 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s6, c_shared) | m_processor_v_snoop(c_p1, s6, c_owned) | m_processor_v_snoop(c_p1, s6, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s6, c_invalid) | m_processor_v_snoop(c_p1, s6, c_shared) | m_processor_v_snoop(c_p1, s6, c_owned)))),
% 50.51/33.18 inference(monotonicity,[status(thm)],[18904])).
% 50.51/33.18 tff(18906,plain,
% 50.51/33.18 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s6, c_shared) | m_processor_v_snoop(c_p1, s6, c_owned) | m_processor_v_snoop(c_p1, s6, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p1, s6, c_invalid) | m_processor_v_snoop(c_p1, s6, c_shared) | m_processor_v_snoop(c_p1, s6, c_owned))),
% 50.51/33.18 inference(transitivity,[status(thm)],[18905, 18903])).
% 50.51/33.18 tff(18907,plain,
% 50.51/33.18 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s6, c_shared) | m_processor_v_snoop(c_p1, s6, c_owned) | m_processor_v_snoop(c_p1, s6, c_invalid))),
% 50.51/33.18 inference(quant_inst,[status(thm)],[])).
% 50.51/33.18 tff(18908,plain,
% 50.51/33.18 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p1, s6, c_invalid) | m_processor_v_snoop(c_p1, s6, c_shared) | m_processor_v_snoop(c_p1, s6, c_owned)),
% 50.51/33.18 inference(modus_ponens,[status(thm)],[18907, 18906])).
% 50.51/33.18 tff(18909,plain,
% 50.51/33.18 (m_processor_v_snoop(c_p1, s6, c_invalid) | m_processor_v_snoop(c_p1, s6, c_shared)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18908, 7213, 18886])).
% 50.51/33.18 tff(18910,plain,
% 50.51/33.18 (m_processor_v_snoop(c_p1, s6, c_invalid)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18909, 18898])).
% 50.51/33.18 tff(18911,plain,
% 50.51/33.18 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_snoop(c_p1, s6, c_invalid)) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_cmd(c_p1, s6, c_write_h_invalid) | node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6) | node65(c_p1, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_snoop(c_p1, s6, c_invalid)) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_cmd(c_p1, s6, c_write_h_invalid) | node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6) | node65(c_p1, s6))),
% 50.51/33.18 inference(rewrite,[status(thm)],[])).
% 50.51/33.18 tff(18912,plain,
% 50.51/33.18 ((m_processor_v_cmd(c_p1, s6, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s6, c_invalid)) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6) | node65(c_p1, s6)) <=> ((~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_snoop(c_p1, s6, c_invalid)) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_cmd(c_p1, s6, c_write_h_invalid) | node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6) | node65(c_p1, s6))),
% 50.51/33.18 inference(rewrite,[status(thm)],[])).
% 50.51/33.18 tff(18913,plain,
% 50.51/33.18 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p1, s6, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s6, c_invalid)) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6) | node65(c_p1, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_snoop(c_p1, s6, c_invalid)) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_cmd(c_p1, s6, c_write_h_invalid) | node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6) | node65(c_p1, s6)))),
% 50.51/33.18 inference(monotonicity,[status(thm)],[18912])).
% 50.51/33.18 tff(18914,plain,
% 50.51/33.18 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p1, s6, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s6, c_invalid)) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6) | node65(c_p1, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_snoop(c_p1, s6, c_invalid)) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_cmd(c_p1, s6, c_write_h_invalid) | node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6) | node65(c_p1, s6))),
% 50.51/33.18 inference(transitivity,[status(thm)],[18913, 18911])).
% 50.51/33.18 tff(18915,plain,
% 50.51/33.18 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p1, s6, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s6, c_invalid)) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6) | node65(c_p1, s6))),
% 50.51/33.18 inference(quant_inst,[status(thm)],[])).
% 50.51/33.18 tff(18916,plain,
% 50.51/33.18 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p1, s6, c_owned)) | (~m_processor_v_snoop(c_p1, s6, c_invalid)) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_cmd(c_p1, s6, c_write_h_invalid) | node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6) | node65(c_p1, s6)),
% 50.51/33.18 inference(modus_ponens,[status(thm)],[18915, 18914])).
% 50.51/33.18 tff(18917,plain,
% 50.51/33.18 ((~m_processor_v_snoop(c_p1, s6, c_invalid)) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_cmd(c_p1, s6, c_write_h_invalid) | node62(c_p1, s6) | node63(c_p1, s6) | node64(c_p1, s6) | node65(c_p1, s6)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18916, 7232, 113])).
% 50.51/33.18 tff(18918,plain,
% 50.51/33.18 (node65(c_p1, s6)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18917, 18910, 16313, 18872, 18874, 18902, 18890])).
% 50.51/33.18 tff(18919,plain,
% 50.51/33.18 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p1, s6, c_shared) | (~node65(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p1, s6, c_shared) | (~node65(c_p1, s6)))),
% 50.51/33.18 inference(rewrite,[status(thm)],[])).
% 50.51/33.18 tff(18920,plain,
% 50.51/33.18 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p1, s6, c_shared) | (~node65(c_p1, s6)))),
% 50.51/33.18 inference(quant_inst,[status(thm)],[])).
% 50.51/33.18 tff(18921,plain,
% 50.51/33.18 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p1, s6, c_shared) | (~node65(c_p1, s6))),
% 50.51/33.18 inference(modus_ponens,[status(thm)],[18920, 18919])).
% 50.51/33.18 tff(18922,plain,
% 50.51/33.18 ($false),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18921, 4107, 18918, 18898])).
% 50.51/33.18 tff(18923,plain,((~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | (~m_processor_v_state(c_p1, s6, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.51/33.18 tff(18924,plain,
% 50.51/33.18 (~m_processor_v_cmd(c_p1, s6, c_idle)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18923, 18859, 16313, 113])).
% 50.51/33.18 tff(18925,plain,
% 50.51/33.18 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s6, c_read_h_shared)) | (~m_main_v_CMD(s6, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s6, c_read_h_shared)) | (~m_main_v_CMD(s6, c_write_h_resp_h_shared)))),
% 50.51/33.18 inference(rewrite,[status(thm)],[])).
% 50.51/33.18 tff(18926,plain,
% 50.51/33.18 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s6, c_read_h_shared)) | (~m_main_v_CMD(s6, c_write_h_resp_h_shared)))),
% 50.51/33.18 inference(quant_inst,[status(thm)],[])).
% 50.51/33.18 tff(18927,plain,
% 50.51/33.18 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s6, c_read_h_shared)) | (~m_main_v_CMD(s6, c_write_h_resp_h_shared))),
% 50.51/33.18 inference(modus_ponens,[status(thm)],[18926, 18925])).
% 50.51/33.18 tff(18928,plain,
% 50.51/33.18 (~m_main_v_CMD(s6, c_write_h_resp_h_shared)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18927, 7902, 14351])).
% 50.51/33.18 tff(18929,plain,
% 50.51/33.18 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s6, c_read_h_shared)) | (~m_main_v_CMD(s6, c_write_h_resp_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s6, c_read_h_shared)) | (~m_main_v_CMD(s6, c_write_h_resp_h_invalid)))),
% 50.51/33.18 inference(rewrite,[status(thm)],[])).
% 50.51/33.18 tff(18930,plain,
% 50.51/33.18 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s6, c_read_h_shared)) | (~m_main_v_CMD(s6, c_write_h_resp_h_invalid)))),
% 50.51/33.18 inference(quant_inst,[status(thm)],[])).
% 50.51/33.18 tff(18931,plain,
% 50.51/33.18 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s6, c_read_h_shared)) | (~m_main_v_CMD(s6, c_write_h_resp_h_invalid))),
% 50.51/33.18 inference(modus_ponens,[status(thm)],[18930, 18929])).
% 50.51/33.18 tff(18932,plain,
% 50.51/33.18 (~m_main_v_CMD(s6, c_write_h_resp_h_invalid)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18931, 7915, 14351])).
% 50.51/33.18 tff(18933,plain,
% 50.51/33.18 (~node16(s6)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18753, 3386, 16313])).
% 50.51/33.18 tff(18934,plain,
% 50.51/33.18 (~m_processor_v_master(c_p2, s6)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[14222, 1545, 18933])).
% 50.51/33.18 tff(18935,plain,
% 50.51/33.18 (~node62(c_p2, s6)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[14230, 1493, 18934])).
% 50.51/33.18 tff(18936,plain,
% 50.51/33.18 (~node63(c_p2, s6)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[14267, 1469, 18934])).
% 50.51/33.18 tff(18937,plain,
% 50.51/33.18 (~node64(c_p2, s6)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[14261, 1482, 18934])).
% 50.51/33.18 tff(18938,plain,
% 50.51/33.18 (~node65(c_p2, s6)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[14241, 1457, 18934])).
% 50.51/33.18 tff(18939,plain,
% 50.51/33.18 (~node66(c_p2, s6)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[14255, 1446, 18934])).
% 50.51/33.18 tff(18940,plain,
% 50.51/33.18 (m_processor_v_cmd(c_p2, s6, c_idle)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[14250, 1508, 18939, 18938, 18937, 18936, 18935])).
% 50.51/33.18 tff(18941,plain,
% 50.51/33.18 (~node17(s6)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18764, 3344, 16313])).
% 50.51/33.18 tff(18942,plain,
% 50.51/33.18 (~m_memory_v_master(c_m, s6)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[14299, 1290, 18941])).
% 50.51/33.18 tff(18943,plain,
% 50.51/33.18 (~node29(c_m, s6)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[14291, 1305, 18942])).
% 50.51/33.18 tff(18944,plain,
% 50.51/33.18 (m_memory_v_cmd(c_m, s6, c_idle)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[14283, 1320, 18943])).
% 50.51/33.18 tff(18945,plain,
% 50.51/33.18 (~node9(s6)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18792, 3443, 14148])).
% 50.51/33.18 tff(18946,plain,
% 50.51/33.18 (node9(s6) | (~m_processor_v_cmd(c_p2, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | node10(s6)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18803, 3461, 18659])).
% 50.51/33.18 tff(18947,plain,
% 50.51/33.18 (node10(s6)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18946, 18945, 18944, 18940])).
% 50.51/33.18 tff(18948,plain,
% 50.51/33.18 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)) | m_main_v_CMD(s6, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)) | m_main_v_CMD(s6, c_write_h_resp_h_shared))),
% 50.51/33.18 inference(rewrite,[status(thm)],[])).
% 50.51/33.18 tff(18949,plain,
% 50.51/33.18 ((m_main_v_CMD(s6, c_write_h_resp_h_shared) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared))) <=> ((~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)) | m_main_v_CMD(s6, c_write_h_resp_h_shared))),
% 50.51/33.18 inference(rewrite,[status(thm)],[])).
% 50.51/33.18 tff(18950,plain,
% 50.51/33.18 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s6, c_write_h_resp_h_shared) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)) | m_main_v_CMD(s6, c_write_h_resp_h_shared)))),
% 50.51/33.18 inference(monotonicity,[status(thm)],[18949])).
% 50.51/33.18 tff(18951,plain,
% 50.51/33.18 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s6, c_write_h_resp_h_shared) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)) | m_main_v_CMD(s6, c_write_h_resp_h_shared))),
% 50.51/33.18 inference(transitivity,[status(thm)],[18950, 18948])).
% 50.51/33.18 tff(18952,plain,
% 50.51/33.18 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s6, c_write_h_resp_h_shared) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)))),
% 50.51/33.18 inference(quant_inst,[status(thm)],[])).
% 50.51/33.18 tff(18953,plain,
% 50.51/33.18 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)) | m_main_v_CMD(s6, c_write_h_resp_h_shared)),
% 50.51/33.18 inference(modus_ponens,[status(thm)],[18952, 18951])).
% 50.51/33.18 tff(18954,plain,
% 50.51/33.18 ((~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared))),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18953, 3481, 18434])).
% 50.51/33.18 tff(18955,plain,
% 50.51/33.18 (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18954, 18947])).
% 50.51/33.18 tff(18956,plain,
% 50.51/33.18 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid)) | m_main_v_CMD(s6, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid)) | m_main_v_CMD(s6, c_write_h_resp_h_invalid))),
% 50.51/33.18 inference(rewrite,[status(thm)],[])).
% 50.51/33.18 tff(18957,plain,
% 50.51/33.18 ((m_main_v_CMD(s6, c_write_h_resp_h_invalid) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid))) <=> ((~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid)) | m_main_v_CMD(s6, c_write_h_resp_h_invalid))),
% 50.51/33.18 inference(rewrite,[status(thm)],[])).
% 50.51/33.18 tff(18958,plain,
% 50.51/33.18 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s6, c_write_h_resp_h_invalid) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid)) | m_main_v_CMD(s6, c_write_h_resp_h_invalid)))),
% 50.51/33.18 inference(monotonicity,[status(thm)],[18957])).
% 50.51/33.18 tff(18959,plain,
% 50.51/33.18 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s6, c_write_h_resp_h_invalid) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid)) | m_main_v_CMD(s6, c_write_h_resp_h_invalid))),
% 50.51/33.18 inference(transitivity,[status(thm)],[18958, 18956])).
% 50.51/33.18 tff(18960,plain,
% 50.51/33.18 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s6, c_write_h_resp_h_invalid) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid)))),
% 50.51/33.18 inference(quant_inst,[status(thm)],[])).
% 50.51/33.18 tff(18961,plain,
% 50.51/33.18 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid)) | m_main_v_CMD(s6, c_write_h_resp_h_invalid)),
% 50.51/33.18 inference(modus_ponens,[status(thm)],[18960, 18959])).
% 50.51/33.18 tff(18962,plain,
% 50.51/33.18 ((~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid))),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18961, 3481, 18522])).
% 50.51/33.18 tff(18963,plain,
% 50.51/33.18 (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18962, 18947])).
% 50.51/33.18 tff(18964,plain,
% 50.51/33.18 (~m_processor_v_snoop(c_p1, s6, c_owned)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18885, 18963, 18874, 18872, 16313])).
% 50.51/33.18 tff(18965,plain,
% 50.51/33.18 (~node64(c_p1, s6)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18889, 4082, 18964])).
% 50.51/33.18 tff(18966,plain,
% 50.51/33.18 (~m_processor_v_snoop(c_p1, s6, c_shared)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18897, 18965, 18874, 18872, 16313, 18955])).
% 50.51/33.18 tff(18967,plain,
% 50.51/33.18 (node64(c_p1, s6) | node65(c_p1, s6) | node66(c_p1, s6) | m_processor_v_cmd(c_p1, s6, c_idle)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[14154, 1508, 18872, 18874])).
% 50.51/33.18 tff(18968,plain,
% 50.51/33.18 (node65(c_p1, s6)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18967, 18965, 18867, 14148])).
% 50.51/33.18 tff(18969,plain,
% 50.51/33.18 ($false),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18921, 4107, 18968, 18966])).
% 50.51/33.18 tff(18970,plain,(m_processor_v_cmd(c_p1, s6, c_idle) | node62(c_p1, s6) | (~m_processor_v_master(c_p1, s6)) | (~m_processor_v_state(c_p1, s6, c_owned)) | node66(c_p1, s6) | m_main_v_CMD(s6, c_write_h_resp_h_shared) | m_main_v_CMD(s6, c_write_h_resp_h_invalid) | (~m_processor_v_cmd(c_p0, s6, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.51/33.18 tff(18971,plain,
% 50.51/33.18 ($false),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18970, 18932, 18928, 16313, 18859, 18924, 18761, 18867, 113])).
% 50.51/33.18 tff(18972,plain,((~m_main_v_CMD(s6, c_read_h_shared)) | (~m_processor_v_master(c_p1, s6)) | node66(c_p1, s6) | (~m_processor_v_state(c_p1, s6, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.51/33.18 tff(18973,plain,
% 50.51/33.18 (node66(c_p1, s6)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18972, 14351, 16313, 113])).
% 50.51/33.18 tff(18974,plain,
% 50.51/33.18 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | (m_processor_v_snoop(c_p1, s6, c_invalid) | (~node66(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | m_processor_v_snoop(c_p1, s6, c_invalid) | (~node66(c_p1, s6)))),
% 50.51/33.18 inference(rewrite,[status(thm)],[])).
% 50.51/33.18 tff(18975,plain,
% 50.51/33.18 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | (m_processor_v_snoop(c_p1, s6, c_invalid) | (~node66(c_p1, s6)))),
% 50.51/33.18 inference(quant_inst,[status(thm)],[])).
% 50.51/33.18 tff(18976,plain,
% 50.51/33.18 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | m_processor_v_snoop(c_p1, s6, c_invalid) | (~node66(c_p1, s6))),
% 50.51/33.18 inference(modus_ponens,[status(thm)],[18975, 18974])).
% 50.51/33.18 tff(18977,plain,
% 50.51/33.18 (m_processor_v_snoop(c_p1, s6, c_invalid)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18976, 9118, 18973])).
% 50.51/33.18 tff(18978,plain,
% 50.51/33.18 (~node9(s6)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18794, 18924])).
% 50.51/33.18 tff(18979,plain,
% 50.51/33.18 (node10(s6)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18805, 18978, 18759, 18761, 18770])).
% 50.51/33.18 tff(18980,plain,
% 50.51/33.18 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s6, c_read_h_shared)) | (~m_main_v_CMD(s6, c_write_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s6, c_read_h_shared)) | (~m_main_v_CMD(s6, c_write_h_invalid)))),
% 50.51/33.18 inference(rewrite,[status(thm)],[])).
% 50.51/33.18 tff(18981,plain,
% 50.51/33.18 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s6, c_read_h_shared)) | (~m_main_v_CMD(s6, c_write_h_invalid)))),
% 50.51/33.18 inference(quant_inst,[status(thm)],[])).
% 50.51/33.18 tff(18982,plain,
% 50.51/33.18 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s6, c_read_h_shared)) | (~m_main_v_CMD(s6, c_write_h_invalid))),
% 50.51/33.18 inference(modus_ponens,[status(thm)],[18981, 18980])).
% 50.51/33.18 tff(18983,plain,
% 50.51/33.18 (~m_main_v_CMD(s6, c_write_h_invalid)),
% 50.51/33.18 inference(unit_resolution,[status(thm)],[18982, 8958, 14351])).
% 50.51/33.18 tff(18984,assumption,(m_processor_v_cmd(c_p1, s6, c_write_h_invalid)), introduced(assumption)).
% 50.51/33.18 tff(18985,plain,
% 50.51/33.18 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_invalid)) | m_main_v_CMD(s6, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_invalid)) | m_main_v_CMD(s6, c_write_h_invalid))),
% 50.51/33.18 inference(rewrite,[status(thm)],[])).
% 50.51/33.18 tff(18986,plain,
% 50.51/33.18 ((m_main_v_CMD(s6, c_write_h_invalid) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_invalid))) <=> ((~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_invalid)) | m_main_v_CMD(s6, c_write_h_invalid))),
% 50.51/33.18 inference(rewrite,[status(thm)],[])).
% 50.51/33.18 tff(18987,plain,
% 50.51/33.18 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s6, c_write_h_invalid) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_invalid)) | m_main_v_CMD(s6, c_write_h_invalid)))),
% 50.51/33.19 inference(monotonicity,[status(thm)],[18986])).
% 50.51/33.19 tff(18988,plain,
% 50.51/33.19 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s6, c_write_h_invalid) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_invalid)) | m_main_v_CMD(s6, c_write_h_invalid))),
% 50.51/33.19 inference(transitivity,[status(thm)],[18987, 18985])).
% 50.51/33.19 tff(18989,plain,
% 50.51/33.19 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s6, c_write_h_invalid) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_invalid)))),
% 50.51/33.19 inference(quant_inst,[status(thm)],[])).
% 50.51/33.19 tff(18990,plain,
% 50.51/33.19 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s6)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_invalid)) | m_main_v_CMD(s6, c_write_h_invalid)),
% 50.51/33.19 inference(modus_ponens,[status(thm)],[18989, 18988])).
% 50.51/33.19 tff(18991,plain,
% 50.51/33.19 ($false),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[18990, 3481, 18506, 18816, 18984])).
% 50.51/33.19 tff(18992,plain,((~m_processor_v_cmd(c_p1, s6, c_write_h_invalid)) | m_main_v_CMD(s6, c_write_h_invalid) | (~node10(s6))), inference(lemma,lemma(discharge,[]))).
% 50.51/33.19 tff(18993,plain,
% 50.51/33.19 (~m_processor_v_cmd(c_p1, s6, c_write_h_invalid)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[18992, 18983, 18979])).
% 50.51/33.19 tff(18994,assumption,(m_processor_v_snoop(c_p1, s6, c_invalid)), introduced(assumption)).
% 50.51/33.19 tff(18995,assumption,(~node63(c_p1, s6)), introduced(assumption)).
% 50.51/33.19 tff(18996,assumption,(~m_processor_v_cmd(c_p1, s6, c_write_h_invalid)), introduced(assumption)).
% 50.51/33.19 tff(18997,plain,
% 50.51/33.19 (((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p1, s6, c_invalid)) | (~m_processor_v_snoop(c_p1, s6, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p1, s6, c_invalid)) | (~m_processor_v_snoop(c_p1, s6, c_shared)))),
% 50.51/33.19 inference(rewrite,[status(thm)],[])).
% 50.51/33.19 tff(18998,plain,
% 50.51/33.19 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p1, s6, c_invalid)) | (~m_processor_v_snoop(c_p1, s6, c_shared)))),
% 50.51/33.19 inference(quant_inst,[status(thm)],[])).
% 50.51/33.19 tff(18999,plain,
% 50.51/33.19 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p1, s6, c_invalid)) | (~m_processor_v_snoop(c_p1, s6, c_shared))),
% 50.51/33.19 inference(modus_ponens,[status(thm)],[18998, 18997])).
% 50.51/33.19 tff(19000,plain,
% 50.51/33.19 (~m_processor_v_snoop(c_p1, s6, c_shared)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[18999, 4096, 18994])).
% 50.51/33.19 tff(19001,plain,
% 50.51/33.19 (~node65(c_p1, s6)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[18921, 4107, 19000])).
% 50.51/33.19 tff(19002,plain,
% 50.51/33.19 (((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | ((~m_processor_v_snoop(c_p1, s6, c_invalid)) | (~m_processor_v_snoop(c_p1, s6, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | (~m_processor_v_snoop(c_p1, s6, c_invalid)) | (~m_processor_v_snoop(c_p1, s6, c_owned)))),
% 50.51/33.19 inference(rewrite,[status(thm)],[])).
% 50.51/33.19 tff(19003,plain,
% 50.51/33.19 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | ((~m_processor_v_snoop(c_p1, s6, c_invalid)) | (~m_processor_v_snoop(c_p1, s6, c_owned)))),
% 50.51/33.19 inference(quant_inst,[status(thm)],[])).
% 50.51/33.19 tff(19004,plain,
% 50.51/33.19 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | (~m_processor_v_snoop(c_p1, s6, c_invalid)) | (~m_processor_v_snoop(c_p1, s6, c_owned))),
% 50.51/33.19 inference(modus_ponens,[status(thm)],[19003, 19002])).
% 50.51/33.19 tff(19005,plain,
% 50.51/33.19 (~m_processor_v_snoop(c_p1, s6, c_owned)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[19004, 4071, 18994])).
% 50.51/33.19 tff(19006,plain,
% 50.51/33.19 (~node64(c_p1, s6)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[18889, 4082, 19005])).
% 50.51/33.19 tff(19007,plain,
% 50.51/33.19 ($false),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[18917, 19006, 19001, 16313, 18872, 18996, 18995, 18994])).
% 50.51/33.19 tff(19008,plain,((~m_processor_v_snoop(c_p1, s6, c_invalid)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | m_processor_v_cmd(c_p1, s6, c_write_h_invalid) | node63(c_p1, s6) | (~m_processor_v_state(c_p1, s6, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.51/33.19 tff(19009,plain,
% 50.51/33.19 ($false),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[19008, 18993, 18977, 16313, 113, 18866, 18859])).
% 50.51/33.19 tff(19010,plain,((~m_main_v_CMD(s6, c_read_h_shared)) | (~m_processor_v_master(c_p1, s6)) | (~m_processor_v_state(c_p1, s6, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.51/33.19 tff(19011,plain,
% 50.51/33.19 (~m_main_v_CMD(s6, c_read_h_shared)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[19010, 18853, 18750])).
% 50.51/33.19 tff(19012,plain,
% 50.51/33.19 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s6, c_read_h_shared) | (~node3(s6)) | (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s6, c_read_h_shared) | (~node3(s6)) | (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)))),
% 50.51/33.19 inference(rewrite,[status(thm)],[])).
% 50.51/33.19 tff(19013,plain,
% 50.51/33.19 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s6, c_read_h_shared) | (~node3(s6)) | (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)))),
% 50.51/33.19 inference(quant_inst,[status(thm)],[])).
% 50.51/33.19 tff(19014,plain,
% 50.51/33.19 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s6, c_read_h_shared) | (~node3(s6)) | (~m_processor_v_CMD(c_p1, s6, c_read_h_shared))),
% 50.51/33.19 inference(modus_ponens,[status(thm)],[19013, 19012])).
% 50.51/33.19 tff(19015,plain,
% 50.51/33.19 ($false),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[19014, 1260, 16246, 14317, 18364])).
% 50.51/33.19 tff(19016,plain,((~m_processor_v_CMD(c_p1, s6, c_read_h_shared)) | m_main_v_CMD(s6, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.19 tff(19017,plain,
% 50.51/33.19 (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[19016, 19011])).
% 50.51/33.19 tff(19018,assumption,(node47(c_p1, s6)), introduced(assumption)).
% 50.51/33.19 tff(19019,plain,
% 50.51/33.19 ($false),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[18846, 657, 18371, 19018])).
% 50.51/33.19 tff(19020,plain,((~node47(c_p1, s6)) | m_processor_v_CMD(c_p1, s6, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.19 tff(19021,plain,
% 50.51/33.19 (~node47(c_p1, s6)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[19020, 19017])).
% 50.51/33.19 tff(19022,plain,
% 50.51/33.19 (~node32(c_p1, s5, s6)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[566, 18852, 53, 1])).
% 50.51/33.19 tff(19023,plain,
% 50.51/33.19 (~m_processor_v_abort(c_p1, s5)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[250, 19022])).
% 50.51/33.19 tff(19024,plain,
% 50.51/33.19 (m_processor_v_CMD(c_p1, s5, c_read_h_owned)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[629, 18852, 53, 1])).
% 50.51/33.19 tff(19025,plain,
% 50.51/33.19 (m_processor_v_master(c_p1, s5)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[531, 18853, 53, 1])).
% 50.51/33.19 tff(19026,plain,
% 50.51/33.19 (node34(c_p1, s5, s6)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[617, 18852, 53, 1])).
% 50.51/33.19 tff(19027,plain,
% 50.51/33.19 (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[422, 416, 1, 19026])).
% 50.51/33.19 tff(19028,plain,
% 50.51/33.19 (~node47(c_p1, s5)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[662, 19027])).
% 50.51/33.19 tff(19029,plain,
% 50.51/33.19 (m_processor_v_waiting(c_p1, s6)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[647, 19028, 19025, 19024, 19023])).
% 50.51/33.19 tff(19030,plain,
% 50.51/33.19 (~node52(c_p1, s6, s7)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[18307, 19029, 18174])).
% 50.51/33.19 tff(19031,plain,
% 50.51/33.19 (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[18842, 13406, 16313, 18699, 18174])).
% 50.51/33.19 tff(19032,plain,
% 50.51/33.19 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | ((~m_processor_v_master(c_p1, s6)) | (~node51(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | (~m_processor_v_master(c_p1, s6)) | (~node51(c_p1, s6)))),
% 50.51/33.19 inference(rewrite,[status(thm)],[])).
% 50.51/33.19 tff(19033,plain,
% 50.51/33.19 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | ((~m_processor_v_master(c_p1, s6)) | (~node51(c_p1, s6)))),
% 50.51/33.19 inference(quant_inst,[status(thm)],[])).
% 50.51/33.19 tff(19034,plain,
% 50.51/33.19 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | (~m_processor_v_master(c_p1, s6)) | (~node51(c_p1, s6))),
% 50.51/33.19 inference(modus_ponens,[status(thm)],[19033, 19032])).
% 50.51/33.19 tff(19035,plain,
% 50.51/33.19 (~node51(c_p1, s6)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[19034, 16894, 16313])).
% 50.51/33.19 tff(19036,plain,
% 50.51/33.19 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | ((~m_processor_v_master(c_p1, s6)) | (~node49(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | (~m_processor_v_master(c_p1, s6)) | (~node49(c_p1, s6)))),
% 50.51/33.19 inference(rewrite,[status(thm)],[])).
% 50.51/33.19 tff(19037,plain,
% 50.51/33.19 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | ((~m_processor_v_master(c_p1, s6)) | (~node49(c_p1, s6)))),
% 50.51/33.19 inference(quant_inst,[status(thm)],[])).
% 50.51/33.19 tff(19038,plain,
% 50.51/33.19 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | (~m_processor_v_master(c_p1, s6)) | (~node49(c_p1, s6))),
% 50.51/33.19 inference(modus_ponens,[status(thm)],[19037, 19036])).
% 50.51/33.19 tff(19039,plain,
% 50.51/33.19 (~node49(c_p1, s6)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[19038, 16755, 16313])).
% 50.51/33.19 tff(19040,plain,
% 50.51/33.19 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | ((~m_processor_v_master(c_p1, s6)) | (~node50(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | (~m_processor_v_master(c_p1, s6)) | (~node50(c_p1, s6)))),
% 50.51/33.19 inference(rewrite,[status(thm)],[])).
% 50.51/33.19 tff(19041,plain,
% 50.51/33.19 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | ((~m_processor_v_master(c_p1, s6)) | (~node50(c_p1, s6)))),
% 50.51/33.19 inference(quant_inst,[status(thm)],[])).
% 50.51/33.19 tff(19042,plain,
% 50.51/33.19 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | (~m_processor_v_master(c_p1, s6)) | (~node50(c_p1, s6))),
% 50.51/33.19 inference(modus_ponens,[status(thm)],[19041, 19040])).
% 50.51/33.19 tff(19043,plain,
% 50.51/33.19 (~node50(c_p1, s6)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[19042, 16866, 16313])).
% 50.51/33.19 tff(19044,plain,
% 50.51/33.19 (node48(c_p1, s6)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[18726, 13406, 19043, 19039, 18697, 18699, 19035])).
% 50.51/33.19 tff(19045,assumption,(node48(c_p1, s6)), introduced(assumption)).
% 50.51/33.19 tff(19046,plain,
% 50.51/33.19 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p1, s6, c_read_h_owned) | (~node48(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | (~node48(c_p1, s6)))),
% 50.51/33.19 inference(rewrite,[status(thm)],[])).
% 50.51/33.19 tff(19047,plain,
% 50.51/33.19 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p1, s6, c_read_h_owned) | (~node48(c_p1, s6)))),
% 50.51/33.19 inference(quant_inst,[status(thm)],[])).
% 50.51/33.19 tff(19048,plain,
% 50.51/33.19 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | (~node48(c_p1, s6))),
% 50.51/33.19 inference(modus_ponens,[status(thm)],[19047, 19046])).
% 50.51/33.19 tff(19049,plain,
% 50.51/33.19 ($false),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[19048, 16883, 13522, 19045])).
% 50.51/33.19 tff(19050,plain,((~node48(c_p1, s6)) | m_processor_v_CMD(c_p1, s6, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.19 tff(19051,plain,
% 50.51/33.19 ($false),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[19050, 19044, 19031])).
% 50.51/33.19 tff(19052,plain,(m_processor_v_abort(c_p1, s6) | node52(c_p1, s6, s7) | node47(c_p1, s6) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_waiting(c_p1, s7)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.19 tff(19053,plain,
% 50.51/33.19 (m_processor_v_abort(c_p1, s6)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[19052, 19030, 19021, 18750, 18174])).
% 50.51/33.19 tff(19054,plain,
% 50.51/33.19 (node46(c_p1, s6, s7)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[18740, 19053])).
% 50.51/33.19 tff(19055,plain,
% 50.51/33.19 ($false),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[18747, 11708, 18174, 19029, 19054])).
% 50.51/33.19 tff(19056,plain,(m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_waiting(c_p1, s7) | m_processor_v_state(c_p1, s5, c_owned) | (~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_state(c_p0, s7, c_invalid) | m_processor_v_waiting(c_p0, s7) | (~m_processor_v_state(c_p1, s7, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.51/33.19 tff(19057,plain,
% 50.51/33.19 (m_processor_v_state(c_p1, s6, c_shared)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[19056, 18173, 53, 785, 18167, 18166, 18164, 13435])).
% 50.51/33.19 tff(19058,plain,
% 50.51/33.19 (m_processor_v_state(c_p1, s7, c_invalid)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[13580, 13521, 114, 13405])).
% 50.51/33.19 tff(19059,plain,
% 50.51/33.19 ($false),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[13403, 137, 13435, 19058])).
% 50.51/33.19 tff(19060,plain,((~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_master(c_p1, s6)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.19 tff(19061,plain,
% 50.51/33.19 (m_processor_v_master(c_p1, s6)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[19060, 19057, 13435])).
% 50.51/33.19 tff(19062,plain,
% 50.51/33.19 (~m_processor_v_state(c_p1, s6, c_invalid)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[18851, 19061, 13436, 18173])).
% 50.51/33.19 tff(19063,plain,
% 50.51/33.19 (~node62(c_p1, s6)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[18858, 19062])).
% 50.51/33.19 tff(19064,assumption,(~m_processor_v_cmd(c_p1, s6, c_read_h_owned)), introduced(assumption)).
% 50.51/33.19 tff(19065,plain,
% 50.51/33.19 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | ((~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_cmd(c_p1, s6, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_cmd(c_p1, s6, c_read_h_owned))),
% 50.51/33.19 inference(rewrite,[status(thm)],[])).
% 50.51/33.19 tff(19066,plain,
% 50.51/33.19 ((m_processor_v_cmd(c_p1, s6, c_read_h_owned) | (~m_processor_v_state(c_p1, s6, c_shared)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6)) <=> ((~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_cmd(c_p1, s6, c_read_h_owned))),
% 50.51/33.19 inference(rewrite,[status(thm)],[])).
% 50.51/33.19 tff(19067,plain,
% 50.51/33.19 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p1, s6, c_read_h_owned) | (~m_processor_v_state(c_p1, s6, c_shared)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | ((~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_cmd(c_p1, s6, c_read_h_owned)))),
% 50.51/33.19 inference(monotonicity,[status(thm)],[19066])).
% 50.51/33.19 tff(19068,plain,
% 50.51/33.19 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p1, s6, c_read_h_owned) | (~m_processor_v_state(c_p1, s6, c_shared)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_cmd(c_p1, s6, c_read_h_owned))),
% 50.51/33.19 inference(transitivity,[status(thm)],[19067, 19065])).
% 50.51/33.19 tff(19069,plain,
% 50.51/33.19 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p1, s6, c_read_h_owned) | (~m_processor_v_state(c_p1, s6, c_shared)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6))),
% 50.51/33.19 inference(quant_inst,[status(thm)],[])).
% 50.51/33.19 tff(19070,plain,
% 50.51/33.19 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_cmd(c_p1, s6, c_read_h_owned)),
% 50.51/33.19 inference(modus_ponens,[status(thm)],[19069, 19068])).
% 50.51/33.19 tff(19071,plain,
% 50.51/33.19 ($false),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[19070, 1650, 114, 16313, 18872, 19064])).
% 50.51/33.19 tff(19072,plain,((~m_processor_v_state(c_p1, s6, c_shared)) | (~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | m_processor_v_cmd(c_p1, s6, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.19 tff(19073,plain,
% 50.51/33.19 (m_processor_v_cmd(c_p1, s6, c_read_h_owned)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[19072, 19063, 19061, 19057])).
% 50.51/33.19 tff(19074,plain,
% 50.51/33.19 (~node32(c_p1, s6, s7)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[13531, 19057, 13521])).
% 50.51/33.19 tff(19075,plain,
% 50.51/33.19 (~m_processor_v_abort(c_p1, s6)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[13472, 19074])).
% 50.51/33.19 tff(19076,plain,
% 50.51/33.19 (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[18813, 19075, 19061, 18173])).
% 50.51/33.19 tff(19077,plain,
% 50.51/33.19 (~node47(c_p1, s6)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[19020, 19076])).
% 50.51/33.19 tff(19078,plain,
% 50.51/33.19 (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[18842, 19077, 19061, 19075, 18173])).
% 50.51/33.19 tff(19079,plain,
% 50.51/33.19 (~m_main_v_CMD(s6, c_read_h_owned)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[16254, 19078])).
% 50.51/33.19 tff(19080,plain,
% 50.51/33.19 (~node17(s6)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[18766, 19061])).
% 50.51/33.19 tff(19081,plain,
% 50.51/33.19 (~m_memory_v_master(c_m, s6)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[14301, 19080])).
% 50.51/33.19 tff(19082,plain,
% 50.51/33.19 (~node29(c_m, s6)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[14293, 19081])).
% 50.51/33.19 tff(19083,plain,
% 50.51/33.19 (m_memory_v_cmd(c_m, s6, c_idle)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[14285, 19082])).
% 50.51/33.19 tff(19084,plain,
% 50.51/33.19 (~m_processor_v_master(c_p0, s6)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[16318, 19061])).
% 50.51/33.19 tff(19085,plain,
% 50.51/33.19 (m_processor_v_cmd(c_p0, s6, c_idle)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[18577, 19084])).
% 50.51/33.19 tff(19086,plain,
% 50.51/33.19 (~node16(s6)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[18755, 19061])).
% 50.51/33.19 tff(19087,plain,
% 50.51/33.19 (~m_processor_v_master(c_p2, s6)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[14224, 19086])).
% 50.51/33.19 tff(19088,plain,
% 50.51/33.19 (~node62(c_p2, s6)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[14232, 19087])).
% 50.51/33.19 tff(19089,plain,
% 50.51/33.19 (m_processor_v_cmd(c_p2, s6, c_idle)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[14269, 19087, 19088])).
% 50.51/33.19 tff(19090,assumption,(m_processor_v_cmd(c_p1, s6, c_read_h_owned)), introduced(assumption)).
% 50.51/33.19 tff(19091,plain,
% 50.51/33.19 ($false),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[18773, 3189, 14207, 19090])).
% 50.51/33.19 tff(19092,plain,((~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_cmd(c_p1, s6, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 50.51/33.19 tff(19093,plain,
% 50.51/33.19 (~m_processor_v_cmd(c_p1, s6, c_idle)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[19092, 19073])).
% 50.51/33.19 tff(19094,plain,
% 50.51/33.19 (~node9(s6)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[18794, 19093])).
% 50.51/33.19 tff(19095,plain,
% 50.51/33.19 (node10(s6)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[18805, 19094, 19089, 19085, 19083])).
% 50.51/33.19 tff(19096,plain,
% 50.51/33.19 ($false),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[18831, 3481, 14208, 18816, 19090])).
% 50.51/33.19 tff(19097,plain,((~m_processor_v_cmd(c_p1, s6, c_read_h_owned)) | m_main_v_CMD(s6, c_read_h_owned) | (~node10(s6))), inference(lemma,lemma(discharge,[]))).
% 50.51/33.19 tff(19098,plain,
% 50.51/33.19 ($false),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[19097, 19095, 19079, 19073])).
% 50.51/33.19 tff(19099,plain,((~node67(s7)) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_state(c_p1, s5, c_owned) | (~m_processor_v_state(c_p0, s6, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.51/33.19 tff(19100,plain,
% 50.51/33.19 (~node67(s7)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[19099, 18161, 18160, 53])).
% 50.51/33.19 tff(19101,plain,
% 50.51/33.19 (node67(s8)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[13017, 19100, 5949, 53, 683])).
% 50.51/33.19 tff(19102,plain,
% 50.51/33.19 (m_processor_v_writable(c_p0, s8)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[12500, 19101])).
% 50.51/33.19 tff(19103,plain,
% 50.51/33.19 (node56(c_p0, s8)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[12508, 19102])).
% 50.51/33.19 tff(19104,plain,
% 50.51/33.19 (~m_processor_v_waiting(c_p0, s8)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[14420, 19103])).
% 50.51/33.19 tff(19105,plain,
% 50.51/33.19 ($false),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[14035, 121, 272, 13853])).
% 50.51/33.19 tff(19106,plain,((~m_processor_v_state(c_p1, s5, c_shared)) | (~m_processor_v_state(c_p1, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.51/33.19 tff(19107,plain,
% 50.51/33.19 (~m_processor_v_state(c_p1, s5, c_shared)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[19106, 13853])).
% 50.51/33.19 tff(19108,plain,
% 50.51/33.19 (node67(s5)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[6251, 13509, 5932, 5949, 13512, 5668, 5667])).
% 50.51/33.19 tff(19109,plain,
% 50.51/33.19 (m_processor_v_writable(c_p1, s5)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[103, 19108])).
% 50.51/33.19 tff(19110,plain,
% 50.51/33.19 (node56(c_p1, s5)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[88, 19109])).
% 50.51/33.19 tff(19111,assumption,(m_processor_v_waiting(c_p1, s5)), introduced(assumption)).
% 50.51/33.19 tff(19112,plain,
% 50.51/33.19 (((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p1, s5)) | (~node56(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p1, s5)) | (~node56(c_p1, s5)))),
% 50.51/33.19 inference(rewrite,[status(thm)],[])).
% 50.51/33.19 tff(19113,plain,
% 50.51/33.19 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p1, s5)) | (~node56(c_p1, s5)))),
% 50.51/33.19 inference(quant_inst,[status(thm)],[])).
% 50.51/33.19 tff(19114,plain,
% 50.51/33.19 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p1, s5)) | (~node56(c_p1, s5))),
% 50.51/33.19 inference(modus_ponens,[status(thm)],[19113, 19112])).
% 50.51/33.19 tff(19115,plain,
% 50.51/33.19 ($false),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[19114, 540, 75, 19111])).
% 50.51/33.19 tff(19116,plain,((~m_processor_v_waiting(c_p1, s5)) | (~node56(c_p1, s5))), inference(lemma,lemma(discharge,[]))).
% 50.51/33.19 tff(19117,plain,
% 50.51/33.19 (~m_processor_v_waiting(c_p1, s5)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[19116, 19110])).
% 50.51/33.19 tff(19118,assumption,(node37(c_p1, s4, s5)), introduced(assumption)).
% 50.51/33.19 tff(19119,plain,
% 50.51/33.19 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s4, c_owned) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~node37(c_p1, s4, s5)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s4, c_owned) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~node37(c_p1, s4, s5)))),
% 50.51/33.19 inference(rewrite,[status(thm)],[])).
% 50.51/33.19 tff(19120,plain,
% 50.51/33.19 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s4, c_owned) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~node37(c_p1, s4, s5)))),
% 50.51/33.19 inference(quant_inst,[status(thm)],[])).
% 50.51/33.19 tff(19121,plain,
% 50.51/33.19 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s4, c_owned) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~node37(c_p1, s4, s5))),
% 50.51/33.19 inference(modus_ponens,[status(thm)],[19120, 19119])).
% 50.51/33.19 tff(19122,plain,
% 50.51/33.19 ($false),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[19121, 182, 6576, 19118, 13853])).
% 50.51/33.19 tff(19123,plain,((~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p1, s4, c_owned) | (~node37(c_p1, s4, s5))), inference(lemma,lemma(discharge,[]))).
% 50.51/33.19 tff(19124,plain,
% 50.51/33.19 (~node37(c_p1, s4, s5)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[19123, 6576, 13853])).
% 50.51/33.19 tff(19125,plain,
% 50.51/33.19 (m_processor_v_abort(c_p1, s4)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[6842, 19124, 6657, 1439])).
% 50.51/33.19 tff(19126,plain,
% 50.51/33.19 (node32(c_p1, s4, s5)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[6859, 19125])).
% 50.51/33.19 tff(19127,plain,
% 50.51/33.19 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p1, s4, s5)) | m_processor_v_state(c_p1, s4, c_owned) | (~m_processor_v_state(c_p1, s5, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (~node32(c_p1, s4, s5)) | m_processor_v_state(c_p1, s4, c_owned) | (~m_processor_v_state(c_p1, s5, c_owned)))),
% 50.51/33.19 inference(rewrite,[status(thm)],[])).
% 50.51/33.19 tff(19128,plain,
% 50.51/33.19 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p1, s4, s5)) | m_processor_v_state(c_p1, s4, c_owned) | (~m_processor_v_state(c_p1, s5, c_owned)))),
% 50.51/33.19 inference(quant_inst,[status(thm)],[])).
% 50.51/33.19 tff(19129,plain,
% 50.51/33.19 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (~node32(c_p1, s4, s5)) | m_processor_v_state(c_p1, s4, c_owned) | (~m_processor_v_state(c_p1, s5, c_owned))),
% 50.51/33.19 inference(modus_ponens,[status(thm)],[19128, 19127])).
% 50.51/33.19 tff(19130,plain,
% 50.51/33.19 ($false),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[19129, 261, 6576, 19126, 13853])).
% 50.51/33.19 tff(19131,plain,(m_processor_v_state(c_p1, s4, c_owned) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_master(c_p1, s4)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.19 tff(19132,plain,
% 50.51/33.19 (m_processor_v_state(c_p1, s4, c_owned)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[19131, 1439, 13853, 6657])).
% 50.51/33.19 tff(19133,plain,
% 50.51/33.19 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[6599, 137, 19132])).
% 50.51/33.19 tff(19134,plain,
% 50.51/33.19 (~m_processor_v_state(c_p1, s5, c_invalid)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[13858, 13853])).
% 50.51/33.19 tff(19135,plain,
% 50.51/33.19 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s4, s5)) | (~m_processor_v_state(c_p1, s4, c_shared)) | m_processor_v_state(c_p1, s5, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~node32(c_p1, s4, s5)) | (~m_processor_v_state(c_p1, s4, c_shared)) | m_processor_v_state(c_p1, s5, c_shared))),
% 50.51/33.19 inference(rewrite,[status(thm)],[])).
% 50.51/33.19 tff(19136,plain,
% 50.51/33.19 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s4, s5)) | (~m_processor_v_state(c_p1, s4, c_shared)) | m_processor_v_state(c_p1, s5, c_shared))),
% 50.51/33.19 inference(quant_inst,[status(thm)],[])).
% 50.51/33.19 tff(19137,plain,
% 50.51/33.19 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~node32(c_p1, s4, s5)) | (~m_processor_v_state(c_p1, s4, c_shared)) | m_processor_v_state(c_p1, s5, c_shared)),
% 50.51/33.19 inference(modus_ponens,[status(thm)],[19136, 19135])).
% 50.51/33.19 tff(19138,plain,
% 50.51/33.19 ($false),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[19137, 380, 17369, 160, 12544])).
% 50.51/33.19 tff(19139,plain,((~m_processor_v_state(c_p1, s4, c_shared)) | m_processor_v_state(c_p1, s5, c_shared) | (~node32(c_p1, s4, s5))), inference(lemma,lemma(discharge,[]))).
% 50.51/33.19 tff(19140,plain,
% 50.51/33.19 (~node32(c_p1, s4, s5)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[19139, 17369, 160])).
% 50.51/33.19 tff(19141,plain,
% 50.51/33.19 (~m_processor_v_abort(c_p1, s4)),
% 50.51/33.19 inference(unit_resolution,[status(thm)],[6859, 19140])).
% 50.51/33.19 tff(19142,plain,
% 50.51/33.19 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p1, s4) | m_processor_v_master(c_p1, s4) | (~m_processor_v_state(c_p1, s4, c_shared)) | m_processor_v_abort(c_p1, s4) | m_processor_v_state(c_p1, s5, c_invalid) | (~node38(c_p1, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p1, s4) | m_processor_v_master(c_p1, s4) | (~m_processor_v_state(c_p1, s4, c_shared)) | m_processor_v_abort(c_p1, s4) | m_processor_v_state(c_p1, s5, c_invalid) | (~node38(c_p1, s4, s5)))),
% 50.51/33.19 inference(rewrite,[status(thm)],[])).
% 50.51/33.19 tff(19143,plain,
% 50.51/33.19 (((~m_processor_v_state(c_p1, s4, c_shared)) | m_processor_v_master(c_p1, s4) | node35(c_p1, s4) | m_processor_v_state(c_p1, s5, c_invalid) | (~node38(c_p1, s4, s5)) | m_processor_v_abort(c_p1, s4)) <=> (node35(c_p1, s4) | m_processor_v_master(c_p1, s4) | (~m_processor_v_state(c_p1, s4, c_shared)) | m_processor_v_abort(c_p1, s4) | m_processor_v_state(c_p1, s5, c_invalid) | (~node38(c_p1, s4, s5)))),
% 50.51/33.19 inference(rewrite,[status(thm)],[])).
% 50.51/33.19 tff(19144,plain,
% 50.51/33.19 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s4, c_shared)) | m_processor_v_master(c_p1, s4) | node35(c_p1, s4) | m_processor_v_state(c_p1, s5, c_invalid) | (~node38(c_p1, s4, s5)) | m_processor_v_abort(c_p1, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node35(c_p1, s4) | m_processor_v_master(c_p1, s4) | (~m_processor_v_state(c_p1, s4, c_shared)) | m_processor_v_abort(c_p1, s4) | m_processor_v_state(c_p1, s5, c_invalid) | (~node38(c_p1, s4, s5))))),
% 50.51/33.19 inference(monotonicity,[status(thm)],[19143])).
% 50.51/33.19 tff(19145,plain,
% 50.51/33.19 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s4, c_shared)) | m_processor_v_master(c_p1, s4) | node35(c_p1, s4) | m_processor_v_state(c_p1, s5, c_invalid) | (~node38(c_p1, s4, s5)) | m_processor_v_abort(c_p1, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p1, s4) | m_processor_v_master(c_p1, s4) | (~m_processor_v_state(c_p1, s4, c_shared)) | m_processor_v_abort(c_p1, s4) | m_processor_v_state(c_p1, s5, c_invalid) | (~node38(c_p1, s4, s5)))),
% 50.51/33.19 inference(transitivity,[status(thm)],[19144, 19142])).
% 50.51/33.19 tff(19146,plain,
% 50.51/33.19 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s4, c_shared)) | m_processor_v_master(c_p1, s4) | node35(c_p1, s4) | m_processor_v_state(c_p1, s5, c_invalid) | (~node38(c_p1, s4, s5)) | m_processor_v_abort(c_p1, s4))),
% 50.51/33.19 inference(quant_inst,[status(thm)],[])).
% 50.51/33.19 tff(19147,plain,
% 50.51/33.19 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | node35(c_p1, s4) | m_processor_v_master(c_p1, s4) | (~m_processor_v_state(c_p1, s4, c_shared)) | m_processor_v_abort(c_p1, s4) | m_processor_v_state(c_p1, s5, c_invalid) | (~node38(c_p1, s4, s5))),
% 50.51/33.20 inference(modus_ponens,[status(thm)],[19146, 19145])).
% 50.51/33.20 tff(19148,plain,
% 50.51/33.20 (node35(c_p1, s4) | m_processor_v_master(c_p1, s4) | (~m_processor_v_state(c_p1, s4, c_shared)) | m_processor_v_abort(c_p1, s4) | m_processor_v_state(c_p1, s5, c_invalid)),
% 50.51/33.20 inference(unit_resolution,[status(thm)],[19147, 301, 6829])).
% 50.51/33.20 tff(19149,plain,
% 50.51/33.20 (node35(c_p1, s4)),
% 50.51/33.20 inference(unit_resolution,[status(thm)],[19148, 1439, 559, 17369, 19141])).
% 50.51/33.20 tff(19150,plain,
% 50.51/33.20 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~node35(c_p1, s4)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~node35(c_p1, s4)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)))),
% 50.51/33.20 inference(rewrite,[status(thm)],[])).
% 50.51/33.20 tff(19151,plain,
% 50.51/33.20 (((~m_processor_v_CMD(c_p1, s4, c_read_h_owned)) | (~node35(c_p1, s4))) <=> ((~node35(c_p1, s4)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)))),
% 50.51/33.20 inference(rewrite,[status(thm)],[])).
% 50.51/33.20 tff(19152,plain,
% 50.51/33.20 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s4, c_read_h_owned)) | (~node35(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~node35(c_p1, s4)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned))))),
% 50.51/33.20 inference(monotonicity,[status(thm)],[19151])).
% 50.51/33.20 tff(19153,plain,
% 50.51/33.20 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s4, c_read_h_owned)) | (~node35(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~node35(c_p1, s4)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)))),
% 50.51/33.20 inference(transitivity,[status(thm)],[19152, 19150])).
% 50.51/33.20 tff(19154,plain,
% 50.51/33.20 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s4, c_read_h_owned)) | (~node35(c_p1, s4)))),
% 50.51/33.20 inference(quant_inst,[status(thm)],[])).
% 50.51/33.20 tff(19155,plain,
% 50.51/33.20 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~node35(c_p1, s4)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned))),
% 50.51/33.20 inference(modus_ponens,[status(thm)],[19154, 19153])).
% 50.51/33.20 tff(19156,plain,
% 50.51/33.20 (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 50.51/33.20 inference(unit_resolution,[status(thm)],[19155, 316, 19149])).
% 50.51/33.20 tff(19157,plain,
% 50.51/33.20 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~node35(c_p1, s4)) | (~m_processor_v_CMD(c_p1, s4, c_invalidate)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~node35(c_p1, s4)) | (~m_processor_v_CMD(c_p1, s4, c_invalidate)))),
% 50.51/33.20 inference(rewrite,[status(thm)],[])).
% 50.51/33.20 tff(19158,plain,
% 50.51/33.20 (((~m_processor_v_CMD(c_p1, s4, c_invalidate)) | (~node35(c_p1, s4))) <=> ((~node35(c_p1, s4)) | (~m_processor_v_CMD(c_p1, s4, c_invalidate)))),
% 50.51/33.20 inference(rewrite,[status(thm)],[])).
% 50.51/33.20 tff(19159,plain,
% 50.51/33.20 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s4, c_invalidate)) | (~node35(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~node35(c_p1, s4)) | (~m_processor_v_CMD(c_p1, s4, c_invalidate))))),
% 50.51/33.20 inference(monotonicity,[status(thm)],[19158])).
% 50.51/33.20 tff(19160,plain,
% 50.51/33.20 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s4, c_invalidate)) | (~node35(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~node35(c_p1, s4)) | (~m_processor_v_CMD(c_p1, s4, c_invalidate)))),
% 50.51/33.20 inference(transitivity,[status(thm)],[19159, 19157])).
% 50.51/33.20 tff(19161,plain,
% 50.51/33.20 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p1, s4, c_invalidate)) | (~node35(c_p1, s4)))),
% 50.51/33.20 inference(quant_inst,[status(thm)],[])).
% 50.51/33.20 tff(19162,plain,
% 50.51/33.20 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~node35(c_p1, s4)) | (~m_processor_v_CMD(c_p1, s4, c_invalidate))),
% 50.51/33.20 inference(modus_ponens,[status(thm)],[19161, 19160])).
% 50.51/33.20 tff(19163,plain,
% 50.51/33.20 (~m_processor_v_CMD(c_p1, s4, c_invalidate)),
% 50.51/33.20 inference(unit_resolution,[status(thm)],[19162, 327, 19149])).
% 50.51/33.20 tff(19164,plain,
% 50.51/33.20 (~node32(c_p1, s4, s5)),
% 50.51/33.20 inference(unit_resolution,[status(thm)],[19139, 160, 17369])).
% 50.51/33.20 tff(19165,assumption,(~node36(c_p1, s4)), introduced(assumption)).
% 50.51/33.20 tff(19166,plain,
% 50.51/33.20 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s4) | (~m_processor_v_state(c_p1, s4, c_shared)) | node36(c_p1, s4) | m_processor_v_abort(c_p1, s4) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_state(c_p1, s5, c_invalid) | (~node38(c_p1, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s4) | (~m_processor_v_state(c_p1, s4, c_shared)) | node36(c_p1, s4) | m_processor_v_abort(c_p1, s4) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_state(c_p1, s5, c_invalid) | (~node38(c_p1, s4, s5)))),
% 50.51/33.20 inference(rewrite,[status(thm)],[])).
% 50.51/33.20 tff(19167,plain,
% 50.51/33.20 (((~m_processor_v_state(c_p1, s4, c_shared)) | node36(c_p1, s4) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_master(c_p1, s4) | m_processor_v_state(c_p1, s5, c_invalid) | (~node38(c_p1, s4, s5)) | m_processor_v_abort(c_p1, s4)) <=> (m_processor_v_master(c_p1, s4) | (~m_processor_v_state(c_p1, s4, c_shared)) | node36(c_p1, s4) | m_processor_v_abort(c_p1, s4) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_state(c_p1, s5, c_invalid) | (~node38(c_p1, s4, s5)))),
% 50.51/33.20 inference(rewrite,[status(thm)],[])).
% 50.51/33.20 tff(19168,plain,
% 50.51/33.20 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s4, c_shared)) | node36(c_p1, s4) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_master(c_p1, s4) | m_processor_v_state(c_p1, s5, c_invalid) | (~node38(c_p1, s4, s5)) | m_processor_v_abort(c_p1, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p1, s4) | (~m_processor_v_state(c_p1, s4, c_shared)) | node36(c_p1, s4) | m_processor_v_abort(c_p1, s4) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_state(c_p1, s5, c_invalid) | (~node38(c_p1, s4, s5))))),
% 50.51/33.20 inference(monotonicity,[status(thm)],[19167])).
% 50.51/33.20 tff(19169,plain,
% 50.51/33.20 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s4, c_shared)) | node36(c_p1, s4) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_master(c_p1, s4) | m_processor_v_state(c_p1, s5, c_invalid) | (~node38(c_p1, s4, s5)) | m_processor_v_abort(c_p1, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s4) | (~m_processor_v_state(c_p1, s4, c_shared)) | node36(c_p1, s4) | m_processor_v_abort(c_p1, s4) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_state(c_p1, s5, c_invalid) | (~node38(c_p1, s4, s5)))),
% 50.51/33.20 inference(transitivity,[status(thm)],[19168, 19166])).
% 50.51/33.20 tff(19170,plain,
% 50.51/33.20 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p1, s4, c_shared)) | node36(c_p1, s4) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_master(c_p1, s4) | m_processor_v_state(c_p1, s5, c_invalid) | (~node38(c_p1, s4, s5)) | m_processor_v_abort(c_p1, s4))),
% 50.51/33.20 inference(quant_inst,[status(thm)],[])).
% 50.51/33.20 tff(19171,plain,
% 50.51/33.20 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p1, s4) | (~m_processor_v_state(c_p1, s4, c_shared)) | node36(c_p1, s4) | m_processor_v_abort(c_p1, s4) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_state(c_p1, s5, c_invalid) | (~node38(c_p1, s4, s5))),
% 50.51/33.20 inference(modus_ponens,[status(thm)],[19170, 19169])).
% 50.51/33.20 tff(19172,plain,
% 50.51/33.20 (m_processor_v_master(c_p1, s4) | (~m_processor_v_state(c_p1, s4, c_shared)) | node36(c_p1, s4) | m_processor_v_abort(c_p1, s4) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_state(c_p1, s5, c_invalid)),
% 50.51/33.20 inference(unit_resolution,[status(thm)],[19171, 341, 6829])).
% 50.51/33.20 tff(19173,plain,
% 50.51/33.20 (m_processor_v_abort(c_p1, s4)),
% 50.51/33.20 inference(unit_resolution,[status(thm)],[19172, 160, 19165, 17369, 559, 1439])).
% 50.51/33.20 tff(19174,plain,
% 50.51/33.20 ($false),
% 50.51/33.20 inference(unit_resolution,[status(thm)],[6859, 19173, 19164])).
% 50.51/33.20 tff(19175,plain,(m_processor_v_state(c_p1, s5, c_shared) | node36(c_p1, s4) | (~m_processor_v_state(c_p1, s4, c_shared)) | m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_master(c_p1, s4)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.20 tff(19176,plain,
% 50.51/33.20 (node36(c_p1, s4)),
% 50.51/33.20 inference(unit_resolution,[status(thm)],[19175, 1439, 160, 559, 17369])).
% 50.51/33.20 tff(19177,plain,
% 50.51/33.20 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s4, c_read_h_owned) | (~node36(c_p1, s4)) | m_processor_v_CMD(c_p1, s4, c_invalidate))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | (~node36(c_p1, s4)) | m_processor_v_CMD(c_p1, s4, c_invalidate))),
% 50.51/33.20 inference(rewrite,[status(thm)],[])).
% 50.51/33.20 tff(19178,plain,
% 50.51/33.20 ((m_processor_v_CMD(c_p1, s4, c_invalidate) | (~node36(c_p1, s4)) | m_processor_v_CMD(c_p1, s4, c_read_h_owned)) <=> (m_processor_v_CMD(c_p1, s4, c_read_h_owned) | (~node36(c_p1, s4)) | m_processor_v_CMD(c_p1, s4, c_invalidate))),
% 50.51/33.20 inference(rewrite,[status(thm)],[])).
% 50.51/33.20 tff(19179,plain,
% 50.51/33.20 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s4, c_invalidate) | (~node36(c_p1, s4)) | m_processor_v_CMD(c_p1, s4, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s4, c_read_h_owned) | (~node36(c_p1, s4)) | m_processor_v_CMD(c_p1, s4, c_invalidate)))),
% 50.51/33.20 inference(monotonicity,[status(thm)],[19178])).
% 50.51/33.20 tff(19180,plain,
% 50.51/33.20 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s4, c_invalidate) | (~node36(c_p1, s4)) | m_processor_v_CMD(c_p1, s4, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | (~node36(c_p1, s4)) | m_processor_v_CMD(c_p1, s4, c_invalidate))),
% 50.51/33.20 inference(transitivity,[status(thm)],[19179, 19177])).
% 50.51/33.20 tff(19181,plain,
% 50.51/33.20 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p1, s4, c_invalidate) | (~node36(c_p1, s4)) | m_processor_v_CMD(c_p1, s4, c_read_h_owned))),
% 50.51/33.20 inference(quant_inst,[status(thm)],[])).
% 50.51/33.20 tff(19182,plain,
% 50.51/33.20 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | (~node36(c_p1, s4)) | m_processor_v_CMD(c_p1, s4, c_invalidate)),
% 50.51/33.20 inference(modus_ponens,[status(thm)],[19181, 19180])).
% 50.51/33.20 tff(19183,plain,
% 50.51/33.20 (m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_invalidate)),
% 50.51/33.20 inference(unit_resolution,[status(thm)],[19182, 359, 19176])).
% 50.51/33.20 tff(19184,plain,
% 50.51/33.20 ($false),
% 50.51/33.20 inference(unit_resolution,[status(thm)],[19183, 19163, 19156])).
% 50.51/33.20 tff(19185,plain,(m_processor_v_master(c_p1, s4) | m_processor_v_state(c_p1, s5, c_invalid) | (~m_processor_v_state(c_p1, s4, c_shared)) | m_processor_v_state(c_p1, s5, c_shared)), inference(lemma,lemma(discharge,[]))).
% 50.51/33.20 tff(19186,plain,
% 50.51/33.20 (~m_processor_v_state(c_p1, s4, c_shared)),
% 50.51/33.20 inference(unit_resolution,[status(thm)],[19185, 1439, 19134, 19107])).
% 50.51/33.20 tff(19187,plain,
% 50.51/33.20 (m_processor_v_state(c_p1, s4, c_owned)),
% 50.51/33.20 inference(unit_resolution,[status(thm)],[19131, 1439, 13853, 19186])).
% 50.51/33.20 tff(19188,plain,
% 50.51/33.20 ($false),
% 50.51/33.20 inference(unit_resolution,[status(thm)],[6707, 19187, 19186, 5656, 6607])).
% 50.51/33.20 tff(19189,plain,(m_processor_v_master(c_p1, s4) | m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.51/33.20 tff(19190,plain,
% 50.51/33.20 (m_processor_v_master(c_p1, s4)),
% 50.51/33.20 inference(unit_resolution,[status(thm)],[19189, 6607, 5656, 13853])).
% 50.51/33.20 tff(19191,assumption,(~m_processor_v_waiting(c_p1, s5)), introduced(assumption)).
% 50.51/33.20 tff(19192,plain,
% 50.51/33.20 (~m_processor_v_state(c_p1, s4, c_owned)),
% 50.51/33.20 inference(unit_resolution,[status(thm)],[6707, 6657, 5656, 6607])).
% 50.51/33.20 tff(19193,plain,
% 50.51/33.20 (m_processor_v_state(c_p1, s5, c_owned)),
% 50.51/33.20 inference(unit_resolution,[status(thm)],[564, 559, 160])).
% 50.51/33.20 tff(19194,plain,
% 50.51/33.20 (m_processor_v_state(c_p1, s4, c_owned) | m_processor_v_state(c_p1, s4, c_invalid)),
% 50.51/33.20 inference(unit_resolution,[status(thm)],[6846, 153, 6657])).
% 50.51/33.20 tff(19195,plain,
% 50.51/33.20 (m_processor_v_state(c_p1, s4, c_invalid)),
% 50.51/33.20 inference(unit_resolution,[status(thm)],[19194, 6576])).
% 50.51/33.20 tff(19196,assumption,(~node34(c_p1, s4, s5)), introduced(assumption)).
% 50.51/33.20 tff(19197,plain,
% 50.51/33.20 (m_processor_v_master(c_p1, s4)),
% 50.51/33.20 inference(unit_resolution,[status(thm)],[19131, 6576, 13853, 6657])).
% 50.51/33.20 tff(19198,plain,
% 50.51/33.20 (m_processor_v_abort(c_p1, s4)),
% 50.51/33.20 inference(unit_resolution,[status(thm)],[17176, 19197, 19196])).
% 50.51/33.20 tff(19199,plain,
% 50.51/33.20 (node32(c_p1, s4, s5)),
% 50.51/33.20 inference(unit_resolution,[status(thm)],[6859, 19198])).
% 50.51/33.20 tff(19200,plain,
% 50.51/33.20 ($false),
% 50.51/33.20 inference(unit_resolution,[status(thm)],[16704, 380, 559, 19199, 19195])).
% 50.51/33.20 tff(19201,plain,(m_processor_v_state(c_p1, s4, c_owned) | m_processor_v_state(c_p1, s5, c_invalid) | node34(c_p1, s4, s5) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_state(c_p1, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.51/33.20 tff(19202,plain,
% 50.51/33.20 (node34(c_p1, s4, s5)),
% 50.51/33.20 inference(unit_resolution,[status(thm)],[19201, 559, 6576, 19193, 6657])).
% 50.51/33.20 tff(19203,assumption,(~node33(c_p1, s4, s5)), introduced(assumption)).
% 50.51/33.20 tff(19204,plain,
% 50.51/33.20 (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)),
% 50.51/33.20 inference(unit_resolution,[status(thm)],[17497, 416, 160, 17187])).
% 50.51/33.20 tff(19205,plain,
% 50.51/33.20 (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s4, c_write_h_invalid))),
% 50.51/33.20 inference(unit_resolution,[status(thm)],[17241, 512, 559, 17187])).
% 50.51/33.20 tff(19206,plain,
% 50.51/33.20 (~m_processor_v_CMD(c_p1, s4, c_write_h_invalid)),
% 50.51/33.20 inference(unit_resolution,[status(thm)],[19205, 1935, 19204])).
% 50.51/33.20 tff(19207,plain,
% 50.51/33.20 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_state(c_p1, s5, c_invalid) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_state(c_p1, s5, c_invalid) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid)))),
% 50.51/33.20 inference(rewrite,[status(thm)],[])).
% 50.51/33.20 tff(19208,plain,
% 50.51/33.20 (((~node34(c_p1, s4, s5)) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid))) <=> (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_state(c_p1, s5, c_invalid) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid)))),
% 50.51/33.20 inference(rewrite,[status(thm)],[])).
% 50.51/33.20 tff(19209,plain,
% 50.51/33.20 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s4, s5)) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_state(c_p1, s5, c_invalid) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid))))),
% 50.51/33.20 inference(monotonicity,[status(thm)],[19208])).
% 50.51/33.20 tff(19210,plain,
% 50.51/33.20 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s4, s5)) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_state(c_p1, s5, c_invalid) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid)))),
% 50.51/33.20 inference(transitivity,[status(thm)],[19209, 19207])).
% 50.51/33.20 tff(19211,plain,
% 50.51/33.20 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s4, s5)) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid)))),
% 50.51/33.20 inference(quant_inst,[status(thm)],[])).
% 50.51/33.20 tff(19212,plain,
% 50.51/33.20 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_state(c_p1, s5, c_invalid) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid))),
% 50.51/33.20 inference(modus_ponens,[status(thm)],[19211, 19210])).
% 50.51/33.20 tff(19213,plain,
% 50.51/33.20 (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid))),
% 50.51/33.20 inference(unit_resolution,[status(thm)],[19212, 438, 559, 17187])).
% 50.51/33.20 tff(19214,plain,
% 50.51/33.20 (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid)),
% 50.51/33.20 inference(unit_resolution,[status(thm)],[19213, 1935, 19204, 19206])).
% 50.51/33.20 tff(19215,assumption,(~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid)), introduced(assumption)).
% 50.51/33.20 tff(19216,plain,
% 50.51/33.20 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_state(c_p1, s5, c_shared) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_state(c_p1, s5, c_shared) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_shared)))),
% 50.51/33.20 inference(rewrite,[status(thm)],[])).
% 50.51/33.20 tff(19217,plain,
% 50.51/33.20 (((~node34(c_p1, s4, s5)) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s4, c_write_h_shared))) <=> (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_state(c_p1, s5, c_shared) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_shared)))),
% 50.51/33.21 inference(rewrite,[status(thm)],[])).
% 50.51/33.21 tff(19218,plain,
% 50.51/33.21 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p1, s4, s5)) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s4, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_state(c_p1, s5, c_shared) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_shared))))),
% 50.51/33.21 inference(monotonicity,[status(thm)],[19217])).
% 50.51/33.21 tff(19219,plain,
% 50.51/33.21 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p1, s4, s5)) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s4, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_state(c_p1, s5, c_shared) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_shared)))),
% 50.51/33.21 inference(transitivity,[status(thm)],[19218, 19216])).
% 50.51/33.21 tff(19220,plain,
% 50.51/33.21 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p1, s4, s5)) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s4, c_write_h_shared)))),
% 50.51/33.21 inference(quant_inst,[status(thm)],[])).
% 50.51/33.21 tff(19221,plain,
% 50.51/33.21 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_state(c_p1, s5, c_shared) | (~node34(c_p1, s4, s5)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_shared))),
% 50.51/33.21 inference(modus_ponens,[status(thm)],[19220, 19219])).
% 50.51/33.21 tff(19222,plain,
% 50.51/33.21 (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s4, c_write_h_shared))),
% 50.51/33.21 inference(unit_resolution,[status(thm)],[19221, 456, 160, 17187])).
% 50.51/33.21 tff(19223,plain,
% 50.51/33.21 (~m_processor_v_CMD(c_p1, s4, c_write_h_shared)),
% 50.51/33.21 inference(unit_resolution,[status(thm)],[19222, 19206, 19204, 19215, 1935])).
% 50.51/33.21 tff(19224,plain,
% 50.51/33.21 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_shared) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared) | node33(c_p1, s4, s5) | (~node34(c_p1, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_shared) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared) | node33(c_p1, s4, s5) | (~node34(c_p1, s4, s5)))),
% 50.51/33.21 inference(rewrite,[status(thm)],[])).
% 50.51/33.21 tff(19225,plain,
% 50.51/33.21 ((node33(c_p1, s4, s5) | (~node34(c_p1, s4, s5)) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_shared) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_shared) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared) | node33(c_p1, s4, s5) | (~node34(c_p1, s4, s5)))),
% 50.51/33.21 inference(rewrite,[status(thm)],[])).
% 50.51/33.21 tff(19226,plain,
% 50.51/33.21 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s4, s5) | (~node34(c_p1, s4, s5)) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_shared) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_shared) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared) | node33(c_p1, s4, s5) | (~node34(c_p1, s4, s5))))),
% 50.51/33.21 inference(monotonicity,[status(thm)],[19225])).
% 50.51/33.21 tff(19227,plain,
% 50.51/33.21 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s4, s5) | (~node34(c_p1, s4, s5)) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_shared) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_shared) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared) | node33(c_p1, s4, s5) | (~node34(c_p1, s4, s5)))),
% 50.51/33.21 inference(transitivity,[status(thm)],[19226, 19224])).
% 50.51/33.21 tff(19228,plain,
% 50.51/33.21 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s4, s5) | (~node34(c_p1, s4, s5)) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_shared) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared))),
% 50.51/33.21 inference(quant_inst,[status(thm)],[])).
% 50.51/33.21 tff(19229,plain,
% 50.51/33.21 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_shared) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared) | node33(c_p1, s4, s5) | (~node34(c_p1, s4, s5))),
% 50.51/33.21 inference(modus_ponens,[status(thm)],[19228, 19227])).
% 50.51/33.21 tff(19230,plain,
% 50.51/33.21 (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_shared) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared) | (~node34(c_p1, s4, s5))),
% 50.51/33.21 inference(unit_resolution,[status(thm)],[19229, 474, 19203])).
% 50.51/33.21 tff(19231,plain,
% 50.51/33.21 (m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared)),
% 50.51/33.21 inference(unit_resolution,[status(thm)],[19230, 19223, 17187, 19204, 19215, 1935, 19206])).
% 50.51/33.21 tff(19232,plain,
% 50.51/33.21 (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s4, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared))),
% 50.60/33.21 inference(unit_resolution,[status(thm)],[17535, 492, 160, 17187])).
% 50.60/33.21 tff(19233,plain,
% 50.60/33.21 ($false),
% 50.60/33.21 inference(unit_resolution,[status(thm)],[19232, 19231, 19223, 19204, 19215, 1935, 19206])).
% 50.60/33.21 tff(19234,plain,(m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | m_processor_v_state(c_p1, s5, c_shared) | (~node34(c_p1, s4, s5)) | node33(c_p1, s4, s5) | m_processor_v_state(c_p1, s5, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.21 tff(19235,plain,
% 50.60/33.21 ($false),
% 50.60/33.21 inference(unit_resolution,[status(thm)],[19234, 19214, 1935, 160, 17187, 19203, 559])).
% 50.60/33.21 tff(19236,plain,(m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_state(c_p1, s5, c_shared) | (~node34(c_p1, s4, s5)) | node33(c_p1, s4, s5) | m_processor_v_state(c_p1, s5, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.21 tff(19237,plain,
% 50.60/33.21 (node33(c_p1, s4, s5)),
% 50.60/33.21 inference(unit_resolution,[status(thm)],[19236, 559, 1935, 19202, 160])).
% 50.60/33.21 tff(19238,plain,
% 50.60/33.21 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p1, s4, c_owned) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~node33(c_p1, s4, s5)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p1, s4, c_owned) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~node33(c_p1, s4, s5)))),
% 50.60/33.21 inference(rewrite,[status(thm)],[])).
% 50.60/33.21 tff(19239,plain,
% 50.60/33.21 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p1, s4, c_owned) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~node33(c_p1, s4, s5)))),
% 50.60/33.21 inference(quant_inst,[status(thm)],[])).
% 50.60/33.21 tff(19240,plain,
% 50.60/33.21 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p1, s4, c_owned) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~node33(c_p1, s4, s5))),
% 50.60/33.21 inference(modus_ponens,[status(thm)],[19239, 19238])).
% 50.60/33.21 tff(19241,plain,
% 50.60/33.21 ($false),
% 50.60/33.21 inference(unit_resolution,[status(thm)],[19240, 830, 6576, 19193, 19237])).
% 50.60/33.21 tff(19242,plain,(m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_state(c_p1, s4, c_owned) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_state(c_p1, s4, c_shared)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.21 tff(19243,plain,
% 50.60/33.21 (m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 50.60/33.21 inference(unit_resolution,[status(thm)],[19242, 19192, 559, 160, 6657])).
% 50.60/33.21 tff(19244,plain,
% 50.60/33.21 ($false),
% 50.60/33.21 inference(unit_resolution,[status(thm)],[6707, 6849, 6657, 6607, 5656])).
% 50.60/33.21 tff(19245,plain,(m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_state(c_p1, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.21 tff(19246,plain,
% 50.60/33.21 (m_processor_v_state(c_p1, s4, c_invalid)),
% 50.60/33.21 inference(unit_resolution,[status(thm)],[19245, 6657, 5656, 6607])).
% 50.60/33.21 tff(19247,plain,
% 50.60/33.21 (~node32(c_p1, s4, s5)),
% 50.60/33.21 inference(unit_resolution,[status(thm)],[16706, 19246, 559])).
% 50.60/33.21 tff(19248,plain,
% 50.60/33.21 (~m_processor_v_abort(c_p1, s4)),
% 50.60/33.21 inference(unit_resolution,[status(thm)],[6859, 19247])).
% 50.60/33.21 tff(19249,plain,
% 50.60/33.21 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s4, s5)) | node53(c_p1, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s4, s5)) | node53(c_p1, s4, s5))),
% 50.60/33.21 inference(rewrite,[status(thm)],[])).
% 50.60/33.21 tff(19250,plain,
% 50.60/33.21 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s4, s5)) | node53(c_p1, s4, s5))),
% 50.60/33.21 inference(quant_inst,[status(thm)],[])).
% 50.60/33.21 tff(19251,plain,
% 50.60/33.21 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s4, s5)) | node53(c_p1, s4, s5)),
% 50.60/33.21 inference(modus_ponens,[status(thm)],[19250, 19249])).
% 50.60/33.21 tff(19252,plain,
% 50.60/33.21 (node53(c_p1, s4, s5)),
% 50.60/33.21 inference(unit_resolution,[status(thm)],[19251, 575, 1112])).
% 50.60/33.21 tff(19253,plain,
% 50.60/33.21 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | m_processor_v_waiting(c_p1, s5) | node47(c_p1, s4) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)) | (~node53(c_p1, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | m_processor_v_waiting(c_p1, s5) | node47(c_p1, s4) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)) | (~node53(c_p1, s4, s5)))),
% 50.60/33.21 inference(rewrite,[status(thm)],[])).
% 50.60/33.21 tff(19254,plain,
% 50.60/33.21 ((m_processor_v_waiting(c_p1, s5) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)) | (~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | node47(c_p1, s4) | (~node53(c_p1, s4, s5))) <=> ((~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | m_processor_v_waiting(c_p1, s5) | node47(c_p1, s4) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)) | (~node53(c_p1, s4, s5)))),
% 50.60/33.21 inference(rewrite,[status(thm)],[])).
% 50.60/33.21 tff(19255,plain,
% 50.60/33.21 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s5) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)) | (~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | node47(c_p1, s4) | (~node53(c_p1, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | m_processor_v_waiting(c_p1, s5) | node47(c_p1, s4) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)) | (~node53(c_p1, s4, s5))))),
% 50.60/33.21 inference(monotonicity,[status(thm)],[19254])).
% 50.60/33.21 tff(19256,plain,
% 50.60/33.21 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s5) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)) | (~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | node47(c_p1, s4) | (~node53(c_p1, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | m_processor_v_waiting(c_p1, s5) | node47(c_p1, s4) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)) | (~node53(c_p1, s4, s5)))),
% 50.60/33.21 inference(transitivity,[status(thm)],[19255, 19253])).
% 50.60/33.21 tff(19257,plain,
% 50.60/33.21 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s5) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)) | (~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | node47(c_p1, s4) | (~node53(c_p1, s4, s5)))),
% 50.60/33.21 inference(quant_inst,[status(thm)],[])).
% 50.60/33.21 tff(19258,plain,
% 50.60/33.21 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | m_processor_v_waiting(c_p1, s5) | node47(c_p1, s4) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)) | (~node53(c_p1, s4, s5))),
% 50.60/33.21 inference(modus_ponens,[status(thm)],[19257, 19256])).
% 50.60/33.21 tff(19259,plain,
% 50.60/33.21 ((~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | m_processor_v_waiting(c_p1, s5) | node47(c_p1, s4) | (~m_processor_v_CMD(c_p1, s4, c_read_h_owned))),
% 50.60/33.21 inference(unit_resolution,[status(thm)],[19258, 640, 19252])).
% 50.60/33.21 tff(19260,plain,
% 50.60/33.21 (node47(c_p1, s4)),
% 50.60/33.21 inference(unit_resolution,[status(thm)],[19259, 19248, 19191, 19243, 1432])).
% 50.60/33.21 tff(19261,plain,
% 50.60/33.21 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | m_processor_v_waiting(c_p1, s5) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)) | (~node53(c_p1, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | m_processor_v_waiting(c_p1, s5) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)) | (~node53(c_p1, s4, s5)))),
% 50.60/33.21 inference(rewrite,[status(thm)],[])).
% 50.60/33.21 tff(19262,plain,
% 50.60/33.21 ((m_processor_v_waiting(c_p1, s5) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)) | (~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | (~node53(c_p1, s4, s5))) <=> ((~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | m_processor_v_waiting(c_p1, s5) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)) | (~node53(c_p1, s4, s5)))),
% 50.60/33.21 inference(rewrite,[status(thm)],[])).
% 50.60/33.21 tff(19263,plain,
% 50.60/33.21 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s5) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)) | (~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | (~node53(c_p1, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | m_processor_v_waiting(c_p1, s5) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)) | (~node53(c_p1, s4, s5))))),
% 50.60/33.21 inference(monotonicity,[status(thm)],[19262])).
% 50.60/33.21 tff(19264,plain,
% 50.60/33.21 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s5) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)) | (~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | (~node53(c_p1, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | m_processor_v_waiting(c_p1, s5) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)) | (~node53(c_p1, s4, s5)))),
% 50.60/33.21 inference(transitivity,[status(thm)],[19263, 19261])).
% 50.60/33.21 tff(19265,plain,
% 50.60/33.21 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s5) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)) | (~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | (~node53(c_p1, s4, s5)))),
% 50.60/33.21 inference(quant_inst,[status(thm)],[])).
% 50.60/33.21 tff(19266,plain,
% 50.60/33.21 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | m_processor_v_waiting(c_p1, s5) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)) | (~node53(c_p1, s4, s5))),
% 50.60/33.22 inference(modus_ponens,[status(thm)],[19265, 19264])).
% 50.60/33.22 tff(19267,plain,
% 50.60/33.22 ((~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | m_processor_v_waiting(c_p1, s5) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared))),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19266, 589, 19252])).
% 50.60/33.22 tff(19268,plain,
% 50.60/33.22 (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19267, 19248, 19191, 1432])).
% 50.60/33.22 tff(19269,plain,
% 50.60/33.22 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | (~node47(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | (~node47(c_p1, s4)))),
% 50.60/33.22 inference(rewrite,[status(thm)],[])).
% 50.60/33.22 tff(19270,plain,
% 50.60/33.22 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | (~node47(c_p1, s4)))),
% 50.60/33.22 inference(quant_inst,[status(thm)],[])).
% 50.60/33.22 tff(19271,plain,
% 50.60/33.22 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p1, s4, c_read_h_shared) | (~node47(c_p1, s4))),
% 50.60/33.22 inference(modus_ponens,[status(thm)],[19270, 19269])).
% 50.60/33.22 tff(19272,plain,
% 50.60/33.22 ($false),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19271, 657, 19268, 19260])).
% 50.60/33.22 tff(19273,plain,(m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_waiting(c_p1, s5) | (~m_processor_v_master(c_p1, s4)) | m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_master(c_p1, s3)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.22 tff(19274,plain,
% 50.60/33.22 (m_processor_v_state(c_p1, s4, c_shared)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19273, 19190, 19191, 19134, 19107, 5656, 6607])).
% 50.60/33.22 tff(19275,plain,
% 50.60/33.22 (~node32(c_p1, s4, s5)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19139, 19274, 19107])).
% 50.60/33.22 tff(19276,plain,
% 50.60/33.22 (~m_processor_v_abort(c_p1, s4)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[6859, 19275])).
% 50.60/33.22 tff(19277,plain,
% 50.60/33.22 (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19267, 19276, 19191, 19190])).
% 50.60/33.22 tff(19278,plain,
% 50.60/33.22 (~node47(c_p1, s4)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19271, 657, 19277])).
% 50.60/33.22 tff(19279,plain,
% 50.60/33.22 (node34(c_p1, s4, s5)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[17176, 19276, 19190])).
% 50.60/33.22 tff(19280,plain,
% 50.60/33.22 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s4, c_shared)) | (~node33(c_p1, s4, s5)) | m_processor_v_state(c_p1, s5, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p1, s4, c_shared)) | (~node33(c_p1, s4, s5)) | m_processor_v_state(c_p1, s5, c_shared))),
% 50.60/33.22 inference(rewrite,[status(thm)],[])).
% 50.60/33.22 tff(19281,plain,
% 50.60/33.22 (((~m_processor_v_state(c_p1, s4, c_shared)) | m_processor_v_state(c_p1, s5, c_shared) | (~node33(c_p1, s4, s5))) <=> ((~m_processor_v_state(c_p1, s4, c_shared)) | (~node33(c_p1, s4, s5)) | m_processor_v_state(c_p1, s5, c_shared))),
% 50.60/33.22 inference(rewrite,[status(thm)],[])).
% 50.60/33.22 tff(19282,plain,
% 50.60/33.22 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s4, c_shared)) | m_processor_v_state(c_p1, s5, c_shared) | (~node33(c_p1, s4, s5)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s4, c_shared)) | (~node33(c_p1, s4, s5)) | m_processor_v_state(c_p1, s5, c_shared)))),
% 50.60/33.22 inference(monotonicity,[status(thm)],[19281])).
% 50.60/33.22 tff(19283,plain,
% 50.60/33.22 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s4, c_shared)) | m_processor_v_state(c_p1, s5, c_shared) | (~node33(c_p1, s4, s5)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p1, s4, c_shared)) | (~node33(c_p1, s4, s5)) | m_processor_v_state(c_p1, s5, c_shared))),
% 50.60/33.22 inference(transitivity,[status(thm)],[19282, 19280])).
% 50.60/33.22 tff(19284,plain,
% 50.60/33.22 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s4, c_shared)) | m_processor_v_state(c_p1, s5, c_shared) | (~node33(c_p1, s4, s5)))),
% 50.60/33.22 inference(quant_inst,[status(thm)],[])).
% 50.60/33.22 tff(19285,plain,
% 50.60/33.22 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p1, s4, c_shared)) | (~node33(c_p1, s4, s5)) | m_processor_v_state(c_p1, s5, c_shared)),
% 50.60/33.22 inference(modus_ponens,[status(thm)],[19284, 19283])).
% 50.60/33.22 tff(19286,plain,
% 50.60/33.22 (~node33(c_p1, s4, s5)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19285, 399, 19274, 19107])).
% 50.60/33.22 tff(19287,plain,
% 50.60/33.22 (m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19236, 19286, 19134, 19107, 19279])).
% 50.60/33.22 tff(19288,plain,
% 50.60/33.22 ($false),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19259, 19287, 19278, 19191, 19276, 19190])).
% 50.60/33.22 tff(19289,plain,(m_processor_v_master(c_p1, s3) | m_processor_v_waiting(c_p1, s5) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.60/33.22 tff(19290,plain,
% 50.60/33.22 (m_processor_v_master(c_p1, s3)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19289, 19117, 5656, 13853])).
% 50.60/33.22 tff(19291,assumption,(~m_processor_v_writable(c_p0, s5)), introduced(assumption)).
% 50.60/33.22 tff(19292,plain,
% 50.60/33.22 (((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s5) | (~node67(s5)))) <=> ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | m_processor_v_writable(c_p0, s5) | (~node67(s5)))),
% 50.60/33.22 inference(rewrite,[status(thm)],[])).
% 50.60/33.22 tff(19293,plain,
% 50.60/33.22 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | (m_processor_v_writable(c_p0, s5) | (~node67(s5)))),
% 50.60/33.22 inference(quant_inst,[status(thm)],[])).
% 50.60/33.22 tff(19294,plain,
% 50.60/33.22 ((~![X: $i] : (m_processor_v_writable(c_p0, X) | (~node67(X)))) | m_processor_v_writable(c_p0, s5) | (~node67(s5))),
% 50.60/33.22 inference(modus_ponens,[status(thm)],[19293, 19292])).
% 50.60/33.22 tff(19295,plain,
% 50.60/33.22 ($false),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19294, 43, 91, 19291])).
% 50.60/33.22 tff(19296,plain,((~node67(s5)) | m_processor_v_writable(c_p0, s5)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.22 tff(19297,plain,
% 50.60/33.22 (m_processor_v_writable(c_p0, s5)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19296, 91])).
% 50.60/33.22 tff(19298,assumption,(m_processor_v_writable(c_p0, s5)), introduced(assumption)).
% 50.60/33.22 tff(19299,assumption,(~node56(c_p0, s5)), introduced(assumption)).
% 50.60/33.22 tff(19300,plain,
% 50.60/33.22 (((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s5)) | node56(c_p0, s5))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s5)) | node56(c_p0, s5))),
% 50.60/33.22 inference(rewrite,[status(thm)],[])).
% 50.60/33.22 tff(19301,plain,
% 50.60/33.22 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | ((~m_processor_v_writable(c_p0, s5)) | node56(c_p0, s5))),
% 50.60/33.22 inference(quant_inst,[status(thm)],[])).
% 50.60/33.22 tff(19302,plain,
% 50.60/33.22 ((~![I0: $i, X: $i] : ((~m_processor_v_writable(I0, X)) | node56(I0, X))) | (~m_processor_v_writable(c_p0, s5)) | node56(c_p0, s5)),
% 50.60/33.22 inference(modus_ponens,[status(thm)],[19301, 19300])).
% 50.60/33.22 tff(19303,plain,
% 50.60/33.22 ($false),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19302, 28, 19299, 19298])).
% 50.60/33.22 tff(19304,plain,((~m_processor_v_writable(c_p0, s5)) | node56(c_p0, s5)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.22 tff(19305,plain,
% 50.60/33.22 (node56(c_p0, s5)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19304, 19297])).
% 50.60/33.22 tff(19306,assumption,(node56(c_p0, s5)), introduced(assumption)).
% 50.60/33.22 tff(19307,plain,
% 50.60/33.22 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | ((~node56(c_p0, s5)) | m_processor_v_state(c_p0, s5, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (~node56(c_p0, s5)) | m_processor_v_state(c_p0, s5, c_owned))),
% 50.60/33.22 inference(rewrite,[status(thm)],[])).
% 50.60/33.22 tff(19308,plain,
% 50.60/33.22 ((m_processor_v_state(c_p0, s5, c_owned) | (~node56(c_p0, s5))) <=> ((~node56(c_p0, s5)) | m_processor_v_state(c_p0, s5, c_owned))),
% 50.60/33.22 inference(rewrite,[status(thm)],[])).
% 50.60/33.22 tff(19309,plain,
% 50.60/33.22 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s5, c_owned) | (~node56(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | ((~node56(c_p0, s5)) | m_processor_v_state(c_p0, s5, c_owned)))),
% 50.60/33.22 inference(monotonicity,[status(thm)],[19308])).
% 50.60/33.22 tff(19310,plain,
% 50.60/33.22 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s5, c_owned) | (~node56(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (~node56(c_p0, s5)) | m_processor_v_state(c_p0, s5, c_owned))),
% 50.60/33.22 inference(transitivity,[status(thm)],[19309, 19307])).
% 50.60/33.22 tff(19311,plain,
% 50.60/33.22 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (m_processor_v_state(c_p0, s5, c_owned) | (~node56(c_p0, s5)))),
% 50.60/33.22 inference(quant_inst,[status(thm)],[])).
% 50.60/33.22 tff(19312,plain,
% 50.60/33.22 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node56(I0, X)))) | (~node56(c_p0, s5)) | m_processor_v_state(c_p0, s5, c_owned)),
% 50.60/33.22 inference(modus_ponens,[status(thm)],[19311, 19310])).
% 50.60/33.22 tff(19313,plain,
% 50.60/33.22 ($false),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19312, 13, 799, 19306])).
% 50.60/33.22 tff(19314,plain,(m_processor_v_state(c_p0, s5, c_owned) | (~node56(c_p0, s5))), inference(lemma,lemma(discharge,[]))).
% 50.60/33.22 tff(19315,plain,
% 50.60/33.22 (m_processor_v_state(c_p0, s5, c_owned)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19314, 19305])).
% 50.60/33.22 tff(19316,plain,
% 50.60/33.22 (~m_processor_v_state(c_p0, s5, c_shared)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[1068, 19315])).
% 50.60/33.22 tff(19317,plain,
% 50.60/33.22 (~m_processor_v_state(c_p0, s5, c_invalid)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[1072, 137, 19315])).
% 50.60/33.22 tff(19318,plain,
% 50.60/33.22 (m_processor_v_state(c_p0, s4, c_invalid)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[1101, 1096, 54])).
% 50.60/33.22 tff(19319,plain,
% 50.60/33.22 (~node32(c_p0, s4, s5)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[1093, 19318, 19317])).
% 50.60/33.22 tff(19320,plain,
% 50.60/33.22 (~m_processor_v_abort(c_p0, s4)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[1124, 19319])).
% 50.60/33.22 tff(19321,plain,
% 50.60/33.22 (node60(c_p0, s4)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[1353, 19320])).
% 50.60/33.22 tff(19322,plain,
% 50.60/33.22 (m_processor_v_master(c_p0, s4)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[1147, 1096, 19315, 54])).
% 50.60/33.22 tff(19323,plain,
% 50.60/33.22 (node34(c_p0, s4, s5)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[1333, 19320, 19322])).
% 50.60/33.22 tff(19324,plain,
% 50.60/33.22 (m_processor_v_CMD(c_p0, s4, c_read_h_owned)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[2253, 19323, 19318, 19316, 19317])).
% 50.60/33.22 tff(19325,plain,
% 50.60/33.22 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s4, c_read_h_owned)) | (~node59(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)) | (~node59(c_p0, s4)))),
% 50.60/33.22 inference(rewrite,[status(thm)],[])).
% 50.60/33.22 tff(19326,plain,
% 50.60/33.22 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s4, c_read_h_owned)) | (~node59(c_p0, s4)))),
% 50.60/33.22 inference(quant_inst,[status(thm)],[])).
% 50.60/33.22 tff(19327,plain,
% 50.60/33.22 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)) | (~node59(c_p0, s4))),
% 50.60/33.22 inference(modus_ponens,[status(thm)],[19326, 19325])).
% 50.60/33.22 tff(19328,plain,
% 50.60/33.22 (~node59(c_p0, s4)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19327, 707, 19324])).
% 50.60/33.22 tff(19329,plain,
% 50.60/33.22 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p0, s4)) | node59(c_p0, s4) | (~node60(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p0, s4)) | node59(c_p0, s4) | (~node60(c_p0, s4)))),
% 50.60/33.22 inference(rewrite,[status(thm)],[])).
% 50.60/33.22 tff(19330,plain,
% 50.60/33.22 ((node59(c_p0, s4) | (~node60(c_p0, s4)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s4))) <=> ((~m_processor_v_REPLY_h_WAITING(c_p0, s4)) | node59(c_p0, s4) | (~node60(c_p0, s4)))),
% 50.60/33.22 inference(rewrite,[status(thm)],[])).
% 50.60/33.22 tff(19331,plain,
% 50.60/33.22 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s4) | (~node60(c_p0, s4)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p0, s4)) | node59(c_p0, s4) | (~node60(c_p0, s4))))),
% 50.60/33.22 inference(monotonicity,[status(thm)],[19330])).
% 50.60/33.22 tff(19332,plain,
% 50.60/33.22 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s4) | (~node60(c_p0, s4)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p0, s4)) | node59(c_p0, s4) | (~node60(c_p0, s4)))),
% 50.60/33.22 inference(transitivity,[status(thm)],[19331, 19329])).
% 50.60/33.22 tff(19333,plain,
% 50.60/33.22 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s4) | (~node60(c_p0, s4)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s4)))),
% 50.60/33.22 inference(quant_inst,[status(thm)],[])).
% 50.60/33.22 tff(19334,plain,
% 50.60/33.22 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p0, s4)) | node59(c_p0, s4) | (~node60(c_p0, s4))),
% 50.60/33.22 inference(modus_ponens,[status(thm)],[19333, 19332])).
% 50.60/33.22 tff(19335,plain,
% 50.60/33.22 (~m_processor_v_REPLY_h_WAITING(c_p0, s4)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19334, 724, 19328, 19321])).
% 50.60/33.22 tff(19336,plain,
% 50.60/33.22 (((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | ((~m_main_v_REPLY_h_WAITING(s4)) | m_processor_v_REPLY_h_WAITING(c_p0, s4))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | (~m_main_v_REPLY_h_WAITING(s4)) | m_processor_v_REPLY_h_WAITING(c_p0, s4))),
% 50.60/33.22 inference(rewrite,[status(thm)],[])).
% 50.60/33.22 tff(19337,plain,
% 50.60/33.22 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | ((~m_main_v_REPLY_h_WAITING(s4)) | m_processor_v_REPLY_h_WAITING(c_p0, s4))),
% 50.60/33.22 inference(quant_inst,[status(thm)],[])).
% 50.60/33.22 tff(19338,plain,
% 50.60/33.22 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | (~m_main_v_REPLY_h_WAITING(s4)) | m_processor_v_REPLY_h_WAITING(c_p0, s4)),
% 50.60/33.22 inference(modus_ponens,[status(thm)],[19337, 19336])).
% 50.60/33.22 tff(19339,plain,
% 50.60/33.22 ($false),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19338, 7774, 1917, 1884])).
% 50.60/33.22 tff(19340,plain,((~m_main_v_REPLY_h_WAITING(s4)) | m_processor_v_REPLY_h_WAITING(c_p0, s4)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.22 tff(19341,plain,
% 50.60/33.22 (~m_main_v_REPLY_h_WAITING(s4)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19340, 19335])).
% 50.60/33.22 tff(19342,assumption,(~node6(s4)), introduced(assumption)).
% 50.60/33.22 tff(19343,plain,
% 50.60/33.22 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | (m_main_v_REPLY_h_WAITING(s4) | node6(s4))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | m_main_v_REPLY_h_WAITING(s4) | node6(s4))),
% 50.60/33.22 inference(rewrite,[status(thm)],[])).
% 50.60/33.22 tff(19344,plain,
% 50.60/33.22 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | (m_main_v_REPLY_h_WAITING(s4) | node6(s4))),
% 50.60/33.22 inference(quant_inst,[status(thm)],[])).
% 50.60/33.22 tff(19345,plain,
% 50.60/33.22 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | m_main_v_REPLY_h_WAITING(s4) | node6(s4)),
% 50.60/33.22 inference(modus_ponens,[status(thm)],[19344, 19343])).
% 50.60/33.22 tff(19346,plain,
% 50.60/33.22 ($false),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19345, 760, 1898, 19342])).
% 50.60/33.22 tff(19347,plain,(node6(s4) | m_main_v_REPLY_h_WAITING(s4)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.22 tff(19348,plain,
% 50.60/33.22 (node6(s4)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19347, 19341])).
% 50.60/33.22 tff(19349,assumption,(m_processor_v_reply_h_waiting(c_p1, s4)), introduced(assumption)).
% 50.60/33.22 tff(19350,assumption,(node6(s4)), introduced(assumption)).
% 50.60/33.22 tff(19351,plain,
% 50.60/33.22 (((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | ((~node6(s4)) | (~m_processor_v_reply_h_waiting(c_p1, s4)))) <=> ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | (~node6(s4)) | (~m_processor_v_reply_h_waiting(c_p1, s4)))),
% 50.60/33.22 inference(rewrite,[status(thm)],[])).
% 50.60/33.22 tff(19352,plain,
% 50.60/33.22 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | ((~node6(s4)) | (~m_processor_v_reply_h_waiting(c_p1, s4)))),
% 50.60/33.22 inference(quant_inst,[status(thm)],[])).
% 50.60/33.22 tff(19353,plain,
% 50.60/33.22 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | (~node6(s4)) | (~m_processor_v_reply_h_waiting(c_p1, s4))),
% 50.60/33.22 inference(modus_ponens,[status(thm)],[19352, 19351])).
% 50.60/33.22 tff(19354,plain,
% 50.60/33.22 ($false),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19353, 8551, 19350, 19349])).
% 50.60/33.22 tff(19355,plain,((~m_processor_v_reply_h_waiting(c_p1, s4)) | (~node6(s4))), inference(lemma,lemma(discharge,[]))).
% 50.60/33.22 tff(19356,plain,
% 50.60/33.22 (~m_processor_v_reply_h_waiting(c_p1, s4)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19355, 19348])).
% 50.60/33.22 tff(19357,plain,
% 50.60/33.22 (~m_processor_v_master(c_p1, s4)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[1435, 794, 19322])).
% 50.60/33.22 tff(19358,plain,
% 50.60/33.22 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p1, s4)) | m_processor_v_master(c_p1, s4) | m_processor_v_reply_h_waiting(c_p1, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s4)) | m_processor_v_master(c_p1, s4) | m_processor_v_reply_h_waiting(c_p1, s4))),
% 50.60/33.22 inference(rewrite,[status(thm)],[])).
% 50.60/33.22 tff(19359,plain,
% 50.60/33.22 ((m_processor_v_master(c_p1, s4) | (~m_processor_v_waiting(c_p1, s4)) | m_processor_v_reply_h_waiting(c_p1, s4)) <=> ((~m_processor_v_waiting(c_p1, s4)) | m_processor_v_master(c_p1, s4) | m_processor_v_reply_h_waiting(c_p1, s4))),
% 50.60/33.22 inference(rewrite,[status(thm)],[])).
% 50.60/33.22 tff(19360,plain,
% 50.60/33.22 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s4) | (~m_processor_v_waiting(c_p1, s4)) | m_processor_v_reply_h_waiting(c_p1, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p1, s4)) | m_processor_v_master(c_p1, s4) | m_processor_v_reply_h_waiting(c_p1, s4)))),
% 50.60/33.22 inference(monotonicity,[status(thm)],[19359])).
% 50.60/33.22 tff(19361,plain,
% 50.60/33.22 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s4) | (~m_processor_v_waiting(c_p1, s4)) | m_processor_v_reply_h_waiting(c_p1, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s4)) | m_processor_v_master(c_p1, s4) | m_processor_v_reply_h_waiting(c_p1, s4))),
% 50.60/33.22 inference(transitivity,[status(thm)],[19360, 19358])).
% 50.60/33.22 tff(19362,plain,
% 50.60/33.22 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s4) | (~m_processor_v_waiting(c_p1, s4)) | m_processor_v_reply_h_waiting(c_p1, s4))),
% 50.60/33.22 inference(quant_inst,[status(thm)],[])).
% 50.60/33.22 tff(19363,plain,
% 50.60/33.22 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s4)) | m_processor_v_master(c_p1, s4) | m_processor_v_reply_h_waiting(c_p1, s4)),
% 50.60/33.22 inference(modus_ponens,[status(thm)],[19362, 19361])).
% 50.60/33.22 tff(19364,plain,
% 50.60/33.22 ((~m_processor_v_waiting(c_p1, s4)) | m_processor_v_reply_h_waiting(c_p1, s4)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19363, 2296, 19357])).
% 50.60/33.22 tff(19365,plain,
% 50.60/33.22 (~m_processor_v_waiting(c_p1, s4)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19364, 19356])).
% 50.60/33.22 tff(19366,plain,
% 50.60/33.22 (~m_processor_v_state(c_p1, s4, c_owned)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[10617, 10614, 6556, 19365])).
% 50.60/33.22 tff(19367,plain,
% 50.60/33.22 (~m_processor_v_REPLY_h_STALL(c_p0, s4)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[1368, 19321])).
% 50.60/33.22 tff(19368,plain,
% 50.60/33.22 (~m_main_v_REPLY_h_STALL(s4)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[1386, 19367])).
% 50.60/33.22 tff(19369,plain,
% 50.60/33.22 (~m_processor_v_REPLY_h_STALL(c_p1, s4)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[1404, 19368])).
% 50.60/33.22 tff(19370,plain,
% 50.60/33.22 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | (m_main_v_REPLY_h_WAITING(s4) | (~m_processor_v_REPLY_h_WAITING(c_p1, s4)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | m_main_v_REPLY_h_WAITING(s4) | (~m_processor_v_REPLY_h_WAITING(c_p1, s4)))),
% 50.60/33.22 inference(rewrite,[status(thm)],[])).
% 50.60/33.22 tff(19371,plain,
% 50.60/33.22 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | (m_main_v_REPLY_h_WAITING(s4) | (~m_processor_v_REPLY_h_WAITING(c_p1, s4)))),
% 50.60/33.22 inference(quant_inst,[status(thm)],[])).
% 50.60/33.22 tff(19372,plain,
% 50.60/33.22 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | m_main_v_REPLY_h_WAITING(s4) | (~m_processor_v_REPLY_h_WAITING(c_p1, s4))),
% 50.60/33.22 inference(modus_ponens,[status(thm)],[19371, 19370])).
% 50.60/33.22 tff(19373,plain,
% 50.60/33.22 ($false),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19372, 7866, 1898, 1925])).
% 50.60/33.22 tff(19374,plain,(m_main_v_REPLY_h_WAITING(s4) | (~m_processor_v_REPLY_h_WAITING(c_p1, s4))), inference(lemma,lemma(discharge,[]))).
% 50.60/33.22 tff(19375,plain,
% 50.60/33.22 (~m_processor_v_REPLY_h_WAITING(c_p1, s4)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19374, 19341])).
% 50.60/33.22 tff(19376,plain,
% 50.60/33.22 (((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p1, s4) | (~node61(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p1, s4) | (~node61(c_p1, s4)))),
% 50.60/33.22 inference(rewrite,[status(thm)],[])).
% 50.60/33.22 tff(19377,plain,
% 50.60/33.22 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p1, s4) | (~node61(c_p1, s4)))),
% 50.60/33.22 inference(quant_inst,[status(thm)],[])).
% 50.60/33.22 tff(19378,plain,
% 50.60/33.22 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p1, s4) | (~node61(c_p1, s4))),
% 50.60/33.22 inference(modus_ponens,[status(thm)],[19377, 19376])).
% 50.60/33.22 tff(19379,plain,
% 50.60/33.22 ($false),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19378, 1891, 2257, 1916])).
% 50.60/33.22 tff(19380,plain,(m_processor_v_REPLY_h_WAITING(c_p1, s4) | (~node61(c_p1, s4))), inference(lemma,lemma(discharge,[]))).
% 50.60/33.22 tff(19381,plain,
% 50.60/33.22 (~node61(c_p1, s4)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19380, 19375])).
% 50.60/33.22 tff(19382,plain,
% 50.60/33.22 (~m_processor_v_abort(c_p1, s4)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[1422, 19381, 19369])).
% 50.60/33.22 tff(19383,plain,
% 50.60/33.22 (m_processor_v_writable(c_p1, s5)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[103, 91])).
% 50.60/33.22 tff(19384,plain,
% 50.60/33.22 (node56(c_p1, s5)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[88, 19383])).
% 50.60/33.22 tff(19385,plain,
% 50.60/33.22 (m_processor_v_state(c_p1, s5, c_owned)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[80, 19384])).
% 50.60/33.22 tff(19386,plain,
% 50.60/33.22 (~m_processor_v_state(c_p1, s5, c_invalid)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[13858, 19385])).
% 50.60/33.22 tff(19387,plain,
% 50.60/33.22 (m_main_v_CMD(s4, c_read_h_owned)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[17687, 1612, 1218, 19324])).
% 50.60/33.22 tff(19388,plain,
% 50.60/33.22 (m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[1953, 19387])).
% 50.60/33.22 tff(19389,plain,
% 50.60/33.22 (~node35(c_p1, s4)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19155, 316, 19388])).
% 50.60/33.22 tff(19390,plain,
% 50.60/33.22 (~m_processor_v_state(c_p1, s4, c_shared)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19148, 19389, 19386, 19382, 19357])).
% 50.60/33.22 tff(19391,plain,
% 50.60/33.22 (m_processor_v_master(c_p1, s4)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19131, 19385, 6657, 6576])).
% 50.60/33.22 tff(19392,plain,
% 50.60/33.22 (~m_processor_v_master(c_p0, s4)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[1435, 794, 19391])).
% 50.60/33.22 tff(19393,plain,
% 50.60/33.22 (m_processor_v_state(c_p0, s4, c_shared)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[1147, 19392, 54, 19315])).
% 50.60/33.22 tff(19394,plain,
% 50.60/33.22 (m_processor_v_state(c_p0, s5, c_invalid)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[1188, 19393, 19316, 19392])).
% 50.60/33.22 tff(19395,plain,
% 50.60/33.22 ($false),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[1072, 137, 19394, 19315])).
% 50.60/33.22 tff(19396,plain,((~node67(s5)) | m_processor_v_state(c_p0, s4, c_owned) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s4, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.22 tff(19397,plain,
% 50.60/33.22 ($false),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19396, 19390, 19366, 91, 54])).
% 50.60/33.22 tff(19398,plain,(m_processor_v_state(c_p0, s4, c_shared) | (~node67(s5)) | m_processor_v_state(c_p0, s4, c_owned) | m_processor_v_writable(c_p1, s4)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.22 tff(19399,plain,
% 50.60/33.22 (m_processor_v_state(c_p0, s4, c_shared)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19398, 54, 91, 6556])).
% 50.60/33.22 tff(19400,plain,
% 50.60/33.22 (~node32(c_p0, s4, s5)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[1083, 19399, 19316])).
% 50.60/33.22 tff(19401,plain,
% 50.60/33.22 (~m_processor_v_abort(c_p0, s4)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[1124, 19400])).
% 50.60/33.22 tff(19402,plain,
% 50.60/33.22 (node60(c_p0, s4)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[1353, 19401])).
% 50.60/33.22 tff(19403,plain,
% 50.60/33.22 (~m_processor_v_state(c_p0, s4, c_invalid)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[1625, 19399])).
% 50.60/33.22 tff(19404,plain,
% 50.60/33.22 (m_processor_v_state(c_p0, s5, c_owned)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[955, 953, 814])).
% 50.60/33.22 tff(19405,plain,
% 50.60/33.22 (m_processor_v_state(c_p0, s4, c_shared)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[1101, 54, 1095])).
% 50.60/33.22 tff(19406,plain,
% 50.60/33.22 (~m_main_v_CMD(s4, c_read_h_owned)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[1692, 1160])).
% 50.60/33.22 tff(19407,plain,
% 50.60/33.22 (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[17687, 1612, 1218, 1659])).
% 50.60/33.22 tff(19408,plain,
% 50.60/33.22 (~node62(c_p0, s4)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[1636, 1633, 1095])).
% 50.60/33.22 tff(19409,plain,
% 50.60/33.22 (~m_processor_v_master(c_p0, s4)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[1682, 19408, 1659, 1620, 1075])).
% 50.60/33.22 tff(19410,plain,
% 50.60/33.22 (m_processor_v_abort(c_p0, s4)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[1181, 19409, 953, 1075, 814, 19407])).
% 50.60/33.22 tff(19411,plain,
% 50.60/33.22 (node32(c_p0, s4, s5)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[1124, 19410])).
% 50.60/33.22 tff(19412,plain,
% 50.60/33.22 ($false),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[1081, 380, 1075, 953, 19411])).
% 50.60/33.22 tff(19413,plain,((~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_state(c_p0, s5, c_shared) | m_processor_v_state(c_p0, s5, c_invalid) | m_main_v_CMD(s4, c_read_h_owned) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | m_processor_v_state(c_p0, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.22 tff(19414,plain,
% 50.60/33.22 (~m_processor_v_cmd(c_p1, s4, c_idle)),
% 50.60/33.22 inference(unit_resolution,[status(thm)],[19413, 19405, 1095, 19406, 953, 814])).
% 50.60/33.23 tff(19415,plain,
% 50.60/33.23 (m_processor_v_master(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1517, 19414])).
% 50.60/33.23 tff(19416,plain,
% 50.60/33.23 (~m_processor_v_master(c_p0, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1435, 794, 19415])).
% 50.60/33.23 tff(19417,plain,
% 50.60/33.23 (m_processor_v_abort(c_p0, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1181, 19416, 953, 19405, 814, 1160])).
% 50.60/33.23 tff(19418,plain,
% 50.60/33.23 (node32(c_p0, s4, s5)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1124, 19417])).
% 50.60/33.23 tff(19419,plain,
% 50.60/33.23 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p0, s4, c_owned) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~node32(c_p0, s4, s5)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p0, s4, c_owned) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~node32(c_p0, s4, s5)))),
% 50.60/33.23 inference(rewrite,[status(thm)],[])).
% 50.60/33.23 tff(19420,plain,
% 50.60/33.23 (((~node32(c_p0, s4, s5)) | m_processor_v_state(c_p0, s4, c_owned) | (~m_processor_v_state(c_p0, s5, c_owned))) <=> (m_processor_v_state(c_p0, s4, c_owned) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~node32(c_p0, s4, s5)))),
% 50.60/33.23 inference(rewrite,[status(thm)],[])).
% 50.60/33.23 tff(19421,plain,
% 50.60/33.23 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p0, s4, s5)) | m_processor_v_state(c_p0, s4, c_owned) | (~m_processor_v_state(c_p0, s5, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p0, s4, c_owned) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~node32(c_p0, s4, s5))))),
% 50.60/33.23 inference(monotonicity,[status(thm)],[19420])).
% 50.60/33.23 tff(19422,plain,
% 50.60/33.23 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p0, s4, s5)) | m_processor_v_state(c_p0, s4, c_owned) | (~m_processor_v_state(c_p0, s5, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p0, s4, c_owned) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~node32(c_p0, s4, s5)))),
% 50.60/33.23 inference(transitivity,[status(thm)],[19421, 19419])).
% 50.60/33.23 tff(19423,plain,
% 50.60/33.23 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p0, s4, s5)) | m_processor_v_state(c_p0, s4, c_owned) | (~m_processor_v_state(c_p0, s5, c_owned)))),
% 50.60/33.23 inference(quant_inst,[status(thm)],[])).
% 50.60/33.23 tff(19424,plain,
% 50.60/33.23 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p0, s4, c_owned) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~node32(c_p0, s4, s5))),
% 50.60/33.23 inference(modus_ponens,[status(thm)],[19423, 19422])).
% 50.60/33.23 tff(19425,plain,
% 50.60/33.23 ($false),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19424, 261, 54, 19418, 19404])).
% 50.60/33.23 tff(19426,plain,(m_processor_v_state(c_p0, s4, c_owned) | m_processor_v_state(c_p0, s5, c_shared) | m_processor_v_state(c_p0, s5, c_invalid) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.23 tff(19427,plain,
% 50.60/33.23 (m_processor_v_CMD(c_p0, s4, c_read_h_owned)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19426, 19403, 54, 19316, 19317])).
% 50.60/33.23 tff(19428,plain,
% 50.60/33.23 (~node59(c_p0, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19327, 707, 19427])).
% 50.60/33.23 tff(19429,plain,
% 50.60/33.23 (~m_processor_v_REPLY_h_WAITING(c_p0, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19334, 724, 19428, 19402])).
% 50.60/33.23 tff(19430,plain,
% 50.60/33.23 (~m_main_v_REPLY_h_WAITING(s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19340, 19429])).
% 50.60/33.23 tff(19431,plain,
% 50.60/33.23 (node6(s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19347, 19430])).
% 50.60/33.23 tff(19432,plain,
% 50.60/33.23 (~m_processor_v_reply_h_waiting(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19355, 19431])).
% 50.60/33.23 tff(19433,plain,
% 50.60/33.23 (m_processor_v_master(c_p0, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1188, 19399, 19316, 19317])).
% 50.60/33.23 tff(19434,plain,
% 50.60/33.23 (~m_processor_v_master(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1435, 794, 19433])).
% 50.60/33.23 tff(19435,plain,
% 50.60/33.23 ((~m_processor_v_waiting(c_p1, s4)) | m_processor_v_reply_h_waiting(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19363, 2296, 19434])).
% 50.60/33.23 tff(19436,plain,
% 50.60/33.23 (~m_processor_v_waiting(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19435, 19432])).
% 50.60/33.23 tff(19437,plain,
% 50.60/33.23 (~m_processor_v_state(c_p1, s4, c_owned)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[10617, 10614, 6556, 19436])).
% 50.60/33.23 tff(19438,plain,
% 50.60/33.23 (~m_processor_v_REPLY_h_STALL(c_p0, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1368, 19402])).
% 50.60/33.23 tff(19439,plain,
% 50.60/33.23 (~m_main_v_REPLY_h_STALL(s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1386, 19438])).
% 50.60/33.23 tff(19440,plain,
% 50.60/33.23 (~m_processor_v_REPLY_h_STALL(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1404, 19439])).
% 50.60/33.23 tff(19441,plain,
% 50.60/33.23 (~m_processor_v_REPLY_h_WAITING(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19374, 19430])).
% 50.60/33.23 tff(19442,plain,
% 50.60/33.23 (~node61(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19380, 19441])).
% 50.60/33.23 tff(19443,plain,
% 50.60/33.23 (~m_processor_v_abort(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1422, 19442, 19440])).
% 50.60/33.23 tff(19444,plain,
% 50.60/33.23 (m_processor_v_cmd(c_p1, s4, c_idle)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1517, 19434])).
% 50.60/33.23 tff(19445,plain,
% 50.60/33.23 (m_main_v_CMD(s4, c_read_h_owned)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19413, 19444, 19317, 19316, 19403, 19399])).
% 50.60/33.23 tff(19446,plain,
% 50.60/33.23 (m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1953, 19445])).
% 50.60/33.23 tff(19447,plain,
% 50.60/33.23 (~node35(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19155, 316, 19446])).
% 50.60/33.23 tff(19448,plain,
% 50.60/33.23 (~m_processor_v_state(c_p1, s4, c_shared)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19148, 19447, 19386, 19443, 19434])).
% 50.60/33.23 tff(19449,plain,
% 50.60/33.23 ($false),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19396, 19448, 19437, 91, 54])).
% 50.60/33.23 tff(19450,plain,(m_processor_v_state(c_p0, s4, c_owned) | (~node67(s5)) | m_processor_v_writable(c_p1, s4)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.23 tff(19451,plain,
% 50.60/33.23 (m_processor_v_state(c_p0, s4, c_owned)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19450, 19108, 13508])).
% 50.60/33.23 tff(19452,plain,
% 50.60/33.23 (m_processor_v_waiting(c_p0, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[9842, 2642, 1752])).
% 50.60/33.23 tff(19453,plain,
% 50.60/33.23 (~m_processor_v_abort(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[6859, 19164])).
% 50.60/33.23 tff(19454,plain,
% 50.60/33.23 (node60(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1430, 19453])).
% 50.60/33.23 tff(19455,plain,
% 50.60/33.23 (m_processor_v_master(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19185, 160, 17369, 559])).
% 50.60/33.23 tff(19456,plain,
% 50.60/33.23 (~m_processor_v_master(c_p0, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1435, 794, 19455])).
% 50.60/33.23 tff(19457,assumption,(m_processor_v_waiting(c_p0, s4)), introduced(assumption)).
% 50.60/33.23 tff(19458,plain,
% 50.60/33.23 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p0, s4)) | m_processor_v_master(c_p0, s4) | m_processor_v_reply_h_waiting(c_p0, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s4)) | m_processor_v_master(c_p0, s4) | m_processor_v_reply_h_waiting(c_p0, s4))),
% 50.60/33.23 inference(rewrite,[status(thm)],[])).
% 50.60/33.23 tff(19459,plain,
% 50.60/33.23 ((m_processor_v_master(c_p0, s4) | (~m_processor_v_waiting(c_p0, s4)) | m_processor_v_reply_h_waiting(c_p0, s4)) <=> ((~m_processor_v_waiting(c_p0, s4)) | m_processor_v_master(c_p0, s4) | m_processor_v_reply_h_waiting(c_p0, s4))),
% 50.60/33.23 inference(rewrite,[status(thm)],[])).
% 50.60/33.23 tff(19460,plain,
% 50.60/33.23 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s4) | (~m_processor_v_waiting(c_p0, s4)) | m_processor_v_reply_h_waiting(c_p0, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p0, s4)) | m_processor_v_master(c_p0, s4) | m_processor_v_reply_h_waiting(c_p0, s4)))),
% 50.60/33.23 inference(monotonicity,[status(thm)],[19459])).
% 50.60/33.23 tff(19461,plain,
% 50.60/33.23 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s4) | (~m_processor_v_waiting(c_p0, s4)) | m_processor_v_reply_h_waiting(c_p0, s4))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s4)) | m_processor_v_master(c_p0, s4) | m_processor_v_reply_h_waiting(c_p0, s4))),
% 50.60/33.23 inference(transitivity,[status(thm)],[19460, 19458])).
% 50.60/33.23 tff(19462,plain,
% 50.60/33.23 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s4) | (~m_processor_v_waiting(c_p0, s4)) | m_processor_v_reply_h_waiting(c_p0, s4))),
% 50.60/33.23 inference(quant_inst,[status(thm)],[])).
% 50.60/33.23 tff(19463,plain,
% 50.60/33.23 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s4)) | m_processor_v_master(c_p0, s4) | m_processor_v_reply_h_waiting(c_p0, s4)),
% 50.60/33.23 inference(modus_ponens,[status(thm)],[19462, 19461])).
% 50.60/33.23 tff(19464,plain,
% 50.60/33.23 (m_processor_v_master(c_p0, s4) | m_processor_v_reply_h_waiting(c_p0, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19463, 2296, 19457])).
% 50.60/33.23 tff(19465,plain,
% 50.60/33.23 (m_processor_v_reply_h_waiting(c_p0, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19464, 19456])).
% 50.60/33.23 tff(19466,assumption,(m_processor_v_reply_h_waiting(c_p0, s4)), introduced(assumption)).
% 50.60/33.23 tff(19467,plain,
% 50.60/33.23 (((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | ((~node6(s4)) | (~m_processor_v_reply_h_waiting(c_p0, s4)))) <=> ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | (~node6(s4)) | (~m_processor_v_reply_h_waiting(c_p0, s4)))),
% 50.60/33.23 inference(rewrite,[status(thm)],[])).
% 50.60/33.23 tff(19468,plain,
% 50.60/33.23 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | ((~node6(s4)) | (~m_processor_v_reply_h_waiting(c_p0, s4)))),
% 50.60/33.23 inference(quant_inst,[status(thm)],[])).
% 50.60/33.23 tff(19469,plain,
% 50.60/33.23 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | (~node6(s4)) | (~m_processor_v_reply_h_waiting(c_p0, s4))),
% 50.60/33.23 inference(modus_ponens,[status(thm)],[19468, 19467])).
% 50.60/33.23 tff(19470,plain,
% 50.60/33.23 ($false),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19469, 778, 19466, 19350])).
% 50.60/33.23 tff(19471,plain,((~m_processor_v_reply_h_waiting(c_p0, s4)) | (~node6(s4))), inference(lemma,lemma(discharge,[]))).
% 50.60/33.23 tff(19472,plain,
% 50.60/33.23 (~node6(s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19471, 19465])).
% 50.60/33.23 tff(19473,plain,
% 50.60/33.23 (m_main_v_REPLY_h_WAITING(s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19347, 19472])).
% 50.60/33.23 tff(19474,plain,
% 50.60/33.23 (m_processor_v_REPLY_h_WAITING(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1922, 19473])).
% 50.60/33.23 tff(19475,plain,
% 50.60/33.23 (node59(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1933, 19474, 19454])).
% 50.60/33.23 tff(19476,plain,
% 50.60/33.23 (node34(c_p1, s4, s5)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[17176, 19453, 19455])).
% 50.60/33.23 tff(19477,plain,
% 50.60/33.23 (~node33(c_p1, s4, s5)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19285, 399, 17369, 160])).
% 50.60/33.23 tff(19478,plain,
% 50.60/33.23 (m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19236, 19477, 160, 559, 19476])).
% 50.60/33.23 tff(19479,plain,
% 50.60/33.23 ($false),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1960, 707, 19478, 19475])).
% 50.60/33.23 tff(19480,plain,(m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_state(c_p1, s5, c_invalid) | (~m_processor_v_waiting(c_p0, s4)) | (~m_processor_v_state(c_p1, s4, c_shared))), inference(lemma,lemma(discharge,[]))).
% 50.60/33.23 tff(19481,plain,
% 50.60/33.23 (~m_processor_v_state(c_p1, s4, c_shared)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19480, 19452, 19134, 19107])).
% 50.60/33.23 tff(19482,plain,
% 50.60/33.23 (~node32(c_p1, s4, s5)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[16706, 19246, 19134])).
% 50.60/33.23 tff(19483,plain,
% 50.60/33.23 (~m_processor_v_abort(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[6859, 19482])).
% 50.60/33.23 tff(19484,plain,
% 50.60/33.23 (node60(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1430, 19483])).
% 50.60/33.23 tff(19485,plain,
% 50.60/33.23 (m_processor_v_master(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19131, 19192, 13853, 6657])).
% 50.60/33.23 tff(19486,plain,
% 50.60/33.23 (~m_processor_v_master(c_p0, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1435, 794, 19485])).
% 50.60/33.23 tff(19487,plain,
% 50.60/33.23 (m_processor_v_reply_h_waiting(c_p0, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19464, 19486])).
% 50.60/33.23 tff(19488,plain,
% 50.60/33.23 (~node6(s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19471, 19487])).
% 50.60/33.23 tff(19489,plain,
% 50.60/33.23 (m_main_v_REPLY_h_WAITING(s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19347, 19488])).
% 50.60/33.23 tff(19490,plain,
% 50.60/33.23 (m_processor_v_REPLY_h_WAITING(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1922, 19489])).
% 50.60/33.23 tff(19491,plain,
% 50.60/33.23 (node59(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1933, 19490, 19484])).
% 50.60/33.23 tff(19492,plain,
% 50.60/33.23 (m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19242, 19192, 14036, 6657, 19134])).
% 50.60/33.23 tff(19493,plain,
% 50.60/33.23 ($false),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1960, 707, 19492, 19491])).
% 50.60/33.23 tff(19494,plain,(m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_waiting(c_p0, s4)) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_master(c_p1, s3)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.23 tff(19495,plain,
% 50.60/33.23 (m_processor_v_master(c_p1, s3)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19494, 19481, 13853, 5656, 19452])).
% 50.60/33.23 tff(19496,plain,
% 50.60/33.23 ($false),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[9444, 794, 9825, 19495])).
% 50.60/33.23 tff(19497,plain,(m_processor_v_state(c_p0, s3, c_owned) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p0, s4, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.60/33.23 tff(19498,plain,
% 50.60/33.23 (m_processor_v_state(c_p0, s3, c_owned)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19497, 5656, 13853, 19451])).
% 50.60/33.23 tff(19499,plain,
% 50.60/33.23 (m_processor_v_waiting(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[10617, 10614, 19132, 13508])).
% 50.60/33.23 tff(19500,plain,
% 50.60/33.23 (m_processor_v_reply_h_waiting(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19363, 2296, 1439, 19499])).
% 50.60/33.23 tff(19501,plain,
% 50.60/33.23 (~node6(s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19355, 19500])).
% 50.60/33.23 tff(19502,plain,
% 50.60/33.23 (m_main_v_REPLY_h_WAITING(s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19347, 19501])).
% 50.60/33.23 tff(19503,plain,
% 50.60/33.23 (m_processor_v_REPLY_h_WAITING(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1922, 19502])).
% 50.60/33.23 tff(19504,assumption,(node46(c_p1, s4, s5)), introduced(assumption)).
% 50.60/33.23 tff(19505,assumption,(m_processor_v_waiting(c_p1, s4)), introduced(assumption)).
% 50.60/33.23 tff(19506,plain,
% 50.60/33.23 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p1, s4)) | m_processor_v_waiting(c_p1, s5) | (~node46(c_p1, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s4)) | m_processor_v_waiting(c_p1, s5) | (~node46(c_p1, s4, s5)))),
% 50.60/33.23 inference(rewrite,[status(thm)],[])).
% 50.60/33.23 tff(19507,plain,
% 50.60/33.23 ((m_processor_v_waiting(c_p1, s5) | (~m_processor_v_waiting(c_p1, s4)) | (~node46(c_p1, s4, s5))) <=> ((~m_processor_v_waiting(c_p1, s4)) | m_processor_v_waiting(c_p1, s5) | (~node46(c_p1, s4, s5)))),
% 50.60/33.23 inference(rewrite,[status(thm)],[])).
% 50.60/33.23 tff(19508,plain,
% 50.60/33.23 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s5) | (~m_processor_v_waiting(c_p1, s4)) | (~node46(c_p1, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p1, s4)) | m_processor_v_waiting(c_p1, s5) | (~node46(c_p1, s4, s5))))),
% 50.60/33.23 inference(monotonicity,[status(thm)],[19507])).
% 50.60/33.23 tff(19509,plain,
% 50.60/33.23 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s5) | (~m_processor_v_waiting(c_p1, s4)) | (~node46(c_p1, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s4)) | m_processor_v_waiting(c_p1, s5) | (~node46(c_p1, s4, s5)))),
% 50.60/33.23 inference(transitivity,[status(thm)],[19508, 19506])).
% 50.60/33.23 tff(19510,plain,
% 50.60/33.23 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s5) | (~m_processor_v_waiting(c_p1, s4)) | (~node46(c_p1, s4, s5)))),
% 50.60/33.23 inference(quant_inst,[status(thm)],[])).
% 50.60/33.23 tff(19511,plain,
% 50.60/33.23 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s4)) | m_processor_v_waiting(c_p1, s5) | (~node46(c_p1, s4, s5))),
% 50.60/33.23 inference(modus_ponens,[status(thm)],[19510, 19509])).
% 50.60/33.23 tff(19512,plain,
% 50.60/33.23 ($false),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19511, 11708, 19191, 19505, 19504])).
% 50.60/33.23 tff(19513,plain,((~node46(c_p1, s4, s5)) | m_processor_v_waiting(c_p1, s5) | (~m_processor_v_waiting(c_p1, s4))), inference(lemma,lemma(discharge,[]))).
% 50.60/33.23 tff(19514,plain,
% 50.60/33.23 (~node46(c_p1, s4, s5)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19513, 19499, 19117])).
% 50.60/33.23 tff(19515,plain,
% 50.60/33.23 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s4)) | (~node53(c_p1, s4, s5)) | node46(c_p1, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p1, s4)) | (~node53(c_p1, s4, s5)) | node46(c_p1, s4, s5))),
% 50.60/33.23 inference(rewrite,[status(thm)],[])).
% 50.60/33.23 tff(19516,plain,
% 50.60/33.23 (((~m_processor_v_abort(c_p1, s4)) | node46(c_p1, s4, s5) | (~node53(c_p1, s4, s5))) <=> ((~m_processor_v_abort(c_p1, s4)) | (~node53(c_p1, s4, s5)) | node46(c_p1, s4, s5))),
% 50.60/33.23 inference(rewrite,[status(thm)],[])).
% 50.60/33.23 tff(19517,plain,
% 50.60/33.23 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s4)) | node46(c_p1, s4, s5) | (~node53(c_p1, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s4)) | (~node53(c_p1, s4, s5)) | node46(c_p1, s4, s5)))),
% 50.60/33.23 inference(monotonicity,[status(thm)],[19516])).
% 50.60/33.23 tff(19518,plain,
% 50.60/33.23 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s4)) | node46(c_p1, s4, s5) | (~node53(c_p1, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p1, s4)) | (~node53(c_p1, s4, s5)) | node46(c_p1, s4, s5))),
% 50.60/33.23 inference(transitivity,[status(thm)],[19517, 19515])).
% 50.60/33.23 tff(19519,plain,
% 50.60/33.23 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s4)) | node46(c_p1, s4, s5) | (~node53(c_p1, s4, s5)))),
% 50.60/33.23 inference(quant_inst,[status(thm)],[])).
% 50.60/33.23 tff(19520,plain,
% 50.60/33.23 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p1, s4)) | (~node53(c_p1, s4, s5)) | node46(c_p1, s4, s5)),
% 50.60/33.23 inference(modus_ponens,[status(thm)],[19519, 19518])).
% 50.60/33.23 tff(19521,plain,
% 50.60/33.23 ((~m_processor_v_abort(c_p1, s4)) | node46(c_p1, s4, s5)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19520, 11690, 19252])).
% 50.60/33.23 tff(19522,plain,
% 50.60/33.23 (~m_processor_v_abort(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19521, 19514])).
% 50.60/33.23 tff(19523,plain,
% 50.60/33.23 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p1, s4) | (~node48(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p1, s4) | (~node48(c_p1, s4)))),
% 50.60/33.23 inference(rewrite,[status(thm)],[])).
% 50.60/33.23 tff(19524,plain,
% 50.60/33.23 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p1, s4) | (~node48(c_p1, s4)))),
% 50.60/33.23 inference(quant_inst,[status(thm)],[])).
% 50.60/33.23 tff(19525,plain,
% 50.60/33.23 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p1, s4) | (~node48(c_p1, s4))),
% 50.60/33.23 inference(modus_ponens,[status(thm)],[19524, 19523])).
% 50.60/33.23 tff(19526,plain,
% 50.60/33.23 (~node48(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19525, 11562, 1439])).
% 50.60/33.23 tff(19527,assumption,(node52(c_p1, s4, s5)), introduced(assumption)).
% 50.60/33.23 tff(19528,plain,
% 50.60/33.23 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p1, s4)) | m_processor_v_waiting(c_p1, s5) | (~node52(c_p1, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s4)) | m_processor_v_waiting(c_p1, s5) | (~node52(c_p1, s4, s5)))),
% 50.60/33.23 inference(rewrite,[status(thm)],[])).
% 50.60/33.23 tff(19529,plain,
% 50.60/33.23 ((m_processor_v_waiting(c_p1, s5) | (~m_processor_v_waiting(c_p1, s4)) | (~node52(c_p1, s4, s5))) <=> ((~m_processor_v_waiting(c_p1, s4)) | m_processor_v_waiting(c_p1, s5) | (~node52(c_p1, s4, s5)))),
% 50.60/33.23 inference(rewrite,[status(thm)],[])).
% 50.60/33.23 tff(19530,plain,
% 50.60/33.23 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s5) | (~m_processor_v_waiting(c_p1, s4)) | (~node52(c_p1, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p1, s4)) | m_processor_v_waiting(c_p1, s5) | (~node52(c_p1, s4, s5))))),
% 50.60/33.23 inference(monotonicity,[status(thm)],[19529])).
% 50.60/33.23 tff(19531,plain,
% 50.60/33.23 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s5) | (~m_processor_v_waiting(c_p1, s4)) | (~node52(c_p1, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s4)) | m_processor_v_waiting(c_p1, s5) | (~node52(c_p1, s4, s5)))),
% 50.60/33.23 inference(transitivity,[status(thm)],[19530, 19528])).
% 50.60/33.23 tff(19532,plain,
% 50.60/33.23 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s5) | (~m_processor_v_waiting(c_p1, s4)) | (~node52(c_p1, s4, s5)))),
% 50.60/33.23 inference(quant_inst,[status(thm)],[])).
% 50.60/33.23 tff(19533,plain,
% 50.60/33.23 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s4)) | m_processor_v_waiting(c_p1, s5) | (~node52(c_p1, s4, s5))),
% 50.60/33.23 inference(modus_ponens,[status(thm)],[19532, 19531])).
% 50.60/33.23 tff(19534,plain,
% 50.60/33.23 ($false),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19533, 10820, 19191, 19505, 19527])).
% 50.60/33.23 tff(19535,plain,((~node52(c_p1, s4, s5)) | m_processor_v_waiting(c_p1, s5) | (~m_processor_v_waiting(c_p1, s4))), inference(lemma,lemma(discharge,[]))).
% 50.60/33.23 tff(19536,plain,
% 50.60/33.23 (~node52(c_p1, s4, s5)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19535, 19499, 19117])).
% 50.60/33.23 tff(19537,plain,
% 50.60/33.23 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p1, s4) | (~node47(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p1, s4) | (~node47(c_p1, s4)))),
% 50.60/33.23 inference(rewrite,[status(thm)],[])).
% 50.60/33.23 tff(19538,plain,
% 50.60/33.23 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p1, s4) | (~node47(c_p1, s4)))),
% 50.60/33.23 inference(quant_inst,[status(thm)],[])).
% 50.60/33.23 tff(19539,plain,
% 50.60/33.23 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p1, s4) | (~node47(c_p1, s4))),
% 50.60/33.23 inference(modus_ponens,[status(thm)],[19538, 19537])).
% 50.60/33.23 tff(19540,plain,
% 50.60/33.23 (~node47(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19539, 12108, 1439])).
% 50.60/33.23 tff(19541,plain,
% 50.60/33.23 (m_processor_v_cmd(c_p1, s4, c_idle)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1517, 1439])).
% 50.60/33.23 tff(19542,plain,
% 50.60/33.23 (m_processor_v_state(c_p1, s3, c_shared)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[6646, 5091, 5656])).
% 50.60/33.23 tff(19543,plain,
% 50.60/33.23 (~node56(c_p0, s2)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[5742, 9376])).
% 50.60/33.23 tff(19544,plain,
% 50.60/33.23 (~m_processor_v_writable(c_p0, s2)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[5735, 19543])).
% 50.60/33.23 tff(19545,plain,
% 50.60/33.23 (~node67(s2)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[5727, 43, 19544])).
% 50.60/33.23 tff(19546,plain,
% 50.60/33.23 (~node56(c_p0, s3)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[2648, 13, 9513])).
% 50.60/33.23 tff(19547,plain,
% 50.60/33.23 (~m_processor_v_writable(c_p0, s3)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[2637, 28, 19546])).
% 50.60/33.23 tff(19548,plain,
% 50.60/33.23 (~node67(s3)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[2629, 43, 19547])).
% 50.60/33.23 tff(19549,plain,
% 50.60/33.23 (node67(s5)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[6250, 13509, 5668, 5932, 19548, 5949, 5667, 19545])).
% 50.60/33.23 tff(19550,plain,
% 50.60/33.23 (m_processor_v_writable(c_p1, s5)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[103, 19549])).
% 50.60/33.23 tff(19551,plain,
% 50.60/33.23 (node56(c_p1, s5)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[88, 19550])).
% 50.60/33.23 tff(19552,plain,
% 50.60/33.23 (m_processor_v_state(c_p1, s5, c_owned)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[80, 19551])).
% 50.60/33.23 tff(19553,plain,
% 50.60/33.23 (~m_processor_v_state(c_p1, s5, c_shared)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[14035, 121, 19552])).
% 50.60/33.23 tff(19554,plain,
% 50.60/33.23 (m_processor_v_state(c_p0, s4, c_owned)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19450, 19549, 13508])).
% 50.60/33.23 tff(19555,plain,
% 50.60/33.23 (~m_processor_v_state(c_p0, s4, c_invalid)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1757, 19554])).
% 50.60/33.23 tff(19556,plain,
% 50.60/33.23 (m_processor_v_master(c_p0, s3)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[9440, 19555, 5494, 2622])).
% 50.60/33.23 tff(19557,plain,
% 50.60/33.23 (~m_processor_v_master(c_p1, s3)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[9444, 794, 19556])).
% 50.60/33.23 tff(19558,plain,
% 50.60/33.23 (~m_processor_v_state(c_p0, s4, c_shared)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[6888, 19554])).
% 50.60/33.23 tff(19559,plain,
% 50.60/33.23 (node34(c_p0, s3, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[9525, 19555, 9513, 9512])).
% 50.60/33.23 tff(19560,plain,
% 50.60/33.23 (~node33(c_p0, s3, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[11950, 830, 9513, 19554])).
% 50.60/33.23 tff(19561,plain,
% 50.60/33.23 (m_processor_v_CMD(c_p0, s3, c_read_h_owned)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[9792, 19560, 19555, 19559, 19558])).
% 50.60/33.23 tff(19562,plain,
% 50.60/33.23 (~node32(c_p0, s3, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[9389, 19555, 9377])).
% 50.60/33.23 tff(19563,plain,
% 50.60/33.23 (~m_processor_v_abort(c_p0, s3)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[9403, 19562])).
% 50.60/33.23 tff(19564,plain,
% 50.60/33.23 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[9533, 416, 19558, 19559])).
% 50.60/33.23 tff(19565,plain,
% 50.60/33.23 (~node47(c_p0, s3)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[9669, 657, 19564])).
% 50.60/33.23 tff(19566,plain,
% 50.60/33.23 (m_processor_v_waiting(c_p0, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[9665, 19565, 19556, 19563, 19561])).
% 50.60/33.23 tff(19567,plain,
% 50.60/33.23 (m_processor_v_state(c_p1, s4, c_shared)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19494, 19566, 19552, 5656, 19557])).
% 50.60/33.23 tff(19568,plain,
% 50.60/33.23 (~m_processor_v_state(c_p1, s5, c_invalid)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[13858, 19552])).
% 50.60/33.23 tff(19569,plain,
% 50.60/33.23 (m_processor_v_master(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19185, 19568, 19567, 19553])).
% 50.60/33.23 tff(19570,plain,
% 50.60/33.23 (~m_processor_v_master(c_p0, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1435, 794, 19569])).
% 50.60/33.23 tff(19571,plain,
% 50.60/33.23 (m_processor_v_master(c_p0, s4) | m_processor_v_reply_h_waiting(c_p0, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19463, 2296, 19566])).
% 50.60/33.23 tff(19572,plain,
% 50.60/33.23 (m_processor_v_reply_h_waiting(c_p0, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19571, 19570])).
% 50.60/33.23 tff(19573,plain,
% 50.60/33.23 (~node6(s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19471, 19572])).
% 50.60/33.23 tff(19574,plain,
% 50.60/33.23 (~node32(c_p1, s4, s5)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19139, 19567, 19553])).
% 50.60/33.23 tff(19575,plain,
% 50.60/33.23 (~m_processor_v_abort(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[6859, 19574])).
% 50.60/33.23 tff(19576,plain,
% 50.60/33.23 (node60(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1430, 19575])).
% 50.60/33.23 tff(19577,plain,
% 50.60/33.23 (~node33(c_p1, s4, s5)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19285, 399, 19567, 19553])).
% 50.60/33.23 tff(19578,plain,
% 50.60/33.23 (node34(c_p1, s4, s5)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[17176, 19569, 19575])).
% 50.60/33.23 tff(19579,plain,
% 50.60/33.23 (m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19236, 19578, 19577, 19568, 19553])).
% 50.60/33.23 tff(19580,plain,
% 50.60/33.23 (~node59(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1960, 707, 19579])).
% 50.60/33.23 tff(19581,plain,
% 50.60/33.23 (~m_processor_v_REPLY_h_WAITING(c_p1, s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1933, 19580, 19576])).
% 50.60/33.23 tff(19582,plain,
% 50.60/33.23 (~m_main_v_REPLY_h_WAITING(s4)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[1922, 19581])).
% 50.60/33.23 tff(19583,plain,
% 50.60/33.23 ($false),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19347, 19582, 19573])).
% 50.60/33.23 tff(19584,plain,(m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_master(c_p0, s2) | node67(s6) | node67(s8) | node67(s9) | node67(s7)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.23 tff(19585,plain,
% 50.60/33.23 (m_processor_v_master(c_p0, s2)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19584, 5494, 5949, 5656, 5668, 5667, 5932])).
% 50.60/33.23 tff(19586,plain,
% 50.60/33.23 (~node32(c_p0, s2, s3)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[5496, 5494, 2722])).
% 50.60/33.23 tff(19587,plain,
% 50.60/33.23 (~m_processor_v_abort(c_p0, s2)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[2704, 19586])).
% 50.60/33.23 tff(19588,plain,
% 50.60/33.23 (node34(c_p0, s2, s3)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[9272, 19587, 19585])).
% 50.60/33.23 tff(19589,plain,
% 50.60/33.23 (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[9214, 416, 2723, 19588])).
% 50.60/33.23 tff(19590,plain,
% 50.60/33.23 (~m_main_v_CMD(s2, c_read_h_shared)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[5526, 19589])).
% 50.60/33.23 tff(19591,plain,
% 50.60/33.23 (m_main_v_CMD(s2, c_read_h_owned)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[5621, 19590, 5494, 19585])).
% 50.60/33.23 tff(19592,plain,
% 50.60/33.23 (m_processor_v_CMD(c_p1, s2, c_read_h_owned)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[5401, 19591])).
% 50.60/33.23 tff(19593,plain,
% 50.60/33.23 (~m_processor_v_master(c_p1, s2)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[5370, 794, 19585])).
% 50.60/33.23 tff(19594,plain,
% 50.60/33.23 (m_processor_v_state(c_p1, s2, c_shared)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[11751, 19593, 19542])).
% 50.60/33.23 tff(19595,plain,
% 50.60/33.23 (node60(c_p0, s2)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[10475, 19587])).
% 50.60/33.23 tff(19596,plain,
% 50.60/33.23 (~m_processor_v_REPLY_h_STALL(c_p0, s2)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[10468, 19595])).
% 50.60/33.23 tff(19597,plain,
% 50.60/33.23 (~m_main_v_REPLY_h_STALL(s2)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[10461, 19596])).
% 50.60/33.23 tff(19598,plain,
% 50.60/33.23 (~m_processor_v_REPLY_h_STALL(c_p1, s2)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[12354, 19597])).
% 50.60/33.23 tff(19599,plain,
% 50.60/33.23 (node8(s2)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[5596, 19585])).
% 50.60/33.23 tff(19600,plain,
% 50.60/33.23 (~m_processor_v_cmd(c_p0, s2, c_read_h_shared)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[5611, 19590, 19599])).
% 50.60/33.23 tff(19601,plain,
% 50.60/33.23 (m_processor_v_cmd(c_p0, s2, c_read_h_shared) | m_processor_v_cmd(c_p0, s2, c_read_h_owned)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[5618, 1835, 19585, 5494])).
% 50.60/33.23 tff(19602,plain,
% 50.60/33.23 (m_processor_v_cmd(c_p0, s2, c_read_h_owned)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19601, 19600])).
% 50.60/33.23 tff(19603,plain,
% 50.60/33.23 (~m_processor_v_cmd(c_p0, s2, c_write_h_invalid)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[10843, 3716, 19602])).
% 50.60/33.23 tff(19604,plain,
% 50.60/33.23 (~m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[10839, 3526, 19602])).
% 50.60/33.23 tff(19605,plain,
% 50.60/33.23 (~m_processor_v_cmd(c_p0, s2, c_idle)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[10847, 3189, 19602])).
% 50.60/33.23 tff(19606,plain,
% 50.60/33.23 (~m_processor_v_state(c_p0, s2, c_owned)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[11247, 19605, 19585, 19604, 19603])).
% 50.60/33.23 tff(19607,plain,
% 50.60/33.23 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s2, c_invalid)) | (~node33(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s2, c_invalid)) | (~node33(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_invalid))),
% 50.60/33.23 inference(rewrite,[status(thm)],[])).
% 50.60/33.23 tff(19608,plain,
% 50.60/33.23 (((~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid) | (~node33(c_p0, s2, s3))) <=> ((~m_processor_v_state(c_p0, s2, c_invalid)) | (~node33(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_invalid))),
% 50.60/33.23 inference(rewrite,[status(thm)],[])).
% 50.60/33.23 tff(19609,plain,
% 50.60/33.23 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid) | (~node33(c_p0, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s2, c_invalid)) | (~node33(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_invalid)))),
% 50.60/33.23 inference(monotonicity,[status(thm)],[19608])).
% 50.60/33.23 tff(19610,plain,
% 50.60/33.23 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid) | (~node33(c_p0, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s2, c_invalid)) | (~node33(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_invalid))),
% 50.60/33.23 inference(transitivity,[status(thm)],[19609, 19607])).
% 50.60/33.23 tff(19611,plain,
% 50.60/33.23 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_invalid) | (~node33(c_p0, s2, s3)))),
% 50.60/33.23 inference(quant_inst,[status(thm)],[])).
% 50.60/33.23 tff(19612,plain,
% 50.60/33.23 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s2, c_invalid)) | (~node33(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_invalid)),
% 50.60/33.23 inference(modus_ponens,[status(thm)],[19611, 19610])).
% 50.60/33.23 tff(19613,plain,
% 50.60/33.23 (~node33(c_p0, s2, s3)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[19612, 399, 5494, 2722])).
% 50.60/33.23 tff(19614,plain,
% 50.60/33.23 (node59(c_p0, s2)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[12378, 19595, 9342])).
% 50.60/33.23 tff(19615,plain,
% 50.60/33.23 (node34(c_p0, s2, s3)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[9276, 9375, 2722, 2667])).
% 50.60/33.23 tff(19616,plain,
% 50.60/33.23 (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 50.60/33.23 inference(unit_resolution,[status(thm)],[9214, 416, 2723, 9208])).
% 50.60/33.23 tff(19617,plain,
% 50.60/33.23 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_state(c_p0, s3, c_invalid) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_state(c_p0, s3, c_invalid) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_invalid)))),
% 50.60/33.24 inference(rewrite,[status(thm)],[])).
% 50.60/33.24 tff(19618,plain,
% 50.60/33.24 (((~node34(c_p0, s2, s3)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_invalid))) <=> (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_state(c_p0, s3, c_invalid) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_invalid)))),
% 50.60/33.24 inference(rewrite,[status(thm)],[])).
% 50.60/33.24 tff(19619,plain,
% 50.60/33.24 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_state(c_p0, s3, c_invalid) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_invalid))))),
% 50.60/33.24 inference(monotonicity,[status(thm)],[19618])).
% 50.60/33.24 tff(19620,plain,
% 50.60/33.24 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_state(c_p0, s3, c_invalid) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_invalid)))),
% 50.60/33.24 inference(transitivity,[status(thm)],[19619, 19617])).
% 50.60/33.24 tff(19621,plain,
% 50.60/33.24 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_invalid)))),
% 50.60/33.24 inference(quant_inst,[status(thm)],[])).
% 50.60/33.24 tff(19622,plain,
% 50.60/33.24 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_state(c_p0, s3, c_invalid) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_invalid))),
% 50.60/33.24 inference(modus_ponens,[status(thm)],[19621, 19620])).
% 50.60/33.24 tff(19623,plain,
% 50.60/33.24 (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s2, c_write_h_invalid))),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[19622, 512, 2722, 9208])).
% 50.60/33.24 tff(19624,plain,
% 50.60/33.24 (~m_processor_v_CMD(c_p0, s2, c_write_h_invalid)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[19623, 2720, 19616])).
% 50.60/33.24 tff(19625,plain,
% 50.60/33.24 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_state(c_p0, s3, c_invalid) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_state(c_p0, s3, c_invalid) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)))),
% 50.60/33.24 inference(rewrite,[status(thm)],[])).
% 50.60/33.24 tff(19626,plain,
% 50.60/33.24 (((~node34(c_p0, s2, s3)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid))) <=> (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_state(c_p0, s3, c_invalid) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)))),
% 50.60/33.24 inference(rewrite,[status(thm)],[])).
% 50.60/33.24 tff(19627,plain,
% 50.60/33.24 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_state(c_p0, s3, c_invalid) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid))))),
% 50.60/33.24 inference(monotonicity,[status(thm)],[19626])).
% 50.60/33.24 tff(19628,plain,
% 50.60/33.24 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_state(c_p0, s3, c_invalid) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)))),
% 50.60/33.24 inference(transitivity,[status(thm)],[19627, 19625])).
% 50.60/33.24 tff(19629,plain,
% 50.60/33.24 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)))),
% 50.60/33.24 inference(quant_inst,[status(thm)],[])).
% 50.60/33.24 tff(19630,plain,
% 50.60/33.24 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_state(c_p0, s3, c_invalid) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid))),
% 50.60/33.24 inference(modus_ponens,[status(thm)],[19629, 19628])).
% 50.60/33.24 tff(19631,plain,
% 50.60/33.24 (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid))),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[19630, 438, 2722, 9208])).
% 50.60/33.24 tff(19632,plain,
% 50.60/33.24 (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[19631, 19624, 19616, 2720])).
% 50.60/33.24 tff(19633,plain,
% 50.60/33.24 (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_shared))),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[9223, 456, 2723, 9208])).
% 50.60/33.24 tff(19634,plain,
% 50.60/33.24 (~m_processor_v_CMD(c_p0, s2, c_write_h_shared)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[19633, 19624, 19616, 2720, 19632])).
% 50.60/33.24 tff(19635,plain,
% 50.60/33.24 (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[9232, 474, 9208, 9226])).
% 50.60/33.24 tff(19636,plain,
% 50.60/33.24 (m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[19635, 19634, 19616, 2720, 19624, 19632])).
% 50.60/33.24 tff(19637,plain,
% 50.60/33.24 (m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_CMD(c_p0, s2, c_write_h_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared))),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[9240, 492, 2723, 9208])).
% 50.60/33.24 tff(19638,plain,
% 50.60/33.24 ($false),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[19637, 19636, 19634, 19616, 2720, 19624, 19632])).
% 50.60/33.24 tff(19639,plain,(m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_shared) | (~node34(c_p0, s2, s3)) | node33(c_p0, s2, s3) | m_processor_v_state(c_p0, s3, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.24 tff(19640,plain,
% 50.60/33.24 (m_processor_v_CMD(c_p0, s2, c_read_h_owned)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[19639, 19615, 2723, 9226, 2722])).
% 50.60/33.24 tff(19641,plain,
% 50.60/33.24 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~node59(c_p0, s2)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~node59(c_p0, s2)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)))),
% 50.60/33.24 inference(rewrite,[status(thm)],[])).
% 50.60/33.24 tff(19642,plain,
% 50.60/33.24 (((~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~node59(c_p0, s2))) <=> ((~node59(c_p0, s2)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)))),
% 50.60/33.24 inference(rewrite,[status(thm)],[])).
% 50.60/33.24 tff(19643,plain,
% 50.60/33.24 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~node59(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~node59(c_p0, s2)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned))))),
% 50.60/33.24 inference(monotonicity,[status(thm)],[19642])).
% 50.60/33.24 tff(19644,plain,
% 50.60/33.24 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~node59(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~node59(c_p0, s2)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)))),
% 50.60/33.24 inference(transitivity,[status(thm)],[19643, 19641])).
% 50.60/33.24 tff(19645,plain,
% 50.60/33.24 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | (~node59(c_p0, s2)))),
% 50.60/33.24 inference(quant_inst,[status(thm)],[])).
% 50.60/33.24 tff(19646,plain,
% 50.60/33.24 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~node59(c_p0, s2)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned))),
% 50.60/33.24 inference(modus_ponens,[status(thm)],[19645, 19644])).
% 50.60/33.24 tff(19647,plain,
% 50.60/33.24 ($false),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[19646, 707, 19640, 19614])).
% 50.60/33.24 tff(19648,plain,((~m_processor_v_state(c_p0, s2, c_invalid)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2)) | m_processor_v_state(c_p0, s3, c_shared) | node33(c_p0, s2, s3) | m_processor_v_state(c_p0, s3, c_invalid) | m_processor_v_state(c_p0, s2, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.24 tff(19649,plain,
% 50.60/33.24 (~m_processor_v_REPLY_h_WAITING(c_p0, s2)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[19648, 19613, 2723, 2722, 5494, 19606])).
% 50.60/33.24 tff(19650,plain,
% 50.60/33.24 (~m_main_v_REPLY_h_WAITING(s2)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[12384, 19649])).
% 50.60/33.24 tff(19651,plain,
% 50.60/33.24 (~node61(c_p1, s2)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[12395, 19650])).
% 50.60/33.24 tff(19652,plain,
% 50.60/33.24 (~m_processor_v_abort(c_p1, s2)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[12403, 19651, 19598])).
% 50.60/33.24 tff(19653,plain,
% 50.60/33.24 (node35(c_p1, s2)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[5470, 19652, 19594, 19593, 5091])).
% 50.60/33.24 tff(19654,plain,
% 50.60/33.24 ($false),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[5474, 316, 19653, 19592])).
% 50.60/33.24 tff(19655,plain,((~m_processor_v_state(c_p0, s2, c_invalid)) | m_processor_v_state(c_p1, s3, c_invalid) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s3, c_invalid) | node67(s9) | m_processor_v_state(c_p1, s3, c_owned) | node67(s6) | node67(s7) | node67(s8)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.24 tff(19656,plain,
% 50.60/33.24 (~m_processor_v_state(c_p0, s2, c_invalid)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[19655, 5091, 2662, 2666, 5949, 5656, 5668, 5667, 5932])).
% 50.60/33.24 tff(19657,plain,
% 50.60/33.24 (m_processor_v_state(c_p1, s2, c_invalid)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[5074, 19656])).
% 50.60/33.24 tff(19658,plain,
% 50.60/33.24 (~m_processor_v_state(c_p1, s2, c_shared)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[5081, 19657])).
% 50.60/33.24 tff(19659,plain,
% 50.60/33.24 (m_processor_v_master(c_p1, s2)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[11751, 19658, 19542])).
% 50.60/33.24 tff(19660,plain,
% 50.60/33.24 (~m_processor_v_master(c_p0, s2)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[5370, 794, 19659])).
% 50.60/33.24 tff(19661,plain,
% 50.60/33.24 (m_processor_v_state(c_p0, s2, c_owned)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[2775, 19660, 2652])).
% 50.60/33.24 tff(19662,plain,
% 50.60/33.24 (m_processor_v_reply_h_owned(c_p0, s2)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[10173, 10170, 19660, 19661])).
% 50.60/33.24 tff(19663,plain,
% 50.60/33.24 (~node5(s2)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[10188, 10185, 19662])).
% 50.60/33.24 tff(19664,plain,
% 50.60/33.24 (m_main_v_REPLY_h_OWNED(s2)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[10199, 10196, 19663])).
% 50.60/33.24 tff(19665,plain,
% 50.60/33.24 (~node17(s2)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[5171, 19659])).
% 50.60/33.24 tff(19666,plain,
% 50.60/33.24 (~m_memory_v_master(c_m, s2)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[5179, 19665])).
% 50.60/33.24 tff(19667,plain,
% 50.60/33.24 (~node19(c_m, s2)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[10030, 19666])).
% 50.60/33.24 tff(19668,plain,
% 50.60/33.24 (~m_processor_v_state(c_p1, s2, c_owned)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[5490, 19657])).
% 50.60/33.24 tff(19669,plain,
% 50.60/33.24 (m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[11791, 19668, 19542, 19658])).
% 50.60/33.24 tff(19670,plain,
% 50.60/33.24 (m_main_v_CMD(s2, c_read_h_shared)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[8791, 19669])).
% 50.60/33.24 tff(19671,plain,
% 50.60/33.24 (m_memory_v_CMD(c_m, s2, c_read_h_shared)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[10352, 19670])).
% 50.60/33.24 tff(19672,plain,
% 50.60/33.24 (~node30(c_m, s2)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[10345, 19671])).
% 50.60/33.24 tff(19673,plain,
% 50.60/33.24 (~node32(c_p1, s2, s3)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[5107, 19657, 5091])).
% 50.60/33.24 tff(19674,plain,
% 50.60/33.24 (~m_processor_v_abort(c_p1, s2)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[5121, 19673])).
% 50.60/33.24 tff(19675,plain,
% 50.60/33.24 (node60(c_p1, s2)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[9293, 19674])).
% 50.60/33.24 tff(19676,plain,
% 50.60/33.24 (~m_processor_v_REPLY_h_STALL(c_p1, s2)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[9301, 19675])).
% 50.60/33.24 tff(19677,plain,
% 50.60/33.24 (~m_main_v_REPLY_h_STALL(s2)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[9309, 19676])).
% 50.60/33.24 tff(19678,plain,
% 50.60/33.24 (node7(s2)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[9916, 19677])).
% 50.60/33.24 tff(19679,plain,
% 50.60/33.24 (~m_memory_v_reply_h_stall(c_m, s2)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[9924, 19678])).
% 50.60/33.24 tff(19680,plain,
% 50.60/33.24 (~m_memory_v_busy(c_m, s2)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[9933, 19679, 19672])).
% 50.60/33.24 tff(19681,plain,
% 50.60/33.24 (~m_processor_v_master(c_p0, s3)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[9444, 794, 6711])).
% 50.60/33.24 tff(19682,plain,
% 50.60/33.24 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_master(c_p0, s3) | m_processor_v_reply_h_owned(c_p0, s3))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_master(c_p0, s3) | m_processor_v_reply_h_owned(c_p0, s3))),
% 50.60/33.24 inference(rewrite,[status(thm)],[])).
% 50.60/33.24 tff(19683,plain,
% 50.60/33.24 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_master(c_p0, s3) | m_processor_v_reply_h_owned(c_p0, s3))),
% 50.60/33.24 inference(quant_inst,[status(thm)],[])).
% 50.60/33.24 tff(19684,plain,
% 50.60/33.24 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_master(c_p0, s3) | m_processor_v_reply_h_owned(c_p0, s3)),
% 50.60/33.24 inference(modus_ponens,[status(thm)],[19683, 19682])).
% 50.60/33.24 tff(19685,plain,
% 50.60/33.24 (m_processor_v_master(c_p0, s3) | m_processor_v_reply_h_owned(c_p0, s3)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[19684, 10170, 2652])).
% 50.60/33.24 tff(19686,plain,
% 50.60/33.24 (m_processor_v_reply_h_owned(c_p0, s3)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[19685, 19681])).
% 50.60/33.24 tff(19687,plain,
% 50.60/33.24 (((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | ((~node5(s3)) | (~m_processor_v_reply_h_owned(c_p0, s3)))) <=> ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | (~node5(s3)) | (~m_processor_v_reply_h_owned(c_p0, s3)))),
% 50.60/33.24 inference(rewrite,[status(thm)],[])).
% 50.60/33.24 tff(19688,plain,
% 50.60/33.24 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | ((~node5(s3)) | (~m_processor_v_reply_h_owned(c_p0, s3)))),
% 50.60/33.24 inference(quant_inst,[status(thm)],[])).
% 50.60/33.24 tff(19689,plain,
% 50.60/33.24 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | (~node5(s3)) | (~m_processor_v_reply_h_owned(c_p0, s3))),
% 50.60/33.24 inference(modus_ponens,[status(thm)],[19688, 19687])).
% 50.60/33.24 tff(19690,plain,
% 50.60/33.24 (~node5(s3)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[19689, 10185, 19686])).
% 50.60/33.24 tff(19691,assumption,(~node5(s3)), introduced(assumption)).
% 50.60/33.24 tff(19692,assumption,(~m_main_v_REPLY_h_OWNED(s3)), introduced(assumption)).
% 50.60/33.24 tff(19693,plain,
% 50.60/33.24 (((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | (m_main_v_REPLY_h_OWNED(s3) | node5(s3))) <=> ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | m_main_v_REPLY_h_OWNED(s3) | node5(s3))),
% 50.60/33.24 inference(rewrite,[status(thm)],[])).
% 50.60/33.24 tff(19694,plain,
% 50.60/33.24 ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | (m_main_v_REPLY_h_OWNED(s3) | node5(s3))),
% 50.60/33.24 inference(quant_inst,[status(thm)],[])).
% 50.60/33.24 tff(19695,plain,
% 50.60/33.24 ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | m_main_v_REPLY_h_OWNED(s3) | node5(s3)),
% 50.60/33.24 inference(modus_ponens,[status(thm)],[19694, 19693])).
% 50.60/33.24 tff(19696,plain,
% 50.60/33.24 ($false),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[19695, 10196, 19692, 19691])).
% 50.60/33.24 tff(19697,plain,(m_main_v_REPLY_h_OWNED(s3) | node5(s3)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.24 tff(19698,plain,
% 50.60/33.24 (m_main_v_REPLY_h_OWNED(s3)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[19697, 19690])).
% 50.60/33.24 tff(19699,assumption,(~m_memory_v_REPLY_h_OWNED(c_m, s3)), introduced(assumption)).
% 50.60/33.24 tff(19700,assumption,(m_main_v_REPLY_h_OWNED(s3)), introduced(assumption)).
% 50.60/33.24 tff(19701,plain,
% 50.60/33.24 (((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | ((~m_main_v_REPLY_h_OWNED(s3)) | m_memory_v_REPLY_h_OWNED(c_m, s3))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | (~m_main_v_REPLY_h_OWNED(s3)) | m_memory_v_REPLY_h_OWNED(c_m, s3))),
% 50.60/33.24 inference(rewrite,[status(thm)],[])).
% 50.60/33.24 tff(19702,plain,
% 50.60/33.24 ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | ((~m_main_v_REPLY_h_OWNED(s3)) | m_memory_v_REPLY_h_OWNED(c_m, s3))),
% 50.60/33.24 inference(quant_inst,[status(thm)],[])).
% 50.60/33.24 tff(19703,plain,
% 50.60/33.24 ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | (~m_main_v_REPLY_h_OWNED(s3)) | m_memory_v_REPLY_h_OWNED(c_m, s3)),
% 50.60/33.24 inference(modus_ponens,[status(thm)],[19702, 19701])).
% 50.60/33.24 tff(19704,plain,
% 50.60/33.24 ($false),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[19703, 10210, 19700, 19699])).
% 50.60/33.24 tff(19705,plain,(m_memory_v_REPLY_h_OWNED(c_m, s3) | (~m_main_v_REPLY_h_OWNED(s3))), inference(lemma,lemma(discharge,[]))).
% 50.60/33.24 tff(19706,plain,
% 50.60/33.24 (m_memory_v_REPLY_h_OWNED(c_m, s3)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[19705, 19698])).
% 50.60/33.24 tff(19707,plain,
% 50.60/33.24 (m_processor_v_cmd(c_p0, s3, c_idle)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[10144, 19681])).
% 50.60/33.24 tff(19708,plain,
% 50.60/33.24 (~node17(s3)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[10022, 6711])).
% 50.60/33.24 tff(19709,plain,
% 50.60/33.24 (~m_memory_v_master(c_m, s3)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[9494, 19708])).
% 50.60/33.24 tff(19710,plain,
% 50.60/33.24 (~node29(c_m, s3)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[9502, 19709])).
% 50.60/33.24 tff(19711,plain,
% 50.60/33.24 (m_memory_v_cmd(c_m, s3, c_idle)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[9510, 19710])).
% 50.60/33.24 tff(19712,plain,
% 50.60/33.24 (~node62(c_p1, s3)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[10639, 1633, 11760])).
% 50.60/33.24 tff(19713,plain,
% 50.60/33.24 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | ((~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_cmd(c_p1, s3, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_cmd(c_p1, s3, c_read_h_owned))),
% 50.60/33.24 inference(rewrite,[status(thm)],[])).
% 50.60/33.24 tff(19714,plain,
% 50.60/33.24 ((m_processor_v_cmd(c_p1, s3, c_read_h_owned) | (~m_processor_v_state(c_p1, s3, c_shared)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3)) <=> ((~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_cmd(c_p1, s3, c_read_h_owned))),
% 50.60/33.24 inference(rewrite,[status(thm)],[])).
% 50.60/33.24 tff(19715,plain,
% 50.60/33.24 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_read_h_owned) | (~m_processor_v_state(c_p1, s3, c_shared)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | ((~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_cmd(c_p1, s3, c_read_h_owned)))),
% 50.60/33.24 inference(monotonicity,[status(thm)],[19714])).
% 50.60/33.24 tff(19716,plain,
% 50.60/33.24 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_read_h_owned) | (~m_processor_v_state(c_p1, s3, c_shared)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_cmd(c_p1, s3, c_read_h_owned))),
% 50.60/33.24 inference(transitivity,[status(thm)],[19715, 19713])).
% 50.60/33.24 tff(19717,plain,
% 50.60/33.24 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p1, s3, c_read_h_owned) | (~m_processor_v_state(c_p1, s3, c_shared)) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3))),
% 50.60/33.24 inference(quant_inst,[status(thm)],[])).
% 50.60/33.24 tff(19718,plain,
% 50.60/33.24 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_cmd(c_p1, s3, c_read_h_owned)),
% 50.60/33.24 inference(modus_ponens,[status(thm)],[19717, 19716])).
% 50.60/33.24 tff(19719,plain,
% 50.60/33.24 ((~m_processor_v_master(c_p1, s3)) | node62(c_p1, s3) | m_processor_v_cmd(c_p1, s3, c_read_h_owned)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[19718, 1650, 6659])).
% 50.60/33.24 tff(19720,plain,
% 50.60/33.24 (m_processor_v_cmd(c_p1, s3, c_read_h_owned)),
% 50.60/33.24 inference(unit_resolution,[status(thm)],[19719, 6711, 19712])).
% 50.60/33.24 tff(19721,plain,
% 50.60/33.24 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s3)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s3)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)))),
% 50.60/33.24 inference(rewrite,[status(thm)],[])).
% 50.60/33.24 tff(19722,plain,
% 50.60/33.24 ((m_main_v_CMD(s3, c_read_h_owned) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned))) <=> ((~node10(s3)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)))),
% 50.60/33.24 inference(rewrite,[status(thm)],[])).
% 50.60/33.24 tff(19723,plain,
% 50.60/33.24 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s3, c_read_h_owned) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s3)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned))))),
% 50.60/33.25 inference(monotonicity,[status(thm)],[19722])).
% 50.60/33.25 tff(19724,plain,
% 50.60/33.25 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s3, c_read_h_owned) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s3)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)))),
% 50.60/33.25 inference(transitivity,[status(thm)],[19723, 19721])).
% 50.60/33.25 tff(19725,plain,
% 50.60/33.25 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s3, c_read_h_owned) | (~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)))),
% 50.60/33.25 inference(quant_inst,[status(thm)],[])).
% 50.60/33.25 tff(19726,plain,
% 50.60/33.25 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s3)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned))),
% 50.60/33.25 inference(modus_ponens,[status(thm)],[19725, 19724])).
% 50.60/33.25 tff(19727,plain,
% 50.60/33.25 ((~node10(s3)) | (~m_processor_v_cmd(c_p1, s3, c_read_h_owned))),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[19726, 3481, 9614])).
% 50.60/33.25 tff(19728,plain,
% 50.60/33.25 (~node10(s3)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[19727, 19720])).
% 50.60/33.25 tff(19729,plain,
% 50.60/33.25 (~m_processor_v_cmd(c_p1, s3, c_idle)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[12950, 3189, 19720])).
% 50.60/33.25 tff(19730,plain,
% 50.60/33.25 (~node9(s3)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[10785, 19729])).
% 50.60/33.25 tff(19731,plain,
% 50.60/33.25 (~node16(s3)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[10569, 3386, 6711])).
% 50.60/33.25 tff(19732,plain,
% 50.60/33.25 (~m_processor_v_master(c_p2, s3)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[9562, 19731])).
% 50.60/33.25 tff(19733,plain,
% 50.60/33.25 (m_processor_v_cmd(c_p2, s3, c_idle)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[9594, 19732])).
% 50.60/33.25 tff(19734,plain,
% 50.60/33.25 ($false),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[10800, 19733, 19730, 10791, 19728, 19711])).
% 50.60/33.25 tff(19735,plain,((~m_processor_v_master(c_p1, s3)) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_processor_v_state(c_p1, s3, c_shared))), inference(lemma,lemma(discharge,[]))).
% 50.60/33.25 tff(19736,plain,
% 50.60/33.25 (m_main_v_CMD(s3, c_read_h_owned)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[19735, 19542, 6711, 19707])).
% 50.60/33.25 tff(19737,plain,
% 50.60/33.25 (m_memory_v_CMD(c_m, s3, c_read_h_owned)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[10550, 4207, 19736, 10083])).
% 50.60/33.25 tff(19738,plain,
% 50.60/33.25 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | ((~m_memory_v_CMD(c_m, s3, c_read_h_owned)) | (~node25(c_m, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | (~m_memory_v_CMD(c_m, s3, c_read_h_owned)) | (~node25(c_m, s3)))),
% 50.60/33.25 inference(rewrite,[status(thm)],[])).
% 50.60/33.25 tff(19739,plain,
% 50.60/33.25 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | ((~m_memory_v_CMD(c_m, s3, c_read_h_owned)) | (~node25(c_m, s3)))),
% 50.60/33.25 inference(quant_inst,[status(thm)],[])).
% 50.60/33.25 tff(19740,plain,
% 50.60/33.25 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | (~m_memory_v_CMD(c_m, s3, c_read_h_owned)) | (~node25(c_m, s3))),
% 50.60/33.25 inference(modus_ponens,[status(thm)],[19739, 19738])).
% 50.60/33.25 tff(19741,plain,
% 50.60/33.25 (~node25(c_m, s3)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[19740, 9959, 19737])).
% 50.60/33.25 tff(19742,assumption,(~node25(c_m, s3)), introduced(assumption)).
% 50.60/33.25 tff(19743,assumption,(m_memory_v_REPLY_h_OWNED(c_m, s3)), introduced(assumption)).
% 50.60/33.25 tff(19744,assumption,(node26(c_m, s3)), introduced(assumption)).
% 50.60/33.25 tff(19745,plain,
% 50.60/33.25 (((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | (node25(c_m, s3) | (~node26(c_m, s3)) | (~m_memory_v_REPLY_h_OWNED(c_m, s3)))) <=> ((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | node25(c_m, s3) | (~node26(c_m, s3)) | (~m_memory_v_REPLY_h_OWNED(c_m, s3)))),
% 50.60/33.25 inference(rewrite,[status(thm)],[])).
% 50.60/33.25 tff(19746,plain,
% 50.60/33.25 ((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | (node25(c_m, s3) | (~node26(c_m, s3)) | (~m_memory_v_REPLY_h_OWNED(c_m, s3)))),
% 50.60/33.25 inference(quant_inst,[status(thm)],[])).
% 50.60/33.25 tff(19747,plain,
% 50.60/33.25 ((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | node25(c_m, s3) | (~node26(c_m, s3)) | (~m_memory_v_REPLY_h_OWNED(c_m, s3))),
% 50.60/33.25 inference(modus_ponens,[status(thm)],[19746, 19745])).
% 50.60/33.25 tff(19748,plain,
% 50.60/33.25 ($false),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[19747, 10227, 19744, 19743, 19742])).
% 50.60/33.25 tff(19749,plain,((~node26(c_m, s3)) | (~m_memory_v_REPLY_h_OWNED(c_m, s3)) | node25(c_m, s3)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.25 tff(19750,plain,
% 50.60/33.25 (~node26(c_m, s3)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[19749, 19741, 19706])).
% 50.60/33.25 tff(19751,assumption,(~node26(c_m, s3)), introduced(assumption)).
% 50.60/33.25 tff(19752,plain,
% 50.60/33.25 (((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | (m_memory_v_abort(c_m, s3) | node26(c_m, s3))) <=> ((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | m_memory_v_abort(c_m, s3) | node26(c_m, s3))),
% 50.60/33.25 inference(rewrite,[status(thm)],[])).
% 50.60/33.25 tff(19753,plain,
% 50.60/33.25 ((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | (m_memory_v_abort(c_m, s3) | node26(c_m, s3))),
% 50.60/33.25 inference(quant_inst,[status(thm)],[])).
% 50.60/33.25 tff(19754,plain,
% 50.60/33.25 ((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | m_memory_v_abort(c_m, s3) | node26(c_m, s3)),
% 50.60/33.25 inference(modus_ponens,[status(thm)],[19753, 19752])).
% 50.60/33.25 tff(19755,plain,
% 50.60/33.25 ($false),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[19754, 7810, 19751, 9966])).
% 50.60/33.25 tff(19756,plain,(m_memory_v_abort(c_m, s3) | node26(c_m, s3)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.25 tff(19757,plain,
% 50.60/33.25 (m_memory_v_abort(c_m, s3)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[19756, 19750])).
% 50.60/33.25 tff(19758,plain,
% 50.60/33.25 (node18(c_m, s3, s4)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[9878, 19757])).
% 50.60/33.25 tff(19759,plain,
% 50.60/33.25 (~node32(c_p1, s3, s4)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[6667, 19542, 6657])).
% 50.60/33.25 tff(19760,plain,
% 50.60/33.25 (~m_processor_v_abort(c_p1, s3)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[6640, 19759])).
% 50.60/33.25 tff(19761,plain,
% 50.60/33.25 (node60(c_p1, s3)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[11803, 19760])).
% 50.60/33.25 tff(19762,plain,
% 50.60/33.25 (~m_processor_v_REPLY_h_STALL(c_p1, s3)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[12717, 19761])).
% 50.60/33.25 tff(19763,plain,
% 50.60/33.25 (~m_main_v_REPLY_h_STALL(s3)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[11820, 19762])).
% 50.60/33.25 tff(19764,plain,
% 50.60/33.25 (~m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[11826, 19763])).
% 50.60/33.25 tff(19765,plain,
% 50.60/33.25 (node34(c_p1, s3, s4)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[6720, 19760, 6711])).
% 50.60/33.25 tff(19766,plain,
% 50.60/33.25 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[6728, 416, 6657, 19765])).
% 50.60/33.25 tff(19767,plain,
% 50.60/33.25 (~m_main_v_CMD(s3, c_read_h_shared)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[10585, 19766])).
% 50.60/33.25 tff(19768,plain,
% 50.60/33.25 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[11528, 19767])).
% 50.60/33.25 tff(19769,plain,
% 50.60/33.25 (~node61(c_p0, s3)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[11909, 19768, 19761])).
% 50.60/33.25 tff(19770,plain,
% 50.60/33.25 (~m_processor_v_abort(c_p0, s3)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[11875, 19769, 19764])).
% 50.60/33.25 tff(19771,plain,
% 50.60/33.25 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | (~node40(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | (~node40(c_p0, s3)))),
% 50.60/33.25 inference(rewrite,[status(thm)],[])).
% 50.60/33.25 tff(19772,plain,
% 50.60/33.25 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | (~node40(c_p0, s3)))),
% 50.60/33.25 inference(quant_inst,[status(thm)],[])).
% 50.60/33.25 tff(19773,plain,
% 50.60/33.25 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | (~node40(c_p0, s3))),
% 50.60/33.25 inference(modus_ponens,[status(thm)],[19772, 19771])).
% 50.60/33.25 tff(19774,plain,
% 50.60/33.25 (~node40(c_p0, s3)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[19773, 8367, 19768])).
% 50.60/33.25 tff(19775,plain,
% 50.60/33.25 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node42(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node42(c_p0, s3)))),
% 50.60/33.25 inference(rewrite,[status(thm)],[])).
% 50.60/33.25 tff(19776,plain,
% 50.60/33.25 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node42(c_p0, s3)))),
% 50.60/33.25 inference(quant_inst,[status(thm)],[])).
% 50.60/33.25 tff(19777,plain,
% 50.60/33.25 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node42(c_p0, s3))),
% 50.60/33.25 inference(modus_ponens,[status(thm)],[19776, 19775])).
% 50.60/33.25 tff(19778,plain,
% 50.60/33.25 (~node42(c_p0, s3)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[19777, 8170, 9405])).
% 50.60/33.25 tff(19779,plain,
% 50.60/33.25 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node43(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node43(c_p0, s3)))),
% 50.60/33.25 inference(rewrite,[status(thm)],[])).
% 50.60/33.25 tff(19780,plain,
% 50.60/33.25 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | (m_processor_v_master(c_p0, s3) | (~node43(c_p0, s3)))),
% 50.60/33.25 inference(quant_inst,[status(thm)],[])).
% 50.60/33.25 tff(19781,plain,
% 50.60/33.25 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | m_processor_v_master(c_p0, s3) | (~node43(c_p0, s3))),
% 50.60/33.25 inference(modus_ponens,[status(thm)],[19780, 19779])).
% 50.60/33.25 tff(19782,plain,
% 50.60/33.25 (~node43(c_p0, s3)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[19781, 8159, 9405])).
% 50.60/33.25 tff(19783,assumption,(~node44(c_p0, s3, s4)), introduced(assumption)).
% 50.60/33.25 tff(19784,assumption,(~node40(c_p0, s3)), introduced(assumption)).
% 50.60/33.25 tff(19785,plain,
% 50.60/33.25 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s3, s4)) | node45(c_p0, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s3, s4)) | node45(c_p0, s3, s4))),
% 50.60/33.25 inference(rewrite,[status(thm)],[])).
% 50.60/33.25 tff(19786,plain,
% 50.60/33.25 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s3, s4)) | node45(c_p0, s3, s4))),
% 50.60/33.25 inference(quant_inst,[status(thm)],[])).
% 50.60/33.25 tff(19787,plain,
% 50.60/33.25 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s3, s4)) | node45(c_p0, s3, s4)),
% 50.60/33.25 inference(modus_ponens,[status(thm)],[19786, 19785])).
% 50.60/33.25 tff(19788,plain,
% 50.60/33.25 (node45(c_p0, s3, s4)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[19787, 7503, 6623])).
% 50.60/33.25 tff(19789,plain,
% 50.60/33.25 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s3) | node41(c_p0, s3) | node40(c_p0, s3) | node44(c_p0, s3, s4) | (~node45(c_p0, s3, s4)) | node43(c_p0, s3) | node42(c_p0, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p0, s3) | node41(c_p0, s3) | node40(c_p0, s3) | node44(c_p0, s3, s4) | (~node45(c_p0, s3, s4)) | node43(c_p0, s3) | node42(c_p0, s3))),
% 50.60/33.25 inference(rewrite,[status(thm)],[])).
% 50.60/33.25 tff(19790,plain,
% 50.60/33.25 ((m_processor_v_abort(c_p0, s3) | node40(c_p0, s3) | node41(c_p0, s3) | node42(c_p0, s3) | node43(c_p0, s3) | node44(c_p0, s3, s4) | (~node45(c_p0, s3, s4))) <=> (m_processor_v_abort(c_p0, s3) | node41(c_p0, s3) | node40(c_p0, s3) | node44(c_p0, s3, s4) | (~node45(c_p0, s3, s4)) | node43(c_p0, s3) | node42(c_p0, s3))),
% 50.60/33.25 inference(rewrite,[status(thm)],[])).
% 50.60/33.25 tff(19791,plain,
% 50.60/33.25 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s3) | node40(c_p0, s3) | node41(c_p0, s3) | node42(c_p0, s3) | node43(c_p0, s3) | node44(c_p0, s3, s4) | (~node45(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s3) | node41(c_p0, s3) | node40(c_p0, s3) | node44(c_p0, s3, s4) | (~node45(c_p0, s3, s4)) | node43(c_p0, s3) | node42(c_p0, s3)))),
% 50.60/33.25 inference(monotonicity,[status(thm)],[19790])).
% 50.60/33.25 tff(19792,plain,
% 50.60/33.25 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s3) | node40(c_p0, s3) | node41(c_p0, s3) | node42(c_p0, s3) | node43(c_p0, s3) | node44(c_p0, s3, s4) | (~node45(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p0, s3) | node41(c_p0, s3) | node40(c_p0, s3) | node44(c_p0, s3, s4) | (~node45(c_p0, s3, s4)) | node43(c_p0, s3) | node42(c_p0, s3))),
% 50.60/33.25 inference(transitivity,[status(thm)],[19791, 19789])).
% 50.60/33.25 tff(19793,plain,
% 50.60/33.25 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s3) | node40(c_p0, s3) | node41(c_p0, s3) | node42(c_p0, s3) | node43(c_p0, s3) | node44(c_p0, s3, s4) | (~node45(c_p0, s3, s4)))),
% 50.60/33.25 inference(quant_inst,[status(thm)],[])).
% 50.60/33.25 tff(19794,plain,
% 50.60/33.25 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p0, s3) | node41(c_p0, s3) | node40(c_p0, s3) | node44(c_p0, s3, s4) | (~node45(c_p0, s3, s4)) | node43(c_p0, s3) | node42(c_p0, s3)),
% 50.60/33.25 inference(modus_ponens,[status(thm)],[19793, 19792])).
% 50.60/33.25 tff(19795,plain,
% 50.60/33.25 (m_processor_v_abort(c_p0, s3) | node41(c_p0, s3) | node40(c_p0, s3) | node44(c_p0, s3, s4) | node43(c_p0, s3) | node42(c_p0, s3)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[19794, 7596, 19788])).
% 50.60/33.25 tff(19796,plain,
% 50.60/33.25 (node41(c_p0, s3)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[19795, 19784, 9678, 19783, 19782, 19778])).
% 50.60/33.25 tff(19797,plain,
% 50.60/33.25 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | (~node41(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | (~node41(c_p0, s3)))),
% 50.60/33.25 inference(rewrite,[status(thm)],[])).
% 50.60/33.25 tff(19798,plain,
% 50.60/33.25 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_read_h_shared) | (~node41(c_p0, s3)))),
% 50.60/33.25 inference(quant_inst,[status(thm)],[])).
% 50.60/33.25 tff(19799,plain,
% 50.60/33.25 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | (~node41(c_p0, s3))),
% 50.60/33.25 inference(modus_ponens,[status(thm)],[19798, 19797])).
% 50.60/33.25 tff(19800,plain,
% 50.60/33.25 (m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[19799, 8378, 19796])).
% 50.60/33.25 tff(19801,plain,
% 50.60/33.25 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_master(c_p0, s3) | m_processor_v_abort(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_shared) | (~node45(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_master(c_p0, s3) | m_processor_v_abort(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_shared) | (~node45(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))),
% 50.60/33.25 inference(rewrite,[status(thm)],[])).
% 50.60/33.25 tff(19802,plain,
% 50.60/33.25 (((~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | m_processor_v_master(c_p0, s3) | m_processor_v_abort(c_p0, s3) | (~node45(c_p0, s3, s4)) | m_processor_v_snoop(c_p0, s4, c_shared)) <=> ((~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_master(c_p0, s3) | m_processor_v_abort(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_shared) | (~node45(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))),
% 50.60/33.25 inference(rewrite,[status(thm)],[])).
% 50.60/33.25 tff(19803,plain,
% 50.60/33.25 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | m_processor_v_master(c_p0, s3) | m_processor_v_abort(c_p0, s3) | (~node45(c_p0, s3, s4)) | m_processor_v_snoop(c_p0, s4, c_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_master(c_p0, s3) | m_processor_v_abort(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_shared) | (~node45(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared))))),
% 50.60/33.25 inference(monotonicity,[status(thm)],[19802])).
% 50.60/33.25 tff(19804,plain,
% 50.60/33.25 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | m_processor_v_master(c_p0, s3) | m_processor_v_abort(c_p0, s3) | (~node45(c_p0, s3, s4)) | m_processor_v_snoop(c_p0, s4, c_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_master(c_p0, s3) | m_processor_v_abort(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_shared) | (~node45(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))),
% 50.60/33.25 inference(transitivity,[status(thm)],[19803, 19801])).
% 50.60/33.25 tff(19805,plain,
% 50.60/33.25 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | m_processor_v_master(c_p0, s3) | m_processor_v_abort(c_p0, s3) | (~node45(c_p0, s3, s4)) | m_processor_v_snoop(c_p0, s4, c_shared))),
% 50.60/33.25 inference(quant_inst,[status(thm)],[])).
% 50.60/33.25 tff(19806,plain,
% 50.60/33.25 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_master(c_p0, s3) | m_processor_v_abort(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_shared) | (~node45(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared))),
% 50.60/33.25 inference(modus_ponens,[status(thm)],[19805, 19804])).
% 50.60/33.25 tff(19807,plain,
% 50.60/33.25 ((~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_master(c_p0, s3) | m_processor_v_abort(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_shared) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared))),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[19806, 8742, 19788])).
% 50.60/33.25 tff(19808,plain,
% 50.60/33.25 (m_processor_v_snoop(c_p0, s4, c_shared)),
% 50.60/33.25 inference(unit_resolution,[status(thm)],[19807, 19800, 2652, 9405, 9678])).
% 50.60/33.25 tff(19809,plain,
% 50.60/33.25 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))) | ((~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_master(c_p0, s3) | m_processor_v_abort(c_p0, s3) | node40(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_owned) | (~node45(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_master(c_p0, s3) | m_processor_v_abort(c_p0, s3) | node40(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_owned) | (~node45(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))),
% 50.60/33.25 inference(rewrite,[status(thm)],[])).
% 50.60/33.25 tff(19810,plain,
% 50.60/33.25 (((~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | m_processor_v_master(c_p0, s3) | m_processor_v_abort(c_p0, s3) | node40(c_p0, s3) | (~node45(c_p0, s3, s4)) | m_processor_v_snoop(c_p0, s4, c_owned)) <=> ((~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_master(c_p0, s3) | m_processor_v_abort(c_p0, s3) | node40(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_owned) | (~node45(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))),
% 50.60/33.25 inference(rewrite,[status(thm)],[])).
% 50.60/33.25 tff(19811,plain,
% 50.60/33.25 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))) | ((~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | m_processor_v_master(c_p0, s3) | m_processor_v_abort(c_p0, s3) | node40(c_p0, s3) | (~node45(c_p0, s3, s4)) | m_processor_v_snoop(c_p0, s4, c_owned))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))) | ((~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_master(c_p0, s3) | m_processor_v_abort(c_p0, s3) | node40(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_owned) | (~node45(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared))))),
% 50.60/33.25 inference(monotonicity,[status(thm)],[19810])).
% 50.60/33.25 tff(19812,plain,
% 50.60/33.25 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))) | ((~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | m_processor_v_master(c_p0, s3) | m_processor_v_abort(c_p0, s3) | node40(c_p0, s3) | (~node45(c_p0, s3, s4)) | m_processor_v_snoop(c_p0, s4, c_owned))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_master(c_p0, s3) | m_processor_v_abort(c_p0, s3) | node40(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_owned) | (~node45(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)))),
% 50.60/33.26 inference(transitivity,[status(thm)],[19811, 19809])).
% 50.60/33.26 tff(19813,plain,
% 50.60/33.26 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))) | ((~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | m_processor_v_master(c_p0, s3) | m_processor_v_abort(c_p0, s3) | node40(c_p0, s3) | (~node45(c_p0, s3, s4)) | m_processor_v_snoop(c_p0, s4, c_owned))),
% 50.60/33.26 inference(quant_inst,[status(thm)],[])).
% 50.60/33.26 tff(19814,plain,
% 50.60/33.26 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node40(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_owned))) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_master(c_p0, s3) | m_processor_v_abort(c_p0, s3) | node40(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_owned) | (~node45(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared))),
% 50.60/33.26 inference(modus_ponens,[status(thm)],[19813, 19812])).
% 50.60/33.26 tff(19815,plain,
% 50.60/33.26 ((~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_master(c_p0, s3) | m_processor_v_abort(c_p0, s3) | node40(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_owned) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared))),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[19814, 8760, 19788])).
% 50.60/33.26 tff(19816,plain,
% 50.60/33.26 (m_processor_v_snoop(c_p0, s4, c_owned)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[19815, 19800, 2652, 9405, 19784, 9678])).
% 50.60/33.26 tff(19817,plain,
% 50.60/33.26 (((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p0, s4, c_owned)) | (~m_processor_v_snoop(c_p0, s4, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p0, s4, c_owned)) | (~m_processor_v_snoop(c_p0, s4, c_shared)))),
% 50.60/33.26 inference(rewrite,[status(thm)],[])).
% 50.60/33.26 tff(19818,plain,
% 50.60/33.26 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p0, s4, c_owned)) | (~m_processor_v_snoop(c_p0, s4, c_shared)))),
% 50.60/33.26 inference(quant_inst,[status(thm)],[])).
% 50.60/33.26 tff(19819,plain,
% 50.60/33.26 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p0, s4, c_owned)) | (~m_processor_v_snoop(c_p0, s4, c_shared))),
% 50.60/33.26 inference(modus_ponens,[status(thm)],[19818, 19817])).
% 50.60/33.26 tff(19820,plain,
% 50.60/33.26 ($false),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[19819, 8775, 19816, 19808])).
% 50.60/33.26 tff(19821,plain,(node40(c_p0, s3) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_master(c_p0, s3) | m_processor_v_abort(c_p0, s3) | node44(c_p0, s3, s4)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.26 tff(19822,plain,
% 50.60/33.26 (node44(c_p0, s3, s4)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[19821, 19774, 19681, 2652, 19770])).
% 50.60/33.26 tff(19823,plain,
% 50.60/33.26 (m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[5526, 19670])).
% 50.60/33.26 tff(19824,plain,
% 50.60/33.26 (~m_processor_v_REPLY_h_STALL(c_p0, s2)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[9317, 19677])).
% 50.60/33.26 tff(19825,plain,
% 50.60/33.26 (~node59(c_p1, s2)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[9321, 3834, 19669])).
% 50.60/33.26 tff(19826,plain,
% 50.60/33.26 (~m_processor_v_REPLY_h_WAITING(c_p1, s2)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[9332, 19825, 19675])).
% 50.60/33.26 tff(19827,plain,
% 50.60/33.26 (~m_main_v_REPLY_h_WAITING(s2)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[9340, 19826])).
% 50.60/33.26 tff(19828,plain,
% 50.60/33.26 (~m_processor_v_REPLY_h_WAITING(c_p0, s2)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[9348, 19827])).
% 50.60/33.26 tff(19829,plain,
% 50.60/33.26 (~node61(c_p0, s2)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[9356, 19828])).
% 50.60/33.26 tff(19830,plain,
% 50.60/33.26 (~m_processor_v_abort(c_p0, s2)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[9365, 19829, 19824])).
% 50.60/33.26 tff(19831,plain,
% 50.60/33.26 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_master(c_p0, s2) | m_processor_v_abort(c_p0, s2) | m_processor_v_snoop(c_p0, s3, c_shared) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~node45(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | (~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_master(c_p0, s2) | m_processor_v_abort(c_p0, s2) | m_processor_v_snoop(c_p0, s3, c_shared) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~node45(c_p0, s2, s3)))),
% 50.60/33.26 inference(rewrite,[status(thm)],[])).
% 50.60/33.26 tff(19832,plain,
% 50.60/33.26 (((~m_processor_v_state(c_p0, s2, c_owned)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | m_processor_v_master(c_p0, s2) | m_processor_v_abort(c_p0, s2) | (~node45(c_p0, s2, s3)) | m_processor_v_snoop(c_p0, s3, c_shared)) <=> ((~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_master(c_p0, s2) | m_processor_v_abort(c_p0, s2) | m_processor_v_snoop(c_p0, s3, c_shared) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~node45(c_p0, s2, s3)))),
% 50.60/33.26 inference(rewrite,[status(thm)],[])).
% 50.60/33.26 tff(19833,plain,
% 50.60/33.26 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p0, s2, c_owned)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | m_processor_v_master(c_p0, s2) | m_processor_v_abort(c_p0, s2) | (~node45(c_p0, s2, s3)) | m_processor_v_snoop(c_p0, s3, c_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_master(c_p0, s2) | m_processor_v_abort(c_p0, s2) | m_processor_v_snoop(c_p0, s3, c_shared) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~node45(c_p0, s2, s3))))),
% 50.60/33.26 inference(monotonicity,[status(thm)],[19832])).
% 50.60/33.26 tff(19834,plain,
% 50.60/33.26 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p0, s2, c_owned)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | m_processor_v_master(c_p0, s2) | m_processor_v_abort(c_p0, s2) | (~node45(c_p0, s2, s3)) | m_processor_v_snoop(c_p0, s3, c_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | (~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_master(c_p0, s2) | m_processor_v_abort(c_p0, s2) | m_processor_v_snoop(c_p0, s3, c_shared) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~node45(c_p0, s2, s3)))),
% 50.60/33.26 inference(transitivity,[status(thm)],[19833, 19831])).
% 50.60/33.26 tff(19835,plain,
% 50.60/33.26 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p0, s2, c_owned)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | m_processor_v_master(c_p0, s2) | m_processor_v_abort(c_p0, s2) | (~node45(c_p0, s2, s3)) | m_processor_v_snoop(c_p0, s3, c_shared))),
% 50.60/33.26 inference(quant_inst,[status(thm)],[])).
% 50.60/33.26 tff(19836,plain,
% 50.60/33.26 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | (~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_master(c_p0, s2) | m_processor_v_abort(c_p0, s2) | m_processor_v_snoop(c_p0, s3, c_shared) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | (~node45(c_p0, s2, s3))),
% 50.60/33.26 inference(modus_ponens,[status(thm)],[19835, 19834])).
% 50.60/33.26 tff(19837,plain,
% 50.60/33.26 ((~m_processor_v_state(c_p0, s2, c_owned)) | m_processor_v_master(c_p0, s2) | m_processor_v_abort(c_p0, s2) | m_processor_v_snoop(c_p0, s3, c_shared) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared))),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[19836, 8742, 11271])).
% 50.60/33.26 tff(19838,plain,
% 50.60/33.26 (m_processor_v_snoop(c_p0, s3, c_shared)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[19837, 19830, 19661, 19823, 19660])).
% 50.60/33.26 tff(19839,plain,
% 50.60/33.26 (((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p0, s3, c_owned)) | (~m_processor_v_snoop(c_p0, s3, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p0, s3, c_owned)) | (~m_processor_v_snoop(c_p0, s3, c_shared)))),
% 50.60/33.26 inference(rewrite,[status(thm)],[])).
% 50.60/33.26 tff(19840,plain,
% 50.60/33.26 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p0, s3, c_owned)) | (~m_processor_v_snoop(c_p0, s3, c_shared)))),
% 50.60/33.26 inference(quant_inst,[status(thm)],[])).
% 50.60/33.26 tff(19841,plain,
% 50.60/33.26 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p0, s3, c_owned)) | (~m_processor_v_snoop(c_p0, s3, c_shared))),
% 50.60/33.26 inference(modus_ponens,[status(thm)],[19840, 19839])).
% 50.60/33.26 tff(19842,plain,
% 50.60/33.26 (~m_processor_v_snoop(c_p0, s3, c_owned)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[19841, 8775, 19838])).
% 50.60/33.26 tff(19843,assumption,(node44(c_p0, s3, s4)), introduced(assumption)).
% 50.60/33.26 tff(19844,assumption,(m_processor_v_snoop(c_p0, s4, c_owned)), introduced(assumption)).
% 50.60/33.26 tff(19845,plain,
% 50.60/33.26 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p0, s3, c_owned) | (~m_processor_v_snoop(c_p0, s4, c_owned)) | (~node44(c_p0, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p0, s3, c_owned) | (~m_processor_v_snoop(c_p0, s4, c_owned)) | (~node44(c_p0, s3, s4)))),
% 50.60/33.26 inference(rewrite,[status(thm)],[])).
% 50.60/33.26 tff(19846,plain,
% 50.60/33.26 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p0, s3, c_owned) | (~m_processor_v_snoop(c_p0, s4, c_owned)) | (~node44(c_p0, s3, s4)))),
% 50.60/33.26 inference(quant_inst,[status(thm)],[])).
% 50.60/33.26 tff(19847,plain,
% 50.60/33.26 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p0, s3, c_owned) | (~m_processor_v_snoop(c_p0, s4, c_owned)) | (~node44(c_p0, s3, s4))),
% 50.60/33.26 inference(modus_ponens,[status(thm)],[19846, 19845])).
% 50.60/33.26 tff(19848,plain,
% 50.60/33.26 ($false),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[19847, 10976, 19844, 19843, 11626])).
% 50.60/33.26 tff(19849,plain,((~m_processor_v_snoop(c_p0, s4, c_owned)) | (~node44(c_p0, s3, s4)) | m_processor_v_snoop(c_p0, s3, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.26 tff(19850,plain,
% 50.60/33.26 (~m_processor_v_snoop(c_p0, s4, c_owned)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[19849, 19842, 19822])).
% 50.60/33.26 tff(19851,assumption,(~node48(c_p1, s4)), introduced(assumption)).
% 50.60/33.26 tff(19852,assumption,(~node52(c_p1, s4, s5)), introduced(assumption)).
% 50.60/33.26 tff(19853,assumption,(~node47(c_p1, s4)), introduced(assumption)).
% 50.60/33.26 tff(19854,plain,
% 50.60/33.26 (m_processor_v_writable(c_p0, s5)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[19296, 19108])).
% 50.60/33.26 tff(19855,plain,
% 50.60/33.26 (node56(c_p0, s5)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[19304, 19854])).
% 50.60/33.26 tff(19856,plain,
% 50.60/33.26 (m_processor_v_state(c_p0, s5, c_owned)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[19314, 19855])).
% 50.60/33.26 tff(19857,plain,
% 50.60/33.26 (~m_processor_v_state(c_p0, s5, c_shared)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[1068, 19856])).
% 50.60/33.26 tff(19858,plain,
% 50.60/33.26 (((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p0, s3, c_invalid)) | (~m_processor_v_snoop(c_p0, s3, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | (~m_processor_v_snoop(c_p0, s3, c_shared)))),
% 50.60/33.26 inference(rewrite,[status(thm)],[])).
% 50.60/33.26 tff(19859,plain,
% 50.60/33.26 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p0, s3, c_invalid)) | (~m_processor_v_snoop(c_p0, s3, c_shared)))),
% 50.60/33.26 inference(quant_inst,[status(thm)],[])).
% 50.60/33.26 tff(19860,plain,
% 50.60/33.26 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | (~m_processor_v_snoop(c_p0, s3, c_shared))),
% 50.60/33.26 inference(modus_ponens,[status(thm)],[19859, 19858])).
% 50.60/33.26 tff(19861,plain,
% 50.60/33.26 (~m_processor_v_snoop(c_p0, s3, c_invalid)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[19860, 4096, 19838])).
% 50.60/33.26 tff(19862,plain,
% 50.60/33.26 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p0, s3, c_invalid) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | (~node44(c_p0, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p0, s3, c_invalid) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | (~node44(c_p0, s3, s4)))),
% 50.60/33.26 inference(rewrite,[status(thm)],[])).
% 50.60/33.26 tff(19863,plain,
% 50.60/33.26 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p0, s3, c_invalid) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | (~node44(c_p0, s3, s4)))),
% 50.60/33.26 inference(quant_inst,[status(thm)],[])).
% 50.60/33.26 tff(19864,plain,
% 50.60/33.26 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p0, s3, c_invalid) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | (~node44(c_p0, s3, s4))),
% 50.60/33.26 inference(modus_ponens,[status(thm)],[19863, 19862])).
% 50.60/33.26 tff(19865,plain,
% 50.60/33.26 (m_processor_v_snoop(c_p0, s3, c_invalid) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | (~node44(c_p0, s3, s4))),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[19864, 10976])).
% 50.60/33.26 tff(19866,plain,
% 50.60/33.26 (~m_processor_v_snoop(c_p0, s4, c_invalid)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[19865, 19861, 19822])).
% 50.60/33.26 tff(19867,assumption,(~m_processor_v_snoop(c_p0, s4, c_owned)), introduced(assumption)).
% 50.60/33.26 tff(19868,assumption,(~m_processor_v_snoop(c_p0, s4, c_invalid)), introduced(assumption)).
% 50.60/33.26 tff(19869,plain,
% 50.60/33.26 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s4, c_write_h_resp_h_shared) | (~node3(s4)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s4, c_write_h_resp_h_shared) | (~node3(s4)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared)))),
% 50.60/33.26 inference(rewrite,[status(thm)],[])).
% 50.60/33.26 tff(19870,plain,
% 50.60/33.26 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s4, c_write_h_resp_h_shared) | (~node3(s4)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared)))),
% 50.60/33.26 inference(quant_inst,[status(thm)],[])).
% 50.60/33.26 tff(19871,plain,
% 50.60/33.26 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s4, c_write_h_resp_h_shared) | (~node3(s4)) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared))),
% 50.60/33.26 inference(modus_ponens,[status(thm)],[19870, 19869])).
% 50.60/33.26 tff(19872,plain,
% 50.60/33.26 (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[19871, 1260, 1250, 12870])).
% 50.60/33.26 tff(19873,assumption,(node51(c_p1, s4)), introduced(assumption)).
% 50.60/33.26 tff(19874,plain,
% 50.60/33.26 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared) | (~node51(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared) | (~node51(c_p1, s4)))),
% 50.60/33.26 inference(rewrite,[status(thm)],[])).
% 50.60/33.26 tff(19875,plain,
% 50.60/33.26 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared) | (~node51(c_p1, s4)))),
% 50.60/33.26 inference(quant_inst,[status(thm)],[])).
% 50.60/33.26 tff(19876,plain,
% 50.60/33.26 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared) | (~node51(c_p1, s4))),
% 50.60/33.26 inference(modus_ponens,[status(thm)],[19875, 19874])).
% 50.60/33.26 tff(19877,plain,
% 50.60/33.26 ($false),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[19876, 11549, 17482, 19873])).
% 50.60/33.26 tff(19878,plain,((~node51(c_p1, s4)) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.26 tff(19879,plain,
% 50.60/33.26 (~node51(c_p1, s4)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[19878, 19872])).
% 50.60/33.26 tff(19880,plain,
% 50.60/33.26 (m_processor_v_master(c_p2, s4)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[1582, 1573])).
% 50.60/33.26 tff(19881,plain,
% 50.60/33.26 (node16(s4)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[1550, 19880])).
% 50.60/33.26 tff(19882,plain,
% 50.60/33.26 (~m_processor_v_master(c_p0, s4)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[1535, 19881])).
% 50.60/33.26 tff(19883,plain,
% 50.60/33.26 (m_processor_v_cmd(c_p0, s4, c_idle)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[12616, 19882])).
% 50.60/33.26 tff(19884,plain,
% 50.60/33.26 (~m_memory_v_cmd(c_m, s4, c_idle)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[16826, 1573, 16822, 1792, 1620])).
% 50.60/33.26 tff(19885,plain,
% 50.60/33.26 (node29(c_m, s4)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[1325, 19884])).
% 50.60/33.26 tff(19886,plain,
% 50.60/33.26 (~node17(s4)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[2114, 19880])).
% 50.60/33.26 tff(19887,plain,
% 50.60/33.26 (~m_memory_v_master(c_m, s4)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[1295, 19886])).
% 50.60/33.26 tff(19888,plain,
% 50.60/33.26 ($false),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[1310, 19887, 19885])).
% 50.60/33.26 tff(19889,plain,(m_processor_v_cmd(c_p2, s4, c_idle) | node12(s4) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.60/33.26 tff(19890,plain,
% 50.60/33.26 (node12(s4)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[19889, 19883, 1573, 1620])).
% 50.60/33.26 tff(19891,plain,
% 50.60/33.26 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s4, c_write_h_resp_h_shared) | (~node12(s4)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | m_main_v_CMD(s4, c_write_h_resp_h_shared) | (~node12(s4)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared)))),
% 50.60/33.26 inference(rewrite,[status(thm)],[])).
% 50.60/33.26 tff(19892,plain,
% 50.60/33.26 ((m_main_v_CMD(s4, c_write_h_resp_h_shared) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared)) | (~node12(s4))) <=> (m_main_v_CMD(s4, c_write_h_resp_h_shared) | (~node12(s4)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared)))),
% 50.60/33.26 inference(rewrite,[status(thm)],[])).
% 50.60/33.26 tff(19893,plain,
% 50.60/33.26 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s4, c_write_h_resp_h_shared) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared)) | (~node12(s4)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s4, c_write_h_resp_h_shared) | (~node12(s4)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared))))),
% 50.60/33.26 inference(monotonicity,[status(thm)],[19892])).
% 50.60/33.26 tff(19894,plain,
% 50.60/33.26 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s4, c_write_h_resp_h_shared) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared)) | (~node12(s4)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | m_main_v_CMD(s4, c_write_h_resp_h_shared) | (~node12(s4)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared)))),
% 50.60/33.26 inference(transitivity,[status(thm)],[19893, 19891])).
% 50.60/33.26 tff(19895,plain,
% 50.60/33.26 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s4, c_write_h_resp_h_shared) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared)) | (~node12(s4)))),
% 50.60/33.26 inference(quant_inst,[status(thm)],[])).
% 50.60/33.26 tff(19896,plain,
% 50.60/33.26 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | m_main_v_CMD(s4, c_write_h_resp_h_shared) | (~node12(s4)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared))),
% 50.60/33.26 inference(modus_ponens,[status(thm)],[19895, 19894])).
% 50.60/33.26 tff(19897,plain,
% 50.60/33.26 ((~node12(s4)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared))),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[19896, 2128, 12870])).
% 50.60/33.26 tff(19898,plain,
% 50.60/33.26 (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[19897, 19890])).
% 50.60/33.26 tff(19899,plain,
% 50.60/33.26 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response))))),
% 50.60/33.26 inference(bind,[status(th)],[])).
% 50.60/33.26 tff(19900,plain,
% 50.60/33.26 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 50.60/33.26 inference(quant_intro,[status(thm)],[19899])).
% 50.60/33.26 tff(19901,plain,
% 50.60/33.26 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 50.60/33.26 inference(rewrite,[status(thm)],[])).
% 50.60/33.26 tff(19902,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_9')).
% 50.60/33.26 tff(19903,plain,
% 50.60/33.26 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 50.60/33.26 inference(modus_ponens,[status(thm)],[19902, 19901])).
% 50.60/33.26 tff(19904,plain,(
% 50.60/33.26 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 50.60/33.26 inference(skolemize,[status(sab)],[19903])).
% 50.60/33.26 tff(19905,plain,
% 50.60/33.26 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 50.60/33.26 inference(modus_ponens,[status(thm)],[19904, 19900])).
% 50.60/33.26 tff(19906,plain,
% 50.60/33.26 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_response)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_response)))),
% 50.60/33.26 inference(rewrite,[status(thm)],[])).
% 50.60/33.26 tff(19907,plain,
% 50.60/33.26 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_response)))),
% 50.60/33.26 inference(quant_inst,[status(thm)],[])).
% 50.60/33.26 tff(19908,plain,
% 50.60/33.26 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_response))),
% 50.60/33.26 inference(modus_ponens,[status(thm)],[19907, 19906])).
% 50.60/33.26 tff(19909,plain,
% 50.60/33.26 (~m_processor_v_cmd(c_p0, s4, c_response)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[19908, 19905, 19883])).
% 50.60/33.26 tff(19910,plain,
% 50.60/33.26 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid)))),
% 50.60/33.26 inference(rewrite,[status(thm)],[])).
% 50.60/33.26 tff(19911,plain,
% 50.60/33.26 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid)))),
% 50.60/33.26 inference(quant_inst,[status(thm)],[])).
% 50.60/33.26 tff(19912,plain,
% 50.60/33.26 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid))),
% 50.60/33.26 inference(modus_ponens,[status(thm)],[19911, 19910])).
% 50.60/33.26 tff(19913,plain,
% 50.60/33.26 (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid)),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[19912, 4296, 19883])).
% 50.60/33.26 tff(19914,assumption,(~m_processor_v_cmd(c_p0, s4, c_response)), introduced(assumption)).
% 50.60/33.26 tff(19915,plain,
% 50.60/33.26 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s4, c_response)) | (~node12(s4)) | m_processor_v_cmd(c_p0, s4, c_response))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~m_main_v_CMD(s4, c_response)) | (~node12(s4)) | m_processor_v_cmd(c_p0, s4, c_response))),
% 50.60/33.26 inference(rewrite,[status(thm)],[])).
% 50.60/33.26 tff(19916,plain,
% 50.60/33.26 (((~m_main_v_CMD(s4, c_response)) | m_processor_v_cmd(c_p0, s4, c_response) | (~node12(s4))) <=> ((~m_main_v_CMD(s4, c_response)) | (~node12(s4)) | m_processor_v_cmd(c_p0, s4, c_response))),
% 50.60/33.26 inference(rewrite,[status(thm)],[])).
% 50.60/33.26 tff(19917,plain,
% 50.60/33.26 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s4, c_response)) | m_processor_v_cmd(c_p0, s4, c_response) | (~node12(s4)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s4, c_response)) | (~node12(s4)) | m_processor_v_cmd(c_p0, s4, c_response)))),
% 50.60/33.26 inference(monotonicity,[status(thm)],[19916])).
% 50.60/33.26 tff(19918,plain,
% 50.60/33.26 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s4, c_response)) | m_processor_v_cmd(c_p0, s4, c_response) | (~node12(s4)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~m_main_v_CMD(s4, c_response)) | (~node12(s4)) | m_processor_v_cmd(c_p0, s4, c_response))),
% 50.60/33.26 inference(transitivity,[status(thm)],[19917, 19915])).
% 50.60/33.26 tff(19919,plain,
% 50.60/33.26 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s4, c_response)) | m_processor_v_cmd(c_p0, s4, c_response) | (~node12(s4)))),
% 50.60/33.26 inference(quant_inst,[status(thm)],[])).
% 50.60/33.26 tff(19920,plain,
% 50.60/33.26 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~m_main_v_CMD(s4, c_response)) | (~node12(s4)) | m_processor_v_cmd(c_p0, s4, c_response)),
% 50.60/33.26 inference(modus_ponens,[status(thm)],[19919, 19918])).
% 50.60/33.26 tff(19921,plain,
% 50.60/33.26 ((~m_main_v_CMD(s4, c_response)) | (~node12(s4))),
% 50.60/33.26 inference(unit_resolution,[status(thm)],[19920, 3644, 19914])).
% 50.60/33.27 tff(19922,plain,
% 50.60/33.27 (~m_main_v_CMD(s4, c_response)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[19921, 16808])).
% 50.60/33.27 tff(19923,assumption,(m_processor_v_CMD(c_p1, s4, c_response)), introduced(assumption)).
% 50.60/33.27 tff(19924,plain,
% 50.60/33.27 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s4, c_response) | (~node3(s4)) | (~m_processor_v_CMD(c_p1, s4, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s4, c_response) | (~node3(s4)) | (~m_processor_v_CMD(c_p1, s4, c_response)))),
% 50.60/33.27 inference(rewrite,[status(thm)],[])).
% 50.60/33.27 tff(19925,plain,
% 50.60/33.27 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s4, c_response) | (~node3(s4)) | (~m_processor_v_CMD(c_p1, s4, c_response)))),
% 50.60/33.27 inference(quant_inst,[status(thm)],[])).
% 50.60/33.27 tff(19926,plain,
% 50.60/33.27 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s4, c_response) | (~node3(s4)) | (~m_processor_v_CMD(c_p1, s4, c_response))),
% 50.60/33.27 inference(modus_ponens,[status(thm)],[19925, 19924])).
% 50.60/33.27 tff(19927,plain,
% 50.60/33.27 ($false),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[19926, 1260, 1250, 17623, 19923])).
% 50.60/33.27 tff(19928,plain,((~m_processor_v_CMD(c_p1, s4, c_response)) | m_main_v_CMD(s4, c_response)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.27 tff(19929,plain,
% 50.60/33.27 (~m_processor_v_CMD(c_p1, s4, c_response)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[19928, 19922])).
% 50.60/33.27 tff(19930,assumption,(~m_processor_v_CMD(c_p1, s4, c_response)), introduced(assumption)).
% 50.60/33.27 tff(19931,assumption,(node49(c_p1, s4)), introduced(assumption)).
% 50.60/33.27 tff(19932,plain,
% 50.60/33.27 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p1, s4, c_response) | (~node49(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | m_processor_v_CMD(c_p1, s4, c_response) | (~node49(c_p1, s4)))),
% 50.60/33.27 inference(rewrite,[status(thm)],[])).
% 50.60/33.27 tff(19933,plain,
% 50.60/33.27 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p1, s4, c_response) | (~node49(c_p1, s4)))),
% 50.60/33.27 inference(quant_inst,[status(thm)],[])).
% 50.60/33.27 tff(19934,plain,
% 50.60/33.27 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | m_processor_v_CMD(c_p1, s4, c_response) | (~node49(c_p1, s4))),
% 50.60/33.27 inference(modus_ponens,[status(thm)],[19933, 19932])).
% 50.60/33.27 tff(19935,plain,
% 50.60/33.27 ($false),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[19934, 11579, 19931, 19930])).
% 50.60/33.27 tff(19936,plain,((~node49(c_p1, s4)) | m_processor_v_CMD(c_p1, s4, c_response)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.27 tff(19937,plain,
% 50.60/33.27 (~node49(c_p1, s4)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[19936, 19929])).
% 50.60/33.27 tff(19938,assumption,(~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.60/33.27 tff(19939,plain,
% 50.60/33.27 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node12(s4)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node12(s4)))),
% 50.60/33.27 inference(rewrite,[status(thm)],[])).
% 50.60/33.27 tff(19940,plain,
% 50.60/33.27 (((~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared) | (~node12(s4))) <=> (m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node12(s4)))),
% 50.60/33.27 inference(rewrite,[status(thm)],[])).
% 50.60/33.27 tff(19941,plain,
% 50.60/33.27 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared) | (~node12(s4)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node12(s4))))),
% 50.60/33.27 inference(monotonicity,[status(thm)],[19940])).
% 50.60/33.27 tff(19942,plain,
% 50.60/33.27 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared) | (~node12(s4)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node12(s4)))),
% 50.60/33.27 inference(transitivity,[status(thm)],[19941, 19939])).
% 50.60/33.27 tff(19943,plain,
% 50.60/33.27 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared) | (~node12(s4)))),
% 50.60/33.27 inference(quant_inst,[status(thm)],[])).
% 50.60/33.27 tff(19944,plain,
% 50.60/33.27 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node12(s4))),
% 50.60/33.27 inference(modus_ponens,[status(thm)],[19943, 19942])).
% 50.60/33.27 tff(19945,plain,
% 50.60/33.27 ((~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node12(s4))),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[19944, 3644, 19938])).
% 50.60/33.27 tff(19946,plain,
% 50.60/33.27 (~m_main_v_CMD(s4, c_write_h_resp_h_shared)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[19945, 16808])).
% 50.60/33.27 tff(19947,plain,
% 50.60/33.27 (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_shared)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[19871, 1260, 1250, 19946])).
% 50.60/33.27 tff(19948,plain,
% 50.60/33.27 (~node51(c_p1, s4)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[19878, 19947])).
% 50.60/33.27 tff(19949,assumption,(~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid)), introduced(assumption)).
% 50.60/33.27 tff(19950,plain,
% 50.60/33.27 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node12(s4)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node12(s4)))),
% 50.60/33.27 inference(rewrite,[status(thm)],[])).
% 50.60/33.27 tff(19951,plain,
% 50.60/33.27 (((~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid) | (~node12(s4))) <=> (m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node12(s4)))),
% 50.60/33.27 inference(rewrite,[status(thm)],[])).
% 50.60/33.27 tff(19952,plain,
% 50.60/33.27 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid) | (~node12(s4)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node12(s4))))),
% 50.60/33.27 inference(monotonicity,[status(thm)],[19951])).
% 50.60/33.27 tff(19953,plain,
% 50.60/33.27 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid) | (~node12(s4)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node12(s4)))),
% 50.60/33.27 inference(transitivity,[status(thm)],[19952, 19950])).
% 50.60/33.27 tff(19954,plain,
% 50.60/33.27 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid) | (~node12(s4)))),
% 50.60/33.27 inference(quant_inst,[status(thm)],[])).
% 50.60/33.27 tff(19955,plain,
% 50.60/33.27 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node12(s4))),
% 50.60/33.27 inference(modus_ponens,[status(thm)],[19954, 19953])).
% 50.60/33.27 tff(19956,plain,
% 50.60/33.27 ((~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node12(s4))),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[19955, 3644, 19949])).
% 50.60/33.27 tff(19957,plain,
% 50.60/33.27 (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[19956, 16808])).
% 50.60/33.27 tff(19958,plain,
% 50.60/33.27 (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[17513, 1260, 1250, 19957])).
% 50.60/33.27 tff(19959,assumption,(node50(c_p1, s4)), introduced(assumption)).
% 50.60/33.27 tff(19960,plain,
% 50.60/33.27 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | (~node50(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | (~node50(c_p1, s4)))),
% 50.60/33.27 inference(rewrite,[status(thm)],[])).
% 50.60/33.27 tff(19961,plain,
% 50.60/33.27 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | (~node50(c_p1, s4)))),
% 50.60/33.27 inference(quant_inst,[status(thm)],[])).
% 50.60/33.27 tff(19962,plain,
% 50.60/33.27 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | (~node50(c_p1, s4))),
% 50.60/33.27 inference(modus_ponens,[status(thm)],[19961, 19960])).
% 50.60/33.27 tff(19963,plain,
% 50.60/33.27 ($false),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[19962, 11598, 19215, 19959])).
% 50.60/33.27 tff(19964,plain,((~node50(c_p1, s4)) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.27 tff(19965,plain,
% 50.60/33.27 (~node50(c_p1, s4)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[19964, 19958])).
% 50.60/33.27 tff(19966,plain,
% 50.60/33.27 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s4) | node48(c_p1, s4) | node47(c_p1, s4) | node50(c_p1, s4) | node51(c_p1, s4) | node49(c_p1, s4) | node52(c_p1, s4, s5) | (~node53(c_p1, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p1, s4) | node48(c_p1, s4) | node47(c_p1, s4) | node50(c_p1, s4) | node51(c_p1, s4) | node49(c_p1, s4) | node52(c_p1, s4, s5) | (~node53(c_p1, s4, s5)))),
% 50.60/33.27 inference(rewrite,[status(thm)],[])).
% 50.60/33.27 tff(19967,plain,
% 50.60/33.27 ((m_processor_v_abort(c_p1, s4) | node47(c_p1, s4) | node48(c_p1, s4) | node49(c_p1, s4) | node50(c_p1, s4) | node51(c_p1, s4) | node52(c_p1, s4, s5) | (~node53(c_p1, s4, s5))) <=> (m_processor_v_abort(c_p1, s4) | node48(c_p1, s4) | node47(c_p1, s4) | node50(c_p1, s4) | node51(c_p1, s4) | node49(c_p1, s4) | node52(c_p1, s4, s5) | (~node53(c_p1, s4, s5)))),
% 50.60/33.27 inference(rewrite,[status(thm)],[])).
% 50.60/33.27 tff(19968,plain,
% 50.60/33.27 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s4) | node47(c_p1, s4) | node48(c_p1, s4) | node49(c_p1, s4) | node50(c_p1, s4) | node51(c_p1, s4) | node52(c_p1, s4, s5) | (~node53(c_p1, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s4) | node48(c_p1, s4) | node47(c_p1, s4) | node50(c_p1, s4) | node51(c_p1, s4) | node49(c_p1, s4) | node52(c_p1, s4, s5) | (~node53(c_p1, s4, s5))))),
% 50.60/33.27 inference(monotonicity,[status(thm)],[19967])).
% 50.60/33.27 tff(19969,plain,
% 50.60/33.27 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s4) | node47(c_p1, s4) | node48(c_p1, s4) | node49(c_p1, s4) | node50(c_p1, s4) | node51(c_p1, s4) | node52(c_p1, s4, s5) | (~node53(c_p1, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p1, s4) | node48(c_p1, s4) | node47(c_p1, s4) | node50(c_p1, s4) | node51(c_p1, s4) | node49(c_p1, s4) | node52(c_p1, s4, s5) | (~node53(c_p1, s4, s5)))),
% 50.60/33.27 inference(transitivity,[status(thm)],[19968, 19966])).
% 50.60/33.27 tff(19970,plain,
% 50.60/33.27 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s4) | node47(c_p1, s4) | node48(c_p1, s4) | node49(c_p1, s4) | node50(c_p1, s4) | node51(c_p1, s4) | node52(c_p1, s4, s5) | (~node53(c_p1, s4, s5)))),
% 50.60/33.27 inference(quant_inst,[status(thm)],[])).
% 50.60/33.27 tff(19971,plain,
% 50.60/33.27 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p1, s4) | node48(c_p1, s4) | node47(c_p1, s4) | node50(c_p1, s4) | node51(c_p1, s4) | node49(c_p1, s4) | node52(c_p1, s4, s5) | (~node53(c_p1, s4, s5))),
% 50.60/33.27 inference(modus_ponens,[status(thm)],[19970, 19969])).
% 50.60/33.27 tff(19972,plain,
% 50.60/33.27 (m_processor_v_abort(c_p1, s4) | node48(c_p1, s4) | node47(c_p1, s4) | node50(c_p1, s4) | node51(c_p1, s4) | node49(c_p1, s4) | node52(c_p1, s4, s5)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[19971, 11612, 19252])).
% 50.60/33.27 tff(19973,plain,
% 50.60/33.27 ($false),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[19972, 19965, 19948, 19851, 19853, 19852, 1425, 19937])).
% 50.60/33.27 tff(19974,plain,((~node12(s4)) | node48(c_p1, s4) | node47(c_p1, s4) | node52(c_p1, s4, s5) | m_processor_v_abort(c_p1, s4) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared) | m_processor_v_cmd(c_p0, s4, c_response)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.27 tff(19975,plain,
% 50.60/33.27 ($false),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[19974, 19913, 19909, 19853, 19852, 1425, 19890, 19898, 19851])).
% 50.60/33.27 tff(19976,plain,(m_processor_v_cmd(c_p2, s4, c_idle) | node47(c_p1, s4) | node52(c_p1, s4, s5) | m_processor_v_abort(c_p1, s4) | node48(c_p1, s4) | m_main_v_CMD(s4, c_write_h_resp_h_shared) | (~m_processor_v_cmd(c_p1, s4, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.60/33.27 tff(19977,plain,
% 50.60/33.27 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[19976, 12870, 19852, 1425, 19851, 19853, 1620])).
% 50.60/33.27 tff(19978,plain,
% 50.60/33.27 (node8(s4)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[1678, 19977, 1519])).
% 50.60/33.27 tff(19979,assumption,(m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.60/33.27 tff(19980,plain,
% 50.60/33.27 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s4, c_write_h_resp_h_shared) | (~node8(s4)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s4, c_write_h_resp_h_shared) | (~node8(s4)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared)))),
% 50.60/33.27 inference(rewrite,[status(thm)],[])).
% 50.60/33.27 tff(19981,plain,
% 50.60/33.27 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s4, c_write_h_resp_h_shared) | (~node8(s4)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared)))),
% 50.60/33.27 inference(quant_inst,[status(thm)],[])).
% 50.60/33.27 tff(19982,plain,
% 50.60/33.27 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s4, c_write_h_resp_h_shared) | (~node8(s4)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared))),
% 50.60/33.27 inference(modus_ponens,[status(thm)],[19981, 19980])).
% 50.60/33.27 tff(19983,plain,
% 50.60/33.27 ($false),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[19982, 1669, 1744, 12870, 19979])).
% 50.60/33.27 tff(19984,plain,((~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared)) | (~node8(s4)) | m_main_v_CMD(s4, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.27 tff(19985,plain,
% 50.60/33.27 (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[19984, 19978, 12870])).
% 50.60/33.27 tff(19986,plain,
% 50.60/33.27 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s4, c_invalid) | m_processor_v_snoop(c_p0, s4, c_shared) | m_processor_v_snoop(c_p0, s4, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p0, s4, c_invalid) | m_processor_v_snoop(c_p0, s4, c_shared) | m_processor_v_snoop(c_p0, s4, c_owned))),
% 50.60/33.27 inference(rewrite,[status(thm)],[])).
% 50.60/33.27 tff(19987,plain,
% 50.60/33.27 ((m_processor_v_snoop(c_p0, s4, c_shared) | m_processor_v_snoop(c_p0, s4, c_owned) | m_processor_v_snoop(c_p0, s4, c_invalid)) <=> (m_processor_v_snoop(c_p0, s4, c_invalid) | m_processor_v_snoop(c_p0, s4, c_shared) | m_processor_v_snoop(c_p0, s4, c_owned))),
% 50.60/33.27 inference(rewrite,[status(thm)],[])).
% 50.60/33.27 tff(19988,plain,
% 50.60/33.27 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s4, c_shared) | m_processor_v_snoop(c_p0, s4, c_owned) | m_processor_v_snoop(c_p0, s4, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s4, c_invalid) | m_processor_v_snoop(c_p0, s4, c_shared) | m_processor_v_snoop(c_p0, s4, c_owned)))),
% 50.60/33.27 inference(monotonicity,[status(thm)],[19987])).
% 50.60/33.27 tff(19989,plain,
% 50.60/33.27 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s4, c_shared) | m_processor_v_snoop(c_p0, s4, c_owned) | m_processor_v_snoop(c_p0, s4, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p0, s4, c_invalid) | m_processor_v_snoop(c_p0, s4, c_shared) | m_processor_v_snoop(c_p0, s4, c_owned))),
% 50.60/33.27 inference(transitivity,[status(thm)],[19988, 19986])).
% 50.60/33.27 tff(19990,plain,
% 50.60/33.27 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s4, c_shared) | m_processor_v_snoop(c_p0, s4, c_owned) | m_processor_v_snoop(c_p0, s4, c_invalid))),
% 50.60/33.27 inference(quant_inst,[status(thm)],[])).
% 50.60/33.27 tff(19991,plain,
% 50.60/33.27 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p0, s4, c_invalid) | m_processor_v_snoop(c_p0, s4, c_shared) | m_processor_v_snoop(c_p0, s4, c_owned)),
% 50.60/33.27 inference(modus_ponens,[status(thm)],[19990, 19989])).
% 50.60/33.27 tff(19992,plain,
% 50.60/33.27 (m_processor_v_snoop(c_p0, s4, c_invalid) | m_processor_v_snoop(c_p0, s4, c_shared) | m_processor_v_snoop(c_p0, s4, c_owned)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[19991, 7213])).
% 50.60/33.27 tff(19993,plain,
% 50.60/33.27 (m_processor_v_snoop(c_p0, s4, c_shared)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[19992, 19867, 19868])).
% 50.60/33.27 tff(19994,plain,
% 50.60/33.27 ((~m_processor_v_state(c_p0, s4, c_owned)) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s4, c_shared))),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[16801, 7256, 1268])).
% 50.60/33.27 tff(19995,plain,
% 50.60/33.27 (node64(c_p0, s4)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[19994, 19993, 1752, 1640, 16779, 19938])).
% 50.60/33.27 tff(19996,plain,
% 50.60/33.27 ($false),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[16794, 4082, 19867, 19995])).
% 50.60/33.27 tff(19997,plain,(m_processor_v_snoop(c_p0, s4, c_owned) | (~m_processor_v_state(c_p0, s4, c_owned)) | node62(c_p0, s4) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_shared) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_snoop(c_p0, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.27 tff(19998,plain,
% 50.60/33.27 (~m_processor_v_master(c_p0, s4)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[19997, 19985, 19868, 19867, 16778, 1752])).
% 50.60/33.27 tff(19999,plain,
% 50.60/33.27 (m_processor_v_cmd(c_p0, s4, c_idle)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[12616, 19998])).
% 50.60/33.27 tff(20000,plain,
% 50.60/33.27 (m_main_v_CMD(s4, c_idle) | (~node12(s4))),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[2134, 2128, 1792])).
% 50.60/33.27 tff(20001,plain,
% 50.60/33.27 (~node12(s4)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[20000, 1736])).
% 50.60/33.27 tff(20002,plain,
% 50.60/33.27 (~node8(s4)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[1800, 1736, 1792])).
% 50.60/33.27 tff(20003,plain,
% 50.60/33.27 ((~m_processor_v_cmd(c_p2, s4, c_idle)) | node8(s4)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[1599, 1593, 1519, 1620])).
% 50.60/33.27 tff(20004,plain,
% 50.60/33.27 (~m_processor_v_cmd(c_p2, s4, c_idle)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[20003, 20002])).
% 50.60/33.27 tff(20005,plain,
% 50.60/33.27 ($false),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[16826, 20004, 20001, 1620, 1792, 1519])).
% 50.60/33.27 tff(20006,plain,(m_main_v_CMD(s4, c_idle) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_memory_v_cmd(c_m, s4, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.60/33.27 tff(20007,plain,
% 50.60/33.27 (m_main_v_CMD(s4, c_idle)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[20006, 19999, 1620, 1519])).
% 50.60/33.27 tff(20008,plain,
% 50.60/33.27 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s4, c_idle)) | (~m_main_v_CMD(s4, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s4, c_idle)) | (~m_main_v_CMD(s4, c_response)))),
% 50.60/33.27 inference(rewrite,[status(thm)],[])).
% 50.60/33.27 tff(20009,plain,
% 50.60/33.27 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s4, c_idle)) | (~m_main_v_CMD(s4, c_response)))),
% 50.60/33.27 inference(quant_inst,[status(thm)],[])).
% 50.60/33.27 tff(20010,plain,
% 50.60/33.27 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s4, c_idle)) | (~m_main_v_CMD(s4, c_response))),
% 50.60/33.27 inference(modus_ponens,[status(thm)],[20009, 20008])).
% 50.60/33.27 tff(20011,plain,
% 50.60/33.27 (~m_main_v_CMD(s4, c_response)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[20010, 10097, 20007])).
% 50.60/33.27 tff(20012,plain,
% 50.60/33.27 (~m_processor_v_CMD(c_p1, s4, c_response)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[19928, 20011])).
% 50.60/33.27 tff(20013,plain,
% 50.60/33.27 (~node49(c_p1, s4)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[19936, 20012])).
% 50.60/33.27 tff(20014,plain,
% 50.60/33.27 (node50(c_p1, s4)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[19972, 20013, 19851, 19853, 19852, 1425, 19879])).
% 50.60/33.27 tff(20015,plain,
% 50.60/33.27 (m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[19964, 20014])).
% 50.60/33.27 tff(20016,plain,
% 50.60/33.27 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s4, c_idle)) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s4, c_idle)) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)))),
% 50.60/33.27 inference(rewrite,[status(thm)],[])).
% 50.60/33.27 tff(20017,plain,
% 50.60/33.27 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s4, c_idle)) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)))),
% 50.60/33.27 inference(quant_inst,[status(thm)],[])).
% 50.60/33.27 tff(20018,plain,
% 50.60/33.27 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s4, c_idle)) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid))),
% 50.60/33.27 inference(modus_ponens,[status(thm)],[20017, 20016])).
% 50.60/33.27 tff(20019,plain,
% 50.60/33.27 (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[20018, 7663, 20007])).
% 50.60/33.27 tff(20020,plain,
% 50.60/33.27 ($false),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[17513, 1260, 1250, 20019, 20015])).
% 50.60/33.27 tff(20021,plain,(m_main_v_CMD(s4, c_write_h_resp_h_shared) | node48(c_p1, s4) | node47(c_p1, s4) | node52(c_p1, s4, s5) | m_processor_v_abort(c_p1, s4) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_memory_v_cmd(c_m, s4, c_idle)) | m_processor_v_snoop(c_p0, s4, c_invalid) | m_processor_v_snoop(c_p0, s4, c_owned) | (~m_processor_v_state(c_p0, s4, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.60/33.27 tff(20022,plain,
% 50.60/33.27 (m_main_v_CMD(s4, c_write_h_resp_h_shared)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[20021, 1425, 19853, 19852, 19851, 1620, 1519, 19868, 19867, 1752])).
% 50.60/33.27 tff(20023,plain,
% 50.60/33.27 (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[17509, 17506, 20022])).
% 50.60/33.27 tff(20024,plain,
% 50.60/33.27 (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[17661, 20023])).
% 50.60/33.27 tff(20025,assumption,(~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.60/33.27 tff(20026,plain,
% 50.60/33.27 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node2(s4)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node2(s4)))),
% 50.60/33.27 inference(rewrite,[status(thm)],[])).
% 50.60/33.27 tff(20027,plain,
% 50.60/33.27 (((~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node2(s4)) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node2(s4)))),
% 50.60/33.27 inference(rewrite,[status(thm)],[])).
% 50.60/33.27 tff(20028,plain,
% 50.60/33.27 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node2(s4)) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node2(s4))))),
% 50.60/33.27 inference(monotonicity,[status(thm)],[20027])).
% 50.60/33.27 tff(20029,plain,
% 50.60/33.27 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node2(s4)) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node2(s4)))),
% 50.60/33.27 inference(transitivity,[status(thm)],[20028, 20026])).
% 50.60/33.27 tff(20030,plain,
% 50.60/33.27 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node2(s4)) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared))),
% 50.60/33.27 inference(quant_inst,[status(thm)],[])).
% 50.60/33.27 tff(20031,plain,
% 50.60/33.27 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node2(s4))),
% 50.60/33.27 inference(modus_ponens,[status(thm)],[20030, 20029])).
% 50.60/33.27 tff(20032,plain,
% 50.60/33.27 ($false),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[20031, 1228, 1218, 12859, 20025])).
% 50.60/33.27 tff(20033,plain,((~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.27 tff(20034,plain,
% 50.60/33.27 (m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[20033, 20022])).
% 50.60/33.27 tff(20035,plain,
% 50.60/33.27 (~m_main_v_CMD(s4, c_write_h_shared)),
% 50.60/33.27 inference(unit_resolution,[status(thm)],[17476, 8489, 20022])).
% 50.60/33.27 tff(20036,assumption,(m_processor_v_CMD(c_p0, s4, c_write_h_shared)), introduced(assumption)).
% 50.60/33.28 tff(20037,assumption,(~m_main_v_CMD(s4, c_write_h_shared)), introduced(assumption)).
% 50.60/33.28 tff(20038,plain,
% 50.60/33.28 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s4, c_write_h_shared) | (~node2(s4)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s4, c_write_h_shared) | (~node2(s4)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_shared)))),
% 50.60/33.28 inference(rewrite,[status(thm)],[])).
% 50.60/33.28 tff(20039,plain,
% 50.60/33.28 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s4, c_write_h_shared) | (~node2(s4)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_shared)))),
% 50.60/33.28 inference(quant_inst,[status(thm)],[])).
% 50.60/33.28 tff(20040,plain,
% 50.60/33.28 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s4, c_write_h_shared) | (~node2(s4)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_shared))),
% 50.60/33.28 inference(modus_ponens,[status(thm)],[20039, 20038])).
% 50.60/33.28 tff(20041,plain,
% 50.60/33.28 ($false),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[20040, 1612, 1218, 20037, 20036])).
% 50.60/33.28 tff(20042,plain,((~m_processor_v_CMD(c_p0, s4, c_write_h_shared)) | m_main_v_CMD(s4, c_write_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.28 tff(20043,plain,
% 50.60/33.28 (~m_processor_v_CMD(c_p0, s4, c_write_h_shared)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[20042, 20035])).
% 50.60/33.28 tff(20044,plain,
% 50.60/33.28 (~m_main_v_CMD(s4, c_write_h_invalid)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[17524, 17521, 20022])).
% 50.60/33.28 tff(20045,plain,
% 50.60/33.28 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s4, c_write_h_invalid) | (~node2(s4)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s4, c_write_h_invalid) | (~node2(s4)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_invalid)))),
% 50.60/33.28 inference(rewrite,[status(thm)],[])).
% 50.60/33.28 tff(20046,plain,
% 50.60/33.28 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s4, c_write_h_invalid) | (~node2(s4)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_invalid)))),
% 50.60/33.28 inference(quant_inst,[status(thm)],[])).
% 50.60/33.28 tff(20047,plain,
% 50.60/33.28 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s4, c_write_h_invalid) | (~node2(s4)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_invalid))),
% 50.60/33.28 inference(modus_ponens,[status(thm)],[20046, 20045])).
% 50.60/33.28 tff(20048,plain,
% 50.60/33.28 (~m_processor_v_CMD(c_p0, s4, c_write_h_invalid)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[20047, 1612, 1218, 20044])).
% 50.60/33.28 tff(20049,plain,
% 50.60/33.28 (node60(c_p1, s4)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[1430, 1425])).
% 50.60/33.28 tff(20050,plain,
% 50.60/33.28 (node59(c_p1, s4)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[1933, 20049, 1925])).
% 50.60/33.28 tff(20051,assumption,(node59(c_p1, s4)), introduced(assumption)).
% 50.60/33.28 tff(20052,plain,
% 50.60/33.28 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~node59(c_p1, s4)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~node59(c_p1, s4)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)))),
% 50.60/33.28 inference(rewrite,[status(thm)],[])).
% 50.60/33.28 tff(20053,plain,
% 50.60/33.28 (((~m_processor_v_CMD(c_p1, s4, c_read_h_shared)) | (~node59(c_p1, s4))) <=> ((~node59(c_p1, s4)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)))),
% 50.60/33.28 inference(rewrite,[status(thm)],[])).
% 50.60/33.28 tff(20054,plain,
% 50.60/33.28 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s4, c_read_h_shared)) | (~node59(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~node59(c_p1, s4)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared))))),
% 50.60/33.28 inference(monotonicity,[status(thm)],[20053])).
% 50.60/33.28 tff(20055,plain,
% 50.60/33.28 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s4, c_read_h_shared)) | (~node59(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~node59(c_p1, s4)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)))),
% 50.60/33.28 inference(transitivity,[status(thm)],[20054, 20052])).
% 50.60/33.28 tff(20056,plain,
% 50.60/33.28 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s4, c_read_h_shared)) | (~node59(c_p1, s4)))),
% 50.60/33.28 inference(quant_inst,[status(thm)],[])).
% 50.60/33.28 tff(20057,plain,
% 50.60/33.28 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~node59(c_p1, s4)) | (~m_processor_v_CMD(c_p1, s4, c_read_h_shared))),
% 50.60/33.28 inference(modus_ponens,[status(thm)],[20056, 20055])).
% 50.60/33.28 tff(20058,plain,
% 50.60/33.28 ($false),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[20057, 3834, 1238, 20051])).
% 50.60/33.28 tff(20059,plain,((~m_processor_v_CMD(c_p1, s4, c_read_h_shared)) | (~node59(c_p1, s4))), inference(lemma,lemma(discharge,[]))).
% 50.60/33.28 tff(20060,plain,
% 50.60/33.28 (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[20059, 20050])).
% 50.60/33.28 tff(20061,plain,
% 50.60/33.28 (~m_main_v_CMD(s4, c_read_h_shared)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[17681, 20060])).
% 50.60/33.28 tff(20062,plain,
% 50.60/33.28 (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[1617, 20061])).
% 50.60/33.28 tff(20063,plain,
% 50.60/33.28 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s4, c_read_h_owned)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s4, c_read_h_owned)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)))),
% 50.60/33.28 inference(rewrite,[status(thm)],[])).
% 50.60/33.28 tff(20064,plain,
% 50.60/33.28 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s4, c_read_h_owned)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)))),
% 50.60/33.28 inference(quant_inst,[status(thm)],[])).
% 50.60/33.28 tff(20065,plain,
% 50.60/33.28 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s4, c_read_h_owned)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared))),
% 50.60/33.28 inference(modus_ponens,[status(thm)],[20064, 20063])).
% 50.60/33.28 tff(20066,plain,
% 50.60/33.28 (~m_main_v_CMD(s4, c_read_h_owned)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[20065, 7940, 20022])).
% 50.60/33.28 tff(20067,plain,
% 50.60/33.28 (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[17687, 1612, 1218, 20066])).
% 50.60/33.28 tff(20068,plain,
% 50.60/33.28 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s4, c_idle)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s4, c_idle)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)))),
% 50.60/33.28 inference(rewrite,[status(thm)],[])).
% 50.60/33.28 tff(20069,plain,
% 50.60/33.28 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s4, c_idle)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)))),
% 50.60/33.28 inference(quant_inst,[status(thm)],[])).
% 50.60/33.28 tff(20070,plain,
% 50.60/33.28 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s4, c_idle)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared))),
% 50.60/33.28 inference(modus_ponens,[status(thm)],[20069, 20068])).
% 50.60/33.28 tff(20071,plain,
% 50.60/33.28 (~m_main_v_CMD(s4, c_idle)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[20070, 7650, 20022])).
% 50.60/33.28 tff(20072,plain,
% 50.60/33.28 (~m_processor_v_cmd(c_p0, s4, c_idle)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[20006, 20071, 1620, 1519])).
% 50.60/33.28 tff(20073,plain,
% 50.60/33.28 (m_processor_v_master(c_p0, s4)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[12616, 20072])).
% 50.60/33.28 tff(20074,plain,
% 50.60/33.28 (~m_processor_v_REPLY_h_STALL(c_p1, s4)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[1702, 20049])).
% 50.60/33.28 tff(20075,plain,
% 50.60/33.28 (~m_main_v_REPLY_h_STALL(s4)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[1718, 20074])).
% 50.60/33.28 tff(20076,plain,
% 50.60/33.28 (~m_processor_v_REPLY_h_STALL(c_p0, s4)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[1734, 20075])).
% 50.60/33.28 tff(20077,plain,
% 50.60/33.28 (m_processor_v_CMD(c_p0, s4, c_read_h_owned) | (~node61(c_p0, s4))),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[17691, 2268, 20062])).
% 50.60/33.28 tff(20078,plain,
% 50.60/33.28 (~node61(c_p0, s4)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[20077, 20067])).
% 50.60/33.28 tff(20079,plain,
% 50.60/33.28 (~m_processor_v_abort(c_p0, s4)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[1881, 20078, 20076])).
% 50.60/33.28 tff(20080,plain,
% 50.60/33.28 (node34(c_p0, s4, s5)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[1333, 20079, 20073])).
% 50.60/33.28 tff(20081,plain,
% 50.60/33.28 ($false),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[2250, 492, 953, 20080, 20067, 20062, 20048, 20043, 20034, 20024])).
% 50.60/33.28 tff(20082,plain,(m_processor_v_abort(c_p1, s4) | m_processor_v_state(c_p0, s5, c_shared) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_memory_v_cmd(c_m, s4, c_idle)) | node47(c_p1, s4) | node52(c_p1, s4, s5) | node48(c_p1, s4) | m_processor_v_snoop(c_p0, s4, c_invalid) | m_processor_v_snoop(c_p0, s4, c_owned) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s4))), inference(lemma,lemma(discharge,[]))).
% 50.60/33.28 tff(20083,plain,
% 50.60/33.28 (~m_memory_v_cmd(c_m, s4, c_idle)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[20082, 19866, 1620, 19857, 19853, 19852, 19851, 1425, 19850, 19451, 1925])).
% 50.60/33.28 tff(20084,plain,
% 50.60/33.28 (node29(c_m, s4)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[1325, 20083])).
% 50.60/33.28 tff(20085,plain,
% 50.60/33.28 (m_memory_v_busy(c_m, s4)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[2077, 20084])).
% 50.60/33.28 tff(20086,plain,
% 50.60/33.28 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | (m_memory_v_busy(c_m, s3) | (~m_memory_v_busy(c_m, s4)) | (~node18(c_m, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | m_memory_v_busy(c_m, s3) | (~m_memory_v_busy(c_m, s4)) | (~node18(c_m, s3, s4)))),
% 50.60/33.28 inference(rewrite,[status(thm)],[])).
% 50.60/33.28 tff(20087,plain,
% 50.60/33.28 (((~node18(c_m, s3, s4)) | m_memory_v_busy(c_m, s3) | (~m_memory_v_busy(c_m, s4))) <=> (m_memory_v_busy(c_m, s3) | (~m_memory_v_busy(c_m, s4)) | (~node18(c_m, s3, s4)))),
% 50.60/33.28 inference(rewrite,[status(thm)],[])).
% 50.60/33.28 tff(20088,plain,
% 50.60/33.28 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | ((~node18(c_m, s3, s4)) | m_memory_v_busy(c_m, s3) | (~m_memory_v_busy(c_m, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | (m_memory_v_busy(c_m, s3) | (~m_memory_v_busy(c_m, s4)) | (~node18(c_m, s3, s4))))),
% 50.60/33.28 inference(monotonicity,[status(thm)],[20087])).
% 50.60/33.28 tff(20089,plain,
% 50.60/33.28 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | ((~node18(c_m, s3, s4)) | m_memory_v_busy(c_m, s3) | (~m_memory_v_busy(c_m, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | m_memory_v_busy(c_m, s3) | (~m_memory_v_busy(c_m, s4)) | (~node18(c_m, s3, s4)))),
% 50.60/33.28 inference(transitivity,[status(thm)],[20088, 20086])).
% 50.60/33.28 tff(20090,plain,
% 50.60/33.28 ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | ((~node18(c_m, s3, s4)) | m_memory_v_busy(c_m, s3) | (~m_memory_v_busy(c_m, s4)))),
% 50.60/33.28 inference(quant_inst,[status(thm)],[])).
% 50.60/33.28 tff(20091,plain,
% 50.60/33.28 ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | m_memory_v_busy(c_m, s3) | (~m_memory_v_busy(c_m, s4)) | (~node18(c_m, s3, s4))),
% 50.60/33.28 inference(modus_ponens,[status(thm)],[20090, 20089])).
% 50.60/33.28 tff(20092,plain,
% 50.60/33.28 ($false),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[20091, 10278, 7332, 9847, 9857])).
% 50.60/33.28 tff(20093,plain,((~node18(c_m, s3, s4)) | (~m_memory_v_busy(c_m, s4)) | m_memory_v_busy(c_m, s3)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.28 tff(20094,plain,
% 50.60/33.28 (m_memory_v_busy(c_m, s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[20093, 20085, 19758])).
% 50.60/33.28 tff(20095,plain,
% 50.60/33.28 (~m_memory_v_REPLY_h_OWNED(c_m, s2)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[10424, 20094, 19680, 19667])).
% 50.60/33.28 tff(20096,plain,
% 50.60/33.28 ($false),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[10213, 10210, 20095, 19664])).
% 50.60/33.28 tff(20097,plain,(m_processor_v_state(c_p1, s3, c_invalid) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | node47(c_p1, s4) | node52(c_p1, s4, s5) | node48(c_p1, s4) | m_processor_v_abort(c_p1, s4) | (~m_processor_v_REPLY_h_WAITING(c_p1, s4)) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_master(c_p1, s3)) | node67(s9) | m_processor_v_state(c_p1, s3, c_owned) | node67(s6) | node67(s7) | node67(s8)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.28 tff(20098,plain,
% 50.60/33.28 (m_processor_v_state(c_p1, s3, c_invalid)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[20097, 19541, 19540, 19536, 19526, 19522, 19503, 19498, 6657, 19290, 5949, 5656, 5668, 5667, 5932])).
% 50.60/33.28 tff(20099,plain,
% 50.60/33.28 (~node32(c_p1, s3, s4)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[6812, 20098, 19133])).
% 50.60/33.28 tff(20100,plain,
% 50.60/33.28 (~m_processor_v_abort(c_p1, s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[6640, 20099])).
% 50.60/33.28 tff(20101,plain,
% 50.60/33.28 (node60(c_p1, s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[11803, 20100])).
% 50.60/33.28 tff(20102,plain,
% 50.60/33.28 (~m_processor_v_REPLY_h_STALL(c_p1, s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[12717, 20101])).
% 50.60/33.28 tff(20103,plain,
% 50.60/33.28 (~m_main_v_REPLY_h_STALL(s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[11820, 20102])).
% 50.60/33.28 tff(20104,plain,
% 50.60/33.28 (~m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[11826, 20103])).
% 50.60/33.28 tff(20105,plain,
% 50.60/33.28 (node34(c_p1, s3, s4)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[6720, 20100, 19290])).
% 50.60/33.28 tff(20106,plain,
% 50.60/33.28 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[6728, 416, 6657, 20105])).
% 50.60/33.28 tff(20107,plain,
% 50.60/33.28 (~m_main_v_CMD(s3, c_read_h_shared)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[10585, 20106])).
% 50.60/33.28 tff(20108,plain,
% 50.60/33.28 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[11528, 20107])).
% 50.60/33.28 tff(20109,plain,
% 50.60/33.28 (~node61(c_p0, s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[11909, 20108, 20101])).
% 50.60/33.28 tff(20110,plain,
% 50.60/33.28 (~m_processor_v_abort(c_p0, s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[11875, 20109, 20104])).
% 50.60/33.28 tff(20111,plain,
% 50.60/33.28 (~m_processor_v_master(c_p0, s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[9444, 794, 19290])).
% 50.60/33.28 tff(20112,plain,
% 50.60/33.28 (~node40(c_p0, s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[19773, 8367, 20108])).
% 50.60/33.28 tff(20113,plain,
% 50.60/33.28 (node44(c_p0, s3, s4)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[19821, 20112, 20111, 19498, 20110])).
% 50.60/33.28 tff(20114,plain,
% 50.60/33.28 (m_processor_v_master(c_p0, s3) | m_processor_v_reply_h_owned(c_p0, s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[19684, 10170, 19498])).
% 50.60/33.28 tff(20115,plain,
% 50.60/33.28 (m_processor_v_reply_h_owned(c_p0, s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[20114, 20111])).
% 50.60/33.28 tff(20116,plain,
% 50.60/33.28 (~node5(s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[19689, 10185, 20115])).
% 50.60/33.28 tff(20117,plain,
% 50.60/33.28 (m_main_v_REPLY_h_OWNED(s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[19697, 20116])).
% 50.60/33.28 tff(20118,plain,
% 50.60/33.28 (m_memory_v_REPLY_h_OWNED(c_m, s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[19705, 20117])).
% 50.60/33.28 tff(20119,plain,
% 50.60/33.28 (~node33(c_p1, s3, s4)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[6595, 830, 19132, 5656])).
% 50.60/33.28 tff(20120,plain,
% 50.60/33.28 (m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[6780, 20105, 6657, 19133, 20119])).
% 50.60/33.28 tff(20121,plain,
% 50.60/33.28 (m_main_v_CMD(s3, c_read_h_owned)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[12458, 20120])).
% 50.60/33.28 tff(20122,plain,
% 50.60/33.28 (m_memory_v_CMD(c_m, s3, c_read_h_owned)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[10550, 4207, 20121, 10083])).
% 50.60/33.28 tff(20123,plain,
% 50.60/33.28 (~node25(c_m, s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[19740, 9959, 20122])).
% 50.60/33.28 tff(20124,plain,
% 50.60/33.28 (~node26(c_m, s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[19749, 20123, 20118])).
% 50.60/33.28 tff(20125,plain,
% 50.60/33.28 (m_memory_v_abort(c_m, s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[19756, 20124])).
% 50.60/33.28 tff(20126,plain,
% 50.60/33.28 (node18(c_m, s3, s4)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[9878, 20125])).
% 50.60/33.28 tff(20127,plain,
% 50.60/33.28 (~node59(c_p1, s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[11907, 707, 20120])).
% 50.60/33.28 tff(20128,plain,
% 50.60/33.28 (~m_processor_v_REPLY_h_WAITING(c_p1, s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[11842, 724, 20101, 20127])).
% 50.60/33.28 tff(20129,plain,
% 50.60/33.28 (~m_main_v_REPLY_h_WAITING(s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[11851, 20128])).
% 50.60/33.28 tff(20130,assumption,(~node6(s3)), introduced(assumption)).
% 50.60/33.28 tff(20131,plain,
% 50.60/33.28 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | (m_main_v_REPLY_h_WAITING(s3) | node6(s3))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | m_main_v_REPLY_h_WAITING(s3) | node6(s3))),
% 50.60/33.28 inference(rewrite,[status(thm)],[])).
% 50.60/33.28 tff(20132,plain,
% 50.60/33.28 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | (m_main_v_REPLY_h_WAITING(s3) | node6(s3))),
% 50.60/33.28 inference(quant_inst,[status(thm)],[])).
% 50.60/33.28 tff(20133,plain,
% 50.60/33.28 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | m_main_v_REPLY_h_WAITING(s3) | node6(s3)),
% 50.60/33.28 inference(modus_ponens,[status(thm)],[20132, 20131])).
% 50.60/33.28 tff(20134,plain,
% 50.60/33.28 ($false),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[20133, 760, 11854, 20130])).
% 50.60/33.28 tff(20135,plain,(m_main_v_REPLY_h_WAITING(s3) | node6(s3)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.28 tff(20136,plain,
% 50.60/33.28 (node6(s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[20135, 20129])).
% 50.60/33.28 tff(20137,assumption,(node6(s3)), introduced(assumption)).
% 50.60/33.28 tff(20138,assumption,(m_processor_v_reply_h_waiting(c_p0, s3)), introduced(assumption)).
% 50.60/33.28 tff(20139,plain,
% 50.60/33.28 (((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | ((~node6(s3)) | (~m_processor_v_reply_h_waiting(c_p0, s3)))) <=> ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | (~node6(s3)) | (~m_processor_v_reply_h_waiting(c_p0, s3)))),
% 50.60/33.28 inference(rewrite,[status(thm)],[])).
% 50.60/33.28 tff(20140,plain,
% 50.60/33.28 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | ((~node6(s3)) | (~m_processor_v_reply_h_waiting(c_p0, s3)))),
% 50.60/33.28 inference(quant_inst,[status(thm)],[])).
% 50.60/33.28 tff(20141,plain,
% 50.60/33.28 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | (~node6(s3)) | (~m_processor_v_reply_h_waiting(c_p0, s3))),
% 50.60/33.28 inference(modus_ponens,[status(thm)],[20140, 20139])).
% 50.60/33.28 tff(20142,plain,
% 50.60/33.28 ($false),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[20141, 778, 20138, 20137])).
% 50.60/33.28 tff(20143,plain,((~m_processor_v_reply_h_waiting(c_p0, s3)) | (~node6(s3))), inference(lemma,lemma(discharge,[]))).
% 50.60/33.28 tff(20144,plain,
% 50.60/33.28 (~m_processor_v_reply_h_waiting(c_p0, s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[20143, 20136])).
% 50.60/33.28 tff(20145,plain,
% 50.60/33.28 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p0, s3)) | m_processor_v_master(c_p0, s3) | m_processor_v_reply_h_waiting(c_p0, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s3)) | m_processor_v_master(c_p0, s3) | m_processor_v_reply_h_waiting(c_p0, s3))),
% 50.60/33.28 inference(rewrite,[status(thm)],[])).
% 50.60/33.28 tff(20146,plain,
% 50.60/33.28 ((m_processor_v_master(c_p0, s3) | (~m_processor_v_waiting(c_p0, s3)) | m_processor_v_reply_h_waiting(c_p0, s3)) <=> ((~m_processor_v_waiting(c_p0, s3)) | m_processor_v_master(c_p0, s3) | m_processor_v_reply_h_waiting(c_p0, s3))),
% 50.60/33.28 inference(rewrite,[status(thm)],[])).
% 50.60/33.28 tff(20147,plain,
% 50.60/33.28 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s3) | (~m_processor_v_waiting(c_p0, s3)) | m_processor_v_reply_h_waiting(c_p0, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p0, s3)) | m_processor_v_master(c_p0, s3) | m_processor_v_reply_h_waiting(c_p0, s3)))),
% 50.60/33.28 inference(monotonicity,[status(thm)],[20146])).
% 50.60/33.28 tff(20148,plain,
% 50.60/33.28 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s3) | (~m_processor_v_waiting(c_p0, s3)) | m_processor_v_reply_h_waiting(c_p0, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s3)) | m_processor_v_master(c_p0, s3) | m_processor_v_reply_h_waiting(c_p0, s3))),
% 50.60/33.28 inference(transitivity,[status(thm)],[20147, 20145])).
% 50.60/33.28 tff(20149,plain,
% 50.60/33.28 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s3) | (~m_processor_v_waiting(c_p0, s3)) | m_processor_v_reply_h_waiting(c_p0, s3))),
% 50.60/33.28 inference(quant_inst,[status(thm)],[])).
% 50.60/33.28 tff(20150,plain,
% 50.60/33.28 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s3)) | m_processor_v_master(c_p0, s3) | m_processor_v_reply_h_waiting(c_p0, s3)),
% 50.60/33.28 inference(modus_ponens,[status(thm)],[20149, 20148])).
% 50.60/33.28 tff(20151,plain,
% 50.60/33.28 ((~m_processor_v_waiting(c_p0, s3)) | m_processor_v_reply_h_waiting(c_p0, s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[20150, 2296, 20111])).
% 50.60/33.28 tff(20152,plain,
% 50.60/33.28 (~m_processor_v_waiting(c_p0, s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[20151, 20144])).
% 50.60/33.28 tff(20153,plain,
% 50.60/33.28 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)))),
% 50.60/33.28 inference(rewrite,[status(thm)],[])).
% 50.60/33.28 tff(20154,plain,
% 50.60/33.28 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)))),
% 50.60/33.28 inference(quant_inst,[status(thm)],[])).
% 50.60/33.28 tff(20155,plain,
% 50.60/33.28 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_write_h_resp_h_invalid))),
% 50.60/33.28 inference(modus_ponens,[status(thm)],[20154, 20153])).
% 50.60/33.28 tff(20156,plain,
% 50.60/33.28 (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[20155, 7953, 20121])).
% 50.60/33.28 tff(20157,plain,
% 50.60/33.28 (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[11590, 1612, 20156, 9538])).
% 50.60/33.28 tff(20158,plain,
% 50.60/33.28 (~node50(c_p0, s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[11601, 11598, 20157])).
% 50.60/33.28 tff(20159,plain,
% 50.60/33.28 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))),
% 50.60/33.28 inference(rewrite,[status(thm)],[])).
% 50.60/33.28 tff(20160,plain,
% 50.60/33.28 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared)))),
% 50.60/33.28 inference(quant_inst,[status(thm)],[])).
% 50.60/33.28 tff(20161,plain,
% 50.60/33.28 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s3, c_read_h_owned)) | (~m_main_v_CMD(s3, c_write_h_resp_h_shared))),
% 50.60/33.28 inference(modus_ponens,[status(thm)],[20160, 20159])).
% 50.60/33.28 tff(20162,plain,
% 50.60/33.28 (~m_main_v_CMD(s3, c_write_h_resp_h_shared)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[20161, 7940, 20121])).
% 50.60/33.28 tff(20163,plain,
% 50.60/33.28 (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[11539, 1612, 9538, 20162])).
% 50.60/33.28 tff(20164,plain,
% 50.60/33.28 (~node51(c_p0, s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[11554, 20163])).
% 50.60/33.28 tff(20165,plain,
% 50.60/33.28 (~node47(c_p0, s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[17066, 12108, 20111])).
% 50.60/33.28 tff(20166,plain,
% 50.60/33.28 (~node48(c_p0, s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[11565, 11562, 20111])).
% 50.60/33.28 tff(20167,plain,
% 50.60/33.28 (~m_main_v_CMD(s3, c_response)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[17143, 20105, 20119])).
% 50.60/33.28 tff(20168,plain,
% 50.60/33.28 (~m_processor_v_CMD(c_p0, s3, c_response)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[11571, 1612, 9538, 20167])).
% 50.60/33.28 tff(20169,plain,
% 50.60/33.28 (~node49(c_p0, s3)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[11582, 11579, 20168])).
% 50.60/33.28 tff(20170,plain,
% 50.60/33.28 (node52(c_p0, s3, s4)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[11619, 20169, 20166, 20165, 20110, 20164, 20158])).
% 50.60/33.28 tff(20171,plain,
% 50.60/33.28 (^[Y: $i, I0: $i, X: $i] : refl((m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y))) <=> (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y))))),
% 50.60/33.28 inference(bind,[status(th)],[])).
% 50.60/33.28 tff(20172,plain,
% 50.60/33.28 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))),
% 50.60/33.28 inference(quant_intro,[status(thm)],[20171])).
% 50.60/33.28 tff(20173,plain,
% 50.60/33.28 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))),
% 50.60/33.28 inference(rewrite,[status(thm)],[])).
% 50.60/33.28 tff(20174,plain,
% 50.60/33.28 (^[Y: $i, I0: $i, X: $i] : rewrite((((~m_processor_v_waiting(I0, Y)) | m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y))) <=> (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y))))),
% 50.60/33.28 inference(bind,[status(th)],[])).
% 50.60/33.28 tff(20175,plain,
% 50.60/33.28 (![Y: $i, I0: $i, X: $i] : (((~m_processor_v_waiting(I0, Y)) | m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))),
% 50.60/33.28 inference(quant_intro,[status(thm)],[20174])).
% 50.60/33.28 tff(20176,axiom,(![Y: $i, I0: $i, X: $i] : (((~m_processor_v_waiting(I0, Y)) | m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_107')).
% 50.60/33.28 tff(20177,plain,
% 50.60/33.28 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))),
% 50.60/33.28 inference(modus_ponens,[status(thm)],[20176, 20175])).
% 50.60/33.28 tff(20178,plain,
% 50.60/33.28 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))),
% 50.60/33.28 inference(modus_ponens,[status(thm)],[20177, 20173])).
% 50.60/33.28 tff(20179,plain,(
% 50.60/33.28 ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))),
% 50.60/33.28 inference(skolemize,[status(sab)],[20178])).
% 50.60/33.28 tff(20180,plain,
% 50.60/33.28 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))),
% 50.60/33.28 inference(modus_ponens,[status(thm)],[20179, 20172])).
% 50.60/33.28 tff(20181,plain,
% 50.60/33.28 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s3) | (~m_processor_v_waiting(c_p0, s4)) | (~node52(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_waiting(c_p0, s4)) | (~node52(c_p0, s3, s4)))),
% 50.60/33.28 inference(rewrite,[status(thm)],[])).
% 50.60/33.28 tff(20182,plain,
% 50.60/33.28 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s3) | (~m_processor_v_waiting(c_p0, s4)) | (~node52(c_p0, s3, s4)))),
% 50.60/33.28 inference(quant_inst,[status(thm)],[])).
% 50.60/33.28 tff(20183,plain,
% 50.60/33.28 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | m_processor_v_waiting(c_p0, s3) | (~m_processor_v_waiting(c_p0, s4)) | (~node52(c_p0, s3, s4))),
% 50.60/33.28 inference(modus_ponens,[status(thm)],[20182, 20181])).
% 50.60/33.28 tff(20184,plain,
% 50.60/33.28 (~m_processor_v_waiting(c_p0, s4)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[20183, 20180, 20170, 20152])).
% 50.60/33.28 tff(20185,plain,
% 50.60/33.28 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_waiting(I0, X) | m_processor_v_writable(I0, X))) | ((~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_waiting(c_p0, s4) | m_processor_v_writable(c_p0, s4))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_waiting(I0, X) | m_processor_v_writable(I0, X))) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_waiting(c_p0, s4) | m_processor_v_writable(c_p0, s4))),
% 50.60/33.28 inference(rewrite,[status(thm)],[])).
% 50.60/33.28 tff(20186,plain,
% 50.60/33.28 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_waiting(I0, X) | m_processor_v_writable(I0, X))) | ((~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_waiting(c_p0, s4) | m_processor_v_writable(c_p0, s4))),
% 50.60/33.28 inference(quant_inst,[status(thm)],[])).
% 50.60/33.28 tff(20187,plain,
% 50.60/33.28 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_waiting(I0, X) | m_processor_v_writable(I0, X))) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_waiting(c_p0, s4) | m_processor_v_writable(c_p0, s4)),
% 50.60/33.28 inference(modus_ponens,[status(thm)],[20186, 20185])).
% 50.60/33.28 tff(20188,plain,
% 50.60/33.28 (m_processor_v_waiting(c_p0, s4) | m_processor_v_writable(c_p0, s4)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[20187, 10614, 19451])).
% 50.60/33.28 tff(20189,plain,
% 50.60/33.28 (m_processor_v_writable(c_p0, s4)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[20188, 20184])).
% 50.60/33.28 tff(20190,plain,
% 50.60/33.28 (node56(c_p0, s4)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[67, 28, 20189])).
% 50.60/33.28 tff(20191,plain,
% 50.60/33.28 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p0, s2) | (~node48(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p0, s2) | (~node48(c_p0, s2)))),
% 50.60/33.28 inference(rewrite,[status(thm)],[])).
% 50.60/33.28 tff(20192,plain,
% 50.60/33.28 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p0, s2) | (~node48(c_p0, s2)))),
% 50.60/33.28 inference(quant_inst,[status(thm)],[])).
% 50.60/33.28 tff(20193,plain,
% 50.60/33.28 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p0, s2) | (~node48(c_p0, s2))),
% 50.60/33.28 inference(modus_ponens,[status(thm)],[20192, 20191])).
% 50.60/33.28 tff(20194,plain,
% 50.60/33.28 (~node48(c_p0, s2)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[20193, 11562, 2622])).
% 50.60/33.28 tff(20195,plain,
% 50.60/33.28 (m_processor_v_state(c_p0, s2, c_owned)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[2775, 2622, 2652])).
% 50.60/33.28 tff(20196,plain,
% 50.60/33.28 (~m_processor_v_state(c_p0, s2, c_shared)),
% 50.60/33.28 inference(unit_resolution,[status(thm)],[5000, 121, 20195])).
% 50.60/33.28 tff(20197,plain,
% 50.60/33.28 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p0, s2) | (~node47(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p0, s2) | (~node47(c_p0, s2)))),
% 50.60/33.28 inference(rewrite,[status(thm)],[])).
% 50.60/33.28 tff(20198,plain,
% 50.60/33.28 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p0, s2) | (~node47(c_p0, s2)))),
% 50.60/33.28 inference(quant_inst,[status(thm)],[])).
% 50.60/33.28 tff(20199,plain,
% 50.60/33.28 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p0, s2) | (~node47(c_p0, s2))),
% 50.60/33.28 inference(modus_ponens,[status(thm)],[20198, 20197])).
% 50.60/33.28 tff(20200,plain,
% 50.60/33.29 (~node47(c_p0, s2)),
% 50.60/33.29 inference(unit_resolution,[status(thm)],[20199, 12108, 2622])).
% 50.60/33.29 tff(20201,plain,
% 50.60/33.29 (m_processor_v_reply_h_owned(c_p0, s2)),
% 50.60/33.29 inference(unit_resolution,[status(thm)],[10173, 10170, 2622, 20195])).
% 50.60/33.29 tff(20202,plain,
% 50.60/33.29 (~node5(s2)),
% 50.60/33.29 inference(unit_resolution,[status(thm)],[10188, 10185, 20201])).
% 50.60/33.29 tff(20203,plain,
% 50.60/33.29 (m_main_v_REPLY_h_OWNED(s2)),
% 50.60/33.29 inference(unit_resolution,[status(thm)],[10199, 10196, 20202])).
% 50.60/33.29 tff(20204,plain,
% 50.60/33.29 (m_memory_v_REPLY_h_OWNED(c_m, s2)),
% 50.60/33.29 inference(unit_resolution,[status(thm)],[10213, 10210, 20203])).
% 50.60/33.29 tff(20205,plain,
% 50.60/33.29 (~m_processor_v_state(c_p0, s2, c_invalid)),
% 50.60/33.29 inference(unit_resolution,[status(thm)],[9671, 2622, 56])).
% 50.60/33.29 tff(20206,plain,
% 50.60/33.29 (m_memory_v_busy(c_m, s2)),
% 50.60/33.29 inference(unit_resolution,[status(thm)],[10452, 20204, 9858])).
% 50.60/33.29 tff(20207,assumption,(~m_processor_v_waiting(c_p0, s2)), introduced(assumption)).
% 50.60/33.29 tff(20208,assumption,(~node34(c_p0, s0, s1)), introduced(assumption)).
% 50.60/33.29 tff(20209,plain,
% 50.60/33.29 ($false),
% 50.60/33.29 inference(unit_resolution,[status(thm)],[7970, 2821, 2847, 20208])).
% 50.60/33.29 tff(20210,plain,(m_processor_v_state(c_p0, s1, c_invalid) | node34(c_p0, s0, s1)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.29 tff(20211,plain,
% 50.60/33.29 (node34(c_p0, s0, s1)),
% 50.60/33.29 inference(unit_resolution,[status(thm)],[20210, 2782])).
% 50.60/33.29 tff(20212,plain,
% 50.60/33.29 (node32(c_p0, s1, s2)),
% 50.60/33.29 inference(unit_resolution,[status(thm)],[3871, 8230])).
% 50.60/33.29 tff(20213,plain,
% 50.60/33.29 (~m_processor_v_state(c_p0, s1, c_invalid)),
% 50.60/33.29 inference(unit_resolution,[status(thm)],[3857, 20212, 3847])).
% 50.60/33.29 tff(20214,plain,
% 50.60/33.29 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s1, s2)) | node53(c_p0, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s1, s2)) | node53(c_p0, s1, s2))),
% 50.60/33.29 inference(rewrite,[status(thm)],[])).
% 50.60/33.29 tff(20215,plain,
% 50.60/33.29 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s1, s2)) | node53(c_p0, s1, s2))),
% 50.60/33.29 inference(quant_inst,[status(thm)],[])).
% 50.60/33.29 tff(20216,plain,
% 50.60/33.29 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s1, s2)) | node53(c_p0, s1, s2)),
% 50.60/33.29 inference(modus_ponens,[status(thm)],[20215, 20214])).
% 50.60/33.29 tff(20217,plain,
% 50.60/33.29 (node53(c_p0, s1, s2)),
% 50.60/33.29 inference(unit_resolution,[status(thm)],[20216, 575, 3136])).
% 50.60/33.29 tff(20218,plain,
% 50.60/33.29 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s1)) | node46(c_p0, s1, s2) | (~node53(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s1)) | node46(c_p0, s1, s2) | (~node53(c_p0, s1, s2)))),
% 50.60/33.29 inference(rewrite,[status(thm)],[])).
% 50.60/33.29 tff(20219,plain,
% 50.60/33.29 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s1)) | node46(c_p0, s1, s2) | (~node53(c_p0, s1, s2)))),
% 50.60/33.29 inference(quant_inst,[status(thm)],[])).
% 50.60/33.29 tff(20220,plain,
% 50.60/33.29 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s1)) | node46(c_p0, s1, s2) | (~node53(c_p0, s1, s2))),
% 50.60/33.29 inference(modus_ponens,[status(thm)],[20219, 20218])).
% 50.60/33.29 tff(20221,plain,
% 50.60/33.29 ((~m_processor_v_abort(c_p0, s1)) | node46(c_p0, s1, s2)),
% 50.60/33.29 inference(unit_resolution,[status(thm)],[20220, 11690, 20217])).
% 50.60/33.29 tff(20222,plain,
% 50.60/33.29 (node46(c_p0, s1, s2)),
% 50.60/33.29 inference(unit_resolution,[status(thm)],[20221, 8230])).
% 50.60/33.29 tff(20223,assumption,(node46(c_p0, s1, s2)), introduced(assumption)).
% 50.60/33.29 tff(20224,plain,
% 50.60/33.29 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s1)) | m_processor_v_waiting(c_p0, s2) | (~node46(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s1)) | m_processor_v_waiting(c_p0, s2) | (~node46(c_p0, s1, s2)))),
% 50.60/33.29 inference(rewrite,[status(thm)],[])).
% 50.60/33.29 tff(20225,plain,
% 50.60/33.29 ((m_processor_v_waiting(c_p0, s2) | (~m_processor_v_waiting(c_p0, s1)) | (~node46(c_p0, s1, s2))) <=> ((~m_processor_v_waiting(c_p0, s1)) | m_processor_v_waiting(c_p0, s2) | (~node46(c_p0, s1, s2)))),
% 50.60/33.29 inference(rewrite,[status(thm)],[])).
% 50.60/33.29 tff(20226,plain,
% 50.60/33.29 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s2) | (~m_processor_v_waiting(c_p0, s1)) | (~node46(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s1)) | m_processor_v_waiting(c_p0, s2) | (~node46(c_p0, s1, s2))))),
% 50.60/33.29 inference(monotonicity,[status(thm)],[20225])).
% 50.60/33.29 tff(20227,plain,
% 50.60/33.29 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s2) | (~m_processor_v_waiting(c_p0, s1)) | (~node46(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s1)) | m_processor_v_waiting(c_p0, s2) | (~node46(c_p0, s1, s2)))),
% 50.60/33.29 inference(transitivity,[status(thm)],[20226, 20224])).
% 50.60/33.29 tff(20228,plain,
% 50.60/33.29 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s2) | (~m_processor_v_waiting(c_p0, s1)) | (~node46(c_p0, s1, s2)))),
% 50.60/33.29 inference(quant_inst,[status(thm)],[])).
% 50.60/33.29 tff(20229,plain,
% 50.60/33.29 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s1)) | m_processor_v_waiting(c_p0, s2) | (~node46(c_p0, s1, s2))),
% 50.60/33.29 inference(modus_ponens,[status(thm)],[20228, 20227])).
% 50.60/33.29 tff(20230,plain,
% 50.60/33.29 ($false),
% 50.60/33.29 inference(unit_resolution,[status(thm)],[20229, 11708, 3109, 20207, 20223])).
% 50.60/33.29 tff(20231,plain,((~node46(c_p0, s1, s2)) | (~m_processor_v_waiting(c_p0, s1)) | m_processor_v_waiting(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.29 tff(20232,plain,
% 50.60/33.29 (~m_processor_v_waiting(c_p0, s1)),
% 50.60/33.29 inference(unit_resolution,[status(thm)],[20231, 20222, 20207])).
% 50.60/33.29 tff(20233,plain,
% 50.60/33.29 ($false),
% 50.60/33.29 inference(unit_resolution,[status(thm)],[3054, 2821, 2847, 2848])).
% 50.60/33.29 tff(20234,plain,(m_processor_v_state(c_p0, s1, c_invalid) | m_processor_v_waiting(c_p0, s1)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.29 tff(20235,plain,
% 50.60/33.29 ($false),
% 50.60/33.29 inference(unit_resolution,[status(thm)],[20234, 20232, 20213])).
% 50.60/33.29 tff(20236,plain,((~m_processor_v_abort(c_p0, s1)) | m_processor_v_waiting(c_p0, s2) | m_processor_v_state(c_p0, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.60/33.29 tff(20237,plain,
% 50.60/33.29 (~m_processor_v_abort(c_p0, s1)),
% 50.60/33.29 inference(unit_resolution,[status(thm)],[20236, 20207, 3847])).
% 50.60/33.29 tff(20238,plain,
% 50.60/33.29 (node60(c_p0, s1)),
% 50.60/33.29 inference(unit_resolution,[status(thm)],[3879, 20237])).
% 50.60/33.29 tff(20239,plain,
% 50.60/33.29 (~m_processor_v_REPLY_h_STALL(c_p0, s1)),
% 50.60/33.29 inference(unit_resolution,[status(thm)],[3887, 20238])).
% 50.60/33.29 tff(20240,plain,
% 50.60/33.29 (~m_main_v_REPLY_h_STALL(s1)),
% 50.60/33.29 inference(unit_resolution,[status(thm)],[3895, 20239])).
% 50.60/33.29 tff(20241,plain,
% 50.60/33.29 (node7(s1)),
% 50.60/33.29 inference(unit_resolution,[status(thm)],[3910, 20240])).
% 50.60/33.29 tff(20242,plain,
% 50.60/33.29 (~m_memory_v_reply_h_stall(c_m, s1)),
% 50.60/33.29 inference(unit_resolution,[status(thm)],[3928, 20241])).
% 50.60/33.29 tff(20243,plain,
% 50.60/33.29 (m_memory_v_busy(c_m, s1)),
% 50.60/33.29 inference(unit_resolution,[status(thm)],[11133, 2782])).
% 50.60/33.29 tff(20244,plain,
% 50.60/33.29 (node30(c_m, s1)),
% 50.60/33.29 inference(unit_resolution,[status(thm)],[4827, 20243, 20242])).
% 50.60/33.29 tff(20245,plain,
% 50.60/33.29 (~m_memory_v_CMD(c_m, s1, c_read_h_owned)),
% 50.60/33.29 inference(unit_resolution,[status(thm)],[5070, 20244])).
% 50.60/33.29 tff(20246,plain,
% 50.60/33.29 (m_processor_v_waiting(c_p0, s1)),
% 50.60/33.29 inference(unit_resolution,[status(thm)],[20234, 2782])).
% 50.60/33.29 tff(20247,plain,
% 50.60/33.29 (~m_main_v_CMD(s1, c_read_h_owned)),
% 50.60/33.29 inference(unit_resolution,[status(thm)],[5034, 5029])).
% 50.60/33.29 tff(20248,plain,
% 50.60/33.29 (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)),
% 50.68/33.29 inference(unit_resolution,[status(thm)],[8228, 20247])).
% 50.68/33.29 tff(20249,assumption,(node48(c_p0, s1)), introduced(assumption)).
% 50.68/33.29 tff(20250,plain,
% 50.68/33.29 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~node48(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~node48(c_p0, s1)))),
% 50.68/33.29 inference(rewrite,[status(thm)],[])).
% 50.68/33.29 tff(20251,plain,
% 50.68/33.29 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~node48(c_p0, s1)))),
% 50.68/33.29 inference(quant_inst,[status(thm)],[])).
% 50.68/33.29 tff(20252,plain,
% 50.68/33.29 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~node48(c_p0, s1))),
% 50.68/33.29 inference(modus_ponens,[status(thm)],[20251, 20250])).
% 50.68/33.29 tff(20253,plain,
% 50.68/33.29 ($false),
% 50.68/33.29 inference(unit_resolution,[status(thm)],[20252, 16883, 4903, 20249])).
% 50.68/33.29 tff(20254,plain,((~node48(c_p0, s1)) | m_processor_v_CMD(c_p0, s1, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.29 tff(20255,plain,
% 50.68/33.29 (~node48(c_p0, s1)),
% 50.68/33.29 inference(unit_resolution,[status(thm)],[20254, 20248])).
% 50.68/33.29 tff(20256,plain,
% 50.68/33.29 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~node47(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~node47(c_p0, s1)))),
% 50.68/33.29 inference(rewrite,[status(thm)],[])).
% 50.68/33.29 tff(20257,plain,
% 50.68/33.29 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~node47(c_p0, s1)))),
% 50.68/33.29 inference(quant_inst,[status(thm)],[])).
% 50.68/33.29 tff(20258,plain,
% 50.68/33.29 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p0, s1, c_read_h_shared) | (~node47(c_p0, s1))),
% 50.68/33.29 inference(modus_ponens,[status(thm)],[20257, 20256])).
% 50.68/33.29 tff(20259,plain,
% 50.68/33.29 (~node47(c_p0, s1)),
% 50.68/33.29 inference(unit_resolution,[status(thm)],[20258, 657, 4917])).
% 50.68/33.29 tff(20260,plain,
% 50.68/33.29 (~m_main_v_CMD(s1, c_read_h_shared)),
% 50.68/33.29 inference(unit_resolution,[status(thm)],[5024, 1228, 4907, 4917])).
% 50.68/33.29 tff(20261,plain,
% 50.68/33.29 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~m_memory_v_CMD(c_m, s1, c_read_h_shared)) | (~node1(s1)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s1, c_read_h_shared) | (~m_memory_v_CMD(c_m, s1, c_read_h_shared)) | (~node1(s1)))),
% 50.68/33.29 inference(rewrite,[status(thm)],[])).
% 50.68/33.29 tff(20262,plain,
% 50.68/33.29 (((~node1(s1)) | m_main_v_CMD(s1, c_read_h_shared) | (~m_memory_v_CMD(c_m, s1, c_read_h_shared))) <=> (m_main_v_CMD(s1, c_read_h_shared) | (~m_memory_v_CMD(c_m, s1, c_read_h_shared)) | (~node1(s1)))),
% 50.68/33.29 inference(rewrite,[status(thm)],[])).
% 50.68/33.29 tff(20263,plain,
% 50.68/33.29 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s1)) | m_main_v_CMD(s1, c_read_h_shared) | (~m_memory_v_CMD(c_m, s1, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~m_memory_v_CMD(c_m, s1, c_read_h_shared)) | (~node1(s1))))),
% 50.68/33.29 inference(monotonicity,[status(thm)],[20262])).
% 50.68/33.29 tff(20264,plain,
% 50.68/33.29 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s1)) | m_main_v_CMD(s1, c_read_h_shared) | (~m_memory_v_CMD(c_m, s1, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s1, c_read_h_shared) | (~m_memory_v_CMD(c_m, s1, c_read_h_shared)) | (~node1(s1)))),
% 50.68/33.29 inference(transitivity,[status(thm)],[20263, 20261])).
% 50.68/33.29 tff(20265,plain,
% 50.68/33.29 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s1)) | m_main_v_CMD(s1, c_read_h_shared) | (~m_memory_v_CMD(c_m, s1, c_read_h_shared)))),
% 50.68/33.29 inference(quant_inst,[status(thm)],[])).
% 50.68/33.29 tff(20266,plain,
% 50.68/33.29 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s1, c_read_h_shared) | (~m_memory_v_CMD(c_m, s1, c_read_h_shared)) | (~node1(s1))),
% 50.68/33.29 inference(modus_ponens,[status(thm)],[20265, 20264])).
% 50.68/33.29 tff(20267,plain,
% 50.68/33.29 (~m_memory_v_CMD(c_m, s1, c_read_h_shared)),
% 50.68/33.29 inference(unit_resolution,[status(thm)],[20266, 4693, 4961, 20260])).
% 50.68/33.29 tff(20268,plain,
% 50.68/33.29 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | ((~node27(c_m, s1)) | m_memory_v_CMD(c_m, s1, c_read_h_owned) | m_memory_v_CMD(c_m, s1, c_read_h_shared))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (~node27(c_m, s1)) | m_memory_v_CMD(c_m, s1, c_read_h_owned) | m_memory_v_CMD(c_m, s1, c_read_h_shared))),
% 50.68/33.29 inference(rewrite,[status(thm)],[])).
% 50.68/33.29 tff(20269,plain,
% 50.68/33.29 ((m_memory_v_CMD(c_m, s1, c_read_h_owned) | m_memory_v_CMD(c_m, s1, c_read_h_shared) | (~node27(c_m, s1))) <=> ((~node27(c_m, s1)) | m_memory_v_CMD(c_m, s1, c_read_h_owned) | m_memory_v_CMD(c_m, s1, c_read_h_shared))),
% 50.68/33.29 inference(rewrite,[status(thm)],[])).
% 50.68/33.29 tff(20270,plain,
% 50.68/33.29 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (m_memory_v_CMD(c_m, s1, c_read_h_owned) | m_memory_v_CMD(c_m, s1, c_read_h_shared) | (~node27(c_m, s1)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | ((~node27(c_m, s1)) | m_memory_v_CMD(c_m, s1, c_read_h_owned) | m_memory_v_CMD(c_m, s1, c_read_h_shared)))),
% 50.68/33.29 inference(monotonicity,[status(thm)],[20269])).
% 50.68/33.29 tff(20271,plain,
% 50.68/33.29 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (m_memory_v_CMD(c_m, s1, c_read_h_owned) | m_memory_v_CMD(c_m, s1, c_read_h_shared) | (~node27(c_m, s1)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (~node27(c_m, s1)) | m_memory_v_CMD(c_m, s1, c_read_h_owned) | m_memory_v_CMD(c_m, s1, c_read_h_shared))),
% 50.68/33.29 inference(transitivity,[status(thm)],[20270, 20268])).
% 50.68/33.29 tff(20272,plain,
% 50.68/33.29 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (m_memory_v_CMD(c_m, s1, c_read_h_owned) | m_memory_v_CMD(c_m, s1, c_read_h_shared) | (~node27(c_m, s1)))),
% 50.68/33.29 inference(quant_inst,[status(thm)],[])).
% 50.68/33.29 tff(20273,plain,
% 50.68/33.29 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (~node27(c_m, s1)) | m_memory_v_CMD(c_m, s1, c_read_h_owned) | m_memory_v_CMD(c_m, s1, c_read_h_shared)),
% 50.68/33.29 inference(modus_ponens,[status(thm)],[20272, 20271])).
% 50.68/33.29 tff(20274,plain,
% 50.68/33.29 (~node27(c_m, s1)),
% 50.68/33.29 inference(unit_resolution,[status(thm)],[20273, 4738, 5029, 20267])).
% 50.68/33.29 tff(20275,plain,
% 50.68/33.29 (node60(c_p0, s1)),
% 50.68/33.29 inference(unit_resolution,[status(thm)],[3879, 3874])).
% 50.68/33.29 tff(20276,plain,
% 50.68/33.29 (~m_processor_v_REPLY_h_STALL(c_p0, s1)),
% 50.68/33.29 inference(unit_resolution,[status(thm)],[3887, 20275])).
% 50.68/33.29 tff(20277,plain,
% 50.68/33.29 (~m_main_v_REPLY_h_STALL(s1)),
% 50.68/33.29 inference(unit_resolution,[status(thm)],[3895, 20276])).
% 50.68/33.29 tff(20278,assumption,(m_memory_v_REPLY_h_STALL(c_m, s1)), introduced(assumption)).
% 50.68/33.29 tff(20279,plain,
% 50.68/33.29 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | (m_main_v_REPLY_h_STALL(s1) | (~m_memory_v_REPLY_h_STALL(c_m, s1)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | m_main_v_REPLY_h_STALL(s1) | (~m_memory_v_REPLY_h_STALL(c_m, s1)))),
% 50.68/33.29 inference(rewrite,[status(thm)],[])).
% 50.68/33.29 tff(20280,plain,
% 50.68/33.29 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | (m_main_v_REPLY_h_STALL(s1) | (~m_memory_v_REPLY_h_STALL(c_m, s1)))),
% 50.68/33.29 inference(quant_inst,[status(thm)],[])).
% 50.68/33.29 tff(20281,plain,
% 50.68/33.29 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | m_main_v_REPLY_h_STALL(s1) | (~m_memory_v_REPLY_h_STALL(c_m, s1))),
% 50.68/33.29 inference(modus_ponens,[status(thm)],[20280, 20279])).
% 50.68/33.29 tff(20282,plain,
% 50.68/33.29 ($false),
% 50.68/33.29 inference(unit_resolution,[status(thm)],[20281, 4014, 3898, 20278])).
% 50.68/33.29 tff(20283,plain,((~m_memory_v_REPLY_h_STALL(c_m, s1)) | m_main_v_REPLY_h_STALL(s1)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.29 tff(20284,plain,
% 50.68/33.29 (~m_memory_v_REPLY_h_STALL(c_m, s1)),
% 50.68/33.29 inference(unit_resolution,[status(thm)],[20283, 20277])).
% 50.68/33.29 tff(20285,plain,
% 50.68/33.29 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | (m_memory_v_CMD(c_m, s1, c_read_h_owned) | m_memory_v_CMD(c_m, s1, c_read_h_shared) | (~node28(c_m, s1)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | m_memory_v_CMD(c_m, s1, c_read_h_owned) | m_memory_v_CMD(c_m, s1, c_read_h_shared) | (~node28(c_m, s1)))),
% 50.68/33.29 inference(rewrite,[status(thm)],[])).
% 50.68/33.29 tff(20286,plain,
% 50.68/33.29 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | (m_memory_v_CMD(c_m, s1, c_read_h_owned) | m_memory_v_CMD(c_m, s1, c_read_h_shared) | (~node28(c_m, s1)))),
% 50.68/33.29 inference(quant_inst,[status(thm)],[])).
% 50.68/33.29 tff(20287,plain,
% 50.68/33.29 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | m_memory_v_CMD(c_m, s1, c_read_h_owned) | m_memory_v_CMD(c_m, s1, c_read_h_shared) | (~node28(c_m, s1))),
% 50.68/33.29 inference(modus_ponens,[status(thm)],[20286, 20285])).
% 50.68/33.29 tff(20288,plain,
% 50.68/33.29 (~node28(c_m, s1)),
% 50.68/33.29 inference(unit_resolution,[status(thm)],[20287, 4717, 5029, 20267])).
% 50.68/33.29 tff(20289,assumption,(m_memory_v_abort(c_m, s1)), introduced(assumption)).
% 50.68/33.29 tff(20290,assumption,(~m_memory_v_REPLY_h_STALL(c_m, s1)), introduced(assumption)).
% 50.68/33.29 tff(20291,assumption,(~node27(c_m, s1)), introduced(assumption)).
% 50.68/33.29 tff(20292,assumption,(~node28(c_m, s1)), introduced(assumption)).
% 50.68/33.29 tff(20293,plain,
% 50.68/33.29 (((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | ((~m_memory_v_abort(c_m, s1)) | m_memory_v_REPLY_h_STALL(c_m, s1) | node27(c_m, s1) | node28(c_m, s1))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | (~m_memory_v_abort(c_m, s1)) | m_memory_v_REPLY_h_STALL(c_m, s1) | node27(c_m, s1) | node28(c_m, s1))),
% 50.68/33.29 inference(rewrite,[status(thm)],[])).
% 50.68/33.29 tff(20294,plain,
% 50.68/33.29 ((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | ((~m_memory_v_abort(c_m, s1)) | m_memory_v_REPLY_h_STALL(c_m, s1) | node27(c_m, s1) | node28(c_m, s1))),
% 50.68/33.29 inference(quant_inst,[status(thm)],[])).
% 50.68/33.29 tff(20295,plain,
% 50.68/33.29 ((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | (~m_memory_v_abort(c_m, s1)) | m_memory_v_REPLY_h_STALL(c_m, s1) | node27(c_m, s1) | node28(c_m, s1)),
% 50.68/33.29 inference(modus_ponens,[status(thm)],[20294, 20293])).
% 50.68/33.29 tff(20296,plain,
% 50.68/33.29 ($false),
% 50.68/33.29 inference(unit_resolution,[status(thm)],[20295, 4643, 20292, 20291, 20290, 20289])).
% 50.68/33.29 tff(20297,plain,((~m_memory_v_abort(c_m, s1)) | node28(c_m, s1) | node27(c_m, s1) | m_memory_v_REPLY_h_STALL(c_m, s1)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.29 tff(20298,plain,
% 50.68/33.29 (~m_memory_v_abort(c_m, s1)),
% 50.68/33.29 inference(unit_resolution,[status(thm)],[20297, 20288, 20284, 20274])).
% 50.68/33.29 tff(20299,assumption,(~node47(c_p0, s1)), introduced(assumption)).
% 50.68/33.29 tff(20300,plain,
% 50.68/33.29 (m_processor_v_cmd(c_p1, s1, c_idle)),
% 50.68/33.29 inference(unit_resolution,[status(thm)],[3721, 3375, 3104, 3376, 3300])).
% 50.68/33.29 tff(20301,assumption,(m_memory_v_cmd(c_m, s1, c_idle)), introduced(assumption)).
% 50.68/33.29 tff(20302,plain,
% 50.68/33.29 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)))),
% 50.68/33.29 inference(rewrite,[status(thm)],[])).
% 50.68/33.29 tff(20303,plain,
% 50.68/33.29 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)))),
% 50.68/33.29 inference(quant_inst,[status(thm)],[])).
% 50.68/33.29 tff(20304,plain,
% 50.68/33.29 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned))),
% 50.68/33.29 inference(modus_ponens,[status(thm)],[20303, 20302])).
% 50.68/33.29 tff(20305,plain,
% 50.68/33.29 (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)),
% 50.68/33.29 inference(unit_resolution,[status(thm)],[20304, 3189, 3375])).
% 50.68/33.29 tff(20306,plain,
% 50.68/33.29 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned)))),
% 50.68/33.29 inference(rewrite,[status(thm)],[])).
% 50.68/33.29 tff(20307,plain,
% 50.68/33.29 (((~m_main_v_CMD(s1, c_read_h_owned)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned)) <=> ((~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned)))),
% 50.68/33.29 inference(rewrite,[status(thm)],[])).
% 50.68/33.29 tff(20308,plain,
% 50.68/33.29 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_read_h_owned)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned))))),
% 50.68/33.29 inference(monotonicity,[status(thm)],[20307])).
% 50.68/33.29 tff(20309,plain,
% 50.68/33.29 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_read_h_owned)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned)))),
% 50.68/33.29 inference(transitivity,[status(thm)],[20308, 20306])).
% 50.68/33.29 tff(20310,plain,
% 50.68/33.29 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_read_h_owned)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned))),
% 50.68/33.29 inference(quant_inst,[status(thm)],[])).
% 50.68/33.29 tff(20311,plain,
% 50.68/33.29 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned))),
% 50.68/33.29 inference(modus_ponens,[status(thm)],[20310, 20309])).
% 50.68/33.29 tff(20312,plain,
% 50.68/33.29 ((~node8(s1)) | (~m_main_v_CMD(s1, c_read_h_owned))),
% 50.68/33.29 inference(unit_resolution,[status(thm)],[20311, 2191, 20305])).
% 50.68/33.29 tff(20313,plain,
% 50.68/33.29 (~node8(s1)),
% 50.68/33.29 inference(unit_resolution,[status(thm)],[20312, 3724])).
% 50.68/33.29 tff(20314,plain,
% 50.68/33.29 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~node12(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~node12(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned)))),
% 50.68/33.29 inference(rewrite,[status(thm)],[])).
% 50.68/33.29 tff(20315,plain,
% 50.68/33.29 (((~m_main_v_CMD(s1, c_read_h_owned)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | (~node12(s1))) <=> ((~node12(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned)))),
% 50.68/33.29 inference(rewrite,[status(thm)],[])).
% 50.68/33.29 tff(20316,plain,
% 50.68/33.29 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s1, c_read_h_owned)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | (~node12(s1)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~node12(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned))))),
% 50.68/33.29 inference(monotonicity,[status(thm)],[20315])).
% 50.68/33.29 tff(20317,plain,
% 50.68/33.29 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s1, c_read_h_owned)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | (~node12(s1)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~node12(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned)))),
% 50.68/33.29 inference(transitivity,[status(thm)],[20316, 20314])).
% 50.68/33.29 tff(20318,plain,
% 50.68/33.29 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s1, c_read_h_owned)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | (~node12(s1)))),
% 50.68/33.29 inference(quant_inst,[status(thm)],[])).
% 50.68/33.29 tff(20319,plain,
% 50.68/33.29 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~node12(s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | (~m_main_v_CMD(s1, c_read_h_owned))),
% 50.68/33.29 inference(modus_ponens,[status(thm)],[20318, 20317])).
% 50.68/33.29 tff(20320,plain,
% 50.68/33.29 ((~node12(s1)) | (~m_main_v_CMD(s1, c_read_h_owned))),
% 50.68/33.29 inference(unit_resolution,[status(thm)],[20319, 3644, 20305])).
% 50.68/33.29 tff(20321,plain,
% 50.68/33.29 (~node12(s1)),
% 50.68/33.29 inference(unit_resolution,[status(thm)],[20320, 3724])).
% 50.68/33.29 tff(20322,plain,
% 50.68/33.29 (m_processor_v_cmd(c_p2, s1, c_idle)),
% 50.68/33.29 inference(unit_resolution,[status(thm)],[3695, 20321, 3375])).
% 50.68/33.29 tff(20323,plain,
% 50.68/33.29 ((~m_processor_v_cmd(c_p2, s1, c_idle)) | node8(s1)),
% 50.68/33.29 inference(unit_resolution,[status(thm)],[4853, 1593, 3182, 20301])).
% 50.68/33.29 tff(20324,plain,
% 50.68/33.29 ($false),
% 50.68/33.29 inference(unit_resolution,[status(thm)],[20323, 20322, 20313])).
% 50.68/33.29 tff(20325,plain,((~m_main_v_CMD(s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.68/33.29 tff(20326,plain,
% 50.68/33.29 (~m_main_v_CMD(s1, c_read_h_owned)),
% 50.68/33.29 inference(unit_resolution,[status(thm)],[20325, 3375, 3182, 20301])).
% 50.68/33.29 tff(20327,plain,
% 50.68/33.29 (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)),
% 50.68/33.29 inference(unit_resolution,[status(thm)],[8228, 20326])).
% 50.68/33.29 tff(20328,plain,
% 50.68/33.29 (~node48(c_p0, s1)),
% 50.68/33.29 inference(unit_resolution,[status(thm)],[20254, 20327])).
% 50.68/33.29 tff(20329,plain,
% 50.68/33.29 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_response)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_response)))),
% 50.68/33.29 inference(rewrite,[status(thm)],[])).
% 50.68/33.29 tff(20330,plain,
% 50.68/33.29 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_response)))),
% 50.68/33.29 inference(quant_inst,[status(thm)],[])).
% 50.68/33.29 tff(20331,plain,
% 50.68/33.29 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_response))),
% 50.68/33.29 inference(modus_ponens,[status(thm)],[20330, 20329])).
% 50.68/33.29 tff(20332,plain,
% 50.68/33.29 (~m_processor_v_cmd(c_p0, s1, c_response)),
% 50.68/33.29 inference(unit_resolution,[status(thm)],[20331, 19905, 3375])).
% 50.68/33.29 tff(20333,plain,
% 50.68/33.29 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared)))),
% 50.68/33.30 inference(rewrite,[status(thm)],[])).
% 50.68/33.30 tff(20334,plain,
% 50.68/33.30 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared)))),
% 50.68/33.30 inference(quant_inst,[status(thm)],[])).
% 50.68/33.30 tff(20335,plain,
% 50.68/33.30 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared))),
% 50.68/33.30 inference(modus_ponens,[status(thm)],[20334, 20333])).
% 50.68/33.30 tff(20336,plain,
% 50.68/33.30 (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared)),
% 50.68/33.30 inference(unit_resolution,[status(thm)],[20335, 4285, 3375])).
% 50.68/33.30 tff(20337,plain,
% 50.68/33.30 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid)))),
% 50.68/33.30 inference(rewrite,[status(thm)],[])).
% 50.68/33.30 tff(20338,plain,
% 50.68/33.30 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid)))),
% 50.68/33.30 inference(quant_inst,[status(thm)],[])).
% 50.68/33.30 tff(20339,plain,
% 50.68/33.30 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid))),
% 50.68/33.30 inference(modus_ponens,[status(thm)],[20338, 20337])).
% 50.68/33.30 tff(20340,plain,
% 50.68/33.30 (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid)),
% 50.68/33.30 inference(unit_resolution,[status(thm)],[20339, 4296, 3375])).
% 50.68/33.30 tff(20341,assumption,(node52(c_p0, s1, s2)), introduced(assumption)).
% 50.68/33.30 tff(20342,plain,
% 50.68/33.30 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s1)) | m_processor_v_waiting(c_p0, s2) | (~node52(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s1)) | m_processor_v_waiting(c_p0, s2) | (~node52(c_p0, s1, s2)))),
% 50.68/33.30 inference(rewrite,[status(thm)],[])).
% 50.68/33.30 tff(20343,plain,
% 50.68/33.30 ((m_processor_v_waiting(c_p0, s2) | (~m_processor_v_waiting(c_p0, s1)) | (~node52(c_p0, s1, s2))) <=> ((~m_processor_v_waiting(c_p0, s1)) | m_processor_v_waiting(c_p0, s2) | (~node52(c_p0, s1, s2)))),
% 50.68/33.30 inference(rewrite,[status(thm)],[])).
% 50.68/33.30 tff(20344,plain,
% 50.68/33.30 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s2) | (~m_processor_v_waiting(c_p0, s1)) | (~node52(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s1)) | m_processor_v_waiting(c_p0, s2) | (~node52(c_p0, s1, s2))))),
% 50.68/33.30 inference(monotonicity,[status(thm)],[20343])).
% 50.68/33.30 tff(20345,plain,
% 50.68/33.30 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s2) | (~m_processor_v_waiting(c_p0, s1)) | (~node52(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s1)) | m_processor_v_waiting(c_p0, s2) | (~node52(c_p0, s1, s2)))),
% 50.68/33.30 inference(transitivity,[status(thm)],[20344, 20342])).
% 50.68/33.30 tff(20346,plain,
% 50.68/33.30 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s2) | (~m_processor_v_waiting(c_p0, s1)) | (~node52(c_p0, s1, s2)))),
% 50.68/33.30 inference(quant_inst,[status(thm)],[])).
% 50.68/33.30 tff(20347,plain,
% 50.68/33.30 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s1)) | m_processor_v_waiting(c_p0, s2) | (~node52(c_p0, s1, s2))),
% 50.68/33.30 inference(modus_ponens,[status(thm)],[20346, 20345])).
% 50.68/33.30 tff(20348,plain,
% 50.68/33.30 ($false),
% 50.68/33.30 inference(unit_resolution,[status(thm)],[20347, 10820, 3109, 20341, 20207])).
% 50.68/33.30 tff(20349,plain,((~node52(c_p0, s1, s2)) | (~m_processor_v_waiting(c_p0, s1)) | m_processor_v_waiting(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.30 tff(20350,plain,
% 50.68/33.30 (~node52(c_p0, s1, s2)),
% 50.68/33.30 inference(unit_resolution,[status(thm)],[20349, 20207, 3109])).
% 50.68/33.30 tff(20351,plain,
% 50.68/33.30 (~node46(c_p0, s1, s2)),
% 50.68/33.30 inference(unit_resolution,[status(thm)],[20231, 20207, 3109])).
% 50.68/33.30 tff(20352,plain,
% 50.68/33.30 (~m_processor_v_abort(c_p0, s1)),
% 50.68/33.30 inference(unit_resolution,[status(thm)],[20221, 20351])).
% 50.68/33.30 tff(20353,assumption,(~node48(c_p0, s1)), introduced(assumption)).
% 50.68/33.30 tff(20354,assumption,(node12(s1)), introduced(assumption)).
% 50.68/33.30 tff(20355,assumption,(~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid)), introduced(assumption)).
% 50.68/33.30 tff(20356,plain,
% 50.68/33.30 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid) | (~node12(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid) | (~node12(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)))),
% 50.68/33.30 inference(rewrite,[status(thm)],[])).
% 50.68/33.30 tff(20357,plain,
% 50.68/33.30 (((~m_main_v_CMD(s1, c_write_h_resp_h_invalid)) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid) | (~node12(s1))) <=> (m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid) | (~node12(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)))),
% 50.68/33.30 inference(rewrite,[status(thm)],[])).
% 50.68/33.30 tff(20358,plain,
% 50.68/33.30 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_invalid)) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid) | (~node12(s1)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid) | (~node12(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid))))),
% 50.68/33.30 inference(monotonicity,[status(thm)],[20357])).
% 50.68/33.30 tff(20359,plain,
% 50.68/33.30 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_invalid)) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid) | (~node12(s1)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid) | (~node12(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)))),
% 50.68/33.30 inference(transitivity,[status(thm)],[20358, 20356])).
% 50.68/33.30 tff(20360,plain,
% 50.68/33.30 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_invalid)) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid) | (~node12(s1)))),
% 50.68/33.30 inference(quant_inst,[status(thm)],[])).
% 50.68/33.30 tff(20361,plain,
% 50.68/33.30 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid) | (~node12(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid))),
% 50.68/33.30 inference(modus_ponens,[status(thm)],[20360, 20359])).
% 50.68/33.30 tff(20362,plain,
% 50.68/33.30 ((~node12(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid))),
% 50.68/33.30 inference(unit_resolution,[status(thm)],[20361, 3644, 20355])).
% 50.68/33.30 tff(20363,plain,
% 50.68/33.30 (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)),
% 50.68/33.30 inference(unit_resolution,[status(thm)],[20362, 20354])).
% 50.68/33.30 tff(20364,assumption,(~m_main_v_CMD(s1, c_write_h_resp_h_invalid)), introduced(assumption)).
% 50.68/33.30 tff(20365,assumption,(m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)), introduced(assumption)).
% 50.68/33.30 tff(20366,plain,
% 50.68/33.30 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s1, c_write_h_resp_h_invalid) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)))),
% 50.68/33.30 inference(rewrite,[status(thm)],[])).
% 50.68/33.30 tff(20367,plain,
% 50.68/33.30 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s1, c_write_h_resp_h_invalid) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)))),
% 50.68/33.30 inference(quant_inst,[status(thm)],[])).
% 50.68/33.30 tff(20368,plain,
% 50.68/33.30 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid))),
% 50.68/33.30 inference(modus_ponens,[status(thm)],[20367, 20366])).
% 50.68/33.30 tff(20369,plain,
% 50.68/33.30 ($false),
% 50.68/33.30 inference(unit_resolution,[status(thm)],[20368, 1612, 4907, 20365, 20364])).
% 50.68/33.30 tff(20370,plain,((~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)) | m_main_v_CMD(s1, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.30 tff(20371,plain,
% 50.68/33.30 (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)),
% 50.68/33.30 inference(unit_resolution,[status(thm)],[20370, 20363])).
% 50.68/33.30 tff(20372,assumption,(node50(c_p0, s1)), introduced(assumption)).
% 50.68/33.30 tff(20373,plain,
% 50.68/33.30 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | (~node50(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | (~node50(c_p0, s1)))),
% 50.68/33.30 inference(rewrite,[status(thm)],[])).
% 50.68/33.30 tff(20374,plain,
% 50.68/33.30 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | (~node50(c_p0, s1)))),
% 50.68/33.30 inference(quant_inst,[status(thm)],[])).
% 50.68/33.30 tff(20375,plain,
% 50.68/33.30 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid) | (~node50(c_p0, s1))),
% 50.68/33.30 inference(modus_ponens,[status(thm)],[20374, 20373])).
% 50.68/33.30 tff(20376,plain,
% 50.68/33.30 ($false),
% 50.68/33.30 inference(unit_resolution,[status(thm)],[20375, 11598, 11105, 20372])).
% 50.68/33.30 tff(20377,plain,((~node50(c_p0, s1)) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.30 tff(20378,plain,
% 50.68/33.30 (~node50(c_p0, s1)),
% 50.68/33.30 inference(unit_resolution,[status(thm)],[20377, 20371])).
% 50.68/33.30 tff(20379,assumption,(~node52(c_p0, s1, s2)), introduced(assumption)).
% 50.68/33.30 tff(20380,assumption,(~m_processor_v_cmd(c_p0, s1, c_response)), introduced(assumption)).
% 50.68/33.30 tff(20381,plain,
% 50.68/33.30 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~node12(s1)) | m_processor_v_cmd(c_p0, s1, c_response) | (~m_main_v_CMD(s1, c_response)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~node12(s1)) | m_processor_v_cmd(c_p0, s1, c_response) | (~m_main_v_CMD(s1, c_response)))),
% 50.68/33.30 inference(rewrite,[status(thm)],[])).
% 50.68/33.30 tff(20382,plain,
% 50.68/33.30 (((~m_main_v_CMD(s1, c_response)) | m_processor_v_cmd(c_p0, s1, c_response) | (~node12(s1))) <=> ((~node12(s1)) | m_processor_v_cmd(c_p0, s1, c_response) | (~m_main_v_CMD(s1, c_response)))),
% 50.68/33.30 inference(rewrite,[status(thm)],[])).
% 50.68/33.30 tff(20383,plain,
% 50.68/33.30 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s1, c_response)) | m_processor_v_cmd(c_p0, s1, c_response) | (~node12(s1)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~node12(s1)) | m_processor_v_cmd(c_p0, s1, c_response) | (~m_main_v_CMD(s1, c_response))))),
% 50.68/33.30 inference(monotonicity,[status(thm)],[20382])).
% 50.68/33.30 tff(20384,plain,
% 50.68/33.30 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s1, c_response)) | m_processor_v_cmd(c_p0, s1, c_response) | (~node12(s1)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~node12(s1)) | m_processor_v_cmd(c_p0, s1, c_response) | (~m_main_v_CMD(s1, c_response)))),
% 50.68/33.30 inference(transitivity,[status(thm)],[20383, 20381])).
% 50.68/33.30 tff(20385,plain,
% 50.68/33.30 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s1, c_response)) | m_processor_v_cmd(c_p0, s1, c_response) | (~node12(s1)))),
% 50.68/33.30 inference(quant_inst,[status(thm)],[])).
% 50.68/33.30 tff(20386,plain,
% 50.68/33.30 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~node12(s1)) | m_processor_v_cmd(c_p0, s1, c_response) | (~m_main_v_CMD(s1, c_response))),
% 50.68/33.30 inference(modus_ponens,[status(thm)],[20385, 20384])).
% 50.68/33.30 tff(20387,plain,
% 50.68/33.30 ((~node12(s1)) | (~m_main_v_CMD(s1, c_response))),
% 50.68/33.30 inference(unit_resolution,[status(thm)],[20386, 3644, 20380])).
% 50.68/33.30 tff(20388,plain,
% 50.68/33.30 (~m_main_v_CMD(s1, c_response)),
% 50.68/33.30 inference(unit_resolution,[status(thm)],[20387, 20354])).
% 50.68/33.30 tff(20389,plain,
% 50.68/33.30 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s1, c_response) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s1, c_response) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_response)))),
% 50.68/33.30 inference(rewrite,[status(thm)],[])).
% 50.68/33.30 tff(20390,plain,
% 50.68/33.30 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s1, c_response) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_response)))),
% 50.68/33.30 inference(quant_inst,[status(thm)],[])).
% 50.68/33.30 tff(20391,plain,
% 50.68/33.30 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s1, c_response) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_response))),
% 50.68/33.30 inference(modus_ponens,[status(thm)],[20390, 20389])).
% 50.68/33.30 tff(20392,plain,
% 50.68/33.30 (~m_processor_v_CMD(c_p0, s1, c_response)),
% 50.68/33.30 inference(unit_resolution,[status(thm)],[20391, 1612, 4907, 20388])).
% 50.68/33.30 tff(20393,plain,
% 50.68/33.30 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | ((~node49(c_p0, s1)) | m_processor_v_CMD(c_p0, s1, c_response))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p0, s1)) | m_processor_v_CMD(c_p0, s1, c_response))),
% 50.68/33.30 inference(rewrite,[status(thm)],[])).
% 50.68/33.30 tff(20394,plain,
% 50.68/33.30 ((m_processor_v_CMD(c_p0, s1, c_response) | (~node49(c_p0, s1))) <=> ((~node49(c_p0, s1)) | m_processor_v_CMD(c_p0, s1, c_response))),
% 50.68/33.30 inference(rewrite,[status(thm)],[])).
% 50.68/33.30 tff(20395,plain,
% 50.68/33.30 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p0, s1, c_response) | (~node49(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | ((~node49(c_p0, s1)) | m_processor_v_CMD(c_p0, s1, c_response)))),
% 50.68/33.30 inference(monotonicity,[status(thm)],[20394])).
% 50.68/33.30 tff(20396,plain,
% 50.68/33.30 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p0, s1, c_response) | (~node49(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p0, s1)) | m_processor_v_CMD(c_p0, s1, c_response))),
% 50.68/33.30 inference(transitivity,[status(thm)],[20395, 20393])).
% 50.68/33.30 tff(20397,plain,
% 50.68/33.30 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p0, s1, c_response) | (~node49(c_p0, s1)))),
% 50.68/33.30 inference(quant_inst,[status(thm)],[])).
% 50.68/33.30 tff(20398,plain,
% 50.68/33.30 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p0, s1)) | m_processor_v_CMD(c_p0, s1, c_response)),
% 50.68/33.30 inference(modus_ponens,[status(thm)],[20397, 20396])).
% 50.68/33.30 tff(20399,plain,
% 50.68/33.30 (~node49(c_p0, s1)),
% 50.68/33.30 inference(unit_resolution,[status(thm)],[20398, 11579, 20392])).
% 50.68/33.30 tff(20400,assumption,(~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.68/33.30 tff(20401,plain,
% 50.68/33.30 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~node12(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~node12(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared)))),
% 50.68/33.30 inference(rewrite,[status(thm)],[])).
% 50.68/33.30 tff(20402,plain,
% 50.68/33.30 (((~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~node12(s1))) <=> (m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~node12(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared)))),
% 50.68/33.30 inference(rewrite,[status(thm)],[])).
% 50.68/33.30 tff(20403,plain,
% 50.68/33.30 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~node12(s1)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~node12(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared))))),
% 50.68/33.30 inference(monotonicity,[status(thm)],[20402])).
% 50.68/33.30 tff(20404,plain,
% 50.68/33.30 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~node12(s1)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~node12(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared)))),
% 50.68/33.30 inference(transitivity,[status(thm)],[20403, 20401])).
% 50.68/33.30 tff(20405,plain,
% 50.68/33.30 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~node12(s1)))),
% 50.68/33.30 inference(quant_inst,[status(thm)],[])).
% 50.68/33.30 tff(20406,plain,
% 50.68/33.30 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~node12(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared))),
% 50.68/33.30 inference(modus_ponens,[status(thm)],[20405, 20404])).
% 50.68/33.30 tff(20407,plain,
% 50.68/33.30 ((~node12(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared))),
% 50.68/33.30 inference(unit_resolution,[status(thm)],[20406, 3644, 20400])).
% 50.68/33.30 tff(20408,plain,
% 50.68/33.30 (~m_main_v_CMD(s1, c_write_h_resp_h_shared)),
% 50.68/33.30 inference(unit_resolution,[status(thm)],[20407, 20354])).
% 50.68/33.30 tff(20409,plain,
% 50.68/33.30 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s1, c_write_h_resp_h_shared) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s1, c_write_h_resp_h_shared) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)))),
% 50.68/33.30 inference(rewrite,[status(thm)],[])).
% 50.68/33.30 tff(20410,plain,
% 50.68/33.30 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s1, c_write_h_resp_h_shared) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)))),
% 50.68/33.30 inference(quant_inst,[status(thm)],[])).
% 50.68/33.30 tff(20411,plain,
% 50.68/33.30 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s1, c_write_h_resp_h_shared) | (~node2(s1)) | (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared))),
% 50.68/33.30 inference(modus_ponens,[status(thm)],[20410, 20409])).
% 50.68/33.30 tff(20412,plain,
% 50.68/33.30 (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)),
% 50.68/33.30 inference(unit_resolution,[status(thm)],[20411, 1612, 4907, 20408])).
% 50.68/33.30 tff(20413,plain,
% 50.68/33.30 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared) | (~node51(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared) | (~node51(c_p0, s1)))),
% 50.68/33.30 inference(rewrite,[status(thm)],[])).
% 50.68/33.30 tff(20414,plain,
% 50.68/33.30 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared) | (~node51(c_p0, s1)))),
% 50.68/33.30 inference(quant_inst,[status(thm)],[])).
% 50.68/33.30 tff(20415,plain,
% 50.68/33.30 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared) | (~node51(c_p0, s1))),
% 50.68/33.30 inference(modus_ponens,[status(thm)],[20414, 20413])).
% 50.68/33.30 tff(20416,plain,
% 50.68/33.30 (~node51(c_p0, s1)),
% 50.68/33.30 inference(unit_resolution,[status(thm)],[20415, 11549, 20412])).
% 50.68/33.30 tff(20417,plain,
% 50.68/33.30 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s1) | node49(c_p0, s1) | node48(c_p0, s1) | node47(c_p0, s1) | node50(c_p0, s1) | node51(c_p0, s1) | node52(c_p0, s1, s2) | (~node53(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p0, s1) | node49(c_p0, s1) | node48(c_p0, s1) | node47(c_p0, s1) | node50(c_p0, s1) | node51(c_p0, s1) | node52(c_p0, s1, s2) | (~node53(c_p0, s1, s2)))),
% 50.68/33.30 inference(rewrite,[status(thm)],[])).
% 50.68/33.30 tff(20418,plain,
% 50.68/33.30 ((m_processor_v_abort(c_p0, s1) | node47(c_p0, s1) | node48(c_p0, s1) | node49(c_p0, s1) | node50(c_p0, s1) | node51(c_p0, s1) | node52(c_p0, s1, s2) | (~node53(c_p0, s1, s2))) <=> (m_processor_v_abort(c_p0, s1) | node49(c_p0, s1) | node48(c_p0, s1) | node47(c_p0, s1) | node50(c_p0, s1) | node51(c_p0, s1) | node52(c_p0, s1, s2) | (~node53(c_p0, s1, s2)))),
% 50.68/33.30 inference(rewrite,[status(thm)],[])).
% 50.68/33.30 tff(20419,plain,
% 50.68/33.30 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s1) | node47(c_p0, s1) | node48(c_p0, s1) | node49(c_p0, s1) | node50(c_p0, s1) | node51(c_p0, s1) | node52(c_p0, s1, s2) | (~node53(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s1) | node49(c_p0, s1) | node48(c_p0, s1) | node47(c_p0, s1) | node50(c_p0, s1) | node51(c_p0, s1) | node52(c_p0, s1, s2) | (~node53(c_p0, s1, s2))))),
% 50.68/33.30 inference(monotonicity,[status(thm)],[20418])).
% 50.68/33.30 tff(20420,plain,
% 50.68/33.30 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s1) | node47(c_p0, s1) | node48(c_p0, s1) | node49(c_p0, s1) | node50(c_p0, s1) | node51(c_p0, s1) | node52(c_p0, s1, s2) | (~node53(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p0, s1) | node49(c_p0, s1) | node48(c_p0, s1) | node47(c_p0, s1) | node50(c_p0, s1) | node51(c_p0, s1) | node52(c_p0, s1, s2) | (~node53(c_p0, s1, s2)))),
% 50.68/33.30 inference(transitivity,[status(thm)],[20419, 20417])).
% 50.68/33.30 tff(20421,plain,
% 50.68/33.30 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s1) | node47(c_p0, s1) | node48(c_p0, s1) | node49(c_p0, s1) | node50(c_p0, s1) | node51(c_p0, s1) | node52(c_p0, s1, s2) | (~node53(c_p0, s1, s2)))),
% 50.68/33.30 inference(quant_inst,[status(thm)],[])).
% 50.68/33.30 tff(20422,plain,
% 50.68/33.30 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p0, s1) | node49(c_p0, s1) | node48(c_p0, s1) | node47(c_p0, s1) | node50(c_p0, s1) | node51(c_p0, s1) | node52(c_p0, s1, s2) | (~node53(c_p0, s1, s2))),
% 50.68/33.30 inference(modus_ponens,[status(thm)],[20421, 20420])).
% 50.68/33.30 tff(20423,plain,
% 50.68/33.30 (m_processor_v_abort(c_p0, s1) | node49(c_p0, s1) | node48(c_p0, s1) | node47(c_p0, s1) | node50(c_p0, s1) | node51(c_p0, s1) | node52(c_p0, s1, s2)),
% 50.68/33.30 inference(unit_resolution,[status(thm)],[20422, 11612, 20217])).
% 50.68/33.30 tff(20424,plain,
% 50.68/33.30 ($false),
% 50.68/33.30 inference(unit_resolution,[status(thm)],[20423, 20416, 20399, 3874, 20299, 20379, 20378, 20353])).
% 50.68/33.30 tff(20425,plain,((~node12(s1)) | m_processor_v_abort(c_p0, s1) | node47(c_p0, s1) | node52(c_p0, s1, s2) | node48(c_p0, s1) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | m_processor_v_cmd(c_p0, s1, c_response)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.30 tff(20426,plain,
% 50.68/33.30 (~node12(s1)),
% 50.68/33.30 inference(unit_resolution,[status(thm)],[20425, 20352, 20299, 20350, 20328, 20340, 20336, 20332])).
% 50.68/33.30 tff(20427,plain,
% 50.68/33.30 (m_processor_v_cmd(c_p2, s1, c_idle)),
% 50.68/33.30 inference(unit_resolution,[status(thm)],[3695, 20426, 3375])).
% 50.68/33.30 tff(20428,plain,
% 50.68/33.30 (node8(s1)),
% 50.68/33.30 inference(unit_resolution,[status(thm)],[20323, 20427])).
% 50.68/33.30 tff(20429,plain,
% 50.68/33.30 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid) | (~node8(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid) | (~node8(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)))),
% 50.68/33.30 inference(rewrite,[status(thm)],[])).
% 50.68/33.30 tff(20430,plain,
% 50.68/33.30 (((~m_main_v_CMD(s1, c_write_h_resp_h_invalid)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid)) <=> (m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid) | (~node8(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)))),
% 50.68/33.30 inference(rewrite,[status(thm)],[])).
% 50.68/33.30 tff(20431,plain,
% 50.68/33.30 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_invalid)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid) | (~node8(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid))))),
% 50.68/33.30 inference(monotonicity,[status(thm)],[20430])).
% 50.68/33.30 tff(20432,plain,
% 50.68/33.30 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_invalid)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid) | (~node8(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)))),
% 50.68/33.30 inference(transitivity,[status(thm)],[20431, 20429])).
% 50.68/33.30 tff(20433,plain,
% 50.68/33.30 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_invalid)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid))),
% 50.68/33.31 inference(quant_inst,[status(thm)],[])).
% 50.68/33.31 tff(20434,plain,
% 50.68/33.31 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid) | (~node8(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid))),
% 50.68/33.31 inference(modus_ponens,[status(thm)],[20433, 20432])).
% 50.68/33.31 tff(20435,plain,
% 50.68/33.31 ((~node8(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid))),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20434, 2191, 20340])).
% 50.68/33.31 tff(20436,plain,
% 50.68/33.31 (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20435, 20428])).
% 50.68/33.31 tff(20437,plain,
% 50.68/33.31 (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_invalid)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20370, 20436])).
% 50.68/33.31 tff(20438,plain,
% 50.68/33.31 (~node50(c_p0, s1)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20377, 20437])).
% 50.68/33.31 tff(20439,plain,
% 50.68/33.31 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_response) | (~m_main_v_CMD(s1, c_response)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_response) | (~m_main_v_CMD(s1, c_response)))),
% 50.68/33.31 inference(rewrite,[status(thm)],[])).
% 50.68/33.31 tff(20440,plain,
% 50.68/33.31 (((~m_main_v_CMD(s1, c_response)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_response)) <=> ((~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_response) | (~m_main_v_CMD(s1, c_response)))),
% 50.68/33.31 inference(rewrite,[status(thm)],[])).
% 50.68/33.31 tff(20441,plain,
% 50.68/33.31 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_response)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_response))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_response) | (~m_main_v_CMD(s1, c_response))))),
% 50.68/33.31 inference(monotonicity,[status(thm)],[20440])).
% 50.68/33.31 tff(20442,plain,
% 50.68/33.31 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_response)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_response))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_response) | (~m_main_v_CMD(s1, c_response)))),
% 50.68/33.31 inference(transitivity,[status(thm)],[20441, 20439])).
% 50.68/33.31 tff(20443,plain,
% 50.68/33.31 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_response)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_response))),
% 50.68/33.31 inference(quant_inst,[status(thm)],[])).
% 50.68/33.31 tff(20444,plain,
% 50.68/33.31 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_response) | (~m_main_v_CMD(s1, c_response))),
% 50.68/33.31 inference(modus_ponens,[status(thm)],[20443, 20442])).
% 50.68/33.31 tff(20445,plain,
% 50.68/33.31 ((~node8(s1)) | (~m_main_v_CMD(s1, c_response))),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20444, 2191, 20332])).
% 50.68/33.31 tff(20446,plain,
% 50.68/33.31 (~m_main_v_CMD(s1, c_response)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20445, 20428])).
% 50.68/33.31 tff(20447,plain,
% 50.68/33.31 (~m_processor_v_CMD(c_p0, s1, c_response)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20391, 1612, 4907, 20446])).
% 50.68/33.31 tff(20448,plain,
% 50.68/33.31 (~node49(c_p0, s1)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20398, 11579, 20447])).
% 50.68/33.31 tff(20449,plain,
% 50.68/33.31 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~node8(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~node8(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared)))),
% 50.68/33.31 inference(rewrite,[status(thm)],[])).
% 50.68/33.31 tff(20450,plain,
% 50.68/33.31 (((~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared)) <=> (m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~node8(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared)))),
% 50.68/33.31 inference(rewrite,[status(thm)],[])).
% 50.68/33.31 tff(20451,plain,
% 50.68/33.31 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~node8(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared))))),
% 50.68/33.31 inference(monotonicity,[status(thm)],[20450])).
% 50.68/33.31 tff(20452,plain,
% 50.68/33.31 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~node8(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared)))),
% 50.68/33.31 inference(transitivity,[status(thm)],[20451, 20449])).
% 50.68/33.31 tff(20453,plain,
% 50.68/33.31 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_write_h_resp_h_shared)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared))),
% 50.68/33.31 inference(quant_inst,[status(thm)],[])).
% 50.68/33.31 tff(20454,plain,
% 50.68/33.31 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared) | (~node8(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared))),
% 50.68/33.31 inference(modus_ponens,[status(thm)],[20453, 20452])).
% 50.68/33.31 tff(20455,plain,
% 50.68/33.31 ((~node8(s1)) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared))),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20454, 2191, 20336])).
% 50.68/33.31 tff(20456,plain,
% 50.68/33.31 (~m_main_v_CMD(s1, c_write_h_resp_h_shared)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20455, 20428])).
% 50.68/33.31 tff(20457,plain,
% 50.68/33.31 (~m_processor_v_CMD(c_p0, s1, c_write_h_resp_h_shared)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20411, 1612, 4907, 20456])).
% 50.68/33.31 tff(20458,plain,
% 50.68/33.31 (~node51(c_p0, s1)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20415, 11549, 20457])).
% 50.68/33.31 tff(20459,plain,
% 50.68/33.31 ($false),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20423, 20458, 20448, 20352, 20299, 20350, 20438, 20328])).
% 50.68/33.31 tff(20460,plain,(m_processor_v_waiting(c_p0, s2) | node47(c_p0, s1) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_waiting(c_p0, s1))), inference(lemma,lemma(discharge,[]))).
% 50.68/33.31 tff(20461,plain,
% 50.68/33.31 (~m_memory_v_cmd(c_m, s1, c_idle)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20460, 20300, 20207, 3109, 3375, 20299])).
% 50.68/33.31 tff(20462,plain,
% 50.68/33.31 (~node13(s1)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[8308, 1986, 20461])).
% 50.68/33.31 tff(20463,plain,
% 50.68/33.31 (~node9(s1)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[8304, 2000, 20461])).
% 50.68/33.31 tff(20464,assumption,(~m_memory_v_abort(c_m, s1)), introduced(assumption)).
% 50.68/33.31 tff(20465,plain,
% 50.68/33.31 (node29(c_m, s1)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[3373, 20461])).
% 50.68/33.31 tff(20466,plain,
% 50.68/33.31 (m_memory_v_master(c_m, s1)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[3365, 20465])).
% 50.68/33.31 tff(20467,plain,
% 50.68/33.31 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | ((~trans(s1, s2)) | node23(c_m, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | (~trans(s1, s2)) | node23(c_m, s1, s2))),
% 50.68/33.31 inference(rewrite,[status(thm)],[])).
% 50.68/33.31 tff(20468,plain,
% 50.68/33.31 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | ((~trans(s1, s2)) | node23(c_m, s1, s2))),
% 50.68/33.31 inference(quant_inst,[status(thm)],[])).
% 50.68/33.31 tff(20469,plain,
% 50.68/33.31 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | (~trans(s1, s2)) | node23(c_m, s1, s2)),
% 50.68/33.31 inference(modus_ponens,[status(thm)],[20468, 20467])).
% 50.68/33.31 tff(20470,plain,
% 50.68/33.31 (node23(c_m, s1, s2)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20469, 4490, 3136])).
% 50.68/33.31 tff(20471,plain,
% 50.68/33.31 (((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~m_memory_v_master(c_m, s1)) | (~m_memory_v_CMD(c_m, s1, c_response)) | m_memory_v_abort(c_m, s1) | (~m_memory_v_busy(c_m, s2)) | (~node23(c_m, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | (~m_memory_v_master(c_m, s1)) | (~m_memory_v_CMD(c_m, s1, c_response)) | m_memory_v_abort(c_m, s1) | (~m_memory_v_busy(c_m, s2)) | (~node23(c_m, s1, s2)))),
% 50.68/33.31 inference(rewrite,[status(thm)],[])).
% 50.68/33.31 tff(20472,plain,
% 50.68/33.31 (((~m_memory_v_busy(c_m, s2)) | (~m_memory_v_master(c_m, s1)) | (~node23(c_m, s1, s2)) | m_memory_v_abort(c_m, s1) | (~m_memory_v_CMD(c_m, s1, c_response))) <=> ((~m_memory_v_master(c_m, s1)) | (~m_memory_v_CMD(c_m, s1, c_response)) | m_memory_v_abort(c_m, s1) | (~m_memory_v_busy(c_m, s2)) | (~node23(c_m, s1, s2)))),
% 50.68/33.31 inference(rewrite,[status(thm)],[])).
% 50.68/33.31 tff(20473,plain,
% 50.68/33.31 (((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~m_memory_v_busy(c_m, s2)) | (~m_memory_v_master(c_m, s1)) | (~node23(c_m, s1, s2)) | m_memory_v_abort(c_m, s1) | (~m_memory_v_CMD(c_m, s1, c_response)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~m_memory_v_master(c_m, s1)) | (~m_memory_v_CMD(c_m, s1, c_response)) | m_memory_v_abort(c_m, s1) | (~m_memory_v_busy(c_m, s2)) | (~node23(c_m, s1, s2))))),
% 50.68/33.31 inference(monotonicity,[status(thm)],[20472])).
% 50.68/33.31 tff(20474,plain,
% 50.68/33.31 (((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~m_memory_v_busy(c_m, s2)) | (~m_memory_v_master(c_m, s1)) | (~node23(c_m, s1, s2)) | m_memory_v_abort(c_m, s1) | (~m_memory_v_CMD(c_m, s1, c_response)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | (~m_memory_v_master(c_m, s1)) | (~m_memory_v_CMD(c_m, s1, c_response)) | m_memory_v_abort(c_m, s1) | (~m_memory_v_busy(c_m, s2)) | (~node23(c_m, s1, s2)))),
% 50.68/33.31 inference(transitivity,[status(thm)],[20473, 20471])).
% 50.68/33.31 tff(20475,plain,
% 50.68/33.31 ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~m_memory_v_busy(c_m, s2)) | (~m_memory_v_master(c_m, s1)) | (~node23(c_m, s1, s2)) | m_memory_v_abort(c_m, s1) | (~m_memory_v_CMD(c_m, s1, c_response)))),
% 50.68/33.31 inference(quant_inst,[status(thm)],[])).
% 50.68/33.31 tff(20476,plain,
% 50.68/33.31 ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | (~m_memory_v_master(c_m, s1)) | (~m_memory_v_CMD(c_m, s1, c_response)) | m_memory_v_abort(c_m, s1) | (~m_memory_v_busy(c_m, s2)) | (~node23(c_m, s1, s2))),
% 50.68/33.31 inference(modus_ponens,[status(thm)],[20475, 20474])).
% 50.68/33.31 tff(20477,plain,
% 50.68/33.31 ((~m_memory_v_master(c_m, s1)) | (~m_memory_v_CMD(c_m, s1, c_response)) | m_memory_v_abort(c_m, s1) | (~m_memory_v_busy(c_m, s2))),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20476, 10436, 20470])).
% 50.68/33.31 tff(20478,plain,
% 50.68/33.31 (~m_memory_v_CMD(c_m, s1, c_response)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20477, 20466, 9926, 20464])).
% 50.68/33.31 tff(20479,plain,
% 50.68/33.31 (((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s1)) | (~m_main_v_CMD(s1, c_response)) | m_memory_v_CMD(c_m, s1, c_response))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s1)) | (~m_main_v_CMD(s1, c_response)) | m_memory_v_CMD(c_m, s1, c_response))),
% 50.68/33.31 inference(rewrite,[status(thm)],[])).
% 50.68/33.31 tff(20480,plain,
% 50.68/33.31 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s1)) | (~m_main_v_CMD(s1, c_response)) | m_memory_v_CMD(c_m, s1, c_response))),
% 50.68/33.31 inference(quant_inst,[status(thm)],[])).
% 50.68/33.31 tff(20481,plain,
% 50.68/33.31 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s1)) | (~m_main_v_CMD(s1, c_response)) | m_memory_v_CMD(c_m, s1, c_response)),
% 50.68/33.31 inference(modus_ponens,[status(thm)],[20480, 20479])).
% 50.68/33.31 tff(20482,plain,
% 50.68/33.31 (~m_main_v_CMD(s1, c_response)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20481, 4207, 4961, 20478])).
% 50.68/33.31 tff(20483,plain,
% 50.68/33.31 (m_main_v_CMD(s1, c_idle)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[8356, 20482, 3375, 20300])).
% 50.68/33.31 tff(20484,plain,
% 50.68/33.31 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V))) | (m_memory_v_cmd(c_m, s1, c_idle) | (~m_main_v_CMD(s1, c_idle)) | (~node14(s1)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V))) | m_memory_v_cmd(c_m, s1, c_idle) | (~m_main_v_CMD(s1, c_idle)) | (~node14(s1)))),
% 50.68/33.31 inference(rewrite,[status(thm)],[])).
% 50.68/33.31 tff(20485,plain,
% 50.68/33.31 (((~m_main_v_CMD(s1, c_idle)) | (~node14(s1)) | m_memory_v_cmd(c_m, s1, c_idle)) <=> (m_memory_v_cmd(c_m, s1, c_idle) | (~m_main_v_CMD(s1, c_idle)) | (~node14(s1)))),
% 50.68/33.31 inference(rewrite,[status(thm)],[])).
% 50.68/33.31 tff(20486,plain,
% 50.68/33.31 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V))) | ((~m_main_v_CMD(s1, c_idle)) | (~node14(s1)) | m_memory_v_cmd(c_m, s1, c_idle))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V))) | (m_memory_v_cmd(c_m, s1, c_idle) | (~m_main_v_CMD(s1, c_idle)) | (~node14(s1))))),
% 50.68/33.31 inference(monotonicity,[status(thm)],[20485])).
% 50.68/33.31 tff(20487,plain,
% 50.68/33.31 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V))) | ((~m_main_v_CMD(s1, c_idle)) | (~node14(s1)) | m_memory_v_cmd(c_m, s1, c_idle))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V))) | m_memory_v_cmd(c_m, s1, c_idle) | (~m_main_v_CMD(s1, c_idle)) | (~node14(s1)))),
% 50.68/33.31 inference(transitivity,[status(thm)],[20486, 20484])).
% 50.68/33.31 tff(20488,plain,
% 50.68/33.31 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V))) | ((~m_main_v_CMD(s1, c_idle)) | (~node14(s1)) | m_memory_v_cmd(c_m, s1, c_idle))),
% 50.68/33.31 inference(quant_inst,[status(thm)],[])).
% 50.68/33.31 tff(20489,plain,
% 50.68/33.31 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V))) | m_memory_v_cmd(c_m, s1, c_idle) | (~m_main_v_CMD(s1, c_idle)) | (~node14(s1))),
% 50.68/33.31 inference(modus_ponens,[status(thm)],[20488, 20487])).
% 50.68/33.31 tff(20490,plain,
% 50.68/33.31 (~node14(s1)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20489, 2047, 20461, 20483])).
% 50.68/33.31 tff(20491,plain,
% 50.68/33.31 (~node11(s1)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[8312, 2031, 20461])).
% 50.68/33.31 tff(20492,plain,
% 50.68/33.31 (node17(s1)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[3357, 20466])).
% 50.68/33.31 tff(20493,plain,
% 50.68/33.31 (~m_processor_v_master(c_p2, s1)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[3678, 20492])).
% 50.68/33.31 tff(20494,plain,
% 50.68/33.31 (node64(c_p2, s1)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[3435, 3399, 3422])).
% 50.68/33.31 tff(20495,plain,
% 50.68/33.31 ($false),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[3397, 1482, 3399, 20494])).
% 50.68/33.31 tff(20496,plain,(m_processor_v_master(c_p2, s1) | m_processor_v_cmd(c_p2, s1, c_idle)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.31 tff(20497,plain,
% 50.68/33.31 (m_processor_v_cmd(c_p2, s1, c_idle)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20496, 20493])).
% 50.68/33.31 tff(20498,plain,
% 50.68/33.31 (node9(s1) | node11(s1) | node13(s1) | node14(s1)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[8353, 2014, 20497, 20300, 3375])).
% 50.68/33.31 tff(20499,plain,
% 50.68/33.31 ($false),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20498, 20491, 20490, 20463, 20462])).
% 50.68/33.31 tff(20500,plain,((~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_memory_v_busy(c_m, s2)) | m_memory_v_abort(c_m, s1) | m_processor_v_waiting(c_p0, s2) | (~m_processor_v_waiting(c_p0, s1)) | node47(c_p0, s1) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_main_v_CMD(s1, c_read_h_owned) | m_main_v_CMD(s1, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.31 tff(20501,plain,
% 50.68/33.31 (~m_processor_v_cmd(c_p0, s1, c_idle)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20500, 20298, 9926, 20207, 3109, 20259, 3104, 20247, 20260])).
% 50.68/33.31 tff(20502,plain,
% 50.68/33.31 (m_processor_v_master(c_p0, s1)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[3298, 20501])).
% 50.68/33.31 tff(20503,plain,
% 50.68/33.31 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | ((~m_processor_v_master(c_p0, s1)) | (~node50(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | (~m_processor_v_master(c_p0, s1)) | (~node50(c_p0, s1)))),
% 50.68/33.31 inference(rewrite,[status(thm)],[])).
% 50.68/33.31 tff(20504,plain,
% 50.68/33.31 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | ((~m_processor_v_master(c_p0, s1)) | (~node50(c_p0, s1)))),
% 50.68/33.31 inference(quant_inst,[status(thm)],[])).
% 50.68/33.31 tff(20505,plain,
% 50.68/33.31 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | (~m_processor_v_master(c_p0, s1)) | (~node50(c_p0, s1))),
% 50.68/33.31 inference(modus_ponens,[status(thm)],[20504, 20503])).
% 50.68/33.31 tff(20506,plain,
% 50.68/33.31 (~node50(c_p0, s1)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20505, 16866, 20502])).
% 50.68/33.31 tff(20507,plain,
% 50.68/33.31 (~node52(c_p0, s1, s2)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20349, 3109, 20207])).
% 50.68/33.31 tff(20508,plain,
% 50.68/33.31 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | ((~m_processor_v_master(c_p0, s1)) | (~node51(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | (~m_processor_v_master(c_p0, s1)) | (~node51(c_p0, s1)))),
% 50.68/33.31 inference(rewrite,[status(thm)],[])).
% 50.68/33.31 tff(20509,plain,
% 50.68/33.31 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | ((~m_processor_v_master(c_p0, s1)) | (~node51(c_p0, s1)))),
% 50.68/33.31 inference(quant_inst,[status(thm)],[])).
% 50.68/33.31 tff(20510,plain,
% 50.68/33.31 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | (~m_processor_v_master(c_p0, s1)) | (~node51(c_p0, s1))),
% 50.68/33.31 inference(modus_ponens,[status(thm)],[20509, 20508])).
% 50.68/33.31 tff(20511,plain,
% 50.68/33.31 (~node51(c_p0, s1)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20510, 16894, 20502])).
% 50.68/33.31 tff(20512,plain,
% 50.68/33.31 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | ((~m_processor_v_master(c_p0, s1)) | (~node49(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | (~m_processor_v_master(c_p0, s1)) | (~node49(c_p0, s1)))),
% 50.68/33.31 inference(rewrite,[status(thm)],[])).
% 50.68/33.31 tff(20513,plain,
% 50.68/33.31 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | ((~m_processor_v_master(c_p0, s1)) | (~node49(c_p0, s1)))),
% 50.68/33.31 inference(quant_inst,[status(thm)],[])).
% 50.68/33.31 tff(20514,plain,
% 50.68/33.31 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | (~m_processor_v_master(c_p0, s1)) | (~node49(c_p0, s1))),
% 50.68/33.31 inference(modus_ponens,[status(thm)],[20513, 20512])).
% 50.68/33.31 tff(20515,plain,
% 50.68/33.31 (~node49(c_p0, s1)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20514, 16755, 20502])).
% 50.68/33.31 tff(20516,plain,
% 50.68/33.31 ($false),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20423, 20515, 20511, 20507, 20506, 3874, 20259, 20255])).
% 50.68/33.31 tff(20517,plain,(m_processor_v_CMD(c_p0, s1, c_read_h_shared) | m_processor_v_abort(c_p0, s1) | (~m_memory_v_busy(c_m, s2)) | m_processor_v_waiting(c_p0, s2) | (~m_processor_v_waiting(c_p0, s1)) | (~m_processor_v_state(c_p1, s1, c_invalid)) | m_memory_v_CMD(c_m, s1, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.31 tff(20518,plain,
% 50.68/33.31 (m_processor_v_CMD(c_p0, s1, c_read_h_shared)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20517, 20246, 9926, 20207, 20237, 3103, 20245])).
% 50.68/33.31 tff(20519,plain,
% 50.68/33.31 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node53(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node53(c_p0, s1, s2)))),
% 50.68/33.31 inference(rewrite,[status(thm)],[])).
% 50.68/33.31 tff(20520,plain,
% 50.68/33.31 ((m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | (~node53(c_p0, s1, s2))) <=> ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node53(c_p0, s1, s2)))),
% 50.68/33.31 inference(rewrite,[status(thm)],[])).
% 50.68/33.31 tff(20521,plain,
% 50.68/33.31 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | (~node53(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node53(c_p0, s1, s2))))),
% 50.68/33.31 inference(monotonicity,[status(thm)],[20520])).
% 50.68/33.31 tff(20522,plain,
% 50.68/33.31 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | (~node53(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node53(c_p0, s1, s2)))),
% 50.68/33.31 inference(transitivity,[status(thm)],[20521, 20519])).
% 50.68/33.31 tff(20523,plain,
% 50.68/33.31 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | (~node53(c_p0, s1, s2)))),
% 50.68/33.31 inference(quant_inst,[status(thm)],[])).
% 50.68/33.31 tff(20524,plain,
% 50.68/33.31 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node53(c_p0, s1, s2))),
% 50.68/33.31 inference(modus_ponens,[status(thm)],[20523, 20522])).
% 50.68/33.31 tff(20525,plain,
% 50.68/33.31 ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared))),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20524, 589, 20217])).
% 50.68/33.31 tff(20526,plain,
% 50.68/33.31 (~m_processor_v_master(c_p0, s1)),
% 50.68/33.31 inference(unit_resolution,[status(thm)],[20525, 20518, 20207, 20237])).
% 50.68/33.31 tff(20527,plain,
% 50.68/33.31 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid) | node35(c_p0, s1) | (~node38(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid) | node35(c_p0, s1) | (~node38(c_p0, s1, s2)))),
% 50.68/33.32 inference(rewrite,[status(thm)],[])).
% 50.68/33.32 tff(20528,plain,
% 50.68/33.32 (((~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_master(c_p0, s1) | node35(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1)) <=> (m_processor_v_master(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid) | node35(c_p0, s1) | (~node38(c_p0, s1, s2)))),
% 50.68/33.32 inference(rewrite,[status(thm)],[])).
% 50.68/33.32 tff(20529,plain,
% 50.68/33.32 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_master(c_p0, s1) | node35(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid) | node35(c_p0, s1) | (~node38(c_p0, s1, s2))))),
% 50.68/33.32 inference(monotonicity,[status(thm)],[20528])).
% 50.68/33.32 tff(20530,plain,
% 50.68/33.32 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_master(c_p0, s1) | node35(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid) | node35(c_p0, s1) | (~node38(c_p0, s1, s2)))),
% 50.68/33.32 inference(transitivity,[status(thm)],[20529, 20527])).
% 50.68/33.32 tff(20531,plain,
% 50.68/33.32 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_master(c_p0, s1) | node35(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1))),
% 50.68/33.32 inference(quant_inst,[status(thm)],[])).
% 50.68/33.32 tff(20532,plain,
% 50.68/33.32 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid) | node35(c_p0, s1) | (~node38(c_p0, s1, s2))),
% 50.68/33.32 inference(modus_ponens,[status(thm)],[20531, 20530])).
% 50.68/33.32 tff(20533,plain,
% 50.68/33.32 (m_processor_v_master(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid) | node35(c_p0, s1)),
% 50.68/33.32 inference(unit_resolution,[status(thm)],[20532, 301, 3864])).
% 50.68/33.32 tff(20534,plain,
% 50.68/33.32 (node35(c_p0, s1)),
% 50.68/33.32 inference(unit_resolution,[status(thm)],[20533, 3874, 3847, 3259, 3930])).
% 50.68/33.32 tff(20535,plain,
% 50.68/33.32 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s1, c_invalidate)) | (~node35(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s1, c_invalidate)) | (~node35(c_p0, s1)))),
% 50.68/33.32 inference(rewrite,[status(thm)],[])).
% 50.68/33.32 tff(20536,plain,
% 50.68/33.32 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s1, c_invalidate)) | (~node35(c_p0, s1)))),
% 50.68/33.32 inference(quant_inst,[status(thm)],[])).
% 50.68/33.32 tff(20537,plain,
% 50.68/33.32 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s1, c_invalidate)) | (~node35(c_p0, s1))),
% 50.68/33.32 inference(modus_ponens,[status(thm)],[20536, 20535])).
% 50.68/33.32 tff(20538,plain,
% 50.68/33.32 (~m_processor_v_CMD(c_p0, s1, c_invalidate)),
% 50.68/33.32 inference(unit_resolution,[status(thm)],[20537, 327, 20534])).
% 50.68/33.32 tff(20539,plain,
% 50.68/33.32 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_shared)) | node36(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_shared)) | node36(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2)))),
% 50.68/33.32 inference(rewrite,[status(thm)],[])).
% 50.68/33.32 tff(20540,plain,
% 50.68/33.32 (((~m_processor_v_state(c_p0, s1, c_shared)) | node36(c_p0, s1) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_master(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1)) <=> (m_processor_v_master(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_shared)) | node36(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2)))),
% 50.68/33.32 inference(rewrite,[status(thm)],[])).
% 50.68/33.32 tff(20541,plain,
% 50.68/33.32 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s1, c_shared)) | node36(c_p0, s1) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_master(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_shared)) | node36(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2))))),
% 50.68/33.32 inference(monotonicity,[status(thm)],[20540])).
% 50.68/33.32 tff(20542,plain,
% 50.68/33.32 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s1, c_shared)) | node36(c_p0, s1) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_master(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_shared)) | node36(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2)))),
% 50.68/33.32 inference(transitivity,[status(thm)],[20541, 20539])).
% 50.68/33.32 tff(20543,plain,
% 50.68/33.32 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p0, s1, c_shared)) | node36(c_p0, s1) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_master(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2)) | m_processor_v_abort(c_p0, s1))),
% 50.68/33.32 inference(quant_inst,[status(thm)],[])).
% 50.68/33.32 tff(20544,plain,
% 50.68/33.32 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_shared)) | node36(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid) | (~node38(c_p0, s1, s2))),
% 50.68/33.32 inference(modus_ponens,[status(thm)],[20543, 20542])).
% 50.68/33.32 tff(20545,plain,
% 50.68/33.32 (m_processor_v_master(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_shared)) | node36(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid)),
% 50.68/33.32 inference(unit_resolution,[status(thm)],[20544, 341, 3864])).
% 50.68/33.32 tff(20546,plain,
% 50.68/33.32 (node36(c_p0, s1)),
% 50.68/33.32 inference(unit_resolution,[status(thm)],[20545, 3874, 3259, 3930, 2668, 3847])).
% 50.68/33.32 tff(20547,plain,
% 50.68/33.32 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node35(c_p0, s1)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node35(c_p0, s1)))),
% 50.68/33.32 inference(rewrite,[status(thm)],[])).
% 50.68/33.32 tff(20548,plain,
% 50.68/33.32 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node35(c_p0, s1)))),
% 50.68/33.32 inference(quant_inst,[status(thm)],[])).
% 50.68/33.32 tff(20549,plain,
% 50.68/33.32 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node35(c_p0, s1))),
% 50.68/33.32 inference(modus_ponens,[status(thm)],[20548, 20547])).
% 50.68/33.32 tff(20550,plain,
% 50.68/33.32 (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)),
% 50.68/33.32 inference(unit_resolution,[status(thm)],[20549, 316, 20534])).
% 50.68/33.32 tff(20551,plain,
% 50.68/33.32 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~node36(c_p0, s1)) | m_processor_v_CMD(c_p0, s1, c_invalidate))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~node36(c_p0, s1)) | m_processor_v_CMD(c_p0, s1, c_invalidate))),
% 50.68/33.32 inference(rewrite,[status(thm)],[])).
% 50.68/33.32 tff(20552,plain,
% 50.68/33.32 ((m_processor_v_CMD(c_p0, s1, c_invalidate) | (~node36(c_p0, s1)) | m_processor_v_CMD(c_p0, s1, c_read_h_owned)) <=> (m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~node36(c_p0, s1)) | m_processor_v_CMD(c_p0, s1, c_invalidate))),
% 50.68/33.32 inference(rewrite,[status(thm)],[])).
% 50.68/33.32 tff(20553,plain,
% 50.68/33.32 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s1, c_invalidate) | (~node36(c_p0, s1)) | m_processor_v_CMD(c_p0, s1, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~node36(c_p0, s1)) | m_processor_v_CMD(c_p0, s1, c_invalidate)))),
% 50.68/33.32 inference(monotonicity,[status(thm)],[20552])).
% 50.68/33.32 tff(20554,plain,
% 50.68/33.32 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s1, c_invalidate) | (~node36(c_p0, s1)) | m_processor_v_CMD(c_p0, s1, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~node36(c_p0, s1)) | m_processor_v_CMD(c_p0, s1, c_invalidate))),
% 50.68/33.32 inference(transitivity,[status(thm)],[20553, 20551])).
% 50.68/33.32 tff(20555,plain,
% 50.68/33.32 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p0, s1, c_invalidate) | (~node36(c_p0, s1)) | m_processor_v_CMD(c_p0, s1, c_read_h_owned))),
% 50.68/33.32 inference(quant_inst,[status(thm)],[])).
% 50.68/33.32 tff(20556,plain,
% 50.68/33.32 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p0, s1, c_read_h_owned) | (~node36(c_p0, s1)) | m_processor_v_CMD(c_p0, s1, c_invalidate)),
% 50.68/33.32 inference(modus_ponens,[status(thm)],[20555, 20554])).
% 50.68/33.32 tff(20557,plain,
% 50.68/33.32 ($false),
% 50.68/33.32 inference(unit_resolution,[status(thm)],[20556, 359, 20550, 20546, 20538])).
% 50.68/33.32 tff(20558,plain,(m_processor_v_abort(c_p0, s1) | m_processor_v_master(c_p0, s1) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.32 tff(20559,plain,
% 50.68/33.32 (m_processor_v_abort(c_p0, s1)),
% 50.68/33.32 inference(unit_resolution,[status(thm)],[20558, 3930, 3259, 2668, 3847])).
% 50.68/33.32 tff(20560,plain,
% 50.68/33.32 (node32(c_p0, s1, s2)),
% 50.68/33.32 inference(unit_resolution,[status(thm)],[3871, 20559])).
% 50.68/33.32 tff(20561,plain,
% 50.68/33.32 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_state(c_p0, s2, c_shared) | (~node32(c_p0, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_state(c_p0, s2, c_shared) | (~node32(c_p0, s1, s2)))),
% 50.68/33.32 inference(rewrite,[status(thm)],[])).
% 50.68/33.32 tff(20562,plain,
% 50.68/33.32 (((~node32(c_p0, s1, s2)) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_state(c_p0, s2, c_shared)) <=> ((~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_state(c_p0, s2, c_shared) | (~node32(c_p0, s1, s2)))),
% 50.68/33.32 inference(rewrite,[status(thm)],[])).
% 50.68/33.32 tff(20563,plain,
% 50.68/33.32 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s1, s2)) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_state(c_p0, s2, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_state(c_p0, s2, c_shared) | (~node32(c_p0, s1, s2))))),
% 50.68/33.32 inference(monotonicity,[status(thm)],[20562])).
% 50.68/33.32 tff(20564,plain,
% 50.68/33.32 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s1, s2)) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_state(c_p0, s2, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_state(c_p0, s2, c_shared) | (~node32(c_p0, s1, s2)))),
% 50.68/33.32 inference(transitivity,[status(thm)],[20563, 20561])).
% 50.68/33.32 tff(20565,plain,
% 50.68/33.32 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s1, s2)) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_state(c_p0, s2, c_shared))),
% 50.68/33.32 inference(quant_inst,[status(thm)],[])).
% 50.68/33.32 tff(20566,plain,
% 50.68/33.32 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_state(c_p0, s2, c_shared) | (~node32(c_p0, s1, s2))),
% 50.68/33.32 inference(modus_ponens,[status(thm)],[20565, 20564])).
% 50.68/33.32 tff(20567,plain,
% 50.68/33.32 ($false),
% 50.68/33.32 inference(unit_resolution,[status(thm)],[20566, 380, 3930, 2668, 20560])).
% 50.68/33.32 tff(20568,plain,((~m_processor_v_state(c_p0, s1, c_shared)) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_master(c_p0, s1) | m_processor_v_state(c_p0, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.32 tff(20569,plain,
% 50.68/33.32 (~m_processor_v_state(c_p0, s1, c_shared)),
% 50.68/33.32 inference(unit_resolution,[status(thm)],[20568, 20526, 3847, 2668])).
% 50.68/33.32 tff(20570,plain,
% 50.68/33.32 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node45(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | (~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node45(c_p0, s1, s2)))),
% 50.68/33.32 inference(rewrite,[status(thm)],[])).
% 50.68/33.32 tff(20571,plain,
% 50.68/33.32 (((~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | (~node45(c_p0, s1, s2)) | m_processor_v_snoop(c_p0, s2, c_shared)) <=> ((~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node45(c_p0, s1, s2)))),
% 50.68/33.32 inference(rewrite,[status(thm)],[])).
% 50.68/33.32 tff(20572,plain,
% 50.68/33.32 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | (~node45(c_p0, s1, s2)) | m_processor_v_snoop(c_p0, s2, c_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node45(c_p0, s1, s2))))),
% 50.68/33.32 inference(monotonicity,[status(thm)],[20571])).
% 50.68/33.32 tff(20573,plain,
% 50.68/33.32 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | (~node45(c_p0, s1, s2)) | m_processor_v_snoop(c_p0, s2, c_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | (~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node45(c_p0, s1, s2)))),
% 50.68/33.32 inference(transitivity,[status(thm)],[20572, 20570])).
% 50.68/33.32 tff(20574,plain,
% 50.68/33.32 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p0, s1, c_owned)) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | (~node45(c_p0, s1, s2)) | m_processor_v_snoop(c_p0, s2, c_shared))),
% 50.68/33.32 inference(quant_inst,[status(thm)],[])).
% 50.68/33.32 tff(20575,plain,
% 50.68/33.32 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | (~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)) | (~node45(c_p0, s1, s2))),
% 50.68/33.32 inference(modus_ponens,[status(thm)],[20574, 20573])).
% 50.68/33.32 tff(20576,plain,
% 50.68/33.32 ((~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | m_processor_v_snoop(c_p0, s2, c_shared) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared))),
% 50.68/33.32 inference(unit_resolution,[status(thm)],[20575, 8742, 10938])).
% 50.68/33.32 tff(20577,plain,
% 50.68/33.32 ((~m_processor_v_state(c_p0, s1, c_owned)) | m_processor_v_master(c_p0, s1) | m_processor_v_abort(c_p0, s1) | (~m_processor_v_CMD(c_p0, s1, c_read_h_shared))),
% 50.68/33.32 inference(unit_resolution,[status(thm)],[20576, 11350])).
% 50.68/33.32 tff(20578,plain,
% 50.68/33.32 (~m_processor_v_state(c_p0, s1, c_owned)),
% 50.68/33.32 inference(unit_resolution,[status(thm)],[20577, 20518, 20237, 20526])).
% 50.68/33.32 tff(20579,plain,
% 50.68/33.32 (m_processor_v_CMD(c_p0, s0, c_read_h_shared)),
% 50.68/33.32 inference(unit_resolution,[status(thm)],[7990, 20578, 2847, 20211])).
% 50.68/33.32 tff(20580,plain,
% 50.68/33.32 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p0, s1, c_shared) | (~node34(c_p0, s0, s1)) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s1, c_shared) | (~node34(c_p0, s0, s1)) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)))),
% 50.68/33.32 inference(rewrite,[status(thm)],[])).
% 50.68/33.32 tff(20581,plain,
% 50.68/33.32 (((~node34(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_shared) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared))) <=> (m_processor_v_state(c_p0, s1, c_shared) | (~node34(c_p0, s0, s1)) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)))),
% 50.68/33.32 inference(rewrite,[status(thm)],[])).
% 50.68/33.32 tff(20582,plain,
% 50.68/33.32 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_shared) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (m_processor_v_state(c_p0, s1, c_shared) | (~node34(c_p0, s0, s1)) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared))))),
% 50.68/33.33 inference(monotonicity,[status(thm)],[20581])).
% 50.68/33.33 tff(20583,plain,
% 50.68/33.33 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_shared) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s1, c_shared) | (~node34(c_p0, s0, s1)) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)))),
% 50.68/33.33 inference(transitivity,[status(thm)],[20582, 20580])).
% 50.68/33.33 tff(20584,plain,
% 50.68/33.33 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p0, s0, s1)) | m_processor_v_state(c_p0, s1, c_shared) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared)))),
% 50.68/33.33 inference(quant_inst,[status(thm)],[])).
% 50.68/33.33 tff(20585,plain,
% 50.68/33.33 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | m_processor_v_state(c_p0, s1, c_shared) | (~node34(c_p0, s0, s1)) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared))),
% 50.68/33.33 inference(modus_ponens,[status(thm)],[20584, 20583])).
% 50.68/33.33 tff(20586,plain,
% 50.68/33.33 ($false),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[20585, 416, 7982, 3937, 7853])).
% 50.68/33.33 tff(20587,plain,(m_processor_v_state(c_p0, s1, c_shared) | (~node34(c_p0, s0, s1)) | (~m_processor_v_CMD(c_p0, s0, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 50.68/33.33 tff(20588,plain,
% 50.68/33.33 ($false),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[20587, 20579, 20569, 20211])).
% 50.68/33.33 tff(20589,plain,(m_processor_v_state(c_p0, s1, c_invalid) | m_processor_v_state(c_p0, s2, c_invalid) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_waiting(c_p0, s2) | (~m_memory_v_busy(c_m, s2))), inference(lemma,lemma(discharge,[]))).
% 50.68/33.33 tff(20590,plain,
% 50.68/33.33 (m_processor_v_state(c_p0, s1, c_invalid)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[20589, 20207, 2668, 3847, 9926])).
% 50.68/33.33 tff(20591,plain,
% 50.68/33.33 (m_processor_v_master(c_p0, s1)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[3961, 20590, 3847])).
% 50.68/33.33 tff(20592,plain,
% 50.68/33.33 (node8(s1)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[4867, 8840])).
% 50.68/33.33 tff(20593,plain,
% 50.68/33.33 (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[4901, 20592, 3376])).
% 50.68/33.33 tff(20594,plain,
% 50.68/33.33 (m_processor_v_cmd(c_p0, s1, c_read_h_shared)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[4949, 1835, 8840, 3849, 20593])).
% 50.68/33.33 tff(20595,plain,
% 50.68/33.33 (~m_processor_v_master(c_p1, s1)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[3257, 794, 8840])).
% 50.68/33.33 tff(20596,plain,
% 50.68/33.33 (m_processor_v_cmd(c_p1, s1, c_idle)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[3335, 20595])).
% 50.68/33.33 tff(20597,plain,
% 50.68/33.33 (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[20525, 3950, 20207, 8840])).
% 50.68/33.33 tff(20598,plain,
% 50.68/33.33 (~m_main_v_CMD(s1, c_read_h_shared)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[5024, 1228, 4907, 20597])).
% 50.68/33.33 tff(20599,plain,
% 50.68/33.33 (m_processor_v_master(c_p0, s1)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[3298, 3260])).
% 50.68/33.33 tff(20600,plain,
% 50.68/33.33 (~node17(s1)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[4843, 1275, 20599])).
% 50.68/33.33 tff(20601,plain,
% 50.68/33.33 (~m_memory_v_master(c_m, s1)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[3357, 20600])).
% 50.68/33.33 tff(20602,plain,
% 50.68/33.33 (~node29(c_m, s1)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[3365, 20601])).
% 50.68/33.33 tff(20603,plain,
% 50.68/33.33 (m_memory_v_cmd(c_m, s1, c_idle)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[3373, 20602])).
% 50.68/33.33 tff(20604,plain,
% 50.68/33.33 (~node16(s1)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[4858, 1530, 20599])).
% 50.68/33.33 tff(20605,plain,
% 50.68/33.33 (~m_processor_v_master(c_p2, s1)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[3393, 1545, 20604])).
% 50.68/33.33 tff(20606,plain,
% 50.68/33.33 (~node64(c_p2, s1)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[3397, 1482, 20605])).
% 50.68/33.33 tff(20607,plain,
% 50.68/33.33 (m_processor_v_cmd(c_p2, s1, c_idle)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[3435, 20606, 20605])).
% 50.68/33.33 tff(20608,plain,
% 50.68/33.33 (node8(s1)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[8300, 20607, 20603])).
% 50.68/33.33 tff(20609,plain,
% 50.68/33.33 ((~m_processor_v_cmd(c_p0, s1, c_read_h_shared)) | (~node8(s1))),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[4956, 1669, 3300])).
% 50.68/33.33 tff(20610,plain,
% 50.68/33.33 (~m_processor_v_cmd(c_p0, s1, c_read_h_shared)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[20609, 20608])).
% 50.68/33.33 tff(20611,plain,
% 50.68/33.33 ((~m_processor_v_master(c_p0, s1)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | m_processor_v_cmd(c_p0, s1, c_read_h_shared)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[4949, 1835, 3849])).
% 50.68/33.33 tff(20612,plain,
% 50.68/33.33 (m_processor_v_cmd(c_p0, s1, c_read_h_owned)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[20611, 20610, 20599])).
% 50.68/33.33 tff(20613,plain,
% 50.68/33.33 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)))),
% 50.68/33.33 inference(rewrite,[status(thm)],[])).
% 50.68/33.33 tff(20614,plain,
% 50.68/33.33 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)))),
% 50.68/33.33 inference(quant_inst,[status(thm)],[])).
% 50.68/33.33 tff(20615,plain,
% 50.68/33.33 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid))),
% 50.68/33.33 inference(modus_ponens,[status(thm)],[20614, 20613])).
% 50.68/33.33 tff(20616,plain,
% 50.68/33.33 (~m_processor_v_cmd(c_p0, s1, c_write_h_invalid)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[20615, 3716, 20612])).
% 50.68/33.33 tff(20617,plain,
% 50.68/33.33 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s1, c_idle) | (~m_main_v_CMD(s1, c_idle)) | (~node8(s1)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s1, c_idle) | (~m_main_v_CMD(s1, c_idle)) | (~node8(s1)))),
% 50.68/33.33 inference(rewrite,[status(thm)],[])).
% 50.68/33.33 tff(20618,plain,
% 50.68/33.33 (((~m_main_v_CMD(s1, c_idle)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_idle)) <=> (m_processor_v_cmd(c_p0, s1, c_idle) | (~m_main_v_CMD(s1, c_idle)) | (~node8(s1)))),
% 50.68/33.33 inference(rewrite,[status(thm)],[])).
% 50.68/33.33 tff(20619,plain,
% 50.68/33.33 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_idle)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_idle))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s1, c_idle) | (~m_main_v_CMD(s1, c_idle)) | (~node8(s1))))),
% 50.68/33.33 inference(monotonicity,[status(thm)],[20618])).
% 50.68/33.33 tff(20620,plain,
% 50.68/33.33 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_idle)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_idle))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s1, c_idle) | (~m_main_v_CMD(s1, c_idle)) | (~node8(s1)))),
% 50.68/33.33 inference(transitivity,[status(thm)],[20619, 20617])).
% 50.68/33.33 tff(20621,plain,
% 50.68/33.33 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_idle)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_idle))),
% 50.68/33.33 inference(quant_inst,[status(thm)],[])).
% 50.68/33.33 tff(20622,plain,
% 50.68/33.33 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s1, c_idle) | (~m_main_v_CMD(s1, c_idle)) | (~node8(s1))),
% 50.68/33.33 inference(modus_ponens,[status(thm)],[20621, 20620])).
% 50.68/33.33 tff(20623,plain,
% 50.68/33.33 ((~m_main_v_CMD(s1, c_idle)) | (~node8(s1))),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[20622, 2191, 3260])).
% 50.68/33.33 tff(20624,plain,
% 50.68/33.33 (~m_main_v_CMD(s1, c_idle)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[20623, 20608])).
% 50.68/33.33 tff(20625,assumption,(~m_processor_v_cmd(c_p0, s1, c_read_h_shared)), introduced(assumption)).
% 50.68/33.33 tff(20626,plain,
% 50.68/33.33 ((~m_processor_v_state(c_p0, s1, c_invalid)) | m_processor_v_cmd(c_p0, s1, c_read_h_owned) | m_processor_v_cmd(c_p0, s1, c_read_h_shared)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[4949, 1835, 4840])).
% 50.68/33.33 tff(20627,plain,
% 50.68/33.33 (m_processor_v_cmd(c_p0, s1, c_read_h_owned)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[20626, 20625, 3849])).
% 50.68/33.33 tff(20628,plain,
% 50.68/33.33 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_response)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_response)))),
% 50.68/33.33 inference(rewrite,[status(thm)],[])).
% 50.68/33.33 tff(20629,plain,
% 50.68/33.33 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_response)))),
% 50.68/33.33 inference(quant_inst,[status(thm)],[])).
% 50.68/33.33 tff(20630,plain,
% 50.68/33.33 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_response))),
% 50.68/33.33 inference(modus_ponens,[status(thm)],[20629, 20628])).
% 50.68/33.33 tff(20631,plain,
% 50.68/33.33 (~m_processor_v_cmd(c_p0, s1, c_response)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[20630, 3574, 20627])).
% 50.68/33.33 tff(20632,plain,
% 50.68/33.33 (~m_main_v_CMD(s1, c_response)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[20444, 2191, 4877, 20631])).
% 50.68/33.33 tff(20633,plain,
% 50.68/33.33 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | ((~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_shared)))),
% 50.68/33.33 inference(rewrite,[status(thm)],[])).
% 50.68/33.33 tff(20634,plain,
% 50.68/33.33 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | ((~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_shared)))),
% 50.68/33.33 inference(quant_inst,[status(thm)],[])).
% 50.68/33.33 tff(20635,plain,
% 50.68/33.33 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_shared))),
% 50.68/33.33 inference(modus_ponens,[status(thm)],[20634, 20633])).
% 50.68/33.33 tff(20636,plain,
% 50.68/33.33 (~m_processor_v_cmd(c_p0, s1, c_write_h_shared)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[20635, 3592, 20627])).
% 50.68/33.33 tff(20637,plain,
% 50.68/33.33 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_shared) | (~m_main_v_CMD(s1, c_write_h_shared)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_shared) | (~m_main_v_CMD(s1, c_write_h_shared)))),
% 50.68/33.33 inference(rewrite,[status(thm)],[])).
% 50.68/33.33 tff(20638,plain,
% 50.68/33.33 (((~m_main_v_CMD(s1, c_write_h_shared)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_shared)) <=> ((~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_shared) | (~m_main_v_CMD(s1, c_write_h_shared)))),
% 50.68/33.33 inference(rewrite,[status(thm)],[])).
% 50.68/33.33 tff(20639,plain,
% 50.68/33.33 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_write_h_shared)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_shared) | (~m_main_v_CMD(s1, c_write_h_shared))))),
% 50.68/33.33 inference(monotonicity,[status(thm)],[20638])).
% 50.68/33.33 tff(20640,plain,
% 50.68/33.33 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_write_h_shared)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_shared) | (~m_main_v_CMD(s1, c_write_h_shared)))),
% 50.68/33.33 inference(transitivity,[status(thm)],[20639, 20637])).
% 50.68/33.33 tff(20641,plain,
% 50.68/33.33 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_write_h_shared)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_shared))),
% 50.68/33.33 inference(quant_inst,[status(thm)],[])).
% 50.68/33.33 tff(20642,plain,
% 50.68/33.33 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_shared) | (~m_main_v_CMD(s1, c_write_h_shared))),
% 50.68/33.33 inference(modus_ponens,[status(thm)],[20641, 20640])).
% 50.68/33.33 tff(20643,plain,
% 50.68/33.33 (~m_main_v_CMD(s1, c_write_h_shared)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[20642, 2191, 4877, 20636])).
% 50.68/33.33 tff(20644,plain,
% 50.68/33.33 (~m_main_v_CMD(s1, c_read_h_shared)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[4940, 2191, 4877, 20625])).
% 50.68/33.33 tff(20645,plain,
% 50.68/33.33 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid)))),
% 50.68/33.33 inference(rewrite,[status(thm)],[])).
% 50.68/33.33 tff(20646,plain,
% 50.68/33.33 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid)))),
% 50.68/33.33 inference(quant_inst,[status(thm)],[])).
% 50.68/33.33 tff(20647,plain,
% 50.68/33.33 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid))),
% 50.68/33.33 inference(modus_ponens,[status(thm)],[20646, 20645])).
% 50.68/33.33 tff(20648,plain,
% 50.68/33.33 (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[20647, 3498, 20627])).
% 50.68/33.33 tff(20649,plain,
% 50.68/33.33 (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[20434, 2191, 4877, 20648])).
% 50.68/33.33 tff(20650,assumption,(~m_main_v_CMD(s1, c_write_h_shared)), introduced(assumption)).
% 50.68/33.33 tff(20651,plain,
% 50.68/33.33 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | ((~m_processor_v_cmd(c_p0, s1, c_invalidate)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | (~m_processor_v_cmd(c_p0, s1, c_invalidate)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)))),
% 50.68/33.33 inference(rewrite,[status(thm)],[])).
% 50.68/33.33 tff(20652,plain,
% 50.68/33.33 (((~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_invalidate))) <=> ((~m_processor_v_cmd(c_p0, s1, c_invalidate)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)))),
% 50.68/33.33 inference(rewrite,[status(thm)],[])).
% 50.68/33.33 tff(20653,plain,
% 50.68/33.33 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | ((~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_invalidate)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | ((~m_processor_v_cmd(c_p0, s1, c_invalidate)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned))))),
% 50.68/33.33 inference(monotonicity,[status(thm)],[20652])).
% 50.68/33.33 tff(20654,plain,
% 50.68/33.33 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | ((~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_invalidate)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | (~m_processor_v_cmd(c_p0, s1, c_invalidate)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)))),
% 50.68/33.33 inference(transitivity,[status(thm)],[20653, 20651])).
% 50.68/33.33 tff(20655,plain,
% 50.68/33.33 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | ((~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_invalidate)))),
% 50.68/33.33 inference(quant_inst,[status(thm)],[])).
% 50.68/33.33 tff(20656,plain,
% 50.68/33.33 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | (~m_processor_v_cmd(c_p0, s1, c_invalidate)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned))),
% 50.68/33.33 inference(modus_ponens,[status(thm)],[20655, 20654])).
% 50.68/33.33 tff(20657,plain,
% 50.68/33.33 (~m_processor_v_cmd(c_p0, s1, c_invalidate)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[20656, 3544, 20627])).
% 50.68/33.33 tff(20658,plain,
% 50.68/33.33 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_invalidate) | (~m_main_v_CMD(s1, c_invalidate)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_invalidate) | (~m_main_v_CMD(s1, c_invalidate)))),
% 50.68/33.33 inference(rewrite,[status(thm)],[])).
% 50.68/33.33 tff(20659,plain,
% 50.68/33.33 (((~m_main_v_CMD(s1, c_invalidate)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_invalidate)) <=> ((~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_invalidate) | (~m_main_v_CMD(s1, c_invalidate)))),
% 50.68/33.33 inference(rewrite,[status(thm)],[])).
% 50.68/33.33 tff(20660,plain,
% 50.68/33.33 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_invalidate)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_invalidate))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_invalidate) | (~m_main_v_CMD(s1, c_invalidate))))),
% 50.68/33.33 inference(monotonicity,[status(thm)],[20659])).
% 50.68/33.33 tff(20661,plain,
% 50.68/33.33 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_invalidate)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_invalidate))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_invalidate) | (~m_main_v_CMD(s1, c_invalidate)))),
% 50.68/33.33 inference(transitivity,[status(thm)],[20660, 20658])).
% 50.68/33.33 tff(20662,plain,
% 50.68/33.33 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_invalidate)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_invalidate))),
% 50.68/33.33 inference(quant_inst,[status(thm)],[])).
% 50.68/33.33 tff(20663,plain,
% 50.68/33.33 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_invalidate) | (~m_main_v_CMD(s1, c_invalidate))),
% 50.68/33.33 inference(modus_ponens,[status(thm)],[20662, 20661])).
% 50.68/33.33 tff(20664,plain,
% 50.68/33.33 (~m_main_v_CMD(s1, c_invalidate)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[20663, 2191, 4877, 20657])).
% 50.68/33.33 tff(20665,plain,
% 50.68/33.33 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared)))),
% 50.68/33.33 inference(rewrite,[status(thm)],[])).
% 50.68/33.33 tff(20666,plain,
% 50.68/33.33 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared)))),
% 50.68/33.33 inference(quant_inst,[status(thm)],[])).
% 50.68/33.33 tff(20667,plain,
% 50.68/33.33 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p0, s1, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared))),
% 50.68/33.33 inference(modus_ponens,[status(thm)],[20666, 20665])).
% 50.68/33.33 tff(20668,plain,
% 50.68/33.33 (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[20667, 3526, 20627])).
% 50.68/33.33 tff(20669,plain,
% 50.68/33.33 (~m_main_v_CMD(s1, c_write_h_resp_h_shared)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[20454, 2191, 4877, 20668])).
% 50.68/33.33 tff(20670,plain,
% 50.68/33.33 (m_main_v_CMD(s1, c_idle) | m_main_v_CMD(s1, c_response) | m_main_v_CMD(s1, c_invalidate) | m_main_v_CMD(s1, c_write_h_resp_h_shared) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | m_main_v_CMD(s1, c_write_h_shared) | m_main_v_CMD(s1, c_read_h_owned) | m_main_v_CMD(s1, c_read_h_shared)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[3619, 3613, 3567])).
% 50.68/33.33 tff(20671,plain,
% 50.68/33.33 ($false),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[20670, 20669, 20664, 3376, 8282, 20650, 8332, 20649, 20644])).
% 50.68/33.33 tff(20672,plain,(m_processor_v_cmd(c_p0, s1, c_read_h_shared) | m_main_v_CMD(s1, c_read_h_owned) | m_main_v_CMD(s1, c_idle) | m_main_v_CMD(s1, c_write_h_shared) | m_main_v_CMD(s1, c_response) | m_main_v_CMD(s1, c_write_h_invalid) | (~node8(s1)) | (~m_processor_v_state(c_p0, s1, c_invalid)) | (~m_processor_v_master(c_p0, s1))), inference(lemma,lemma(discharge,[]))).
% 50.68/33.33 tff(20673,plain,
% 50.68/33.33 ($false),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[20672, 20643, 20632, 8282, 20625, 3376, 3567, 4877, 3849, 4840])).
% 50.68/33.33 tff(20674,plain,(m_processor_v_cmd(c_p0, s1, c_read_h_shared) | m_main_v_CMD(s1, c_idle) | m_main_v_CMD(s1, c_read_h_owned) | m_main_v_CMD(s1, c_write_h_invalid) | (~node8(s1)) | (~m_processor_v_state(c_p0, s1, c_invalid)) | (~m_processor_v_master(c_p0, s1))), inference(lemma,lemma(discharge,[]))).
% 50.68/33.33 tff(20675,plain,
% 50.68/33.33 (m_main_v_CMD(s1, c_write_h_invalid)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[20674, 20624, 3849, 3376, 20599, 20610, 20608])).
% 50.68/33.33 tff(20676,plain,
% 50.68/33.33 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s1, c_write_h_invalid) | (~node8(s1)) | (~m_main_v_CMD(s1, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s1, c_write_h_invalid) | (~node8(s1)) | (~m_main_v_CMD(s1, c_write_h_invalid)))),
% 50.68/33.33 inference(rewrite,[status(thm)],[])).
% 50.68/33.33 tff(20677,plain,
% 50.68/33.33 (((~m_main_v_CMD(s1, c_write_h_invalid)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_invalid)) <=> (m_processor_v_cmd(c_p0, s1, c_write_h_invalid) | (~node8(s1)) | (~m_main_v_CMD(s1, c_write_h_invalid)))),
% 50.68/33.33 inference(rewrite,[status(thm)],[])).
% 50.68/33.33 tff(20678,plain,
% 50.68/33.33 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_write_h_invalid)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s1, c_write_h_invalid) | (~node8(s1)) | (~m_main_v_CMD(s1, c_write_h_invalid))))),
% 50.68/33.33 inference(monotonicity,[status(thm)],[20677])).
% 50.68/33.33 tff(20679,plain,
% 50.68/33.33 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_write_h_invalid)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s1, c_write_h_invalid) | (~node8(s1)) | (~m_main_v_CMD(s1, c_write_h_invalid)))),
% 50.68/33.33 inference(transitivity,[status(thm)],[20678, 20676])).
% 50.68/33.33 tff(20680,plain,
% 50.68/33.33 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s1, c_write_h_invalid)) | (~node8(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_invalid))),
% 50.68/33.33 inference(quant_inst,[status(thm)],[])).
% 50.68/33.33 tff(20681,plain,
% 50.68/33.33 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s1, c_write_h_invalid) | (~node8(s1)) | (~m_main_v_CMD(s1, c_write_h_invalid))),
% 50.68/33.33 inference(modus_ponens,[status(thm)],[20680, 20679])).
% 50.68/33.33 tff(20682,plain,
% 50.68/33.33 ($false),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[20681, 2191, 20675, 20608, 20616])).
% 50.68/33.33 tff(20683,plain,(m_processor_v_cmd(c_p0, s1, c_idle) | (~m_processor_v_state(c_p0, s1, c_invalid)) | m_main_v_CMD(s1, c_read_h_owned) | m_main_v_CMD(s1, c_read_h_shared) | (~m_processor_v_cmd(c_p1, s1, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.68/33.33 tff(20684,plain,
% 50.68/33.33 (m_processor_v_cmd(c_p0, s1, c_idle)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[20683, 20598, 3849, 3376, 20596])).
% 50.68/33.33 tff(20685,plain,
% 50.68/33.33 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_shared)))),
% 50.68/33.33 inference(rewrite,[status(thm)],[])).
% 50.68/33.33 tff(20686,plain,
% 50.68/33.33 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_shared)))),
% 50.68/33.33 inference(quant_inst,[status(thm)],[])).
% 50.68/33.33 tff(20687,plain,
% 50.68/33.33 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_read_h_shared))),
% 50.68/33.33 inference(modus_ponens,[status(thm)],[20686, 20685])).
% 50.68/33.33 tff(20688,plain,
% 50.68/33.33 ($false),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[20687, 3200, 20684, 20594])).
% 50.68/33.33 tff(20689,plain,((~m_processor_v_state(c_p0, s1, c_invalid)) | m_main_v_CMD(s1, c_read_h_owned) | m_processor_v_waiting(c_p0, s2) | m_processor_v_state(c_p0, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.33 tff(20690,plain,
% 50.68/33.33 (m_main_v_CMD(s1, c_read_h_owned)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[20689, 20590, 3847, 20207])).
% 50.68/33.33 tff(20691,plain,
% 50.68/33.33 (m_processor_v_CMD(c_p0, s1, c_read_h_owned)),
% 50.68/33.33 inference(unit_resolution,[status(thm)],[4915, 20690])).
% 50.68/33.33 tff(20692,plain,
% 50.68/33.33 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_waiting(c_p0, s2) | node47(c_p0, s1) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node53(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_waiting(c_p0, s2) | node47(c_p0, s1) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node53(c_p0, s1, s2)))),
% 50.68/33.33 inference(rewrite,[status(thm)],[])).
% 50.68/33.34 tff(20693,plain,
% 50.68/33.34 ((m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | node47(c_p0, s1) | (~node53(c_p0, s1, s2))) <=> ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_waiting(c_p0, s2) | node47(c_p0, s1) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node53(c_p0, s1, s2)))),
% 50.68/33.34 inference(rewrite,[status(thm)],[])).
% 50.68/33.34 tff(20694,plain,
% 50.68/33.34 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | node47(c_p0, s1) | (~node53(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_waiting(c_p0, s2) | node47(c_p0, s1) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node53(c_p0, s1, s2))))),
% 50.68/33.34 inference(monotonicity,[status(thm)],[20693])).
% 50.68/33.34 tff(20695,plain,
% 50.68/33.34 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | node47(c_p0, s1) | (~node53(c_p0, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_waiting(c_p0, s2) | node47(c_p0, s1) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node53(c_p0, s1, s2)))),
% 50.68/33.34 inference(transitivity,[status(thm)],[20694, 20692])).
% 50.68/33.34 tff(20696,plain,
% 50.68/33.34 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s2) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | node47(c_p0, s1) | (~node53(c_p0, s1, s2)))),
% 50.68/33.34 inference(quant_inst,[status(thm)],[])).
% 50.68/33.34 tff(20697,plain,
% 50.68/33.34 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_waiting(c_p0, s2) | node47(c_p0, s1) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned)) | (~node53(c_p0, s1, s2))),
% 50.68/33.34 inference(modus_ponens,[status(thm)],[20696, 20695])).
% 50.68/33.34 tff(20698,plain,
% 50.68/33.34 ((~m_processor_v_master(c_p0, s1)) | m_processor_v_abort(c_p0, s1) | m_processor_v_waiting(c_p0, s2) | node47(c_p0, s1) | (~m_processor_v_CMD(c_p0, s1, c_read_h_owned))),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[20697, 640, 20217])).
% 50.68/33.34 tff(20699,plain,
% 50.68/33.34 (node47(c_p0, s1)),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[20698, 20691, 20207, 20237, 20591])).
% 50.68/33.34 tff(20700,plain,
% 50.68/33.34 (~m_processor_v_CMD(c_p0, s1, c_read_h_shared)),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[20525, 20591, 20207, 20237])).
% 50.68/33.34 tff(20701,plain,
% 50.68/33.34 ($false),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[20258, 657, 20700, 20699])).
% 50.68/33.34 tff(20702,plain,(m_processor_v_waiting(c_p0, s2) | m_processor_v_state(c_p0, s2, c_invalid) | m_processor_v_state(c_p0, s2, c_shared) | (~m_memory_v_busy(c_m, s2))), inference(lemma,lemma(discharge,[]))).
% 50.68/33.34 tff(20703,plain,
% 50.68/33.34 (m_processor_v_waiting(c_p0, s2)),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[20702, 20206, 20196, 20205])).
% 50.68/33.34 tff(20704,plain,
% 50.68/33.34 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p0, s2)) | m_processor_v_master(c_p0, s2) | m_processor_v_reply_h_waiting(c_p0, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s2)) | m_processor_v_master(c_p0, s2) | m_processor_v_reply_h_waiting(c_p0, s2))),
% 50.68/33.34 inference(rewrite,[status(thm)],[])).
% 50.68/33.34 tff(20705,plain,
% 50.68/33.34 ((m_processor_v_master(c_p0, s2) | (~m_processor_v_waiting(c_p0, s2)) | m_processor_v_reply_h_waiting(c_p0, s2)) <=> ((~m_processor_v_waiting(c_p0, s2)) | m_processor_v_master(c_p0, s2) | m_processor_v_reply_h_waiting(c_p0, s2))),
% 50.68/33.34 inference(rewrite,[status(thm)],[])).
% 50.68/33.34 tff(20706,plain,
% 50.68/33.34 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s2) | (~m_processor_v_waiting(c_p0, s2)) | m_processor_v_reply_h_waiting(c_p0, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p0, s2)) | m_processor_v_master(c_p0, s2) | m_processor_v_reply_h_waiting(c_p0, s2)))),
% 50.68/33.34 inference(monotonicity,[status(thm)],[20705])).
% 50.68/33.34 tff(20707,plain,
% 50.68/33.34 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s2) | (~m_processor_v_waiting(c_p0, s2)) | m_processor_v_reply_h_waiting(c_p0, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s2)) | m_processor_v_master(c_p0, s2) | m_processor_v_reply_h_waiting(c_p0, s2))),
% 50.68/33.34 inference(transitivity,[status(thm)],[20706, 20704])).
% 50.68/33.34 tff(20708,plain,
% 50.68/33.34 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s2) | (~m_processor_v_waiting(c_p0, s2)) | m_processor_v_reply_h_waiting(c_p0, s2))),
% 50.68/33.34 inference(quant_inst,[status(thm)],[])).
% 50.68/33.34 tff(20709,plain,
% 50.68/33.34 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s2)) | m_processor_v_master(c_p0, s2) | m_processor_v_reply_h_waiting(c_p0, s2)),
% 50.68/33.34 inference(modus_ponens,[status(thm)],[20708, 20707])).
% 50.68/33.34 tff(20710,plain,
% 50.68/33.34 ((~m_processor_v_waiting(c_p0, s2)) | m_processor_v_reply_h_waiting(c_p0, s2)),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[20709, 2296, 2622])).
% 50.68/33.34 tff(20711,plain,
% 50.68/33.34 (m_processor_v_reply_h_waiting(c_p0, s2)),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[20710, 20703])).
% 50.68/33.34 tff(20712,assumption,(node6(s2)), introduced(assumption)).
% 50.68/33.34 tff(20713,assumption,(m_processor_v_reply_h_waiting(c_p0, s2)), introduced(assumption)).
% 50.68/33.34 tff(20714,plain,
% 50.68/33.34 (((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | ((~node6(s2)) | (~m_processor_v_reply_h_waiting(c_p0, s2)))) <=> ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | (~node6(s2)) | (~m_processor_v_reply_h_waiting(c_p0, s2)))),
% 50.68/33.34 inference(rewrite,[status(thm)],[])).
% 50.68/33.34 tff(20715,plain,
% 50.68/33.34 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | ((~node6(s2)) | (~m_processor_v_reply_h_waiting(c_p0, s2)))),
% 50.68/33.34 inference(quant_inst,[status(thm)],[])).
% 50.68/33.34 tff(20716,plain,
% 50.68/33.34 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | (~node6(s2)) | (~m_processor_v_reply_h_waiting(c_p0, s2))),
% 50.68/33.34 inference(modus_ponens,[status(thm)],[20715, 20714])).
% 50.68/33.34 tff(20717,plain,
% 50.68/33.34 ($false),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[20716, 778, 20713, 20712])).
% 50.68/33.34 tff(20718,plain,((~m_processor_v_reply_h_waiting(c_p0, s2)) | (~node6(s2))), inference(lemma,lemma(discharge,[]))).
% 50.68/33.34 tff(20719,plain,
% 50.68/33.34 (~node6(s2)),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[20718, 20711])).
% 50.68/33.34 tff(20720,assumption,(~node6(s2)), introduced(assumption)).
% 50.68/33.34 tff(20721,plain,
% 50.68/33.34 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | (m_main_v_REPLY_h_WAITING(s2) | node6(s2))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | m_main_v_REPLY_h_WAITING(s2) | node6(s2))),
% 50.68/33.34 inference(rewrite,[status(thm)],[])).
% 50.68/33.34 tff(20722,plain,
% 50.68/33.34 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | (m_main_v_REPLY_h_WAITING(s2) | node6(s2))),
% 50.68/33.34 inference(quant_inst,[status(thm)],[])).
% 50.68/33.34 tff(20723,plain,
% 50.68/33.34 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | m_main_v_REPLY_h_WAITING(s2) | node6(s2)),
% 50.68/33.34 inference(modus_ponens,[status(thm)],[20722, 20721])).
% 50.68/33.34 tff(20724,plain,
% 50.68/33.34 ($false),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[20723, 760, 9343, 20720])).
% 50.68/33.34 tff(20725,plain,(m_main_v_REPLY_h_WAITING(s2) | node6(s2)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.34 tff(20726,plain,
% 50.68/33.34 (m_main_v_REPLY_h_WAITING(s2)),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[20725, 20719])).
% 50.68/33.34 tff(20727,plain,
% 50.68/33.34 (m_processor_v_REPLY_h_WAITING(c_p0, s2)),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[12384, 20726])).
% 50.68/33.34 tff(20728,plain,
% 50.68/33.34 (node60(c_p0, s2)),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[10475, 5500])).
% 50.68/33.34 tff(20729,plain,
% 50.68/33.34 (node59(c_p0, s2)),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[12378, 20728, 9342])).
% 50.68/33.34 tff(20730,assumption,(~node48(c_p0, s2)), introduced(assumption)).
% 50.68/33.34 tff(20731,assumption,(~node47(c_p0, s2)), introduced(assumption)).
% 50.68/33.34 tff(20732,plain,
% 50.68/33.34 (~m_processor_v_REPLY_h_STALL(c_p0, s2)),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[10468, 20728])).
% 50.68/33.34 tff(20733,plain,
% 50.68/33.34 (~m_main_v_REPLY_h_STALL(s2)),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[10461, 20732])).
% 50.68/33.34 tff(20734,plain,
% 50.68/33.34 (node7(s2)),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[9916, 20733])).
% 50.68/33.34 tff(20735,plain,
% 50.68/33.34 (~m_memory_v_reply_h_stall(c_m, s2)),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[9924, 20734])).
% 50.68/33.34 tff(20736,plain,
% 50.68/33.34 (~m_memory_v_REPLY_h_STALL(c_m, s2)),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[9940, 20733])).
% 50.68/33.34 tff(20737,plain,
% 50.68/33.34 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s2, c_read_h_shared) | (~node1(s2)) | (~m_memory_v_CMD(c_m, s2, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s2, c_read_h_shared) | (~node1(s2)) | (~m_memory_v_CMD(c_m, s2, c_read_h_shared)))),
% 50.68/33.34 inference(rewrite,[status(thm)],[])).
% 50.68/33.34 tff(20738,plain,
% 50.68/33.34 (((~node1(s2)) | m_main_v_CMD(s2, c_read_h_shared) | (~m_memory_v_CMD(c_m, s2, c_read_h_shared))) <=> (m_main_v_CMD(s2, c_read_h_shared) | (~node1(s2)) | (~m_memory_v_CMD(c_m, s2, c_read_h_shared)))),
% 50.68/33.34 inference(rewrite,[status(thm)],[])).
% 50.68/33.34 tff(20739,plain,
% 50.68/33.34 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s2)) | m_main_v_CMD(s2, c_read_h_shared) | (~m_memory_v_CMD(c_m, s2, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s2, c_read_h_shared) | (~node1(s2)) | (~m_memory_v_CMD(c_m, s2, c_read_h_shared))))),
% 50.68/33.34 inference(monotonicity,[status(thm)],[20738])).
% 50.68/33.34 tff(20740,plain,
% 50.68/33.34 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s2)) | m_main_v_CMD(s2, c_read_h_shared) | (~m_memory_v_CMD(c_m, s2, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s2, c_read_h_shared) | (~node1(s2)) | (~m_memory_v_CMD(c_m, s2, c_read_h_shared)))),
% 50.68/33.34 inference(transitivity,[status(thm)],[20739, 20737])).
% 50.68/33.34 tff(20741,plain,
% 50.68/33.34 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s2)) | m_main_v_CMD(s2, c_read_h_shared) | (~m_memory_v_CMD(c_m, s2, c_read_h_shared)))),
% 50.68/33.34 inference(quant_inst,[status(thm)],[])).
% 50.68/33.34 tff(20742,plain,
% 50.68/33.34 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s2, c_read_h_shared) | (~node1(s2)) | (~m_memory_v_CMD(c_m, s2, c_read_h_shared))),
% 50.68/33.34 inference(modus_ponens,[status(thm)],[20741, 20740])).
% 50.68/33.34 tff(20743,plain,
% 50.68/33.34 ($false),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[20742, 4693, 9894, 5301, 10340])).
% 50.68/33.34 tff(20744,plain,((~m_memory_v_CMD(c_m, s2, c_read_h_shared)) | m_main_v_CMD(s2, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.34 tff(20745,plain,
% 50.68/33.34 (~m_memory_v_CMD(c_m, s2, c_read_h_shared)),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[20744, 5301])).
% 50.68/33.34 tff(20746,assumption,(m_main_v_CMD(s2, c_idle)), introduced(assumption)).
% 50.68/33.34 tff(20747,plain,
% 50.68/33.34 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s2, c_idle)) | (~m_main_v_CMD(s2, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s2, c_idle)) | (~m_main_v_CMD(s2, c_write_h_resp_h_shared)))),
% 50.68/33.34 inference(rewrite,[status(thm)],[])).
% 50.68/33.34 tff(20748,plain,
% 50.68/33.34 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s2, c_idle)) | (~m_main_v_CMD(s2, c_write_h_resp_h_shared)))),
% 50.68/33.34 inference(quant_inst,[status(thm)],[])).
% 50.68/33.34 tff(20749,plain,
% 50.68/33.34 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s2, c_idle)) | (~m_main_v_CMD(s2, c_write_h_resp_h_shared))),
% 50.68/33.34 inference(modus_ponens,[status(thm)],[20748, 20747])).
% 50.68/33.34 tff(20750,plain,
% 50.68/33.34 (~m_main_v_CMD(s2, c_write_h_resp_h_shared)),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[20749, 7650, 20746])).
% 50.68/33.34 tff(20751,plain,
% 50.68/33.34 (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[11303, 20750])).
% 50.68/33.34 tff(20752,assumption,(node51(c_p0, s2)), introduced(assumption)).
% 50.68/33.34 tff(20753,plain,
% 50.68/33.34 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared) | (~node51(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared) | (~node51(c_p0, s2)))),
% 50.68/33.34 inference(rewrite,[status(thm)],[])).
% 50.68/33.34 tff(20754,plain,
% 50.68/33.34 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared) | (~node51(c_p0, s2)))),
% 50.68/33.34 inference(quant_inst,[status(thm)],[])).
% 50.68/33.34 tff(20755,plain,
% 50.68/33.34 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared) | (~node51(c_p0, s2))),
% 50.68/33.34 inference(modus_ponens,[status(thm)],[20754, 20753])).
% 50.68/33.34 tff(20756,plain,
% 50.68/33.34 ($false),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[20755, 11549, 11306, 20752])).
% 50.68/33.34 tff(20757,plain,((~node51(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.34 tff(20758,plain,
% 50.68/33.34 (~node51(c_p0, s2)),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[20757, 20751])).
% 50.68/33.34 tff(20759,assumption,(~node52(c_p0, s2, s3)), introduced(assumption)).
% 50.68/33.34 tff(20760,assumption,(~node51(c_p0, s2)), introduced(assumption)).
% 50.68/33.34 tff(20761,plain,
% 50.68/33.34 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s2, c_idle)) | (~m_main_v_CMD(s2, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s2, c_idle)) | (~m_main_v_CMD(s2, c_response)))),
% 50.68/33.34 inference(rewrite,[status(thm)],[])).
% 50.68/33.34 tff(20762,plain,
% 50.68/33.34 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s2, c_idle)) | (~m_main_v_CMD(s2, c_response)))),
% 50.68/33.34 inference(quant_inst,[status(thm)],[])).
% 50.68/33.34 tff(20763,plain,
% 50.68/33.34 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s2, c_idle)) | (~m_main_v_CMD(s2, c_response))),
% 50.68/33.34 inference(modus_ponens,[status(thm)],[20762, 20761])).
% 50.68/33.34 tff(20764,plain,
% 50.68/33.34 (~m_main_v_CMD(s2, c_response)),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[20763, 10097, 20746])).
% 50.68/33.34 tff(20765,plain,
% 50.68/33.34 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s2, c_response) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s2, c_response) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_response)))),
% 50.68/33.34 inference(rewrite,[status(thm)],[])).
% 50.68/33.34 tff(20766,plain,
% 50.68/33.34 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s2, c_response) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_response)))),
% 50.68/33.34 inference(quant_inst,[status(thm)],[])).
% 50.68/33.34 tff(20767,plain,
% 50.68/33.34 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s2, c_response) | (~node2(s2)) | (~m_processor_v_CMD(c_p0, s2, c_response))),
% 50.68/33.34 inference(modus_ponens,[status(thm)],[20766, 20765])).
% 50.68/33.34 tff(20768,plain,
% 50.68/33.34 (~m_processor_v_CMD(c_p0, s2, c_response)),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[20767, 1612, 5518, 20764])).
% 50.68/33.34 tff(20769,plain,
% 50.68/33.34 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | ((~node49(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_response))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_response))),
% 50.68/33.34 inference(rewrite,[status(thm)],[])).
% 50.68/33.34 tff(20770,plain,
% 50.68/33.34 ((m_processor_v_CMD(c_p0, s2, c_response) | (~node49(c_p0, s2))) <=> ((~node49(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_response))),
% 50.68/33.34 inference(rewrite,[status(thm)],[])).
% 50.68/33.34 tff(20771,plain,
% 50.68/33.34 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p0, s2, c_response) | (~node49(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | ((~node49(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_response)))),
% 50.68/33.34 inference(monotonicity,[status(thm)],[20770])).
% 50.68/33.34 tff(20772,plain,
% 50.68/33.34 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p0, s2, c_response) | (~node49(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_response))),
% 50.68/33.34 inference(transitivity,[status(thm)],[20771, 20769])).
% 50.68/33.34 tff(20773,plain,
% 50.68/33.34 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p0, s2, c_response) | (~node49(c_p0, s2)))),
% 50.68/33.34 inference(quant_inst,[status(thm)],[])).
% 50.68/33.34 tff(20774,plain,
% 50.68/33.34 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_response)),
% 50.68/33.34 inference(modus_ponens,[status(thm)],[20773, 20772])).
% 50.68/33.34 tff(20775,plain,
% 50.68/33.34 (~node49(c_p0, s2)),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[20774, 11579, 20768])).
% 50.68/33.34 tff(20776,plain,
% 50.68/33.34 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s2, c_idle)) | (~m_main_v_CMD(s2, c_write_h_resp_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s2, c_idle)) | (~m_main_v_CMD(s2, c_write_h_resp_h_invalid)))),
% 50.68/33.34 inference(rewrite,[status(thm)],[])).
% 50.68/33.34 tff(20777,plain,
% 50.68/33.34 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s2, c_idle)) | (~m_main_v_CMD(s2, c_write_h_resp_h_invalid)))),
% 50.68/33.34 inference(quant_inst,[status(thm)],[])).
% 50.68/33.34 tff(20778,plain,
% 50.68/33.34 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s2, c_idle)) | (~m_main_v_CMD(s2, c_write_h_resp_h_invalid))),
% 50.68/33.34 inference(modus_ponens,[status(thm)],[20777, 20776])).
% 50.68/33.34 tff(20779,plain,
% 50.68/33.34 (~m_main_v_CMD(s2, c_write_h_resp_h_invalid)),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[20778, 7663, 20746])).
% 50.68/33.34 tff(20780,plain,
% 50.68/33.34 (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[9188, 20779])).
% 50.68/33.34 tff(20781,plain,
% 50.68/33.34 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | (~node50(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | (~node50(c_p0, s2)))),
% 50.68/33.34 inference(rewrite,[status(thm)],[])).
% 50.68/33.34 tff(20782,plain,
% 50.68/33.34 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | (~node50(c_p0, s2)))),
% 50.68/33.34 inference(quant_inst,[status(thm)],[])).
% 50.68/33.34 tff(20783,plain,
% 50.68/33.34 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid) | (~node50(c_p0, s2))),
% 50.68/33.34 inference(modus_ponens,[status(thm)],[20782, 20781])).
% 50.68/33.34 tff(20784,plain,
% 50.68/33.34 (~node50(c_p0, s2)),
% 50.68/33.34 inference(unit_resolution,[status(thm)],[20783, 11598, 20780])).
% 50.68/33.34 tff(20785,plain,
% 50.68/33.34 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s2) | node48(c_p0, s2) | node51(c_p0, s2) | node47(c_p0, s2) | node49(c_p0, s2) | node50(c_p0, s2) | node52(c_p0, s2, s3) | (~node53(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p0, s2) | node48(c_p0, s2) | node51(c_p0, s2) | node47(c_p0, s2) | node49(c_p0, s2) | node50(c_p0, s2) | node52(c_p0, s2, s3) | (~node53(c_p0, s2, s3)))),
% 50.68/33.34 inference(rewrite,[status(thm)],[])).
% 50.68/33.34 tff(20786,plain,
% 50.68/33.34 ((m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | node48(c_p0, s2) | node49(c_p0, s2) | node50(c_p0, s2) | node51(c_p0, s2) | node52(c_p0, s2, s3) | (~node53(c_p0, s2, s3))) <=> (m_processor_v_abort(c_p0, s2) | node48(c_p0, s2) | node51(c_p0, s2) | node47(c_p0, s2) | node49(c_p0, s2) | node50(c_p0, s2) | node52(c_p0, s2, s3) | (~node53(c_p0, s2, s3)))),
% 50.68/33.34 inference(rewrite,[status(thm)],[])).
% 50.68/33.34 tff(20787,plain,
% 50.68/33.34 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | node48(c_p0, s2) | node49(c_p0, s2) | node50(c_p0, s2) | node51(c_p0, s2) | node52(c_p0, s2, s3) | (~node53(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s2) | node48(c_p0, s2) | node51(c_p0, s2) | node47(c_p0, s2) | node49(c_p0, s2) | node50(c_p0, s2) | node52(c_p0, s2, s3) | (~node53(c_p0, s2, s3))))),
% 50.68/33.34 inference(monotonicity,[status(thm)],[20786])).
% 50.68/33.34 tff(20788,plain,
% 50.68/33.34 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | node48(c_p0, s2) | node49(c_p0, s2) | node50(c_p0, s2) | node51(c_p0, s2) | node52(c_p0, s2, s3) | (~node53(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p0, s2) | node48(c_p0, s2) | node51(c_p0, s2) | node47(c_p0, s2) | node49(c_p0, s2) | node50(c_p0, s2) | node52(c_p0, s2, s3) | (~node53(c_p0, s2, s3)))),
% 50.68/33.34 inference(transitivity,[status(thm)],[20787, 20785])).
% 50.68/33.34 tff(20789,plain,
% 50.68/33.34 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | node48(c_p0, s2) | node49(c_p0, s2) | node50(c_p0, s2) | node51(c_p0, s2) | node52(c_p0, s2, s3) | (~node53(c_p0, s2, s3)))),
% 50.68/33.35 inference(quant_inst,[status(thm)],[])).
% 50.68/33.35 tff(20790,plain,
% 50.68/33.35 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p0, s2) | node48(c_p0, s2) | node51(c_p0, s2) | node47(c_p0, s2) | node49(c_p0, s2) | node50(c_p0, s2) | node52(c_p0, s2, s3) | (~node53(c_p0, s2, s3))),
% 50.68/33.35 inference(modus_ponens,[status(thm)],[20789, 20788])).
% 50.68/33.35 tff(20791,plain,
% 50.68/33.35 (m_processor_v_abort(c_p0, s2) | node48(c_p0, s2) | node51(c_p0, s2) | node47(c_p0, s2) | node49(c_p0, s2) | node50(c_p0, s2) | node52(c_p0, s2, s3)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[20790, 11612, 5505])).
% 50.68/33.35 tff(20792,plain,
% 50.68/33.35 ($false),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[20791, 20784, 20775, 20730, 20731, 5500, 20760, 20759])).
% 50.68/33.35 tff(20793,plain,((~m_main_v_CMD(s2, c_idle)) | node48(c_p0, s2) | node47(c_p0, s2) | m_processor_v_abort(c_p0, s2) | node51(c_p0, s2) | node52(c_p0, s2, s3)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.35 tff(20794,plain,
% 50.68/33.35 (node52(c_p0, s2, s3)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[20793, 20758, 20731, 5500, 20730, 20746])).
% 50.68/33.35 tff(20795,assumption,(node52(c_p0, s2, s3)), introduced(assumption)).
% 50.68/33.35 tff(20796,assumption,(m_processor_v_waiting(c_p0, s2)), introduced(assumption)).
% 50.68/33.35 tff(20797,plain,
% 50.68/33.35 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s2)) | m_processor_v_waiting(c_p0, s3) | (~node52(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s2)) | m_processor_v_waiting(c_p0, s3) | (~node52(c_p0, s2, s3)))),
% 50.68/33.35 inference(rewrite,[status(thm)],[])).
% 50.68/33.35 tff(20798,plain,
% 50.68/33.35 ((m_processor_v_waiting(c_p0, s3) | (~m_processor_v_waiting(c_p0, s2)) | (~node52(c_p0, s2, s3))) <=> ((~m_processor_v_waiting(c_p0, s2)) | m_processor_v_waiting(c_p0, s3) | (~node52(c_p0, s2, s3)))),
% 50.68/33.35 inference(rewrite,[status(thm)],[])).
% 50.68/33.35 tff(20799,plain,
% 50.68/33.35 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s3) | (~m_processor_v_waiting(c_p0, s2)) | (~node52(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s2)) | m_processor_v_waiting(c_p0, s3) | (~node52(c_p0, s2, s3))))),
% 50.68/33.35 inference(monotonicity,[status(thm)],[20798])).
% 50.68/33.35 tff(20800,plain,
% 50.68/33.35 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s3) | (~m_processor_v_waiting(c_p0, s2)) | (~node52(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s2)) | m_processor_v_waiting(c_p0, s3) | (~node52(c_p0, s2, s3)))),
% 50.68/33.35 inference(transitivity,[status(thm)],[20799, 20797])).
% 50.68/33.35 tff(20801,plain,
% 50.68/33.35 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s3) | (~m_processor_v_waiting(c_p0, s2)) | (~node52(c_p0, s2, s3)))),
% 50.68/33.35 inference(quant_inst,[status(thm)],[])).
% 50.68/33.35 tff(20802,plain,
% 50.68/33.35 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s2)) | m_processor_v_waiting(c_p0, s3) | (~node52(c_p0, s2, s3))),
% 50.68/33.35 inference(modus_ponens,[status(thm)],[20801, 20800])).
% 50.68/33.35 tff(20803,plain,
% 50.68/33.35 ($false),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[20802, 10820, 20796, 5501, 20795])).
% 50.68/33.35 tff(20804,plain,((~node52(c_p0, s2, s3)) | (~m_processor_v_waiting(c_p0, s2)) | m_processor_v_waiting(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.35 tff(20805,plain,
% 50.68/33.35 (~m_processor_v_waiting(c_p0, s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[20804, 20794, 5501])).
% 50.68/33.35 tff(20806,plain,
% 50.68/33.35 (~m_main_v_CMD(s2, c_read_h_owned)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[16539, 1971, 20746])).
% 50.68/33.35 tff(20807,plain,
% 50.68/33.35 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s2, c_read_h_owned) | (~node1(s2)) | (~m_memory_v_CMD(c_m, s2, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s2, c_read_h_owned) | (~node1(s2)) | (~m_memory_v_CMD(c_m, s2, c_read_h_owned)))),
% 50.68/33.35 inference(rewrite,[status(thm)],[])).
% 50.68/33.35 tff(20808,plain,
% 50.68/33.35 (((~node1(s2)) | m_main_v_CMD(s2, c_read_h_owned) | (~m_memory_v_CMD(c_m, s2, c_read_h_owned))) <=> (m_main_v_CMD(s2, c_read_h_owned) | (~node1(s2)) | (~m_memory_v_CMD(c_m, s2, c_read_h_owned)))),
% 50.68/33.35 inference(rewrite,[status(thm)],[])).
% 50.68/33.35 tff(20809,plain,
% 50.68/33.35 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s2)) | m_main_v_CMD(s2, c_read_h_owned) | (~m_memory_v_CMD(c_m, s2, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s2, c_read_h_owned) | (~node1(s2)) | (~m_memory_v_CMD(c_m, s2, c_read_h_owned))))),
% 50.68/33.35 inference(monotonicity,[status(thm)],[20808])).
% 50.68/33.35 tff(20810,plain,
% 50.68/33.35 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s2)) | m_main_v_CMD(s2, c_read_h_owned) | (~m_memory_v_CMD(c_m, s2, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s2, c_read_h_owned) | (~node1(s2)) | (~m_memory_v_CMD(c_m, s2, c_read_h_owned)))),
% 50.68/33.35 inference(transitivity,[status(thm)],[20809, 20807])).
% 50.68/33.35 tff(20811,plain,
% 50.68/33.35 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s2)) | m_main_v_CMD(s2, c_read_h_owned) | (~m_memory_v_CMD(c_m, s2, c_read_h_owned)))),
% 50.68/33.35 inference(quant_inst,[status(thm)],[])).
% 50.68/33.35 tff(20812,plain,
% 50.68/33.35 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s2, c_read_h_owned) | (~node1(s2)) | (~m_memory_v_CMD(c_m, s2, c_read_h_owned))),
% 50.68/33.35 inference(modus_ponens,[status(thm)],[20811, 20810])).
% 50.68/33.35 tff(20813,plain,
% 50.68/33.35 ($false),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[20812, 4693, 9894, 5133, 9902])).
% 50.68/33.35 tff(20814,plain,(m_main_v_CMD(s2, c_read_h_owned) | (~m_memory_v_CMD(c_m, s2, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 50.68/33.35 tff(20815,plain,
% 50.68/33.35 (~m_memory_v_CMD(c_m, s2, c_read_h_owned)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[20814, 20806])).
% 50.68/33.35 tff(20816,plain,
% 50.68/33.35 (~m_memory_v_abort(c_m, s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[17587, 20815, 10347, 20736])).
% 50.68/33.35 tff(20817,plain,
% 50.68/33.35 (~node19(c_m, s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[10449, 20816, 9858])).
% 50.68/33.35 tff(20818,plain,
% 50.68/33.35 (m_memory_v_busy(c_m, s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[10424, 20817, 9858, 10357])).
% 50.68/33.35 tff(20819,plain,
% 50.68/33.35 ($false),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[20702, 20818, 20805, 2668, 3847])).
% 50.68/33.35 tff(20820,plain,((~m_main_v_CMD(s2, c_idle)) | m_processor_v_state(c_p0, s2, c_shared) | m_processor_v_state(c_p0, s2, c_invalid) | (~m_memory_v_busy(c_m, s3)) | (~m_memory_v_REPLY_h_OWNED(c_m, s2)) | m_processor_v_waiting(c_p0, s3) | node47(c_p0, s2) | m_processor_v_abort(c_p0, s2) | node48(c_p0, s2) | m_memory_v_CMD(c_m, s2, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.35 tff(20821,plain,
% 50.68/33.35 (~m_main_v_CMD(s2, c_idle)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[20820, 5500, 3847, 9858, 10357, 5501, 20731, 2668, 20730, 20745])).
% 50.68/33.35 tff(20822,plain,
% 50.68/33.35 (~m_memory_v_cmd(c_m, s2, c_idle)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[16595, 16545, 5322, 5142])).
% 50.68/33.35 tff(20823,plain,
% 50.68/33.35 (node29(c_m, s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[5195, 20822])).
% 50.68/33.35 tff(20824,plain,
% 50.68/33.35 (m_memory_v_master(c_m, s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[5187, 20823])).
% 50.68/33.35 tff(20825,plain,
% 50.68/33.35 (m_main_v_CMD(s2, c_idle) | (~node8(s2))),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[16563, 1669, 5322])).
% 50.68/33.35 tff(20826,plain,
% 50.68/33.35 (~node8(s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[20825, 16545])).
% 50.68/33.35 tff(20827,plain,
% 50.68/33.35 (m_processor_v_cmd(c_p2, s2, c_idle)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[5260, 5209])).
% 50.68/33.35 tff(20828,plain,
% 50.68/33.35 (~m_memory_v_cmd(c_m, s2, c_idle)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[5594, 20827, 5566, 5142])).
% 50.68/33.35 tff(20829,plain,
% 50.68/33.35 (node29(c_m, s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[5195, 20828])).
% 50.68/33.35 tff(20830,plain,
% 50.68/33.35 (m_memory_v_master(c_m, s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[5187, 20829])).
% 50.68/33.35 tff(20831,plain,
% 50.68/33.35 (m_memory_v_busy(c_m, s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[17608, 2072, 20829])).
% 50.68/33.35 tff(20832,plain,
% 50.68/33.35 (node30(c_m, s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[9931, 4819, 9928, 20831])).
% 50.68/33.35 tff(20833,plain,
% 50.68/33.35 (~m_memory_v_CMD(c_m, s2, c_read_h_owned)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[9907, 20832])).
% 50.68/33.35 tff(20834,plain,
% 50.68/33.35 (~m_memory_v_abort(c_m, s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[17587, 20833, 9970, 10347])).
% 50.68/33.35 tff(20835,plain,
% 50.68/33.35 (~m_memory_v_CMD(c_m, s2, c_response)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[10443, 20834, 9858, 20830])).
% 50.68/33.35 tff(20836,plain,
% 50.68/33.35 (((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s2, c_idle) | (~m_memory_v_master(c_m, s2)) | m_memory_v_cmd(c_m, s2, c_response) | (~m_memory_v_busy(c_m, s2)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | m_memory_v_cmd(c_m, s2, c_idle) | (~m_memory_v_master(c_m, s2)) | m_memory_v_cmd(c_m, s2, c_response) | (~m_memory_v_busy(c_m, s2)))),
% 50.68/33.35 inference(rewrite,[status(thm)],[])).
% 50.68/33.35 tff(20837,plain,
% 50.68/33.35 ((m_memory_v_cmd(c_m, s2, c_response) | m_memory_v_cmd(c_m, s2, c_idle) | (~m_memory_v_busy(c_m, s2)) | (~m_memory_v_master(c_m, s2))) <=> (m_memory_v_cmd(c_m, s2, c_idle) | (~m_memory_v_master(c_m, s2)) | m_memory_v_cmd(c_m, s2, c_response) | (~m_memory_v_busy(c_m, s2)))),
% 50.68/33.35 inference(rewrite,[status(thm)],[])).
% 50.68/33.35 tff(20838,plain,
% 50.68/33.35 (((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s2, c_response) | m_memory_v_cmd(c_m, s2, c_idle) | (~m_memory_v_busy(c_m, s2)) | (~m_memory_v_master(c_m, s2)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s2, c_idle) | (~m_memory_v_master(c_m, s2)) | m_memory_v_cmd(c_m, s2, c_response) | (~m_memory_v_busy(c_m, s2))))),
% 50.68/33.35 inference(monotonicity,[status(thm)],[20837])).
% 50.68/33.35 tff(20839,plain,
% 50.68/33.35 (((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s2, c_response) | m_memory_v_cmd(c_m, s2, c_idle) | (~m_memory_v_busy(c_m, s2)) | (~m_memory_v_master(c_m, s2)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | m_memory_v_cmd(c_m, s2, c_idle) | (~m_memory_v_master(c_m, s2)) | m_memory_v_cmd(c_m, s2, c_response) | (~m_memory_v_busy(c_m, s2)))),
% 50.68/33.35 inference(transitivity,[status(thm)],[20838, 20836])).
% 50.68/33.35 tff(20840,plain,
% 50.68/33.35 ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s2, c_response) | m_memory_v_cmd(c_m, s2, c_idle) | (~m_memory_v_busy(c_m, s2)) | (~m_memory_v_master(c_m, s2)))),
% 50.68/33.35 inference(quant_inst,[status(thm)],[])).
% 50.68/33.35 tff(20841,plain,
% 50.68/33.35 ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | m_memory_v_cmd(c_m, s2, c_idle) | (~m_memory_v_master(c_m, s2)) | m_memory_v_cmd(c_m, s2, c_response) | (~m_memory_v_busy(c_m, s2))),
% 50.68/33.35 inference(modus_ponens,[status(thm)],[20840, 20839])).
% 50.68/33.35 tff(20842,plain,
% 50.68/33.35 (m_memory_v_cmd(c_m, s2, c_response) | (~m_memory_v_busy(c_m, s2))),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[20841, 2089, 20828, 20830])).
% 50.68/33.35 tff(20843,plain,
% 50.68/33.35 (m_memory_v_cmd(c_m, s2, c_response)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[20842, 20831])).
% 50.68/33.35 tff(20844,plain,
% 50.68/33.35 (~node9(s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[16578, 5142, 5566])).
% 50.68/33.35 tff(20845,plain,
% 50.68/33.35 (((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | (m_memory_v_cmd(c_m, s2, c_idle) | (~node13(s2)))) <=> ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | m_memory_v_cmd(c_m, s2, c_idle) | (~node13(s2)))),
% 50.68/33.35 inference(rewrite,[status(thm)],[])).
% 50.68/33.35 tff(20846,plain,
% 50.68/33.35 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | (m_memory_v_cmd(c_m, s2, c_idle) | (~node13(s2)))),
% 50.68/33.35 inference(quant_inst,[status(thm)],[])).
% 50.68/33.35 tff(20847,plain,
% 50.68/33.35 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | m_memory_v_cmd(c_m, s2, c_idle) | (~node13(s2))),
% 50.68/33.35 inference(modus_ponens,[status(thm)],[20846, 20845])).
% 50.68/33.35 tff(20848,plain,
% 50.68/33.35 (~node13(s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[20847, 1986, 5190])).
% 50.68/33.35 tff(20849,assumption,(~node9(s2)), introduced(assumption)).
% 50.68/33.35 tff(20850,assumption,(~node14(s2)), introduced(assumption)).
% 50.68/33.35 tff(20851,plain,
% 50.68/33.35 (((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | (m_memory_v_cmd(c_m, s2, c_idle) | (~node11(s2)))) <=> ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | m_memory_v_cmd(c_m, s2, c_idle) | (~node11(s2)))),
% 50.68/33.35 inference(rewrite,[status(thm)],[])).
% 50.68/33.35 tff(20852,plain,
% 50.68/33.35 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | (m_memory_v_cmd(c_m, s2, c_idle) | (~node11(s2)))),
% 50.68/33.35 inference(quant_inst,[status(thm)],[])).
% 50.68/33.35 tff(20853,plain,
% 50.68/33.35 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | m_memory_v_cmd(c_m, s2, c_idle) | (~node11(s2))),
% 50.68/33.35 inference(modus_ponens,[status(thm)],[20852, 20851])).
% 50.68/33.35 tff(20854,plain,
% 50.68/33.35 (~node11(s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[20853, 2031, 5190])).
% 50.68/33.35 tff(20855,plain,
% 50.68/33.35 (((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | ((~m_processor_v_cmd(c_p0, s2, c_idle)) | node9(s2) | node14(s2) | node11(s2) | node13(s2) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s2, c_idle)) | node9(s2) | node14(s2) | node11(s2) | node13(s2) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)))),
% 50.68/33.35 inference(rewrite,[status(thm)],[])).
% 50.68/33.35 tff(20856,plain,
% 50.68/33.35 ((node9(s2) | node11(s2) | node13(s2) | node14(s2) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_processor_v_cmd(c_p0, s2, c_idle))) <=> ((~m_processor_v_cmd(c_p0, s2, c_idle)) | node9(s2) | node14(s2) | node11(s2) | node13(s2) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)))),
% 50.68/33.35 inference(rewrite,[status(thm)],[])).
% 50.68/33.35 tff(20857,plain,
% 50.68/33.35 (((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s2) | node11(s2) | node13(s2) | node14(s2) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_processor_v_cmd(c_p0, s2, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | ((~m_processor_v_cmd(c_p0, s2, c_idle)) | node9(s2) | node14(s2) | node11(s2) | node13(s2) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle))))),
% 50.68/33.35 inference(monotonicity,[status(thm)],[20856])).
% 50.68/33.35 tff(20858,plain,
% 50.68/33.35 (((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s2) | node11(s2) | node13(s2) | node14(s2) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_processor_v_cmd(c_p0, s2, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s2, c_idle)) | node9(s2) | node14(s2) | node11(s2) | node13(s2) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)))),
% 50.68/33.35 inference(transitivity,[status(thm)],[20857, 20855])).
% 50.68/33.35 tff(20859,plain,
% 50.68/33.35 ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s2) | node11(s2) | node13(s2) | node14(s2) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_processor_v_cmd(c_p0, s2, c_idle)))),
% 50.68/33.35 inference(quant_inst,[status(thm)],[])).
% 50.68/33.35 tff(20860,plain,
% 50.68/33.35 ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s2, c_idle)) | node9(s2) | node14(s2) | node11(s2) | node13(s2) | (~m_processor_v_cmd(c_p2, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle))),
% 50.68/33.35 inference(modus_ponens,[status(thm)],[20859, 20858])).
% 50.68/33.35 tff(20861,plain,
% 50.68/33.35 (node9(s2) | node14(s2) | node11(s2) | node13(s2) | (~m_processor_v_cmd(c_p2, s2, c_idle))),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[20860, 2014, 5322, 5142])).
% 50.68/33.35 tff(20862,plain,
% 50.68/33.35 (~m_processor_v_cmd(c_p2, s2, c_idle)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[20861, 20854, 20850, 20849, 20848])).
% 50.68/33.35 tff(20863,plain,
% 50.68/33.35 (node66(c_p2, s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[5256, 1508, 5250, 5249, 5248, 5247, 20862])).
% 50.68/33.35 tff(20864,plain,
% 50.68/33.35 (m_processor_v_master(c_p2, s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[5235, 1446, 20863])).
% 50.68/33.35 tff(20865,plain,
% 50.68/33.35 (node29(c_m, s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[5193, 1320, 5190])).
% 50.68/33.35 tff(20866,plain,
% 50.68/33.35 (m_memory_v_master(c_m, s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[5185, 1305, 20865])).
% 50.68/33.35 tff(20867,plain,
% 50.68/33.35 (node17(s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[5177, 1290, 20866])).
% 50.68/33.35 tff(20868,plain,
% 50.68/33.35 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~node17(s2)) | (~m_processor_v_master(c_p2, s2)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s2)) | (~m_processor_v_master(c_p2, s2)))),
% 50.68/33.35 inference(rewrite,[status(thm)],[])).
% 50.68/33.35 tff(20869,plain,
% 50.68/33.35 (((~m_processor_v_master(c_p2, s2)) | (~node17(s2))) <=> ((~node17(s2)) | (~m_processor_v_master(c_p2, s2)))),
% 50.68/33.35 inference(rewrite,[status(thm)],[])).
% 50.68/33.35 tff(20870,plain,
% 50.68/33.35 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s2)) | (~node17(s2)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~node17(s2)) | (~m_processor_v_master(c_p2, s2))))),
% 50.68/33.35 inference(monotonicity,[status(thm)],[20869])).
% 50.68/33.35 tff(20871,plain,
% 50.68/33.35 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s2)) | (~node17(s2)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s2)) | (~m_processor_v_master(c_p2, s2)))),
% 50.68/33.35 inference(transitivity,[status(thm)],[20870, 20868])).
% 50.68/33.35 tff(20872,plain,
% 50.68/33.35 ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s2)) | (~node17(s2)))),
% 50.68/33.35 inference(quant_inst,[status(thm)],[])).
% 50.68/33.35 tff(20873,plain,
% 50.68/33.35 ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s2)) | (~m_processor_v_master(c_p2, s2))),
% 50.68/33.35 inference(modus_ponens,[status(thm)],[20872, 20871])).
% 50.68/33.35 tff(20874,plain,
% 50.68/33.35 ($false),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[20873, 2106, 20867, 20864])).
% 50.68/33.35 tff(20875,plain,(m_memory_v_cmd(c_m, s2, c_idle) | node64(c_p2, s2) | node63(c_p2, s2) | node62(c_p2, s2) | node65(c_p2, s2) | node14(s2) | node9(s2) | (~m_processor_v_cmd(c_p0, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.68/33.35 tff(20876,plain,
% 50.68/33.35 (node14(s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[20875, 20828, 8992, 5142, 5223, 5216, 20844, 5230, 5245])).
% 50.68/33.35 tff(20877,plain,
% 50.68/33.35 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s2, c_response) | (~m_memory_v_cmd(c_m, s2, c_response)) | (~node14(s2)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | m_main_v_CMD(s2, c_response) | (~m_memory_v_cmd(c_m, s2, c_response)) | (~node14(s2)))),
% 50.68/33.35 inference(rewrite,[status(thm)],[])).
% 50.68/33.35 tff(20878,plain,
% 50.68/33.35 ((m_main_v_CMD(s2, c_response) | (~node14(s2)) | (~m_memory_v_cmd(c_m, s2, c_response))) <=> (m_main_v_CMD(s2, c_response) | (~m_memory_v_cmd(c_m, s2, c_response)) | (~node14(s2)))),
% 50.68/33.35 inference(rewrite,[status(thm)],[])).
% 50.68/33.35 tff(20879,plain,
% 50.68/33.35 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s2, c_response) | (~node14(s2)) | (~m_memory_v_cmd(c_m, s2, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s2, c_response) | (~m_memory_v_cmd(c_m, s2, c_response)) | (~node14(s2))))),
% 50.68/33.35 inference(monotonicity,[status(thm)],[20878])).
% 50.68/33.35 tff(20880,plain,
% 50.68/33.35 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s2, c_response) | (~node14(s2)) | (~m_memory_v_cmd(c_m, s2, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | m_main_v_CMD(s2, c_response) | (~m_memory_v_cmd(c_m, s2, c_response)) | (~node14(s2)))),
% 50.68/33.35 inference(transitivity,[status(thm)],[20879, 20877])).
% 50.68/33.35 tff(20881,plain,
% 50.68/33.35 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s2, c_response) | (~node14(s2)) | (~m_memory_v_cmd(c_m, s2, c_response)))),
% 50.68/33.35 inference(quant_inst,[status(thm)],[])).
% 50.68/33.35 tff(20882,plain,
% 50.68/33.35 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | m_main_v_CMD(s2, c_response) | (~m_memory_v_cmd(c_m, s2, c_response)) | (~node14(s2))),
% 50.68/33.35 inference(modus_ponens,[status(thm)],[20881, 20880])).
% 50.68/33.35 tff(20883,plain,
% 50.68/33.35 (m_main_v_CMD(s2, c_response)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[20882, 8342, 20876, 20843])).
% 50.68/33.35 tff(20884,plain,
% 50.68/33.35 (((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s2)) | (~m_main_v_CMD(s2, c_response)) | m_memory_v_CMD(c_m, s2, c_response))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s2)) | (~m_main_v_CMD(s2, c_response)) | m_memory_v_CMD(c_m, s2, c_response))),
% 50.68/33.35 inference(rewrite,[status(thm)],[])).
% 50.68/33.35 tff(20885,plain,
% 50.68/33.35 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s2)) | (~m_main_v_CMD(s2, c_response)) | m_memory_v_CMD(c_m, s2, c_response))),
% 50.68/33.35 inference(quant_inst,[status(thm)],[])).
% 50.68/33.35 tff(20886,plain,
% 50.68/33.35 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s2)) | (~m_main_v_CMD(s2, c_response)) | m_memory_v_CMD(c_m, s2, c_response)),
% 50.68/33.35 inference(modus_ponens,[status(thm)],[20885, 20884])).
% 50.68/33.35 tff(20887,plain,
% 50.68/33.35 ($false),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[20886, 4207, 9894, 20883, 20835])).
% 50.68/33.35 tff(20888,plain,(m_processor_v_master(c_p2, s2) | (~m_memory_v_busy(c_m, s3)) | m_memory_v_REPLY_h_STALL(c_m, s2) | m_memory_v_CMD(c_m, s2, c_read_h_shared) | m_memory_v_reply_h_stall(c_m, s2) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | node8(s2)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.35 tff(20889,plain,
% 50.68/33.35 (m_processor_v_master(c_p2, s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[20888, 20826, 9858, 5142, 10347, 9970, 9928])).
% 50.68/33.35 tff(20890,plain,
% 50.68/33.35 ($false),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[20873, 2106, 5166, 5201])).
% 50.68/33.35 tff(20891,plain,((~node17(s2)) | (~m_processor_v_master(c_p2, s2))), inference(lemma,lemma(discharge,[]))).
% 50.68/33.35 tff(20892,plain,
% 50.68/33.35 (~node17(s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[20891, 20889])).
% 50.68/33.35 tff(20893,plain,
% 50.68/33.35 ($false),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[5179, 20892, 20824])).
% 50.68/33.35 tff(20894,plain,(m_main_v_CMD(s2, c_idle) | (~m_memory_v_busy(c_m, s3)) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | m_memory_v_CMD(c_m, s2, c_read_h_shared) | m_memory_v_REPLY_h_STALL(c_m, s2) | m_memory_v_reply_h_stall(c_m, s2) | (~m_processor_v_cmd(c_p0, s2, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.68/33.35 tff(20895,plain,
% 50.68/33.35 (~m_processor_v_cmd(c_p1, s2, c_idle)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[20894, 20821, 9858, 20745, 20736, 20735, 5322])).
% 50.68/33.35 tff(20896,plain,
% 50.68/33.35 (m_processor_v_state(c_p1, s2, c_invalid)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[5074, 3847])).
% 50.68/33.35 tff(20897,plain,
% 50.68/33.35 (~node8(s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[20825, 20821])).
% 50.68/33.35 tff(20898,plain,
% 50.68/33.35 (~m_processor_v_REPLY_h_STALL(c_p0, s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[10468, 10463])).
% 50.68/33.35 tff(20899,plain,
% 50.68/33.35 (~m_main_v_REPLY_h_STALL(s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[10461, 20898])).
% 50.68/33.35 tff(20900,plain,
% 50.68/33.35 (~m_processor_v_REPLY_h_STALL(c_p1, s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[12354, 20899])).
% 50.68/33.35 tff(20901,plain,
% 50.68/33.35 (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[8791, 5301])).
% 50.68/33.35 tff(20902,plain,
% 50.68/33.35 (node10(s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[8997, 5151, 5566])).
% 50.68/33.35 tff(20903,plain,
% 50.68/33.35 (~node34(c_p1, s2, s3)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[11778, 20902, 5076, 5656, 20901, 5151])).
% 50.68/33.35 tff(20904,plain,
% 50.68/33.35 (m_processor_v_abort(c_p1, s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[5271, 20903, 5151])).
% 50.68/33.35 tff(20905,plain,
% 50.68/33.35 (node61(c_p1, s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[12401, 1417, 20904, 20900])).
% 50.68/33.35 tff(20906,plain,
% 50.68/33.35 (m_processor_v_REPLY_h_WAITING(c_p1, s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[12393, 1891, 20905])).
% 50.68/33.35 tff(20907,plain,
% 50.68/33.35 (m_main_v_REPLY_h_WAITING(s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[12389, 7866, 20906])).
% 50.68/33.35 tff(20908,plain,
% 50.68/33.35 (m_processor_v_REPLY_h_WAITING(c_p0, s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[12384, 20907])).
% 50.68/33.35 tff(20909,plain,
% 50.68/33.35 (node59(c_p0, s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[12378, 20908, 10463])).
% 50.68/33.35 tff(20910,plain,
% 50.68/33.35 (~node10(s2)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[5320, 5151, 5076, 5133, 5301])).
% 50.68/33.35 tff(20911,plain,
% 50.68/33.35 ($false),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[8997, 20910, 5151, 5566])).
% 50.68/33.35 tff(20912,plain,((~m_processor_v_master(c_p1, s2)) | node8(s2) | (~m_processor_v_state(c_p1, s2, c_invalid)) | m_main_v_CMD(s2, c_read_h_owned) | m_main_v_CMD(s2, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.35 tff(20913,plain,
% 50.68/33.35 (m_main_v_CMD(s2, c_read_h_owned)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[20912, 5151, 5301, 5566, 5076])).
% 50.68/33.35 tff(20914,plain,
% 50.68/33.35 (m_processor_v_CMD(c_p0, s2, c_read_h_owned)),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[5645, 20913])).
% 50.68/33.35 tff(20915,plain,
% 50.68/33.35 ($false),
% 50.68/33.35 inference(unit_resolution,[status(thm)],[19646, 707, 20914, 20909])).
% 50.68/33.35 tff(20916,plain,((~m_processor_v_master(c_p1, s2)) | (~node60(c_p0, s2)) | (~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_state(c_p1, s3, c_owned) | m_main_v_CMD(s2, c_read_h_shared) | node8(s2)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.35 tff(20917,plain,
% 50.68/33.36 (~m_processor_v_master(c_p1, s2)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[20916, 20897, 5656, 5301, 20728, 20896])).
% 50.68/33.36 tff(20918,plain,
% 50.68/33.36 ($false),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[5564, 20917, 20895])).
% 50.68/33.36 tff(20919,plain,(m_processor_v_abort(c_p0, s2) | m_processor_v_state(c_p1, s3, c_owned) | m_main_v_CMD(s2, c_read_h_shared) | (~m_memory_v_busy(c_m, s3)) | (~m_processor_v_cmd(c_p0, s2, c_idle)) | m_processor_v_state(c_p0, s2, c_invalid) | (~m_memory_v_REPLY_h_OWNED(c_m, s2)) | m_processor_v_waiting(c_p0, s3) | node47(c_p0, s2) | m_processor_v_state(c_p0, s2, c_shared) | node48(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.36 tff(20920,plain,
% 50.68/33.36 (m_main_v_CMD(s2, c_read_h_shared)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[20919, 5500, 5656, 9858, 5322, 3847, 10357, 5501, 20731, 2668, 20730])).
% 50.68/33.36 tff(20921,plain,
% 50.68/33.36 (m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[5526, 20920])).
% 50.68/33.36 tff(20922,plain,
% 50.68/33.36 ($false),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[12368, 20921, 20729])).
% 50.68/33.36 tff(20923,plain,(m_processor_v_abort(c_p0, s2) | (~m_processor_v_REPLY_h_WAITING(c_p0, s2)) | m_processor_v_state(c_p1, s3, c_owned) | (~m_memory_v_busy(c_m, s3)) | (~m_processor_v_cmd(c_p0, s2, c_idle)) | m_processor_v_state(c_p0, s2, c_invalid) | (~m_memory_v_REPLY_h_OWNED(c_m, s2)) | m_processor_v_waiting(c_p0, s3) | node47(c_p0, s2) | m_processor_v_state(c_p0, s2, c_shared) | node48(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.36 tff(20924,plain,
% 50.68/33.36 (m_processor_v_abort(c_p0, s2)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[20923, 20727, 5656, 9858, 16547, 20205, 20204, 5501, 20200, 20196, 20194])).
% 50.68/33.36 tff(20925,plain,
% 50.68/33.36 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s2)) | (~node53(c_p0, s2, s3)) | node46(c_p0, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s2)) | (~node53(c_p0, s2, s3)) | node46(c_p0, s2, s3))),
% 50.68/33.36 inference(rewrite,[status(thm)],[])).
% 50.68/33.36 tff(20926,plain,
% 50.68/33.36 (((~m_processor_v_abort(c_p0, s2)) | node46(c_p0, s2, s3) | (~node53(c_p0, s2, s3))) <=> ((~m_processor_v_abort(c_p0, s2)) | (~node53(c_p0, s2, s3)) | node46(c_p0, s2, s3))),
% 50.68/33.36 inference(rewrite,[status(thm)],[])).
% 50.68/33.36 tff(20927,plain,
% 50.68/33.36 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s2)) | node46(c_p0, s2, s3) | (~node53(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s2)) | (~node53(c_p0, s2, s3)) | node46(c_p0, s2, s3)))),
% 50.68/33.36 inference(monotonicity,[status(thm)],[20926])).
% 50.68/33.36 tff(20928,plain,
% 50.68/33.36 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s2)) | node46(c_p0, s2, s3) | (~node53(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s2)) | (~node53(c_p0, s2, s3)) | node46(c_p0, s2, s3))),
% 50.68/33.36 inference(transitivity,[status(thm)],[20927, 20925])).
% 50.68/33.36 tff(20929,plain,
% 50.68/33.36 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s2)) | node46(c_p0, s2, s3) | (~node53(c_p0, s2, s3)))),
% 50.68/33.36 inference(quant_inst,[status(thm)],[])).
% 50.68/33.36 tff(20930,plain,
% 50.68/33.36 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s2)) | (~node53(c_p0, s2, s3)) | node46(c_p0, s2, s3)),
% 50.68/33.36 inference(modus_ponens,[status(thm)],[20929, 20928])).
% 50.68/33.36 tff(20931,plain,
% 50.68/33.36 ((~m_processor_v_abort(c_p0, s2)) | node46(c_p0, s2, s3)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[20930, 11690, 5505])).
% 50.68/33.36 tff(20932,plain,
% 50.68/33.36 (node46(c_p0, s2, s3)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[20931, 20924])).
% 50.68/33.36 tff(20933,plain,
% 50.68/33.36 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s2)) | m_processor_v_waiting(c_p0, s3) | (~node46(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s2)) | m_processor_v_waiting(c_p0, s3) | (~node46(c_p0, s2, s3)))),
% 50.68/33.36 inference(rewrite,[status(thm)],[])).
% 50.68/33.36 tff(20934,plain,
% 50.68/33.36 ((m_processor_v_waiting(c_p0, s3) | (~m_processor_v_waiting(c_p0, s2)) | (~node46(c_p0, s2, s3))) <=> ((~m_processor_v_waiting(c_p0, s2)) | m_processor_v_waiting(c_p0, s3) | (~node46(c_p0, s2, s3)))),
% 50.68/33.36 inference(rewrite,[status(thm)],[])).
% 50.68/33.36 tff(20935,plain,
% 50.68/33.36 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s3) | (~m_processor_v_waiting(c_p0, s2)) | (~node46(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s2)) | m_processor_v_waiting(c_p0, s3) | (~node46(c_p0, s2, s3))))),
% 50.68/33.36 inference(monotonicity,[status(thm)],[20934])).
% 50.68/33.36 tff(20936,plain,
% 50.68/33.36 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s3) | (~m_processor_v_waiting(c_p0, s2)) | (~node46(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s2)) | m_processor_v_waiting(c_p0, s3) | (~node46(c_p0, s2, s3)))),
% 50.68/33.36 inference(transitivity,[status(thm)],[20935, 20933])).
% 50.68/33.36 tff(20937,plain,
% 50.68/33.36 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s3) | (~m_processor_v_waiting(c_p0, s2)) | (~node46(c_p0, s2, s3)))),
% 50.68/33.36 inference(quant_inst,[status(thm)],[])).
% 50.68/33.36 tff(20938,plain,
% 50.68/33.36 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s2)) | m_processor_v_waiting(c_p0, s3) | (~node46(c_p0, s2, s3))),
% 50.68/33.36 inference(modus_ponens,[status(thm)],[20937, 20936])).
% 50.68/33.36 tff(20939,plain,
% 50.68/33.36 ($false),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[20938, 11708, 20703, 5501, 20932])).
% 50.68/33.36 tff(20940,plain,(m_processor_v_master(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | m_processor_v_state(c_p1, s3, c_owned) | (~m_memory_v_busy(c_m, s3)) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node56(c_p0, s4))), inference(lemma,lemma(discharge,[]))).
% 50.68/33.36 tff(20941,plain,
% 50.68/33.36 (m_processor_v_master(c_p0, s2)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[20940, 9858, 5656, 5501, 2652, 56])).
% 50.68/33.36 tff(20942,plain,
% 50.68/33.36 ($false),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[5569, 1275, 5499, 5166])).
% 50.68/33.36 tff(20943,plain,((~m_processor_v_master(c_p0, s2)) | (~node17(s2))), inference(lemma,lemma(discharge,[]))).
% 50.68/33.36 tff(20944,plain,
% 50.68/33.36 (~node17(s2)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[20943, 20941])).
% 50.68/33.36 tff(20945,plain,
% 50.68/33.36 (~m_memory_v_master(c_m, s2)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[5179, 20944])).
% 50.68/33.36 tff(20946,plain,
% 50.68/33.36 (~node19(c_m, s2)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[10030, 20945])).
% 50.68/33.36 tff(20947,plain,
% 50.68/33.36 (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[5512, 5500, 5501, 5499])).
% 50.68/33.36 tff(20948,plain,
% 50.68/33.36 (~node47(c_p0, s2)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[5628, 20947])).
% 50.68/33.36 tff(20949,plain,
% 50.68/33.36 (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[5636, 20948, 5501, 5499, 5500])).
% 50.68/33.36 tff(20950,plain,
% 50.68/33.36 (m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[5526, 5286])).
% 50.68/33.36 tff(20951,plain,
% 50.68/33.36 (~m_processor_v_master(c_p0, s2)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[5512, 20950, 5501, 5500])).
% 50.68/33.36 tff(20952,plain,
% 50.68/33.36 (m_processor_v_cmd(c_p0, s2, c_idle)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[5366, 20951])).
% 50.68/33.36 tff(20953,plain,
% 50.68/33.36 (m_memory_v_CMD(c_m, s2, c_read_h_shared)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[10352, 5286])).
% 50.68/33.36 tff(20954,plain,
% 50.68/33.36 (~node30(c_m, s2)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[10345, 20953])).
% 50.68/33.36 tff(20955,plain,
% 50.68/33.36 (~m_memory_v_busy(c_m, s2)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[9933, 20954, 20735])).
% 50.68/33.36 tff(20956,plain,
% 50.68/33.36 (~node29(c_m, s2)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[17610, 20955])).
% 50.68/33.36 tff(20957,plain,
% 50.68/33.36 (m_memory_v_cmd(c_m, s2, c_idle)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[5195, 20956])).
% 50.68/33.36 tff(20958,plain,
% 50.68/33.36 (m_main_v_CMD(s2, c_idle)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[16595, 20957, 5142, 20952])).
% 50.68/33.36 tff(20959,plain,
% 50.68/33.36 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))) | ((~m_main_v_CMD(s2, c_idle)) | (~m_main_v_CMD(s2, c_read_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))) | (~m_main_v_CMD(s2, c_idle)) | (~m_main_v_CMD(s2, c_read_h_shared)))),
% 50.68/33.36 inference(rewrite,[status(thm)],[])).
% 50.68/33.36 tff(20960,plain,
% 50.68/33.36 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))) | ((~m_main_v_CMD(s2, c_idle)) | (~m_main_v_CMD(s2, c_read_h_shared)))),
% 50.68/33.36 inference(quant_inst,[status(thm)],[])).
% 50.68/33.36 tff(20961,plain,
% 50.68/33.36 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))) | (~m_main_v_CMD(s2, c_idle)) | (~m_main_v_CMD(s2, c_read_h_shared))),
% 50.68/33.36 inference(modus_ponens,[status(thm)],[20960, 20959])).
% 50.68/33.36 tff(20962,plain,
% 50.68/33.36 ($false),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[20961, 8277, 5286, 20958])).
% 50.68/33.36 tff(20963,plain,((~m_main_v_CMD(s2, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | m_processor_v_waiting(c_p0, s3) | m_processor_v_abort(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.36 tff(20964,plain,
% 50.68/33.36 (~m_main_v_CMD(s2, c_read_h_shared)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[20963, 5500, 5501, 5565])).
% 50.68/33.36 tff(20965,plain,
% 50.68/33.36 (~m_main_v_CMD(s2, c_read_h_owned)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[5645, 20949])).
% 50.68/33.36 tff(20966,plain,
% 50.68/33.36 (~m_processor_v_state(c_p0, s2, c_invalid)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[5621, 5133, 5499, 5301])).
% 50.68/33.36 tff(20967,plain,
% 50.68/33.36 (m_processor_v_state(c_p0, s2, c_shared)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[16642, 20966, 2667])).
% 50.68/33.36 tff(20968,plain,
% 50.68/33.36 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (node62(c_p0, s2) | (~m_processor_v_master(c_p0, s2)) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_cmd(c_p0, s2, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | node62(c_p0, s2) | (~m_processor_v_master(c_p0, s2)) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_cmd(c_p0, s2, c_read_h_owned))),
% 50.68/33.36 inference(rewrite,[status(thm)],[])).
% 50.68/33.36 tff(20969,plain,
% 50.68/33.36 ((m_processor_v_cmd(c_p0, s2, c_read_h_owned) | (~m_processor_v_state(c_p0, s2, c_shared)) | (~m_processor_v_master(c_p0, s2)) | node62(c_p0, s2)) <=> (node62(c_p0, s2) | (~m_processor_v_master(c_p0, s2)) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_cmd(c_p0, s2, c_read_h_owned))),
% 50.68/33.36 inference(rewrite,[status(thm)],[])).
% 50.68/33.36 tff(20970,plain,
% 50.68/33.36 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p0, s2, c_read_h_owned) | (~m_processor_v_state(c_p0, s2, c_shared)) | (~m_processor_v_master(c_p0, s2)) | node62(c_p0, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (node62(c_p0, s2) | (~m_processor_v_master(c_p0, s2)) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_cmd(c_p0, s2, c_read_h_owned)))),
% 50.68/33.36 inference(monotonicity,[status(thm)],[20969])).
% 50.68/33.36 tff(20971,plain,
% 50.68/33.36 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p0, s2, c_read_h_owned) | (~m_processor_v_state(c_p0, s2, c_shared)) | (~m_processor_v_master(c_p0, s2)) | node62(c_p0, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | node62(c_p0, s2) | (~m_processor_v_master(c_p0, s2)) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_cmd(c_p0, s2, c_read_h_owned))),
% 50.68/33.36 inference(transitivity,[status(thm)],[20970, 20968])).
% 50.68/33.36 tff(20972,plain,
% 50.68/33.36 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | (m_processor_v_cmd(c_p0, s2, c_read_h_owned) | (~m_processor_v_state(c_p0, s2, c_shared)) | (~m_processor_v_master(c_p0, s2)) | node62(c_p0, s2))),
% 50.68/33.36 inference(quant_inst,[status(thm)],[])).
% 50.68/33.36 tff(20973,plain,
% 50.68/33.36 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | (~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_master(I0, X)) | node62(I0, X))) | node62(c_p0, s2) | (~m_processor_v_master(c_p0, s2)) | (~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_cmd(c_p0, s2, c_read_h_owned)),
% 50.68/33.36 inference(modus_ponens,[status(thm)],[20972, 20971])).
% 50.68/33.36 tff(20974,plain,
% 50.68/33.36 (node62(c_p0, s2) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_cmd(c_p0, s2, c_read_h_owned)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[20973, 1650, 2721])).
% 50.68/33.36 tff(20975,plain,
% 50.68/33.36 (m_processor_v_cmd(c_p0, s2, c_read_h_owned)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[20974, 5499, 5346])).
% 50.68/33.36 tff(20976,plain,
% 50.68/33.36 ($false),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[5604, 20975, 5597, 5133])).
% 50.68/33.36 tff(20977,plain,((~m_processor_v_master(c_p0, s2)) | m_main_v_CMD(s2, c_read_h_owned) | node62(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_shared))), inference(lemma,lemma(discharge,[]))).
% 50.68/33.36 tff(20978,plain,
% 50.68/33.36 (node62(c_p0, s2)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[20977, 20967, 5499, 5133])).
% 50.68/33.36 tff(20979,plain,
% 50.68/33.36 ($false),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[11217, 1633, 20966, 20978])).
% 50.68/33.36 tff(20980,plain,(m_main_v_CMD(s2, c_read_h_owned) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_state(c_p0, s2, c_owned) | m_main_v_CMD(s2, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.36 tff(20981,plain,
% 50.68/33.36 (m_processor_v_state(c_p0, s2, c_owned)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[20980, 20965, 20964, 5499])).
% 50.68/33.36 tff(20982,plain,
% 50.68/33.36 (~node17(s2)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[20943, 5499])).
% 50.68/33.36 tff(20983,plain,
% 50.68/33.36 (~m_memory_v_master(c_m, s2)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[5179, 20982])).
% 50.68/33.36 tff(20984,plain,
% 50.68/33.36 (~node19(c_m, s2)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[10030, 20983])).
% 50.68/33.36 tff(20985,plain,
% 50.68/33.36 (~m_memory_v_CMD(c_m, s2, c_read_h_shared)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[20744, 20964])).
% 50.68/33.36 tff(20986,plain,
% 50.68/33.36 (~m_memory_v_CMD(c_m, s2, c_read_h_owned)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[20814, 20965])).
% 50.68/33.36 tff(20987,plain,
% 50.68/33.36 (~node21(c_m, s2)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[10422, 20986, 20985])).
% 50.68/33.36 tff(20988,plain,
% 50.68/33.36 (m_memory_v_busy(c_m, s2)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[10391, 20987, 9858, 20984])).
% 50.68/33.36 tff(20989,plain,
% 50.68/33.36 (node30(c_m, s2)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[9933, 20988, 20735])).
% 50.68/33.36 tff(20990,assumption,(m_memory_v_CMD(c_m, s2, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.68/33.36 tff(20991,plain,
% 50.68/33.36 (((~![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node30(c_m, s2)) | (~m_memory_v_CMD(c_m, s2, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (~node30(c_m, s2)) | (~m_memory_v_CMD(c_m, s2, c_write_h_resp_h_shared)))),
% 50.68/33.36 inference(rewrite,[status(thm)],[])).
% 50.68/33.36 tff(20992,plain,
% 50.68/33.36 ((~![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node30(c_m, s2)) | (~m_memory_v_CMD(c_m, s2, c_write_h_resp_h_shared)))),
% 50.68/33.36 inference(quant_inst,[status(thm)],[])).
% 50.68/33.36 tff(20993,plain,
% 50.68/33.36 ((~![I0: $i, X: $i] : ((~node30(I0, X)) | (~m_memory_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (~node30(c_m, s2)) | (~m_memory_v_CMD(c_m, s2, c_write_h_resp_h_shared))),
% 50.68/33.36 inference(modus_ponens,[status(thm)],[20992, 20991])).
% 50.68/33.36 tff(20994,plain,
% 50.68/33.36 ($false),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[20993, 6944, 9901, 20990])).
% 50.68/33.36 tff(20995,plain,((~node30(c_m, s2)) | (~m_memory_v_CMD(c_m, s2, c_write_h_resp_h_shared))), inference(lemma,lemma(discharge,[]))).
% 50.68/33.36 tff(20996,plain,
% 50.68/33.36 (~m_memory_v_CMD(c_m, s2, c_write_h_resp_h_shared)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[20995, 20989])).
% 50.68/33.36 tff(20997,assumption,(~m_memory_v_CMD(c_m, s2, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.68/33.36 tff(20998,plain,
% 50.68/33.36 (((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s2)) | (~m_main_v_CMD(s2, c_write_h_resp_h_shared)) | m_memory_v_CMD(c_m, s2, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s2)) | (~m_main_v_CMD(s2, c_write_h_resp_h_shared)) | m_memory_v_CMD(c_m, s2, c_write_h_resp_h_shared))),
% 50.68/33.36 inference(rewrite,[status(thm)],[])).
% 50.68/33.36 tff(20999,plain,
% 50.68/33.36 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s2)) | (~m_main_v_CMD(s2, c_write_h_resp_h_shared)) | m_memory_v_CMD(c_m, s2, c_write_h_resp_h_shared))),
% 50.68/33.36 inference(quant_inst,[status(thm)],[])).
% 50.68/33.36 tff(21000,plain,
% 50.68/33.36 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s2)) | (~m_main_v_CMD(s2, c_write_h_resp_h_shared)) | m_memory_v_CMD(c_m, s2, c_write_h_resp_h_shared)),
% 50.68/33.36 inference(modus_ponens,[status(thm)],[20999, 20998])).
% 50.68/33.36 tff(21001,plain,
% 50.68/33.36 ($false),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[21000, 4207, 9894, 11294, 20997])).
% 50.68/33.36 tff(21002,plain,((~m_main_v_CMD(s2, c_write_h_resp_h_shared)) | m_memory_v_CMD(c_m, s2, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.36 tff(21003,plain,
% 50.68/33.36 (~m_main_v_CMD(s2, c_write_h_resp_h_shared)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[21002, 20996])).
% 50.68/33.36 tff(21004,plain,
% 50.68/33.36 (~m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[16622, 21003, 5597])).
% 50.68/33.36 tff(21005,plain,
% 50.68/33.36 (m_main_v_CMD(s2, c_write_h_invalid)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[16637, 21004, 5499, 20981])).
% 50.68/33.36 tff(21006,assumption,(m_main_v_CMD(s2, c_write_h_invalid)), introduced(assumption)).
% 50.68/33.36 tff(21007,plain,
% 50.68/33.36 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | (~m_main_v_CMD(s2, c_write_h_invalid)) | (~node2(s2)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | (~m_main_v_CMD(s2, c_write_h_invalid)) | (~node2(s2)))),
% 50.68/33.36 inference(rewrite,[status(thm)],[])).
% 50.68/33.36 tff(21008,plain,
% 50.68/33.36 (((~m_main_v_CMD(s2, c_write_h_invalid)) | (~node2(s2)) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid)) <=> (m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | (~m_main_v_CMD(s2, c_write_h_invalid)) | (~node2(s2)))),
% 50.68/33.36 inference(rewrite,[status(thm)],[])).
% 50.68/33.36 tff(21009,plain,
% 50.68/33.36 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s2, c_write_h_invalid)) | (~node2(s2)) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | (~m_main_v_CMD(s2, c_write_h_invalid)) | (~node2(s2))))),
% 50.68/33.36 inference(monotonicity,[status(thm)],[21008])).
% 50.68/33.36 tff(21010,plain,
% 50.68/33.36 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s2, c_write_h_invalid)) | (~node2(s2)) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | (~m_main_v_CMD(s2, c_write_h_invalid)) | (~node2(s2)))),
% 50.68/33.36 inference(transitivity,[status(thm)],[21009, 21007])).
% 50.68/33.36 tff(21011,plain,
% 50.68/33.36 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s2, c_write_h_invalid)) | (~node2(s2)) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid))),
% 50.68/33.36 inference(quant_inst,[status(thm)],[])).
% 50.68/33.36 tff(21012,plain,
% 50.68/33.36 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid) | (~m_main_v_CMD(s2, c_write_h_invalid)) | (~node2(s2))),
% 50.68/33.36 inference(modus_ponens,[status(thm)],[21011, 21010])).
% 50.68/33.36 tff(21013,plain,
% 50.68/33.36 ($false),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[21012, 1228, 5518, 21006, 9217])).
% 50.68/33.36 tff(21014,plain,((~m_main_v_CMD(s2, c_write_h_invalid)) | m_processor_v_CMD(c_p0, s2, c_write_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.36 tff(21015,plain,
% 50.68/33.36 (m_processor_v_CMD(c_p0, s2, c_write_h_invalid)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[21014, 21005])).
% 50.68/33.36 tff(21016,plain,
% 50.68/33.36 (node34(c_p0, s2, s3)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[9272, 5500, 5499])).
% 50.68/33.36 tff(21017,plain,
% 50.68/33.36 ($false),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[19622, 512, 2722, 21016, 20947, 21015, 20949])).
% 50.68/33.36 tff(21018,plain,(m_processor_v_abort(c_p0, s2) | m_processor_v_state(c_p0, s3, c_invalid) | (~m_processor_v_master(c_p0, s2)) | (~m_memory_v_busy(c_m, s3)) | m_processor_v_waiting(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.36 tff(21019,plain,
% 50.68/33.36 (m_processor_v_abort(c_p0, s2)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[21018, 20941, 2666, 9858, 5501])).
% 50.68/33.36 tff(21020,plain,
% 50.68/33.36 (node32(c_p0, s2, s3)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[2704, 21019])).
% 50.68/33.36 tff(21021,plain,
% 50.68/33.36 (~m_processor_v_state(c_p0, s2, c_invalid)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[5496, 21020, 2666])).
% 50.68/33.36 tff(21022,plain,
% 50.68/33.36 (~m_processor_v_state(c_p0, s2, c_shared)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[2732, 21020, 2662])).
% 50.68/33.36 tff(21023,plain,
% 50.68/33.36 (node46(c_p0, s2, s3)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[20931, 21019])).
% 50.68/33.36 tff(21024,plain,
% 50.68/33.36 (~m_processor_v_waiting(c_p0, s2)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[20938, 11708, 5501, 21023])).
% 50.68/33.36 tff(21025,plain,
% 50.68/33.36 (~m_memory_v_busy(c_m, s2)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[20702, 21024, 21022, 21021])).
% 50.68/33.36 tff(21026,plain,
% 50.68/33.36 (node21(c_m, s2)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[10391, 21025, 9858, 20946])).
% 50.68/33.36 tff(21027,plain,
% 50.68/33.36 (m_processor_v_state(c_p0, s2, c_owned)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[16644, 21020, 2666, 2662])).
% 50.68/33.36 tff(21028,plain,
% 50.68/33.36 (~node62(c_p0, s2)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[11217, 1633, 21021])).
% 50.68/33.36 tff(21029,plain,
% 50.68/33.36 (~node63(c_p0, s2)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[11212, 1809, 21022])).
% 50.68/33.36 tff(21030,plain,
% 50.68/33.36 (~node65(c_p0, s2)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[11229, 4107, 11350])).
% 50.68/33.36 tff(21031,plain,
% 50.68/33.36 ((~m_processor_v_state(c_p0, s2, c_owned)) | node62(c_p0, s2) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_cmd(c_p0, s2, c_write_h_invalid) | node64(c_p0, s2) | node65(c_p0, s2) | node63(c_p0, s2)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[11239, 7232, 11198])).
% 50.68/33.36 tff(21032,plain,
% 50.68/33.36 ((~m_processor_v_state(c_p0, s2, c_owned)) | node62(c_p0, s2) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_cmd(c_p0, s2, c_write_h_invalid) | node63(c_p0, s2)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[21031, 11206, 21030])).
% 50.68/33.36 tff(21033,plain,
% 50.68/33.36 (m_processor_v_cmd(c_p0, s2, c_write_h_invalid)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[21032, 21029, 20941, 21028, 21027])).
% 50.68/33.36 tff(21034,plain,
% 50.68/33.36 (~m_processor_v_cmd(c_p0, s2, c_read_h_owned)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[10843, 3716, 21033])).
% 50.68/33.36 tff(21035,plain,
% 50.68/33.36 (node8(s2)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[5596, 20941])).
% 50.68/33.36 tff(21036,plain,
% 50.68/33.36 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s2, c_read_h_owned)) | (~node8(s2)) | m_processor_v_cmd(c_p0, s2, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~m_main_v_CMD(s2, c_read_h_owned)) | (~node8(s2)) | m_processor_v_cmd(c_p0, s2, c_read_h_owned))),
% 50.68/33.36 inference(rewrite,[status(thm)],[])).
% 50.68/33.36 tff(21037,plain,
% 50.68/33.36 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s2, c_read_h_owned)) | (~node8(s2)) | m_processor_v_cmd(c_p0, s2, c_read_h_owned))),
% 50.68/33.36 inference(quant_inst,[status(thm)],[])).
% 50.68/33.36 tff(21038,plain,
% 50.68/33.36 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~m_main_v_CMD(s2, c_read_h_owned)) | (~node8(s2)) | m_processor_v_cmd(c_p0, s2, c_read_h_owned)),
% 50.68/33.36 inference(modus_ponens,[status(thm)],[21037, 21036])).
% 50.68/33.36 tff(21039,plain,
% 50.68/33.36 (~m_main_v_CMD(s2, c_read_h_owned)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[21038, 2191, 21035, 21034])).
% 50.68/33.36 tff(21040,plain,
% 50.68/33.36 (~m_memory_v_CMD(c_m, s2, c_read_h_owned)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[20814, 21039])).
% 50.68/33.36 tff(21041,plain,
% 50.68/33.36 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s2, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s2, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s2, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s2, c_write_h_invalid)))),
% 50.68/33.36 inference(rewrite,[status(thm)],[])).
% 50.68/33.36 tff(21042,plain,
% 50.68/33.36 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s2, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s2, c_write_h_invalid)))),
% 50.68/33.36 inference(quant_inst,[status(thm)],[])).
% 50.68/33.36 tff(21043,plain,
% 50.68/33.36 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s2, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s2, c_write_h_invalid))),
% 50.68/33.36 inference(modus_ponens,[status(thm)],[21042, 21041])).
% 50.68/33.36 tff(21044,plain,
% 50.68/33.36 (~m_processor_v_cmd(c_p0, s2, c_read_h_shared)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[21043, 11648, 21033])).
% 50.68/33.36 tff(21045,plain,
% 50.68/33.36 (~m_main_v_CMD(s2, c_read_h_shared)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[8949, 2191, 21035, 21044])).
% 50.68/33.36 tff(21046,plain,
% 50.68/33.36 (~m_memory_v_CMD(c_m, s2, c_read_h_shared)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[20744, 21045])).
% 50.68/33.36 tff(21047,plain,
% 50.68/33.36 ($false),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[10422, 21046, 21040, 21026])).
% 50.68/33.36 tff(21048,plain,((~m_memory_v_busy(c_m, s3)) | m_processor_v_waiting(c_p0, s3) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~node56(c_p0, s4))), inference(lemma,lemma(discharge,[]))).
% 50.68/33.36 tff(21049,plain,
% 50.68/33.36 (~m_memory_v_busy(c_m, s3)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[21048, 20152, 5656, 19498, 20190])).
% 50.68/33.36 tff(21050,plain,
% 50.68/33.36 (~m_memory_v_busy(c_m, s4)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[20093, 21049, 20126])).
% 50.68/33.36 tff(21051,plain,
% 50.68/33.36 (~node29(c_m, s4)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[2077, 21050])).
% 50.68/33.36 tff(21052,plain,
% 50.68/33.36 (m_memory_v_cmd(c_m, s4, c_idle)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[1325, 21051])).
% 50.68/33.36 tff(21053,assumption,(m_processor_v_snoop(c_p0, s4, c_invalid)), introduced(assumption)).
% 50.68/33.36 tff(21054,plain,
% 50.68/33.36 (((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | ((~m_processor_v_snoop(c_p0, s4, c_invalid)) | (~m_processor_v_snoop(c_p0, s4, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | (~m_processor_v_snoop(c_p0, s4, c_owned)))),
% 50.68/33.36 inference(rewrite,[status(thm)],[])).
% 50.68/33.36 tff(21055,plain,
% 50.68/33.36 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | ((~m_processor_v_snoop(c_p0, s4, c_invalid)) | (~m_processor_v_snoop(c_p0, s4, c_owned)))),
% 50.68/33.36 inference(quant_inst,[status(thm)],[])).
% 50.68/33.36 tff(21056,plain,
% 50.68/33.36 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | (~m_processor_v_snoop(c_p0, s4, c_owned))),
% 50.68/33.36 inference(modus_ponens,[status(thm)],[21055, 21054])).
% 50.68/33.36 tff(21057,plain,
% 50.68/33.36 (~m_processor_v_snoop(c_p0, s4, c_owned)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[21056, 4071, 21053])).
% 50.68/33.36 tff(21058,plain,
% 50.68/33.36 (~node64(c_p0, s4)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[16794, 4082, 21057])).
% 50.68/33.36 tff(21059,plain,
% 50.68/33.36 (((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p0, s4, c_invalid)) | (~m_processor_v_snoop(c_p0, s4, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | (~m_processor_v_snoop(c_p0, s4, c_shared)))),
% 50.68/33.36 inference(rewrite,[status(thm)],[])).
% 50.68/33.36 tff(21060,plain,
% 50.68/33.36 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p0, s4, c_invalid)) | (~m_processor_v_snoop(c_p0, s4, c_shared)))),
% 50.68/33.36 inference(quant_inst,[status(thm)],[])).
% 50.68/33.36 tff(21061,plain,
% 50.68/33.36 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | (~m_processor_v_snoop(c_p0, s4, c_shared))),
% 50.68/33.36 inference(modus_ponens,[status(thm)],[21060, 21059])).
% 50.68/33.36 tff(21062,plain,
% 50.68/33.36 (~m_processor_v_snoop(c_p0, s4, c_shared)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[21061, 4096, 21053])).
% 50.68/33.36 tff(21063,plain,
% 50.68/33.36 (~node65(c_p0, s4)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[16854, 4107, 21062])).
% 50.68/33.36 tff(21064,assumption,(~node51(c_p1, s4)), introduced(assumption)).
% 50.68/33.36 tff(21065,assumption,(m_main_v_CMD(s4, c_idle)), introduced(assumption)).
% 50.68/33.36 tff(21066,plain,
% 50.68/33.36 (~m_main_v_CMD(s4, c_response)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[20010, 10097, 21065])).
% 50.68/33.36 tff(21067,plain,
% 50.68/33.36 (~m_processor_v_CMD(c_p1, s4, c_response)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[19928, 21066])).
% 50.68/33.36 tff(21068,plain,
% 50.68/33.36 (~node49(c_p1, s4)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[19936, 21067])).
% 50.68/33.36 tff(21069,plain,
% 50.68/33.36 (node50(c_p1, s4)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[19972, 21068, 19851, 19853, 19852, 1425, 21064])).
% 50.68/33.36 tff(21070,plain,
% 50.68/33.36 (m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[19964, 21069])).
% 50.68/33.36 tff(21071,plain,
% 50.68/33.36 (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[20018, 7663, 21065])).
% 50.68/33.36 tff(21072,plain,
% 50.68/33.36 ($false),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[17513, 1260, 1250, 21071, 21070])).
% 50.68/33.36 tff(21073,plain,((~m_main_v_CMD(s4, c_idle)) | node48(c_p1, s4) | node47(c_p1, s4) | node52(c_p1, s4, s5) | m_processor_v_abort(c_p1, s4) | node51(c_p1, s4)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.36 tff(21074,plain,
% 50.68/33.36 (~m_main_v_CMD(s4, c_idle)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[21073, 19879, 19853, 19852, 1425, 19851])).
% 50.68/33.36 tff(21075,plain,
% 50.68/33.36 (~m_processor_v_cmd(c_p0, s4, c_idle)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[20006, 21074, 1620, 1519])).
% 50.68/33.36 tff(21076,plain,
% 50.68/33.36 (m_processor_v_master(c_p0, s4)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[12616, 21075])).
% 50.68/33.36 tff(21077,plain,
% 50.68/33.36 (m_processor_v_cmd(c_p0, s4, c_write_h_invalid)),
% 50.68/33.36 inference(unit_resolution,[status(thm)],[16850, 21075, 16833, 1752, 16832, 21076, 16778, 16779])).
% 50.68/33.36 tff(21078,plain,
% 50.68/33.36 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response))))),
% 50.68/33.37 inference(bind,[status(th)],[])).
% 50.68/33.37 tff(21079,plain,
% 50.68/33.37 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 50.68/33.37 inference(quant_intro,[status(thm)],[21078])).
% 50.68/33.37 tff(21080,plain,
% 50.68/33.37 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 50.68/33.37 inference(rewrite,[status(thm)],[])).
% 50.68/33.37 tff(21081,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_27')).
% 50.68/33.37 tff(21082,plain,
% 50.68/33.37 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 50.68/33.37 inference(modus_ponens,[status(thm)],[21081, 21080])).
% 50.68/33.37 tff(21083,plain,(
% 50.68/33.37 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 50.68/33.37 inference(skolemize,[status(sab)],[21082])).
% 50.68/33.37 tff(21084,plain,
% 50.68/33.37 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 50.68/33.37 inference(modus_ponens,[status(thm)],[21083, 21079])).
% 50.68/33.37 tff(21085,plain,
% 50.68/33.37 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p0, s4, c_write_h_invalid)) | (~m_processor_v_cmd(c_p0, s4, c_response)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p0, s4, c_write_h_invalid)) | (~m_processor_v_cmd(c_p0, s4, c_response)))),
% 50.68/33.37 inference(rewrite,[status(thm)],[])).
% 50.68/33.37 tff(21086,plain,
% 50.68/33.37 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p0, s4, c_write_h_invalid)) | (~m_processor_v_cmd(c_p0, s4, c_response)))),
% 50.68/33.37 inference(quant_inst,[status(thm)],[])).
% 50.68/33.37 tff(21087,plain,
% 50.68/33.37 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p0, s4, c_write_h_invalid)) | (~m_processor_v_cmd(c_p0, s4, c_response))),
% 50.68/33.37 inference(modus_ponens,[status(thm)],[21086, 21085])).
% 50.68/33.37 tff(21088,plain,
% 50.68/33.37 (~m_processor_v_cmd(c_p0, s4, c_response)),
% 50.68/33.37 inference(unit_resolution,[status(thm)],[21087, 21084, 21077])).
% 50.68/33.37 tff(21089,plain,
% 50.68/33.37 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s4, c_response)) | (~node8(s4)) | m_processor_v_cmd(c_p0, s4, c_response))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~m_main_v_CMD(s4, c_response)) | (~node8(s4)) | m_processor_v_cmd(c_p0, s4, c_response))),
% 50.68/33.37 inference(rewrite,[status(thm)],[])).
% 50.68/33.37 tff(21090,plain,
% 50.68/33.37 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s4, c_response)) | (~node8(s4)) | m_processor_v_cmd(c_p0, s4, c_response))),
% 50.68/33.37 inference(quant_inst,[status(thm)],[])).
% 50.68/33.37 tff(21091,plain,
% 50.68/33.37 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~m_main_v_CMD(s4, c_response)) | (~node8(s4)) | m_processor_v_cmd(c_p0, s4, c_response)),
% 50.68/33.37 inference(modus_ponens,[status(thm)],[21090, 21089])).
% 50.68/33.37 tff(21092,plain,
% 50.68/33.37 (~m_main_v_CMD(s4, c_response)),
% 50.68/33.37 inference(unit_resolution,[status(thm)],[21091, 2191, 19978, 21088])).
% 50.68/33.37 tff(21093,plain,
% 50.68/33.37 (~m_processor_v_CMD(c_p1, s4, c_response)),
% 50.68/33.37 inference(unit_resolution,[status(thm)],[19928, 21092])).
% 50.68/33.37 tff(21094,plain,
% 50.68/33.37 (~node49(c_p1, s4)),
% 50.68/33.37 inference(unit_resolution,[status(thm)],[19936, 21093])).
% 50.68/33.37 tff(21095,plain,
% 50.68/33.37 (node50(c_p1, s4)),
% 50.68/33.37 inference(unit_resolution,[status(thm)],[19972, 21094, 19851, 19853, 19852, 1425, 19879])).
% 50.68/33.37 tff(21096,plain,
% 50.68/33.37 (m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid)),
% 50.68/33.37 inference(unit_resolution,[status(thm)],[19964, 21095])).
% 50.68/33.37 tff(21097,plain,
% 50.68/33.37 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s4, c_write_h_invalid)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p0, s4, c_write_h_invalid)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid)))),
% 50.68/33.37 inference(rewrite,[status(thm)],[])).
% 50.68/33.37 tff(21098,plain,
% 50.68/33.37 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s4, c_write_h_invalid)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid)))),
% 50.68/33.37 inference(quant_inst,[status(thm)],[])).
% 50.68/33.37 tff(21099,plain,
% 50.68/33.37 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p0, s4, c_write_h_invalid)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid))),
% 50.68/33.37 inference(modus_ponens,[status(thm)],[21098, 21097])).
% 50.68/33.37 tff(21100,plain,
% 50.68/33.37 (~m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid)),
% 50.68/33.37 inference(unit_resolution,[status(thm)],[21099, 10666, 21077])).
% 50.68/33.37 tff(21101,plain,
% 50.68/33.37 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node8(s4)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node8(s4)))),
% 50.68/33.37 inference(rewrite,[status(thm)],[])).
% 50.68/33.37 tff(21102,plain,
% 50.68/33.37 (((~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node8(s4)) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid)) <=> (m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node8(s4)))),
% 50.68/33.37 inference(rewrite,[status(thm)],[])).
% 50.68/33.37 tff(21103,plain,
% 50.68/33.37 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node8(s4)) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node8(s4))))),
% 50.68/33.37 inference(monotonicity,[status(thm)],[21102])).
% 50.68/33.37 tff(21104,plain,
% 50.68/33.37 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node8(s4)) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node8(s4)))),
% 50.68/33.37 inference(transitivity,[status(thm)],[21103, 21101])).
% 50.68/33.37 tff(21105,plain,
% 50.68/33.37 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node8(s4)) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid))),
% 50.68/33.37 inference(quant_inst,[status(thm)],[])).
% 50.68/33.37 tff(21106,plain,
% 50.68/33.37 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s4, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node8(s4))),
% 50.68/33.37 inference(modus_ponens,[status(thm)],[21105, 21104])).
% 50.68/33.37 tff(21107,plain,
% 50.68/33.37 (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)),
% 50.68/33.37 inference(unit_resolution,[status(thm)],[21106, 2191, 19978, 21100])).
% 50.68/33.37 tff(21108,plain,
% 50.68/33.37 ($false),
% 50.68/33.37 inference(unit_resolution,[status(thm)],[17513, 1260, 1250, 21107, 21096])).
% 50.68/33.37 tff(21109,plain,(m_main_v_CMD(s4, c_write_h_resp_h_shared) | node48(c_p1, s4) | node47(c_p1, s4) | node52(c_p1, s4, s5) | m_processor_v_abort(c_p1, s4) | node65(c_p0, s4) | (~m_processor_v_state(c_p0, s4, c_owned)) | node64(c_p0, s4) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_memory_v_cmd(c_m, s4, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.68/33.37 tff(21110,plain,
% 50.68/33.37 (m_main_v_CMD(s4, c_write_h_resp_h_shared)),
% 50.68/33.37 inference(unit_resolution,[status(thm)],[21109, 21063, 19853, 19852, 1425, 19851, 1752, 21058, 1620, 1519])).
% 50.68/33.37 tff(21111,plain,
% 50.68/33.37 (~m_main_v_CMD(s4, c_write_h_invalid)),
% 50.68/33.37 inference(unit_resolution,[status(thm)],[17524, 17521, 21110])).
% 50.68/33.37 tff(21112,plain,
% 50.68/33.37 (~m_main_v_CMD(s4, c_idle)),
% 50.68/33.37 inference(unit_resolution,[status(thm)],[20070, 7650, 21110])).
% 50.68/33.37 tff(21113,plain,
% 50.68/33.37 (~m_processor_v_cmd(c_p0, s4, c_idle)),
% 50.68/33.37 inference(unit_resolution,[status(thm)],[20006, 21112, 1620, 1519])).
% 50.68/33.37 tff(21114,plain,
% 50.68/33.37 (m_processor_v_master(c_p0, s4)),
% 50.68/33.37 inference(unit_resolution,[status(thm)],[12616, 21113])).
% 50.68/33.37 tff(21115,plain,
% 50.68/33.37 (~node16(s4)),
% 50.68/33.37 inference(unit_resolution,[status(thm)],[1535, 21114])).
% 50.68/33.37 tff(21116,plain,
% 50.68/33.37 (~m_processor_v_master(c_p2, s4)),
% 50.68/33.37 inference(unit_resolution,[status(thm)],[1550, 21115])).
% 50.68/33.37 tff(21117,plain,
% 50.68/33.37 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 50.68/33.37 inference(unit_resolution,[status(thm)],[1582, 21116])).
% 50.68/33.37 tff(21118,plain,
% 50.68/33.37 (node8(s4)),
% 50.68/33.37 inference(unit_resolution,[status(thm)],[1678, 21117, 1519])).
% 50.68/33.37 tff(21119,plain,
% 50.68/33.37 (m_processor_v_cmd(c_p0, s4, c_write_h_invalid)),
% 50.68/33.37 inference(unit_resolution,[status(thm)],[16850, 21113, 21063, 1752, 21058, 21114, 16778, 16779])).
% 50.68/33.37 tff(21120,plain,
% 50.68/33.37 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s4, c_write_h_invalid) | (~node8(s4)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s4, c_write_h_invalid) | (~node8(s4)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_invalid)))),
% 50.68/33.37 inference(rewrite,[status(thm)],[])).
% 50.68/33.37 tff(21121,plain,
% 50.68/33.37 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s4, c_write_h_invalid) | (~node8(s4)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_invalid)))),
% 50.68/33.37 inference(quant_inst,[status(thm)],[])).
% 50.68/33.37 tff(21122,plain,
% 50.68/33.37 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s4, c_write_h_invalid) | (~node8(s4)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_invalid))),
% 50.68/33.37 inference(modus_ponens,[status(thm)],[21121, 21120])).
% 50.68/33.37 tff(21123,plain,
% 50.68/33.37 ($false),
% 50.68/33.37 inference(unit_resolution,[status(thm)],[21122, 1669, 21119, 21118, 21111])).
% 50.68/33.37 tff(21124,plain,((~m_processor_v_snoop(c_p0, s4, c_invalid)) | (~m_memory_v_cmd(c_m, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_state(c_p0, s4, c_owned)) | node47(c_p1, s4) | node52(c_p1, s4, s5) | m_processor_v_abort(c_p1, s4) | node48(c_p1, s4)), inference(lemma,lemma(discharge,[]))).
% 50.68/33.37 tff(21125,plain,
% 50.68/33.37 (~m_processor_v_snoop(c_p0, s4, c_invalid)),
% 50.68/33.37 inference(unit_resolution,[status(thm)],[21124, 21052, 19541, 19451, 19540, 19536, 19522, 19526])).
% 50.68/33.37 tff(21126,assumption,(m_processor_v_snoop(c_p0, s3, c_invalid)), introduced(assumption)).
% 50.68/33.37 tff(21127,plain,
% 50.68/33.37 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | ((~m_processor_v_snoop(c_p0, s3, c_invalid)) | m_processor_v_snoop(c_p0, s4, c_invalid) | (~node44(c_p0, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | m_processor_v_snoop(c_p0, s4, c_invalid) | (~node44(c_p0, s3, s4)))),
% 50.68/33.37 inference(rewrite,[status(thm)],[])).
% 50.68/33.37 tff(21128,plain,
% 50.68/33.37 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | ((~m_processor_v_snoop(c_p0, s3, c_invalid)) | m_processor_v_snoop(c_p0, s4, c_invalid) | (~node44(c_p0, s3, s4)))),
% 50.68/33.37 inference(quant_inst,[status(thm)],[])).
% 50.68/33.37 tff(21129,plain,
% 50.68/33.37 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | m_processor_v_snoop(c_p0, s4, c_invalid) | (~node44(c_p0, s3, s4))),
% 50.68/33.37 inference(modus_ponens,[status(thm)],[21128, 21127])).
% 50.68/33.37 tff(21130,plain,
% 50.68/33.37 ($false),
% 50.68/33.37 inference(unit_resolution,[status(thm)],[21129, 7470, 19868, 19843, 21126])).
% 50.68/33.37 tff(21131,plain,((~m_processor_v_snoop(c_p0, s3, c_invalid)) | m_processor_v_snoop(c_p0, s4, c_invalid) | (~node44(c_p0, s3, s4))), inference(lemma,lemma(discharge,[]))).
% 50.68/33.37 tff(21132,plain,
% 50.68/33.37 (~m_processor_v_snoop(c_p0, s3, c_invalid)),
% 50.68/33.37 inference(unit_resolution,[status(thm)],[21131, 21125, 20113])).
% 50.68/33.37 tff(21133,assumption,(node39(c_p0, s2, s3)), introduced(assumption)).
% 50.68/33.37 tff(21134,assumption,(~m_processor_v_snoop(c_p0, s3, c_invalid)), introduced(assumption)).
% 50.68/33.37 tff(21135,assumption,(m_processor_v_snoop(c_p0, s2, c_invalid)), introduced(assumption)).
% 50.68/33.37 tff(21136,plain,
% 50.68/33.37 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~m_processor_v_snoop(c_p0, s2, c_invalid)) | m_processor_v_snoop(c_p0, s3, c_invalid) | (~node39(c_p0, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p0, s2, c_invalid)) | m_processor_v_snoop(c_p0, s3, c_invalid) | (~node39(c_p0, s2, s3)))),
% 50.68/33.37 inference(rewrite,[status(thm)],[])).
% 50.68/33.37 tff(21137,plain,
% 50.68/33.37 (((~node39(c_p0, s2, s3)) | (~m_processor_v_snoop(c_p0, s2, c_invalid)) | m_processor_v_snoop(c_p0, s3, c_invalid)) <=> ((~m_processor_v_snoop(c_p0, s2, c_invalid)) | m_processor_v_snoop(c_p0, s3, c_invalid) | (~node39(c_p0, s2, s3)))),
% 50.68/33.37 inference(rewrite,[status(thm)],[])).
% 50.68/33.37 tff(21138,plain,
% 50.68/33.37 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p0, s2, s3)) | (~m_processor_v_snoop(c_p0, s2, c_invalid)) | m_processor_v_snoop(c_p0, s3, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~m_processor_v_snoop(c_p0, s2, c_invalid)) | m_processor_v_snoop(c_p0, s3, c_invalid) | (~node39(c_p0, s2, s3))))),
% 50.68/33.37 inference(monotonicity,[status(thm)],[21137])).
% 50.68/33.37 tff(21139,plain,
% 50.68/33.37 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p0, s2, s3)) | (~m_processor_v_snoop(c_p0, s2, c_invalid)) | m_processor_v_snoop(c_p0, s3, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p0, s2, c_invalid)) | m_processor_v_snoop(c_p0, s3, c_invalid) | (~node39(c_p0, s2, s3)))),
% 50.68/33.37 inference(transitivity,[status(thm)],[21138, 21136])).
% 50.68/33.37 tff(21140,plain,
% 50.68/33.37 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p0, s2, s3)) | (~m_processor_v_snoop(c_p0, s2, c_invalid)) | m_processor_v_snoop(c_p0, s3, c_invalid))),
% 50.68/33.37 inference(quant_inst,[status(thm)],[])).
% 50.68/33.37 tff(21141,plain,
% 50.68/33.37 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p0, s2, c_invalid)) | m_processor_v_snoop(c_p0, s3, c_invalid) | (~node39(c_p0, s2, s3))),
% 50.68/33.37 inference(modus_ponens,[status(thm)],[21140, 21139])).
% 50.68/33.37 tff(21142,plain,
% 50.68/33.37 ($false),
% 50.68/33.37 inference(unit_resolution,[status(thm)],[21141, 7486, 21135, 21134, 21133])).
% 50.68/33.37 tff(21143,plain,((~node39(c_p0, s2, s3)) | (~m_processor_v_snoop(c_p0, s2, c_invalid)) | m_processor_v_snoop(c_p0, s3, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.76/33.37 tff(21144,plain,
% 50.76/33.37 ((~node39(c_p0, s2, s3)) | m_processor_v_snoop(c_p0, s3, c_invalid)),
% 50.76/33.37 inference(unit_resolution,[status(thm)],[21143, 11198])).
% 50.76/33.37 tff(21145,plain,
% 50.76/33.37 (~node39(c_p0, s2, s3)),
% 50.76/33.37 inference(unit_resolution,[status(thm)],[21144, 21132])).
% 50.76/33.37 tff(21146,plain,
% 50.76/33.37 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s2)) | node39(c_p0, s2, s3) | (~node45(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s2)) | node39(c_p0, s2, s3) | (~node45(c_p0, s2, s3)))),
% 50.76/33.37 inference(rewrite,[status(thm)],[])).
% 50.76/33.37 tff(21147,plain,
% 50.76/33.37 ((node39(c_p0, s2, s3) | (~m_processor_v_abort(c_p0, s2)) | (~node45(c_p0, s2, s3))) <=> ((~m_processor_v_abort(c_p0, s2)) | node39(c_p0, s2, s3) | (~node45(c_p0, s2, s3)))),
% 50.76/33.37 inference(rewrite,[status(thm)],[])).
% 50.76/33.37 tff(21148,plain,
% 50.76/33.37 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p0, s2, s3) | (~m_processor_v_abort(c_p0, s2)) | (~node45(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s2)) | node39(c_p0, s2, s3) | (~node45(c_p0, s2, s3))))),
% 50.76/33.37 inference(monotonicity,[status(thm)],[21147])).
% 50.76/33.37 tff(21149,plain,
% 50.76/33.37 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p0, s2, s3) | (~m_processor_v_abort(c_p0, s2)) | (~node45(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s2)) | node39(c_p0, s2, s3) | (~node45(c_p0, s2, s3)))),
% 50.76/33.37 inference(transitivity,[status(thm)],[21148, 21146])).
% 50.76/33.37 tff(21150,plain,
% 50.76/33.37 ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p0, s2, s3) | (~m_processor_v_abort(c_p0, s2)) | (~node45(c_p0, s2, s3)))),
% 50.76/33.37 inference(quant_inst,[status(thm)],[])).
% 50.76/33.37 tff(21151,plain,
% 50.76/33.37 ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s2)) | node39(c_p0, s2, s3) | (~node45(c_p0, s2, s3))),
% 50.76/33.37 inference(modus_ponens,[status(thm)],[21150, 21149])).
% 50.76/33.37 tff(21152,plain,
% 50.76/33.37 ((~m_processor_v_abort(c_p0, s2)) | node39(c_p0, s2, s3)),
% 50.76/33.37 inference(unit_resolution,[status(thm)],[21151, 7518, 11271])).
% 50.76/33.37 tff(21153,plain,
% 50.76/33.37 (~m_processor_v_abort(c_p0, s2)),
% 50.76/33.37 inference(unit_resolution,[status(thm)],[21152, 21145])).
% 50.76/33.37 tff(21154,assumption,(node41(c_p0, s2)), introduced(assumption)).
% 50.76/33.37 tff(21155,plain,
% 50.76/33.37 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | (m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~node41(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~node41(c_p0, s2)))),
% 50.76/33.37 inference(rewrite,[status(thm)],[])).
% 50.76/33.37 tff(21156,plain,
% 50.76/33.37 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | (m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~node41(c_p0, s2)))),
% 50.76/33.37 inference(quant_inst,[status(thm)],[])).
% 50.76/33.37 tff(21157,plain,
% 50.76/33.37 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~node41(c_p0, s2))),
% 50.76/33.37 inference(modus_ponens,[status(thm)],[21156, 21155])).
% 50.76/33.37 tff(21158,plain,
% 50.76/33.37 ($false),
% 50.76/33.37 inference(unit_resolution,[status(thm)],[21157, 8378, 5514, 21154])).
% 50.76/33.37 tff(21159,plain,((~node41(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.76/33.37 tff(21160,plain,
% 50.76/33.37 (~node41(c_p0, s2)),
% 50.76/33.37 inference(unit_resolution,[status(thm)],[21159, 5514])).
% 50.76/33.37 tff(21161,assumption,(node40(c_p0, s2)), introduced(assumption)).
% 50.76/33.37 tff(21162,plain,
% 50.76/33.37 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | (m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~node40(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~node40(c_p0, s2)))),
% 50.76/33.37 inference(rewrite,[status(thm)],[])).
% 50.76/33.37 tff(21163,plain,
% 50.76/33.37 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | (m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~node40(c_p0, s2)))),
% 50.76/33.37 inference(quant_inst,[status(thm)],[])).
% 50.76/33.37 tff(21164,plain,
% 50.76/33.37 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~node40(c_p0, s2))),
% 50.76/33.37 inference(modus_ponens,[status(thm)],[21163, 21162])).
% 50.76/33.37 tff(21165,plain,
% 50.76/33.37 ($false),
% 50.76/33.37 inference(unit_resolution,[status(thm)],[21164, 8367, 5514, 21161])).
% 50.76/33.37 tff(21166,plain,((~node40(c_p0, s2)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.76/33.37 tff(21167,plain,
% 50.76/33.37 (~node40(c_p0, s2)),
% 50.76/33.37 inference(unit_resolution,[status(thm)],[21166, 5514])).
% 50.76/33.37 tff(21168,plain,
% 50.76/33.37 (~node39(c_p0, s2, s3)),
% 50.76/33.37 inference(unit_resolution,[status(thm)],[21144, 21134])).
% 50.76/33.37 tff(21169,plain,
% 50.76/33.37 (~m_processor_v_abort(c_p0, s2)),
% 50.76/33.37 inference(unit_resolution,[status(thm)],[21152, 21168])).
% 50.76/33.37 tff(21170,plain,
% 50.76/33.37 (~node42(c_p0, s2)),
% 50.76/33.37 inference(unit_resolution,[status(thm)],[11284, 8170, 2622])).
% 50.76/33.37 tff(21171,plain,
% 50.76/33.37 (~node39(c_p0, s2, s3)),
% 50.76/33.37 inference(unit_resolution,[status(thm)],[21143, 21134, 21135])).
% 50.76/33.37 tff(21172,assumption,(~node43(c_p0, s2)), introduced(assumption)).
% 50.76/33.37 tff(21173,plain,
% 50.76/33.37 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | ((~m_processor_v_snoop(c_p0, s2, c_invalid)) | m_processor_v_snoop(c_p0, s3, c_invalid) | (~node44(c_p0, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | (~m_processor_v_snoop(c_p0, s2, c_invalid)) | m_processor_v_snoop(c_p0, s3, c_invalid) | (~node44(c_p0, s2, s3)))),
% 50.76/33.37 inference(rewrite,[status(thm)],[])).
% 50.76/33.37 tff(21174,plain,
% 50.76/33.37 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | ((~m_processor_v_snoop(c_p0, s2, c_invalid)) | m_processor_v_snoop(c_p0, s3, c_invalid) | (~node44(c_p0, s2, s3)))),
% 50.76/33.37 inference(quant_inst,[status(thm)],[])).
% 50.76/33.37 tff(21175,plain,
% 50.76/33.37 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | (~m_processor_v_snoop(c_p0, s2, c_invalid)) | m_processor_v_snoop(c_p0, s3, c_invalid) | (~node44(c_p0, s2, s3))),
% 50.76/33.37 inference(modus_ponens,[status(thm)],[21174, 21173])).
% 50.76/33.37 tff(21176,plain,
% 50.76/33.37 ($false),
% 50.76/33.37 inference(unit_resolution,[status(thm)],[21175, 7470, 21135, 11352, 21134])).
% 50.76/33.37 tff(21177,plain,((~m_processor_v_snoop(c_p0, s2, c_invalid)) | (~node44(c_p0, s2, s3)) | m_processor_v_snoop(c_p0, s3, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.76/33.37 tff(21178,plain,
% 50.76/33.37 (~node44(c_p0, s2, s3)),
% 50.76/33.37 inference(unit_resolution,[status(thm)],[21177, 21134, 21135])).
% 50.76/33.37 tff(21179,plain,
% 50.76/33.37 (m_processor_v_abort(c_p0, s2)),
% 50.76/33.37 inference(unit_resolution,[status(thm)],[11278, 21178, 11293, 11292, 21172, 11260])).
% 50.76/33.37 tff(21180,plain,
% 50.76/33.37 ($false),
% 50.76/33.37 inference(unit_resolution,[status(thm)],[21152, 21179, 21171])).
% 50.76/33.37 tff(21181,plain,(m_processor_v_snoop(c_p0, s3, c_invalid) | node41(c_p0, s2) | node40(c_p0, s2) | node43(c_p0, s2) | node42(c_p0, s2) | (~m_processor_v_snoop(c_p0, s2, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 50.76/33.37 tff(21182,plain,
% 50.76/33.37 (m_processor_v_snoop(c_p0, s3, c_invalid) | node41(c_p0, s2) | node40(c_p0, s2) | node43(c_p0, s2) | node42(c_p0, s2)),
% 50.76/33.37 inference(unit_resolution,[status(thm)],[21181, 11198])).
% 50.76/33.37 tff(21183,plain,
% 50.76/33.37 ($false),
% 50.76/33.37 inference(unit_resolution,[status(thm)],[21182, 21170, 11265, 21134, 11293, 11292])).
% 50.76/33.37 tff(21184,plain,(m_processor_v_master(c_p0, s2) | m_processor_v_snoop(c_p0, s3, c_invalid) | node41(c_p0, s2) | node40(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 50.76/33.38 tff(21185,plain,
% 50.76/33.38 (m_processor_v_master(c_p0, s2)),
% 50.76/33.38 inference(unit_resolution,[status(thm)],[21184, 21167, 21134, 21160])).
% 50.76/33.38 tff(21186,plain,
% 50.76/33.38 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node41(c_p0, s2) | node40(c_p0, s2) | m_processor_v_snoop(c_p0, s3, c_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)) | (~node45(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node41(c_p0, s2) | node40(c_p0, s2) | m_processor_v_snoop(c_p0, s3, c_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)) | (~node45(c_p0, s2, s3)))),
% 50.76/33.38 inference(rewrite,[status(thm)],[])).
% 50.76/33.38 tff(21187,plain,
% 50.76/33.38 (((~m_processor_v_master(c_p0, s2)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s2) | node40(c_p0, s2) | node41(c_p0, s2) | (~node45(c_p0, s2, s3)) | m_processor_v_snoop(c_p0, s3, c_invalid)) <=> ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node41(c_p0, s2) | node40(c_p0, s2) | m_processor_v_snoop(c_p0, s3, c_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)) | (~node45(c_p0, s2, s3)))),
% 50.76/33.38 inference(rewrite,[status(thm)],[])).
% 50.76/33.38 tff(21188,plain,
% 50.76/33.38 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s2)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s2) | node40(c_p0, s2) | node41(c_p0, s2) | (~node45(c_p0, s2, s3)) | m_processor_v_snoop(c_p0, s3, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node41(c_p0, s2) | node40(c_p0, s2) | m_processor_v_snoop(c_p0, s3, c_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)) | (~node45(c_p0, s2, s3))))),
% 50.76/33.38 inference(monotonicity,[status(thm)],[21187])).
% 50.76/33.38 tff(21189,plain,
% 50.76/33.38 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s2)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s2) | node40(c_p0, s2) | node41(c_p0, s2) | (~node45(c_p0, s2, s3)) | m_processor_v_snoop(c_p0, s3, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node41(c_p0, s2) | node40(c_p0, s2) | m_processor_v_snoop(c_p0, s3, c_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)) | (~node45(c_p0, s2, s3)))),
% 50.76/33.38 inference(transitivity,[status(thm)],[21188, 21186])).
% 50.76/33.38 tff(21190,plain,
% 50.76/33.38 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s2)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s2) | node40(c_p0, s2) | node41(c_p0, s2) | (~node45(c_p0, s2, s3)) | m_processor_v_snoop(c_p0, s3, c_invalid))),
% 50.76/33.38 inference(quant_inst,[status(thm)],[])).
% 50.76/33.38 tff(21191,plain,
% 50.76/33.38 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node41(c_p0, s2) | node40(c_p0, s2) | m_processor_v_snoop(c_p0, s3, c_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)) | (~node45(c_p0, s2, s3))),
% 50.76/33.38 inference(modus_ponens,[status(thm)],[21190, 21189])).
% 50.76/33.38 tff(21192,plain,
% 50.76/33.38 ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node41(c_p0, s2) | node40(c_p0, s2) | m_processor_v_snoop(c_p0, s3, c_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid))),
% 50.76/33.38 inference(unit_resolution,[status(thm)],[21191, 7563, 11271])).
% 50.76/33.38 tff(21193,plain,
% 50.76/33.38 (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)),
% 50.76/33.38 inference(unit_resolution,[status(thm)],[21192, 21185, 21134, 21167, 21169, 21160])).
% 50.76/33.38 tff(21194,plain,
% 50.76/33.38 (~node42(c_p0, s2)),
% 50.76/33.38 inference(unit_resolution,[status(thm)],[11319, 21193])).
% 50.76/33.38 tff(21195,plain,
% 50.76/33.38 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node42(c_p0, s2) | node41(c_p0, s2) | node40(c_p0, s2) | m_processor_v_snoop(c_p0, s3, c_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)) | (~node45(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node42(c_p0, s2) | node41(c_p0, s2) | node40(c_p0, s2) | m_processor_v_snoop(c_p0, s3, c_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)) | (~node45(c_p0, s2, s3)))),
% 50.76/33.38 inference(rewrite,[status(thm)],[])).
% 50.76/33.38 tff(21196,plain,
% 50.76/33.38 (((~m_processor_v_master(c_p0, s2)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s2) | node40(c_p0, s2) | node41(c_p0, s2) | node42(c_p0, s2) | (~node45(c_p0, s2, s3)) | m_processor_v_snoop(c_p0, s3, c_invalid)) <=> ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node42(c_p0, s2) | node41(c_p0, s2) | node40(c_p0, s2) | m_processor_v_snoop(c_p0, s3, c_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)) | (~node45(c_p0, s2, s3)))),
% 50.76/33.38 inference(rewrite,[status(thm)],[])).
% 50.76/33.38 tff(21197,plain,
% 50.76/33.38 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s2)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s2) | node40(c_p0, s2) | node41(c_p0, s2) | node42(c_p0, s2) | (~node45(c_p0, s2, s3)) | m_processor_v_snoop(c_p0, s3, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node42(c_p0, s2) | node41(c_p0, s2) | node40(c_p0, s2) | m_processor_v_snoop(c_p0, s3, c_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)) | (~node45(c_p0, s2, s3))))),
% 50.76/33.38 inference(monotonicity,[status(thm)],[21196])).
% 50.76/33.38 tff(21198,plain,
% 50.76/33.38 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s2)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s2) | node40(c_p0, s2) | node41(c_p0, s2) | node42(c_p0, s2) | (~node45(c_p0, s2, s3)) | m_processor_v_snoop(c_p0, s3, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node42(c_p0, s2) | node41(c_p0, s2) | node40(c_p0, s2) | m_processor_v_snoop(c_p0, s3, c_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)) | (~node45(c_p0, s2, s3)))),
% 50.76/33.38 inference(transitivity,[status(thm)],[21197, 21195])).
% 50.76/33.38 tff(21199,plain,
% 50.76/33.38 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s2)) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s2) | node40(c_p0, s2) | node41(c_p0, s2) | node42(c_p0, s2) | (~node45(c_p0, s2, s3)) | m_processor_v_snoop(c_p0, s3, c_invalid))),
% 50.76/33.38 inference(quant_inst,[status(thm)],[])).
% 50.76/33.38 tff(21200,plain,
% 50.76/33.38 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node42(c_p0, s2) | node41(c_p0, s2) | node40(c_p0, s2) | m_processor_v_snoop(c_p0, s3, c_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)) | (~node45(c_p0, s2, s3))),
% 50.76/33.38 inference(modus_ponens,[status(thm)],[21199, 21198])).
% 50.76/33.38 tff(21201,plain,
% 50.76/33.38 ((~m_processor_v_master(c_p0, s2)) | m_processor_v_abort(c_p0, s2) | node42(c_p0, s2) | node41(c_p0, s2) | node40(c_p0, s2) | m_processor_v_snoop(c_p0, s3, c_invalid) | (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared))),
% 50.76/33.38 inference(unit_resolution,[status(thm)],[21200, 7615, 11271])).
% 50.76/33.38 tff(21202,plain,
% 50.76/33.38 (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)),
% 50.76/33.38 inference(unit_resolution,[status(thm)],[21201, 21194, 21134, 21185, 21169, 21167, 21160])).
% 50.76/33.38 tff(21203,plain,
% 50.76/33.38 (node43(c_p0, s2)),
% 50.76/33.38 inference(unit_resolution,[status(thm)],[21182, 21194, 21134, 21160, 21167])).
% 50.76/33.38 tff(21204,plain,
% 50.76/33.38 ($false),
% 50.76/33.38 inference(unit_resolution,[status(thm)],[11311, 21203, 21202])).
% 50.76/33.38 tff(21205,plain,(m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_snoop(c_p0, s3, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.76/33.38 tff(21206,plain,
% 50.76/33.38 (m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 50.76/33.38 inference(unit_resolution,[status(thm)],[21205, 21132])).
% 50.76/33.38 tff(21207,plain,
% 50.76/33.38 (~m_processor_v_master(c_p0, s2)),
% 50.76/33.38 inference(unit_resolution,[status(thm)],[5512, 21206, 20152, 21153])).
% 50.76/33.38 tff(21208,plain,
% 50.76/33.38 (m_processor_v_state(c_p0, s2, c_owned)),
% 50.76/33.38 inference(unit_resolution,[status(thm)],[2775, 21207, 19498])).
% 50.76/33.38 tff(21209,plain,
% 50.76/33.38 (m_processor_v_snoop(c_p0, s3, c_shared)),
% 50.76/33.38 inference(unit_resolution,[status(thm)],[19837, 21208, 21206, 21153, 21207])).
% 50.76/33.38 tff(21210,plain,
% 50.76/33.38 (m_processor_v_snoop(c_p0, s4, c_owned)),
% 50.76/33.38 inference(unit_resolution,[status(thm)],[20082, 21125, 19541, 19857, 19540, 19536, 19526, 19522, 21052, 19451, 19503])).
% 50.76/33.38 tff(21211,plain,
% 50.76/33.38 (m_processor_v_snoop(c_p0, s3, c_owned)),
% 50.76/33.38 inference(unit_resolution,[status(thm)],[19849, 21210, 20113])).
% 50.76/33.38 tff(21212,plain,
% 50.76/33.38 ($false),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[19841, 8775, 21211, 21209])).
% 50.77/33.38 tff(21213,plain,(m_processor_v_master(c_p1, s4) | m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_state(c_p1, s4, c_shared) | node67(s9) | node67(s6) | node67(s7) | node67(s8) | (~m_processor_v_state(c_p1, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.77/33.38 tff(21214,plain,
% 50.77/33.38 (m_processor_v_master(c_p1, s4)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[21213, 6657, 5656, 5949, 5668, 5667, 5932, 13853])).
% 50.77/33.38 tff(21215,plain,
% 50.77/33.38 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | ((~m_processor_v_master(c_p1, s4)) | (~node49(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | (~m_processor_v_master(c_p1, s4)) | (~node49(c_p1, s4)))),
% 50.77/33.38 inference(rewrite,[status(thm)],[])).
% 50.77/33.38 tff(21216,plain,
% 50.77/33.38 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | ((~m_processor_v_master(c_p1, s4)) | (~node49(c_p1, s4)))),
% 50.77/33.38 inference(quant_inst,[status(thm)],[])).
% 50.77/33.38 tff(21217,plain,
% 50.77/33.38 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | (~m_processor_v_master(c_p1, s4)) | (~node49(c_p1, s4))),
% 50.77/33.38 inference(modus_ponens,[status(thm)],[21216, 21215])).
% 50.77/33.38 tff(21218,plain,
% 50.77/33.38 (~node49(c_p1, s4)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[21217, 16755, 1432])).
% 50.77/33.38 tff(21219,plain,
% 50.77/33.38 (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[19267, 1425, 19191, 1432])).
% 50.77/33.38 tff(21220,plain,
% 50.77/33.38 (~node47(c_p1, s4)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[19271, 657, 21219])).
% 50.77/33.38 tff(21221,plain,
% 50.77/33.38 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | ((~m_processor_v_master(c_p1, s4)) | (~node50(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | (~m_processor_v_master(c_p1, s4)) | (~node50(c_p1, s4)))),
% 50.77/33.38 inference(rewrite,[status(thm)],[])).
% 50.77/33.38 tff(21222,plain,
% 50.77/33.38 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | ((~m_processor_v_master(c_p1, s4)) | (~node50(c_p1, s4)))),
% 50.77/33.38 inference(quant_inst,[status(thm)],[])).
% 50.77/33.38 tff(21223,plain,
% 50.77/33.38 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | (~m_processor_v_master(c_p1, s4)) | (~node50(c_p1, s4))),
% 50.77/33.38 inference(modus_ponens,[status(thm)],[21222, 21221])).
% 50.77/33.38 tff(21224,plain,
% 50.77/33.38 (~node50(c_p1, s4)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[21223, 16866, 1432])).
% 50.77/33.38 tff(21225,plain,
% 50.77/33.38 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | ((~m_processor_v_master(c_p1, s4)) | (~node51(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | (~m_processor_v_master(c_p1, s4)) | (~node51(c_p1, s4)))),
% 50.77/33.38 inference(rewrite,[status(thm)],[])).
% 50.77/33.38 tff(21226,plain,
% 50.77/33.38 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | ((~m_processor_v_master(c_p1, s4)) | (~node51(c_p1, s4)))),
% 50.77/33.38 inference(quant_inst,[status(thm)],[])).
% 50.77/33.38 tff(21227,plain,
% 50.77/33.38 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | (~m_processor_v_master(c_p1, s4)) | (~node51(c_p1, s4))),
% 50.77/33.38 inference(modus_ponens,[status(thm)],[21226, 21225])).
% 50.77/33.38 tff(21228,plain,
% 50.77/33.38 (~node51(c_p1, s4)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[21227, 16894, 1432])).
% 50.77/33.38 tff(21229,plain,
% 50.77/33.38 (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[19259, 21220, 19191, 1432, 1425])).
% 50.77/33.38 tff(21230,plain,
% 50.77/33.38 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p1, s4, c_read_h_owned) | (~node48(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | (~node48(c_p1, s4)))),
% 50.77/33.38 inference(rewrite,[status(thm)],[])).
% 50.77/33.38 tff(21231,plain,
% 50.77/33.38 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p1, s4, c_read_h_owned) | (~node48(c_p1, s4)))),
% 50.77/33.38 inference(quant_inst,[status(thm)],[])).
% 50.77/33.38 tff(21232,plain,
% 50.77/33.38 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | (~node48(c_p1, s4))),
% 50.77/33.38 inference(modus_ponens,[status(thm)],[21231, 21230])).
% 50.77/33.38 tff(21233,plain,
% 50.77/33.38 (~node48(c_p1, s4)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[21232, 16883, 21229])).
% 50.77/33.38 tff(21234,plain,
% 50.77/33.38 (m_processor_v_state(c_p1, s4, c_owned)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[19242, 21229, 559, 160, 6657])).
% 50.77/33.38 tff(21235,plain,
% 50.77/33.38 (m_processor_v_waiting(c_p1, s4)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[10617, 10614, 21234, 6556])).
% 50.77/33.38 tff(21236,plain,
% 50.77/33.38 (~node52(c_p1, s4, s5)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[19535, 21235, 19191])).
% 50.77/33.38 tff(21237,plain,
% 50.77/33.38 ($false),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[19972, 21236, 21233, 21228, 21224, 21220, 1425, 21218])).
% 50.77/33.38 tff(21238,plain,(m_processor_v_abort(c_p1, s4) | m_processor_v_waiting(c_p1, s5) | m_processor_v_writable(c_p1, s4) | m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_master(c_p1, s4))), inference(lemma,lemma(discharge,[]))).
% 50.77/33.38 tff(21239,plain,
% 50.77/33.38 (m_processor_v_abort(c_p1, s4)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[21238, 6657, 13508, 19134, 19107, 19117, 21214])).
% 50.77/33.38 tff(21240,plain,
% 50.77/33.38 (node46(c_p1, s4, s5)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[19521, 21239])).
% 50.77/33.38 tff(21241,plain,
% 50.77/33.38 (~m_processor_v_waiting(c_p1, s4)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[19513, 21240, 19117])).
% 50.77/33.38 tff(21242,plain,
% 50.77/33.38 (node32(c_p1, s4, s5)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[6859, 21239])).
% 50.77/33.38 tff(21243,plain,
% 50.77/33.38 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[16706, 21242, 19134])).
% 50.77/33.38 tff(21244,plain,
% 50.77/33.38 (m_processor_v_state(c_p1, s4, c_owned)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[6848, 21243, 6657])).
% 50.77/33.38 tff(21245,plain,
% 50.77/33.38 ($false),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[10617, 10614, 21244, 13508, 21241])).
% 50.77/33.38 tff(21246,plain,(m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s3, c_owned) | node67(s9) | node67(s6) | node67(s7) | node67(s8) | (~m_processor_v_state(c_p1, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.77/33.38 tff(21247,plain,
% 50.77/33.38 (m_processor_v_state(c_p1, s4, c_shared)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[21246, 5656, 5949, 5668, 5667, 5932, 13853])).
% 50.77/33.38 tff(21248,plain,
% 50.77/33.38 (~node32(c_p1, s4, s5)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[19139, 21247, 19107])).
% 50.77/33.38 tff(21249,plain,
% 50.77/33.38 (~m_processor_v_abort(c_p1, s4)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[6859, 21248])).
% 50.77/33.38 tff(21250,plain,
% 50.77/33.38 (m_processor_v_master(c_p1, s4)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[19185, 21247, 19134, 19107])).
% 50.77/33.38 tff(21251,plain,
% 50.77/33.38 (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[19267, 21249, 19117, 21250])).
% 50.77/33.38 tff(21252,plain,
% 50.77/33.38 (~node47(c_p1, s4)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[19271, 657, 21251])).
% 50.77/33.38 tff(21253,plain,
% 50.77/33.38 (node34(c_p1, s4, s5)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[17176, 21249, 21250])).
% 50.77/33.38 tff(21254,plain,
% 50.77/33.38 (~node33(c_p1, s4, s5)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[19285, 399, 21247, 19107])).
% 50.77/33.38 tff(21255,plain,
% 50.77/33.38 (m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[19236, 21254, 19134, 19107, 21253])).
% 50.77/33.38 tff(21256,plain,
% 50.77/33.38 ($false),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[19259, 21255, 21252, 19117, 21250, 21249])).
% 50.77/33.38 tff(21257,plain,(m_processor_v_state(c_p1, s3, c_owned) | node67(s9) | node67(s6) | node67(s7) | node67(s8) | (~m_processor_v_state(c_p1, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.77/33.38 tff(21258,plain,
% 50.77/33.38 (m_processor_v_state(c_p1, s3, c_owned)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[21257, 5949, 52, 6553, 5932, 13853])).
% 50.77/33.38 tff(21259,plain,
% 50.77/33.38 (~m_processor_v_state(c_p1, s3, c_invalid)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[2620, 137, 21258])).
% 50.77/33.38 tff(21260,plain,
% 50.77/33.38 (~node67(s3)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[5653, 2595])).
% 50.77/33.38 tff(21261,plain,
% 50.77/33.38 (~m_processor_v_writable(c_p0, s4)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[67, 28, 62])).
% 50.77/33.38 tff(21262,plain,
% 50.77/33.38 (~m_processor_v_state(c_p0, s5, c_owned)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[1191, 54, 1126])).
% 50.77/33.38 tff(21263,plain,
% 50.77/33.38 (~node56(c_p0, s5)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[19314, 21262])).
% 50.77/33.38 tff(21264,plain,
% 50.77/33.38 (~m_processor_v_writable(c_p0, s5)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[19304, 21263])).
% 50.77/33.38 tff(21265,plain,
% 50.77/33.38 (~node67(s5)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[19296, 21264])).
% 50.77/33.38 tff(21266,plain,
% 50.77/33.38 (node67(s4)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[17905, 21265, 5932, 5949, 5668, 5667, 5091])).
% 50.77/33.38 tff(21267,plain,
% 50.77/33.38 ($false),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[73, 43, 21266, 21261])).
% 50.77/33.38 tff(21268,plain,(m_processor_v_state(c_p0, s4, c_owned) | node67(s8) | node67(s9) | node67(s6) | node67(s7) | m_processor_v_state(c_p1, s3, c_invalid) | m_processor_v_master(c_p0, s4)), inference(lemma,lemma(discharge,[]))).
% 50.77/33.38 tff(21269,plain,
% 50.77/33.38 (m_processor_v_master(c_p0, s4)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[21268, 54, 5949, 52, 6553, 5091, 5932])).
% 50.77/33.38 tff(21270,plain,
% 50.77/33.38 (~node67(s4)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[73, 43, 21261])).
% 50.77/33.38 tff(21271,plain,
% 50.77/33.38 (node67(s5)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[6251, 21270, 5932, 5949, 5671, 52, 6553])).
% 50.77/33.38 tff(21272,plain,
% 50.77/33.38 (m_processor_v_writable(c_p0, s5)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[19296, 21271])).
% 50.77/33.38 tff(21273,plain,
% 50.77/33.38 (node56(c_p0, s5)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[19304, 21272])).
% 50.77/33.38 tff(21274,plain,
% 50.77/33.38 (m_processor_v_state(c_p0, s5, c_owned)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[19314, 21273])).
% 50.77/33.38 tff(21275,plain,
% 50.77/33.38 (m_processor_v_master(c_p0, s4)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[1191, 21274, 54])).
% 50.77/33.38 tff(21276,assumption,(m_processor_v_waiting(c_p0, s5)), introduced(assumption)).
% 50.77/33.38 tff(21277,plain,
% 50.77/33.38 (((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p0, s5)) | (~node56(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p0, s5)) | (~node56(c_p0, s5)))),
% 50.77/33.38 inference(rewrite,[status(thm)],[])).
% 50.77/33.38 tff(21278,plain,
% 50.77/33.38 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p0, s5)) | (~node56(c_p0, s5)))),
% 50.77/33.38 inference(quant_inst,[status(thm)],[])).
% 50.77/33.38 tff(21279,plain,
% 50.77/33.38 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p0, s5)) | (~node56(c_p0, s5))),
% 50.77/33.38 inference(modus_ponens,[status(thm)],[21278, 21277])).
% 50.77/33.38 tff(21280,plain,
% 50.77/33.38 ($false),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[21279, 540, 19306, 21276])).
% 50.77/33.38 tff(21281,plain,((~m_processor_v_waiting(c_p0, s5)) | (~node56(c_p0, s5))), inference(lemma,lemma(discharge,[]))).
% 50.77/33.38 tff(21282,plain,
% 50.77/33.38 (~m_processor_v_waiting(c_p0, s5)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[21281, 21273])).
% 50.77/33.38 tff(21283,plain,
% 50.77/33.38 (~m_processor_v_state(c_p0, s5, c_shared)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[1068, 21274])).
% 50.77/33.38 tff(21284,plain,
% 50.77/33.38 (m_processor_v_master(c_p0, s5)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[6996, 21274, 5])).
% 50.77/33.38 tff(21285,plain,
% 50.77/33.38 (~node32(c_p0, s5, s6)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[6980, 21274, 5])).
% 50.77/33.38 tff(21286,plain,
% 50.77/33.38 (~m_processor_v_abort(c_p0, s5)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[951, 21285])).
% 50.77/33.38 tff(21287,plain,
% 50.77/33.38 (node34(c_p0, s5, s6)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[887, 21286, 21284])).
% 50.77/33.38 tff(21288,plain,
% 50.77/33.38 (~m_processor_v_master(c_p1, s5)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[797, 794, 21284])).
% 50.77/33.38 tff(21289,plain,
% 50.77/33.38 (m_processor_v_cmd(c_p1, s5, c_idle)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[7028, 21288])).
% 50.77/33.38 tff(21290,plain,
% 50.77/33.38 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s5, c_read_h_shared)) | (~m_main_v_CMD(s5, c_write_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s5, c_read_h_shared)) | (~m_main_v_CMD(s5, c_write_h_invalid)))),
% 50.77/33.38 inference(rewrite,[status(thm)],[])).
% 50.77/33.38 tff(21291,plain,
% 50.77/33.38 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s5, c_read_h_shared)) | (~m_main_v_CMD(s5, c_write_h_invalid)))),
% 50.77/33.38 inference(quant_inst,[status(thm)],[])).
% 50.77/33.38 tff(21292,plain,
% 50.77/33.38 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s5, c_read_h_shared)) | (~m_main_v_CMD(s5, c_write_h_invalid))),
% 50.77/33.38 inference(modus_ponens,[status(thm)],[21291, 21290])).
% 50.77/33.38 tff(21293,plain,
% 50.77/33.38 (~m_main_v_CMD(s5, c_write_h_invalid)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[21292, 8958, 13922])).
% 50.77/33.38 tff(21294,plain,
% 50.77/33.38 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s5, c_read_h_shared)) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s5, c_read_h_shared)) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)))),
% 50.77/33.38 inference(rewrite,[status(thm)],[])).
% 50.77/33.38 tff(21295,plain,
% 50.77/33.38 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s5, c_read_h_shared)) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)))),
% 50.77/33.38 inference(quant_inst,[status(thm)],[])).
% 50.77/33.38 tff(21296,plain,
% 50.77/33.38 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s5, c_read_h_shared)) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared))),
% 50.77/33.38 inference(modus_ponens,[status(thm)],[21295, 21294])).
% 50.77/33.38 tff(21297,plain,
% 50.77/33.38 (~m_main_v_CMD(s5, c_write_h_resp_h_shared)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[21296, 7902, 13922])).
% 50.77/33.38 tff(21298,plain,
% 50.77/33.38 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s5, c_read_h_shared)) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s5, c_read_h_shared)) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)))),
% 50.77/33.38 inference(rewrite,[status(thm)],[])).
% 50.77/33.38 tff(21299,plain,
% 50.77/33.38 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s5, c_read_h_shared)) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)))),
% 50.77/33.38 inference(quant_inst,[status(thm)],[])).
% 50.77/33.38 tff(21300,plain,
% 50.77/33.38 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s5, c_read_h_shared)) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid))),
% 50.77/33.38 inference(modus_ponens,[status(thm)],[21299, 21298])).
% 50.77/33.38 tff(21301,plain,
% 50.77/33.38 (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[21300, 7915, 13922])).
% 50.77/33.38 tff(21302,plain,
% 50.77/33.38 (node67(s5)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[6250, 52, 5785, 5671, 5949, 5932, 5667, 5670])).
% 50.77/33.38 tff(21303,plain,
% 50.77/33.38 (m_processor_v_writable(c_p0, s5)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[19294, 43, 21302])).
% 50.77/33.38 tff(21304,plain,
% 50.77/33.38 (~m_processor_v_state(c_p0, s5, c_owned)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[7266, 5, 7146, 7063, 7187, 7181])).
% 50.77/33.38 tff(21305,plain,
% 50.77/33.38 (~node56(c_p0, s5)),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[19314, 21304])).
% 50.77/33.38 tff(21306,plain,
% 50.77/33.38 ($false),
% 50.77/33.38 inference(unit_resolution,[status(thm)],[19302, 28, 21305, 21303])).
% 50.77/33.38 tff(21307,plain,(m_processor_v_state(c_p0, s6, c_owned) | node67(s2) | node67(s3) | node67(s9) | node67(s8) | node67(s7) | node67(s4) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | m_main_v_CMD(s5, c_write_h_resp_h_invalid) | m_main_v_CMD(s5, c_write_h_invalid) | m_main_v_CMD(s5, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.77/33.38 tff(21308,plain,
% 50.77/33.38 (m_processor_v_state(c_p0, s6, c_owned) | node67(s3) | node67(s9) | node67(s8) | node67(s7) | node67(s4) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | m_main_v_CMD(s5, c_write_h_resp_h_invalid) | m_main_v_CMD(s5, c_write_h_invalid) | m_main_v_CMD(s5, c_write_h_resp_h_shared)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[21307, 5747])).
% 50.77/33.39 tff(21309,plain,
% 50.77/33.39 ($false),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[21308, 21301, 21297, 5, 5932, 5667, 5949, 5671, 7146, 5670, 21293])).
% 50.77/33.39 tff(21310,plain,((~m_main_v_CMD(s5, c_read_h_shared)) | m_processor_v_state(c_p0, s6, c_owned) | node67(s8) | node67(s7) | node67(s9) | node67(s3) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | node67(s4)), inference(lemma,lemma(discharge,[]))).
% 50.77/33.39 tff(21311,plain,
% 50.77/33.39 (~m_main_v_CMD(s5, c_read_h_shared)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[21310, 21289, 5932, 5, 6553, 5949, 5671, 21270])).
% 50.77/33.39 tff(21312,plain,
% 50.77/33.39 ($false),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[7124, 1275, 7202, 13589])).
% 50.77/33.39 tff(21313,plain,((~m_processor_v_master(c_p0, s5)) | (~node17(s5))), inference(lemma,lemma(discharge,[]))).
% 50.77/33.39 tff(21314,plain,
% 50.77/33.39 (~node17(s5)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[21313, 21284])).
% 50.77/33.39 tff(21315,plain,
% 50.77/33.39 (~m_memory_v_master(c_m, s5)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[13600, 21314])).
% 50.77/33.39 tff(21316,plain,
% 50.77/33.39 (~node29(c_m, s5)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[7136, 21315])).
% 50.77/33.39 tff(21317,plain,
% 50.77/33.39 (m_memory_v_cmd(c_m, s5, c_idle)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[7144, 21316])).
% 50.77/33.39 tff(21318,assumption,(node16(s5)), introduced(assumption)).
% 50.77/33.39 tff(21319,plain,
% 50.77/33.39 ($false),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[7066, 1530, 7202, 21318])).
% 50.77/33.39 tff(21320,plain,((~m_processor_v_master(c_p0, s5)) | (~node16(s5))), inference(lemma,lemma(discharge,[]))).
% 50.77/33.39 tff(21321,plain,
% 50.77/33.39 (~node16(s5)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[21320, 21284])).
% 50.77/33.39 tff(21322,plain,
% 50.77/33.39 (~m_processor_v_master(c_p2, s5)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[13953, 21321])).
% 50.77/33.39 tff(21323,plain,
% 50.77/33.39 (m_processor_v_cmd(c_p2, s5, c_idle)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[7120, 21322])).
% 50.77/33.39 tff(21324,plain,
% 50.77/33.39 (node8(s5)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[7152, 1593, 21323, 21317, 21289])).
% 50.77/33.39 tff(21325,plain,
% 50.77/33.39 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s5, c_read_h_shared) | (~node8(s5)) | (~m_processor_v_cmd(c_p0, s5, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s5, c_read_h_shared) | (~node8(s5)) | (~m_processor_v_cmd(c_p0, s5, c_read_h_shared)))),
% 50.77/33.39 inference(rewrite,[status(thm)],[])).
% 50.77/33.39 tff(21326,plain,
% 50.77/33.39 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s5, c_read_h_shared) | (~node8(s5)) | (~m_processor_v_cmd(c_p0, s5, c_read_h_shared)))),
% 50.77/33.39 inference(quant_inst,[status(thm)],[])).
% 50.77/33.39 tff(21327,plain,
% 50.77/33.39 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s5, c_read_h_shared) | (~node8(s5)) | (~m_processor_v_cmd(c_p0, s5, c_read_h_shared))),
% 50.77/33.39 inference(modus_ponens,[status(thm)],[21326, 21325])).
% 50.77/33.39 tff(21328,plain,
% 50.77/33.39 (~m_processor_v_cmd(c_p0, s5, c_read_h_shared)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[21327, 1669, 13912, 7155])).
% 50.77/33.39 tff(21329,plain,
% 50.77/33.39 (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[18084, 13912])).
% 50.77/33.39 tff(21330,plain,
% 50.77/33.39 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_state(c_p0, s6, c_owned) | (~node34(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_state(c_p0, s6, c_owned) | (~node34(c_p0, s5, s6)))),
% 50.77/33.39 inference(rewrite,[status(thm)],[])).
% 50.77/33.39 tff(21331,plain,
% 50.77/33.39 (((~node34(c_p0, s5, s6)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_CMD(c_p0, s5, c_read_h_owned))) <=> ((~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_state(c_p0, s6, c_owned) | (~node34(c_p0, s5, s6)))),
% 50.77/33.39 inference(rewrite,[status(thm)],[])).
% 50.77/33.39 tff(21332,plain,
% 50.77/33.39 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p0, s5, s6)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_state(c_p0, s6, c_owned) | (~node34(c_p0, s5, s6))))),
% 50.77/33.39 inference(monotonicity,[status(thm)],[21331])).
% 50.77/33.39 tff(21333,plain,
% 50.77/33.39 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p0, s5, s6)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_state(c_p0, s6, c_owned) | (~node34(c_p0, s5, s6)))),
% 50.77/33.39 inference(transitivity,[status(thm)],[21332, 21330])).
% 50.77/33.39 tff(21334,plain,
% 50.77/33.39 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p0, s5, s6)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)))),
% 50.77/33.39 inference(quant_inst,[status(thm)],[])).
% 50.77/33.39 tff(21335,plain,
% 50.77/33.39 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_state(c_p0, s6, c_owned) | (~node34(c_p0, s5, s6))),
% 50.77/33.39 inference(modus_ponens,[status(thm)],[21334, 21333])).
% 50.77/33.39 tff(21336,plain,
% 50.77/33.39 ((~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | m_processor_v_CMD(c_p0, s5, c_read_h_shared)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[21335, 1864, 5, 913])).
% 50.77/33.39 tff(21337,plain,
% 50.77/33.39 (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[21336, 21329])).
% 50.77/33.39 tff(21338,plain,
% 50.77/33.39 (~m_main_v_CMD(s5, c_read_h_owned)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[13849, 21337])).
% 50.77/33.39 tff(21339,plain,
% 50.77/33.39 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s5, c_read_h_owned) | (~node8(s5)) | (~m_processor_v_cmd(c_p0, s5, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s5, c_read_h_owned) | (~node8(s5)) | (~m_processor_v_cmd(c_p0, s5, c_read_h_owned)))),
% 50.77/33.39 inference(rewrite,[status(thm)],[])).
% 50.77/33.39 tff(21340,plain,
% 50.77/33.39 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s5, c_read_h_owned) | (~node8(s5)) | (~m_processor_v_cmd(c_p0, s5, c_read_h_owned)))),
% 50.77/33.39 inference(quant_inst,[status(thm)],[])).
% 50.77/33.39 tff(21341,plain,
% 50.77/33.39 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | m_main_v_CMD(s5, c_read_h_owned) | (~node8(s5)) | (~m_processor_v_cmd(c_p0, s5, c_read_h_owned))),
% 50.77/33.39 inference(modus_ponens,[status(thm)],[21340, 21339])).
% 50.77/33.39 tff(21342,plain,
% 50.77/33.39 (~m_processor_v_cmd(c_p0, s5, c_read_h_owned)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[21341, 1669, 21338, 7155])).
% 50.77/33.39 tff(21343,plain,
% 50.77/33.39 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p0, s5)) | (~m_processor_v_state(c_p0, s5, c_invalid)) | m_processor_v_cmd(c_p0, s5, c_read_h_owned) | m_processor_v_cmd(c_p0, s5, c_read_h_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p0, s5)) | (~m_processor_v_state(c_p0, s5, c_invalid)) | m_processor_v_cmd(c_p0, s5, c_read_h_owned) | m_processor_v_cmd(c_p0, s5, c_read_h_shared))),
% 50.77/33.39 inference(rewrite,[status(thm)],[])).
% 50.77/33.39 tff(21344,plain,
% 50.77/33.39 ((m_processor_v_cmd(c_p0, s5, c_read_h_owned) | m_processor_v_cmd(c_p0, s5, c_read_h_shared) | (~m_processor_v_state(c_p0, s5, c_invalid)) | (~m_processor_v_master(c_p0, s5))) <=> ((~m_processor_v_master(c_p0, s5)) | (~m_processor_v_state(c_p0, s5, c_invalid)) | m_processor_v_cmd(c_p0, s5, c_read_h_owned) | m_processor_v_cmd(c_p0, s5, c_read_h_shared))),
% 50.77/33.39 inference(rewrite,[status(thm)],[])).
% 50.77/33.39 tff(21345,plain,
% 50.77/33.39 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s5, c_read_h_owned) | m_processor_v_cmd(c_p0, s5, c_read_h_shared) | (~m_processor_v_state(c_p0, s5, c_invalid)) | (~m_processor_v_master(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p0, s5)) | (~m_processor_v_state(c_p0, s5, c_invalid)) | m_processor_v_cmd(c_p0, s5, c_read_h_owned) | m_processor_v_cmd(c_p0, s5, c_read_h_shared)))),
% 50.77/33.39 inference(monotonicity,[status(thm)],[21344])).
% 50.77/33.39 tff(21346,plain,
% 50.77/33.39 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s5, c_read_h_owned) | m_processor_v_cmd(c_p0, s5, c_read_h_shared) | (~m_processor_v_state(c_p0, s5, c_invalid)) | (~m_processor_v_master(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p0, s5)) | (~m_processor_v_state(c_p0, s5, c_invalid)) | m_processor_v_cmd(c_p0, s5, c_read_h_owned) | m_processor_v_cmd(c_p0, s5, c_read_h_shared))),
% 50.77/33.39 inference(transitivity,[status(thm)],[21345, 21343])).
% 50.77/33.39 tff(21347,plain,
% 50.77/33.39 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p0, s5, c_read_h_owned) | m_processor_v_cmd(c_p0, s5, c_read_h_shared) | (~m_processor_v_state(c_p0, s5, c_invalid)) | (~m_processor_v_master(c_p0, s5)))),
% 50.77/33.39 inference(quant_inst,[status(thm)],[])).
% 50.77/33.39 tff(21348,plain,
% 50.77/33.39 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p0, s5)) | (~m_processor_v_state(c_p0, s5, c_invalid)) | m_processor_v_cmd(c_p0, s5, c_read_h_owned) | m_processor_v_cmd(c_p0, s5, c_read_h_shared)),
% 50.77/33.39 inference(modus_ponens,[status(thm)],[21347, 21346])).
% 50.77/33.39 tff(21349,plain,
% 50.77/33.39 (m_processor_v_cmd(c_p0, s5, c_read_h_owned) | m_processor_v_cmd(c_p0, s5, c_read_h_shared)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[21348, 1835, 970, 7202])).
% 50.77/33.39 tff(21350,plain,
% 50.77/33.39 ($false),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[21349, 21342, 21328])).
% 50.77/33.39 tff(21351,plain,(m_main_v_CMD(s5, c_read_h_shared) | (~m_processor_v_state(c_p0, s5, c_invalid)) | (~m_processor_v_master(c_p0, s5)) | (~node8(s5)) | m_processor_v_state(c_p0, s6, c_owned) | (~node34(c_p0, s5, s6))), inference(lemma,lemma(discharge,[]))).
% 50.77/33.39 tff(21352,plain,
% 50.77/33.39 (~m_processor_v_state(c_p0, s5, c_invalid)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[21351, 21324, 21311, 5, 21284, 21287])).
% 50.77/33.39 tff(21353,plain,
% 50.77/33.39 (~node32(c_p0, s4, s5)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[1103, 21352, 54, 21283])).
% 50.77/33.39 tff(21354,plain,
% 50.77/33.39 (~m_processor_v_abort(c_p0, s4)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[1124, 21353])).
% 50.77/33.39 tff(21355,plain,
% 50.77/33.39 (~node16(s4)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[1535, 21275])).
% 50.77/33.39 tff(21356,plain,
% 50.77/33.39 (~m_processor_v_master(c_p2, s4)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[1550, 21355])).
% 50.77/33.39 tff(21357,plain,
% 50.77/33.39 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[1582, 21356])).
% 50.77/33.39 tff(21358,plain,
% 50.77/33.39 (~node17(s4)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[1280, 21275])).
% 50.77/33.39 tff(21359,plain,
% 50.77/33.39 (~m_memory_v_master(c_m, s4)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[1295, 21358])).
% 50.77/33.39 tff(21360,plain,
% 50.77/33.39 (~node29(c_m, s4)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[1310, 21359])).
% 50.77/33.39 tff(21361,plain,
% 50.77/33.39 (m_memory_v_cmd(c_m, s4, c_idle)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[1325, 21360])).
% 50.77/33.39 tff(21362,plain,
% 50.77/33.39 (node8(s4)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[1678, 21361, 21357])).
% 50.77/33.39 tff(21363,plain,
% 50.77/33.39 (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[1204, 21354, 21282, 21275])).
% 50.77/33.39 tff(21364,plain,
% 50.77/33.39 (~m_main_v_CMD(s4, c_read_h_shared)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[1236, 21363])).
% 50.77/33.39 tff(21365,plain,
% 50.77/33.39 (~m_processor_v_state(c_p0, s4, c_shared)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[2199, 21364, 21275, 1620, 21282, 21362, 54, 1601])).
% 50.77/33.39 tff(21366,plain,
% 50.77/33.39 (m_processor_v_state(c_p0, s4, c_invalid)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[1101, 21365, 54])).
% 50.77/33.39 tff(21367,plain,
% 50.77/33.39 (~node32(c_p0, s4, s5)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[1093, 814, 1085])).
% 50.77/33.39 tff(21368,plain,
% 50.77/33.39 (~m_processor_v_abort(c_p0, s4)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[1124, 21367])).
% 50.77/33.39 tff(21369,plain,
% 50.77/33.39 (m_processor_v_master(c_p0, s4)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[1147, 1060, 54, 1802])).
% 50.77/33.39 tff(21370,plain,
% 50.77/33.39 (~node34(c_p0, s4, s5)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[2253, 1069, 1085, 1160, 814])).
% 50.77/33.39 tff(21371,plain,
% 50.77/33.39 ($false),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[1333, 21370, 21369, 21368])).
% 50.77/33.39 tff(21372,plain,((~m_processor_v_state(c_p0, s5, c_owned)) | (~m_processor_v_state(c_p0, s4, c_invalid)) | m_processor_v_CMD(c_p0, s4, c_read_h_owned) | m_processor_v_state(c_p0, s5, c_invalid) | m_processor_v_state(c_p0, s4, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.77/33.39 tff(21373,plain,
% 50.77/33.39 (m_processor_v_CMD(c_p0, s4, c_read_h_owned)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[21372, 21366, 21352, 21274, 54])).
% 50.77/33.39 tff(21374,plain,
% 50.77/33.39 (node47(c_p0, s4)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[1345, 21373, 21354, 21282, 21275])).
% 50.77/33.39 tff(21375,plain,
% 50.77/33.39 ($false),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[1337, 657, 21363, 21374])).
% 50.77/33.39 tff(21376,plain,(m_processor_v_state(c_p0, s4, c_owned) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~node60(c_p1, s4)) | m_processor_v_state(c_p0, s6, c_owned) | node67(s8) | node67(s9) | node67(s3)), inference(lemma,lemma(discharge,[]))).
% 50.77/33.39 tff(21377,plain,
% 50.77/33.39 (~m_processor_v_cmd(c_p1, s4, c_idle)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[21376, 54, 1601, 5, 5932, 5949, 5671])).
% 50.77/33.39 tff(21378,plain,
% 50.77/33.39 (m_processor_v_master(c_p1, s4)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[1517, 21377])).
% 50.77/33.39 tff(21379,plain,
% 50.77/33.39 ($false),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[1435, 794, 21378, 21269])).
% 50.77/33.39 tff(21380,plain,(m_processor_v_state(c_p0, s4, c_owned) | (~node60(c_p1, s4)) | m_processor_v_state(c_p0, s6, c_owned) | node67(s8) | node67(s9) | node67(s3) | m_processor_v_state(c_p1, s3, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.77/33.39 tff(21381,plain,
% 50.77/33.39 (m_processor_v_state(c_p0, s4, c_owned)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[21380, 20049, 5, 5932, 5949, 21260, 2621])).
% 50.77/33.39 tff(21382,plain,
% 50.77/33.39 (~node56(c_p0, s4)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[9671, 5494, 2622])).
% 50.77/33.39 tff(21383,plain,
% 50.77/33.39 (~m_processor_v_writable(c_p0, s4)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[67, 28, 21382])).
% 50.77/33.39 tff(21384,plain,
% 50.77/33.39 (~node67(s4)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[73, 43, 21383])).
% 50.77/33.39 tff(21385,plain,
% 50.77/33.39 (node67(s5)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[17905, 21384, 5932, 5949, 5668, 5667, 2621])).
% 50.77/33.39 tff(21386,plain,
% 50.77/33.39 (m_processor_v_writable(c_p0, s5)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[19296, 21385])).
% 50.77/33.39 tff(21387,plain,
% 50.77/33.39 (node56(c_p0, s5)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[19304, 21386])).
% 50.77/33.39 tff(21388,plain,
% 50.77/33.39 (~m_processor_v_waiting(c_p0, s5)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[21281, 21387])).
% 50.77/33.39 tff(21389,plain,
% 50.77/33.39 (m_processor_v_master(c_p0, s3)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[9440, 5494, 6880, 2622])).
% 50.77/33.39 tff(21390,plain,
% 50.77/33.39 (~m_processor_v_master(c_p1, s3)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[9444, 794, 21389])).
% 50.77/33.39 tff(21391,plain,
% 50.77/33.39 (m_processor_v_state(c_p1, s4, c_owned)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[16488, 21390, 2595])).
% 50.77/33.39 tff(21392,plain,
% 50.77/33.39 (m_processor_v_waiting(c_p1, s4) | m_processor_v_writable(c_p1, s4)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[10617, 10614, 6605])).
% 50.77/33.39 tff(21393,plain,
% 50.77/33.39 (m_processor_v_waiting(c_p1, s4)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[21392, 6556])).
% 50.77/33.39 tff(21394,plain,
% 50.77/33.39 (~node67(s4)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[6565, 6556])).
% 50.77/33.39 tff(21395,plain,
% 50.77/33.39 (node67(s5)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[6250, 21394, 5668, 5932, 19548, 5949, 5667, 19545])).
% 50.77/33.39 tff(21396,plain,
% 50.77/33.39 (m_processor_v_state(c_p0, s4, c_owned)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[19450, 21395, 6556])).
% 50.77/33.39 tff(21397,plain,
% 50.77/33.39 (~m_processor_v_state(c_p0, s4, c_invalid)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[1757, 21396])).
% 50.77/33.39 tff(21398,plain,
% 50.77/33.39 (m_processor_v_master(c_p0, s3)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[9440, 21397, 5494, 2622])).
% 50.77/33.39 tff(21399,plain,
% 50.77/33.39 (~m_processor_v_master(c_p1, s3)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[9444, 794, 21398])).
% 50.77/33.39 tff(21400,plain,
% 50.77/33.39 (m_processor_v_cmd(c_p1, s3, c_idle)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[9478, 21399])).
% 50.77/33.39 tff(21401,plain,
% 50.77/33.39 (~node17(s3)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[9486, 21398])).
% 50.77/33.39 tff(21402,plain,
% 50.77/33.39 (~m_memory_v_master(c_m, s3)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[9494, 21401])).
% 50.77/33.39 tff(21403,plain,
% 50.77/33.39 (~node29(c_m, s3)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[9502, 21402])).
% 50.77/33.39 tff(21404,plain,
% 50.77/33.39 (m_memory_v_cmd(c_m, s3, c_idle)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[9510, 21403])).
% 50.77/33.39 tff(21405,plain,
% 50.77/33.39 (node34(c_p0, s3, s4)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[9525, 21397, 9513, 9512])).
% 50.77/33.39 tff(21406,plain,
% 50.77/33.39 (~m_processor_v_state(c_p0, s4, c_shared)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[6888, 21396])).
% 50.77/33.39 tff(21407,plain,
% 50.77/33.39 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[9533, 416, 21406, 21405])).
% 50.77/33.39 tff(21408,plain,
% 50.77/33.39 (~m_main_v_CMD(s3, c_read_h_shared)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[9548, 21407])).
% 50.77/33.39 tff(21409,plain,
% 50.77/33.39 (m_main_v_CMD(s3, c_read_h_owned)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[9642, 21408, 2622, 21397, 21404, 21400, 5494])).
% 50.77/33.39 tff(21410,plain,
% 50.77/33.39 (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[20155, 7953, 21409])).
% 50.77/33.39 tff(21411,plain,
% 50.77/33.39 (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[12154, 1260, 10577, 21410])).
% 50.77/33.39 tff(21412,plain,
% 50.77/33.39 (~node50(c_p1, s3)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[12158, 11598, 21411])).
% 50.77/33.39 tff(21413,plain,
% 50.77/33.39 (~m_main_v_CMD(s3, c_write_h_resp_h_shared)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[20161, 7940, 21409])).
% 50.77/33.39 tff(21414,plain,
% 50.77/33.39 (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[12130, 1260, 10577, 21413])).
% 50.77/33.39 tff(21415,plain,
% 50.77/33.39 (~node51(c_p1, s3)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[12134, 11549, 21414])).
% 50.77/33.39 tff(21416,plain,
% 50.77/33.39 (~m_main_v_CMD(s3, c_response)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[12319, 12316, 21409])).
% 50.77/33.39 tff(21417,plain,
% 50.77/33.39 (~m_processor_v_CMD(c_p1, s3, c_response)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[12142, 1260, 10577, 21416])).
% 50.77/33.39 tff(21418,plain,
% 50.77/33.39 (~node49(c_p1, s3)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[12149, 11579, 21417])).
% 50.77/33.39 tff(21419,plain,
% 50.77/33.39 (~node47(c_p1, s3)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[12111, 12108, 21399])).
% 50.77/33.39 tff(21420,plain,
% 50.77/33.39 (~node48(c_p1, s3)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[12115, 11562, 21399])).
% 50.77/33.39 tff(21421,plain,
% 50.77/33.39 (m_processor_v_CMD(c_p0, s3, c_read_h_owned)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[9653, 21409])).
% 50.77/33.39 tff(21422,plain,
% 50.77/33.39 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~node59(c_p0, s3)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~node59(c_p0, s3)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)))),
% 50.77/33.39 inference(rewrite,[status(thm)],[])).
% 50.77/33.39 tff(21423,plain,
% 50.77/33.39 (((~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | (~node59(c_p0, s3))) <=> ((~node59(c_p0, s3)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)))),
% 50.77/33.39 inference(rewrite,[status(thm)],[])).
% 50.77/33.39 tff(21424,plain,
% 50.77/33.39 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | (~node59(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~node59(c_p0, s3)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned))))),
% 50.77/33.39 inference(monotonicity,[status(thm)],[21423])).
% 50.77/33.39 tff(21425,plain,
% 50.77/33.39 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | (~node59(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~node59(c_p0, s3)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)))),
% 50.77/33.39 inference(transitivity,[status(thm)],[21424, 21422])).
% 50.77/33.39 tff(21426,plain,
% 50.77/33.39 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s3, c_read_h_owned)) | (~node59(c_p0, s3)))),
% 50.77/33.39 inference(quant_inst,[status(thm)],[])).
% 50.77/33.39 tff(21427,plain,
% 50.77/33.39 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~node59(c_p0, s3)) | (~m_processor_v_CMD(c_p0, s3, c_read_h_owned))),
% 50.77/33.39 inference(modus_ponens,[status(thm)],[21426, 21425])).
% 50.77/33.39 tff(21428,plain,
% 50.77/33.39 (~node59(c_p0, s3)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[21427, 707, 21421])).
% 50.77/33.39 tff(21429,plain,
% 50.77/33.39 (~node32(c_p0, s3, s4)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[9389, 21397, 9377])).
% 50.77/33.39 tff(21430,plain,
% 50.77/33.39 (~m_processor_v_abort(c_p0, s3)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[9403, 21429])).
% 50.77/33.39 tff(21431,plain,
% 50.77/33.39 (node60(c_p0, s3)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[10484, 693, 21430])).
% 50.77/33.39 tff(21432,plain,
% 50.77/33.39 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p0, s3)) | (~node60(c_p0, s3)) | node59(c_p0, s3))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p0, s3)) | (~node60(c_p0, s3)) | node59(c_p0, s3))),
% 50.77/33.39 inference(rewrite,[status(thm)],[])).
% 50.77/33.39 tff(21433,plain,
% 50.77/33.39 ((node59(c_p0, s3) | (~node60(c_p0, s3)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s3))) <=> ((~m_processor_v_REPLY_h_WAITING(c_p0, s3)) | (~node60(c_p0, s3)) | node59(c_p0, s3))),
% 50.77/33.39 inference(rewrite,[status(thm)],[])).
% 50.77/33.39 tff(21434,plain,
% 50.77/33.39 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s3) | (~node60(c_p0, s3)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p0, s3)) | (~node60(c_p0, s3)) | node59(c_p0, s3)))),
% 50.77/33.39 inference(monotonicity,[status(thm)],[21433])).
% 50.77/33.39 tff(21435,plain,
% 50.77/33.39 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s3) | (~node60(c_p0, s3)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p0, s3)) | (~node60(c_p0, s3)) | node59(c_p0, s3))),
% 50.77/33.39 inference(transitivity,[status(thm)],[21434, 21432])).
% 50.77/33.39 tff(21436,plain,
% 50.77/33.39 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s3) | (~node60(c_p0, s3)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s3)))),
% 50.77/33.39 inference(quant_inst,[status(thm)],[])).
% 50.77/33.39 tff(21437,plain,
% 50.77/33.39 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p0, s3)) | (~node60(c_p0, s3)) | node59(c_p0, s3)),
% 50.77/33.39 inference(modus_ponens,[status(thm)],[21436, 21435])).
% 50.77/33.39 tff(21438,plain,
% 50.77/33.39 (~m_processor_v_REPLY_h_WAITING(c_p0, s3)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[21437, 724, 21431, 21428])).
% 50.77/33.39 tff(21439,plain,
% 50.77/33.39 (((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | ((~m_main_v_REPLY_h_WAITING(s3)) | m_processor_v_REPLY_h_WAITING(c_p0, s3))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | (~m_main_v_REPLY_h_WAITING(s3)) | m_processor_v_REPLY_h_WAITING(c_p0, s3))),
% 50.77/33.39 inference(rewrite,[status(thm)],[])).
% 50.77/33.39 tff(21440,plain,
% 50.77/33.39 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | ((~m_main_v_REPLY_h_WAITING(s3)) | m_processor_v_REPLY_h_WAITING(c_p0, s3))),
% 50.77/33.39 inference(quant_inst,[status(thm)],[])).
% 50.77/33.39 tff(21441,plain,
% 50.77/33.39 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | (~m_main_v_REPLY_h_WAITING(s3)) | m_processor_v_REPLY_h_WAITING(c_p0, s3)),
% 50.77/33.39 inference(modus_ponens,[status(thm)],[21440, 21439])).
% 50.77/33.39 tff(21442,plain,
% 50.77/33.39 ($false),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[21441, 7774, 11846, 11861])).
% 50.77/33.39 tff(21443,plain,(m_processor_v_REPLY_h_WAITING(c_p0, s3) | (~m_main_v_REPLY_h_WAITING(s3))), inference(lemma,lemma(discharge,[]))).
% 50.77/33.39 tff(21444,plain,
% 50.77/33.39 (~m_main_v_REPLY_h_WAITING(s3)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[21443, 21438])).
% 50.77/33.39 tff(21445,plain,
% 50.77/33.39 (node6(s3)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[20135, 21444])).
% 50.77/33.39 tff(21446,assumption,(m_processor_v_reply_h_waiting(c_p1, s3)), introduced(assumption)).
% 50.77/33.39 tff(21447,plain,
% 50.77/33.39 (((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | ((~node6(s3)) | (~m_processor_v_reply_h_waiting(c_p1, s3)))) <=> ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | (~node6(s3)) | (~m_processor_v_reply_h_waiting(c_p1, s3)))),
% 50.77/33.39 inference(rewrite,[status(thm)],[])).
% 50.77/33.39 tff(21448,plain,
% 50.77/33.39 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | ((~node6(s3)) | (~m_processor_v_reply_h_waiting(c_p1, s3)))),
% 50.77/33.39 inference(quant_inst,[status(thm)],[])).
% 50.77/33.39 tff(21449,plain,
% 50.77/33.39 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | (~node6(s3)) | (~m_processor_v_reply_h_waiting(c_p1, s3))),
% 50.77/33.39 inference(modus_ponens,[status(thm)],[21448, 21447])).
% 50.77/33.39 tff(21450,plain,
% 50.77/33.39 ($false),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[21449, 8551, 20137, 21446])).
% 50.77/33.39 tff(21451,plain,((~m_processor_v_reply_h_waiting(c_p1, s3)) | (~node6(s3))), inference(lemma,lemma(discharge,[]))).
% 50.77/33.39 tff(21452,plain,
% 50.77/33.39 (~m_processor_v_reply_h_waiting(c_p1, s3)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[21451, 21445])).
% 50.77/33.39 tff(21453,plain,
% 50.77/33.39 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p1, s3)) | m_processor_v_master(c_p1, s3) | m_processor_v_reply_h_waiting(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s3)) | m_processor_v_master(c_p1, s3) | m_processor_v_reply_h_waiting(c_p1, s3))),
% 50.77/33.39 inference(rewrite,[status(thm)],[])).
% 50.77/33.39 tff(21454,plain,
% 50.77/33.39 ((m_processor_v_master(c_p1, s3) | (~m_processor_v_waiting(c_p1, s3)) | m_processor_v_reply_h_waiting(c_p1, s3)) <=> ((~m_processor_v_waiting(c_p1, s3)) | m_processor_v_master(c_p1, s3) | m_processor_v_reply_h_waiting(c_p1, s3))),
% 50.77/33.39 inference(rewrite,[status(thm)],[])).
% 50.77/33.39 tff(21455,plain,
% 50.77/33.39 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s3) | (~m_processor_v_waiting(c_p1, s3)) | m_processor_v_reply_h_waiting(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p1, s3)) | m_processor_v_master(c_p1, s3) | m_processor_v_reply_h_waiting(c_p1, s3)))),
% 50.77/33.39 inference(monotonicity,[status(thm)],[21454])).
% 50.77/33.39 tff(21456,plain,
% 50.77/33.39 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s3) | (~m_processor_v_waiting(c_p1, s3)) | m_processor_v_reply_h_waiting(c_p1, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s3)) | m_processor_v_master(c_p1, s3) | m_processor_v_reply_h_waiting(c_p1, s3))),
% 50.77/33.39 inference(transitivity,[status(thm)],[21455, 21453])).
% 50.77/33.39 tff(21457,plain,
% 50.77/33.39 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s3) | (~m_processor_v_waiting(c_p1, s3)) | m_processor_v_reply_h_waiting(c_p1, s3))),
% 50.77/33.39 inference(quant_inst,[status(thm)],[])).
% 50.77/33.39 tff(21458,plain,
% 50.77/33.39 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s3)) | m_processor_v_master(c_p1, s3) | m_processor_v_reply_h_waiting(c_p1, s3)),
% 50.77/33.39 inference(modus_ponens,[status(thm)],[21457, 21456])).
% 50.77/33.39 tff(21459,plain,
% 50.77/33.39 ((~m_processor_v_waiting(c_p1, s3)) | m_processor_v_reply_h_waiting(c_p1, s3)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[21458, 2296, 21399])).
% 50.77/33.39 tff(21460,plain,
% 50.77/33.39 (~m_processor_v_waiting(c_p1, s3)),
% 50.77/33.39 inference(unit_resolution,[status(thm)],[21459, 21452])).
% 50.77/33.39 tff(21461,plain,
% 50.77/33.39 (^[Y: $i, I0: $i, X: $i] : refl((m_processor_v_waiting(I0, X) | (~node46(I0, X, Y)) | (~m_processor_v_waiting(I0, Y))) <=> (m_processor_v_waiting(I0, X) | (~node46(I0, X, Y)) | (~m_processor_v_waiting(I0, Y))))),
% 50.77/33.39 inference(bind,[status(th)],[])).
% 50.77/33.39 tff(21462,plain,
% 50.77/33.39 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node46(I0, X, Y)) | (~m_processor_v_waiting(I0, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node46(I0, X, Y)) | (~m_processor_v_waiting(I0, Y)))),
% 50.77/33.39 inference(quant_intro,[status(thm)],[21461])).
% 50.77/33.39 tff(21463,plain,
% 50.77/33.39 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node46(I0, X, Y)) | (~m_processor_v_waiting(I0, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node46(I0, X, Y)) | (~m_processor_v_waiting(I0, Y)))),
% 50.77/33.39 inference(rewrite,[status(thm)],[])).
% 50.77/33.39 tff(21464,plain,
% 50.77/33.39 (^[Y: $i, I0: $i, X: $i] : rewrite((((~m_processor_v_waiting(I0, Y)) | m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y))) <=> (m_processor_v_waiting(I0, X) | (~node46(I0, X, Y)) | (~m_processor_v_waiting(I0, Y))))),
% 50.77/33.40 inference(bind,[status(th)],[])).
% 50.77/33.40 tff(21465,plain,
% 50.77/33.40 (![Y: $i, I0: $i, X: $i] : (((~m_processor_v_waiting(I0, Y)) | m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node46(I0, X, Y)) | (~m_processor_v_waiting(I0, Y)))),
% 50.77/33.40 inference(quant_intro,[status(thm)],[21464])).
% 50.77/33.40 tff(21466,axiom,(![Y: $i, I0: $i, X: $i] : (((~m_processor_v_waiting(I0, Y)) | m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_95')).
% 50.77/33.40 tff(21467,plain,
% 50.77/33.40 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node46(I0, X, Y)) | (~m_processor_v_waiting(I0, Y)))),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21466, 21465])).
% 50.77/33.40 tff(21468,plain,
% 50.77/33.40 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node46(I0, X, Y)) | (~m_processor_v_waiting(I0, Y)))),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21467, 21463])).
% 50.77/33.40 tff(21469,plain,(
% 50.77/33.40 ![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node46(I0, X, Y)) | (~m_processor_v_waiting(I0, Y)))),
% 50.77/33.40 inference(skolemize,[status(sab)],[21468])).
% 50.77/33.40 tff(21470,plain,
% 50.77/33.40 (![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node46(I0, X, Y)) | (~m_processor_v_waiting(I0, Y)))),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21469, 21462])).
% 50.77/33.40 tff(21471,plain,
% 50.77/33.40 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node46(I0, X, Y)) | (~m_processor_v_waiting(I0, Y)))) | (m_processor_v_waiting(c_p1, s3) | (~m_processor_v_waiting(c_p1, s4)) | (~node46(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node46(I0, X, Y)) | (~m_processor_v_waiting(I0, Y)))) | m_processor_v_waiting(c_p1, s3) | (~m_processor_v_waiting(c_p1, s4)) | (~node46(c_p1, s3, s4)))),
% 50.77/33.40 inference(rewrite,[status(thm)],[])).
% 50.77/33.40 tff(21472,plain,
% 50.77/33.40 ((m_processor_v_waiting(c_p1, s3) | (~node46(c_p1, s3, s4)) | (~m_processor_v_waiting(c_p1, s4))) <=> (m_processor_v_waiting(c_p1, s3) | (~m_processor_v_waiting(c_p1, s4)) | (~node46(c_p1, s3, s4)))),
% 50.77/33.40 inference(rewrite,[status(thm)],[])).
% 50.77/33.40 tff(21473,plain,
% 50.77/33.40 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node46(I0, X, Y)) | (~m_processor_v_waiting(I0, Y)))) | (m_processor_v_waiting(c_p1, s3) | (~node46(c_p1, s3, s4)) | (~m_processor_v_waiting(c_p1, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node46(I0, X, Y)) | (~m_processor_v_waiting(I0, Y)))) | (m_processor_v_waiting(c_p1, s3) | (~m_processor_v_waiting(c_p1, s4)) | (~node46(c_p1, s3, s4))))),
% 50.77/33.40 inference(monotonicity,[status(thm)],[21472])).
% 50.77/33.40 tff(21474,plain,
% 50.77/33.40 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node46(I0, X, Y)) | (~m_processor_v_waiting(I0, Y)))) | (m_processor_v_waiting(c_p1, s3) | (~node46(c_p1, s3, s4)) | (~m_processor_v_waiting(c_p1, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node46(I0, X, Y)) | (~m_processor_v_waiting(I0, Y)))) | m_processor_v_waiting(c_p1, s3) | (~m_processor_v_waiting(c_p1, s4)) | (~node46(c_p1, s3, s4)))),
% 50.77/33.40 inference(transitivity,[status(thm)],[21473, 21471])).
% 50.77/33.40 tff(21475,plain,
% 50.77/33.40 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node46(I0, X, Y)) | (~m_processor_v_waiting(I0, Y)))) | (m_processor_v_waiting(c_p1, s3) | (~node46(c_p1, s3, s4)) | (~m_processor_v_waiting(c_p1, s4)))),
% 50.77/33.40 inference(quant_inst,[status(thm)],[])).
% 50.77/33.40 tff(21476,plain,
% 50.77/33.40 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node46(I0, X, Y)) | (~m_processor_v_waiting(I0, Y)))) | m_processor_v_waiting(c_p1, s3) | (~m_processor_v_waiting(c_p1, s4)) | (~node46(c_p1, s3, s4))),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21475, 21474])).
% 50.77/33.40 tff(21477,plain,
% 50.77/33.40 ($false),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[21476, 21470, 5375, 19505, 12047])).
% 50.77/33.40 tff(21478,plain,((~node46(c_p1, s3, s4)) | m_processor_v_waiting(c_p1, s3) | (~m_processor_v_waiting(c_p1, s4))), inference(lemma,lemma(discharge,[]))).
% 50.77/33.40 tff(21479,plain,
% 50.77/33.40 (~node46(c_p1, s3, s4)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[21478, 21460, 21393])).
% 50.77/33.40 tff(21480,plain,
% 50.77/33.40 (~m_processor_v_abort(c_p1, s3)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[12063, 21479])).
% 50.77/33.40 tff(21481,plain,
% 50.77/33.40 (node52(c_p1, s3, s4)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[12166, 21480, 21420, 21419, 21418, 21415, 21412])).
% 50.77/33.40 tff(21482,plain,
% 50.77/33.40 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s3) | (~m_processor_v_waiting(c_p1, s4)) | (~node52(c_p1, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | m_processor_v_waiting(c_p1, s3) | (~m_processor_v_waiting(c_p1, s4)) | (~node52(c_p1, s3, s4)))),
% 50.77/33.40 inference(rewrite,[status(thm)],[])).
% 50.77/33.40 tff(21483,plain,
% 50.77/33.40 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s3) | (~m_processor_v_waiting(c_p1, s4)) | (~node52(c_p1, s3, s4)))),
% 50.77/33.40 inference(quant_inst,[status(thm)],[])).
% 50.77/33.40 tff(21484,plain,
% 50.77/33.40 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | m_processor_v_waiting(c_p1, s3) | (~m_processor_v_waiting(c_p1, s4)) | (~node52(c_p1, s3, s4))),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21483, 21482])).
% 50.77/33.40 tff(21485,plain,
% 50.77/33.40 ($false),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[21484, 20180, 21460, 21481, 21393])).
% 50.77/33.40 tff(21486,plain,(m_processor_v_writable(c_p1, s4) | m_processor_v_master(c_p0, s2) | (~m_processor_v_state(c_p0, s2, c_invalid)) | node67(s6) | node67(s8) | node67(s9) | node67(s7) | (~m_processor_v_state(c_p1, s4, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.77/33.40 tff(21487,plain,
% 50.77/33.40 (m_processor_v_writable(c_p1, s4)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[21486, 21391, 5949, 2622, 5668, 5667, 5932, 5494])).
% 50.77/33.40 tff(21488,plain,
% 50.77/33.40 (node56(c_p1, s4)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[6573, 21487])).
% 50.77/33.40 tff(21489,plain,
% 50.77/33.40 (~m_processor_v_waiting(c_p1, s4)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[6603, 540, 21488])).
% 50.77/33.40 tff(21490,plain,
% 50.77/33.40 (^[I0: $i, X: $i] : refl((m_processor_v_waiting(I0, X) | (~node58(I0, X))) <=> (m_processor_v_waiting(I0, X) | (~node58(I0, X))))),
% 50.77/33.40 inference(bind,[status(th)],[])).
% 50.77/33.40 tff(21491,plain,
% 50.77/33.40 (![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))),
% 50.77/33.40 inference(quant_intro,[status(thm)],[21490])).
% 50.77/33.40 tff(21492,plain,
% 50.77/33.40 (![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X))) <=> ![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))),
% 50.77/33.40 inference(rewrite,[status(thm)],[])).
% 50.77/33.40 tff(21493,axiom,(![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_131')).
% 50.77/33.40 tff(21494,plain,
% 50.77/33.40 (![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21493, 21492])).
% 50.77/33.40 tff(21495,plain,(
% 50.77/33.40 ![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))),
% 50.77/33.40 inference(skolemize,[status(sab)],[21494])).
% 50.77/33.40 tff(21496,plain,
% 50.77/33.40 (![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21495, 21491])).
% 50.77/33.40 tff(21497,plain,
% 50.77/33.40 (((~![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))) | (m_processor_v_waiting(c_p1, s4) | (~node58(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))) | m_processor_v_waiting(c_p1, s4) | (~node58(c_p1, s4)))),
% 50.77/33.40 inference(rewrite,[status(thm)],[])).
% 50.77/33.40 tff(21498,plain,
% 50.77/33.40 ((~![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))) | (m_processor_v_waiting(c_p1, s4) | (~node58(c_p1, s4)))),
% 50.77/33.40 inference(quant_inst,[status(thm)],[])).
% 50.77/33.40 tff(21499,plain,
% 50.77/33.40 ((~![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))) | m_processor_v_waiting(c_p1, s4) | (~node58(c_p1, s4))),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21498, 21497])).
% 50.77/33.40 tff(21500,plain,
% 50.77/33.40 (~node58(c_p1, s4)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[21499, 21496, 21489])).
% 50.77/33.40 tff(21501,plain,
% 50.77/33.40 (^[I0: $i, X: $i] : refl(((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X)) <=> ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X)))),
% 50.77/33.40 inference(bind,[status(th)],[])).
% 50.77/33.40 tff(21502,plain,
% 50.77/33.40 (![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X)) <=> ![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))),
% 50.77/33.40 inference(quant_intro,[status(thm)],[21501])).
% 50.77/33.40 tff(21503,plain,
% 50.77/33.40 (![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X)) <=> ![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))),
% 50.77/33.40 inference(rewrite,[status(thm)],[])).
% 50.77/33.40 tff(21504,axiom,(![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_133')).
% 50.77/33.40 tff(21505,plain,
% 50.77/33.40 (![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21504, 21503])).
% 50.77/33.40 tff(21506,plain,(
% 50.77/33.40 ![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))),
% 50.77/33.40 inference(skolemize,[status(sab)],[21505])).
% 50.77/33.40 tff(21507,plain,
% 50.77/33.40 (![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21506, 21502])).
% 50.77/33.40 tff(21508,plain,
% 50.77/33.40 (((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))) | ((~m_processor_v_reply_h_waiting(c_p1, s4)) | node58(c_p1, s4))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))) | (~m_processor_v_reply_h_waiting(c_p1, s4)) | node58(c_p1, s4))),
% 50.77/33.40 inference(rewrite,[status(thm)],[])).
% 50.77/33.40 tff(21509,plain,
% 50.77/33.40 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))) | ((~m_processor_v_reply_h_waiting(c_p1, s4)) | node58(c_p1, s4))),
% 50.77/33.40 inference(quant_inst,[status(thm)],[])).
% 50.77/33.40 tff(21510,plain,
% 50.77/33.40 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))) | (~m_processor_v_reply_h_waiting(c_p1, s4)) | node58(c_p1, s4)),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21509, 21508])).
% 50.77/33.40 tff(21511,plain,
% 50.77/33.40 (~m_processor_v_reply_h_waiting(c_p1, s4)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[21510, 21507, 21500])).
% 50.77/33.40 tff(21512,plain,
% 50.77/33.40 (~m_processor_v_state(c_p0, s3, c_owned)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[2775, 9376, 2622])).
% 50.77/33.40 tff(21513,plain,
% 50.77/33.40 (node34(c_p0, s3, s4)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[9737, 21512, 6889, 6880])).
% 50.77/33.40 tff(21514,plain,
% 50.77/33.40 (~node33(c_p0, s3, s4)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[11950, 830, 21512, 1752])).
% 50.77/33.40 tff(21515,plain,
% 50.77/33.40 (m_processor_v_CMD(c_p0, s3, c_read_h_owned)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[9792, 21514, 6880, 6889, 21513])).
% 50.77/33.40 tff(21516,plain,
% 50.77/33.40 (~node59(c_p0, s3)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[21427, 707, 21515])).
% 50.77/33.40 tff(21517,plain,
% 50.77/33.40 (m_processor_v_state(c_p0, s3, c_invalid)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[9264, 9376, 2622, 9375])).
% 50.77/33.40 tff(21518,plain,
% 50.77/33.40 (~node32(c_p0, s3, s4)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[9389, 21517, 6880])).
% 50.77/33.40 tff(21519,plain,
% 50.77/33.40 (~m_processor_v_abort(c_p0, s3)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[9403, 21518])).
% 50.77/33.40 tff(21520,plain,
% 50.77/33.40 (node60(c_p0, s3)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[10486, 21519])).
% 50.77/33.40 tff(21521,plain,
% 50.77/33.40 (~m_processor_v_REPLY_h_WAITING(c_p0, s3)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[21437, 724, 21520, 21516])).
% 50.77/33.40 tff(21522,plain,
% 50.77/33.40 (~m_main_v_REPLY_h_WAITING(s3)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[21443, 21521])).
% 50.77/33.40 tff(21523,plain,
% 50.77/33.40 (node6(s3)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[20135, 21522])).
% 50.77/33.40 tff(21524,assumption,(m_processor_v_reply_h_waiting(c_p2, s3)), introduced(assumption)).
% 50.77/33.40 tff(21525,plain,
% 50.77/33.40 (^[X: $i] : refl(((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p2, X))) <=> ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p2, X))))),
% 50.77/33.40 inference(bind,[status(th)],[])).
% 50.77/33.40 tff(21526,plain,
% 50.77/33.40 (![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p2, X))) <=> ![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p2, X)))),
% 50.77/33.40 inference(quant_intro,[status(thm)],[21525])).
% 50.77/33.40 tff(21527,plain,
% 50.77/33.40 (![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p2, X))) <=> ![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p2, X)))),
% 50.77/33.40 inference(rewrite,[status(thm)],[])).
% 50.77/33.40 tff(21528,plain,
% 50.77/33.40 (^[X: $i] : rewrite(((~m_processor_v_reply_h_waiting(c_p2, X)) | (~node6(X))) <=> ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p2, X))))),
% 50.77/33.40 inference(bind,[status(th)],[])).
% 50.77/33.40 tff(21529,plain,
% 50.77/33.40 (![X: $i] : ((~m_processor_v_reply_h_waiting(c_p2, X)) | (~node6(X))) <=> ![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p2, X)))),
% 50.77/33.40 inference(quant_intro,[status(thm)],[21528])).
% 50.77/33.40 tff(21530,axiom,(![X: $i] : ((~m_processor_v_reply_h_waiting(c_p2, X)) | (~node6(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_81')).
% 50.77/33.40 tff(21531,plain,
% 50.77/33.40 (![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p2, X)))),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21530, 21529])).
% 50.77/33.40 tff(21532,plain,
% 50.77/33.40 (![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p2, X)))),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21531, 21527])).
% 50.77/33.40 tff(21533,plain,(
% 50.77/33.40 ![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p2, X)))),
% 50.77/33.40 inference(skolemize,[status(sab)],[21532])).
% 50.77/33.40 tff(21534,plain,
% 50.77/33.40 (![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p2, X)))),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21533, 21526])).
% 50.77/33.40 tff(21535,plain,
% 50.77/33.40 (((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p2, X)))) | ((~node6(s3)) | (~m_processor_v_reply_h_waiting(c_p2, s3)))) <=> ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p2, X)))) | (~node6(s3)) | (~m_processor_v_reply_h_waiting(c_p2, s3)))),
% 50.77/33.40 inference(rewrite,[status(thm)],[])).
% 50.77/33.40 tff(21536,plain,
% 50.77/33.40 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p2, X)))) | ((~node6(s3)) | (~m_processor_v_reply_h_waiting(c_p2, s3)))),
% 50.77/33.40 inference(quant_inst,[status(thm)],[])).
% 50.77/33.40 tff(21537,plain,
% 50.77/33.40 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p2, X)))) | (~node6(s3)) | (~m_processor_v_reply_h_waiting(c_p2, s3))),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21536, 21535])).
% 50.77/33.40 tff(21538,plain,
% 50.77/33.40 ($false),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[21537, 21534, 20137, 21524])).
% 50.77/33.40 tff(21539,plain,((~m_processor_v_reply_h_waiting(c_p2, s3)) | (~node6(s3))), inference(lemma,lemma(discharge,[]))).
% 50.77/33.40 tff(21540,plain,
% 50.77/33.40 (~m_processor_v_reply_h_waiting(c_p2, s3)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[21539, 21523])).
% 50.77/33.40 tff(21541,plain,
% 50.77/33.40 (~node16(s3)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[9554, 1530, 21389])).
% 50.77/33.40 tff(21542,plain,
% 50.77/33.40 (~m_processor_v_master(c_p2, s3)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[9562, 21541])).
% 50.77/33.40 tff(21543,plain,
% 50.77/33.40 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_reply_h_waiting(c_p2, s3) | m_processor_v_master(c_p2, s3) | (~m_processor_v_waiting(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | m_processor_v_reply_h_waiting(c_p2, s3) | m_processor_v_master(c_p2, s3) | (~m_processor_v_waiting(c_p2, s3)))),
% 50.77/33.40 inference(rewrite,[status(thm)],[])).
% 50.77/33.40 tff(21544,plain,
% 50.77/33.40 ((m_processor_v_master(c_p2, s3) | (~m_processor_v_waiting(c_p2, s3)) | m_processor_v_reply_h_waiting(c_p2, s3)) <=> (m_processor_v_reply_h_waiting(c_p2, s3) | m_processor_v_master(c_p2, s3) | (~m_processor_v_waiting(c_p2, s3)))),
% 50.77/33.40 inference(rewrite,[status(thm)],[])).
% 50.77/33.40 tff(21545,plain,
% 50.77/33.40 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p2, s3) | (~m_processor_v_waiting(c_p2, s3)) | m_processor_v_reply_h_waiting(c_p2, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_reply_h_waiting(c_p2, s3) | m_processor_v_master(c_p2, s3) | (~m_processor_v_waiting(c_p2, s3))))),
% 50.77/33.40 inference(monotonicity,[status(thm)],[21544])).
% 50.77/33.40 tff(21546,plain,
% 50.77/33.40 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p2, s3) | (~m_processor_v_waiting(c_p2, s3)) | m_processor_v_reply_h_waiting(c_p2, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | m_processor_v_reply_h_waiting(c_p2, s3) | m_processor_v_master(c_p2, s3) | (~m_processor_v_waiting(c_p2, s3)))),
% 50.77/33.40 inference(transitivity,[status(thm)],[21545, 21543])).
% 50.77/33.40 tff(21547,plain,
% 50.77/33.40 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p2, s3) | (~m_processor_v_waiting(c_p2, s3)) | m_processor_v_reply_h_waiting(c_p2, s3))),
% 50.77/33.40 inference(quant_inst,[status(thm)],[])).
% 50.77/33.40 tff(21548,plain,
% 50.77/33.40 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | m_processor_v_reply_h_waiting(c_p2, s3) | m_processor_v_master(c_p2, s3) | (~m_processor_v_waiting(c_p2, s3))),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21547, 21546])).
% 50.77/33.40 tff(21549,plain,
% 50.77/33.40 (m_processor_v_reply_h_waiting(c_p2, s3) | (~m_processor_v_waiting(c_p2, s3))),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[21548, 2296, 21542])).
% 50.77/33.40 tff(21550,plain,
% 50.77/33.40 (~m_processor_v_waiting(c_p2, s3)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[21549, 21540])).
% 50.77/33.40 tff(21551,plain,
% 50.77/33.40 (m_main_v_CMD(s3, c_read_h_owned)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[10546, 21515])).
% 50.77/33.40 tff(21552,plain,
% 50.77/33.40 (~m_main_v_CMD(s3, c_write_h_resp_h_shared)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[20161, 7940, 21551])).
% 50.77/33.40 tff(21553,assumption,(~node4(s3)), introduced(assumption)).
% 50.77/33.40 tff(21554,plain,
% 50.77/33.40 (^[X: $i] : refl(node4(X) <=> node4(X))),
% 50.77/33.40 inference(bind,[status(th)],[])).
% 50.77/33.40 tff(21555,plain,
% 50.77/33.40 (![X: $i] : node4(X) <=> ![X: $i] : node4(X)),
% 50.77/33.40 inference(quant_intro,[status(thm)],[21554])).
% 50.77/33.40 tff(21556,plain,
% 50.77/33.40 (![X: $i] : node4(X) <=> ![X: $i] : node4(X)),
% 50.77/33.40 inference(rewrite,[status(thm)],[])).
% 50.77/33.40 tff(21557,axiom,(![X: $i] : node4(X)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_67')).
% 50.77/33.40 tff(21558,plain,
% 50.77/33.40 (![X: $i] : node4(X)),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21557, 21556])).
% 50.77/33.40 tff(21559,plain,(
% 50.77/33.40 ![X: $i] : node4(X)),
% 50.77/33.40 inference(skolemize,[status(sab)],[21558])).
% 50.77/33.40 tff(21560,plain,
% 50.77/33.40 (![X: $i] : node4(X)),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21559, 21555])).
% 50.77/33.40 tff(21561,plain,
% 50.77/33.40 ((~![X: $i] : node4(X)) | node4(s3)),
% 50.77/33.40 inference(quant_inst,[status(thm)],[])).
% 50.77/33.40 tff(21562,plain,
% 50.77/33.40 ($false),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[21561, 21560, 21553])).
% 50.77/33.40 tff(21563,plain,(node4(s3)), inference(lemma,lemma(discharge,[]))).
% 50.77/33.40 tff(21564,plain,
% 50.77/33.40 (^[V: $i, X: $i] : refl((m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V))) <=> (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V))))),
% 50.77/33.40 inference(bind,[status(th)],[])).
% 50.77/33.40 tff(21565,plain,
% 50.77/33.40 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))),
% 50.77/33.40 inference(quant_intro,[status(thm)],[21564])).
% 50.77/33.40 tff(21566,plain,
% 50.77/33.40 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))),
% 50.77/33.40 inference(rewrite,[status(thm)],[])).
% 50.77/33.40 tff(21567,plain,
% 50.77/33.40 (^[V: $i, X: $i] : rewrite((((~m_processor_v_CMD(c_p2, X, V)) | m_main_v_CMD(X, V)) | (~node4(X))) <=> (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V))))),
% 50.77/33.40 inference(bind,[status(th)],[])).
% 50.77/33.40 tff(21568,plain,
% 50.77/33.40 (![V: $i, X: $i] : (((~m_processor_v_CMD(c_p2, X, V)) | m_main_v_CMD(X, V)) | (~node4(X))) <=> ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))),
% 50.77/33.40 inference(quant_intro,[status(thm)],[21567])).
% 50.77/33.40 tff(21569,axiom,(![V: $i, X: $i] : (((~m_processor_v_CMD(c_p2, X, V)) | m_main_v_CMD(X, V)) | (~node4(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_66')).
% 50.77/33.40 tff(21570,plain,
% 50.77/33.40 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21569, 21568])).
% 50.77/33.40 tff(21571,plain,
% 50.77/33.40 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21570, 21566])).
% 50.77/33.40 tff(21572,plain,(
% 50.77/33.40 ![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))),
% 50.77/33.40 inference(skolemize,[status(sab)],[21571])).
% 50.77/33.40 tff(21573,plain,
% 50.77/33.40 (![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21572, 21565])).
% 50.77/33.40 tff(21574,plain,
% 50.77/33.40 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node4(s3)) | (~m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node4(s3)) | (~m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_shared)))),
% 50.77/33.40 inference(rewrite,[status(thm)],[])).
% 50.77/33.40 tff(21575,plain,
% 50.77/33.40 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node4(s3)) | (~m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_shared)))),
% 50.77/33.40 inference(quant_inst,[status(thm)],[])).
% 50.77/33.40 tff(21576,plain,
% 50.77/33.40 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s3, c_write_h_resp_h_shared) | (~node4(s3)) | (~m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_shared))),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21575, 21574])).
% 50.77/33.40 tff(21577,plain,
% 50.77/33.40 (~m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_shared)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[21576, 21573, 21563, 21552])).
% 50.77/33.40 tff(21578,plain,
% 50.77/33.40 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_shared) | (~node51(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_shared) | (~node51(c_p2, s3)))),
% 50.77/33.40 inference(rewrite,[status(thm)],[])).
% 50.77/33.40 tff(21579,plain,
% 50.77/33.40 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_shared) | (~node51(c_p2, s3)))),
% 50.77/33.40 inference(quant_inst,[status(thm)],[])).
% 50.77/33.40 tff(21580,plain,
% 50.77/33.40 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_shared) | (~node51(c_p2, s3))),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21579, 21578])).
% 50.77/33.40 tff(21581,plain,
% 50.77/33.40 (~node51(c_p2, s3)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[21580, 11549, 21577])).
% 50.77/33.40 tff(21582,plain,
% 50.77/33.40 (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[20155, 7953, 21551])).
% 50.77/33.40 tff(21583,plain,
% 50.77/33.40 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node4(s3)) | (~m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node4(s3)) | (~m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid)))),
% 50.77/33.40 inference(rewrite,[status(thm)],[])).
% 50.77/33.40 tff(21584,plain,
% 50.77/33.40 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node4(s3)) | (~m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid)))),
% 50.77/33.40 inference(quant_inst,[status(thm)],[])).
% 50.77/33.40 tff(21585,plain,
% 50.77/33.40 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s3, c_write_h_resp_h_invalid) | (~node4(s3)) | (~m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid))),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21584, 21583])).
% 50.77/33.40 tff(21586,plain,
% 50.77/33.40 (~m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[21585, 21573, 21582, 21563])).
% 50.77/33.40 tff(21587,plain,
% 50.77/33.40 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | ((~node50(c_p2, s3)) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (~node50(c_p2, s3)) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid))),
% 50.77/33.40 inference(rewrite,[status(thm)],[])).
% 50.77/33.40 tff(21588,plain,
% 50.77/33.40 ((m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid) | (~node50(c_p2, s3))) <=> ((~node50(c_p2, s3)) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid))),
% 50.77/33.40 inference(rewrite,[status(thm)],[])).
% 50.77/33.40 tff(21589,plain,
% 50.77/33.40 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid) | (~node50(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | ((~node50(c_p2, s3)) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid)))),
% 50.77/33.40 inference(monotonicity,[status(thm)],[21588])).
% 50.77/33.40 tff(21590,plain,
% 50.77/33.40 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid) | (~node50(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (~node50(c_p2, s3)) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid))),
% 50.77/33.40 inference(transitivity,[status(thm)],[21589, 21587])).
% 50.77/33.40 tff(21591,plain,
% 50.77/33.40 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid) | (~node50(c_p2, s3)))),
% 50.77/33.40 inference(quant_inst,[status(thm)],[])).
% 50.77/33.40 tff(21592,plain,
% 50.77/33.40 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (~node50(c_p2, s3)) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid)),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21591, 21590])).
% 50.77/33.40 tff(21593,plain,
% 50.77/33.40 (~node50(c_p2, s3)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[21592, 11598, 21586])).
% 50.77/33.40 tff(21594,plain,
% 50.77/33.40 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p2, s3) | (~node47(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p2, s3) | (~node47(c_p2, s3)))),
% 50.77/33.40 inference(rewrite,[status(thm)],[])).
% 50.77/33.40 tff(21595,plain,
% 50.77/33.40 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p2, s3) | (~node47(c_p2, s3)))),
% 50.77/33.40 inference(quant_inst,[status(thm)],[])).
% 50.77/33.40 tff(21596,plain,
% 50.77/33.40 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p2, s3) | (~node47(c_p2, s3))),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21595, 21594])).
% 50.77/33.40 tff(21597,plain,
% 50.77/33.40 (~node47(c_p2, s3)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[21596, 12108, 21542])).
% 50.77/33.40 tff(21598,plain,
% 50.77/33.40 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p2, s3) | (~node48(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p2, s3) | (~node48(c_p2, s3)))),
% 50.77/33.40 inference(rewrite,[status(thm)],[])).
% 50.77/33.40 tff(21599,plain,
% 50.77/33.40 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p2, s3) | (~node48(c_p2, s3)))),
% 50.77/33.40 inference(quant_inst,[status(thm)],[])).
% 50.77/33.40 tff(21600,plain,
% 50.77/33.40 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p2, s3) | (~node48(c_p2, s3))),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21599, 21598])).
% 50.77/33.40 tff(21601,plain,
% 50.77/33.40 (~node48(c_p2, s3)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[21600, 11562, 21542])).
% 50.77/33.40 tff(21602,plain,
% 50.77/33.40 (~m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[10494, 10488])).
% 50.77/33.40 tff(21603,plain,
% 50.77/33.40 (~m_main_v_REPLY_h_STALL(s3)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[10502, 21602])).
% 50.77/33.40 tff(21604,assumption,(m_processor_v_REPLY_h_STALL(c_p2, s3)), introduced(assumption)).
% 50.77/33.40 tff(21605,plain,
% 50.77/33.40 (^[X: $i] : refl((m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p2, X))) <=> (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p2, X))))),
% 50.77/33.40 inference(bind,[status(th)],[])).
% 50.77/33.40 tff(21606,plain,
% 50.77/33.40 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p2, X))) <=> ![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p2, X)))),
% 50.77/33.40 inference(quant_intro,[status(thm)],[21605])).
% 50.77/33.40 tff(21607,plain,
% 50.77/33.40 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p2, X))) <=> ![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p2, X)))),
% 50.77/33.40 inference(rewrite,[status(thm)],[])).
% 50.77/33.40 tff(21608,plain,
% 50.77/33.40 (^[X: $i] : rewrite(((~m_processor_v_REPLY_h_STALL(c_p2, X)) | m_main_v_REPLY_h_STALL(X)) <=> (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p2, X))))),
% 50.77/33.40 inference(bind,[status(th)],[])).
% 50.77/33.40 tff(21609,plain,
% 50.77/33.40 (![X: $i] : ((~m_processor_v_REPLY_h_STALL(c_p2, X)) | m_main_v_REPLY_h_STALL(X)) <=> ![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p2, X)))),
% 50.77/33.40 inference(quant_intro,[status(thm)],[21608])).
% 50.77/33.40 tff(21610,axiom,(![X: $i] : ((~m_processor_v_REPLY_h_STALL(c_p2, X)) | m_main_v_REPLY_h_STALL(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_73')).
% 50.77/33.40 tff(21611,plain,
% 50.77/33.40 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p2, X)))),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21610, 21609])).
% 50.77/33.40 tff(21612,plain,
% 50.77/33.40 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p2, X)))),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21611, 21607])).
% 50.77/33.40 tff(21613,plain,(
% 50.77/33.40 ![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p2, X)))),
% 50.77/33.40 inference(skolemize,[status(sab)],[21612])).
% 50.77/33.40 tff(21614,plain,
% 50.77/33.40 (![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p2, X)))),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21613, 21606])).
% 50.77/33.40 tff(21615,plain,
% 50.77/33.40 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p2, X)))) | (m_main_v_REPLY_h_STALL(s3) | (~m_processor_v_REPLY_h_STALL(c_p2, s3)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p2, X)))) | m_main_v_REPLY_h_STALL(s3) | (~m_processor_v_REPLY_h_STALL(c_p2, s3)))),
% 50.77/33.40 inference(rewrite,[status(thm)],[])).
% 50.77/33.40 tff(21616,plain,
% 50.77/33.40 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p2, X)))) | (m_main_v_REPLY_h_STALL(s3) | (~m_processor_v_REPLY_h_STALL(c_p2, s3)))),
% 50.77/33.40 inference(quant_inst,[status(thm)],[])).
% 50.77/33.40 tff(21617,plain,
% 50.77/33.40 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p2, X)))) | m_main_v_REPLY_h_STALL(s3) | (~m_processor_v_REPLY_h_STALL(c_p2, s3))),
% 50.77/33.40 inference(modus_ponens,[status(thm)],[21616, 21615])).
% 50.77/33.40 tff(21618,plain,
% 50.77/33.40 ($false),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[21617, 21614, 10505, 21604])).
% 50.77/33.40 tff(21619,plain,((~m_processor_v_REPLY_h_STALL(c_p2, s3)) | m_main_v_REPLY_h_STALL(s3)), inference(lemma,lemma(discharge,[]))).
% 50.77/33.40 tff(21620,plain,
% 50.77/33.40 (~m_processor_v_REPLY_h_STALL(c_p2, s3)),
% 50.77/33.40 inference(unit_resolution,[status(thm)],[21619, 21603])).
% 50.77/33.40 tff(21621,assumption,(m_processor_v_abort(c_p2, s3)), introduced(assumption)).
% 50.77/33.40 tff(21622,plain,
% 50.77/33.40 (((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p2, s3)) | m_processor_v_REPLY_h_STALL(c_p2, s3) | node61(c_p2, s3))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p2, s3)) | m_processor_v_REPLY_h_STALL(c_p2, s3) | node61(c_p2, s3))),
% 50.79/33.40 inference(rewrite,[status(thm)],[])).
% 50.79/33.40 tff(21623,plain,
% 50.79/33.40 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p2, s3)) | m_processor_v_REPLY_h_STALL(c_p2, s3) | node61(c_p2, s3))),
% 50.79/33.40 inference(quant_inst,[status(thm)],[])).
% 50.79/33.40 tff(21624,plain,
% 50.79/33.40 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p2, s3)) | m_processor_v_REPLY_h_STALL(c_p2, s3) | node61(c_p2, s3)),
% 50.79/33.40 inference(modus_ponens,[status(thm)],[21623, 21622])).
% 50.79/33.40 tff(21625,plain,
% 50.79/33.40 (m_processor_v_REPLY_h_STALL(c_p2, s3) | node61(c_p2, s3)),
% 50.79/33.40 inference(unit_resolution,[status(thm)],[21624, 1417, 21621])).
% 50.79/33.40 tff(21626,plain,
% 50.79/33.40 (node61(c_p2, s3)),
% 50.79/33.40 inference(unit_resolution,[status(thm)],[21625, 21620])).
% 50.79/33.40 tff(21627,plain,
% 50.79/33.40 (((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p2, s3) | (~node61(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p2, s3) | (~node61(c_p2, s3)))),
% 50.79/33.40 inference(rewrite,[status(thm)],[])).
% 50.79/33.40 tff(21628,plain,
% 50.79/33.40 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p2, s3) | (~node61(c_p2, s3)))),
% 50.79/33.40 inference(quant_inst,[status(thm)],[])).
% 50.79/33.40 tff(21629,plain,
% 50.79/33.40 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p2, s3) | (~node61(c_p2, s3))),
% 50.79/33.40 inference(modus_ponens,[status(thm)],[21628, 21627])).
% 50.79/33.40 tff(21630,plain,
% 50.79/33.40 (m_processor_v_REPLY_h_WAITING(c_p2, s3)),
% 50.79/33.40 inference(unit_resolution,[status(thm)],[21629, 1891, 21626])).
% 50.79/33.40 tff(21631,assumption,(~node59(c_p0, s3)), introduced(assumption)).
% 50.79/33.40 tff(21632,plain,
% 50.79/33.40 ((~m_processor_v_REPLY_h_WAITING(c_p0, s3)) | (~node60(c_p0, s3))),
% 50.79/33.40 inference(unit_resolution,[status(thm)],[21437, 724, 21631])).
% 50.79/33.40 tff(21633,plain,
% 50.79/33.40 (~m_processor_v_REPLY_h_WAITING(c_p0, s3)),
% 50.79/33.40 inference(unit_resolution,[status(thm)],[21632, 10488])).
% 50.79/33.40 tff(21634,plain,
% 50.79/33.40 (~m_main_v_REPLY_h_WAITING(s3)),
% 50.79/33.40 inference(unit_resolution,[status(thm)],[21443, 21633])).
% 50.79/33.40 tff(21635,plain,
% 50.79/33.40 (^[X: $i] : refl((m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p2, X))) <=> (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p2, X))))),
% 50.79/33.40 inference(bind,[status(th)],[])).
% 50.79/33.40 tff(21636,plain,
% 50.79/33.40 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p2, X))) <=> ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p2, X)))),
% 50.79/33.40 inference(quant_intro,[status(thm)],[21635])).
% 50.79/33.40 tff(21637,plain,
% 50.79/33.40 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p2, X))) <=> ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p2, X)))),
% 50.79/33.40 inference(rewrite,[status(thm)],[])).
% 50.79/33.40 tff(21638,plain,
% 50.79/33.40 (^[X: $i] : rewrite(((~m_processor_v_REPLY_h_WAITING(c_p2, X)) | m_main_v_REPLY_h_WAITING(X)) <=> (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p2, X))))),
% 50.79/33.40 inference(bind,[status(th)],[])).
% 50.79/33.40 tff(21639,plain,
% 50.79/33.40 (![X: $i] : ((~m_processor_v_REPLY_h_WAITING(c_p2, X)) | m_main_v_REPLY_h_WAITING(X)) <=> ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p2, X)))),
% 50.79/33.40 inference(quant_intro,[status(thm)],[21638])).
% 50.79/33.40 tff(21640,axiom,(![X: $i] : ((~m_processor_v_REPLY_h_WAITING(c_p2, X)) | m_main_v_REPLY_h_WAITING(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_71')).
% 50.79/33.40 tff(21641,plain,
% 50.79/33.40 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p2, X)))),
% 50.79/33.40 inference(modus_ponens,[status(thm)],[21640, 21639])).
% 50.79/33.41 tff(21642,plain,
% 50.79/33.41 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p2, X)))),
% 50.79/33.41 inference(modus_ponens,[status(thm)],[21641, 21637])).
% 50.79/33.41 tff(21643,plain,(
% 50.79/33.41 ![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p2, X)))),
% 50.79/33.41 inference(skolemize,[status(sab)],[21642])).
% 50.79/33.41 tff(21644,plain,
% 50.79/33.41 (![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p2, X)))),
% 50.79/33.41 inference(modus_ponens,[status(thm)],[21643, 21636])).
% 50.79/33.41 tff(21645,plain,
% 50.79/33.41 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p2, X)))) | (m_main_v_REPLY_h_WAITING(s3) | (~m_processor_v_REPLY_h_WAITING(c_p2, s3)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p2, X)))) | m_main_v_REPLY_h_WAITING(s3) | (~m_processor_v_REPLY_h_WAITING(c_p2, s3)))),
% 50.79/33.41 inference(rewrite,[status(thm)],[])).
% 50.79/33.41 tff(21646,plain,
% 50.79/33.41 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p2, X)))) | (m_main_v_REPLY_h_WAITING(s3) | (~m_processor_v_REPLY_h_WAITING(c_p2, s3)))),
% 50.79/33.41 inference(quant_inst,[status(thm)],[])).
% 50.79/33.41 tff(21647,plain,
% 50.79/33.41 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p2, X)))) | m_main_v_REPLY_h_WAITING(s3) | (~m_processor_v_REPLY_h_WAITING(c_p2, s3))),
% 50.79/33.41 inference(modus_ponens,[status(thm)],[21646, 21645])).
% 50.79/33.41 tff(21648,plain,
% 50.79/33.41 ($false),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[21647, 21644, 21634, 21630])).
% 50.79/33.41 tff(21649,plain,((~node60(c_p0, s3)) | (~m_processor_v_abort(c_p2, s3)) | node59(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 50.79/33.41 tff(21650,plain,
% 50.79/33.41 (~m_processor_v_abort(c_p2, s3)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[21649, 21516, 21520])).
% 50.79/33.41 tff(21651,plain,
% 50.79/33.41 (~m_main_v_CMD(s3, c_response)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[12321, 21551])).
% 50.79/33.41 tff(21652,plain,
% 50.79/33.41 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s3, c_response) | (~node4(s3)) | (~m_processor_v_CMD(c_p2, s3, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s3, c_response) | (~node4(s3)) | (~m_processor_v_CMD(c_p2, s3, c_response)))),
% 50.79/33.41 inference(rewrite,[status(thm)],[])).
% 50.79/33.41 tff(21653,plain,
% 50.79/33.41 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s3, c_response) | (~node4(s3)) | (~m_processor_v_CMD(c_p2, s3, c_response)))),
% 50.79/33.41 inference(quant_inst,[status(thm)],[])).
% 50.79/33.41 tff(21654,plain,
% 50.79/33.41 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s3, c_response) | (~node4(s3)) | (~m_processor_v_CMD(c_p2, s3, c_response))),
% 50.79/33.41 inference(modus_ponens,[status(thm)],[21653, 21652])).
% 50.79/33.41 tff(21655,plain,
% 50.79/33.41 (~m_processor_v_CMD(c_p2, s3, c_response)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[21654, 21573, 21563, 21651])).
% 50.79/33.41 tff(21656,plain,
% 50.79/33.41 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p2, s3, c_response) | (~node49(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | m_processor_v_CMD(c_p2, s3, c_response) | (~node49(c_p2, s3)))),
% 50.79/33.41 inference(rewrite,[status(thm)],[])).
% 50.79/33.41 tff(21657,plain,
% 50.79/33.41 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p2, s3, c_response) | (~node49(c_p2, s3)))),
% 50.79/33.41 inference(quant_inst,[status(thm)],[])).
% 50.79/33.41 tff(21658,plain,
% 50.79/33.41 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | m_processor_v_CMD(c_p2, s3, c_response) | (~node49(c_p2, s3))),
% 50.79/33.41 inference(modus_ponens,[status(thm)],[21657, 21656])).
% 50.79/33.41 tff(21659,plain,
% 50.79/33.41 (~node49(c_p2, s3)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[21658, 11579, 21655])).
% 50.79/33.41 tff(21660,plain,
% 50.79/33.41 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s3, s4)) | node53(c_p2, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s3, s4)) | node53(c_p2, s3, s4))),
% 50.79/33.41 inference(rewrite,[status(thm)],[])).
% 50.79/33.41 tff(21661,plain,
% 50.79/33.41 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s3, s4)) | node53(c_p2, s3, s4))),
% 50.79/33.41 inference(quant_inst,[status(thm)],[])).
% 50.79/33.41 tff(21662,plain,
% 50.79/33.41 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s3, s4)) | node53(c_p2, s3, s4)),
% 50.79/33.41 inference(modus_ponens,[status(thm)],[21661, 21660])).
% 50.79/33.41 tff(21663,plain,
% 50.79/33.41 (node53(c_p2, s3, s4)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[21662, 575, 6623])).
% 50.79/33.41 tff(21664,plain,
% 50.79/33.41 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (node52(c_p2, s3, s4) | (~node53(c_p2, s3, s4)) | node48(c_p2, s3) | node47(c_p2, s3) | node50(c_p2, s3) | node49(c_p2, s3) | node51(c_p2, s3) | m_processor_v_abort(c_p2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | node52(c_p2, s3, s4) | (~node53(c_p2, s3, s4)) | node48(c_p2, s3) | node47(c_p2, s3) | node50(c_p2, s3) | node49(c_p2, s3) | node51(c_p2, s3) | m_processor_v_abort(c_p2, s3))),
% 50.79/33.41 inference(rewrite,[status(thm)],[])).
% 50.79/33.41 tff(21665,plain,
% 50.79/33.41 ((m_processor_v_abort(c_p2, s3) | node47(c_p2, s3) | node48(c_p2, s3) | node49(c_p2, s3) | node50(c_p2, s3) | node51(c_p2, s3) | node52(c_p2, s3, s4) | (~node53(c_p2, s3, s4))) <=> (node52(c_p2, s3, s4) | (~node53(c_p2, s3, s4)) | node48(c_p2, s3) | node47(c_p2, s3) | node50(c_p2, s3) | node49(c_p2, s3) | node51(c_p2, s3) | m_processor_v_abort(c_p2, s3))),
% 50.79/33.41 inference(rewrite,[status(thm)],[])).
% 50.79/33.41 tff(21666,plain,
% 50.79/33.41 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p2, s3) | node47(c_p2, s3) | node48(c_p2, s3) | node49(c_p2, s3) | node50(c_p2, s3) | node51(c_p2, s3) | node52(c_p2, s3, s4) | (~node53(c_p2, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (node52(c_p2, s3, s4) | (~node53(c_p2, s3, s4)) | node48(c_p2, s3) | node47(c_p2, s3) | node50(c_p2, s3) | node49(c_p2, s3) | node51(c_p2, s3) | m_processor_v_abort(c_p2, s3)))),
% 50.79/33.41 inference(monotonicity,[status(thm)],[21665])).
% 50.79/33.41 tff(21667,plain,
% 50.79/33.41 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p2, s3) | node47(c_p2, s3) | node48(c_p2, s3) | node49(c_p2, s3) | node50(c_p2, s3) | node51(c_p2, s3) | node52(c_p2, s3, s4) | (~node53(c_p2, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | node52(c_p2, s3, s4) | (~node53(c_p2, s3, s4)) | node48(c_p2, s3) | node47(c_p2, s3) | node50(c_p2, s3) | node49(c_p2, s3) | node51(c_p2, s3) | m_processor_v_abort(c_p2, s3))),
% 50.79/33.41 inference(transitivity,[status(thm)],[21666, 21664])).
% 50.79/33.41 tff(21668,plain,
% 50.79/33.41 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p2, s3) | node47(c_p2, s3) | node48(c_p2, s3) | node49(c_p2, s3) | node50(c_p2, s3) | node51(c_p2, s3) | node52(c_p2, s3, s4) | (~node53(c_p2, s3, s4)))),
% 50.79/33.41 inference(quant_inst,[status(thm)],[])).
% 50.79/33.41 tff(21669,plain,
% 50.79/33.41 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | node52(c_p2, s3, s4) | (~node53(c_p2, s3, s4)) | node48(c_p2, s3) | node47(c_p2, s3) | node50(c_p2, s3) | node49(c_p2, s3) | node51(c_p2, s3) | m_processor_v_abort(c_p2, s3)),
% 50.79/33.41 inference(modus_ponens,[status(thm)],[21668, 21667])).
% 50.79/33.41 tff(21670,plain,
% 50.79/33.41 (node52(c_p2, s3, s4) | node48(c_p2, s3) | node47(c_p2, s3) | node50(c_p2, s3) | node49(c_p2, s3) | node51(c_p2, s3) | m_processor_v_abort(c_p2, s3)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[21669, 11612, 21663])).
% 50.79/33.41 tff(21671,plain,
% 50.79/33.41 (node52(c_p2, s3, s4)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[21670, 21659, 21650, 21601, 21597, 21593, 21581])).
% 50.79/33.41 tff(21672,plain,
% 50.79/33.41 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p2, s3) | (~m_processor_v_waiting(c_p2, s4)) | (~node52(c_p2, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | m_processor_v_waiting(c_p2, s3) | (~m_processor_v_waiting(c_p2, s4)) | (~node52(c_p2, s3, s4)))),
% 50.79/33.41 inference(rewrite,[status(thm)],[])).
% 50.79/33.41 tff(21673,plain,
% 50.79/33.41 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p2, s3) | (~m_processor_v_waiting(c_p2, s4)) | (~node52(c_p2, s3, s4)))),
% 50.79/33.41 inference(quant_inst,[status(thm)],[])).
% 50.79/33.41 tff(21674,plain,
% 50.79/33.41 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | m_processor_v_waiting(c_p2, s3) | (~m_processor_v_waiting(c_p2, s4)) | (~node52(c_p2, s3, s4))),
% 50.79/33.41 inference(modus_ponens,[status(thm)],[21673, 21672])).
% 50.79/33.41 tff(21675,plain,
% 50.79/33.41 (~m_processor_v_waiting(c_p2, s4)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[21674, 20180, 21671, 21550])).
% 50.79/33.41 tff(21676,assumption,(node58(c_p2, s4)), introduced(assumption)).
% 50.79/33.41 tff(21677,assumption,(~m_processor_v_waiting(c_p2, s4)), introduced(assumption)).
% 50.79/33.41 tff(21678,plain,
% 50.79/33.41 (((~![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))) | (m_processor_v_waiting(c_p2, s4) | (~node58(c_p2, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))) | m_processor_v_waiting(c_p2, s4) | (~node58(c_p2, s4)))),
% 50.79/33.41 inference(rewrite,[status(thm)],[])).
% 50.79/33.41 tff(21679,plain,
% 50.79/33.41 ((~![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))) | (m_processor_v_waiting(c_p2, s4) | (~node58(c_p2, s4)))),
% 50.79/33.41 inference(quant_inst,[status(thm)],[])).
% 50.79/33.41 tff(21680,plain,
% 50.79/33.41 ((~![I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~node58(I0, X)))) | m_processor_v_waiting(c_p2, s4) | (~node58(c_p2, s4))),
% 50.79/33.41 inference(modus_ponens,[status(thm)],[21679, 21678])).
% 50.79/33.41 tff(21681,plain,
% 50.79/33.41 ($false),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[21680, 21496, 21677, 21676])).
% 50.79/33.41 tff(21682,plain,((~node58(c_p2, s4)) | m_processor_v_waiting(c_p2, s4)), inference(lemma,lemma(discharge,[]))).
% 50.79/33.41 tff(21683,plain,
% 50.79/33.41 (~node58(c_p2, s4)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[21682, 21675])).
% 50.79/33.41 tff(21684,assumption,(~node58(c_p2, s4)), introduced(assumption)).
% 50.79/33.41 tff(21685,assumption,(m_processor_v_reply_h_waiting(c_p2, s4)), introduced(assumption)).
% 50.79/33.41 tff(21686,plain,
% 50.79/33.41 (((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))) | ((~m_processor_v_reply_h_waiting(c_p2, s4)) | node58(c_p2, s4))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))) | (~m_processor_v_reply_h_waiting(c_p2, s4)) | node58(c_p2, s4))),
% 50.79/33.41 inference(rewrite,[status(thm)],[])).
% 50.79/33.41 tff(21687,plain,
% 50.79/33.41 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))) | ((~m_processor_v_reply_h_waiting(c_p2, s4)) | node58(c_p2, s4))),
% 50.79/33.41 inference(quant_inst,[status(thm)],[])).
% 50.79/33.41 tff(21688,plain,
% 50.79/33.41 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))) | (~m_processor_v_reply_h_waiting(c_p2, s4)) | node58(c_p2, s4)),
% 50.79/33.41 inference(modus_ponens,[status(thm)],[21687, 21686])).
% 50.79/33.41 tff(21689,plain,
% 50.79/33.41 ($false),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[21688, 21507, 21685, 21684])).
% 50.79/33.41 tff(21690,plain,(node58(c_p2, s4) | (~m_processor_v_reply_h_waiting(c_p2, s4))), inference(lemma,lemma(discharge,[]))).
% 50.79/33.41 tff(21691,plain,
% 50.79/33.41 (~m_processor_v_reply_h_waiting(c_p2, s4)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[21690, 21683])).
% 50.79/33.41 tff(21692,plain,
% 50.79/33.41 (m_processor_v_waiting(c_p0, s4)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[9842, 21512, 1752])).
% 50.79/33.41 tff(21693,assumption,(node52(c_p0, s4, s5)), introduced(assumption)).
% 50.79/33.41 tff(21694,plain,
% 50.79/33.41 ($false),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[17001, 10820, 1193, 19457, 21693])).
% 50.79/33.41 tff(21695,plain,((~node52(c_p0, s4, s5)) | m_processor_v_waiting(c_p0, s5) | (~m_processor_v_waiting(c_p0, s4))), inference(lemma,lemma(discharge,[]))).
% 50.79/33.41 tff(21696,plain,
% 50.79/33.41 (~node52(c_p0, s4, s5)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[21695, 21388, 21692])).
% 50.79/33.41 tff(21697,plain,
% 50.79/33.41 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_master(c_p1, s3) | m_processor_v_reply_h_owned(c_p1, s3))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_master(c_p1, s3) | m_processor_v_reply_h_owned(c_p1, s3))),
% 50.79/33.41 inference(rewrite,[status(thm)],[])).
% 50.79/33.41 tff(21698,plain,
% 50.79/33.41 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_master(c_p1, s3) | m_processor_v_reply_h_owned(c_p1, s3))),
% 50.79/33.41 inference(quant_inst,[status(thm)],[])).
% 50.79/33.41 tff(21699,plain,
% 50.79/33.41 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_master(c_p1, s3) | m_processor_v_reply_h_owned(c_p1, s3)),
% 50.79/33.41 inference(modus_ponens,[status(thm)],[21698, 21697])).
% 50.79/33.41 tff(21700,plain,
% 50.79/33.41 (m_processor_v_master(c_p1, s3) | m_processor_v_reply_h_owned(c_p1, s3)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[21699, 10170, 2595])).
% 50.79/33.41 tff(21701,plain,
% 50.79/33.41 (m_processor_v_reply_h_owned(c_p1, s3)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[21700, 21390])).
% 50.79/33.41 tff(21702,assumption,(m_processor_v_reply_h_owned(c_p1, s3)), introduced(assumption)).
% 50.79/33.41 tff(21703,assumption,(node5(s3)), introduced(assumption)).
% 50.79/33.41 tff(21704,plain,
% 50.79/33.41 (((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))) | ((~node5(s3)) | (~m_processor_v_reply_h_owned(c_p1, s3)))) <=> ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))) | (~node5(s3)) | (~m_processor_v_reply_h_owned(c_p1, s3)))),
% 50.79/33.41 inference(rewrite,[status(thm)],[])).
% 50.79/33.41 tff(21705,plain,
% 50.79/33.41 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))) | ((~node5(s3)) | (~m_processor_v_reply_h_owned(c_p1, s3)))),
% 50.79/33.41 inference(quant_inst,[status(thm)],[])).
% 50.79/33.41 tff(21706,plain,
% 50.79/33.41 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))) | (~node5(s3)) | (~m_processor_v_reply_h_owned(c_p1, s3))),
% 50.79/33.41 inference(modus_ponens,[status(thm)],[21705, 21704])).
% 50.79/33.41 tff(21707,plain,
% 50.79/33.41 ($false),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[21706, 10333, 21703, 21702])).
% 50.79/33.41 tff(21708,plain,((~m_processor_v_reply_h_owned(c_p1, s3)) | (~node5(s3))), inference(lemma,lemma(discharge,[]))).
% 50.79/33.41 tff(21709,plain,
% 50.79/33.41 (~node5(s3)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[21708, 21701])).
% 50.79/33.41 tff(21710,plain,
% 50.79/33.41 (m_main_v_REPLY_h_OWNED(s3)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[19697, 21709])).
% 50.79/33.41 tff(21711,plain,
% 50.79/33.41 (m_memory_v_REPLY_h_OWNED(c_m, s3)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[19705, 21710])).
% 50.79/33.41 tff(21712,plain,
% 50.79/33.41 (m_memory_v_CMD(c_m, s3, c_read_h_owned)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[10550, 4207, 21551, 10083])).
% 50.79/33.41 tff(21713,plain,
% 50.79/33.41 (~node25(c_m, s3)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[19740, 9959, 21712])).
% 50.79/33.41 tff(21714,plain,
% 50.79/33.41 (~node26(c_m, s3)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[19749, 21713, 21711])).
% 50.79/33.41 tff(21715,plain,
% 50.79/33.41 (m_memory_v_abort(c_m, s3)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[19756, 21714])).
% 50.79/33.41 tff(21716,plain,
% 50.79/33.41 (node18(c_m, s3, s4)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[9878, 21715])).
% 50.79/33.41 tff(21717,plain,
% 50.79/33.41 (~node30(c_m, s3)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[10554, 5042, 21712])).
% 50.79/33.41 tff(21718,plain,
% 50.79/33.41 (~m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[10494, 21520])).
% 50.79/33.41 tff(21719,plain,
% 50.79/33.41 (~m_main_v_REPLY_h_STALL(s3)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[10502, 21718])).
% 50.79/33.41 tff(21720,plain,
% 50.79/33.41 (node7(s3)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[10510, 21719])).
% 50.79/33.41 tff(21721,plain,
% 50.79/33.41 (~m_memory_v_reply_h_stall(c_m, s3)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[10518, 21720])).
% 50.79/33.41 tff(21722,plain,
% 50.79/33.41 (~m_memory_v_busy(c_m, s3)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[10526, 21721, 21717])).
% 50.79/33.41 tff(21723,plain,
% 50.79/33.41 (~m_memory_v_busy(c_m, s4)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[20093, 21722, 21716])).
% 50.79/33.41 tff(21724,plain,
% 50.79/33.41 (~node29(c_m, s4)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[2077, 21723])).
% 50.79/33.41 tff(21725,plain,
% 50.79/33.41 (m_memory_v_cmd(c_m, s4, c_idle)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[1325, 21724])).
% 50.79/33.41 tff(21726,assumption,(~m_processor_v_reply_h_waiting(c_p1, s4)), introduced(assumption)).
% 50.79/33.41 tff(21727,assumption,(~m_processor_v_reply_h_waiting(c_p2, s4)), introduced(assumption)).
% 50.79/33.41 tff(21728,assumption,(~node52(c_p0, s4, s5)), introduced(assumption)).
% 50.79/33.41 tff(21729,assumption,(~node51(c_p0, s4)), introduced(assumption)).
% 50.79/33.41 tff(21730,plain,
% 50.79/33.41 (m_processor_v_cmd(c_p0, s4, c_idle)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[12616, 1126])).
% 50.79/33.41 tff(21731,plain,
% 50.79/33.41 (m_main_v_CMD(s4, c_idle)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[20006, 21730, 1519, 1620])).
% 50.79/33.41 tff(21732,plain,
% 50.79/33.41 (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[20018, 7663, 21731])).
% 50.79/33.41 tff(21733,plain,
% 50.79/33.41 (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[17661, 21732])).
% 50.79/33.41 tff(21734,plain,
% 50.79/33.41 (~node50(c_p0, s4)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[17669, 21733])).
% 50.79/33.41 tff(21735,plain,
% 50.79/33.41 (~node47(c_p0, s4)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[17643, 12108, 1126])).
% 50.79/33.41 tff(21736,plain,
% 50.79/33.41 (~node48(c_p0, s4)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[17697, 11562, 1126])).
% 50.79/33.41 tff(21737,plain,
% 50.79/33.41 (~m_main_v_CMD(s4, c_read_h_shared)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[16830, 21730, 1519, 1620])).
% 50.79/33.41 tff(21738,plain,
% 50.79/33.41 (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[1617, 21737])).
% 50.79/33.41 tff(21739,plain,
% 50.79/33.41 (~m_main_v_CMD(s4, c_read_h_owned)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[2180, 21730, 1620])).
% 50.79/33.41 tff(21740,plain,
% 50.79/33.41 (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[17687, 1612, 1218, 21739])).
% 50.79/33.41 tff(21741,plain,
% 50.79/33.41 (~node61(c_p0, s4)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[17691, 2268, 21740, 21738])).
% 50.79/33.41 tff(21742,plain,
% 50.79/33.41 (~m_processor_v_abort(c_p0, s4)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[1881, 21741, 1371])).
% 50.79/33.41 tff(21743,plain,
% 50.79/33.41 (~m_main_v_CMD(s4, c_response)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[20010, 10097, 21731])).
% 50.79/33.41 tff(21744,plain,
% 50.79/33.41 (~m_processor_v_CMD(c_p0, s4, c_response)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[17628, 21743])).
% 50.79/33.41 tff(21745,plain,
% 50.79/33.41 (~node49(c_p0, s4)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[17639, 21744])).
% 50.79/33.41 tff(21746,plain,
% 50.79/33.41 ($false),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[16905, 21745, 21742, 21728, 21729, 21736, 21735, 21734])).
% 50.79/33.41 tff(21747,plain,(m_processor_v_master(c_p0, s4) | node52(c_p0, s4, s5) | node51(c_p0, s4) | m_processor_v_REPLY_h_STALL(c_p0, s4) | (~m_memory_v_cmd(c_m, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.79/33.41 tff(21748,plain,
% 50.79/33.41 (m_processor_v_master(c_p0, s4)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[21747, 21729, 21728, 1371, 1519, 1620])).
% 50.79/33.41 tff(21749,plain,
% 50.79/33.41 (~node50(c_p0, s4)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[16869, 16866, 21748])).
% 50.79/33.41 tff(21750,plain,
% 50.79/33.41 (~m_main_v_CMD(s4, c_read_h_shared)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[16856, 21748, 1752])).
% 50.79/33.41 tff(21751,plain,
% 50.79/33.41 (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[1617, 21750])).
% 50.79/33.41 tff(21752,plain,
% 50.79/33.41 (~node47(c_p0, s4)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[1337, 657, 21751])).
% 50.79/33.41 tff(21753,plain,
% 50.79/33.41 (~node49(c_p0, s4)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[16758, 16755, 21748])).
% 50.79/33.41 tff(21754,plain,
% 50.79/33.41 (^[I0: $i, X: $i] : refl(((~m_processor_v_master(I0, X)) | (~node58(I0, X))) <=> ((~m_processor_v_master(I0, X)) | (~node58(I0, X))))),
% 50.79/33.41 inference(bind,[status(th)],[])).
% 50.79/33.41 tff(21755,plain,
% 50.79/33.41 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node58(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node58(I0, X)))),
% 50.79/33.41 inference(quant_intro,[status(thm)],[21754])).
% 50.79/33.41 tff(21756,plain,
% 50.79/33.41 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node58(I0, X))) <=> ![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node58(I0, X)))),
% 50.79/33.41 inference(rewrite,[status(thm)],[])).
% 50.79/33.41 tff(21757,axiom,(![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node58(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_130')).
% 50.79/33.41 tff(21758,plain,
% 50.79/33.41 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node58(I0, X)))),
% 50.79/33.41 inference(modus_ponens,[status(thm)],[21757, 21756])).
% 50.79/33.41 tff(21759,plain,(
% 50.79/33.41 ![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node58(I0, X)))),
% 50.79/33.41 inference(skolemize,[status(sab)],[21758])).
% 50.79/33.41 tff(21760,plain,
% 50.79/33.41 (![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node58(I0, X)))),
% 50.79/33.41 inference(modus_ponens,[status(thm)],[21759, 21755])).
% 50.79/33.41 tff(21761,plain,
% 50.79/33.41 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node58(I0, X)))) | ((~m_processor_v_master(c_p0, s4)) | (~node58(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node58(I0, X)))) | (~m_processor_v_master(c_p0, s4)) | (~node58(c_p0, s4)))),
% 50.79/33.41 inference(rewrite,[status(thm)],[])).
% 50.79/33.41 tff(21762,plain,
% 50.79/33.41 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node58(I0, X)))) | ((~m_processor_v_master(c_p0, s4)) | (~node58(c_p0, s4)))),
% 50.79/33.41 inference(quant_inst,[status(thm)],[])).
% 50.79/33.41 tff(21763,plain,
% 50.79/33.41 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node58(I0, X)))) | (~m_processor_v_master(c_p0, s4)) | (~node58(c_p0, s4))),
% 50.79/33.41 inference(modus_ponens,[status(thm)],[21762, 21761])).
% 50.79/33.41 tff(21764,plain,
% 50.79/33.41 (~node58(c_p0, s4)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[21763, 21760, 21748])).
% 50.79/33.41 tff(21765,plain,
% 50.79/33.41 (((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))) | ((~m_processor_v_reply_h_waiting(c_p0, s4)) | node58(c_p0, s4))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))) | (~m_processor_v_reply_h_waiting(c_p0, s4)) | node58(c_p0, s4))),
% 50.79/33.41 inference(rewrite,[status(thm)],[])).
% 50.79/33.41 tff(21766,plain,
% 50.79/33.41 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))) | ((~m_processor_v_reply_h_waiting(c_p0, s4)) | node58(c_p0, s4))),
% 50.79/33.41 inference(quant_inst,[status(thm)],[])).
% 50.79/33.41 tff(21767,plain,
% 50.79/33.41 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_waiting(I0, X)) | node58(I0, X))) | (~m_processor_v_reply_h_waiting(c_p0, s4)) | node58(c_p0, s4)),
% 50.79/33.41 inference(modus_ponens,[status(thm)],[21766, 21765])).
% 50.79/33.41 tff(21768,plain,
% 50.79/33.41 (~m_processor_v_reply_h_waiting(c_p0, s4)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[21767, 21507, 21764])).
% 50.79/33.41 tff(21769,plain,
% 50.79/33.41 (^[X: $i] : refl(((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X)) <=> ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X)))),
% 50.79/33.41 inference(bind,[status(th)],[])).
% 50.79/33.41 tff(21770,plain,
% 50.79/33.41 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X))),
% 50.79/33.41 inference(quant_intro,[status(thm)],[21769])).
% 50.79/33.41 tff(21771,plain,
% 50.79/33.41 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X))),
% 50.79/33.41 inference(rewrite,[status(thm)],[])).
% 50.79/33.41 tff(21772,plain,
% 50.79/33.41 (^[X: $i] : trans(monotonicity(rewrite((((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X)) | m_processor_v_reply_h_waiting(c_p1, X)) <=> ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X))), (((((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X)) | m_processor_v_reply_h_waiting(c_p1, X)) | m_processor_v_reply_h_waiting(c_p2, X)) <=> (((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X)) | m_processor_v_reply_h_waiting(c_p2, X)))), rewrite((((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X)) | m_processor_v_reply_h_waiting(c_p2, X)) <=> ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X))), (((((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X)) | m_processor_v_reply_h_waiting(c_p1, X)) | m_processor_v_reply_h_waiting(c_p2, X)) <=> ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X))))),
% 50.79/33.41 inference(bind,[status(th)],[])).
% 50.79/33.41 tff(21773,plain,
% 50.79/33.41 (![X: $i] : ((((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X)) | m_processor_v_reply_h_waiting(c_p1, X)) | m_processor_v_reply_h_waiting(c_p2, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X))),
% 50.79/33.41 inference(quant_intro,[status(thm)],[21772])).
% 50.79/33.41 tff(21774,axiom,(![X: $i] : ((((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X)) | m_processor_v_reply_h_waiting(c_p1, X)) | m_processor_v_reply_h_waiting(c_p2, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_83')).
% 50.79/33.41 tff(21775,plain,
% 50.79/33.41 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X))),
% 50.79/33.41 inference(modus_ponens,[status(thm)],[21774, 21773])).
% 50.79/33.41 tff(21776,plain,
% 50.79/33.41 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X))),
% 50.79/33.41 inference(modus_ponens,[status(thm)],[21775, 21771])).
% 50.79/33.41 tff(21777,plain,(
% 50.79/33.41 ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X))),
% 50.79/33.41 inference(skolemize,[status(sab)],[21776])).
% 50.79/33.41 tff(21778,plain,
% 50.79/33.41 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X))),
% 50.79/33.41 inference(modus_ponens,[status(thm)],[21777, 21770])).
% 50.79/33.41 tff(21779,plain,
% 50.79/33.41 (((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X))) | ((~m_main_v_REPLY_h_WAITING(s4)) | m_processor_v_reply_h_waiting(c_p0, s4) | m_processor_v_reply_h_waiting(c_p1, s4) | m_processor_v_reply_h_waiting(c_p2, s4))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X))) | (~m_main_v_REPLY_h_WAITING(s4)) | m_processor_v_reply_h_waiting(c_p0, s4) | m_processor_v_reply_h_waiting(c_p1, s4) | m_processor_v_reply_h_waiting(c_p2, s4))),
% 50.79/33.41 inference(rewrite,[status(thm)],[])).
% 50.79/33.41 tff(21780,plain,
% 50.79/33.41 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X))) | ((~m_main_v_REPLY_h_WAITING(s4)) | m_processor_v_reply_h_waiting(c_p0, s4) | m_processor_v_reply_h_waiting(c_p1, s4) | m_processor_v_reply_h_waiting(c_p2, s4))),
% 50.79/33.41 inference(quant_inst,[status(thm)],[])).
% 50.79/33.41 tff(21781,plain,
% 50.79/33.41 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_reply_h_waiting(c_p0, X) | m_processor_v_reply_h_waiting(c_p1, X) | m_processor_v_reply_h_waiting(c_p2, X))) | (~m_main_v_REPLY_h_WAITING(s4)) | m_processor_v_reply_h_waiting(c_p0, s4) | m_processor_v_reply_h_waiting(c_p1, s4) | m_processor_v_reply_h_waiting(c_p2, s4)),
% 50.79/33.41 inference(modus_ponens,[status(thm)],[21780, 21779])).
% 50.79/33.41 tff(21782,plain,
% 50.79/33.41 ((~m_main_v_REPLY_h_WAITING(s4)) | m_processor_v_reply_h_waiting(c_p0, s4) | m_processor_v_reply_h_waiting(c_p2, s4)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[21781, 21778, 21726])).
% 50.79/33.41 tff(21783,plain,
% 50.79/33.41 (~m_main_v_REPLY_h_WAITING(s4)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[21782, 21768, 21727])).
% 50.79/33.41 tff(21784,plain,
% 50.79/33.41 (~m_processor_v_REPLY_h_WAITING(c_p0, s4)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[1914, 21783])).
% 50.79/33.41 tff(21785,plain,
% 50.79/33.41 (~node61(c_p0, s4)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[1896, 21784])).
% 50.79/33.41 tff(21786,plain,
% 50.79/33.41 (~m_processor_v_abort(c_p0, s4)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[1881, 21785, 1371])).
% 50.79/33.41 tff(21787,plain,
% 50.79/33.41 (node48(c_p0, s4)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[16905, 21786, 21728, 21729, 21753, 21752, 21749])).
% 50.79/33.41 tff(21788,plain,
% 50.79/33.41 (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)),
% 50.79/33.41 inference(unit_resolution,[status(thm)],[1345, 21786, 21748, 1193, 21752])).
% 50.79/33.42 tff(21789,plain,
% 50.79/33.42 ($false),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[16886, 16883, 21788, 21787])).
% 50.79/33.42 tff(21790,plain,(node51(c_p0, s4) | m_processor_v_waiting(c_p0, s5) | node52(c_p0, s4, s5) | m_processor_v_REPLY_h_STALL(c_p0, s4) | m_processor_v_reply_h_waiting(c_p2, s4) | m_processor_v_reply_h_waiting(c_p1, s4) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_memory_v_cmd(c_m, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.79/33.42 tff(21791,plain,
% 50.79/33.42 (node51(c_p0, s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21790, 1620, 21728, 1371, 21727, 21726, 1752, 1519, 1193])).
% 50.79/33.42 tff(21792,plain,
% 50.79/33.42 (~m_processor_v_master(c_p0, s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[16897, 16894, 21791])).
% 50.79/33.42 tff(21793,plain,
% 50.79/33.42 (m_processor_v_cmd(c_p0, s4, c_idle)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[12616, 21792])).
% 50.79/33.42 tff(21794,plain,
% 50.79/33.42 (m_main_v_CMD(s4, c_idle)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[20006, 21793, 1519, 1620])).
% 50.79/33.42 tff(21795,assumption,(node51(c_p0, s4)), introduced(assumption)).
% 50.79/33.42 tff(21796,plain,
% 50.79/33.42 ($false),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[17705, 11549, 20025, 21795])).
% 50.79/33.42 tff(21797,plain,((~node51(c_p0, s4)) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.79/33.42 tff(21798,plain,
% 50.79/33.42 (m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21797, 21791])).
% 50.79/33.42 tff(21799,assumption,(m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.79/33.42 tff(21800,plain,
% 50.79/33.42 ($false),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[17701, 1612, 1218, 12870, 21799])).
% 50.79/33.42 tff(21801,plain,((~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)) | m_main_v_CMD(s4, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.79/33.42 tff(21802,plain,
% 50.79/33.42 (m_main_v_CMD(s4, c_write_h_resp_h_shared)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21801, 21798])).
% 50.79/33.42 tff(21803,plain,
% 50.79/33.42 ($false),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[20070, 7650, 21802, 21794])).
% 50.79/33.42 tff(21804,plain,((~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_memory_v_cmd(c_m, s4, c_idle)) | node52(c_p0, s4, s5) | m_processor_v_REPLY_h_STALL(c_p0, s4) | m_processor_v_reply_h_waiting(c_p2, s4) | m_processor_v_reply_h_waiting(c_p1, s4) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_waiting(c_p0, s5)), inference(lemma,lemma(discharge,[]))).
% 50.79/33.42 tff(21805,plain,
% 50.79/33.42 (~m_processor_v_cmd(c_p1, s4, c_idle)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21804, 21725, 21696, 20076, 21691, 21511, 1752, 21388])).
% 50.79/33.42 tff(21806,plain,
% 50.79/33.42 (~node9(s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[12703, 3443, 21805])).
% 50.79/33.42 tff(21807,plain,
% 50.79/33.42 (m_processor_v_master(c_p1, s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[1517, 21805])).
% 50.79/33.42 tff(21808,plain,
% 50.79/33.42 (m_processor_v_state(c_p0, s4, c_owned)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21268, 17207, 5949, 5668, 5667, 2621, 5932])).
% 50.79/33.42 tff(21809,plain,
% 50.79/33.42 (m_processor_v_waiting(c_p0, s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[9842, 2642, 21808])).
% 50.79/33.42 tff(21810,plain,
% 50.79/33.42 (~m_processor_v_state(c_p1, s4, c_shared)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[19480, 21809, 559, 160])).
% 50.79/33.42 tff(21811,plain,
% 50.79/33.42 (~node63(c_p1, s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[12632, 1809, 21810])).
% 50.79/33.42 tff(21812,plain,
% 50.79/33.42 (m_processor_v_master(c_p0, s3)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[9728, 2642, 21808])).
% 50.79/33.42 tff(21813,plain,
% 50.79/33.42 (~m_processor_v_master(c_p1, s3)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[9444, 794, 21812])).
% 50.79/33.42 tff(21814,plain,
% 50.79/33.42 (m_processor_v_state(c_p1, s4, c_owned)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[16488, 21813, 2595])).
% 50.79/33.42 tff(21815,plain,
% 50.79/33.42 (node34(c_p1, s4, s5)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[17176, 1432, 1425])).
% 50.79/33.42 tff(21816,plain,
% 50.79/33.42 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[6599, 137, 21814])).
% 50.79/33.42 tff(21817,plain,
% 50.79/33.42 (~node62(c_p1, s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[12628, 1633, 21816])).
% 50.79/33.42 tff(21818,plain,
% 50.79/33.42 (~m_processor_v_CMD(c_p1, s4, c_write_h_invalid)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[17242, 19204])).
% 50.79/33.42 tff(21819,plain,
% 50.79/33.42 (~m_main_v_CMD(s4, c_write_h_resp_h_shared)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[17538, 17187, 160, 1935])).
% 50.79/33.42 tff(21820,plain,
% 50.79/33.42 (m_processor_v_CMD(c_p1, s4, c_read_h_shared) | m_processor_v_CMD(c_p1, s4, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid))),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[19212, 438, 559, 17187, 1935])).
% 50.79/33.42 tff(21821,plain,
% 50.79/33.42 (~m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21820, 21818, 19204])).
% 50.79/33.42 tff(21822,assumption,(m_main_v_CMD(s4, c_write_h_resp_h_invalid)), introduced(assumption)).
% 50.79/33.42 tff(21823,plain,
% 50.79/33.42 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node3(s4)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node3(s4)))),
% 50.79/33.42 inference(rewrite,[status(thm)],[])).
% 50.79/33.42 tff(21824,plain,
% 50.79/33.42 (((~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node3(s4)) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid)) <=> (m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node3(s4)))),
% 50.79/33.42 inference(rewrite,[status(thm)],[])).
% 50.79/33.42 tff(21825,plain,
% 50.79/33.42 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node3(s4)) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node3(s4))))),
% 50.79/33.42 inference(monotonicity,[status(thm)],[21824])).
% 50.79/33.42 tff(21826,plain,
% 50.79/33.42 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node3(s4)) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node3(s4)))),
% 50.79/33.42 inference(transitivity,[status(thm)],[21825, 21823])).
% 50.79/33.42 tff(21827,plain,
% 50.79/33.42 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node3(s4)) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid))),
% 50.79/33.42 inference(quant_inst,[status(thm)],[])).
% 50.79/33.42 tff(21828,plain,
% 50.79/33.42 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | (~node3(s4))),
% 50.79/33.42 inference(modus_ponens,[status(thm)],[21827, 21826])).
% 50.79/33.42 tff(21829,plain,
% 50.79/33.42 ($false),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21828, 1945, 1250, 19215, 21822])).
% 50.79/33.42 tff(21830,plain,((~m_main_v_CMD(s4, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p1, s4, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.79/33.42 tff(21831,plain,
% 50.79/33.42 (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21830, 21821])).
% 50.79/33.42 tff(21832,plain,
% 50.79/33.42 (m_main_v_CMD(s4, c_write_h_invalid)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[12910, 21831, 6605, 1432, 12869, 12634, 12635, 21819])).
% 50.79/33.42 tff(21833,plain,
% 50.79/33.42 ($false),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[17222, 1945, 1250, 21832, 21818])).
% 50.79/33.42 tff(21834,plain,((~node34(c_p1, s4, s5)) | (~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | (~node10(s4)) | node63(c_p1, s4) | node62(c_p1, s4) | m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_CMD(c_p1, s4, c_read_h_owned) | m_processor_v_state(c_p1, s5, c_shared)), inference(lemma,lemma(discharge,[]))).
% 50.79/33.42 tff(21835,plain,
% 50.79/33.42 (m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21834, 21817, 559, 160, 1432, 21815, 12869, 21814, 21811])).
% 50.79/33.42 tff(21836,plain,
% 50.79/33.42 (m_processor_v_waiting(c_p1, s5)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[19259, 21835, 19853, 1432, 1425])).
% 50.79/33.42 tff(21837,plain,
% 50.79/33.42 (~node56(c_p0, s3)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[2650, 2642])).
% 50.79/33.42 tff(21838,plain,
% 50.79/33.42 (~m_processor_v_writable(c_p0, s3)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[2639, 21837])).
% 50.79/33.42 tff(21839,plain,
% 50.79/33.42 (~node67(s3)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[2631, 21838])).
% 50.79/33.42 tff(21840,plain,
% 50.79/33.42 (~node56(c_p0, s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[9373, 540, 21809])).
% 50.79/33.42 tff(21841,plain,
% 50.79/33.42 (~m_processor_v_writable(c_p0, s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[67, 28, 21840])).
% 50.79/33.42 tff(21842,plain,
% 50.79/33.42 (~node67(s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[73, 43, 21841])).
% 50.79/33.42 tff(21843,plain,
% 50.79/33.42 (node67(s5)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[6251, 21842, 5932, 5949, 21839, 5668, 5667])).
% 50.79/33.42 tff(21844,plain,
% 50.79/33.42 (m_processor_v_writable(c_p1, s5)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[103, 21843])).
% 50.79/33.42 tff(21845,plain,
% 50.79/33.42 (node56(c_p1, s5)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[88, 21844])).
% 50.79/33.42 tff(21846,plain,
% 50.79/33.42 ($false),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[19116, 21845, 21836])).
% 50.79/33.42 tff(21847,plain,(m_processor_v_state(c_p0, s3, c_owned) | node47(c_p1, s4) | (~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_state(c_p1, s5, c_shared) | (~node10(s4)) | node67(s8) | node67(s9) | node67(s6) | node67(s7) | (~m_processor_v_state(c_p1, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.79/33.42 tff(21848,plain,
% 50.79/33.42 (~node10(s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21847, 21807, 19853, 1425, 559, 160, 21512, 5932, 5949, 5668, 5667, 2595])).
% 50.79/33.42 tff(21849,plain,
% 50.79/33.42 (~node16(s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[12622, 21807])).
% 50.79/33.42 tff(21850,plain,
% 50.79/33.42 (~m_processor_v_master(c_p2, s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[1550, 21849])).
% 50.79/33.42 tff(21851,plain,
% 50.79/33.42 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[1582, 21850])).
% 50.79/33.42 tff(21852,plain,
% 50.79/33.42 (~m_processor_v_cmd(c_p0, s4, c_idle)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[12712, 3461, 21851, 21725, 21848, 21806])).
% 50.79/33.42 tff(21853,plain,
% 50.79/33.42 (~m_processor_v_master(c_p0, s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[1435, 794, 21807])).
% 50.79/33.42 tff(21854,plain,
% 50.79/33.42 ($false),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[12616, 21853, 21852])).
% 50.79/33.42 tff(21855,plain,((~m_processor_v_state(c_p0, s2, c_invalid)) | node47(c_p1, s4) | m_processor_v_abort(c_p1, s4) | m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_state(c_p1, s5, c_shared) | node67(s8) | node67(s9) | node67(s6) | node67(s7) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_master(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 50.79/33.42 tff(21856,plain,
% 50.79/33.42 (~m_processor_v_state(c_p0, s2, c_invalid)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21855, 2622, 1425, 559, 160, 5932, 5949, 52, 6553, 2595, 21381, 19853])).
% 50.79/33.42 tff(21857,plain,
% 50.79/33.42 (m_processor_v_state(c_p1, s2, c_invalid)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[5074, 21856])).
% 50.79/33.42 tff(21858,plain,
% 50.79/33.42 (m_main_v_CMD(s2, c_read_h_owned)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[5372, 21857, 2595])).
% 50.79/33.42 tff(21859,plain,
% 50.79/33.42 (~m_main_v_CMD(s2, c_write_h_resp_h_shared)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[16614, 7940, 21858])).
% 50.79/33.42 tff(21860,plain,
% 50.79/33.42 (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[11303, 21859])).
% 50.79/33.42 tff(21861,plain,
% 50.79/33.42 (~node51(c_p0, s2)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[20757, 21860])).
% 50.79/33.42 tff(21862,plain,
% 50.79/33.42 (~node32(c_p1, s2, s3)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[5107, 21857, 2621])).
% 50.79/33.42 tff(21863,plain,
% 50.79/33.42 (~m_processor_v_abort(c_p1, s2)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[5121, 21862])).
% 50.79/33.42 tff(21864,plain,
% 50.79/33.42 (node60(c_p1, s2)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[9293, 21863])).
% 50.79/33.42 tff(21865,plain,
% 50.79/33.42 (~m_processor_v_REPLY_h_STALL(c_p1, s2)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[9301, 21864])).
% 50.79/33.42 tff(21866,plain,
% 50.79/33.42 (~m_main_v_REPLY_h_STALL(s2)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[9309, 21865])).
% 50.79/33.42 tff(21867,plain,
% 50.79/33.42 (~m_processor_v_REPLY_h_STALL(c_p0, s2)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[9317, 21866])).
% 50.79/33.42 tff(21868,plain,
% 50.79/33.42 (m_processor_v_CMD(c_p1, s2, c_read_h_owned)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[5401, 21858])).
% 50.79/33.42 tff(21869,plain,
% 50.79/33.42 (~node59(c_p1, s2)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[10308, 707, 21868])).
% 50.79/33.42 tff(21870,plain,
% 50.79/33.42 (~m_processor_v_REPLY_h_WAITING(c_p1, s2)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[9332, 21869, 21864])).
% 50.79/33.42 tff(21871,plain,
% 50.79/33.42 (~m_main_v_REPLY_h_WAITING(s2)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[9340, 21870])).
% 50.79/33.42 tff(21872,plain,
% 50.79/33.42 (~m_processor_v_REPLY_h_WAITING(c_p0, s2)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[9348, 21871])).
% 50.79/33.42 tff(21873,plain,
% 50.79/33.42 (~node61(c_p0, s2)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[9356, 21872])).
% 50.79/33.42 tff(21874,plain,
% 50.79/33.42 (~m_processor_v_abort(c_p0, s2)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[9365, 21873, 21867])).
% 50.79/33.42 tff(21875,plain,
% 50.79/33.42 (m_processor_v_snoop(c_p1, s3, c_invalid)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[8655, 9942])).
% 50.79/33.42 tff(21876,plain,
% 50.79/33.42 (~m_main_v_CMD(s2, c_read_h_shared)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[8797, 5373])).
% 50.79/33.42 tff(21877,plain,
% 50.79/33.42 (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[8791, 21876])).
% 50.79/33.42 tff(21878,plain,
% 50.79/33.42 (~node47(c_p1, s2)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[5419, 657, 21877])).
% 50.79/33.42 tff(21879,plain,
% 50.79/33.42 (m_processor_v_waiting(c_p1, s3)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[5403, 21878, 2621, 5076, 2595])).
% 50.79/33.42 tff(21880,plain,
% 50.79/33.42 (~m_processor_v_state(c_p1, s2, c_owned)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[5490, 5076])).
% 50.79/33.42 tff(21881,plain,
% 50.79/33.42 (~node56(c_p1, s2)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[5723, 21880])).
% 50.79/33.42 tff(21882,plain,
% 50.79/33.42 (~m_processor_v_writable(c_p1, s2)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[5713, 21881])).
% 50.79/33.42 tff(21883,assumption,(node48(c_p1, s4)), introduced(assumption)).
% 50.79/33.42 tff(21884,plain,
% 50.79/33.42 (m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21232, 16883, 21883])).
% 50.79/33.42 tff(21885,plain,
% 50.79/33.42 (m_main_v_CMD(s4, c_read_h_owned)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[2280, 21884])).
% 50.79/33.42 tff(21886,plain,
% 50.79/33.42 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s4, c_read_h_owned)) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s4, c_read_h_owned)) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)))),
% 50.79/33.42 inference(rewrite,[status(thm)],[])).
% 50.79/33.42 tff(21887,plain,
% 50.79/33.42 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s4, c_read_h_owned)) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)))),
% 50.79/33.42 inference(quant_inst,[status(thm)],[])).
% 50.79/33.42 tff(21888,plain,
% 50.79/33.42 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s4, c_read_h_owned)) | (~m_main_v_CMD(s4, c_write_h_resp_h_invalid))),
% 50.79/33.42 inference(modus_ponens,[status(thm)],[21887, 21886])).
% 50.79/33.42 tff(21889,plain,
% 50.79/33.42 (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21888, 7953, 21885])).
% 50.79/33.42 tff(21890,plain,
% 50.79/33.42 (m_processor_v_master(c_p1, s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[19525, 11562, 21883])).
% 50.79/33.42 tff(21891,plain,
% 50.79/33.42 (m_processor_v_waiting(c_p1, s5)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[19259, 21884, 19853, 21890, 1425])).
% 50.79/33.42 tff(21892,plain,
% 50.79/33.42 (~node56(c_p1, s5)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[19116, 21891])).
% 50.79/33.42 tff(21893,plain,
% 50.79/33.42 (~m_processor_v_writable(c_p1, s5)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[88, 21892])).
% 50.79/33.42 tff(21894,plain,
% 50.79/33.42 (~node67(s5)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[103, 21893])).
% 50.79/33.42 tff(21895,plain,
% 50.79/33.42 (node67(s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[17905, 21894, 5932, 5949, 5668, 5667, 5091])).
% 50.79/33.42 tff(21896,plain,
% 50.79/33.42 (m_processor_v_writable(c_p1, s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[6565, 21895])).
% 50.79/33.42 tff(21897,plain,
% 50.79/33.42 (node56(c_p1, s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[6573, 21896])).
% 50.79/33.42 tff(21898,plain,
% 50.79/33.42 (m_processor_v_state(c_p1, s4, c_owned)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[6584, 21897])).
% 50.79/33.42 tff(21899,plain,
% 50.79/33.42 (~m_main_v_CMD(s4, c_write_h_resp_h_shared)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[20065, 7940, 21885])).
% 50.79/33.42 tff(21900,plain,
% 50.79/33.42 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s4, c_read_h_owned)) | (~m_main_v_CMD(s4, c_write_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s4, c_read_h_owned)) | (~m_main_v_CMD(s4, c_write_h_invalid)))),
% 50.79/33.42 inference(rewrite,[status(thm)],[])).
% 50.79/33.42 tff(21901,plain,
% 50.79/33.42 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s4, c_read_h_owned)) | (~m_main_v_CMD(s4, c_write_h_invalid)))),
% 50.79/33.42 inference(quant_inst,[status(thm)],[])).
% 50.79/33.42 tff(21902,plain,
% 50.79/33.42 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s4, c_read_h_owned)) | (~m_main_v_CMD(s4, c_write_h_invalid))),
% 50.79/33.42 inference(modus_ponens,[status(thm)],[21901, 21900])).
% 50.79/33.42 tff(21903,plain,
% 50.79/33.42 (~m_main_v_CMD(s4, c_write_h_invalid)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21902, 12451, 21885])).
% 50.79/33.42 tff(21904,plain,
% 50.79/33.42 (~node16(s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[12622, 21890])).
% 50.79/33.42 tff(21905,plain,
% 50.79/33.42 (~m_processor_v_master(c_p2, s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[1550, 21904])).
% 50.79/33.42 tff(21906,plain,
% 50.79/33.42 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[1582, 21905])).
% 50.79/33.42 tff(21907,plain,
% 50.79/33.42 (~m_processor_v_master(c_p0, s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[1435, 794, 21890])).
% 50.79/33.42 tff(21908,plain,
% 50.79/33.42 (m_processor_v_cmd(c_p0, s4, c_idle)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[12616, 21907])).
% 50.79/33.42 tff(21909,plain,
% 50.79/33.42 (~node17(s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[6871, 21890])).
% 50.79/33.42 tff(21910,plain,
% 50.79/33.42 (~m_memory_v_master(c_m, s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[1295, 21909])).
% 50.79/33.42 tff(21911,plain,
% 50.79/33.42 (~node29(c_m, s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[1310, 21910])).
% 50.79/33.42 tff(21912,plain,
% 50.79/33.42 (m_memory_v_cmd(c_m, s4, c_idle)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[1325, 21911])).
% 50.79/33.42 tff(21913,plain,
% 50.79/33.42 (~m_processor_v_cmd(c_p1, s4, c_idle)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[2180, 21908, 21885])).
% 50.79/33.42 tff(21914,plain,
% 50.79/33.42 (~node9(s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[12703, 3443, 21913])).
% 50.79/33.42 tff(21915,plain,
% 50.79/33.42 (node10(s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[12714, 21914, 21912, 21908, 21906])).
% 50.79/33.42 tff(21916,plain,
% 50.79/33.42 (node62(c_p1, s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[12913, 21915, 21890, 21903, 21899, 21898, 21889])).
% 50.79/33.42 tff(21917,plain,
% 50.79/33.42 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[6599, 137, 21898])).
% 50.79/33.42 tff(21918,plain,
% 50.79/33.42 ($false),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[12628, 1633, 21917, 21916])).
% 50.79/33.42 tff(21919,plain,((~node48(c_p1, s4)) | node67(s8) | node67(s9) | node67(s6) | node67(s7) | m_processor_v_state(c_p1, s3, c_invalid) | node47(c_p1, s4) | m_processor_v_abort(c_p1, s4)), inference(lemma,lemma(discharge,[]))).
% 50.79/33.42 tff(21920,plain,
% 50.79/33.42 (~node48(c_p1, s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21919, 19853, 5949, 52, 6553, 2621, 5932, 1425])).
% 50.79/33.42 tff(21921,plain,
% 50.79/33.42 (~m_memory_v_busy(c_m, s2)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[9933, 9908, 20735])).
% 50.79/33.42 tff(21922,plain,
% 50.79/33.42 (~node33(c_p0, s3, s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[11950, 830, 2642, 1752])).
% 50.79/33.42 tff(21923,plain,
% 50.79/33.42 (m_processor_v_CMD(c_p0, s3, c_read_h_owned)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[9792, 21922, 6880, 6889, 9832])).
% 50.79/33.42 tff(21924,plain,
% 50.79/33.42 (~node59(c_p0, s3)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21427, 707, 21923])).
% 50.79/33.42 tff(21925,plain,
% 50.79/33.42 (~m_processor_v_master(c_p1, s3)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[9444, 794, 9825])).
% 50.79/33.42 tff(21926,plain,
% 50.79/33.42 (m_processor_v_master(c_p1, s3) | m_processor_v_reply_h_waiting(c_p1, s3)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21458, 2296, 12046])).
% 50.79/33.42 tff(21927,plain,
% 50.79/33.42 (m_processor_v_reply_h_waiting(c_p1, s3)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21926, 21925])).
% 50.79/33.42 tff(21928,plain,
% 50.79/33.42 (~node6(s3)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21451, 21927])).
% 50.79/33.42 tff(21929,plain,
% 50.79/33.42 (m_main_v_REPLY_h_WAITING(s3)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[20135, 21928])).
% 50.79/33.42 tff(21930,plain,
% 50.79/33.42 (m_processor_v_REPLY_h_WAITING(c_p0, s3)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21443, 21929])).
% 50.79/33.42 tff(21931,plain,
% 50.79/33.42 (~node60(c_p0, s3)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21437, 724, 21930, 21924])).
% 50.79/33.42 tff(21932,plain,
% 50.79/33.42 (m_processor_v_abort(c_p0, s3)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[10486, 21931])).
% 50.79/33.42 tff(21933,plain,
% 50.79/33.42 (node32(c_p0, s3, s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[9403, 21932])).
% 50.79/33.42 tff(21934,plain,
% 50.79/33.42 (~m_processor_v_state(c_p0, s3, c_shared)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[9799, 21933, 6889])).
% 50.79/33.42 tff(21935,plain,
% 50.79/33.42 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[9389, 21933, 6880])).
% 50.79/33.42 tff(21936,plain,
% 50.79/33.42 ($false),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[9415, 21935, 21934, 2642])).
% 50.79/33.42 tff(21937,plain,(m_processor_v_state(c_p0, s3, c_owned) | (~m_processor_v_waiting(c_p1, s3)) | (~m_processor_v_state(c_p0, s4, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.79/33.42 tff(21938,plain,
% 50.79/33.42 (m_processor_v_state(c_p0, s3, c_owned)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21937, 21879, 21381])).
% 50.79/33.42 tff(21939,plain,
% 50.79/33.42 (m_processor_v_state(c_p0, s2, c_owned)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[2775, 21938, 2622])).
% 50.79/33.42 tff(21940,plain,
% 50.79/33.42 (m_processor_v_reply_h_owned(c_p0, s2)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[10174, 21939])).
% 50.79/33.42 tff(21941,plain,
% 50.79/33.42 (~node5(s2)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[10188, 10185, 21940])).
% 50.79/33.42 tff(21942,plain,
% 50.79/33.42 (m_main_v_REPLY_h_OWNED(s2)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[10199, 10196, 21941])).
% 50.79/33.42 tff(21943,plain,
% 50.79/33.42 (m_memory_v_REPLY_h_OWNED(c_m, s2)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[10560, 21942])).
% 50.79/33.42 tff(21944,plain,
% 50.79/33.42 (~m_memory_v_busy(c_m, s3)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[10452, 21943, 21921])).
% 50.79/33.42 tff(21945,plain,
% 50.79/33.42 (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[17154, 21876])).
% 50.79/33.42 tff(21946,plain,
% 50.79/33.42 (m_processor_v_snoop(c_p0, s3, c_invalid)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21205, 21945])).
% 50.79/33.42 tff(21947,plain,
% 50.79/33.42 (~node56(c_p1, s3)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[2616, 540, 21879])).
% 50.79/33.42 tff(21948,plain,
% 50.79/33.42 (~m_processor_v_writable(c_p1, s3)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[2612, 21947])).
% 50.79/33.42 tff(21949,plain,
% 50.79/33.42 (~node67(s3)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[2604, 21948])).
% 50.79/33.42 tff(21950,plain,
% 50.79/33.42 (m_processor_v_state(c_p0, s4, c_owned)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21376, 21949, 20049, 5, 5932, 5949, 1620])).
% 50.79/33.42 tff(21951,plain,
% 50.79/33.42 (m_processor_v_CMD(c_p0, s2, c_read_h_owned)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[5645, 5373])).
% 50.79/33.42 tff(21952,plain,
% 50.79/33.42 (~node47(c_p0, s2)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[5628, 21945])).
% 50.79/33.42 tff(21953,plain,
% 50.79/33.42 (~m_processor_v_master(c_p0, s2)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[5636, 21952, 5501, 21951, 5500])).
% 50.79/33.42 tff(21954,plain,
% 50.79/33.42 (~node42(c_p0, s2)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[11284, 8170, 21953])).
% 50.79/33.42 tff(21955,plain,
% 50.79/33.42 (~node40(c_p0, s2)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21166, 21945])).
% 50.79/33.42 tff(21956,plain,
% 50.79/33.42 (~node41(c_p0, s2)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21159, 21945])).
% 50.79/33.42 tff(21957,plain,
% 50.79/33.42 (~node43(c_p0, s2)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[11264, 8159, 21953])).
% 50.79/33.42 tff(21958,plain,
% 50.79/33.42 (node44(c_p0, s2, s3)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[11278, 21957, 21956, 5500, 21955, 21954])).
% 50.79/33.42 tff(21959,plain,
% 50.79/33.42 (~m_processor_v_snoop(c_p0, s3, c_shared)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[11359, 21958])).
% 50.79/33.42 tff(21960,plain,
% 50.79/33.42 (~node18(c_m, s3, s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[20093, 7332, 9847])).
% 50.79/33.42 tff(21961,plain,
% 50.79/33.42 (~m_memory_v_abort(c_m, s3)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[9878, 21960])).
% 50.79/33.42 tff(21962,plain,
% 50.79/33.42 (node26(c_m, s3)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[19756, 21961])).
% 50.79/33.42 tff(21963,plain,
% 50.79/33.42 (((~![I0: $i, X: $i] : ((~m_memory_v_REPLY_h_STALL(I0, X)) | (~node26(I0, X)))) | ((~m_memory_v_REPLY_h_STALL(c_m, s3)) | (~node26(c_m, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_REPLY_h_STALL(I0, X)) | (~node26(I0, X)))) | (~m_memory_v_REPLY_h_STALL(c_m, s3)) | (~node26(c_m, s3)))),
% 50.79/33.42 inference(rewrite,[status(thm)],[])).
% 50.79/33.42 tff(21964,plain,
% 50.79/33.42 ((~![I0: $i, X: $i] : ((~m_memory_v_REPLY_h_STALL(I0, X)) | (~node26(I0, X)))) | ((~m_memory_v_REPLY_h_STALL(c_m, s3)) | (~node26(c_m, s3)))),
% 50.79/33.42 inference(quant_inst,[status(thm)],[])).
% 50.79/33.42 tff(21965,plain,
% 50.79/33.42 ((~![I0: $i, X: $i] : ((~m_memory_v_REPLY_h_STALL(I0, X)) | (~node26(I0, X)))) | (~m_memory_v_REPLY_h_STALL(c_m, s3)) | (~node26(c_m, s3))),
% 50.79/33.42 inference(modus_ponens,[status(thm)],[21964, 21963])).
% 50.79/33.42 tff(21966,plain,
% 50.79/33.42 ($false),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21965, 7824, 19744, 12176])).
% 50.79/33.42 tff(21967,plain,((~m_memory_v_REPLY_h_STALL(c_m, s3)) | (~node26(c_m, s3))), inference(lemma,lemma(discharge,[]))).
% 50.79/33.42 tff(21968,plain,
% 50.79/33.42 (~m_memory_v_REPLY_h_STALL(c_m, s3)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21967, 21962])).
% 50.79/33.42 tff(21969,plain,
% 50.79/33.42 (((~![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))) | (m_memory_v_busy(c_m, s3) | (~m_memory_v_busy(c_m, s4)) | (~node22(c_m, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))) | m_memory_v_busy(c_m, s3) | (~m_memory_v_busy(c_m, s4)) | (~node22(c_m, s3, s4)))),
% 50.79/33.42 inference(rewrite,[status(thm)],[])).
% 50.79/33.42 tff(21970,plain,
% 50.79/33.42 ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))) | (m_memory_v_busy(c_m, s3) | (~m_memory_v_busy(c_m, s4)) | (~node22(c_m, s3, s4)))),
% 50.79/33.42 inference(quant_inst,[status(thm)],[])).
% 50.79/33.42 tff(21971,plain,
% 50.79/33.42 ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))) | m_memory_v_busy(c_m, s3) | (~m_memory_v_busy(c_m, s4)) | (~node22(c_m, s3, s4))),
% 50.79/33.42 inference(modus_ponens,[status(thm)],[21970, 21969])).
% 50.79/33.42 tff(21972,plain,
% 50.79/33.42 ($false),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21971, 10374, 7332, 9847, 9880])).
% 50.79/33.42 tff(21973,plain,((~node22(c_m, s3, s4)) | (~m_memory_v_busy(c_m, s4)) | m_memory_v_busy(c_m, s3)), inference(lemma,lemma(discharge,[]))).
% 50.79/33.42 tff(21974,plain,
% 50.79/33.42 (~node22(c_m, s3, s4)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21973, 7332, 9847])).
% 50.79/33.42 tff(21975,plain,
% 50.79/33.42 (node19(c_m, s3)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[9996, 21974, 9966, 11990])).
% 50.79/33.42 tff(21976,plain,
% 50.79/33.42 (m_memory_v_master(c_m, s3)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[10010, 4477, 21975])).
% 50.79/33.42 tff(21977,plain,
% 50.79/33.42 (m_memory_v_CMD(c_m, s3, c_response)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[10078, 10075, 21975])).
% 50.79/33.42 tff(21978,plain,
% 50.79/33.42 ($false),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[12261, 21977, 21976, 9966, 7332])).
% 50.79/33.42 tff(21979,plain,((~m_memory_v_busy(c_m, s4)) | m_memory_v_abort(c_m, s3) | node21(c_m, s3) | m_memory_v_busy(c_m, s3)), inference(lemma,lemma(discharge,[]))).
% 50.79/33.42 tff(21980,plain,
% 50.79/33.42 (node21(c_m, s3)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21979, 21961, 9847, 7332])).
% 50.79/33.42 tff(21981,assumption,(node24(c_m, s3)), introduced(assumption)).
% 50.79/33.42 tff(21982,assumption,(m_memory_v_CMD(c_m, s3, c_read_h_owned)), introduced(assumption)).
% 50.79/33.42 tff(21983,plain,
% 50.79/33.42 (^[I0: $i, X: $i] : refl(((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node24(I0, X))) <=> ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node24(I0, X))))),
% 50.79/33.42 inference(bind,[status(th)],[])).
% 50.79/33.42 tff(21984,plain,
% 50.79/33.42 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node24(I0, X))) <=> ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node24(I0, X)))),
% 50.79/33.42 inference(quant_intro,[status(thm)],[21983])).
% 50.79/33.42 tff(21985,plain,
% 50.79/33.42 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node24(I0, X))) <=> ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node24(I0, X)))),
% 50.79/33.42 inference(rewrite,[status(thm)],[])).
% 50.79/33.42 tff(21986,axiom,(![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node24(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_57')).
% 50.79/33.42 tff(21987,plain,
% 50.79/33.42 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node24(I0, X)))),
% 50.79/33.42 inference(modus_ponens,[status(thm)],[21986, 21985])).
% 50.79/33.42 tff(21988,plain,(
% 50.79/33.42 ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node24(I0, X)))),
% 50.79/33.42 inference(skolemize,[status(sab)],[21987])).
% 50.79/33.42 tff(21989,plain,
% 50.79/33.42 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node24(I0, X)))),
% 50.79/33.42 inference(modus_ponens,[status(thm)],[21988, 21984])).
% 50.79/33.42 tff(21990,plain,
% 50.79/33.42 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node24(I0, X)))) | ((~m_memory_v_CMD(c_m, s3, c_read_h_owned)) | (~node24(c_m, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node24(I0, X)))) | (~m_memory_v_CMD(c_m, s3, c_read_h_owned)) | (~node24(c_m, s3)))),
% 50.79/33.42 inference(rewrite,[status(thm)],[])).
% 50.79/33.42 tff(21991,plain,
% 50.79/33.42 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node24(I0, X)))) | ((~m_memory_v_CMD(c_m, s3, c_read_h_owned)) | (~node24(c_m, s3)))),
% 50.79/33.42 inference(quant_inst,[status(thm)],[])).
% 50.79/33.42 tff(21992,plain,
% 50.79/33.42 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node24(I0, X)))) | (~m_memory_v_CMD(c_m, s3, c_read_h_owned)) | (~node24(c_m, s3))),
% 50.79/33.42 inference(modus_ponens,[status(thm)],[21991, 21990])).
% 50.79/33.42 tff(21993,plain,
% 50.79/33.42 ($false),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21992, 21989, 21982, 21981])).
% 50.79/33.42 tff(21994,plain,((~m_memory_v_CMD(c_m, s3, c_read_h_owned)) | (~node24(c_m, s3))), inference(lemma,lemma(discharge,[]))).
% 50.79/33.42 tff(21995,plain,
% 50.79/33.42 (~m_memory_v_CMD(c_m, s3, c_read_h_owned)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[21994, 21981])).
% 50.79/33.42 tff(21996,plain,
% 50.79/33.42 (m_memory_v_CMD(c_m, s3, c_read_h_shared)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[11974, 21995])).
% 50.79/33.42 tff(21997,plain,
% 50.79/33.42 (^[I0: $i, X: $i] : refl(((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node24(I0, X))) <=> ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node24(I0, X))))),
% 50.79/33.42 inference(bind,[status(th)],[])).
% 50.79/33.42 tff(21998,plain,
% 50.79/33.42 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node24(I0, X))) <=> ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node24(I0, X)))),
% 50.79/33.42 inference(quant_intro,[status(thm)],[21997])).
% 50.79/33.42 tff(21999,plain,
% 50.79/33.42 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node24(I0, X))) <=> ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node24(I0, X)))),
% 50.79/33.42 inference(rewrite,[status(thm)],[])).
% 50.79/33.42 tff(22000,axiom,(![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node24(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_56')).
% 50.79/33.42 tff(22001,plain,
% 50.79/33.42 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node24(I0, X)))),
% 50.79/33.42 inference(modus_ponens,[status(thm)],[22000, 21999])).
% 50.79/33.42 tff(22002,plain,(
% 50.79/33.42 ![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node24(I0, X)))),
% 50.79/33.42 inference(skolemize,[status(sab)],[22001])).
% 50.79/33.42 tff(22003,plain,
% 50.79/33.42 (![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node24(I0, X)))),
% 50.79/33.42 inference(modus_ponens,[status(thm)],[22002, 21998])).
% 50.79/33.42 tff(22004,plain,
% 50.79/33.42 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node24(I0, X)))) | ((~m_memory_v_CMD(c_m, s3, c_read_h_shared)) | (~node24(c_m, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node24(I0, X)))) | (~m_memory_v_CMD(c_m, s3, c_read_h_shared)) | (~node24(c_m, s3)))),
% 50.79/33.42 inference(rewrite,[status(thm)],[])).
% 50.79/33.42 tff(22005,plain,
% 50.79/33.42 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node24(I0, X)))) | ((~m_memory_v_CMD(c_m, s3, c_read_h_shared)) | (~node24(c_m, s3)))),
% 50.79/33.42 inference(quant_inst,[status(thm)],[])).
% 50.79/33.42 tff(22006,plain,
% 50.79/33.42 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node24(I0, X)))) | (~m_memory_v_CMD(c_m, s3, c_read_h_shared)) | (~node24(c_m, s3))),
% 50.79/33.42 inference(modus_ponens,[status(thm)],[22005, 22004])).
% 50.79/33.42 tff(22007,plain,
% 50.79/33.42 ($false),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[22006, 22003, 21996, 21981])).
% 50.79/33.42 tff(22008,plain,((~node24(c_m, s3)) | (~node21(c_m, s3))), inference(lemma,lemma(discharge,[]))).
% 50.79/33.42 tff(22009,plain,
% 50.79/33.42 (~node24(c_m, s3)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[22008, 21980])).
% 50.79/33.42 tff(22010,assumption,(~node24(c_m, s3)), introduced(assumption)).
% 50.79/33.42 tff(22011,plain,
% 50.79/33.42 (^[X: $i] : refl(((~m_main_v_REPLY_h_WAITING(X)) | m_memory_v_REPLY_h_WAITING(c_m, X)) <=> ((~m_main_v_REPLY_h_WAITING(X)) | m_memory_v_REPLY_h_WAITING(c_m, X)))),
% 50.79/33.42 inference(bind,[status(th)],[])).
% 50.79/33.42 tff(22012,plain,
% 50.79/33.42 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_memory_v_REPLY_h_WAITING(c_m, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_memory_v_REPLY_h_WAITING(c_m, X))),
% 50.79/33.42 inference(quant_intro,[status(thm)],[22011])).
% 50.79/33.42 tff(22013,plain,
% 50.79/33.42 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_memory_v_REPLY_h_WAITING(c_m, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_memory_v_REPLY_h_WAITING(c_m, X))),
% 50.79/33.42 inference(rewrite,[status(thm)],[])).
% 50.79/33.42 tff(22014,plain,
% 50.79/33.42 (^[X: $i] : rewrite((m_memory_v_REPLY_h_WAITING(c_m, X) | (~m_main_v_REPLY_h_WAITING(X))) <=> ((~m_main_v_REPLY_h_WAITING(X)) | m_memory_v_REPLY_h_WAITING(c_m, X)))),
% 50.79/33.42 inference(bind,[status(th)],[])).
% 50.79/33.42 tff(22015,plain,
% 50.79/33.42 (![X: $i] : (m_memory_v_REPLY_h_WAITING(c_m, X) | (~m_main_v_REPLY_h_WAITING(X))) <=> ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_memory_v_REPLY_h_WAITING(c_m, X))),
% 50.79/33.42 inference(quant_intro,[status(thm)],[22014])).
% 50.79/33.42 tff(22016,axiom,(![X: $i] : (m_memory_v_REPLY_h_WAITING(c_m, X) | (~m_main_v_REPLY_h_WAITING(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_43')).
% 50.79/33.42 tff(22017,plain,
% 50.79/33.42 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_memory_v_REPLY_h_WAITING(c_m, X))),
% 50.79/33.42 inference(modus_ponens,[status(thm)],[22016, 22015])).
% 50.79/33.42 tff(22018,plain,
% 50.79/33.42 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_memory_v_REPLY_h_WAITING(c_m, X))),
% 50.79/33.42 inference(modus_ponens,[status(thm)],[22017, 22013])).
% 50.79/33.42 tff(22019,plain,(
% 50.79/33.42 ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_memory_v_REPLY_h_WAITING(c_m, X))),
% 50.79/33.42 inference(skolemize,[status(sab)],[22018])).
% 50.79/33.42 tff(22020,plain,
% 50.79/33.42 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_memory_v_REPLY_h_WAITING(c_m, X))),
% 50.79/33.42 inference(modus_ponens,[status(thm)],[22019, 22012])).
% 50.79/33.42 tff(22021,plain,
% 50.79/33.42 (((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_memory_v_REPLY_h_WAITING(c_m, X))) | ((~m_main_v_REPLY_h_WAITING(s3)) | m_memory_v_REPLY_h_WAITING(c_m, s3))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_memory_v_REPLY_h_WAITING(c_m, X))) | (~m_main_v_REPLY_h_WAITING(s3)) | m_memory_v_REPLY_h_WAITING(c_m, s3))),
% 50.79/33.42 inference(rewrite,[status(thm)],[])).
% 50.79/33.42 tff(22022,plain,
% 50.79/33.42 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_memory_v_REPLY_h_WAITING(c_m, X))) | ((~m_main_v_REPLY_h_WAITING(s3)) | m_memory_v_REPLY_h_WAITING(c_m, s3))),
% 50.79/33.42 inference(quant_inst,[status(thm)],[])).
% 50.79/33.42 tff(22023,plain,
% 50.79/33.42 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_memory_v_REPLY_h_WAITING(c_m, X))) | (~m_main_v_REPLY_h_WAITING(s3)) | m_memory_v_REPLY_h_WAITING(c_m, s3)),
% 50.79/33.42 inference(modus_ponens,[status(thm)],[22022, 22021])).
% 50.79/33.42 tff(22024,plain,
% 50.79/33.42 (m_memory_v_REPLY_h_WAITING(c_m, s3)),
% 50.79/33.42 inference(unit_resolution,[status(thm)],[22023, 22020, 11846])).
% 50.79/33.42 tff(22025,plain,
% 50.79/33.42 (^[I0: $i, X: $i] : refl((node24(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_WAITING(I0, X))) <=> (node24(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_WAITING(I0, X))))),
% 50.79/33.42 inference(bind,[status(th)],[])).
% 50.79/33.42 tff(22026,plain,
% 50.79/33.42 (![I0: $i, X: $i] : (node24(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_WAITING(I0, X))) <=> ![I0: $i, X: $i] : (node24(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_WAITING(I0, X)))),
% 50.79/33.42 inference(quant_intro,[status(thm)],[22025])).
% 50.79/33.42 tff(22027,plain,
% 50.79/33.42 (![I0: $i, X: $i] : (node24(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_WAITING(I0, X))) <=> ![I0: $i, X: $i] : (node24(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_WAITING(I0, X)))),
% 50.79/33.42 inference(rewrite,[status(thm)],[])).
% 50.79/33.42 tff(22028,plain,
% 50.79/33.42 (^[I0: $i, X: $i] : trans(monotonicity(rewrite((node24(I0, X) | (~m_memory_v_REPLY_h_WAITING(I0, X))) <=> (node24(I0, X) | (~m_memory_v_REPLY_h_WAITING(I0, X)))), (((node24(I0, X) | (~m_memory_v_REPLY_h_WAITING(I0, X))) | (~node26(I0, X))) <=> ((node24(I0, X) | (~m_memory_v_REPLY_h_WAITING(I0, X))) | (~node26(I0, X))))), rewrite(((node24(I0, X) | (~m_memory_v_REPLY_h_WAITING(I0, X))) | (~node26(I0, X))) <=> (node24(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_WAITING(I0, X)))), (((node24(I0, X) | (~m_memory_v_REPLY_h_WAITING(I0, X))) | (~node26(I0, X))) <=> (node24(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_WAITING(I0, X)))))),
% 50.79/33.42 inference(bind,[status(th)],[])).
% 50.79/33.42 tff(22029,plain,
% 50.79/33.42 (![I0: $i, X: $i] : ((node24(I0, X) | (~m_memory_v_REPLY_h_WAITING(I0, X))) | (~node26(I0, X))) <=> ![I0: $i, X: $i] : (node24(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_WAITING(I0, X)))),
% 50.79/33.42 inference(quant_intro,[status(thm)],[22028])).
% 50.79/33.42 tff(22030,axiom,(![I0: $i, X: $i] : ((node24(I0, X) | (~m_memory_v_REPLY_h_WAITING(I0, X))) | (~node26(I0, X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_memory_61')).
% 50.79/33.43 tff(22031,plain,
% 50.79/33.43 (![I0: $i, X: $i] : (node24(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_WAITING(I0, X)))),
% 50.79/33.43 inference(modus_ponens,[status(thm)],[22030, 22029])).
% 50.79/33.43 tff(22032,plain,
% 50.79/33.43 (![I0: $i, X: $i] : (node24(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_WAITING(I0, X)))),
% 50.79/33.43 inference(modus_ponens,[status(thm)],[22031, 22027])).
% 50.79/33.43 tff(22033,plain,(
% 50.79/33.43 ![I0: $i, X: $i] : (node24(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_WAITING(I0, X)))),
% 50.79/33.43 inference(skolemize,[status(sab)],[22032])).
% 50.79/33.43 tff(22034,plain,
% 50.79/33.43 (![I0: $i, X: $i] : (node24(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_WAITING(I0, X)))),
% 50.79/33.43 inference(modus_ponens,[status(thm)],[22033, 22026])).
% 50.79/33.43 tff(22035,plain,
% 50.79/33.43 (((~![I0: $i, X: $i] : (node24(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_WAITING(I0, X)))) | ((~m_memory_v_REPLY_h_WAITING(c_m, s3)) | (~node26(c_m, s3)) | node24(c_m, s3))) <=> ((~![I0: $i, X: $i] : (node24(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_WAITING(I0, X)))) | (~m_memory_v_REPLY_h_WAITING(c_m, s3)) | (~node26(c_m, s3)) | node24(c_m, s3))),
% 50.79/33.43 inference(rewrite,[status(thm)],[])).
% 50.79/33.43 tff(22036,plain,
% 50.79/33.43 ((node24(c_m, s3) | (~node26(c_m, s3)) | (~m_memory_v_REPLY_h_WAITING(c_m, s3))) <=> ((~m_memory_v_REPLY_h_WAITING(c_m, s3)) | (~node26(c_m, s3)) | node24(c_m, s3))),
% 50.79/33.43 inference(rewrite,[status(thm)],[])).
% 50.79/33.43 tff(22037,plain,
% 50.79/33.43 (((~![I0: $i, X: $i] : (node24(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_WAITING(I0, X)))) | (node24(c_m, s3) | (~node26(c_m, s3)) | (~m_memory_v_REPLY_h_WAITING(c_m, s3)))) <=> ((~![I0: $i, X: $i] : (node24(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_WAITING(I0, X)))) | ((~m_memory_v_REPLY_h_WAITING(c_m, s3)) | (~node26(c_m, s3)) | node24(c_m, s3)))),
% 50.79/33.43 inference(monotonicity,[status(thm)],[22036])).
% 50.79/33.43 tff(22038,plain,
% 50.79/33.43 (((~![I0: $i, X: $i] : (node24(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_WAITING(I0, X)))) | (node24(c_m, s3) | (~node26(c_m, s3)) | (~m_memory_v_REPLY_h_WAITING(c_m, s3)))) <=> ((~![I0: $i, X: $i] : (node24(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_WAITING(I0, X)))) | (~m_memory_v_REPLY_h_WAITING(c_m, s3)) | (~node26(c_m, s3)) | node24(c_m, s3))),
% 50.79/33.43 inference(transitivity,[status(thm)],[22037, 22035])).
% 50.79/33.43 tff(22039,plain,
% 50.79/33.43 ((~![I0: $i, X: $i] : (node24(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_WAITING(I0, X)))) | (node24(c_m, s3) | (~node26(c_m, s3)) | (~m_memory_v_REPLY_h_WAITING(c_m, s3)))),
% 50.79/33.43 inference(quant_inst,[status(thm)],[])).
% 50.79/33.43 tff(22040,plain,
% 50.79/33.43 ((~![I0: $i, X: $i] : (node24(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_WAITING(I0, X)))) | (~m_memory_v_REPLY_h_WAITING(c_m, s3)) | (~node26(c_m, s3)) | node24(c_m, s3)),
% 50.79/33.43 inference(modus_ponens,[status(thm)],[22039, 22038])).
% 50.79/33.43 tff(22041,plain,
% 50.79/33.43 ($false),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[22040, 22034, 19744, 22024, 22010])).
% 50.79/33.43 tff(22042,plain,(node24(c_m, s3) | (~node26(c_m, s3)) | (~m_main_v_REPLY_h_WAITING(s3))), inference(lemma,lemma(discharge,[]))).
% 50.79/33.43 tff(22043,plain,
% 50.79/33.43 (~m_main_v_REPLY_h_WAITING(s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[22042, 22009, 21962])).
% 50.79/33.43 tff(22044,plain,
% 50.79/33.43 (node6(s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[20135, 22043])).
% 50.79/33.43 tff(22045,plain,
% 50.79/33.43 (~m_processor_v_reply_h_waiting(c_p1, s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[21451, 22044])).
% 50.79/33.43 tff(22046,plain,
% 50.79/33.43 (m_processor_v_master(c_p1, s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[21926, 22045])).
% 50.79/33.43 tff(22047,plain,
% 50.79/33.43 (~m_processor_v_master(c_p0, s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[9444, 794, 22046])).
% 50.79/33.43 tff(22048,plain,
% 50.79/33.43 (m_processor_v_state(c_p0, s3, c_owned)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[9728, 22047, 1752])).
% 50.79/33.43 tff(22049,plain,
% 50.79/33.43 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_memory_v_REPLY_h_STALL(c_m, X))) | ((~m_main_v_REPLY_h_STALL(s3)) | m_memory_v_REPLY_h_STALL(c_m, s3))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_memory_v_REPLY_h_STALL(c_m, X))) | (~m_main_v_REPLY_h_STALL(s3)) | m_memory_v_REPLY_h_STALL(c_m, s3))),
% 50.79/33.43 inference(rewrite,[status(thm)],[])).
% 50.79/33.43 tff(22050,plain,
% 50.79/33.43 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_memory_v_REPLY_h_STALL(c_m, X))) | ((~m_main_v_REPLY_h_STALL(s3)) | m_memory_v_REPLY_h_STALL(c_m, s3))),
% 50.79/33.43 inference(quant_inst,[status(thm)],[])).
% 50.79/33.43 tff(22051,plain,
% 50.79/33.43 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_memory_v_REPLY_h_STALL(c_m, X))) | (~m_main_v_REPLY_h_STALL(s3)) | m_memory_v_REPLY_h_STALL(c_m, s3)),
% 50.79/33.43 inference(modus_ponens,[status(thm)],[22050, 22049])).
% 50.79/33.43 tff(22052,plain,
% 50.79/33.43 ($false),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[22051, 7840, 10497, 12249])).
% 50.79/33.43 tff(22053,plain,(m_memory_v_REPLY_h_STALL(c_m, s3) | (~m_main_v_REPLY_h_STALL(s3))), inference(lemma,lemma(discharge,[]))).
% 50.79/33.43 tff(22054,plain,
% 50.79/33.43 (~m_main_v_REPLY_h_STALL(s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[22053, 21968])).
% 50.79/33.43 tff(22055,plain,
% 50.79/33.43 (~m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[11826, 22054])).
% 50.79/33.43 tff(22056,plain,
% 50.79/33.43 (~m_processor_v_REPLY_h_WAITING(c_p0, s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[11859, 22043])).
% 50.79/33.43 tff(22057,plain,
% 50.79/33.43 (~node61(c_p0, s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[11867, 22056])).
% 50.79/33.43 tff(22058,plain,
% 50.79/33.43 (~m_processor_v_abort(c_p0, s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[11875, 22057, 22055])).
% 50.79/33.43 tff(22059,plain,
% 50.79/33.43 (node40(c_p0, s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[19821, 9678, 9405, 2652, 19783])).
% 50.79/33.43 tff(22060,plain,
% 50.79/33.43 (m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[19773, 8367, 22059])).
% 50.79/33.43 tff(22061,plain,
% 50.79/33.43 (m_main_v_CMD(s3, c_read_h_shared)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[11528, 22060])).
% 50.79/33.43 tff(22062,plain,
% 50.79/33.43 (~m_main_v_CMD(s3, c_write_h_invalid)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[11385, 8958, 22061])).
% 50.79/33.43 tff(22063,plain,
% 50.79/33.43 (((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s3)) | (~m_main_v_CMD(s3, c_read_h_shared)) | m_memory_v_CMD(c_m, s3, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s3)) | (~m_main_v_CMD(s3, c_read_h_shared)) | m_memory_v_CMD(c_m, s3, c_read_h_shared))),
% 50.79/33.43 inference(rewrite,[status(thm)],[])).
% 50.79/33.43 tff(22064,plain,
% 50.79/33.43 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s3)) | (~m_main_v_CMD(s3, c_read_h_shared)) | m_memory_v_CMD(c_m, s3, c_read_h_shared))),
% 50.79/33.43 inference(quant_inst,[status(thm)],[])).
% 50.79/33.43 tff(22065,plain,
% 50.79/33.43 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s3)) | (~m_main_v_CMD(s3, c_read_h_shared)) | m_memory_v_CMD(c_m, s3, c_read_h_shared)),
% 50.79/33.43 inference(modus_ponens,[status(thm)],[22064, 22063])).
% 50.79/33.43 tff(22066,plain,
% 50.79/33.43 (m_memory_v_CMD(c_m, s3, c_read_h_shared)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[22065, 4207, 22061, 10083])).
% 50.79/33.43 tff(22067,plain,
% 50.79/33.43 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s3, c_read_h_shared)) | (~node30(c_m, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X)))) | (~m_memory_v_CMD(c_m, s3, c_read_h_shared)) | (~node30(c_m, s3)))),
% 50.79/33.43 inference(rewrite,[status(thm)],[])).
% 50.79/33.43 tff(22068,plain,
% 50.79/33.43 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s3, c_read_h_shared)) | (~node30(c_m, s3)))),
% 50.79/33.43 inference(quant_inst,[status(thm)],[])).
% 50.79/33.43 tff(22069,plain,
% 50.79/33.43 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node30(I0, X)))) | (~m_memory_v_CMD(c_m, s3, c_read_h_shared)) | (~node30(c_m, s3))),
% 50.79/33.43 inference(modus_ponens,[status(thm)],[22068, 22067])).
% 50.79/33.43 tff(22070,plain,
% 50.79/33.43 (~node30(c_m, s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[22069, 4972, 22066])).
% 50.79/33.43 tff(22071,plain,
% 50.79/33.43 (node60(c_p0, s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[10486, 9678])).
% 50.79/33.43 tff(22072,plain,
% 50.79/33.43 (~m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[10494, 22071])).
% 50.79/33.43 tff(22073,plain,
% 50.79/33.43 (~m_main_v_REPLY_h_STALL(s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[10502, 22072])).
% 50.79/33.43 tff(22074,plain,
% 50.79/33.43 (node7(s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[10510, 22073])).
% 50.79/33.43 tff(22075,plain,
% 50.79/33.43 (~m_memory_v_reply_h_stall(c_m, s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[10518, 22074])).
% 50.79/33.43 tff(22076,plain,
% 50.79/33.43 (~m_memory_v_busy(c_m, s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[10524, 4819, 22075, 22070])).
% 50.79/33.43 tff(22077,plain,
% 50.79/33.43 (~node29(c_m, s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[9855, 22076])).
% 50.79/33.43 tff(22078,plain,
% 50.79/33.43 (m_memory_v_cmd(c_m, s3, c_idle)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[9510, 22077])).
% 50.79/33.43 tff(22079,plain,
% 50.79/33.43 (~m_processor_v_cmd(c_p1, s3, c_idle)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[11518, 22078, 2652, 22061])).
% 50.79/33.43 tff(22080,plain,
% 50.79/33.43 (m_processor_v_cmd(c_p1, s3, c_write_h_invalid)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[12429, 22079, 2595, 11796, 10644])).
% 50.79/33.43 tff(22081,plain,
% 50.79/33.43 (~m_main_v_CMD(s3, c_idle)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[11373, 8277, 22061])).
% 50.79/33.43 tff(22082,plain,
% 50.79/33.43 (~node17(s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[10111, 9557])).
% 50.79/33.43 tff(22083,plain,
% 50.79/33.43 (~m_memory_v_master(c_m, s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[9494, 22082])).
% 50.79/33.43 tff(22084,plain,
% 50.79/33.43 (~node29(c_m, s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[9502, 22083])).
% 50.79/33.43 tff(22085,plain,
% 50.79/33.43 (m_memory_v_cmd(c_m, s3, c_idle)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[9510, 22084])).
% 50.79/33.43 tff(22086,plain,
% 50.79/33.43 (node16(s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[9562, 9557])).
% 50.79/33.43 tff(22087,plain,
% 50.79/33.43 (~m_processor_v_master(c_p0, s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[9554, 1530, 22086])).
% 50.79/33.43 tff(22088,plain,
% 50.79/33.43 (m_processor_v_cmd(c_p0, s3, c_idle)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[10144, 22087])).
% 50.79/33.43 tff(22089,plain,
% 50.79/33.43 (~m_processor_v_master(c_p1, s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[10569, 3386, 22086])).
% 50.79/33.43 tff(22090,plain,
% 50.79/33.43 (m_processor_v_cmd(c_p1, s3, c_idle)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[9478, 22089])).
% 50.79/33.43 tff(22091,plain,
% 50.79/33.43 ($false),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[11516, 22090, 22088, 11484, 22085])).
% 50.79/33.43 tff(22092,plain,((~m_processor_v_master(c_p2, s3)) | m_main_v_CMD(s3, c_idle)), inference(lemma,lemma(discharge,[]))).
% 50.79/33.43 tff(22093,plain,
% 50.79/33.43 (~m_processor_v_master(c_p2, s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[22092, 22081])).
% 50.79/33.43 tff(22094,plain,
% 50.79/33.43 (m_processor_v_cmd(c_p2, s3, c_idle)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[9594, 22093])).
% 50.79/33.43 tff(22095,plain,
% 50.79/33.43 (~node9(s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[10785, 22079])).
% 50.79/33.43 tff(22096,plain,
% 50.79/33.43 (node10(s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[10800, 22095, 22094, 22078, 11531])).
% 50.79/33.43 tff(22097,plain,
% 50.79/33.43 ($false),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[12441, 22096, 22080, 22062])).
% 50.79/33.43 tff(22098,plain,(m_processor_v_abort(c_p0, s3) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_master(c_p0, s3) | node44(c_p0, s3, s4)), inference(lemma,lemma(discharge,[]))).
% 50.79/33.43 tff(22099,plain,
% 50.79/33.43 (node44(c_p0, s3, s4)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[22098, 22047, 2595, 22048, 11796, 22058])).
% 50.79/33.43 tff(22100,plain,
% 50.79/33.43 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p0, s3, c_shared) | (~m_processor_v_snoop(c_p0, s4, c_shared)) | (~node44(c_p0, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p0, s3, c_shared) | (~m_processor_v_snoop(c_p0, s4, c_shared)) | (~node44(c_p0, s3, s4)))),
% 50.79/33.43 inference(rewrite,[status(thm)],[])).
% 50.79/33.43 tff(22101,plain,
% 50.79/33.43 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p0, s3, c_shared) | (~m_processor_v_snoop(c_p0, s4, c_shared)) | (~node44(c_p0, s3, s4)))),
% 50.79/33.43 inference(quant_inst,[status(thm)],[])).
% 50.79/33.43 tff(22102,plain,
% 50.79/33.43 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p0, s3, c_shared) | (~m_processor_v_snoop(c_p0, s4, c_shared)) | (~node44(c_p0, s3, s4))),
% 50.79/33.43 inference(modus_ponens,[status(thm)],[22101, 22100])).
% 50.79/33.43 tff(22103,plain,
% 50.79/33.43 (m_processor_v_snoop(c_p0, s3, c_shared) | (~m_processor_v_snoop(c_p0, s4, c_shared)) | (~node44(c_p0, s3, s4))),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[22102, 10976])).
% 50.79/33.43 tff(22104,plain,
% 50.79/33.43 (~m_processor_v_snoop(c_p0, s4, c_shared)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[22103, 22099, 11625])).
% 50.79/33.43 tff(22105,plain,
% 50.79/33.43 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[19807, 22104, 22058, 22047, 22048])).
% 50.79/33.43 tff(22106,plain,
% 50.79/33.43 (~m_main_v_CMD(s3, c_read_h_shared)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[9548, 22105])).
% 50.79/33.43 tff(22107,plain,
% 50.79/33.43 (~m_memory_v_abort(c_m, s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[12305, 9605, 12249, 12280])).
% 50.79/33.43 tff(22108,plain,
% 50.79/33.43 (~m_memory_v_CMD(c_m, s3, c_read_h_shared)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[11971, 9605])).
% 50.79/33.43 tff(22109,plain,
% 50.79/33.43 ((~node21(c_m, s3)) | m_memory_v_CMD(c_m, s3, c_read_h_shared)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[10003, 7430, 12280])).
% 50.79/33.43 tff(22110,plain,
% 50.79/33.43 (~node21(c_m, s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[22109, 22108])).
% 50.79/33.43 tff(22111,plain,
% 50.79/33.43 ($false),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[21979, 22110, 22107, 9847, 7332])).
% 50.79/33.43 tff(22112,plain,(m_main_v_CMD(s3, c_read_h_shared) | m_memory_v_busy(c_m, s3) | (~m_memory_v_busy(c_m, s4)) | m_memory_v_CMD(c_m, s3, c_read_h_owned) | m_memory_v_REPLY_h_STALL(c_m, s3)), inference(lemma,lemma(discharge,[]))).
% 50.79/33.43 tff(22113,plain,
% 50.79/33.43 (m_memory_v_CMD(c_m, s3, c_read_h_owned)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[22112, 22106, 9847, 7332, 21968])).
% 50.79/33.43 tff(22114,plain,
% 50.79/33.43 (m_processor_v_cmd(c_p1, s3, c_write_h_invalid)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[10757, 22046, 10644, 10640, 11796, 12045, 12040])).
% 50.79/33.43 tff(22115,plain,
% 50.79/33.43 (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[16680, 3716, 22114])).
% 50.79/33.43 tff(22116,plain,
% 50.79/33.43 (~m_main_v_CMD(s3, c_idle)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[11987, 21980])).
% 50.79/33.43 tff(22117,plain,
% 50.79/33.43 (~m_processor_v_master(c_p2, s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[22092, 22116])).
% 50.79/33.43 tff(22118,plain,
% 50.79/33.43 (m_processor_v_cmd(c_p2, s3, c_idle)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[9594, 22117])).
% 50.79/33.43 tff(22119,plain,
% 50.79/33.43 (~node29(c_m, s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[9855, 9847])).
% 50.79/33.43 tff(22120,plain,
% 50.79/33.43 (m_memory_v_cmd(c_m, s3, c_idle)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[9510, 22119])).
% 50.79/33.43 tff(22121,plain,
% 50.79/33.43 (m_processor_v_cmd(c_p0, s3, c_idle)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[10144, 22047])).
% 50.79/33.43 tff(22122,plain,
% 50.79/33.43 (~m_processor_v_cmd(c_p1, s3, c_idle)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[12098, 3630, 22114])).
% 50.79/33.43 tff(22123,plain,
% 50.79/33.43 (~node9(s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[10785, 22122])).
% 50.79/33.43 tff(22124,plain,
% 50.79/33.43 (node10(s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[10800, 22123, 22121, 22120, 22118])).
% 50.79/33.43 tff(22125,plain,
% 50.79/33.43 (~m_main_v_CMD(s3, c_read_h_owned)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[10695, 3512, 22124, 22115])).
% 50.79/33.43 tff(22126,plain,
% 50.79/33.43 ($false),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[11985, 4693, 22125, 10083, 22113])).
% 50.79/33.43 tff(22127,plain,((~m_memory_v_busy(c_m, s4)) | m_memory_v_busy(c_m, s3) | m_processor_v_snoop(c_p0, s3, c_shared) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_waiting(c_p1, s3))), inference(lemma,lemma(discharge,[]))).
% 50.79/33.43 tff(22128,plain,
% 50.79/33.43 (~m_memory_v_busy(c_m, s4)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[22127, 21959, 9847, 2595, 21875, 21950, 21879])).
% 50.79/33.43 tff(22129,plain,
% 50.79/33.43 (~node29(c_m, s4)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[2077, 22128])).
% 50.79/33.43 tff(22130,plain,
% 50.79/33.43 (m_memory_v_cmd(c_m, s4, c_idle)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[1325, 22129])).
% 50.79/33.43 tff(22131,plain,
% 50.79/33.43 (~m_processor_v_snoop(c_p0, s4, c_invalid)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[21124, 22130, 1620, 21950, 19853, 19852, 1425, 19851])).
% 50.79/33.43 tff(22132,plain,
% 50.79/33.43 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))) | ((~m_processor_v_master(c_p0, s3)) | (~node41(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))) | (~m_processor_v_master(c_p0, s3)) | (~node41(c_p0, s3)))),
% 50.79/33.43 inference(rewrite,[status(thm)],[])).
% 50.79/33.43 tff(22133,plain,
% 50.79/33.43 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))) | ((~m_processor_v_master(c_p0, s3)) | (~node41(c_p0, s3)))),
% 50.79/33.43 inference(quant_inst,[status(thm)],[])).
% 50.79/33.43 tff(22134,plain,
% 50.79/33.43 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))) | (~m_processor_v_master(c_p0, s3)) | (~node41(c_p0, s3))),
% 50.79/33.43 inference(modus_ponens,[status(thm)],[22133, 22132])).
% 50.79/33.43 tff(22135,plain,
% 50.79/33.43 (~node41(c_p0, s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[22134, 8080, 9481])).
% 50.79/33.43 tff(22136,plain,
% 50.79/33.43 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))) | ((~m_processor_v_master(c_p0, s3)) | (~node40(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))) | (~m_processor_v_master(c_p0, s3)) | (~node40(c_p0, s3)))),
% 50.79/33.43 inference(rewrite,[status(thm)],[])).
% 50.79/33.43 tff(22137,plain,
% 50.79/33.43 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))) | ((~m_processor_v_master(c_p0, s3)) | (~node40(c_p0, s3)))),
% 50.79/33.43 inference(quant_inst,[status(thm)],[])).
% 50.79/33.43 tff(22138,plain,
% 50.79/33.43 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))) | (~m_processor_v_master(c_p0, s3)) | (~node40(c_p0, s3))),
% 50.79/33.43 inference(modus_ponens,[status(thm)],[22137, 22136])).
% 50.79/33.43 tff(22139,plain,
% 50.79/33.43 (~node40(c_p0, s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[22138, 8069, 9481])).
% 50.79/33.43 tff(22140,assumption,(node39(c_p0, s3, s4)), introduced(assumption)).
% 50.79/33.43 tff(22141,plain,
% 50.79/33.43 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~m_processor_v_snoop(c_p0, s3, c_invalid)) | m_processor_v_snoop(c_p0, s4, c_invalid) | (~node39(c_p0, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | m_processor_v_snoop(c_p0, s4, c_invalid) | (~node39(c_p0, s3, s4)))),
% 50.79/33.43 inference(rewrite,[status(thm)],[])).
% 50.79/33.43 tff(22142,plain,
% 50.79/33.43 (((~node39(c_p0, s3, s4)) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | m_processor_v_snoop(c_p0, s4, c_invalid)) <=> ((~m_processor_v_snoop(c_p0, s3, c_invalid)) | m_processor_v_snoop(c_p0, s4, c_invalid) | (~node39(c_p0, s3, s4)))),
% 50.79/33.43 inference(rewrite,[status(thm)],[])).
% 50.79/33.43 tff(22143,plain,
% 50.79/33.43 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p0, s3, s4)) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | m_processor_v_snoop(c_p0, s4, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~m_processor_v_snoop(c_p0, s3, c_invalid)) | m_processor_v_snoop(c_p0, s4, c_invalid) | (~node39(c_p0, s3, s4))))),
% 50.79/33.43 inference(monotonicity,[status(thm)],[22142])).
% 50.79/33.43 tff(22144,plain,
% 50.79/33.43 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p0, s3, s4)) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | m_processor_v_snoop(c_p0, s4, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | m_processor_v_snoop(c_p0, s4, c_invalid) | (~node39(c_p0, s3, s4)))),
% 50.79/33.43 inference(transitivity,[status(thm)],[22143, 22141])).
% 50.79/33.43 tff(22145,plain,
% 50.79/33.43 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p0, s3, s4)) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | m_processor_v_snoop(c_p0, s4, c_invalid))),
% 50.79/33.43 inference(quant_inst,[status(thm)],[])).
% 50.79/33.43 tff(22146,plain,
% 50.79/33.43 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | m_processor_v_snoop(c_p0, s4, c_invalid) | (~node39(c_p0, s3, s4))),
% 50.79/33.43 inference(modus_ponens,[status(thm)],[22145, 22144])).
% 50.79/33.43 tff(22147,plain,
% 50.79/33.43 ($false),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[22146, 7486, 19868, 22140, 21126])).
% 50.79/33.43 tff(22148,plain,(m_processor_v_snoop(c_p0, s4, c_invalid) | (~node39(c_p0, s3, s4)) | (~m_processor_v_snoop(c_p0, s3, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 50.79/33.43 tff(22149,plain,
% 50.79/33.43 (~node39(c_p0, s3, s4)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[22148, 19868, 21126])).
% 50.79/33.43 tff(22150,plain,
% 50.79/33.43 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s3)) | (~node45(c_p0, s3, s4)) | node39(c_p0, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s3)) | (~node45(c_p0, s3, s4)) | node39(c_p0, s3, s4))),
% 50.79/33.43 inference(rewrite,[status(thm)],[])).
% 50.79/33.43 tff(22151,plain,
% 50.79/33.43 ((node39(c_p0, s3, s4) | (~m_processor_v_abort(c_p0, s3)) | (~node45(c_p0, s3, s4))) <=> ((~m_processor_v_abort(c_p0, s3)) | (~node45(c_p0, s3, s4)) | node39(c_p0, s3, s4))),
% 50.79/33.43 inference(rewrite,[status(thm)],[])).
% 50.79/33.43 tff(22152,plain,
% 50.79/33.43 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p0, s3, s4) | (~m_processor_v_abort(c_p0, s3)) | (~node45(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s3)) | (~node45(c_p0, s3, s4)) | node39(c_p0, s3, s4)))),
% 50.79/33.43 inference(monotonicity,[status(thm)],[22151])).
% 50.79/33.43 tff(22153,plain,
% 50.79/33.43 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p0, s3, s4) | (~m_processor_v_abort(c_p0, s3)) | (~node45(c_p0, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s3)) | (~node45(c_p0, s3, s4)) | node39(c_p0, s3, s4))),
% 50.79/33.43 inference(transitivity,[status(thm)],[22152, 22150])).
% 50.79/33.43 tff(22154,plain,
% 50.79/33.43 ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p0, s3, s4) | (~m_processor_v_abort(c_p0, s3)) | (~node45(c_p0, s3, s4)))),
% 50.79/33.43 inference(quant_inst,[status(thm)],[])).
% 50.79/33.43 tff(22155,plain,
% 50.79/33.43 ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s3)) | (~node45(c_p0, s3, s4)) | node39(c_p0, s3, s4)),
% 50.79/33.43 inference(modus_ponens,[status(thm)],[22154, 22153])).
% 50.79/33.43 tff(22156,plain,
% 50.79/33.43 ((~m_processor_v_abort(c_p0, s3)) | node39(c_p0, s3, s4)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[22155, 7518, 19788])).
% 50.79/33.43 tff(22157,plain,
% 50.79/33.43 (~m_processor_v_abort(c_p0, s3)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[22156, 22149])).
% 50.79/33.43 tff(22158,assumption,(~node41(c_p0, s3)), introduced(assumption)).
% 50.79/33.43 tff(22159,plain,
% 50.79/33.43 (~node44(c_p0, s3, s4)),
% 50.79/33.43 inference(unit_resolution,[status(thm)],[21131, 19868, 21126])).
% 50.79/33.43 tff(22160,plain,
% 50.79/33.43 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node41(c_p0, s3) | node40(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_invalid) | (~node45(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node41(c_p0, s3) | node40(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_invalid) | (~node45(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)))),
% 50.79/33.44 inference(rewrite,[status(thm)],[])).
% 50.79/33.44 tff(22161,plain,
% 50.79/33.44 (((~m_processor_v_master(c_p0, s3)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s3) | node40(c_p0, s3) | node41(c_p0, s3) | (~node45(c_p0, s3, s4)) | m_processor_v_snoop(c_p0, s4, c_invalid)) <=> ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node41(c_p0, s3) | node40(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_invalid) | (~node45(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)))),
% 50.79/33.44 inference(rewrite,[status(thm)],[])).
% 50.79/33.44 tff(22162,plain,
% 50.79/33.44 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s3)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s3) | node40(c_p0, s3) | node41(c_p0, s3) | (~node45(c_p0, s3, s4)) | m_processor_v_snoop(c_p0, s4, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node41(c_p0, s3) | node40(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_invalid) | (~node45(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid))))),
% 50.79/33.44 inference(monotonicity,[status(thm)],[22161])).
% 50.79/33.44 tff(22163,plain,
% 50.79/33.44 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s3)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s3) | node40(c_p0, s3) | node41(c_p0, s3) | (~node45(c_p0, s3, s4)) | m_processor_v_snoop(c_p0, s4, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node41(c_p0, s3) | node40(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_invalid) | (~node45(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)))),
% 50.79/33.44 inference(transitivity,[status(thm)],[22162, 22160])).
% 50.79/33.44 tff(22164,plain,
% 50.79/33.44 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s3)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s3) | node40(c_p0, s3) | node41(c_p0, s3) | (~node45(c_p0, s3, s4)) | m_processor_v_snoop(c_p0, s4, c_invalid))),
% 50.79/33.44 inference(quant_inst,[status(thm)],[])).
% 50.79/33.44 tff(22165,plain,
% 50.79/33.44 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node41(c_p0, s3) | node40(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_invalid) | (~node45(c_p0, s3, s4)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid))),
% 50.79/33.44 inference(modus_ponens,[status(thm)],[22164, 22163])).
% 50.79/33.44 tff(22166,plain,
% 50.79/33.44 ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node41(c_p0, s3) | node40(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_invalid) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid))),
% 50.79/33.44 inference(unit_resolution,[status(thm)],[22165, 7563, 19788])).
% 50.79/33.44 tff(22167,plain,
% 50.79/33.44 (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)),
% 50.79/33.44 inference(unit_resolution,[status(thm)],[22166, 9481, 19868, 22158, 9678, 19784])).
% 50.79/33.44 tff(22168,plain,
% 50.79/33.44 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~node42(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~node42(c_p0, s3)))),
% 50.79/33.44 inference(rewrite,[status(thm)],[])).
% 50.79/33.44 tff(22169,plain,
% 50.79/33.44 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~node42(c_p0, s3)))),
% 50.79/33.44 inference(quant_inst,[status(thm)],[])).
% 50.79/33.44 tff(22170,plain,
% 50.79/33.44 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid) | (~node42(c_p0, s3))),
% 50.79/33.44 inference(modus_ponens,[status(thm)],[22169, 22168])).
% 50.79/33.44 tff(22171,plain,
% 50.79/33.44 (~node42(c_p0, s3)),
% 50.79/33.44 inference(unit_resolution,[status(thm)],[22170, 7579, 22167])).
% 50.79/33.44 tff(22172,plain,
% 50.79/33.44 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node41(c_p0, s3) | node40(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_invalid) | (~node45(c_p0, s3, s4)) | node42(c_p0, s3) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node41(c_p0, s3) | node40(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_invalid) | (~node45(c_p0, s3, s4)) | node42(c_p0, s3) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)))),
% 50.79/33.44 inference(rewrite,[status(thm)],[])).
% 50.79/33.44 tff(22173,plain,
% 50.79/33.44 (((~m_processor_v_master(c_p0, s3)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s3) | node40(c_p0, s3) | node41(c_p0, s3) | node42(c_p0, s3) | (~node45(c_p0, s3, s4)) | m_processor_v_snoop(c_p0, s4, c_invalid)) <=> ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node41(c_p0, s3) | node40(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_invalid) | (~node45(c_p0, s3, s4)) | node42(c_p0, s3) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)))),
% 50.79/33.44 inference(rewrite,[status(thm)],[])).
% 50.79/33.44 tff(22174,plain,
% 50.79/33.44 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s3)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s3) | node40(c_p0, s3) | node41(c_p0, s3) | node42(c_p0, s3) | (~node45(c_p0, s3, s4)) | m_processor_v_snoop(c_p0, s4, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node41(c_p0, s3) | node40(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_invalid) | (~node45(c_p0, s3, s4)) | node42(c_p0, s3) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared))))),
% 50.82/33.44 inference(monotonicity,[status(thm)],[22173])).
% 50.82/33.44 tff(22175,plain,
% 50.82/33.44 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s3)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s3) | node40(c_p0, s3) | node41(c_p0, s3) | node42(c_p0, s3) | (~node45(c_p0, s3, s4)) | m_processor_v_snoop(c_p0, s4, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node41(c_p0, s3) | node40(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_invalid) | (~node45(c_p0, s3, s4)) | node42(c_p0, s3) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)))),
% 50.82/33.44 inference(transitivity,[status(thm)],[22174, 22172])).
% 50.82/33.44 tff(22176,plain,
% 50.82/33.44 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s3)) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s3) | node40(c_p0, s3) | node41(c_p0, s3) | node42(c_p0, s3) | (~node45(c_p0, s3, s4)) | m_processor_v_snoop(c_p0, s4, c_invalid))),
% 50.82/33.44 inference(quant_inst,[status(thm)],[])).
% 50.82/33.44 tff(22177,plain,
% 50.82/33.44 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node41(c_p0, s3) | node40(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_invalid) | (~node45(c_p0, s3, s4)) | node42(c_p0, s3) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared))),
% 50.82/33.44 inference(modus_ponens,[status(thm)],[22176, 22175])).
% 50.82/33.44 tff(22178,plain,
% 50.82/33.44 ((~m_processor_v_master(c_p0, s3)) | m_processor_v_abort(c_p0, s3) | node41(c_p0, s3) | node40(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_invalid) | node42(c_p0, s3) | (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared))),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[22177, 7615, 19788])).
% 50.82/33.44 tff(22179,plain,
% 50.82/33.44 (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[22178, 22171, 19868, 9678, 9481, 19784, 22158])).
% 50.82/33.44 tff(22180,plain,
% 50.82/33.44 (node43(c_p0, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[19795, 22171, 19783, 19784, 22158, 9678])).
% 50.82/33.44 tff(22181,assumption,(node43(c_p0, s3)), introduced(assumption)).
% 50.82/33.44 tff(22182,plain,
% 50.82/33.44 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | (~node43(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | (~node43(c_p0, s3)))),
% 50.82/33.44 inference(rewrite,[status(thm)],[])).
% 50.82/33.44 tff(22183,plain,
% 50.82/33.44 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | (~node43(c_p0, s3)))),
% 50.82/33.44 inference(quant_inst,[status(thm)],[])).
% 50.82/33.44 tff(22184,plain,
% 50.82/33.44 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared) | (~node43(c_p0, s3))),
% 50.82/33.44 inference(modus_ponens,[status(thm)],[22183, 22182])).
% 50.82/33.44 tff(22185,plain,
% 50.82/33.44 ($false),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[22184, 7631, 11542, 22181])).
% 50.82/33.44 tff(22186,plain,((~node43(c_p0, s3)) | m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.44 tff(22187,plain,
% 50.82/33.44 ($false),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[22186, 22180, 22179])).
% 50.82/33.44 tff(22188,plain,((~m_processor_v_master(c_p0, s3)) | node44(c_p0, s3, s4) | node40(c_p0, s3) | node41(c_p0, s3) | m_processor_v_abort(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.44 tff(22189,plain,
% 50.82/33.44 (~m_processor_v_master(c_p0, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[22188, 22159, 19784, 22158, 22157, 19868])).
% 50.82/33.44 tff(22190,plain,
% 50.82/33.44 (~node43(c_p0, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[19781, 8159, 22189])).
% 50.82/33.44 tff(22191,plain,
% 50.82/33.44 (~node42(c_p0, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[19777, 8170, 22189])).
% 50.82/33.44 tff(22192,plain,
% 50.82/33.44 ($false),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[19795, 22191, 22190, 22159, 19784, 22158, 22157])).
% 50.82/33.44 tff(22193,plain,(m_processor_v_snoop(c_p0, s4, c_invalid) | node40(c_p0, s3) | node41(c_p0, s3) | (~m_processor_v_snoop(c_p0, s3, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.44 tff(22194,plain,
% 50.82/33.44 ($false),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[22193, 22139, 22135, 19868, 21126])).
% 50.82/33.44 tff(22195,plain,((~m_processor_v_master(c_p0, s3)) | m_processor_v_snoop(c_p0, s4, c_invalid) | (~m_processor_v_snoop(c_p0, s3, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.44 tff(22196,plain,
% 50.82/33.44 (~m_processor_v_master(c_p0, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[22195, 22131, 21946])).
% 50.82/33.44 tff(22197,plain,
% 50.82/33.44 (~node44(c_p0, s3, s4)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[21131, 22131, 21946])).
% 50.82/33.44 tff(22198,plain,
% 50.82/33.44 (m_processor_v_state(c_p0, s3, c_owned)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[9728, 22196, 21950])).
% 50.82/33.44 tff(22199,plain,
% 50.82/33.44 (~node39(c_p0, s3, s4)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[22148, 22131, 21946])).
% 50.82/33.44 tff(22200,plain,
% 50.82/33.44 (~m_processor_v_abort(c_p0, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[22156, 22199])).
% 50.82/33.44 tff(22201,plain,
% 50.82/33.44 ($false),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[22098, 22200, 22198, 2595, 22197, 21875, 22196])).
% 50.82/33.44 tff(22202,plain,((~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | node47(c_p1, s4) | node52(c_p1, s4, s5) | m_processor_v_abort(c_p1, s4) | node48(c_p1, s4) | m_memory_v_busy(c_m, s3) | m_processor_v_state(c_p0, s6, c_owned) | node67(s8) | node67(s9) | m_processor_v_abort(c_p0, s2) | m_processor_v_waiting(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.44 tff(22203,plain,
% 50.82/33.44 (~m_processor_v_state(c_p1, s2, c_invalid)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[22202, 1620, 2595, 19853, 19852, 1425, 19851, 9847, 5, 5932, 5949, 5500, 5501])).
% 50.82/33.44 tff(22204,plain,
% 50.82/33.44 (m_processor_v_state(c_p0, s2, c_invalid)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[5074, 22203])).
% 50.82/33.44 tff(22205,plain,
% 50.82/33.44 (~m_processor_v_state(c_p0, s2, c_owned)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[2779, 137, 22204])).
% 50.82/33.44 tff(22206,plain,
% 50.82/33.44 (~m_processor_v_master(c_p0, s2)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[5647, 22204, 5500, 5501])).
% 50.82/33.44 tff(22207,plain,
% 50.82/33.44 (~m_processor_v_state(c_p0, s3, c_owned)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[2775, 22206, 22205])).
% 50.82/33.44 tff(22208,plain,
% 50.82/33.44 (~node56(c_p0, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[2650, 22207])).
% 50.82/33.44 tff(22209,plain,
% 50.82/33.44 (~m_processor_v_writable(c_p0, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[2639, 22208])).
% 50.82/33.44 tff(22210,plain,
% 50.82/33.44 (~node67(s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[2631, 22209])).
% 50.82/33.44 tff(22211,plain,
% 50.82/33.44 (m_processor_v_state(c_p0, s4, c_owned)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[21376, 22210, 20049, 5, 5932, 5949, 1620])).
% 50.82/33.44 tff(22212,plain,
% 50.82/33.44 (m_processor_v_state(c_p0, s2, c_invalid)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[5074, 2781])).
% 50.82/33.44 tff(22213,plain,
% 50.82/33.44 (m_processor_v_snoop(c_p0, s2, c_invalid)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[11060, 2781])).
% 50.82/33.44 tff(22214,plain,
% 50.82/33.44 (~node39(c_p0, s2, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[21143, 22213, 21134])).
% 50.82/33.44 tff(22215,plain,
% 50.82/33.44 (~m_processor_v_abort(c_p0, s2)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[21152, 22214])).
% 50.82/33.44 tff(22216,plain,
% 50.82/33.44 (~node44(c_p0, s2, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[21177, 22213, 21134])).
% 50.82/33.44 tff(22217,plain,
% 50.82/33.44 (m_processor_v_state(c_p0, s2, c_owned)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[11345, 22216, 22212, 22215])).
% 50.82/33.44 tff(22218,plain,
% 50.82/33.44 ($false),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[2779, 137, 22217, 22212])).
% 50.82/33.44 tff(22219,plain,(m_processor_v_state(c_p1, s2, c_invalid) | m_processor_v_snoop(c_p0, s3, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.44 tff(22220,plain,
% 50.82/33.44 (m_processor_v_snoop(c_p0, s3, c_invalid)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[22219, 22203])).
% 50.82/33.44 tff(22221,plain,
% 50.82/33.44 (m_processor_v_master(c_p0, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[9728, 22211, 22207])).
% 50.82/33.44 tff(22222,plain,
% 50.82/33.44 (m_processor_v_snoop(c_p0, s4, c_invalid)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[22195, 22221, 22220])).
% 50.82/33.44 tff(22223,plain,
% 50.82/33.44 (~m_memory_v_cmd(c_m, s4, c_idle)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[21124, 22222, 1620, 22211, 19853, 19852, 1425, 19851])).
% 50.82/33.44 tff(22224,plain,
% 50.82/33.44 (node29(c_m, s4)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[1325, 22223])).
% 50.82/33.44 tff(22225,plain,
% 50.82/33.44 (m_memory_v_busy(c_m, s4)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[2077, 22224])).
% 50.82/33.44 tff(22226,plain,
% 50.82/33.44 (~node18(c_m, s3, s4)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[20093, 22225, 9847])).
% 50.82/33.44 tff(22227,plain,
% 50.82/33.44 (~m_memory_v_abort(c_m, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[9878, 22226])).
% 50.82/33.44 tff(22228,plain,
% 50.82/33.44 (node26(c_m, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[19756, 22227])).
% 50.82/33.44 tff(22229,plain,
% 50.82/33.44 (~m_processor_v_master(c_p1, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[9444, 794, 22221])).
% 50.82/33.44 tff(22230,plain,
% 50.82/33.44 (m_processor_v_reply_h_owned(c_p1, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[21700, 22229])).
% 50.82/33.44 tff(22231,plain,
% 50.82/33.44 (~node5(s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[21708, 22230])).
% 50.82/33.44 tff(22232,plain,
% 50.82/33.44 (m_main_v_REPLY_h_OWNED(s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[19697, 22231])).
% 50.82/33.44 tff(22233,plain,
% 50.82/33.44 (m_memory_v_REPLY_h_OWNED(c_m, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[19705, 22232])).
% 50.82/33.44 tff(22234,plain,
% 50.82/33.44 (node25(c_m, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[19749, 22233, 22228])).
% 50.82/33.44 tff(22235,plain,
% 50.82/33.44 (~m_processor_v_state(c_p0, s2, c_shared)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[8392, 22204])).
% 50.82/33.44 tff(22236,plain,
% 50.82/33.44 (m_processor_v_state(c_p0, s3, c_invalid)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[9264, 22206, 22205, 22235])).
% 50.82/33.44 tff(22237,plain,
% 50.82/33.44 (~m_processor_v_state(c_p0, s4, c_invalid)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[1757, 22211])).
% 50.82/33.44 tff(22238,plain,
% 50.82/33.44 (~node32(c_p0, s3, s4)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[9389, 22237, 22236])).
% 50.82/33.44 tff(22239,plain,
% 50.82/33.44 (~m_processor_v_abort(c_p0, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[9403, 22238])).
% 50.82/33.44 tff(22240,plain,
% 50.82/33.44 (node60(c_p0, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[10486, 22239])).
% 50.82/33.44 tff(22241,plain,
% 50.82/33.44 (~m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[10494, 22240])).
% 50.82/33.44 tff(22242,plain,
% 50.82/33.44 (~m_main_v_REPLY_h_STALL(s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[10502, 22241])).
% 50.82/33.44 tff(22243,plain,
% 50.82/33.44 (~m_memory_v_REPLY_h_STALL(c_m, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[12181, 22242])).
% 50.82/33.44 tff(22244,plain,
% 50.82/33.44 (~m_processor_v_state(c_p0, s3, c_shared)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[9412, 22236])).
% 50.82/33.44 tff(22245,plain,
% 50.82/33.44 (node34(c_p0, s3, s4)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[9525, 22237, 22207, 22244])).
% 50.82/33.44 tff(22246,plain,
% 50.82/33.44 (~m_processor_v_state(c_p0, s4, c_shared)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[6888, 22211])).
% 50.82/33.44 tff(22247,plain,
% 50.82/33.44 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[9533, 416, 22246, 22245])).
% 50.82/33.44 tff(22248,plain,
% 50.82/33.44 (~m_main_v_CMD(s3, c_read_h_shared)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[9548, 22247])).
% 50.82/33.44 tff(22249,plain,
% 50.82/33.44 (m_memory_v_CMD(c_m, s3, c_read_h_owned)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[22112, 22248, 9847, 22225, 22243])).
% 50.82/33.44 tff(22250,plain,
% 50.82/33.44 ($false),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[19740, 9959, 22249, 22234])).
% 50.82/33.44 tff(22251,plain,((~m_processor_v_cmd(c_p1, s4, c_idle)) | m_memory_v_busy(c_m, s3) | (~m_processor_v_state(c_p1, s3, c_owned)) | node47(c_p1, s4) | node52(c_p1, s4, s5) | m_processor_v_abort(c_p1, s4) | node48(c_p1, s4) | m_processor_v_state(c_p0, s6, c_owned) | node67(s8) | node67(s9) | m_processor_v_abort(c_p0, s2) | m_processor_v_waiting(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.44 tff(22252,plain,
% 50.82/33.44 (~m_processor_v_cmd(c_p1, s4, c_idle)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[22251, 19852, 2595, 19853, 9847, 1425, 19851, 5, 5932, 5949, 5500, 5501])).
% 50.82/33.44 tff(22253,plain,
% 50.82/33.44 (m_processor_v_master(c_p1, s4)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[1517, 22252])).
% 50.82/33.44 tff(22254,plain,
% 50.82/33.44 (~node49(c_p1, s4)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[21217, 16755, 22253])).
% 50.82/33.44 tff(22255,plain,
% 50.82/33.44 (~node51(c_p1, s4)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[21227, 16894, 22253])).
% 50.82/33.44 tff(22256,plain,
% 50.82/33.44 (~node50(c_p1, s4)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[21223, 16866, 22253])).
% 50.82/33.44 tff(22257,plain,
% 50.82/33.44 ($false),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[19972, 22256, 22255, 19851, 19852, 19853, 1425, 22254])).
% 50.82/33.44 tff(22258,plain,(node52(c_p1, s4, s5) | node48(c_p1, s4) | node47(c_p1, s4) | m_processor_v_abort(c_p1, s4) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_memory_v_busy(c_m, s3) | m_processor_v_state(c_p0, s6, c_owned) | node67(s8) | node67(s9) | m_processor_v_abort(c_p0, s2) | m_processor_v_waiting(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.44 tff(22259,plain,
% 50.82/33.44 (node52(c_p1, s4, s5)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[22258, 21944, 19853, 1425, 2595, 21920, 5, 5932, 5949, 5500, 5501])).
% 50.82/33.44 tff(22260,plain,
% 50.82/33.44 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s4) | (~m_processor_v_waiting(c_p1, s5)) | (~node52(c_p1, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | m_processor_v_waiting(c_p1, s4) | (~m_processor_v_waiting(c_p1, s5)) | (~node52(c_p1, s4, s5)))),
% 50.82/33.44 inference(rewrite,[status(thm)],[])).
% 50.82/33.44 tff(22261,plain,
% 50.82/33.44 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s4) | (~m_processor_v_waiting(c_p1, s5)) | (~node52(c_p1, s4, s5)))),
% 50.82/33.44 inference(quant_inst,[status(thm)],[])).
% 50.82/33.44 tff(22262,plain,
% 50.82/33.44 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | m_processor_v_waiting(c_p1, s4) | (~m_processor_v_waiting(c_p1, s5)) | (~node52(c_p1, s4, s5))),
% 50.82/33.44 inference(modus_ponens,[status(thm)],[22261, 22260])).
% 50.82/33.44 tff(22263,plain,
% 50.82/33.44 ($false),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[22262, 20180, 19111, 6709, 19527])).
% 50.82/33.44 tff(22264,plain,((~node52(c_p1, s4, s5)) | (~m_processor_v_waiting(c_p1, s5)) | m_processor_v_waiting(c_p1, s4)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.44 tff(22265,plain,
% 50.82/33.44 (m_processor_v_waiting(c_p1, s4)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[22264, 19111, 19527])).
% 50.82/33.44 tff(22266,plain,
% 50.82/33.44 (~node56(c_p1, s5)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[19116, 19111])).
% 50.82/33.44 tff(22267,plain,
% 50.82/33.44 (~m_processor_v_writable(c_p1, s5)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[88, 22266])).
% 50.82/33.44 tff(22268,plain,
% 50.82/33.44 (~node67(s5)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[103, 22267])).
% 50.82/33.44 tff(22269,plain,
% 50.82/33.44 (~node67(s4)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[6563, 98, 6556])).
% 50.82/33.44 tff(22270,plain,
% 50.82/33.44 (node67(s2)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[6250, 22269, 5668, 5949, 5932, 5669, 5667, 5671])).
% 50.82/33.44 tff(22271,plain,
% 50.82/33.44 ($false),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[5703, 98, 5700, 22270])).
% 50.82/33.44 tff(22272,plain,(m_processor_v_writable(c_p1, s2) | node67(s6) | node67(s9) | node67(s8) | node67(s5) | node67(s7) | node67(s3) | m_processor_v_writable(c_p1, s4)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.44 tff(22273,plain,
% 50.82/33.44 (m_processor_v_writable(c_p1, s4)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[22272, 22268, 5932, 5700, 5949, 5668, 5667, 5671])).
% 50.82/33.44 tff(22274,plain,
% 50.82/33.44 (node56(c_p1, s4)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[6573, 22273])).
% 50.82/33.44 tff(22275,plain,
% 50.82/33.44 ($false),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[6603, 540, 22274, 22265])).
% 50.82/33.44 tff(22276,plain,((~m_processor_v_waiting(c_p1, s5)) | node67(s8) | m_processor_v_writable(c_p1, s2) | node67(s9) | node67(s6) | node67(s7) | node67(s3) | (~node52(c_p1, s4, s5))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.44 tff(22277,plain,
% 50.82/33.44 (~m_processor_v_waiting(c_p1, s5)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[22276, 22259, 5932, 5949, 52, 6553, 21260, 21882])).
% 50.82/33.44 tff(22278,plain,
% 50.82/33.44 (~m_processor_v_waiting(c_p1, s4)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[19535, 22259, 22277])).
% 50.82/33.44 tff(22279,plain,
% 50.82/33.44 (~node46(c_p1, s3, s4)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[12055, 22278, 21879])).
% 50.82/33.44 tff(22280,plain,
% 50.82/33.44 (~m_processor_v_abort(c_p1, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[12063, 22279])).
% 50.82/33.44 tff(22281,plain,
% 50.82/33.44 (~node52(c_p1, s3, s4)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[12125, 22278, 21879])).
% 50.82/33.44 tff(22282,plain,
% 50.82/33.44 (node44(c_p0, s2, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[11278, 21956, 11265, 5500, 21955, 21170])).
% 50.82/33.44 tff(22283,plain,
% 50.82/33.44 (~m_processor_v_snoop(c_p0, s3, c_shared)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[11359, 22282])).
% 50.82/33.44 tff(22284,plain,
% 50.82/33.44 (~node65(c_p0, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[11471, 4107, 22283])).
% 50.82/33.44 tff(22285,plain,
% 50.82/33.44 (~m_processor_v_snoop(c_p0, s3, c_owned)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[11368, 22282])).
% 50.82/33.44 tff(22286,plain,
% 50.82/33.44 (~node64(c_p0, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[11439, 4082, 22285])).
% 50.82/33.44 tff(22287,plain,
% 50.82/33.44 (~m_processor_v_state(c_p0, s4, c_invalid)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[1757, 21381])).
% 50.82/33.44 tff(22288,plain,
% 50.82/33.44 (~node29(c_m, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[9855, 21944])).
% 50.82/33.44 tff(22289,plain,
% 50.82/33.44 (m_memory_v_cmd(c_m, s3, c_idle)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[9510, 22288])).
% 50.82/33.44 tff(22290,plain,
% 50.82/33.44 (~m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[11826, 12719])).
% 50.82/33.44 tff(22291,plain,
% 50.82/33.44 (~m_main_v_CMD(s3, c_read_h_shared)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[11518, 9596, 2652, 9550])).
% 50.82/33.44 tff(22292,plain,
% 50.82/33.44 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[11528, 22291])).
% 50.82/33.44 tff(22293,plain,
% 50.82/33.44 (~node61(c_p0, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[11909, 22292, 11804])).
% 50.82/33.44 tff(22294,plain,
% 50.82/33.44 (~m_processor_v_abort(c_p0, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[11875, 22293, 22290])).
% 50.82/33.44 tff(22295,plain,
% 50.82/33.44 (node60(c_p0, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[10486, 22294])).
% 50.82/33.44 tff(22296,plain,
% 50.82/33.44 (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[12098, 3630, 9596])).
% 50.82/33.44 tff(22297,plain,
% 50.82/33.44 (~m_processor_v_master(c_p1, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[10757, 22296, 10644, 10640, 11796, 12045, 12040])).
% 50.82/33.44 tff(22298,plain,
% 50.82/33.44 (m_processor_v_reply_h_waiting(c_p1, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[21926, 22297])).
% 50.82/33.44 tff(22299,plain,
% 50.82/33.44 (~node6(s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[21451, 22298])).
% 50.82/33.44 tff(22300,plain,
% 50.82/33.44 (m_main_v_REPLY_h_WAITING(s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[20135, 22299])).
% 50.82/33.44 tff(22301,plain,
% 50.82/33.44 (m_processor_v_REPLY_h_WAITING(c_p0, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[21443, 22300])).
% 50.82/33.44 tff(22302,plain,
% 50.82/33.44 (node59(c_p0, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[21437, 724, 22301, 22295])).
% 50.82/33.44 tff(22303,plain,
% 50.82/33.44 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[10595, 22291])).
% 50.82/33.44 tff(22304,plain,
% 50.82/33.44 (~node47(c_p1, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[6804, 657, 22303])).
% 50.82/33.44 tff(22305,plain,
% 50.82/33.44 (~node48(c_p1, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[12115, 11562, 22297])).
% 50.82/33.44 tff(22306,plain,
% 50.82/33.44 (~m_main_v_CMD(s3, c_idle)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[12168, 22305, 12138, 6710, 22304])).
% 50.82/33.44 tff(22307,plain,
% 50.82/33.44 (~m_processor_v_master(c_p2, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[22092, 22306])).
% 50.82/33.44 tff(22308,plain,
% 50.82/33.44 (m_processor_v_cmd(c_p2, s3, c_idle)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[9594, 22307])).
% 50.82/33.44 tff(22309,plain,
% 50.82/33.44 (node8(s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[11495, 22308])).
% 50.82/33.44 tff(22310,plain,
% 50.82/33.44 (~m_processor_v_cmd(c_p0, s3, c_idle)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[11516, 22306, 9550, 9596])).
% 50.82/33.44 tff(22311,plain,
% 50.82/33.44 (m_processor_v_master(c_p0, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[10144, 22310])).
% 50.82/33.44 tff(22312,plain,
% 50.82/33.44 (node34(c_p0, s3, s4)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[9522, 22311, 22294])).
% 50.82/33.44 tff(22313,plain,
% 50.82/33.44 (m_processor_v_cmd(c_p0, s3, c_write_h_invalid)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[11467, 22310, 2652, 11450, 11451, 11410, 11425, 22311])).
% 50.82/33.44 tff(22314,plain,
% 50.82/33.44 (m_processor_v_CMD(c_p0, s3, c_read_h_owned)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[11673, 22313, 1095, 22312, 22309])).
% 50.82/33.44 tff(22315,plain,
% 50.82/33.44 ($false),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[21427, 707, 22314, 22302])).
% 50.82/33.44 tff(22316,plain,((~m_processor_v_cmd(c_p1, s3, c_idle)) | m_processor_v_state(c_p0, s4, c_invalid) | (~m_memory_v_cmd(c_m, s3, c_idle)) | (~m_processor_v_state(c_p0, s3, c_owned)) | node64(c_p0, s3) | node65(c_p0, s3) | node52(c_p1, s3, s4) | m_processor_v_abort(c_p1, s3) | (~m_processor_v_waiting(c_p1, s3)) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.44 tff(22317,plain,
% 50.82/33.44 (~m_processor_v_cmd(c_p1, s3, c_idle)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[22316, 22289, 22287, 21938, 22286, 22284, 22281, 22280, 21879, 21875, 2595])).
% 50.82/33.44 tff(22318,plain,
% 50.82/33.44 (m_processor_v_master(c_p1, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[9478, 22317])).
% 50.82/33.44 tff(22319,plain,
% 50.82/33.44 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | ((~m_processor_v_master(c_p1, s3)) | (~node50(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | (~m_processor_v_master(c_p1, s3)) | (~node50(c_p1, s3)))),
% 50.82/33.44 inference(rewrite,[status(thm)],[])).
% 50.82/33.44 tff(22320,plain,
% 50.82/33.44 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | ((~m_processor_v_master(c_p1, s3)) | (~node50(c_p1, s3)))),
% 50.82/33.44 inference(quant_inst,[status(thm)],[])).
% 50.82/33.44 tff(22321,plain,
% 50.82/33.44 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | (~m_processor_v_master(c_p1, s3)) | (~node50(c_p1, s3))),
% 50.82/33.44 inference(modus_ponens,[status(thm)],[22320, 22319])).
% 50.82/33.44 tff(22322,plain,
% 50.82/33.44 (~node50(c_p1, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[22321, 16866, 22318])).
% 50.82/33.44 tff(22323,plain,
% 50.82/33.44 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[6800, 22318, 22280, 22278])).
% 50.82/33.44 tff(22324,plain,
% 50.82/33.44 (~node47(c_p1, s3)),
% 50.82/33.44 inference(unit_resolution,[status(thm)],[6804, 657, 22323])).
% 50.82/33.44 tff(22325,plain,
% 50.82/33.44 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | ((~m_processor_v_master(c_p1, s3)) | (~node51(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | (~m_processor_v_master(c_p1, s3)) | (~node51(c_p1, s3)))),
% 50.82/33.44 inference(rewrite,[status(thm)],[])).
% 50.82/33.44 tff(22326,plain,
% 50.82/33.44 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | ((~m_processor_v_master(c_p1, s3)) | (~node51(c_p1, s3)))),
% 50.82/33.45 inference(quant_inst,[status(thm)],[])).
% 50.82/33.45 tff(22327,plain,
% 50.82/33.45 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | (~m_processor_v_master(c_p1, s3)) | (~node51(c_p1, s3))),
% 50.82/33.45 inference(modus_ponens,[status(thm)],[22326, 22325])).
% 50.82/33.45 tff(22328,plain,
% 50.82/33.45 (~node51(c_p1, s3)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[22327, 16894, 22318])).
% 50.82/33.45 tff(22329,plain,
% 50.82/33.45 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | ((~m_processor_v_master(c_p1, s3)) | (~node49(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | (~m_processor_v_master(c_p1, s3)) | (~node49(c_p1, s3)))),
% 50.82/33.45 inference(rewrite,[status(thm)],[])).
% 50.82/33.45 tff(22330,plain,
% 50.82/33.45 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | ((~m_processor_v_master(c_p1, s3)) | (~node49(c_p1, s3)))),
% 50.82/33.45 inference(quant_inst,[status(thm)],[])).
% 50.82/33.45 tff(22331,plain,
% 50.82/33.45 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | (~m_processor_v_master(c_p1, s3)) | (~node49(c_p1, s3))),
% 50.82/33.45 inference(modus_ponens,[status(thm)],[22330, 22329])).
% 50.82/33.45 tff(22332,plain,
% 50.82/33.45 (~node49(c_p1, s3)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[22331, 16755, 22318])).
% 50.82/33.45 tff(22333,plain,
% 50.82/33.45 (node48(c_p1, s3)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[12166, 22332, 22281, 22328, 22280, 22324, 22322])).
% 50.82/33.45 tff(22334,plain,
% 50.82/33.45 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[6792, 22324, 22278, 22280, 22318])).
% 50.82/33.45 tff(22335,plain,
% 50.82/33.45 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~node48(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~node48(c_p1, s3)))),
% 50.82/33.45 inference(rewrite,[status(thm)],[])).
% 50.82/33.45 tff(22336,plain,
% 50.82/33.45 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~node48(c_p1, s3)))),
% 50.82/33.45 inference(quant_inst,[status(thm)],[])).
% 50.82/33.45 tff(22337,plain,
% 50.82/33.45 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_read_h_owned) | (~node48(c_p1, s3))),
% 50.82/33.45 inference(modus_ponens,[status(thm)],[22336, 22335])).
% 50.82/33.45 tff(22338,plain,
% 50.82/33.45 ($false),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[22337, 16883, 22334, 22333])).
% 50.82/33.45 tff(22339,plain,((~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_owned)) | node67(s8) | node67(s9) | node47(c_p1, s4) | m_processor_v_abort(c_p1, s4) | m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_abort(c_p0, s2) | m_processor_v_waiting(c_p0, s3) | m_processor_v_master(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.45 tff(22340,plain,
% 50.82/33.45 (m_processor_v_waiting(c_p0, s3)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[22339, 21874, 5932, 5949, 19853, 1425, 5, 21857, 2595, 2622])).
% 50.82/33.45 tff(22341,plain,
% 50.82/33.45 (^[Y: $i, I0: $i, X: $i] : refl((m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~node53(I0, X, Y)) | (~m_processor_v_CMD(I0, X, c_response))) <=> (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~node53(I0, X, Y)) | (~m_processor_v_CMD(I0, X, c_response))))),
% 50.82/33.45 inference(bind,[status(th)],[])).
% 50.82/33.45 tff(22342,plain,
% 50.82/33.45 (![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~node53(I0, X, Y)) | (~m_processor_v_CMD(I0, X, c_response))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~node53(I0, X, Y)) | (~m_processor_v_CMD(I0, X, c_response)))),
% 50.82/33.45 inference(quant_intro,[status(thm)],[22341])).
% 50.82/33.45 tff(22343,plain,
% 50.82/33.45 (![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~node53(I0, X, Y)) | (~m_processor_v_CMD(I0, X, c_response))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~node53(I0, X, Y)) | (~m_processor_v_CMD(I0, X, c_response)))),
% 50.82/33.45 inference(rewrite,[status(thm)],[])).
% 50.82/33.45 tff(22344,plain,
% 50.82/33.45 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X))), ((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | m_processor_v_master(I0, X)) <=> ((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X)) | m_processor_v_master(I0, X)))), rewrite(((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X)) | m_processor_v_master(I0, X)) <=> (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X))), ((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | m_processor_v_master(I0, X)) <=> (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X)))), (((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_response))) <=> ((m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X)) | (~m_processor_v_CMD(I0, X, c_response))))), rewrite(((m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X)) | (~m_processor_v_CMD(I0, X, c_response))) <=> (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | (~m_processor_v_CMD(I0, X, c_response)))), (((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_response))) <=> (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | (~m_processor_v_CMD(I0, X, c_response))))), ((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_response))) | (~m_processor_v_waiting(I0, Y))) <=> ((m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | (~m_processor_v_CMD(I0, X, c_response))) | (~m_processor_v_waiting(I0, Y))))), rewrite(((m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | (~m_processor_v_CMD(I0, X, c_response))) | (~m_processor_v_waiting(I0, Y))) <=> (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~m_processor_v_CMD(I0, X, c_response)))), ((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_response))) | (~m_processor_v_waiting(I0, Y))) <=> (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~m_processor_v_CMD(I0, X, c_response))))), (((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_response))) | (~m_processor_v_waiting(I0, Y))) | (~node53(I0, X, Y))) <=> ((m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~m_processor_v_CMD(I0, X, c_response))) | (~node53(I0, X, Y))))), rewrite(((m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~m_processor_v_CMD(I0, X, c_response))) | (~node53(I0, X, Y))) <=> (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~node53(I0, X, Y)) | (~m_processor_v_CMD(I0, X, c_response)))), (((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_response))) | (~m_processor_v_waiting(I0, Y))) | (~node53(I0, X, Y))) <=> (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~node53(I0, X, Y)) | (~m_processor_v_CMD(I0, X, c_response)))))),
% 50.82/33.45 inference(bind,[status(th)],[])).
% 50.82/33.45 tff(22345,plain,
% 50.82/33.45 (![Y: $i, I0: $i, X: $i] : ((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_response))) | (~m_processor_v_waiting(I0, Y))) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~node53(I0, X, Y)) | (~m_processor_v_CMD(I0, X, c_response)))),
% 50.82/33.45 inference(quant_intro,[status(thm)],[22344])).
% 50.82/33.45 tff(22346,axiom,(![Y: $i, I0: $i, X: $i] : ((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_response))) | (~m_processor_v_waiting(I0, Y))) | (~node53(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_111')).
% 50.82/33.45 tff(22347,plain,
% 50.82/33.45 (![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~node53(I0, X, Y)) | (~m_processor_v_CMD(I0, X, c_response)))),
% 50.82/33.45 inference(modus_ponens,[status(thm)],[22346, 22345])).
% 50.82/33.45 tff(22348,plain,
% 50.82/33.45 (![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~node53(I0, X, Y)) | (~m_processor_v_CMD(I0, X, c_response)))),
% 50.82/33.45 inference(modus_ponens,[status(thm)],[22347, 22343])).
% 50.82/33.45 tff(22349,plain,(
% 50.82/33.45 ![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~node53(I0, X, Y)) | (~m_processor_v_CMD(I0, X, c_response)))),
% 50.82/33.45 inference(skolemize,[status(sab)],[22348])).
% 50.82/33.45 tff(22350,plain,
% 50.82/33.45 (![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~node53(I0, X, Y)) | (~m_processor_v_CMD(I0, X, c_response)))),
% 50.82/33.45 inference(modus_ponens,[status(thm)],[22349, 22342])).
% 50.82/33.45 tff(22351,plain,
% 50.82/33.45 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~node53(I0, X, Y)) | (~m_processor_v_CMD(I0, X, c_response)))) | (m_processor_v_master(c_p0, s2) | m_processor_v_abort(c_p0, s2) | node48(c_p0, s2) | node47(c_p0, s2) | (~m_processor_v_waiting(c_p0, s3)) | (~m_processor_v_CMD(c_p0, s2, c_response)) | (~node53(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~node53(I0, X, Y)) | (~m_processor_v_CMD(I0, X, c_response)))) | m_processor_v_master(c_p0, s2) | m_processor_v_abort(c_p0, s2) | node48(c_p0, s2) | node47(c_p0, s2) | (~m_processor_v_waiting(c_p0, s3)) | (~m_processor_v_CMD(c_p0, s2, c_response)) | (~node53(c_p0, s2, s3)))),
% 50.82/33.45 inference(rewrite,[status(thm)],[])).
% 50.82/33.45 tff(22352,plain,
% 50.82/33.45 ((m_processor_v_master(c_p0, s2) | m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | (~m_processor_v_waiting(c_p0, s3)) | node48(c_p0, s2) | (~node53(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_response))) <=> (m_processor_v_master(c_p0, s2) | m_processor_v_abort(c_p0, s2) | node48(c_p0, s2) | node47(c_p0, s2) | (~m_processor_v_waiting(c_p0, s3)) | (~m_processor_v_CMD(c_p0, s2, c_response)) | (~node53(c_p0, s2, s3)))),
% 50.82/33.45 inference(rewrite,[status(thm)],[])).
% 50.82/33.45 tff(22353,plain,
% 50.82/33.45 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~node53(I0, X, Y)) | (~m_processor_v_CMD(I0, X, c_response)))) | (m_processor_v_master(c_p0, s2) | m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | (~m_processor_v_waiting(c_p0, s3)) | node48(c_p0, s2) | (~node53(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_response)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~node53(I0, X, Y)) | (~m_processor_v_CMD(I0, X, c_response)))) | (m_processor_v_master(c_p0, s2) | m_processor_v_abort(c_p0, s2) | node48(c_p0, s2) | node47(c_p0, s2) | (~m_processor_v_waiting(c_p0, s3)) | (~m_processor_v_CMD(c_p0, s2, c_response)) | (~node53(c_p0, s2, s3))))),
% 50.82/33.45 inference(monotonicity,[status(thm)],[22352])).
% 50.82/33.45 tff(22354,plain,
% 50.82/33.45 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~node53(I0, X, Y)) | (~m_processor_v_CMD(I0, X, c_response)))) | (m_processor_v_master(c_p0, s2) | m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | (~m_processor_v_waiting(c_p0, s3)) | node48(c_p0, s2) | (~node53(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_response)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~node53(I0, X, Y)) | (~m_processor_v_CMD(I0, X, c_response)))) | m_processor_v_master(c_p0, s2) | m_processor_v_abort(c_p0, s2) | node48(c_p0, s2) | node47(c_p0, s2) | (~m_processor_v_waiting(c_p0, s3)) | (~m_processor_v_CMD(c_p0, s2, c_response)) | (~node53(c_p0, s2, s3)))),
% 50.82/33.45 inference(transitivity,[status(thm)],[22353, 22351])).
% 50.82/33.45 tff(22355,plain,
% 50.82/33.45 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~node53(I0, X, Y)) | (~m_processor_v_CMD(I0, X, c_response)))) | (m_processor_v_master(c_p0, s2) | m_processor_v_abort(c_p0, s2) | node47(c_p0, s2) | (~m_processor_v_waiting(c_p0, s3)) | node48(c_p0, s2) | (~node53(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_response)))),
% 50.82/33.45 inference(quant_inst,[status(thm)],[])).
% 50.82/33.45 tff(22356,plain,
% 50.82/33.45 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~node53(I0, X, Y)) | (~m_processor_v_CMD(I0, X, c_response)))) | m_processor_v_master(c_p0, s2) | m_processor_v_abort(c_p0, s2) | node48(c_p0, s2) | node47(c_p0, s2) | (~m_processor_v_waiting(c_p0, s3)) | (~m_processor_v_CMD(c_p0, s2, c_response)) | (~node53(c_p0, s2, s3))),
% 50.82/33.45 inference(modus_ponens,[status(thm)],[22355, 22354])).
% 50.82/33.45 tff(22357,plain,
% 50.82/33.45 (m_processor_v_master(c_p0, s2) | m_processor_v_abort(c_p0, s2) | node48(c_p0, s2) | node47(c_p0, s2) | (~m_processor_v_waiting(c_p0, s3)) | (~m_processor_v_CMD(c_p0, s2, c_response))),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[22356, 22350, 5505])).
% 50.82/33.45 tff(22358,plain,
% 50.82/33.45 (~m_processor_v_CMD(c_p0, s2, c_response)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[22357, 22340, 2622, 20194, 20200, 21874])).
% 50.82/33.45 tff(22359,plain,
% 50.82/33.45 (~node49(c_p0, s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[20774, 11579, 22358])).
% 50.82/33.45 tff(22360,plain,
% 50.82/33.45 (~m_main_v_CMD(s2, c_write_h_resp_h_invalid)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[11340, 7953, 21858])).
% 50.82/33.45 tff(22361,plain,
% 50.82/33.45 (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[9188, 22360])).
% 50.82/33.45 tff(22362,plain,
% 50.82/33.45 (~node50(c_p0, s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[20783, 11598, 22361])).
% 50.82/33.45 tff(22363,plain,
% 50.82/33.45 (node52(c_p0, s2, s3)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[20791, 22362, 20194, 22359, 21874, 21861, 20200])).
% 50.82/33.45 tff(22364,plain,
% 50.82/33.45 (node6(s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[20725, 21871])).
% 50.82/33.45 tff(22365,plain,
% 50.82/33.45 (~m_processor_v_reply_h_waiting(c_p0, s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[20718, 22364])).
% 50.82/33.45 tff(22366,plain,
% 50.82/33.45 (~m_processor_v_waiting(c_p0, s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[20710, 22365])).
% 50.82/33.45 tff(22367,plain,
% 50.82/33.45 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s2) | (~m_processor_v_waiting(c_p0, s3)) | (~node52(c_p0, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | m_processor_v_waiting(c_p0, s2) | (~m_processor_v_waiting(c_p0, s3)) | (~node52(c_p0, s2, s3)))),
% 50.82/33.45 inference(rewrite,[status(thm)],[])).
% 50.82/33.45 tff(22368,plain,
% 50.82/33.45 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s2) | (~m_processor_v_waiting(c_p0, s3)) | (~node52(c_p0, s2, s3)))),
% 50.82/33.45 inference(quant_inst,[status(thm)],[])).
% 50.82/33.45 tff(22369,plain,
% 50.82/33.45 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | m_processor_v_waiting(c_p0, s2) | (~m_processor_v_waiting(c_p0, s3)) | (~node52(c_p0, s2, s3))),
% 50.82/33.45 inference(modus_ponens,[status(thm)],[22368, 22367])).
% 50.82/33.45 tff(22370,plain,
% 50.82/33.45 ($false),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[22369, 20180, 22366, 22340, 22363])).
% 50.82/33.45 tff(22371,plain,(m_processor_v_master(c_p0, s2) | node67(s8) | node67(s9) | node47(c_p1, s4) | m_processor_v_abort(c_p1, s4) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_state(c_p1, s5, c_shared)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.45 tff(22372,plain,
% 50.82/33.45 (m_processor_v_master(c_p0, s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[22371, 19853, 5949, 5932, 1425, 5, 21258, 19134, 19107])).
% 50.82/33.45 tff(22373,plain,
% 50.82/33.45 (~m_processor_v_master(c_p1, s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[5370, 794, 22372])).
% 50.82/33.45 tff(22374,plain,
% 50.82/33.45 (m_processor_v_state(c_p1, s2, c_owned)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[5484, 22373, 21258])).
% 50.82/33.45 tff(22375,plain,
% 50.82/33.45 (~m_processor_v_state(c_p1, s2, c_invalid)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[5490, 22374])).
% 50.82/33.45 tff(22376,plain,
% 50.82/33.45 (m_processor_v_state(c_p0, s2, c_invalid)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[5074, 22375])).
% 50.82/33.45 tff(22377,plain,
% 50.82/33.45 (~m_processor_v_state(c_p0, s2, c_owned)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[2779, 137, 22376])).
% 50.82/33.45 tff(22378,plain,
% 50.82/33.45 (m_processor_v_reply_h_owned(c_p1, s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[10322, 22373, 21258])).
% 50.82/33.45 tff(22379,plain,
% 50.82/33.45 (~node5(s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[10336, 10333, 22378])).
% 50.82/33.45 tff(22380,plain,
% 50.82/33.45 (m_main_v_REPLY_h_OWNED(s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[10199, 10196, 22379])).
% 50.82/33.45 tff(22381,plain,
% 50.82/33.45 (m_memory_v_REPLY_h_OWNED(c_m, s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[10560, 22380])).
% 50.82/33.45 tff(22382,plain,
% 50.82/33.45 (~node30(c_m, s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[10355, 22372, 22376])).
% 50.82/33.45 tff(22383,plain,
% 50.82/33.45 (~node67(s3)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[5653, 21258])).
% 50.82/33.45 tff(22384,plain,
% 50.82/33.45 (m_processor_v_state(c_p0, s4, c_owned)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[21380, 20049, 5, 5932, 5949, 22383, 21259])).
% 50.82/33.45 tff(22385,plain,
% 50.82/33.45 (~m_processor_v_state(c_p0, s4, c_invalid)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[1757, 22384])).
% 50.82/33.45 tff(22386,plain,
% 50.82/33.45 (~m_processor_v_state(c_p0, s4, c_shared)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[6888, 22384])).
% 50.82/33.45 tff(22387,plain,
% 50.82/33.45 (~m_memory_v_busy(c_m, s3)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[10556, 22376, 22386, 22385, 22382, 22381])).
% 50.82/33.45 tff(22388,plain,
% 50.82/33.45 (m_processor_v_snoop(c_p0, s3, c_invalid)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[22219, 22375])).
% 50.82/33.45 tff(22389,plain,
% 50.82/33.45 (~node48(c_p1, s4)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[21919, 19853, 5949, 52, 6553, 21259, 5932, 1425])).
% 50.82/33.45 tff(22390,plain,
% 50.82/33.45 (m_processor_v_reply_h_owned(c_p1, s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[10322, 5528, 2595])).
% 50.82/33.45 tff(22391,plain,
% 50.82/33.45 (~node5(s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[10336, 10333, 22390])).
% 50.82/33.45 tff(22392,plain,
% 50.82/33.45 (m_main_v_REPLY_h_OWNED(s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[10199, 10196, 22391])).
% 50.82/33.45 tff(22393,plain,
% 50.82/33.45 (m_memory_v_REPLY_h_OWNED(c_m, s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[10560, 22392])).
% 50.82/33.45 tff(22394,plain,
% 50.82/33.45 (m_processor_v_state(c_p1, s2, c_owned)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[5484, 5528, 2595])).
% 50.82/33.45 tff(22395,plain,
% 50.82/33.45 (~m_processor_v_state(c_p1, s2, c_invalid)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[5490, 22394])).
% 50.82/33.45 tff(22396,plain,
% 50.82/33.45 (m_processor_v_state(c_p0, s2, c_invalid)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[5074, 22395])).
% 50.82/33.45 tff(22397,plain,
% 50.82/33.45 (~node16(s4)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[12622, 12881])).
% 50.82/33.45 tff(22398,plain,
% 50.82/33.45 (~m_processor_v_master(c_p2, s4)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[1550, 22397])).
% 50.82/33.45 tff(22399,plain,
% 50.82/33.45 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[1582, 22398])).
% 50.82/33.45 tff(22400,plain,
% 50.82/33.45 (~m_processor_v_master(c_p0, s4)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[1435, 794, 12881])).
% 50.82/33.45 tff(22401,plain,
% 50.82/33.45 (m_processor_v_cmd(c_p0, s4, c_idle)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[12616, 22400])).
% 50.82/33.45 tff(22402,plain,
% 50.82/33.45 (~node17(s4)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[6871, 12881])).
% 50.82/33.45 tff(22403,plain,
% 50.82/33.45 (~m_memory_v_master(c_m, s4)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[1295, 22402])).
% 50.82/33.45 tff(22404,plain,
% 50.82/33.45 (~node29(c_m, s4)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[1310, 22403])).
% 50.82/33.45 tff(22405,plain,
% 50.82/33.45 (m_memory_v_cmd(c_m, s4, c_idle)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[1325, 22404])).
% 50.82/33.45 tff(22406,plain,
% 50.82/33.45 (~node9(s4)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[12703, 3443, 1498])).
% 50.82/33.45 tff(22407,plain,
% 50.82/33.45 (node10(s4)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[12714, 22406, 22405, 22401, 22399])).
% 50.82/33.45 tff(22408,plain,
% 50.82/33.45 (m_processor_v_state(c_p0, s3, c_owned)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[21847, 22407, 19853, 1425, 559, 160, 12881, 5932, 5949, 5668, 5667, 2595])).
% 50.82/33.45 tff(22409,plain,
% 50.82/33.45 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[2665, 137, 22408])).
% 50.82/33.45 tff(22410,plain,
% 50.82/33.45 (~node32(c_p0, s2, s3)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[5496, 22409, 22396])).
% 50.82/33.45 tff(22411,plain,
% 50.82/33.45 (~m_processor_v_abort(c_p0, s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[2704, 22410])).
% 50.82/33.45 tff(22412,plain,
% 50.82/33.45 (node60(c_p0, s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[10475, 22411])).
% 50.82/33.45 tff(22413,plain,
% 50.82/33.45 (~m_processor_v_REPLY_h_STALL(c_p0, s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[10468, 22412])).
% 50.82/33.45 tff(22414,plain,
% 50.82/33.45 (~m_main_v_REPLY_h_STALL(s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[10461, 22413])).
% 50.82/33.45 tff(22415,plain,
% 50.82/33.45 (node7(s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[9916, 22414])).
% 50.82/33.45 tff(22416,plain,
% 50.82/33.45 (~m_memory_v_reply_h_stall(c_m, s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[9924, 22415])).
% 50.82/33.45 tff(22417,plain,
% 50.82/33.45 (~m_processor_v_state(c_p0, s2, c_owned)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[2779, 137, 22396])).
% 50.82/33.45 tff(22418,plain,
% 50.82/33.45 (~m_processor_v_state(c_p0, s2, c_shared)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[8392, 22396])).
% 50.82/33.45 tff(22419,plain,
% 50.82/33.45 (node34(c_p0, s2, s3)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[9276, 22409, 22418, 22417])).
% 50.82/33.45 tff(22420,plain,
% 50.82/33.45 (~m_processor_v_state(c_p0, s3, c_shared)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[2661, 22408])).
% 50.82/33.45 tff(22421,plain,
% 50.82/33.45 (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[9214, 416, 22420, 22419])).
% 50.82/33.45 tff(22422,plain,
% 50.82/33.45 (~m_main_v_CMD(s2, c_read_h_shared)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[5526, 22421])).
% 50.82/33.45 tff(22423,plain,
% 50.82/33.45 (m_main_v_CMD(s2, c_read_h_owned)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[5621, 22422, 5499, 22396])).
% 50.82/33.45 tff(22424,plain,
% 50.82/33.45 (m_memory_v_CMD(c_m, s2, c_read_h_owned)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[9899, 22423])).
% 50.82/33.45 tff(22425,plain,
% 50.82/33.45 (~node30(c_m, s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[9907, 22424])).
% 50.82/33.45 tff(22426,plain,
% 50.82/33.45 (~m_memory_v_busy(c_m, s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[9933, 22425, 22416])).
% 50.82/33.45 tff(22427,plain,
% 50.82/33.45 (~m_memory_v_busy(c_m, s3)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[10452, 22426, 22393])).
% 50.82/33.45 tff(22428,plain,
% 50.82/33.45 (~node29(c_m, s3)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[9855, 22427])).
% 50.82/33.45 tff(22429,plain,
% 50.82/33.45 (m_memory_v_cmd(c_m, s3, c_idle)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[9510, 22428])).
% 50.82/33.45 tff(22430,plain,
% 50.82/33.45 (~node51(c_p1, s4)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[21227, 16894, 12881])).
% 50.82/33.45 tff(22431,plain,
% 50.82/33.45 (~node49(c_p1, s4)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[21217, 16755, 12881])).
% 50.82/33.45 tff(22432,plain,
% 50.82/33.45 (~node48(c_p1, s4)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[21919, 19853, 5949, 5668, 5667, 2621, 5932, 1425])).
% 50.82/33.45 tff(22433,plain,
% 50.82/33.45 (~node50(c_p1, s4)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[21223, 16866, 12881])).
% 50.82/33.45 tff(22434,plain,
% 50.82/33.45 (node52(c_p1, s4, s5)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[19972, 22433, 22432, 22431, 19853, 1425, 22430])).
% 50.82/33.45 tff(22435,plain,
% 50.82/33.45 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (m_processor_v_cmd(c_p1, s4, c_idle) | (~node10(s4)) | (~m_main_v_CMD(s4, c_idle)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s4, c_idle) | (~node10(s4)) | (~m_main_v_CMD(s4, c_idle)))),
% 50.82/33.45 inference(rewrite,[status(thm)],[])).
% 50.82/33.45 tff(22436,plain,
% 50.82/33.45 (((~m_main_v_CMD(s4, c_idle)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_idle)) <=> (m_processor_v_cmd(c_p1, s4, c_idle) | (~node10(s4)) | (~m_main_v_CMD(s4, c_idle)))),
% 50.82/33.45 inference(rewrite,[status(thm)],[])).
% 50.82/33.45 tff(22437,plain,
% 50.82/33.45 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_idle)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_idle))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (m_processor_v_cmd(c_p1, s4, c_idle) | (~node10(s4)) | (~m_main_v_CMD(s4, c_idle))))),
% 50.82/33.45 inference(monotonicity,[status(thm)],[22436])).
% 50.82/33.45 tff(22438,plain,
% 50.82/33.45 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_idle)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_idle))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s4, c_idle) | (~node10(s4)) | (~m_main_v_CMD(s4, c_idle)))),
% 50.82/33.45 inference(transitivity,[status(thm)],[22437, 22435])).
% 50.82/33.45 tff(22439,plain,
% 50.82/33.45 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_idle)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_idle))),
% 50.82/33.45 inference(quant_inst,[status(thm)],[])).
% 50.82/33.45 tff(22440,plain,
% 50.82/33.45 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s4, c_idle) | (~node10(s4)) | (~m_main_v_CMD(s4, c_idle))),
% 50.82/33.45 inference(modus_ponens,[status(thm)],[22439, 22438])).
% 50.82/33.45 tff(22441,plain,
% 50.82/33.45 ((~node10(s4)) | (~m_main_v_CMD(s4, c_idle))),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[22440, 3512, 1498])).
% 50.82/33.45 tff(22442,plain,
% 50.82/33.45 (~m_main_v_CMD(s4, c_idle)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[22441, 22407])).
% 50.82/33.45 tff(22443,plain,
% 50.82/33.45 (node34(c_p1, s4, s5)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[17176, 12881, 1425])).
% 50.82/33.45 tff(22444,plain,
% 50.82/33.45 (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[17497, 416, 160, 22443])).
% 50.82/33.45 tff(22445,plain,
% 50.82/33.45 (~m_main_v_CMD(s4, c_read_h_shared)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[17681, 22444])).
% 50.82/33.45 tff(22446,plain,
% 50.82/33.45 (~node42(c_p1, s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[8704, 8170, 5528])).
% 50.82/33.45 tff(22447,plain,
% 50.82/33.45 (~node43(c_p1, s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[8700, 8159, 5528])).
% 50.82/33.45 tff(22448,plain,
% 50.82/33.45 (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[8791, 22422])).
% 50.82/33.45 tff(22449,plain,
% 50.82/33.45 (~node41(c_p1, s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[8731, 8378, 22448])).
% 50.82/33.45 tff(22450,plain,
% 50.82/33.45 (~node40(c_p1, s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[8784, 8367, 22448])).
% 50.82/33.45 tff(22451,assumption,(~node42(c_p1, s2)), introduced(assumption)).
% 50.82/33.45 tff(22452,assumption,(~node43(c_p1, s2)), introduced(assumption)).
% 50.82/33.45 tff(22453,plain,
% 50.82/33.45 (m_processor_v_abort(c_p1, s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[8641, 8588, 8696, 8697, 22452, 22451])).
% 50.82/33.45 tff(22454,plain,
% 50.82/33.45 ($false),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[8613, 22453, 8600])).
% 50.82/33.45 tff(22455,plain,(m_processor_v_snoop(c_p1, s3, c_invalid) | node40(c_p1, s2) | node41(c_p1, s2) | node43(c_p1, s2) | node42(c_p1, s2)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.45 tff(22456,plain,
% 50.82/33.45 (m_processor_v_snoop(c_p1, s3, c_invalid)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[22455, 22450, 22449, 22447, 22446])).
% 50.82/33.45 tff(22457,plain,
% 50.82/33.45 (~node33(c_p0, s2, s3)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[9205, 830, 22417, 22408])).
% 50.82/33.45 tff(22458,plain,
% 50.82/33.45 (~m_processor_v_REPLY_h_WAITING(c_p0, s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[19648, 22409, 22396, 22420, 22457, 22417])).
% 50.82/33.45 tff(22459,plain,
% 50.82/33.45 (~m_main_v_REPLY_h_WAITING(s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[12384, 22458])).
% 50.82/33.45 tff(22460,plain,
% 50.82/33.45 (node6(s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[20725, 22459])).
% 50.82/33.45 tff(22461,assumption,(m_processor_v_reply_h_waiting(c_p1, s2)), introduced(assumption)).
% 50.82/33.45 tff(22462,plain,
% 50.82/33.45 (((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | ((~node6(s2)) | (~m_processor_v_reply_h_waiting(c_p1, s2)))) <=> ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | (~node6(s2)) | (~m_processor_v_reply_h_waiting(c_p1, s2)))),
% 50.82/33.45 inference(rewrite,[status(thm)],[])).
% 50.82/33.45 tff(22463,plain,
% 50.82/33.45 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | ((~node6(s2)) | (~m_processor_v_reply_h_waiting(c_p1, s2)))),
% 50.82/33.45 inference(quant_inst,[status(thm)],[])).
% 50.82/33.45 tff(22464,plain,
% 50.82/33.45 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | (~node6(s2)) | (~m_processor_v_reply_h_waiting(c_p1, s2))),
% 50.82/33.45 inference(modus_ponens,[status(thm)],[22463, 22462])).
% 50.82/33.45 tff(22465,plain,
% 50.82/33.45 ($false),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[22464, 8551, 20712, 22461])).
% 50.82/33.45 tff(22466,plain,((~m_processor_v_reply_h_waiting(c_p1, s2)) | (~node6(s2))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.45 tff(22467,plain,
% 50.82/33.45 (~m_processor_v_reply_h_waiting(c_p1, s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[22466, 22460])).
% 50.82/33.45 tff(22468,plain,
% 50.82/33.45 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p1, s2)) | m_processor_v_master(c_p1, s2) | m_processor_v_reply_h_waiting(c_p1, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s2)) | m_processor_v_master(c_p1, s2) | m_processor_v_reply_h_waiting(c_p1, s2))),
% 50.82/33.45 inference(rewrite,[status(thm)],[])).
% 50.82/33.45 tff(22469,plain,
% 50.82/33.45 ((m_processor_v_master(c_p1, s2) | (~m_processor_v_waiting(c_p1, s2)) | m_processor_v_reply_h_waiting(c_p1, s2)) <=> ((~m_processor_v_waiting(c_p1, s2)) | m_processor_v_master(c_p1, s2) | m_processor_v_reply_h_waiting(c_p1, s2))),
% 50.82/33.45 inference(rewrite,[status(thm)],[])).
% 50.82/33.45 tff(22470,plain,
% 50.82/33.45 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s2) | (~m_processor_v_waiting(c_p1, s2)) | m_processor_v_reply_h_waiting(c_p1, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p1, s2)) | m_processor_v_master(c_p1, s2) | m_processor_v_reply_h_waiting(c_p1, s2)))),
% 50.82/33.45 inference(monotonicity,[status(thm)],[22469])).
% 50.82/33.45 tff(22471,plain,
% 50.82/33.45 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s2) | (~m_processor_v_waiting(c_p1, s2)) | m_processor_v_reply_h_waiting(c_p1, s2))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s2)) | m_processor_v_master(c_p1, s2) | m_processor_v_reply_h_waiting(c_p1, s2))),
% 50.82/33.45 inference(transitivity,[status(thm)],[22470, 22468])).
% 50.82/33.45 tff(22472,plain,
% 50.82/33.45 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s2) | (~m_processor_v_waiting(c_p1, s2)) | m_processor_v_reply_h_waiting(c_p1, s2))),
% 50.82/33.45 inference(quant_inst,[status(thm)],[])).
% 50.82/33.45 tff(22473,plain,
% 50.82/33.45 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s2)) | m_processor_v_master(c_p1, s2) | m_processor_v_reply_h_waiting(c_p1, s2)),
% 50.82/33.45 inference(modus_ponens,[status(thm)],[22472, 22471])).
% 50.82/33.45 tff(22474,plain,
% 50.82/33.45 ((~m_processor_v_waiting(c_p1, s2)) | m_processor_v_reply_h_waiting(c_p1, s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[22473, 2296, 5528])).
% 50.82/33.45 tff(22475,plain,
% 50.82/33.45 (~m_processor_v_waiting(c_p1, s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[22474, 22467])).
% 50.82/33.45 tff(22476,plain,
% 50.82/33.45 (~m_main_v_CMD(s2, c_write_h_resp_h_invalid)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[11340, 7953, 22423])).
% 50.82/33.45 tff(22477,plain,
% 50.82/33.45 (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[9014, 1260, 5290, 22476])).
% 50.82/33.45 tff(22478,plain,
% 50.82/33.45 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | (~node50(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | (~node50(c_p1, s2)))),
% 50.82/33.45 inference(rewrite,[status(thm)],[])).
% 50.82/33.45 tff(22479,plain,
% 50.82/33.45 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | (~node50(c_p1, s2)))),
% 50.82/33.45 inference(quant_inst,[status(thm)],[])).
% 50.82/33.45 tff(22480,plain,
% 50.82/33.45 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid) | (~node50(c_p1, s2))),
% 50.82/33.45 inference(modus_ponens,[status(thm)],[22479, 22478])).
% 50.82/33.45 tff(22481,plain,
% 50.82/33.45 (~node50(c_p1, s2)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[22480, 11598, 22477])).
% 50.82/33.45 tff(22482,plain,
% 50.82/33.45 (~m_main_v_CMD(s2, c_write_h_resp_h_shared)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[16614, 7940, 22423])).
% 50.82/33.45 tff(22483,assumption,(m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.82/33.45 tff(22484,plain,
% 50.82/33.45 ($false),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[9018, 1260, 5290, 9005, 22483])).
% 50.82/33.45 tff(22485,plain,((~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)) | m_main_v_CMD(s2, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.45 tff(22486,plain,
% 50.82/33.45 (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)),
% 50.82/33.45 inference(unit_resolution,[status(thm)],[22485, 22482])).
% 50.82/33.45 tff(22487,plain,
% 50.82/33.45 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared) | (~node51(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared) | (~node51(c_p1, s2)))),
% 50.82/33.45 inference(rewrite,[status(thm)],[])).
% 50.82/33.45 tff(22488,plain,
% 50.82/33.45 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared) | (~node51(c_p1, s2)))),
% 50.82/33.45 inference(quant_inst,[status(thm)],[])).
% 50.82/33.45 tff(22489,plain,
% 50.82/33.45 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared) | (~node51(c_p1, s2))),
% 50.82/33.45 inference(modus_ponens,[status(thm)],[22488, 22487])).
% 50.82/33.45 tff(22490,plain,
% 50.82/33.46 (~node51(c_p1, s2)),
% 50.82/33.46 inference(unit_resolution,[status(thm)],[22489, 11549, 22486])).
% 50.82/33.46 tff(22491,plain,
% 50.82/33.46 (~node61(c_p1, s2)),
% 50.82/33.46 inference(unit_resolution,[status(thm)],[12395, 22459])).
% 50.82/33.46 tff(22492,plain,
% 50.82/33.46 (~m_processor_v_REPLY_h_STALL(c_p1, s2)),
% 50.82/33.46 inference(unit_resolution,[status(thm)],[12354, 22414])).
% 50.82/33.46 tff(22493,plain,
% 50.82/33.46 (~m_processor_v_abort(c_p1, s2)),
% 50.82/33.46 inference(unit_resolution,[status(thm)],[12403, 22492, 22491])).
% 50.82/33.46 tff(22494,plain,
% 50.82/33.46 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p1, s2) | (~node48(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p1, s2) | (~node48(c_p1, s2)))),
% 50.82/33.46 inference(rewrite,[status(thm)],[])).
% 50.82/33.46 tff(22495,plain,
% 50.82/33.46 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p1, s2) | (~node48(c_p1, s2)))),
% 50.82/33.46 inference(quant_inst,[status(thm)],[])).
% 50.82/33.46 tff(22496,plain,
% 50.82/33.46 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p1, s2) | (~node48(c_p1, s2))),
% 50.82/33.46 inference(modus_ponens,[status(thm)],[22495, 22494])).
% 50.82/33.46 tff(22497,plain,
% 50.82/33.46 (~node48(c_p1, s2)),
% 50.82/33.46 inference(unit_resolution,[status(thm)],[22496, 11562, 5528])).
% 50.82/33.46 tff(22498,plain,
% 50.82/33.46 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p1, s2) | (~node47(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p1, s2) | (~node47(c_p1, s2)))),
% 50.82/33.46 inference(rewrite,[status(thm)],[])).
% 50.82/33.46 tff(22499,plain,
% 50.82/33.46 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p1, s2) | (~node47(c_p1, s2)))),
% 50.82/33.46 inference(quant_inst,[status(thm)],[])).
% 50.82/33.46 tff(22500,plain,
% 50.82/33.46 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p1, s2) | (~node47(c_p1, s2))),
% 50.82/33.46 inference(modus_ponens,[status(thm)],[22499, 22498])).
% 50.82/33.46 tff(22501,plain,
% 50.82/33.46 (~node47(c_p1, s2)),
% 50.82/33.46 inference(unit_resolution,[status(thm)],[22500, 12108, 5528])).
% 50.82/33.46 tff(22502,plain,
% 50.82/33.46 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s2, c_read_h_owned)) | (~m_main_v_CMD(s2, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s2, c_read_h_owned)) | (~m_main_v_CMD(s2, c_response)))),
% 50.82/33.46 inference(rewrite,[status(thm)],[])).
% 50.82/33.46 tff(22503,plain,
% 50.82/33.46 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s2, c_read_h_owned)) | (~m_main_v_CMD(s2, c_response)))),
% 50.82/33.46 inference(quant_inst,[status(thm)],[])).
% 50.82/33.46 tff(22504,plain,
% 50.82/33.46 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s2, c_read_h_owned)) | (~m_main_v_CMD(s2, c_response))),
% 50.82/33.46 inference(modus_ponens,[status(thm)],[22503, 22502])).
% 50.82/33.46 tff(22505,plain,
% 50.82/33.46 (~m_main_v_CMD(s2, c_response)),
% 50.82/33.46 inference(unit_resolution,[status(thm)],[22504, 12316, 22423])).
% 50.82/33.46 tff(22506,plain,
% 50.82/33.46 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s2, c_response) | (~node3(s2)) | (~m_processor_v_CMD(c_p1, s2, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s2, c_response) | (~node3(s2)) | (~m_processor_v_CMD(c_p1, s2, c_response)))),
% 50.82/33.46 inference(rewrite,[status(thm)],[])).
% 50.82/33.46 tff(22507,plain,
% 50.82/33.46 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s2, c_response) | (~node3(s2)) | (~m_processor_v_CMD(c_p1, s2, c_response)))),
% 50.82/33.46 inference(quant_inst,[status(thm)],[])).
% 50.82/33.46 tff(22508,plain,
% 50.82/33.46 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s2, c_response) | (~node3(s2)) | (~m_processor_v_CMD(c_p1, s2, c_response))),
% 50.82/33.46 inference(modus_ponens,[status(thm)],[22507, 22506])).
% 50.82/33.46 tff(22509,plain,
% 50.82/33.46 (~m_processor_v_CMD(c_p1, s2, c_response)),
% 50.82/33.46 inference(unit_resolution,[status(thm)],[22508, 1260, 5290, 22505])).
% 50.82/33.46 tff(22510,plain,
% 50.82/33.46 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | ((~node49(c_p1, s2)) | m_processor_v_CMD(c_p1, s2, c_response))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p1, s2)) | m_processor_v_CMD(c_p1, s2, c_response))),
% 50.82/33.46 inference(rewrite,[status(thm)],[])).
% 50.82/33.46 tff(22511,plain,
% 50.82/33.46 ((m_processor_v_CMD(c_p1, s2, c_response) | (~node49(c_p1, s2))) <=> ((~node49(c_p1, s2)) | m_processor_v_CMD(c_p1, s2, c_response))),
% 50.82/33.46 inference(rewrite,[status(thm)],[])).
% 50.82/33.46 tff(22512,plain,
% 50.82/33.46 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p1, s2, c_response) | (~node49(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | ((~node49(c_p1, s2)) | m_processor_v_CMD(c_p1, s2, c_response)))),
% 50.82/33.46 inference(monotonicity,[status(thm)],[22511])).
% 50.82/33.46 tff(22513,plain,
% 50.82/33.46 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p1, s2, c_response) | (~node49(c_p1, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p1, s2)) | m_processor_v_CMD(c_p1, s2, c_response))),
% 50.82/33.46 inference(transitivity,[status(thm)],[22512, 22510])).
% 50.82/33.46 tff(22514,plain,
% 50.82/33.46 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p1, s2, c_response) | (~node49(c_p1, s2)))),
% 50.82/33.46 inference(quant_inst,[status(thm)],[])).
% 50.82/33.46 tff(22515,plain,
% 50.82/33.46 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p1, s2)) | m_processor_v_CMD(c_p1, s2, c_response)),
% 50.82/33.46 inference(modus_ponens,[status(thm)],[22514, 22513])).
% 50.82/33.46 tff(22516,plain,
% 50.82/33.46 (~node49(c_p1, s2)),
% 50.82/33.46 inference(unit_resolution,[status(thm)],[22515, 11579, 22509])).
% 50.82/33.46 tff(22517,plain,
% 50.82/33.46 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s2) | node48(c_p1, s2) | node47(c_p1, s2) | node50(c_p1, s2) | node49(c_p1, s2) | node51(c_p1, s2) | node52(c_p1, s2, s3) | (~node53(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p1, s2) | node48(c_p1, s2) | node47(c_p1, s2) | node50(c_p1, s2) | node49(c_p1, s2) | node51(c_p1, s2) | node52(c_p1, s2, s3) | (~node53(c_p1, s2, s3)))),
% 50.82/33.46 inference(rewrite,[status(thm)],[])).
% 50.82/33.46 tff(22518,plain,
% 50.82/33.46 ((m_processor_v_abort(c_p1, s2) | node47(c_p1, s2) | node48(c_p1, s2) | node49(c_p1, s2) | node50(c_p1, s2) | node51(c_p1, s2) | node52(c_p1, s2, s3) | (~node53(c_p1, s2, s3))) <=> (m_processor_v_abort(c_p1, s2) | node48(c_p1, s2) | node47(c_p1, s2) | node50(c_p1, s2) | node49(c_p1, s2) | node51(c_p1, s2) | node52(c_p1, s2, s3) | (~node53(c_p1, s2, s3)))),
% 50.82/33.46 inference(rewrite,[status(thm)],[])).
% 50.82/33.46 tff(22519,plain,
% 50.82/33.46 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s2) | node47(c_p1, s2) | node48(c_p1, s2) | node49(c_p1, s2) | node50(c_p1, s2) | node51(c_p1, s2) | node52(c_p1, s2, s3) | (~node53(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s2) | node48(c_p1, s2) | node47(c_p1, s2) | node50(c_p1, s2) | node49(c_p1, s2) | node51(c_p1, s2) | node52(c_p1, s2, s3) | (~node53(c_p1, s2, s3))))),
% 50.82/33.46 inference(monotonicity,[status(thm)],[22518])).
% 50.82/33.46 tff(22520,plain,
% 50.82/33.46 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s2) | node47(c_p1, s2) | node48(c_p1, s2) | node49(c_p1, s2) | node50(c_p1, s2) | node51(c_p1, s2) | node52(c_p1, s2, s3) | (~node53(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p1, s2) | node48(c_p1, s2) | node47(c_p1, s2) | node50(c_p1, s2) | node49(c_p1, s2) | node51(c_p1, s2) | node52(c_p1, s2, s3) | (~node53(c_p1, s2, s3)))),
% 50.82/33.46 inference(transitivity,[status(thm)],[22519, 22517])).
% 50.82/33.46 tff(22521,plain,
% 50.82/33.46 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s2) | node47(c_p1, s2) | node48(c_p1, s2) | node49(c_p1, s2) | node50(c_p1, s2) | node51(c_p1, s2) | node52(c_p1, s2, s3) | (~node53(c_p1, s2, s3)))),
% 50.82/33.46 inference(quant_inst,[status(thm)],[])).
% 50.82/33.46 tff(22522,plain,
% 50.82/33.46 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p1, s2) | node48(c_p1, s2) | node47(c_p1, s2) | node50(c_p1, s2) | node49(c_p1, s2) | node51(c_p1, s2) | node52(c_p1, s2, s3) | (~node53(c_p1, s2, s3))),
% 50.82/33.46 inference(modus_ponens,[status(thm)],[22521, 22520])).
% 50.82/33.46 tff(22523,plain,
% 50.82/33.46 (m_processor_v_abort(c_p1, s2) | node48(c_p1, s2) | node47(c_p1, s2) | node50(c_p1, s2) | node49(c_p1, s2) | node51(c_p1, s2) | node52(c_p1, s2, s3)),
% 50.82/33.46 inference(unit_resolution,[status(thm)],[22522, 11612, 5381])).
% 50.82/33.46 tff(22524,plain,
% 50.82/33.46 (node52(c_p1, s2, s3)),
% 50.82/33.46 inference(unit_resolution,[status(thm)],[22523, 22516, 22501, 22497, 22493, 22490, 22481])).
% 50.82/33.46 tff(22525,assumption,(node52(c_p1, s2, s3)), introduced(assumption)).
% 50.82/33.46 tff(22526,assumption,(~m_processor_v_waiting(c_p1, s2)), introduced(assumption)).
% 50.82/33.46 tff(22527,plain,
% 50.82/33.46 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s2) | (~m_processor_v_waiting(c_p1, s3)) | (~node52(c_p1, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | m_processor_v_waiting(c_p1, s2) | (~m_processor_v_waiting(c_p1, s3)) | (~node52(c_p1, s2, s3)))),
% 50.82/33.46 inference(rewrite,[status(thm)],[])).
% 50.82/33.46 tff(22528,plain,
% 50.82/33.46 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s2) | (~m_processor_v_waiting(c_p1, s3)) | (~node52(c_p1, s2, s3)))),
% 50.82/33.46 inference(quant_inst,[status(thm)],[])).
% 50.82/33.46 tff(22529,plain,
% 50.82/33.46 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | m_processor_v_waiting(c_p1, s2) | (~m_processor_v_waiting(c_p1, s3)) | (~node52(c_p1, s2, s3))),
% 50.82/33.46 inference(modus_ponens,[status(thm)],[22528, 22527])).
% 50.82/33.46 tff(22530,plain,
% 50.82/33.46 ($false),
% 50.82/33.46 inference(unit_resolution,[status(thm)],[22529, 20180, 12046, 22526, 22525])).
% 50.82/33.46 tff(22531,plain,((~node52(c_p1, s2, s3)) | (~m_processor_v_waiting(c_p1, s3)) | m_processor_v_waiting(c_p1, s2)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.46 tff(22532,plain,
% 50.82/33.46 (~m_processor_v_waiting(c_p1, s3)),
% 50.82/33.46 inference(unit_resolution,[status(thm)],[22531, 22524, 22475])).
% 50.82/33.46 tff(22533,plain,
% 50.82/33.46 (m_processor_v_cmd(c_p1, s3, c_write_h_invalid)),
% 50.82/33.46 inference(unit_resolution,[status(thm)],[10757, 6711, 10644, 10640, 11796, 12045, 12040])).
% 50.82/33.46 tff(22534,plain,
% 50.82/33.46 (~m_processor_v_cmd(c_p1, s3, c_idle)),
% 50.82/33.46 inference(unit_resolution,[status(thm)],[12098, 3630, 22533])).
% 50.82/33.46 tff(22535,plain,
% 50.82/33.46 (~m_processor_v_waiting(c_p1, s5)),
% 50.82/33.46 inference(unit_resolution,[status(thm)],[22264, 6709, 19527])).
% 50.82/33.46 tff(22536,plain,
% 50.82/33.46 (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 50.82/33.46 inference(unit_resolution,[status(thm)],[19259, 22535, 19853, 1432, 1425])).
% 50.82/33.46 tff(22537,plain,
% 50.82/33.46 (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)),
% 50.82/33.46 inference(unit_resolution,[status(thm)],[17244, 22536, 12869, 559, 21815])).
% 50.82/33.46 tff(22538,plain,
% 50.82/33.46 (~m_main_v_CMD(s4, c_read_h_owned)),
% 50.82/33.46 inference(unit_resolution,[status(thm)],[1953, 22536])).
% 50.82/33.46 tff(22539,assumption,(m_processor_v_cmd(c_p1, s4, c_read_h_shared)), introduced(assumption)).
% 50.82/33.46 tff(22540,plain,
% 50.82/33.46 (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)),
% 50.82/33.46 inference(unit_resolution,[status(thm)],[17226, 11648, 22539])).
% 50.82/33.46 tff(22541,plain,
% 50.82/33.46 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (m_processor_v_cmd(c_p1, s4, c_write_h_invalid) | (~node10(s4)) | (~m_main_v_CMD(s4, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s4, c_write_h_invalid) | (~node10(s4)) | (~m_main_v_CMD(s4, c_write_h_invalid)))),
% 50.82/33.46 inference(rewrite,[status(thm)],[])).
% 50.82/33.46 tff(22542,plain,
% 50.82/33.46 (((~m_main_v_CMD(s4, c_write_h_invalid)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_write_h_invalid)) <=> (m_processor_v_cmd(c_p1, s4, c_write_h_invalid) | (~node10(s4)) | (~m_main_v_CMD(s4, c_write_h_invalid)))),
% 50.82/33.46 inference(rewrite,[status(thm)],[])).
% 50.82/33.46 tff(22543,plain,
% 50.82/33.46 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_write_h_invalid)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (m_processor_v_cmd(c_p1, s4, c_write_h_invalid) | (~node10(s4)) | (~m_main_v_CMD(s4, c_write_h_invalid))))),
% 50.82/33.46 inference(monotonicity,[status(thm)],[22542])).
% 50.82/33.46 tff(22544,plain,
% 50.82/33.46 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_write_h_invalid)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s4, c_write_h_invalid) | (~node10(s4)) | (~m_main_v_CMD(s4, c_write_h_invalid)))),
% 50.82/33.46 inference(transitivity,[status(thm)],[22543, 22541])).
% 50.82/33.46 tff(22545,plain,
% 50.82/33.46 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_write_h_invalid)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_write_h_invalid))),
% 50.82/33.46 inference(quant_inst,[status(thm)],[])).
% 50.82/33.46 tff(22546,plain,
% 50.82/33.46 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s4, c_write_h_invalid) | (~node10(s4)) | (~m_main_v_CMD(s4, c_write_h_invalid))),
% 50.82/33.46 inference(modus_ponens,[status(thm)],[22545, 22544])).
% 50.82/33.46 tff(22547,plain,
% 50.82/33.46 (~m_main_v_CMD(s4, c_write_h_invalid)),
% 50.82/33.46 inference(unit_resolution,[status(thm)],[22546, 3512, 22540, 12869])).
% 50.82/33.46 tff(22548,plain,
% 50.82/33.46 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_shared))) <=> ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_shared))))),
% 50.82/33.46 inference(bind,[status(th)],[])).
% 50.82/33.46 tff(22549,plain,
% 50.82/33.46 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 50.82/33.46 inference(quant_intro,[status(thm)],[22548])).
% 50.82/33.46 tff(22550,plain,
% 50.82/33.46 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 50.82/33.46 inference(rewrite,[status(thm)],[])).
% 50.82/33.46 tff(22551,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_12')).
% 50.82/33.46 tff(22552,plain,
% 50.82/33.46 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 50.82/33.46 inference(modus_ponens,[status(thm)],[22551, 22550])).
% 50.82/33.46 tff(22553,plain,(
% 50.82/33.46 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 50.82/33.46 inference(skolemize,[status(sab)],[22552])).
% 50.82/33.46 tff(22554,plain,
% 50.82/33.46 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))),
% 50.82/33.46 inference(modus_ponens,[status(thm)],[22553, 22549])).
% 50.82/33.46 tff(22555,plain,
% 50.82/33.46 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | ((~m_processor_v_cmd(c_p1, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | (~m_processor_v_cmd(c_p1, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_shared)))),
% 50.82/33.46 inference(rewrite,[status(thm)],[])).
% 50.82/33.46 tff(22556,plain,
% 50.82/33.46 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | ((~m_processor_v_cmd(c_p1, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_shared)))),
% 50.82/33.46 inference(quant_inst,[status(thm)],[])).
% 50.82/33.46 tff(22557,plain,
% 50.82/33.46 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | (~m_processor_v_cmd(c_p1, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_shared))),
% 50.82/33.46 inference(modus_ponens,[status(thm)],[22556, 22555])).
% 50.82/33.46 tff(22558,plain,
% 50.82/33.46 (~m_processor_v_cmd(c_p1, s4, c_write_h_shared)),
% 50.82/33.46 inference(unit_resolution,[status(thm)],[22557, 22554, 22539])).
% 50.82/33.46 tff(22559,plain,
% 50.82/33.46 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_write_h_shared) | (~m_main_v_CMD(s4, c_write_h_shared)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_write_h_shared) | (~m_main_v_CMD(s4, c_write_h_shared)))),
% 50.82/33.46 inference(rewrite,[status(thm)],[])).
% 50.82/33.46 tff(22560,plain,
% 50.82/33.46 (((~m_main_v_CMD(s4, c_write_h_shared)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_write_h_shared)) <=> ((~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_write_h_shared) | (~m_main_v_CMD(s4, c_write_h_shared)))),
% 50.82/33.46 inference(rewrite,[status(thm)],[])).
% 50.82/33.46 tff(22561,plain,
% 50.82/33.46 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_write_h_shared)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_write_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_write_h_shared) | (~m_main_v_CMD(s4, c_write_h_shared))))),
% 50.82/33.46 inference(monotonicity,[status(thm)],[22560])).
% 50.82/33.46 tff(22562,plain,
% 50.82/33.46 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_write_h_shared)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_write_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_write_h_shared) | (~m_main_v_CMD(s4, c_write_h_shared)))),
% 50.82/33.46 inference(transitivity,[status(thm)],[22561, 22559])).
% 50.82/33.46 tff(22563,plain,
% 50.82/33.46 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_write_h_shared)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_write_h_shared))),
% 50.82/33.46 inference(quant_inst,[status(thm)],[])).
% 50.82/33.46 tff(22564,plain,
% 50.82/33.46 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_write_h_shared) | (~m_main_v_CMD(s4, c_write_h_shared))),
% 50.82/33.46 inference(modus_ponens,[status(thm)],[22563, 22562])).
% 50.82/33.46 tff(22565,plain,
% 50.82/33.46 (~m_main_v_CMD(s4, c_write_h_shared)),
% 50.82/33.46 inference(unit_resolution,[status(thm)],[22564, 3512, 12869, 22558])).
% 50.82/33.46 tff(22566,plain,
% 50.82/33.46 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p1, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p1, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)))),
% 50.82/33.46 inference(rewrite,[status(thm)],[])).
% 50.82/33.46 tff(22567,plain,
% 50.82/33.46 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p1, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)))),
% 50.82/33.46 inference(quant_inst,[status(thm)],[])).
% 50.82/33.46 tff(22568,plain,
% 50.82/33.46 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p1, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared))),
% 50.82/33.46 inference(modus_ponens,[status(thm)],[22567, 22566])).
% 50.82/33.46 tff(22569,plain,
% 50.82/33.46 (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)),
% 50.82/33.46 inference(unit_resolution,[status(thm)],[22568, 16773, 22539])).
% 50.82/33.46 tff(22570,plain,
% 50.82/33.46 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared) | (~node10(s4)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared) | (~node10(s4)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)))),
% 50.82/33.46 inference(rewrite,[status(thm)],[])).
% 50.82/33.46 tff(22571,plain,
% 50.82/33.46 (((~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)) <=> (m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared) | (~node10(s4)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)))),
% 50.82/33.46 inference(rewrite,[status(thm)],[])).
% 50.82/33.46 tff(22572,plain,
% 50.82/33.46 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared) | (~node10(s4)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared))))),
% 50.82/33.46 inference(monotonicity,[status(thm)],[22571])).
% 50.82/33.46 tff(22573,plain,
% 50.82/33.46 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared) | (~node10(s4)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared)))),
% 50.82/33.46 inference(transitivity,[status(thm)],[22572, 22570])).
% 50.82/33.46 tff(22574,plain,
% 50.82/33.46 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_write_h_resp_h_shared)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared))),
% 50.82/33.46 inference(quant_inst,[status(thm)],[])).
% 50.82/33.46 tff(22575,plain,
% 50.82/33.46 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared) | (~node10(s4)) | (~m_main_v_CMD(s4, c_write_h_resp_h_shared))),
% 50.82/33.46 inference(modus_ponens,[status(thm)],[22574, 22573])).
% 50.82/33.46 tff(22576,plain,
% 50.82/33.46 (~m_main_v_CMD(s4, c_write_h_resp_h_shared)),
% 50.82/33.46 inference(unit_resolution,[status(thm)],[22575, 3512, 22569, 12869])).
% 50.82/33.46 tff(22577,plain,
% 50.82/33.46 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate))) <=> ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate))))),
% 50.82/33.47 inference(bind,[status(th)],[])).
% 50.82/33.47 tff(22578,plain,
% 50.82/33.47 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate)))),
% 50.82/33.47 inference(quant_intro,[status(thm)],[22577])).
% 50.82/33.47 tff(22579,plain,
% 50.82/33.47 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate)))),
% 50.82/33.47 inference(rewrite,[status(thm)],[])).
% 50.82/33.47 tff(22580,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_15')).
% 50.82/33.47 tff(22581,plain,
% 50.82/33.47 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate)))),
% 50.82/33.47 inference(modus_ponens,[status(thm)],[22580, 22579])).
% 50.82/33.47 tff(22582,plain,(
% 50.82/33.47 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate)))),
% 50.82/33.47 inference(skolemize,[status(sab)],[22581])).
% 50.82/33.47 tff(22583,plain,
% 50.82/33.47 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate)))),
% 50.82/33.47 inference(modus_ponens,[status(thm)],[22582, 22578])).
% 50.82/33.47 tff(22584,plain,
% 50.82/33.47 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | ((~m_processor_v_cmd(c_p1, s4, c_invalidate)) | (~m_processor_v_cmd(c_p1, s4, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | (~m_processor_v_cmd(c_p1, s4, c_invalidate)) | (~m_processor_v_cmd(c_p1, s4, c_read_h_shared)))),
% 50.82/33.47 inference(rewrite,[status(thm)],[])).
% 50.82/33.47 tff(22585,plain,
% 50.82/33.47 (((~m_processor_v_cmd(c_p1, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s4, c_invalidate))) <=> ((~m_processor_v_cmd(c_p1, s4, c_invalidate)) | (~m_processor_v_cmd(c_p1, s4, c_read_h_shared)))),
% 50.82/33.47 inference(rewrite,[status(thm)],[])).
% 50.82/33.47 tff(22586,plain,
% 50.82/33.47 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | ((~m_processor_v_cmd(c_p1, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s4, c_invalidate)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | ((~m_processor_v_cmd(c_p1, s4, c_invalidate)) | (~m_processor_v_cmd(c_p1, s4, c_read_h_shared))))),
% 50.82/33.47 inference(monotonicity,[status(thm)],[22585])).
% 50.82/33.47 tff(22587,plain,
% 50.82/33.47 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | ((~m_processor_v_cmd(c_p1, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s4, c_invalidate)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | (~m_processor_v_cmd(c_p1, s4, c_invalidate)) | (~m_processor_v_cmd(c_p1, s4, c_read_h_shared)))),
% 50.82/33.47 inference(transitivity,[status(thm)],[22586, 22584])).
% 50.82/33.47 tff(22588,plain,
% 50.82/33.47 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | ((~m_processor_v_cmd(c_p1, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s4, c_invalidate)))),
% 50.82/33.47 inference(quant_inst,[status(thm)],[])).
% 50.82/33.47 tff(22589,plain,
% 50.82/33.47 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | (~m_processor_v_cmd(c_p1, s4, c_invalidate)) | (~m_processor_v_cmd(c_p1, s4, c_read_h_shared))),
% 50.82/33.47 inference(modus_ponens,[status(thm)],[22588, 22587])).
% 50.82/33.47 tff(22590,plain,
% 50.82/33.47 (~m_processor_v_cmd(c_p1, s4, c_invalidate)),
% 50.82/33.47 inference(unit_resolution,[status(thm)],[22589, 22583, 22539])).
% 50.82/33.47 tff(22591,plain,
% 50.82/33.47 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_invalidate) | (~m_main_v_CMD(s4, c_invalidate)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_invalidate) | (~m_main_v_CMD(s4, c_invalidate)))),
% 50.82/33.47 inference(rewrite,[status(thm)],[])).
% 50.82/33.47 tff(22592,plain,
% 50.82/33.47 (((~m_main_v_CMD(s4, c_invalidate)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_invalidate)) <=> ((~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_invalidate) | (~m_main_v_CMD(s4, c_invalidate)))),
% 50.82/33.47 inference(rewrite,[status(thm)],[])).
% 50.82/33.47 tff(22593,plain,
% 50.82/33.47 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_invalidate)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_invalidate))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_invalidate) | (~m_main_v_CMD(s4, c_invalidate))))),
% 50.82/33.47 inference(monotonicity,[status(thm)],[22592])).
% 50.82/33.47 tff(22594,plain,
% 50.82/33.47 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_invalidate)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_invalidate))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_invalidate) | (~m_main_v_CMD(s4, c_invalidate)))),
% 50.82/33.47 inference(transitivity,[status(thm)],[22593, 22591])).
% 50.82/33.47 tff(22595,plain,
% 50.82/33.47 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_invalidate)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_invalidate))),
% 50.82/33.47 inference(quant_inst,[status(thm)],[])).
% 50.82/33.47 tff(22596,plain,
% 50.82/33.47 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_invalidate) | (~m_main_v_CMD(s4, c_invalidate))),
% 50.82/33.47 inference(modus_ponens,[status(thm)],[22595, 22594])).
% 50.82/33.47 tff(22597,plain,
% 50.82/33.47 (~m_main_v_CMD(s4, c_invalidate)),
% 50.82/33.47 inference(unit_resolution,[status(thm)],[22596, 3512, 12869, 22590])).
% 50.82/33.47 tff(22598,plain,
% 50.82/33.47 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_response))))),
% 50.82/33.47 inference(bind,[status(th)],[])).
% 50.82/33.47 tff(22599,plain,
% 50.82/33.47 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 50.82/33.47 inference(quant_intro,[status(thm)],[22598])).
% 50.82/33.47 tff(22600,plain,
% 50.82/33.47 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 50.82/33.47 inference(rewrite,[status(thm)],[])).
% 50.82/33.47 tff(22601,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_16')).
% 50.82/33.47 tff(22602,plain,
% 50.82/33.47 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 50.82/33.47 inference(modus_ponens,[status(thm)],[22601, 22600])).
% 50.82/33.47 tff(22603,plain,(
% 50.82/33.47 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 50.82/33.47 inference(skolemize,[status(sab)],[22602])).
% 50.82/33.47 tff(22604,plain,
% 50.82/33.47 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 50.82/33.47 inference(modus_ponens,[status(thm)],[22603, 22599])).
% 50.82/33.47 tff(22605,plain,
% 50.82/33.47 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p1, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s4, c_response)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p1, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s4, c_response)))),
% 50.82/33.47 inference(rewrite,[status(thm)],[])).
% 50.82/33.47 tff(22606,plain,
% 50.82/33.47 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p1, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s4, c_response)))),
% 50.82/33.47 inference(quant_inst,[status(thm)],[])).
% 50.82/33.47 tff(22607,plain,
% 50.82/33.47 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p1, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s4, c_response))),
% 50.82/33.47 inference(modus_ponens,[status(thm)],[22606, 22605])).
% 50.82/33.47 tff(22608,plain,
% 50.82/33.47 (~m_processor_v_cmd(c_p1, s4, c_response)),
% 50.82/33.47 inference(unit_resolution,[status(thm)],[22607, 22604, 22539])).
% 50.82/33.47 tff(22609,plain,
% 50.82/33.47 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_response) | (~m_main_v_CMD(s4, c_response)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_response) | (~m_main_v_CMD(s4, c_response)))),
% 50.82/33.47 inference(rewrite,[status(thm)],[])).
% 50.82/33.47 tff(22610,plain,
% 50.82/33.47 (((~m_main_v_CMD(s4, c_response)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_response)) <=> ((~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_response) | (~m_main_v_CMD(s4, c_response)))),
% 50.82/33.47 inference(rewrite,[status(thm)],[])).
% 50.82/33.47 tff(22611,plain,
% 50.82/33.47 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_response)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_response))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_response) | (~m_main_v_CMD(s4, c_response))))),
% 50.82/33.47 inference(monotonicity,[status(thm)],[22610])).
% 50.82/33.47 tff(22612,plain,
% 50.82/33.47 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_response)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_response))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_response) | (~m_main_v_CMD(s4, c_response)))),
% 50.82/33.47 inference(transitivity,[status(thm)],[22611, 22609])).
% 50.82/33.47 tff(22613,plain,
% 50.82/33.47 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_response)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_response))),
% 50.82/33.47 inference(quant_inst,[status(thm)],[])).
% 50.82/33.47 tff(22614,plain,
% 50.82/33.47 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_response) | (~m_main_v_CMD(s4, c_response))),
% 50.82/33.47 inference(modus_ponens,[status(thm)],[22613, 22612])).
% 50.82/33.47 tff(22615,plain,
% 50.82/33.47 (~m_main_v_CMD(s4, c_response)),
% 50.82/33.47 inference(unit_resolution,[status(thm)],[22614, 3512, 12869, 22608])).
% 50.82/33.47 tff(22616,plain,
% 50.82/33.47 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p1, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid)))),
% 50.82/33.47 inference(rewrite,[status(thm)],[])).
% 50.82/33.47 tff(22617,plain,
% 50.82/33.47 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid)))),
% 50.82/33.47 inference(quant_inst,[status(thm)],[])).
% 50.82/33.47 tff(22618,plain,
% 50.82/33.47 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p1, s4, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid))),
% 50.82/33.47 inference(modus_ponens,[status(thm)],[22617, 22616])).
% 50.82/33.47 tff(22619,plain,
% 50.82/33.47 (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid)),
% 50.82/33.47 inference(unit_resolution,[status(thm)],[22618, 9153, 22539])).
% 50.82/33.47 tff(22620,plain,
% 50.82/33.47 (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)),
% 50.82/33.47 inference(unit_resolution,[status(thm)],[12920, 3512, 22619, 12869])).
% 50.82/33.47 tff(22621,plain,
% 50.82/33.47 (((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | (m_main_v_CMD(s4, c_idle) | m_main_v_CMD(s4, c_response) | m_main_v_CMD(s4, c_invalidate) | m_main_v_CMD(s4, c_write_h_resp_h_shared) | m_main_v_CMD(s4, c_write_h_resp_h_invalid) | m_main_v_CMD(s4, c_write_h_shared) | m_main_v_CMD(s4, c_write_h_invalid) | m_main_v_CMD(s4, c_read_h_owned) | m_main_v_CMD(s4, c_read_h_shared))) <=> ((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | m_main_v_CMD(s4, c_idle) | m_main_v_CMD(s4, c_response) | m_main_v_CMD(s4, c_invalidate) | m_main_v_CMD(s4, c_write_h_resp_h_shared) | m_main_v_CMD(s4, c_write_h_resp_h_invalid) | m_main_v_CMD(s4, c_write_h_shared) | m_main_v_CMD(s4, c_write_h_invalid) | m_main_v_CMD(s4, c_read_h_owned) | m_main_v_CMD(s4, c_read_h_shared))),
% 50.82/33.47 inference(rewrite,[status(thm)],[])).
% 50.82/33.47 tff(22622,plain,
% 50.82/33.47 ((m_main_v_CMD(s4, c_response) | m_main_v_CMD(s4, c_invalidate) | m_main_v_CMD(s4, c_write_h_resp_h_shared) | m_main_v_CMD(s4, c_write_h_resp_h_invalid) | m_main_v_CMD(s4, c_write_h_shared) | m_main_v_CMD(s4, c_write_h_invalid) | m_main_v_CMD(s4, c_read_h_owned) | m_main_v_CMD(s4, c_read_h_shared) | m_main_v_CMD(s4, c_idle)) <=> (m_main_v_CMD(s4, c_idle) | m_main_v_CMD(s4, c_response) | m_main_v_CMD(s4, c_invalidate) | m_main_v_CMD(s4, c_write_h_resp_h_shared) | m_main_v_CMD(s4, c_write_h_resp_h_invalid) | m_main_v_CMD(s4, c_write_h_shared) | m_main_v_CMD(s4, c_write_h_invalid) | m_main_v_CMD(s4, c_read_h_owned) | m_main_v_CMD(s4, c_read_h_shared))),
% 50.82/33.47 inference(rewrite,[status(thm)],[])).
% 50.82/33.47 tff(22623,plain,
% 50.82/33.47 (((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | (m_main_v_CMD(s4, c_response) | m_main_v_CMD(s4, c_invalidate) | m_main_v_CMD(s4, c_write_h_resp_h_shared) | m_main_v_CMD(s4, c_write_h_resp_h_invalid) | m_main_v_CMD(s4, c_write_h_shared) | m_main_v_CMD(s4, c_write_h_invalid) | m_main_v_CMD(s4, c_read_h_owned) | m_main_v_CMD(s4, c_read_h_shared) | m_main_v_CMD(s4, c_idle))) <=> ((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | (m_main_v_CMD(s4, c_idle) | m_main_v_CMD(s4, c_response) | m_main_v_CMD(s4, c_invalidate) | m_main_v_CMD(s4, c_write_h_resp_h_shared) | m_main_v_CMD(s4, c_write_h_resp_h_invalid) | m_main_v_CMD(s4, c_write_h_shared) | m_main_v_CMD(s4, c_write_h_invalid) | m_main_v_CMD(s4, c_read_h_owned) | m_main_v_CMD(s4, c_read_h_shared)))),
% 50.82/33.47 inference(monotonicity,[status(thm)],[22622])).
% 50.82/33.47 tff(22624,plain,
% 50.82/33.47 (((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | (m_main_v_CMD(s4, c_response) | m_main_v_CMD(s4, c_invalidate) | m_main_v_CMD(s4, c_write_h_resp_h_shared) | m_main_v_CMD(s4, c_write_h_resp_h_invalid) | m_main_v_CMD(s4, c_write_h_shared) | m_main_v_CMD(s4, c_write_h_invalid) | m_main_v_CMD(s4, c_read_h_owned) | m_main_v_CMD(s4, c_read_h_shared) | m_main_v_CMD(s4, c_idle))) <=> ((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | m_main_v_CMD(s4, c_idle) | m_main_v_CMD(s4, c_response) | m_main_v_CMD(s4, c_invalidate) | m_main_v_CMD(s4, c_write_h_resp_h_shared) | m_main_v_CMD(s4, c_write_h_resp_h_invalid) | m_main_v_CMD(s4, c_write_h_shared) | m_main_v_CMD(s4, c_write_h_invalid) | m_main_v_CMD(s4, c_read_h_owned) | m_main_v_CMD(s4, c_read_h_shared))),
% 50.82/33.47 inference(transitivity,[status(thm)],[22623, 22621])).
% 50.82/33.47 tff(22625,plain,
% 50.82/33.47 ((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | (m_main_v_CMD(s4, c_response) | m_main_v_CMD(s4, c_invalidate) | m_main_v_CMD(s4, c_write_h_resp_h_shared) | m_main_v_CMD(s4, c_write_h_resp_h_invalid) | m_main_v_CMD(s4, c_write_h_shared) | m_main_v_CMD(s4, c_write_h_invalid) | m_main_v_CMD(s4, c_read_h_owned) | m_main_v_CMD(s4, c_read_h_shared) | m_main_v_CMD(s4, c_idle))),
% 50.82/33.47 inference(quant_inst,[status(thm)],[])).
% 50.82/33.47 tff(22626,plain,
% 50.82/33.47 ((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | m_main_v_CMD(s4, c_idle) | m_main_v_CMD(s4, c_response) | m_main_v_CMD(s4, c_invalidate) | m_main_v_CMD(s4, c_write_h_resp_h_shared) | m_main_v_CMD(s4, c_write_h_resp_h_invalid) | m_main_v_CMD(s4, c_write_h_shared) | m_main_v_CMD(s4, c_write_h_invalid) | m_main_v_CMD(s4, c_read_h_owned) | m_main_v_CMD(s4, c_read_h_shared)),
% 50.82/33.47 inference(modus_ponens,[status(thm)],[22625, 22624])).
% 50.82/33.47 tff(22627,plain,
% 50.82/33.47 (m_main_v_CMD(s4, c_response) | m_main_v_CMD(s4, c_invalidate) | m_main_v_CMD(s4, c_write_h_resp_h_shared) | m_main_v_CMD(s4, c_write_h_resp_h_invalid) | m_main_v_CMD(s4, c_write_h_shared) | m_main_v_CMD(s4, c_write_h_invalid) | m_main_v_CMD(s4, c_read_h_owned) | m_main_v_CMD(s4, c_read_h_shared)),
% 50.82/33.47 inference(unit_resolution,[status(thm)],[22626, 3613, 1736])).
% 50.82/33.47 tff(22628,plain,
% 50.82/33.47 ($false),
% 50.82/33.47 inference(unit_resolution,[status(thm)],[22627, 22620, 22615, 1239, 1659, 22597, 22576, 22565, 22547])).
% 50.82/33.47 tff(22629,plain,((~m_processor_v_cmd(c_p1, s4, c_read_h_shared)) | m_main_v_CMD(s4, c_read_h_shared) | m_main_v_CMD(s4, c_read_h_owned) | m_main_v_CMD(s4, c_idle) | (~node10(s4))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.47 tff(22630,plain,
% 50.82/33.47 (~m_processor_v_cmd(c_p1, s4, c_read_h_shared)),
% 50.82/33.47 inference(unit_resolution,[status(thm)],[22629, 1659, 1239, 12869, 1736])).
% 50.82/33.47 tff(22631,plain,
% 50.82/33.47 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p1, s4)) | (~m_processor_v_state(c_p1, s4, c_invalid)) | m_processor_v_cmd(c_p1, s4, c_read_h_owned) | m_processor_v_cmd(c_p1, s4, c_read_h_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s4)) | (~m_processor_v_state(c_p1, s4, c_invalid)) | m_processor_v_cmd(c_p1, s4, c_read_h_owned) | m_processor_v_cmd(c_p1, s4, c_read_h_shared))),
% 50.82/33.47 inference(rewrite,[status(thm)],[])).
% 50.82/33.47 tff(22632,plain,
% 50.82/33.47 ((m_processor_v_cmd(c_p1, s4, c_read_h_owned) | m_processor_v_cmd(c_p1, s4, c_read_h_shared) | (~m_processor_v_state(c_p1, s4, c_invalid)) | (~m_processor_v_master(c_p1, s4))) <=> ((~m_processor_v_master(c_p1, s4)) | (~m_processor_v_state(c_p1, s4, c_invalid)) | m_processor_v_cmd(c_p1, s4, c_read_h_owned) | m_processor_v_cmd(c_p1, s4, c_read_h_shared))),
% 50.82/33.47 inference(rewrite,[status(thm)],[])).
% 50.82/33.47 tff(22633,plain,
% 50.82/33.47 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s4, c_read_h_owned) | m_processor_v_cmd(c_p1, s4, c_read_h_shared) | (~m_processor_v_state(c_p1, s4, c_invalid)) | (~m_processor_v_master(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p1, s4)) | (~m_processor_v_state(c_p1, s4, c_invalid)) | m_processor_v_cmd(c_p1, s4, c_read_h_owned) | m_processor_v_cmd(c_p1, s4, c_read_h_shared)))),
% 50.82/33.47 inference(monotonicity,[status(thm)],[22632])).
% 50.82/33.47 tff(22634,plain,
% 50.82/33.47 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s4, c_read_h_owned) | m_processor_v_cmd(c_p1, s4, c_read_h_shared) | (~m_processor_v_state(c_p1, s4, c_invalid)) | (~m_processor_v_master(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s4)) | (~m_processor_v_state(c_p1, s4, c_invalid)) | m_processor_v_cmd(c_p1, s4, c_read_h_owned) | m_processor_v_cmd(c_p1, s4, c_read_h_shared))),
% 50.82/33.47 inference(transitivity,[status(thm)],[22633, 22631])).
% 50.82/33.47 tff(22635,plain,
% 50.82/33.47 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p1, s4, c_read_h_owned) | m_processor_v_cmd(c_p1, s4, c_read_h_shared) | (~m_processor_v_state(c_p1, s4, c_invalid)) | (~m_processor_v_master(c_p1, s4)))),
% 50.82/33.47 inference(quant_inst,[status(thm)],[])).
% 50.82/33.47 tff(22636,plain,
% 50.82/33.47 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p1, s4)) | (~m_processor_v_state(c_p1, s4, c_invalid)) | m_processor_v_cmd(c_p1, s4, c_read_h_owned) | m_processor_v_cmd(c_p1, s4, c_read_h_shared)),
% 50.82/33.47 inference(modus_ponens,[status(thm)],[22635, 22634])).
% 50.82/33.47 tff(22637,plain,
% 50.82/33.47 ((~m_processor_v_master(c_p1, s4)) | m_processor_v_cmd(c_p1, s4, c_read_h_owned) | m_processor_v_cmd(c_p1, s4, c_read_h_shared)),
% 50.82/33.47 inference(unit_resolution,[status(thm)],[22636, 1835, 16701])).
% 50.82/33.47 tff(22638,plain,
% 50.82/33.47 (m_processor_v_cmd(c_p1, s4, c_read_h_owned)),
% 50.82/33.47 inference(unit_resolution,[status(thm)],[22637, 22630, 1432])).
% 50.82/33.47 tff(22639,plain,
% 50.82/33.47 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_read_h_owned)) | m_main_v_CMD(s4, c_read_h_owned))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_read_h_owned)) | m_main_v_CMD(s4, c_read_h_owned))),
% 50.82/33.47 inference(rewrite,[status(thm)],[])).
% 50.82/33.47 tff(22640,plain,
% 50.82/33.47 ((m_main_v_CMD(s4, c_read_h_owned) | (~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_read_h_owned))) <=> ((~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_read_h_owned)) | m_main_v_CMD(s4, c_read_h_owned))),
% 50.82/33.47 inference(rewrite,[status(thm)],[])).
% 50.82/33.47 tff(22641,plain,
% 50.82/33.47 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s4, c_read_h_owned) | (~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | ((~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_read_h_owned)) | m_main_v_CMD(s4, c_read_h_owned)))),
% 50.82/33.47 inference(monotonicity,[status(thm)],[22640])).
% 50.82/33.47 tff(22642,plain,
% 50.82/33.47 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s4, c_read_h_owned) | (~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_read_h_owned)) | m_main_v_CMD(s4, c_read_h_owned))),
% 50.82/33.47 inference(transitivity,[status(thm)],[22641, 22639])).
% 50.82/33.47 tff(22643,plain,
% 50.82/33.47 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s4, c_read_h_owned) | (~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_read_h_owned)))),
% 50.82/33.47 inference(quant_inst,[status(thm)],[])).
% 50.82/33.47 tff(22644,plain,
% 50.82/33.47 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (~node10(s4)) | (~m_processor_v_cmd(c_p1, s4, c_read_h_owned)) | m_main_v_CMD(s4, c_read_h_owned)),
% 50.82/33.47 inference(modus_ponens,[status(thm)],[22643, 22642])).
% 50.82/33.47 tff(22645,plain,
% 50.82/33.47 ($false),
% 50.82/33.47 inference(unit_resolution,[status(thm)],[22644, 3481, 1659, 12869, 22638])).
% 50.82/33.47 tff(22646,plain,(m_main_v_CMD(s4, c_read_h_owned) | (~node10(s4)) | (~m_processor_v_master(c_p1, s4)) | (~m_processor_v_state(c_p1, s4, c_invalid)) | m_main_v_CMD(s4, c_read_h_shared) | m_main_v_CMD(s4, c_idle)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.47 tff(22647,plain,
% 50.82/33.47 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 50.82/33.47 inference(unit_resolution,[status(thm)],[22646, 22538, 12869, 1239, 1736, 1432])).
% 50.82/33.47 tff(22648,plain,
% 50.82/33.47 (m_processor_v_abort(c_p1, s3)),
% 50.82/33.47 inference(unit_resolution,[status(thm)],[12094, 22647, 2595, 10644, 9446, 6709, 12040, 12045])).
% 50.82/33.47 tff(22649,plain,
% 50.82/33.47 (node39(c_p1, s3, s4)),
% 50.82/33.47 inference(unit_resolution,[status(thm)],[12786, 22648])).
% 50.82/33.47 tff(22650,plain,
% 50.82/33.47 (node32(c_p1, s3, s4)),
% 50.82/33.47 inference(unit_resolution,[status(thm)],[6640, 22648])).
% 50.82/33.47 tff(22651,plain,
% 50.82/33.47 (m_processor_v_state(c_p1, s4, c_owned)),
% 50.82/33.47 inference(unit_resolution,[status(thm)],[16477, 22650, 2595])).
% 50.82/33.47 tff(22652,plain,
% 50.82/33.47 ($false),
% 50.82/33.47 inference(unit_resolution,[status(thm)],[12827, 22651, 22649, 1432, 22537, 11796])).
% 50.82/33.47 tff(22653,plain,(m_processor_v_waiting(c_p1, s4) | (~m_processor_v_master(c_p1, s4)) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_cmd(c_p1, s3, c_idle) | (~node10(s4)) | m_main_v_CMD(s4, c_read_h_shared) | m_main_v_CMD(s4, c_idle) | m_processor_v_state(c_p1, s5, c_invalid) | node47(c_p1, s4) | m_processor_v_abort(c_p1, s4) | (~node52(c_p1, s4, s5))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.47 tff(22654,plain,
% 50.82/33.47 (m_processor_v_waiting(c_p1, s4)),
% 50.82/33.47 inference(unit_resolution,[status(thm)],[22653, 22534, 11796, 2595, 1432, 12869, 1239, 1736, 559, 19853, 1425, 19527])).
% 50.82/33.47 tff(22655,plain,
% 50.82/33.47 (~node46(c_p1, s3, s4)),
% 50.82/33.47 inference(unit_resolution,[status(thm)],[21478, 22654, 5375])).
% 50.82/33.47 tff(22656,plain,
% 50.82/33.47 (~node50(c_p1, s3)),
% 50.82/33.47 inference(unit_resolution,[status(thm)],[22321, 16866, 6711])).
% 50.82/33.47 tff(22657,plain,
% 50.82/33.47 (~m_processor_v_cmd(c_p1, s3, c_read_h_shared)),
% 50.82/33.47 inference(unit_resolution,[status(thm)],[16686, 11648, 22533])).
% 50.82/33.47 tff(22658,plain,
% 50.82/33.47 (~node9(s3)),
% 50.82/33.47 inference(unit_resolution,[status(thm)],[10785, 22534])).
% 50.82/33.47 tff(22659,plain,
% 50.82/33.47 (node10(s3)),
% 50.82/33.47 inference(unit_resolution,[status(thm)],[10800, 19733, 19707, 9550, 22658])).
% 50.82/33.48 tff(22660,plain,
% 50.82/33.48 (~m_main_v_CMD(s3, c_read_h_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[16693, 3512, 22659, 22657])).
% 50.82/33.48 tff(22661,plain,
% 50.82/33.48 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[10595, 22660])).
% 50.82/33.48 tff(22662,plain,
% 50.82/33.48 (~node47(c_p1, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[6804, 657, 22661])).
% 50.82/33.48 tff(22663,plain,
% 50.82/33.48 (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[16680, 3716, 22533])).
% 50.82/33.48 tff(22664,plain,
% 50.82/33.48 (~m_main_v_CMD(s3, c_read_h_owned)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[10695, 3512, 22659, 22663])).
% 50.82/33.48 tff(22665,plain,
% 50.82/33.48 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[12458, 22664])).
% 50.82/33.48 tff(22666,plain,
% 50.82/33.48 (~node48(c_p1, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22337, 16883, 22665])).
% 50.82/33.48 tff(22667,plain,
% 50.82/33.48 (~node49(c_p1, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22331, 16755, 6711])).
% 50.82/33.48 tff(22668,plain,
% 50.82/33.48 (~node51(c_p1, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22327, 16894, 6711])).
% 50.82/33.48 tff(22669,plain,
% 50.82/33.48 ($false),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21484, 20180, 5375, 12117, 19505])).
% 50.82/33.48 tff(22670,plain,((~node52(c_p1, s3, s4)) | m_processor_v_waiting(c_p1, s3) | (~m_processor_v_waiting(c_p1, s4))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.48 tff(22671,plain,
% 50.82/33.48 (~node52(c_p1, s3, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22670, 22654, 5375])).
% 50.82/33.48 tff(22672,plain,
% 50.82/33.48 (m_processor_v_abort(c_p1, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[12166, 22671, 22668, 22667, 22666, 22662, 22656])).
% 50.82/33.48 tff(22673,plain,
% 50.82/33.48 ($false),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[12063, 22672, 22655])).
% 50.82/33.48 tff(22674,plain,((~m_processor_v_master(c_p1, s3)) | m_processor_v_waiting(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p1, s4)) | (~node10(s4)) | m_main_v_CMD(s4, c_read_h_shared) | m_main_v_CMD(s4, c_idle) | m_processor_v_state(c_p1, s5, c_invalid) | node47(c_p1, s4) | m_processor_v_abort(c_p1, s4) | (~node52(c_p1, s4, s5)) | (~m_memory_v_cmd(c_m, s3, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.48 tff(22675,plain,
% 50.82/33.48 (~m_processor_v_master(c_p1, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22674, 22532, 22456, 2595, 12881, 22407, 22445, 22442, 559, 19853, 1425, 22434, 22429])).
% 50.82/33.48 tff(22676,plain,
% 50.82/33.48 (m_processor_v_state(c_p1, s4, c_owned)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[16488, 22675, 2595])).
% 50.82/33.48 tff(22677,plain,
% 50.82/33.48 (~m_processor_v_state(c_p1, s4, c_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[17386, 22675, 5140])).
% 50.82/33.48 tff(22678,plain,
% 50.82/33.48 (~node63(c_p1, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[12632, 1809, 22677])).
% 50.82/33.48 tff(22679,plain,
% 50.82/33.48 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[6599, 137, 22676])).
% 50.82/33.48 tff(22680,plain,
% 50.82/33.48 (~node62(c_p1, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[12628, 1633, 22679])).
% 50.82/33.48 tff(22681,plain,
% 50.82/33.48 (m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21834, 22680, 559, 160, 22443, 22407, 12881, 22678, 22676])).
% 50.82/33.48 tff(22682,plain,
% 50.82/33.48 (m_processor_v_waiting(c_p1, s5)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[19259, 22681, 19853, 12881, 1425])).
% 50.82/33.48 tff(22683,plain,
% 50.82/33.48 (m_processor_v_cmd(c_p1, s3, c_idle)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[9478, 6607])).
% 50.82/33.48 tff(22684,plain,
% 50.82/33.48 (m_processor_v_state(c_p1, s4, c_owned)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[16488, 6607, 2595])).
% 50.82/33.48 tff(22685,plain,
% 50.82/33.48 (~m_processor_v_state(c_p1, s4, c_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[17386, 6607, 5140])).
% 50.82/33.48 tff(22686,plain,
% 50.82/33.48 (~node63(c_p1, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[12632, 1809, 22685])).
% 50.82/33.48 tff(22687,plain,
% 50.82/33.48 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[6599, 137, 22684])).
% 50.82/33.48 tff(22688,plain,
% 50.82/33.48 (~node62(c_p1, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[12628, 1633, 22687])).
% 50.82/33.48 tff(22689,plain,
% 50.82/33.48 (m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21834, 22688, 559, 160, 21815, 12869, 1432, 22686, 22684])).
% 50.82/33.48 tff(22690,plain,
% 50.82/33.48 (m_processor_v_waiting(c_p1, s5)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[19259, 22689, 19853, 1432, 1425])).
% 50.82/33.48 tff(22691,plain,
% 50.82/33.48 (m_processor_v_waiting(c_p1, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22264, 22690, 19527])).
% 50.82/33.48 tff(22692,plain,
% 50.82/33.48 (~node46(c_p1, s3, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21478, 22691, 5375])).
% 50.82/33.48 tff(22693,plain,
% 50.82/33.48 (~m_processor_v_abort(c_p1, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[12063, 22692])).
% 50.82/33.48 tff(22694,plain,
% 50.82/33.48 (node60(c_p1, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[11803, 22693])).
% 50.82/33.48 tff(22695,plain,
% 50.82/33.48 (~node47(c_p1, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[12111, 12108, 6607])).
% 50.82/33.48 tff(22696,plain,
% 50.82/33.48 (~node52(c_p1, s3, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22670, 22691, 5375])).
% 50.82/33.48 tff(22697,plain,
% 50.82/33.48 (~node48(c_p1, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[12115, 11562, 6607])).
% 50.82/33.48 tff(22698,plain,
% 50.82/33.48 (~m_main_v_CMD(s3, c_idle)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[12168, 22693, 22697, 22696, 22695])).
% 50.82/33.48 tff(22699,plain,
% 50.82/33.48 ($false),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[11962, 22698, 22694, 1752, 9550, 9816, 22683])).
% 50.82/33.48 tff(22700,plain,(m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | m_processor_v_waiting(c_p0, s4) | m_processor_v_waiting(c_p1, s3) | (~node52(c_p1, s4, s5)) | node47(c_p1, s4) | (~m_processor_v_master(c_p1, s4)) | m_processor_v_abort(c_p1, s4) | m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_state(c_p1, s5, c_shared) | (~node10(s4)) | (~m_processor_v_state(c_p1, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.48 tff(22701,plain,
% 50.82/33.48 (m_processor_v_waiting(c_p0, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22700, 22675, 22429, 1752, 22532, 22434, 19853, 12881, 1425, 559, 160, 22407, 2595])).
% 50.82/33.48 tff(22702,plain,
% 50.82/33.48 (~node56(c_p0, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[9373, 540, 22701])).
% 50.82/33.48 tff(22703,plain,
% 50.82/33.48 (~m_processor_v_writable(c_p0, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[67, 28, 22702])).
% 50.82/33.48 tff(22704,plain,
% 50.82/33.48 (~node67(s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[73, 43, 22703])).
% 50.82/33.48 tff(22705,plain,
% 50.82/33.48 (node67(s5)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[17905, 22704, 5932, 5949, 5668, 5667, 2621])).
% 50.82/33.48 tff(22706,plain,
% 50.82/33.48 (m_processor_v_writable(c_p1, s5)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[103, 22705])).
% 50.82/33.48 tff(22707,plain,
% 50.82/33.48 (node56(c_p1, s5)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[88, 22706])).
% 50.82/33.48 tff(22708,plain,
% 50.82/33.48 ($false),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[19116, 22707, 22682])).
% 50.82/33.48 tff(22709,plain,(m_processor_v_cmd(c_p1, s4, c_idle) | node47(c_p1, s4) | m_processor_v_abort(c_p1, s4) | m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_state(c_p1, s5, c_shared) | node67(s8) | node67(s9) | node67(s6) | node67(s7) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_master(c_p0, s2))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.48 tff(22710,plain,
% 50.82/33.48 (m_processor_v_cmd(c_p1, s4, c_idle)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22709, 19853, 1425, 19134, 19107, 5932, 5949, 52, 6553, 22384, 21258, 22372])).
% 50.82/33.48 tff(22711,plain,
% 50.82/33.48 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_read_h_owned)))),
% 50.82/33.48 inference(rewrite,[status(thm)],[])).
% 50.82/33.48 tff(22712,plain,
% 50.82/33.48 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_read_h_owned)))),
% 50.82/33.48 inference(quant_inst,[status(thm)],[])).
% 50.82/33.48 tff(22713,plain,
% 50.82/33.48 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_read_h_owned))),
% 50.82/33.48 inference(modus_ponens,[status(thm)],[22712, 22711])).
% 50.82/33.48 tff(22714,plain,
% 50.82/33.48 (~m_processor_v_cmd(c_p1, s4, c_read_h_owned)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22713, 3189, 1620])).
% 50.82/33.48 tff(22715,plain,
% 50.82/33.48 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_read_h_shared)))),
% 50.82/33.48 inference(rewrite,[status(thm)],[])).
% 50.82/33.48 tff(22716,plain,
% 50.82/33.48 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_read_h_shared)))),
% 50.82/33.48 inference(quant_inst,[status(thm)],[])).
% 50.82/33.48 tff(22717,plain,
% 50.82/33.48 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_read_h_shared))),
% 50.82/33.48 inference(modus_ponens,[status(thm)],[22716, 22715])).
% 50.82/33.48 tff(22718,plain,
% 50.82/33.48 (~m_processor_v_cmd(c_p1, s4, c_read_h_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22717, 3200, 1620])).
% 50.82/33.48 tff(22719,plain,
% 50.82/33.48 (m_processor_v_cmd(c_p1, s4, c_read_h_owned) | m_processor_v_cmd(c_p1, s4, c_read_h_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22636, 1835, 1432, 16701])).
% 50.82/33.48 tff(22720,plain,
% 50.82/33.48 ($false),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22719, 22718, 22714])).
% 50.82/33.48 tff(22721,plain,((~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_master(c_p1, s4)) | (~m_processor_v_state(c_p1, s4, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.48 tff(22722,plain,
% 50.82/33.48 (~m_processor_v_master(c_p1, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22721, 16701, 1620])).
% 50.82/33.48 tff(22723,plain,
% 50.82/33.48 (~m_processor_v_state(c_p1, s4, c_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[19185, 22722, 19134, 19107])).
% 50.82/33.48 tff(22724,plain,
% 50.82/33.48 (m_processor_v_state(c_p1, s4, c_owned)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[19131, 22722, 13853, 22723])).
% 50.82/33.48 tff(22725,plain,
% 50.82/33.48 ($false),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[6599, 137, 22724, 16701])).
% 50.82/33.48 tff(22726,plain,((~m_processor_v_state(c_p1, s4, c_invalid)) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_cmd(c_p1, s4, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.48 tff(22727,plain,
% 50.82/33.48 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22726, 22710, 13853])).
% 50.82/33.48 tff(22728,plain,
% 50.82/33.48 (m_processor_v_reply_h_owned(c_p1, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21700, 6607])).
% 50.82/33.48 tff(22729,plain,
% 50.82/33.48 (~node5(s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21708, 22728])).
% 50.82/33.48 tff(22730,plain,
% 50.82/33.48 (m_main_v_REPLY_h_OWNED(s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[19697, 22729])).
% 50.82/33.48 tff(22731,plain,
% 50.82/33.48 (m_memory_v_REPLY_h_OWNED(c_m, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[19705, 22730])).
% 50.82/33.48 tff(22732,plain,
% 50.82/33.48 (~node18(c_m, s3, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[20093, 9847, 7332])).
% 50.82/33.48 tff(22733,plain,
% 50.82/33.48 (~m_memory_v_abort(c_m, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[9878, 22732])).
% 50.82/33.48 tff(22734,plain,
% 50.82/33.48 (node26(c_m, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[19756, 22733])).
% 50.82/33.48 tff(22735,plain,
% 50.82/33.48 (node25(c_m, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[19749, 22734, 19743])).
% 50.82/33.48 tff(22736,plain,
% 50.82/33.48 (~m_memory_v_REPLY_h_STALL(c_m, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21967, 22734])).
% 50.82/33.48 tff(22737,plain,
% 50.82/33.48 (node21(c_m, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21979, 22733, 7332, 9847])).
% 50.82/33.48 tff(22738,plain,
% 50.82/33.48 (~m_main_v_CMD(s3, c_idle)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[11987, 22737])).
% 50.82/33.48 tff(22739,plain,
% 50.82/33.48 (~m_processor_v_cmd(c_p0, s3, c_idle)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[11516, 22738, 22120, 9596])).
% 50.82/33.48 tff(22740,plain,
% 50.82/33.48 (m_processor_v_master(c_p0, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[10144, 22739])).
% 50.82/33.48 tff(22741,plain,
% 50.82/33.48 (~m_main_v_REPLY_h_STALL(s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22053, 22736])).
% 50.82/33.48 tff(22742,plain,
% 50.82/33.48 (~m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[11826, 22741])).
% 50.82/33.48 tff(22743,plain,
% 50.82/33.48 (~node24(c_m, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22008, 22737])).
% 50.82/33.48 tff(22744,plain,
% 50.82/33.48 (~m_main_v_REPLY_h_WAITING(s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22042, 22743, 22734])).
% 50.82/33.48 tff(22745,plain,
% 50.82/33.48 (~m_processor_v_REPLY_h_WAITING(c_p0, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[11859, 22744])).
% 50.82/33.48 tff(22746,plain,
% 50.82/33.48 (~node61(c_p0, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[11867, 22745])).
% 50.82/33.48 tff(22747,plain,
% 50.82/33.48 (~m_processor_v_abort(c_p0, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[11875, 22746, 22742])).
% 50.82/33.48 tff(22748,plain,
% 50.82/33.48 (node34(c_p0, s3, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[9522, 22747, 22740])).
% 50.82/33.48 tff(22749,plain,
% 50.82/33.48 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[9533, 416, 1096, 22748])).
% 50.82/33.48 tff(22750,plain,
% 50.82/33.48 (~m_main_v_CMD(s3, c_read_h_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[9548, 22749])).
% 50.82/33.48 tff(22751,plain,
% 50.82/33.48 (m_memory_v_CMD(c_m, s3, c_read_h_owned)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22112, 22750, 7332, 9847, 22736])).
% 50.82/33.48 tff(22752,plain,
% 50.82/33.48 ($false),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[19740, 9959, 22751, 22735])).
% 50.82/33.48 tff(22753,plain,(m_memory_v_busy(c_m, s3) | (~m_memory_v_busy(c_m, s4)) | m_processor_v_state(c_p0, s4, c_shared) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_memory_v_REPLY_h_OWNED(c_m, s3))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.48 tff(22754,plain,
% 50.82/33.48 (~m_memory_v_busy(c_m, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22753, 22731, 6889, 9847, 22683])).
% 50.82/33.48 tff(22755,plain,
% 50.82/33.48 (~node29(c_m, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[2077, 22754])).
% 50.82/33.48 tff(22756,plain,
% 50.82/33.48 (m_memory_v_cmd(c_m, s4, c_idle)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[1325, 22755])).
% 50.82/33.48 tff(22757,plain,
% 50.82/33.48 (~m_processor_v_snoop(c_p0, s4, c_invalid)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21124, 22756, 1752, 1620, 19853, 19852, 1425, 19851])).
% 50.82/33.48 tff(22758,plain,
% 50.82/33.48 (~m_processor_v_master(c_p0, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22195, 22757, 21126])).
% 50.82/33.48 tff(22759,plain,
% 50.82/33.48 (m_processor_v_state(c_p0, s3, c_owned)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[9728, 22758, 1752])).
% 50.82/33.48 tff(22760,plain,
% 50.82/33.48 (~node44(c_p0, s3, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21131, 22757, 21126])).
% 50.82/33.48 tff(22761,plain,
% 50.82/33.48 (~node39(c_p0, s3, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22148, 22757, 21126])).
% 50.82/33.48 tff(22762,plain,
% 50.82/33.48 (~m_processor_v_abort(c_p0, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22156, 22761])).
% 50.82/33.48 tff(22763,plain,
% 50.82/33.48 (node40(c_p0, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[19821, 22762, 22760, 22758, 22759])).
% 50.82/33.48 tff(22764,plain,
% 50.82/33.48 (~m_main_v_CMD(s3, c_read_h_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[11518, 22759, 22120, 22683])).
% 50.82/33.48 tff(22765,plain,
% 50.82/33.48 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[11528, 22764])).
% 50.82/33.48 tff(22766,plain,
% 50.82/33.48 ($false),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[19773, 8367, 22765, 22763])).
% 50.82/33.48 tff(22767,plain,(m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | node47(c_p1, s4) | node52(c_p1, s4, s5) | m_processor_v_abort(c_p1, s4) | node48(c_p1, s4) | m_memory_v_busy(c_m, s3) | (~m_processor_v_state(c_p1, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.48 tff(22768,plain,
% 50.82/33.48 (m_processor_v_master(c_p1, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22767, 9847, 21126, 1620, 19853, 19852, 1425, 19851, 1752, 2595])).
% 50.82/33.48 tff(22769,plain,
% 50.82/33.48 (~m_processor_v_master(c_p0, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[9444, 794, 22768])).
% 50.82/33.48 tff(22770,plain,
% 50.82/33.48 (m_processor_v_state(c_p0, s3, c_owned)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[9728, 22769, 1752])).
% 50.82/33.48 tff(22771,plain,
% 50.82/33.48 (~m_processor_v_state(c_p0, s3, c_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[2661, 22770])).
% 50.82/33.48 tff(22772,plain,
% 50.82/33.48 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[2665, 137, 22770])).
% 50.82/33.48 tff(22773,plain,
% 50.82/33.48 (m_processor_v_state(c_p1, s2, c_owned)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[5484, 8656, 2595])).
% 50.82/33.48 tff(22774,plain,
% 50.82/33.48 (~m_processor_v_state(c_p1, s2, c_invalid)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[5490, 22773])).
% 50.82/33.48 tff(22775,plain,
% 50.82/33.48 (m_processor_v_state(c_p0, s2, c_invalid)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[5047, 22774, 22773])).
% 50.82/33.48 tff(22776,plain,
% 50.82/33.48 (~node32(c_p0, s2, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[5496, 22775, 2722])).
% 50.82/33.48 tff(22777,plain,
% 50.82/33.48 (~m_processor_v_abort(c_p0, s2)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[2704, 22776])).
% 50.82/33.48 tff(22778,plain,
% 50.82/33.48 (m_processor_v_master(c_p0, s2)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[9440, 22775, 1095, 9405])).
% 50.82/33.48 tff(22779,plain,
% 50.82/33.48 (node34(c_p0, s2, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[9272, 22778, 22777])).
% 50.82/33.48 tff(22780,plain,
% 50.82/33.48 (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[9214, 416, 2723, 22779])).
% 50.82/33.48 tff(22781,plain,
% 50.82/33.48 (node40(c_p1, s2)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[8780, 8656, 22773, 8614, 8588])).
% 50.82/33.48 tff(22782,plain,
% 50.82/33.48 (m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[8784, 8367, 22781])).
% 50.82/33.48 tff(22783,plain,
% 50.82/33.48 (m_main_v_CMD(s2, c_read_h_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[8791, 22782])).
% 50.82/33.48 tff(22784,plain,
% 50.82/33.48 ($false),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[5526, 22783, 22780])).
% 50.82/33.48 tff(22785,plain,(m_processor_v_snoop(c_p1, s3, c_invalid) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p0, s3, c_invalid) | (~m_processor_v_state(c_p1, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.48 tff(22786,plain,
% 50.82/33.48 (m_processor_v_snoop(c_p1, s3, c_invalid)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22785, 22772, 22769, 22771, 6880, 2595])).
% 50.82/33.48 tff(22787,plain,
% 50.82/33.48 (~m_processor_v_snoop(c_p1, s3, c_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[12038, 4096, 22786])).
% 50.82/33.48 tff(22788,plain,
% 50.82/33.48 (~node65(c_p1, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[10761, 4107, 22787])).
% 50.82/33.48 tff(22789,plain,
% 50.82/33.48 (~m_processor_v_snoop(c_p1, s3, c_owned)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[12043, 4071, 22786])).
% 50.82/33.48 tff(22790,plain,
% 50.82/33.48 (~node64(c_p1, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[10718, 4082, 22789])).
% 50.82/33.48 tff(22791,plain,
% 50.82/33.48 (m_processor_v_cmd(c_p1, s3, c_write_h_invalid)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[10757, 22790, 10644, 10640, 22768, 22786, 22788])).
% 50.82/33.48 tff(22792,plain,
% 50.82/33.48 (~node16(s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[10569, 3386, 22768])).
% 50.82/33.48 tff(22793,plain,
% 50.82/33.48 (~m_processor_v_master(c_p2, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[9562, 22792])).
% 50.82/33.48 tff(22794,plain,
% 50.82/33.48 (m_processor_v_cmd(c_p2, s3, c_idle)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[9594, 22793])).
% 50.82/33.48 tff(22795,plain,
% 50.82/33.48 (m_processor_v_cmd(c_p0, s3, c_idle)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[10144, 22769])).
% 50.82/33.48 tff(22796,plain,
% 50.82/33.48 (~m_processor_v_cmd(c_p1, s3, c_idle)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[12098, 3630, 22791])).
% 50.82/33.48 tff(22797,plain,
% 50.82/33.48 (~node9(s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[10785, 22796])).
% 50.82/33.48 tff(22798,plain,
% 50.82/33.48 (node10(s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[10800, 22797, 22120, 22795, 22794])).
% 50.82/33.48 tff(22799,plain,
% 50.82/33.48 (m_main_v_CMD(s3, c_write_h_invalid)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[12441, 22798, 22791])).
% 50.82/33.48 tff(22800,plain,
% 50.82/33.48 (~m_main_v_CMD(s3, c_read_h_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[11385, 8958, 22799])).
% 50.82/33.48 tff(22801,plain,
% 50.82/33.48 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[10595, 22800])).
% 50.82/33.48 tff(22802,plain,
% 50.82/33.48 (~m_main_v_CMD(s3, c_read_h_owned)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[12454, 12451, 22799])).
% 50.82/33.48 tff(22803,plain,
% 50.82/33.48 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[12458, 22802])).
% 50.82/33.48 tff(22804,plain,
% 50.82/33.48 (~node61(c_p1, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[12468, 22803, 22801])).
% 50.82/33.48 tff(22805,plain,
% 50.82/33.48 (m_processor_v_abort(c_p1, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[12090, 22801, 2595, 6713, 10644, 22790, 22120, 22788, 22796, 22803])).
% 50.82/33.48 tff(22806,plain,
% 50.82/33.48 (m_processor_v_REPLY_h_STALL(c_p1, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[12476, 22805, 22804])).
% 50.82/33.48 tff(22807,plain,
% 50.82/33.48 (m_main_v_REPLY_h_STALL(s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[12483, 22806])).
% 50.82/33.48 tff(22808,plain,
% 50.82/33.48 (m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[10502, 22807])).
% 50.82/33.48 tff(22809,plain,
% 50.82/33.48 (~node60(c_p0, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[10494, 22808])).
% 50.82/33.48 tff(22810,plain,
% 50.82/33.48 (m_processor_v_abort(c_p0, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[10486, 22809])).
% 50.82/33.48 tff(22811,plain,
% 50.82/33.48 (node39(c_p0, s3, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22156, 22810])).
% 50.82/33.48 tff(22812,plain,
% 50.82/33.48 (m_processor_v_snoop(c_p0, s4, c_invalid)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22148, 22811, 21126])).
% 50.82/33.48 tff(22813,plain,
% 50.82/33.48 (~m_memory_v_cmd(c_m, s4, c_idle)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21124, 22812, 1752, 1620, 19853, 19852, 1425, 19851])).
% 50.82/33.48 tff(22814,plain,
% 50.82/33.48 (m_memory_v_REPLY_h_STALL(c_m, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22053, 22807])).
% 50.82/33.48 tff(22815,plain,
% 50.82/33.48 (~node26(c_m, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21967, 22814])).
% 50.82/33.48 tff(22816,plain,
% 50.82/33.48 (m_memory_v_abort(c_m, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[19756, 22815])).
% 50.82/33.48 tff(22817,plain,
% 50.82/33.48 (node18(c_m, s3, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[9878, 22816])).
% 50.82/33.48 tff(22818,plain,
% 50.82/33.48 (~m_memory_v_busy(c_m, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[20093, 22817, 9847])).
% 50.82/33.48 tff(22819,plain,
% 50.82/33.48 (~node29(c_m, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[2077, 22818])).
% 50.82/33.48 tff(22820,plain,
% 50.82/33.48 ($false),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[1325, 22819, 22813])).
% 50.82/33.48 tff(22821,plain,(m_memory_v_busy(c_m, s3) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | node47(c_p1, s4) | node52(c_p1, s4, s5) | m_processor_v_abort(c_p1, s4) | node48(c_p1, s4) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.48 tff(22822,plain,
% 50.82/33.48 (node52(c_p1, s4, s5)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22821, 22727, 22710, 19853, 22384, 1425, 22389, 22388, 21258, 22387])).
% 50.82/33.48 tff(22823,plain,
% 50.82/33.48 (m_main_v_CMD(s3, c_read_h_owned)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[10546, 21923])).
% 50.82/33.48 tff(22824,plain,
% 50.82/33.48 (~m_main_v_CMD(s3, c_write_h_resp_h_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[20161, 7940, 22823])).
% 50.82/33.48 tff(22825,plain,
% 50.82/33.48 (~m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21576, 21573, 21563, 22824])).
% 50.82/33.48 tff(22826,plain,
% 50.82/33.48 (~node51(c_p2, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21580, 11549, 22825])).
% 50.82/33.48 tff(22827,plain,
% 50.82/33.48 (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[20155, 7953, 22823])).
% 50.82/33.48 tff(22828,plain,
% 50.82/33.48 (~m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21585, 21573, 22827, 21563])).
% 50.82/33.48 tff(22829,plain,
% 50.82/33.48 (~node50(c_p2, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21592, 11598, 22828])).
% 50.82/33.48 tff(22830,plain,
% 50.82/33.48 (~m_main_v_CMD(s3, c_response)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[12321, 22823])).
% 50.82/33.48 tff(22831,plain,
% 50.82/33.48 (~m_processor_v_CMD(c_p2, s3, c_response)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21654, 21573, 21563, 22830])).
% 50.82/33.48 tff(22832,plain,
% 50.82/33.48 (~node49(c_p2, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21658, 11579, 22831])).
% 50.82/33.48 tff(22833,plain,
% 50.82/33.48 (~node16(s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[9554, 1530, 9825])).
% 50.82/33.48 tff(22834,plain,
% 50.82/33.48 (~m_processor_v_master(c_p2, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[9562, 22833])).
% 50.82/33.48 tff(22835,plain,
% 50.82/33.48 (~node56(c_p0, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[9373, 540, 19452])).
% 50.82/33.48 tff(22836,plain,
% 50.82/33.48 (~m_processor_v_writable(c_p0, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[67, 28, 22835])).
% 50.82/33.48 tff(22837,plain,
% 50.82/33.48 (~node67(s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[73, 43, 22836])).
% 50.82/33.48 tff(22838,plain,
% 50.82/33.48 (node67(s5)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[17905, 22837, 5932, 5949, 5668, 5667, 2621])).
% 50.82/33.48 tff(22839,plain,
% 50.82/33.48 (m_processor_v_writable(c_p0, s5)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[19296, 22838])).
% 50.82/33.48 tff(22840,plain,
% 50.82/33.48 (node56(c_p0, s5)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[19304, 22839])).
% 50.82/33.48 tff(22841,plain,
% 50.82/33.48 (~m_processor_v_waiting(c_p0, s5)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21281, 22840])).
% 50.82/33.48 tff(22842,plain,
% 50.82/33.48 (~node52(c_p0, s4, s5)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21695, 22841, 19452])).
% 50.82/33.48 tff(22843,plain,
% 50.82/33.48 (m_processor_v_cmd(c_p1, s3, c_idle)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[9478, 21925])).
% 50.82/33.48 tff(22844,plain,
% 50.82/33.48 (m_processor_v_reply_h_owned(c_p1, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21700, 21925])).
% 50.82/33.48 tff(22845,plain,
% 50.82/33.48 (~node5(s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21708, 22844])).
% 50.82/33.48 tff(22846,plain,
% 50.82/33.48 (m_main_v_REPLY_h_OWNED(s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[19697, 22845])).
% 50.82/33.48 tff(22847,plain,
% 50.82/33.48 (m_memory_v_REPLY_h_OWNED(c_m, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[19705, 22846])).
% 50.82/33.48 tff(22848,plain,
% 50.82/33.48 (~m_memory_v_busy(c_m, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22753, 22847, 6889, 9847, 22843])).
% 50.82/33.48 tff(22849,plain,
% 50.82/33.48 (~node29(c_m, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[2077, 22848])).
% 50.82/33.48 tff(22850,plain,
% 50.82/33.48 (m_memory_v_cmd(c_m, s4, c_idle)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[1325, 22849])).
% 50.82/33.48 tff(22851,plain,
% 50.82/33.48 (m_processor_v_writable(c_p1, s5)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[103, 22838])).
% 50.82/33.48 tff(22852,plain,
% 50.82/33.48 (node56(c_p1, s5)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[88, 22851])).
% 50.82/33.48 tff(22853,plain,
% 50.82/33.48 (~m_processor_v_waiting(c_p1, s5)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[19116, 22852])).
% 50.82/33.48 tff(22854,plain,
% 50.82/33.48 (~m_processor_v_waiting(c_p1, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[19535, 22853, 19527])).
% 50.82/33.48 tff(22855,plain,
% 50.82/33.48 (~node58(c_p1, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21499, 21496, 22854])).
% 50.82/33.48 tff(22856,plain,
% 50.82/33.48 (~m_processor_v_reply_h_waiting(c_p1, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21510, 21507, 22855])).
% 50.82/33.48 tff(22857,plain,
% 50.82/33.48 (m_processor_v_reply_h_waiting(c_p2, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21804, 22856, 1620, 1371, 22850, 22842, 1752, 22841])).
% 50.82/33.48 tff(22858,plain,
% 50.82/33.48 (node58(c_p2, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21690, 22857])).
% 50.82/33.48 tff(22859,plain,
% 50.82/33.48 (m_processor_v_waiting(c_p2, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21682, 22858])).
% 50.82/33.48 tff(22860,plain,
% 50.82/33.48 (node6(s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[20135, 21634])).
% 50.82/33.48 tff(22861,plain,
% 50.82/33.48 (~m_processor_v_reply_h_waiting(c_p2, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21539, 22860])).
% 50.82/33.48 tff(22862,plain,
% 50.82/33.48 (m_processor_v_reply_h_waiting(c_p2, s3) | (~m_processor_v_waiting(c_p2, s3))),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21548, 2296, 9564])).
% 50.82/33.48 tff(22863,plain,
% 50.82/33.48 (~m_processor_v_waiting(c_p2, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22862, 22861])).
% 50.82/33.48 tff(22864,assumption,(~node51(c_p2, s3)), introduced(assumption)).
% 50.82/33.48 tff(22865,assumption,(~node50(c_p2, s3)), introduced(assumption)).
% 50.82/33.48 tff(22866,plain,
% 50.82/33.48 (~node47(c_p2, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21596, 12108, 9564])).
% 50.82/33.48 tff(22867,plain,
% 50.82/33.48 (~node48(c_p2, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21600, 11562, 9564])).
% 50.82/33.48 tff(22868,assumption,(~node49(c_p2, s3)), introduced(assumption)).
% 50.82/33.48 tff(22869,plain,
% 50.82/33.48 (~m_processor_v_abort(c_p2, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21649, 10488, 21631])).
% 50.82/33.48 tff(22870,plain,
% 50.82/33.48 (node52(c_p2, s3, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21670, 22869, 22868, 22867, 22866, 22865, 22864])).
% 50.82/33.48 tff(22871,assumption,(m_processor_v_waiting(c_p2, s4)), introduced(assumption)).
% 50.82/33.48 tff(22872,plain,
% 50.82/33.48 ($false),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21674, 20180, 22871, 22870, 22863])).
% 50.82/33.48 tff(22873,plain,((~node60(c_p0, s3)) | (~m_processor_v_waiting(c_p2, s4)) | m_processor_v_master(c_p2, s3) | node49(c_p2, s3) | node50(c_p2, s3) | node51(c_p2, s3) | node59(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.48 tff(22874,plain,
% 50.82/33.48 (~node60(c_p0, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22873, 22859, 22834, 22832, 22829, 22826, 21924])).
% 50.82/33.48 tff(22875,plain,
% 50.82/33.48 (m_processor_v_abort(c_p0, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[10486, 22874])).
% 50.82/33.48 tff(22876,plain,
% 50.82/33.48 (node32(c_p0, s3, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[9403, 22875])).
% 50.82/33.48 tff(22877,plain,
% 50.82/33.48 (~m_processor_v_state(c_p0, s3, c_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[9799, 22876, 6889])).
% 50.82/33.48 tff(22878,plain,
% 50.82/33.48 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[9389, 22876, 6880])).
% 50.82/33.48 tff(22879,plain,
% 50.82/33.48 ($false),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[9415, 22878, 22877, 2642])).
% 50.82/33.48 tff(22880,plain,(m_processor_v_state(c_p0, s3, c_owned) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | m_processor_v_REPLY_h_STALL(c_p0, s4) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~node52(c_p1, s4, s5)) | node67(s8) | node67(s9) | node67(s6) | node67(s7) | m_memory_v_busy(c_m, s3) | (~m_processor_v_state(c_p1, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.48 tff(22881,plain,
% 50.82/33.48 (m_processor_v_state(c_p0, s3, c_owned)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22880, 22710, 20076, 22384, 22822, 5932, 5949, 52, 6553, 22387, 21258])).
% 50.82/33.48 tff(22882,plain,
% 50.82/33.48 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[2665, 137, 22881])).
% 50.82/33.48 tff(22883,plain,
% 50.82/33.48 (~node32(c_p0, s2, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[5496, 22882, 22376])).
% 50.82/33.48 tff(22884,plain,
% 50.82/33.48 (~m_processor_v_abort(c_p0, s2)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[2704, 22883])).
% 50.82/33.48 tff(22885,plain,
% 50.82/33.48 (node44(c_p0, s2, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[11345, 22884, 22377, 22376])).
% 50.82/33.48 tff(22886,plain,
% 50.82/33.48 (~m_processor_v_snoop(c_p0, s3, c_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[11359, 22885])).
% 50.82/33.48 tff(22887,plain,
% 50.82/33.48 (~node42(c_p1, s2)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[8704, 8170, 22373])).
% 50.82/33.48 tff(22888,plain,
% 50.82/33.48 (~node43(c_p1, s2)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[8700, 8159, 22373])).
% 50.82/33.48 tff(22889,plain,
% 50.82/33.48 (~m_processor_v_state(c_p0, s2, c_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[8392, 22376])).
% 50.82/33.48 tff(22890,plain,
% 50.82/33.48 (node34(c_p0, s2, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[9276, 22882, 22889, 22377])).
% 50.82/33.48 tff(22891,plain,
% 50.82/33.48 (~m_processor_v_state(c_p0, s3, c_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[2661, 22881])).
% 50.82/33.48 tff(22892,plain,
% 50.82/33.48 (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[9214, 416, 22891, 22890])).
% 50.82/33.48 tff(22893,plain,
% 50.82/33.48 (~m_main_v_CMD(s2, c_read_h_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[5526, 22892])).
% 50.82/33.48 tff(22894,plain,
% 50.82/33.48 (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[8791, 22893])).
% 50.82/33.48 tff(22895,plain,
% 50.82/33.48 (~node40(c_p1, s2)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[8784, 8367, 22894])).
% 50.82/33.48 tff(22896,plain,
% 50.82/33.48 (~node41(c_p1, s2)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[8731, 8378, 22894])).
% 50.82/33.48 tff(22897,plain,
% 50.82/33.48 (m_processor_v_snoop(c_p1, s3, c_invalid)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22455, 22896, 22895, 22888, 22887])).
% 50.82/33.48 tff(22898,plain,
% 50.82/33.48 (~m_processor_v_snoop(c_p1, s3, c_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[12038, 4096, 22897])).
% 50.82/33.48 tff(22899,plain,
% 50.82/33.48 (~node65(c_p1, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[10761, 4107, 22898])).
% 50.82/33.48 tff(22900,plain,
% 50.82/33.48 (~m_processor_v_snoop(c_p1, s3, c_owned)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[12043, 4071, 22897])).
% 50.82/33.48 tff(22901,plain,
% 50.82/33.48 (~node64(c_p1, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[10718, 4082, 22900])).
% 50.82/33.48 tff(22902,plain,
% 50.82/33.48 (~node62(c_p1, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[10639, 1633, 21259])).
% 50.82/33.48 tff(22903,plain,
% 50.82/33.48 (~m_processor_v_state(c_p1, s3, c_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[5139, 121, 21258])).
% 50.82/33.48 tff(22904,plain,
% 50.82/33.48 (~node63(c_p1, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[10643, 1809, 22903])).
% 50.82/33.48 tff(22905,plain,
% 50.82/33.48 (~m_processor_v_snoop(c_p0, s3, c_owned)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[11368, 22885])).
% 50.82/33.48 tff(22906,plain,
% 50.82/33.48 (m_processor_v_waiting(c_p0, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[5647, 22884, 22372, 22376])).
% 50.82/33.48 tff(22907,plain,
% 50.82/33.48 (~m_main_v_CMD(s3, c_read_h_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[11518, 22683, 22120, 2652])).
% 50.82/33.48 tff(22908,plain,
% 50.82/33.48 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[11528, 22907])).
% 50.82/33.48 tff(22909,plain,
% 50.82/33.48 (~node41(c_p0, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[19799, 8378, 22908])).
% 50.82/33.48 tff(22910,plain,
% 50.82/33.48 (~node40(c_p0, s3)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[19773, 8367, 22908])).
% 50.82/33.48 tff(22911,plain,
% 50.82/33.48 (m_processor_v_snoop(c_p0, s4, c_invalid)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22193, 22910, 21126, 22909])).
% 50.82/33.48 tff(22912,plain,
% 50.82/33.48 (~m_processor_v_snoop(c_p0, s4, c_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21061, 4096, 22911])).
% 50.82/33.48 tff(22913,plain,
% 50.82/33.48 (~m_processor_v_snoop(c_p0, s4, c_owned)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21056, 4071, 22911])).
% 50.82/33.48 tff(22914,plain,
% 50.82/33.48 (m_main_v_CMD(s4, c_idle)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[20006, 21730, 1620, 1519])).
% 50.82/33.48 tff(22915,plain,
% 50.82/33.48 (node51(c_p0, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21747, 1126, 1620, 1371, 1519, 21728])).
% 50.82/33.48 tff(22916,plain,
% 50.82/33.48 (m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21797, 22915])).
% 50.82/33.48 tff(22917,plain,
% 50.82/33.48 (m_main_v_CMD(s4, c_write_h_resp_h_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[21801, 22916])).
% 50.82/33.48 tff(22918,plain,
% 50.82/33.48 ($false),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[20070, 7650, 22917, 22914])).
% 50.82/33.48 tff(22919,plain,(m_processor_v_master(c_p0, s4) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_memory_v_cmd(c_m, s4, c_idle)) | m_processor_v_REPLY_h_STALL(c_p0, s4) | node52(c_p0, s4, s5)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.48 tff(22920,plain,
% 50.82/33.48 (m_processor_v_master(c_p0, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[22919, 21728, 1519, 1371, 1620])).
% 50.82/33.48 tff(22921,plain,
% 50.82/33.48 (~node49(c_p0, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[16758, 16755, 22920])).
% 50.82/33.48 tff(22922,plain,
% 50.82/33.48 (~m_main_v_CMD(s4, c_read_h_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[16856, 22920, 1752])).
% 50.82/33.48 tff(22923,plain,
% 50.82/33.48 (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[1617, 22922])).
% 50.82/33.48 tff(22924,plain,
% 50.82/33.48 (~node47(c_p0, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[1337, 657, 22923])).
% 50.82/33.48 tff(22925,plain,
% 50.82/33.48 (~node51(c_p0, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[16897, 16894, 22920])).
% 50.82/33.48 tff(22926,plain,
% 50.82/33.48 (~node50(c_p0, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[16869, 16866, 22920])).
% 50.82/33.48 tff(22927,assumption,(~m_processor_v_snoop(c_p0, s4, c_shared)), introduced(assumption)).
% 50.82/33.48 tff(22928,plain,
% 50.82/33.48 (~node65(c_p0, s4)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[16854, 4107, 22927])).
% 50.82/33.48 tff(22929,plain,
% 50.82/33.48 (~m_processor_v_state(c_p0, s4, c_invalid)),
% 50.82/33.48 inference(unit_resolution,[status(thm)],[1755, 137, 1752])).
% 50.82/33.49 tff(22930,plain,
% 50.82/33.49 (~node62(c_p0, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[1636, 1633, 22929])).
% 50.82/33.49 tff(22931,plain,
% 50.82/33.49 (m_processor_v_snoop(c_p0, s4, c_invalid) | m_processor_v_snoop(c_p0, s4, c_owned)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[19991, 7213, 22927])).
% 50.82/33.49 tff(22932,plain,
% 50.82/33.49 (m_processor_v_snoop(c_p0, s4, c_invalid)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[22931, 19867])).
% 50.82/33.49 tff(22933,plain,
% 50.82/33.49 (m_processor_v_cmd(c_p0, s4, c_write_h_invalid) | (~m_processor_v_master(c_p0, s4)) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | node65(c_p0, s4) | node62(c_p0, s4) | node63(c_p0, s4) | node64(c_p0, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[16843, 7232, 1752])).
% 50.82/33.49 tff(22934,plain,
% 50.82/33.49 (node64(c_p0, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[22933, 22932, 22930, 16834, 16833, 1268, 16837])).
% 50.82/33.49 tff(22935,plain,
% 50.82/33.49 ($false),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[16794, 4082, 22934, 19867])).
% 50.82/33.49 tff(22936,plain,(m_processor_v_snoop(c_p0, s4, c_owned) | node63(c_p0, s4) | node65(c_p0, s4) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_cmd(c_p0, s4, c_write_h_invalid) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_snoop(c_p0, s4, c_shared)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.49 tff(22937,plain,
% 50.82/33.49 (m_processor_v_cmd(c_p0, s4, c_write_h_invalid)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[22936, 22920, 16779, 22928, 1752, 19867, 22927])).
% 50.82/33.49 tff(22938,plain,
% 50.82/33.49 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s4, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s4, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_invalid)))),
% 50.82/33.49 inference(rewrite,[status(thm)],[])).
% 50.82/33.49 tff(22939,plain,
% 50.82/33.49 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s4, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_invalid)))),
% 50.82/33.49 inference(quant_inst,[status(thm)],[])).
% 50.82/33.49 tff(22940,plain,
% 50.82/33.49 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s4, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s4, c_write_h_invalid))),
% 50.82/33.49 inference(modus_ponens,[status(thm)],[22939, 22938])).
% 50.82/33.49 tff(22941,plain,
% 50.82/33.49 (~m_processor_v_cmd(c_p0, s4, c_read_h_owned)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[22940, 3716, 22937])).
% 50.82/33.49 tff(22942,plain,
% 50.82/33.49 (~node16(s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[1535, 22920])).
% 50.82/33.49 tff(22943,plain,
% 50.82/33.49 (~m_processor_v_master(c_p2, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[1550, 22942])).
% 50.82/33.49 tff(22944,plain,
% 50.82/33.49 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[1582, 22943])).
% 50.82/33.49 tff(22945,plain,
% 50.82/33.49 (node8(s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[1678, 22944, 1519])).
% 50.82/33.49 tff(22946,plain,
% 50.82/33.49 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s4, c_read_h_owned)) | (~node8(s4)) | m_processor_v_cmd(c_p0, s4, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~m_main_v_CMD(s4, c_read_h_owned)) | (~node8(s4)) | m_processor_v_cmd(c_p0, s4, c_read_h_owned))),
% 50.82/33.49 inference(rewrite,[status(thm)],[])).
% 50.82/33.49 tff(22947,plain,
% 50.82/33.49 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s4, c_read_h_owned)) | (~node8(s4)) | m_processor_v_cmd(c_p0, s4, c_read_h_owned))),
% 50.82/33.49 inference(quant_inst,[status(thm)],[])).
% 50.82/33.49 tff(22948,plain,
% 50.82/33.49 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~m_main_v_CMD(s4, c_read_h_owned)) | (~node8(s4)) | m_processor_v_cmd(c_p0, s4, c_read_h_owned)),
% 50.82/33.49 inference(modus_ponens,[status(thm)],[22947, 22946])).
% 50.82/33.49 tff(22949,plain,
% 50.82/33.49 (~m_main_v_CMD(s4, c_read_h_owned)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[22948, 2191, 22945, 22941])).
% 50.82/33.49 tff(22950,plain,
% 50.82/33.49 (~m_processor_v_CMD(c_p0, s4, c_read_h_owned)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[17687, 1612, 1218, 22949])).
% 50.82/33.49 tff(22951,plain,
% 50.82/33.49 (m_processor_v_CMD(c_p0, s4, c_read_h_owned) | (~node61(c_p0, s4))),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[17691, 2268, 22923])).
% 50.82/33.49 tff(22952,plain,
% 50.82/33.49 (~node61(c_p0, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[22951, 22950])).
% 50.82/33.49 tff(22953,plain,
% 50.82/33.49 (~m_processor_v_abort(c_p0, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[1881, 22952, 1371])).
% 50.82/33.49 tff(22954,plain,
% 50.82/33.49 (node48(c_p0, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[16905, 22953, 22926, 21728, 22925, 22924, 22921])).
% 50.82/33.49 tff(22955,plain,
% 50.82/33.49 ($false),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[16886, 16883, 22950, 22954])).
% 50.82/33.49 tff(22956,plain,(node52(c_p0, s4, s5) | m_processor_v_REPLY_h_STALL(c_p0, s4) | (~m_memory_v_cmd(c_m, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_snoop(c_p0, s4, c_owned) | m_processor_v_snoop(c_p0, s4, c_shared)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.49 tff(22957,plain,
% 50.82/33.49 (node52(c_p0, s4, s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[22956, 22756, 1371, 1620, 1752, 22913, 22912])).
% 50.82/33.49 tff(22958,plain,
% 50.82/33.49 (m_processor_v_waiting(c_p0, s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[21695, 19457, 21693])).
% 50.82/33.49 tff(22959,plain,
% 50.82/33.49 (~node56(c_p0, s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[21281, 22958])).
% 50.82/33.49 tff(22960,plain,
% 50.82/33.49 (~m_processor_v_writable(c_p0, s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[19304, 22959])).
% 50.82/33.49 tff(22961,plain,
% 50.82/33.49 (~node67(s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[19296, 22960])).
% 50.82/33.49 tff(22962,plain,
% 50.82/33.49 (node67(s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[17905, 22961, 5932, 5949, 5668, 5667, 5091])).
% 50.82/33.49 tff(22963,plain,
% 50.82/33.49 (m_processor_v_writable(c_p0, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[73, 43, 22962])).
% 50.82/33.49 tff(22964,plain,
% 50.82/33.49 (~node56(c_p0, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[9373, 540, 19457])).
% 50.82/33.49 tff(22965,plain,
% 50.82/33.49 ($false),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[67, 28, 22964, 22963])).
% 50.82/33.49 tff(22966,plain,((~m_processor_v_waiting(c_p0, s4)) | node67(s8) | node67(s9) | node67(s6) | node67(s7) | m_processor_v_state(c_p1, s3, c_invalid) | (~node52(c_p0, s4, s5))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.49 tff(22967,plain,
% 50.82/33.49 (~m_processor_v_waiting(c_p0, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[22966, 22957, 5949, 5668, 5667, 2621, 5932])).
% 50.82/33.49 tff(22968,plain,
% 50.82/33.49 (~node52(c_p0, s3, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[10828, 22967, 10809])).
% 50.82/33.49 tff(22969,plain,
% 50.82/33.49 (m_processor_v_abort(c_p0, s3)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[11679, 22683, 22120, 6880, 22967, 2652, 11626, 11625, 22968])).
% 50.82/33.49 tff(22970,plain,
% 50.82/33.49 (node46(c_p0, s3, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[11697, 22969])).
% 50.82/33.49 tff(22971,plain,
% 50.82/33.49 ($false),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[11714, 11708, 22967, 22970, 10809])).
% 50.82/33.49 tff(22972,plain,(m_processor_v_master(c_p1, s3) | (~m_processor_v_waiting(c_p0, s3)) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_snoop(c_p0, s3, c_owned) | m_processor_v_snoop(c_p0, s3, c_shared) | node67(s9) | node67(s6) | node67(s7) | node67(s8) | m_processor_v_REPLY_h_STALL(c_p0, s4) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_snoop(c_p0, s3, c_invalid)) | m_memory_v_busy(c_m, s3) | (~m_processor_v_state(c_p1, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.49 tff(22973,plain,
% 50.82/33.49 (m_processor_v_master(c_p1, s3)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[22972, 22906, 22881, 22905, 22886, 5949, 52, 6553, 5932, 20076, 22710, 22384, 22388, 22387, 21258])).
% 50.82/33.49 tff(22974,plain,
% 50.82/33.49 (node63(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | node62(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | node65(c_p1, s3) | node64(c_p1, s3)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[10756, 7232, 21258])).
% 50.82/33.49 tff(22975,plain,
% 50.82/33.49 (m_processor_v_cmd(c_p1, s3, c_write_h_invalid)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[22974, 22973, 22904, 22902, 22901, 22897, 22899])).
% 50.82/33.49 tff(22976,plain,
% 50.82/33.49 (~m_processor_v_cmd(c_p1, s3, c_read_h_shared)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[16686, 11648, 22975])).
% 50.82/33.49 tff(22977,plain,
% 50.82/33.49 (~node16(s3)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[10569, 3386, 22973])).
% 50.82/33.49 tff(22978,plain,
% 50.82/33.49 (~m_processor_v_master(c_p2, s3)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[9562, 22977])).
% 50.82/33.49 tff(22979,plain,
% 50.82/33.49 (m_processor_v_cmd(c_p2, s3, c_idle)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[9594, 22978])).
% 50.82/33.49 tff(22980,plain,
% 50.82/33.49 (~m_processor_v_master(c_p0, s3)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[9444, 794, 22973])).
% 50.82/33.49 tff(22981,plain,
% 50.82/33.49 (m_processor_v_cmd(c_p0, s3, c_idle)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[10144, 22980])).
% 50.82/33.49 tff(22982,plain,
% 50.82/33.49 (~node29(c_m, s3)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[9855, 22387])).
% 50.82/33.49 tff(22983,plain,
% 50.82/33.49 (m_memory_v_cmd(c_m, s3, c_idle)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[9510, 22982])).
% 50.82/33.49 tff(22984,plain,
% 50.82/33.49 (~m_processor_v_cmd(c_p1, s3, c_idle)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[12098, 3630, 22975])).
% 50.82/33.49 tff(22985,plain,
% 50.82/33.49 (~node9(s3)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[10785, 22984])).
% 50.82/33.49 tff(22986,plain,
% 50.82/33.49 (node10(s3)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[10800, 22985, 22983, 22981, 22979])).
% 50.82/33.49 tff(22987,plain,
% 50.82/33.49 (~m_main_v_CMD(s3, c_read_h_shared)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[16693, 3512, 22986, 22976])).
% 50.82/33.49 tff(22988,plain,
% 50.82/33.49 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[10595, 22987])).
% 50.82/33.49 tff(22989,plain,
% 50.82/33.49 (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[16680, 3716, 22975])).
% 50.82/33.49 tff(22990,plain,
% 50.82/33.49 (~m_main_v_CMD(s3, c_read_h_owned)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[10695, 3512, 22986, 22989])).
% 50.82/33.49 tff(22991,plain,
% 50.82/33.49 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[12458, 22990])).
% 50.82/33.49 tff(22992,plain,
% 50.82/33.49 (~node61(c_p1, s3)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[12468, 22991, 22988])).
% 50.82/33.49 tff(22993,plain,
% 50.82/33.49 (m_processor_v_abort(c_p1, s3)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[12090, 22988, 21258, 22727, 22904, 22901, 22983, 22899, 22984, 22991])).
% 50.82/33.49 tff(22994,plain,
% 50.82/33.49 (m_processor_v_REPLY_h_STALL(c_p1, s3)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[12476, 22993, 22992])).
% 50.82/33.49 tff(22995,plain,
% 50.82/33.49 (m_main_v_REPLY_h_STALL(s3)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[12483, 22994])).
% 50.82/33.49 tff(22996,plain,
% 50.82/33.49 (m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[10502, 22995])).
% 50.82/33.49 tff(22997,plain,
% 50.82/33.49 (~node60(c_p0, s3)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[10494, 22996])).
% 50.82/33.49 tff(22998,plain,
% 50.82/33.49 (m_processor_v_abort(c_p0, s3)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[10486, 22997])).
% 50.82/33.49 tff(22999,plain,
% 50.82/33.49 (node39(c_p0, s3, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[22156, 22998])).
% 50.82/33.49 tff(23000,plain,
% 50.82/33.49 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | (m_processor_v_snoop(c_p0, s3, c_shared) | (~m_processor_v_snoop(c_p0, s4, c_shared)) | (~node39(c_p0, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | m_processor_v_snoop(c_p0, s3, c_shared) | (~m_processor_v_snoop(c_p0, s4, c_shared)) | (~node39(c_p0, s3, s4)))),
% 50.82/33.49 inference(rewrite,[status(thm)],[])).
% 50.82/33.49 tff(23001,plain,
% 50.82/33.49 (((~node39(c_p0, s3, s4)) | m_processor_v_snoop(c_p0, s3, c_shared) | (~m_processor_v_snoop(c_p0, s4, c_shared))) <=> (m_processor_v_snoop(c_p0, s3, c_shared) | (~m_processor_v_snoop(c_p0, s4, c_shared)) | (~node39(c_p0, s3, s4)))),
% 50.82/33.49 inference(rewrite,[status(thm)],[])).
% 50.82/33.49 tff(23002,plain,
% 50.82/33.49 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | ((~node39(c_p0, s3, s4)) | m_processor_v_snoop(c_p0, s3, c_shared) | (~m_processor_v_snoop(c_p0, s4, c_shared)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | (m_processor_v_snoop(c_p0, s3, c_shared) | (~m_processor_v_snoop(c_p0, s4, c_shared)) | (~node39(c_p0, s3, s4))))),
% 50.82/33.49 inference(monotonicity,[status(thm)],[23001])).
% 50.82/33.49 tff(23003,plain,
% 50.82/33.49 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | ((~node39(c_p0, s3, s4)) | m_processor_v_snoop(c_p0, s3, c_shared) | (~m_processor_v_snoop(c_p0, s4, c_shared)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | m_processor_v_snoop(c_p0, s3, c_shared) | (~m_processor_v_snoop(c_p0, s4, c_shared)) | (~node39(c_p0, s3, s4)))),
% 50.82/33.49 inference(transitivity,[status(thm)],[23002, 23000])).
% 50.82/33.49 tff(23004,plain,
% 50.82/33.49 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | ((~node39(c_p0, s3, s4)) | m_processor_v_snoop(c_p0, s3, c_shared) | (~m_processor_v_snoop(c_p0, s4, c_shared)))),
% 50.82/33.49 inference(quant_inst,[status(thm)],[])).
% 50.82/33.49 tff(23005,plain,
% 50.82/33.49 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | m_processor_v_snoop(c_p0, s3, c_shared) | (~m_processor_v_snoop(c_p0, s4, c_shared)) | (~node39(c_p0, s3, s4))),
% 50.82/33.49 inference(modus_ponens,[status(thm)],[23004, 23003])).
% 50.82/33.49 tff(23006,plain,
% 50.82/33.49 (~m_processor_v_snoop(c_p0, s4, c_shared)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[23005, 12808, 22999, 22886])).
% 50.82/33.49 tff(23007,plain,
% 50.82/33.49 (m_memory_v_REPLY_h_STALL(c_m, s3)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[22053, 22995])).
% 50.82/33.49 tff(23008,plain,
% 50.82/33.49 (~node26(c_m, s3)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[21967, 23007])).
% 50.82/33.49 tff(23009,plain,
% 50.82/33.49 (m_memory_v_abort(c_m, s3)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[19756, 23008])).
% 50.82/33.49 tff(23010,plain,
% 50.82/33.49 (node18(c_m, s3, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[9878, 23009])).
% 50.82/33.49 tff(23011,plain,
% 50.82/33.49 (~m_memory_v_busy(c_m, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[20093, 23010, 22387])).
% 50.82/33.49 tff(23012,plain,
% 50.82/33.49 (~node29(c_m, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[2077, 23011])).
% 50.82/33.49 tff(23013,plain,
% 50.82/33.49 (m_memory_v_cmd(c_m, s4, c_idle)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[1325, 23012])).
% 50.82/33.49 tff(23014,plain,
% 50.82/33.49 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | (m_processor_v_snoop(c_p0, s3, c_owned) | (~m_processor_v_snoop(c_p0, s4, c_owned)) | (~node39(c_p0, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | m_processor_v_snoop(c_p0, s3, c_owned) | (~m_processor_v_snoop(c_p0, s4, c_owned)) | (~node39(c_p0, s3, s4)))),
% 50.82/33.49 inference(rewrite,[status(thm)],[])).
% 50.82/33.49 tff(23015,plain,
% 50.82/33.49 (((~node39(c_p0, s3, s4)) | m_processor_v_snoop(c_p0, s3, c_owned) | (~m_processor_v_snoop(c_p0, s4, c_owned))) <=> (m_processor_v_snoop(c_p0, s3, c_owned) | (~m_processor_v_snoop(c_p0, s4, c_owned)) | (~node39(c_p0, s3, s4)))),
% 50.82/33.49 inference(rewrite,[status(thm)],[])).
% 50.82/33.49 tff(23016,plain,
% 50.82/33.49 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | ((~node39(c_p0, s3, s4)) | m_processor_v_snoop(c_p0, s3, c_owned) | (~m_processor_v_snoop(c_p0, s4, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | (m_processor_v_snoop(c_p0, s3, c_owned) | (~m_processor_v_snoop(c_p0, s4, c_owned)) | (~node39(c_p0, s3, s4))))),
% 50.82/33.49 inference(monotonicity,[status(thm)],[23015])).
% 50.82/33.49 tff(23017,plain,
% 50.82/33.49 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | ((~node39(c_p0, s3, s4)) | m_processor_v_snoop(c_p0, s3, c_owned) | (~m_processor_v_snoop(c_p0, s4, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | m_processor_v_snoop(c_p0, s3, c_owned) | (~m_processor_v_snoop(c_p0, s4, c_owned)) | (~node39(c_p0, s3, s4)))),
% 50.82/33.49 inference(transitivity,[status(thm)],[23016, 23014])).
% 50.82/33.49 tff(23018,plain,
% 50.82/33.49 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | ((~node39(c_p0, s3, s4)) | m_processor_v_snoop(c_p0, s3, c_owned) | (~m_processor_v_snoop(c_p0, s4, c_owned)))),
% 50.82/33.49 inference(quant_inst,[status(thm)],[])).
% 50.82/33.49 tff(23019,plain,
% 50.82/33.49 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | m_processor_v_snoop(c_p0, s3, c_owned) | (~m_processor_v_snoop(c_p0, s4, c_owned)) | (~node39(c_p0, s3, s4))),
% 50.82/33.49 inference(modus_ponens,[status(thm)],[23018, 23017])).
% 50.82/33.49 tff(23020,plain,
% 50.82/33.49 (~m_processor_v_snoop(c_p0, s4, c_owned)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[23019, 12808, 22999, 22905])).
% 50.82/33.49 tff(23021,plain,
% 50.82/33.49 (node46(c_p0, s3, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[11697, 22998])).
% 50.82/33.49 tff(23022,plain,
% 50.82/33.49 (m_processor_v_waiting(c_p0, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[11714, 11708, 23021, 22906])).
% 50.82/33.49 tff(23023,plain,
% 50.82/33.49 (~node52(c_p0, s4, s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[22966, 23022, 5949, 52, 6553, 21259, 5932])).
% 50.82/33.49 tff(23024,plain,
% 50.82/33.49 ($false),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[22956, 23023, 23020, 20076, 22710, 22384, 23013, 23006])).
% 50.82/33.49 tff(23025,plain,(node47(c_p1, s4) | node67(s9) | node67(s8) | m_processor_v_abort(c_p1, s4) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p0, s6, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.49 tff(23026,plain,
% 50.82/33.49 (node47(c_p1, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[23025, 1425, 5932, 5949, 13853, 5])).
% 50.82/33.49 tff(23027,plain,
% 50.82/33.49 (m_processor_v_CMD(c_p1, s4, c_read_h_shared)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[19271, 657, 23026])).
% 50.82/33.49 tff(23028,plain,
% 50.82/33.49 (m_processor_v_master(c_p1, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[19539, 12108, 23026])).
% 50.82/33.49 tff(23029,plain,
% 50.82/33.49 (node34(c_p1, s4, s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[17176, 23028, 1425])).
% 50.82/33.49 tff(23030,plain,
% 50.82/33.49 ($false),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[17497, 416, 19107, 23029, 23027])).
% 50.82/33.49 tff(23031,plain,(m_processor_v_abort(c_p1, s4) | node67(s8) | node67(s9) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p0, s6, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.49 tff(23032,plain,
% 50.82/33.49 (m_processor_v_abort(c_p1, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[23031, 5949, 5932, 13853, 5])).
% 50.82/33.49 tff(23033,plain,
% 50.82/33.49 (node46(c_p1, s4, s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[19521, 23032])).
% 50.82/33.49 tff(23034,plain,
% 50.82/33.49 (node67(s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[17905, 21270, 5932, 5949, 52, 6553, 5091])).
% 50.82/33.49 tff(23035,plain,
% 50.82/33.49 (m_processor_v_writable(c_p0, s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[19296, 23034])).
% 50.82/33.49 tff(23036,plain,
% 50.82/33.49 (node56(c_p0, s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[19304, 23035])).
% 50.82/33.49 tff(23037,plain,
% 50.82/33.49 (m_processor_v_state(c_p0, s5, c_owned)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[19314, 23036])).
% 50.82/33.49 tff(23038,plain,
% 50.82/33.49 (~m_processor_v_state(c_p0, s5, c_shared)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[1068, 23037])).
% 50.82/33.49 tff(23039,plain,
% 50.82/33.49 (m_processor_v_master(c_p0, s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[6996, 23037, 5])).
% 50.82/33.49 tff(23040,plain,
% 50.82/33.49 (~node32(c_p0, s5, s6)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[6980, 23037, 5])).
% 50.82/33.49 tff(23041,plain,
% 50.82/33.49 (~m_processor_v_abort(c_p0, s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[951, 23040])).
% 50.82/33.49 tff(23042,plain,
% 50.82/33.49 (node34(c_p0, s5, s6)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[887, 23041, 23039])).
% 50.82/33.49 tff(23043,plain,
% 50.82/33.49 (~m_processor_v_master(c_p1, s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[797, 794, 23039])).
% 50.82/33.49 tff(23044,plain,
% 50.82/33.49 (m_processor_v_cmd(c_p1, s5, c_idle)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[7028, 23043])).
% 50.82/33.49 tff(23045,plain,
% 50.82/33.49 (~m_main_v_CMD(s5, c_read_h_shared)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[21310, 23044, 5932, 5, 6553, 5949, 5671, 21270])).
% 50.82/33.49 tff(23046,plain,
% 50.82/33.49 (~node17(s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[21313, 23039])).
% 50.82/33.49 tff(23047,plain,
% 50.82/33.49 (~m_memory_v_master(c_m, s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[13600, 23046])).
% 50.82/33.49 tff(23048,plain,
% 50.82/33.49 (~node29(c_m, s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[7136, 23047])).
% 50.82/33.49 tff(23049,plain,
% 50.82/33.49 (m_memory_v_cmd(c_m, s5, c_idle)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[7144, 23048])).
% 50.82/33.49 tff(23050,plain,
% 50.82/33.49 (~node16(s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[21320, 23039])).
% 50.82/33.49 tff(23051,plain,
% 50.82/33.49 (~m_processor_v_master(c_p2, s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[13953, 23050])).
% 50.82/33.49 tff(23052,plain,
% 50.82/33.49 (m_processor_v_cmd(c_p2, s5, c_idle)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[7120, 23051])).
% 50.82/33.49 tff(23053,plain,
% 50.82/33.49 (node8(s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[7152, 1593, 23052, 23049, 23044])).
% 50.82/33.49 tff(23054,plain,
% 50.82/33.49 (~m_processor_v_state(c_p0, s5, c_invalid)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[21351, 23053, 23045, 5, 23039, 23042])).
% 50.82/33.49 tff(23055,plain,
% 50.82/33.49 (~node32(c_p0, s4, s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[1103, 23054, 54, 23038])).
% 50.82/33.49 tff(23056,plain,
% 50.82/33.49 (~m_processor_v_abort(c_p0, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[1124, 23055])).
% 50.82/33.49 tff(23057,plain,
% 50.82/33.49 (~m_processor_v_waiting(c_p0, s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[21281, 23036])).
% 50.82/33.49 tff(23058,plain,
% 50.82/33.49 (node60(c_p0, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[1353, 23056])).
% 50.82/33.49 tff(23059,plain,
% 50.82/33.49 (~m_processor_v_REPLY_h_STALL(c_p0, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[1368, 1355])).
% 50.82/33.49 tff(23060,plain,
% 50.82/33.49 (~m_main_v_REPLY_h_STALL(s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[1386, 23059])).
% 50.82/33.49 tff(23061,plain,
% 50.82/33.49 (m_processor_v_CMD(c_p1, s4, c_read_h_shared)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[2273, 2257, 1935])).
% 50.82/33.49 tff(23062,plain,
% 50.82/33.49 (m_main_v_CMD(s4, c_read_h_shared)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[1265, 23061])).
% 50.82/33.49 tff(23063,plain,
% 50.82/33.49 (m_processor_v_CMD(c_p0, s4, c_read_h_shared)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[1236, 23062])).
% 50.82/33.49 tff(23064,plain,
% 50.82/33.49 (m_processor_v_REPLY_h_WAITING(c_p1, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[19380, 2257])).
% 50.82/33.49 tff(23065,plain,
% 50.82/33.49 (m_main_v_REPLY_h_WAITING(s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[19374, 23064])).
% 50.82/33.49 tff(23066,plain,
% 50.82/33.49 (m_processor_v_REPLY_h_WAITING(c_p0, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[19340, 23065])).
% 50.82/33.49 tff(23067,assumption,(~node59(c_p0, s4)), introduced(assumption)).
% 50.82/33.49 tff(23068,plain,
% 50.82/33.49 ($false),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[19334, 724, 23067, 1355, 1899])).
% 50.82/33.49 tff(23069,plain,((~m_processor_v_REPLY_h_WAITING(c_p0, s4)) | node59(c_p0, s4) | (~node60(c_p0, s4))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.49 tff(23070,plain,
% 50.82/33.49 (node59(c_p0, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[23069, 23066, 1355])).
% 50.82/33.49 tff(23071,plain,
% 50.82/33.49 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s4, c_read_h_shared)) | (~node59(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)) | (~node59(c_p0, s4)))),
% 50.82/33.49 inference(rewrite,[status(thm)],[])).
% 50.82/33.49 tff(23072,plain,
% 50.82/33.49 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s4, c_read_h_shared)) | (~node59(c_p0, s4)))),
% 50.82/33.49 inference(quant_inst,[status(thm)],[])).
% 50.82/33.49 tff(23073,plain,
% 50.82/33.49 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)) | (~node59(c_p0, s4))),
% 50.82/33.49 inference(modus_ponens,[status(thm)],[23072, 23071])).
% 50.82/33.49 tff(23074,plain,
% 50.82/33.49 ($false),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[23073, 3834, 23070, 23063])).
% 50.82/33.49 tff(23075,plain,((~node61(c_p1, s4)) | (~node60(c_p0, s4)) | m_processor_v_CMD(c_p1, s4, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.49 tff(23076,plain,
% 50.82/33.49 (~node61(c_p1, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[23075, 1355, 1935])).
% 50.82/33.49 tff(23077,plain,
% 50.82/33.49 (m_processor_v_REPLY_h_STALL(c_p1, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[1422, 23076, 1407])).
% 50.82/33.49 tff(23078,plain,
% 50.82/33.49 ($false),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[1404, 23077, 23060])).
% 50.82/33.49 tff(23079,plain,((~node60(c_p0, s4)) | (~m_processor_v_abort(c_p1, s4)) | m_processor_v_CMD(c_p1, s4, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.49 tff(23080,plain,
% 50.82/33.49 (m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[23079, 23058, 1407])).
% 50.82/33.49 tff(23081,plain,
% 50.82/33.49 (m_main_v_CMD(s4, c_read_h_owned)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[2280, 23080])).
% 50.82/33.49 tff(23082,plain,
% 50.82/33.49 (m_processor_v_CMD(c_p0, s4, c_read_h_owned)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[1692, 23081])).
% 50.82/33.49 tff(23083,plain,
% 50.82/33.49 (node47(c_p0, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[1345, 23082, 21269, 23057, 23056])).
% 50.82/33.49 tff(23084,plain,
% 50.82/33.49 (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[1204, 23056, 21269, 23057])).
% 50.82/33.49 tff(23085,plain,
% 50.82/33.49 ($false),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[1337, 657, 23084, 23083])).
% 50.82/33.49 tff(23086,plain,(m_processor_v_state(c_p0, s4, c_owned) | (~m_processor_v_abort(c_p1, s4)) | m_processor_v_state(c_p0, s6, c_owned) | node67(s8) | node67(s9) | node67(s3) | m_processor_v_state(c_p1, s3, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.49 tff(23087,plain,
% 50.82/33.49 (m_processor_v_state(c_p0, s4, c_owned)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[23086, 23032, 5, 5932, 5949, 22383, 21259])).
% 50.82/33.49 tff(23088,plain,
% 50.82/33.49 (node32(c_p1, s4, s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[6859, 23032])).
% 50.82/33.49 tff(23089,plain,
% 50.82/33.49 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[16706, 23088, 19134])).
% 50.82/33.49 tff(23090,plain,
% 50.82/33.49 (m_processor_v_waiting(c_p0, s4) | m_processor_v_writable(c_p0, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[20187, 10614, 1752])).
% 50.82/33.49 tff(23091,plain,
% 50.82/33.49 (m_processor_v_writable(c_p0, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[23090, 9816])).
% 50.82/33.49 tff(23092,plain,
% 50.82/33.49 (node56(c_p0, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[67, 28, 23091])).
% 50.82/33.49 tff(23093,plain,
% 50.82/33.49 (m_processor_v_state(c_p0, s3, c_owned)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[9842, 9816, 1752])).
% 50.82/33.49 tff(23094,plain,
% 50.82/33.49 (m_processor_v_state(c_p0, s3, c_owned)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[9728, 12251, 1752])).
% 50.82/33.49 tff(23095,plain,
% 50.82/33.49 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[2665, 137, 23094])).
% 50.82/33.49 tff(23096,plain,
% 50.82/33.49 (~m_processor_v_state(c_p0, s3, c_shared)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[2661, 23094])).
% 50.82/33.49 tff(23097,plain,
% 50.82/33.49 (m_processor_v_snoop(c_p1, s3, c_invalid)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[22785, 23095, 12251, 23096, 6880, 2595])).
% 50.82/33.49 tff(23098,plain,
% 50.82/33.49 (~m_processor_v_snoop(c_p1, s3, c_shared)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[12038, 4096, 23097])).
% 50.82/33.49 tff(23099,plain,
% 50.82/33.49 (m_processor_v_abort(c_p1, s3)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[12778, 23098, 9505, 2595, 12563])).
% 50.82/33.49 tff(23100,plain,
% 50.82/33.49 (node46(c_p1, s3, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[12063, 23099])).
% 50.82/33.49 tff(23101,plain,
% 50.82/33.49 (m_processor_v_waiting(c_p1, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[12055, 21879, 12047])).
% 50.82/33.49 tff(23102,plain,
% 50.82/33.49 (m_processor_v_waiting(c_p1, s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[19513, 23101, 19504])).
% 50.82/33.49 tff(23103,plain,
% 50.82/33.49 (~node56(c_p1, s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[19116, 23102])).
% 50.82/33.49 tff(23104,plain,
% 50.82/33.49 (~m_processor_v_writable(c_p1, s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[88, 23103])).
% 50.82/33.49 tff(23105,plain,
% 50.82/33.49 (~node67(s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[103, 23104])).
% 50.82/33.49 tff(23106,plain,
% 50.82/33.49 (m_processor_v_writable(c_p1, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[22272, 23105, 5932, 21882, 5949, 5668, 5667, 21260])).
% 50.82/33.49 tff(23107,plain,
% 50.82/33.49 (node56(c_p1, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[6573, 23106])).
% 50.82/33.49 tff(23108,plain,
% 50.82/33.49 ($false),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[6603, 540, 23107, 23101])).
% 50.82/33.49 tff(23109,plain,((~m_processor_v_state(c_p1, s2, c_invalid)) | node67(s8) | node67(s9) | node67(s6) | node67(s7) | (~node46(c_p1, s4, s5)) | (~node46(c_p1, s3, s4)) | (~m_processor_v_state(c_p1, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.49 tff(23110,plain,
% 50.82/33.49 (~m_processor_v_state(c_p1, s2, c_invalid)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[23109, 23100, 5949, 5668, 5667, 19504, 5932, 2595])).
% 50.82/33.49 tff(23111,plain,
% 50.82/33.49 (m_processor_v_state(c_p0, s2, c_invalid)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[5074, 23110])).
% 50.82/33.49 tff(23112,plain,
% 50.82/33.49 (~node32(c_p0, s2, s3)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[5496, 23111, 23095])).
% 50.82/33.49 tff(23113,plain,
% 50.82/33.49 (~m_processor_v_abort(c_p0, s2)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[2704, 23112])).
% 50.82/33.49 tff(23114,plain,
% 50.82/33.49 (node60(c_p0, s2)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[10475, 23113])).
% 50.82/33.49 tff(23115,plain,
% 50.82/33.49 (~m_processor_v_REPLY_h_STALL(c_p0, s2)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[10468, 23114])).
% 50.82/33.49 tff(23116,plain,
% 50.82/33.49 (~m_main_v_REPLY_h_STALL(s2)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[10461, 23115])).
% 50.82/33.49 tff(23117,plain,
% 50.82/33.49 (~m_processor_v_REPLY_h_STALL(c_p1, s2)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[12354, 23116])).
% 50.82/33.49 tff(23118,plain,
% 50.82/33.49 (m_processor_v_master(c_p0, s2)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[9440, 23111, 6880, 12251])).
% 50.82/33.49 tff(23119,plain,
% 50.82/33.49 (node8(s2)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[5596, 23118])).
% 50.82/33.49 tff(23120,plain,
% 50.82/33.49 (m_processor_v_waiting(c_p1, s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[19513, 19505, 19504])).
% 50.82/33.49 tff(23121,plain,
% 50.82/33.49 (~node56(c_p1, s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[19116, 23120])).
% 50.82/33.49 tff(23122,plain,
% 50.82/33.49 (~m_processor_v_writable(c_p1, s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[88, 23121])).
% 50.82/33.49 tff(23123,plain,
% 50.82/33.49 (~node67(s5)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[103, 23122])).
% 50.82/33.49 tff(23124,plain,
% 50.82/33.49 (node67(s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[17905, 23123, 5932, 5949, 5668, 5667, 5091])).
% 50.82/33.49 tff(23125,plain,
% 50.82/33.49 (m_processor_v_writable(c_p1, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[6565, 23124])).
% 50.82/33.49 tff(23126,plain,
% 50.82/33.49 (node56(c_p1, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[6573, 23125])).
% 50.82/33.49 tff(23127,plain,
% 50.82/33.49 ($false),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[6603, 540, 23126, 19505])).
% 50.82/33.49 tff(23128,plain,((~m_processor_v_waiting(c_p1, s4)) | node67(s8) | node67(s9) | node67(s6) | node67(s7) | m_processor_v_state(c_p1, s3, c_invalid) | (~node46(c_p1, s4, s5))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.49 tff(23129,plain,
% 50.82/33.49 (~m_processor_v_waiting(c_p1, s4)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[23128, 5949, 5932, 5668, 5667, 2621, 19504])).
% 50.82/33.49 tff(23130,plain,
% 50.82/33.49 (~m_processor_v_waiting(c_p1, s3)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[12055, 23100, 23129])).
% 50.82/33.49 tff(23131,plain,
% 50.82/33.49 (~node30(c_m, s2)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[10355, 23118, 23111])).
% 50.82/33.49 tff(23132,plain,
% 50.82/33.49 (node7(s2)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[9916, 23116])).
% 50.82/33.49 tff(23133,plain,
% 50.82/33.49 (~m_memory_v_reply_h_stall(c_m, s2)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[9924, 23132])).
% 50.82/33.49 tff(23134,plain,
% 50.82/33.49 (~m_memory_v_busy(c_m, s2)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[9933, 23133, 23131])).
% 50.82/33.49 tff(23135,assumption,(~m_processor_v_cmd(c_p0, s2, c_read_h_shared)), introduced(assumption)).
% 50.82/33.49 tff(23136,plain,
% 50.82/33.49 (~node29(c_m, s2)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[17610, 9969])).
% 50.82/33.49 tff(23137,plain,
% 50.82/33.49 (m_memory_v_cmd(c_m, s2, c_idle)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[5195, 23136])).
% 50.82/33.49 tff(23138,plain,
% 50.82/33.49 (~m_memory_v_REPLY_h_STALL(c_m, s2)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[9940, 20899])).
% 50.82/33.49 tff(23139,plain,
% 50.82/33.49 (~m_memory_v_abort(c_m, s2)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[10249, 10361])).
% 50.82/33.49 tff(23140,plain,
% 50.82/33.49 (~node19(c_m, s2)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[10449, 23139, 9858])).
% 50.82/33.49 tff(23141,plain,
% 50.82/33.49 (~m_memory_v_REPLY_h_OWNED(c_m, s2)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[10452, 9969, 9858])).
% 50.82/33.49 tff(23142,plain,
% 50.82/33.49 (~m_main_v_REPLY_h_OWNED(s2)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[10560, 23141])).
% 50.82/33.49 tff(23143,plain,
% 50.82/33.49 (node5(s2)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[10199, 10196, 23142])).
% 50.82/33.49 tff(23144,plain,
% 50.82/33.49 (~m_processor_v_reply_h_owned(c_p1, s2)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[10336, 10333, 23143])).
% 50.82/33.49 tff(23145,plain,
% 50.82/33.49 (m_processor_v_master(c_p1, s2)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[10322, 23144, 2595])).
% 50.82/33.49 tff(23146,plain,
% 50.82/33.49 (m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[5298, 5286])).
% 50.82/33.49 tff(23147,plain,
% 50.82/33.49 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | (~node12(s2)) | m_processor_v_cmd(c_p0, s2, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~node12(s2)) | m_processor_v_cmd(c_p0, s2, c_read_h_shared))),
% 50.82/33.49 inference(rewrite,[status(thm)],[])).
% 50.82/33.49 tff(23148,plain,
% 50.82/33.49 (((~m_main_v_CMD(s2, c_read_h_shared)) | m_processor_v_cmd(c_p0, s2, c_read_h_shared) | (~node12(s2))) <=> ((~m_main_v_CMD(s2, c_read_h_shared)) | (~node12(s2)) | m_processor_v_cmd(c_p0, s2, c_read_h_shared))),
% 50.82/33.49 inference(rewrite,[status(thm)],[])).
% 50.82/33.49 tff(23149,plain,
% 50.82/33.49 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | m_processor_v_cmd(c_p0, s2, c_read_h_shared) | (~node12(s2)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | (~node12(s2)) | m_processor_v_cmd(c_p0, s2, c_read_h_shared)))),
% 50.82/33.49 inference(monotonicity,[status(thm)],[23148])).
% 50.82/33.49 tff(23150,plain,
% 50.82/33.49 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | m_processor_v_cmd(c_p0, s2, c_read_h_shared) | (~node12(s2)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~node12(s2)) | m_processor_v_cmd(c_p0, s2, c_read_h_shared))),
% 50.82/33.49 inference(transitivity,[status(thm)],[23149, 23147])).
% 50.82/33.49 tff(23151,plain,
% 50.82/33.49 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s2, c_read_h_shared)) | m_processor_v_cmd(c_p0, s2, c_read_h_shared) | (~node12(s2)))),
% 50.82/33.49 inference(quant_inst,[status(thm)],[])).
% 50.82/33.49 tff(23152,plain,
% 50.82/33.49 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~m_main_v_CMD(s2, c_read_h_shared)) | (~node12(s2)) | m_processor_v_cmd(c_p0, s2, c_read_h_shared)),
% 50.82/33.49 inference(modus_ponens,[status(thm)],[23151, 23150])).
% 50.82/33.49 tff(23153,plain,
% 50.82/33.49 ((~m_main_v_CMD(s2, c_read_h_shared)) | (~node12(s2))),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[23152, 3644, 23135])).
% 50.82/33.49 tff(23154,plain,
% 50.82/33.49 (~node12(s2)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[23153, 5286])).
% 50.82/33.49 tff(23155,plain,
% 50.82/33.49 ((~m_main_v_CMD(s2, c_read_h_shared)) | (~node8(s2))),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[8949, 2191, 23135])).
% 50.82/33.49 tff(23156,plain,
% 50.82/33.49 (~node8(s2)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[23155, 5286])).
% 50.82/33.49 tff(23157,plain,
% 50.82/33.49 (~m_processor_v_cmd(c_p1, s2, c_idle)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[16593, 23156, 23154, 5586])).
% 50.82/33.49 tff(23158,plain,
% 50.82/33.49 (m_processor_v_master(c_p1, s2)),
% 50.82/33.49 inference(unit_resolution,[status(thm)],[5564, 23157])).
% 50.82/33.49 tff(23159,plain,
% 50.82/33.49 (node34(c_p1, s2, s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5271, 23158, 8659])).
% 50.82/33.50 tff(23160,plain,
% 50.82/33.50 ($false),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5283, 416, 5277, 23159, 23146])).
% 50.82/33.50 tff(23161,plain,((~m_main_v_CMD(s2, c_read_h_shared)) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_abort(c_p1, s2) | (~m_memory_v_cmd(c_m, s2, c_idle)) | m_processor_v_cmd(c_p0, s2, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.50 tff(23162,plain,
% 50.82/33.50 (~m_main_v_CMD(s2, c_read_h_shared)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[23161, 8659, 5277, 5586, 23135])).
% 50.82/33.50 tff(23163,plain,
% 50.82/33.50 (~m_memory_v_CMD(c_m, s2, c_read_h_shared)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[20744, 23162])).
% 50.82/33.50 tff(23164,plain,
% 50.82/33.50 (m_memory_v_CMD(c_m, s2, c_read_h_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[17590, 23163, 17566, 10362, 9970])).
% 50.82/33.50 tff(23165,plain,
% 50.82/33.50 (m_main_v_CMD(s2, c_read_h_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[20814, 23164])).
% 50.82/33.50 tff(23166,plain,
% 50.82/33.50 (m_processor_v_CMD(c_p1, s2, c_read_h_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5401, 23165])).
% 50.82/33.50 tff(23167,plain,
% 50.82/33.50 (node47(c_p1, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5388, 23166, 5375, 5151, 8659])).
% 50.82/33.50 tff(23168,plain,
% 50.82/33.50 (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5415, 8659, 5375, 5151])).
% 50.82/33.50 tff(23169,plain,
% 50.82/33.50 ($false),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5419, 657, 23168, 23167])).
% 50.82/33.50 tff(23170,plain,(m_processor_v_abort(c_p1, s2) | m_processor_v_waiting(c_p1, s3) | (~m_processor_v_master(c_p1, s2)) | node22(c_m, s2, s3) | node19(c_m, s2) | m_memory_v_REPLY_h_STALL(c_m, s2) | m_processor_v_state(c_p1, s3, c_shared) | (~m_memory_v_cmd(c_m, s2, c_idle)) | m_processor_v_cmd(c_p0, s2, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.50 tff(23171,plain,
% 50.82/33.50 (m_processor_v_abort(c_p1, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[23170, 23145, 5375, 10380, 23140, 23138, 5140, 23137, 23135])).
% 50.82/33.50 tff(23172,plain,
% 50.82/33.50 (node61(c_p1, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12403, 23171, 20900])).
% 50.82/33.50 tff(23173,plain,
% 50.82/33.50 (m_main_v_REPLY_h_WAITING(s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12395, 23172])).
% 50.82/33.50 tff(23174,plain,
% 50.82/33.50 (m_processor_v_REPLY_h_WAITING(c_p0, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12384, 23173])).
% 50.82/33.50 tff(23175,plain,
% 50.82/33.50 (node59(c_p0, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12378, 23174, 10463])).
% 50.82/33.50 tff(23176,plain,
% 50.82/33.50 (node32(c_p1, s2, s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5121, 23171])).
% 50.82/33.50 tff(23177,plain,
% 50.82/33.50 (~m_processor_v_state(c_p1, s2, c_shared)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5444, 23176, 5140])).
% 50.82/33.50 tff(23178,plain,
% 50.82/33.50 (~node63(c_p1, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[9065, 23177])).
% 50.82/33.50 tff(23179,plain,
% 50.82/33.50 (~node62(c_p1, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[9058, 2781])).
% 50.82/33.50 tff(23180,plain,
% 50.82/33.50 (m_processor_v_state(c_p1, s2, c_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[3117, 23177, 2781])).
% 50.82/33.50 tff(23181,plain,
% 50.82/33.50 ((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_cmd(c_p1, s2, c_write_h_invalid) | node65(c_p1, s2) | (~m_processor_v_master(c_p1, s2)) | node62(c_p1, s2) | node63(c_p1, s2) | node64(c_p1, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[9108, 7232, 8582])).
% 50.82/33.50 tff(23182,plain,
% 50.82/33.50 ((~m_processor_v_state(c_p1, s2, c_owned)) | m_processor_v_cmd(c_p1, s2, c_write_h_invalid) | (~m_processor_v_master(c_p1, s2)) | node62(c_p1, s2) | node63(c_p1, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[23181, 17782, 17773])).
% 50.82/33.50 tff(23183,plain,
% 50.82/33.50 (m_processor_v_cmd(c_p1, s2, c_write_h_invalid)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[23182, 23180, 23145, 23179, 23178])).
% 50.82/33.50 tff(23184,plain,
% 50.82/33.50 (~m_processor_v_master(c_p0, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5370, 794, 5151])).
% 50.82/33.50 tff(23185,plain,
% 50.82/33.50 (m_processor_v_cmd(c_p0, s2, c_idle)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5366, 23184])).
% 50.82/33.50 tff(23186,plain,
% 50.82/33.50 (~m_processor_v_cmd(c_p0, s2, c_read_h_shared)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[8945, 3200, 23185])).
% 50.82/33.50 tff(23187,plain,
% 50.82/33.50 ((~m_main_v_CMD(s2, c_read_h_shared)) | (~node8(s2))),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[8949, 2191, 23186])).
% 50.82/33.50 tff(23188,plain,
% 50.82/33.50 (~node8(s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[23187, 5286])).
% 50.82/33.50 tff(23189,plain,
% 50.82/33.50 (node10(s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[8997, 23188, 5151])).
% 50.82/33.50 tff(23190,plain,
% 50.82/33.50 (m_main_v_CMD(s2, c_write_h_invalid)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[9091, 23189, 9083])).
% 50.82/33.50 tff(23191,plain,
% 50.82/33.50 ($false),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[8961, 8958, 5286, 23190])).
% 50.82/33.50 tff(23192,plain,((~m_main_v_CMD(s2, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s2, c_write_h_invalid)) | (~m_processor_v_master(c_p1, s2))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.50 tff(23193,plain,
% 50.82/33.50 (~m_main_v_CMD(s2, c_read_h_shared)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[23192, 23183, 23145])).
% 50.82/33.50 tff(23194,plain,
% 50.82/33.50 (~m_memory_v_CMD(c_m, s2, c_read_h_shared)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[20744, 23193])).
% 50.82/33.50 tff(23195,plain,
% 50.82/33.50 (m_memory_v_CMD(c_m, s2, c_read_h_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[17590, 23194, 10380, 23140, 23138])).
% 50.82/33.50 tff(23196,plain,
% 50.82/33.50 (m_main_v_CMD(s2, c_read_h_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[20814, 23195])).
% 50.82/33.50 tff(23197,plain,
% 50.82/33.50 (m_processor_v_CMD(c_p0, s2, c_read_h_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5645, 23196])).
% 50.82/33.50 tff(23198,plain,
% 50.82/33.50 ($false),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[19646, 707, 23197, 23175])).
% 50.82/33.50 tff(23199,plain,(m_memory_v_busy(c_m, s2) | (~node60(c_p0, s2)) | m_processor_v_state(c_p1, s2, c_invalid) | m_processor_v_waiting(c_p1, s3) | m_processor_v_cmd(c_p0, s2, c_read_h_shared) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_memory_v_busy(c_m, s3))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.50 tff(23200,plain,
% 50.82/33.50 (m_processor_v_cmd(c_p0, s2, c_read_h_shared)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[23199, 23134, 12189, 23110, 23130, 2595, 23114])).
% 50.82/33.50 tff(23201,plain,
% 50.82/33.50 (m_main_v_CMD(s2, c_read_h_shared)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5611, 23200, 23119])).
% 50.82/33.50 tff(23202,plain,
% 50.82/33.50 (m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5526, 23201])).
% 50.82/33.50 tff(23203,plain,
% 50.82/33.50 (~node59(c_p0, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12368, 23202])).
% 50.82/33.50 tff(23204,plain,
% 50.82/33.50 (~m_processor_v_REPLY_h_WAITING(c_p0, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12378, 23203, 23114])).
% 50.82/33.50 tff(23205,plain,
% 50.82/33.50 (~m_main_v_REPLY_h_WAITING(s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12384, 23204])).
% 50.82/33.50 tff(23206,plain,
% 50.82/33.50 (~node61(c_p1, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12395, 23205])).
% 50.82/33.50 tff(23207,plain,
% 50.82/33.50 (~m_processor_v_abort(c_p1, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12403, 23206, 23117])).
% 50.82/33.50 tff(23208,plain,
% 50.82/33.50 (m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5298, 23201])).
% 50.82/33.50 tff(23209,plain,
% 50.82/33.50 (~m_processor_v_master(c_p1, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5415, 23207, 23130, 23208])).
% 50.82/33.50 tff(23210,plain,
% 50.82/33.50 (m_processor_v_state(c_p1, s2, c_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5484, 23209, 2595])).
% 50.82/33.50 tff(23211,plain,
% 50.82/33.50 ($false),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[8749, 23210, 23209, 23098, 23208, 23207])).
% 50.82/33.50 tff(23212,plain,(m_memory_v_cmd(c_m, s3, c_idle) | (~m_processor_v_state(c_p1, s3, c_owned)) | node67(s9) | node67(s6) | node67(s7) | (~node46(c_p1, s4, s5)) | node67(s8) | (~m_processor_v_state(c_p0, s4, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.50 tff(23213,plain,
% 50.82/33.50 (m_memory_v_cmd(c_m, s3, c_idle)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[23212, 2595, 5949, 5668, 5667, 19504, 5932, 1752])).
% 50.82/33.50 tff(23214,plain,
% 50.82/33.50 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[2665, 137, 23093])).
% 50.82/33.50 tff(23215,plain,
% 50.82/33.50 (m_processor_v_snoop(c_p1, s3, c_invalid)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[22785, 10787, 2722, 2723, 1095, 2595])).
% 50.82/33.50 tff(23216,plain,
% 50.82/33.50 (m_processor_v_cmd(c_p1, s3, c_write_h_invalid)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12429, 23215, 2595, 10644, 9446])).
% 50.82/33.50 tff(23217,plain,
% 50.82/33.50 (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[16680, 3716, 23216])).
% 50.82/33.50 tff(23218,plain,
% 50.82/33.50 (node10(s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[10800, 12072, 10786, 12071, 10788])).
% 50.82/33.50 tff(23219,plain,
% 50.82/33.50 (~m_main_v_CMD(s3, c_read_h_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[10695, 3512, 23218, 23217])).
% 50.82/33.50 tff(23220,plain,
% 50.82/33.50 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12458, 23219])).
% 50.82/33.50 tff(23221,plain,
% 50.82/33.50 (~m_processor_v_snoop(c_p1, s3, c_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12043, 4071, 23215])).
% 50.82/33.50 tff(23222,plain,
% 50.82/33.50 (~node64(c_p1, s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[10718, 4082, 23221])).
% 50.82/33.50 tff(23223,plain,
% 50.82/33.50 (~m_processor_v_snoop(c_p1, s3, c_shared)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12038, 4096, 23215])).
% 50.82/33.50 tff(23224,plain,
% 50.82/33.50 (~node65(c_p1, s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[10761, 4107, 23223])).
% 50.82/33.50 tff(23225,plain,
% 50.82/33.50 (~m_processor_v_cmd(c_p1, s3, c_read_h_shared)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[16686, 11648, 23216])).
% 50.82/33.50 tff(23226,plain,
% 50.82/33.50 (~m_main_v_CMD(s3, c_read_h_shared)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[16693, 3512, 23218, 23225])).
% 50.82/33.50 tff(23227,plain,
% 50.82/33.50 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[10595, 23226])).
% 50.82/33.50 tff(23228,plain,
% 50.82/33.50 (m_processor_v_abort(c_p1, s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12090, 23227, 2595, 6713, 10644, 9446, 12071, 23224, 23222, 23220])).
% 50.82/33.50 tff(23229,plain,
% 50.82/33.50 (node46(c_p1, s3, s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12063, 23228])).
% 50.82/33.50 tff(23230,plain,
% 50.82/33.50 (~m_processor_v_state(c_p1, s2, c_invalid)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[23109, 23229, 5949, 5668, 5667, 19504, 5932, 2595])).
% 50.82/33.50 tff(23231,plain,
% 50.82/33.50 (m_processor_v_state(c_p0, s2, c_invalid)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5074, 23230])).
% 50.82/33.50 tff(23232,plain,
% 50.82/33.50 (m_processor_v_master(c_p0, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[9440, 5494, 1095, 9405])).
% 50.82/33.50 tff(23233,plain,
% 50.82/33.50 (~m_processor_v_state(c_p0, s2, c_invalid)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5647, 5499, 5500, 5501])).
% 50.82/33.50 tff(23234,plain,
% 50.82/33.50 (m_processor_v_state(c_p1, s2, c_invalid)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5074, 23233])).
% 50.82/33.50 tff(23235,plain,
% 50.82/33.50 (m_main_v_CMD(s2, c_read_h_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5372, 23234, 2595])).
% 50.82/33.50 tff(23236,plain,
% 50.82/33.50 ($false),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5645, 23235, 5637])).
% 50.82/33.50 tff(23237,plain,((~m_processor_v_master(c_p0, s2)) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_waiting(c_p0, s3) | m_processor_v_abort(c_p0, s2)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.50 tff(23238,plain,
% 50.82/33.50 (m_processor_v_abort(c_p0, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[23237, 23232, 2595, 5501])).
% 50.82/33.50 tff(23239,plain,
% 50.82/33.50 ($false),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[2704, 23238, 19586])).
% 50.82/33.50 tff(23240,plain,((~m_processor_v_state(c_p0, s2, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_waiting(c_p0, s3) | m_processor_v_state(c_p0, s3, c_invalid) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_master(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.50 tff(23241,plain,
% 50.82/33.50 (m_processor_v_waiting(c_p0, s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[23240, 23231, 2595, 2722, 1095, 10787])).
% 50.82/33.50 tff(23242,plain,
% 50.82/33.50 (~node61(c_p1, s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12468, 23220, 23227])).
% 50.82/33.50 tff(23243,plain,
% 50.82/33.50 (m_processor_v_REPLY_h_STALL(c_p1, s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12476, 23228, 23242])).
% 50.82/33.50 tff(23244,plain,
% 50.82/33.50 (m_main_v_REPLY_h_STALL(s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12483, 23243])).
% 50.82/33.50 tff(23245,plain,
% 50.82/33.50 (m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[10502, 23244])).
% 50.82/33.50 tff(23246,plain,
% 50.82/33.50 (~node60(c_p0, s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[10494, 23245])).
% 50.82/33.50 tff(23247,plain,
% 50.82/33.50 (m_processor_v_abort(c_p0, s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[10486, 23246])).
% 50.82/33.50 tff(23248,plain,
% 50.82/33.50 (node46(c_p0, s3, s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[11697, 23247])).
% 50.82/33.50 tff(23249,plain,
% 50.82/33.50 ($false),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[11714, 11708, 9816, 23248, 23241])).
% 50.82/33.50 tff(23250,plain,(m_processor_v_cmd(c_p1, s3, c_idle) | m_processor_v_waiting(c_p0, s4) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p0, s3, c_invalid) | m_processor_v_state(c_p0, s4, c_invalid) | node67(s9) | node67(s6) | node67(s7) | (~node46(c_p1, s4, s5)) | node67(s8) | m_processor_v_state(c_p1, s4, c_invalid) | m_processor_v_state(c_p0, s3, c_shared)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.50 tff(23251,plain,
% 50.82/33.50 (m_processor_v_cmd(c_p1, s3, c_idle)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[23250, 23214, 2595, 9816, 6880, 5949, 5668, 5667, 19504, 5932, 6713, 9826])).
% 50.82/33.50 tff(23252,plain,
% 50.82/33.50 (~m_processor_v_state(c_p0, s2, c_invalid)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[11716, 23251, 23213, 6880, 9816, 23093, 9826, 23092])).
% 50.82/33.50 tff(23253,plain,
% 50.82/33.50 (m_processor_v_state(c_p1, s2, c_invalid)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5074, 23252])).
% 50.82/33.50 tff(23254,plain,
% 50.82/33.50 (~node32(c_p1, s2, s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5107, 23253, 2621])).
% 50.82/33.50 tff(23255,plain,
% 50.82/33.50 (~m_processor_v_abort(c_p1, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5121, 23254])).
% 50.82/33.50 tff(23256,plain,
% 50.82/33.50 (node60(c_p1, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[9293, 23255])).
% 50.82/33.50 tff(23257,plain,
% 50.82/33.50 (~m_processor_v_state(c_p1, s2, c_shared)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5081, 23253])).
% 50.82/33.50 tff(23258,plain,
% 50.82/33.50 (m_processor_v_master(c_p1, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5131, 23257, 2621, 23253])).
% 50.82/33.50 tff(23259,plain,
% 50.82/33.50 (~m_processor_v_master(c_p0, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5370, 794, 23258])).
% 50.82/33.50 tff(23260,plain,
% 50.82/33.50 (~node17(s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5171, 23258])).
% 50.82/33.50 tff(23261,plain,
% 50.82/33.50 (~m_memory_v_master(c_m, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5179, 23260])).
% 50.82/33.50 tff(23262,plain,
% 50.82/33.50 (m_processor_v_snoop(c_p1, s3, c_invalid)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[8655, 23258])).
% 50.82/33.50 tff(23263,plain,
% 50.82/33.50 (m_main_v_CMD(s2, c_read_h_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5372, 23253, 2595])).
% 50.82/33.50 tff(23264,plain,
% 50.82/33.50 (m_memory_v_CMD(c_m, s2, c_read_h_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[9899, 23263])).
% 50.82/33.50 tff(23265,plain,
% 50.82/33.50 (~node30(c_m, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[9907, 23264])).
% 50.82/33.50 tff(23266,plain,
% 50.82/33.50 (~m_processor_v_REPLY_h_STALL(c_p1, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[9301, 23256])).
% 50.82/33.50 tff(23267,plain,
% 50.82/33.50 (~m_main_v_REPLY_h_STALL(s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[9309, 23266])).
% 50.82/33.50 tff(23268,plain,
% 50.82/33.50 (node7(s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[9916, 23267])).
% 50.82/33.50 tff(23269,plain,
% 50.82/33.50 (~m_memory_v_reply_h_stall(c_m, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[9924, 23268])).
% 50.82/33.50 tff(23270,plain,
% 50.82/33.50 (~m_memory_v_busy(c_m, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[9933, 23269, 23265])).
% 50.82/33.50 tff(23271,plain,
% 50.82/33.50 (~node25(c_m, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[9964, 23264])).
% 50.82/33.50 tff(23272,plain,
% 50.82/33.50 (~m_memory_v_REPLY_h_STALL(c_m, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[9940, 23267])).
% 50.82/33.50 tff(23273,plain,
% 50.82/33.50 (~node20(c_m, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[9950, 23264])).
% 50.82/33.50 tff(23274,plain,
% 50.82/33.50 (~m_main_v_CMD(s2, c_read_h_shared)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[8797, 23263])).
% 50.82/33.50 tff(23275,plain,
% 50.82/33.50 (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[8791, 23274])).
% 50.82/33.50 tff(23276,plain,
% 50.82/33.50 (~node47(c_p1, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5419, 657, 23275])).
% 50.82/33.50 tff(23277,plain,
% 50.82/33.50 (m_processor_v_waiting(c_p1, s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5403, 23276, 2621, 23253, 2595])).
% 50.82/33.50 tff(23278,plain,
% 50.82/33.50 (node27(c_m, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12330, 23277, 2595, 6713, 9816, 23129, 23273, 23272, 23271, 23270, 23262, 23261, 10644, 1752, 23259])).
% 50.82/33.50 tff(23279,plain,
% 50.82/33.50 (m_memory_v_REPLY_h_WAITING(c_m, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[10294, 23278])).
% 50.82/33.50 tff(23280,plain,
% 50.82/33.50 (m_main_v_REPLY_h_WAITING(s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[10301, 23279])).
% 50.82/33.50 tff(23281,plain,
% 50.82/33.50 (m_processor_v_REPLY_h_WAITING(c_p1, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[9340, 23280])).
% 50.82/33.50 tff(23282,plain,
% 50.82/33.50 (node59(c_p1, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[9332, 23281, 23256])).
% 50.82/33.50 tff(23283,plain,
% 50.82/33.50 (m_processor_v_CMD(c_p1, s2, c_read_h_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5401, 23263])).
% 50.82/33.50 tff(23284,plain,
% 50.82/33.50 ($false),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[10308, 707, 23283, 23282])).
% 50.82/33.50 tff(23285,plain,(m_processor_v_waiting(c_p0, s4) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s4, c_invalid) | (~m_processor_v_state(c_p0, s4, c_owned)) | node67(s9) | node67(s6) | node67(s7) | (~node46(c_p1, s4, s5)) | node67(s8)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.50 tff(23286,plain,
% 50.82/33.50 (m_processor_v_waiting(c_p0, s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[23285, 21258, 23089, 23087, 5949, 52, 6553, 23033, 5932])).
% 50.82/33.50 tff(23287,assumption,(node46(c_p0, s4, s5)), introduced(assumption)).
% 50.82/33.50 tff(23288,plain,
% 50.82/33.50 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s4)) | m_processor_v_waiting(c_p0, s5) | (~node46(c_p0, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s4)) | m_processor_v_waiting(c_p0, s5) | (~node46(c_p0, s4, s5)))),
% 50.82/33.50 inference(rewrite,[status(thm)],[])).
% 50.82/33.50 tff(23289,plain,
% 50.82/33.50 ((m_processor_v_waiting(c_p0, s5) | (~m_processor_v_waiting(c_p0, s4)) | (~node46(c_p0, s4, s5))) <=> ((~m_processor_v_waiting(c_p0, s4)) | m_processor_v_waiting(c_p0, s5) | (~node46(c_p0, s4, s5)))),
% 50.82/33.50 inference(rewrite,[status(thm)],[])).
% 50.82/33.50 tff(23290,plain,
% 50.82/33.50 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s5) | (~m_processor_v_waiting(c_p0, s4)) | (~node46(c_p0, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s4)) | m_processor_v_waiting(c_p0, s5) | (~node46(c_p0, s4, s5))))),
% 50.82/33.50 inference(monotonicity,[status(thm)],[23289])).
% 50.82/33.50 tff(23291,plain,
% 50.82/33.50 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s5) | (~m_processor_v_waiting(c_p0, s4)) | (~node46(c_p0, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s4)) | m_processor_v_waiting(c_p0, s5) | (~node46(c_p0, s4, s5)))),
% 50.82/33.50 inference(transitivity,[status(thm)],[23290, 23288])).
% 50.82/33.50 tff(23292,plain,
% 50.82/33.50 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s5) | (~m_processor_v_waiting(c_p0, s4)) | (~node46(c_p0, s4, s5)))),
% 50.82/33.50 inference(quant_inst,[status(thm)],[])).
% 50.82/33.50 tff(23293,plain,
% 50.82/33.50 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s4)) | m_processor_v_waiting(c_p0, s5) | (~node46(c_p0, s4, s5))),
% 50.82/33.50 inference(modus_ponens,[status(thm)],[23292, 23291])).
% 50.82/33.50 tff(23294,plain,
% 50.82/33.50 ((~m_processor_v_waiting(c_p0, s4)) | m_processor_v_waiting(c_p0, s5)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[23293, 11708, 23287])).
% 50.82/33.50 tff(23295,plain,
% 50.82/33.50 (m_processor_v_waiting(c_p0, s5)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[23294, 19457])).
% 50.82/33.50 tff(23296,plain,
% 50.82/33.50 (~node56(c_p0, s5)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[21281, 23295])).
% 50.82/33.50 tff(23297,plain,
% 50.82/33.50 (~m_processor_v_writable(c_p0, s5)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[19304, 23296])).
% 50.82/33.50 tff(23298,plain,
% 50.82/33.50 (~node67(s5)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[19296, 23297])).
% 50.82/33.50 tff(23299,plain,
% 50.82/33.50 (node67(s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[17905, 23298, 5932, 5949, 5668, 5667, 5091])).
% 50.82/33.50 tff(23300,plain,
% 50.82/33.50 (m_processor_v_writable(c_p0, s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[73, 43, 23299])).
% 50.82/33.50 tff(23301,plain,
% 50.82/33.50 ($false),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[67, 28, 22964, 23300])).
% 50.82/33.50 tff(23302,plain,((~m_processor_v_waiting(c_p0, s4)) | node67(s8) | node67(s9) | node67(s6) | node67(s7) | m_processor_v_state(c_p1, s3, c_invalid) | (~node46(c_p0, s4, s5))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.50 tff(23303,plain,
% 50.82/33.50 (~node46(c_p0, s4, s5)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[23302, 23286, 5949, 52, 6553, 21259, 5932])).
% 50.82/33.50 tff(23304,plain,
% 50.82/33.50 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s4)) | (~node53(c_p0, s4, s5)) | node46(c_p0, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s4)) | (~node53(c_p0, s4, s5)) | node46(c_p0, s4, s5))),
% 50.82/33.50 inference(rewrite,[status(thm)],[])).
% 50.82/33.50 tff(23305,plain,
% 50.82/33.50 (((~m_processor_v_abort(c_p0, s4)) | node46(c_p0, s4, s5) | (~node53(c_p0, s4, s5))) <=> ((~m_processor_v_abort(c_p0, s4)) | (~node53(c_p0, s4, s5)) | node46(c_p0, s4, s5))),
% 50.82/33.50 inference(rewrite,[status(thm)],[])).
% 50.82/33.50 tff(23306,plain,
% 50.82/33.50 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s4)) | node46(c_p0, s4, s5) | (~node53(c_p0, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s4)) | (~node53(c_p0, s4, s5)) | node46(c_p0, s4, s5)))),
% 50.82/33.50 inference(monotonicity,[status(thm)],[23305])).
% 50.82/33.50 tff(23307,plain,
% 50.82/33.50 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s4)) | node46(c_p0, s4, s5) | (~node53(c_p0, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s4)) | (~node53(c_p0, s4, s5)) | node46(c_p0, s4, s5))),
% 50.82/33.50 inference(transitivity,[status(thm)],[23306, 23304])).
% 50.82/33.50 tff(23308,plain,
% 50.82/33.50 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s4)) | node46(c_p0, s4, s5) | (~node53(c_p0, s4, s5)))),
% 50.82/33.50 inference(quant_inst,[status(thm)],[])).
% 50.82/33.50 tff(23309,plain,
% 50.82/33.50 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s4)) | (~node53(c_p0, s4, s5)) | node46(c_p0, s4, s5)),
% 50.82/33.50 inference(modus_ponens,[status(thm)],[23308, 23307])).
% 50.82/33.50 tff(23310,plain,
% 50.82/33.50 ((~m_processor_v_abort(c_p0, s4)) | node46(c_p0, s4, s5)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[23309, 11690, 1197])).
% 50.82/33.50 tff(23311,plain,
% 50.82/33.50 (~m_processor_v_abort(c_p0, s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[23310, 23303])).
% 50.82/33.50 tff(23312,plain,
% 50.82/33.50 (node60(c_p0, s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[1353, 23311])).
% 50.82/33.50 tff(23313,plain,
% 50.82/33.50 (~m_processor_v_REPLY_h_STALL(c_p0, s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[1368, 23312])).
% 50.82/33.50 tff(23314,plain,
% 50.82/33.50 (~m_main_v_REPLY_h_STALL(s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[1386, 23313])).
% 50.82/33.50 tff(23315,plain,
% 50.82/33.50 (~m_processor_v_REPLY_h_STALL(c_p1, s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[1404, 23314])).
% 50.82/33.50 tff(23316,plain,
% 50.82/33.50 (node61(c_p1, s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[1422, 23315, 23032])).
% 50.82/33.50 tff(23317,plain,
% 50.82/33.50 (m_processor_v_REPLY_h_WAITING(c_p1, s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[19380, 23316])).
% 50.82/33.50 tff(23318,plain,
% 50.82/33.50 (m_main_v_REPLY_h_WAITING(s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[19374, 23317])).
% 50.82/33.50 tff(23319,plain,
% 50.82/33.50 (m_processor_v_REPLY_h_WAITING(c_p0, s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[19340, 23318])).
% 50.82/33.50 tff(23320,plain,
% 50.82/33.50 (node59(c_p0, s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[23069, 23319, 23312])).
% 50.82/33.50 tff(23321,plain,
% 50.82/33.50 (m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[23079, 23312, 23032])).
% 50.82/33.50 tff(23322,plain,
% 50.82/33.50 (m_main_v_CMD(s4, c_read_h_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[2280, 23321])).
% 50.82/33.50 tff(23323,plain,
% 50.82/33.50 (m_processor_v_CMD(c_p0, s4, c_read_h_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[1692, 23322])).
% 50.82/33.50 tff(23324,plain,
% 50.82/33.50 ($false),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[19327, 707, 23323, 23320])).
% 50.82/33.50 tff(23325,plain,(node67(s9) | node67(s8) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_state(c_p1, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.50 tff(23326,plain,
% 50.82/33.50 (node67(s9)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[23325, 5698, 5, 13853])).
% 50.82/33.50 tff(23327,plain,
% 50.82/33.50 (m_processor_v_writable(c_p1, s9)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[6259, 23326])).
% 50.82/33.50 tff(23328,plain,
% 50.82/33.50 (node56(c_p1, s9)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[6267, 23327])).
% 50.82/33.50 tff(23329,plain,
% 50.82/33.50 (m_processor_v_state(c_p1, s9, c_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[6275, 23328])).
% 50.82/33.50 tff(23330,plain,
% 50.82/33.50 (~m_processor_v_state(c_p1, s9, c_invalid)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[6279, 137, 23329])).
% 50.82/33.50 tff(23331,plain,
% 50.82/33.50 (~m_processor_v_state(c_p1, s9, c_shared)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[6286, 121, 23329])).
% 50.82/33.50 tff(23332,plain,
% 50.82/33.50 (m_processor_v_waiting(c_p1, s9)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[6542, 23331, 5672, 23330])).
% 50.82/33.50 tff(23333,plain,
% 50.82/33.50 ($false),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[6546, 540, 23328, 23332])).
% 50.82/33.50 tff(23334,plain,(m_processor_v_state(c_p1, s8, c_owned) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_state(c_p1, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.50 tff(23335,plain,
% 50.82/33.50 (~m_processor_v_state(c_p1, s5, c_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[23334, 5672, 5])).
% 50.82/33.50 tff(23336,plain,
% 50.82/33.50 (~node56(c_p1, s5)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[80, 23335])).
% 50.82/33.50 tff(23337,plain,
% 50.82/33.50 (~m_processor_v_writable(c_p1, s5)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[88, 23336])).
% 50.82/33.50 tff(23338,plain,
% 50.82/33.50 (~node67(s5)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[103, 23337])).
% 50.82/33.50 tff(23339,plain,
% 50.82/33.50 (node67(s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[6549, 23338, 6553, 52, 5672])).
% 50.82/33.50 tff(23340,plain,
% 50.82/33.50 (m_processor_v_writable(c_p1, s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[6565, 23339])).
% 50.82/33.50 tff(23341,plain,
% 50.82/33.50 (node56(c_p1, s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[6573, 23340])).
% 50.82/33.50 tff(23342,plain,
% 50.82/33.50 (m_processor_v_state(c_p1, s3, c_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[6815, 23341])).
% 50.82/33.50 tff(23343,plain,
% 50.82/33.50 (~m_processor_v_waiting(c_p1, s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[6603, 540, 23341])).
% 50.82/33.50 tff(23344,plain,
% 50.82/33.50 (m_processor_v_state(c_p1, s4, c_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[6584, 23341])).
% 50.82/33.50 tff(23345,plain,
% 50.82/33.50 (~m_processor_v_state(c_p1, s4, c_shared)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[6591, 121, 23344])).
% 50.82/33.50 tff(23346,plain,
% 50.82/33.50 (m_processor_v_writable(c_p0, s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[73, 43, 23339])).
% 50.82/33.50 tff(23347,plain,
% 50.82/33.50 (node56(c_p0, s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[67, 28, 23346])).
% 50.82/33.50 tff(23348,plain,
% 50.82/33.50 (m_processor_v_master(c_p1, s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[6865, 23344, 23335])).
% 50.82/33.50 tff(23349,plain,
% 50.82/33.50 (~node17(s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[6871, 23348])).
% 50.82/33.50 tff(23350,plain,
% 50.82/33.50 (~m_memory_v_master(c_m, s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[1295, 23349])).
% 50.82/33.50 tff(23351,plain,
% 50.82/33.50 (m_processor_v_state(c_p0, s5, c_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[6931, 23339, 23335])).
% 50.82/33.50 tff(23352,plain,
% 50.82/33.50 (~node30(c_m, s5)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[7272, 23351, 5])).
% 50.82/33.50 tff(23353,plain,
% 50.82/33.50 (~node32(c_p0, s5, s6)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[6980, 23351, 5])).
% 50.82/33.50 tff(23354,plain,
% 50.82/33.50 (~m_processor_v_abort(c_p0, s5)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[951, 23353])).
% 50.82/33.50 tff(23355,plain,
% 50.82/33.50 (node60(c_p0, s5)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[7281, 23354])).
% 50.82/33.50 tff(23356,plain,
% 50.82/33.50 (~m_processor_v_REPLY_h_STALL(c_p0, s5)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[7289, 23355])).
% 50.82/33.50 tff(23357,plain,
% 50.82/33.50 (~m_main_v_REPLY_h_STALL(s5)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[7297, 23356])).
% 50.82/33.50 tff(23358,plain,
% 50.82/33.50 (node7(s5)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[7305, 23357])).
% 50.82/33.50 tff(23359,plain,
% 50.82/33.50 (~m_memory_v_reply_h_stall(c_m, s5)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[7313, 23358])).
% 50.82/33.50 tff(23360,plain,
% 50.82/33.50 (~m_memory_v_busy(c_m, s5)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[7322, 23359, 23352])).
% 50.82/33.50 tff(23361,plain,
% 50.82/33.50 (~m_memory_v_busy(c_m, s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[7451, 23360, 23350])).
% 50.82/33.50 tff(23362,plain,
% 50.82/33.50 (~m_processor_v_master(c_p0, s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[1437, 23348])).
% 50.82/33.50 tff(23363,plain,
% 50.82/33.50 (m_processor_v_state(c_p0, s4, c_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[1191, 23362, 23351])).
% 50.82/33.50 tff(23364,plain,
% 50.82/33.50 (m_processor_v_snoop(c_p1, s3, c_invalid)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[9812, 5698, 5949, 23335, 52, 6553])).
% 50.82/33.50 tff(23365,plain,
% 50.82/33.50 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[6599, 137, 23344])).
% 50.82/33.50 tff(23366,plain,
% 50.82/33.50 (m_processor_v_abort(c_p1, s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12333, 23342, 23365, 23343, 23364, 23363, 23361, 23347, 23345])).
% 50.82/33.50 tff(23367,plain,
% 50.82/33.50 (node46(c_p1, s3, s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12063, 23366])).
% 50.82/33.50 tff(23368,plain,
% 50.82/33.50 (~m_processor_v_waiting(c_p1, s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12055, 23367, 23343])).
% 50.82/33.50 tff(23369,plain,
% 50.82/33.50 (node32(c_p1, s3, s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[6640, 23366])).
% 50.82/33.50 tff(23370,plain,
% 50.82/33.50 (~m_processor_v_state(c_p1, s3, c_invalid)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[6812, 23369, 23365])).
% 50.82/33.50 tff(23371,plain,
% 50.82/33.50 (~m_processor_v_waiting(c_p0, s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[9373, 540, 23347])).
% 50.82/33.50 tff(23372,plain,
% 50.82/33.50 (m_processor_v_state(c_p0, s3, c_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[9842, 23371, 23363])).
% 50.82/33.50 tff(23373,plain,
% 50.82/33.50 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[2665, 137, 23372])).
% 50.82/33.50 tff(23374,plain,
% 50.82/33.50 (~m_processor_v_snoop(c_p1, s3, c_shared)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12038, 4096, 23364])).
% 50.82/33.50 tff(23375,plain,
% 50.82/33.50 (m_main_v_CMD(s2, c_read_h_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12410, 23368, 23342, 23374, 23347, 23373])).
% 50.82/33.50 tff(23376,plain,
% 50.82/33.50 (~m_main_v_CMD(s2, c_read_h_shared)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[8797, 23375])).
% 50.82/33.50 tff(23377,plain,
% 50.82/33.50 (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[8791, 23376])).
% 50.82/33.50 tff(23378,plain,
% 50.82/33.50 (~node47(c_p1, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5419, 657, 23377])).
% 50.82/33.50 tff(23379,plain,
% 50.82/33.50 (~m_processor_v_state(c_p1, s2, c_invalid)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5403, 23378, 23370, 23368, 23342])).
% 50.82/33.50 tff(23380,plain,
% 50.82/33.50 (m_processor_v_state(c_p0, s2, c_invalid)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5074, 23379])).
% 50.82/33.50 tff(23381,plain,
% 50.82/33.50 (~node32(c_p0, s2, s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5496, 23380, 23373])).
% 50.82/33.50 tff(23382,plain,
% 50.82/33.50 (~m_processor_v_abort(c_p0, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[2704, 23381])).
% 50.82/33.50 tff(23383,plain,
% 50.82/33.50 (m_processor_v_master(c_p0, s2)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[9671, 23380, 23347])).
% 50.82/33.50 tff(23384,plain,
% 50.82/33.50 (m_processor_v_waiting(c_p0, s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[5647, 23383, 23382, 23380])).
% 50.82/33.50 tff(23385,plain,
% 50.82/33.50 (~m_processor_v_state(c_p0, s3, c_shared)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[9823, 23371, 23363])).
% 50.82/33.50 tff(23386,plain,
% 50.82/33.50 (~m_processor_v_state(c_p0, s4, c_invalid)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[1757, 23363])).
% 50.82/33.50 tff(23387,plain,
% 50.82/33.50 (~node29(c_m, s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[10563, 23361, 23342, 23363])).
% 50.82/33.50 tff(23388,plain,
% 50.82/33.50 (m_memory_v_cmd(c_m, s3, c_idle)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[9510, 23387])).
% 50.82/33.50 tff(23389,plain,
% 50.82/33.50 (~m_processor_v_cmd(c_p1, s3, c_idle)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[11716, 23380, 23388, 23386, 23371, 23372, 23385, 23347])).
% 50.82/33.50 tff(23390,plain,
% 50.82/33.50 (~m_processor_v_state(c_p1, s3, c_shared)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[6667, 23369, 23345])).
% 50.82/33.50 tff(23391,plain,
% 50.82/33.50 (~node63(c_p1, s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[10643, 1809, 23390])).
% 50.82/33.50 tff(23392,plain,
% 50.82/33.50 (m_processor_v_cmd(c_p1, s3, c_write_h_invalid)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12429, 23391, 23364, 23342, 23389])).
% 50.82/33.50 tff(23393,plain,
% 50.82/33.50 (m_processor_v_master(c_p1, s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[9478, 23389])).
% 50.82/33.50 tff(23394,plain,
% 50.82/33.50 (~m_processor_v_master(c_p0, s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[9444, 794, 23393])).
% 50.82/33.50 tff(23395,plain,
% 50.82/33.50 (m_processor_v_cmd(c_p0, s3, c_idle)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[10144, 23394])).
% 50.82/33.50 tff(23396,plain,
% 50.82/33.50 (~node9(s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[10785, 23389])).
% 50.82/33.50 tff(23397,plain,
% 50.82/33.50 (~node16(s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[10569, 3386, 23393])).
% 50.82/33.50 tff(23398,plain,
% 50.82/33.50 (~m_processor_v_master(c_p2, s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[9562, 23397])).
% 50.82/33.50 tff(23399,plain,
% 50.82/33.50 (m_processor_v_cmd(c_p2, s3, c_idle)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[9594, 23398])).
% 50.82/33.50 tff(23400,plain,
% 50.82/33.50 (node10(s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[10800, 23399, 23388, 23396, 23395])).
% 50.82/33.50 tff(23401,plain,
% 50.82/33.50 (m_main_v_CMD(s3, c_write_h_invalid)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12441, 23400, 23392])).
% 50.82/33.50 tff(23402,plain,
% 50.82/33.50 (~m_main_v_CMD(s3, c_read_h_shared)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[11385, 8958, 23401])).
% 50.82/33.50 tff(23403,plain,
% 50.82/33.50 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[10595, 23402])).
% 50.82/33.50 tff(23404,plain,
% 50.82/33.50 (~m_main_v_CMD(s3, c_read_h_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12454, 12451, 23401])).
% 50.82/33.50 tff(23405,plain,
% 50.82/33.50 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12458, 23404])).
% 50.82/33.50 tff(23406,plain,
% 50.82/33.50 (~node61(c_p1, s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12468, 23405, 23403])).
% 50.82/33.50 tff(23407,plain,
% 50.82/33.50 (m_processor_v_REPLY_h_STALL(c_p1, s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12476, 23406, 23366])).
% 50.82/33.50 tff(23408,plain,
% 50.82/33.50 (m_main_v_REPLY_h_STALL(s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12483, 23407])).
% 50.82/33.50 tff(23409,plain,
% 50.82/33.50 (m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[10502, 23408])).
% 50.82/33.50 tff(23410,plain,
% 50.82/33.50 (~node60(c_p0, s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[10494, 23409])).
% 50.82/33.50 tff(23411,plain,
% 50.82/33.50 (m_processor_v_abort(c_p0, s3)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[10486, 23410])).
% 50.82/33.50 tff(23412,plain,
% 50.82/33.50 (node46(c_p0, s3, s4)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[11697, 23411])).
% 50.82/33.50 tff(23413,plain,
% 50.82/33.50 ($false),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[11714, 11708, 23371, 23412, 23384])).
% 50.82/33.50 tff(23414,plain,(m_processor_v_state(c_p1, s8, c_owned) | m_processor_v_state(c_p0, s6, c_owned) | node67(s9)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.50 tff(23415,plain,
% 50.82/33.50 (m_processor_v_state(c_p1, s8, c_owned)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[23414, 5, 5949])).
% 50.82/33.50 tff(23416,plain,
% 50.82/33.50 (node67(s8)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12490, 53, 5, 5949])).
% 50.82/33.50 tff(23417,plain,
% 50.82/33.50 (m_processor_v_writable(c_p0, s8)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12500, 23416])).
% 50.82/33.50 tff(23418,plain,
% 50.82/33.50 (node56(c_p0, s8)),
% 50.82/33.50 inference(unit_resolution,[status(thm)],[12508, 23417])).
% 50.82/33.50 tff(23419,plain,
% 50.82/33.51 (m_processor_v_state(c_p0, s7, c_owned)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[14719, 23418])).
% 50.82/33.51 tff(23420,plain,
% 50.82/33.51 (m_processor_v_master(c_p0, s6)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[2437, 23419, 5])).
% 50.82/33.51 tff(23421,plain,
% 50.82/33.51 (~m_processor_v_master(c_p1, s6)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[16318, 23420])).
% 50.82/33.51 tff(23422,plain,
% 50.82/33.51 (m_processor_v_state(c_p1, s7, c_invalid)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[18035, 23421, 5, 53])).
% 50.82/33.51 tff(23423,plain,
% 50.82/33.51 (m_processor_v_writable(c_p1, s8)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[5695, 98, 5689])).
% 50.82/33.51 tff(23424,plain,
% 50.82/33.51 (node56(c_p1, s8)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[5684, 28, 23423])).
% 50.82/33.51 tff(23425,plain,
% 50.82/33.51 (m_processor_v_master(c_p0, s7)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[14541, 16256, 14503])).
% 50.82/33.51 tff(23426,plain,
% 50.82/33.51 (~m_processor_v_master(c_p1, s7)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[13229, 794, 23425])).
% 50.82/33.51 tff(23427,plain,
% 50.82/33.51 (~m_processor_v_state(c_p1, s8, c_owned)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[13097, 13062, 23426, 4])).
% 50.82/33.51 tff(23428,plain,
% 50.82/33.51 ($false),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[5676, 13, 23427, 23424])).
% 50.82/33.51 tff(23429,plain,((~node67(s8)) | m_processor_v_state(c_p1, s7, c_owned) | (~m_processor_v_state(c_p1, s7, c_invalid)) | (~m_processor_v_state(c_p0, s7, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.51 tff(23430,plain,
% 50.82/33.51 (~m_processor_v_state(c_p0, s7, c_invalid)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[23429, 5689, 13058, 4])).
% 50.82/33.51 tff(23431,plain,
% 50.82/33.51 (m_processor_v_state(c_p0, s7, c_shared)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[2473, 23430, 3])).
% 50.82/33.51 tff(23432,plain,
% 50.82/33.51 ($false),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[14501, 16229, 23431, 55])).
% 50.82/33.51 tff(23433,plain,((~node67(s8)) | m_processor_v_master(c_p0, s7) | m_processor_v_state(c_p0, s7, c_owned) | (~m_processor_v_state(c_p1, s7, c_invalid)) | m_processor_v_state(c_p1, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.51 tff(23434,plain,
% 50.82/33.51 (m_processor_v_master(c_p0, s7)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[23433, 5689, 4, 3, 13058])).
% 50.82/33.51 tff(23435,plain,
% 50.82/33.51 ($false),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[13229, 794, 23434, 16233])).
% 50.82/33.51 tff(23436,plain,((~node67(s8)) | m_processor_v_state(c_p1, s7, c_owned) | m_processor_v_state(c_p0, s7, c_owned) | (~m_processor_v_state(c_p1, s7, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.51 tff(23437,plain,
% 50.82/33.51 (m_processor_v_state(c_p0, s7, c_owned)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[23436, 5689, 4, 13058])).
% 50.82/33.51 tff(23438,plain,
% 50.82/33.51 (m_processor_v_waiting(c_p0, s7)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[2570, 23437, 5])).
% 50.82/33.51 tff(23439,plain,
% 50.82/33.51 (~m_processor_v_waiting(c_p0, s8)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[14420, 16228])).
% 50.82/33.51 tff(23440,assumption,(node46(c_p0, s7, s8)), introduced(assumption)).
% 50.82/33.51 tff(23441,assumption,(m_processor_v_waiting(c_p0, s7)), introduced(assumption)).
% 50.82/33.51 tff(23442,plain,
% 50.82/33.51 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s7)) | m_processor_v_waiting(c_p0, s8) | (~node46(c_p0, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s7)) | m_processor_v_waiting(c_p0, s8) | (~node46(c_p0, s7, s8)))),
% 50.82/33.51 inference(rewrite,[status(thm)],[])).
% 50.82/33.51 tff(23443,plain,
% 50.82/33.51 ((m_processor_v_waiting(c_p0, s8) | (~m_processor_v_waiting(c_p0, s7)) | (~node46(c_p0, s7, s8))) <=> ((~m_processor_v_waiting(c_p0, s7)) | m_processor_v_waiting(c_p0, s8) | (~node46(c_p0, s7, s8)))),
% 50.82/33.51 inference(rewrite,[status(thm)],[])).
% 50.82/33.51 tff(23444,plain,
% 50.82/33.51 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s8) | (~m_processor_v_waiting(c_p0, s7)) | (~node46(c_p0, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s7)) | m_processor_v_waiting(c_p0, s8) | (~node46(c_p0, s7, s8))))),
% 50.82/33.51 inference(monotonicity,[status(thm)],[23443])).
% 50.82/33.51 tff(23445,plain,
% 50.82/33.51 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s8) | (~m_processor_v_waiting(c_p0, s7)) | (~node46(c_p0, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s7)) | m_processor_v_waiting(c_p0, s8) | (~node46(c_p0, s7, s8)))),
% 50.82/33.51 inference(transitivity,[status(thm)],[23444, 23442])).
% 50.82/33.51 tff(23446,plain,
% 50.82/33.51 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s8) | (~m_processor_v_waiting(c_p0, s7)) | (~node46(c_p0, s7, s8)))),
% 50.82/33.51 inference(quant_inst,[status(thm)],[])).
% 50.82/33.51 tff(23447,plain,
% 50.82/33.51 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s7)) | m_processor_v_waiting(c_p0, s8) | (~node46(c_p0, s7, s8))),
% 50.82/33.51 inference(modus_ponens,[status(thm)],[23446, 23445])).
% 50.82/33.51 tff(23448,plain,
% 50.82/33.51 ($false),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[23447, 11708, 23441, 14546, 23440])).
% 50.82/33.51 tff(23449,plain,((~node46(c_p0, s7, s8)) | (~m_processor_v_waiting(c_p0, s7)) | m_processor_v_waiting(c_p0, s8)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.51 tff(23450,plain,
% 50.82/33.51 (~node46(c_p0, s7, s8)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[23449, 23439, 23438])).
% 50.82/33.51 tff(23451,plain,
% 50.82/33.51 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s7)) | (~node53(c_p0, s7, s8)) | node46(c_p0, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s7)) | (~node53(c_p0, s7, s8)) | node46(c_p0, s7, s8))),
% 50.82/33.51 inference(rewrite,[status(thm)],[])).
% 50.82/33.51 tff(23452,plain,
% 50.82/33.51 (((~m_processor_v_abort(c_p0, s7)) | node46(c_p0, s7, s8) | (~node53(c_p0, s7, s8))) <=> ((~m_processor_v_abort(c_p0, s7)) | (~node53(c_p0, s7, s8)) | node46(c_p0, s7, s8))),
% 50.82/33.51 inference(rewrite,[status(thm)],[])).
% 50.82/33.51 tff(23453,plain,
% 50.82/33.51 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s7)) | node46(c_p0, s7, s8) | (~node53(c_p0, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s7)) | (~node53(c_p0, s7, s8)) | node46(c_p0, s7, s8)))),
% 50.82/33.51 inference(monotonicity,[status(thm)],[23452])).
% 50.82/33.51 tff(23454,plain,
% 50.82/33.51 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s7)) | node46(c_p0, s7, s8) | (~node53(c_p0, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s7)) | (~node53(c_p0, s7, s8)) | node46(c_p0, s7, s8))),
% 50.82/33.51 inference(transitivity,[status(thm)],[23453, 23451])).
% 50.82/33.51 tff(23455,plain,
% 50.82/33.51 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s7)) | node46(c_p0, s7, s8) | (~node53(c_p0, s7, s8)))),
% 50.82/33.51 inference(quant_inst,[status(thm)],[])).
% 50.82/33.51 tff(23456,plain,
% 50.82/33.51 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s7)) | (~node53(c_p0, s7, s8)) | node46(c_p0, s7, s8)),
% 50.82/33.51 inference(modus_ponens,[status(thm)],[23455, 23454])).
% 50.82/33.51 tff(23457,plain,
% 50.82/33.51 ((~m_processor_v_abort(c_p0, s7)) | node46(c_p0, s7, s8)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[23456, 11690, 14559])).
% 50.82/33.51 tff(23458,plain,
% 50.82/33.51 (~m_processor_v_abort(c_p0, s7)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[23457, 23450])).
% 50.82/33.51 tff(23459,plain,
% 50.82/33.51 (node60(c_p0, s7)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[15422, 23458])).
% 50.82/33.51 tff(23460,plain,
% 50.82/33.51 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p0, s7)) | m_processor_v_master(c_p0, s7) | m_processor_v_reply_h_waiting(c_p0, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s7)) | m_processor_v_master(c_p0, s7) | m_processor_v_reply_h_waiting(c_p0, s7))),
% 50.82/33.51 inference(rewrite,[status(thm)],[])).
% 50.82/33.51 tff(23461,plain,
% 50.82/33.51 ((m_processor_v_master(c_p0, s7) | (~m_processor_v_waiting(c_p0, s7)) | m_processor_v_reply_h_waiting(c_p0, s7)) <=> ((~m_processor_v_waiting(c_p0, s7)) | m_processor_v_master(c_p0, s7) | m_processor_v_reply_h_waiting(c_p0, s7))),
% 50.82/33.51 inference(rewrite,[status(thm)],[])).
% 50.82/33.51 tff(23462,plain,
% 50.82/33.51 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s7) | (~m_processor_v_waiting(c_p0, s7)) | m_processor_v_reply_h_waiting(c_p0, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p0, s7)) | m_processor_v_master(c_p0, s7) | m_processor_v_reply_h_waiting(c_p0, s7)))),
% 50.82/33.51 inference(monotonicity,[status(thm)],[23461])).
% 50.82/33.51 tff(23463,plain,
% 50.82/33.51 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s7) | (~m_processor_v_waiting(c_p0, s7)) | m_processor_v_reply_h_waiting(c_p0, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s7)) | m_processor_v_master(c_p0, s7) | m_processor_v_reply_h_waiting(c_p0, s7))),
% 50.82/33.51 inference(transitivity,[status(thm)],[23462, 23460])).
% 50.82/33.51 tff(23464,plain,
% 50.82/33.51 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s7) | (~m_processor_v_waiting(c_p0, s7)) | m_processor_v_reply_h_waiting(c_p0, s7))),
% 50.82/33.51 inference(quant_inst,[status(thm)],[])).
% 50.82/33.51 tff(23465,plain,
% 50.82/33.51 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s7)) | m_processor_v_master(c_p0, s7) | m_processor_v_reply_h_waiting(c_p0, s7)),
% 50.82/33.51 inference(modus_ponens,[status(thm)],[23464, 23463])).
% 50.82/33.51 tff(23466,plain,
% 50.82/33.51 (m_processor_v_reply_h_waiting(c_p0, s7)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[23465, 2296, 16234, 23438])).
% 50.82/33.51 tff(23467,assumption,(node6(s7)), introduced(assumption)).
% 50.82/33.51 tff(23468,assumption,(m_processor_v_reply_h_waiting(c_p0, s7)), introduced(assumption)).
% 50.82/33.51 tff(23469,plain,
% 50.82/33.51 (((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | ((~node6(s7)) | (~m_processor_v_reply_h_waiting(c_p0, s7)))) <=> ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | (~node6(s7)) | (~m_processor_v_reply_h_waiting(c_p0, s7)))),
% 50.82/33.51 inference(rewrite,[status(thm)],[])).
% 50.82/33.51 tff(23470,plain,
% 50.82/33.51 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | ((~node6(s7)) | (~m_processor_v_reply_h_waiting(c_p0, s7)))),
% 50.82/33.51 inference(quant_inst,[status(thm)],[])).
% 50.82/33.51 tff(23471,plain,
% 50.82/33.51 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | (~node6(s7)) | (~m_processor_v_reply_h_waiting(c_p0, s7))),
% 50.82/33.51 inference(modus_ponens,[status(thm)],[23470, 23469])).
% 50.82/33.51 tff(23472,plain,
% 50.82/33.51 ($false),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[23471, 778, 23468, 23467])).
% 50.82/33.51 tff(23473,plain,((~m_processor_v_reply_h_waiting(c_p0, s7)) | (~node6(s7))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.51 tff(23474,plain,
% 50.82/33.51 (~node6(s7)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[23473, 23466])).
% 50.82/33.51 tff(23475,assumption,(~node6(s7)), introduced(assumption)).
% 50.82/33.51 tff(23476,assumption,(~m_main_v_REPLY_h_WAITING(s7)), introduced(assumption)).
% 50.82/33.51 tff(23477,plain,
% 50.82/33.51 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | (m_main_v_REPLY_h_WAITING(s7) | node6(s7))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | m_main_v_REPLY_h_WAITING(s7) | node6(s7))),
% 50.82/33.51 inference(rewrite,[status(thm)],[])).
% 50.82/33.51 tff(23478,plain,
% 50.82/33.51 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | (m_main_v_REPLY_h_WAITING(s7) | node6(s7))),
% 50.82/33.51 inference(quant_inst,[status(thm)],[])).
% 50.82/33.51 tff(23479,plain,
% 50.82/33.51 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | m_main_v_REPLY_h_WAITING(s7) | node6(s7)),
% 50.82/33.51 inference(modus_ponens,[status(thm)],[23478, 23477])).
% 50.82/33.51 tff(23480,plain,
% 50.82/33.51 ($false),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[23479, 760, 23476, 23475])).
% 50.82/33.51 tff(23481,plain,(node6(s7) | m_main_v_REPLY_h_WAITING(s7)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.51 tff(23482,plain,
% 50.82/33.51 (m_main_v_REPLY_h_WAITING(s7)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[23481, 23474])).
% 50.82/33.51 tff(23483,assumption,(~m_processor_v_REPLY_h_WAITING(c_p0, s7)), introduced(assumption)).
% 50.82/33.51 tff(23484,assumption,(m_main_v_REPLY_h_WAITING(s7)), introduced(assumption)).
% 50.82/33.51 tff(23485,plain,
% 50.82/33.51 (((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | ((~m_main_v_REPLY_h_WAITING(s7)) | m_processor_v_REPLY_h_WAITING(c_p0, s7))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | (~m_main_v_REPLY_h_WAITING(s7)) | m_processor_v_REPLY_h_WAITING(c_p0, s7))),
% 50.82/33.51 inference(rewrite,[status(thm)],[])).
% 50.82/33.51 tff(23486,plain,
% 50.82/33.51 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | ((~m_main_v_REPLY_h_WAITING(s7)) | m_processor_v_REPLY_h_WAITING(c_p0, s7))),
% 50.82/33.51 inference(quant_inst,[status(thm)],[])).
% 50.82/33.51 tff(23487,plain,
% 50.82/33.51 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p0, X))) | (~m_main_v_REPLY_h_WAITING(s7)) | m_processor_v_REPLY_h_WAITING(c_p0, s7)),
% 50.82/33.51 inference(modus_ponens,[status(thm)],[23486, 23485])).
% 50.82/33.51 tff(23488,plain,
% 50.82/33.51 ($false),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[23487, 7774, 23484, 23483])).
% 50.82/33.51 tff(23489,plain,(m_processor_v_REPLY_h_WAITING(c_p0, s7) | (~m_main_v_REPLY_h_WAITING(s7))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.51 tff(23490,plain,
% 50.82/33.51 (m_processor_v_REPLY_h_WAITING(c_p0, s7)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[23489, 23482])).
% 50.82/33.51 tff(23491,assumption,(~node59(c_p0, s7)), introduced(assumption)).
% 50.82/33.51 tff(23492,assumption,(m_processor_v_REPLY_h_WAITING(c_p0, s7)), introduced(assumption)).
% 50.82/33.51 tff(23493,plain,
% 50.82/33.51 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p0, s7)) | (~node60(c_p0, s7)) | node59(c_p0, s7))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p0, s7)) | (~node60(c_p0, s7)) | node59(c_p0, s7))),
% 50.82/33.51 inference(rewrite,[status(thm)],[])).
% 50.82/33.51 tff(23494,plain,
% 50.82/33.51 ((node59(c_p0, s7) | (~node60(c_p0, s7)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s7))) <=> ((~m_processor_v_REPLY_h_WAITING(c_p0, s7)) | (~node60(c_p0, s7)) | node59(c_p0, s7))),
% 50.82/33.51 inference(rewrite,[status(thm)],[])).
% 50.82/33.51 tff(23495,plain,
% 50.82/33.51 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s7) | (~node60(c_p0, s7)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p0, s7)) | (~node60(c_p0, s7)) | node59(c_p0, s7)))),
% 50.82/33.51 inference(monotonicity,[status(thm)],[23494])).
% 50.82/33.51 tff(23496,plain,
% 50.82/33.51 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s7) | (~node60(c_p0, s7)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p0, s7)) | (~node60(c_p0, s7)) | node59(c_p0, s7))),
% 50.82/33.51 inference(transitivity,[status(thm)],[23495, 23493])).
% 50.82/33.51 tff(23497,plain,
% 50.82/33.51 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p0, s7) | (~node60(c_p0, s7)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s7)))),
% 50.82/33.51 inference(quant_inst,[status(thm)],[])).
% 50.82/33.51 tff(23498,plain,
% 50.82/33.51 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p0, s7)) | (~node60(c_p0, s7)) | node59(c_p0, s7)),
% 50.82/33.51 inference(modus_ponens,[status(thm)],[23497, 23496])).
% 50.82/33.51 tff(23499,plain,
% 50.82/33.51 ($false),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[23498, 724, 23492, 23491, 15424])).
% 50.82/33.51 tff(23500,plain,(node59(c_p0, s7) | (~m_processor_v_REPLY_h_WAITING(c_p0, s7)) | (~node60(c_p0, s7))), inference(lemma,lemma(discharge,[]))).
% 50.82/33.51 tff(23501,plain,
% 50.82/33.51 (node59(c_p0, s7)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[23500, 23490, 23459])).
% 50.82/33.51 tff(23502,plain,
% 50.82/33.51 (~m_processor_v_state(c_p1, s8, c_invalid)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[13056, 16232])).
% 50.82/33.51 tff(23503,plain,
% 50.82/33.51 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s7, c_invalid)) | m_processor_v_state(c_p1, s8, c_invalid) | (~node33(c_p1, s7, s8)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p1, s7, c_invalid)) | m_processor_v_state(c_p1, s8, c_invalid) | (~node33(c_p1, s7, s8)))),
% 50.82/33.51 inference(rewrite,[status(thm)],[])).
% 50.82/33.51 tff(23504,plain,
% 50.82/33.51 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s7, c_invalid)) | m_processor_v_state(c_p1, s8, c_invalid) | (~node33(c_p1, s7, s8)))),
% 50.82/33.51 inference(quant_inst,[status(thm)],[])).
% 50.82/33.51 tff(23505,plain,
% 50.82/33.51 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p1, s7, c_invalid)) | m_processor_v_state(c_p1, s8, c_invalid) | (~node33(c_p1, s7, s8))),
% 50.82/33.51 inference(modus_ponens,[status(thm)],[23504, 23503])).
% 50.82/33.51 tff(23506,plain,
% 50.82/33.51 (~node33(c_p1, s7, s8)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[23505, 399, 23502, 13058])).
% 50.82/33.51 tff(23507,plain,
% 50.82/33.51 (~node32(c_p1, s7, s8)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[13031, 16232, 4])).
% 50.82/33.51 tff(23508,plain,
% 50.82/33.51 (~m_processor_v_abort(c_p1, s7)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[13049, 23507])).
% 50.82/33.51 tff(23509,plain,
% 50.82/33.51 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p1, s7)) | m_processor_v_abort(c_p1, s7) | node34(c_p1, s7, s8) | (~node38(c_p1, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s7)) | m_processor_v_abort(c_p1, s7) | node34(c_p1, s7, s8) | (~node38(c_p1, s7, s8)))),
% 50.82/33.51 inference(rewrite,[status(thm)],[])).
% 50.82/33.51 tff(23510,plain,
% 50.82/33.51 ((node34(c_p1, s7, s8) | (~m_processor_v_master(c_p1, s7)) | (~node38(c_p1, s7, s8)) | m_processor_v_abort(c_p1, s7)) <=> ((~m_processor_v_master(c_p1, s7)) | m_processor_v_abort(c_p1, s7) | node34(c_p1, s7, s8) | (~node38(c_p1, s7, s8)))),
% 50.82/33.51 inference(rewrite,[status(thm)],[])).
% 50.82/33.51 tff(23511,plain,
% 50.82/33.51 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s7, s8) | (~m_processor_v_master(c_p1, s7)) | (~node38(c_p1, s7, s8)) | m_processor_v_abort(c_p1, s7))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p1, s7)) | m_processor_v_abort(c_p1, s7) | node34(c_p1, s7, s8) | (~node38(c_p1, s7, s8))))),
% 50.82/33.51 inference(monotonicity,[status(thm)],[23510])).
% 50.82/33.51 tff(23512,plain,
% 50.82/33.51 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s7, s8) | (~m_processor_v_master(c_p1, s7)) | (~node38(c_p1, s7, s8)) | m_processor_v_abort(c_p1, s7))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s7)) | m_processor_v_abort(c_p1, s7) | node34(c_p1, s7, s8) | (~node38(c_p1, s7, s8)))),
% 50.82/33.51 inference(transitivity,[status(thm)],[23511, 23509])).
% 50.82/33.51 tff(23513,plain,
% 50.82/33.51 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s7, s8) | (~m_processor_v_master(c_p1, s7)) | (~node38(c_p1, s7, s8)) | m_processor_v_abort(c_p1, s7))),
% 50.82/33.51 inference(quant_inst,[status(thm)],[])).
% 50.82/33.51 tff(23514,plain,
% 50.82/33.51 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s7)) | m_processor_v_abort(c_p1, s7) | node34(c_p1, s7, s8) | (~node38(c_p1, s7, s8))),
% 50.82/33.51 inference(modus_ponens,[status(thm)],[23513, 23512])).
% 50.82/33.51 tff(23515,plain,
% 50.82/33.51 ((~m_processor_v_master(c_p1, s7)) | m_processor_v_abort(c_p1, s7) | node34(c_p1, s7, s8)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[23514, 283, 13042])).
% 50.82/33.51 tff(23516,plain,
% 50.82/33.51 (node34(c_p1, s7, s8)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[23515, 23508, 16233])).
% 50.82/33.51 tff(23517,plain,
% 50.82/33.51 (~m_processor_v_state(c_p1, s8, c_shared)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[13150, 121, 16232])).
% 50.82/33.51 tff(23518,assumption,(node34(c_p1, s7, s8)), introduced(assumption)).
% 50.82/33.51 tff(23519,plain,
% 50.82/33.51 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~m_processor_v_CMD(c_p1, s7, c_read_h_shared)) | m_processor_v_state(c_p1, s8, c_shared) | (~node34(c_p1, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)) | m_processor_v_state(c_p1, s8, c_shared) | (~node34(c_p1, s7, s8)))),
% 50.82/33.51 inference(rewrite,[status(thm)],[])).
% 50.82/33.51 tff(23520,plain,
% 50.82/33.51 (((~node34(c_p1, s7, s8)) | m_processor_v_state(c_p1, s8, c_shared) | (~m_processor_v_CMD(c_p1, s7, c_read_h_shared))) <=> ((~m_processor_v_CMD(c_p1, s7, c_read_h_shared)) | m_processor_v_state(c_p1, s8, c_shared) | (~node34(c_p1, s7, s8)))),
% 50.82/33.51 inference(rewrite,[status(thm)],[])).
% 50.82/33.51 tff(23521,plain,
% 50.82/33.51 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s7, s8)) | m_processor_v_state(c_p1, s8, c_shared) | (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~m_processor_v_CMD(c_p1, s7, c_read_h_shared)) | m_processor_v_state(c_p1, s8, c_shared) | (~node34(c_p1, s7, s8))))),
% 50.82/33.51 inference(monotonicity,[status(thm)],[23520])).
% 50.82/33.51 tff(23522,plain,
% 50.82/33.51 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s7, s8)) | m_processor_v_state(c_p1, s8, c_shared) | (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)) | m_processor_v_state(c_p1, s8, c_shared) | (~node34(c_p1, s7, s8)))),
% 50.82/33.51 inference(transitivity,[status(thm)],[23521, 23519])).
% 50.82/33.51 tff(23523,plain,
% 50.82/33.51 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s7, s8)) | m_processor_v_state(c_p1, s8, c_shared) | (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)))),
% 50.82/33.51 inference(quant_inst,[status(thm)],[])).
% 50.82/33.51 tff(23524,plain,
% 50.82/33.51 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)) | m_processor_v_state(c_p1, s8, c_shared) | (~node34(c_p1, s7, s8))),
% 50.82/33.51 inference(modus_ponens,[status(thm)],[23523, 23522])).
% 50.82/33.51 tff(23525,plain,
% 50.82/33.51 (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)),
% 50.82/33.51 inference(unit_resolution,[status(thm)],[23524, 416, 6360, 23518])).
% 50.82/33.51 tff(23526,assumption,(~node33(c_p1, s7, s8)), introduced(assumption)).
% 50.82/33.51 tff(23527,assumption,(~m_processor_v_CMD(c_p1, s7, c_write_h_invalid)), introduced(assumption)).
% 50.82/33.51 tff(23528,plain,
% 50.82/33.51 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p1, s8, c_invalid) | (~node34(c_p1, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p1, s8, c_invalid) | (~node34(c_p1, s7, s8)))),
% 50.82/33.51 inference(rewrite,[status(thm)],[])).
% 50.82/33.51 tff(23529,plain,
% 50.82/33.51 (((~node34(c_p1, s7, s8)) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_state(c_p1, s8, c_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid))) <=> (m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p1, s8, c_invalid) | (~node34(c_p1, s7, s8)))),
% 50.82/33.51 inference(rewrite,[status(thm)],[])).
% 50.82/33.51 tff(23530,plain,
% 50.82/33.51 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s7, s8)) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_state(c_p1, s8, c_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p1, s8, c_invalid) | (~node34(c_p1, s7, s8))))),
% 50.82/33.51 inference(monotonicity,[status(thm)],[23529])).
% 50.82/33.51 tff(23531,plain,
% 50.82/33.51 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s7, s8)) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_state(c_p1, s8, c_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p1, s8, c_invalid) | (~node34(c_p1, s7, s8)))),
% 50.82/33.52 inference(transitivity,[status(thm)],[23530, 23528])).
% 50.82/33.52 tff(23532,plain,
% 50.82/33.52 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s7, s8)) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_state(c_p1, s8, c_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid)))),
% 50.82/33.52 inference(quant_inst,[status(thm)],[])).
% 50.82/33.52 tff(23533,plain,
% 50.82/33.52 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p1, s8, c_invalid) | (~node34(c_p1, s7, s8))),
% 50.82/33.52 inference(modus_ponens,[status(thm)],[23532, 23531])).
% 50.82/33.52 tff(23534,plain,
% 50.82/33.52 (m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid))),
% 50.82/33.52 inference(unit_resolution,[status(thm)],[23533, 438, 6397, 23518])).
% 50.82/33.52 tff(23535,plain,
% 50.82/33.52 (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid)),
% 50.82/33.52 inference(unit_resolution,[status(thm)],[23534, 13376, 23525, 23527])).
% 50.82/33.52 tff(23536,plain,
% 50.82/33.52 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s7, c_write_h_shared)) | m_processor_v_state(c_p1, s8, c_shared) | (~node34(c_p1, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s7, c_write_h_shared)) | m_processor_v_state(c_p1, s8, c_shared) | (~node34(c_p1, s7, s8)))),
% 50.82/33.52 inference(rewrite,[status(thm)],[])).
% 50.82/33.52 tff(23537,plain,
% 50.82/33.52 (((~node34(c_p1, s7, s8)) | m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s7, c_write_h_shared))) <=> (m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s7, c_write_h_shared)) | m_processor_v_state(c_p1, s8, c_shared) | (~node34(c_p1, s7, s8)))),
% 50.82/33.52 inference(rewrite,[status(thm)],[])).
% 50.82/33.52 tff(23538,plain,
% 50.82/33.52 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p1, s7, s8)) | m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s7, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | (m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s7, c_write_h_shared)) | m_processor_v_state(c_p1, s8, c_shared) | (~node34(c_p1, s7, s8))))),
% 50.82/33.52 inference(monotonicity,[status(thm)],[23537])).
% 50.82/33.52 tff(23539,plain,
% 50.82/33.52 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p1, s7, s8)) | m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s7, c_write_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s7, c_write_h_shared)) | m_processor_v_state(c_p1, s8, c_shared) | (~node34(c_p1, s7, s8)))),
% 50.82/33.52 inference(transitivity,[status(thm)],[23538, 23536])).
% 50.82/33.52 tff(23540,plain,
% 50.82/33.52 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | ((~node34(c_p1, s7, s8)) | m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s7, c_write_h_shared)))),
% 50.82/33.52 inference(quant_inst,[status(thm)],[])).
% 50.82/33.52 tff(23541,plain,
% 50.82/33.52 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_shared)))) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s7, c_write_h_shared)) | m_processor_v_state(c_p1, s8, c_shared) | (~node34(c_p1, s7, s8))),
% 50.82/33.52 inference(modus_ponens,[status(thm)],[23540, 23539])).
% 50.82/33.52 tff(23542,plain,
% 50.82/33.52 (m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s7, c_write_h_shared))),
% 50.82/33.52 inference(unit_resolution,[status(thm)],[23541, 456, 6360, 23518])).
% 50.82/33.52 tff(23543,plain,
% 50.82/33.52 (~m_processor_v_CMD(c_p1, s7, c_write_h_shared)),
% 50.82/33.52 inference(unit_resolution,[status(thm)],[23542, 23535, 23525, 23527, 13376])).
% 50.82/33.52 tff(23544,plain,
% 50.82/33.52 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_shared) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared) | node33(c_p1, s7, s8) | (~node34(c_p1, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_shared) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared) | node33(c_p1, s7, s8) | (~node34(c_p1, s7, s8)))),
% 50.82/33.52 inference(rewrite,[status(thm)],[])).
% 50.82/33.52 tff(23545,plain,
% 50.82/33.52 ((node33(c_p1, s7, s8) | (~node34(c_p1, s7, s8)) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_shared) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_shared) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared) | node33(c_p1, s7, s8) | (~node34(c_p1, s7, s8)))),
% 50.82/33.52 inference(rewrite,[status(thm)],[])).
% 50.82/33.52 tff(23546,plain,
% 50.82/33.52 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s7, s8) | (~node34(c_p1, s7, s8)) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_shared) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_shared) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared) | node33(c_p1, s7, s8) | (~node34(c_p1, s7, s8))))),
% 50.82/33.52 inference(monotonicity,[status(thm)],[23545])).
% 50.82/33.52 tff(23547,plain,
% 50.82/33.52 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s7, s8) | (~node34(c_p1, s7, s8)) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_shared) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_shared) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared) | node33(c_p1, s7, s8) | (~node34(c_p1, s7, s8)))),
% 50.82/33.52 inference(transitivity,[status(thm)],[23546, 23544])).
% 50.82/33.52 tff(23548,plain,
% 50.82/33.52 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p1, s7, s8) | (~node34(c_p1, s7, s8)) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_shared) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared))),
% 50.82/33.52 inference(quant_inst,[status(thm)],[])).
% 50.82/33.52 tff(23549,plain,
% 50.82/33.52 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_shared) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared) | node33(c_p1, s7, s8) | (~node34(c_p1, s7, s8))),
% 50.82/33.52 inference(modus_ponens,[status(thm)],[23548, 23547])).
% 50.82/33.52 tff(23550,plain,
% 50.82/33.52 (m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_shared) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared) | (~node34(c_p1, s7, s8))),
% 50.82/33.52 inference(unit_resolution,[status(thm)],[23549, 474, 23526])).
% 50.82/33.52 tff(23551,plain,
% 50.82/33.52 (m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared)),
% 50.82/33.52 inference(unit_resolution,[status(thm)],[23550, 23543, 23518, 23525, 23527, 13376, 23535])).
% 50.82/33.52 tff(23552,plain,
% 50.82/33.52 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_shared) | m_processor_v_state(c_p1, s8, c_shared) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared)) | (~node34(c_p1, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_shared) | m_processor_v_state(c_p1, s8, c_shared) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared)) | (~node34(c_p1, s7, s8)))),
% 50.82/33.52 inference(rewrite,[status(thm)],[])).
% 50.82/33.52 tff(23553,plain,
% 50.82/33.52 (((~node34(c_p1, s7, s8)) | m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared))) <=> (m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_shared) | m_processor_v_state(c_p1, s8, c_shared) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared)) | (~node34(c_p1, s7, s8)))),
% 50.82/33.52 inference(rewrite,[status(thm)],[])).
% 50.82/33.52 tff(23554,plain,
% 50.82/33.52 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s7, s8)) | m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_shared) | m_processor_v_state(c_p1, s8, c_shared) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared)) | (~node34(c_p1, s7, s8))))),
% 50.82/33.52 inference(monotonicity,[status(thm)],[23553])).
% 50.82/33.52 tff(23555,plain,
% 50.82/33.52 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s7, s8)) | m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_shared) | m_processor_v_state(c_p1, s8, c_shared) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared)) | (~node34(c_p1, s7, s8)))),
% 50.82/33.52 inference(transitivity,[status(thm)],[23554, 23552])).
% 50.82/33.52 tff(23556,plain,
% 50.82/33.52 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s7, s8)) | m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared)))),
% 50.82/33.52 inference(quant_inst,[status(thm)],[])).
% 50.82/33.52 tff(23557,plain,
% 50.82/33.52 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_shared) | m_processor_v_state(c_p1, s8, c_shared) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared)) | (~node34(c_p1, s7, s8))),
% 50.82/33.52 inference(modus_ponens,[status(thm)],[23556, 23555])).
% 50.82/33.52 tff(23558,plain,
% 50.82/33.52 (m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | m_processor_v_CMD(c_p1, s7, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared))),
% 50.82/33.52 inference(unit_resolution,[status(thm)],[23557, 492, 6360, 23518])).
% 50.82/33.52 tff(23559,plain,
% 50.82/33.52 ($false),
% 50.82/33.52 inference(unit_resolution,[status(thm)],[23558, 23551, 23543, 23525, 23527, 13376, 23535])).
% 50.82/33.52 tff(23560,plain,(m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | m_processor_v_state(c_p1, s8, c_shared) | (~node34(c_p1, s7, s8)) | node33(c_p1, s7, s8) | m_processor_v_state(c_p1, s8, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.53 tff(23561,plain,
% 50.82/33.53 (m_processor_v_CMD(c_p1, s7, c_write_h_invalid)),
% 50.82/33.53 inference(unit_resolution,[status(thm)],[23560, 13376, 6360, 23518, 23526, 6397])).
% 50.82/33.53 tff(23562,plain,
% 50.82/33.53 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s7, c_write_h_invalid)) | m_processor_v_state(c_p1, s8, c_invalid) | (~node34(c_p1, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s7, c_write_h_invalid)) | m_processor_v_state(c_p1, s8, c_invalid) | (~node34(c_p1, s7, s8)))),
% 50.82/33.53 inference(rewrite,[status(thm)],[])).
% 50.82/33.53 tff(23563,plain,
% 50.82/33.53 (((~node34(c_p1, s7, s8)) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_state(c_p1, s8, c_invalid) | (~m_processor_v_CMD(c_p1, s7, c_write_h_invalid))) <=> (m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s7, c_write_h_invalid)) | m_processor_v_state(c_p1, s8, c_invalid) | (~node34(c_p1, s7, s8)))),
% 50.82/33.53 inference(rewrite,[status(thm)],[])).
% 50.82/33.53 tff(23564,plain,
% 50.82/33.53 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s7, s8)) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_state(c_p1, s8, c_invalid) | (~m_processor_v_CMD(c_p1, s7, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s7, c_write_h_invalid)) | m_processor_v_state(c_p1, s8, c_invalid) | (~node34(c_p1, s7, s8))))),
% 50.82/33.53 inference(monotonicity,[status(thm)],[23563])).
% 50.82/33.53 tff(23565,plain,
% 50.82/33.53 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s7, s8)) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_state(c_p1, s8, c_invalid) | (~m_processor_v_CMD(c_p1, s7, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s7, c_write_h_invalid)) | m_processor_v_state(c_p1, s8, c_invalid) | (~node34(c_p1, s7, s8)))),
% 50.82/33.53 inference(transitivity,[status(thm)],[23564, 23562])).
% 50.82/33.53 tff(23566,plain,
% 50.82/33.53 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s7, s8)) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_state(c_p1, s8, c_invalid) | (~m_processor_v_CMD(c_p1, s7, c_write_h_invalid)))),
% 50.82/33.53 inference(quant_inst,[status(thm)],[])).
% 50.82/33.53 tff(23567,plain,
% 50.82/33.53 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s7, c_write_h_invalid)) | m_processor_v_state(c_p1, s8, c_invalid) | (~node34(c_p1, s7, s8))),
% 50.82/33.53 inference(modus_ponens,[status(thm)],[23566, 23565])).
% 50.82/33.53 tff(23568,plain,
% 50.82/33.53 (m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | (~m_processor_v_CMD(c_p1, s7, c_write_h_invalid))),
% 50.82/33.53 inference(unit_resolution,[status(thm)],[23567, 512, 6397, 23518])).
% 50.82/33.53 tff(23569,plain,
% 50.82/33.53 ($false),
% 50.82/33.53 inference(unit_resolution,[status(thm)],[23568, 23561, 13376, 23525])).
% 50.82/33.53 tff(23570,plain,(m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_state(c_p1, s8, c_invalid) | (~node34(c_p1, s7, s8)) | m_processor_v_state(c_p1, s8, c_shared) | node33(c_p1, s7, s8)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.53 tff(23571,plain,
% 50.82/33.53 (m_processor_v_CMD(c_p1, s7, c_read_h_owned)),
% 50.82/33.53 inference(unit_resolution,[status(thm)],[23570, 23517, 23516, 23502, 23506])).
% 50.82/33.53 tff(23572,assumption,(m_processor_v_CMD(c_p1, s7, c_read_h_owned)), introduced(assumption)).
% 50.82/33.53 tff(23573,plain,
% 50.82/33.53 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s7, c_read_h_owned) | (~node3(s7)) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s7, c_read_h_owned) | (~node3(s7)) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)))),
% 50.82/33.53 inference(rewrite,[status(thm)],[])).
% 50.82/33.53 tff(23574,plain,
% 50.82/33.53 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s7, c_read_h_owned) | (~node3(s7)) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)))),
% 50.82/33.53 inference(quant_inst,[status(thm)],[])).
% 50.82/33.53 tff(23575,plain,
% 50.82/33.53 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s7, c_read_h_owned) | (~node3(s7)) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned))),
% 50.82/33.53 inference(modus_ponens,[status(thm)],[23574, 23573])).
% 50.82/33.53 tff(23576,plain,
% 50.82/33.53 ($false),
% 50.82/33.53 inference(unit_resolution,[status(thm)],[23575, 1260, 13178, 13193, 23572])).
% 50.82/33.53 tff(23577,plain,((~m_processor_v_CMD(c_p1, s7, c_read_h_owned)) | m_main_v_CMD(s7, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.53 tff(23578,plain,
% 50.82/33.53 (m_main_v_CMD(s7, c_read_h_owned)),
% 50.82/33.53 inference(unit_resolution,[status(thm)],[23577, 23571])).
% 50.82/33.53 tff(23579,plain,
% 50.82/33.53 (m_processor_v_CMD(c_p0, s7, c_read_h_owned)),
% 50.82/33.53 inference(unit_resolution,[status(thm)],[14680, 23578])).
% 50.82/33.53 tff(23580,plain,
% 50.82/33.53 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~node59(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~node59(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)))),
% 50.82/33.53 inference(rewrite,[status(thm)],[])).
% 50.82/33.53 tff(23581,plain,
% 50.82/33.53 (((~m_processor_v_CMD(c_p0, s7, c_read_h_owned)) | (~node59(c_p0, s7))) <=> ((~node59(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)))),
% 50.82/33.53 inference(rewrite,[status(thm)],[])).
% 50.82/33.53 tff(23582,plain,
% 50.82/33.53 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s7, c_read_h_owned)) | (~node59(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~node59(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned))))),
% 50.82/33.53 inference(monotonicity,[status(thm)],[23581])).
% 50.82/33.53 tff(23583,plain,
% 50.82/33.53 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s7, c_read_h_owned)) | (~node59(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~node59(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)))),
% 50.82/33.53 inference(transitivity,[status(thm)],[23582, 23580])).
% 50.82/33.53 tff(23584,plain,
% 50.82/33.53 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s7, c_read_h_owned)) | (~node59(c_p0, s7)))),
% 50.82/33.53 inference(quant_inst,[status(thm)],[])).
% 50.82/33.53 tff(23585,plain,
% 50.82/33.53 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~node59(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned))),
% 50.82/33.53 inference(modus_ponens,[status(thm)],[23584, 23583])).
% 50.82/33.53 tff(23586,plain,
% 50.82/33.53 ($false),
% 50.82/33.53 inference(unit_resolution,[status(thm)],[23585, 707, 23579, 23501])).
% 50.82/33.53 tff(23587,plain,((~node67(s8)) | (~m_processor_v_state(c_p1, s7, c_invalid)) | m_processor_v_state(c_p1, s7, c_owned) | m_processor_v_state(c_p0, s6, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.53 tff(23588,plain,
% 50.82/33.53 (m_processor_v_state(c_p1, s7, c_owned)),
% 50.82/33.53 inference(unit_resolution,[status(thm)],[23587, 23422, 5, 23416])).
% 50.82/33.53 tff(23589,plain,
% 50.82/33.53 (~node63(c_p0, s7)),
% 50.82/33.53 inference(unit_resolution,[status(thm)],[13233, 1469, 55])).
% 50.82/33.53 tff(23590,plain,
% 50.82/33.53 (~node62(c_p0, s7)),
% 50.82/33.53 inference(unit_resolution,[status(thm)],[13237, 1493, 55])).
% 50.82/33.53 tff(23591,plain,
% 50.82/33.53 (~node64(c_p0, s7)),
% 50.82/33.53 inference(unit_resolution,[status(thm)],[13241, 1482, 55])).
% 50.82/33.53 tff(23592,plain,
% 50.82/33.53 (~node66(c_p0, s7)),
% 50.82/33.53 inference(unit_resolution,[status(thm)],[13245, 1446, 55])).
% 50.82/33.53 tff(23593,plain,
% 50.82/33.53 (~node65(c_p0, s7)),
% 50.82/33.53 inference(unit_resolution,[status(thm)],[13249, 1457, 55])).
% 50.82/33.53 tff(23594,assumption,(~m_processor_v_cmd(c_p0, s7, c_idle)), introduced(assumption)).
% 50.82/33.53 tff(23595,plain,
% 50.82/33.53 (node62(c_p0, s7) | node64(c_p0, s7) | node63(c_p0, s7) | node65(c_p0, s7) | node66(c_p0, s7)),
% 50.82/33.53 inference(unit_resolution,[status(thm)],[13256, 1508, 23594])).
% 50.82/33.53 tff(23596,plain,
% 50.82/33.53 ($false),
% 50.82/33.53 inference(unit_resolution,[status(thm)],[23595, 23593, 23592, 23591, 23590, 23589])).
% 50.82/33.53 tff(23597,plain,(m_processor_v_master(c_p0, s7) | m_processor_v_cmd(c_p0, s7, c_idle)), inference(lemma,lemma(discharge,[]))).
% 50.82/33.53 tff(23598,plain,
% 50.82/33.53 (m_processor_v_cmd(c_p0, s7, c_idle)),
% 50.82/33.53 inference(unit_resolution,[status(thm)],[23597, 55])).
% 50.82/33.53 tff(23599,plain,
% 50.82/33.53 (~m_processor_v_waiting(c_p0, s8)),
% 50.82/33.53 inference(unit_resolution,[status(thm)],[14420, 23418])).
% 50.82/33.53 tff(23600,plain,
% 50.82/33.53 (m_processor_v_waiting(c_p0, s7)),
% 50.82/33.53 inference(unit_resolution,[status(thm)],[2570, 23419, 5])).
% 50.82/33.53 tff(23601,plain,
% 50.82/33.53 (~node46(c_p0, s7, s8)),
% 50.82/33.53 inference(unit_resolution,[status(thm)],[23449, 23600, 23599])).
% 50.82/33.53 tff(23602,plain,
% 50.82/33.53 (~m_processor_v_abort(c_p0, s7)),
% 50.82/33.53 inference(unit_resolution,[status(thm)],[23457, 23601])).
% 50.82/33.53 tff(23603,plain,
% 50.82/33.53 (node60(c_p0, s7)),
% 50.82/33.53 inference(unit_resolution,[status(thm)],[15422, 23602])).
% 50.82/33.53 tff(23604,plain,
% 50.82/33.53 (~m_processor_v_state(c_p1, s8, c_shared)),
% 50.82/33.53 inference(unit_resolution,[status(thm)],[13150, 121, 23415])).
% 50.82/33.53 tff(23605,plain,
% 50.82/33.53 (~m_processor_v_state(c_p1, s8, c_invalid)),
% 50.82/33.53 inference(unit_resolution,[status(thm)],[13056, 23415])).
% 50.82/33.53 tff(23606,plain,
% 50.82/33.53 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p0, s7) | (~node47(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p0, s7) | (~node47(c_p0, s7)))),
% 50.82/33.53 inference(rewrite,[status(thm)],[])).
% 50.82/33.53 tff(23607,plain,
% 50.82/33.53 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p0, s7) | (~node47(c_p0, s7)))),
% 50.82/33.53 inference(quant_inst,[status(thm)],[])).
% 50.82/33.53 tff(23608,plain,
% 50.82/33.53 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p0, s7) | (~node47(c_p0, s7))),
% 50.82/33.53 inference(modus_ponens,[status(thm)],[23607, 23606])).
% 50.82/33.53 tff(23609,plain,
% 50.82/33.53 (~node47(c_p0, s7)),
% 50.82/33.53 inference(unit_resolution,[status(thm)],[23608, 12108, 55])).
% 50.82/33.53 tff(23610,assumption,(node52(c_p0, s7, s8)), introduced(assumption)).
% 50.82/33.53 tff(23611,plain,
% 50.82/33.53 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s7)) | m_processor_v_waiting(c_p0, s8) | (~node52(c_p0, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s7)) | m_processor_v_waiting(c_p0, s8) | (~node52(c_p0, s7, s8)))),
% 50.92/33.53 inference(rewrite,[status(thm)],[])).
% 50.92/33.53 tff(23612,plain,
% 50.92/33.53 ((m_processor_v_waiting(c_p0, s8) | (~m_processor_v_waiting(c_p0, s7)) | (~node52(c_p0, s7, s8))) <=> ((~m_processor_v_waiting(c_p0, s7)) | m_processor_v_waiting(c_p0, s8) | (~node52(c_p0, s7, s8)))),
% 50.92/33.53 inference(rewrite,[status(thm)],[])).
% 50.92/33.53 tff(23613,plain,
% 50.92/33.53 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s8) | (~m_processor_v_waiting(c_p0, s7)) | (~node52(c_p0, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s7)) | m_processor_v_waiting(c_p0, s8) | (~node52(c_p0, s7, s8))))),
% 50.92/33.53 inference(monotonicity,[status(thm)],[23612])).
% 50.92/33.53 tff(23614,plain,
% 50.92/33.53 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s8) | (~m_processor_v_waiting(c_p0, s7)) | (~node52(c_p0, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s7)) | m_processor_v_waiting(c_p0, s8) | (~node52(c_p0, s7, s8)))),
% 50.92/33.53 inference(transitivity,[status(thm)],[23613, 23611])).
% 50.92/33.53 tff(23615,plain,
% 50.92/33.53 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s8) | (~m_processor_v_waiting(c_p0, s7)) | (~node52(c_p0, s7, s8)))),
% 50.92/33.53 inference(quant_inst,[status(thm)],[])).
% 50.92/33.53 tff(23616,plain,
% 50.92/33.53 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s7)) | m_processor_v_waiting(c_p0, s8) | (~node52(c_p0, s7, s8))),
% 50.92/33.53 inference(modus_ponens,[status(thm)],[23615, 23614])).
% 50.92/33.53 tff(23617,plain,
% 50.92/33.53 ($false),
% 50.92/33.53 inference(unit_resolution,[status(thm)],[23616, 10820, 23441, 14546, 23610])).
% 50.92/33.53 tff(23618,plain,((~node52(c_p0, s7, s8)) | (~m_processor_v_waiting(c_p0, s7)) | m_processor_v_waiting(c_p0, s8)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.53 tff(23619,plain,
% 50.92/33.53 (~node52(c_p0, s7, s8)),
% 50.92/33.53 inference(unit_resolution,[status(thm)],[23618, 23600, 23599])).
% 50.92/33.53 tff(23620,plain,
% 50.92/33.53 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p0, s7) | (~node48(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p0, s7) | (~node48(c_p0, s7)))),
% 50.92/33.53 inference(rewrite,[status(thm)],[])).
% 50.92/33.53 tff(23621,plain,
% 50.92/33.53 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p0, s7) | (~node48(c_p0, s7)))),
% 50.92/33.53 inference(quant_inst,[status(thm)],[])).
% 50.92/33.53 tff(23622,plain,
% 50.92/33.53 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p0, s7) | (~node48(c_p0, s7))),
% 50.92/33.53 inference(modus_ponens,[status(thm)],[23621, 23620])).
% 50.92/33.53 tff(23623,plain,
% 50.92/33.53 (~node48(c_p0, s7)),
% 50.92/33.53 inference(unit_resolution,[status(thm)],[23622, 11562, 55])).
% 50.92/33.53 tff(23624,assumption,(~node47(c_p0, s7)), introduced(assumption)).
% 50.92/33.53 tff(23625,assumption,(m_main_v_CMD(s7, c_write_h_resp_h_invalid)), introduced(assumption)).
% 50.92/33.53 tff(23626,plain,
% 50.92/33.53 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid)))),
% 50.92/33.53 inference(rewrite,[status(thm)],[])).
% 50.92/33.53 tff(23627,plain,
% 50.92/33.53 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid)))),
% 50.92/33.53 inference(quant_inst,[status(thm)],[])).
% 50.92/33.53 tff(23628,plain,
% 50.92/33.53 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid))),
% 50.92/33.53 inference(modus_ponens,[status(thm)],[23627, 23626])).
% 50.92/33.53 tff(23629,plain,
% 50.92/33.53 (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid)),
% 50.92/33.53 inference(unit_resolution,[status(thm)],[23628, 4296, 13266])).
% 50.92/33.53 tff(23630,plain,
% 50.92/33.53 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid) | (~node8(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid) | (~node8(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)))),
% 50.92/33.53 inference(rewrite,[status(thm)],[])).
% 50.92/33.53 tff(23631,plain,
% 50.92/33.53 (((~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid)) <=> (m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid) | (~node8(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)))),
% 50.92/33.53 inference(rewrite,[status(thm)],[])).
% 50.92/33.53 tff(23632,plain,
% 50.92/33.53 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid) | (~node8(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid))))),
% 50.92/33.53 inference(monotonicity,[status(thm)],[23631])).
% 50.92/33.53 tff(23633,plain,
% 50.92/33.53 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid) | (~node8(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)))),
% 50.92/33.53 inference(transitivity,[status(thm)],[23632, 23630])).
% 50.92/33.53 tff(23634,plain,
% 50.92/33.53 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid))),
% 50.92/33.53 inference(quant_inst,[status(thm)],[])).
% 50.92/33.53 tff(23635,plain,
% 50.92/33.53 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid) | (~node8(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid))),
% 50.92/33.53 inference(modus_ponens,[status(thm)],[23634, 23633])).
% 50.92/33.53 tff(23636,plain,
% 50.92/33.53 ((~node8(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid))),
% 50.92/33.53 inference(unit_resolution,[status(thm)],[23635, 2191, 23629])).
% 50.92/33.53 tff(23637,plain,
% 50.92/33.53 (~node8(s7)),
% 50.92/33.53 inference(unit_resolution,[status(thm)],[23636, 23625])).
% 50.92/33.53 tff(23638,assumption,(node9(s7)), introduced(assumption)).
% 50.92/33.53 tff(23639,plain,
% 50.92/33.53 (((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | ((~node9(s7)) | m_processor_v_cmd(c_p2, s7, c_idle))) <=> ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | (~node9(s7)) | m_processor_v_cmd(c_p2, s7, c_idle))),
% 50.92/33.53 inference(rewrite,[status(thm)],[])).
% 50.92/33.53 tff(23640,plain,
% 50.92/33.53 ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | ((~node9(s7)) | m_processor_v_cmd(c_p2, s7, c_idle))),
% 50.92/33.53 inference(quant_inst,[status(thm)],[])).
% 50.92/33.53 tff(23641,plain,
% 50.92/33.53 ((~![X: $i] : ((~node9(X)) | m_processor_v_cmd(c_p2, X, c_idle))) | (~node9(s7)) | m_processor_v_cmd(c_p2, s7, c_idle)),
% 50.92/33.53 inference(modus_ponens,[status(thm)],[23640, 23639])).
% 50.92/33.53 tff(23642,plain,
% 50.92/33.53 (m_processor_v_cmd(c_p2, s7, c_idle)),
% 50.92/33.53 inference(unit_resolution,[status(thm)],[23641, 2146, 23638])).
% 50.92/33.53 tff(23643,plain,
% 50.92/33.53 (((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | ((~node9(s7)) | m_memory_v_cmd(c_m, s7, c_idle))) <=> ((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | (~node9(s7)) | m_memory_v_cmd(c_m, s7, c_idle))),
% 50.92/33.53 inference(rewrite,[status(thm)],[])).
% 50.92/33.53 tff(23644,plain,
% 50.92/33.53 ((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | ((~node9(s7)) | m_memory_v_cmd(c_m, s7, c_idle))),
% 50.92/33.53 inference(quant_inst,[status(thm)],[])).
% 50.92/33.53 tff(23645,plain,
% 50.92/33.53 ((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | (~node9(s7)) | m_memory_v_cmd(c_m, s7, c_idle)),
% 50.92/33.53 inference(modus_ponens,[status(thm)],[23644, 23643])).
% 50.92/33.53 tff(23646,plain,
% 50.92/33.53 (m_memory_v_cmd(c_m, s7, c_idle)),
% 50.92/33.53 inference(unit_resolution,[status(thm)],[23645, 2000, 23638])).
% 50.92/33.53 tff(23647,plain,
% 50.92/33.53 (m_processor_v_cmd(c_p1, s7, c_idle)),
% 50.92/33.53 inference(unit_resolution,[status(thm)],[13282, 3443, 23638])).
% 50.92/33.53 tff(23648,plain,
% 50.92/33.53 ((~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_memory_v_cmd(c_m, s7, c_idle))),
% 50.92/33.53 inference(unit_resolution,[status(thm)],[14642, 1593, 14626])).
% 50.92/33.53 tff(23649,plain,
% 50.92/33.53 ($false),
% 50.92/33.53 inference(unit_resolution,[status(thm)],[23648, 23647, 23646, 23642])).
% 50.92/33.53 tff(23650,plain,((~node9(s7)) | node8(s7)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.53 tff(23651,plain,
% 50.92/33.53 (~node9(s7)),
% 50.92/33.53 inference(unit_resolution,[status(thm)],[23650, 23637])).
% 50.92/33.53 tff(23652,assumption,(node11(s7)), introduced(assumption)).
% 50.92/33.53 tff(23653,plain,
% 50.92/33.53 (((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | (m_memory_v_cmd(c_m, s7, c_idle) | (~node11(s7)))) <=> ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | m_memory_v_cmd(c_m, s7, c_idle) | (~node11(s7)))),
% 50.92/33.53 inference(rewrite,[status(thm)],[])).
% 50.92/33.53 tff(23654,plain,
% 50.92/33.53 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | (m_memory_v_cmd(c_m, s7, c_idle) | (~node11(s7)))),
% 50.92/33.53 inference(quant_inst,[status(thm)],[])).
% 50.92/33.53 tff(23655,plain,
% 50.92/33.53 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | m_memory_v_cmd(c_m, s7, c_idle) | (~node11(s7))),
% 50.92/33.53 inference(modus_ponens,[status(thm)],[23654, 23653])).
% 50.92/33.53 tff(23656,plain,
% 50.92/33.53 (m_memory_v_cmd(c_m, s7, c_idle)),
% 50.92/33.53 inference(unit_resolution,[status(thm)],[23655, 2031, 23652])).
% 50.92/33.53 tff(23657,plain,
% 50.92/33.53 (((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (m_processor_v_cmd(c_p2, s7, c_idle) | (~node11(s7)))) <=> ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | m_processor_v_cmd(c_p2, s7, c_idle) | (~node11(s7)))),
% 50.92/33.53 inference(rewrite,[status(thm)],[])).
% 50.92/33.53 tff(23658,plain,
% 50.92/33.53 ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | (m_processor_v_cmd(c_p2, s7, c_idle) | (~node11(s7)))),
% 50.92/33.53 inference(quant_inst,[status(thm)],[])).
% 50.92/33.53 tff(23659,plain,
% 50.92/33.53 ((~![X: $i] : (m_processor_v_cmd(c_p2, X, c_idle) | (~node11(X)))) | m_processor_v_cmd(c_p2, s7, c_idle) | (~node11(s7))),
% 50.92/33.53 inference(modus_ponens,[status(thm)],[23658, 23657])).
% 50.92/33.53 tff(23660,plain,
% 50.92/33.53 (m_processor_v_cmd(c_p2, s7, c_idle)),
% 50.92/33.53 inference(unit_resolution,[status(thm)],[23659, 2157, 23652])).
% 50.92/33.53 tff(23661,plain,
% 50.92/33.53 ($false),
% 50.92/33.53 inference(unit_resolution,[status(thm)],[14643, 23660, 23656, 14626])).
% 50.92/33.53 tff(23662,plain,((~node11(s7)) | node8(s7) | (~m_processor_v_cmd(c_p1, s7, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.53 tff(23663,plain,
% 50.92/33.53 (~node11(s7)),
% 50.92/33.53 inference(unit_resolution,[status(thm)],[23662, 23637, 14636])).
% 50.92/33.53 tff(23664,plain,
% 50.92/33.53 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid) | (~node12(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid) | (~node12(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)))),
% 50.92/33.54 inference(rewrite,[status(thm)],[])).
% 50.92/33.54 tff(23665,plain,
% 50.92/33.54 (((~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid) | (~node12(s7))) <=> (m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid) | (~node12(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)))),
% 50.92/33.54 inference(rewrite,[status(thm)],[])).
% 50.92/33.54 tff(23666,plain,
% 50.92/33.54 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid) | (~node12(s7)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid) | (~node12(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid))))),
% 50.92/33.54 inference(monotonicity,[status(thm)],[23665])).
% 50.92/33.54 tff(23667,plain,
% 50.92/33.54 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid) | (~node12(s7)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid) | (~node12(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)))),
% 50.92/33.54 inference(transitivity,[status(thm)],[23666, 23664])).
% 50.92/33.54 tff(23668,plain,
% 50.92/33.54 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid) | (~node12(s7)))),
% 50.92/33.54 inference(quant_inst,[status(thm)],[])).
% 50.92/33.54 tff(23669,plain,
% 50.92/33.54 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid) | (~node12(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid))),
% 50.92/33.54 inference(modus_ponens,[status(thm)],[23668, 23667])).
% 50.92/33.54 tff(23670,plain,
% 50.92/33.54 ((~node12(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid))),
% 50.92/33.54 inference(unit_resolution,[status(thm)],[23669, 3644, 23629])).
% 50.92/33.54 tff(23671,plain,
% 50.92/33.54 (~node12(s7)),
% 50.92/33.54 inference(unit_resolution,[status(thm)],[23670, 23625])).
% 50.92/33.54 tff(23672,plain,
% 50.92/33.54 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | ((~m_processor_v_cmd(c_p0, s7, c_idle)) | node12(s7) | node9(s7) | node11(s7) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_memory_v_cmd(c_m, s7, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | node12(s7) | node9(s7) | node11(s7) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_memory_v_cmd(c_m, s7, c_idle)))),
% 50.92/33.54 inference(rewrite,[status(thm)],[])).
% 50.92/33.54 tff(23673,plain,
% 50.92/33.54 ((node9(s7) | node11(s7) | node12(s7) | (~m_memory_v_cmd(c_m, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_idle))) <=> ((~m_processor_v_cmd(c_p0, s7, c_idle)) | node12(s7) | node9(s7) | node11(s7) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_memory_v_cmd(c_m, s7, c_idle)))),
% 50.92/33.54 inference(rewrite,[status(thm)],[])).
% 50.92/33.54 tff(23674,plain,
% 50.92/33.54 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s7) | node11(s7) | node12(s7) | (~m_memory_v_cmd(c_m, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | ((~m_processor_v_cmd(c_p0, s7, c_idle)) | node12(s7) | node9(s7) | node11(s7) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_memory_v_cmd(c_m, s7, c_idle))))),
% 50.92/33.54 inference(monotonicity,[status(thm)],[23673])).
% 50.92/33.54 tff(23675,plain,
% 50.92/33.54 (((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s7) | node11(s7) | node12(s7) | (~m_memory_v_cmd(c_m, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | node12(s7) | node9(s7) | node11(s7) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_memory_v_cmd(c_m, s7, c_idle)))),
% 50.92/33.54 inference(transitivity,[status(thm)],[23674, 23672])).
% 50.92/33.54 tff(23676,plain,
% 50.92/33.54 ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s7) | node11(s7) | node12(s7) | (~m_memory_v_cmd(c_m, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_idle)))),
% 50.92/33.54 inference(quant_inst,[status(thm)],[])).
% 50.92/33.54 tff(23677,plain,
% 50.92/33.54 ((~![X: $i] : (node9(X) | node11(X) | node12(X) | (~m_memory_v_cmd(c_m, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | node12(s7) | node9(s7) | node11(s7) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_memory_v_cmd(c_m, s7, c_idle))),
% 50.92/33.54 inference(modus_ponens,[status(thm)],[23676, 23675])).
% 50.92/33.54 tff(23678,plain,
% 50.92/33.54 (node12(s7) | node9(s7) | node11(s7) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_memory_v_cmd(c_m, s7, c_idle))),
% 50.92/33.54 inference(unit_resolution,[status(thm)],[23677, 2171, 13266])).
% 50.92/33.54 tff(23679,plain,
% 50.92/33.54 (~m_memory_v_cmd(c_m, s7, c_idle)),
% 50.92/33.54 inference(unit_resolution,[status(thm)],[23678, 23663, 14636, 23651, 23671])).
% 50.92/33.54 tff(23680,plain,
% 50.92/33.54 (node29(c_m, s7)),
% 50.92/33.54 inference(unit_resolution,[status(thm)],[13225, 23679])).
% 50.92/33.54 tff(23681,plain,
% 50.92/33.54 (m_memory_v_master(c_m, s7)),
% 50.92/33.54 inference(unit_resolution,[status(thm)],[13217, 23680])).
% 50.92/33.54 tff(23682,plain,
% 50.92/33.54 (node17(s7)),
% 50.92/33.54 inference(unit_resolution,[status(thm)],[13209, 23681])).
% 50.92/33.54 tff(23683,assumption,(m_processor_v_master(c_p2, s7)), introduced(assumption)).
% 50.92/33.54 tff(23684,plain,
% 50.92/33.54 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~node17(s7)) | (~m_processor_v_master(c_p2, s7)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s7)) | (~m_processor_v_master(c_p2, s7)))),
% 50.92/33.54 inference(rewrite,[status(thm)],[])).
% 50.92/33.54 tff(23685,plain,
% 50.92/33.54 (((~m_processor_v_master(c_p2, s7)) | (~node17(s7))) <=> ((~node17(s7)) | (~m_processor_v_master(c_p2, s7)))),
% 50.92/33.54 inference(rewrite,[status(thm)],[])).
% 50.92/33.54 tff(23686,plain,
% 50.92/33.54 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s7)) | (~node17(s7)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~node17(s7)) | (~m_processor_v_master(c_p2, s7))))),
% 50.92/33.54 inference(monotonicity,[status(thm)],[23685])).
% 50.92/33.54 tff(23687,plain,
% 50.92/33.54 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s7)) | (~node17(s7)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s7)) | (~m_processor_v_master(c_p2, s7)))),
% 50.92/33.54 inference(transitivity,[status(thm)],[23686, 23684])).
% 50.92/33.54 tff(23688,plain,
% 50.92/33.54 ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s7)) | (~node17(s7)))),
% 50.92/33.54 inference(quant_inst,[status(thm)],[])).
% 50.92/33.54 tff(23689,plain,
% 50.92/33.54 ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s7)) | (~m_processor_v_master(c_p2, s7))),
% 50.92/33.54 inference(modus_ponens,[status(thm)],[23688, 23687])).
% 50.92/33.54 tff(23690,plain,
% 50.92/33.54 ($false),
% 50.92/33.54 inference(unit_resolution,[status(thm)],[23689, 2106, 23683, 13196])).
% 50.92/33.54 tff(23691,plain,((~node17(s7)) | (~m_processor_v_master(c_p2, s7))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.54 tff(23692,plain,
% 50.92/33.54 (~m_processor_v_master(c_p2, s7)),
% 50.92/33.54 inference(unit_resolution,[status(thm)],[23691, 23682])).
% 50.92/33.54 tff(23693,plain,
% 50.92/33.54 (m_processor_v_cmd(c_p2, s7, c_idle)),
% 50.92/33.54 inference(unit_resolution,[status(thm)],[13368, 23692])).
% 50.92/33.54 tff(23694,plain,
% 50.92/33.54 (((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | (m_memory_v_cmd(c_m, s7, c_idle) | (~node13(s7)))) <=> ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | m_memory_v_cmd(c_m, s7, c_idle) | (~node13(s7)))),
% 50.92/33.54 inference(rewrite,[status(thm)],[])).
% 50.92/33.54 tff(23695,plain,
% 50.92/33.54 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | (m_memory_v_cmd(c_m, s7, c_idle) | (~node13(s7)))),
% 50.92/33.54 inference(quant_inst,[status(thm)],[])).
% 50.92/33.54 tff(23696,plain,
% 50.92/33.54 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | m_memory_v_cmd(c_m, s7, c_idle) | (~node13(s7))),
% 50.92/33.54 inference(modus_ponens,[status(thm)],[23695, 23694])).
% 50.92/33.54 tff(23697,plain,
% 50.92/33.54 (~node13(s7)),
% 50.92/33.54 inference(unit_resolution,[status(thm)],[23696, 1986, 23679])).
% 50.92/33.54 tff(23698,assumption,(~node11(s7)), introduced(assumption)).
% 50.92/33.54 tff(23699,assumption,(~node9(s7)), introduced(assumption)).
% 50.92/33.54 tff(23700,assumption,(~node12(s7)), introduced(assumption)).
% 50.92/33.54 tff(23701,plain,
% 50.92/33.54 (~m_memory_v_cmd(c_m, s7, c_idle)),
% 50.92/33.54 inference(unit_resolution,[status(thm)],[23678, 14636, 23700, 23699, 23698])).
% 50.92/33.54 tff(23702,plain,
% 50.92/33.54 (node29(c_m, s7)),
% 50.92/33.54 inference(unit_resolution,[status(thm)],[13223, 1320, 23701])).
% 50.92/33.54 tff(23703,plain,
% 50.92/33.54 (((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | ((~node29(c_m, s7)) | m_memory_v_busy(c_m, s7))) <=> ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (~node29(c_m, s7)) | m_memory_v_busy(c_m, s7))),
% 50.92/33.54 inference(rewrite,[status(thm)],[])).
% 50.92/33.54 tff(23704,plain,
% 50.92/33.54 ((m_memory_v_busy(c_m, s7) | (~node29(c_m, s7))) <=> ((~node29(c_m, s7)) | m_memory_v_busy(c_m, s7))),
% 50.92/33.54 inference(rewrite,[status(thm)],[])).
% 50.92/33.54 tff(23705,plain,
% 50.92/33.54 (((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s7) | (~node29(c_m, s7)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | ((~node29(c_m, s7)) | m_memory_v_busy(c_m, s7)))),
% 50.92/33.54 inference(monotonicity,[status(thm)],[23704])).
% 50.92/33.54 tff(23706,plain,
% 50.92/33.54 (((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s7) | (~node29(c_m, s7)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (~node29(c_m, s7)) | m_memory_v_busy(c_m, s7))),
% 50.92/33.54 inference(transitivity,[status(thm)],[23705, 23703])).
% 50.92/33.54 tff(23707,plain,
% 50.92/33.54 ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (m_memory_v_busy(c_m, s7) | (~node29(c_m, s7)))),
% 50.92/33.54 inference(quant_inst,[status(thm)],[])).
% 50.92/33.54 tff(23708,plain,
% 50.92/33.54 ((~![I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~node29(I0, X)))) | (~node29(c_m, s7)) | m_memory_v_busy(c_m, s7)),
% 50.92/33.54 inference(modus_ponens,[status(thm)],[23707, 23706])).
% 50.92/33.54 tff(23709,plain,
% 50.92/33.54 (m_memory_v_busy(c_m, s7)),
% 50.92/33.54 inference(unit_resolution,[status(thm)],[23708, 2072, 23702])).
% 50.92/33.54 tff(23710,plain,
% 50.92/33.54 (m_memory_v_master(c_m, s7)),
% 50.92/33.54 inference(unit_resolution,[status(thm)],[13215, 1305, 23702])).
% 50.92/33.54 tff(23711,plain,
% 50.92/33.54 (((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s7, c_idle) | (~m_memory_v_master(c_m, s7)) | m_memory_v_cmd(c_m, s7, c_response) | (~m_memory_v_busy(c_m, s7)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | m_memory_v_cmd(c_m, s7, c_idle) | (~m_memory_v_master(c_m, s7)) | m_memory_v_cmd(c_m, s7, c_response) | (~m_memory_v_busy(c_m, s7)))),
% 50.92/33.54 inference(rewrite,[status(thm)],[])).
% 50.92/33.54 tff(23712,plain,
% 50.92/33.54 ((m_memory_v_cmd(c_m, s7, c_response) | m_memory_v_cmd(c_m, s7, c_idle) | (~m_memory_v_busy(c_m, s7)) | (~m_memory_v_master(c_m, s7))) <=> (m_memory_v_cmd(c_m, s7, c_idle) | (~m_memory_v_master(c_m, s7)) | m_memory_v_cmd(c_m, s7, c_response) | (~m_memory_v_busy(c_m, s7)))),
% 50.92/33.54 inference(rewrite,[status(thm)],[])).
% 50.92/33.54 tff(23713,plain,
% 50.92/33.54 (((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s7, c_response) | m_memory_v_cmd(c_m, s7, c_idle) | (~m_memory_v_busy(c_m, s7)) | (~m_memory_v_master(c_m, s7)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s7, c_idle) | (~m_memory_v_master(c_m, s7)) | m_memory_v_cmd(c_m, s7, c_response) | (~m_memory_v_busy(c_m, s7))))),
% 50.92/33.54 inference(monotonicity,[status(thm)],[23712])).
% 50.92/33.54 tff(23714,plain,
% 50.92/33.54 (((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s7, c_response) | m_memory_v_cmd(c_m, s7, c_idle) | (~m_memory_v_busy(c_m, s7)) | (~m_memory_v_master(c_m, s7)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | m_memory_v_cmd(c_m, s7, c_idle) | (~m_memory_v_master(c_m, s7)) | m_memory_v_cmd(c_m, s7, c_response) | (~m_memory_v_busy(c_m, s7)))),
% 50.92/33.54 inference(transitivity,[status(thm)],[23713, 23711])).
% 50.92/33.54 tff(23715,plain,
% 50.92/33.54 ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s7, c_response) | m_memory_v_cmd(c_m, s7, c_idle) | (~m_memory_v_busy(c_m, s7)) | (~m_memory_v_master(c_m, s7)))),
% 50.92/33.54 inference(quant_inst,[status(thm)],[])).
% 50.92/33.54 tff(23716,plain,
% 50.92/33.54 ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | m_memory_v_cmd(c_m, s7, c_idle) | (~m_memory_v_master(c_m, s7)) | m_memory_v_cmd(c_m, s7, c_response) | (~m_memory_v_busy(c_m, s7))),
% 50.92/33.54 inference(modus_ponens,[status(thm)],[23715, 23714])).
% 50.92/33.54 tff(23717,plain,
% 50.92/33.54 ((~m_memory_v_master(c_m, s7)) | m_memory_v_cmd(c_m, s7, c_response) | (~m_memory_v_busy(c_m, s7))),
% 50.92/33.54 inference(unit_resolution,[status(thm)],[23716, 2089, 23701])).
% 50.92/33.54 tff(23718,plain,
% 50.92/33.54 (m_memory_v_cmd(c_m, s7, c_response)),
% 50.92/33.54 inference(unit_resolution,[status(thm)],[23717, 23710, 23709])).
% 50.92/33.54 tff(23719,assumption,(~m_main_v_CMD(s7, c_response)), introduced(assumption)).
% 50.92/33.54 tff(23720,assumption,(~node13(s7)), introduced(assumption)).
% 50.92/33.54 tff(23721,plain,
% 50.92/33.54 (((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | ((~m_processor_v_cmd(c_p0, s7, c_idle)) | node9(s7) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | node11(s7) | node13(s7) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | node14(s7))) <=> ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | node9(s7) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | node11(s7) | node13(s7) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | node14(s7))),
% 50.92/33.54 inference(rewrite,[status(thm)],[])).
% 50.92/33.54 tff(23722,plain,
% 50.92/33.54 ((node9(s7) | node11(s7) | node13(s7) | node14(s7) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_idle))) <=> ((~m_processor_v_cmd(c_p0, s7, c_idle)) | node9(s7) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | node11(s7) | node13(s7) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | node14(s7))),
% 50.92/33.54 inference(rewrite,[status(thm)],[])).
% 50.92/33.54 tff(23723,plain,
% 50.92/33.54 (((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s7) | node11(s7) | node13(s7) | node14(s7) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | ((~m_processor_v_cmd(c_p0, s7, c_idle)) | node9(s7) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | node11(s7) | node13(s7) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | node14(s7)))),
% 50.92/33.54 inference(monotonicity,[status(thm)],[23722])).
% 50.92/33.54 tff(23724,plain,
% 50.92/33.54 (((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s7) | node11(s7) | node13(s7) | node14(s7) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | node9(s7) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | node11(s7) | node13(s7) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | node14(s7))),
% 50.92/33.54 inference(transitivity,[status(thm)],[23723, 23721])).
% 50.92/33.54 tff(23725,plain,
% 50.92/33.54 ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s7) | node11(s7) | node13(s7) | node14(s7) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_idle)))),
% 50.92/33.54 inference(quant_inst,[status(thm)],[])).
% 50.92/33.54 tff(23726,plain,
% 50.92/33.54 ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | node9(s7) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | node11(s7) | node13(s7) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | node14(s7)),
% 50.92/33.54 inference(modus_ponens,[status(thm)],[23725, 23724])).
% 50.92/33.54 tff(23727,plain,
% 50.92/33.54 (node9(s7) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | node11(s7) | node13(s7) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | node14(s7)),
% 50.92/33.54 inference(unit_resolution,[status(thm)],[23726, 2014, 13266])).
% 50.92/33.54 tff(23728,plain,
% 50.92/33.54 (node14(s7)),
% 50.92/33.54 inference(unit_resolution,[status(thm)],[23727, 14636, 13195, 23699, 23698, 23720])).
% 50.92/33.54 tff(23729,plain,
% 50.92/33.54 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s7, c_response) | (~m_memory_v_cmd(c_m, s7, c_response)) | (~node14(s7)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | m_main_v_CMD(s7, c_response) | (~m_memory_v_cmd(c_m, s7, c_response)) | (~node14(s7)))),
% 50.92/33.54 inference(rewrite,[status(thm)],[])).
% 50.92/33.54 tff(23730,plain,
% 50.92/33.54 ((m_main_v_CMD(s7, c_response) | (~node14(s7)) | (~m_memory_v_cmd(c_m, s7, c_response))) <=> (m_main_v_CMD(s7, c_response) | (~m_memory_v_cmd(c_m, s7, c_response)) | (~node14(s7)))),
% 50.92/33.54 inference(rewrite,[status(thm)],[])).
% 50.92/33.54 tff(23731,plain,
% 50.92/33.54 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s7, c_response) | (~node14(s7)) | (~m_memory_v_cmd(c_m, s7, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s7, c_response) | (~m_memory_v_cmd(c_m, s7, c_response)) | (~node14(s7))))),
% 50.92/33.54 inference(monotonicity,[status(thm)],[23730])).
% 50.92/33.54 tff(23732,plain,
% 50.92/33.54 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s7, c_response) | (~node14(s7)) | (~m_memory_v_cmd(c_m, s7, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | m_main_v_CMD(s7, c_response) | (~m_memory_v_cmd(c_m, s7, c_response)) | (~node14(s7)))),
% 50.92/33.54 inference(transitivity,[status(thm)],[23731, 23729])).
% 50.92/33.54 tff(23733,plain,
% 50.92/33.54 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s7, c_response) | (~node14(s7)) | (~m_memory_v_cmd(c_m, s7, c_response)))),
% 50.92/33.54 inference(quant_inst,[status(thm)],[])).
% 50.92/33.54 tff(23734,plain,
% 50.92/33.54 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | m_main_v_CMD(s7, c_response) | (~m_memory_v_cmd(c_m, s7, c_response)) | (~node14(s7))),
% 50.92/33.54 inference(modus_ponens,[status(thm)],[23733, 23732])).
% 50.92/33.54 tff(23735,plain,
% 50.92/33.54 ($false),
% 50.92/33.54 inference(unit_resolution,[status(thm)],[23734, 8342, 23728, 23719, 23718])).
% 50.92/33.54 tff(23736,plain,((~m_processor_v_cmd(c_p1, s7, c_idle)) | m_main_v_CMD(s7, c_response) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | node9(s7) | node11(s7) | node13(s7) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | node12(s7)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.54 tff(23737,plain,
% 50.92/33.54 (m_main_v_CMD(s7, c_response)),
% 50.92/33.54 inference(unit_resolution,[status(thm)],[23736, 23697, 13266, 14636, 23693, 23671, 23663, 23651])).
% 50.92/33.54 tff(23738,plain,
% 50.92/33.54 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s7, c_response)) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s7, c_response)) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)))),
% 50.92/33.54 inference(rewrite,[status(thm)],[])).
% 50.92/33.54 tff(23739,plain,
% 50.92/33.54 (((~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(s7, c_response))) <=> ((~m_main_v_CMD(s7, c_response)) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)))),
% 50.92/33.54 inference(rewrite,[status(thm)],[])).
% 50.92/33.54 tff(23740,plain,
% 50.92/33.54 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(s7, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s7, c_response)) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid))))),
% 50.92/33.54 inference(monotonicity,[status(thm)],[23739])).
% 50.92/33.54 tff(23741,plain,
% 50.92/33.54 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(s7, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s7, c_response)) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)))),
% 50.92/33.54 inference(transitivity,[status(thm)],[23740, 23738])).
% 50.92/33.54 tff(23742,plain,
% 50.92/33.54 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(s7, c_response)))),
% 50.92/33.54 inference(quant_inst,[status(thm)],[])).
% 50.92/33.54 tff(23743,plain,
% 50.92/33.54 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_resp_h_invalid)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s7, c_response)) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid))),
% 50.92/33.54 inference(modus_ponens,[status(thm)],[23742, 23741])).
% 50.92/33.54 tff(23744,plain,
% 50.92/33.54 ($false),
% 50.92/33.54 inference(unit_resolution,[status(thm)],[23743, 17129, 23625, 23737])).
% 50.92/33.54 tff(23745,plain,((~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.54 tff(23746,plain,
% 50.92/33.54 (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)),
% 50.92/33.54 inference(unit_resolution,[status(thm)],[23745, 14636, 13266])).
% 50.92/33.54 tff(23747,assumption,(~m_main_v_CMD(s7, c_write_h_resp_h_invalid)), introduced(assumption)).
% 50.92/33.54 tff(23748,assumption,(m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid)), introduced(assumption)).
% 50.92/33.54 tff(23749,plain,
% 50.92/33.54 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s7, c_write_h_resp_h_invalid) | (~node2(s7)) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s7, c_write_h_resp_h_invalid) | (~node2(s7)) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid)))),
% 50.92/33.54 inference(rewrite,[status(thm)],[])).
% 50.92/33.54 tff(23750,plain,
% 50.92/33.54 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s7, c_write_h_resp_h_invalid) | (~node2(s7)) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid)))),
% 50.92/33.54 inference(quant_inst,[status(thm)],[])).
% 50.92/33.54 tff(23751,plain,
% 50.92/33.54 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s7, c_write_h_resp_h_invalid) | (~node2(s7)) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid))),
% 50.92/33.54 inference(modus_ponens,[status(thm)],[23750, 23749])).
% 50.92/33.54 tff(23752,plain,
% 50.92/33.54 ($false),
% 50.92/33.54 inference(unit_resolution,[status(thm)],[23751, 1612, 14572, 23748, 23747])).
% 50.92/33.54 tff(23753,plain,((~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid)) | m_main_v_CMD(s7, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.54 tff(23754,plain,
% 50.92/33.54 (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid)),
% 50.92/33.54 inference(unit_resolution,[status(thm)],[23753, 23746])).
% 50.92/33.54 tff(23755,plain,
% 50.92/33.54 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | (~node50(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | (~node50(c_p0, s7)))),
% 50.92/33.54 inference(rewrite,[status(thm)],[])).
% 50.92/33.54 tff(23756,plain,
% 50.92/33.54 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | (~node50(c_p0, s7)))),
% 50.92/33.54 inference(quant_inst,[status(thm)],[])).
% 50.92/33.54 tff(23757,plain,
% 50.92/33.54 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | (~node50(c_p0, s7))),
% 50.92/33.54 inference(modus_ponens,[status(thm)],[23756, 23755])).
% 50.92/33.54 tff(23758,plain,
% 50.92/33.54 (~node50(c_p0, s7)),
% 50.92/33.54 inference(unit_resolution,[status(thm)],[23757, 11598, 23754])).
% 50.92/33.54 tff(23759,assumption,(~node48(c_p0, s7)), introduced(assumption)).
% 50.92/33.54 tff(23760,assumption,(~node52(c_p0, s7, s8)), introduced(assumption)).
% 50.92/33.54 tff(23761,assumption,(~node50(c_p0, s7)), introduced(assumption)).
% 50.92/33.54 tff(23762,assumption,(m_processor_v_CMD(c_p0, s7, c_response)), introduced(assumption)).
% 50.92/33.54 tff(23763,plain,
% 50.92/33.54 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s7, c_response) | (~node2(s7)) | (~m_processor_v_CMD(c_p0, s7, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s7, c_response) | (~node2(s7)) | (~m_processor_v_CMD(c_p0, s7, c_response)))),
% 50.92/33.54 inference(rewrite,[status(thm)],[])).
% 50.92/33.54 tff(23764,plain,
% 50.92/33.54 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s7, c_response) | (~node2(s7)) | (~m_processor_v_CMD(c_p0, s7, c_response)))),
% 50.92/33.54 inference(quant_inst,[status(thm)],[])).
% 50.92/33.54 tff(23765,plain,
% 50.92/33.54 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s7, c_response) | (~node2(s7)) | (~m_processor_v_CMD(c_p0, s7, c_response))),
% 50.92/33.54 inference(modus_ponens,[status(thm)],[23764, 23763])).
% 50.92/33.54 tff(23766,plain,
% 50.92/33.54 ($false),
% 50.92/33.54 inference(unit_resolution,[status(thm)],[23765, 1612, 14572, 23719, 23762])).
% 50.92/33.54 tff(23767,plain,((~m_processor_v_CMD(c_p0, s7, c_response)) | m_main_v_CMD(s7, c_response)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.54 tff(23768,plain,
% 50.92/33.54 (~m_processor_v_CMD(c_p0, s7, c_response)),
% 50.92/33.54 inference(unit_resolution,[status(thm)],[23767, 23719])).
% 50.92/33.54 tff(23769,assumption,(~m_processor_v_CMD(c_p0, s7, c_response)), introduced(assumption)).
% 50.92/33.54 tff(23770,assumption,(node49(c_p0, s7)), introduced(assumption)).
% 50.92/33.54 tff(23771,plain,
% 50.92/33.54 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p0, s7, c_response) | (~node49(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | m_processor_v_CMD(c_p0, s7, c_response) | (~node49(c_p0, s7)))),
% 50.92/33.55 inference(rewrite,[status(thm)],[])).
% 50.92/33.55 tff(23772,plain,
% 50.92/33.55 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p0, s7, c_response) | (~node49(c_p0, s7)))),
% 50.92/33.55 inference(quant_inst,[status(thm)],[])).
% 50.92/33.55 tff(23773,plain,
% 50.92/33.55 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | m_processor_v_CMD(c_p0, s7, c_response) | (~node49(c_p0, s7))),
% 50.92/33.55 inference(modus_ponens,[status(thm)],[23772, 23771])).
% 50.92/33.55 tff(23774,plain,
% 50.92/33.55 ($false),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23773, 11579, 23770, 23769])).
% 50.92/33.55 tff(23775,plain,((~node49(c_p0, s7)) | m_processor_v_CMD(c_p0, s7, c_response)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.55 tff(23776,plain,
% 50.92/33.55 (~node49(c_p0, s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23775, 23768])).
% 50.92/33.55 tff(23777,plain,
% 50.92/33.55 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s7) | node48(c_p0, s7) | node47(c_p0, s7) | node51(c_p0, s7) | node49(c_p0, s7) | node50(c_p0, s7) | (~node53(c_p0, s7, s8)) | node52(c_p0, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p0, s7) | node48(c_p0, s7) | node47(c_p0, s7) | node51(c_p0, s7) | node49(c_p0, s7) | node50(c_p0, s7) | (~node53(c_p0, s7, s8)) | node52(c_p0, s7, s8))),
% 50.92/33.55 inference(rewrite,[status(thm)],[])).
% 50.92/33.55 tff(23778,plain,
% 50.92/33.55 ((m_processor_v_abort(c_p0, s7) | node47(c_p0, s7) | node48(c_p0, s7) | node49(c_p0, s7) | node50(c_p0, s7) | node51(c_p0, s7) | node52(c_p0, s7, s8) | (~node53(c_p0, s7, s8))) <=> (m_processor_v_abort(c_p0, s7) | node48(c_p0, s7) | node47(c_p0, s7) | node51(c_p0, s7) | node49(c_p0, s7) | node50(c_p0, s7) | (~node53(c_p0, s7, s8)) | node52(c_p0, s7, s8))),
% 50.92/33.55 inference(rewrite,[status(thm)],[])).
% 50.92/33.55 tff(23779,plain,
% 50.92/33.55 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s7) | node47(c_p0, s7) | node48(c_p0, s7) | node49(c_p0, s7) | node50(c_p0, s7) | node51(c_p0, s7) | node52(c_p0, s7, s8) | (~node53(c_p0, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s7) | node48(c_p0, s7) | node47(c_p0, s7) | node51(c_p0, s7) | node49(c_p0, s7) | node50(c_p0, s7) | (~node53(c_p0, s7, s8)) | node52(c_p0, s7, s8)))),
% 50.92/33.55 inference(monotonicity,[status(thm)],[23778])).
% 50.92/33.55 tff(23780,plain,
% 50.92/33.55 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s7) | node47(c_p0, s7) | node48(c_p0, s7) | node49(c_p0, s7) | node50(c_p0, s7) | node51(c_p0, s7) | node52(c_p0, s7, s8) | (~node53(c_p0, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p0, s7) | node48(c_p0, s7) | node47(c_p0, s7) | node51(c_p0, s7) | node49(c_p0, s7) | node50(c_p0, s7) | (~node53(c_p0, s7, s8)) | node52(c_p0, s7, s8))),
% 50.92/33.55 inference(transitivity,[status(thm)],[23779, 23777])).
% 50.92/33.55 tff(23781,plain,
% 50.92/33.55 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s7) | node47(c_p0, s7) | node48(c_p0, s7) | node49(c_p0, s7) | node50(c_p0, s7) | node51(c_p0, s7) | node52(c_p0, s7, s8) | (~node53(c_p0, s7, s8)))),
% 50.92/33.55 inference(quant_inst,[status(thm)],[])).
% 50.92/33.55 tff(23782,plain,
% 50.92/33.55 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p0, s7) | node48(c_p0, s7) | node47(c_p0, s7) | node51(c_p0, s7) | node49(c_p0, s7) | node50(c_p0, s7) | (~node53(c_p0, s7, s8)) | node52(c_p0, s7, s8)),
% 50.92/33.55 inference(modus_ponens,[status(thm)],[23781, 23780])).
% 50.92/33.55 tff(23783,plain,
% 50.92/33.55 (m_processor_v_abort(c_p0, s7) | node48(c_p0, s7) | node47(c_p0, s7) | node51(c_p0, s7) | node49(c_p0, s7) | node50(c_p0, s7) | node52(c_p0, s7, s8)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23782, 11612, 14559])).
% 50.92/33.55 tff(23784,plain,
% 50.92/33.55 (node51(c_p0, s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23783, 23776, 23761, 23759, 14439, 23760, 23624])).
% 50.92/33.55 tff(23785,assumption,(~node51(c_p0, s7)), introduced(assumption)).
% 50.92/33.55 tff(23786,plain,
% 50.92/33.55 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | ((~m_processor_v_master(c_p0, s7)) | (~node50(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | (~m_processor_v_master(c_p0, s7)) | (~node50(c_p0, s7)))),
% 50.92/33.55 inference(rewrite,[status(thm)],[])).
% 50.92/33.55 tff(23787,plain,
% 50.92/33.55 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | ((~m_processor_v_master(c_p0, s7)) | (~node50(c_p0, s7)))),
% 50.92/33.55 inference(quant_inst,[status(thm)],[])).
% 50.92/33.55 tff(23788,plain,
% 50.92/33.55 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | (~m_processor_v_master(c_p0, s7)) | (~node50(c_p0, s7))),
% 50.92/33.55 inference(modus_ponens,[status(thm)],[23787, 23786])).
% 50.92/33.55 tff(23789,plain,
% 50.92/33.55 (~node50(c_p0, s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23788, 16866, 14621])).
% 50.92/33.55 tff(23790,plain,
% 50.92/33.55 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | ((~m_processor_v_master(c_p0, s7)) | (~node49(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | (~m_processor_v_master(c_p0, s7)) | (~node49(c_p0, s7)))),
% 50.92/33.55 inference(rewrite,[status(thm)],[])).
% 50.92/33.55 tff(23791,plain,
% 50.92/33.55 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | ((~m_processor_v_master(c_p0, s7)) | (~node49(c_p0, s7)))),
% 50.92/33.55 inference(quant_inst,[status(thm)],[])).
% 50.92/33.55 tff(23792,plain,
% 50.92/33.55 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | (~m_processor_v_master(c_p0, s7)) | (~node49(c_p0, s7))),
% 50.92/33.55 inference(modus_ponens,[status(thm)],[23791, 23790])).
% 50.92/33.55 tff(23793,plain,
% 50.92/33.55 (~node49(c_p0, s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23792, 16755, 14621])).
% 50.92/33.55 tff(23794,plain,
% 50.92/33.55 ($false),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23783, 23793, 23789, 23785, 23759, 14439, 23760, 23624])).
% 50.92/33.55 tff(23795,plain,((~m_processor_v_master(c_p0, s7)) | node51(c_p0, s7) | node48(c_p0, s7) | m_processor_v_abort(c_p0, s7) | node52(c_p0, s7, s8) | node47(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.55 tff(23796,plain,
% 50.92/33.55 (node51(c_p0, s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23795, 14621, 23624, 14439, 23760, 23759])).
% 50.92/33.55 tff(23797,plain,
% 50.92/33.55 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | ((~m_processor_v_master(c_p0, s7)) | (~node51(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | (~m_processor_v_master(c_p0, s7)) | (~node51(c_p0, s7)))),
% 50.92/33.55 inference(rewrite,[status(thm)],[])).
% 50.92/33.55 tff(23798,plain,
% 50.92/33.55 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | ((~m_processor_v_master(c_p0, s7)) | (~node51(c_p0, s7)))),
% 50.92/33.55 inference(quant_inst,[status(thm)],[])).
% 50.92/33.55 tff(23799,plain,
% 50.92/33.55 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | (~m_processor_v_master(c_p0, s7)) | (~node51(c_p0, s7))),
% 50.92/33.55 inference(modus_ponens,[status(thm)],[23798, 23797])).
% 50.92/33.55 tff(23800,plain,
% 50.92/33.55 ($false),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23799, 16894, 14621, 23796])).
% 50.92/33.55 tff(23801,plain,((~m_processor_v_master(c_p0, s7)) | node47(c_p0, s7) | m_processor_v_abort(c_p0, s7) | node52(c_p0, s7, s8) | node48(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.55 tff(23802,plain,
% 50.92/33.55 (~m_processor_v_master(c_p0, s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23801, 23759, 14439, 23760, 23624])).
% 50.92/33.55 tff(23803,plain,
% 50.92/33.55 (m_processor_v_cmd(c_p0, s7, c_idle)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23597, 23802])).
% 50.92/33.55 tff(23804,plain,
% 50.92/33.55 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_response)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_response)))),
% 50.92/33.55 inference(rewrite,[status(thm)],[])).
% 50.92/33.55 tff(23805,plain,
% 50.92/33.55 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_response)))),
% 50.92/33.55 inference(quant_inst,[status(thm)],[])).
% 50.92/33.55 tff(23806,plain,
% 50.92/33.55 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_response))),
% 50.92/33.55 inference(modus_ponens,[status(thm)],[23805, 23804])).
% 50.92/33.55 tff(23807,plain,
% 50.92/33.55 (~m_processor_v_cmd(c_p0, s7, c_response)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23806, 19905, 23803])).
% 50.92/33.55 tff(23808,plain,
% 50.92/33.55 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)))),
% 50.92/33.55 inference(rewrite,[status(thm)],[])).
% 50.92/33.55 tff(23809,plain,
% 50.92/33.55 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)))),
% 50.92/33.55 inference(quant_inst,[status(thm)],[])).
% 50.92/33.55 tff(23810,plain,
% 50.92/33.55 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared))),
% 50.92/33.55 inference(modus_ponens,[status(thm)],[23809, 23808])).
% 50.92/33.55 tff(23811,plain,
% 50.92/33.55 (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23810, 4285, 23803])).
% 50.92/33.55 tff(23812,assumption,(~m_processor_v_cmd(c_p0, s7, c_response)), introduced(assumption)).
% 50.92/33.55 tff(23813,plain,
% 50.92/33.55 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_response) | (~m_main_v_CMD(s7, c_response)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_response) | (~m_main_v_CMD(s7, c_response)))),
% 50.92/33.55 inference(rewrite,[status(thm)],[])).
% 50.92/33.55 tff(23814,plain,
% 50.92/33.55 (((~m_main_v_CMD(s7, c_response)) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_response)) <=> ((~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_response) | (~m_main_v_CMD(s7, c_response)))),
% 50.92/33.55 inference(rewrite,[status(thm)],[])).
% 50.92/33.55 tff(23815,plain,
% 50.92/33.55 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_response)) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_response))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_response) | (~m_main_v_CMD(s7, c_response))))),
% 50.92/33.55 inference(monotonicity,[status(thm)],[23814])).
% 50.92/33.55 tff(23816,plain,
% 50.92/33.55 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_response)) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_response))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_response) | (~m_main_v_CMD(s7, c_response)))),
% 50.92/33.55 inference(transitivity,[status(thm)],[23815, 23813])).
% 50.92/33.55 tff(23817,plain,
% 50.92/33.55 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_response)) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_response))),
% 50.92/33.55 inference(quant_inst,[status(thm)],[])).
% 50.92/33.55 tff(23818,plain,
% 50.92/33.55 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_response) | (~m_main_v_CMD(s7, c_response))),
% 50.92/33.55 inference(modus_ponens,[status(thm)],[23817, 23816])).
% 50.92/33.55 tff(23819,plain,
% 50.92/33.55 ((~node8(s7)) | (~m_main_v_CMD(s7, c_response))),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23818, 2191, 23812])).
% 50.92/33.55 tff(23820,plain,
% 50.92/33.55 (~m_main_v_CMD(s7, c_response)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23819, 14649])).
% 50.92/33.55 tff(23821,plain,
% 50.92/33.55 (~m_processor_v_CMD(c_p0, s7, c_response)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23767, 23820])).
% 50.92/33.55 tff(23822,plain,
% 50.92/33.55 (~node49(c_p0, s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23775, 23821])).
% 50.92/33.55 tff(23823,assumption,(~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.92/33.55 tff(23824,plain,
% 50.92/33.55 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | (~node8(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | (~node8(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared)))),
% 50.92/33.55 inference(rewrite,[status(thm)],[])).
% 50.92/33.55 tff(23825,plain,
% 50.92/33.55 (((~m_main_v_CMD(s7, c_write_h_resp_h_shared)) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)) <=> (m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | (~node8(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared)))),
% 50.92/33.55 inference(rewrite,[status(thm)],[])).
% 50.92/33.55 tff(23826,plain,
% 50.92/33.55 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_write_h_resp_h_shared)) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | (~node8(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared))))),
% 50.92/33.55 inference(monotonicity,[status(thm)],[23825])).
% 50.92/33.55 tff(23827,plain,
% 50.92/33.55 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_write_h_resp_h_shared)) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | (~node8(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared)))),
% 50.92/33.55 inference(transitivity,[status(thm)],[23826, 23824])).
% 50.92/33.55 tff(23828,plain,
% 50.92/33.55 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_write_h_resp_h_shared)) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared))),
% 50.92/33.55 inference(quant_inst,[status(thm)],[])).
% 50.92/33.55 tff(23829,plain,
% 50.92/33.55 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | (~node8(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared))),
% 50.92/33.55 inference(modus_ponens,[status(thm)],[23828, 23827])).
% 50.92/33.55 tff(23830,plain,
% 50.92/33.55 ((~node8(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared))),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23829, 2191, 23823])).
% 50.92/33.55 tff(23831,plain,
% 50.92/33.55 (~m_main_v_CMD(s7, c_write_h_resp_h_shared)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23830, 14649])).
% 50.92/33.55 tff(23832,assumption,(m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.92/33.55 tff(23833,assumption,(~m_main_v_CMD(s7, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.92/33.55 tff(23834,plain,
% 50.92/33.55 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s7, c_write_h_resp_h_shared) | (~node2(s7)) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s7, c_write_h_resp_h_shared) | (~node2(s7)) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared)))),
% 50.92/33.55 inference(rewrite,[status(thm)],[])).
% 50.92/33.55 tff(23835,plain,
% 50.92/33.55 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s7, c_write_h_resp_h_shared) | (~node2(s7)) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared)))),
% 50.92/33.55 inference(quant_inst,[status(thm)],[])).
% 50.92/33.55 tff(23836,plain,
% 50.92/33.55 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s7, c_write_h_resp_h_shared) | (~node2(s7)) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared))),
% 50.92/33.55 inference(modus_ponens,[status(thm)],[23835, 23834])).
% 50.92/33.55 tff(23837,plain,
% 50.92/33.55 ($false),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23836, 1612, 14572, 23833, 23832])).
% 50.92/33.55 tff(23838,plain,((~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared)) | m_main_v_CMD(s7, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.55 tff(23839,plain,
% 50.92/33.55 (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23838, 23831])).
% 50.92/33.55 tff(23840,assumption,(node51(c_p0, s7)), introduced(assumption)).
% 50.92/33.55 tff(23841,plain,
% 50.92/33.55 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared) | (~node51(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared) | (~node51(c_p0, s7)))),
% 50.92/33.55 inference(rewrite,[status(thm)],[])).
% 50.92/33.55 tff(23842,plain,
% 50.92/33.55 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared) | (~node51(c_p0, s7)))),
% 50.92/33.55 inference(quant_inst,[status(thm)],[])).
% 50.92/33.55 tff(23843,plain,
% 50.92/33.55 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared) | (~node51(c_p0, s7))),
% 50.92/33.55 inference(modus_ponens,[status(thm)],[23842, 23841])).
% 50.92/33.55 tff(23844,plain,
% 50.92/33.55 ($false),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23843, 11549, 15248, 23840])).
% 50.92/33.55 tff(23845,plain,((~node51(c_p0, s7)) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.55 tff(23846,plain,
% 50.92/33.55 (~node51(c_p0, s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23845, 23839])).
% 50.92/33.55 tff(23847,plain,
% 50.92/33.55 ($false),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23783, 23846, 23822, 23760, 23759, 23761, 23624, 14439])).
% 50.92/33.55 tff(23848,plain,((~node8(s7)) | node52(c_p0, s7, s8) | node48(c_p0, s7) | node50(c_p0, s7) | node47(c_p0, s7) | m_processor_v_abort(c_p0, s7) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | m_processor_v_cmd(c_p0, s7, c_response)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.55 tff(23849,plain,
% 50.92/33.55 (~node8(s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23848, 23761, 23760, 14439, 23759, 23624, 23811, 23807])).
% 50.92/33.55 tff(23850,plain,
% 50.92/33.55 (~node9(s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23650, 14626])).
% 50.92/33.55 tff(23851,plain,
% 50.92/33.55 (~node11(s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23662, 14636, 14626])).
% 50.92/33.55 tff(23852,plain,
% 50.92/33.55 (~m_memory_v_cmd(c_m, s7, c_idle)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23648, 13195, 14636])).
% 50.92/33.55 tff(23853,plain,
% 50.92/33.55 (~node13(s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23696, 1986, 23852])).
% 50.92/33.55 tff(23854,plain,
% 50.92/33.55 (node29(c_m, s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[13225, 13220])).
% 50.92/33.55 tff(23855,plain,
% 50.92/33.55 (m_memory_v_master(c_m, s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[13217, 23854])).
% 50.92/33.55 tff(23856,assumption,(~node14(s7)), introduced(assumption)).
% 50.92/33.55 tff(23857,plain,
% 50.92/33.55 (node17(s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[13209, 23855])).
% 50.92/33.55 tff(23858,plain,
% 50.92/33.55 (~m_processor_v_master(c_p0, s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[14631, 23857])).
% 50.92/33.55 tff(23859,plain,
% 50.92/33.55 (~node63(c_p0, s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[13233, 1469, 23858])).
% 50.92/33.55 tff(23860,plain,
% 50.92/33.55 (~node62(c_p0, s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[13237, 1493, 23858])).
% 50.92/33.55 tff(23861,plain,
% 50.92/33.55 (~node64(c_p0, s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[13241, 1482, 23858])).
% 50.92/33.55 tff(23862,plain,
% 50.92/33.55 (~node66(c_p0, s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[13245, 1446, 23858])).
% 50.92/33.55 tff(23863,plain,
% 50.92/33.55 (~node65(c_p0, s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[13249, 1457, 23858])).
% 50.92/33.55 tff(23864,plain,
% 50.92/33.55 (~m_processor_v_master(c_p2, s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23691, 23857])).
% 50.92/33.55 tff(23865,plain,
% 50.92/33.55 (m_processor_v_cmd(c_p2, s7, c_idle)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[13368, 23864])).
% 50.92/33.55 tff(23866,plain,
% 50.92/33.55 (~node13(s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23696, 1986, 13220])).
% 50.92/33.55 tff(23867,plain,
% 50.92/33.55 (~node9(s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23645, 2000, 13220])).
% 50.92/33.55 tff(23868,plain,
% 50.92/33.55 (~node11(s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23655, 2031, 13220])).
% 50.92/33.55 tff(23869,plain,
% 50.92/33.55 ((~m_processor_v_cmd(c_p0, s7, c_idle)) | node9(s7) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | node11(s7) | node13(s7) | node14(s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23726, 2014, 14636])).
% 50.92/33.55 tff(23870,plain,
% 50.92/33.55 ($false),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23869, 23868, 23867, 13266, 13195, 23866, 23856])).
% 50.92/33.55 tff(23871,plain,(m_memory_v_cmd(c_m, s7, c_idle) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | node14(s7) | (~m_processor_v_cmd(c_p1, s7, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.55 tff(23872,plain,
% 50.92/33.55 (~m_processor_v_cmd(c_p0, s7, c_idle)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23871, 23865, 14636, 23856, 13220])).
% 50.92/33.55 tff(23873,plain,
% 50.92/33.55 (node62(c_p0, s7) | node64(c_p0, s7) | node63(c_p0, s7) | node65(c_p0, s7) | node66(c_p0, s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[13256, 1508, 23872])).
% 50.92/33.55 tff(23874,plain,
% 50.92/33.55 ($false),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23873, 23863, 23862, 23861, 23860, 23859])).
% 50.92/33.55 tff(23875,plain,(m_memory_v_cmd(c_m, s7, c_idle) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | node14(s7)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.55 tff(23876,plain,
% 50.92/33.55 (~m_processor_v_cmd(c_p1, s7, c_idle)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23875, 13220, 23856])).
% 50.92/33.55 tff(23877,plain,
% 50.92/33.55 (m_processor_v_master(c_p1, s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[14619, 23876])).
% 50.92/33.55 tff(23878,plain,
% 50.92/33.55 (~node17(s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[13201, 23877])).
% 50.92/33.55 tff(23879,plain,
% 50.92/33.55 ($false),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[13209, 23878, 23855])).
% 50.92/33.55 tff(23880,plain,(m_memory_v_cmd(c_m, s7, c_idle) | node14(s7)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.55 tff(23881,plain,
% 50.92/33.55 (node14(s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23880, 23852])).
% 50.92/33.55 tff(23882,plain,
% 50.92/33.55 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V))) | (m_memory_v_cmd(c_m, s7, c_idle) | (~node14(s7)) | (~m_main_v_CMD(s7, c_idle)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V))) | m_memory_v_cmd(c_m, s7, c_idle) | (~node14(s7)) | (~m_main_v_CMD(s7, c_idle)))),
% 50.92/33.55 inference(rewrite,[status(thm)],[])).
% 50.92/33.55 tff(23883,plain,
% 50.92/33.55 (((~m_main_v_CMD(s7, c_idle)) | (~node14(s7)) | m_memory_v_cmd(c_m, s7, c_idle)) <=> (m_memory_v_cmd(c_m, s7, c_idle) | (~node14(s7)) | (~m_main_v_CMD(s7, c_idle)))),
% 50.92/33.55 inference(rewrite,[status(thm)],[])).
% 50.92/33.55 tff(23884,plain,
% 50.92/33.55 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V))) | ((~m_main_v_CMD(s7, c_idle)) | (~node14(s7)) | m_memory_v_cmd(c_m, s7, c_idle))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V))) | (m_memory_v_cmd(c_m, s7, c_idle) | (~node14(s7)) | (~m_main_v_CMD(s7, c_idle))))),
% 50.92/33.55 inference(monotonicity,[status(thm)],[23883])).
% 50.92/33.55 tff(23885,plain,
% 50.92/33.55 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V))) | ((~m_main_v_CMD(s7, c_idle)) | (~node14(s7)) | m_memory_v_cmd(c_m, s7, c_idle))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V))) | m_memory_v_cmd(c_m, s7, c_idle) | (~node14(s7)) | (~m_main_v_CMD(s7, c_idle)))),
% 50.92/33.55 inference(transitivity,[status(thm)],[23884, 23882])).
% 50.92/33.55 tff(23886,plain,
% 50.92/33.55 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V))) | ((~m_main_v_CMD(s7, c_idle)) | (~node14(s7)) | m_memory_v_cmd(c_m, s7, c_idle))),
% 50.92/33.55 inference(quant_inst,[status(thm)],[])).
% 50.92/33.55 tff(23887,plain,
% 50.92/33.55 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node14(X)) | m_memory_v_cmd(c_m, X, V))) | m_memory_v_cmd(c_m, s7, c_idle) | (~node14(s7)) | (~m_main_v_CMD(s7, c_idle))),
% 50.92/33.55 inference(modus_ponens,[status(thm)],[23886, 23885])).
% 50.92/33.55 tff(23888,plain,
% 50.92/33.55 (~m_main_v_CMD(s7, c_idle)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23887, 2047, 23852, 23881])).
% 50.92/33.55 tff(23889,plain,
% 50.92/33.55 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | ((~m_processor_v_cmd(c_p0, s7, c_idle)) | m_main_v_CMD(s7, c_idle) | (~node12(s7)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | m_main_v_CMD(s7, c_idle) | (~node12(s7)))),
% 50.92/33.55 inference(rewrite,[status(thm)],[])).
% 50.92/33.55 tff(23890,plain,
% 50.92/33.55 ((m_main_v_CMD(s7, c_idle) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~node12(s7))) <=> ((~m_processor_v_cmd(c_p0, s7, c_idle)) | m_main_v_CMD(s7, c_idle) | (~node12(s7)))),
% 50.92/33.55 inference(rewrite,[status(thm)],[])).
% 50.92/33.55 tff(23891,plain,
% 50.92/33.55 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s7, c_idle) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~node12(s7)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | ((~m_processor_v_cmd(c_p0, s7, c_idle)) | m_main_v_CMD(s7, c_idle) | (~node12(s7))))),
% 50.92/33.55 inference(monotonicity,[status(thm)],[23890])).
% 50.92/33.55 tff(23892,plain,
% 50.92/33.55 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s7, c_idle) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~node12(s7)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | m_main_v_CMD(s7, c_idle) | (~node12(s7)))),
% 50.92/33.55 inference(transitivity,[status(thm)],[23891, 23889])).
% 50.92/33.55 tff(23893,plain,
% 50.92/33.55 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (m_main_v_CMD(s7, c_idle) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~node12(s7)))),
% 50.92/33.55 inference(quant_inst,[status(thm)],[])).
% 50.92/33.55 tff(23894,plain,
% 50.92/33.55 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~m_processor_v_cmd(c_p0, X, V)) | (~node12(X)))) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | m_main_v_CMD(s7, c_idle) | (~node12(s7))),
% 50.92/33.55 inference(modus_ponens,[status(thm)],[23893, 23892])).
% 50.92/33.55 tff(23895,plain,
% 50.92/33.55 (m_main_v_CMD(s7, c_idle) | (~node12(s7))),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23894, 2128, 13266])).
% 50.92/33.55 tff(23896,plain,
% 50.92/33.55 (~node12(s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23895, 23888])).
% 50.92/33.55 tff(23897,plain,
% 50.92/33.55 ($false),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23736, 23896, 23853, 14636, 23851, 13266, 23719, 13195, 23850])).
% 50.92/33.55 tff(23898,plain,((~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | m_main_v_CMD(s7, c_response) | node8(s7)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.55 tff(23899,plain,
% 50.92/33.55 (~m_processor_v_cmd(c_p2, s7, c_idle)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[23898, 14636, 23719, 14626, 13266])).
% 50.92/33.55 tff(23900,plain,
% 50.92/33.55 (m_processor_v_master(c_p2, s7)),
% 50.92/33.55 inference(unit_resolution,[status(thm)],[13368, 23899])).
% 50.92/33.56 tff(23901,plain,
% 50.92/33.56 (~node17(s7)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23691, 23900])).
% 50.92/33.56 tff(23902,plain,
% 50.92/33.56 (node11(s7)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23678, 14636, 13267, 23850, 23700])).
% 50.92/33.56 tff(23903,plain,
% 50.92/33.56 ($false),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23662, 23902, 14636, 14626])).
% 50.92/33.56 tff(23904,plain,((~m_processor_v_cmd(c_p1, s7, c_idle)) | node8(s7) | (~m_memory_v_cmd(c_m, s7, c_idle)) | node12(s7) | (~m_processor_v_cmd(c_p0, s7, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.56 tff(23905,plain,
% 50.92/33.56 (~m_memory_v_cmd(c_m, s7, c_idle)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23904, 14636, 23700, 14626, 13266])).
% 50.92/33.56 tff(23906,plain,
% 50.92/33.56 (node29(c_m, s7)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[13225, 23905])).
% 50.92/33.56 tff(23907,plain,
% 50.92/33.56 (m_memory_v_master(c_m, s7)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[13217, 23906])).
% 50.92/33.56 tff(23908,plain,
% 50.92/33.56 ($false),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[13209, 23907, 23901])).
% 50.92/33.56 tff(23909,plain,((~m_processor_v_cmd(c_p1, s7, c_idle)) | node12(s7) | node8(s7) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | m_main_v_CMD(s7, c_response)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.56 tff(23910,plain,
% 50.92/33.56 (node12(s7)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23909, 23719, 14636, 23803, 23849])).
% 50.92/33.56 tff(23911,plain,
% 50.92/33.56 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | (~node12(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | (~node12(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared)))),
% 50.92/33.56 inference(rewrite,[status(thm)],[])).
% 50.92/33.56 tff(23912,plain,
% 50.92/33.56 (((~m_main_v_CMD(s7, c_write_h_resp_h_shared)) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | (~node12(s7))) <=> (m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | (~node12(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared)))),
% 50.92/33.56 inference(rewrite,[status(thm)],[])).
% 50.92/33.56 tff(23913,plain,
% 50.92/33.56 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s7, c_write_h_resp_h_shared)) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | (~node12(s7)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | (~node12(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared))))),
% 50.92/33.56 inference(monotonicity,[status(thm)],[23912])).
% 50.92/33.56 tff(23914,plain,
% 50.92/33.56 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s7, c_write_h_resp_h_shared)) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | (~node12(s7)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | (~node12(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared)))),
% 50.92/33.56 inference(transitivity,[status(thm)],[23913, 23911])).
% 50.92/33.56 tff(23915,plain,
% 50.92/33.56 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s7, c_write_h_resp_h_shared)) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | (~node12(s7)))),
% 50.92/33.56 inference(quant_inst,[status(thm)],[])).
% 50.92/33.56 tff(23916,plain,
% 50.92/33.56 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | (~node12(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared))),
% 50.92/33.56 inference(modus_ponens,[status(thm)],[23915, 23914])).
% 50.92/33.56 tff(23917,plain,
% 50.92/33.56 ((~node12(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared))),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23916, 3644, 23811])).
% 50.92/33.56 tff(23918,plain,
% 50.92/33.56 (~m_main_v_CMD(s7, c_write_h_resp_h_shared)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23917, 23910])).
% 50.92/33.56 tff(23919,plain,
% 50.92/33.56 (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23838, 23918])).
% 50.92/33.56 tff(23920,plain,
% 50.92/33.56 ($false),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23845, 23919, 23784])).
% 50.92/33.56 tff(23921,plain,(m_main_v_CMD(s7, c_response) | node50(c_p0, s7) | node48(c_p0, s7) | m_processor_v_abort(c_p0, s7) | node52(c_p0, s7, s8) | node47(c_p0, s7) | (~m_processor_v_cmd(c_p1, s7, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.56 tff(23922,plain,
% 50.92/33.56 (m_main_v_CMD(s7, c_response)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23921, 23760, 23759, 14439, 23758, 23624, 14636])).
% 50.92/33.56 tff(23923,plain,
% 50.92/33.56 (~m_processor_v_cmd(c_p0, s7, c_response)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23806, 19905, 13266])).
% 50.92/33.56 tff(23924,plain,
% 50.92/33.56 (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23810, 4285, 13266])).
% 50.92/33.56 tff(23925,plain,
% 50.92/33.56 (~node8(s7)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23848, 23760, 23759, 23924, 14439, 23624, 23758, 23923])).
% 50.92/33.56 tff(23926,plain,
% 50.92/33.56 (node12(s7)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23904, 23925, 14636, 13267, 13266])).
% 50.92/33.56 tff(23927,plain,
% 50.92/33.56 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~node12(s7)) | m_processor_v_cmd(c_p0, s7, c_response) | (~m_main_v_CMD(s7, c_response)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~node12(s7)) | m_processor_v_cmd(c_p0, s7, c_response) | (~m_main_v_CMD(s7, c_response)))),
% 50.92/33.56 inference(rewrite,[status(thm)],[])).
% 50.92/33.56 tff(23928,plain,
% 50.92/33.56 (((~m_main_v_CMD(s7, c_response)) | m_processor_v_cmd(c_p0, s7, c_response) | (~node12(s7))) <=> ((~node12(s7)) | m_processor_v_cmd(c_p0, s7, c_response) | (~m_main_v_CMD(s7, c_response)))),
% 50.92/33.56 inference(rewrite,[status(thm)],[])).
% 50.92/33.56 tff(23929,plain,
% 50.92/33.56 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s7, c_response)) | m_processor_v_cmd(c_p0, s7, c_response) | (~node12(s7)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~node12(s7)) | m_processor_v_cmd(c_p0, s7, c_response) | (~m_main_v_CMD(s7, c_response))))),
% 50.92/33.56 inference(monotonicity,[status(thm)],[23928])).
% 50.92/33.56 tff(23930,plain,
% 50.92/33.56 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s7, c_response)) | m_processor_v_cmd(c_p0, s7, c_response) | (~node12(s7)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~node12(s7)) | m_processor_v_cmd(c_p0, s7, c_response) | (~m_main_v_CMD(s7, c_response)))),
% 50.92/33.56 inference(transitivity,[status(thm)],[23929, 23927])).
% 50.92/33.56 tff(23931,plain,
% 50.92/33.56 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s7, c_response)) | m_processor_v_cmd(c_p0, s7, c_response) | (~node12(s7)))),
% 50.92/33.56 inference(quant_inst,[status(thm)],[])).
% 50.92/33.56 tff(23932,plain,
% 50.92/33.56 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~node12(s7)) | m_processor_v_cmd(c_p0, s7, c_response) | (~m_main_v_CMD(s7, c_response))),
% 50.92/33.56 inference(modus_ponens,[status(thm)],[23931, 23930])).
% 50.92/33.56 tff(23933,plain,
% 50.92/33.56 ((~node12(s7)) | (~m_main_v_CMD(s7, c_response))),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23932, 3644, 23923])).
% 50.92/33.56 tff(23934,plain,
% 50.92/33.56 ($false),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23933, 23926, 23922])).
% 50.92/33.56 tff(23935,plain,(node52(c_p0, s7, s8) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_memory_v_cmd(c_m, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | node48(c_p0, s7) | m_processor_v_abort(c_p0, s7) | node47(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.56 tff(23936,plain,
% 50.92/33.56 (~m_processor_v_cmd(c_p1, s7, c_idle)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23935, 23602, 13267, 23598, 23623, 23619, 23609])).
% 50.92/33.56 tff(23937,plain,
% 50.92/33.56 (m_processor_v_master(c_p1, s7)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[14619, 23936])).
% 50.92/33.56 tff(23938,plain,
% 50.92/33.56 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p1, s7, c_shared) | (~node63(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p1, s7, c_shared) | (~node63(c_p1, s7)))),
% 50.92/33.56 inference(rewrite,[status(thm)],[])).
% 50.92/33.56 tff(23939,plain,
% 50.92/33.56 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p1, s7, c_shared) | (~node63(c_p1, s7)))),
% 50.92/33.56 inference(quant_inst,[status(thm)],[])).
% 50.92/33.56 tff(23940,plain,
% 50.92/33.56 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p1, s7, c_shared) | (~node63(c_p1, s7))),
% 50.92/33.56 inference(modus_ponens,[status(thm)],[23939, 23938])).
% 50.92/33.56 tff(23941,plain,
% 50.92/33.56 (~node63(c_p1, s7)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23940, 1809, 13521])).
% 50.92/33.56 tff(23942,plain,
% 50.92/33.56 (~m_processor_v_REPLY_h_STALL(c_p0, s7)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[15430, 15424])).
% 50.92/33.56 tff(23943,plain,
% 50.92/33.56 (~m_main_v_REPLY_h_STALL(s7)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[15438, 23942])).
% 50.92/33.56 tff(23944,assumption,(m_processor_v_REPLY_h_STALL(c_p1, s7)), introduced(assumption)).
% 50.92/33.56 tff(23945,plain,
% 50.92/33.56 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | (m_main_v_REPLY_h_STALL(s7) | (~m_processor_v_REPLY_h_STALL(c_p1, s7)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | m_main_v_REPLY_h_STALL(s7) | (~m_processor_v_REPLY_h_STALL(c_p1, s7)))),
% 50.92/33.56 inference(rewrite,[status(thm)],[])).
% 50.92/33.56 tff(23946,plain,
% 50.92/33.56 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | (m_main_v_REPLY_h_STALL(s7) | (~m_processor_v_REPLY_h_STALL(c_p1, s7)))),
% 50.92/33.56 inference(quant_inst,[status(thm)],[])).
% 50.92/33.56 tff(23947,plain,
% 50.92/33.56 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p1, X)))) | m_main_v_REPLY_h_STALL(s7) | (~m_processor_v_REPLY_h_STALL(c_p1, s7))),
% 50.92/33.56 inference(modus_ponens,[status(thm)],[23946, 23945])).
% 50.92/33.56 tff(23948,plain,
% 50.92/33.56 ($false),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23947, 1399, 23944, 15441])).
% 50.92/33.56 tff(23949,plain,(m_main_v_REPLY_h_STALL(s7) | (~m_processor_v_REPLY_h_STALL(c_p1, s7))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.56 tff(23950,plain,
% 50.92/33.56 (~m_processor_v_REPLY_h_STALL(c_p1, s7)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23949, 23943])).
% 50.92/33.56 tff(23951,assumption,(m_processor_v_abort(c_p1, s7)), introduced(assumption)).
% 50.92/33.56 tff(23952,assumption,(~node61(c_p1, s7)), introduced(assumption)).
% 50.92/33.56 tff(23953,assumption,(~m_processor_v_REPLY_h_STALL(c_p1, s7)), introduced(assumption)).
% 50.92/33.56 tff(23954,plain,
% 50.92/33.56 (((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p1, s7)) | m_processor_v_REPLY_h_STALL(c_p1, s7) | node61(c_p1, s7))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p1, s7)) | m_processor_v_REPLY_h_STALL(c_p1, s7) | node61(c_p1, s7))),
% 50.92/33.56 inference(rewrite,[status(thm)],[])).
% 50.92/33.56 tff(23955,plain,
% 50.92/33.56 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p1, s7)) | m_processor_v_REPLY_h_STALL(c_p1, s7) | node61(c_p1, s7))),
% 50.92/33.56 inference(quant_inst,[status(thm)],[])).
% 50.92/33.56 tff(23956,plain,
% 50.92/33.56 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p1, s7)) | m_processor_v_REPLY_h_STALL(c_p1, s7) | node61(c_p1, s7)),
% 50.92/33.56 inference(modus_ponens,[status(thm)],[23955, 23954])).
% 50.92/33.56 tff(23957,plain,
% 50.92/33.56 ($false),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23956, 1417, 23951, 23953, 23952])).
% 50.92/33.56 tff(23958,plain,((~m_processor_v_abort(c_p1, s7)) | m_processor_v_REPLY_h_STALL(c_p1, s7) | node61(c_p1, s7)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.56 tff(23959,plain,
% 50.92/33.56 (node61(c_p1, s7)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23958, 23951, 23950])).
% 50.92/33.56 tff(23960,assumption,(node61(c_p1, s7)), introduced(assumption)).
% 50.92/33.56 tff(23961,plain,
% 50.92/33.56 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | (~node61(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | (~node61(c_p1, s7)))),
% 50.92/33.56 inference(rewrite,[status(thm)],[])).
% 50.92/33.56 tff(23962,plain,
% 50.92/33.56 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | (~node61(c_p1, s7)))),
% 50.92/33.56 inference(quant_inst,[status(thm)],[])).
% 50.92/33.56 tff(23963,plain,
% 50.92/33.56 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | (~node61(c_p1, s7))),
% 50.92/33.56 inference(modus_ponens,[status(thm)],[23962, 23961])).
% 50.92/33.56 tff(23964,plain,
% 50.92/33.56 ($false),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23963, 2268, 13376, 13173, 23960])).
% 50.92/33.56 tff(23965,plain,(m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | (~node61(c_p1, s7))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.56 tff(23966,plain,
% 50.92/33.56 (m_processor_v_CMD(c_p1, s7, c_read_h_shared)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23965, 23959, 13376])).
% 50.92/33.56 tff(23967,plain,
% 50.92/33.56 (~m_processor_v_REPLY_h_WAITING(c_p0, s7)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23500, 15424, 23491])).
% 50.92/33.56 tff(23968,plain,
% 50.92/33.56 (~m_main_v_REPLY_h_WAITING(s7)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23489, 23967])).
% 50.92/33.56 tff(23969,assumption,(m_processor_v_REPLY_h_WAITING(c_p1, s7)), introduced(assumption)).
% 50.92/33.56 tff(23970,plain,
% 50.92/33.56 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | (m_main_v_REPLY_h_WAITING(s7) | (~m_processor_v_REPLY_h_WAITING(c_p1, s7)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | m_main_v_REPLY_h_WAITING(s7) | (~m_processor_v_REPLY_h_WAITING(c_p1, s7)))),
% 50.92/33.56 inference(rewrite,[status(thm)],[])).
% 50.92/33.56 tff(23971,plain,
% 50.92/33.56 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | (m_main_v_REPLY_h_WAITING(s7) | (~m_processor_v_REPLY_h_WAITING(c_p1, s7)))),
% 50.92/33.56 inference(quant_inst,[status(thm)],[])).
% 50.92/33.56 tff(23972,plain,
% 50.92/33.56 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | m_main_v_REPLY_h_WAITING(s7) | (~m_processor_v_REPLY_h_WAITING(c_p1, s7))),
% 50.92/33.56 inference(modus_ponens,[status(thm)],[23971, 23970])).
% 50.92/33.56 tff(23973,plain,
% 50.92/33.56 ($false),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23972, 7866, 23969, 23476])).
% 50.92/33.56 tff(23974,plain,(m_main_v_REPLY_h_WAITING(s7) | (~m_processor_v_REPLY_h_WAITING(c_p1, s7))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.56 tff(23975,plain,
% 50.92/33.56 (~m_processor_v_REPLY_h_WAITING(c_p1, s7)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23974, 23968])).
% 50.92/33.56 tff(23976,plain,
% 50.92/33.56 (node61(c_p1, s7)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23958, 23950, 23951])).
% 50.92/33.56 tff(23977,assumption,(~m_processor_v_REPLY_h_WAITING(c_p1, s7)), introduced(assumption)).
% 50.92/33.56 tff(23978,plain,
% 50.92/33.56 (((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p1, s7) | (~node61(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p1, s7) | (~node61(c_p1, s7)))),
% 50.92/33.56 inference(rewrite,[status(thm)],[])).
% 50.92/33.56 tff(23979,plain,
% 50.92/33.56 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p1, s7) | (~node61(c_p1, s7)))),
% 50.92/33.56 inference(quant_inst,[status(thm)],[])).
% 50.92/33.56 tff(23980,plain,
% 50.92/33.56 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p1, s7) | (~node61(c_p1, s7))),
% 50.92/33.56 inference(modus_ponens,[status(thm)],[23979, 23978])).
% 50.92/33.56 tff(23981,plain,
% 50.92/33.56 ($false),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23980, 1891, 23977, 23960])).
% 50.92/33.56 tff(23982,plain,((~node61(c_p1, s7)) | m_processor_v_REPLY_h_WAITING(c_p1, s7)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.56 tff(23983,plain,
% 50.92/33.56 ($false),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23982, 23976, 23975])).
% 50.92/33.56 tff(23984,plain,((~node60(c_p0, s7)) | (~m_processor_v_abort(c_p1, s7)) | node59(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.56 tff(23985,plain,
% 50.92/33.56 (node59(c_p0, s7)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23984, 23951, 15424])).
% 50.92/33.56 tff(23986,assumption,(node59(c_p0, s7)), introduced(assumption)).
% 50.92/33.56 tff(23987,plain,
% 50.92/33.56 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~node59(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~node59(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)))),
% 50.92/33.56 inference(rewrite,[status(thm)],[])).
% 50.92/33.56 tff(23988,plain,
% 50.92/33.56 (((~m_processor_v_CMD(c_p0, s7, c_read_h_shared)) | (~node59(c_p0, s7))) <=> ((~node59(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)))),
% 50.92/33.56 inference(rewrite,[status(thm)],[])).
% 50.92/33.56 tff(23989,plain,
% 50.92/33.56 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s7, c_read_h_shared)) | (~node59(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~node59(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared))))),
% 50.92/33.56 inference(monotonicity,[status(thm)],[23988])).
% 50.92/33.56 tff(23990,plain,
% 50.92/33.56 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s7, c_read_h_shared)) | (~node59(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~node59(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)))),
% 50.92/33.56 inference(transitivity,[status(thm)],[23989, 23987])).
% 50.92/33.56 tff(23991,plain,
% 50.92/33.56 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s7, c_read_h_shared)) | (~node59(c_p0, s7)))),
% 50.92/33.56 inference(quant_inst,[status(thm)],[])).
% 50.92/33.56 tff(23992,plain,
% 50.92/33.56 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~node59(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_shared))),
% 50.92/33.56 inference(modus_ponens,[status(thm)],[23991, 23990])).
% 50.92/33.56 tff(23993,plain,
% 50.92/33.56 ($false),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23992, 3834, 16209, 23986])).
% 50.92/33.56 tff(23994,plain,((~m_processor_v_CMD(c_p0, s7, c_read_h_shared)) | (~node59(c_p0, s7))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.56 tff(23995,plain,
% 50.92/33.56 (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23994, 23985])).
% 50.92/33.56 tff(23996,plain,
% 50.92/33.56 (~m_main_v_CMD(s7, c_read_h_shared)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[14580, 23995])).
% 50.92/33.56 tff(23997,assumption,(m_processor_v_CMD(c_p1, s7, c_read_h_shared)), introduced(assumption)).
% 50.92/33.56 tff(23998,plain,
% 50.92/33.56 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s7, c_read_h_shared) | (~node3(s7)) | (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s7, c_read_h_shared) | (~node3(s7)) | (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)))),
% 50.92/33.56 inference(rewrite,[status(thm)],[])).
% 50.92/33.56 tff(23999,plain,
% 50.92/33.56 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s7, c_read_h_shared) | (~node3(s7)) | (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)))),
% 50.92/33.56 inference(quant_inst,[status(thm)],[])).
% 50.92/33.56 tff(24000,plain,
% 50.92/33.56 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s7, c_read_h_shared) | (~node3(s7)) | (~m_processor_v_CMD(c_p1, s7, c_read_h_shared))),
% 50.92/33.56 inference(modus_ponens,[status(thm)],[23999, 23998])).
% 50.92/33.56 tff(24001,plain,
% 50.92/33.56 ($false),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[24000, 1260, 13178, 13194, 23997])).
% 50.92/33.56 tff(24002,plain,((~m_processor_v_CMD(c_p1, s7, c_read_h_shared)) | m_main_v_CMD(s7, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.56 tff(24003,plain,
% 50.92/33.56 ($false),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[24002, 23996, 23966])).
% 50.92/33.56 tff(24004,plain,((~m_processor_v_abort(c_p1, s7)) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | (~node60(c_p0, s7))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.56 tff(24005,plain,
% 50.92/33.56 (~m_processor_v_abort(c_p1, s7)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[24004, 13376, 15424])).
% 50.92/33.56 tff(24006,assumption,(~m_processor_v_abort(c_p1, s7)), introduced(assumption)).
% 50.92/33.56 tff(24007,plain,
% 50.92/33.56 (node34(c_p1, s7, s8)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23515, 24006, 13188])).
% 50.92/33.56 tff(24008,plain,
% 50.92/33.56 ($false),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23524, 416, 6360, 23518, 23997])).
% 50.92/33.56 tff(24009,plain,((~node34(c_p1, s7, s8)) | m_processor_v_state(c_p1, s8, c_shared) | (~m_processor_v_CMD(c_p1, s7, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.56 tff(24010,plain,
% 50.92/33.56 (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[24009, 24007, 6360])).
% 50.92/33.56 tff(24011,assumption,(~node63(c_p1, s7)), introduced(assumption)).
% 50.92/33.56 tff(24012,assumption,(~m_main_v_CMD(s7, c_write_h_invalid)), introduced(assumption)).
% 50.92/33.56 tff(24013,plain,
% 50.92/33.56 (~node62(c_p1, s7)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[13316, 1633, 13436])).
% 50.92/33.56 tff(24014,plain,
% 50.92/33.56 (~m_processor_v_state(c_p1, s7, c_shared)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[13518, 121, 13435])).
% 50.92/33.56 tff(24015,plain,
% 50.92/33.56 (~node63(c_p1, s7)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[23940, 1809, 24014])).
% 50.92/33.56 tff(24016,plain,
% 50.92/33.56 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid)))),
% 50.92/33.56 inference(rewrite,[status(thm)],[])).
% 50.92/33.56 tff(24017,plain,
% 50.92/33.56 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid)))),
% 50.92/33.56 inference(quant_inst,[status(thm)],[])).
% 50.92/33.56 tff(24018,plain,
% 50.92/33.56 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid))),
% 50.92/33.56 inference(modus_ponens,[status(thm)],[24017, 24016])).
% 50.92/33.56 tff(24019,plain,
% 50.92/33.56 (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[24018, 4296, 14636])).
% 50.92/33.56 tff(24020,plain,
% 50.92/33.56 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_master(c_p1, s7)) | node63(c_p1, s7) | node62(c_p1, s7) | (~m_processor_v_snoop(c_p1, s7, c_owned)) | m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_master(c_p1, s7)) | node63(c_p1, s7) | node62(c_p1, s7) | (~m_processor_v_snoop(c_p1, s7, c_owned)) | m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid))),
% 50.92/33.56 inference(rewrite,[status(thm)],[])).
% 50.92/33.56 tff(24021,plain,
% 50.92/33.56 ((m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s7, c_owned)) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_master(c_p1, s7)) | node62(c_p1, s7) | node63(c_p1, s7)) <=> ((~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_master(c_p1, s7)) | node63(c_p1, s7) | node62(c_p1, s7) | (~m_processor_v_snoop(c_p1, s7, c_owned)) | m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid))),
% 50.92/33.56 inference(rewrite,[status(thm)],[])).
% 50.92/33.56 tff(24022,plain,
% 50.92/33.56 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s7, c_owned)) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_master(c_p1, s7)) | node62(c_p1, s7) | node63(c_p1, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_master(c_p1, s7)) | node63(c_p1, s7) | node62(c_p1, s7) | (~m_processor_v_snoop(c_p1, s7, c_owned)) | m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid)))),
% 50.92/33.56 inference(monotonicity,[status(thm)],[24021])).
% 50.92/33.56 tff(24023,plain,
% 50.92/33.56 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s7, c_owned)) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_master(c_p1, s7)) | node62(c_p1, s7) | node63(c_p1, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_master(c_p1, s7)) | node63(c_p1, s7) | node62(c_p1, s7) | (~m_processor_v_snoop(c_p1, s7, c_owned)) | m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid))),
% 50.92/33.56 inference(transitivity,[status(thm)],[24022, 24020])).
% 50.92/33.56 tff(24024,plain,
% 50.92/33.56 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s7, c_owned)) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_master(c_p1, s7)) | node62(c_p1, s7) | node63(c_p1, s7))),
% 50.92/33.56 inference(quant_inst,[status(thm)],[])).
% 50.92/33.56 tff(24025,plain,
% 50.92/33.56 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_master(c_p1, s7)) | node63(c_p1, s7) | node62(c_p1, s7) | (~m_processor_v_snoop(c_p1, s7, c_owned)) | m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid)),
% 50.92/33.56 inference(modus_ponens,[status(thm)],[24024, 24023])).
% 50.92/33.56 tff(24026,plain,
% 50.92/33.56 (node63(c_p1, s7) | node62(c_p1, s7) | (~m_processor_v_snoop(c_p1, s7, c_owned)) | m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[24025, 7172, 13435, 13188])).
% 50.92/33.56 tff(24027,plain,
% 50.92/33.56 (~m_processor_v_snoop(c_p1, s7, c_owned)),
% 50.92/33.56 inference(unit_resolution,[status(thm)],[24026, 24019, 24015, 24013])).
% 50.92/33.56 tff(24028,plain,
% 50.92/33.56 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p1, s7, c_owned) | (~node64(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p1, s7, c_owned) | (~node64(c_p1, s7)))),
% 50.92/33.57 inference(rewrite,[status(thm)],[])).
% 50.92/33.57 tff(24029,plain,
% 50.92/33.57 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p1, s7, c_owned) | (~node64(c_p1, s7)))),
% 50.92/33.57 inference(quant_inst,[status(thm)],[])).
% 50.92/33.57 tff(24030,plain,
% 50.92/33.57 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p1, s7, c_owned) | (~node64(c_p1, s7))),
% 50.92/33.57 inference(modus_ponens,[status(thm)],[24029, 24028])).
% 50.92/33.57 tff(24031,plain,
% 50.92/33.57 (~node64(c_p1, s7)),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[24030, 4082, 24027])).
% 50.92/33.57 tff(24032,plain,
% 50.92/33.57 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_invalid)))),
% 50.92/33.57 inference(rewrite,[status(thm)],[])).
% 50.92/33.57 tff(24033,plain,
% 50.92/33.57 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_invalid)))),
% 50.92/33.57 inference(quant_inst,[status(thm)],[])).
% 50.92/33.57 tff(24034,plain,
% 50.92/33.57 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_invalid))),
% 50.92/33.57 inference(modus_ponens,[status(thm)],[24033, 24032])).
% 50.92/33.57 tff(24035,plain,
% 50.92/33.57 (~m_processor_v_cmd(c_p1, s7, c_write_h_invalid)),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[24034, 3630, 14636])).
% 50.92/33.57 tff(24036,plain,
% 50.92/33.57 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared)))),
% 50.92/33.57 inference(rewrite,[status(thm)],[])).
% 50.92/33.57 tff(24037,plain,
% 50.92/33.57 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared)))),
% 50.92/33.57 inference(quant_inst,[status(thm)],[])).
% 50.92/33.57 tff(24038,plain,
% 50.92/33.57 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared))),
% 50.92/33.57 inference(modus_ponens,[status(thm)],[24037, 24036])).
% 50.92/33.57 tff(24039,plain,
% 50.92/33.57 (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared)),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[24038, 4285, 14636])).
% 50.92/33.57 tff(24040,plain,
% 50.92/33.57 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_master(c_p1, s7)) | node63(c_p1, s7) | node62(c_p1, s7) | node64(c_p1, s7) | m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s7, c_shared)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_master(c_p1, s7)) | node63(c_p1, s7) | node62(c_p1, s7) | node64(c_p1, s7) | m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s7, c_shared)))),
% 50.92/33.57 inference(rewrite,[status(thm)],[])).
% 50.92/33.57 tff(24041,plain,
% 50.92/33.57 ((m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s7, c_shared)) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_master(c_p1, s7)) | node62(c_p1, s7) | node63(c_p1, s7) | node64(c_p1, s7)) <=> ((~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_master(c_p1, s7)) | node63(c_p1, s7) | node62(c_p1, s7) | node64(c_p1, s7) | m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s7, c_shared)))),
% 50.92/33.57 inference(rewrite,[status(thm)],[])).
% 50.92/33.57 tff(24042,plain,
% 50.92/33.57 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s7, c_shared)) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_master(c_p1, s7)) | node62(c_p1, s7) | node63(c_p1, s7) | node64(c_p1, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_master(c_p1, s7)) | node63(c_p1, s7) | node62(c_p1, s7) | node64(c_p1, s7) | m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s7, c_shared))))),
% 50.92/33.57 inference(monotonicity,[status(thm)],[24041])).
% 50.92/33.57 tff(24043,plain,
% 50.92/33.57 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s7, c_shared)) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_master(c_p1, s7)) | node62(c_p1, s7) | node63(c_p1, s7) | node64(c_p1, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_master(c_p1, s7)) | node63(c_p1, s7) | node62(c_p1, s7) | node64(c_p1, s7) | m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s7, c_shared)))),
% 50.92/33.57 inference(transitivity,[status(thm)],[24042, 24040])).
% 50.92/33.57 tff(24044,plain,
% 50.92/33.57 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s7, c_shared)) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_master(c_p1, s7)) | node62(c_p1, s7) | node63(c_p1, s7) | node64(c_p1, s7))),
% 50.92/33.57 inference(quant_inst,[status(thm)],[])).
% 50.92/33.57 tff(24045,plain,
% 50.92/33.57 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_master(c_p1, s7)) | node63(c_p1, s7) | node62(c_p1, s7) | node64(c_p1, s7) | m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s7, c_shared))),
% 50.92/33.57 inference(modus_ponens,[status(thm)],[24044, 24043])).
% 50.92/33.57 tff(24046,plain,
% 50.92/33.57 (node63(c_p1, s7) | node62(c_p1, s7) | node64(c_p1, s7) | m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s7, c_shared))),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[24045, 7256, 13435, 13188])).
% 50.92/33.57 tff(24047,plain,
% 50.92/33.57 (~m_processor_v_snoop(c_p1, s7, c_shared)),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[24046, 24031, 24039, 24015, 24013])).
% 50.92/33.57 tff(24048,plain,
% 50.92/33.57 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s7, c_invalid) | m_processor_v_snoop(c_p1, s7, c_shared) | m_processor_v_snoop(c_p1, s7, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p1, s7, c_invalid) | m_processor_v_snoop(c_p1, s7, c_shared) | m_processor_v_snoop(c_p1, s7, c_owned))),
% 50.92/33.57 inference(rewrite,[status(thm)],[])).
% 50.92/33.57 tff(24049,plain,
% 50.92/33.57 ((m_processor_v_snoop(c_p1, s7, c_shared) | m_processor_v_snoop(c_p1, s7, c_owned) | m_processor_v_snoop(c_p1, s7, c_invalid)) <=> (m_processor_v_snoop(c_p1, s7, c_invalid) | m_processor_v_snoop(c_p1, s7, c_shared) | m_processor_v_snoop(c_p1, s7, c_owned))),
% 50.92/33.57 inference(rewrite,[status(thm)],[])).
% 50.92/33.57 tff(24050,plain,
% 50.92/33.57 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s7, c_shared) | m_processor_v_snoop(c_p1, s7, c_owned) | m_processor_v_snoop(c_p1, s7, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s7, c_invalid) | m_processor_v_snoop(c_p1, s7, c_shared) | m_processor_v_snoop(c_p1, s7, c_owned)))),
% 50.92/33.57 inference(monotonicity,[status(thm)],[24049])).
% 50.92/33.57 tff(24051,plain,
% 50.92/33.57 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s7, c_shared) | m_processor_v_snoop(c_p1, s7, c_owned) | m_processor_v_snoop(c_p1, s7, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p1, s7, c_invalid) | m_processor_v_snoop(c_p1, s7, c_shared) | m_processor_v_snoop(c_p1, s7, c_owned))),
% 50.92/33.57 inference(transitivity,[status(thm)],[24050, 24048])).
% 50.92/33.57 tff(24052,plain,
% 50.92/33.57 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p1, s7, c_shared) | m_processor_v_snoop(c_p1, s7, c_owned) | m_processor_v_snoop(c_p1, s7, c_invalid))),
% 50.92/33.57 inference(quant_inst,[status(thm)],[])).
% 50.92/33.57 tff(24053,plain,
% 50.92/33.57 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p1, s7, c_invalid) | m_processor_v_snoop(c_p1, s7, c_shared) | m_processor_v_snoop(c_p1, s7, c_owned)),
% 50.92/33.57 inference(modus_ponens,[status(thm)],[24052, 24051])).
% 50.92/33.57 tff(24054,plain,
% 50.92/33.57 (m_processor_v_snoop(c_p1, s7, c_invalid) | m_processor_v_snoop(c_p1, s7, c_shared)),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[24053, 7213, 24027])).
% 50.92/33.57 tff(24055,plain,
% 50.92/33.57 (m_processor_v_snoop(c_p1, s7, c_invalid)),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[24054, 24047])).
% 50.92/33.57 tff(24056,plain,
% 50.92/33.57 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_cmd(c_p1, s7, c_write_h_invalid) | (~m_processor_v_master(c_p1, s7)) | (~m_processor_v_snoop(c_p1, s7, c_invalid)) | node63(c_p1, s7) | node62(c_p1, s7) | node64(c_p1, s7) | node65(c_p1, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_cmd(c_p1, s7, c_write_h_invalid) | (~m_processor_v_master(c_p1, s7)) | (~m_processor_v_snoop(c_p1, s7, c_invalid)) | node63(c_p1, s7) | node62(c_p1, s7) | node64(c_p1, s7) | node65(c_p1, s7))),
% 50.92/33.57 inference(rewrite,[status(thm)],[])).
% 50.92/33.57 tff(24057,plain,
% 50.92/33.57 ((m_processor_v_cmd(c_p1, s7, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s7, c_invalid)) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_master(c_p1, s7)) | node62(c_p1, s7) | node63(c_p1, s7) | node64(c_p1, s7) | node65(c_p1, s7)) <=> ((~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_cmd(c_p1, s7, c_write_h_invalid) | (~m_processor_v_master(c_p1, s7)) | (~m_processor_v_snoop(c_p1, s7, c_invalid)) | node63(c_p1, s7) | node62(c_p1, s7) | node64(c_p1, s7) | node65(c_p1, s7))),
% 50.92/33.57 inference(rewrite,[status(thm)],[])).
% 50.92/33.57 tff(24058,plain,
% 50.92/33.57 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p1, s7, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s7, c_invalid)) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_master(c_p1, s7)) | node62(c_p1, s7) | node63(c_p1, s7) | node64(c_p1, s7) | node65(c_p1, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_cmd(c_p1, s7, c_write_h_invalid) | (~m_processor_v_master(c_p1, s7)) | (~m_processor_v_snoop(c_p1, s7, c_invalid)) | node63(c_p1, s7) | node62(c_p1, s7) | node64(c_p1, s7) | node65(c_p1, s7)))),
% 50.92/33.57 inference(monotonicity,[status(thm)],[24057])).
% 50.92/33.57 tff(24059,plain,
% 50.92/33.57 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p1, s7, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s7, c_invalid)) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_master(c_p1, s7)) | node62(c_p1, s7) | node63(c_p1, s7) | node64(c_p1, s7) | node65(c_p1, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_cmd(c_p1, s7, c_write_h_invalid) | (~m_processor_v_master(c_p1, s7)) | (~m_processor_v_snoop(c_p1, s7, c_invalid)) | node63(c_p1, s7) | node62(c_p1, s7) | node64(c_p1, s7) | node65(c_p1, s7))),
% 50.92/33.57 inference(transitivity,[status(thm)],[24058, 24056])).
% 50.92/33.57 tff(24060,plain,
% 50.92/33.57 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p1, s7, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s7, c_invalid)) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_master(c_p1, s7)) | node62(c_p1, s7) | node63(c_p1, s7) | node64(c_p1, s7) | node65(c_p1, s7))),
% 50.92/33.57 inference(quant_inst,[status(thm)],[])).
% 50.92/33.57 tff(24061,plain,
% 50.92/33.57 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_cmd(c_p1, s7, c_write_h_invalid) | (~m_processor_v_master(c_p1, s7)) | (~m_processor_v_snoop(c_p1, s7, c_invalid)) | node63(c_p1, s7) | node62(c_p1, s7) | node64(c_p1, s7) | node65(c_p1, s7)),
% 50.92/33.57 inference(modus_ponens,[status(thm)],[24060, 24059])).
% 50.92/33.57 tff(24062,plain,
% 50.92/33.57 (m_processor_v_cmd(c_p1, s7, c_write_h_invalid) | (~m_processor_v_snoop(c_p1, s7, c_invalid)) | node63(c_p1, s7) | node62(c_p1, s7) | node64(c_p1, s7) | node65(c_p1, s7)),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[24061, 7232, 13435, 13188])).
% 50.92/33.57 tff(24063,plain,
% 50.92/33.57 (node65(c_p1, s7)),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[24062, 24055, 24035, 24015, 24013, 24031])).
% 50.92/33.57 tff(24064,plain,
% 50.92/33.57 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p1, s7, c_shared) | (~node65(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p1, s7, c_shared) | (~node65(c_p1, s7)))),
% 50.92/33.57 inference(rewrite,[status(thm)],[])).
% 50.92/33.57 tff(24065,plain,
% 50.92/33.57 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p1, s7, c_shared) | (~node65(c_p1, s7)))),
% 50.92/33.57 inference(quant_inst,[status(thm)],[])).
% 50.92/33.57 tff(24066,plain,
% 50.92/33.57 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p1, s7, c_shared) | (~node65(c_p1, s7))),
% 50.92/33.57 inference(modus_ponens,[status(thm)],[24065, 24064])).
% 50.92/33.57 tff(24067,plain,
% 50.92/33.57 ($false),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[24066, 4107, 24047, 24063])).
% 50.92/33.57 tff(24068,plain,((~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_master(c_p1, s7))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.57 tff(24069,plain,
% 50.92/33.57 (~m_processor_v_cmd(c_p1, s7, c_idle)),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[24068, 13188, 13435])).
% 50.92/33.57 tff(24070,plain,
% 50.92/33.57 (~node9(s7)),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[13282, 3443, 24069])).
% 50.92/33.57 tff(24071,plain,
% 50.92/33.57 (~m_processor_v_master(c_p2, s7)),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[13372, 1545, 13192])).
% 50.92/33.57 tff(24072,plain,
% 50.92/33.57 (m_processor_v_cmd(c_p2, s7, c_idle)),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[13368, 24071])).
% 50.92/33.57 tff(24073,plain,
% 50.92/33.57 (node10(s7)),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[13293, 24072, 13226, 24070])).
% 50.92/33.57 tff(24074,assumption,(m_processor_v_cmd(c_p1, s7, c_write_h_invalid)), introduced(assumption)).
% 50.92/33.57 tff(24075,plain,
% 50.92/33.57 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s7, c_write_h_invalid) | (~node10(s7)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | m_main_v_CMD(s7, c_write_h_invalid) | (~node10(s7)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_invalid)))),
% 50.92/33.57 inference(rewrite,[status(thm)],[])).
% 50.92/33.57 tff(24076,plain,
% 50.92/33.57 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s7, c_write_h_invalid) | (~node10(s7)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_invalid)))),
% 50.92/33.57 inference(quant_inst,[status(thm)],[])).
% 50.92/33.57 tff(24077,plain,
% 50.92/33.57 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | m_main_v_CMD(s7, c_write_h_invalid) | (~node10(s7)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_invalid))),
% 50.92/33.57 inference(modus_ponens,[status(thm)],[24076, 24075])).
% 50.92/33.57 tff(24078,plain,
% 50.92/33.57 ($false),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[24077, 3481, 24074, 24012, 13259])).
% 50.92/33.57 tff(24079,plain,((~m_processor_v_cmd(c_p1, s7, c_write_h_invalid)) | m_main_v_CMD(s7, c_write_h_invalid) | (~node10(s7))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.57 tff(24080,plain,
% 50.92/33.57 (~m_processor_v_cmd(c_p1, s7, c_write_h_invalid)),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[24079, 24073, 24012])).
% 50.92/33.57 tff(24081,plain,
% 50.92/33.57 (node34(c_p1, s7, s8)),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[23515, 13188, 24006])).
% 50.92/33.57 tff(24082,plain,
% 50.92/33.57 (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[23524, 416, 6360, 24081])).
% 50.92/33.57 tff(24083,plain,
% 50.92/33.57 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s7, c_write_h_invalid) | (~node3(s7)) | (~m_processor_v_CMD(c_p1, s7, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s7, c_write_h_invalid) | (~node3(s7)) | (~m_processor_v_CMD(c_p1, s7, c_write_h_invalid)))),
% 50.92/33.57 inference(rewrite,[status(thm)],[])).
% 50.92/33.57 tff(24084,plain,
% 50.92/33.57 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s7, c_write_h_invalid) | (~node3(s7)) | (~m_processor_v_CMD(c_p1, s7, c_write_h_invalid)))),
% 50.92/33.57 inference(quant_inst,[status(thm)],[])).
% 50.92/33.57 tff(24085,plain,
% 50.92/33.57 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s7, c_write_h_invalid) | (~node3(s7)) | (~m_processor_v_CMD(c_p1, s7, c_write_h_invalid))),
% 50.92/33.57 inference(modus_ponens,[status(thm)],[24084, 24083])).
% 50.92/33.57 tff(24086,plain,
% 50.92/33.57 (~m_processor_v_CMD(c_p1, s7, c_write_h_invalid)),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[24085, 1260, 13178, 24012])).
% 50.92/33.57 tff(24087,plain,
% 50.92/33.57 (m_processor_v_CMD(c_p1, s7, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid))),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[23533, 438, 24086, 6397, 24081, 13376])).
% 50.92/33.57 tff(24088,plain,
% 50.92/33.57 (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid)),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[24087, 24082])).
% 50.92/33.57 tff(24089,plain,
% 50.92/33.57 (m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s7, c_write_h_shared))),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[23541, 456, 24086, 6360, 24081, 13376])).
% 50.92/33.57 tff(24090,plain,
% 50.92/33.57 (~m_processor_v_CMD(c_p1, s7, c_write_h_shared)),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[24089, 24088, 24082])).
% 50.92/33.57 tff(24091,plain,
% 50.92/33.57 (m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_CMD(c_p1, s7, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared))),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[23557, 492, 24086, 6360, 24081, 13376])).
% 50.92/33.57 tff(24092,plain,
% 50.92/33.57 (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared)),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[24091, 24090, 24082, 24088])).
% 50.92/33.57 tff(24093,assumption,(~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.92/33.57 tff(24094,assumption,(m_main_v_CMD(s7, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.92/33.57 tff(24095,plain,
% 50.92/33.57 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared)) | (~node3(s7)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared)) | (~node3(s7)))),
% 50.92/33.57 inference(rewrite,[status(thm)],[])).
% 50.92/33.57 tff(24096,plain,
% 50.92/33.57 (((~m_main_v_CMD(s7, c_write_h_resp_h_shared)) | (~node3(s7)) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared)) | (~node3(s7)))),
% 50.92/33.57 inference(rewrite,[status(thm)],[])).
% 50.92/33.57 tff(24097,plain,
% 50.92/33.57 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s7, c_write_h_resp_h_shared)) | (~node3(s7)) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared)) | (~node3(s7))))),
% 50.92/33.57 inference(monotonicity,[status(thm)],[24096])).
% 50.92/33.57 tff(24098,plain,
% 50.92/33.57 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s7, c_write_h_resp_h_shared)) | (~node3(s7)) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared)) | (~node3(s7)))),
% 50.92/33.57 inference(transitivity,[status(thm)],[24097, 24095])).
% 50.92/33.57 tff(24099,plain,
% 50.92/33.57 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s7, c_write_h_resp_h_shared)) | (~node3(s7)) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared))),
% 50.92/33.57 inference(quant_inst,[status(thm)],[])).
% 50.92/33.57 tff(24100,plain,
% 50.92/33.57 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared)) | (~node3(s7))),
% 50.92/33.57 inference(modus_ponens,[status(thm)],[24099, 24098])).
% 50.92/33.57 tff(24101,plain,
% 50.92/33.57 ($false),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[24100, 1945, 13178, 24094, 24093])).
% 50.92/33.57 tff(24102,plain,(m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.57 tff(24103,plain,
% 50.92/33.57 (~m_main_v_CMD(s7, c_write_h_resp_h_shared)),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[24102, 24092])).
% 50.92/33.57 tff(24104,assumption,(m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.92/33.57 tff(24105,plain,
% 50.92/33.57 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s7, c_write_h_resp_h_shared) | (~node10(s7)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | m_main_v_CMD(s7, c_write_h_resp_h_shared) | (~node10(s7)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared)))),
% 50.92/33.57 inference(rewrite,[status(thm)],[])).
% 50.92/33.57 tff(24106,plain,
% 50.92/33.57 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s7, c_write_h_resp_h_shared) | (~node10(s7)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared)))),
% 50.92/33.57 inference(quant_inst,[status(thm)],[])).
% 50.92/33.57 tff(24107,plain,
% 50.92/33.57 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | m_main_v_CMD(s7, c_write_h_resp_h_shared) | (~node10(s7)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared))),
% 50.92/33.57 inference(modus_ponens,[status(thm)],[24106, 24105])).
% 50.92/33.57 tff(24108,plain,
% 50.92/33.57 ($false),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[24107, 3481, 24104, 13259, 23833])).
% 50.92/33.57 tff(24109,plain,((~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared)) | (~node10(s7)) | m_main_v_CMD(s7, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.57 tff(24110,plain,
% 50.92/33.57 (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared)),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[24109, 24073, 24103])).
% 50.92/33.57 tff(24111,assumption,(~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared)), introduced(assumption)).
% 50.92/33.57 tff(24112,plain,
% 50.92/33.57 ((~m_processor_v_master(c_p1, s7)) | node63(c_p1, s7) | node62(c_p1, s7) | node64(c_p1, s7) | m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s7, c_shared))),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[24045, 7256, 13435])).
% 50.92/33.57 tff(24113,plain,
% 50.92/33.57 (~m_processor_v_snoop(c_p1, s7, c_shared)),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[24112, 14584, 24015, 24013, 13188, 24111])).
% 50.92/33.57 tff(24114,plain,
% 50.92/33.57 (~node65(c_p1, s7)),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[24066, 4107, 24113])).
% 50.92/33.57 tff(24115,plain,
% 50.92/33.57 (node64(c_p1, s7) | node65(c_p1, s7) | m_processor_v_cmd(c_p1, s7, c_idle) | node66(c_p1, s7)),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[14608, 1508, 24015, 24013])).
% 50.92/33.57 tff(24116,plain,
% 50.92/33.57 (node66(c_p1, s7)),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[24115, 24114, 14583, 14584])).
% 50.92/33.57 tff(24117,assumption,(~m_processor_v_cmd(c_p1, s7, c_write_h_invalid)), introduced(assumption)).
% 50.92/33.57 tff(24118,plain,
% 50.92/33.57 (m_processor_v_cmd(c_p1, s7, c_write_h_invalid) | (~m_processor_v_master(c_p1, s7)) | (~m_processor_v_snoop(c_p1, s7, c_invalid)) | node63(c_p1, s7) | node62(c_p1, s7) | node64(c_p1, s7) | node65(c_p1, s7)),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[24061, 7232, 13435])).
% 50.92/33.57 tff(24119,plain,
% 50.92/33.57 (~m_processor_v_snoop(c_p1, s7, c_invalid)),
% 50.92/33.57 inference(unit_resolution,[status(thm)],[24118, 24114, 13188, 24015, 24013, 24117, 14584])).
% 50.92/33.58 tff(24120,plain,
% 50.92/33.58 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | (m_processor_v_snoop(c_p1, s7, c_invalid) | (~node66(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | m_processor_v_snoop(c_p1, s7, c_invalid) | (~node66(c_p1, s7)))),
% 50.92/33.58 inference(rewrite,[status(thm)],[])).
% 50.92/33.58 tff(24121,plain,
% 50.92/33.58 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | (m_processor_v_snoop(c_p1, s7, c_invalid) | (~node66(c_p1, s7)))),
% 50.92/33.58 inference(quant_inst,[status(thm)],[])).
% 50.92/33.58 tff(24122,plain,
% 50.92/33.58 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | m_processor_v_snoop(c_p1, s7, c_invalid) | (~node66(c_p1, s7))),
% 50.92/33.58 inference(modus_ponens,[status(thm)],[24121, 24120])).
% 50.92/33.58 tff(24123,plain,
% 50.92/33.58 ($false),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24122, 9118, 24119, 24116])).
% 50.92/33.58 tff(24124,plain,(node64(c_p1, s7) | (~m_processor_v_master(c_p1, s7)) | m_processor_v_cmd(c_p1, s7, c_write_h_invalid) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_cmd(c_p1, s7, c_idle) | m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.58 tff(24125,plain,
% 50.92/33.58 (node64(c_p1, s7)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24124, 24110, 13435, 24069, 24080, 13188])).
% 50.92/33.58 tff(24126,plain,
% 50.92/33.58 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | (~node3(s7)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | (~node3(s7)))),
% 50.92/33.58 inference(rewrite,[status(thm)],[])).
% 50.92/33.58 tff(24127,plain,
% 50.92/33.58 (((~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | (~node3(s7)) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid)) <=> (m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | (~node3(s7)))),
% 50.92/33.58 inference(rewrite,[status(thm)],[])).
% 50.92/33.58 tff(24128,plain,
% 50.92/33.58 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | (~node3(s7)) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | (~node3(s7))))),
% 50.92/33.58 inference(monotonicity,[status(thm)],[24127])).
% 50.92/33.58 tff(24129,plain,
% 50.92/33.58 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | (~node3(s7)) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | (~node3(s7)))),
% 50.92/33.58 inference(transitivity,[status(thm)],[24128, 24126])).
% 50.92/33.58 tff(24130,plain,
% 50.92/33.58 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | (~node3(s7)) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid))),
% 50.92/33.58 inference(quant_inst,[status(thm)],[])).
% 50.92/33.58 tff(24131,plain,
% 50.92/33.58 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | (~node3(s7))),
% 50.92/33.58 inference(modus_ponens,[status(thm)],[24130, 24129])).
% 50.92/33.58 tff(24132,plain,
% 50.92/33.58 (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24131, 1945, 13178, 24088])).
% 50.92/33.58 tff(24133,assumption,(m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid)), introduced(assumption)).
% 50.92/33.58 tff(24134,plain,
% 50.92/33.58 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s7, c_write_h_resp_h_invalid) | (~node10(s7)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | m_main_v_CMD(s7, c_write_h_resp_h_invalid) | (~node10(s7)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid)))),
% 50.92/33.58 inference(rewrite,[status(thm)],[])).
% 50.92/33.58 tff(24135,plain,
% 50.92/33.58 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | (m_main_v_CMD(s7, c_write_h_resp_h_invalid) | (~node10(s7)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid)))),
% 50.92/33.58 inference(quant_inst,[status(thm)],[])).
% 50.92/33.58 tff(24136,plain,
% 50.92/33.58 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node10(X)) | (~m_processor_v_cmd(c_p1, X, V)))) | m_main_v_CMD(s7, c_write_h_resp_h_invalid) | (~node10(s7)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid))),
% 50.92/33.58 inference(modus_ponens,[status(thm)],[24135, 24134])).
% 50.92/33.58 tff(24137,plain,
% 50.92/33.58 ($false),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24136, 3481, 13259, 23747, 24133])).
% 50.92/33.58 tff(24138,plain,((~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid)) | (~node10(s7)) | m_main_v_CMD(s7, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.58 tff(24139,plain,
% 50.92/33.58 (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24138, 24073, 24132])).
% 50.92/33.58 tff(24140,plain,
% 50.92/33.58 ((~m_processor_v_master(c_p1, s7)) | node62(c_p1, s7) | (~m_processor_v_snoop(c_p1, s7, c_owned)) | m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24025, 7172, 13435, 24011])).
% 50.92/33.58 tff(24141,plain,
% 50.92/33.58 (~m_processor_v_snoop(c_p1, s7, c_owned)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24140, 24139, 13188, 24013])).
% 50.92/33.58 tff(24142,plain,
% 50.92/33.58 ($false),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24030, 4082, 24141, 24125])).
% 50.92/33.58 tff(24143,plain,((~m_processor_v_master(c_p1, s7)) | (~m_processor_v_state(c_p1, s7, c_owned)) | node63(c_p1, s7) | m_main_v_CMD(s7, c_write_h_invalid) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | m_processor_v_state(c_p1, s8, c_shared) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_state(c_p1, s8, c_invalid) | m_processor_v_abort(c_p1, s7)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.58 tff(24144,plain,
% 50.92/33.58 (m_main_v_CMD(s7, c_write_h_invalid)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24143, 24006, 13435, 24011, 13266, 6360, 13188, 6397, 13376])).
% 50.92/33.58 tff(24145,assumption,(m_main_v_CMD(s7, c_write_h_invalid)), introduced(assumption)).
% 50.92/33.58 tff(24146,plain,
% 50.92/33.58 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | (~m_main_v_CMD(s7, c_write_h_invalid)) | (~node3(s7)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | (~m_main_v_CMD(s7, c_write_h_invalid)) | (~node3(s7)))),
% 50.92/33.58 inference(rewrite,[status(thm)],[])).
% 50.92/33.58 tff(24147,plain,
% 50.92/33.58 (((~m_main_v_CMD(s7, c_write_h_invalid)) | (~node3(s7)) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid)) <=> (m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | (~m_main_v_CMD(s7, c_write_h_invalid)) | (~node3(s7)))),
% 50.92/33.58 inference(rewrite,[status(thm)],[])).
% 50.92/33.58 tff(24148,plain,
% 50.92/33.58 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s7, c_write_h_invalid)) | (~node3(s7)) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | (~m_main_v_CMD(s7, c_write_h_invalid)) | (~node3(s7))))),
% 50.92/33.58 inference(monotonicity,[status(thm)],[24147])).
% 50.92/33.58 tff(24149,plain,
% 50.92/33.58 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s7, c_write_h_invalid)) | (~node3(s7)) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | (~m_main_v_CMD(s7, c_write_h_invalid)) | (~node3(s7)))),
% 50.92/33.58 inference(transitivity,[status(thm)],[24148, 24146])).
% 50.92/33.58 tff(24150,plain,
% 50.92/33.58 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s7, c_write_h_invalid)) | (~node3(s7)) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid))),
% 50.92/33.58 inference(quant_inst,[status(thm)],[])).
% 50.92/33.58 tff(24151,plain,
% 50.92/33.58 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid) | (~m_main_v_CMD(s7, c_write_h_invalid)) | (~node3(s7))),
% 50.92/33.58 inference(modus_ponens,[status(thm)],[24150, 24149])).
% 50.92/33.58 tff(24152,plain,
% 50.92/33.58 ($false),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24151, 1945, 13178, 23527, 24145])).
% 50.92/33.58 tff(24153,plain,((~m_main_v_CMD(s7, c_write_h_invalid)) | m_processor_v_CMD(c_p1, s7, c_write_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.58 tff(24154,plain,
% 50.92/33.58 (m_processor_v_CMD(c_p1, s7, c_write_h_invalid)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24153, 24144])).
% 50.92/33.58 tff(24155,plain,
% 50.92/33.58 ($false),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[23567, 512, 24154, 6397, 24007, 13376, 24010])).
% 50.92/33.58 tff(24156,plain,(m_processor_v_abort(c_p1, s7) | m_processor_v_state(c_p1, s8, c_invalid) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_state(c_p1, s8, c_shared) | (~m_processor_v_master(c_p1, s7)) | (~m_processor_v_state(c_p1, s7, c_owned)) | node63(c_p1, s7) | (~m_processor_v_cmd(c_p0, s7, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.58 tff(24157,plain,
% 50.92/33.58 ($false),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24156, 24005, 13376, 6397, 6360, 13435, 13266, 23941, 13188])).
% 50.92/33.58 tff(24158,plain,(m_processor_v_CMD(c_p1, s7, c_read_h_owned) | m_processor_v_state(c_p1, s8, c_invalid) | m_processor_v_state(c_p1, s8, c_shared) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_master(c_p1, s7)) | (~node60(c_p0, s7))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.58 tff(24159,plain,
% 50.92/33.58 (m_processor_v_CMD(c_p1, s7, c_read_h_owned)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24158, 23937, 23605, 23604, 23603, 23598, 23588])).
% 50.92/33.58 tff(24160,plain,
% 50.92/33.58 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s7, c_invalid)) | m_processor_v_state(c_p1, s8, c_invalid) | (~node32(c_p1, s7, s8)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s7, c_invalid)) | m_processor_v_state(c_p1, s8, c_invalid) | (~node32(c_p1, s7, s8)))),
% 50.92/33.58 inference(rewrite,[status(thm)],[])).
% 50.92/33.58 tff(24161,plain,
% 50.92/33.58 (((~node32(c_p1, s7, s8)) | (~m_processor_v_state(c_p1, s7, c_invalid)) | m_processor_v_state(c_p1, s8, c_invalid)) <=> ((~m_processor_v_state(c_p1, s7, c_invalid)) | m_processor_v_state(c_p1, s8, c_invalid) | (~node32(c_p1, s7, s8)))),
% 50.92/33.58 inference(rewrite,[status(thm)],[])).
% 50.92/33.58 tff(24162,plain,
% 50.92/33.58 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s7, s8)) | (~m_processor_v_state(c_p1, s7, c_invalid)) | m_processor_v_state(c_p1, s8, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s7, c_invalid)) | m_processor_v_state(c_p1, s8, c_invalid) | (~node32(c_p1, s7, s8))))),
% 50.92/33.58 inference(monotonicity,[status(thm)],[24161])).
% 50.92/33.58 tff(24163,plain,
% 50.92/33.58 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s7, s8)) | (~m_processor_v_state(c_p1, s7, c_invalid)) | m_processor_v_state(c_p1, s8, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s7, c_invalid)) | m_processor_v_state(c_p1, s8, c_invalid) | (~node32(c_p1, s7, s8)))),
% 50.92/33.58 inference(transitivity,[status(thm)],[24162, 24160])).
% 50.92/33.58 tff(24164,plain,
% 50.92/33.58 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s7, s8)) | (~m_processor_v_state(c_p1, s7, c_invalid)) | m_processor_v_state(c_p1, s8, c_invalid))),
% 50.92/33.58 inference(quant_inst,[status(thm)],[])).
% 50.92/33.58 tff(24165,plain,
% 50.92/33.58 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s7, c_invalid)) | m_processor_v_state(c_p1, s8, c_invalid) | (~node32(c_p1, s7, s8))),
% 50.92/33.58 inference(modus_ponens,[status(thm)],[24164, 24163])).
% 50.92/33.58 tff(24166,plain,
% 50.92/33.58 ($false),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24165, 380, 6397, 13023, 13058])).
% 50.92/33.58 tff(24167,plain,((~node32(c_p1, s7, s8)) | m_processor_v_state(c_p1, s8, c_invalid) | (~m_processor_v_state(c_p1, s7, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.58 tff(24168,plain,
% 50.92/33.58 (~node32(c_p1, s7, s8)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24167, 23422, 23605])).
% 50.92/33.58 tff(24169,plain,
% 50.92/33.58 (~m_processor_v_abort(c_p1, s7)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[13049, 24168])).
% 50.92/33.58 tff(24170,assumption,(~node60(c_p1, s7)), introduced(assumption)).
% 50.92/33.58 tff(24171,plain,
% 50.92/33.58 (((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p1, s7) | node60(c_p1, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p1, s7) | node60(c_p1, s7))),
% 50.92/33.58 inference(rewrite,[status(thm)],[])).
% 50.92/33.58 tff(24172,plain,
% 50.92/33.58 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p1, s7) | node60(c_p1, s7))),
% 50.92/33.58 inference(quant_inst,[status(thm)],[])).
% 50.92/33.58 tff(24173,plain,
% 50.92/33.58 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p1, s7) | node60(c_p1, s7)),
% 50.92/33.58 inference(modus_ponens,[status(thm)],[24172, 24171])).
% 50.92/33.58 tff(24174,plain,
% 50.92/33.58 ($false),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24173, 693, 24006, 24170])).
% 50.92/33.58 tff(24175,plain,(m_processor_v_abort(c_p1, s7) | node60(c_p1, s7)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.58 tff(24176,plain,
% 50.92/33.58 (node60(c_p1, s7)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24175, 24169])).
% 50.92/33.58 tff(24177,plain,
% 50.92/33.58 ((~m_processor_v_waiting(c_p0, s7)) | m_processor_v_reply_h_waiting(c_p0, s7)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[23465, 2296, 55])).
% 50.92/33.58 tff(24178,plain,
% 50.92/33.58 (m_processor_v_reply_h_waiting(c_p0, s7)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24177, 23600])).
% 50.92/33.58 tff(24179,plain,
% 50.92/33.58 (~node6(s7)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[23473, 24178])).
% 50.92/33.58 tff(24180,plain,
% 50.92/33.58 (m_main_v_REPLY_h_WAITING(s7)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[23481, 24179])).
% 50.92/33.58 tff(24181,plain,
% 50.92/33.58 (((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | ((~m_main_v_REPLY_h_WAITING(s7)) | m_processor_v_REPLY_h_WAITING(c_p1, s7))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | (~m_main_v_REPLY_h_WAITING(s7)) | m_processor_v_REPLY_h_WAITING(c_p1, s7))),
% 50.92/33.58 inference(rewrite,[status(thm)],[])).
% 50.92/33.58 tff(24182,plain,
% 50.92/33.58 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | ((~m_main_v_REPLY_h_WAITING(s7)) | m_processor_v_REPLY_h_WAITING(c_p1, s7))),
% 50.92/33.58 inference(quant_inst,[status(thm)],[])).
% 50.92/33.58 tff(24183,plain,
% 50.92/33.58 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p1, X))) | (~m_main_v_REPLY_h_WAITING(s7)) | m_processor_v_REPLY_h_WAITING(c_p1, s7)),
% 50.92/33.58 inference(modus_ponens,[status(thm)],[24182, 24181])).
% 50.92/33.58 tff(24184,plain,
% 50.92/33.58 ($false),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24183, 745, 23484, 23977])).
% 50.92/33.58 tff(24185,plain,((~m_main_v_REPLY_h_WAITING(s7)) | m_processor_v_REPLY_h_WAITING(c_p1, s7)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.58 tff(24186,plain,
% 50.92/33.58 (m_processor_v_REPLY_h_WAITING(c_p1, s7)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24185, 24180])).
% 50.92/33.58 tff(24187,assumption,(~node59(c_p1, s7)), introduced(assumption)).
% 50.92/33.58 tff(24188,assumption,(node60(c_p1, s7)), introduced(assumption)).
% 50.92/33.58 tff(24189,plain,
% 50.92/33.58 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p1, s7)) | node59(c_p1, s7) | (~node60(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s7)) | node59(c_p1, s7) | (~node60(c_p1, s7)))),
% 50.92/33.58 inference(rewrite,[status(thm)],[])).
% 50.92/33.58 tff(24190,plain,
% 50.92/33.58 ((node59(c_p1, s7) | (~node60(c_p1, s7)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s7))) <=> ((~m_processor_v_REPLY_h_WAITING(c_p1, s7)) | node59(c_p1, s7) | (~node60(c_p1, s7)))),
% 50.92/33.58 inference(rewrite,[status(thm)],[])).
% 50.92/33.58 tff(24191,plain,
% 50.92/33.58 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s7) | (~node60(c_p1, s7)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p1, s7)) | node59(c_p1, s7) | (~node60(c_p1, s7))))),
% 50.92/33.58 inference(monotonicity,[status(thm)],[24190])).
% 50.92/33.58 tff(24192,plain,
% 50.92/33.58 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s7) | (~node60(c_p1, s7)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s7)) | node59(c_p1, s7) | (~node60(c_p1, s7)))),
% 50.92/33.58 inference(transitivity,[status(thm)],[24191, 24189])).
% 50.92/33.58 tff(24193,plain,
% 50.92/33.58 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p1, s7) | (~node60(c_p1, s7)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s7)))),
% 50.92/33.58 inference(quant_inst,[status(thm)],[])).
% 50.92/33.58 tff(24194,plain,
% 50.92/33.58 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p1, s7)) | node59(c_p1, s7) | (~node60(c_p1, s7))),
% 50.92/33.58 inference(modus_ponens,[status(thm)],[24193, 24192])).
% 50.92/33.58 tff(24195,plain,
% 50.92/33.58 ($false),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24194, 724, 24188, 23969, 24187])).
% 50.92/33.58 tff(24196,plain,(node59(c_p1, s7) | (~node60(c_p1, s7)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s7))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.58 tff(24197,plain,
% 50.92/33.58 (node59(c_p1, s7)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24196, 24186, 24176])).
% 50.92/33.58 tff(24198,assumption,(node59(c_p1, s7)), introduced(assumption)).
% 50.92/33.58 tff(24199,plain,
% 50.92/33.58 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s7, c_read_h_owned)) | (~node59(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)) | (~node59(c_p1, s7)))),
% 50.92/33.58 inference(rewrite,[status(thm)],[])).
% 50.92/33.58 tff(24200,plain,
% 50.92/33.58 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s7, c_read_h_owned)) | (~node59(c_p1, s7)))),
% 50.92/33.58 inference(quant_inst,[status(thm)],[])).
% 50.92/33.58 tff(24201,plain,
% 50.92/33.58 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)) | (~node59(c_p1, s7))),
% 50.92/33.58 inference(modus_ponens,[status(thm)],[24200, 24199])).
% 50.92/33.58 tff(24202,plain,
% 50.92/33.58 ($false),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24201, 707, 23572, 24198])).
% 50.92/33.58 tff(24203,plain,((~node59(c_p1, s7)) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.58 tff(24204,plain,
% 50.92/33.58 ($false),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24203, 24197, 24159])).
% 50.92/33.58 tff(24205,plain,(m_processor_v_state(c_p1, s5, c_owned) | (~m_memory_v_cmd(c_m, s7, c_idle)) | m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_master(c_p0, s7) | node67(s9)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.58 tff(24206,plain,
% 50.92/33.58 (m_processor_v_state(c_p1, s5, c_owned)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24205, 13267, 5, 55, 5949])).
% 50.92/33.58 tff(24207,plain,
% 50.92/33.58 (node67(s8)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[23325, 24206, 5949, 5])).
% 50.92/33.58 tff(24208,plain,
% 50.92/33.58 (m_processor_v_writable(c_p0, s8)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[12500, 24207])).
% 50.92/33.58 tff(24209,plain,
% 50.92/33.58 (node56(c_p0, s8)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[12508, 24208])).
% 50.92/33.58 tff(24210,plain,
% 50.92/33.58 (m_processor_v_state(c_p0, s7, c_owned)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[14719, 24209])).
% 50.92/33.58 tff(24211,plain,
% 50.92/33.58 (m_processor_v_master(c_p0, s6)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[2437, 24210, 5])).
% 50.92/33.58 tff(24212,plain,
% 50.92/33.58 (~m_processor_v_master(c_p1, s6)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[16318, 24211])).
% 50.92/33.58 tff(24213,plain,
% 50.92/33.58 (~m_processor_v_REPLY_h_STALL(c_p0, s6)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[16273, 17868])).
% 50.92/33.58 tff(24214,plain,
% 50.92/33.58 (~m_main_v_REPLY_h_STALL(s6)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[16281, 24213])).
% 50.92/33.58 tff(24215,assumption,(~node7(s6)), introduced(assumption)).
% 50.92/33.58 tff(24216,plain,
% 50.92/33.58 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | (m_main_v_REPLY_h_STALL(s6) | node7(s6))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | m_main_v_REPLY_h_STALL(s6) | node7(s6))),
% 50.92/33.58 inference(rewrite,[status(thm)],[])).
% 50.92/33.58 tff(24217,plain,
% 50.92/33.58 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | (m_main_v_REPLY_h_STALL(s6) | node7(s6))),
% 50.92/33.58 inference(quant_inst,[status(thm)],[])).
% 50.92/33.58 tff(24218,plain,
% 50.92/33.58 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | m_main_v_REPLY_h_STALL(s6) | node7(s6)),
% 50.92/33.58 inference(modus_ponens,[status(thm)],[24217, 24216])).
% 50.92/33.58 tff(24219,plain,
% 50.92/33.58 ($false),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24218, 3905, 16284, 24215])).
% 50.92/33.58 tff(24220,plain,(node7(s6) | m_main_v_REPLY_h_STALL(s6)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.58 tff(24221,plain,
% 50.92/33.58 (node7(s6)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24220, 24214])).
% 50.92/33.58 tff(24222,assumption,(m_memory_v_reply_h_stall(c_m, s6)), introduced(assumption)).
% 50.92/33.58 tff(24223,assumption,(node7(s6)), introduced(assumption)).
% 50.92/33.58 tff(24224,plain,
% 50.92/33.58 (((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | ((~node7(s6)) | (~m_memory_v_reply_h_stall(c_m, s6)))) <=> ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | (~node7(s6)) | (~m_memory_v_reply_h_stall(c_m, s6)))),
% 50.92/33.58 inference(rewrite,[status(thm)],[])).
% 50.92/33.58 tff(24225,plain,
% 50.92/33.58 ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | ((~node7(s6)) | (~m_memory_v_reply_h_stall(c_m, s6)))),
% 50.92/33.58 inference(quant_inst,[status(thm)],[])).
% 50.92/33.58 tff(24226,plain,
% 50.92/33.58 ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | (~node7(s6)) | (~m_memory_v_reply_h_stall(c_m, s6))),
% 50.92/33.58 inference(modus_ponens,[status(thm)],[24225, 24224])).
% 50.92/33.58 tff(24227,plain,
% 50.92/33.58 ($false),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24226, 3923, 24223, 24222])).
% 50.92/33.58 tff(24228,plain,((~m_memory_v_reply_h_stall(c_m, s6)) | (~node7(s6))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.58 tff(24229,plain,
% 50.92/33.58 (~m_memory_v_reply_h_stall(c_m, s6)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24228, 24221])).
% 50.92/33.58 tff(24230,plain,
% 50.92/33.58 (m_processor_v_state(c_p1, s6, c_owned)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[13463, 17857, 13405, 17855])).
% 50.92/33.58 tff(24231,assumption,(~m_processor_v_reply_h_owned(c_p1, s6)), introduced(assumption)).
% 50.92/33.58 tff(24232,plain,
% 50.92/33.58 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_master(c_p1, s6) | m_processor_v_reply_h_owned(c_p1, s6))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_master(c_p1, s6) | m_processor_v_reply_h_owned(c_p1, s6))),
% 50.92/33.58 inference(rewrite,[status(thm)],[])).
% 50.92/33.58 tff(24233,plain,
% 50.92/33.58 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_master(c_p1, s6) | m_processor_v_reply_h_owned(c_p1, s6))),
% 50.92/33.58 inference(quant_inst,[status(thm)],[])).
% 50.92/33.58 tff(24234,plain,
% 50.92/33.58 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_master(c_p1, s6) | m_processor_v_reply_h_owned(c_p1, s6)),
% 50.92/33.58 inference(modus_ponens,[status(thm)],[24233, 24232])).
% 50.92/33.58 tff(24235,plain,
% 50.92/33.58 ($false),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24234, 10170, 113, 13405, 24231])).
% 50.92/33.58 tff(24236,plain,(m_processor_v_reply_h_owned(c_p1, s6) | (~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_master(c_p1, s6)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.58 tff(24237,plain,
% 50.92/33.58 (m_processor_v_reply_h_owned(c_p1, s6)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24236, 24230, 13405])).
% 50.92/33.58 tff(24238,assumption,(node5(s6)), introduced(assumption)).
% 50.92/33.58 tff(24239,assumption,(m_processor_v_reply_h_owned(c_p1, s6)), introduced(assumption)).
% 50.92/33.58 tff(24240,plain,
% 50.92/33.58 (((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))) | ((~node5(s6)) | (~m_processor_v_reply_h_owned(c_p1, s6)))) <=> ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))) | (~node5(s6)) | (~m_processor_v_reply_h_owned(c_p1, s6)))),
% 50.92/33.58 inference(rewrite,[status(thm)],[])).
% 50.92/33.58 tff(24241,plain,
% 50.92/33.58 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))) | ((~node5(s6)) | (~m_processor_v_reply_h_owned(c_p1, s6)))),
% 50.92/33.58 inference(quant_inst,[status(thm)],[])).
% 50.92/33.58 tff(24242,plain,
% 50.92/33.58 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))) | (~node5(s6)) | (~m_processor_v_reply_h_owned(c_p1, s6))),
% 50.92/33.58 inference(modus_ponens,[status(thm)],[24241, 24240])).
% 50.92/33.58 tff(24243,plain,
% 50.92/33.58 ($false),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24242, 10333, 24239, 24238])).
% 50.92/33.58 tff(24244,plain,((~m_processor_v_reply_h_owned(c_p1, s6)) | (~node5(s6))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.58 tff(24245,plain,
% 50.92/33.58 (~node5(s6)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24244, 24237])).
% 50.92/33.58 tff(24246,assumption,(~node5(s6)), introduced(assumption)).
% 50.92/33.58 tff(24247,assumption,(~m_main_v_REPLY_h_OWNED(s6)), introduced(assumption)).
% 50.92/33.58 tff(24248,plain,
% 50.92/33.58 (((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | (m_main_v_REPLY_h_OWNED(s6) | node5(s6))) <=> ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | m_main_v_REPLY_h_OWNED(s6) | node5(s6))),
% 50.92/33.58 inference(rewrite,[status(thm)],[])).
% 50.92/33.58 tff(24249,plain,
% 50.92/33.58 ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | (m_main_v_REPLY_h_OWNED(s6) | node5(s6))),
% 50.92/33.58 inference(quant_inst,[status(thm)],[])).
% 50.92/33.58 tff(24250,plain,
% 50.92/33.58 ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | m_main_v_REPLY_h_OWNED(s6) | node5(s6)),
% 50.92/33.58 inference(modus_ponens,[status(thm)],[24249, 24248])).
% 50.92/33.58 tff(24251,plain,
% 50.92/33.58 ($false),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24250, 10196, 24247, 24246])).
% 50.92/33.58 tff(24252,plain,(m_main_v_REPLY_h_OWNED(s6) | node5(s6)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.58 tff(24253,plain,
% 50.92/33.58 (m_main_v_REPLY_h_OWNED(s6)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24252, 24245])).
% 50.92/33.58 tff(24254,assumption,(~m_memory_v_REPLY_h_OWNED(c_m, s6)), introduced(assumption)).
% 50.92/33.58 tff(24255,assumption,(m_main_v_REPLY_h_OWNED(s6)), introduced(assumption)).
% 50.92/33.58 tff(24256,plain,
% 50.92/33.58 (((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | ((~m_main_v_REPLY_h_OWNED(s6)) | m_memory_v_REPLY_h_OWNED(c_m, s6))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | (~m_main_v_REPLY_h_OWNED(s6)) | m_memory_v_REPLY_h_OWNED(c_m, s6))),
% 50.92/33.58 inference(rewrite,[status(thm)],[])).
% 50.92/33.58 tff(24257,plain,
% 50.92/33.58 ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | ((~m_main_v_REPLY_h_OWNED(s6)) | m_memory_v_REPLY_h_OWNED(c_m, s6))),
% 50.92/33.58 inference(quant_inst,[status(thm)],[])).
% 50.92/33.58 tff(24258,plain,
% 50.92/33.58 ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | (~m_main_v_REPLY_h_OWNED(s6)) | m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 50.92/33.58 inference(modus_ponens,[status(thm)],[24257, 24256])).
% 50.92/33.58 tff(24259,plain,
% 50.92/33.58 ($false),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24258, 10210, 24255, 24254])).
% 50.92/33.58 tff(24260,plain,(m_memory_v_REPLY_h_OWNED(c_m, s6) | (~m_main_v_REPLY_h_OWNED(s6))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.58 tff(24261,plain,
% 50.92/33.58 (m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24260, 24253])).
% 50.92/33.58 tff(24262,plain,
% 50.92/33.58 (m_main_v_CMD(s6, c_read_h_owned)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[16359, 17863, 5, 14157])).
% 50.92/33.58 tff(24263,assumption,(~m_memory_v_CMD(c_m, s6, c_read_h_owned)), introduced(assumption)).
% 50.92/33.58 tff(24264,assumption,(~node1(s6)), introduced(assumption)).
% 50.92/33.58 tff(24265,plain,
% 50.92/33.58 ((~![X: $i] : node1(X)) | node1(s6)),
% 50.92/33.58 inference(quant_inst,[status(thm)],[])).
% 50.92/33.58 tff(24266,plain,
% 50.92/33.58 ($false),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24265, 4194, 24264])).
% 50.92/33.58 tff(24267,plain,(node1(s6)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.58 tff(24268,plain,
% 50.92/33.58 (((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s6)) | (~m_main_v_CMD(s6, c_read_h_owned)) | m_memory_v_CMD(c_m, s6, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s6)) | (~m_main_v_CMD(s6, c_read_h_owned)) | m_memory_v_CMD(c_m, s6, c_read_h_owned))),
% 50.92/33.58 inference(rewrite,[status(thm)],[])).
% 50.92/33.58 tff(24269,plain,
% 50.92/33.58 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s6)) | (~m_main_v_CMD(s6, c_read_h_owned)) | m_memory_v_CMD(c_m, s6, c_read_h_owned))),
% 50.92/33.58 inference(quant_inst,[status(thm)],[])).
% 50.92/33.58 tff(24270,plain,
% 50.92/33.58 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s6)) | (~m_main_v_CMD(s6, c_read_h_owned)) | m_memory_v_CMD(c_m, s6, c_read_h_owned)),
% 50.92/33.58 inference(modus_ponens,[status(thm)],[24269, 24268])).
% 50.92/33.58 tff(24271,plain,
% 50.92/33.58 ($false),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24270, 4207, 24267, 14386, 24263])).
% 50.92/33.58 tff(24272,plain,(m_memory_v_CMD(c_m, s6, c_read_h_owned) | (~m_main_v_CMD(s6, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.58 tff(24273,plain,
% 50.92/33.58 (m_memory_v_CMD(c_m, s6, c_read_h_owned)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24272, 24262])).
% 50.92/33.58 tff(24274,assumption,(node25(c_m, s6)), introduced(assumption)).
% 50.92/33.58 tff(24275,assumption,(m_memory_v_CMD(c_m, s6, c_read_h_owned)), introduced(assumption)).
% 50.92/33.58 tff(24276,plain,
% 50.92/33.58 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | ((~m_memory_v_CMD(c_m, s6, c_read_h_owned)) | (~node25(c_m, s6)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | (~m_memory_v_CMD(c_m, s6, c_read_h_owned)) | (~node25(c_m, s6)))),
% 50.92/33.58 inference(rewrite,[status(thm)],[])).
% 50.92/33.58 tff(24277,plain,
% 50.92/33.58 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | ((~m_memory_v_CMD(c_m, s6, c_read_h_owned)) | (~node25(c_m, s6)))),
% 50.92/33.58 inference(quant_inst,[status(thm)],[])).
% 50.92/33.58 tff(24278,plain,
% 50.92/33.58 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | (~m_memory_v_CMD(c_m, s6, c_read_h_owned)) | (~node25(c_m, s6))),
% 50.92/33.58 inference(modus_ponens,[status(thm)],[24277, 24276])).
% 50.92/33.58 tff(24279,plain,
% 50.92/33.58 ($false),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24278, 9959, 24275, 24274])).
% 50.92/33.58 tff(24280,plain,((~node25(c_m, s6)) | (~m_memory_v_CMD(c_m, s6, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.58 tff(24281,plain,
% 50.92/33.58 (~node25(c_m, s6)),
% 50.92/33.58 inference(unit_resolution,[status(thm)],[24280, 24273])).
% 50.92/33.58 tff(24282,assumption,(~node25(c_m, s6)), introduced(assumption)).
% 50.92/33.58 tff(24283,assumption,(m_memory_v_REPLY_h_OWNED(c_m, s6)), introduced(assumption)).
% 50.92/33.58 tff(24284,assumption,(node26(c_m, s6)), introduced(assumption)).
% 50.92/33.58 tff(24285,plain,
% 50.92/33.58 (((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | (node25(c_m, s6) | (~node26(c_m, s6)) | (~m_memory_v_REPLY_h_OWNED(c_m, s6)))) <=> ((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | node25(c_m, s6) | (~node26(c_m, s6)) | (~m_memory_v_REPLY_h_OWNED(c_m, s6)))),
% 50.92/33.59 inference(rewrite,[status(thm)],[])).
% 50.92/33.59 tff(24286,plain,
% 50.92/33.59 ((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | (node25(c_m, s6) | (~node26(c_m, s6)) | (~m_memory_v_REPLY_h_OWNED(c_m, s6)))),
% 50.92/33.59 inference(quant_inst,[status(thm)],[])).
% 50.92/33.59 tff(24287,plain,
% 50.92/33.59 ((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | node25(c_m, s6) | (~node26(c_m, s6)) | (~m_memory_v_REPLY_h_OWNED(c_m, s6))),
% 50.92/33.59 inference(modus_ponens,[status(thm)],[24286, 24285])).
% 50.92/33.59 tff(24288,plain,
% 50.92/33.59 ($false),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24287, 10227, 24284, 24283, 24282])).
% 50.92/33.59 tff(24289,plain,(node25(c_m, s6) | (~node26(c_m, s6)) | (~m_memory_v_REPLY_h_OWNED(c_m, s6))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.59 tff(24290,plain,
% 50.92/33.59 (~node26(c_m, s6)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24289, 24281, 24261])).
% 50.92/33.59 tff(24291,assumption,(~m_memory_v_abort(c_m, s6)), introduced(assumption)).
% 50.92/33.59 tff(24292,assumption,(~node26(c_m, s6)), introduced(assumption)).
% 50.92/33.59 tff(24293,plain,
% 50.92/33.59 (((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | (m_memory_v_abort(c_m, s6) | node26(c_m, s6))) <=> ((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | m_memory_v_abort(c_m, s6) | node26(c_m, s6))),
% 50.92/33.59 inference(rewrite,[status(thm)],[])).
% 50.92/33.59 tff(24294,plain,
% 50.92/33.59 ((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | (m_memory_v_abort(c_m, s6) | node26(c_m, s6))),
% 50.92/33.59 inference(quant_inst,[status(thm)],[])).
% 50.92/33.59 tff(24295,plain,
% 50.92/33.59 ((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | m_memory_v_abort(c_m, s6) | node26(c_m, s6)),
% 50.92/33.59 inference(modus_ponens,[status(thm)],[24294, 24293])).
% 50.92/33.59 tff(24296,plain,
% 50.92/33.59 ($false),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24295, 7810, 24292, 24291])).
% 50.92/33.59 tff(24297,plain,(m_memory_v_abort(c_m, s6) | node26(c_m, s6)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.59 tff(24298,plain,
% 50.92/33.59 (m_memory_v_abort(c_m, s6)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24297, 24290])).
% 50.92/33.59 tff(24299,plain,
% 50.92/33.59 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | ((~trans(s6, s7)) | node23(c_m, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | (~trans(s6, s7)) | node23(c_m, s6, s7))),
% 50.92/33.59 inference(rewrite,[status(thm)],[])).
% 50.92/33.59 tff(24300,plain,
% 50.92/33.59 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | ((~trans(s6, s7)) | node23(c_m, s6, s7))),
% 50.92/33.59 inference(quant_inst,[status(thm)],[])).
% 50.92/33.59 tff(24301,plain,
% 50.92/33.59 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node23(I0, X, Y))) | (~trans(s6, s7)) | node23(c_m, s6, s7)),
% 50.92/33.59 inference(modus_ponens,[status(thm)],[24300, 24299])).
% 50.92/33.59 tff(24302,plain,
% 50.92/33.59 (node23(c_m, s6, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24301, 4490, 2344])).
% 50.92/33.59 tff(24303,plain,
% 50.92/33.59 (((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | ((~node23(c_m, s6, s7)) | node18(c_m, s6, s7) | (~m_memory_v_abort(c_m, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (~node23(c_m, s6, s7)) | node18(c_m, s6, s7) | (~m_memory_v_abort(c_m, s6)))),
% 50.92/33.59 inference(rewrite,[status(thm)],[])).
% 50.92/33.59 tff(24304,plain,
% 50.92/33.59 ((node18(c_m, s6, s7) | (~node23(c_m, s6, s7)) | (~m_memory_v_abort(c_m, s6))) <=> ((~node23(c_m, s6, s7)) | node18(c_m, s6, s7) | (~m_memory_v_abort(c_m, s6)))),
% 50.92/33.59 inference(rewrite,[status(thm)],[])).
% 50.92/33.59 tff(24305,plain,
% 50.92/33.59 (((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (node18(c_m, s6, s7) | (~node23(c_m, s6, s7)) | (~m_memory_v_abort(c_m, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | ((~node23(c_m, s6, s7)) | node18(c_m, s6, s7) | (~m_memory_v_abort(c_m, s6))))),
% 50.92/33.59 inference(monotonicity,[status(thm)],[24304])).
% 50.92/33.59 tff(24306,plain,
% 50.92/33.59 (((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (node18(c_m, s6, s7) | (~node23(c_m, s6, s7)) | (~m_memory_v_abort(c_m, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (~node23(c_m, s6, s7)) | node18(c_m, s6, s7) | (~m_memory_v_abort(c_m, s6)))),
% 50.92/33.59 inference(transitivity,[status(thm)],[24305, 24303])).
% 50.92/33.59 tff(24307,plain,
% 50.92/33.59 ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (node18(c_m, s6, s7) | (~node23(c_m, s6, s7)) | (~m_memory_v_abort(c_m, s6)))),
% 50.92/33.59 inference(quant_inst,[status(thm)],[])).
% 50.92/33.59 tff(24308,plain,
% 50.92/33.59 ((~![Y: $i, I0: $i, X: $i] : (node18(I0, X, Y) | (~node23(I0, X, Y)) | (~m_memory_v_abort(I0, X)))) | (~node23(c_m, s6, s7)) | node18(c_m, s6, s7) | (~m_memory_v_abort(c_m, s6))),
% 50.92/33.59 inference(modus_ponens,[status(thm)],[24307, 24306])).
% 50.92/33.59 tff(24309,plain,
% 50.92/33.59 (node18(c_m, s6, s7) | (~m_memory_v_abort(c_m, s6))),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24308, 7383, 24302])).
% 50.92/33.59 tff(24310,plain,
% 50.92/33.59 (node18(c_m, s6, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24309, 24298])).
% 50.92/33.59 tff(24311,plain,
% 50.92/33.59 (m_processor_v_waiting(c_p0, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[2570, 17863, 5])).
% 50.92/33.59 tff(24312,plain,
% 50.92/33.59 (~node52(c_p0, s7, s8)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23618, 24311, 23439])).
% 50.92/33.59 tff(24313,plain,
% 50.92/33.59 (~node46(c_p0, s7, s8)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23449, 24311, 23439])).
% 50.92/33.59 tff(24314,plain,
% 50.92/33.59 (~m_processor_v_abort(c_p0, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23457, 24313])).
% 50.92/33.59 tff(24315,assumption,(node47(c_p0, s7)), introduced(assumption)).
% 50.92/33.59 tff(24316,plain,
% 50.92/33.59 (m_processor_v_master(c_p0, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23608, 12108, 24315])).
% 50.92/33.59 tff(24317,plain,
% 50.92/33.59 (m_processor_v_CMD(c_p0, s7, c_read_h_shared)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[14662, 657, 24315])).
% 50.92/33.59 tff(24318,plain,
% 50.92/33.59 ($false),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[14566, 24317, 24316, 14546, 14439])).
% 50.92/33.59 tff(24319,plain,((~node47(c_p0, s7)) | m_processor_v_waiting(c_p0, s8) | m_processor_v_abort(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.59 tff(24320,plain,
% 50.92/33.59 (~node47(c_p0, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24319, 14546, 14439])).
% 50.92/33.59 tff(24321,plain,
% 50.92/33.59 (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[14670, 14621, 14546, 14439, 24320])).
% 50.92/33.59 tff(24322,plain,
% 50.92/33.59 (node48(c_p0, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23801, 14621, 14439, 23760, 24320])).
% 50.92/33.59 tff(24323,assumption,(node48(c_p0, s7)), introduced(assumption)).
% 50.92/33.59 tff(24324,plain,
% 50.92/33.59 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p0, s7, c_read_h_owned) | (~node48(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | (~node48(c_p0, s7)))),
% 50.92/33.59 inference(rewrite,[status(thm)],[])).
% 50.92/33.59 tff(24325,plain,
% 50.92/33.59 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p0, s7, c_read_h_owned) | (~node48(c_p0, s7)))),
% 50.92/33.59 inference(quant_inst,[status(thm)],[])).
% 50.92/33.59 tff(24326,plain,
% 50.92/33.59 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | (~node48(c_p0, s7))),
% 50.92/33.59 inference(modus_ponens,[status(thm)],[24325, 24324])).
% 50.92/33.59 tff(24327,plain,
% 50.92/33.59 ($false),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24326, 16883, 14672, 24323])).
% 50.92/33.59 tff(24328,plain,((~node48(c_p0, s7)) | m_processor_v_CMD(c_p0, s7, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.59 tff(24329,plain,
% 50.92/33.59 ($false),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24328, 24322, 24321])).
% 50.92/33.59 tff(24330,plain,((~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | node52(c_p0, s7, s8) | m_processor_v_waiting(c_p0, s8)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.59 tff(24331,plain,
% 50.92/33.59 (~m_processor_v_master(c_p0, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24330, 24314, 24312, 23439])).
% 50.92/33.59 tff(24332,plain,
% 50.92/33.59 (m_processor_v_cmd(c_p0, s7, c_idle)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23597, 24331])).
% 50.92/33.59 tff(24333,plain,
% 50.92/33.59 (~m_processor_v_cmd(c_p0, s7, c_response)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23806, 19905, 24332])).
% 50.92/33.59 tff(24334,plain,
% 50.92/33.59 (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23810, 4285, 24332])).
% 50.92/33.59 tff(24335,plain,
% 50.92/33.59 (~node47(c_p0, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24319, 23439, 24314])).
% 50.92/33.59 tff(24336,plain,
% 50.92/33.59 (~node48(c_p0, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23622, 11562, 24331])).
% 50.92/33.59 tff(24337,plain,
% 50.92/33.59 (node60(c_p0, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[15422, 24314])).
% 50.92/33.59 tff(24338,plain,
% 50.92/33.59 (m_processor_v_state(c_p1, s5, c_owned)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[18035, 13405, 5, 13102])).
% 50.92/33.59 tff(24339,plain,
% 50.92/33.59 (m_processor_v_state(c_p1, s8, c_owned)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23334, 24338, 5])).
% 50.92/33.59 tff(24340,plain,
% 50.92/33.59 (~m_processor_v_state(c_p1, s8, c_invalid)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[13056, 24339])).
% 50.92/33.59 tff(24341,plain,
% 50.92/33.59 (~m_processor_v_state(c_p1, s8, c_shared)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[13150, 121, 24339])).
% 50.92/33.59 tff(24342,plain,
% 50.92/33.59 (~m_processor_v_cmd(c_p1, s7, c_idle)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23745, 23625, 13266])).
% 50.92/33.59 tff(24343,plain,
% 50.92/33.59 (m_processor_v_master(c_p1, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[14619, 24342])).
% 50.92/33.59 tff(24344,plain,
% 50.92/33.59 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s7, c_read_h_owned)) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s7, c_read_h_owned)) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)))),
% 50.92/33.59 inference(rewrite,[status(thm)],[])).
% 50.92/33.59 tff(24345,plain,
% 50.92/33.59 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s7, c_read_h_owned)) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)))),
% 50.92/33.59 inference(quant_inst,[status(thm)],[])).
% 50.92/33.59 tff(24346,plain,
% 50.92/33.59 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s7, c_read_h_owned)) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid))),
% 50.92/33.59 inference(modus_ponens,[status(thm)],[24345, 24344])).
% 50.92/33.59 tff(24347,plain,
% 50.92/33.59 (~m_main_v_CMD(s7, c_read_h_owned)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24346, 7953, 23625])).
% 50.92/33.59 tff(24348,plain,
% 50.92/33.59 (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23577, 24347])).
% 50.92/33.59 tff(24349,plain,
% 50.92/33.59 (~m_processor_v_abort(c_p1, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24004, 24348, 15424])).
% 50.92/33.59 tff(24350,plain,
% 50.92/33.59 ($false),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24156, 24349, 24348, 6397, 6360, 13435, 13266, 23941, 24343])).
% 50.92/33.59 tff(24351,plain,((~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p1, s8, c_invalid) | m_processor_v_state(c_p1, s8, c_shared) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~node60(c_p0, s7))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.59 tff(24352,plain,
% 50.92/33.59 (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24351, 24332, 24341, 17855, 24340, 24337])).
% 50.92/33.59 tff(24353,plain,
% 50.92/33.59 (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23753, 24352])).
% 50.92/33.59 tff(24354,plain,
% 50.92/33.59 (~node50(c_p0, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23757, 11598, 24353])).
% 50.92/33.59 tff(24355,plain,
% 50.92/33.59 (~node8(s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23848, 24354, 24312, 24314, 24336, 24335, 24334, 24333])).
% 50.92/33.59 tff(24356,plain,
% 50.92/33.59 (node60(c_p0, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[15422, 14439])).
% 50.92/33.59 tff(24357,plain,
% 50.92/33.59 (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24351, 13266, 6360, 13435, 6397, 24356])).
% 50.92/33.59 tff(24358,plain,
% 50.92/33.59 (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23753, 24357])).
% 50.92/33.59 tff(24359,plain,
% 50.92/33.59 (~node50(c_p0, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23757, 11598, 24358])).
% 50.92/33.59 tff(24360,plain,
% 50.92/33.59 (node51(c_p0, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23783, 23776, 24359, 23759, 14439, 23760, 23624])).
% 50.92/33.59 tff(24361,plain,
% 50.92/33.59 (m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23845, 24360])).
% 50.92/33.59 tff(24362,plain,
% 50.92/33.59 (m_main_v_CMD(s7, c_write_h_resp_h_shared)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23838, 24361])).
% 50.92/33.59 tff(24363,plain,
% 50.92/33.59 (~m_processor_v_cmd(c_p1, s7, c_idle)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23921, 23719, 23759, 14439, 23760, 23624, 24359])).
% 50.92/33.59 tff(24364,plain,
% 50.92/33.59 (m_processor_v_master(c_p1, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[14619, 24363])).
% 50.92/33.59 tff(24365,plain,
% 50.92/33.59 (m_processor_v_CMD(c_p1, s7, c_read_h_owned)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24158, 24364, 6360, 13435, 6397, 13266, 24356])).
% 50.92/33.59 tff(24366,plain,
% 50.92/33.59 (m_main_v_CMD(s7, c_read_h_owned)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23577, 24365])).
% 50.92/33.59 tff(24367,plain,
% 50.92/33.59 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s7, c_read_h_owned)) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s7, c_read_h_owned)) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared)))),
% 50.92/33.59 inference(rewrite,[status(thm)],[])).
% 50.92/33.59 tff(24368,plain,
% 50.92/33.59 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s7, c_read_h_owned)) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared)))),
% 50.92/33.59 inference(quant_inst,[status(thm)],[])).
% 50.92/33.59 tff(24369,plain,
% 50.92/33.59 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s7, c_read_h_owned)) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared))),
% 50.92/33.59 inference(modus_ponens,[status(thm)],[24368, 24367])).
% 50.92/33.59 tff(24370,plain,
% 50.92/33.59 ($false),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24369, 7940, 24366, 24362])).
% 50.92/33.59 tff(24371,plain,(m_main_v_CMD(s7, c_response) | m_processor_v_state(c_p1, s8, c_shared) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_state(c_p1, s8, c_invalid) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | node48(c_p0, s7) | m_processor_v_abort(c_p0, s7) | node52(c_p0, s7, s8) | node47(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.59 tff(24372,plain,
% 50.92/33.59 (m_main_v_CMD(s7, c_response)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24371, 17855, 24341, 24340, 24332, 24336, 24314, 24312, 24335])).
% 50.92/33.59 tff(24373,plain,
% 50.92/33.59 ((~node12(s7)) | (~m_main_v_CMD(s7, c_response))),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23932, 3644, 24333])).
% 50.92/33.59 tff(24374,plain,
% 50.92/33.59 (~node12(s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24373, 24372])).
% 50.92/33.59 tff(24375,plain,
% 50.92/33.59 (m_processor_v_master(c_p0, s7) | m_processor_v_reply_h_waiting(c_p0, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23465, 2296, 24311])).
% 50.92/33.59 tff(24376,plain,
% 50.92/33.59 (m_processor_v_reply_h_waiting(c_p0, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24375, 24331])).
% 50.92/33.59 tff(24377,plain,
% 50.92/33.59 (~node6(s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23473, 24376])).
% 50.92/33.59 tff(24378,plain,
% 50.92/33.59 (m_main_v_REPLY_h_WAITING(s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23481, 24377])).
% 50.92/33.59 tff(24379,plain,
% 50.92/33.59 (m_processor_v_REPLY_h_WAITING(c_p0, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23489, 24378])).
% 50.92/33.59 tff(24380,plain,
% 50.92/33.59 (node59(c_p0, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23500, 24379, 24337])).
% 50.92/33.59 tff(24381,plain,
% 50.92/33.59 ($false),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23585, 707, 15166, 23986])).
% 50.92/33.59 tff(24382,plain,((~m_processor_v_CMD(c_p0, s7, c_read_h_owned)) | (~node59(c_p0, s7))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.59 tff(24383,plain,
% 50.92/33.59 (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24382, 24380])).
% 50.92/33.59 tff(24384,plain,
% 50.92/33.59 (~m_main_v_CMD(s7, c_read_h_owned)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[14680, 24383])).
% 50.92/33.59 tff(24385,plain,
% 50.92/33.59 (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23577, 24384])).
% 50.92/33.59 tff(24386,plain,
% 50.92/33.59 (~m_processor_v_master(c_p1, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24158, 24385, 24341, 17855, 24340, 24332, 24337])).
% 50.92/33.59 tff(24387,plain,
% 50.92/33.59 (m_processor_v_cmd(c_p1, s7, c_idle)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[14619, 24386])).
% 50.92/33.59 tff(24388,plain,
% 50.92/33.59 (~m_memory_v_cmd(c_m, s7, c_idle)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23904, 24387, 24374, 24355, 24332])).
% 50.92/33.59 tff(24389,plain,
% 50.92/33.59 (node29(c_m, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[13225, 24388])).
% 50.92/33.59 tff(24390,assumption,(~m_memory_v_busy(c_m, s7)), introduced(assumption)).
% 50.92/33.59 tff(24391,plain,
% 50.92/33.59 ($false),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23708, 2072, 13211, 24390])).
% 50.92/33.59 tff(24392,plain,(m_memory_v_busy(c_m, s7) | (~node29(c_m, s7))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.59 tff(24393,plain,
% 50.92/33.59 (m_memory_v_busy(c_m, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24392, 24389])).
% 50.92/33.59 tff(24394,plain,
% 50.92/33.59 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | (m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s7)) | (~node18(c_m, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s7)) | (~node18(c_m, s6, s7)))),
% 50.92/33.59 inference(rewrite,[status(thm)],[])).
% 50.92/33.59 tff(24395,plain,
% 50.92/33.59 (((~node18(c_m, s6, s7)) | m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s7))) <=> (m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s7)) | (~node18(c_m, s6, s7)))),
% 50.92/33.59 inference(rewrite,[status(thm)],[])).
% 50.92/33.59 tff(24396,plain,
% 50.92/33.59 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | ((~node18(c_m, s6, s7)) | m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | (m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s7)) | (~node18(c_m, s6, s7))))),
% 50.92/33.59 inference(monotonicity,[status(thm)],[24395])).
% 50.92/33.59 tff(24397,plain,
% 50.92/33.59 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | ((~node18(c_m, s6, s7)) | m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s7)) | (~node18(c_m, s6, s7)))),
% 50.92/33.59 inference(transitivity,[status(thm)],[24396, 24394])).
% 50.92/33.59 tff(24398,plain,
% 50.92/33.59 ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | ((~node18(c_m, s6, s7)) | m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s7)))),
% 50.92/33.59 inference(quant_inst,[status(thm)],[])).
% 50.92/33.59 tff(24399,plain,
% 50.92/33.59 ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s7)) | (~node18(c_m, s6, s7))),
% 50.92/33.59 inference(modus_ponens,[status(thm)],[24398, 24397])).
% 50.92/33.59 tff(24400,plain,
% 50.92/33.59 (m_memory_v_busy(c_m, s6)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24399, 10278, 24393, 24310])).
% 50.92/33.59 tff(24401,plain,
% 50.92/33.59 (((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | ((~m_memory_v_busy(c_m, s6)) | node30(c_m, s6) | m_memory_v_reply_h_stall(c_m, s6))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | (~m_memory_v_busy(c_m, s6)) | node30(c_m, s6) | m_memory_v_reply_h_stall(c_m, s6))),
% 50.92/33.59 inference(rewrite,[status(thm)],[])).
% 50.92/33.59 tff(24402,plain,
% 50.92/33.59 ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | ((~m_memory_v_busy(c_m, s6)) | node30(c_m, s6) | m_memory_v_reply_h_stall(c_m, s6))),
% 50.92/33.59 inference(quant_inst,[status(thm)],[])).
% 50.92/33.59 tff(24403,plain,
% 50.92/33.59 ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | (~m_memory_v_busy(c_m, s6)) | node30(c_m, s6) | m_memory_v_reply_h_stall(c_m, s6)),
% 50.92/33.59 inference(modus_ponens,[status(thm)],[24402, 24401])).
% 50.92/33.59 tff(24404,plain,
% 50.92/33.59 (node30(c_m, s6)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24403, 4819, 24400, 24229])).
% 50.92/33.59 tff(24405,plain,
% 50.92/33.59 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s6, c_read_h_owned)) | (~node30(c_m, s6)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | (~m_memory_v_CMD(c_m, s6, c_read_h_owned)) | (~node30(c_m, s6)))),
% 50.92/33.59 inference(rewrite,[status(thm)],[])).
% 50.92/33.59 tff(24406,plain,
% 50.92/33.59 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s6, c_read_h_owned)) | (~node30(c_m, s6)))),
% 50.92/33.59 inference(quant_inst,[status(thm)],[])).
% 50.92/33.59 tff(24407,plain,
% 50.92/33.59 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | (~m_memory_v_CMD(c_m, s6, c_read_h_owned)) | (~node30(c_m, s6))),
% 50.92/33.59 inference(modus_ponens,[status(thm)],[24406, 24405])).
% 50.92/33.59 tff(24408,plain,
% 50.92/33.59 ($false),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24407, 5042, 24273, 24404])).
% 50.92/33.59 tff(24409,plain,((~node67(s8)) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_state(c_p1, s7, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.59 tff(24410,plain,
% 50.92/33.59 (m_processor_v_state(c_p1, s7, c_invalid)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24409, 24212, 5, 24207])).
% 50.92/33.59 tff(24411,plain,
% 50.92/33.59 (m_processor_v_state(c_p1, s7, c_owned)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23587, 24410, 5, 24207])).
% 50.92/33.59 tff(24412,plain,
% 50.92/33.59 (~m_processor_v_waiting(c_p0, s8)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[14420, 24209])).
% 50.92/33.59 tff(24413,plain,
% 50.92/33.59 (m_processor_v_waiting(c_p0, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[2570, 24210, 5])).
% 50.92/33.59 tff(24414,plain,
% 50.92/33.59 (~node46(c_p0, s7, s8)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23449, 24413, 24412])).
% 50.92/33.59 tff(24415,plain,
% 50.92/33.59 (~m_processor_v_abort(c_p0, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23457, 24414])).
% 50.92/33.59 tff(24416,plain,
% 50.92/33.59 (node60(c_p0, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[15422, 24415])).
% 50.92/33.59 tff(24417,plain,
% 50.92/33.59 (~node52(c_p0, s7, s8)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23618, 24413, 24412])).
% 50.92/33.59 tff(24418,plain,
% 50.92/33.59 (~m_processor_v_cmd(c_p1, s7, c_idle)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23935, 24415, 13267, 23598, 23623, 24417, 23609])).
% 50.92/33.59 tff(24419,plain,
% 50.92/33.59 (m_processor_v_master(c_p1, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[14619, 24418])).
% 50.92/33.59 tff(24420,plain,
% 50.92/33.59 (m_processor_v_CMD(c_p1, s7, c_read_h_owned)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24158, 24419, 23605, 23604, 24416, 23598, 24411])).
% 50.92/33.59 tff(24421,plain,
% 50.92/33.59 (~node32(c_p1, s7, s8)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24167, 24410, 23605])).
% 50.92/33.59 tff(24422,plain,
% 50.92/33.59 (~m_processor_v_abort(c_p1, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[13049, 24421])).
% 50.92/33.59 tff(24423,plain,
% 50.92/33.59 (node60(c_p1, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24175, 24422])).
% 50.92/33.59 tff(24424,plain,
% 50.92/33.59 (m_processor_v_reply_h_waiting(c_p0, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24177, 24413])).
% 50.92/33.59 tff(24425,plain,
% 50.92/33.59 (~node6(s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23473, 24424])).
% 50.92/33.59 tff(24426,plain,
% 50.92/33.59 (m_main_v_REPLY_h_WAITING(s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23481, 24425])).
% 50.92/33.59 tff(24427,plain,
% 50.92/33.59 (m_processor_v_REPLY_h_WAITING(c_p1, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24185, 24426])).
% 50.92/33.59 tff(24428,plain,
% 50.92/33.59 (node59(c_p1, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24196, 24427, 24423])).
% 50.92/33.59 tff(24429,plain,
% 50.92/33.59 ($false),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24203, 24428, 24420])).
% 50.92/33.59 tff(24430,plain,((~m_memory_v_cmd(c_m, s7, c_idle)) | m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_master(c_p0, s7) | node67(s9)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.59 tff(24431,plain,
% 50.92/33.59 (~m_memory_v_cmd(c_m, s7, c_idle)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24430, 5, 55, 5949])).
% 50.92/33.59 tff(24432,plain,
% 50.92/33.59 (node29(c_m, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[13225, 24431])).
% 50.92/33.59 tff(24433,plain,
% 50.92/33.59 (m_memory_v_master(c_m, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[13217, 24432])).
% 50.92/33.59 tff(24434,plain,
% 50.92/33.59 (node17(s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[13209, 24433])).
% 50.92/33.59 tff(24435,plain,
% 50.92/33.59 (~m_processor_v_master(c_p1, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[13201, 24434])).
% 50.92/33.59 tff(24436,plain,
% 50.92/33.59 (m_processor_v_state(c_p1, s7, c_owned)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[13152, 24435, 23415])).
% 50.92/33.59 tff(24437,plain,
% 50.92/33.59 (~m_processor_v_state(c_p1, s7, c_invalid)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[13403, 137, 24436])).
% 50.92/33.59 tff(24438,plain,
% 50.92/33.59 (~node67(s8)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24409, 13405, 5, 13102])).
% 50.92/33.59 tff(24439,plain,
% 50.92/33.59 (node67(s9)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23325, 24438, 5, 24338])).
% 50.92/33.59 tff(24440,plain,
% 50.92/33.59 (m_processor_v_writable(c_p0, s9)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[14729, 24439])).
% 50.92/33.59 tff(24441,plain,
% 50.92/33.59 (node56(c_p0, s9)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[14737, 24440])).
% 50.92/33.59 tff(24442,plain,
% 50.92/33.59 (m_processor_v_state(c_p0, s9, c_owned)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[14745, 24441])).
% 50.92/33.59 tff(24443,plain,
% 50.92/33.59 (~m_processor_v_state(c_p0, s9, c_invalid)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[14770, 137, 24442])).
% 50.92/33.59 tff(24444,plain,
% 50.92/33.59 (m_processor_v_writable(c_p1, s9)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[6259, 24439])).
% 50.92/33.59 tff(24445,plain,
% 50.92/33.59 (node56(c_p1, s9)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[6267, 24444])).
% 50.92/33.59 tff(24446,plain,
% 50.92/33.59 (m_processor_v_state(c_p1, s9, c_owned)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[6275, 24445])).
% 50.92/33.59 tff(24447,plain,
% 50.92/33.59 (~m_processor_v_state(c_p1, s9, c_invalid)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[6279, 137, 24446])).
% 50.92/33.59 tff(24448,plain,
% 50.92/33.59 (~m_processor_v_state(c_p1, s9, c_shared)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[6286, 121, 24446])).
% 50.92/33.59 tff(24449,plain,
% 50.92/33.59 (~m_processor_v_waiting(c_p0, s9)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[14756, 540, 24441])).
% 50.92/33.59 tff(24450,plain,
% 50.92/33.59 (m_processor_v_state(c_p1, s7, c_owned)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[17997, 24449, 24442, 24448, 24447, 24339, 5, 13102, 13405])).
% 50.92/33.59 tff(24451,plain,
% 50.92/33.59 (~m_processor_v_state(c_p1, s7, c_shared)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[13520, 24450])).
% 50.92/33.59 tff(24452,plain,
% 50.92/33.59 (~m_processor_v_state(c_p1, s6, c_shared)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[13580, 24451, 13102, 13405])).
% 50.92/33.59 tff(24453,plain,
% 50.92/33.59 (m_processor_v_state(c_p1, s6, c_owned)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[13463, 24452, 13405, 24450])).
% 50.92/33.59 tff(24454,plain,
% 50.92/33.59 (m_processor_v_reply_h_owned(c_p1, s6)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24236, 24453, 13405])).
% 50.92/33.59 tff(24455,plain,
% 50.92/33.59 (~node5(s6)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24244, 24454])).
% 50.92/33.59 tff(24456,plain,
% 50.92/33.59 (m_main_v_REPLY_h_OWNED(s6)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24252, 24455])).
% 50.92/33.59 tff(24457,plain,
% 50.92/33.59 (m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24260, 24456])).
% 50.92/33.59 tff(24458,plain,
% 50.92/33.59 (~m_processor_v_waiting(c_p1, s9)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[6546, 540, 24445])).
% 50.92/33.59 tff(24459,plain,
% 50.92/33.59 (m_processor_v_state(c_p0, s8, c_owned)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[18128, 55, 14758, 14759])).
% 50.92/33.59 tff(24460,plain,
% 50.92/33.59 (m_processor_v_state(c_p0, s7, c_owned)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[14544, 24459, 55])).
% 50.92/33.59 tff(24461,plain,
% 50.92/33.59 (m_processor_v_waiting(c_p0, s7)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[2570, 24460, 5])).
% 50.92/33.59 tff(24462,plain,
% 50.92/33.59 (m_processor_v_waiting(c_p0, s8)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[23618, 24461, 23610])).
% 50.92/33.59 tff(24463,plain,
% 50.92/33.59 (~node46(c_p0, s8, s9)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[15499, 24462, 14758])).
% 50.92/33.59 tff(24464,plain,
% 50.92/33.59 (~m_processor_v_abort(c_p0, s8)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[15507, 24463])).
% 50.92/33.59 tff(24465,plain,
% 50.92/33.59 (~node52(c_p0, s8, s9)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[15337, 24462, 14758])).
% 50.92/33.59 tff(24466,plain,
% 50.92/33.59 (~node46(c_p0, s8, s9)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[15499, 14415, 14758])).
% 50.92/33.59 tff(24467,plain,
% 50.92/33.59 (~m_processor_v_abort(c_p0, s8)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[15507, 24466])).
% 50.92/33.59 tff(24468,plain,
% 50.92/33.59 (node60(c_p0, s8)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[14912, 24467])).
% 50.92/33.59 tff(24469,plain,
% 50.92/33.59 (~m_processor_v_abort(c_p1, s8)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[15835, 24468])).
% 50.92/33.59 tff(24470,plain,
% 50.92/33.59 (node60(c_p1, s8)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[15039, 24469])).
% 50.92/33.59 tff(24471,plain,
% 50.92/33.59 (m_processor_v_CMD(c_p0, s8, c_read_h_owned)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[15828, 6490])).
% 50.92/33.59 tff(24472,plain,
% 50.92/33.59 (~m_processor_v_master(c_p0, s8)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[18101, 24471, 24467, 14758])).
% 50.92/33.59 tff(24473,plain,
% 50.92/33.59 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p0, s8)) | m_processor_v_master(c_p0, s8) | m_processor_v_reply_h_waiting(c_p0, s8))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s8)) | m_processor_v_master(c_p0, s8) | m_processor_v_reply_h_waiting(c_p0, s8))),
% 50.92/33.59 inference(rewrite,[status(thm)],[])).
% 50.92/33.59 tff(24474,plain,
% 50.92/33.59 ((m_processor_v_master(c_p0, s8) | (~m_processor_v_waiting(c_p0, s8)) | m_processor_v_reply_h_waiting(c_p0, s8)) <=> ((~m_processor_v_waiting(c_p0, s8)) | m_processor_v_master(c_p0, s8) | m_processor_v_reply_h_waiting(c_p0, s8))),
% 50.92/33.59 inference(rewrite,[status(thm)],[])).
% 50.92/33.59 tff(24475,plain,
% 50.92/33.59 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s8) | (~m_processor_v_waiting(c_p0, s8)) | m_processor_v_reply_h_waiting(c_p0, s8))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p0, s8)) | m_processor_v_master(c_p0, s8) | m_processor_v_reply_h_waiting(c_p0, s8)))),
% 50.92/33.59 inference(monotonicity,[status(thm)],[24474])).
% 50.92/33.59 tff(24476,plain,
% 50.92/33.59 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s8) | (~m_processor_v_waiting(c_p0, s8)) | m_processor_v_reply_h_waiting(c_p0, s8))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s8)) | m_processor_v_master(c_p0, s8) | m_processor_v_reply_h_waiting(c_p0, s8))),
% 50.92/33.59 inference(transitivity,[status(thm)],[24475, 24473])).
% 50.92/33.59 tff(24477,plain,
% 50.92/33.59 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s8) | (~m_processor_v_waiting(c_p0, s8)) | m_processor_v_reply_h_waiting(c_p0, s8))),
% 50.92/33.59 inference(quant_inst,[status(thm)],[])).
% 50.92/33.59 tff(24478,plain,
% 50.92/33.59 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s8)) | m_processor_v_master(c_p0, s8) | m_processor_v_reply_h_waiting(c_p0, s8)),
% 50.92/33.59 inference(modus_ponens,[status(thm)],[24477, 24476])).
% 50.92/33.59 tff(24479,plain,
% 50.92/33.59 (m_processor_v_master(c_p0, s8) | m_processor_v_reply_h_waiting(c_p0, s8)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24478, 2296, 14415])).
% 50.92/33.59 tff(24480,plain,
% 50.92/33.59 (m_processor_v_reply_h_waiting(c_p0, s8)),
% 50.92/33.59 inference(unit_resolution,[status(thm)],[24479, 24472])).
% 50.92/33.59 tff(24481,plain,
% 50.92/33.59 (((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | ((~node6(s8)) | (~m_processor_v_reply_h_waiting(c_p0, s8)))) <=> ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | (~node6(s8)) | (~m_processor_v_reply_h_waiting(c_p0, s8)))),
% 50.92/33.60 inference(rewrite,[status(thm)],[])).
% 50.92/33.60 tff(24482,plain,
% 50.92/33.60 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | ((~node6(s8)) | (~m_processor_v_reply_h_waiting(c_p0, s8)))),
% 50.92/33.60 inference(quant_inst,[status(thm)],[])).
% 50.92/33.60 tff(24483,plain,
% 50.92/33.60 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | (~node6(s8)) | (~m_processor_v_reply_h_waiting(c_p0, s8))),
% 50.92/33.60 inference(modus_ponens,[status(thm)],[24482, 24481])).
% 50.92/33.60 tff(24484,plain,
% 50.92/33.60 (~node6(s8)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24483, 778, 24480])).
% 50.92/33.60 tff(24485,assumption,(~node6(s8)), introduced(assumption)).
% 50.92/33.60 tff(24486,plain,
% 50.92/33.60 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | (m_main_v_REPLY_h_WAITING(s8) | node6(s8))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | m_main_v_REPLY_h_WAITING(s8) | node6(s8))),
% 50.92/33.60 inference(rewrite,[status(thm)],[])).
% 50.92/33.60 tff(24487,plain,
% 50.92/33.60 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | (m_main_v_REPLY_h_WAITING(s8) | node6(s8))),
% 50.92/33.60 inference(quant_inst,[status(thm)],[])).
% 50.92/33.60 tff(24488,plain,
% 50.92/33.60 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | node6(X))) | m_main_v_REPLY_h_WAITING(s8) | node6(s8)),
% 50.92/33.60 inference(modus_ponens,[status(thm)],[24487, 24486])).
% 50.92/33.60 tff(24489,plain,
% 50.92/33.60 ($false),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24488, 760, 15110, 24485])).
% 50.92/33.60 tff(24490,plain,(node6(s8) | m_main_v_REPLY_h_WAITING(s8)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.60 tff(24491,plain,
% 50.92/33.60 (m_main_v_REPLY_h_WAITING(s8)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24490, 24484])).
% 50.92/33.60 tff(24492,plain,
% 50.92/33.60 (m_processor_v_REPLY_h_WAITING(c_p1, s8)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[16450, 24491])).
% 50.92/33.60 tff(24493,plain,
% 50.92/33.60 (node59(c_p1, s8)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[16445, 24492, 24470])).
% 50.92/33.60 tff(24494,plain,
% 50.92/33.60 ($false),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[16440, 707, 6479, 24493])).
% 50.92/33.60 tff(24495,plain,((~m_processor_v_CMD(c_p1, s8, c_read_h_owned)) | (~m_processor_v_waiting(c_p0, s8)) | m_processor_v_waiting(c_p0, s9)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.60 tff(24496,plain,
% 50.92/33.60 (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24495, 24462, 14758])).
% 50.92/33.60 tff(24497,plain,
% 50.92/33.60 (~m_memory_v_cmd(c_m, s8, c_idle)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[16096, 24496, 14759, 13022, 6288, 6289, 24465, 6290, 24464, 14758])).
% 50.92/33.60 tff(24498,plain,
% 50.92/33.60 (node29(c_m, s8)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[15489, 24497])).
% 50.92/33.60 tff(24499,plain,
% 50.92/33.60 (m_memory_v_busy(c_m, s8)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[15481, 2072, 24498])).
% 50.92/33.60 tff(24500,plain,
% 50.92/33.60 (~node59(c_p0, s7)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24382, 15166])).
% 50.92/33.60 tff(24501,plain,
% 50.92/33.60 (~m_processor_v_REPLY_h_WAITING(c_p0, s7)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[23500, 24500, 24356])).
% 50.92/33.60 tff(24502,plain,
% 50.92/33.60 (~m_main_v_REPLY_h_WAITING(s7)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[23489, 24501])).
% 50.92/33.60 tff(24503,plain,
% 50.92/33.60 (node6(s7)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[23481, 24502])).
% 50.92/33.60 tff(24504,plain,
% 50.92/33.60 (~m_processor_v_reply_h_waiting(c_p0, s7)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[23473, 24503])).
% 50.92/33.60 tff(24505,plain,
% 50.92/33.60 (~m_processor_v_waiting(c_p0, s7)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24177, 24504])).
% 50.92/33.60 tff(24506,plain,
% 50.92/33.60 (~m_processor_v_state(c_p0, s7, c_owned)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[2570, 24505, 5])).
% 50.92/33.60 tff(24507,plain,
% 50.92/33.60 (~m_processor_v_state(c_p0, s8, c_owned)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[14544, 24506, 55])).
% 50.92/33.60 tff(24508,plain,
% 50.92/33.60 (m_processor_v_CMD(c_p0, s8, c_read_h_owned)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[15134, 24507, 14759])).
% 50.92/33.60 tff(24509,plain,
% 50.92/33.60 (m_processor_v_master(c_p0, s8)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[14888, 24507, 14759])).
% 50.92/33.60 tff(24510,assumption,(node35(c_p0, s7)), introduced(assumption)).
% 50.92/33.60 tff(24511,plain,
% 50.92/33.60 ($false),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[14466, 316, 24510, 15166])).
% 50.92/33.60 tff(24512,plain,((~node35(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s7, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.60 tff(24513,plain,
% 50.92/33.60 (~node35(c_p0, s7)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24512, 15166])).
% 50.92/33.60 tff(24514,plain,
% 50.92/33.60 (~m_processor_v_state(c_p0, s7, c_invalid)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[16223, 24506, 13022, 6289, 14758, 6288, 14759, 6290, 13435])).
% 50.92/33.60 tff(24515,plain,
% 50.92/33.60 (m_processor_v_state(c_p0, s7, c_shared)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[2473, 24514, 24506])).
% 50.92/33.60 tff(24516,plain,
% 50.92/33.60 (m_processor_v_state(c_p0, s8, c_invalid)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[14452, 24515, 24513, 14439, 55])).
% 50.92/33.60 tff(24517,plain,
% 50.92/33.60 (~node32(c_p0, s8, s9)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[14797, 24516, 14771])).
% 50.92/33.60 tff(24518,plain,
% 50.92/33.60 (~m_processor_v_abort(c_p0, s8)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[14811, 24517])).
% 50.92/33.60 tff(24519,plain,
% 50.92/33.60 (node47(c_p0, s8)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[15149, 24518, 24509, 24508, 14758])).
% 50.92/33.60 tff(24520,plain,
% 50.92/33.60 (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[15157, 24518, 14758, 24509])).
% 50.92/33.60 tff(24521,plain,
% 50.92/33.60 ($false),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[15161, 657, 24520, 24519])).
% 50.92/33.60 tff(24522,plain,((~m_processor_v_CMD(c_p0, s7, c_read_h_owned)) | m_processor_v_waiting(c_p0, s9) | m_processor_v_abort(c_p0, s7) | m_processor_v_master(c_p0, s7) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_waiting(c_p1, s9) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_state(c_p0, s6, c_owned)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.60 tff(24523,plain,
% 50.92/33.60 (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24522, 55, 14439, 14758, 14759, 13022, 6289, 6288, 6290, 13435, 5])).
% 50.92/33.60 tff(24524,plain,
% 50.92/33.60 (~m_main_v_CMD(s7, c_read_h_owned)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[14680, 24523])).
% 50.92/33.60 tff(24525,plain,
% 50.92/33.60 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s7, c_read_h_owned) | (~node1(s7)) | (~m_memory_v_CMD(c_m, s7, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s7, c_read_h_owned) | (~node1(s7)) | (~m_memory_v_CMD(c_m, s7, c_read_h_owned)))),
% 50.92/33.60 inference(rewrite,[status(thm)],[])).
% 50.92/33.60 tff(24526,plain,
% 50.92/33.60 (((~node1(s7)) | m_main_v_CMD(s7, c_read_h_owned) | (~m_memory_v_CMD(c_m, s7, c_read_h_owned))) <=> (m_main_v_CMD(s7, c_read_h_owned) | (~node1(s7)) | (~m_memory_v_CMD(c_m, s7, c_read_h_owned)))),
% 50.92/33.60 inference(rewrite,[status(thm)],[])).
% 50.92/33.60 tff(24527,plain,
% 50.92/33.60 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s7)) | m_main_v_CMD(s7, c_read_h_owned) | (~m_memory_v_CMD(c_m, s7, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s7, c_read_h_owned) | (~node1(s7)) | (~m_memory_v_CMD(c_m, s7, c_read_h_owned))))),
% 50.92/33.60 inference(monotonicity,[status(thm)],[24526])).
% 50.92/33.60 tff(24528,plain,
% 50.92/33.60 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s7)) | m_main_v_CMD(s7, c_read_h_owned) | (~m_memory_v_CMD(c_m, s7, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s7, c_read_h_owned) | (~node1(s7)) | (~m_memory_v_CMD(c_m, s7, c_read_h_owned)))),
% 50.92/33.60 inference(transitivity,[status(thm)],[24527, 24525])).
% 50.92/33.60 tff(24529,plain,
% 50.92/33.60 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s7)) | m_main_v_CMD(s7, c_read_h_owned) | (~m_memory_v_CMD(c_m, s7, c_read_h_owned)))),
% 50.92/33.60 inference(quant_inst,[status(thm)],[])).
% 50.92/33.60 tff(24530,plain,
% 50.92/33.60 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s7, c_read_h_owned) | (~node1(s7)) | (~m_memory_v_CMD(c_m, s7, c_read_h_owned))),
% 50.92/33.60 inference(modus_ponens,[status(thm)],[24529, 24528])).
% 50.92/33.60 tff(24531,plain,
% 50.92/33.60 ($false),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24530, 4693, 15370, 13193, 15378])).
% 50.92/33.60 tff(24532,plain,((~m_memory_v_CMD(c_m, s7, c_read_h_owned)) | m_main_v_CMD(s7, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.60 tff(24533,plain,
% 50.92/33.60 (~m_memory_v_CMD(c_m, s7, c_read_h_owned)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24532, 24524])).
% 50.92/33.60 tff(24534,plain,
% 50.92/33.60 (~m_processor_v_REPLY_h_STALL(c_p0, s7)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[15430, 24356])).
% 50.92/33.60 tff(24535,plain,
% 50.92/33.60 (~m_main_v_REPLY_h_STALL(s7)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[15438, 24534])).
% 50.92/33.60 tff(24536,assumption,(m_memory_v_REPLY_h_STALL(c_m, s7)), introduced(assumption)).
% 50.92/33.60 tff(24537,plain,
% 50.92/33.60 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | (m_main_v_REPLY_h_STALL(s7) | (~m_memory_v_REPLY_h_STALL(c_m, s7)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | m_main_v_REPLY_h_STALL(s7) | (~m_memory_v_REPLY_h_STALL(c_m, s7)))),
% 50.92/33.60 inference(rewrite,[status(thm)],[])).
% 50.92/33.60 tff(24538,plain,
% 50.92/33.60 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | (m_main_v_REPLY_h_STALL(s7) | (~m_memory_v_REPLY_h_STALL(c_m, s7)))),
% 50.92/33.60 inference(quant_inst,[status(thm)],[])).
% 50.92/33.60 tff(24539,plain,
% 50.92/33.60 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | m_main_v_REPLY_h_STALL(s7) | (~m_memory_v_REPLY_h_STALL(c_m, s7))),
% 50.92/33.60 inference(modus_ponens,[status(thm)],[24538, 24537])).
% 50.92/33.60 tff(24540,plain,
% 50.92/33.60 ($false),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24539, 4014, 15441, 24536])).
% 50.92/33.60 tff(24541,plain,((~m_memory_v_REPLY_h_STALL(c_m, s7)) | m_main_v_REPLY_h_STALL(s7)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.60 tff(24542,plain,
% 50.92/33.60 (~m_memory_v_REPLY_h_STALL(c_m, s7)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24541, 24535])).
% 50.92/33.60 tff(24543,plain,
% 50.92/33.60 (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[23577, 24524])).
% 50.92/33.60 tff(24544,plain,
% 50.92/33.60 (~m_processor_v_master(c_p1, s7)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24158, 24543, 15882, 13435, 13057, 23598, 24356])).
% 50.92/33.60 tff(24545,plain,
% 50.92/33.60 (m_processor_v_cmd(c_p1, s7, c_idle)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[14619, 24544])).
% 50.92/33.60 tff(24546,plain,
% 50.92/33.60 (m_main_v_CMD(s6, c_read_h_owned)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[16359, 24460, 5, 14207])).
% 50.92/33.60 tff(24547,plain,
% 50.92/33.60 (m_memory_v_CMD(c_m, s6, c_read_h_owned)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24272, 24546])).
% 50.92/33.60 tff(24548,plain,
% 50.92/33.60 (~node25(c_m, s6)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24280, 24547])).
% 50.92/33.60 tff(24549,plain,
% 50.92/33.60 (~node26(c_m, s6)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24289, 24548, 24283])).
% 50.92/33.60 tff(24550,plain,
% 50.92/33.60 (m_memory_v_abort(c_m, s6)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24297, 24549])).
% 50.92/33.60 tff(24551,plain,
% 50.92/33.60 (node18(c_m, s6, s7)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24309, 24550])).
% 50.92/33.60 tff(24552,assumption,(node30(c_m, s6)), introduced(assumption)).
% 50.92/33.60 tff(24553,plain,
% 50.92/33.60 ($false),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24407, 5042, 24275, 24552])).
% 50.92/33.60 tff(24554,plain,((~node30(c_m, s6)) | (~m_memory_v_CMD(c_m, s6, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.60 tff(24555,plain,
% 50.92/33.60 (~node30(c_m, s6)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24554, 24547])).
% 50.92/33.60 tff(24556,plain,
% 50.92/33.60 (~m_processor_v_state(c_p0, s8, c_invalid)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[14429, 24459])).
% 50.92/33.60 tff(24557,plain,
% 50.92/33.60 (~m_processor_v_state(c_p0, s7, c_invalid)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[14541, 24556, 55])).
% 50.92/33.60 tff(24558,plain,
% 50.92/33.60 (~m_processor_v_state(c_p0, s7, c_shared)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[14501, 24459, 55])).
% 50.92/33.60 tff(24559,plain,
% 50.92/33.60 (~m_processor_v_abort(c_p1, s6)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[16310, 24558, 5, 24557])).
% 50.92/33.60 tff(24560,plain,
% 50.92/33.60 (node60(c_p1, s6)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[18324, 24559])).
% 50.92/33.60 tff(24561,plain,
% 50.92/33.60 (~m_processor_v_REPLY_h_STALL(c_p1, s6)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[18350, 24560])).
% 50.92/33.60 tff(24562,plain,
% 50.92/33.60 (~m_main_v_REPLY_h_STALL(s6)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[18356, 24561])).
% 50.92/33.60 tff(24563,plain,
% 50.92/33.60 (node7(s6)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24220, 24562])).
% 50.92/33.60 tff(24564,plain,
% 50.92/33.60 (~m_memory_v_reply_h_stall(c_m, s6)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24228, 24563])).
% 50.92/33.60 tff(24565,assumption,(~node30(c_m, s6)), introduced(assumption)).
% 50.92/33.60 tff(24566,assumption,(~m_memory_v_reply_h_stall(c_m, s6)), introduced(assumption)).
% 50.92/33.60 tff(24567,assumption,(m_memory_v_busy(c_m, s6)), introduced(assumption)).
% 50.92/33.60 tff(24568,plain,
% 50.92/33.60 ($false),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24403, 4819, 24567, 24566, 24565])).
% 50.92/33.60 tff(24569,plain,((~m_memory_v_busy(c_m, s6)) | m_memory_v_reply_h_stall(c_m, s6) | node30(c_m, s6)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.60 tff(24570,plain,
% 50.92/33.60 (~m_memory_v_busy(c_m, s6)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24569, 24564, 24555])).
% 50.92/33.60 tff(24571,plain,
% 50.92/33.60 (~m_memory_v_busy(c_m, s7)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24399, 10278, 24570, 24551])).
% 50.92/33.60 tff(24572,plain,
% 50.92/33.60 (~node29(c_m, s7)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24392, 24571])).
% 50.92/33.60 tff(24573,plain,
% 50.92/33.60 (m_memory_v_cmd(c_m, s7, c_idle)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[13225, 24572])).
% 50.92/33.60 tff(24574,plain,
% 50.92/33.60 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_shared)))),
% 50.92/33.60 inference(rewrite,[status(thm)],[])).
% 50.92/33.60 tff(24575,plain,
% 50.92/33.60 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_shared)))),
% 50.92/33.60 inference(quant_inst,[status(thm)],[])).
% 50.92/33.60 tff(24576,plain,
% 50.92/33.60 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_shared))),
% 50.92/33.60 inference(modus_ponens,[status(thm)],[24575, 24574])).
% 50.92/33.60 tff(24577,plain,
% 50.92/33.60 (~m_processor_v_cmd(c_p0, s7, c_read_h_shared)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24576, 3200, 13266])).
% 50.92/33.60 tff(24578,assumption,(node12(s7)), introduced(assumption)).
% 50.92/33.60 tff(24579,plain,
% 50.92/33.60 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~node12(s7)) | m_processor_v_cmd(c_p0, s7, c_read_h_shared) | (~m_main_v_CMD(s7, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~node12(s7)) | m_processor_v_cmd(c_p0, s7, c_read_h_shared) | (~m_main_v_CMD(s7, c_read_h_shared)))),
% 50.92/33.60 inference(rewrite,[status(thm)],[])).
% 50.92/33.60 tff(24580,plain,
% 50.92/33.60 (((~m_main_v_CMD(s7, c_read_h_shared)) | m_processor_v_cmd(c_p0, s7, c_read_h_shared) | (~node12(s7))) <=> ((~node12(s7)) | m_processor_v_cmd(c_p0, s7, c_read_h_shared) | (~m_main_v_CMD(s7, c_read_h_shared)))),
% 50.92/33.60 inference(rewrite,[status(thm)],[])).
% 50.92/33.60 tff(24581,plain,
% 50.92/33.60 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s7, c_read_h_shared)) | m_processor_v_cmd(c_p0, s7, c_read_h_shared) | (~node12(s7)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~node12(s7)) | m_processor_v_cmd(c_p0, s7, c_read_h_shared) | (~m_main_v_CMD(s7, c_read_h_shared))))),
% 50.92/33.60 inference(monotonicity,[status(thm)],[24580])).
% 50.92/33.60 tff(24582,plain,
% 50.92/33.60 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s7, c_read_h_shared)) | m_processor_v_cmd(c_p0, s7, c_read_h_shared) | (~node12(s7)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~node12(s7)) | m_processor_v_cmd(c_p0, s7, c_read_h_shared) | (~m_main_v_CMD(s7, c_read_h_shared)))),
% 50.92/33.60 inference(transitivity,[status(thm)],[24581, 24579])).
% 50.92/33.60 tff(24583,plain,
% 50.92/33.60 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s7, c_read_h_shared)) | m_processor_v_cmd(c_p0, s7, c_read_h_shared) | (~node12(s7)))),
% 50.92/33.60 inference(quant_inst,[status(thm)],[])).
% 50.92/33.60 tff(24584,plain,
% 50.92/33.60 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~node12(s7)) | m_processor_v_cmd(c_p0, s7, c_read_h_shared) | (~m_main_v_CMD(s7, c_read_h_shared))),
% 50.92/33.60 inference(modus_ponens,[status(thm)],[24583, 24582])).
% 50.92/33.60 tff(24585,plain,
% 50.92/33.60 ($false),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24584, 3644, 13174, 14693, 24578])).
% 50.92/33.60 tff(24586,plain,((~node12(s7)) | (~m_main_v_CMD(s7, c_read_h_shared)) | m_processor_v_cmd(c_p0, s7, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.60 tff(24587,plain,
% 50.92/33.60 (~node12(s7)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24586, 13174, 24577])).
% 50.92/33.60 tff(24588,plain,
% 50.92/33.60 (~node9(s7)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[23641, 2146, 13332])).
% 50.92/33.60 tff(24589,plain,
% 50.92/33.60 (~node11(s7)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[23659, 2157, 13332])).
% 50.92/33.60 tff(24590,plain,
% 50.92/33.60 ((~m_processor_v_cmd(c_p0, s7, c_idle)) | node12(s7) | node9(s7) | node11(s7) | (~m_memory_v_cmd(c_m, s7, c_idle))),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[23677, 2171, 14636])).
% 50.92/33.60 tff(24591,plain,
% 50.92/33.60 ($false),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24590, 24589, 24588, 13266, 13267, 23700])).
% 50.92/33.60 tff(24592,plain,(m_processor_v_cmd(c_p2, s7, c_idle) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_memory_v_cmd(c_m, s7, c_idle)) | node12(s7) | (~m_processor_v_cmd(c_p1, s7, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.60 tff(24593,plain,
% 50.92/33.60 (m_processor_v_cmd(c_p2, s7, c_idle)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24592, 24587, 13267, 13266, 14636])).
% 50.92/33.60 tff(24594,plain,
% 50.92/33.60 (node8(s7)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[14643, 24593, 13267])).
% 50.92/33.60 tff(24595,plain,
% 50.92/33.60 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_read_h_shared) | (~m_main_v_CMD(s7, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_read_h_shared) | (~m_main_v_CMD(s7, c_read_h_shared)))),
% 50.92/33.60 inference(rewrite,[status(thm)],[])).
% 50.92/33.60 tff(24596,plain,
% 50.92/33.60 (((~m_main_v_CMD(s7, c_read_h_shared)) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_read_h_shared)) <=> ((~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_read_h_shared) | (~m_main_v_CMD(s7, c_read_h_shared)))),
% 50.92/33.60 inference(rewrite,[status(thm)],[])).
% 50.92/33.60 tff(24597,plain,
% 50.92/33.60 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_read_h_shared)) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_read_h_shared) | (~m_main_v_CMD(s7, c_read_h_shared))))),
% 50.92/33.60 inference(monotonicity,[status(thm)],[24596])).
% 50.92/33.60 tff(24598,plain,
% 50.92/33.60 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_read_h_shared)) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_read_h_shared) | (~m_main_v_CMD(s7, c_read_h_shared)))),
% 50.92/33.60 inference(transitivity,[status(thm)],[24597, 24595])).
% 50.92/33.60 tff(24599,plain,
% 50.92/33.60 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_read_h_shared)) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_read_h_shared))),
% 50.92/33.60 inference(quant_inst,[status(thm)],[])).
% 50.92/33.60 tff(24600,plain,
% 50.92/33.60 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_read_h_shared) | (~m_main_v_CMD(s7, c_read_h_shared))),
% 50.92/33.60 inference(modus_ponens,[status(thm)],[24599, 24598])).
% 50.92/33.60 tff(24601,plain,
% 50.92/33.60 ($false),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24600, 2191, 13174, 24577, 24594])).
% 50.92/33.60 tff(24602,plain,((~m_main_v_CMD(s7, c_read_h_shared)) | (~m_memory_v_cmd(c_m, s7, c_idle)) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_idle))), inference(lemma,lemma(discharge,[]))).
% 50.92/33.60 tff(24603,plain,
% 50.92/33.60 (~m_main_v_CMD(s7, c_read_h_shared)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24602, 24573, 24545, 23598])).
% 50.92/33.60 tff(24604,assumption,(m_memory_v_CMD(c_m, s7, c_read_h_shared)), introduced(assumption)).
% 50.92/33.60 tff(24605,plain,
% 50.92/33.60 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s7, c_read_h_shared) | (~node1(s7)) | (~m_memory_v_CMD(c_m, s7, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s7, c_read_h_shared) | (~node1(s7)) | (~m_memory_v_CMD(c_m, s7, c_read_h_shared)))),
% 50.92/33.60 inference(rewrite,[status(thm)],[])).
% 50.92/33.60 tff(24606,plain,
% 50.92/33.60 (((~node1(s7)) | m_main_v_CMD(s7, c_read_h_shared) | (~m_memory_v_CMD(c_m, s7, c_read_h_shared))) <=> (m_main_v_CMD(s7, c_read_h_shared) | (~node1(s7)) | (~m_memory_v_CMD(c_m, s7, c_read_h_shared)))),
% 50.92/33.60 inference(rewrite,[status(thm)],[])).
% 50.92/33.60 tff(24607,plain,
% 50.92/33.60 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s7)) | m_main_v_CMD(s7, c_read_h_shared) | (~m_memory_v_CMD(c_m, s7, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s7, c_read_h_shared) | (~node1(s7)) | (~m_memory_v_CMD(c_m, s7, c_read_h_shared))))),
% 50.92/33.60 inference(monotonicity,[status(thm)],[24606])).
% 50.92/33.60 tff(24608,plain,
% 50.92/33.60 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s7)) | m_main_v_CMD(s7, c_read_h_shared) | (~m_memory_v_CMD(c_m, s7, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s7, c_read_h_shared) | (~node1(s7)) | (~m_memory_v_CMD(c_m, s7, c_read_h_shared)))),
% 50.92/33.60 inference(transitivity,[status(thm)],[24607, 24605])).
% 50.92/33.60 tff(24609,plain,
% 50.92/33.60 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s7)) | m_main_v_CMD(s7, c_read_h_shared) | (~m_memory_v_CMD(c_m, s7, c_read_h_shared)))),
% 50.92/33.60 inference(quant_inst,[status(thm)],[])).
% 50.92/33.60 tff(24610,plain,
% 50.92/33.60 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s7, c_read_h_shared) | (~node1(s7)) | (~m_memory_v_CMD(c_m, s7, c_read_h_shared))),
% 50.92/33.60 inference(modus_ponens,[status(thm)],[24609, 24608])).
% 50.92/33.60 tff(24611,plain,
% 50.92/33.60 ($false),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24610, 4693, 15370, 13194, 24604])).
% 50.92/33.60 tff(24612,plain,((~m_memory_v_CMD(c_m, s7, c_read_h_shared)) | m_main_v_CMD(s7, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.60 tff(24613,plain,
% 50.92/33.60 (~m_memory_v_CMD(c_m, s7, c_read_h_shared)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24612, 24603])).
% 50.92/33.60 tff(24614,assumption,(m_memory_v_abort(c_m, s7)), introduced(assumption)).
% 50.92/33.60 tff(24615,assumption,(~m_memory_v_REPLY_h_STALL(c_m, s7)), introduced(assumption)).
% 50.92/33.60 tff(24616,assumption,(~m_memory_v_CMD(c_m, s7, c_read_h_shared)), introduced(assumption)).
% 50.92/33.60 tff(24617,assumption,(node28(c_m, s7)), introduced(assumption)).
% 50.92/33.60 tff(24618,plain,
% 50.92/33.60 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | (m_memory_v_CMD(c_m, s7, c_read_h_owned) | m_memory_v_CMD(c_m, s7, c_read_h_shared) | (~node28(c_m, s7)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | m_memory_v_CMD(c_m, s7, c_read_h_owned) | m_memory_v_CMD(c_m, s7, c_read_h_shared) | (~node28(c_m, s7)))),
% 50.92/33.60 inference(rewrite,[status(thm)],[])).
% 50.92/33.60 tff(24619,plain,
% 50.92/33.60 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | (m_memory_v_CMD(c_m, s7, c_read_h_owned) | m_memory_v_CMD(c_m, s7, c_read_h_shared) | (~node28(c_m, s7)))),
% 50.92/33.60 inference(quant_inst,[status(thm)],[])).
% 50.92/33.60 tff(24620,plain,
% 50.92/33.60 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | m_memory_v_CMD(c_m, s7, c_read_h_owned) | m_memory_v_CMD(c_m, s7, c_read_h_shared) | (~node28(c_m, s7))),
% 50.92/33.60 inference(modus_ponens,[status(thm)],[24619, 24618])).
% 50.92/33.60 tff(24621,plain,
% 50.92/33.60 ($false),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24620, 4717, 15366, 24616, 24617])).
% 50.92/33.60 tff(24622,plain,((~node28(c_m, s7)) | m_memory_v_CMD(c_m, s7, c_read_h_owned) | m_memory_v_CMD(c_m, s7, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 50.92/33.60 tff(24623,plain,
% 50.92/33.60 (~node28(c_m, s7)),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24622, 15366, 24616])).
% 50.92/33.60 tff(24624,assumption,(node27(c_m, s7)), introduced(assumption)).
% 50.92/33.60 tff(24625,plain,
% 50.92/33.60 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | ((~node27(c_m, s7)) | m_memory_v_CMD(c_m, s7, c_read_h_owned) | m_memory_v_CMD(c_m, s7, c_read_h_shared))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (~node27(c_m, s7)) | m_memory_v_CMD(c_m, s7, c_read_h_owned) | m_memory_v_CMD(c_m, s7, c_read_h_shared))),
% 50.92/33.60 inference(rewrite,[status(thm)],[])).
% 50.92/33.60 tff(24626,plain,
% 50.92/33.60 ((m_memory_v_CMD(c_m, s7, c_read_h_owned) | m_memory_v_CMD(c_m, s7, c_read_h_shared) | (~node27(c_m, s7))) <=> ((~node27(c_m, s7)) | m_memory_v_CMD(c_m, s7, c_read_h_owned) | m_memory_v_CMD(c_m, s7, c_read_h_shared))),
% 50.92/33.60 inference(rewrite,[status(thm)],[])).
% 50.92/33.60 tff(24627,plain,
% 50.92/33.60 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (m_memory_v_CMD(c_m, s7, c_read_h_owned) | m_memory_v_CMD(c_m, s7, c_read_h_shared) | (~node27(c_m, s7)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | ((~node27(c_m, s7)) | m_memory_v_CMD(c_m, s7, c_read_h_owned) | m_memory_v_CMD(c_m, s7, c_read_h_shared)))),
% 50.92/33.60 inference(monotonicity,[status(thm)],[24626])).
% 50.92/33.60 tff(24628,plain,
% 50.92/33.60 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (m_memory_v_CMD(c_m, s7, c_read_h_owned) | m_memory_v_CMD(c_m, s7, c_read_h_shared) | (~node27(c_m, s7)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (~node27(c_m, s7)) | m_memory_v_CMD(c_m, s7, c_read_h_owned) | m_memory_v_CMD(c_m, s7, c_read_h_shared))),
% 50.92/33.60 inference(transitivity,[status(thm)],[24627, 24625])).
% 50.92/33.60 tff(24629,plain,
% 50.92/33.60 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (m_memory_v_CMD(c_m, s7, c_read_h_owned) | m_memory_v_CMD(c_m, s7, c_read_h_shared) | (~node27(c_m, s7)))),
% 50.92/33.60 inference(quant_inst,[status(thm)],[])).
% 50.92/33.60 tff(24630,plain,
% 50.92/33.60 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (~node27(c_m, s7)) | m_memory_v_CMD(c_m, s7, c_read_h_owned) | m_memory_v_CMD(c_m, s7, c_read_h_shared)),
% 50.92/33.60 inference(modus_ponens,[status(thm)],[24629, 24628])).
% 50.92/33.60 tff(24631,plain,
% 50.92/33.60 ($false),
% 50.92/33.60 inference(unit_resolution,[status(thm)],[24630, 4738, 15366, 24616, 24624])).
% 50.92/33.60 tff(24632,plain,((~node27(c_m, s7)) | m_memory_v_CMD(c_m, s7, c_read_h_owned) | m_memory_v_CMD(c_m, s7, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.61 tff(24633,plain,
% 51.00/33.61 (~node27(c_m, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24632, 15366, 24616])).
% 51.00/33.61 tff(24634,assumption,(~node27(c_m, s7)), introduced(assumption)).
% 51.00/33.61 tff(24635,assumption,(~node28(c_m, s7)), introduced(assumption)).
% 51.00/33.61 tff(24636,plain,
% 51.00/33.61 (((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | ((~m_memory_v_abort(c_m, s7)) | m_memory_v_REPLY_h_STALL(c_m, s7) | node27(c_m, s7) | node28(c_m, s7))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | (~m_memory_v_abort(c_m, s7)) | m_memory_v_REPLY_h_STALL(c_m, s7) | node27(c_m, s7) | node28(c_m, s7))),
% 51.00/33.61 inference(rewrite,[status(thm)],[])).
% 51.00/33.61 tff(24637,plain,
% 51.00/33.61 ((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | ((~m_memory_v_abort(c_m, s7)) | m_memory_v_REPLY_h_STALL(c_m, s7) | node27(c_m, s7) | node28(c_m, s7))),
% 51.00/33.61 inference(quant_inst,[status(thm)],[])).
% 51.00/33.61 tff(24638,plain,
% 51.00/33.61 ((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | (~m_memory_v_abort(c_m, s7)) | m_memory_v_REPLY_h_STALL(c_m, s7) | node27(c_m, s7) | node28(c_m, s7)),
% 51.00/33.61 inference(modus_ponens,[status(thm)],[24637, 24636])).
% 51.00/33.61 tff(24639,plain,
% 51.00/33.61 ($false),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24638, 4643, 24615, 24635, 24614, 24634])).
% 51.00/33.61 tff(24640,plain,((~m_memory_v_abort(c_m, s7)) | m_memory_v_REPLY_h_STALL(c_m, s7) | node28(c_m, s7) | node27(c_m, s7)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.61 tff(24641,plain,
% 51.00/33.61 ($false),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24640, 24633, 24623, 24615, 24614])).
% 51.00/33.61 tff(24642,plain,(m_memory_v_CMD(c_m, s7, c_read_h_owned) | m_memory_v_REPLY_h_STALL(c_m, s7) | (~m_memory_v_abort(c_m, s7)) | m_memory_v_CMD(c_m, s7, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.61 tff(24643,plain,
% 51.00/33.61 (~m_memory_v_abort(c_m, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24642, 24613, 24542, 24533])).
% 51.00/33.61 tff(24644,assumption,(node21(c_m, s7)), introduced(assumption)).
% 51.00/33.61 tff(24645,plain,
% 51.00/33.61 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | (m_memory_v_CMD(c_m, s7, c_read_h_owned) | m_memory_v_CMD(c_m, s7, c_read_h_shared) | (~node21(c_m, s7)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | m_memory_v_CMD(c_m, s7, c_read_h_owned) | m_memory_v_CMD(c_m, s7, c_read_h_shared) | (~node21(c_m, s7)))),
% 51.00/33.61 inference(rewrite,[status(thm)],[])).
% 51.00/33.61 tff(24646,plain,
% 51.00/33.61 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | (m_memory_v_CMD(c_m, s7, c_read_h_owned) | m_memory_v_CMD(c_m, s7, c_read_h_shared) | (~node21(c_m, s7)))),
% 51.00/33.61 inference(quant_inst,[status(thm)],[])).
% 51.00/33.61 tff(24647,plain,
% 51.00/33.61 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | m_memory_v_CMD(c_m, s7, c_read_h_owned) | m_memory_v_CMD(c_m, s7, c_read_h_shared) | (~node21(c_m, s7))),
% 51.00/33.61 inference(modus_ponens,[status(thm)],[24646, 24645])).
% 51.00/33.61 tff(24648,plain,
% 51.00/33.61 ($false),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24647, 7430, 15366, 24616, 24644])).
% 51.00/33.61 tff(24649,plain,((~node21(c_m, s7)) | m_memory_v_CMD(c_m, s7, c_read_h_owned) | m_memory_v_CMD(c_m, s7, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.61 tff(24650,plain,
% 51.00/33.61 (~node21(c_m, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24649, 24613, 24533])).
% 51.00/33.61 tff(24651,assumption,(m_memory_v_busy(c_m, s8)), introduced(assumption)).
% 51.00/33.61 tff(24652,assumption,(node22(c_m, s7, s8)), introduced(assumption)).
% 51.00/33.61 tff(24653,plain,
% 51.00/33.61 (((~![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))) | (m_memory_v_busy(c_m, s7) | (~m_memory_v_busy(c_m, s8)) | (~node22(c_m, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))) | m_memory_v_busy(c_m, s7) | (~m_memory_v_busy(c_m, s8)) | (~node22(c_m, s7, s8)))),
% 51.00/33.61 inference(rewrite,[status(thm)],[])).
% 51.00/33.61 tff(24654,plain,
% 51.00/33.61 ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))) | (m_memory_v_busy(c_m, s7) | (~m_memory_v_busy(c_m, s8)) | (~node22(c_m, s7, s8)))),
% 51.00/33.61 inference(quant_inst,[status(thm)],[])).
% 51.00/33.61 tff(24655,plain,
% 51.00/33.61 ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))) | m_memory_v_busy(c_m, s7) | (~m_memory_v_busy(c_m, s8)) | (~node22(c_m, s7, s8))),
% 51.00/33.61 inference(modus_ponens,[status(thm)],[24654, 24653])).
% 51.00/33.61 tff(24656,plain,
% 51.00/33.61 ($false),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24655, 10374, 24390, 24652, 24651])).
% 51.00/33.61 tff(24657,plain,((~node22(c_m, s7, s8)) | m_memory_v_busy(c_m, s7) | (~m_memory_v_busy(c_m, s8))), inference(lemma,lemma(discharge,[]))).
% 51.00/33.61 tff(24658,plain,
% 51.00/33.61 (~node22(c_m, s7, s8)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24657, 24571, 24499])).
% 51.00/33.61 tff(24659,plain,
% 51.00/33.61 (((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | ((~node23(c_m, s7, s8)) | node22(c_m, s7, s8) | node19(c_m, s7) | m_memory_v_abort(c_m, s7) | node21(c_m, s7))) <=> ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (~node23(c_m, s7, s8)) | node22(c_m, s7, s8) | node19(c_m, s7) | m_memory_v_abort(c_m, s7) | node21(c_m, s7))),
% 51.00/33.61 inference(rewrite,[status(thm)],[])).
% 51.00/33.61 tff(24660,plain,
% 51.00/33.61 ((node19(c_m, s7) | node21(c_m, s7) | node22(c_m, s7, s8) | (~node23(c_m, s7, s8)) | m_memory_v_abort(c_m, s7)) <=> ((~node23(c_m, s7, s8)) | node22(c_m, s7, s8) | node19(c_m, s7) | m_memory_v_abort(c_m, s7) | node21(c_m, s7))),
% 51.00/33.61 inference(rewrite,[status(thm)],[])).
% 51.00/33.61 tff(24661,plain,
% 51.00/33.61 (((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (node19(c_m, s7) | node21(c_m, s7) | node22(c_m, s7, s8) | (~node23(c_m, s7, s8)) | m_memory_v_abort(c_m, s7))) <=> ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | ((~node23(c_m, s7, s8)) | node22(c_m, s7, s8) | node19(c_m, s7) | m_memory_v_abort(c_m, s7) | node21(c_m, s7)))),
% 51.00/33.61 inference(monotonicity,[status(thm)],[24660])).
% 51.00/33.61 tff(24662,plain,
% 51.00/33.61 (((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (node19(c_m, s7) | node21(c_m, s7) | node22(c_m, s7, s8) | (~node23(c_m, s7, s8)) | m_memory_v_abort(c_m, s7))) <=> ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (~node23(c_m, s7, s8)) | node22(c_m, s7, s8) | node19(c_m, s7) | m_memory_v_abort(c_m, s7) | node21(c_m, s7))),
% 51.00/33.61 inference(transitivity,[status(thm)],[24661, 24659])).
% 51.00/33.61 tff(24663,plain,
% 51.00/33.61 ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (node19(c_m, s7) | node21(c_m, s7) | node22(c_m, s7, s8) | (~node23(c_m, s7, s8)) | m_memory_v_abort(c_m, s7))),
% 51.00/33.61 inference(quant_inst,[status(thm)],[])).
% 51.00/33.61 tff(24664,plain,
% 51.00/33.61 ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (~node23(c_m, s7, s8)) | node22(c_m, s7, s8) | node19(c_m, s7) | m_memory_v_abort(c_m, s7) | node21(c_m, s7)),
% 51.00/33.61 inference(modus_ponens,[status(thm)],[24663, 24662])).
% 51.00/33.61 tff(24665,plain,
% 51.00/33.61 (node22(c_m, s7, s8) | node19(c_m, s7) | m_memory_v_abort(c_m, s7) | node21(c_m, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24664, 7365, 15408])).
% 51.00/33.61 tff(24666,plain,
% 51.00/33.61 (node19(c_m, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24665, 24658, 24643, 24650])).
% 51.00/33.61 tff(24667,assumption,(node19(c_m, s7)), introduced(assumption)).
% 51.00/33.61 tff(24668,plain,
% 51.00/33.61 (((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | (m_memory_v_master(c_m, s7) | (~node19(c_m, s7)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | m_memory_v_master(c_m, s7) | (~node19(c_m, s7)))),
% 51.00/33.61 inference(rewrite,[status(thm)],[])).
% 51.00/33.61 tff(24669,plain,
% 51.00/33.61 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | (m_memory_v_master(c_m, s7) | (~node19(c_m, s7)))),
% 51.00/33.61 inference(quant_inst,[status(thm)],[])).
% 51.00/33.61 tff(24670,plain,
% 51.00/33.61 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | m_memory_v_master(c_m, s7) | (~node19(c_m, s7))),
% 51.00/33.61 inference(modus_ponens,[status(thm)],[24669, 24668])).
% 51.00/33.61 tff(24671,plain,
% 51.00/33.61 ($false),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24670, 4477, 13212, 24667])).
% 51.00/33.61 tff(24672,plain,((~node19(c_m, s7)) | m_memory_v_master(c_m, s7)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.61 tff(24673,plain,
% 51.00/33.61 (m_memory_v_master(c_m, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24672, 24666])).
% 51.00/33.61 tff(24674,plain,
% 51.00/33.61 (((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~node23(c_m, s7, s8)) | (~m_memory_v_master(c_m, s7)) | (~m_memory_v_CMD(c_m, s7, c_response)) | (~m_memory_v_busy(c_m, s8)) | m_memory_v_abort(c_m, s7))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | (~node23(c_m, s7, s8)) | (~m_memory_v_master(c_m, s7)) | (~m_memory_v_CMD(c_m, s7, c_response)) | (~m_memory_v_busy(c_m, s8)) | m_memory_v_abort(c_m, s7))),
% 51.00/33.61 inference(rewrite,[status(thm)],[])).
% 51.00/33.61 tff(24675,plain,
% 51.00/33.61 (((~m_memory_v_busy(c_m, s8)) | (~m_memory_v_master(c_m, s7)) | (~node23(c_m, s7, s8)) | m_memory_v_abort(c_m, s7) | (~m_memory_v_CMD(c_m, s7, c_response))) <=> ((~node23(c_m, s7, s8)) | (~m_memory_v_master(c_m, s7)) | (~m_memory_v_CMD(c_m, s7, c_response)) | (~m_memory_v_busy(c_m, s8)) | m_memory_v_abort(c_m, s7))),
% 51.00/33.61 inference(rewrite,[status(thm)],[])).
% 51.00/33.61 tff(24676,plain,
% 51.00/33.61 (((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~m_memory_v_busy(c_m, s8)) | (~m_memory_v_master(c_m, s7)) | (~node23(c_m, s7, s8)) | m_memory_v_abort(c_m, s7) | (~m_memory_v_CMD(c_m, s7, c_response)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~node23(c_m, s7, s8)) | (~m_memory_v_master(c_m, s7)) | (~m_memory_v_CMD(c_m, s7, c_response)) | (~m_memory_v_busy(c_m, s8)) | m_memory_v_abort(c_m, s7)))),
% 51.00/33.61 inference(monotonicity,[status(thm)],[24675])).
% 51.00/33.61 tff(24677,plain,
% 51.00/33.61 (((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~m_memory_v_busy(c_m, s8)) | (~m_memory_v_master(c_m, s7)) | (~node23(c_m, s7, s8)) | m_memory_v_abort(c_m, s7) | (~m_memory_v_CMD(c_m, s7, c_response)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | (~node23(c_m, s7, s8)) | (~m_memory_v_master(c_m, s7)) | (~m_memory_v_CMD(c_m, s7, c_response)) | (~m_memory_v_busy(c_m, s8)) | m_memory_v_abort(c_m, s7))),
% 51.00/33.61 inference(transitivity,[status(thm)],[24676, 24674])).
% 51.00/33.61 tff(24678,plain,
% 51.00/33.61 ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~m_memory_v_busy(c_m, s8)) | (~m_memory_v_master(c_m, s7)) | (~node23(c_m, s7, s8)) | m_memory_v_abort(c_m, s7) | (~m_memory_v_CMD(c_m, s7, c_response)))),
% 51.00/33.61 inference(quant_inst,[status(thm)],[])).
% 51.00/33.61 tff(24679,plain,
% 51.00/33.61 ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | (~node23(c_m, s7, s8)) | (~m_memory_v_master(c_m, s7)) | (~m_memory_v_CMD(c_m, s7, c_response)) | (~m_memory_v_busy(c_m, s8)) | m_memory_v_abort(c_m, s7)),
% 51.00/33.61 inference(modus_ponens,[status(thm)],[24678, 24677])).
% 51.00/33.61 tff(24680,plain,
% 51.00/33.61 ((~m_memory_v_master(c_m, s7)) | (~m_memory_v_CMD(c_m, s7, c_response)) | (~m_memory_v_busy(c_m, s8)) | m_memory_v_abort(c_m, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24679, 10436, 15408])).
% 51.00/33.61 tff(24681,plain,
% 51.00/33.61 (~m_memory_v_CMD(c_m, s7, c_response)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24680, 24673, 24643, 24499])).
% 51.00/33.61 tff(24682,plain,
% 51.00/33.61 (((~![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))) | ((~node19(c_m, s7)) | m_memory_v_CMD(c_m, s7, c_response))) <=> ((~![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))) | (~node19(c_m, s7)) | m_memory_v_CMD(c_m, s7, c_response))),
% 51.00/33.61 inference(rewrite,[status(thm)],[])).
% 51.00/33.61 tff(24683,plain,
% 51.00/33.61 ((~![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))) | ((~node19(c_m, s7)) | m_memory_v_CMD(c_m, s7, c_response))),
% 51.00/33.61 inference(quant_inst,[status(thm)],[])).
% 51.00/33.61 tff(24684,plain,
% 51.00/33.61 ((~![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))) | (~node19(c_m, s7)) | m_memory_v_CMD(c_m, s7, c_response)),
% 51.00/33.61 inference(modus_ponens,[status(thm)],[24683, 24682])).
% 51.00/33.61 tff(24685,plain,
% 51.00/33.61 ($false),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24684, 10075, 24666, 24681])).
% 51.00/33.61 tff(24686,plain,(m_processor_v_master(c_p0, s7) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_waiting(c_p1, s9) | m_processor_v_waiting(c_p0, s9) | (~m_memory_v_REPLY_h_OWNED(c_m, s6)) | (~node52(c_p0, s7, s8)) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | m_processor_v_abort(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.61 tff(24687,plain,
% 51.00/33.61 (m_processor_v_master(c_p0, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24686, 23610, 13022, 6288, 6289, 6290, 14758, 24283, 14759, 13435, 5, 14207, 14439])).
% 51.00/33.61 tff(24688,plain,
% 51.00/33.61 (~m_processor_v_master(c_p1, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[13229, 794, 24687])).
% 51.00/33.61 tff(24689,plain,
% 51.00/33.61 (m_processor_v_reply_h_owned(c_p1, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15344, 24688, 13435])).
% 51.00/33.61 tff(24690,plain,
% 51.00/33.61 (~node5(s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15348, 10333, 24689])).
% 51.00/33.61 tff(24691,plain,
% 51.00/33.61 (m_main_v_REPLY_h_OWNED(s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15356, 24690])).
% 51.00/33.61 tff(24692,plain,
% 51.00/33.61 (m_memory_v_REPLY_h_OWNED(c_m, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15364, 24691])).
% 51.00/33.61 tff(24693,plain,
% 51.00/33.61 (node34(c_p0, s7, s8)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15199, 14621, 14439])).
% 51.00/33.61 tff(24694,plain,
% 51.00/33.61 (~m_processor_v_master(c_p1, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[13229, 794, 14621])).
% 51.00/33.61 tff(24695,plain,
% 51.00/33.61 (m_processor_v_cmd(c_p1, s7, c_idle)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[14619, 24694])).
% 51.00/33.61 tff(24696,plain,
% 51.00/33.61 (node8(s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[14647, 24695, 14621])).
% 51.00/33.61 tff(24697,plain,
% 51.00/33.61 (~m_processor_v_cmd(c_p0, s7, c_read_h_owned)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[14690, 13193, 24696])).
% 51.00/33.61 tff(24698,plain,
% 51.00/33.61 (~m_processor_v_state(c_p0, s7, c_invalid)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15311, 3, 14759, 14758, 13193])).
% 51.00/33.61 tff(24699,plain,
% 51.00/33.61 (m_processor_v_state(c_p0, s7, c_shared)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[2473, 24698, 3])).
% 51.00/33.61 tff(24700,plain,
% 51.00/33.61 (node62(c_p0, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[14709, 24699, 24697])).
% 51.00/33.61 tff(24701,plain,
% 51.00/33.61 ($false),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[14713, 1633, 24698, 24700])).
% 51.00/33.61 tff(24702,plain,(m_processor_v_state(c_p0, s7, c_owned) | (~m_processor_v_master(c_p0, s7)) | (~m_processor_v_state(c_p0, s9, c_owned)) | m_processor_v_waiting(c_p0, s9) | m_main_v_CMD(s7, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.61 tff(24703,plain,
% 51.00/33.61 (m_processor_v_state(c_p0, s7, c_owned)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24702, 13193, 14759, 14758, 14621])).
% 51.00/33.61 tff(24704,plain,
% 51.00/33.61 (m_main_v_CMD(s6, c_read_h_owned)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[16359, 24703, 5, 14207])).
% 51.00/33.61 tff(24705,plain,
% 51.00/33.61 (m_memory_v_CMD(c_m, s6, c_read_h_owned)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24272, 24704])).
% 51.00/33.61 tff(24706,plain,
% 51.00/33.61 (~node25(c_m, s6)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24280, 24705])).
% 51.00/33.61 tff(24707,plain,
% 51.00/33.61 (~node26(c_m, s6)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24289, 24706, 24283])).
% 51.00/33.61 tff(24708,plain,
% 51.00/33.61 (m_memory_v_abort(c_m, s6)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24297, 24707])).
% 51.00/33.61 tff(24709,plain,
% 51.00/33.61 (node18(c_m, s6, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24309, 24708])).
% 51.00/33.61 tff(24710,plain,
% 51.00/33.61 (~node30(c_m, s6)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24554, 24705])).
% 51.00/33.61 tff(24711,plain,
% 51.00/33.61 (~node32(c_p0, s6, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[2543, 24703, 5])).
% 51.00/33.61 tff(24712,plain,
% 51.00/33.61 (~m_processor_v_abort(c_p0, s6)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[2356, 24711])).
% 51.00/33.61 tff(24713,plain,
% 51.00/33.61 (node60(c_p0, s6)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[14205, 24712])).
% 51.00/33.61 tff(24714,plain,
% 51.00/33.61 (~m_processor_v_REPLY_h_STALL(c_p0, s6)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[16273, 24713])).
% 51.00/33.61 tff(24715,plain,
% 51.00/33.61 (~m_main_v_REPLY_h_STALL(s6)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[16281, 24714])).
% 51.00/33.61 tff(24716,plain,
% 51.00/33.61 (node7(s6)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24220, 24715])).
% 51.00/33.61 tff(24717,plain,
% 51.00/33.61 (~m_memory_v_reply_h_stall(c_m, s6)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24228, 24716])).
% 51.00/33.61 tff(24718,plain,
% 51.00/33.61 (~m_memory_v_busy(c_m, s6)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24569, 24717, 24710])).
% 51.00/33.61 tff(24719,plain,
% 51.00/33.61 (~m_memory_v_busy(c_m, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24399, 10278, 24718, 24709])).
% 51.00/33.61 tff(24720,plain,
% 51.00/33.61 (~m_memory_v_CMD(c_m, s7, c_read_h_owned)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24532, 13193])).
% 51.00/33.61 tff(24721,plain,
% 51.00/33.61 (m_processor_v_waiting(c_p0, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[2570, 24703, 5])).
% 51.00/33.61 tff(24722,plain,
% 51.00/33.61 (m_processor_v_waiting(c_p0, s8)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[23618, 24721, 23610])).
% 51.00/33.61 tff(24723,plain,
% 51.00/33.61 (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24495, 24722, 14758])).
% 51.00/33.61 tff(24724,plain,
% 51.00/33.61 (~m_main_v_CMD(s8, c_read_h_owned)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15519, 24723])).
% 51.00/33.61 tff(24725,plain,
% 51.00/33.61 (~m_processor_v_CMD(c_p0, s8, c_read_h_owned)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15523, 1612, 15085, 24724])).
% 51.00/33.61 tff(24726,plain,
% 51.00/33.61 (m_processor_v_state(c_p0, s8, c_owned)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15134, 24725, 14759])).
% 51.00/33.61 tff(24727,plain,
% 51.00/33.61 (~m_processor_v_state(c_p0, s8, c_shared)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[14436, 121, 24726])).
% 51.00/33.61 tff(24728,plain,
% 51.00/33.61 (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15238, 24727])).
% 51.00/33.61 tff(24729,plain,
% 51.00/33.61 (~m_main_v_CMD(s7, c_read_h_shared)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[14580, 24728])).
% 51.00/33.61 tff(24730,plain,
% 51.00/33.61 (~m_memory_v_CMD(c_m, s7, c_read_h_shared)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24612, 24729])).
% 51.00/33.61 tff(24731,plain,
% 51.00/33.61 (~node21(c_m, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24649, 24730, 24720])).
% 51.00/33.61 tff(24732,plain,
% 51.00/33.61 (~node19(c_m, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24672, 14633])).
% 51.00/33.61 tff(24733,plain,
% 51.00/33.61 (~m_memory_v_abort(c_m, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24642, 24730, 24615, 24720])).
% 51.00/33.61 tff(24734,plain,
% 51.00/33.61 (node22(c_m, s7, s8)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24665, 24733, 24732, 24731])).
% 51.00/33.61 tff(24735,plain,
% 51.00/33.61 (~m_memory_v_busy(c_m, s8)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24657, 24734, 24719])).
% 51.00/33.61 tff(24736,plain,
% 51.00/33.61 (~node52(c_p0, s8, s9)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15337, 24722, 14758])).
% 51.00/33.61 tff(24737,plain,
% 51.00/33.61 (~m_memory_v_cmd(c_m, s8, c_idle)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[16096, 24723, 14759, 13022, 6288, 6289, 24736, 6290, 14814, 14758])).
% 51.00/33.61 tff(24738,plain,
% 51.00/33.61 (node29(c_m, s8)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15489, 24737])).
% 51.00/33.61 tff(24739,plain,
% 51.00/33.61 ($false),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15481, 2072, 24738, 24735])).
% 51.00/33.61 tff(24740,plain,(m_main_v_CMD(s7, c_read_h_owned) | m_memory_v_REPLY_h_STALL(c_m, s7) | (~node34(c_p0, s7, s8)) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~m_memory_v_REPLY_h_OWNED(c_m, s6)) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_waiting(c_p1, s9) | m_processor_v_abort(c_p0, s8) | m_processor_v_waiting(c_p0, s9) | (~node52(c_p0, s7, s8)) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_master(c_p0, s7))), inference(lemma,lemma(discharge,[]))).
% 51.00/33.61 tff(24741,plain,
% 51.00/33.61 (m_main_v_CMD(s7, c_read_h_owned)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24740, 14814, 24693, 14759, 24283, 13022, 6288, 6289, 6290, 24542, 14758, 23610, 5, 14207, 14621])).
% 51.00/33.61 tff(24742,plain,
% 51.00/33.61 (m_memory_v_CMD(c_m, s7, c_read_h_owned)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15375, 24741])).
% 51.00/33.61 tff(24743,plain,
% 51.00/33.61 (~node25(c_m, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15386, 24742])).
% 51.00/33.61 tff(24744,plain,
% 51.00/33.61 (~node26(c_m, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15395, 24743, 15389])).
% 51.00/33.61 tff(24745,plain,
% 51.00/33.61 (m_memory_v_abort(c_m, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15403, 24744])).
% 51.00/33.61 tff(24746,plain,
% 51.00/33.61 (node18(c_m, s7, s8)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15415, 24745])).
% 51.00/33.61 tff(24747,plain,
% 51.00/33.61 (node7(s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15446, 24535])).
% 51.00/33.61 tff(24748,plain,
% 51.00/33.61 (~m_memory_v_reply_h_stall(c_m, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15454, 24747])).
% 51.00/33.61 tff(24749,plain,
% 51.00/33.61 (~node30(c_m, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15461, 24742])).
% 51.00/33.61 tff(24750,plain,
% 51.00/33.61 (~m_memory_v_busy(c_m, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15470, 24749, 24748])).
% 51.00/33.61 tff(24751,plain,
% 51.00/33.61 (~m_memory_v_busy(c_m, s8)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15477, 10278, 24750, 24746])).
% 51.00/33.61 tff(24752,plain,
% 51.00/33.61 (m_processor_v_CMD(c_p0, s7, c_read_h_owned)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[14680, 24741])).
% 51.00/33.61 tff(24753,plain,
% 51.00/33.61 (m_processor_v_waiting(c_p0, s8)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[14670, 24752, 14621, 14439, 23624])).
% 51.00/33.61 tff(24754,plain,
% 51.00/33.61 (~node52(c_p0, s8, s9)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15337, 24753, 14758])).
% 51.00/33.61 tff(24755,plain,
% 51.00/33.61 (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24495, 24753, 14758])).
% 51.00/33.61 tff(24756,plain,
% 51.00/33.61 (~m_memory_v_cmd(c_m, s8, c_idle)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[16096, 24755, 14759, 13022, 6288, 6289, 24754, 6290, 14814, 14758])).
% 51.00/33.61 tff(24757,plain,
% 51.00/33.61 (node29(c_m, s8)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15489, 24756])).
% 51.00/33.61 tff(24758,plain,
% 51.00/33.61 ($false),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15481, 2072, 24757, 24751])).
% 51.00/33.61 tff(24759,plain,(m_processor_v_abort(c_p0, s8) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_waiting(c_p1, s9) | m_processor_v_waiting(c_p0, s9) | (~m_memory_v_REPLY_h_OWNED(c_m, s7)) | (~m_processor_v_master(c_p0, s7)) | m_processor_v_abort(c_p0, s7) | node47(c_p0, s7) | (~m_memory_v_REPLY_h_OWNED(c_m, s6)) | (~node52(c_p0, s7, s8)) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_cmd(c_p1, s6, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.00/33.61 tff(24760,plain,
% 51.00/33.61 (m_processor_v_abort(c_p0, s8)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24759, 24692, 13022, 6288, 6289, 6290, 14758, 14759, 24687, 14439, 23624, 24283, 23610, 5, 14207])).
% 51.00/33.61 tff(24761,plain,
% 51.00/33.61 (node46(c_p0, s8, s9)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15507, 24760])).
% 51.00/33.61 tff(24762,plain,
% 51.00/33.61 (~m_processor_v_waiting(c_p0, s8)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15499, 24761, 14758])).
% 51.00/33.61 tff(24763,plain,
% 51.00/33.61 (~m_processor_v_waiting(c_p0, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[23618, 24762, 23610])).
% 51.00/33.61 tff(24764,plain,
% 51.00/33.61 (m_processor_v_cmd(c_p1, s7, c_idle)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[14619, 24688])).
% 51.00/33.61 tff(24765,plain,
% 51.00/33.61 (m_processor_v_state(c_p0, s7, c_owned)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15327, 24762, 24687, 14439, 24764])).
% 51.00/33.61 tff(24766,plain,
% 51.00/33.61 ($false),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[2570, 24765, 24763, 5])).
% 51.00/33.61 tff(24767,plain,((~node52(c_p0, s7, s8)) | m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_abort(c_p0, s7) | m_processor_v_waiting(c_p0, s9) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_waiting(c_p1, s9) | (~m_processor_v_state(c_p0, s9, c_owned)) | node47(c_p0, s7) | (~m_memory_v_REPLY_h_OWNED(c_m, s6)) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_state(c_p1, s7, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.00/33.61 tff(24768,plain,
% 51.00/33.61 (~node52(c_p0, s7, s8)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24767, 23624, 14439, 14758, 13022, 6288, 6289, 6290, 14759, 5, 24283, 14207, 13435])).
% 51.00/33.61 tff(24769,plain,
% 51.00/33.61 (~m_processor_v_master(c_p0, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[23801, 23760, 14439, 23759, 23624])).
% 51.00/33.61 tff(24770,plain,
% 51.00/33.61 (m_processor_v_cmd(c_p0, s7, c_idle)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[23597, 24769])).
% 51.00/33.61 tff(24771,plain,
% 51.00/33.61 (~m_processor_v_cmd(c_p0, s7, c_response)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[23806, 19905, 24770])).
% 51.00/33.61 tff(24772,plain,
% 51.00/33.61 (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24351, 24770, 15882, 13435, 13057, 24356])).
% 51.00/33.61 tff(24773,plain,
% 51.00/33.61 (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[23753, 24772])).
% 51.00/33.61 tff(24774,plain,
% 51.00/33.61 (~node50(c_p0, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[23757, 11598, 24773])).
% 51.00/33.61 tff(24775,plain,
% 51.00/33.61 (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[23810, 4285, 24770])).
% 51.00/33.61 tff(24776,plain,
% 51.00/33.61 (~node8(s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[23848, 24775, 23760, 14439, 23759, 23624, 24774, 24771])).
% 51.00/33.61 tff(24777,plain,
% 51.00/33.61 (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24522, 24769, 14439, 14758, 14759, 13022, 6289, 6288, 6290, 13435, 5])).
% 51.00/33.61 tff(24778,plain,
% 51.00/33.61 (~m_main_v_CMD(s7, c_read_h_owned)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[14680, 24777])).
% 51.00/33.61 tff(24779,plain,
% 51.00/33.61 (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[23577, 24778])).
% 51.00/33.61 tff(24780,plain,
% 51.00/33.61 (~m_processor_v_master(c_p1, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24158, 24779, 15882, 13435, 13057, 24770, 24356])).
% 51.00/33.61 tff(24781,plain,
% 51.00/33.61 (m_processor_v_cmd(c_p1, s7, c_idle)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[14619, 24780])).
% 51.00/33.61 tff(24782,plain,
% 51.00/33.61 (m_processor_v_state(c_p0, s8, c_owned)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[18128, 24769, 14758, 14759])).
% 51.00/33.61 tff(24783,plain,
% 51.00/33.61 (m_processor_v_state(c_p0, s7, c_owned)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[14544, 24782, 24769])).
% 51.00/33.61 tff(24784,plain,
% 51.00/33.61 (m_main_v_CMD(s6, c_read_h_owned)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[16359, 24783, 5, 14207])).
% 51.00/33.61 tff(24785,plain,
% 51.00/33.61 (m_memory_v_CMD(c_m, s6, c_read_h_owned)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24272, 24784])).
% 51.00/33.61 tff(24786,plain,
% 51.00/33.61 (~node30(c_m, s6)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24554, 24785])).
% 51.00/33.61 tff(24787,plain,
% 51.00/33.61 (~m_processor_v_state(c_p0, s8, c_invalid)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[14429, 24782])).
% 51.00/33.61 tff(24788,plain,
% 51.00/33.61 (~m_processor_v_state(c_p0, s7, c_invalid)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[14541, 24787, 24769])).
% 51.00/33.61 tff(24789,plain,
% 51.00/33.61 (~m_processor_v_state(c_p0, s7, c_shared)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[14501, 24782, 24769])).
% 51.00/33.61 tff(24790,plain,
% 51.00/33.61 (~m_processor_v_abort(c_p1, s6)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[16310, 24789, 5, 24788])).
% 51.00/33.61 tff(24791,plain,
% 51.00/33.61 (node60(c_p1, s6)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[18324, 24790])).
% 51.00/33.61 tff(24792,plain,
% 51.00/33.61 (~m_processor_v_REPLY_h_STALL(c_p1, s6)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[18350, 24791])).
% 51.00/33.61 tff(24793,plain,
% 51.00/33.61 (~m_main_v_REPLY_h_STALL(s6)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[18356, 24792])).
% 51.00/33.61 tff(24794,plain,
% 51.00/33.61 (node7(s6)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24220, 24793])).
% 51.00/33.61 tff(24795,plain,
% 51.00/33.61 (~m_memory_v_reply_h_stall(c_m, s6)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24228, 24794])).
% 51.00/33.61 tff(24796,plain,
% 51.00/33.61 (~m_memory_v_busy(c_m, s6)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24569, 24795, 24786])).
% 51.00/33.61 tff(24797,plain,
% 51.00/33.61 (~node25(c_m, s6)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24280, 24785])).
% 51.00/33.61 tff(24798,plain,
% 51.00/33.61 (~node26(c_m, s6)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24289, 24797, 24283])).
% 51.00/33.61 tff(24799,plain,
% 51.00/33.61 (m_memory_v_abort(c_m, s6)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24297, 24798])).
% 51.00/33.61 tff(24800,plain,
% 51.00/33.61 (node18(c_m, s6, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24309, 24799])).
% 51.00/33.61 tff(24801,plain,
% 51.00/33.61 (m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s7))),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24399, 10278, 24800])).
% 51.00/33.61 tff(24802,plain,
% 51.00/33.61 (~m_memory_v_busy(c_m, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24801, 24796])).
% 51.00/33.61 tff(24803,plain,
% 51.00/33.61 (~node29(c_m, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24392, 24802])).
% 51.00/33.61 tff(24804,plain,
% 51.00/33.61 (m_memory_v_cmd(c_m, s7, c_idle)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[13225, 24803])).
% 51.00/33.61 tff(24805,plain,
% 51.00/33.61 (node12(s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[23904, 24804, 24781, 24776, 24770])).
% 51.00/33.61 tff(24806,plain,
% 51.00/33.61 (m_main_v_CMD(s7, c_response)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24371, 24770, 15882, 13057, 13435, 23759, 14439, 23760, 23624])).
% 51.00/33.61 tff(24807,plain,
% 51.00/33.61 ($false),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[23932, 3644, 24806, 24805, 24771])).
% 51.00/33.61 tff(24808,plain,(node52(c_p0, s7, s8) | (~m_memory_v_REPLY_h_OWNED(c_m, s6)) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | m_processor_v_waiting(c_p0, s9) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_abort(c_p0, s7) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_waiting(c_p1, s9) | node48(c_p0, s7) | node47(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.61 tff(24809,plain,
% 51.00/33.61 (node48(c_p0, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24808, 24768, 5, 14207, 14758, 14759, 13435, 14439, 13022, 6289, 6288, 6290, 24283, 23624])).
% 51.00/33.61 tff(24810,plain,
% 51.00/33.61 (m_processor_v_CMD(c_p0, s7, c_read_h_owned)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24328, 24809])).
% 51.00/33.61 tff(24811,plain,
% 51.00/33.61 (m_main_v_CMD(s7, c_read_h_owned)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15171, 24810])).
% 51.00/33.61 tff(24812,plain,
% 51.00/33.61 (m_memory_v_CMD(c_m, s7, c_read_h_owned)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15375, 24811])).
% 51.00/33.61 tff(24813,plain,
% 51.00/33.61 (~node25(c_m, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15386, 24812])).
% 51.00/33.61 tff(24814,plain,
% 51.00/33.61 (m_processor_v_master(c_p0, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[24522, 24810, 14439, 14758, 14759, 13022, 6289, 6288, 6290, 13435, 5])).
% 51.00/33.61 tff(24815,plain,
% 51.00/33.61 (~m_processor_v_master(c_p1, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[13229, 794, 24814])).
% 51.00/33.61 tff(24816,plain,
% 51.00/33.61 (m_processor_v_reply_h_owned(c_p1, s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15344, 24815, 13435])).
% 51.00/33.61 tff(24817,plain,
% 51.00/33.61 (~node5(s7)),
% 51.00/33.61 inference(unit_resolution,[status(thm)],[15348, 10333, 24816])).
% 51.00/33.61 tff(24818,plain,
% 51.00/33.61 (m_main_v_REPLY_h_OWNED(s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15356, 24817])).
% 51.00/33.62 tff(24819,plain,
% 51.00/33.62 (m_memory_v_REPLY_h_OWNED(c_m, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15364, 24818])).
% 51.00/33.62 tff(24820,plain,
% 51.00/33.62 (~node26(c_m, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15395, 24819, 24813])).
% 51.00/33.62 tff(24821,plain,
% 51.00/33.62 (m_memory_v_abort(c_m, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15403, 24820])).
% 51.00/33.62 tff(24822,plain,
% 51.00/33.62 (node18(c_m, s7, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15415, 24821])).
% 51.00/33.62 tff(24823,plain,
% 51.00/33.62 (~node30(c_m, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15461, 24812])).
% 51.00/33.62 tff(24824,plain,
% 51.00/33.62 (~m_memory_v_busy(c_m, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15470, 24823, 24748])).
% 51.00/33.62 tff(24825,plain,
% 51.00/33.62 (~m_memory_v_busy(c_m, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15477, 10278, 24824, 24822])).
% 51.00/33.62 tff(24826,plain,
% 51.00/33.62 (m_processor_v_waiting(c_p0, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24330, 24814, 14439, 24768])).
% 51.00/33.62 tff(24827,plain,
% 51.00/33.62 (~node46(c_p0, s8, s9)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15499, 24826, 14758])).
% 51.00/33.62 tff(24828,plain,
% 51.00/33.62 (~m_processor_v_abort(c_p0, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15507, 24827])).
% 51.00/33.62 tff(24829,plain,
% 51.00/33.62 (~node52(c_p0, s8, s9)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15337, 24826, 14758])).
% 51.00/33.62 tff(24830,plain,
% 51.00/33.62 (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24495, 24826, 14758])).
% 51.00/33.62 tff(24831,plain,
% 51.00/33.62 (~m_memory_v_cmd(c_m, s8, c_idle)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[16096, 24830, 14759, 13022, 6288, 6289, 24829, 6290, 24828, 14758])).
% 51.00/33.62 tff(24832,plain,
% 51.00/33.62 (node29(c_m, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15489, 24831])).
% 51.00/33.62 tff(24833,plain,
% 51.00/33.62 ($false),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15481, 2072, 24832, 24825])).
% 51.00/33.62 tff(24834,plain,(node47(c_p0, s7) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_waiting(c_p1, s9) | m_processor_v_waiting(c_p0, s9) | m_processor_v_abort(c_p0, s7) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_memory_v_REPLY_h_OWNED(c_m, s6))), inference(lemma,lemma(discharge,[]))).
% 51.00/33.62 tff(24835,plain,
% 51.00/33.62 (node47(c_p0, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24834, 14439, 14759, 13022, 6288, 6289, 6290, 14758, 13435, 5, 14207, 24283])).
% 51.00/33.62 tff(24836,plain,
% 51.00/33.62 (m_processor_v_waiting(c_p0, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24319, 24835, 14439])).
% 51.00/33.62 tff(24837,plain,
% 51.00/33.62 (~node46(c_p0, s8, s9)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15499, 24836, 14758])).
% 51.00/33.62 tff(24838,plain,
% 51.00/33.62 (~m_processor_v_abort(c_p0, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15507, 24837])).
% 51.00/33.62 tff(24839,plain,
% 51.00/33.62 (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24495, 24836, 14758])).
% 51.00/33.62 tff(24840,plain,
% 51.00/33.62 (~m_main_v_CMD(s8, c_read_h_owned)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15519, 24839])).
% 51.00/33.62 tff(24841,plain,
% 51.00/33.62 (~m_processor_v_CMD(c_p0, s8, c_read_h_owned)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15523, 1612, 15085, 24840])).
% 51.00/33.62 tff(24842,plain,
% 51.00/33.62 (m_processor_v_state(c_p0, s8, c_owned)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15134, 24841, 14759])).
% 51.00/33.62 tff(24843,plain,
% 51.00/33.62 (~m_processor_v_master(c_p0, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15747, 24841, 14767, 14771, 24842, 24838])).
% 51.00/33.62 tff(24844,plain,
% 51.00/33.62 (m_processor_v_CMD(c_p0, s7, c_read_h_shared)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[14662, 657, 24835])).
% 51.00/33.62 tff(24845,plain,
% 51.00/33.62 (m_processor_v_master(c_p0, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[23608, 12108, 24835])).
% 51.00/33.62 tff(24846,plain,
% 51.00/33.62 (node34(c_p0, s7, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15199, 24845, 14439])).
% 51.00/33.62 tff(24847,plain,
% 51.00/33.62 (m_processor_v_state(c_p0, s8, c_shared)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15206, 416, 24846, 24844])).
% 51.00/33.62 tff(24848,plain,
% 51.00/33.62 (node37(c_p0, s8, s9)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[14886, 24847, 14771, 14767, 24843])).
% 51.00/33.62 tff(24849,plain,
% 51.00/33.62 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s8, c_shared)) | (~node37(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s8, c_shared)) | (~node37(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_shared))),
% 51.00/33.62 inference(rewrite,[status(thm)],[])).
% 51.00/33.62 tff(24850,plain,
% 51.00/33.62 (((~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node37(c_p0, s8, s9))) <=> ((~m_processor_v_state(c_p0, s8, c_shared)) | (~node37(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_shared))),
% 51.00/33.62 inference(rewrite,[status(thm)],[])).
% 51.00/33.62 tff(24851,plain,
% 51.00/33.62 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node37(c_p0, s8, s9)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s8, c_shared)) | (~node37(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_shared)))),
% 51.00/33.62 inference(monotonicity,[status(thm)],[24850])).
% 51.00/33.62 tff(24852,plain,
% 51.00/33.62 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node37(c_p0, s8, s9)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s8, c_shared)) | (~node37(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_shared))),
% 51.00/33.62 inference(transitivity,[status(thm)],[24851, 24849])).
% 51.00/33.62 tff(24853,plain,
% 51.00/33.62 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s8, c_shared)) | m_processor_v_state(c_p0, s9, c_shared) | (~node37(c_p0, s8, s9)))),
% 51.00/33.62 inference(quant_inst,[status(thm)],[])).
% 51.00/33.62 tff(24854,plain,
% 51.00/33.62 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s8, c_shared)) | (~node37(c_p0, s8, s9)) | m_processor_v_state(c_p0, s9, c_shared)),
% 51.00/33.62 inference(modus_ponens,[status(thm)],[24853, 24852])).
% 51.00/33.62 tff(24855,plain,
% 51.00/33.62 ($false),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24854, 2411, 24847, 24848, 14767])).
% 51.00/33.62 tff(24856,plain,(m_processor_v_abort(c_p0, s7) | (~m_processor_v_state(c_p0, s9, c_owned)) | m_processor_v_waiting(c_p0, s9) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_waiting(c_p1, s9) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_memory_v_REPLY_h_OWNED(c_m, s6))), inference(lemma,lemma(discharge,[]))).
% 51.00/33.62 tff(24857,plain,
% 51.00/33.62 (m_processor_v_abort(c_p0, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24856, 24442, 24449, 24339, 24447, 24448, 24458, 24450, 5, 14157, 24457])).
% 51.00/33.62 tff(24858,plain,
% 51.00/33.62 (node32(c_p0, s7, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[14492, 24857])).
% 51.00/33.62 tff(24859,plain,
% 51.00/33.62 (node46(c_p0, s7, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[23457, 24857])).
% 51.00/33.62 tff(24860,plain,
% 51.00/33.62 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_master(c_p0, s7) | m_processor_v_reply_h_owned(c_p0, s7))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_master(c_p0, s7) | m_processor_v_reply_h_owned(c_p0, s7))),
% 51.00/33.62 inference(rewrite,[status(thm)],[])).
% 51.00/33.62 tff(24861,plain,
% 51.00/33.62 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_master(c_p0, s7) | m_processor_v_reply_h_owned(c_p0, s7))),
% 51.00/33.62 inference(quant_inst,[status(thm)],[])).
% 51.00/33.62 tff(24862,plain,
% 51.00/33.62 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_master(c_p0, s7) | m_processor_v_reply_h_owned(c_p0, s7)),
% 51.00/33.62 inference(modus_ponens,[status(thm)],[24861, 24860])).
% 51.00/33.62 tff(24863,plain,
% 51.00/33.62 (m_processor_v_reply_h_owned(c_p0, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24862, 10170, 55, 24460])).
% 51.00/33.62 tff(24864,plain,
% 51.00/33.62 (((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | ((~node5(s7)) | (~m_processor_v_reply_h_owned(c_p0, s7)))) <=> ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | (~node5(s7)) | (~m_processor_v_reply_h_owned(c_p0, s7)))),
% 51.00/33.62 inference(rewrite,[status(thm)],[])).
% 51.00/33.62 tff(24865,plain,
% 51.00/33.62 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | ((~node5(s7)) | (~m_processor_v_reply_h_owned(c_p0, s7)))),
% 51.00/33.62 inference(quant_inst,[status(thm)],[])).
% 51.00/33.62 tff(24866,plain,
% 51.00/33.62 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | (~node5(s7)) | (~m_processor_v_reply_h_owned(c_p0, s7))),
% 51.00/33.62 inference(modus_ponens,[status(thm)],[24865, 24864])).
% 51.00/33.62 tff(24867,plain,
% 51.00/33.62 (~node5(s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24866, 10185, 24863])).
% 51.00/33.62 tff(24868,plain,
% 51.00/33.62 (m_main_v_REPLY_h_OWNED(s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15356, 24867])).
% 51.00/33.62 tff(24869,plain,
% 51.00/33.62 (m_memory_v_REPLY_h_OWNED(c_m, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15364, 24868])).
% 51.00/33.62 tff(24870,plain,
% 51.00/33.62 (m_processor_v_waiting(c_p0, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[23449, 24461, 23440])).
% 51.00/33.62 tff(24871,plain,
% 51.00/33.62 (~node46(c_p0, s8, s9)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15499, 24870, 14758])).
% 51.00/33.62 tff(24872,plain,
% 51.00/33.62 (~m_processor_v_abort(c_p0, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15507, 24871])).
% 51.00/33.62 tff(24873,plain,
% 51.00/33.62 (~node52(c_p0, s8, s9)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15337, 24870, 14758])).
% 51.00/33.62 tff(24874,plain,
% 51.00/33.62 (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24495, 24870, 14758])).
% 51.00/33.62 tff(24875,plain,
% 51.00/33.62 (~m_memory_v_cmd(c_m, s8, c_idle)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[16096, 24874, 14759, 13022, 6288, 6289, 24873, 6290, 24872, 14758])).
% 51.00/33.62 tff(24876,plain,
% 51.00/33.62 (node29(c_m, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15489, 24875])).
% 51.00/33.62 tff(24877,plain,
% 51.00/33.62 (m_memory_v_busy(c_m, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15481, 2072, 24876])).
% 51.00/33.62 tff(24878,plain,
% 51.00/33.62 (~m_processor_v_state(c_p0, s7, c_invalid)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[14512, 24556, 14504])).
% 51.00/33.62 tff(24879,plain,
% 51.00/33.62 (~m_processor_v_abort(c_p1, s6)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[16310, 24558, 5, 24878])).
% 51.00/33.62 tff(24880,plain,
% 51.00/33.62 (node60(c_p1, s6)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[18324, 24879])).
% 51.00/33.62 tff(24881,plain,
% 51.00/33.62 (~m_processor_v_REPLY_h_STALL(c_p1, s6)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[18350, 24880])).
% 51.00/33.62 tff(24882,plain,
% 51.00/33.62 (~m_main_v_REPLY_h_STALL(s6)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[18356, 24881])).
% 51.00/33.62 tff(24883,plain,
% 51.00/33.62 (node7(s6)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24220, 24882])).
% 51.00/33.62 tff(24884,plain,
% 51.00/33.62 (~m_memory_v_reply_h_stall(c_m, s6)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24228, 24883])).
% 51.00/33.62 tff(24885,plain,
% 51.00/33.62 (~m_memory_v_busy(c_m, s6)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24569, 24884, 24555])).
% 51.00/33.62 tff(24886,plain,
% 51.00/33.62 (~m_memory_v_busy(c_m, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24399, 10278, 24885, 24551])).
% 51.00/33.62 tff(24887,assumption,(node18(c_m, s7, s8)), introduced(assumption)).
% 51.00/33.62 tff(24888,plain,
% 51.00/33.62 ($false),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15477, 10278, 24390, 24651, 24887])).
% 51.00/33.62 tff(24889,plain,((~node18(c_m, s7, s8)) | m_memory_v_busy(c_m, s7) | (~m_memory_v_busy(c_m, s8))), inference(lemma,lemma(discharge,[]))).
% 51.00/33.62 tff(24890,plain,
% 51.00/33.62 (~node18(c_m, s7, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24889, 24886, 24877])).
% 51.00/33.62 tff(24891,plain,
% 51.00/33.62 (~m_memory_v_abort(c_m, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15415, 24890])).
% 51.00/33.62 tff(24892,plain,
% 51.00/33.62 (node26(c_m, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15403, 24891])).
% 51.00/33.62 tff(24893,plain,
% 51.00/33.62 (node25(c_m, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15395, 24892, 24869])).
% 51.00/33.62 tff(24894,plain,
% 51.00/33.62 (~node22(c_m, s7, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24657, 24877, 24886])).
% 51.00/33.62 tff(24895,assumption,(~node21(c_m, s7)), introduced(assumption)).
% 51.00/33.62 tff(24896,assumption,(~node22(c_m, s7, s8)), introduced(assumption)).
% 51.00/33.62 tff(24897,plain,
% 51.00/33.62 (node19(c_m, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24665, 15397, 24896, 24895])).
% 51.00/33.62 tff(24898,plain,
% 51.00/33.62 (m_memory_v_master(c_m, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24672, 24897])).
% 51.00/33.62 tff(24899,plain,
% 51.00/33.62 (~m_memory_v_CMD(c_m, s7, c_response)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24680, 24898, 15397, 24651])).
% 51.00/33.62 tff(24900,plain,
% 51.00/33.62 ($false),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24684, 10075, 24897, 24899])).
% 51.00/33.62 tff(24901,plain,(m_memory_v_abort(c_m, s7) | (~m_memory_v_busy(c_m, s8)) | node22(c_m, s7, s8) | node21(c_m, s7)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.62 tff(24902,plain,
% 51.00/33.62 (node21(c_m, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24901, 24891, 24894, 24877])).
% 51.00/33.62 tff(24903,plain,
% 51.00/33.62 (~m_memory_v_CMD(c_m, s7, c_read_h_owned)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15386, 24893])).
% 51.00/33.62 tff(24904,plain,
% 51.00/33.62 (m_memory_v_CMD(c_m, s7, c_read_h_shared)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24649, 24903, 24902])).
% 51.00/33.62 tff(24905,plain,
% 51.00/33.62 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))) | ((~node25(c_m, s7)) | (~m_memory_v_CMD(c_m, s7, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))) | (~node25(c_m, s7)) | (~m_memory_v_CMD(c_m, s7, c_read_h_shared)))),
% 51.00/33.62 inference(rewrite,[status(thm)],[])).
% 51.00/33.62 tff(24906,plain,
% 51.00/33.62 (((~m_memory_v_CMD(c_m, s7, c_read_h_shared)) | (~node25(c_m, s7))) <=> ((~node25(c_m, s7)) | (~m_memory_v_CMD(c_m, s7, c_read_h_shared)))),
% 51.00/33.62 inference(rewrite,[status(thm)],[])).
% 51.00/33.62 tff(24907,plain,
% 51.00/33.62 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))) | ((~m_memory_v_CMD(c_m, s7, c_read_h_shared)) | (~node25(c_m, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))) | ((~node25(c_m, s7)) | (~m_memory_v_CMD(c_m, s7, c_read_h_shared))))),
% 51.00/33.62 inference(monotonicity,[status(thm)],[24906])).
% 51.00/33.62 tff(24908,plain,
% 51.00/33.62 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))) | ((~m_memory_v_CMD(c_m, s7, c_read_h_shared)) | (~node25(c_m, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))) | (~node25(c_m, s7)) | (~m_memory_v_CMD(c_m, s7, c_read_h_shared)))),
% 51.00/33.62 inference(transitivity,[status(thm)],[24907, 24905])).
% 51.00/33.62 tff(24909,plain,
% 51.00/33.62 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))) | ((~m_memory_v_CMD(c_m, s7, c_read_h_shared)) | (~node25(c_m, s7)))),
% 51.00/33.62 inference(quant_inst,[status(thm)],[])).
% 51.00/33.62 tff(24910,plain,
% 51.00/33.62 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))) | (~node25(c_m, s7)) | (~m_memory_v_CMD(c_m, s7, c_read_h_shared))),
% 51.00/33.62 inference(modus_ponens,[status(thm)],[24909, 24908])).
% 51.00/33.62 tff(24911,plain,
% 51.00/33.62 ($false),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24910, 10407, 24904, 24893])).
% 51.00/33.62 tff(24912,plain,(m_processor_v_master(c_p0, s7) | (~m_memory_v_REPLY_h_OWNED(c_m, s6)) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_waiting(c_p1, s9) | m_processor_v_waiting(c_p0, s9) | (~node46(c_p0, s7, s8)) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~node32(c_p0, s7, s8))), inference(lemma,lemma(discharge,[]))).
% 51.00/33.62 tff(24913,plain,
% 51.00/33.62 (m_processor_v_master(c_p0, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24912, 24457, 24442, 24339, 24447, 24448, 24458, 24449, 24859, 5, 14157, 24858])).
% 51.00/33.62 tff(24914,plain,
% 51.00/33.62 (~m_processor_v_master(c_p1, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[13229, 794, 24913])).
% 51.00/33.62 tff(24915,plain,
% 51.00/33.62 (m_processor_v_reply_h_owned(c_p1, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15344, 24914, 24450])).
% 51.00/33.62 tff(24916,plain,
% 51.00/33.62 (~node5(s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15348, 10333, 24915])).
% 51.00/33.62 tff(24917,plain,
% 51.00/33.62 (m_main_v_REPLY_h_OWNED(s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15356, 24916])).
% 51.00/33.62 tff(24918,plain,
% 51.00/33.62 (m_memory_v_REPLY_h_OWNED(c_m, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15364, 24917])).
% 51.00/33.62 tff(24919,plain,
% 51.00/33.62 ($false),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[18101, 18095, 18096, 14814, 14758])).
% 51.00/33.62 tff(24920,plain,(m_processor_v_state(c_p0, s8, c_owned) | m_processor_v_abort(c_p0, s8) | m_processor_v_waiting(c_p0, s9) | (~m_processor_v_state(c_p0, s9, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.00/33.62 tff(24921,plain,
% 51.00/33.62 (m_processor_v_state(c_p0, s8, c_owned)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24920, 14814, 14758, 14759])).
% 51.00/33.62 tff(24922,plain,
% 51.00/33.62 (m_processor_v_state(c_p0, s7, c_owned)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[14553, 24921, 14504])).
% 51.00/33.62 tff(24923,plain,
% 51.00/33.62 (m_main_v_CMD(s6, c_read_h_owned)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[16359, 24922, 5, 14207])).
% 51.00/33.62 tff(24924,plain,
% 51.00/33.62 (m_memory_v_CMD(c_m, s6, c_read_h_owned)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24272, 24923])).
% 51.00/33.62 tff(24925,plain,
% 51.00/33.62 (~node25(c_m, s6)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24280, 24924])).
% 51.00/33.62 tff(24926,plain,
% 51.00/33.62 (~node26(c_m, s6)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24289, 24925, 24283])).
% 51.00/33.62 tff(24927,plain,
% 51.00/33.62 (m_memory_v_abort(c_m, s6)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24297, 24926])).
% 51.00/33.62 tff(24928,plain,
% 51.00/33.62 (node18(c_m, s6, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24309, 24927])).
% 51.00/33.62 tff(24929,plain,
% 51.00/33.62 (~node30(c_m, s6)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24554, 24924])).
% 51.00/33.62 tff(24930,plain,
% 51.00/33.62 (~node32(c_p0, s6, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[2543, 24922, 5])).
% 51.00/33.62 tff(24931,plain,
% 51.00/33.62 (~m_processor_v_abort(c_p0, s6)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[2356, 24930])).
% 51.00/33.62 tff(24932,plain,
% 51.00/33.62 (node60(c_p0, s6)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[14205, 24931])).
% 51.00/33.62 tff(24933,plain,
% 51.00/33.62 (~m_processor_v_REPLY_h_STALL(c_p0, s6)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[16273, 24932])).
% 51.00/33.62 tff(24934,plain,
% 51.00/33.62 (~m_main_v_REPLY_h_STALL(s6)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[16281, 24933])).
% 51.00/33.62 tff(24935,plain,
% 51.00/33.62 (node7(s6)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24220, 24934])).
% 51.00/33.62 tff(24936,plain,
% 51.00/33.62 (~m_memory_v_reply_h_stall(c_m, s6)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24228, 24935])).
% 51.00/33.62 tff(24937,plain,
% 51.00/33.62 (~m_memory_v_busy(c_m, s6)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24569, 24936, 24929])).
% 51.00/33.62 tff(24938,plain,
% 51.00/33.62 (~m_memory_v_busy(c_m, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24399, 10278, 24937, 24928])).
% 51.00/33.62 tff(24939,plain,
% 51.00/33.62 (m_processor_v_waiting(c_p0, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[2570, 24922, 5])).
% 51.00/33.62 tff(24940,plain,
% 51.00/33.62 (m_processor_v_waiting(c_p0, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[23449, 24939, 23440])).
% 51.00/33.62 tff(24941,plain,
% 51.00/33.62 (~node52(c_p0, s8, s9)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15337, 24940, 14758])).
% 51.00/33.62 tff(24942,plain,
% 51.00/33.62 (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24495, 24940, 14758])).
% 51.00/33.62 tff(24943,plain,
% 51.00/33.62 (~m_memory_v_cmd(c_m, s8, c_idle)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[16096, 24942, 14759, 13022, 6288, 6289, 24941, 6290, 14814, 14758])).
% 51.00/33.62 tff(24944,plain,
% 51.00/33.62 (node29(c_m, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15489, 24943])).
% 51.00/33.62 tff(24945,plain,
% 51.00/33.62 (m_memory_v_busy(c_m, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15481, 2072, 24944])).
% 51.00/33.62 tff(24946,plain,
% 51.00/33.62 (~node18(c_m, s7, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24889, 24945, 24938])).
% 51.00/33.62 tff(24947,plain,
% 51.00/33.62 (~m_memory_v_abort(c_m, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15415, 24946])).
% 51.00/33.62 tff(24948,plain,
% 51.00/33.62 (node26(c_m, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15403, 24947])).
% 51.00/33.62 tff(24949,plain,
% 51.00/33.62 (node25(c_m, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15395, 24948, 15389])).
% 51.00/33.62 tff(24950,plain,
% 51.00/33.62 (~node22(c_m, s7, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24657, 24945, 24938])).
% 51.00/33.62 tff(24951,plain,
% 51.00/33.62 (node21(c_m, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24901, 24947, 24950, 24945])).
% 51.00/33.62 tff(24952,plain,
% 51.00/33.62 (~m_memory_v_CMD(c_m, s7, c_read_h_owned)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15386, 24949])).
% 51.00/33.62 tff(24953,plain,
% 51.00/33.62 (m_memory_v_CMD(c_m, s7, c_read_h_shared)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24649, 24952, 24951])).
% 51.00/33.62 tff(24954,plain,
% 51.00/33.62 ($false),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24910, 10407, 24953, 24949])).
% 51.00/33.62 tff(24955,plain,(m_processor_v_abort(c_p0, s8) | (~m_memory_v_REPLY_h_OWNED(c_m, s7)) | (~m_memory_v_REPLY_h_OWNED(c_m, s6)) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_waiting(c_p1, s9) | m_processor_v_waiting(c_p0, s9) | (~node46(c_p0, s7, s8)) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~node32(c_p0, s7, s8))), inference(lemma,lemma(discharge,[]))).
% 51.00/33.62 tff(24956,plain,
% 51.00/33.62 (m_processor_v_abort(c_p0, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24955, 24918, 24457, 24442, 24339, 24447, 24448, 24458, 24449, 24859, 5, 14157, 24858])).
% 51.00/33.62 tff(24957,plain,
% 51.00/33.62 (node32(c_p0, s8, s9)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[14811, 24956])).
% 51.00/33.62 tff(24958,plain,
% 51.00/33.62 (~m_processor_v_state(c_p0, s8, c_invalid)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[14797, 24957, 24443])).
% 51.00/33.62 tff(24959,plain,
% 51.00/33.62 (~m_processor_v_state(c_p0, s9, c_shared)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[14766, 121, 24442])).
% 51.00/33.62 tff(24960,plain,
% 51.00/33.62 (~m_processor_v_state(c_p0, s8, c_shared)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[14847, 24957, 24959])).
% 51.00/33.62 tff(24961,plain,
% 51.00/33.62 (m_processor_v_state(c_p0, s7, c_owned)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[14550, 24960, 24858, 24958])).
% 51.00/33.62 tff(24962,plain,
% 51.00/33.62 (node46(c_p0, s8, s9)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15507, 24956])).
% 51.00/33.62 tff(24963,plain,
% 51.00/33.62 (~m_processor_v_waiting(c_p0, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[15499, 24962, 24449])).
% 51.00/33.62 tff(24964,plain,
% 51.00/33.62 (~m_processor_v_waiting(c_p0, s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[23449, 24963, 24859])).
% 51.00/33.62 tff(24965,plain,
% 51.00/33.62 ($false),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[2570, 24964, 24961, 5])).
% 51.00/33.62 tff(24966,plain,(m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_state(c_p1, s7, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.62 tff(24967,plain,
% 51.00/33.62 (m_processor_v_master(c_p1, s6)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24966, 24437, 5])).
% 51.00/33.62 tff(24968,plain,
% 51.00/33.62 (~m_processor_v_master(c_p0, s6)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[16318, 24967])).
% 51.00/33.62 tff(24969,plain,
% 51.00/33.62 (~m_processor_v_state(c_p0, s7, c_owned)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[2437, 24968, 5])).
% 51.00/33.62 tff(24970,plain,
% 51.00/33.62 (~node56(c_p0, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[14719, 24969])).
% 51.00/33.62 tff(24971,plain,
% 51.00/33.62 (~m_processor_v_writable(c_p0, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[12508, 24970])).
% 51.00/33.62 tff(24972,plain,
% 51.00/33.62 (~node67(s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[12500, 24971])).
% 51.00/33.62 tff(24973,plain,
% 51.00/33.62 (~m_processor_v_state(c_p1, s5, c_owned)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[23325, 24972, 5949, 5])).
% 51.00/33.62 tff(24974,plain,
% 51.00/33.62 ($false),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[12490, 24973, 24972, 5, 5949])).
% 51.00/33.62 tff(24975,plain,(m_processor_v_state(c_p0, s6, c_owned) | node67(s9) | m_processor_v_master(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.62 tff(24976,plain,
% 51.00/33.62 (m_processor_v_state(c_p0, s6, c_owned)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[24975, 55, 5949])).
% 51.00/33.62 tff(24977,plain,
% 51.00/33.62 (~node67(s7)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[19099, 13400, 53, 24976])).
% 51.00/33.62 tff(24978,plain,
% 51.00/33.62 (node67(s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[13017, 24977, 5949, 53, 683])).
% 51.00/33.62 tff(24979,plain,
% 51.00/33.62 (m_processor_v_writable(c_p1, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[5697, 24978])).
% 51.00/33.62 tff(24980,plain,
% 51.00/33.62 (node56(c_p1, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[5686, 24979])).
% 51.00/33.62 tff(24981,plain,
% 51.00/33.62 (~m_processor_v_waiting(c_p1, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[13159, 24980])).
% 51.00/33.62 tff(24982,plain,
% 51.00/33.62 (~m_processor_v_state(c_p1, s7, c_shared)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[13520, 13400])).
% 51.00/33.62 tff(24983,plain,
% 51.00/33.62 (m_processor_v_writable(c_p0, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[12500, 24978])).
% 51.00/33.62 tff(24984,plain,
% 51.00/33.62 (node56(c_p0, s8)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[12508, 24983])).
% 51.00/33.62 tff(24985,plain,
% 51.00/33.62 (m_processor_v_state(c_p0, s8, c_owned)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[14413, 24984])).
% 51.00/33.62 tff(24986,plain,
% 51.00/33.62 (~m_processor_v_state(c_p0, s8, c_invalid)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[14429, 24985])).
% 51.00/33.62 tff(24987,plain,
% 51.00/33.62 (~m_processor_v_state(c_p0, s7, c_invalid)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[14541, 24986, 55])).
% 51.00/33.62 tff(24988,plain,
% 51.00/33.62 (~m_processor_v_state(c_p0, s7, c_shared)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[14501, 24985, 55])).
% 51.00/33.62 tff(24989,plain,
% 51.00/33.62 (m_processor_v_state(c_p1, s8, c_owned)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[5678, 24980])).
% 51.00/33.62 tff(24990,plain,
% 51.00/33.62 (~m_processor_v_state(c_p1, s8, c_shared)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[13150, 121, 24989])).
% 51.00/33.62 tff(24991,plain,
% 51.00/33.62 (~m_processor_v_state(c_p1, s8, c_invalid)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[13056, 24989])).
% 51.00/33.62 tff(24992,assumption,(~m_processor_v_waiting(c_p1, s8)), introduced(assumption)).
% 51.00/33.62 tff(24993,plain,
% 51.00/33.62 (~m_processor_v_state(c_p1, s6, c_shared)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[19060, 13405, 13435])).
% 51.00/33.62 tff(24994,plain,
% 51.00/33.62 (~m_processor_v_state(c_p1, s6, c_invalid)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[13615, 13405, 13436, 24993])).
% 51.00/33.62 tff(24995,plain,
% 51.00/33.62 (~node32(c_p1, s5, s6)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[566, 24993, 53, 24994])).
% 51.00/33.62 tff(24996,plain,
% 51.00/33.62 (~m_processor_v_abort(c_p1, s5)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[250, 24995])).
% 51.00/33.62 tff(24997,plain,
% 51.00/33.62 (node60(c_p1, s5)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[698, 24996])).
% 51.00/33.62 tff(24998,plain,
% 51.00/33.62 (m_processor_v_CMD(c_p1, s5, c_read_h_owned)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[629, 24993, 53, 24994])).
% 51.00/33.62 tff(24999,plain,
% 51.00/33.62 (~node59(c_p1, s5)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[710, 707, 24998])).
% 51.00/33.62 tff(25000,plain,
% 51.00/33.62 (~m_processor_v_REPLY_h_WAITING(c_p1, s5)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[732, 24999, 24997])).
% 51.00/33.62 tff(25001,plain,
% 51.00/33.62 (~m_main_v_REPLY_h_WAITING(s5)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[750, 25000])).
% 51.00/33.62 tff(25002,plain,
% 51.00/33.62 (node6(s5)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[765, 25001])).
% 51.00/33.62 tff(25003,plain,
% 51.00/33.62 (~m_processor_v_reply_h_waiting(c_p0, s5)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[783, 25002])).
% 51.00/33.62 tff(25004,plain,
% 51.00/33.62 (m_processor_v_master(c_p1, s5)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[13585, 13405, 53, 24993, 13435])).
% 51.00/33.62 tff(25005,plain,
% 51.00/33.62 (~m_processor_v_master(c_p0, s5)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[797, 794, 25004])).
% 51.00/33.62 tff(25006,plain,
% 51.00/33.62 (~m_processor_v_waiting(c_p0, s5)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[2302, 2296, 25005, 25003])).
% 51.00/33.62 tff(25007,plain,
% 51.00/33.62 (m_main_v_CMD(s5, c_read_h_owned)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[13623, 1260, 24998, 13607])).
% 51.00/33.62 tff(25008,plain,
% 51.00/33.62 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s5, c_read_h_owned)) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s5, c_read_h_owned)) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)))),
% 51.00/33.62 inference(rewrite,[status(thm)],[])).
% 51.00/33.62 tff(25009,plain,
% 51.00/33.62 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s5, c_read_h_owned)) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)))),
% 51.00/33.62 inference(quant_inst,[status(thm)],[])).
% 51.00/33.62 tff(25010,plain,
% 51.00/33.62 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s5, c_read_h_owned)) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared))),
% 51.00/33.62 inference(modus_ponens,[status(thm)],[25009, 25008])).
% 51.00/33.62 tff(25011,plain,
% 51.00/33.62 (~m_main_v_CMD(s5, c_write_h_resp_h_shared)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[25010, 7940, 25007])).
% 51.00/33.62 tff(25012,plain,
% 51.00/33.62 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_shared) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)) | (~node2(s5)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s5, c_write_h_resp_h_shared) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)) | (~node2(s5)))),
% 51.00/33.62 inference(rewrite,[status(thm)],[])).
% 51.00/33.62 tff(25013,plain,
% 51.00/33.62 ((m_main_v_CMD(s5, c_write_h_resp_h_shared) | (~node2(s5)) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared))) <=> (m_main_v_CMD(s5, c_write_h_resp_h_shared) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)) | (~node2(s5)))),
% 51.00/33.62 inference(rewrite,[status(thm)],[])).
% 51.00/33.62 tff(25014,plain,
% 51.00/33.62 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_shared) | (~node2(s5)) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_shared) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)) | (~node2(s5))))),
% 51.00/33.62 inference(monotonicity,[status(thm)],[25013])).
% 51.00/33.62 tff(25015,plain,
% 51.00/33.62 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_shared) | (~node2(s5)) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s5, c_write_h_resp_h_shared) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)) | (~node2(s5)))),
% 51.00/33.62 inference(transitivity,[status(thm)],[25014, 25012])).
% 51.00/33.62 tff(25016,plain,
% 51.00/33.62 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_shared) | (~node2(s5)) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)))),
% 51.00/33.62 inference(quant_inst,[status(thm)],[])).
% 51.00/33.62 tff(25017,plain,
% 51.00/33.62 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s5, c_write_h_resp_h_shared) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)) | (~node2(s5))),
% 51.00/33.62 inference(modus_ponens,[status(thm)],[25016, 25015])).
% 51.00/33.62 tff(25018,plain,
% 51.00/33.62 (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)),
% 51.00/33.62 inference(unit_resolution,[status(thm)],[25017, 1612, 25011, 13841])).
% 51.00/33.62 tff(25019,plain,
% 51.00/33.62 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared) | (~node51(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared) | (~node51(c_p0, s5)))),
% 51.00/33.63 inference(rewrite,[status(thm)],[])).
% 51.00/33.63 tff(25020,plain,
% 51.00/33.63 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared) | (~node51(c_p0, s5)))),
% 51.00/33.63 inference(quant_inst,[status(thm)],[])).
% 51.00/33.63 tff(25021,plain,
% 51.00/33.63 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared) | (~node51(c_p0, s5))),
% 51.00/33.63 inference(modus_ponens,[status(thm)],[25020, 25019])).
% 51.00/33.63 tff(25022,plain,
% 51.00/33.63 (~node51(c_p0, s5)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[25021, 11549, 25018])).
% 51.00/33.63 tff(25023,plain,
% 51.00/33.63 (~m_processor_v_abort(c_p0, s5)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[13820, 24999, 24997])).
% 51.00/33.63 tff(25024,plain,
% 51.00/33.63 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p0, s5) | (~node48(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p0, s5) | (~node48(c_p0, s5)))),
% 51.00/33.63 inference(rewrite,[status(thm)],[])).
% 51.00/33.63 tff(25025,plain,
% 51.00/33.63 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p0, s5) | (~node48(c_p0, s5)))),
% 51.00/33.63 inference(quant_inst,[status(thm)],[])).
% 51.00/33.63 tff(25026,plain,
% 51.00/33.63 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p0, s5) | (~node48(c_p0, s5))),
% 51.00/33.63 inference(modus_ponens,[status(thm)],[25025, 25024])).
% 51.00/33.63 tff(25027,plain,
% 51.00/33.63 (~node48(c_p0, s5)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[25026, 11562, 25005])).
% 51.00/33.63 tff(25028,plain,
% 51.00/33.63 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p0, s5) | (~node47(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p0, s5) | (~node47(c_p0, s5)))),
% 51.00/33.63 inference(rewrite,[status(thm)],[])).
% 51.00/33.63 tff(25029,plain,
% 51.00/33.63 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p0, s5) | (~node47(c_p0, s5)))),
% 51.00/33.63 inference(quant_inst,[status(thm)],[])).
% 51.00/33.63 tff(25030,plain,
% 51.00/33.63 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p0, s5) | (~node47(c_p0, s5))),
% 51.00/33.63 inference(modus_ponens,[status(thm)],[25029, 25028])).
% 51.00/33.63 tff(25031,plain,
% 51.00/33.63 (~node47(c_p0, s5)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[25030, 12108, 25005])).
% 51.00/33.63 tff(25032,plain,
% 51.00/33.63 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s5, c_read_h_owned)) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s5, c_read_h_owned)) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)))),
% 51.00/33.63 inference(rewrite,[status(thm)],[])).
% 51.00/33.63 tff(25033,plain,
% 51.00/33.63 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s5, c_read_h_owned)) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)))),
% 51.00/33.63 inference(quant_inst,[status(thm)],[])).
% 51.00/33.63 tff(25034,plain,
% 51.00/33.63 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s5, c_read_h_owned)) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid))),
% 51.00/33.63 inference(modus_ponens,[status(thm)],[25033, 25032])).
% 51.00/33.63 tff(25035,plain,
% 51.00/33.63 (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[25034, 7953, 25007])).
% 51.00/33.63 tff(25036,plain,
% 51.00/33.63 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)) | (~node2(s5)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)) | (~node2(s5)))),
% 51.00/33.63 inference(rewrite,[status(thm)],[])).
% 51.00/33.63 tff(25037,plain,
% 51.00/33.63 ((m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~node2(s5)) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid))) <=> (m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)) | (~node2(s5)))),
% 51.00/33.63 inference(rewrite,[status(thm)],[])).
% 51.00/33.63 tff(25038,plain,
% 51.00/33.63 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~node2(s5)) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)) | (~node2(s5))))),
% 51.00/33.63 inference(monotonicity,[status(thm)],[25037])).
% 51.00/33.63 tff(25039,plain,
% 51.00/33.63 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~node2(s5)) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)) | (~node2(s5)))),
% 51.00/33.63 inference(transitivity,[status(thm)],[25038, 25036])).
% 51.00/33.63 tff(25040,plain,
% 51.00/33.63 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~node2(s5)) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)))),
% 51.00/33.63 inference(quant_inst,[status(thm)],[])).
% 51.00/33.63 tff(25041,plain,
% 51.00/33.63 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)) | (~node2(s5))),
% 51.00/33.63 inference(modus_ponens,[status(thm)],[25040, 25039])).
% 51.00/33.63 tff(25042,plain,
% 51.00/33.63 (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[25041, 1612, 13841, 25035])).
% 51.00/33.63 tff(25043,assumption,(node50(c_p0, s5)), introduced(assumption)).
% 51.00/33.63 tff(25044,plain,
% 51.00/33.63 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | (~node50(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | (~node50(c_p0, s5)))),
% 51.00/33.63 inference(rewrite,[status(thm)],[])).
% 51.00/33.63 tff(25045,plain,
% 51.00/33.63 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | (~node50(c_p0, s5)))),
% 51.00/33.63 inference(quant_inst,[status(thm)],[])).
% 51.00/33.63 tff(25046,plain,
% 51.00/33.63 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | (~node50(c_p0, s5))),
% 51.00/33.63 inference(modus_ponens,[status(thm)],[25045, 25044])).
% 51.00/33.63 tff(25047,plain,
% 51.00/33.63 ($false),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[25046, 11598, 915, 25043])).
% 51.00/33.63 tff(25048,plain,((~node50(c_p0, s5)) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.63 tff(25049,plain,
% 51.00/33.63 (~node50(c_p0, s5)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[25048, 25042])).
% 51.00/33.63 tff(25050,plain,
% 51.00/33.63 (~m_main_v_CMD(s5, c_response)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[13676, 12316, 25007])).
% 51.00/33.63 tff(25051,plain,
% 51.00/33.63 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s5, c_response) | (~m_processor_v_CMD(c_p0, s5, c_response)) | (~node2(s5)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s5, c_response) | (~m_processor_v_CMD(c_p0, s5, c_response)) | (~node2(s5)))),
% 51.00/33.63 inference(rewrite,[status(thm)],[])).
% 51.00/33.63 tff(25052,plain,
% 51.00/33.63 ((m_main_v_CMD(s5, c_response) | (~node2(s5)) | (~m_processor_v_CMD(c_p0, s5, c_response))) <=> (m_main_v_CMD(s5, c_response) | (~m_processor_v_CMD(c_p0, s5, c_response)) | (~node2(s5)))),
% 51.00/33.63 inference(rewrite,[status(thm)],[])).
% 51.00/33.63 tff(25053,plain,
% 51.00/33.63 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s5, c_response) | (~node2(s5)) | (~m_processor_v_CMD(c_p0, s5, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s5, c_response) | (~m_processor_v_CMD(c_p0, s5, c_response)) | (~node2(s5))))),
% 51.00/33.63 inference(monotonicity,[status(thm)],[25052])).
% 51.00/33.63 tff(25054,plain,
% 51.00/33.63 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s5, c_response) | (~node2(s5)) | (~m_processor_v_CMD(c_p0, s5, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s5, c_response) | (~m_processor_v_CMD(c_p0, s5, c_response)) | (~node2(s5)))),
% 51.00/33.63 inference(transitivity,[status(thm)],[25053, 25051])).
% 51.00/33.63 tff(25055,plain,
% 51.00/33.63 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s5, c_response) | (~node2(s5)) | (~m_processor_v_CMD(c_p0, s5, c_response)))),
% 51.00/33.63 inference(quant_inst,[status(thm)],[])).
% 51.00/33.63 tff(25056,plain,
% 51.00/33.63 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s5, c_response) | (~m_processor_v_CMD(c_p0, s5, c_response)) | (~node2(s5))),
% 51.00/33.63 inference(modus_ponens,[status(thm)],[25055, 25054])).
% 51.00/33.63 tff(25057,plain,
% 51.00/33.63 (~m_processor_v_CMD(c_p0, s5, c_response)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[25056, 1612, 13841, 25050])).
% 51.00/33.63 tff(25058,plain,
% 51.00/33.63 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p0, s5, c_response) | (~node49(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | m_processor_v_CMD(c_p0, s5, c_response) | (~node49(c_p0, s5)))),
% 51.00/33.63 inference(rewrite,[status(thm)],[])).
% 51.00/33.63 tff(25059,plain,
% 51.00/33.63 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p0, s5, c_response) | (~node49(c_p0, s5)))),
% 51.00/33.63 inference(quant_inst,[status(thm)],[])).
% 51.00/33.63 tff(25060,plain,
% 51.00/33.63 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | m_processor_v_CMD(c_p0, s5, c_response) | (~node49(c_p0, s5))),
% 51.00/33.63 inference(modus_ponens,[status(thm)],[25059, 25058])).
% 51.00/33.63 tff(25061,plain,
% 51.00/33.63 (~node49(c_p0, s5)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[25060, 11579, 25057])).
% 51.00/33.63 tff(25062,plain,
% 51.00/33.63 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s5, s6)) | node53(c_p0, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s5, s6)) | node53(c_p0, s5, s6))),
% 51.00/33.63 inference(rewrite,[status(thm)],[])).
% 51.00/33.63 tff(25063,plain,
% 51.00/33.63 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | ((~trans(s5, s6)) | node53(c_p0, s5, s6))),
% 51.00/33.63 inference(quant_inst,[status(thm)],[])).
% 51.00/33.63 tff(25064,plain,
% 51.00/33.63 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node53(I0, X, Y))) | (~trans(s5, s6)) | node53(c_p0, s5, s6)),
% 51.00/33.63 inference(modus_ponens,[status(thm)],[25063, 25062])).
% 51.00/33.63 tff(25065,plain,
% 51.00/33.63 (node53(c_p0, s5, s6)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[25064, 575, 203])).
% 51.00/33.63 tff(25066,plain,
% 51.00/33.63 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s5) | node48(c_p0, s5) | node47(c_p0, s5) | node51(c_p0, s5) | node49(c_p0, s5) | node50(c_p0, s5) | (~node53(c_p0, s5, s6)) | node52(c_p0, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p0, s5) | node48(c_p0, s5) | node47(c_p0, s5) | node51(c_p0, s5) | node49(c_p0, s5) | node50(c_p0, s5) | (~node53(c_p0, s5, s6)) | node52(c_p0, s5, s6))),
% 51.00/33.63 inference(rewrite,[status(thm)],[])).
% 51.00/33.63 tff(25067,plain,
% 51.00/33.63 ((m_processor_v_abort(c_p0, s5) | node47(c_p0, s5) | node48(c_p0, s5) | node49(c_p0, s5) | node50(c_p0, s5) | node51(c_p0, s5) | node52(c_p0, s5, s6) | (~node53(c_p0, s5, s6))) <=> (m_processor_v_abort(c_p0, s5) | node48(c_p0, s5) | node47(c_p0, s5) | node51(c_p0, s5) | node49(c_p0, s5) | node50(c_p0, s5) | (~node53(c_p0, s5, s6)) | node52(c_p0, s5, s6))),
% 51.00/33.63 inference(rewrite,[status(thm)],[])).
% 51.00/33.63 tff(25068,plain,
% 51.00/33.63 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s5) | node47(c_p0, s5) | node48(c_p0, s5) | node49(c_p0, s5) | node50(c_p0, s5) | node51(c_p0, s5) | node52(c_p0, s5, s6) | (~node53(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s5) | node48(c_p0, s5) | node47(c_p0, s5) | node51(c_p0, s5) | node49(c_p0, s5) | node50(c_p0, s5) | (~node53(c_p0, s5, s6)) | node52(c_p0, s5, s6)))),
% 51.00/33.63 inference(monotonicity,[status(thm)],[25067])).
% 51.00/33.63 tff(25069,plain,
% 51.00/33.63 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s5) | node47(c_p0, s5) | node48(c_p0, s5) | node49(c_p0, s5) | node50(c_p0, s5) | node51(c_p0, s5) | node52(c_p0, s5, s6) | (~node53(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p0, s5) | node48(c_p0, s5) | node47(c_p0, s5) | node51(c_p0, s5) | node49(c_p0, s5) | node50(c_p0, s5) | (~node53(c_p0, s5, s6)) | node52(c_p0, s5, s6))),
% 51.00/33.63 inference(transitivity,[status(thm)],[25068, 25066])).
% 51.00/33.63 tff(25070,plain,
% 51.00/33.63 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s5) | node47(c_p0, s5) | node48(c_p0, s5) | node49(c_p0, s5) | node50(c_p0, s5) | node51(c_p0, s5) | node52(c_p0, s5, s6) | (~node53(c_p0, s5, s6)))),
% 51.00/33.63 inference(quant_inst,[status(thm)],[])).
% 51.00/33.63 tff(25071,plain,
% 51.00/33.63 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p0, s5) | node48(c_p0, s5) | node47(c_p0, s5) | node51(c_p0, s5) | node49(c_p0, s5) | node50(c_p0, s5) | (~node53(c_p0, s5, s6)) | node52(c_p0, s5, s6)),
% 51.00/33.63 inference(modus_ponens,[status(thm)],[25070, 25069])).
% 51.00/33.63 tff(25072,plain,
% 51.00/33.63 (m_processor_v_abort(c_p0, s5) | node48(c_p0, s5) | node47(c_p0, s5) | node51(c_p0, s5) | node49(c_p0, s5) | node50(c_p0, s5) | node52(c_p0, s5, s6)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[25071, 11612, 25065])).
% 51.00/33.63 tff(25073,plain,
% 51.00/33.63 (node52(c_p0, s5, s6)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[25072, 25061, 25049, 25031, 25027, 25023, 25022])).
% 51.00/33.63 tff(25074,assumption,(node52(c_p0, s5, s6)), introduced(assumption)).
% 51.00/33.63 tff(25075,assumption,(m_processor_v_waiting(c_p0, s6)), introduced(assumption)).
% 51.00/33.63 tff(25076,plain,
% 51.00/33.63 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s5) | (~m_processor_v_waiting(c_p0, s6)) | (~node52(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | m_processor_v_waiting(c_p0, s5) | (~m_processor_v_waiting(c_p0, s6)) | (~node52(c_p0, s5, s6)))),
% 51.00/33.63 inference(rewrite,[status(thm)],[])).
% 51.00/33.63 tff(25077,plain,
% 51.00/33.63 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s5) | (~m_processor_v_waiting(c_p0, s6)) | (~node52(c_p0, s5, s6)))),
% 51.00/33.63 inference(quant_inst,[status(thm)],[])).
% 51.00/33.63 tff(25078,plain,
% 51.00/33.63 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | m_processor_v_waiting(c_p0, s5) | (~m_processor_v_waiting(c_p0, s6)) | (~node52(c_p0, s5, s6))),
% 51.00/33.63 inference(modus_ponens,[status(thm)],[25077, 25076])).
% 51.00/33.63 tff(25079,plain,
% 51.00/33.63 ($false),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[25078, 20180, 1193, 25075, 25074])).
% 51.00/33.63 tff(25080,plain,((~node52(c_p0, s5, s6)) | m_processor_v_waiting(c_p0, s5) | (~m_processor_v_waiting(c_p0, s6))), inference(lemma,lemma(discharge,[]))).
% 51.00/33.63 tff(25081,plain,
% 51.00/33.63 (~m_processor_v_waiting(c_p0, s6)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[25080, 25073, 25006])).
% 51.00/33.63 tff(25082,plain,
% 51.00/33.63 (node34(c_p1, s5, s6)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[617, 24993, 53, 24994])).
% 51.00/33.63 tff(25083,plain,
% 51.00/33.63 (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[422, 416, 24993, 25082])).
% 51.00/33.63 tff(25084,plain,
% 51.00/33.63 (~node47(c_p1, s5)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[662, 25083])).
% 51.00/33.63 tff(25085,plain,
% 51.00/33.63 (m_processor_v_waiting(c_p1, s6)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[647, 25084, 25004, 24998, 24996])).
% 51.00/33.63 tff(25086,plain,
% 51.00/33.63 (m_processor_v_reply_h_waiting(c_p1, s6)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[14168, 25085])).
% 51.00/33.63 tff(25087,plain,
% 51.00/33.63 (~node6(s6)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[14176, 25086])).
% 51.00/33.63 tff(25088,plain,
% 51.00/33.63 (m_main_v_REPLY_h_WAITING(s6)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[14184, 25087])).
% 51.00/33.63 tff(25089,plain,
% 51.00/33.63 (m_processor_v_REPLY_h_WAITING(c_p1, s6)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18192, 25088])).
% 51.00/33.63 tff(25090,plain,
% 51.00/33.63 (node59(c_p1, s6)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18335, 18327, 25089])).
% 51.00/33.63 tff(25091,plain,
% 51.00/33.63 (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18342, 25090])).
% 51.00/33.63 tff(25092,plain,
% 51.00/33.63 (~m_main_v_CMD(s6, c_read_h_owned)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[16254, 25091])).
% 51.00/33.63 tff(25093,plain,
% 51.00/33.63 (~m_processor_v_CMD(c_p0, s6, c_read_h_owned)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[16241, 25092])).
% 51.00/33.63 tff(25094,assumption,(node48(c_p0, s6)), introduced(assumption)).
% 51.00/33.63 tff(25095,plain,
% 51.00/33.63 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p0, s6, c_read_h_owned) | (~node48(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | (~node48(c_p0, s6)))),
% 51.00/33.63 inference(rewrite,[status(thm)],[])).
% 51.00/33.63 tff(25096,plain,
% 51.00/33.63 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p0, s6, c_read_h_owned) | (~node48(c_p0, s6)))),
% 51.00/33.63 inference(quant_inst,[status(thm)],[])).
% 51.00/33.63 tff(25097,plain,
% 51.00/33.63 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | (~node48(c_p0, s6))),
% 51.00/33.63 inference(modus_ponens,[status(thm)],[25096, 25095])).
% 51.00/33.63 tff(25098,plain,
% 51.00/33.63 ($false),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[25097, 16883, 2439, 25094])).
% 51.00/33.63 tff(25099,plain,((~node48(c_p0, s6)) | m_processor_v_CMD(c_p0, s6, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.63 tff(25100,plain,
% 51.00/33.63 (~node48(c_p0, s6)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[25099, 25093])).
% 51.00/33.63 tff(25101,plain,
% 51.00/33.63 (m_processor_v_reply_h_owned(c_p0, s5)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18204, 25005, 810, 18194])).
% 51.00/33.63 tff(25102,plain,
% 51.00/33.63 (~node5(s5)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18212, 25101])).
% 51.00/33.63 tff(25103,plain,
% 51.00/33.63 (m_main_v_REPLY_h_OWNED(s5)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18220, 25102])).
% 51.00/33.63 tff(25104,plain,
% 51.00/33.63 (m_memory_v_REPLY_h_OWNED(c_m, s5)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18228, 25103])).
% 51.00/33.63 tff(25105,plain,
% 51.00/33.63 (m_memory_v_CMD(c_m, s5, c_read_h_owned)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18233, 4207, 25007, 6954])).
% 51.00/33.63 tff(25106,plain,
% 51.00/33.63 (~node25(c_m, s5)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18237, 9959, 25105])).
% 51.00/33.63 tff(25107,plain,
% 51.00/33.63 (~node26(c_m, s5)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18246, 25106, 25104])).
% 51.00/33.63 tff(25108,plain,
% 51.00/33.63 (m_memory_v_abort(c_m, s5)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18254, 25107])).
% 51.00/33.63 tff(25109,plain,
% 51.00/33.63 (node18(c_m, s5, s6)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18266, 25108])).
% 51.00/33.63 tff(25110,plain,
% 51.00/33.63 (~m_processor_v_REPLY_h_STALL(c_p1, s5)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[13790, 24997])).
% 51.00/33.63 tff(25111,plain,
% 51.00/33.63 (~m_main_v_REPLY_h_STALL(s5)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[13797, 25110])).
% 51.00/33.63 tff(25112,plain,
% 51.00/33.63 (node7(s5)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[7305, 25111])).
% 51.00/33.63 tff(25113,plain,
% 51.00/33.63 (~m_memory_v_reply_h_stall(c_m, s5)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[7313, 25112])).
% 51.00/33.63 tff(25114,plain,
% 51.00/33.63 (~node30(c_m, s5)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18278, 25105])).
% 51.00/33.63 tff(25115,plain,
% 51.00/33.63 (~m_memory_v_busy(c_m, s5)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[7322, 25114, 25113])).
% 51.00/33.63 tff(25116,plain,
% 51.00/33.63 (~m_memory_v_busy(c_m, s6)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18286, 10278, 25115, 25109])).
% 51.00/33.63 tff(25117,plain,
% 51.00/33.63 (~node29(c_m, s6)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18296, 25116])).
% 51.00/33.63 tff(25118,plain,
% 51.00/33.63 (m_memory_v_cmd(c_m, s6, c_idle)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[14285, 25117])).
% 51.00/33.63 tff(25119,plain,
% 51.00/33.63 (~m_processor_v_REPLY_h_STALL(c_p1, s6)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18350, 18327])).
% 51.00/33.63 tff(25120,plain,
% 51.00/33.63 (~m_main_v_REPLY_h_STALL(s6)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18356, 25119])).
% 51.00/33.63 tff(25121,plain,
% 51.00/33.63 (~m_processor_v_REPLY_h_STALL(c_p0, s6)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18362, 25120])).
% 51.00/33.63 tff(25122,plain,
% 51.00/33.63 (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18369, 25090])).
% 51.00/33.63 tff(25123,plain,
% 51.00/33.63 (~m_main_v_CMD(s6, c_read_h_shared)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18379, 25122])).
% 51.00/33.63 tff(25124,plain,
% 51.00/33.63 (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18385, 25123])).
% 51.00/33.63 tff(25125,plain,
% 51.00/33.63 (m_processor_v_cmd(c_p0, s6, c_write_h_resp_h_invalid)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18520, 14308, 2326, 2358, 2439, 785, 14350, 2441, 16276])).
% 51.00/33.63 tff(25126,plain,
% 51.00/33.63 (m_main_v_CMD(s6, c_write_h_resp_h_invalid)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18528, 25125, 14308])).
% 51.00/33.63 tff(25127,plain,
% 51.00/33.63 (m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18538, 25126])).
% 51.00/33.63 tff(25128,plain,
% 51.00/33.63 (node34(c_p0, s6, s7)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[2449, 2441, 18412])).
% 51.00/33.63 tff(25129,plain,
% 51.00/33.63 (m_processor_v_CMD(c_p0, s6, c_write_h_invalid)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[2530, 438, 2358, 25128, 2439, 25127, 14350])).
% 51.00/33.63 tff(25130,plain,
% 51.00/33.63 ($false),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[2496, 512, 2358, 25128, 2439, 14350, 25129])).
% 51.00/33.63 tff(25131,plain,((~m_processor_v_master(c_p0, s6)) | m_processor_v_state(c_p0, s7, c_invalid) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_state(c_p0, s7, c_shared) | (~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_REPLY_h_STALL(c_p0, s6) | (~m_processor_v_cmd(c_p1, s6, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.00/33.63 tff(25132,plain,
% 51.00/33.63 (~m_processor_v_master(c_p0, s6)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[25131, 25093, 2358, 25124, 2326, 785, 25121, 14157])).
% 51.00/33.63 tff(25133,plain,
% 51.00/33.63 (m_processor_v_cmd(c_p0, s6, c_idle)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18577, 25132])).
% 51.00/33.63 tff(25134,plain,
% 51.00/33.63 (m_main_v_CMD(s6, c_idle)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18668, 25133, 14157, 25118])).
% 51.00/33.63 tff(25135,plain,
% 51.00/33.63 (~m_main_v_CMD(s6, c_write_h_resp_h_invalid)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18702, 7663, 25134])).
% 51.00/33.63 tff(25136,plain,
% 51.00/33.63 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s6, c_write_h_resp_h_invalid) | (~node2(s6)) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s6, c_write_h_resp_h_invalid) | (~node2(s6)) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)))),
% 51.00/33.63 inference(rewrite,[status(thm)],[])).
% 51.00/33.63 tff(25137,plain,
% 51.00/33.63 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s6, c_write_h_resp_h_invalid) | (~node2(s6)) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)))),
% 51.00/33.63 inference(quant_inst,[status(thm)],[])).
% 51.00/33.63 tff(25138,plain,
% 51.00/33.63 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s6, c_write_h_resp_h_invalid) | (~node2(s6)) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid))),
% 51.00/33.63 inference(modus_ponens,[status(thm)],[25137, 25136])).
% 51.00/33.63 tff(25139,plain,
% 51.00/33.63 (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[25138, 1612, 14355, 25135])).
% 51.00/33.63 tff(25140,assumption,(node50(c_p0, s6)), introduced(assumption)).
% 51.00/33.63 tff(25141,plain,
% 51.00/33.63 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | (~node50(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | (~node50(c_p0, s6)))),
% 51.00/33.63 inference(rewrite,[status(thm)],[])).
% 51.00/33.63 tff(25142,plain,
% 51.00/33.63 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | (~node50(c_p0, s6)))),
% 51.00/33.63 inference(quant_inst,[status(thm)],[])).
% 51.00/33.63 tff(25143,plain,
% 51.00/33.63 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid) | (~node50(c_p0, s6))),
% 51.00/33.63 inference(modus_ponens,[status(thm)],[25142, 25141])).
% 51.00/33.63 tff(25144,plain,
% 51.00/33.63 ($false),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[25143, 11598, 2490, 25140])).
% 51.00/33.63 tff(25145,plain,((~node50(c_p0, s6)) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.63 tff(25146,plain,
% 51.00/33.63 (~node50(c_p0, s6)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[25145, 25139])).
% 51.00/33.63 tff(25147,plain,
% 51.00/33.63 (~m_main_v_CMD(s6, c_response)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18672, 10097, 25134])).
% 51.00/33.63 tff(25148,assumption,(m_processor_v_CMD(c_p0, s6, c_response)), introduced(assumption)).
% 51.00/33.63 tff(25149,assumption,(~m_main_v_CMD(s6, c_response)), introduced(assumption)).
% 51.00/33.63 tff(25150,plain,
% 51.00/33.63 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s6, c_response) | (~node2(s6)) | (~m_processor_v_CMD(c_p0, s6, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s6, c_response) | (~node2(s6)) | (~m_processor_v_CMD(c_p0, s6, c_response)))),
% 51.00/33.63 inference(rewrite,[status(thm)],[])).
% 51.00/33.63 tff(25151,plain,
% 51.00/33.63 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s6, c_response) | (~node2(s6)) | (~m_processor_v_CMD(c_p0, s6, c_response)))),
% 51.00/33.63 inference(quant_inst,[status(thm)],[])).
% 51.00/33.63 tff(25152,plain,
% 51.00/33.63 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s6, c_response) | (~node2(s6)) | (~m_processor_v_CMD(c_p0, s6, c_response))),
% 51.00/33.63 inference(modus_ponens,[status(thm)],[25151, 25150])).
% 51.00/33.63 tff(25153,plain,
% 51.00/33.63 ($false),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[25152, 1612, 14355, 25149, 25148])).
% 51.00/33.63 tff(25154,plain,((~m_processor_v_CMD(c_p0, s6, c_response)) | m_main_v_CMD(s6, c_response)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.63 tff(25155,plain,
% 51.00/33.63 (~m_processor_v_CMD(c_p0, s6, c_response)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[25154, 25147])).
% 51.00/33.63 tff(25156,assumption,(~m_processor_v_CMD(c_p0, s6, c_response)), introduced(assumption)).
% 51.00/33.63 tff(25157,assumption,(node49(c_p0, s6)), introduced(assumption)).
% 51.00/33.63 tff(25158,plain,
% 51.00/33.63 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | ((~node49(c_p0, s6)) | m_processor_v_CMD(c_p0, s6, c_response))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p0, s6)) | m_processor_v_CMD(c_p0, s6, c_response))),
% 51.00/33.63 inference(rewrite,[status(thm)],[])).
% 51.00/33.63 tff(25159,plain,
% 51.00/33.63 ((m_processor_v_CMD(c_p0, s6, c_response) | (~node49(c_p0, s6))) <=> ((~node49(c_p0, s6)) | m_processor_v_CMD(c_p0, s6, c_response))),
% 51.00/33.63 inference(rewrite,[status(thm)],[])).
% 51.00/33.63 tff(25160,plain,
% 51.00/33.63 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p0, s6, c_response) | (~node49(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | ((~node49(c_p0, s6)) | m_processor_v_CMD(c_p0, s6, c_response)))),
% 51.00/33.63 inference(monotonicity,[status(thm)],[25159])).
% 51.00/33.63 tff(25161,plain,
% 51.00/33.63 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p0, s6, c_response) | (~node49(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p0, s6)) | m_processor_v_CMD(c_p0, s6, c_response))),
% 51.00/33.63 inference(transitivity,[status(thm)],[25160, 25158])).
% 51.00/33.63 tff(25162,plain,
% 51.00/33.63 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p0, s6, c_response) | (~node49(c_p0, s6)))),
% 51.00/33.63 inference(quant_inst,[status(thm)],[])).
% 51.00/33.63 tff(25163,plain,
% 51.00/33.63 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p0, s6)) | m_processor_v_CMD(c_p0, s6, c_response)),
% 51.00/33.63 inference(modus_ponens,[status(thm)],[25162, 25161])).
% 51.00/33.63 tff(25164,plain,
% 51.00/33.63 ($false),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[25163, 11579, 25157, 25156])).
% 51.00/33.63 tff(25165,plain,((~node49(c_p0, s6)) | m_processor_v_CMD(c_p0, s6, c_response)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.63 tff(25166,plain,
% 51.00/33.63 (~node49(c_p0, s6)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[25165, 25155])).
% 51.00/33.63 tff(25167,plain,
% 51.00/33.63 (~node61(c_p0, s6)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18395, 25093, 25124])).
% 51.00/33.63 tff(25168,plain,
% 51.00/33.63 (~m_processor_v_abort(c_p0, s6)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18403, 25167, 25121])).
% 51.00/33.63 tff(25169,plain,
% 51.00/33.63 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p0, s6) | (~node47(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p0, s6) | (~node47(c_p0, s6)))),
% 51.00/33.63 inference(rewrite,[status(thm)],[])).
% 51.00/33.63 tff(25170,plain,
% 51.00/33.63 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p0, s6) | (~node47(c_p0, s6)))),
% 51.00/33.63 inference(quant_inst,[status(thm)],[])).
% 51.00/33.63 tff(25171,plain,
% 51.00/33.63 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p0, s6) | (~node47(c_p0, s6))),
% 51.00/33.63 inference(modus_ponens,[status(thm)],[25170, 25169])).
% 51.00/33.63 tff(25172,plain,
% 51.00/33.63 (~node47(c_p0, s6)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[25171, 12108, 25132])).
% 51.00/33.63 tff(25173,plain,
% 51.00/33.63 (~m_main_v_CMD(s6, c_write_h_resp_h_shared)),
% 51.00/33.63 inference(unit_resolution,[status(thm)],[18680, 7650, 25134])).
% 51.00/33.63 tff(25174,plain,
% 51.00/33.63 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s6, c_write_h_resp_h_shared) | (~node2(s6)) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s6, c_write_h_resp_h_shared) | (~node2(s6)) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)))),
% 51.00/33.63 inference(rewrite,[status(thm)],[])).
% 51.00/33.63 tff(25175,plain,
% 51.00/33.63 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | (m_main_v_CMD(s6, c_write_h_resp_h_shared) | (~node2(s6)) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)))),
% 51.00/33.64 inference(quant_inst,[status(thm)],[])).
% 51.00/33.64 tff(25176,plain,
% 51.00/33.64 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node2(X)) | (~m_processor_v_CMD(c_p0, X, V)))) | m_main_v_CMD(s6, c_write_h_resp_h_shared) | (~node2(s6)) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared))),
% 51.00/33.64 inference(modus_ponens,[status(thm)],[25175, 25174])).
% 51.00/33.64 tff(25177,plain,
% 51.00/33.64 (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)),
% 51.00/33.64 inference(unit_resolution,[status(thm)],[25176, 1612, 14355, 25173])).
% 51.00/33.64 tff(25178,assumption,(node51(c_p0, s6)), introduced(assumption)).
% 51.00/33.64 tff(25179,plain,
% 51.00/33.64 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared) | (~node51(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared) | (~node51(c_p0, s6)))),
% 51.00/33.64 inference(rewrite,[status(thm)],[])).
% 51.00/33.64 tff(25180,plain,
% 51.00/33.64 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared) | (~node51(c_p0, s6)))),
% 51.00/33.64 inference(quant_inst,[status(thm)],[])).
% 51.00/33.64 tff(25181,plain,
% 51.00/33.64 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared) | (~node51(c_p0, s6))),
% 51.00/33.64 inference(modus_ponens,[status(thm)],[25180, 25179])).
% 51.00/33.64 tff(25182,plain,
% 51.00/33.64 ($false),
% 51.00/33.64 inference(unit_resolution,[status(thm)],[25181, 11549, 18423, 25178])).
% 51.00/33.64 tff(25183,plain,((~node51(c_p0, s6)) | m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.64 tff(25184,plain,
% 51.00/33.64 (~node51(c_p0, s6)),
% 51.00/33.64 inference(unit_resolution,[status(thm)],[25183, 25177])).
% 51.00/33.64 tff(25185,plain,
% 51.00/33.64 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s6) | node50(c_p0, s6) | node51(c_p0, s6) | node49(c_p0, s6) | node48(c_p0, s6) | node47(c_p0, s6) | node52(c_p0, s6, s7) | (~node53(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p0, s6) | node50(c_p0, s6) | node51(c_p0, s6) | node49(c_p0, s6) | node48(c_p0, s6) | node47(c_p0, s6) | node52(c_p0, s6, s7) | (~node53(c_p0, s6, s7)))),
% 51.00/33.64 inference(rewrite,[status(thm)],[])).
% 51.00/33.64 tff(25186,plain,
% 51.00/33.64 ((m_processor_v_abort(c_p0, s6) | node47(c_p0, s6) | node48(c_p0, s6) | node49(c_p0, s6) | node50(c_p0, s6) | node51(c_p0, s6) | node52(c_p0, s6, s7) | (~node53(c_p0, s6, s7))) <=> (m_processor_v_abort(c_p0, s6) | node50(c_p0, s6) | node51(c_p0, s6) | node49(c_p0, s6) | node48(c_p0, s6) | node47(c_p0, s6) | node52(c_p0, s6, s7) | (~node53(c_p0, s6, s7)))),
% 51.00/33.64 inference(rewrite,[status(thm)],[])).
% 51.00/33.64 tff(25187,plain,
% 51.00/33.64 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s6) | node47(c_p0, s6) | node48(c_p0, s6) | node49(c_p0, s6) | node50(c_p0, s6) | node51(c_p0, s6) | node52(c_p0, s6, s7) | (~node53(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s6) | node50(c_p0, s6) | node51(c_p0, s6) | node49(c_p0, s6) | node48(c_p0, s6) | node47(c_p0, s6) | node52(c_p0, s6, s7) | (~node53(c_p0, s6, s7))))),
% 51.00/33.64 inference(monotonicity,[status(thm)],[25186])).
% 51.00/33.64 tff(25188,plain,
% 51.00/33.64 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s6) | node47(c_p0, s6) | node48(c_p0, s6) | node49(c_p0, s6) | node50(c_p0, s6) | node51(c_p0, s6) | node52(c_p0, s6, s7) | (~node53(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p0, s6) | node50(c_p0, s6) | node51(c_p0, s6) | node49(c_p0, s6) | node48(c_p0, s6) | node47(c_p0, s6) | node52(c_p0, s6, s7) | (~node53(c_p0, s6, s7)))),
% 51.00/33.64 inference(transitivity,[status(thm)],[25187, 25185])).
% 51.00/33.64 tff(25189,plain,
% 51.00/33.64 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p0, s6) | node47(c_p0, s6) | node48(c_p0, s6) | node49(c_p0, s6) | node50(c_p0, s6) | node51(c_p0, s6) | node52(c_p0, s6, s7) | (~node53(c_p0, s6, s7)))),
% 51.00/33.64 inference(quant_inst,[status(thm)],[])).
% 51.00/33.64 tff(25190,plain,
% 51.00/33.64 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p0, s6) | node50(c_p0, s6) | node51(c_p0, s6) | node49(c_p0, s6) | node48(c_p0, s6) | node47(c_p0, s6) | node52(c_p0, s6, s7) | (~node53(c_p0, s6, s7))),
% 51.00/33.64 inference(modus_ponens,[status(thm)],[25189, 25188])).
% 51.00/33.64 tff(25191,plain,
% 51.00/33.64 (m_processor_v_abort(c_p0, s6) | node50(c_p0, s6) | node51(c_p0, s6) | node49(c_p0, s6) | node48(c_p0, s6) | node47(c_p0, s6) | node52(c_p0, s6, s7)),
% 51.00/33.64 inference(unit_resolution,[status(thm)],[25190, 11612, 2549])).
% 51.00/33.64 tff(25192,plain,
% 51.00/33.64 (node52(c_p0, s6, s7)),
% 51.00/33.64 inference(unit_resolution,[status(thm)],[25191, 25184, 25172, 25168, 25166, 25146, 25100])).
% 51.00/33.64 tff(25193,assumption,(node52(c_p0, s6, s7)), introduced(assumption)).
% 51.00/33.64 tff(25194,plain,
% 51.00/33.64 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s6) | (~m_processor_v_waiting(c_p0, s7)) | (~node52(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | m_processor_v_waiting(c_p0, s6) | (~m_processor_v_waiting(c_p0, s7)) | (~node52(c_p0, s6, s7)))),
% 51.00/33.64 inference(rewrite,[status(thm)],[])).
% 51.00/33.64 tff(25195,plain,
% 51.00/33.64 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s6) | (~m_processor_v_waiting(c_p0, s7)) | (~node52(c_p0, s6, s7)))),
% 51.00/33.64 inference(quant_inst,[status(thm)],[])).
% 51.00/33.64 tff(25196,plain,
% 51.00/33.64 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, X) | (~m_processor_v_waiting(I0, Y)) | (~node52(I0, X, Y)))) | m_processor_v_waiting(c_p0, s6) | (~m_processor_v_waiting(c_p0, s7)) | (~node52(c_p0, s6, s7))),
% 51.00/33.64 inference(modus_ponens,[status(thm)],[25195, 25194])).
% 51.00/33.64 tff(25197,plain,
% 51.00/33.64 ($false),
% 51.00/33.64 inference(unit_resolution,[status(thm)],[25196, 20180, 23441, 2, 25193])).
% 51.00/33.64 tff(25198,plain,((~node52(c_p0, s6, s7)) | (~m_processor_v_waiting(c_p0, s7)) | m_processor_v_waiting(c_p0, s6)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.64 tff(25199,plain,
% 51.00/33.64 (~m_processor_v_waiting(c_p0, s7)),
% 51.00/33.64 inference(unit_resolution,[status(thm)],[25198, 25192, 25081])).
% 51.00/33.64 tff(25200,plain,
% 51.00/33.64 (m_processor_v_waiting(c_p1, s7)),
% 51.00/33.64 inference(unit_resolution,[status(thm)],[18749, 25199, 785, 2326, 2358, 13405, 24993, 53, 13435])).
% 51.00/33.64 tff(25201,assumption,(node52(c_p1, s7, s8)), introduced(assumption)).
% 51.00/33.64 tff(25202,assumption,(m_processor_v_waiting(c_p1, s7)), introduced(assumption)).
% 51.00/33.64 tff(25203,plain,
% 51.00/33.64 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p1, s7)) | m_processor_v_waiting(c_p1, s8) | (~node52(c_p1, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s7)) | m_processor_v_waiting(c_p1, s8) | (~node52(c_p1, s7, s8)))),
% 51.00/33.64 inference(rewrite,[status(thm)],[])).
% 51.00/33.64 tff(25204,plain,
% 51.00/33.64 ((m_processor_v_waiting(c_p1, s8) | (~m_processor_v_waiting(c_p1, s7)) | (~node52(c_p1, s7, s8))) <=> ((~m_processor_v_waiting(c_p1, s7)) | m_processor_v_waiting(c_p1, s8) | (~node52(c_p1, s7, s8)))),
% 51.00/33.64 inference(rewrite,[status(thm)],[])).
% 51.00/33.64 tff(25205,plain,
% 51.00/33.64 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s8) | (~m_processor_v_waiting(c_p1, s7)) | (~node52(c_p1, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p1, s7)) | m_processor_v_waiting(c_p1, s8) | (~node52(c_p1, s7, s8))))),
% 51.00/33.64 inference(monotonicity,[status(thm)],[25204])).
% 51.00/33.64 tff(25206,plain,
% 51.00/33.64 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s8) | (~m_processor_v_waiting(c_p1, s7)) | (~node52(c_p1, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s7)) | m_processor_v_waiting(c_p1, s8) | (~node52(c_p1, s7, s8)))),
% 51.00/33.64 inference(transitivity,[status(thm)],[25205, 25203])).
% 51.00/33.64 tff(25207,plain,
% 51.00/33.64 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s8) | (~m_processor_v_waiting(c_p1, s7)) | (~node52(c_p1, s7, s8)))),
% 51.00/33.64 inference(quant_inst,[status(thm)],[])).
% 51.00/33.64 tff(25208,plain,
% 51.00/33.64 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s7)) | m_processor_v_waiting(c_p1, s8) | (~node52(c_p1, s7, s8))),
% 51.00/33.64 inference(modus_ponens,[status(thm)],[25207, 25206])).
% 51.00/33.64 tff(25209,plain,
% 51.00/33.64 ($false),
% 51.00/33.64 inference(unit_resolution,[status(thm)],[25208, 10820, 25202, 24992, 25201])).
% 51.00/33.64 tff(25210,plain,((~node52(c_p1, s7, s8)) | (~m_processor_v_waiting(c_p1, s7)) | m_processor_v_waiting(c_p1, s8)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.64 tff(25211,plain,
% 51.00/33.64 (~node52(c_p1, s7, s8)),
% 51.00/33.64 inference(unit_resolution,[status(thm)],[25210, 25200, 24992])).
% 51.00/33.64 tff(25212,plain,
% 51.00/33.64 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s6, c_response) | (~node1(s6)) | (~m_memory_v_CMD(c_m, s6, c_response)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s6, c_response) | (~node1(s6)) | (~m_memory_v_CMD(c_m, s6, c_response)))),
% 51.00/33.64 inference(rewrite,[status(thm)],[])).
% 51.00/33.64 tff(25213,plain,
% 51.00/33.64 (((~node1(s6)) | m_main_v_CMD(s6, c_response) | (~m_memory_v_CMD(c_m, s6, c_response))) <=> (m_main_v_CMD(s6, c_response) | (~node1(s6)) | (~m_memory_v_CMD(c_m, s6, c_response)))),
% 51.00/33.64 inference(rewrite,[status(thm)],[])).
% 51.00/33.64 tff(25214,plain,
% 51.00/33.64 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s6)) | m_main_v_CMD(s6, c_response) | (~m_memory_v_CMD(c_m, s6, c_response)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s6, c_response) | (~node1(s6)) | (~m_memory_v_CMD(c_m, s6, c_response))))),
% 51.00/33.64 inference(monotonicity,[status(thm)],[25213])).
% 51.00/33.64 tff(25215,plain,
% 51.00/33.64 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s6)) | m_main_v_CMD(s6, c_response) | (~m_memory_v_CMD(c_m, s6, c_response)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s6, c_response) | (~node1(s6)) | (~m_memory_v_CMD(c_m, s6, c_response)))),
% 51.00/33.64 inference(transitivity,[status(thm)],[25214, 25212])).
% 51.00/33.64 tff(25216,plain,
% 51.00/33.64 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s6)) | m_main_v_CMD(s6, c_response) | (~m_memory_v_CMD(c_m, s6, c_response)))),
% 51.00/33.64 inference(quant_inst,[status(thm)],[])).
% 51.00/33.64 tff(25217,plain,
% 51.00/33.64 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s6, c_response) | (~node1(s6)) | (~m_memory_v_CMD(c_m, s6, c_response))),
% 51.00/33.64 inference(modus_ponens,[status(thm)],[25216, 25215])).
% 51.00/33.64 tff(25218,plain,
% 51.00/33.64 (~m_memory_v_CMD(c_m, s6, c_response)),
% 51.00/33.64 inference(unit_resolution,[status(thm)],[25217, 4693, 24267, 25147])).
% 51.00/33.64 tff(25219,plain,
% 51.00/33.64 (((~![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))) | ((~node19(c_m, s6)) | m_memory_v_CMD(c_m, s6, c_response))) <=> ((~![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))) | (~node19(c_m, s6)) | m_memory_v_CMD(c_m, s6, c_response))),
% 51.00/33.64 inference(rewrite,[status(thm)],[])).
% 51.00/33.64 tff(25220,plain,
% 51.00/33.64 ((~![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))) | ((~node19(c_m, s6)) | m_memory_v_CMD(c_m, s6, c_response))),
% 51.00/33.64 inference(quant_inst,[status(thm)],[])).
% 51.00/33.64 tff(25221,plain,
% 51.00/33.64 ((~![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))) | (~node19(c_m, s6)) | m_memory_v_CMD(c_m, s6, c_response)),
% 51.00/33.64 inference(modus_ponens,[status(thm)],[25220, 25219])).
% 51.00/33.64 tff(25222,plain,
% 51.00/33.64 (~node19(c_m, s6)),
% 51.00/33.64 inference(unit_resolution,[status(thm)],[25221, 10075, 25218])).
% 51.00/33.64 tff(25223,assumption,(m_memory_v_REPLY_h_STALL(c_m, s6)), introduced(assumption)).
% 51.00/33.64 tff(25224,plain,
% 51.00/33.64 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | (m_main_v_REPLY_h_STALL(s6) | (~m_memory_v_REPLY_h_STALL(c_m, s6)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | m_main_v_REPLY_h_STALL(s6) | (~m_memory_v_REPLY_h_STALL(c_m, s6)))),
% 51.00/33.64 inference(rewrite,[status(thm)],[])).
% 51.00/33.64 tff(25225,plain,
% 51.00/33.64 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | (m_main_v_REPLY_h_STALL(s6) | (~m_memory_v_REPLY_h_STALL(c_m, s6)))),
% 51.00/33.64 inference(quant_inst,[status(thm)],[])).
% 51.00/33.64 tff(25226,plain,
% 51.00/33.64 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | m_main_v_REPLY_h_STALL(s6) | (~m_memory_v_REPLY_h_STALL(c_m, s6))),
% 51.00/33.64 inference(modus_ponens,[status(thm)],[25225, 25224])).
% 51.00/33.64 tff(25227,plain,
% 51.00/33.64 ($false),
% 51.00/33.64 inference(unit_resolution,[status(thm)],[25226, 4014, 16284, 25223])).
% 51.00/33.64 tff(25228,plain,((~m_memory_v_REPLY_h_STALL(c_m, s6)) | m_main_v_REPLY_h_STALL(s6)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.64 tff(25229,plain,
% 51.00/33.64 (~m_memory_v_REPLY_h_STALL(c_m, s6)),
% 51.00/33.64 inference(unit_resolution,[status(thm)],[25228, 25120])).
% 51.00/33.64 tff(25230,assumption,(m_memory_v_CMD(c_m, s6, c_read_h_shared)), introduced(assumption)).
% 51.00/33.64 tff(25231,plain,
% 51.00/33.64 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s6, c_read_h_shared) | (~node1(s6)) | (~m_memory_v_CMD(c_m, s6, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s6, c_read_h_shared) | (~node1(s6)) | (~m_memory_v_CMD(c_m, s6, c_read_h_shared)))),
% 51.00/33.64 inference(rewrite,[status(thm)],[])).
% 51.00/33.64 tff(25232,plain,
% 51.00/33.64 (((~node1(s6)) | m_main_v_CMD(s6, c_read_h_shared) | (~m_memory_v_CMD(c_m, s6, c_read_h_shared))) <=> (m_main_v_CMD(s6, c_read_h_shared) | (~node1(s6)) | (~m_memory_v_CMD(c_m, s6, c_read_h_shared)))),
% 51.00/33.64 inference(rewrite,[status(thm)],[])).
% 51.00/33.64 tff(25233,plain,
% 51.00/33.64 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s6)) | m_main_v_CMD(s6, c_read_h_shared) | (~m_memory_v_CMD(c_m, s6, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s6, c_read_h_shared) | (~node1(s6)) | (~m_memory_v_CMD(c_m, s6, c_read_h_shared))))),
% 51.00/33.64 inference(monotonicity,[status(thm)],[25232])).
% 51.00/33.64 tff(25234,plain,
% 51.00/33.64 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s6)) | m_main_v_CMD(s6, c_read_h_shared) | (~m_memory_v_CMD(c_m, s6, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s6, c_read_h_shared) | (~node1(s6)) | (~m_memory_v_CMD(c_m, s6, c_read_h_shared)))),
% 51.00/33.64 inference(transitivity,[status(thm)],[25233, 25231])).
% 51.00/33.64 tff(25235,plain,
% 51.00/33.64 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s6)) | m_main_v_CMD(s6, c_read_h_shared) | (~m_memory_v_CMD(c_m, s6, c_read_h_shared)))),
% 51.00/33.64 inference(quant_inst,[status(thm)],[])).
% 51.00/33.64 tff(25236,plain,
% 51.00/33.64 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s6, c_read_h_shared) | (~node1(s6)) | (~m_memory_v_CMD(c_m, s6, c_read_h_shared))),
% 51.00/33.64 inference(modus_ponens,[status(thm)],[25235, 25234])).
% 51.00/33.64 tff(25237,plain,
% 51.00/33.64 ($false),
% 51.00/33.64 inference(unit_resolution,[status(thm)],[25236, 4693, 24267, 14317, 25230])).
% 51.00/33.64 tff(25238,plain,((~m_memory_v_CMD(c_m, s6, c_read_h_shared)) | m_main_v_CMD(s6, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.64 tff(25239,plain,
% 51.00/33.64 (~m_memory_v_CMD(c_m, s6, c_read_h_shared)),
% 51.00/33.64 inference(unit_resolution,[status(thm)],[25238, 25123])).
% 51.00/33.64 tff(25240,plain,
% 51.00/33.64 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s6, c_read_h_owned) | (~node1(s6)) | (~m_memory_v_CMD(c_m, s6, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s6, c_read_h_owned) | (~node1(s6)) | (~m_memory_v_CMD(c_m, s6, c_read_h_owned)))),
% 51.00/33.64 inference(rewrite,[status(thm)],[])).
% 51.00/33.64 tff(25241,plain,
% 51.00/33.64 (((~node1(s6)) | m_main_v_CMD(s6, c_read_h_owned) | (~m_memory_v_CMD(c_m, s6, c_read_h_owned))) <=> (m_main_v_CMD(s6, c_read_h_owned) | (~node1(s6)) | (~m_memory_v_CMD(c_m, s6, c_read_h_owned)))),
% 51.00/33.64 inference(rewrite,[status(thm)],[])).
% 51.00/33.64 tff(25242,plain,
% 51.00/33.64 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s6)) | m_main_v_CMD(s6, c_read_h_owned) | (~m_memory_v_CMD(c_m, s6, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s6, c_read_h_owned) | (~node1(s6)) | (~m_memory_v_CMD(c_m, s6, c_read_h_owned))))),
% 51.00/33.64 inference(monotonicity,[status(thm)],[25241])).
% 51.00/33.64 tff(25243,plain,
% 51.00/33.64 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s6)) | m_main_v_CMD(s6, c_read_h_owned) | (~m_memory_v_CMD(c_m, s6, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s6, c_read_h_owned) | (~node1(s6)) | (~m_memory_v_CMD(c_m, s6, c_read_h_owned)))),
% 51.00/33.64 inference(transitivity,[status(thm)],[25242, 25240])).
% 51.00/33.64 tff(25244,plain,
% 51.00/33.64 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s6)) | m_main_v_CMD(s6, c_read_h_owned) | (~m_memory_v_CMD(c_m, s6, c_read_h_owned)))),
% 51.00/33.64 inference(quant_inst,[status(thm)],[])).
% 51.00/33.64 tff(25245,plain,
% 51.00/33.64 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s6, c_read_h_owned) | (~node1(s6)) | (~m_memory_v_CMD(c_m, s6, c_read_h_owned))),
% 51.00/33.64 inference(modus_ponens,[status(thm)],[25244, 25243])).
% 51.00/33.64 tff(25246,plain,
% 51.00/33.64 ($false),
% 51.00/33.64 inference(unit_resolution,[status(thm)],[25245, 4693, 24267, 14208, 24275])).
% 51.00/33.64 tff(25247,plain,((~m_memory_v_CMD(c_m, s6, c_read_h_owned)) | m_main_v_CMD(s6, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.64 tff(25248,plain,
% 51.00/33.64 (~m_memory_v_CMD(c_m, s6, c_read_h_owned)),
% 51.00/33.64 inference(unit_resolution,[status(thm)],[25247, 25092])).
% 51.00/33.64 tff(25249,assumption,(~m_memory_v_CMD(c_m, s6, c_read_h_shared)), introduced(assumption)).
% 51.00/33.64 tff(25250,plain,
% 51.00/33.64 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | ((~node27(c_m, s6)) | m_memory_v_CMD(c_m, s6, c_read_h_owned) | m_memory_v_CMD(c_m, s6, c_read_h_shared))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (~node27(c_m, s6)) | m_memory_v_CMD(c_m, s6, c_read_h_owned) | m_memory_v_CMD(c_m, s6, c_read_h_shared))),
% 51.00/33.64 inference(rewrite,[status(thm)],[])).
% 51.00/33.64 tff(25251,plain,
% 51.00/33.64 ((m_memory_v_CMD(c_m, s6, c_read_h_owned) | m_memory_v_CMD(c_m, s6, c_read_h_shared) | (~node27(c_m, s6))) <=> ((~node27(c_m, s6)) | m_memory_v_CMD(c_m, s6, c_read_h_owned) | m_memory_v_CMD(c_m, s6, c_read_h_shared))),
% 51.00/33.64 inference(rewrite,[status(thm)],[])).
% 51.00/33.64 tff(25252,plain,
% 51.00/33.64 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (m_memory_v_CMD(c_m, s6, c_read_h_owned) | m_memory_v_CMD(c_m, s6, c_read_h_shared) | (~node27(c_m, s6)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | ((~node27(c_m, s6)) | m_memory_v_CMD(c_m, s6, c_read_h_owned) | m_memory_v_CMD(c_m, s6, c_read_h_shared)))),
% 51.00/33.64 inference(monotonicity,[status(thm)],[25251])).
% 51.00/33.64 tff(25253,plain,
% 51.00/33.64 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (m_memory_v_CMD(c_m, s6, c_read_h_owned) | m_memory_v_CMD(c_m, s6, c_read_h_shared) | (~node27(c_m, s6)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (~node27(c_m, s6)) | m_memory_v_CMD(c_m, s6, c_read_h_owned) | m_memory_v_CMD(c_m, s6, c_read_h_shared))),
% 51.00/33.64 inference(transitivity,[status(thm)],[25252, 25250])).
% 51.00/33.64 tff(25254,plain,
% 51.00/33.64 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (m_memory_v_CMD(c_m, s6, c_read_h_owned) | m_memory_v_CMD(c_m, s6, c_read_h_shared) | (~node27(c_m, s6)))),
% 51.00/33.64 inference(quant_inst,[status(thm)],[])).
% 51.00/33.64 tff(25255,plain,
% 51.00/33.64 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node27(I0, X)))) | (~node27(c_m, s6)) | m_memory_v_CMD(c_m, s6, c_read_h_owned) | m_memory_v_CMD(c_m, s6, c_read_h_shared)),
% 51.00/33.64 inference(modus_ponens,[status(thm)],[25254, 25253])).
% 51.00/33.64 tff(25256,plain,
% 51.00/33.64 (~node27(c_m, s6)),
% 51.00/33.64 inference(unit_resolution,[status(thm)],[25255, 4738, 25249, 24263])).
% 51.00/33.64 tff(25257,plain,
% 51.00/33.64 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | (m_memory_v_CMD(c_m, s6, c_read_h_owned) | m_memory_v_CMD(c_m, s6, c_read_h_shared) | (~node28(c_m, s6)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | m_memory_v_CMD(c_m, s6, c_read_h_owned) | m_memory_v_CMD(c_m, s6, c_read_h_shared) | (~node28(c_m, s6)))),
% 51.00/33.64 inference(rewrite,[status(thm)],[])).
% 51.00/33.64 tff(25258,plain,
% 51.00/33.64 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | (m_memory_v_CMD(c_m, s6, c_read_h_owned) | m_memory_v_CMD(c_m, s6, c_read_h_shared) | (~node28(c_m, s6)))),
% 51.00/33.64 inference(quant_inst,[status(thm)],[])).
% 51.00/33.64 tff(25259,plain,
% 51.00/33.64 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node28(I0, X)))) | m_memory_v_CMD(c_m, s6, c_read_h_owned) | m_memory_v_CMD(c_m, s6, c_read_h_shared) | (~node28(c_m, s6))),
% 51.00/33.64 inference(modus_ponens,[status(thm)],[25258, 25257])).
% 51.00/33.64 tff(25260,plain,
% 51.00/33.64 (~node28(c_m, s6)),
% 51.00/33.64 inference(unit_resolution,[status(thm)],[25259, 4717, 25249, 24263])).
% 51.00/33.64 tff(25261,assumption,(m_memory_v_abort(c_m, s6)), introduced(assumption)).
% 51.00/33.64 tff(25262,assumption,(~m_memory_v_REPLY_h_STALL(c_m, s6)), introduced(assumption)).
% 51.00/33.64 tff(25263,plain,
% 51.00/33.64 (((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | ((~m_memory_v_abort(c_m, s6)) | m_memory_v_REPLY_h_STALL(c_m, s6) | node27(c_m, s6) | node28(c_m, s6))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | (~m_memory_v_abort(c_m, s6)) | m_memory_v_REPLY_h_STALL(c_m, s6) | node27(c_m, s6) | node28(c_m, s6))),
% 51.00/33.65 inference(rewrite,[status(thm)],[])).
% 51.00/33.65 tff(25264,plain,
% 51.00/33.65 ((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | ((~m_memory_v_abort(c_m, s6)) | m_memory_v_REPLY_h_STALL(c_m, s6) | node27(c_m, s6) | node28(c_m, s6))),
% 51.00/33.65 inference(quant_inst,[status(thm)],[])).
% 51.00/33.65 tff(25265,plain,
% 51.00/33.65 ((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | (~m_memory_v_abort(c_m, s6)) | m_memory_v_REPLY_h_STALL(c_m, s6) | node27(c_m, s6) | node28(c_m, s6)),
% 51.00/33.65 inference(modus_ponens,[status(thm)],[25264, 25263])).
% 51.00/33.65 tff(25266,plain,
% 51.00/33.65 ($false),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25265, 4643, 25262, 25261, 25260, 25256])).
% 51.00/33.65 tff(25267,plain,(m_memory_v_CMD(c_m, s6, c_read_h_owned) | m_memory_v_REPLY_h_STALL(c_m, s6) | (~m_memory_v_abort(c_m, s6)) | m_memory_v_CMD(c_m, s6, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.65 tff(25268,plain,
% 51.00/33.65 (~m_memory_v_abort(c_m, s6)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25267, 25248, 25239, 25229])).
% 51.00/33.65 tff(25269,assumption,(node21(c_m, s6)), introduced(assumption)).
% 51.00/33.65 tff(25270,plain,
% 51.00/33.65 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | (m_memory_v_CMD(c_m, s6, c_read_h_owned) | m_memory_v_CMD(c_m, s6, c_read_h_shared) | (~node21(c_m, s6)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | m_memory_v_CMD(c_m, s6, c_read_h_owned) | m_memory_v_CMD(c_m, s6, c_read_h_shared) | (~node21(c_m, s6)))),
% 51.00/33.65 inference(rewrite,[status(thm)],[])).
% 51.00/33.65 tff(25271,plain,
% 51.00/33.65 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | (m_memory_v_CMD(c_m, s6, c_read_h_owned) | m_memory_v_CMD(c_m, s6, c_read_h_shared) | (~node21(c_m, s6)))),
% 51.00/33.65 inference(quant_inst,[status(thm)],[])).
% 51.00/33.65 tff(25272,plain,
% 51.00/33.65 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | m_memory_v_CMD(c_m, s6, c_read_h_owned) | m_memory_v_CMD(c_m, s6, c_read_h_shared) | (~node21(c_m, s6))),
% 51.00/33.65 inference(modus_ponens,[status(thm)],[25271, 25270])).
% 51.00/33.65 tff(25273,plain,
% 51.00/33.65 ($false),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25272, 7430, 24263, 25249, 25269])).
% 51.00/33.65 tff(25274,plain,((~node21(c_m, s6)) | m_memory_v_CMD(c_m, s6, c_read_h_owned) | m_memory_v_CMD(c_m, s6, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.65 tff(25275,plain,
% 51.00/33.65 (~node21(c_m, s6)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25274, 25248, 25239])).
% 51.00/33.65 tff(25276,plain,
% 51.00/33.65 (((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (node19(c_m, s6) | node22(c_m, s6, s7) | node21(c_m, s6) | (~node23(c_m, s6, s7)) | m_memory_v_abort(c_m, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | node19(c_m, s6) | node22(c_m, s6, s7) | node21(c_m, s6) | (~node23(c_m, s6, s7)) | m_memory_v_abort(c_m, s6))),
% 51.00/33.65 inference(rewrite,[status(thm)],[])).
% 51.00/33.65 tff(25277,plain,
% 51.00/33.65 ((node19(c_m, s6) | node21(c_m, s6) | node22(c_m, s6, s7) | (~node23(c_m, s6, s7)) | m_memory_v_abort(c_m, s6)) <=> (node19(c_m, s6) | node22(c_m, s6, s7) | node21(c_m, s6) | (~node23(c_m, s6, s7)) | m_memory_v_abort(c_m, s6))),
% 51.00/33.65 inference(rewrite,[status(thm)],[])).
% 51.00/33.65 tff(25278,plain,
% 51.00/33.65 (((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (node19(c_m, s6) | node21(c_m, s6) | node22(c_m, s6, s7) | (~node23(c_m, s6, s7)) | m_memory_v_abort(c_m, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (node19(c_m, s6) | node22(c_m, s6, s7) | node21(c_m, s6) | (~node23(c_m, s6, s7)) | m_memory_v_abort(c_m, s6)))),
% 51.00/33.65 inference(monotonicity,[status(thm)],[25277])).
% 51.00/33.65 tff(25279,plain,
% 51.00/33.65 (((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (node19(c_m, s6) | node21(c_m, s6) | node22(c_m, s6, s7) | (~node23(c_m, s6, s7)) | m_memory_v_abort(c_m, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | node19(c_m, s6) | node22(c_m, s6, s7) | node21(c_m, s6) | (~node23(c_m, s6, s7)) | m_memory_v_abort(c_m, s6))),
% 51.00/33.65 inference(transitivity,[status(thm)],[25278, 25276])).
% 51.00/33.65 tff(25280,plain,
% 51.00/33.65 ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (node19(c_m, s6) | node21(c_m, s6) | node22(c_m, s6, s7) | (~node23(c_m, s6, s7)) | m_memory_v_abort(c_m, s6))),
% 51.00/33.65 inference(quant_inst,[status(thm)],[])).
% 51.00/33.65 tff(25281,plain,
% 51.00/33.65 ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | node19(c_m, s6) | node22(c_m, s6, s7) | node21(c_m, s6) | (~node23(c_m, s6, s7)) | m_memory_v_abort(c_m, s6)),
% 51.00/33.65 inference(modus_ponens,[status(thm)],[25280, 25279])).
% 51.00/33.65 tff(25282,plain,
% 51.00/33.65 (node19(c_m, s6) | node22(c_m, s6, s7) | node21(c_m, s6) | m_memory_v_abort(c_m, s6)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25281, 7365, 24302])).
% 51.00/33.65 tff(25283,plain,
% 51.00/33.65 (node22(c_m, s6, s7)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25282, 25275, 25268, 25222])).
% 51.00/33.65 tff(25284,assumption,(node22(c_m, s6, s7)), introduced(assumption)).
% 51.00/33.65 tff(25285,plain,
% 51.00/33.65 (((~![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))) | (m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s7)) | (~node22(c_m, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))) | m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s7)) | (~node22(c_m, s6, s7)))),
% 51.00/33.65 inference(rewrite,[status(thm)],[])).
% 51.00/33.65 tff(25286,plain,
% 51.00/33.65 ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))) | (m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s7)) | (~node22(c_m, s6, s7)))),
% 51.00/33.65 inference(quant_inst,[status(thm)],[])).
% 51.00/33.65 tff(25287,plain,
% 51.00/33.65 ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))) | m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s7)) | (~node22(c_m, s6, s7))),
% 51.00/33.65 inference(modus_ponens,[status(thm)],[25286, 25285])).
% 51.00/33.65 tff(25288,plain,
% 51.00/33.65 ($false),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25287, 10374, 15465, 18288, 25284])).
% 51.00/33.65 tff(25289,plain,((~node22(c_m, s6, s7)) | (~m_memory_v_busy(c_m, s7)) | m_memory_v_busy(c_m, s6)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.65 tff(25290,plain,
% 51.00/33.65 (~m_memory_v_busy(c_m, s7)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25289, 25283, 25116])).
% 51.00/33.65 tff(25291,plain,
% 51.00/33.65 (~node29(c_m, s7)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[24392, 25290])).
% 51.00/33.65 tff(25292,plain,
% 51.00/33.65 (m_memory_v_cmd(c_m, s7, c_idle)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[13225, 25291])).
% 51.00/33.65 tff(25293,assumption,(~node52(c_p1, s7, s8)), introduced(assumption)).
% 51.00/33.65 tff(25294,assumption,(~node47(c_p1, s7)), introduced(assumption)).
% 51.00/33.65 tff(25295,plain,
% 51.00/33.65 (m_processor_v_cmd(c_p1, s7, c_idle)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[14619, 13051])).
% 51.00/33.65 tff(25296,plain,
% 51.00/33.65 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s7, c_write_h_resp_h_invalid) | (~node3(s7)) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s7, c_write_h_resp_h_invalid) | (~node3(s7)) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid)))),
% 51.00/33.65 inference(rewrite,[status(thm)],[])).
% 51.00/33.65 tff(25297,plain,
% 51.00/33.65 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s7, c_write_h_resp_h_invalid) | (~node3(s7)) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid)))),
% 51.00/33.65 inference(quant_inst,[status(thm)],[])).
% 51.00/33.65 tff(25298,plain,
% 51.00/33.65 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s7, c_write_h_resp_h_invalid) | (~node3(s7)) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid))),
% 51.00/33.65 inference(modus_ponens,[status(thm)],[25297, 25296])).
% 51.00/33.65 tff(25299,plain,
% 51.00/33.65 (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25298, 1260, 13178, 23746])).
% 51.00/33.65 tff(25300,plain,
% 51.00/33.65 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | (~node50(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | (~node50(c_p1, s7)))),
% 51.00/33.65 inference(rewrite,[status(thm)],[])).
% 51.00/33.65 tff(25301,plain,
% 51.00/33.65 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | (~node50(c_p1, s7)))),
% 51.00/33.65 inference(quant_inst,[status(thm)],[])).
% 51.00/33.65 tff(25302,plain,
% 51.00/33.65 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_invalid) | (~node50(c_p1, s7))),
% 51.00/33.65 inference(modus_ponens,[status(thm)],[25301, 25300])).
% 51.00/33.65 tff(25303,plain,
% 51.00/33.65 (~node50(c_p1, s7)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25302, 11598, 25299])).
% 51.00/33.65 tff(25304,assumption,(~node48(c_p1, s7)), introduced(assumption)).
% 51.00/33.65 tff(25305,plain,
% 51.00/33.65 ((~node12(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared))),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[23916, 3644, 23823])).
% 51.00/33.65 tff(25306,plain,
% 51.00/33.65 (~m_main_v_CMD(s7, c_write_h_resp_h_shared)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25305, 24578])).
% 51.00/33.65 tff(25307,assumption,(~node50(c_p1, s7)), introduced(assumption)).
% 51.00/33.65 tff(25308,plain,
% 51.00/33.65 ((~node12(s7)) | (~m_main_v_CMD(s7, c_response))),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[23932, 3644, 23812])).
% 51.00/33.65 tff(25309,plain,
% 51.00/33.65 (~m_main_v_CMD(s7, c_response)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25308, 24578])).
% 51.00/33.65 tff(25310,assumption,(m_processor_v_CMD(c_p1, s7, c_response)), introduced(assumption)).
% 51.00/33.65 tff(25311,plain,
% 51.00/33.65 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s7, c_response) | (~node3(s7)) | (~m_processor_v_CMD(c_p1, s7, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s7, c_response) | (~node3(s7)) | (~m_processor_v_CMD(c_p1, s7, c_response)))),
% 51.00/33.65 inference(rewrite,[status(thm)],[])).
% 51.00/33.65 tff(25312,plain,
% 51.00/33.65 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s7, c_response) | (~node3(s7)) | (~m_processor_v_CMD(c_p1, s7, c_response)))),
% 51.00/33.65 inference(quant_inst,[status(thm)],[])).
% 51.00/33.65 tff(25313,plain,
% 51.00/33.65 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s7, c_response) | (~node3(s7)) | (~m_processor_v_CMD(c_p1, s7, c_response))),
% 51.00/33.65 inference(modus_ponens,[status(thm)],[25312, 25311])).
% 51.00/33.65 tff(25314,plain,
% 51.00/33.65 ($false),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25313, 1260, 13178, 23719, 25310])).
% 51.00/33.65 tff(25315,plain,((~m_processor_v_CMD(c_p1, s7, c_response)) | m_main_v_CMD(s7, c_response)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.65 tff(25316,plain,
% 51.00/33.65 (~m_processor_v_CMD(c_p1, s7, c_response)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25315, 25309])).
% 51.00/33.65 tff(25317,assumption,(~m_processor_v_CMD(c_p1, s7, c_response)), introduced(assumption)).
% 51.00/33.65 tff(25318,assumption,(node49(c_p1, s7)), introduced(assumption)).
% 51.00/33.65 tff(25319,plain,
% 51.00/33.65 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | ((~node49(c_p1, s7)) | m_processor_v_CMD(c_p1, s7, c_response))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p1, s7)) | m_processor_v_CMD(c_p1, s7, c_response))),
% 51.00/33.65 inference(rewrite,[status(thm)],[])).
% 51.00/33.65 tff(25320,plain,
% 51.00/33.65 ((m_processor_v_CMD(c_p1, s7, c_response) | (~node49(c_p1, s7))) <=> ((~node49(c_p1, s7)) | m_processor_v_CMD(c_p1, s7, c_response))),
% 51.00/33.65 inference(rewrite,[status(thm)],[])).
% 51.00/33.65 tff(25321,plain,
% 51.00/33.65 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p1, s7, c_response) | (~node49(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | ((~node49(c_p1, s7)) | m_processor_v_CMD(c_p1, s7, c_response)))),
% 51.00/33.65 inference(monotonicity,[status(thm)],[25320])).
% 51.00/33.65 tff(25322,plain,
% 51.00/33.65 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p1, s7, c_response) | (~node49(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p1, s7)) | m_processor_v_CMD(c_p1, s7, c_response))),
% 51.00/33.65 inference(transitivity,[status(thm)],[25321, 25319])).
% 51.00/33.65 tff(25323,plain,
% 51.00/33.65 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p1, s7, c_response) | (~node49(c_p1, s7)))),
% 51.00/33.65 inference(quant_inst,[status(thm)],[])).
% 51.00/33.65 tff(25324,plain,
% 51.00/33.65 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p1, s7)) | m_processor_v_CMD(c_p1, s7, c_response)),
% 51.00/33.65 inference(modus_ponens,[status(thm)],[25323, 25322])).
% 51.00/33.65 tff(25325,plain,
% 51.00/33.65 ($false),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25324, 11579, 25318, 25317])).
% 51.00/33.65 tff(25326,plain,((~node49(c_p1, s7)) | m_processor_v_CMD(c_p1, s7, c_response)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.65 tff(25327,plain,
% 51.00/33.65 (~node49(c_p1, s7)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25326, 25316])).
% 51.00/33.65 tff(25328,plain,
% 51.00/33.65 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s7) | node48(c_p1, s7) | node47(c_p1, s7) | node51(c_p1, s7) | node50(c_p1, s7) | node49(c_p1, s7) | (~node53(c_p1, s7, s8)) | node52(c_p1, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p1, s7) | node48(c_p1, s7) | node47(c_p1, s7) | node51(c_p1, s7) | node50(c_p1, s7) | node49(c_p1, s7) | (~node53(c_p1, s7, s8)) | node52(c_p1, s7, s8))),
% 51.00/33.65 inference(rewrite,[status(thm)],[])).
% 51.00/33.65 tff(25329,plain,
% 51.00/33.65 ((m_processor_v_abort(c_p1, s7) | node47(c_p1, s7) | node48(c_p1, s7) | node49(c_p1, s7) | node50(c_p1, s7) | node51(c_p1, s7) | node52(c_p1, s7, s8) | (~node53(c_p1, s7, s8))) <=> (m_processor_v_abort(c_p1, s7) | node48(c_p1, s7) | node47(c_p1, s7) | node51(c_p1, s7) | node50(c_p1, s7) | node49(c_p1, s7) | (~node53(c_p1, s7, s8)) | node52(c_p1, s7, s8))),
% 51.00/33.65 inference(rewrite,[status(thm)],[])).
% 51.00/33.65 tff(25330,plain,
% 51.00/33.65 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s7) | node47(c_p1, s7) | node48(c_p1, s7) | node49(c_p1, s7) | node50(c_p1, s7) | node51(c_p1, s7) | node52(c_p1, s7, s8) | (~node53(c_p1, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s7) | node48(c_p1, s7) | node47(c_p1, s7) | node51(c_p1, s7) | node50(c_p1, s7) | node49(c_p1, s7) | (~node53(c_p1, s7, s8)) | node52(c_p1, s7, s8)))),
% 51.00/33.65 inference(monotonicity,[status(thm)],[25329])).
% 51.00/33.65 tff(25331,plain,
% 51.00/33.65 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s7) | node47(c_p1, s7) | node48(c_p1, s7) | node49(c_p1, s7) | node50(c_p1, s7) | node51(c_p1, s7) | node52(c_p1, s7, s8) | (~node53(c_p1, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p1, s7) | node48(c_p1, s7) | node47(c_p1, s7) | node51(c_p1, s7) | node50(c_p1, s7) | node49(c_p1, s7) | (~node53(c_p1, s7, s8)) | node52(c_p1, s7, s8))),
% 51.00/33.65 inference(transitivity,[status(thm)],[25330, 25328])).
% 51.00/33.65 tff(25332,plain,
% 51.00/33.65 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s7) | node47(c_p1, s7) | node48(c_p1, s7) | node49(c_p1, s7) | node50(c_p1, s7) | node51(c_p1, s7) | node52(c_p1, s7, s8) | (~node53(c_p1, s7, s8)))),
% 51.00/33.65 inference(quant_inst,[status(thm)],[])).
% 51.00/33.65 tff(25333,plain,
% 51.00/33.65 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p1, s7) | node48(c_p1, s7) | node47(c_p1, s7) | node51(c_p1, s7) | node50(c_p1, s7) | node49(c_p1, s7) | (~node53(c_p1, s7, s8)) | node52(c_p1, s7, s8)),
% 51.00/33.65 inference(modus_ponens,[status(thm)],[25332, 25331])).
% 51.00/33.65 tff(25334,plain,
% 51.00/33.65 (m_processor_v_abort(c_p1, s7) | node48(c_p1, s7) | node47(c_p1, s7) | node51(c_p1, s7) | node50(c_p1, s7) | node49(c_p1, s7) | node52(c_p1, s7, s8)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25333, 11612, 13164])).
% 51.00/33.65 tff(25335,plain,
% 51.00/33.65 (node51(c_p1, s7)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25334, 25327, 25294, 24006, 25304, 25293, 25307])).
% 51.00/33.65 tff(25336,assumption,(node51(c_p1, s7)), introduced(assumption)).
% 51.00/33.65 tff(25337,plain,
% 51.00/33.65 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared) | (~node51(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared) | (~node51(c_p1, s7)))),
% 51.00/33.65 inference(rewrite,[status(thm)],[])).
% 51.00/33.65 tff(25338,plain,
% 51.00/33.65 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared) | (~node51(c_p1, s7)))),
% 51.00/33.65 inference(quant_inst,[status(thm)],[])).
% 51.00/33.65 tff(25339,plain,
% 51.00/33.65 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared) | (~node51(c_p1, s7))),
% 51.00/33.65 inference(modus_ponens,[status(thm)],[25338, 25337])).
% 51.00/33.65 tff(25340,plain,
% 51.00/33.65 ($false),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25339, 11549, 24093, 25336])).
% 51.00/33.65 tff(25341,plain,((~node51(c_p1, s7)) | m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.65 tff(25342,plain,
% 51.00/33.65 (m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25341, 25335])).
% 51.00/33.65 tff(25343,plain,
% 51.00/33.65 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s7, c_write_h_resp_h_shared) | (~node3(s7)) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s7, c_write_h_resp_h_shared) | (~node3(s7)) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared)))),
% 51.00/33.65 inference(rewrite,[status(thm)],[])).
% 51.00/33.65 tff(25344,plain,
% 51.00/33.65 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s7, c_write_h_resp_h_shared) | (~node3(s7)) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared)))),
% 51.00/33.65 inference(quant_inst,[status(thm)],[])).
% 51.00/33.65 tff(25345,plain,
% 51.00/33.65 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s7, c_write_h_resp_h_shared) | (~node3(s7)) | (~m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared))),
% 51.00/33.65 inference(modus_ponens,[status(thm)],[25344, 25343])).
% 51.00/33.65 tff(25346,plain,
% 51.00/33.65 ($false),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25345, 1260, 13178, 25342, 25306])).
% 51.00/33.65 tff(25347,plain,((~node12(s7)) | node47(c_p1, s7) | m_processor_v_abort(c_p1, s7) | node48(c_p1, s7) | node52(c_p1, s7, s8) | node50(c_p1, s7) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | m_processor_v_cmd(c_p0, s7, c_response)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.65 tff(25348,plain,
% 51.00/33.65 (~node12(s7)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25347, 25293, 24006, 25304, 25294, 25303, 23924, 23923])).
% 51.00/33.65 tff(25349,plain,
% 51.00/33.65 (node8(s7)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[23904, 25348, 14636, 13267, 13266])).
% 51.00/33.65 tff(25350,plain,
% 51.00/33.65 ((~node8(s7)) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared))),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[23829, 2191, 23924])).
% 51.00/33.65 tff(25351,plain,
% 51.00/33.65 (~m_main_v_CMD(s7, c_write_h_resp_h_shared)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25350, 25349])).
% 51.00/33.65 tff(25352,plain,
% 51.00/33.65 ((~node8(s7)) | (~m_main_v_CMD(s7, c_response))),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[23818, 2191, 23923])).
% 51.00/33.65 tff(25353,plain,
% 51.00/33.65 (~m_main_v_CMD(s7, c_response)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25352, 25349])).
% 51.00/33.65 tff(25354,plain,
% 51.00/33.65 (~m_processor_v_CMD(c_p1, s7, c_response)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25315, 25353])).
% 51.00/33.65 tff(25355,plain,
% 51.00/33.65 (~node49(c_p1, s7)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25326, 25354])).
% 51.00/33.65 tff(25356,plain,
% 51.00/33.65 (node51(c_p1, s7)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25334, 25355, 25294, 24006, 25304, 25293, 25303])).
% 51.00/33.65 tff(25357,plain,
% 51.00/33.65 (m_processor_v_CMD(c_p1, s7, c_write_h_resp_h_shared)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25341, 25356])).
% 51.00/33.65 tff(25358,plain,
% 51.00/33.65 ($false),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25345, 1260, 13178, 25357, 25351])).
% 51.00/33.65 tff(25359,plain,(node52(c_p1, s7, s8) | node47(c_p1, s7) | m_processor_v_abort(c_p1, s7) | node48(c_p1, s7) | (~m_processor_v_cmd(c_p1, s7, c_idle)) | (~m_memory_v_cmd(c_m, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.00/33.65 tff(25360,plain,
% 51.00/33.65 (node48(c_p1, s7)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25359, 25295, 25293, 13267, 25294, 24006, 13266])).
% 51.00/33.65 tff(25361,plain,
% 51.00/33.65 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p1, s7) | (~node48(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p1, s7) | (~node48(c_p1, s7)))),
% 51.00/33.65 inference(rewrite,[status(thm)],[])).
% 51.00/33.65 tff(25362,plain,
% 51.00/33.65 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p1, s7) | (~node48(c_p1, s7)))),
% 51.00/33.65 inference(quant_inst,[status(thm)],[])).
% 51.00/33.65 tff(25363,plain,
% 51.00/33.65 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p1, s7) | (~node48(c_p1, s7))),
% 51.00/33.65 inference(modus_ponens,[status(thm)],[25362, 25361])).
% 51.00/33.65 tff(25364,plain,
% 51.00/33.65 ($false),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25363, 11562, 13051, 25360])).
% 51.00/33.65 tff(25365,plain,(m_processor_v_master(c_p1, s7) | node52(c_p1, s7, s8) | (~m_memory_v_cmd(c_m, s7, c_idle)) | node47(c_p1, s7) | m_processor_v_abort(c_p1, s7) | (~m_processor_v_cmd(c_p0, s7, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.00/33.65 tff(25366,plain,
% 51.00/33.65 (m_processor_v_master(c_p1, s7)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25365, 25294, 13267, 25293, 24006, 13266])).
% 51.00/33.65 tff(25367,plain,
% 51.00/33.65 (m_processor_v_CMD(c_p1, s7, c_read_h_owned)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[24156, 25366, 6397, 6360, 23941, 13266, 13435, 24006])).
% 51.00/33.65 tff(25368,plain,
% 51.00/33.65 ($false),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[13393, 25367, 25366, 24992, 25294, 24006])).
% 51.00/33.65 tff(25369,plain,(node47(c_p1, s7) | m_processor_v_waiting(c_p1, s8) | m_processor_v_abort(c_p1, s7) | m_processor_v_state(c_p1, s8, c_invalid) | m_processor_v_state(c_p1, s8, c_shared) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_memory_v_cmd(c_m, s7, c_idle)) | node52(c_p1, s7, s8)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.65 tff(25370,plain,
% 51.00/33.65 (node47(c_p1, s7)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25369, 24006, 24992, 6397, 6360, 13266, 13435, 13267, 25293])).
% 51.00/33.65 tff(25371,plain,
% 51.00/33.65 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p1, s7) | (~node47(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p1, s7) | (~node47(c_p1, s7)))),
% 51.00/33.65 inference(rewrite,[status(thm)],[])).
% 51.00/33.65 tff(25372,plain,
% 51.00/33.65 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | (m_processor_v_master(c_p1, s7) | (~node47(c_p1, s7)))),
% 51.00/33.65 inference(quant_inst,[status(thm)],[])).
% 51.00/33.65 tff(25373,plain,
% 51.00/33.65 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node47(I0, X)))) | m_processor_v_master(c_p1, s7) | (~node47(c_p1, s7))),
% 51.00/33.65 inference(modus_ponens,[status(thm)],[25372, 25371])).
% 51.00/33.65 tff(25374,plain,
% 51.00/33.65 (m_processor_v_master(c_p1, s7)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25373, 12108, 25370])).
% 51.00/33.65 tff(25375,plain,
% 51.00/33.65 (m_processor_v_CMD(c_p1, s7, c_read_h_shared)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[13397, 657, 25370])).
% 51.00/33.65 tff(25376,plain,
% 51.00/33.65 ($false),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[13171, 25375, 25374, 24006, 24992])).
% 51.00/33.65 tff(25377,plain,(m_processor_v_abort(c_p1, s7) | m_processor_v_waiting(c_p1, s8) | m_processor_v_state(c_p1, s8, c_invalid) | m_processor_v_state(c_p1, s8, c_shared) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_memory_v_cmd(c_m, s7, c_idle)) | node52(c_p1, s7, s8)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.65 tff(25378,plain,
% 51.00/33.65 (m_processor_v_abort(c_p1, s7)),
% 51.00/33.65 inference(unit_resolution,[status(thm)],[25377, 25292, 6397, 6360, 13266, 13435, 24992, 25211])).
% 51.00/33.65 tff(25379,plain,
% 51.00/33.65 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s7)) | (~node53(c_p1, s7, s8)) | node46(c_p1, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p1, s7)) | (~node53(c_p1, s7, s8)) | node46(c_p1, s7, s8))),
% 51.00/33.65 inference(rewrite,[status(thm)],[])).
% 51.00/33.65 tff(25380,plain,
% 51.00/33.65 (((~m_processor_v_abort(c_p1, s7)) | node46(c_p1, s7, s8) | (~node53(c_p1, s7, s8))) <=> ((~m_processor_v_abort(c_p1, s7)) | (~node53(c_p1, s7, s8)) | node46(c_p1, s7, s8))),
% 51.00/33.65 inference(rewrite,[status(thm)],[])).
% 51.00/33.65 tff(25381,plain,
% 51.00/33.65 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s7)) | node46(c_p1, s7, s8) | (~node53(c_p1, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s7)) | (~node53(c_p1, s7, s8)) | node46(c_p1, s7, s8)))),
% 51.00/33.65 inference(monotonicity,[status(thm)],[25380])).
% 51.00/33.66 tff(25382,plain,
% 51.00/33.66 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s7)) | node46(c_p1, s7, s8) | (~node53(c_p1, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p1, s7)) | (~node53(c_p1, s7, s8)) | node46(c_p1, s7, s8))),
% 51.00/33.66 inference(transitivity,[status(thm)],[25381, 25379])).
% 51.00/33.66 tff(25383,plain,
% 51.00/33.66 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s7)) | node46(c_p1, s7, s8) | (~node53(c_p1, s7, s8)))),
% 51.00/33.66 inference(quant_inst,[status(thm)],[])).
% 51.00/33.66 tff(25384,plain,
% 51.00/33.66 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p1, s7)) | (~node53(c_p1, s7, s8)) | node46(c_p1, s7, s8)),
% 51.00/33.66 inference(modus_ponens,[status(thm)],[25383, 25382])).
% 51.00/33.66 tff(25385,plain,
% 51.00/33.66 ((~m_processor_v_abort(c_p1, s7)) | node46(c_p1, s7, s8)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25384, 11690, 13164])).
% 51.00/33.66 tff(25386,plain,
% 51.00/33.66 (node46(c_p1, s7, s8)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25385, 25378])).
% 51.00/33.66 tff(25387,plain,
% 51.00/33.66 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p1, s7)) | m_processor_v_waiting(c_p1, s8) | (~node46(c_p1, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s7)) | m_processor_v_waiting(c_p1, s8) | (~node46(c_p1, s7, s8)))),
% 51.00/33.66 inference(rewrite,[status(thm)],[])).
% 51.00/33.66 tff(25388,plain,
% 51.00/33.66 ((m_processor_v_waiting(c_p1, s8) | (~m_processor_v_waiting(c_p1, s7)) | (~node46(c_p1, s7, s8))) <=> ((~m_processor_v_waiting(c_p1, s7)) | m_processor_v_waiting(c_p1, s8) | (~node46(c_p1, s7, s8)))),
% 51.00/33.66 inference(rewrite,[status(thm)],[])).
% 51.00/33.66 tff(25389,plain,
% 51.00/33.66 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s8) | (~m_processor_v_waiting(c_p1, s7)) | (~node46(c_p1, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p1, s7)) | m_processor_v_waiting(c_p1, s8) | (~node46(c_p1, s7, s8))))),
% 51.00/33.66 inference(monotonicity,[status(thm)],[25388])).
% 51.00/33.66 tff(25390,plain,
% 51.00/33.66 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s8) | (~m_processor_v_waiting(c_p1, s7)) | (~node46(c_p1, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s7)) | m_processor_v_waiting(c_p1, s8) | (~node46(c_p1, s7, s8)))),
% 51.00/33.66 inference(transitivity,[status(thm)],[25389, 25387])).
% 51.00/33.66 tff(25391,plain,
% 51.00/33.66 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s8) | (~m_processor_v_waiting(c_p1, s7)) | (~node46(c_p1, s7, s8)))),
% 51.00/33.66 inference(quant_inst,[status(thm)],[])).
% 51.00/33.66 tff(25392,plain,
% 51.00/33.66 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s7)) | m_processor_v_waiting(c_p1, s8) | (~node46(c_p1, s7, s8))),
% 51.00/33.66 inference(modus_ponens,[status(thm)],[25391, 25390])).
% 51.00/33.66 tff(25393,plain,
% 51.00/33.66 ($false),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25392, 11708, 25200, 24992, 25386])).
% 51.00/33.66 tff(25394,plain,((~node60(c_p1, s6)) | m_processor_v_waiting(c_p1, s8) | m_processor_v_state(c_p1, s8, c_invalid) | m_processor_v_state(c_p1, s8, c_shared) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_state(c_p0, s7, c_invalid) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.66 tff(25395,plain,
% 51.00/33.66 (~node60(c_p1, s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25394, 13405, 6397, 6360, 13266, 13435, 785, 2326, 2358, 24992, 53])).
% 51.00/33.66 tff(25396,plain,
% 51.00/33.66 (m_processor_v_abort(c_p1, s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[18324, 25395])).
% 51.00/33.66 tff(25397,plain,
% 51.00/33.66 (node46(c_p1, s6, s7)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[18740, 25396])).
% 51.00/33.66 tff(25398,plain,
% 51.00/33.66 (m_processor_v_waiting(c_p1, s7)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[18747, 11708, 25085, 25397])).
% 51.00/33.66 tff(25399,plain,
% 51.00/33.66 (~node52(c_p1, s7, s8)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25210, 25398, 24992])).
% 51.00/33.66 tff(25400,plain,
% 51.00/33.66 (m_processor_v_state(c_p1, s6, c_owned)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[13463, 13405, 13435, 24993])).
% 51.00/33.66 tff(25401,plain,
% 51.00/33.66 (m_processor_v_reply_h_owned(c_p1, s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[24236, 25400, 13405])).
% 51.00/33.66 tff(25402,plain,
% 51.00/33.66 (~node5(s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[24244, 25401])).
% 51.00/33.66 tff(25403,plain,
% 51.00/33.66 (m_main_v_REPLY_h_OWNED(s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[24252, 25402])).
% 51.00/33.66 tff(25404,plain,
% 51.00/33.66 (m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[24260, 25403])).
% 51.00/33.66 tff(25405,assumption,(node18(c_m, s6, s7)), introduced(assumption)).
% 51.00/33.66 tff(25406,plain,
% 51.00/33.66 ($false),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[24399, 10278, 15465, 18288, 25405])).
% 51.00/33.66 tff(25407,plain,((~node18(c_m, s6, s7)) | (~m_memory_v_busy(c_m, s7)) | m_memory_v_busy(c_m, s6)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.66 tff(25408,plain,
% 51.00/33.66 (~node18(c_m, s6, s7)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25407, 15465, 18288])).
% 51.00/33.66 tff(25409,plain,
% 51.00/33.66 (~m_memory_v_abort(c_m, s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[24309, 25408])).
% 51.00/33.66 tff(25410,plain,
% 51.00/33.66 (~node22(c_m, s6, s7)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25289, 15465, 18288])).
% 51.00/33.66 tff(25411,plain,
% 51.00/33.66 (node26(c_m, s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[24297, 25409])).
% 51.00/33.66 tff(25412,plain,
% 51.00/33.66 (node25(c_m, s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[24289, 25411, 24283])).
% 51.00/33.66 tff(25413,plain,
% 51.00/33.66 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))) | ((~m_memory_v_CMD(c_m, s6, c_read_h_shared)) | (~node25(c_m, s6)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))) | (~m_memory_v_CMD(c_m, s6, c_read_h_shared)) | (~node25(c_m, s6)))),
% 51.00/33.66 inference(rewrite,[status(thm)],[])).
% 51.00/33.66 tff(25414,plain,
% 51.00/33.66 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))) | ((~m_memory_v_CMD(c_m, s6, c_read_h_shared)) | (~node25(c_m, s6)))),
% 51.00/33.66 inference(quant_inst,[status(thm)],[])).
% 51.00/33.66 tff(25415,plain,
% 51.00/33.66 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))) | (~m_memory_v_CMD(c_m, s6, c_read_h_shared)) | (~node25(c_m, s6))),
% 51.00/33.66 inference(modus_ponens,[status(thm)],[25414, 25413])).
% 51.00/33.66 tff(25416,plain,
% 51.00/33.66 ($false),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25415, 10407, 25230, 24274])).
% 51.00/33.66 tff(25417,plain,((~node25(c_m, s6)) | (~m_memory_v_CMD(c_m, s6, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 51.00/33.66 tff(25418,plain,
% 51.00/33.66 (~m_memory_v_CMD(c_m, s6, c_read_h_shared)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25417, 25412])).
% 51.00/33.66 tff(25419,plain,
% 51.00/33.66 (~m_memory_v_CMD(c_m, s6, c_read_h_owned)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[24280, 25412])).
% 51.00/33.66 tff(25420,plain,
% 51.00/33.66 (~node21(c_m, s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25274, 25419, 25418])).
% 51.00/33.66 tff(25421,plain,
% 51.00/33.66 (node19(c_m, s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25282, 25420, 25410, 25409])).
% 51.00/33.66 tff(25422,assumption,(node19(c_m, s6)), introduced(assumption)).
% 51.00/33.66 tff(25423,plain,
% 51.00/33.66 (((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | (m_memory_v_master(c_m, s6) | (~node19(c_m, s6)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | m_memory_v_master(c_m, s6) | (~node19(c_m, s6)))),
% 51.00/33.66 inference(rewrite,[status(thm)],[])).
% 51.00/33.66 tff(25424,plain,
% 51.00/33.66 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | (m_memory_v_master(c_m, s6) | (~node19(c_m, s6)))),
% 51.00/33.66 inference(quant_inst,[status(thm)],[])).
% 51.00/33.66 tff(25425,plain,
% 51.00/33.66 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | m_memory_v_master(c_m, s6) | (~node19(c_m, s6))),
% 51.00/33.66 inference(modus_ponens,[status(thm)],[25424, 25423])).
% 51.00/33.66 tff(25426,plain,
% 51.00/33.66 ($false),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25425, 4477, 14288, 25422])).
% 51.00/33.66 tff(25427,plain,((~node19(c_m, s6)) | m_memory_v_master(c_m, s6)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.66 tff(25428,plain,
% 51.00/33.66 (m_memory_v_master(c_m, s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25427, 25421])).
% 51.00/33.66 tff(25429,plain,
% 51.00/33.66 (((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~m_memory_v_master(c_m, s6)) | (~m_memory_v_CMD(c_m, s6, c_response)) | (~node23(c_m, s6, s7)) | (~m_memory_v_busy(c_m, s7)) | m_memory_v_abort(c_m, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | (~m_memory_v_master(c_m, s6)) | (~m_memory_v_CMD(c_m, s6, c_response)) | (~node23(c_m, s6, s7)) | (~m_memory_v_busy(c_m, s7)) | m_memory_v_abort(c_m, s6))),
% 51.00/33.66 inference(rewrite,[status(thm)],[])).
% 51.00/33.66 tff(25430,plain,
% 51.00/33.66 (((~m_memory_v_busy(c_m, s7)) | (~m_memory_v_master(c_m, s6)) | (~node23(c_m, s6, s7)) | m_memory_v_abort(c_m, s6) | (~m_memory_v_CMD(c_m, s6, c_response))) <=> ((~m_memory_v_master(c_m, s6)) | (~m_memory_v_CMD(c_m, s6, c_response)) | (~node23(c_m, s6, s7)) | (~m_memory_v_busy(c_m, s7)) | m_memory_v_abort(c_m, s6))),
% 51.00/33.66 inference(rewrite,[status(thm)],[])).
% 51.00/33.66 tff(25431,plain,
% 51.00/33.66 (((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~m_memory_v_busy(c_m, s7)) | (~m_memory_v_master(c_m, s6)) | (~node23(c_m, s6, s7)) | m_memory_v_abort(c_m, s6) | (~m_memory_v_CMD(c_m, s6, c_response)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~m_memory_v_master(c_m, s6)) | (~m_memory_v_CMD(c_m, s6, c_response)) | (~node23(c_m, s6, s7)) | (~m_memory_v_busy(c_m, s7)) | m_memory_v_abort(c_m, s6)))),
% 51.00/33.66 inference(monotonicity,[status(thm)],[25430])).
% 51.00/33.66 tff(25432,plain,
% 51.00/33.66 (((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~m_memory_v_busy(c_m, s7)) | (~m_memory_v_master(c_m, s6)) | (~node23(c_m, s6, s7)) | m_memory_v_abort(c_m, s6) | (~m_memory_v_CMD(c_m, s6, c_response)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | (~m_memory_v_master(c_m, s6)) | (~m_memory_v_CMD(c_m, s6, c_response)) | (~node23(c_m, s6, s7)) | (~m_memory_v_busy(c_m, s7)) | m_memory_v_abort(c_m, s6))),
% 51.00/33.66 inference(transitivity,[status(thm)],[25431, 25429])).
% 51.00/33.66 tff(25433,plain,
% 51.00/33.66 ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~m_memory_v_busy(c_m, s7)) | (~m_memory_v_master(c_m, s6)) | (~node23(c_m, s6, s7)) | m_memory_v_abort(c_m, s6) | (~m_memory_v_CMD(c_m, s6, c_response)))),
% 51.00/33.66 inference(quant_inst,[status(thm)],[])).
% 51.00/33.66 tff(25434,plain,
% 51.00/33.66 ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | (~m_memory_v_master(c_m, s6)) | (~m_memory_v_CMD(c_m, s6, c_response)) | (~node23(c_m, s6, s7)) | (~m_memory_v_busy(c_m, s7)) | m_memory_v_abort(c_m, s6)),
% 51.00/33.66 inference(modus_ponens,[status(thm)],[25433, 25432])).
% 51.00/33.66 tff(25435,plain,
% 51.00/33.66 ((~m_memory_v_master(c_m, s6)) | (~m_memory_v_CMD(c_m, s6, c_response)) | (~m_memory_v_busy(c_m, s7)) | m_memory_v_abort(c_m, s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25434, 10436, 24302])).
% 51.00/33.66 tff(25436,plain,
% 51.00/33.66 (~m_memory_v_CMD(c_m, s6, c_response)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25435, 25428, 15465, 25409])).
% 51.00/33.66 tff(25437,plain,
% 51.00/33.66 ($false),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25221, 10075, 25421, 25436])).
% 51.00/33.66 tff(25438,plain,((~m_memory_v_busy(c_m, s7)) | (~m_memory_v_REPLY_h_OWNED(c_m, s6)) | m_memory_v_busy(c_m, s6)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.66 tff(25439,plain,
% 51.00/33.66 (~m_memory_v_busy(c_m, s7)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25438, 25404, 25116])).
% 51.00/33.66 tff(25440,plain,
% 51.00/33.66 (~node29(c_m, s7)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[24392, 25439])).
% 51.00/33.66 tff(25441,plain,
% 51.00/33.66 (m_memory_v_cmd(c_m, s7, c_idle)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[13225, 25440])).
% 51.00/33.66 tff(25442,plain,
% 51.00/33.66 (m_processor_v_abort(c_p1, s7)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25377, 25441, 6397, 6360, 13266, 13435, 24992, 25399])).
% 51.00/33.66 tff(25443,plain,
% 51.00/33.66 (node46(c_p1, s7, s8)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25385, 25442])).
% 51.00/33.66 tff(25444,plain,
% 51.00/33.66 ($false),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25392, 11708, 25398, 24992, 25443])).
% 51.00/33.66 tff(25445,plain,(m_processor_v_master(c_p1, s6) | m_processor_v_waiting(c_p1, s8) | m_processor_v_state(c_p1, s8, c_invalid) | m_processor_v_state(c_p1, s8, c_shared) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_state(c_p0, s7, c_invalid) | m_processor_v_state(c_p1, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.66 tff(25446,plain,
% 51.00/33.66 (m_processor_v_master(c_p1, s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25445, 24981, 24991, 24990, 23598, 13400, 24976, 24988, 24987, 53])).
% 51.00/33.66 tff(25447,plain,
% 51.00/33.66 (~m_processor_v_state(c_p1, s6, c_invalid)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[18851, 18174, 13102, 16313])).
% 51.00/33.66 tff(25448,plain,
% 51.00/33.66 (~m_main_v_CMD(s6, c_read_h_shared)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[19010, 113, 16313])).
% 51.00/33.66 tff(25449,plain,
% 51.00/33.66 (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[19016, 25448])).
% 51.00/33.66 tff(25450,plain,
% 51.00/33.66 (~node47(c_p1, s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[19020, 25449])).
% 51.00/33.66 tff(25451,plain,
% 51.00/33.66 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_waiting(I0, X) | m_processor_v_writable(I0, X))) | ((~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_waiting(c_p1, s6) | m_processor_v_writable(c_p1, s6))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_waiting(I0, X) | m_processor_v_writable(I0, X))) | (~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_waiting(c_p1, s6) | m_processor_v_writable(c_p1, s6))),
% 51.00/33.66 inference(rewrite,[status(thm)],[])).
% 51.00/33.66 tff(25452,plain,
% 51.00/33.66 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_waiting(I0, X) | m_processor_v_writable(I0, X))) | ((~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_waiting(c_p1, s6) | m_processor_v_writable(c_p1, s6))),
% 51.00/33.66 inference(quant_inst,[status(thm)],[])).
% 51.00/33.66 tff(25453,plain,
% 51.00/33.66 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_waiting(I0, X) | m_processor_v_writable(I0, X))) | (~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_waiting(c_p1, s6) | m_processor_v_writable(c_p1, s6)),
% 51.00/33.66 inference(modus_ponens,[status(thm)],[25452, 25451])).
% 51.00/33.66 tff(25454,plain,
% 51.00/33.66 (m_processor_v_waiting(c_p1, s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25453, 10614, 113, 674])).
% 51.00/33.66 tff(25455,plain,
% 51.00/33.66 (~node52(c_p1, s6, s7)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[18307, 25454, 18174])).
% 51.00/33.66 tff(25456,plain,
% 51.00/33.66 (m_processor_v_abort(c_p1, s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[19052, 25455, 16313, 25450, 18174])).
% 51.00/33.66 tff(25457,plain,
% 51.00/33.66 (node46(c_p1, s6, s7)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[18740, 25456])).
% 51.00/33.66 tff(25458,plain,
% 51.00/33.66 ($false),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[18747, 11708, 18174, 25454, 25457])).
% 51.00/33.66 tff(25459,plain,((~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_waiting(c_p1, s7) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_writable(c_p1, s6)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.66 tff(25460,plain,
% 51.00/33.66 (~m_processor_v_state(c_p1, s6, c_owned)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25459, 18174, 16313, 674])).
% 51.00/33.66 tff(25461,plain,
% 51.00/33.66 (m_processor_v_state(c_p1, s6, c_shared)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[158, 25460, 25447])).
% 51.00/33.66 tff(25462,plain,
% 51.00/33.66 (~node32(c_p1, s6, s7)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[13531, 25461, 13063])).
% 51.00/33.66 tff(25463,plain,
% 51.00/33.66 (~m_processor_v_abort(c_p1, s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[13472, 25462])).
% 51.00/33.66 tff(25464,plain,
% 51.00/33.66 (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[18813, 25463, 16313, 18174])).
% 51.00/33.66 tff(25465,plain,
% 51.00/33.66 (~node47(c_p1, s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[19020, 25464])).
% 51.00/33.66 tff(25466,plain,
% 51.00/33.66 (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[18842, 25465, 16313, 25463, 18174])).
% 51.00/33.66 tff(25467,plain,
% 51.00/33.66 (~node62(c_p1, s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[18858, 25447])).
% 51.00/33.66 tff(25468,plain,
% 51.00/33.66 (node62(c_p1, s6) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_cmd(c_p1, s6, c_read_h_owned)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[19070, 1650, 16313])).
% 51.00/33.66 tff(25469,plain,
% 51.00/33.66 (m_processor_v_cmd(c_p1, s6, c_read_h_owned)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25468, 25461, 25467])).
% 51.00/33.66 tff(25470,plain,
% 51.00/33.66 (~m_processor_v_cmd(c_p1, s6, c_idle)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[19092, 25469])).
% 51.00/33.66 tff(25471,plain,
% 51.00/33.66 (~node9(s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[18794, 25470])).
% 51.00/33.66 tff(25472,plain,
% 51.00/33.66 (node10(s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[18805, 25471, 18761, 18759, 18770])).
% 51.00/33.66 tff(25473,plain,
% 51.00/33.66 (m_main_v_CMD(s6, c_read_h_owned)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[19097, 25472, 25469])).
% 51.00/33.66 tff(25474,plain,
% 51.00/33.66 ($false),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[16254, 25473, 25466])).
% 51.00/33.66 tff(25475,plain,(m_processor_v_waiting(c_p1, s7) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_writable(c_p1, s6) | m_processor_v_state(c_p1, s7, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.66 tff(25476,plain,
% 51.00/33.66 (m_processor_v_waiting(c_p1, s7)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25475, 25446, 24982, 673, 13404])).
% 51.00/33.66 tff(25477,plain,
% 51.00/33.66 (~node52(c_p1, s7, s8)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25210, 25476, 24981])).
% 51.00/33.66 tff(25478,plain,
% 51.00/33.66 (~m_processor_v_master(c_p0, s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[16318, 25446])).
% 51.00/33.66 tff(25479,plain,
% 51.00/33.66 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_master(c_p0, s6) | m_processor_v_reply_h_owned(c_p0, s6))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_master(c_p0, s6) | m_processor_v_reply_h_owned(c_p0, s6))),
% 51.00/33.66 inference(rewrite,[status(thm)],[])).
% 51.00/33.66 tff(25480,plain,
% 51.00/33.66 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_master(c_p0, s6) | m_processor_v_reply_h_owned(c_p0, s6))),
% 51.00/33.66 inference(quant_inst,[status(thm)],[])).
% 51.00/33.66 tff(25481,plain,
% 51.00/33.66 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_master(c_p0, s6) | m_processor_v_reply_h_owned(c_p0, s6)),
% 51.00/33.66 inference(modus_ponens,[status(thm)],[25480, 25479])).
% 51.00/33.66 tff(25482,plain,
% 51.00/33.66 (m_processor_v_master(c_p0, s6) | m_processor_v_reply_h_owned(c_p0, s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25481, 10170, 24976])).
% 51.00/33.66 tff(25483,plain,
% 51.00/33.66 (m_processor_v_reply_h_owned(c_p0, s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25482, 25478])).
% 51.00/33.66 tff(25484,assumption,(m_processor_v_reply_h_owned(c_p0, s6)), introduced(assumption)).
% 51.00/33.66 tff(25485,plain,
% 51.00/33.66 (((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | ((~node5(s6)) | (~m_processor_v_reply_h_owned(c_p0, s6)))) <=> ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | (~node5(s6)) | (~m_processor_v_reply_h_owned(c_p0, s6)))),
% 51.00/33.66 inference(rewrite,[status(thm)],[])).
% 51.00/33.66 tff(25486,plain,
% 51.00/33.66 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | ((~node5(s6)) | (~m_processor_v_reply_h_owned(c_p0, s6)))),
% 51.00/33.66 inference(quant_inst,[status(thm)],[])).
% 51.00/33.66 tff(25487,plain,
% 51.00/33.66 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | (~node5(s6)) | (~m_processor_v_reply_h_owned(c_p0, s6))),
% 51.00/33.66 inference(modus_ponens,[status(thm)],[25486, 25485])).
% 51.00/33.66 tff(25488,plain,
% 51.00/33.66 ($false),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25487, 10185, 25484, 24238])).
% 51.00/33.66 tff(25489,plain,((~m_processor_v_reply_h_owned(c_p0, s6)) | (~node5(s6))), inference(lemma,lemma(discharge,[]))).
% 51.00/33.66 tff(25490,plain,
% 51.00/33.66 (~node5(s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25489, 25483])).
% 51.00/33.66 tff(25491,plain,
% 51.00/33.66 (m_main_v_REPLY_h_OWNED(s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[24252, 25490])).
% 51.00/33.66 tff(25492,plain,
% 51.00/33.66 (m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[24260, 25491])).
% 51.00/33.66 tff(25493,plain,
% 51.00/33.66 (~m_processor_v_state(c_p0, s6, c_shared)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[809, 24976])).
% 51.00/33.66 tff(25494,plain,
% 51.00/33.66 (~m_processor_v_state(c_p0, s6, c_invalid)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[1035, 137, 24976])).
% 51.00/33.66 tff(25495,plain,
% 51.00/33.66 (node7(s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[24220, 18357])).
% 51.00/33.66 tff(25496,plain,
% 51.00/33.66 (~m_memory_v_reply_h_stall(c_m, s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[24228, 25495])).
% 51.00/33.66 tff(25497,plain,
% 51.00/33.66 (node30(c_m, s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[24569, 25496, 24567])).
% 51.00/33.66 tff(25498,plain,
% 51.00/33.66 (~m_memory_v_CMD(c_m, s6, c_read_h_owned)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[24554, 25497])).
% 51.00/33.66 tff(25499,plain,
% 51.00/33.66 (~m_main_v_CMD(s6, c_read_h_owned)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[24272, 25498])).
% 51.00/33.66 tff(25500,plain,
% 51.00/33.66 (~node10(s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[18833, 13439, 14317, 16313, 14208])).
% 51.00/33.66 tff(25501,plain,
% 51.00/33.66 (node9(s6)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[18805, 25500, 18759, 18317, 18659])).
% 51.00/33.66 tff(25502,plain,
% 51.00/33.66 ($false),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[18792, 3443, 18788, 25501])).
% 51.00/33.66 tff(25503,plain,((~m_processor_v_state(c_p1, s6, c_invalid)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | (~m_processor_v_cmd(c_p0, s6, c_idle)) | m_main_v_CMD(s6, c_read_h_shared) | (~m_processor_v_master(c_p1, s6)) | m_main_v_CMD(s6, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.66 tff(25504,plain,
% 51.00/33.66 (m_main_v_CMD(s6, c_read_h_shared)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25503, 13439, 14208, 16313, 18770, 18761])).
% 51.00/33.66 tff(25505,plain,
% 51.00/33.66 (m_processor_v_CMD(c_p1, s6, c_read_h_shared)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[18379, 25504])).
% 51.00/33.66 tff(25506,assumption,(node34(c_p1, s6, s7)), introduced(assumption)).
% 51.00/33.66 tff(25507,plain,
% 51.00/33.66 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~m_processor_v_CMD(c_p1, s6, c_read_h_shared)) | m_processor_v_state(c_p1, s7, c_shared) | (~node34(c_p1, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)) | m_processor_v_state(c_p1, s7, c_shared) | (~node34(c_p1, s6, s7)))),
% 51.00/33.66 inference(rewrite,[status(thm)],[])).
% 51.00/33.66 tff(25508,plain,
% 51.00/33.66 (((~node34(c_p1, s6, s7)) | m_processor_v_state(c_p1, s7, c_shared) | (~m_processor_v_CMD(c_p1, s6, c_read_h_shared))) <=> ((~m_processor_v_CMD(c_p1, s6, c_read_h_shared)) | m_processor_v_state(c_p1, s7, c_shared) | (~node34(c_p1, s6, s7)))),
% 51.00/33.66 inference(rewrite,[status(thm)],[])).
% 51.00/33.66 tff(25509,plain,
% 51.00/33.66 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s6, s7)) | m_processor_v_state(c_p1, s7, c_shared) | (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~m_processor_v_CMD(c_p1, s6, c_read_h_shared)) | m_processor_v_state(c_p1, s7, c_shared) | (~node34(c_p1, s6, s7))))),
% 51.00/33.66 inference(monotonicity,[status(thm)],[25508])).
% 51.00/33.66 tff(25510,plain,
% 51.00/33.66 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s6, s7)) | m_processor_v_state(c_p1, s7, c_shared) | (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)) | m_processor_v_state(c_p1, s7, c_shared) | (~node34(c_p1, s6, s7)))),
% 51.00/33.66 inference(transitivity,[status(thm)],[25509, 25507])).
% 51.00/33.66 tff(25511,plain,
% 51.00/33.66 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p1, s6, s7)) | m_processor_v_state(c_p1, s7, c_shared) | (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)))),
% 51.00/33.66 inference(quant_inst,[status(thm)],[])).
% 51.00/33.66 tff(25512,plain,
% 51.00/33.66 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)) | m_processor_v_state(c_p1, s7, c_shared) | (~node34(c_p1, s6, s7))),
% 51.00/33.66 inference(modus_ponens,[status(thm)],[25511, 25510])).
% 51.00/33.66 tff(25513,plain,
% 51.00/33.66 ($false),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25512, 416, 13063, 18364, 25506])).
% 51.00/33.66 tff(25514,plain,((~m_processor_v_CMD(c_p1, s6, c_read_h_shared)) | m_processor_v_state(c_p1, s7, c_shared) | (~node34(c_p1, s6, s7))), inference(lemma,lemma(discharge,[]))).
% 51.00/33.66 tff(25515,plain,
% 51.00/33.66 (~node34(c_p1, s6, s7)),
% 51.00/33.66 inference(unit_resolution,[status(thm)],[25514, 25505, 13063])).
% 51.00/33.66 tff(25516,assumption,(~node34(c_p1, s6, s7)), introduced(assumption)).
% 51.00/33.66 tff(25517,plain,
% 51.00/33.66 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6) | node34(c_p1, s6, s7) | (~node38(c_p1, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6) | node34(c_p1, s6, s7) | (~node38(c_p1, s6, s7)))),
% 51.00/33.66 inference(rewrite,[status(thm)],[])).
% 51.00/33.66 tff(25518,plain,
% 51.00/33.66 ((node34(c_p1, s6, s7) | (~m_processor_v_master(c_p1, s6)) | (~node38(c_p1, s6, s7)) | m_processor_v_abort(c_p1, s6)) <=> ((~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6) | node34(c_p1, s6, s7) | (~node38(c_p1, s6, s7)))),
% 51.00/33.66 inference(rewrite,[status(thm)],[])).
% 51.00/33.66 tff(25519,plain,
% 51.00/33.66 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s6, s7) | (~m_processor_v_master(c_p1, s6)) | (~node38(c_p1, s6, s7)) | m_processor_v_abort(c_p1, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6) | node34(c_p1, s6, s7) | (~node38(c_p1, s6, s7))))),
% 51.00/33.66 inference(monotonicity,[status(thm)],[25518])).
% 51.00/33.66 tff(25520,plain,
% 51.00/33.66 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s6, s7) | (~m_processor_v_master(c_p1, s6)) | (~node38(c_p1, s6, s7)) | m_processor_v_abort(c_p1, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6) | node34(c_p1, s6, s7) | (~node38(c_p1, s6, s7)))),
% 51.00/33.66 inference(transitivity,[status(thm)],[25519, 25517])).
% 51.00/33.66 tff(25521,plain,
% 51.00/33.66 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p1, s6, s7) | (~m_processor_v_master(c_p1, s6)) | (~node38(c_p1, s6, s7)) | m_processor_v_abort(c_p1, s6))),
% 51.00/33.66 inference(quant_inst,[status(thm)],[])).
% 51.00/33.67 tff(25522,plain,
% 51.00/33.67 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6) | node34(c_p1, s6, s7) | (~node38(c_p1, s6, s7))),
% 51.00/33.67 inference(modus_ponens,[status(thm)],[25521, 25520])).
% 51.00/33.67 tff(25523,plain,
% 51.00/33.67 ($false),
% 51.00/33.67 inference(unit_resolution,[status(thm)],[25522, 283, 16313, 13417, 13406, 25516])).
% 51.00/33.67 tff(25524,plain,(node34(c_p1, s6, s7) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_abort(c_p1, s6)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.67 tff(25525,plain,
% 51.00/33.67 ($false),
% 51.00/33.67 inference(unit_resolution,[status(thm)],[25524, 25515, 13609, 16313])).
% 51.00/33.67 tff(25526,plain,((~m_processor_v_state(c_p1, s6, c_invalid)) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_state(c_p1, s7, c_invalid) | m_main_v_CMD(s6, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.67 tff(25527,plain,
% 51.00/33.67 (~m_processor_v_state(c_p1, s6, c_invalid)),
% 51.00/33.67 inference(unit_resolution,[status(thm)],[25526, 25499, 13102, 13063, 16313])).
% 51.00/33.67 tff(25528,plain,
% 51.00/33.67 (~node62(c_p1, s6)),
% 51.00/33.67 inference(unit_resolution,[status(thm)],[18858, 25527])).
% 51.00/33.67 tff(25529,plain,
% 51.00/33.67 (node34(c_p1, s6, s7)),
% 51.00/33.67 inference(unit_resolution,[status(thm)],[25524, 13406, 16313])).
% 51.00/33.67 tff(25530,plain,
% 51.00/33.67 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s6, c_read_h_owned) | (~node3(s6)) | (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s6, c_read_h_owned) | (~node3(s6)) | (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)))),
% 51.00/33.67 inference(rewrite,[status(thm)],[])).
% 51.00/33.67 tff(25531,plain,
% 51.00/33.67 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s6, c_read_h_owned) | (~node3(s6)) | (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)))),
% 51.00/33.67 inference(quant_inst,[status(thm)],[])).
% 51.00/33.67 tff(25532,plain,
% 51.00/33.67 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s6, c_read_h_owned) | (~node3(s6)) | (~m_processor_v_CMD(c_p1, s6, c_read_h_owned))),
% 51.00/33.67 inference(modus_ponens,[status(thm)],[25531, 25530])).
% 51.00/33.67 tff(25533,plain,
% 51.00/33.67 ($false),
% 51.00/33.67 inference(unit_resolution,[status(thm)],[25532, 1260, 16246, 14208, 13570])).
% 51.00/33.67 tff(25534,plain,((~m_processor_v_CMD(c_p1, s6, c_read_h_owned)) | m_main_v_CMD(s6, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 51.00/33.67 tff(25535,plain,
% 51.00/33.67 (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 51.00/33.67 inference(unit_resolution,[status(thm)],[25534, 25499])).
% 51.00/33.67 tff(25536,plain,
% 51.00/33.67 (~node63(c_p1, s6)),
% 51.00/33.67 inference(unit_resolution,[status(thm)],[18865, 1])).
% 51.00/33.67 tff(25537,plain,
% 51.00/33.67 (~node62(c_p1, s6)),
% 51.00/33.67 inference(unit_resolution,[status(thm)],[18858, 143])).
% 51.00/33.67 tff(25538,assumption,(m_processor_v_CMD(c_p1, s6, c_write_h_invalid)), introduced(assumption)).
% 51.00/33.67 tff(25539,plain,
% 51.00/33.67 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s6, c_write_h_invalid)) | m_processor_v_state(c_p1, s7, c_invalid) | (~node34(c_p1, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s6, c_write_h_invalid)) | m_processor_v_state(c_p1, s7, c_invalid) | (~node34(c_p1, s6, s7)))),
% 51.00/33.67 inference(rewrite,[status(thm)],[])).
% 51.00/33.67 tff(25540,plain,
% 51.00/33.67 (((~node34(c_p1, s6, s7)) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_state(c_p1, s7, c_invalid) | (~m_processor_v_CMD(c_p1, s6, c_write_h_invalid))) <=> (m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s6, c_write_h_invalid)) | m_processor_v_state(c_p1, s7, c_invalid) | (~node34(c_p1, s6, s7)))),
% 51.00/33.67 inference(rewrite,[status(thm)],[])).
% 51.00/33.67 tff(25541,plain,
% 51.00/33.67 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s6, s7)) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_state(c_p1, s7, c_invalid) | (~m_processor_v_CMD(c_p1, s6, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | (m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s6, c_write_h_invalid)) | m_processor_v_state(c_p1, s7, c_invalid) | (~node34(c_p1, s6, s7))))),
% 51.00/33.67 inference(monotonicity,[status(thm)],[25540])).
% 51.00/33.67 tff(25542,plain,
% 51.00/33.67 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s6, s7)) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_state(c_p1, s7, c_invalid) | (~m_processor_v_CMD(c_p1, s6, c_write_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s6, c_write_h_invalid)) | m_processor_v_state(c_p1, s7, c_invalid) | (~node34(c_p1, s6, s7)))),
% 51.00/33.67 inference(transitivity,[status(thm)],[25541, 25539])).
% 51.00/33.67 tff(25543,plain,
% 51.00/33.67 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | ((~node34(c_p1, s6, s7)) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_state(c_p1, s7, c_invalid) | (~m_processor_v_CMD(c_p1, s6, c_write_h_invalid)))),
% 51.00/33.67 inference(quant_inst,[status(thm)],[])).
% 51.00/33.67 tff(25544,plain,
% 51.00/33.67 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_invalid)))) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s6, c_write_h_invalid)) | m_processor_v_state(c_p1, s7, c_invalid) | (~node34(c_p1, s6, s7))),
% 51.00/33.67 inference(modus_ponens,[status(thm)],[25543, 25542])).
% 51.00/33.67 tff(25545,plain,
% 51.00/33.67 ($false),
% 51.00/33.67 inference(unit_resolution,[status(thm)],[25544, 512, 25538, 13102, 18371, 13522, 25506])).
% 51.00/33.67 tff(25546,plain,((~m_processor_v_CMD(c_p1, s6, c_write_h_invalid)) | m_processor_v_state(c_p1, s7, c_invalid) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | (~node34(c_p1, s6, s7))), inference(lemma,lemma(discharge,[]))).
% 51.00/33.67 tff(25547,plain,
% 51.00/33.67 (~m_processor_v_CMD(c_p1, s6, c_write_h_invalid)),
% 51.00/33.67 inference(unit_resolution,[status(thm)],[25546, 18371, 13102, 13522, 25506])).
% 51.00/33.67 tff(25548,assumption,(m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid)), introduced(assumption)).
% 51.00/33.67 tff(25549,plain,
% 51.00/33.67 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p1, s6, c_write_h_invalid) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p1, s7, c_invalid) | (~node34(c_p1, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p1, s6, c_write_h_invalid) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p1, s7, c_invalid) | (~node34(c_p1, s6, s7)))),
% 51.00/33.67 inference(rewrite,[status(thm)],[])).
% 51.00/33.67 tff(25550,plain,
% 51.00/33.67 (((~node34(c_p1, s6, s7)) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_state(c_p1, s7, c_invalid) | m_processor_v_CMD(c_p1, s6, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid))) <=> (m_processor_v_CMD(c_p1, s6, c_write_h_invalid) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p1, s7, c_invalid) | (~node34(c_p1, s6, s7)))),
% 51.00/33.67 inference(rewrite,[status(thm)],[])).
% 51.00/33.67 tff(25551,plain,
% 51.00/33.67 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s6, s7)) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_state(c_p1, s7, c_invalid) | m_processor_v_CMD(c_p1, s6, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | (m_processor_v_CMD(c_p1, s6, c_write_h_invalid) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p1, s7, c_invalid) | (~node34(c_p1, s6, s7))))),
% 51.00/33.67 inference(monotonicity,[status(thm)],[25550])).
% 51.00/33.67 tff(25552,plain,
% 51.00/33.67 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s6, s7)) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_state(c_p1, s7, c_invalid) | m_processor_v_CMD(c_p1, s6, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p1, s6, c_write_h_invalid) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p1, s7, c_invalid) | (~node34(c_p1, s6, s7)))),
% 51.00/33.67 inference(transitivity,[status(thm)],[25551, 25549])).
% 51.00/33.67 tff(25553,plain,
% 51.00/33.67 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | ((~node34(c_p1, s6, s7)) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_state(c_p1, s7, c_invalid) | m_processor_v_CMD(c_p1, s6, c_write_h_invalid) | (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid)))),
% 51.00/33.67 inference(quant_inst,[status(thm)],[])).
% 51.00/33.67 tff(25554,plain,
% 51.00/33.67 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_state(I0, Y, c_invalid) | m_processor_v_CMD(I0, X, c_write_h_invalid) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)))) | m_processor_v_CMD(c_p1, s6, c_write_h_invalid) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p1, s7, c_invalid) | (~node34(c_p1, s6, s7))),
% 51.00/33.67 inference(modus_ponens,[status(thm)],[25553, 25552])).
% 51.00/33.67 tff(25555,plain,
% 51.00/33.67 ($false),
% 51.00/33.67 inference(unit_resolution,[status(thm)],[25554, 438, 25548, 25547, 13102, 18371, 13522, 25506])).
% 51.00/33.67 tff(25556,plain,((~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid)) | m_processor_v_state(c_p1, s7, c_invalid) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | (~node34(c_p1, s6, s7))), inference(lemma,lemma(discharge,[]))).
% 51.00/33.67 tff(25557,plain,
% 51.00/33.67 (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid)),
% 51.00/33.67 inference(unit_resolution,[status(thm)],[25556, 13522, 25506, 13102, 25449])).
% 51.00/33.67 tff(25558,plain,
% 51.00/33.67 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s6, c_write_h_resp_h_invalid)) | (~node3(s6)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s6, c_write_h_resp_h_invalid)) | (~node3(s6)))),
% 51.00/33.67 inference(rewrite,[status(thm)],[])).
% 51.00/33.67 tff(25559,plain,
% 51.00/33.67 (((~m_main_v_CMD(s6, c_write_h_resp_h_invalid)) | (~node3(s6)) | m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid)) <=> (m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s6, c_write_h_resp_h_invalid)) | (~node3(s6)))),
% 51.00/33.67 inference(rewrite,[status(thm)],[])).
% 51.00/33.67 tff(25560,plain,
% 51.00/33.67 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s6, c_write_h_resp_h_invalid)) | (~node3(s6)) | m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s6, c_write_h_resp_h_invalid)) | (~node3(s6))))),
% 51.00/33.67 inference(monotonicity,[status(thm)],[25559])).
% 51.00/33.67 tff(25561,plain,
% 51.00/33.67 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s6, c_write_h_resp_h_invalid)) | (~node3(s6)) | m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s6, c_write_h_resp_h_invalid)) | (~node3(s6)))),
% 51.00/33.67 inference(transitivity,[status(thm)],[25560, 25558])).
% 51.00/33.67 tff(25562,plain,
% 51.00/33.67 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s6, c_write_h_resp_h_invalid)) | (~node3(s6)) | m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid))),
% 51.00/33.67 inference(quant_inst,[status(thm)],[])).
% 51.00/33.67 tff(25563,plain,
% 51.00/33.67 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s6, c_write_h_resp_h_invalid)) | (~node3(s6))),
% 51.06/33.67 inference(modus_ponens,[status(thm)],[25562, 25561])).
% 51.06/33.67 tff(25564,plain,
% 51.06/33.67 ($false),
% 51.06/33.67 inference(unit_resolution,[status(thm)],[25563, 1945, 16246, 18709, 18530])).
% 51.06/33.67 tff(25565,plain,((~m_main_v_CMD(s6, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.67 tff(25566,plain,
% 51.06/33.67 (~m_main_v_CMD(s6, c_write_h_resp_h_invalid)),
% 51.06/33.67 inference(unit_resolution,[status(thm)],[25565, 25557])).
% 51.06/33.67 tff(25567,plain,
% 51.06/33.67 (~node34(c_p1, s6, s7)),
% 51.06/33.67 inference(unit_resolution,[status(thm)],[25546, 13522, 13102, 25538, 18371])).
% 51.06/33.67 tff(25568,assumption,(node61(c_p1, s6)), introduced(assumption)).
% 51.06/33.67 tff(25569,plain,
% 51.06/33.67 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | (~node61(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | (~node61(c_p1, s6)))),
% 51.06/33.67 inference(rewrite,[status(thm)],[])).
% 51.06/33.67 tff(25570,plain,
% 51.06/33.67 ((m_processor_v_CMD(c_p1, s6, c_read_h_shared) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | (~node61(c_p1, s6))) <=> (m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | (~node61(c_p1, s6)))),
% 51.06/33.67 inference(rewrite,[status(thm)],[])).
% 51.06/33.67 tff(25571,plain,
% 51.06/33.67 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p1, s6, c_read_h_shared) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | (~node61(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | (~node61(c_p1, s6))))),
% 51.06/33.67 inference(monotonicity,[status(thm)],[25570])).
% 51.06/33.67 tff(25572,plain,
% 51.06/33.67 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p1, s6, c_read_h_shared) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | (~node61(c_p1, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | (~node61(c_p1, s6)))),
% 51.06/33.67 inference(transitivity,[status(thm)],[25571, 25569])).
% 51.06/33.67 tff(25573,plain,
% 51.06/33.67 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p1, s6, c_read_h_shared) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | (~node61(c_p1, s6)))),
% 51.06/33.67 inference(quant_inst,[status(thm)],[])).
% 51.06/33.67 tff(25574,plain,
% 51.06/33.67 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | (~node61(c_p1, s6))),
% 51.06/33.67 inference(modus_ponens,[status(thm)],[25573, 25572])).
% 51.06/33.67 tff(25575,plain,
% 51.06/33.67 ($false),
% 51.06/33.67 inference(unit_resolution,[status(thm)],[25574, 2268, 18371, 25568, 13522])).
% 51.06/33.67 tff(25576,plain,((~node61(c_p1, s6)) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | m_processor_v_CMD(c_p1, s6, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.67 tff(25577,plain,
% 51.06/33.67 (~node61(c_p1, s6)),
% 51.06/33.67 inference(unit_resolution,[status(thm)],[25576, 13522, 18371])).
% 51.06/33.67 tff(25578,plain,
% 51.06/33.67 (~m_processor_v_abort(c_p1, s6)),
% 51.06/33.67 inference(unit_resolution,[status(thm)],[16297, 25577, 16292])).
% 51.06/33.67 tff(25579,plain,
% 51.06/33.67 ($false),
% 51.06/33.67 inference(unit_resolution,[status(thm)],[25524, 25578, 25567, 16313])).
% 51.06/33.67 tff(25580,plain,(m_processor_v_CMD(c_p1, s6, c_read_h_owned) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_REPLY_h_STALL(c_p1, s6) | m_processor_v_state(c_p1, s7, c_invalid) | (~m_processor_v_CMD(c_p1, s6, c_write_h_invalid)) | m_processor_v_CMD(c_p1, s6, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.67 tff(25581,plain,
% 51.06/33.67 (~m_processor_v_CMD(c_p1, s6, c_write_h_invalid)),
% 51.06/33.67 inference(unit_resolution,[status(thm)],[25580, 13522, 16313, 13102, 16292, 25449])).
% 51.06/33.67 tff(25582,assumption,(~m_processor_v_CMD(c_p1, s6, c_write_h_invalid)), introduced(assumption)).
% 51.06/33.67 tff(25583,assumption,(m_main_v_CMD(s6, c_write_h_invalid)), introduced(assumption)).
% 51.06/33.67 tff(25584,plain,
% 51.06/33.67 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s6, c_write_h_invalid) | (~m_main_v_CMD(s6, c_write_h_invalid)) | (~node3(s6)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s6, c_write_h_invalid) | (~m_main_v_CMD(s6, c_write_h_invalid)) | (~node3(s6)))),
% 51.06/33.67 inference(rewrite,[status(thm)],[])).
% 51.06/33.67 tff(25585,plain,
% 51.06/33.67 (((~m_main_v_CMD(s6, c_write_h_invalid)) | (~node3(s6)) | m_processor_v_CMD(c_p1, s6, c_write_h_invalid)) <=> (m_processor_v_CMD(c_p1, s6, c_write_h_invalid) | (~m_main_v_CMD(s6, c_write_h_invalid)) | (~node3(s6)))),
% 51.06/33.67 inference(rewrite,[status(thm)],[])).
% 51.06/33.67 tff(25586,plain,
% 51.06/33.67 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s6, c_write_h_invalid)) | (~node3(s6)) | m_processor_v_CMD(c_p1, s6, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s6, c_write_h_invalid) | (~m_main_v_CMD(s6, c_write_h_invalid)) | (~node3(s6))))),
% 51.06/33.67 inference(monotonicity,[status(thm)],[25585])).
% 51.06/33.67 tff(25587,plain,
% 51.06/33.67 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s6, c_write_h_invalid)) | (~node3(s6)) | m_processor_v_CMD(c_p1, s6, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s6, c_write_h_invalid) | (~m_main_v_CMD(s6, c_write_h_invalid)) | (~node3(s6)))),
% 51.06/33.67 inference(transitivity,[status(thm)],[25586, 25584])).
% 51.06/33.67 tff(25588,plain,
% 51.06/33.67 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s6, c_write_h_invalid)) | (~node3(s6)) | m_processor_v_CMD(c_p1, s6, c_write_h_invalid))),
% 51.06/33.67 inference(quant_inst,[status(thm)],[])).
% 51.06/33.67 tff(25589,plain,
% 51.06/33.67 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s6, c_write_h_invalid) | (~m_main_v_CMD(s6, c_write_h_invalid)) | (~node3(s6))),
% 51.06/33.67 inference(modus_ponens,[status(thm)],[25588, 25587])).
% 51.06/33.67 tff(25590,plain,
% 51.06/33.67 ($false),
% 51.06/33.67 inference(unit_resolution,[status(thm)],[25589, 1945, 16246, 25583, 25582])).
% 51.06/33.67 tff(25591,plain,((~m_main_v_CMD(s6, c_write_h_invalid)) | m_processor_v_CMD(c_p1, s6, c_write_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.67 tff(25592,plain,
% 51.06/33.67 (~m_main_v_CMD(s6, c_write_h_invalid)),
% 51.06/33.67 inference(unit_resolution,[status(thm)],[25591, 25581])).
% 51.06/33.67 tff(25593,plain,
% 51.06/33.67 (~m_processor_v_cmd(c_p1, s6, c_write_h_invalid)),
% 51.06/33.67 inference(unit_resolution,[status(thm)],[18992, 25592, 18816])).
% 51.06/33.67 tff(25594,plain,
% 51.06/33.67 (~m_processor_v_snoop(c_p1, s6, c_invalid)),
% 51.06/33.67 inference(unit_resolution,[status(thm)],[19008, 18872, 16313, 113, 18995, 18996])).
% 51.06/33.67 tff(25595,assumption,(m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid)), introduced(assumption)).
% 51.06/33.67 tff(25596,plain,
% 51.06/33.67 ($false),
% 51.06/33.67 inference(unit_resolution,[status(thm)],[18961, 3481, 18522, 18816, 25595])).
% 51.06/33.67 tff(25597,plain,((~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid)) | m_main_v_CMD(s6, c_write_h_resp_h_invalid) | (~node10(s6))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.67 tff(25598,plain,
% 51.06/33.67 (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid)),
% 51.06/33.67 inference(unit_resolution,[status(thm)],[25597, 18522, 18816])).
% 51.06/33.67 tff(25599,plain,
% 51.06/33.67 (node62(c_p1, s6) | node63(c_p1, s6) | m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p1, s6, c_owned))),
% 51.06/33.67 inference(unit_resolution,[status(thm)],[18884, 7172, 113, 16313])).
% 51.06/33.67 tff(25600,plain,
% 51.06/33.67 (~m_processor_v_snoop(c_p1, s6, c_owned)),
% 51.06/33.67 inference(unit_resolution,[status(thm)],[25599, 25598, 18995, 18872])).
% 51.06/33.67 tff(25601,plain,
% 51.06/33.67 (~node64(c_p1, s6)),
% 51.06/33.67 inference(unit_resolution,[status(thm)],[18889, 4082, 25600])).
% 51.06/33.67 tff(25602,assumption,(~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)), introduced(assumption)).
% 51.06/33.67 tff(25603,assumption,(~node64(c_p1, s6)), introduced(assumption)).
% 51.06/33.67 tff(25604,plain,
% 51.06/33.67 (~m_processor_v_snoop(c_p1, s6, c_shared)),
% 51.06/33.67 inference(unit_resolution,[status(thm)],[18897, 25603, 16313, 18995, 18872, 25602])).
% 51.06/33.67 tff(25605,plain,
% 51.06/33.67 (~m_processor_v_cmd(c_p1, s6, c_idle)),
% 51.06/33.67 inference(unit_resolution,[status(thm)],[18923, 18872, 113, 16313])).
% 51.06/33.67 tff(25606,plain,
% 51.06/33.67 (node64(c_p1, s6) | node65(c_p1, s6) | node66(c_p1, s6)),
% 51.06/33.67 inference(unit_resolution,[status(thm)],[14154, 1508, 25605, 18872, 18995])).
% 51.06/33.67 tff(25607,plain,
% 51.06/33.67 (node65(c_p1, s6)),
% 51.06/33.67 inference(unit_resolution,[status(thm)],[25606, 25603, 18867])).
% 51.06/33.67 tff(25608,plain,
% 51.06/33.67 ($false),
% 51.06/33.67 inference(unit_resolution,[status(thm)],[18921, 4107, 25607, 25604])).
% 51.06/33.67 tff(25609,plain,(node64(c_p1, s6) | (~m_processor_v_master(c_p1, s6)) | node63(c_p1, s6) | node62(c_p1, s6) | m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared) | (~m_processor_v_state(c_p1, s6, c_owned)) | node66(c_p1, s6)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.67 tff(25610,plain,
% 51.06/33.67 (m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)),
% 51.06/33.67 inference(unit_resolution,[status(thm)],[25609, 18867, 16313, 113, 18872, 18995, 25601])).
% 51.06/33.67 tff(25611,plain,
% 51.06/33.67 (~m_processor_v_cmd(c_p1, s6, c_idle)),
% 51.06/33.67 inference(unit_resolution,[status(thm)],[18923, 18872, 16313, 113])).
% 51.06/33.67 tff(25612,plain,
% 51.06/33.67 (m_main_v_CMD(s6, c_write_h_resp_h_shared)),
% 51.06/33.67 inference(unit_resolution,[status(thm)],[18970, 18867, 16313, 113, 25611, 18761, 18522, 18872])).
% 51.06/33.67 tff(25613,plain,
% 51.06/33.67 (((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s6, c_write_h_invalid)) | (~m_main_v_CMD(s6, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s6, c_write_h_invalid)) | (~m_main_v_CMD(s6, c_write_h_resp_h_shared)))),
% 51.06/33.67 inference(rewrite,[status(thm)],[])).
% 51.06/33.67 tff(25614,plain,
% 51.06/33.67 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s6, c_write_h_invalid)) | (~m_main_v_CMD(s6, c_write_h_resp_h_shared)))),
% 51.06/33.67 inference(quant_inst,[status(thm)],[])).
% 51.06/33.67 tff(25615,plain,
% 51.06/33.67 ((~![X: $i] : ((~m_main_v_CMD(X, c_write_h_invalid)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s6, c_write_h_invalid)) | (~m_main_v_CMD(s6, c_write_h_resp_h_shared))),
% 51.06/33.67 inference(modus_ponens,[status(thm)],[25614, 25613])).
% 51.06/33.67 tff(25616,plain,
% 51.06/33.67 (~m_main_v_CMD(s6, c_write_h_invalid)),
% 51.06/33.67 inference(unit_resolution,[status(thm)],[25615, 17521, 25612])).
% 51.06/33.67 tff(25617,plain,
% 51.06/33.67 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s6, c_write_h_invalid) | (~node3(s6)) | (~m_processor_v_CMD(c_p1, s6, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s6, c_write_h_invalid) | (~node3(s6)) | (~m_processor_v_CMD(c_p1, s6, c_write_h_invalid)))),
% 51.06/33.67 inference(rewrite,[status(thm)],[])).
% 51.06/33.67 tff(25618,plain,
% 51.06/33.67 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s6, c_write_h_invalid) | (~node3(s6)) | (~m_processor_v_CMD(c_p1, s6, c_write_h_invalid)))),
% 51.06/33.67 inference(quant_inst,[status(thm)],[])).
% 51.06/33.67 tff(25619,plain,
% 51.06/33.67 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s6, c_write_h_invalid) | (~node3(s6)) | (~m_processor_v_CMD(c_p1, s6, c_write_h_invalid))),
% 51.06/33.67 inference(modus_ponens,[status(thm)],[25618, 25617])).
% 51.06/33.68 tff(25620,plain,
% 51.06/33.68 (~m_processor_v_CMD(c_p1, s6, c_write_h_invalid)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[25619, 1260, 16246, 25616])).
% 51.06/33.68 tff(25621,plain,
% 51.06/33.68 (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[19014, 1260, 16246, 14317])).
% 51.06/33.68 tff(25622,assumption,(m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)), introduced(assumption)).
% 51.06/33.68 tff(25623,plain,
% 51.06/33.68 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_write_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))) <=> ((~m_processor_v_cmd(I0, X, c_write_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))))),
% 51.06/33.68 inference(bind,[status(th)],[])).
% 51.06/33.68 tff(25624,plain,
% 51.06/33.68 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 51.06/33.68 inference(quant_intro,[status(thm)],[25623])).
% 51.06/33.68 tff(25625,plain,
% 51.06/33.68 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 51.06/33.68 inference(rewrite,[status(thm)],[])).
% 51.06/33.68 tff(25626,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_29')).
% 51.06/33.68 tff(25627,plain,
% 51.06/33.68 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 51.06/33.68 inference(modus_ponens,[status(thm)],[25626, 25625])).
% 51.06/33.68 tff(25628,plain,(
% 51.06/33.68 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 51.06/33.68 inference(skolemize,[status(sab)],[25627])).
% 51.06/33.68 tff(25629,plain,
% 51.06/33.68 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))),
% 51.06/33.68 inference(modus_ponens,[status(thm)],[25628, 25624])).
% 51.06/33.68 tff(25630,plain,
% 51.06/33.68 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_shared)))),
% 51.06/33.68 inference(rewrite,[status(thm)],[])).
% 51.06/33.68 tff(25631,plain,
% 51.06/33.68 (((~m_processor_v_cmd(c_p1, s6, c_write_h_shared)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared))) <=> ((~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_shared)))),
% 51.06/33.68 inference(rewrite,[status(thm)],[])).
% 51.06/33.68 tff(25632,plain,
% 51.06/33.68 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p1, s6, c_write_h_shared)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_shared))))),
% 51.06/33.68 inference(monotonicity,[status(thm)],[25631])).
% 51.06/33.68 tff(25633,plain,
% 51.06/33.68 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p1, s6, c_write_h_shared)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_shared)))),
% 51.06/33.68 inference(transitivity,[status(thm)],[25632, 25630])).
% 51.06/33.68 tff(25634,plain,
% 51.06/33.68 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p1, s6, c_write_h_shared)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)))),
% 51.06/33.68 inference(quant_inst,[status(thm)],[])).
% 51.06/33.68 tff(25635,plain,
% 51.06/33.68 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_shared))),
% 51.06/33.68 inference(modus_ponens,[status(thm)],[25634, 25633])).
% 51.06/33.68 tff(25636,plain,
% 51.06/33.68 (~m_processor_v_cmd(c_p1, s6, c_write_h_shared)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[25635, 25629, 25622])).
% 51.06/33.68 tff(25637,plain,
% 51.06/33.68 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~node10(s6)) | m_processor_v_cmd(c_p1, s6, c_write_h_shared) | (~m_main_v_CMD(s6, c_write_h_shared)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s6)) | m_processor_v_cmd(c_p1, s6, c_write_h_shared) | (~m_main_v_CMD(s6, c_write_h_shared)))),
% 51.06/33.68 inference(rewrite,[status(thm)],[])).
% 51.06/33.68 tff(25638,plain,
% 51.06/33.68 (((~m_main_v_CMD(s6, c_write_h_shared)) | (~node10(s6)) | m_processor_v_cmd(c_p1, s6, c_write_h_shared)) <=> ((~node10(s6)) | m_processor_v_cmd(c_p1, s6, c_write_h_shared) | (~m_main_v_CMD(s6, c_write_h_shared)))),
% 51.06/33.68 inference(rewrite,[status(thm)],[])).
% 51.06/33.68 tff(25639,plain,
% 51.06/33.68 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s6, c_write_h_shared)) | (~node10(s6)) | m_processor_v_cmd(c_p1, s6, c_write_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~node10(s6)) | m_processor_v_cmd(c_p1, s6, c_write_h_shared) | (~m_main_v_CMD(s6, c_write_h_shared))))),
% 51.06/33.68 inference(monotonicity,[status(thm)],[25638])).
% 51.06/33.68 tff(25640,plain,
% 51.06/33.68 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s6, c_write_h_shared)) | (~node10(s6)) | m_processor_v_cmd(c_p1, s6, c_write_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s6)) | m_processor_v_cmd(c_p1, s6, c_write_h_shared) | (~m_main_v_CMD(s6, c_write_h_shared)))),
% 51.06/33.68 inference(transitivity,[status(thm)],[25639, 25637])).
% 51.06/33.68 tff(25641,plain,
% 51.06/33.68 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s6, c_write_h_shared)) | (~node10(s6)) | m_processor_v_cmd(c_p1, s6, c_write_h_shared))),
% 51.06/33.68 inference(quant_inst,[status(thm)],[])).
% 51.06/33.68 tff(25642,plain,
% 51.06/33.68 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s6)) | m_processor_v_cmd(c_p1, s6, c_write_h_shared) | (~m_main_v_CMD(s6, c_write_h_shared))),
% 51.06/33.68 inference(modus_ponens,[status(thm)],[25641, 25640])).
% 51.06/33.68 tff(25643,plain,
% 51.06/33.68 (~m_main_v_CMD(s6, c_write_h_shared)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[25642, 3512, 18816, 25636])).
% 51.06/33.68 tff(25644,plain,
% 51.06/33.68 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s6, c_write_h_shared) | (~node3(s6)) | (~m_processor_v_CMD(c_p1, s6, c_write_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s6, c_write_h_shared) | (~node3(s6)) | (~m_processor_v_CMD(c_p1, s6, c_write_h_shared)))),
% 51.06/33.68 inference(rewrite,[status(thm)],[])).
% 51.06/33.68 tff(25645,plain,
% 51.06/33.68 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s6, c_write_h_shared) | (~node3(s6)) | (~m_processor_v_CMD(c_p1, s6, c_write_h_shared)))),
% 51.06/33.68 inference(quant_inst,[status(thm)],[])).
% 51.06/33.68 tff(25646,plain,
% 51.06/33.68 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s6, c_write_h_shared) | (~node3(s6)) | (~m_processor_v_CMD(c_p1, s6, c_write_h_shared))),
% 51.06/33.68 inference(modus_ponens,[status(thm)],[25645, 25644])).
% 51.06/33.68 tff(25647,plain,
% 51.06/33.68 (~m_processor_v_CMD(c_p1, s6, c_write_h_shared)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[25646, 1260, 16246, 25643])).
% 51.06/33.68 tff(25648,plain,
% 51.06/33.68 (m_main_v_CMD(s6, c_write_h_resp_h_shared)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[18953, 3481, 18816, 25622])).
% 51.06/33.68 tff(25649,plain,
% 51.06/33.68 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared) | (~m_main_v_CMD(s6, c_write_h_resp_h_shared)) | (~node3(s6)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared) | (~m_main_v_CMD(s6, c_write_h_resp_h_shared)) | (~node3(s6)))),
% 51.06/33.68 inference(rewrite,[status(thm)],[])).
% 51.06/33.68 tff(25650,plain,
% 51.06/33.68 (((~m_main_v_CMD(s6, c_write_h_resp_h_shared)) | (~node3(s6)) | m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared) | (~m_main_v_CMD(s6, c_write_h_resp_h_shared)) | (~node3(s6)))),
% 51.06/33.68 inference(rewrite,[status(thm)],[])).
% 51.06/33.68 tff(25651,plain,
% 51.06/33.68 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s6, c_write_h_resp_h_shared)) | (~node3(s6)) | m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | (m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared) | (~m_main_v_CMD(s6, c_write_h_resp_h_shared)) | (~node3(s6))))),
% 51.06/33.68 inference(monotonicity,[status(thm)],[25650])).
% 51.06/33.68 tff(25652,plain,
% 51.06/33.68 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s6, c_write_h_resp_h_shared)) | (~node3(s6)) | m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared) | (~m_main_v_CMD(s6, c_write_h_resp_h_shared)) | (~node3(s6)))),
% 51.06/33.68 inference(transitivity,[status(thm)],[25651, 25649])).
% 51.06/33.68 tff(25653,plain,
% 51.06/33.68 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | ((~m_main_v_CMD(s6, c_write_h_resp_h_shared)) | (~node3(s6)) | m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared))),
% 51.06/33.68 inference(quant_inst,[status(thm)],[])).
% 51.06/33.68 tff(25654,plain,
% 51.06/33.68 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node3(X)) | m_processor_v_CMD(c_p1, X, V))) | m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared) | (~m_main_v_CMD(s6, c_write_h_resp_h_shared)) | (~node3(s6))),
% 51.06/33.68 inference(modus_ponens,[status(thm)],[25653, 25652])).
% 51.06/33.68 tff(25655,plain,
% 51.06/33.68 (m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[25654, 1945, 16246, 25648])).
% 51.06/33.68 tff(25656,plain,
% 51.06/33.68 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)))),
% 51.06/33.68 inference(rewrite,[status(thm)],[])).
% 51.06/33.68 tff(25657,plain,
% 51.06/33.68 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)))),
% 51.06/33.68 inference(quant_inst,[status(thm)],[])).
% 51.06/33.68 tff(25658,plain,
% 51.06/33.68 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid)) | (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared))),
% 51.06/33.68 inference(modus_ponens,[status(thm)],[25657, 25656])).
% 51.06/33.68 tff(25659,plain,
% 51.06/33.68 (~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[25658, 17267, 25622])).
% 51.06/33.68 tff(25660,plain,
% 51.06/33.68 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid) | (~node10(s6)) | (~m_main_v_CMD(s6, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid) | (~node10(s6)) | (~m_main_v_CMD(s6, c_write_h_resp_h_invalid)))),
% 51.06/33.68 inference(rewrite,[status(thm)],[])).
% 51.06/33.68 tff(25661,plain,
% 51.06/33.68 (((~m_main_v_CMD(s6, c_write_h_resp_h_invalid)) | (~node10(s6)) | m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid)) <=> (m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid) | (~node10(s6)) | (~m_main_v_CMD(s6, c_write_h_resp_h_invalid)))),
% 51.06/33.68 inference(rewrite,[status(thm)],[])).
% 51.06/33.68 tff(25662,plain,
% 51.06/33.68 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s6, c_write_h_resp_h_invalid)) | (~node10(s6)) | m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid) | (~node10(s6)) | (~m_main_v_CMD(s6, c_write_h_resp_h_invalid))))),
% 51.06/33.68 inference(monotonicity,[status(thm)],[25661])).
% 51.06/33.68 tff(25663,plain,
% 51.06/33.68 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s6, c_write_h_resp_h_invalid)) | (~node10(s6)) | m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid) | (~node10(s6)) | (~m_main_v_CMD(s6, c_write_h_resp_h_invalid)))),
% 51.06/33.68 inference(transitivity,[status(thm)],[25662, 25660])).
% 51.06/33.68 tff(25664,plain,
% 51.06/33.68 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s6, c_write_h_resp_h_invalid)) | (~node10(s6)) | m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid))),
% 51.06/33.68 inference(quant_inst,[status(thm)],[])).
% 51.06/33.68 tff(25665,plain,
% 51.06/33.68 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_invalid) | (~node10(s6)) | (~m_main_v_CMD(s6, c_write_h_resp_h_invalid))),
% 51.06/33.68 inference(modus_ponens,[status(thm)],[25664, 25663])).
% 51.06/33.68 tff(25666,plain,
% 51.06/33.68 (~m_main_v_CMD(s6, c_write_h_resp_h_invalid)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[25665, 3512, 18816, 25659])).
% 51.06/33.68 tff(25667,plain,
% 51.06/33.68 (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[18706, 1260, 16246, 25666])).
% 51.06/33.68 tff(25668,plain,
% 51.06/33.68 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s6, c_write_h_invalid) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | m_processor_v_CMD(c_p1, s6, c_write_h_shared) | m_processor_v_state(c_p1, s7, c_shared) | (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared)) | (~node34(c_p1, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s6, c_write_h_invalid) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | m_processor_v_CMD(c_p1, s6, c_write_h_shared) | m_processor_v_state(c_p1, s7, c_shared) | (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared)) | (~node34(c_p1, s6, s7)))),
% 51.06/33.68 inference(rewrite,[status(thm)],[])).
% 51.06/33.68 tff(25669,plain,
% 51.06/33.68 (((~node34(c_p1, s6, s7)) | m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_CMD(c_p1, s6, c_write_h_invalid) | m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s6, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared))) <=> (m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s6, c_write_h_invalid) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | m_processor_v_CMD(c_p1, s6, c_write_h_shared) | m_processor_v_state(c_p1, s7, c_shared) | (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared)) | (~node34(c_p1, s6, s7)))),
% 51.06/33.68 inference(rewrite,[status(thm)],[])).
% 51.06/33.68 tff(25670,plain,
% 51.06/33.68 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s6, s7)) | m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_CMD(c_p1, s6, c_write_h_invalid) | m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s6, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | (m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s6, c_write_h_invalid) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | m_processor_v_CMD(c_p1, s6, c_write_h_shared) | m_processor_v_state(c_p1, s7, c_shared) | (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared)) | (~node34(c_p1, s6, s7))))),
% 51.06/33.68 inference(monotonicity,[status(thm)],[25669])).
% 51.06/33.68 tff(25671,plain,
% 51.06/33.68 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s6, s7)) | m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_CMD(c_p1, s6, c_write_h_invalid) | m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s6, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s6, c_write_h_invalid) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | m_processor_v_CMD(c_p1, s6, c_write_h_shared) | m_processor_v_state(c_p1, s7, c_shared) | (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared)) | (~node34(c_p1, s6, s7)))),
% 51.06/33.68 inference(transitivity,[status(thm)],[25670, 25668])).
% 51.06/33.68 tff(25672,plain,
% 51.06/33.68 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | ((~node34(c_p1, s6, s7)) | m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_CMD(c_p1, s6, c_write_h_invalid) | m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s6, c_write_h_shared) | (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared)))),
% 51.06/33.68 inference(quant_inst,[status(thm)],[])).
% 51.06/33.68 tff(25673,plain,
% 51.06/33.68 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)))) | m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s6, c_write_h_invalid) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | m_processor_v_CMD(c_p1, s6, c_write_h_shared) | m_processor_v_state(c_p1, s7, c_shared) | (~m_processor_v_CMD(c_p1, s6, c_write_h_resp_h_shared)) | (~node34(c_p1, s6, s7))),
% 51.06/33.68 inference(modus_ponens,[status(thm)],[25672, 25671])).
% 51.06/33.68 tff(25674,plain,
% 51.06/33.68 ($false),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[25673, 492, 25667, 25582, 13063, 18371, 13522, 25506, 25655, 25647])).
% 51.06/33.68 tff(25675,plain,((~m_processor_v_cmd(c_p1, s6, c_write_h_resp_h_shared)) | m_processor_v_CMD(c_p1, s6, c_write_h_invalid) | m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | (~node34(c_p1, s6, s7)) | (~node10(s6))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.68 tff(25676,plain,
% 51.06/33.68 ($false),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[25675, 25621, 25620, 13063, 18816, 13522, 25506, 25610])).
% 51.06/33.68 tff(25677,plain,(node66(c_p1, s6) | m_processor_v_state(c_p1, s7, c_shared) | (~node10(s6)) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | (~node34(c_p1, s6, s7)) | m_main_v_CMD(s6, c_read_h_shared) | (~m_processor_v_master(c_p1, s6)) | (~m_processor_v_state(c_p1, s6, c_owned)) | node62(c_p1, s6) | node63(c_p1, s6) | m_main_v_CMD(s6, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.68 tff(25678,plain,
% 51.06/33.68 (node66(c_p1, s6)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[25677, 18872, 18816, 18522, 25506, 14317, 16313, 113, 13522, 18995, 13063])).
% 51.06/33.68 tff(25679,plain,
% 51.06/33.68 ($false),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[18976, 9118, 25678, 25594])).
% 51.06/33.68 tff(25680,plain,(node62(c_p1, s6) | (~node10(s6)) | m_main_v_CMD(s6, c_write_h_resp_h_invalid) | (~node34(c_p1, s6, s7)) | m_main_v_CMD(s6, c_read_h_shared) | (~m_processor_v_master(c_p1, s6)) | (~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | node63(c_p1, s6) | m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_cmd(c_p1, s6, c_write_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.68 tff(25681,plain,
% 51.06/33.68 ($false),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[25680, 25593, 25566, 13063, 18872, 16313, 18995, 25506, 18816, 25448, 13522, 113])).
% 51.06/33.68 tff(25682,plain,(m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_state(c_p1, s7, c_shared) | node62(c_p1, s6) | (~m_processor_v_master(c_p1, s6)) | node63(c_p1, s6) | (~node34(c_p1, s6, s7)) | (~node10(s6)) | (~m_processor_v_state(c_p1, s6, c_owned)) | m_processor_v_state(c_p1, s7, c_invalid) | m_processor_v_REPLY_h_STALL(c_p1, s6)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.68 tff(25683,plain,
% 51.06/33.68 (~node10(s6)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[25682, 159, 13063, 16313, 13522, 16292, 25506, 25537, 13102, 25536])).
% 51.06/33.68 tff(25684,plain,
% 51.06/33.68 (~m_processor_v_cmd(c_p1, s6, c_idle)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[18923, 159, 16313, 25537])).
% 51.06/33.68 tff(25685,plain,
% 51.06/33.68 (~node9(s6)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[18794, 25684])).
% 51.06/33.68 tff(25686,plain,
% 51.06/33.68 ($false),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[18805, 25685, 25683, 18761, 18759, 18770])).
% 51.06/33.68 tff(25687,plain,(m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s7, c_shared) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_CMD(c_p1, s6, c_read_h_owned) | m_processor_v_REPLY_h_STALL(c_p1, s6) | (~node34(c_p1, s6, s7)) | m_processor_v_state(c_p1, s7, c_invalid) | m_processor_v_state(c_p1, s6, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.68 tff(25688,plain,
% 51.06/33.68 (m_processor_v_state(c_p1, s6, c_shared)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[25687, 25535, 16313, 13063, 18351, 25529, 13102, 25527])).
% 51.06/33.68 tff(25689,plain,
% 51.06/33.68 (m_processor_v_cmd(c_p1, s6, c_read_h_owned)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[25468, 25688, 25528])).
% 51.06/33.68 tff(25690,plain,
% 51.06/33.68 (~node10(s6)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[19097, 25689, 25499])).
% 51.06/33.68 tff(25691,plain,
% 51.06/33.68 (~m_processor_v_cmd(c_p1, s6, c_idle)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[19092, 25689])).
% 51.06/33.68 tff(25692,plain,
% 51.06/33.68 (~node9(s6)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[18794, 25691])).
% 51.06/33.68 tff(25693,plain,
% 51.06/33.68 ($false),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[18805, 25692, 25690, 18761, 18759, 18770])).
% 51.06/33.68 tff(25694,plain,(m_processor_v_abort(c_p1, s6) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_state(c_p1, s7, c_invalid) | (~m_memory_v_busy(c_m, s6))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.68 tff(25695,plain,
% 51.06/33.68 (m_processor_v_abort(c_p1, s6)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[25694, 24567, 13063, 13102, 16313])).
% 51.06/33.68 tff(25696,plain,
% 51.06/33.68 (node32(c_p1, s6, s7)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[13472, 25695])).
% 51.06/33.68 tff(25697,plain,
% 51.06/33.68 (~m_processor_v_state(c_p1, s6, c_shared)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[13531, 25696, 13063])).
% 51.06/33.68 tff(25698,plain,
% 51.06/33.68 (~m_processor_v_state(c_p1, s6, c_invalid)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[13447, 25696, 13102])).
% 51.06/33.68 tff(25699,plain,
% 51.06/33.68 (m_processor_v_state(c_p1, s6, c_owned)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[158, 25697, 25698])).
% 51.06/33.68 tff(25700,plain,
% 51.06/33.68 (m_processor_v_master(c_p1, s5)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[531, 25699, 53, 25697])).
% 51.06/33.68 tff(25701,plain,
% 51.06/33.68 (~m_processor_v_master(c_p0, s5)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[797, 794, 25700])).
% 51.06/33.68 tff(25702,plain,
% 51.06/33.68 (m_processor_v_reply_h_owned(c_p0, s5)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[18204, 25701, 813, 812])).
% 51.06/33.68 tff(25703,plain,
% 51.06/33.68 (~node5(s5)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[18212, 25702])).
% 51.06/33.68 tff(25704,plain,
% 51.06/33.68 (m_main_v_REPLY_h_OWNED(s5)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[18220, 25703])).
% 51.06/33.68 tff(25705,plain,
% 51.06/33.68 (m_memory_v_REPLY_h_OWNED(c_m, s5)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[18228, 25704])).
% 51.06/33.68 tff(25706,plain,
% 51.06/33.68 (~m_processor_v_state(c_p1, s6, c_shared)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[13531, 13438, 13063])).
% 51.06/33.68 tff(25707,plain,
% 51.06/33.68 (~m_processor_v_state(c_p1, s6, c_invalid)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[13447, 13438, 13102])).
% 51.06/33.68 tff(25708,plain,
% 51.06/33.68 ($false),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[629, 25707, 25706, 424, 53])).
% 51.06/33.68 tff(25709,plain,((~node32(c_p1, s6, s7)) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p1, s7, c_invalid) | m_processor_v_state(c_p1, s7, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.68 tff(25710,plain,
% 51.06/33.68 (m_processor_v_CMD(c_p1, s5, c_read_h_owned)),
% 51.06/33.68 inference(unit_resolution,[status(thm)],[25709, 25696, 53, 13063, 13102])).
% 51.06/33.69 tff(25711,plain,
% 51.06/33.69 (m_main_v_CMD(s5, c_read_h_owned)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[13623, 1260, 25710, 13607])).
% 51.06/33.69 tff(25712,plain,
% 51.06/33.69 (m_memory_v_CMD(c_m, s5, c_read_h_owned)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[18233, 4207, 25711, 6954])).
% 51.06/33.69 tff(25713,plain,
% 51.06/33.69 (~node25(c_m, s5)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[18237, 9959, 25712])).
% 51.06/33.69 tff(25714,plain,
% 51.06/33.69 (~node26(c_m, s5)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[18246, 25713, 25705])).
% 51.06/33.69 tff(25715,plain,
% 51.06/33.69 (m_memory_v_abort(c_m, s5)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[18254, 25714])).
% 51.06/33.69 tff(25716,plain,
% 51.06/33.69 (node18(c_m, s5, s6)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[18266, 25715])).
% 51.06/33.69 tff(25717,plain,
% 51.06/33.69 (~node32(c_p1, s5, s6)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[566, 25697, 53, 25698])).
% 51.06/33.69 tff(25718,plain,
% 51.06/33.69 (~m_processor_v_abort(c_p1, s5)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[250, 25717])).
% 51.06/33.69 tff(25719,plain,
% 51.06/33.69 (node60(c_p1, s5)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[698, 25718])).
% 51.06/33.69 tff(25720,plain,
% 51.06/33.69 (~m_processor_v_REPLY_h_STALL(c_p1, s5)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[13790, 25719])).
% 51.06/33.69 tff(25721,plain,
% 51.06/33.69 (~m_main_v_REPLY_h_STALL(s5)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[13797, 25720])).
% 51.06/33.69 tff(25722,plain,
% 51.06/33.69 (node7(s5)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[7305, 25721])).
% 51.06/33.69 tff(25723,plain,
% 51.06/33.69 (~m_memory_v_reply_h_stall(c_m, s5)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[7313, 25722])).
% 51.06/33.69 tff(25724,plain,
% 51.06/33.69 (~node30(c_m, s5)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[18278, 25712])).
% 51.06/33.69 tff(25725,plain,
% 51.06/33.69 (~m_memory_v_busy(c_m, s5)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[7322, 25724, 25723])).
% 51.06/33.69 tff(25726,plain,
% 51.06/33.69 ($false),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[18286, 10278, 24567, 25725, 25716])).
% 51.06/33.69 tff(25727,plain,((~m_memory_v_busy(c_m, s6)) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s6, c_invalid) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_state(c_p1, s7, c_invalid) | (~m_processor_v_master(c_p1, s6))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.69 tff(25728,plain,
% 51.06/33.69 (~m_memory_v_busy(c_m, s6)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25727, 53, 25494, 25493, 24982, 13404, 25446])).
% 51.06/33.69 tff(25729,plain,
% 51.06/33.69 (~m_memory_v_busy(c_m, s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25438, 25728, 25492])).
% 51.06/33.69 tff(25730,plain,
% 51.06/33.69 (~node29(c_m, s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[24392, 25729])).
% 51.06/33.69 tff(25731,plain,
% 51.06/33.69 (m_memory_v_cmd(c_m, s7, c_idle)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[13225, 25730])).
% 51.06/33.69 tff(25732,plain,
% 51.06/33.69 (m_processor_v_abort(c_p1, s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25377, 25731, 24991, 24990, 23598, 13400, 24981, 25477])).
% 51.06/33.69 tff(25733,plain,
% 51.06/33.69 (node46(c_p1, s7, s8)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25385, 25732])).
% 51.06/33.69 tff(25734,plain,
% 51.06/33.69 ($false),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25392, 11708, 25476, 24981, 25733])).
% 51.06/33.69 tff(25735,plain,(m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_master(c_p0, s7) | node67(s9)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.69 tff(25736,plain,
% 51.06/33.69 (m_processor_v_master(c_p0, s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25735, 5949, 53])).
% 51.06/33.69 tff(25737,plain,
% 51.06/33.69 (m_processor_v_writable(c_p1, s8)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[5697, 19101])).
% 51.06/33.69 tff(25738,plain,
% 51.06/33.69 (node56(c_p1, s8)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[5686, 25737])).
% 51.06/33.69 tff(25739,plain,
% 51.06/33.69 (~m_processor_v_waiting(c_p1, s8)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[13159, 25738])).
% 51.06/33.69 tff(25740,plain,
% 51.06/33.69 (~m_processor_v_state(c_p1, s7, c_shared)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[13520, 18160])).
% 51.06/33.69 tff(25741,plain,
% 51.06/33.69 (~m_processor_v_state(c_p1, s6, c_owned)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[140, 137, 13439])).
% 51.06/33.69 tff(25742,plain,
% 51.06/33.69 (m_processor_v_master(c_p1, s6)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[13463, 18160, 25741, 1])).
% 51.06/33.69 tff(25743,plain,
% 51.06/33.69 (~m_processor_v_state(c_p1, s7, c_invalid)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[13403, 137, 18160])).
% 51.06/33.69 tff(25744,plain,
% 51.06/33.69 (m_processor_v_waiting(c_p1, s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25475, 25743, 673, 25742, 25740])).
% 51.06/33.69 tff(25745,assumption,(node46(c_p1, s7, s8)), introduced(assumption)).
% 51.06/33.69 tff(25746,plain,
% 51.06/33.69 ($false),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25392, 11708, 25202, 24992, 25745])).
% 51.06/33.69 tff(25747,plain,((~node46(c_p1, s7, s8)) | (~m_processor_v_waiting(c_p1, s7)) | m_processor_v_waiting(c_p1, s8)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.69 tff(25748,plain,
% 51.06/33.69 (~node46(c_p1, s7, s8)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25747, 25744, 25739])).
% 51.06/33.69 tff(25749,plain,
% 51.06/33.69 (~m_processor_v_abort(c_p1, s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25385, 25748])).
% 51.06/33.69 tff(25750,plain,
% 51.06/33.69 (node60(c_p1, s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[24175, 25749])).
% 51.06/33.69 tff(25751,plain,
% 51.06/33.69 (((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p1, s7)) | (~node60(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p1, s7)) | (~node60(c_p1, s7)))),
% 51.06/33.69 inference(rewrite,[status(thm)],[])).
% 51.06/33.69 tff(25752,plain,
% 51.06/33.69 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p1, s7)) | (~node60(c_p1, s7)))),
% 51.06/33.69 inference(quant_inst,[status(thm)],[])).
% 51.06/33.69 tff(25753,plain,
% 51.06/33.69 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p1, s7)) | (~node60(c_p1, s7))),
% 51.06/33.69 inference(modus_ponens,[status(thm)],[25752, 25751])).
% 51.06/33.69 tff(25754,plain,
% 51.06/33.69 ($false),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25753, 1363, 24188, 23944])).
% 51.06/33.69 tff(25755,plain,((~node60(c_p1, s7)) | (~m_processor_v_REPLY_h_STALL(c_p1, s7))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.69 tff(25756,plain,
% 51.06/33.69 (~m_processor_v_REPLY_h_STALL(c_p1, s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25755, 24188])).
% 51.06/33.69 tff(25757,plain,
% 51.06/33.69 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | ((~m_main_v_REPLY_h_STALL(s7)) | m_processor_v_REPLY_h_STALL(c_p1, s7))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | (~m_main_v_REPLY_h_STALL(s7)) | m_processor_v_REPLY_h_STALL(c_p1, s7))),
% 51.06/33.69 inference(rewrite,[status(thm)],[])).
% 51.06/33.69 tff(25758,plain,
% 51.06/33.69 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | ((~m_main_v_REPLY_h_STALL(s7)) | m_processor_v_REPLY_h_STALL(c_p1, s7))),
% 51.06/33.69 inference(quant_inst,[status(thm)],[])).
% 51.06/33.69 tff(25759,plain,
% 51.06/33.69 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p1, X))) | (~m_main_v_REPLY_h_STALL(s7)) | m_processor_v_REPLY_h_STALL(c_p1, s7)),
% 51.06/33.69 inference(modus_ponens,[status(thm)],[25758, 25757])).
% 51.06/33.69 tff(25760,plain,
% 51.06/33.69 ($false),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25759, 1713, 15433, 23953])).
% 51.06/33.69 tff(25761,plain,(m_processor_v_REPLY_h_STALL(c_p1, s7) | (~m_main_v_REPLY_h_STALL(s7))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.69 tff(25762,plain,
% 51.06/33.69 (~m_main_v_REPLY_h_STALL(s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25761, 25756])).
% 51.06/33.69 tff(25763,plain,
% 51.06/33.69 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | (m_main_v_REPLY_h_STALL(s7) | (~m_processor_v_REPLY_h_STALL(c_p0, s7)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | m_main_v_REPLY_h_STALL(s7) | (~m_processor_v_REPLY_h_STALL(c_p0, s7)))),
% 51.06/33.69 inference(rewrite,[status(thm)],[])).
% 51.06/33.69 tff(25764,plain,
% 51.06/33.69 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | (m_main_v_REPLY_h_STALL(s7) | (~m_processor_v_REPLY_h_STALL(c_p0, s7)))),
% 51.06/33.69 inference(quant_inst,[status(thm)],[])).
% 51.06/33.69 tff(25765,plain,
% 51.06/33.69 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p0, X)))) | m_main_v_REPLY_h_STALL(s7) | (~m_processor_v_REPLY_h_STALL(c_p0, s7))),
% 51.06/33.69 inference(modus_ponens,[status(thm)],[25764, 25763])).
% 51.06/33.69 tff(25766,plain,
% 51.06/33.69 ($false),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25765, 1729, 15441, 15425])).
% 51.06/33.69 tff(25767,plain,((~m_processor_v_REPLY_h_STALL(c_p0, s7)) | m_main_v_REPLY_h_STALL(s7)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.69 tff(25768,plain,
% 51.06/33.69 (~m_processor_v_REPLY_h_STALL(c_p0, s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25767, 25762])).
% 51.06/33.69 tff(25769,assumption,(m_processor_v_abort(c_p0, s7)), introduced(assumption)).
% 51.06/33.69 tff(25770,assumption,(~node61(c_p0, s7)), introduced(assumption)).
% 51.06/33.69 tff(25771,plain,
% 51.06/33.69 (((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p0, s7)) | m_processor_v_REPLY_h_STALL(c_p0, s7) | node61(c_p0, s7))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p0, s7)) | m_processor_v_REPLY_h_STALL(c_p0, s7) | node61(c_p0, s7))),
% 51.06/33.69 inference(rewrite,[status(thm)],[])).
% 51.06/33.69 tff(25772,plain,
% 51.06/33.69 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p0, s7)) | m_processor_v_REPLY_h_STALL(c_p0, s7) | node61(c_p0, s7))),
% 51.06/33.69 inference(quant_inst,[status(thm)],[])).
% 51.06/33.69 tff(25773,plain,
% 51.06/33.69 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p0, s7)) | m_processor_v_REPLY_h_STALL(c_p0, s7) | node61(c_p0, s7)),
% 51.06/33.69 inference(modus_ponens,[status(thm)],[25772, 25771])).
% 51.06/33.69 tff(25774,plain,
% 51.06/33.69 ($false),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25773, 1417, 25769, 25770, 15432])).
% 51.06/33.69 tff(25775,plain,((~m_processor_v_abort(c_p0, s7)) | node61(c_p0, s7) | m_processor_v_REPLY_h_STALL(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.69 tff(25776,plain,
% 51.06/33.69 (node61(c_p0, s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25775, 25769, 25768])).
% 51.06/33.69 tff(25777,plain,
% 51.06/33.69 (~m_processor_v_REPLY_h_WAITING(c_p1, s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[24196, 24188, 24187])).
% 51.06/33.69 tff(25778,plain,
% 51.06/33.69 (~m_main_v_REPLY_h_WAITING(s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[24185, 25777])).
% 51.06/33.69 tff(25779,plain,
% 51.06/33.69 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | (m_main_v_REPLY_h_WAITING(s7) | (~m_processor_v_REPLY_h_WAITING(c_p0, s7)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | m_main_v_REPLY_h_WAITING(s7) | (~m_processor_v_REPLY_h_WAITING(c_p0, s7)))),
% 51.06/33.69 inference(rewrite,[status(thm)],[])).
% 51.06/33.69 tff(25780,plain,
% 51.06/33.69 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | (m_main_v_REPLY_h_WAITING(s7) | (~m_processor_v_REPLY_h_WAITING(c_p0, s7)))),
% 51.06/33.69 inference(quant_inst,[status(thm)],[])).
% 51.06/33.69 tff(25781,plain,
% 51.06/33.69 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | m_main_v_REPLY_h_WAITING(s7) | (~m_processor_v_REPLY_h_WAITING(c_p0, s7))),
% 51.06/33.69 inference(modus_ponens,[status(thm)],[25780, 25779])).
% 51.06/33.69 tff(25782,plain,
% 51.06/33.69 (~m_processor_v_REPLY_h_WAITING(c_p0, s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25781, 1909, 25778])).
% 51.06/33.69 tff(25783,assumption,(node61(c_p0, s7)), introduced(assumption)).
% 51.06/33.69 tff(25784,plain,
% 51.06/33.69 (((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p0, s7) | (~node61(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p0, s7) | (~node61(c_p0, s7)))),
% 51.06/33.69 inference(rewrite,[status(thm)],[])).
% 51.06/33.69 tff(25785,plain,
% 51.06/33.69 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p0, s7) | (~node61(c_p0, s7)))),
% 51.06/33.69 inference(quant_inst,[status(thm)],[])).
% 51.06/33.69 tff(25786,plain,
% 51.06/33.69 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p0, s7) | (~node61(c_p0, s7))),
% 51.06/33.69 inference(modus_ponens,[status(thm)],[25785, 25784])).
% 51.06/33.69 tff(25787,plain,
% 51.06/33.69 ($false),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25786, 1891, 25783, 23483])).
% 51.06/33.69 tff(25788,plain,((~node61(c_p0, s7)) | m_processor_v_REPLY_h_WAITING(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.69 tff(25789,plain,
% 51.06/33.69 (~node61(c_p0, s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25788, 25782])).
% 51.06/33.69 tff(25790,plain,
% 51.06/33.69 (m_processor_v_REPLY_h_STALL(c_p0, s7) | node61(c_p0, s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25773, 1417, 25769])).
% 51.06/33.69 tff(25791,plain,
% 51.06/33.69 (m_processor_v_REPLY_h_STALL(c_p0, s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25790, 25789])).
% 51.06/33.69 tff(25792,plain,
% 51.06/33.69 (m_main_v_REPLY_h_STALL(s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25765, 1729, 25791])).
% 51.06/33.69 tff(25793,plain,
% 51.06/33.69 (m_processor_v_REPLY_h_STALL(c_p1, s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25761, 25792])).
% 51.06/33.69 tff(25794,plain,
% 51.06/33.69 ($false),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25753, 1363, 24188, 25793])).
% 51.06/33.69 tff(25795,plain,((~node60(c_p1, s7)) | (~m_processor_v_abort(c_p0, s7)) | node59(c_p1, s7)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.69 tff(25796,plain,
% 51.06/33.69 (node59(c_p1, s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25795, 25769, 24188])).
% 51.06/33.69 tff(25797,plain,
% 51.06/33.69 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s7, c_read_h_shared)) | (~node59(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)) | (~node59(c_p1, s7)))),
% 51.06/33.69 inference(rewrite,[status(thm)],[])).
% 51.06/33.69 tff(25798,plain,
% 51.06/33.69 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p1, s7, c_read_h_shared)) | (~node59(c_p1, s7)))),
% 51.06/33.69 inference(quant_inst,[status(thm)],[])).
% 51.06/33.69 tff(25799,plain,
% 51.06/33.69 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)) | (~node59(c_p1, s7))),
% 51.06/33.69 inference(modus_ponens,[status(thm)],[25798, 25797])).
% 51.06/33.69 tff(25800,plain,
% 51.06/33.69 ($false),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25799, 3834, 23997, 24198])).
% 51.06/33.69 tff(25801,plain,((~node59(c_p1, s7)) | (~m_processor_v_CMD(c_p1, s7, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.69 tff(25802,plain,
% 51.06/33.69 (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25801, 25796])).
% 51.06/33.69 tff(25803,plain,
% 51.06/33.69 (~m_main_v_CMD(s7, c_read_h_shared)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[13186, 25802])).
% 51.06/33.69 tff(25804,plain,
% 51.06/33.69 (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[16214, 25803])).
% 51.06/33.69 tff(25805,plain,
% 51.06/33.69 (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[24203, 25796])).
% 51.06/33.69 tff(25806,plain,
% 51.06/33.69 (~m_main_v_CMD(s7, c_read_h_owned)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[13385, 25805])).
% 51.06/33.69 tff(25807,plain,
% 51.06/33.69 (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[15171, 25806])).
% 51.06/33.69 tff(25808,plain,
% 51.06/33.69 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | (~node61(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | (~node61(c_p0, s7)))),
% 51.06/33.69 inference(rewrite,[status(thm)],[])).
% 51.06/33.69 tff(25809,plain,
% 51.06/33.69 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | (~node61(c_p0, s7)))),
% 51.06/33.69 inference(quant_inst,[status(thm)],[])).
% 51.06/33.69 tff(25810,plain,
% 51.06/33.69 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | (~node61(c_p0, s7))),
% 51.06/33.69 inference(modus_ponens,[status(thm)],[25809, 25808])).
% 51.06/33.69 tff(25811,plain,
% 51.06/33.69 ($false),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25810, 2268, 14672, 14568, 25783])).
% 51.06/33.69 tff(25812,plain,((~node61(c_p0, s7)) | m_processor_v_CMD(c_p0, s7, c_read_h_owned) | m_processor_v_CMD(c_p0, s7, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.69 tff(25813,plain,
% 51.06/33.69 ($false),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25812, 25807, 25804, 25776])).
% 51.06/33.69 tff(25814,plain,((~m_processor_v_abort(c_p0, s7)) | (~node60(c_p1, s7))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.69 tff(25815,plain,
% 51.06/33.69 (~m_processor_v_abort(c_p0, s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25814, 25750])).
% 51.06/33.69 tff(25816,plain,
% 51.06/33.69 (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[14566, 25815, 25736, 19104])).
% 51.06/33.69 tff(25817,plain,
% 51.06/33.69 (~m_processor_v_master(c_p1, s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[13229, 794, 25736])).
% 51.06/33.69 tff(25818,plain,
% 51.06/33.69 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p1, s7)) | m_processor_v_master(c_p1, s7) | m_processor_v_reply_h_waiting(c_p1, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s7)) | m_processor_v_master(c_p1, s7) | m_processor_v_reply_h_waiting(c_p1, s7))),
% 51.06/33.69 inference(rewrite,[status(thm)],[])).
% 51.06/33.69 tff(25819,plain,
% 51.06/33.69 ((m_processor_v_master(c_p1, s7) | (~m_processor_v_waiting(c_p1, s7)) | m_processor_v_reply_h_waiting(c_p1, s7)) <=> ((~m_processor_v_waiting(c_p1, s7)) | m_processor_v_master(c_p1, s7) | m_processor_v_reply_h_waiting(c_p1, s7))),
% 51.06/33.69 inference(rewrite,[status(thm)],[])).
% 51.06/33.69 tff(25820,plain,
% 51.06/33.69 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s7) | (~m_processor_v_waiting(c_p1, s7)) | m_processor_v_reply_h_waiting(c_p1, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p1, s7)) | m_processor_v_master(c_p1, s7) | m_processor_v_reply_h_waiting(c_p1, s7)))),
% 51.06/33.69 inference(monotonicity,[status(thm)],[25819])).
% 51.06/33.69 tff(25821,plain,
% 51.06/33.69 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s7) | (~m_processor_v_waiting(c_p1, s7)) | m_processor_v_reply_h_waiting(c_p1, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s7)) | m_processor_v_master(c_p1, s7) | m_processor_v_reply_h_waiting(c_p1, s7))),
% 51.06/33.69 inference(transitivity,[status(thm)],[25820, 25818])).
% 51.06/33.69 tff(25822,plain,
% 51.06/33.69 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s7) | (~m_processor_v_waiting(c_p1, s7)) | m_processor_v_reply_h_waiting(c_p1, s7))),
% 51.06/33.69 inference(quant_inst,[status(thm)],[])).
% 51.06/33.69 tff(25823,plain,
% 51.06/33.69 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s7)) | m_processor_v_master(c_p1, s7) | m_processor_v_reply_h_waiting(c_p1, s7)),
% 51.06/33.69 inference(modus_ponens,[status(thm)],[25822, 25821])).
% 51.06/33.69 tff(25824,plain,
% 51.06/33.69 ((~m_processor_v_waiting(c_p1, s7)) | m_processor_v_reply_h_waiting(c_p1, s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25823, 2296, 25817])).
% 51.06/33.69 tff(25825,plain,
% 51.06/33.69 (m_processor_v_reply_h_waiting(c_p1, s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25824, 25744])).
% 51.06/33.69 tff(25826,assumption,(m_processor_v_reply_h_waiting(c_p1, s7)), introduced(assumption)).
% 51.06/33.69 tff(25827,plain,
% 51.06/33.69 (((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | ((~node6(s7)) | (~m_processor_v_reply_h_waiting(c_p1, s7)))) <=> ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | (~node6(s7)) | (~m_processor_v_reply_h_waiting(c_p1, s7)))),
% 51.06/33.69 inference(rewrite,[status(thm)],[])).
% 51.06/33.69 tff(25828,plain,
% 51.06/33.69 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | ((~node6(s7)) | (~m_processor_v_reply_h_waiting(c_p1, s7)))),
% 51.06/33.69 inference(quant_inst,[status(thm)],[])).
% 51.06/33.69 tff(25829,plain,
% 51.06/33.69 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | (~node6(s7)) | (~m_processor_v_reply_h_waiting(c_p1, s7))),
% 51.06/33.69 inference(modus_ponens,[status(thm)],[25828, 25827])).
% 51.06/33.69 tff(25830,plain,
% 51.06/33.69 ($false),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25829, 8551, 23467, 25826])).
% 51.06/33.69 tff(25831,plain,((~m_processor_v_reply_h_waiting(c_p1, s7)) | (~node6(s7))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.69 tff(25832,plain,
% 51.06/33.69 (~node6(s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25831, 25825])).
% 51.06/33.69 tff(25833,plain,
% 51.06/33.69 (m_main_v_REPLY_h_WAITING(s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[23481, 25832])).
% 51.06/33.69 tff(25834,plain,
% 51.06/33.69 (m_processor_v_REPLY_h_WAITING(c_p0, s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[23489, 25833])).
% 51.06/33.69 tff(25835,plain,
% 51.06/33.69 (m_processor_v_state(c_p0, s8, c_owned)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[14413, 19103])).
% 51.06/33.69 tff(25836,plain,
% 51.06/33.69 (~m_processor_v_state(c_p0, s8, c_invalid)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[14429, 25835])).
% 51.06/33.69 tff(25837,plain,
% 51.06/33.69 (node59(c_p0, s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[23500, 24356, 23492])).
% 51.06/33.69 tff(25838,assumption,(m_processor_v_CMD(c_p0, s7, c_write_h_invalid)), introduced(assumption)).
% 51.06/33.69 tff(25839,plain,
% 51.06/33.69 (m_processor_v_CMD(c_p0, s7, c_read_h_owned)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[15245, 512, 14438, 15318, 25838, 14568])).
% 51.06/33.69 tff(25840,plain,
% 51.06/33.69 ($false),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[23585, 707, 25839, 25837])).
% 51.06/33.69 tff(25841,plain,(m_processor_v_abort(c_p0, s7) | m_processor_v_state(c_p0, s8, c_invalid) | (~m_processor_v_CMD(c_p0, s7, c_write_h_invalid)) | m_processor_v_CMD(c_p0, s7, c_read_h_shared) | (~m_processor_v_REPLY_h_WAITING(c_p0, s7)) | (~m_processor_v_master(c_p0, s7))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.69 tff(25842,plain,
% 51.06/33.69 (~m_processor_v_CMD(c_p0, s7, c_write_h_invalid)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25841, 25816, 25736, 25836, 25834, 25815])).
% 51.06/33.69 tff(25843,plain,
% 51.06/33.69 (~node47(c_p0, s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[24319, 25815, 19104])).
% 51.06/33.69 tff(25844,plain,
% 51.06/33.69 (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[14670, 25815, 25736, 19104, 25843])).
% 51.06/33.69 tff(25845,plain,
% 51.06/33.69 (node34(c_p0, s7, s8)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[15199, 25815, 25736])).
% 51.06/33.69 tff(25846,plain,
% 51.06/33.69 (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[15275, 438, 25836, 25845, 25844, 25842, 25816])).
% 51.06/33.69 tff(25847,plain,
% 51.06/33.69 (~m_processor_v_state(c_p0, s8, c_shared)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[14436, 121, 25835])).
% 51.06/33.69 tff(25848,plain,
% 51.06/33.69 (m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s7, c_write_h_shared))),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[15257, 456, 25847, 25845, 25844, 25842, 25816])).
% 51.06/33.69 tff(25849,plain,
% 51.06/33.69 (~m_processor_v_CMD(c_p0, s7, c_write_h_shared)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25848, 25846])).
% 51.06/33.69 tff(25850,plain,
% 51.06/33.69 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s7, c_write_h_shared) | (~m_main_v_CMD(s7, c_write_h_shared)) | (~node2(s7)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s7, c_write_h_shared) | (~m_main_v_CMD(s7, c_write_h_shared)) | (~node2(s7)))),
% 51.06/33.69 inference(rewrite,[status(thm)],[])).
% 51.06/33.69 tff(25851,plain,
% 51.06/33.69 (((~m_main_v_CMD(s7, c_write_h_shared)) | (~node2(s7)) | m_processor_v_CMD(c_p0, s7, c_write_h_shared)) <=> (m_processor_v_CMD(c_p0, s7, c_write_h_shared) | (~m_main_v_CMD(s7, c_write_h_shared)) | (~node2(s7)))),
% 51.06/33.69 inference(rewrite,[status(thm)],[])).
% 51.06/33.69 tff(25852,plain,
% 51.06/33.69 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_write_h_shared)) | (~node2(s7)) | m_processor_v_CMD(c_p0, s7, c_write_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s7, c_write_h_shared) | (~m_main_v_CMD(s7, c_write_h_shared)) | (~node2(s7))))),
% 51.06/33.69 inference(monotonicity,[status(thm)],[25851])).
% 51.06/33.69 tff(25853,plain,
% 51.06/33.69 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_write_h_shared)) | (~node2(s7)) | m_processor_v_CMD(c_p0, s7, c_write_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s7, c_write_h_shared) | (~m_main_v_CMD(s7, c_write_h_shared)) | (~node2(s7)))),
% 51.06/33.69 inference(transitivity,[status(thm)],[25852, 25850])).
% 51.06/33.69 tff(25854,plain,
% 51.06/33.69 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_write_h_shared)) | (~node2(s7)) | m_processor_v_CMD(c_p0, s7, c_write_h_shared))),
% 51.06/33.69 inference(quant_inst,[status(thm)],[])).
% 51.06/33.69 tff(25855,plain,
% 51.06/33.69 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s7, c_write_h_shared) | (~m_main_v_CMD(s7, c_write_h_shared)) | (~node2(s7))),
% 51.06/33.69 inference(modus_ponens,[status(thm)],[25854, 25853])).
% 51.06/33.69 tff(25856,plain,
% 51.06/33.69 (~m_main_v_CMD(s7, c_write_h_shared)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25855, 1228, 14572, 25849])).
% 51.06/33.69 tff(25857,plain,
% 51.06/33.69 (m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared))),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[15288, 492, 25847, 25845, 25844, 25842, 25816])).
% 51.06/33.69 tff(25858,plain,
% 51.06/33.69 (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25857, 25849, 25846])).
% 51.06/33.69 tff(25859,plain,
% 51.06/33.69 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared)) | (~node2(s7)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared)) | (~node2(s7)))),
% 51.06/33.69 inference(rewrite,[status(thm)],[])).
% 51.06/33.69 tff(25860,plain,
% 51.06/33.69 (((~m_main_v_CMD(s7, c_write_h_resp_h_shared)) | (~node2(s7)) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared)) | (~node2(s7)))),
% 51.06/33.69 inference(rewrite,[status(thm)],[])).
% 51.06/33.69 tff(25861,plain,
% 51.06/33.69 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_write_h_resp_h_shared)) | (~node2(s7)) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared)) | (~node2(s7))))),
% 51.06/33.69 inference(monotonicity,[status(thm)],[25860])).
% 51.06/33.69 tff(25862,plain,
% 51.06/33.69 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_write_h_resp_h_shared)) | (~node2(s7)) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared)) | (~node2(s7)))),
% 51.06/33.69 inference(transitivity,[status(thm)],[25861, 25859])).
% 51.06/33.69 tff(25863,plain,
% 51.06/33.69 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_write_h_resp_h_shared)) | (~node2(s7)) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared))),
% 51.06/33.69 inference(quant_inst,[status(thm)],[])).
% 51.06/33.69 tff(25864,plain,
% 51.06/33.69 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared)) | (~node2(s7))),
% 51.06/33.69 inference(modus_ponens,[status(thm)],[25863, 25862])).
% 51.06/33.69 tff(25865,plain,
% 51.06/33.69 ($false),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25864, 1228, 14572, 24094, 15248])).
% 51.06/33.69 tff(25866,plain,(m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared) | (~m_main_v_CMD(s7, c_write_h_resp_h_shared))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.69 tff(25867,plain,
% 51.06/33.69 (~m_main_v_CMD(s7, c_write_h_resp_h_shared)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25866, 25858])).
% 51.06/33.69 tff(25868,plain,
% 51.06/33.69 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | (~node2(s7)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | (~node2(s7)))),
% 51.06/33.69 inference(rewrite,[status(thm)],[])).
% 51.06/33.69 tff(25869,plain,
% 51.06/33.69 (((~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | (~node2(s7)) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid)) <=> (m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | (~node2(s7)))),
% 51.06/33.69 inference(rewrite,[status(thm)],[])).
% 51.06/33.69 tff(25870,plain,
% 51.06/33.69 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | (~node2(s7)) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | (~node2(s7))))),
% 51.06/33.69 inference(monotonicity,[status(thm)],[25869])).
% 51.06/33.69 tff(25871,plain,
% 51.06/33.69 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | (~node2(s7)) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | (~node2(s7)))),
% 51.06/33.69 inference(transitivity,[status(thm)],[25870, 25868])).
% 51.06/33.69 tff(25872,plain,
% 51.06/33.69 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | (~node2(s7)) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid))),
% 51.06/33.69 inference(quant_inst,[status(thm)],[])).
% 51.06/33.69 tff(25873,plain,
% 51.06/33.69 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | (~node2(s7))),
% 51.06/33.69 inference(modus_ponens,[status(thm)],[25872, 25871])).
% 51.06/33.69 tff(25874,plain,
% 51.06/33.69 ($false),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25873, 1228, 14572, 15251, 23625])).
% 51.06/33.69 tff(25875,plain,((~m_main_v_CMD(s7, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.69 tff(25876,plain,
% 51.06/33.69 (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25875, 25846])).
% 51.06/33.69 tff(25877,plain,
% 51.06/33.69 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | (~m_main_v_CMD(s7, c_write_h_invalid)) | (~node2(s7)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | (~m_main_v_CMD(s7, c_write_h_invalid)) | (~node2(s7)))),
% 51.06/33.69 inference(rewrite,[status(thm)],[])).
% 51.06/33.69 tff(25878,plain,
% 51.06/33.69 (((~m_main_v_CMD(s7, c_write_h_invalid)) | (~node2(s7)) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid)) <=> (m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | (~m_main_v_CMD(s7, c_write_h_invalid)) | (~node2(s7)))),
% 51.06/33.69 inference(rewrite,[status(thm)],[])).
% 51.06/33.69 tff(25879,plain,
% 51.06/33.69 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_write_h_invalid)) | (~node2(s7)) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | (~m_main_v_CMD(s7, c_write_h_invalid)) | (~node2(s7))))),
% 51.06/33.69 inference(monotonicity,[status(thm)],[25878])).
% 51.06/33.69 tff(25880,plain,
% 51.06/33.69 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_write_h_invalid)) | (~node2(s7)) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | (~m_main_v_CMD(s7, c_write_h_invalid)) | (~node2(s7)))),
% 51.06/33.69 inference(transitivity,[status(thm)],[25879, 25877])).
% 51.06/33.69 tff(25881,plain,
% 51.06/33.69 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_write_h_invalid)) | (~node2(s7)) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid))),
% 51.06/33.69 inference(quant_inst,[status(thm)],[])).
% 51.06/33.69 tff(25882,plain,
% 51.06/33.69 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid) | (~m_main_v_CMD(s7, c_write_h_invalid)) | (~node2(s7))),
% 51.06/33.69 inference(modus_ponens,[status(thm)],[25881, 25880])).
% 51.06/33.69 tff(25883,plain,
% 51.06/33.69 ($false),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25882, 1228, 14572, 24145, 15249])).
% 51.06/33.69 tff(25884,plain,((~m_main_v_CMD(s7, c_write_h_invalid)) | m_processor_v_CMD(c_p0, s7, c_write_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.69 tff(25885,plain,
% 51.06/33.69 (~m_main_v_CMD(s7, c_write_h_invalid)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25884, 25842])).
% 51.06/33.69 tff(25886,plain,
% 51.06/33.69 (~m_main_v_CMD(s7, c_read_h_owned)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[14680, 25844])).
% 51.06/33.69 tff(25887,plain,
% 51.06/33.69 (m_processor_v_CMD(c_p1, s7, c_read_h_shared)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[13186, 13174])).
% 51.06/33.69 tff(25888,plain,
% 51.06/33.69 (~node59(c_p1, s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25801, 25887])).
% 51.06/33.69 tff(25889,plain,
% 51.06/33.69 (m_processor_v_CMD(c_p0, s7, c_read_h_shared)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[14580, 13174])).
% 51.06/33.69 tff(25890,plain,
% 51.06/33.69 (m_processor_v_abort(c_p0, s7)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[14566, 25889, 14546, 14621])).
% 51.06/33.69 tff(25891,plain,
% 51.06/33.69 ($false),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25795, 25890, 25888, 24188])).
% 51.06/33.69 tff(25892,plain,((~m_main_v_CMD(s7, c_read_h_shared)) | (~node60(c_p1, s7)) | m_processor_v_waiting(c_p0, s8) | (~m_processor_v_master(c_p0, s7))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.69 tff(25893,plain,
% 51.06/33.69 (~m_main_v_CMD(s7, c_read_h_shared)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[25892, 25750, 25736, 19104])).
% 51.06/33.69 tff(25894,plain,
% 51.06/33.69 (~m_processor_v_master(c_p0, s6)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[16318, 25742])).
% 51.06/33.69 tff(25895,plain,
% 51.06/33.69 (~node36(c_p0, s6)),
% 51.06/33.69 inference(unit_resolution,[status(thm)],[2399, 167, 810])).
% 51.06/33.69 tff(25896,plain,
% 51.06/33.69 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_state(c_p0, s7, c_owned) | (~node32(c_p0, s6, s7)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_state(c_p0, s7, c_owned) | (~node32(c_p0, s6, s7)))),
% 51.06/33.69 inference(rewrite,[status(thm)],[])).
% 51.06/33.69 tff(25897,plain,
% 51.06/33.69 (((~node32(c_p0, s6, s7)) | (~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_state(c_p0, s7, c_owned)) <=> ((~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_state(c_p0, s7, c_owned) | (~node32(c_p0, s6, s7)))),
% 51.06/33.70 inference(rewrite,[status(thm)],[])).
% 51.06/33.70 tff(25898,plain,
% 51.06/33.70 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s6, s7)) | (~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_state(c_p0, s7, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_state(c_p0, s7, c_owned) | (~node32(c_p0, s6, s7))))),
% 51.06/33.70 inference(monotonicity,[status(thm)],[25897])).
% 51.06/33.70 tff(25899,plain,
% 51.06/33.70 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s6, s7)) | (~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_state(c_p0, s7, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_state(c_p0, s7, c_owned) | (~node32(c_p0, s6, s7)))),
% 51.06/33.70 inference(transitivity,[status(thm)],[25898, 25896])).
% 51.06/33.70 tff(25900,plain,
% 51.06/33.70 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s6, s7)) | (~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_state(c_p0, s7, c_owned))),
% 51.06/33.70 inference(quant_inst,[status(thm)],[])).
% 51.06/33.70 tff(25901,plain,
% 51.06/33.70 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_state(c_p0, s7, c_owned) | (~node32(c_p0, s6, s7))),
% 51.06/33.70 inference(modus_ponens,[status(thm)],[25900, 25899])).
% 51.06/33.70 tff(25902,plain,
% 51.06/33.70 ($false),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[25901, 380, 785, 3, 2327])).
% 51.06/33.70 tff(25903,plain,((~node32(c_p0, s6, s7)) | (~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_state(c_p0, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.70 tff(25904,plain,
% 51.06/33.70 (~node32(c_p0, s6, s7)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[25903, 3, 785])).
% 51.06/33.70 tff(25905,plain,
% 51.06/33.70 (~m_processor_v_abort(c_p0, s6)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[2356, 25904])).
% 51.06/33.70 tff(25906,plain,
% 51.06/33.70 (node37(c_p0, s6, s7)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[2424, 2318, 810, 25905, 25895])).
% 51.06/33.70 tff(25907,plain,
% 51.06/33.70 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_state(c_p0, s7, c_shared)) | (~node37(c_p0, s6, s7)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_state(c_p0, s7, c_shared)) | (~node37(c_p0, s6, s7)))),
% 51.06/33.70 inference(rewrite,[status(thm)],[])).
% 51.06/33.70 tff(25908,plain,
% 51.06/33.70 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_state(c_p0, s7, c_shared)) | (~node37(c_p0, s6, s7)))),
% 51.06/33.70 inference(quant_inst,[status(thm)],[])).
% 51.06/33.70 tff(25909,plain,
% 51.06/33.70 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s6, c_shared) | (~m_processor_v_state(c_p0, s7, c_shared)) | (~node37(c_p0, s6, s7))),
% 51.06/33.70 inference(modus_ponens,[status(thm)],[25908, 25907])).
% 51.06/33.70 tff(25910,plain,
% 51.06/33.70 (~node37(c_p0, s6, s7)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[25909, 182, 810, 14423])).
% 51.06/33.70 tff(25911,plain,
% 51.06/33.70 (m_processor_v_abort(c_p0, s6)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[2424, 25910, 810, 2318, 25895])).
% 51.06/33.70 tff(25912,plain,
% 51.06/33.70 (~m_processor_v_state(c_p0, s7, c_owned)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[2324, 121, 14423])).
% 51.06/33.70 tff(25913,plain,
% 51.06/33.70 (~node32(c_p0, s6, s7)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[25903, 25912, 785])).
% 51.06/33.70 tff(25914,plain,
% 51.06/33.70 ($false),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[2356, 25913, 25911])).
% 51.06/33.70 tff(25915,plain,((~m_processor_v_state(c_p0, s7, c_shared)) | (~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_master(c_p0, s6)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.70 tff(25916,plain,
% 51.06/33.70 (~m_processor_v_state(c_p0, s7, c_shared)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[25915, 2318, 785])).
% 51.06/33.70 tff(25917,plain,
% 51.06/33.70 (m_processor_v_state(c_p0, s7, c_invalid)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[2473, 25916, 3])).
% 51.06/33.70 tff(25918,plain,
% 51.06/33.70 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s6, c_invalid) | (~m_processor_v_state(c_p0, s7, c_invalid)) | (~node37(c_p0, s6, s7)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s6, c_invalid) | (~m_processor_v_state(c_p0, s7, c_invalid)) | (~node37(c_p0, s6, s7)))),
% 51.06/33.70 inference(rewrite,[status(thm)],[])).
% 51.06/33.70 tff(25919,plain,
% 51.06/33.70 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p0, s6, c_invalid) | (~m_processor_v_state(c_p0, s7, c_invalid)) | (~node37(c_p0, s6, s7)))),
% 51.06/33.70 inference(quant_inst,[status(thm)],[])).
% 51.06/33.70 tff(25920,plain,
% 51.06/33.70 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p0, s6, c_invalid) | (~m_processor_v_state(c_p0, s7, c_invalid)) | (~node37(c_p0, s6, s7))),
% 51.06/33.70 inference(modus_ponens,[status(thm)],[25919, 25918])).
% 51.06/33.70 tff(25921,plain,
% 51.06/33.70 ($false),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[25920, 182, 812, 2401, 14503])).
% 51.06/33.70 tff(25922,plain,((~m_processor_v_state(c_p0, s7, c_invalid)) | m_processor_v_state(c_p0, s6, c_invalid) | (~node37(c_p0, s6, s7))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.70 tff(25923,plain,
% 51.06/33.70 ($false),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[25922, 25917, 25906, 18194])).
% 51.06/33.70 tff(25924,plain,(m_processor_v_master(c_p0, s6) | m_processor_v_state(c_p0, s7, c_owned) | (~m_processor_v_state(c_p0, s6, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.70 tff(25925,plain,
% 51.06/33.70 (m_processor_v_state(c_p0, s7, c_owned)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[25924, 25894, 18161])).
% 51.06/33.70 tff(25926,plain,
% 51.06/33.70 (~m_processor_v_state(c_p0, s7, c_shared)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[25915, 25894, 18161])).
% 51.06/33.70 tff(25927,plain,
% 51.06/33.70 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p0, s7, c_shared) | (~node63(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p0, s7, c_shared) | (~node63(c_p0, s7)))),
% 51.06/33.70 inference(rewrite,[status(thm)],[])).
% 51.06/33.70 tff(25928,plain,
% 51.06/33.70 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | (m_processor_v_state(c_p0, s7, c_shared) | (~node63(c_p0, s7)))),
% 51.06/33.70 inference(quant_inst,[status(thm)],[])).
% 51.06/33.70 tff(25929,plain,
% 51.06/33.70 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node63(I0, X)))) | m_processor_v_state(c_p0, s7, c_shared) | (~node63(c_p0, s7))),
% 51.06/33.70 inference(modus_ponens,[status(thm)],[25928, 25927])).
% 51.06/33.70 tff(25930,plain,
% 51.06/33.70 (~node63(c_p0, s7)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[25929, 1809, 25926])).
% 51.06/33.70 tff(25931,plain,
% 51.06/33.70 (~m_processor_v_state(c_p0, s6, c_invalid)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[1035, 137, 18161])).
% 51.06/33.70 tff(25932,plain,
% 51.06/33.70 (~m_processor_v_state(c_p0, s6, c_shared)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[809, 18161])).
% 51.06/33.70 tff(25933,plain,
% 51.06/33.70 (~node36(c_p0, s6)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[2399, 167, 25932])).
% 51.06/33.70 tff(25934,plain,
% 51.06/33.70 (~node32(c_p1, s6, s7)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[13447, 25743, 13439])).
% 51.06/33.70 tff(25935,plain,
% 51.06/33.70 (~m_processor_v_abort(c_p1, s6)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[13472, 25934])).
% 51.06/33.70 tff(25936,plain,
% 51.06/33.70 (node60(c_p1, s6)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[18324, 25935])).
% 51.06/33.70 tff(25937,plain,
% 51.06/33.70 (m_main_v_CMD(s6, c_read_h_owned)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[25526, 25743, 13439, 25740, 25742])).
% 51.06/33.70 tff(25938,plain,
% 51.06/33.70 (m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[16254, 25937])).
% 51.06/33.70 tff(25939,plain,
% 51.06/33.70 (~node59(c_p1, s6)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[18342, 25938])).
% 51.06/33.70 tff(25940,plain,
% 51.06/33.70 (~m_processor_v_REPLY_h_WAITING(c_p1, s6)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[18335, 18327, 18326])).
% 51.06/33.70 tff(25941,plain,
% 51.06/33.70 (~m_main_v_REPLY_h_WAITING(s6)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[18192, 25940])).
% 51.06/33.70 tff(25942,plain,
% 51.06/33.70 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | (m_main_v_REPLY_h_WAITING(s6) | (~m_processor_v_REPLY_h_WAITING(c_p0, s6)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | m_main_v_REPLY_h_WAITING(s6) | (~m_processor_v_REPLY_h_WAITING(c_p0, s6)))),
% 51.06/33.70 inference(rewrite,[status(thm)],[])).
% 51.06/33.70 tff(25943,plain,
% 51.06/33.70 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | (m_main_v_REPLY_h_WAITING(s6) | (~m_processor_v_REPLY_h_WAITING(c_p0, s6)))),
% 51.06/33.70 inference(quant_inst,[status(thm)],[])).
% 51.06/33.70 tff(25944,plain,
% 51.06/33.70 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p0, X)))) | m_main_v_REPLY_h_WAITING(s6) | (~m_processor_v_REPLY_h_WAITING(c_p0, s6))),
% 51.06/33.70 inference(modus_ponens,[status(thm)],[25943, 25942])).
% 51.06/33.70 tff(25945,plain,
% 51.06/33.70 ($false),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[25944, 1909, 14179, 14194])).
% 51.06/33.70 tff(25946,plain,(m_main_v_REPLY_h_WAITING(s6) | (~m_processor_v_REPLY_h_WAITING(c_p0, s6))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.70 tff(25947,plain,
% 51.06/33.70 (~m_processor_v_REPLY_h_WAITING(c_p0, s6)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[25946, 25941])).
% 51.06/33.70 tff(25948,plain,
% 51.06/33.70 (node61(c_p0, s6)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[18403, 25121, 18398])).
% 51.06/33.70 tff(25949,plain,
% 51.06/33.70 (((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p0, s6) | (~node61(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p0, s6) | (~node61(c_p0, s6)))),
% 51.06/33.70 inference(rewrite,[status(thm)],[])).
% 51.06/33.70 tff(25950,plain,
% 51.06/33.70 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p0, s6) | (~node61(c_p0, s6)))),
% 51.06/33.70 inference(quant_inst,[status(thm)],[])).
% 51.06/33.70 tff(25951,plain,
% 51.06/33.70 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p0, s6) | (~node61(c_p0, s6))),
% 51.06/33.70 inference(modus_ponens,[status(thm)],[25950, 25949])).
% 51.06/33.70 tff(25952,plain,
% 51.06/33.70 ($false),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[25951, 1891, 14187, 18387])).
% 51.06/33.70 tff(25953,plain,((~node61(c_p0, s6)) | m_processor_v_REPLY_h_WAITING(c_p0, s6)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.70 tff(25954,plain,
% 51.06/33.70 ($false),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[25953, 25948, 25947])).
% 51.06/33.70 tff(25955,plain,((~node60(c_p1, s6)) | (~m_processor_v_abort(c_p0, s6)) | node59(c_p1, s6)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.70 tff(25956,plain,
% 51.06/33.70 (~m_processor_v_abort(c_p0, s6)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[25955, 25939, 25936])).
% 51.06/33.70 tff(25957,plain,
% 51.06/33.70 (node37(c_p0, s6, s7)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[2424, 25956, 25894, 25932, 25933])).
% 51.06/33.70 tff(25958,plain,
% 51.06/33.70 (~m_processor_v_state(c_p0, s7, c_invalid)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[25922, 25957, 25931])).
% 51.06/33.70 tff(25959,plain,
% 51.06/33.70 (~node62(c_p0, s7)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[14713, 1633, 25958])).
% 51.06/33.70 tff(25960,plain,
% 51.06/33.70 (m_processor_v_cmd(c_p1, s7, c_idle)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[14619, 25817])).
% 51.06/33.70 tff(25961,plain,
% 51.06/33.70 (node8(s7)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[14647, 25960, 25736])).
% 51.06/33.70 tff(25962,plain,
% 51.06/33.70 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid)) | m_main_v_CMD(s7, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid)) | m_main_v_CMD(s7, c_write_h_resp_h_invalid))),
% 51.06/33.70 inference(rewrite,[status(thm)],[])).
% 51.06/33.70 tff(25963,plain,
% 51.06/33.70 ((m_main_v_CMD(s7, c_write_h_resp_h_invalid) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid))) <=> ((~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid)) | m_main_v_CMD(s7, c_write_h_resp_h_invalid))),
% 51.06/33.70 inference(rewrite,[status(thm)],[])).
% 51.06/33.70 tff(25964,plain,
% 51.06/33.70 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s7, c_write_h_resp_h_invalid) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid)) | m_main_v_CMD(s7, c_write_h_resp_h_invalid)))),
% 51.06/33.70 inference(monotonicity,[status(thm)],[25963])).
% 51.06/33.70 tff(25965,plain,
% 51.06/33.70 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s7, c_write_h_resp_h_invalid) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid)) | m_main_v_CMD(s7, c_write_h_resp_h_invalid))),
% 51.06/33.70 inference(transitivity,[status(thm)],[25964, 25962])).
% 51.06/33.70 tff(25966,plain,
% 51.06/33.70 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s7, c_write_h_resp_h_invalid) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid)))),
% 51.06/33.70 inference(quant_inst,[status(thm)],[])).
% 51.06/33.70 tff(25967,plain,
% 51.06/33.70 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid)) | m_main_v_CMD(s7, c_write_h_resp_h_invalid)),
% 51.06/33.70 inference(modus_ponens,[status(thm)],[25966, 25965])).
% 51.06/33.70 tff(25968,plain,
% 51.06/33.70 (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[25967, 1669, 25876, 25961])).
% 51.06/33.70 tff(25969,plain,
% 51.06/33.70 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node63(c_p0, s7) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s7, c_owned)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node63(c_p0, s7) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s7, c_owned)))),
% 51.06/33.70 inference(rewrite,[status(thm)],[])).
% 51.06/33.70 tff(25970,plain,
% 51.06/33.70 ((m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s7, c_owned)) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node63(c_p0, s7)) <=> ((~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node63(c_p0, s7) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s7, c_owned)))),
% 51.06/33.70 inference(rewrite,[status(thm)],[])).
% 51.06/33.70 tff(25971,plain,
% 51.06/33.70 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s7, c_owned)) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node63(c_p0, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | ((~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node63(c_p0, s7) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s7, c_owned))))),
% 51.06/33.70 inference(monotonicity,[status(thm)],[25970])).
% 51.06/33.70 tff(25972,plain,
% 51.06/33.70 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s7, c_owned)) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node63(c_p0, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node63(c_p0, s7) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s7, c_owned)))),
% 51.06/33.70 inference(transitivity,[status(thm)],[25971, 25969])).
% 51.06/33.70 tff(25973,plain,
% 51.06/33.70 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s7, c_owned)) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node63(c_p0, s7))),
% 51.06/33.70 inference(quant_inst,[status(thm)],[])).
% 51.06/33.70 tff(25974,plain,
% 51.06/33.70 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(I0, X, c_owned)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X))) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node63(c_p0, s7) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s7, c_owned))),
% 51.06/33.70 inference(modus_ponens,[status(thm)],[25973, 25972])).
% 51.06/33.70 tff(25975,plain,
% 51.06/33.70 (node62(c_p0, s7) | node63(c_p0, s7) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s7, c_owned))),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[25974, 7172, 25736, 25925])).
% 51.06/33.70 tff(25976,plain,
% 51.06/33.70 (~m_processor_v_snoop(c_p0, s7, c_owned)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[25975, 25968, 25959, 25930])).
% 51.06/33.70 tff(25977,plain,
% 51.06/33.70 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_invalid)) | m_main_v_CMD(s7, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_invalid)) | m_main_v_CMD(s7, c_write_h_invalid))),
% 51.06/33.70 inference(rewrite,[status(thm)],[])).
% 51.06/33.70 tff(25978,plain,
% 51.06/33.70 ((m_main_v_CMD(s7, c_write_h_invalid) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_invalid))) <=> ((~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_invalid)) | m_main_v_CMD(s7, c_write_h_invalid))),
% 51.06/33.70 inference(rewrite,[status(thm)],[])).
% 51.06/33.70 tff(25979,plain,
% 51.06/33.70 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s7, c_write_h_invalid) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_invalid)) | m_main_v_CMD(s7, c_write_h_invalid)))),
% 51.06/33.70 inference(monotonicity,[status(thm)],[25978])).
% 51.06/33.70 tff(25980,plain,
% 51.06/33.70 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s7, c_write_h_invalid) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_invalid)) | m_main_v_CMD(s7, c_write_h_invalid))),
% 51.06/33.70 inference(transitivity,[status(thm)],[25979, 25977])).
% 51.06/33.70 tff(25981,plain,
% 51.06/33.70 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s7, c_write_h_invalid) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_invalid)))),
% 51.06/33.70 inference(quant_inst,[status(thm)],[])).
% 51.06/33.70 tff(25982,plain,
% 51.06/33.70 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_invalid)) | m_main_v_CMD(s7, c_write_h_invalid)),
% 51.06/33.70 inference(modus_ponens,[status(thm)],[25981, 25980])).
% 51.06/33.70 tff(25983,plain,
% 51.06/33.70 (~m_processor_v_cmd(c_p0, s7, c_write_h_invalid)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[25982, 1669, 25885, 25961])).
% 51.06/33.70 tff(25984,assumption,(~node63(c_p0, s7)), introduced(assumption)).
% 51.06/33.70 tff(25985,assumption,(~m_processor_v_snoop(c_p0, s7, c_owned)), introduced(assumption)).
% 51.06/33.70 tff(25986,assumption,(node64(c_p0, s7)), introduced(assumption)).
% 51.06/33.70 tff(25987,plain,
% 51.06/33.70 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p0, s7, c_owned) | (~node64(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p0, s7, c_owned) | (~node64(c_p0, s7)))),
% 51.06/33.70 inference(rewrite,[status(thm)],[])).
% 51.06/33.70 tff(25988,plain,
% 51.06/33.70 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | (m_processor_v_snoop(c_p0, s7, c_owned) | (~node64(c_p0, s7)))),
% 51.06/33.70 inference(quant_inst,[status(thm)],[])).
% 51.06/33.70 tff(25989,plain,
% 51.06/33.70 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_owned) | (~node64(I0, X)))) | m_processor_v_snoop(c_p0, s7, c_owned) | (~node64(c_p0, s7))),
% 51.06/33.70 inference(modus_ponens,[status(thm)],[25988, 25987])).
% 51.06/33.70 tff(25990,plain,
% 51.06/33.70 ($false),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[25989, 4082, 25985, 25986])).
% 51.06/33.70 tff(25991,plain,((~node64(c_p0, s7)) | m_processor_v_snoop(c_p0, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.70 tff(25992,plain,
% 51.06/33.70 (~node64(c_p0, s7)),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[25991, 25985])).
% 51.06/33.70 tff(25993,assumption,(~node62(c_p0, s7)), introduced(assumption)).
% 51.06/33.70 tff(25994,assumption,(~m_processor_v_cmd(c_p0, s7, c_write_h_invalid)), introduced(assumption)).
% 51.06/33.70 tff(25995,plain,
% 51.06/33.70 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node64(c_p0, s7) | node63(c_p0, s7) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s7, c_shared)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node64(c_p0, s7) | node63(c_p0, s7) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s7, c_shared)))),
% 51.06/33.70 inference(rewrite,[status(thm)],[])).
% 51.06/33.70 tff(25996,plain,
% 51.06/33.70 ((m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s7, c_shared)) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node63(c_p0, s7) | node64(c_p0, s7)) <=> ((~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node64(c_p0, s7) | node63(c_p0, s7) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s7, c_shared)))),
% 51.06/33.70 inference(rewrite,[status(thm)],[])).
% 51.06/33.70 tff(25997,plain,
% 51.06/33.70 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s7, c_shared)) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node63(c_p0, s7) | node64(c_p0, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | ((~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node64(c_p0, s7) | node63(c_p0, s7) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s7, c_shared))))),
% 51.06/33.70 inference(monotonicity,[status(thm)],[25996])).
% 51.06/33.70 tff(25998,plain,
% 51.06/33.70 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s7, c_shared)) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node63(c_p0, s7) | node64(c_p0, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node64(c_p0, s7) | node63(c_p0, s7) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s7, c_shared)))),
% 51.06/33.70 inference(transitivity,[status(thm)],[25997, 25995])).
% 51.06/33.70 tff(25999,plain,
% 51.06/33.70 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s7, c_shared)) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node63(c_p0, s7) | node64(c_p0, s7))),
% 51.06/33.70 inference(quant_inst,[status(thm)],[])).
% 51.06/33.70 tff(26000,plain,
% 51.06/33.70 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_resp_h_shared) | (~m_processor_v_snoop(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X))) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node64(c_p0, s7) | node63(c_p0, s7) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s7, c_shared))),
% 51.06/33.70 inference(modus_ponens,[status(thm)],[25999, 25998])).
% 51.06/33.70 tff(26001,plain,
% 51.06/33.70 (node62(c_p0, s7) | node64(c_p0, s7) | node63(c_p0, s7) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s7, c_shared))),
% 51.06/33.70 inference(unit_resolution,[status(thm)],[26000, 7256, 14621, 2313])).
% 51.06/33.71 tff(26002,plain,
% 51.06/33.71 (~m_processor_v_snoop(c_p0, s7, c_shared)),
% 51.06/33.71 inference(unit_resolution,[status(thm)],[26001, 25992, 25984, 25993, 23823])).
% 51.06/33.71 tff(26003,plain,
% 51.06/33.71 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s7, c_invalid) | m_processor_v_snoop(c_p0, s7, c_shared) | m_processor_v_snoop(c_p0, s7, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p0, s7, c_invalid) | m_processor_v_snoop(c_p0, s7, c_shared) | m_processor_v_snoop(c_p0, s7, c_owned))),
% 51.06/33.71 inference(rewrite,[status(thm)],[])).
% 51.06/33.71 tff(26004,plain,
% 51.06/33.71 ((m_processor_v_snoop(c_p0, s7, c_shared) | m_processor_v_snoop(c_p0, s7, c_owned) | m_processor_v_snoop(c_p0, s7, c_invalid)) <=> (m_processor_v_snoop(c_p0, s7, c_invalid) | m_processor_v_snoop(c_p0, s7, c_shared) | m_processor_v_snoop(c_p0, s7, c_owned))),
% 51.06/33.71 inference(rewrite,[status(thm)],[])).
% 51.06/33.71 tff(26005,plain,
% 51.06/33.71 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s7, c_shared) | m_processor_v_snoop(c_p0, s7, c_owned) | m_processor_v_snoop(c_p0, s7, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s7, c_invalid) | m_processor_v_snoop(c_p0, s7, c_shared) | m_processor_v_snoop(c_p0, s7, c_owned)))),
% 51.06/33.71 inference(monotonicity,[status(thm)],[26004])).
% 51.06/33.71 tff(26006,plain,
% 51.06/33.71 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s7, c_shared) | m_processor_v_snoop(c_p0, s7, c_owned) | m_processor_v_snoop(c_p0, s7, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p0, s7, c_invalid) | m_processor_v_snoop(c_p0, s7, c_shared) | m_processor_v_snoop(c_p0, s7, c_owned))),
% 51.06/33.71 inference(transitivity,[status(thm)],[26005, 26003])).
% 51.06/33.71 tff(26007,plain,
% 51.06/33.71 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | (m_processor_v_snoop(c_p0, s7, c_shared) | m_processor_v_snoop(c_p0, s7, c_owned) | m_processor_v_snoop(c_p0, s7, c_invalid))),
% 51.06/33.71 inference(quant_inst,[status(thm)],[])).
% 51.06/33.71 tff(26008,plain,
% 51.06/33.71 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | m_processor_v_snoop(I0, X, c_owned) | m_processor_v_snoop(I0, X, c_invalid))) | m_processor_v_snoop(c_p0, s7, c_invalid) | m_processor_v_snoop(c_p0, s7, c_shared) | m_processor_v_snoop(c_p0, s7, c_owned)),
% 51.06/33.71 inference(modus_ponens,[status(thm)],[26007, 26006])).
% 51.06/33.71 tff(26009,plain,
% 51.06/33.71 (m_processor_v_snoop(c_p0, s7, c_invalid)),
% 51.06/33.71 inference(unit_resolution,[status(thm)],[26008, 7213, 25985, 26002])).
% 51.06/33.71 tff(26010,plain,
% 51.06/33.71 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p0, s7, c_shared) | (~node65(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p0, s7, c_shared) | (~node65(c_p0, s7)))),
% 51.06/33.71 inference(rewrite,[status(thm)],[])).
% 51.06/33.71 tff(26011,plain,
% 51.06/33.71 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | (m_processor_v_snoop(c_p0, s7, c_shared) | (~node65(c_p0, s7)))),
% 51.06/33.71 inference(quant_inst,[status(thm)],[])).
% 51.06/33.71 tff(26012,plain,
% 51.06/33.71 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_shared) | (~node65(I0, X)))) | m_processor_v_snoop(c_p0, s7, c_shared) | (~node65(c_p0, s7))),
% 51.06/33.71 inference(modus_ponens,[status(thm)],[26011, 26010])).
% 51.06/33.71 tff(26013,plain,
% 51.06/33.71 (~node65(c_p0, s7)),
% 51.06/33.71 inference(unit_resolution,[status(thm)],[26012, 4107, 26002])).
% 51.06/33.71 tff(26014,plain,
% 51.06/33.71 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_cmd(c_p0, s7, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s7, c_invalid)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node64(c_p0, s7) | node63(c_p0, s7) | node65(c_p0, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_cmd(c_p0, s7, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s7, c_invalid)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node64(c_p0, s7) | node63(c_p0, s7) | node65(c_p0, s7))),
% 51.06/33.71 inference(rewrite,[status(thm)],[])).
% 51.06/33.71 tff(26015,plain,
% 51.06/33.71 ((m_processor_v_cmd(c_p0, s7, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s7, c_invalid)) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node63(c_p0, s7) | node64(c_p0, s7) | node65(c_p0, s7)) <=> ((~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_cmd(c_p0, s7, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s7, c_invalid)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node64(c_p0, s7) | node63(c_p0, s7) | node65(c_p0, s7))),
% 51.06/33.71 inference(rewrite,[status(thm)],[])).
% 51.06/33.71 tff(26016,plain,
% 51.06/33.71 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p0, s7, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s7, c_invalid)) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node63(c_p0, s7) | node64(c_p0, s7) | node65(c_p0, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | ((~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_cmd(c_p0, s7, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s7, c_invalid)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node64(c_p0, s7) | node63(c_p0, s7) | node65(c_p0, s7)))),
% 51.06/33.71 inference(monotonicity,[status(thm)],[26015])).
% 51.06/33.71 tff(26017,plain,
% 51.06/33.71 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p0, s7, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s7, c_invalid)) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node63(c_p0, s7) | node64(c_p0, s7) | node65(c_p0, s7))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_cmd(c_p0, s7, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s7, c_invalid)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node64(c_p0, s7) | node63(c_p0, s7) | node65(c_p0, s7))),
% 51.06/33.71 inference(transitivity,[status(thm)],[26016, 26014])).
% 51.06/33.71 tff(26018,plain,
% 51.06/33.71 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (m_processor_v_cmd(c_p0, s7, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s7, c_invalid)) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node63(c_p0, s7) | node64(c_p0, s7) | node65(c_p0, s7))),
% 51.06/33.71 inference(quant_inst,[status(thm)],[])).
% 51.06/33.71 tff(26019,plain,
% 51.06/33.71 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_write_h_invalid) | (~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_master(I0, X)) | node62(I0, X) | node63(I0, X) | node64(I0, X) | node65(I0, X))) | (~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_cmd(c_p0, s7, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s7, c_invalid)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node64(c_p0, s7) | node63(c_p0, s7) | node65(c_p0, s7)),
% 51.06/33.71 inference(modus_ponens,[status(thm)],[26018, 26017])).
% 51.06/33.71 tff(26020,plain,
% 51.06/33.71 (m_processor_v_cmd(c_p0, s7, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s7, c_invalid)) | node62(c_p0, s7) | node64(c_p0, s7) | node63(c_p0, s7) | node65(c_p0, s7)),
% 51.06/33.71 inference(unit_resolution,[status(thm)],[26019, 7232, 14621, 2313])).
% 51.06/33.71 tff(26021,plain,
% 51.06/33.71 ($false),
% 51.06/33.71 inference(unit_resolution,[status(thm)],[26020, 26013, 26009, 25994, 25993, 25992, 25984])).
% 51.06/33.71 tff(26022,plain,(m_processor_v_snoop(c_p0, s7, c_owned) | m_processor_v_cmd(c_p0, s7, c_write_h_invalid) | node62(c_p0, s7) | node63(c_p0, s7) | (~m_processor_v_master(c_p0, s7)) | (~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.71 tff(26023,plain,
% 51.06/33.71 (m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)),
% 51.06/33.71 inference(unit_resolution,[status(thm)],[26022, 25983, 25736, 25930, 25959, 25976, 25925])).
% 51.06/33.71 tff(26024,plain,
% 51.06/33.71 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response))))),
% 51.06/33.71 inference(bind,[status(th)],[])).
% 51.06/33.71 tff(26025,plain,
% 51.06/33.71 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 51.06/33.71 inference(quant_intro,[status(thm)],[26024])).
% 51.06/33.71 tff(26026,plain,
% 51.06/33.71 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 51.06/33.71 inference(rewrite,[status(thm)],[])).
% 51.06/33.71 tff(26027,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_36')).
% 51.06/33.71 tff(26028,plain,
% 51.06/33.71 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 51.06/33.71 inference(modus_ponens,[status(thm)],[26027, 26026])).
% 51.06/33.71 tff(26029,plain,(
% 51.06/33.71 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 51.06/33.71 inference(skolemize,[status(sab)],[26028])).
% 51.06/33.71 tff(26030,plain,
% 51.06/33.71 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))),
% 51.06/33.71 inference(modus_ponens,[status(thm)],[26029, 26025])).
% 51.06/33.71 tff(26031,plain,
% 51.06/33.71 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p0, s7, c_response)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p0, s7, c_response)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)))),
% 51.06/33.71 inference(rewrite,[status(thm)],[])).
% 51.06/33.71 tff(26032,plain,
% 51.06/33.71 (((~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(c_p0, s7, c_response))) <=> ((~m_processor_v_cmd(c_p0, s7, c_response)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)))),
% 51.06/33.71 inference(rewrite,[status(thm)],[])).
% 51.06/33.71 tff(26033,plain,
% 51.06/33.71 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(c_p0, s7, c_response)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p0, s7, c_response)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared))))),
% 51.06/33.71 inference(monotonicity,[status(thm)],[26032])).
% 51.06/33.71 tff(26034,plain,
% 51.06/33.71 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(c_p0, s7, c_response)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p0, s7, c_response)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)))),
% 51.06/33.71 inference(transitivity,[status(thm)],[26033, 26031])).
% 51.06/33.71 tff(26035,plain,
% 51.06/33.71 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(c_p0, s7, c_response)))),
% 51.06/33.71 inference(quant_inst,[status(thm)],[])).
% 51.06/33.71 tff(26036,plain,
% 51.06/33.71 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p0, s7, c_response)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared))),
% 51.06/33.71 inference(modus_ponens,[status(thm)],[26035, 26034])).
% 51.06/33.71 tff(26037,plain,
% 51.06/33.71 (~m_processor_v_cmd(c_p0, s7, c_response)),
% 51.06/33.71 inference(unit_resolution,[status(thm)],[26036, 26030, 26023])).
% 51.06/33.71 tff(26038,plain,
% 51.06/33.71 (~m_main_v_CMD(s7, c_response)),
% 51.06/33.71 inference(unit_resolution,[status(thm)],[23818, 2191, 25961, 26037])).
% 51.06/33.71 tff(26039,plain,
% 51.06/33.71 (^[I0: $i, X: $i] : refl(((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate))) <=> ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate))))),
% 51.06/33.71 inference(bind,[status(th)],[])).
% 51.06/33.71 tff(26040,plain,
% 51.06/33.71 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate)))),
% 51.06/33.71 inference(quant_intro,[status(thm)],[26039])).
% 51.06/33.71 tff(26041,plain,
% 51.06/33.71 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate))) <=> ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate)))),
% 51.06/33.71 inference(rewrite,[status(thm)],[])).
% 51.06/33.71 tff(26042,axiom,(![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_35')).
% 51.06/33.71 tff(26043,plain,
% 51.06/33.71 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate)))),
% 51.06/33.71 inference(modus_ponens,[status(thm)],[26042, 26041])).
% 51.06/33.71 tff(26044,plain,(
% 51.06/33.71 ![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate)))),
% 51.06/33.71 inference(skolemize,[status(sab)],[26043])).
% 51.06/33.71 tff(26045,plain,
% 51.06/33.71 (![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate)))),
% 51.06/33.71 inference(modus_ponens,[status(thm)],[26044, 26040])).
% 51.06/33.71 tff(26046,plain,
% 51.06/33.71 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | ((~m_processor_v_cmd(c_p0, s7, c_invalidate)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | (~m_processor_v_cmd(c_p0, s7, c_invalidate)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)))),
% 51.06/33.71 inference(rewrite,[status(thm)],[])).
% 51.06/33.71 tff(26047,plain,
% 51.06/33.71 (((~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(c_p0, s7, c_invalidate))) <=> ((~m_processor_v_cmd(c_p0, s7, c_invalidate)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)))),
% 51.06/33.71 inference(rewrite,[status(thm)],[])).
% 51.06/33.71 tff(26048,plain,
% 51.06/33.71 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | ((~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(c_p0, s7, c_invalidate)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | ((~m_processor_v_cmd(c_p0, s7, c_invalidate)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared))))),
% 51.06/33.71 inference(monotonicity,[status(thm)],[26047])).
% 51.06/33.71 tff(26049,plain,
% 51.06/33.71 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | ((~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(c_p0, s7, c_invalidate)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | (~m_processor_v_cmd(c_p0, s7, c_invalidate)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)))),
% 51.06/33.71 inference(transitivity,[status(thm)],[26048, 26046])).
% 51.06/33.71 tff(26050,plain,
% 51.06/33.71 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | ((~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(c_p0, s7, c_invalidate)))),
% 51.06/33.71 inference(quant_inst,[status(thm)],[])).
% 51.06/33.71 tff(26051,plain,
% 51.06/33.71 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(I0, X, c_invalidate)))) | (~m_processor_v_cmd(c_p0, s7, c_invalidate)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared))),
% 51.06/33.71 inference(modus_ponens,[status(thm)],[26050, 26049])).
% 51.06/33.71 tff(26052,plain,
% 51.06/33.71 (~m_processor_v_cmd(c_p0, s7, c_invalidate)),
% 51.06/33.71 inference(unit_resolution,[status(thm)],[26051, 26045, 26023])).
% 51.06/33.71 tff(26053,plain,
% 51.06/33.71 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_invalidate) | (~m_main_v_CMD(s7, c_invalidate)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_invalidate) | (~m_main_v_CMD(s7, c_invalidate)))),
% 51.06/33.71 inference(rewrite,[status(thm)],[])).
% 51.06/33.71 tff(26054,plain,
% 51.06/33.71 (((~m_main_v_CMD(s7, c_invalidate)) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_invalidate)) <=> ((~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_invalidate) | (~m_main_v_CMD(s7, c_invalidate)))),
% 51.06/33.71 inference(rewrite,[status(thm)],[])).
% 51.06/33.71 tff(26055,plain,
% 51.06/33.71 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_invalidate)) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_invalidate))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_invalidate) | (~m_main_v_CMD(s7, c_invalidate))))),
% 51.06/33.71 inference(monotonicity,[status(thm)],[26054])).
% 51.06/33.71 tff(26056,plain,
% 51.06/33.71 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_invalidate)) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_invalidate))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_invalidate) | (~m_main_v_CMD(s7, c_invalidate)))),
% 51.06/33.71 inference(transitivity,[status(thm)],[26055, 26053])).
% 51.06/33.71 tff(26057,plain,
% 51.06/33.71 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_invalidate)) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_invalidate))),
% 51.06/33.71 inference(quant_inst,[status(thm)],[])).
% 51.06/33.71 tff(26058,plain,
% 51.06/33.71 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_invalidate) | (~m_main_v_CMD(s7, c_invalidate))),
% 51.06/33.71 inference(modus_ponens,[status(thm)],[26057, 26056])).
% 51.06/33.71 tff(26059,plain,
% 51.06/33.71 (~m_main_v_CMD(s7, c_invalidate)),
% 51.06/33.71 inference(unit_resolution,[status(thm)],[26058, 2191, 25961, 26052])).
% 51.06/33.71 tff(26060,plain,
% 51.06/33.71 (~node17(s7)),
% 51.06/33.71 inference(unit_resolution,[status(thm)],[14631, 25736])).
% 51.06/33.71 tff(26061,plain,
% 51.06/33.71 (~m_memory_v_master(c_m, s7)),
% 51.06/33.71 inference(unit_resolution,[status(thm)],[13209, 26060])).
% 51.06/33.71 tff(26062,plain,
% 51.06/33.71 (~node29(c_m, s7)),
% 51.06/33.71 inference(unit_resolution,[status(thm)],[13217, 26061])).
% 51.06/33.71 tff(26063,plain,
% 51.06/33.71 (m_memory_v_cmd(c_m, s7, c_idle)),
% 51.06/33.71 inference(unit_resolution,[status(thm)],[13225, 26062])).
% 51.06/33.71 tff(26064,plain,
% 51.06/33.71 (~node52(c_p1, s7, s8)),
% 51.06/33.71 inference(unit_resolution,[status(thm)],[25210, 24992, 25202])).
% 51.06/33.71 tff(26065,plain,
% 51.06/33.71 (~node36(c_p1, s7)),
% 51.06/33.71 inference(unit_resolution,[status(thm)],[13066, 167, 24014])).
% 51.06/33.71 tff(26066,plain,
% 51.06/33.71 (~m_processor_v_state(c_p1, s8, c_shared)),
% 51.06/33.71 inference(unit_resolution,[status(thm)],[13088, 13051, 24014])).
% 51.06/33.71 tff(26067,plain,
% 51.06/33.71 (m_processor_v_state(c_p1, s8, c_invalid)),
% 51.06/33.71 inference(unit_resolution,[status(thm)],[6402, 5672, 26066])).
% 51.06/33.71 tff(26068,plain,
% 51.06/33.71 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s7, c_invalid) | (~m_processor_v_state(c_p1, s8, c_invalid)) | (~node37(c_p1, s7, s8)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s7, c_invalid) | (~m_processor_v_state(c_p1, s8, c_invalid)) | (~node37(c_p1, s7, s8)))),
% 51.06/33.71 inference(rewrite,[status(thm)],[])).
% 51.06/33.71 tff(26069,plain,
% 51.06/33.71 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p1, s7, c_invalid) | (~m_processor_v_state(c_p1, s8, c_invalid)) | (~node37(c_p1, s7, s8)))),
% 51.06/33.71 inference(quant_inst,[status(thm)],[])).
% 51.06/33.71 tff(26070,plain,
% 51.06/33.71 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p1, s7, c_invalid) | (~m_processor_v_state(c_p1, s8, c_invalid)) | (~node37(c_p1, s7, s8))),
% 51.06/33.71 inference(modus_ponens,[status(thm)],[26069, 26068])).
% 51.06/33.71 tff(26071,plain,
% 51.06/33.71 (~node37(c_p1, s7, s8)),
% 51.06/33.71 inference(unit_resolution,[status(thm)],[26070, 182, 26067, 13436])).
% 51.06/33.71 tff(26072,plain,
% 51.06/33.71 (m_processor_v_abort(c_p1, s7)),
% 51.06/33.71 inference(unit_resolution,[status(thm)],[13078, 26071, 13051, 24014, 26065])).
% 51.06/33.71 tff(26073,plain,
% 51.06/33.71 (node32(c_p1, s7, s8)),
% 51.06/33.71 inference(unit_resolution,[status(thm)],[13049, 26072])).
% 51.06/33.71 tff(26074,plain,
% 51.06/33.71 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_state(c_p1, s8, c_owned) | (~node32(c_p1, s7, s8)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_state(c_p1, s8, c_owned) | (~node32(c_p1, s7, s8)))),
% 51.06/33.71 inference(rewrite,[status(thm)],[])).
% 51.06/33.71 tff(26075,plain,
% 51.06/33.71 (((~node32(c_p1, s7, s8)) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_state(c_p1, s8, c_owned)) <=> ((~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_state(c_p1, s8, c_owned) | (~node32(c_p1, s7, s8)))),
% 51.06/33.71 inference(rewrite,[status(thm)],[])).
% 51.06/33.71 tff(26076,plain,
% 51.06/33.71 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s7, s8)) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_state(c_p1, s8, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_state(c_p1, s8, c_owned) | (~node32(c_p1, s7, s8))))),
% 51.06/33.71 inference(monotonicity,[status(thm)],[26075])).
% 51.06/33.71 tff(26077,plain,
% 51.06/33.71 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s7, s8)) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_state(c_p1, s8, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_state(c_p1, s8, c_owned) | (~node32(c_p1, s7, s8)))),
% 51.06/33.71 inference(transitivity,[status(thm)],[26076, 26074])).
% 51.06/33.71 tff(26078,plain,
% 51.06/33.71 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s7, s8)) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_state(c_p1, s8, c_owned))),
% 51.06/33.71 inference(quant_inst,[status(thm)],[])).
% 51.06/33.71 tff(26079,plain,
% 51.06/33.71 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_state(c_p1, s8, c_owned) | (~node32(c_p1, s7, s8))),
% 51.06/33.71 inference(modus_ponens,[status(thm)],[26078, 26077])).
% 51.06/33.71 tff(26080,plain,
% 51.06/33.71 ($false),
% 51.06/33.71 inference(unit_resolution,[status(thm)],[26079, 380, 13435, 26073, 5672])).
% 51.06/33.71 tff(26081,plain,(m_processor_v_state(c_p1, s8, c_owned) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_master(c_p1, s7)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.71 tff(26082,plain,
% 51.06/33.71 (m_processor_v_master(c_p1, s7)),
% 51.06/33.71 inference(unit_resolution,[status(thm)],[26081, 5672, 13435])).
% 51.06/33.71 tff(26083,plain,
% 51.06/33.71 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | ((~m_processor_v_master(c_p1, s7)) | (~node50(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | (~m_processor_v_master(c_p1, s7)) | (~node50(c_p1, s7)))),
% 51.06/33.71 inference(rewrite,[status(thm)],[])).
% 51.06/33.71 tff(26084,plain,
% 51.06/33.71 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | ((~m_processor_v_master(c_p1, s7)) | (~node50(c_p1, s7)))),
% 51.06/33.71 inference(quant_inst,[status(thm)],[])).
% 51.06/33.71 tff(26085,plain,
% 51.06/33.71 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | (~m_processor_v_master(c_p1, s7)) | (~node50(c_p1, s7))),
% 51.06/33.71 inference(modus_ponens,[status(thm)],[26084, 26083])).
% 51.06/33.71 tff(26086,plain,
% 51.06/33.71 (~node50(c_p1, s7)),
% 51.06/33.71 inference(unit_resolution,[status(thm)],[26085, 16866, 26082])).
% 51.06/33.71 tff(26087,plain,
% 51.06/33.71 (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)),
% 51.06/33.71 inference(unit_resolution,[status(thm)],[13171, 26082, 24006, 24992])).
% 51.06/33.71 tff(26088,plain,
% 51.06/33.71 (node34(c_p1, s7, s8)),
% 51.06/33.71 inference(unit_resolution,[status(thm)],[23515, 26082, 24006])).
% 51.06/33.71 tff(26089,plain,
% 51.06/33.71 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | (m_processor_v_CMD(c_p1, s7, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)) | m_processor_v_state(c_p1, s8, c_owned) | (~node34(c_p1, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)) | m_processor_v_state(c_p1, s8, c_owned) | (~node34(c_p1, s7, s8)))),
% 51.06/33.71 inference(rewrite,[status(thm)],[])).
% 51.06/33.71 tff(26090,plain,
% 51.06/33.71 (((~node34(c_p1, s7, s8)) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_state(c_p1, s8, c_owned) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned))) <=> (m_processor_v_CMD(c_p1, s7, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)) | m_processor_v_state(c_p1, s8, c_owned) | (~node34(c_p1, s7, s8)))),
% 51.06/33.72 inference(rewrite,[status(thm)],[])).
% 51.06/33.72 tff(26091,plain,
% 51.06/33.72 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p1, s7, s8)) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_state(c_p1, s8, c_owned) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | (m_processor_v_CMD(c_p1, s7, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)) | m_processor_v_state(c_p1, s8, c_owned) | (~node34(c_p1, s7, s8))))),
% 51.06/33.72 inference(monotonicity,[status(thm)],[26090])).
% 51.06/33.72 tff(26092,plain,
% 51.06/33.72 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p1, s7, s8)) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_state(c_p1, s8, c_owned) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)) | m_processor_v_state(c_p1, s8, c_owned) | (~node34(c_p1, s7, s8)))),
% 51.06/33.72 inference(transitivity,[status(thm)],[26091, 26089])).
% 51.06/33.72 tff(26093,plain,
% 51.06/33.72 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p1, s7, s8)) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | m_processor_v_state(c_p1, s8, c_owned) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)))),
% 51.06/33.72 inference(quant_inst,[status(thm)],[])).
% 51.06/33.72 tff(26094,plain,
% 51.06/33.72 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_CMD(c_p1, s7, c_read_h_shared) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)) | m_processor_v_state(c_p1, s8, c_owned) | (~node34(c_p1, s7, s8))),
% 51.06/33.72 inference(modus_ponens,[status(thm)],[26093, 26092])).
% 51.06/33.72 tff(26095,plain,
% 51.06/33.72 ($false),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[26094, 1864, 23518, 23572, 5672, 13173])).
% 51.06/33.72 tff(26096,plain,((~node34(c_p1, s7, s8)) | (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)) | m_processor_v_state(c_p1, s8, c_owned) | m_processor_v_CMD(c_p1, s7, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.72 tff(26097,plain,
% 51.06/33.72 (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[26096, 26088, 5672, 26087])).
% 51.06/33.72 tff(26098,plain,
% 51.06/33.72 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p1, s7, c_read_h_owned) | (~node48(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | (~node48(c_p1, s7)))),
% 51.06/33.72 inference(rewrite,[status(thm)],[])).
% 51.06/33.72 tff(26099,plain,
% 51.06/33.72 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p1, s7, c_read_h_owned) | (~node48(c_p1, s7)))),
% 51.06/33.72 inference(quant_inst,[status(thm)],[])).
% 51.06/33.72 tff(26100,plain,
% 51.06/33.72 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p1, s7, c_read_h_owned) | (~node48(c_p1, s7))),
% 51.06/33.72 inference(modus_ponens,[status(thm)],[26099, 26098])).
% 51.06/33.72 tff(26101,plain,
% 51.06/33.72 (~node48(c_p1, s7)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[26100, 16883, 26097])).
% 51.06/33.72 tff(26102,plain,
% 51.06/33.72 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | ((~m_processor_v_master(c_p1, s7)) | (~node51(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | (~m_processor_v_master(c_p1, s7)) | (~node51(c_p1, s7)))),
% 51.06/33.72 inference(rewrite,[status(thm)],[])).
% 51.06/33.72 tff(26103,plain,
% 51.06/33.72 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | ((~m_processor_v_master(c_p1, s7)) | (~node51(c_p1, s7)))),
% 51.06/33.72 inference(quant_inst,[status(thm)],[])).
% 51.06/33.72 tff(26104,plain,
% 51.06/33.72 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | (~m_processor_v_master(c_p1, s7)) | (~node51(c_p1, s7))),
% 51.06/33.72 inference(modus_ponens,[status(thm)],[26103, 26102])).
% 51.06/33.72 tff(26105,plain,
% 51.06/33.72 (~node51(c_p1, s7)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[26104, 16894, 26082])).
% 51.06/33.72 tff(26106,plain,
% 51.06/33.72 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | ((~m_processor_v_master(c_p1, s7)) | (~node49(c_p1, s7)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | (~m_processor_v_master(c_p1, s7)) | (~node49(c_p1, s7)))),
% 51.06/33.72 inference(rewrite,[status(thm)],[])).
% 51.06/33.72 tff(26107,plain,
% 51.06/33.72 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | ((~m_processor_v_master(c_p1, s7)) | (~node49(c_p1, s7)))),
% 51.06/33.72 inference(quant_inst,[status(thm)],[])).
% 51.06/33.72 tff(26108,plain,
% 51.06/33.72 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | (~m_processor_v_master(c_p1, s7)) | (~node49(c_p1, s7))),
% 51.06/33.72 inference(modus_ponens,[status(thm)],[26107, 26106])).
% 51.06/33.72 tff(26109,plain,
% 51.06/33.72 (~node49(c_p1, s7)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[26108, 16755, 26082])).
% 51.06/33.72 tff(26110,plain,
% 51.06/33.72 (node47(c_p1, s7)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[25334, 26109, 25293, 24006, 26105, 26101, 26086])).
% 51.06/33.72 tff(26111,plain,
% 51.06/33.72 ($false),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[13397, 657, 26087, 26110])).
% 51.06/33.72 tff(26112,plain,(m_processor_v_state(c_p1, s8, c_owned) | node52(c_p1, s7, s8) | m_processor_v_abort(c_p1, s7) | m_processor_v_waiting(c_p1, s8) | (~m_processor_v_state(c_p1, s7, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.72 tff(26113,plain,
% 51.06/33.72 (m_processor_v_state(c_p1, s8, c_owned)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[26112, 24992, 24006, 25293, 13435])).
% 51.06/33.72 tff(26114,plain,
% 51.06/33.72 (~m_processor_v_state(c_p1, s8, c_invalid)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[13056, 26113])).
% 51.06/33.72 tff(26115,plain,
% 51.06/33.72 (m_processor_v_state(c_p1, s8, c_shared)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[25377, 26114, 13267, 24006, 13266, 13435, 24992, 25293])).
% 51.06/33.72 tff(26116,plain,
% 51.06/33.72 ($false),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[13150, 121, 26115, 26113])).
% 51.06/33.72 tff(26117,plain,(m_processor_v_waiting(c_p1, s8) | (~m_memory_v_cmd(c_m, s7, c_idle)) | m_processor_v_abort(c_p1, s7) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_state(c_p1, s7, c_owned)) | node52(c_p1, s7, s8)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.72 tff(26118,plain,
% 51.06/33.72 (m_processor_v_abort(c_p1, s7)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[26117, 26064, 24992, 13266, 13435, 13267])).
% 51.06/33.72 tff(26119,plain,
% 51.06/33.72 (node46(c_p1, s7, s8)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[25385, 26118])).
% 51.06/33.72 tff(26120,plain,
% 51.06/33.72 ($false),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[25392, 11708, 25202, 24992, 26119])).
% 51.06/33.72 tff(26121,plain,(m_processor_v_waiting(c_p1, s8) | (~m_processor_v_waiting(c_p1, s7)) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_memory_v_cmd(c_m, s7, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.72 tff(26122,plain,
% 51.06/33.72 (~m_processor_v_cmd(c_p0, s7, c_idle)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[26121, 25744, 26063, 18160, 25739])).
% 51.06/33.72 tff(26123,plain,
% 51.06/33.72 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s7, c_idle) | (~node8(s7)) | (~m_main_v_CMD(s7, c_idle)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s7, c_idle) | (~node8(s7)) | (~m_main_v_CMD(s7, c_idle)))),
% 51.06/33.72 inference(rewrite,[status(thm)],[])).
% 51.06/33.72 tff(26124,plain,
% 51.06/33.72 (((~m_main_v_CMD(s7, c_idle)) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_idle)) <=> (m_processor_v_cmd(c_p0, s7, c_idle) | (~node8(s7)) | (~m_main_v_CMD(s7, c_idle)))),
% 51.06/33.72 inference(rewrite,[status(thm)],[])).
% 51.06/33.72 tff(26125,plain,
% 51.06/33.72 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_idle)) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_idle))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s7, c_idle) | (~node8(s7)) | (~m_main_v_CMD(s7, c_idle))))),
% 51.06/33.72 inference(monotonicity,[status(thm)],[26124])).
% 51.06/33.72 tff(26126,plain,
% 51.06/33.72 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_idle)) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_idle))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s7, c_idle) | (~node8(s7)) | (~m_main_v_CMD(s7, c_idle)))),
% 51.06/33.72 inference(transitivity,[status(thm)],[26125, 26123])).
% 51.06/33.72 tff(26127,plain,
% 51.06/33.72 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_idle)) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_idle))),
% 51.06/33.72 inference(quant_inst,[status(thm)],[])).
% 51.06/33.72 tff(26128,plain,
% 51.06/33.72 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s7, c_idle) | (~node8(s7)) | (~m_main_v_CMD(s7, c_idle))),
% 51.06/33.72 inference(modus_ponens,[status(thm)],[26127, 26126])).
% 51.06/33.72 tff(26129,plain,
% 51.06/33.72 (~m_main_v_CMD(s7, c_idle)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[26128, 2191, 26122, 25961])).
% 51.06/33.72 tff(26130,plain,
% 51.06/33.72 (((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | (m_main_v_CMD(s7, c_idle) | m_main_v_CMD(s7, c_response) | m_main_v_CMD(s7, c_invalidate) | m_main_v_CMD(s7, c_write_h_resp_h_shared) | m_main_v_CMD(s7, c_write_h_resp_h_invalid) | m_main_v_CMD(s7, c_write_h_shared) | m_main_v_CMD(s7, c_write_h_invalid) | m_main_v_CMD(s7, c_read_h_owned) | m_main_v_CMD(s7, c_read_h_shared))) <=> ((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | m_main_v_CMD(s7, c_idle) | m_main_v_CMD(s7, c_response) | m_main_v_CMD(s7, c_invalidate) | m_main_v_CMD(s7, c_write_h_resp_h_shared) | m_main_v_CMD(s7, c_write_h_resp_h_invalid) | m_main_v_CMD(s7, c_write_h_shared) | m_main_v_CMD(s7, c_write_h_invalid) | m_main_v_CMD(s7, c_read_h_owned) | m_main_v_CMD(s7, c_read_h_shared))),
% 51.06/33.72 inference(rewrite,[status(thm)],[])).
% 51.06/33.72 tff(26131,plain,
% 51.06/33.72 ((m_main_v_CMD(s7, c_response) | m_main_v_CMD(s7, c_invalidate) | m_main_v_CMD(s7, c_write_h_resp_h_shared) | m_main_v_CMD(s7, c_write_h_resp_h_invalid) | m_main_v_CMD(s7, c_write_h_shared) | m_main_v_CMD(s7, c_write_h_invalid) | m_main_v_CMD(s7, c_read_h_owned) | m_main_v_CMD(s7, c_read_h_shared) | m_main_v_CMD(s7, c_idle)) <=> (m_main_v_CMD(s7, c_idle) | m_main_v_CMD(s7, c_response) | m_main_v_CMD(s7, c_invalidate) | m_main_v_CMD(s7, c_write_h_resp_h_shared) | m_main_v_CMD(s7, c_write_h_resp_h_invalid) | m_main_v_CMD(s7, c_write_h_shared) | m_main_v_CMD(s7, c_write_h_invalid) | m_main_v_CMD(s7, c_read_h_owned) | m_main_v_CMD(s7, c_read_h_shared))),
% 51.06/33.72 inference(rewrite,[status(thm)],[])).
% 51.06/33.72 tff(26132,plain,
% 51.06/33.72 (((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | (m_main_v_CMD(s7, c_response) | m_main_v_CMD(s7, c_invalidate) | m_main_v_CMD(s7, c_write_h_resp_h_shared) | m_main_v_CMD(s7, c_write_h_resp_h_invalid) | m_main_v_CMD(s7, c_write_h_shared) | m_main_v_CMD(s7, c_write_h_invalid) | m_main_v_CMD(s7, c_read_h_owned) | m_main_v_CMD(s7, c_read_h_shared) | m_main_v_CMD(s7, c_idle))) <=> ((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | (m_main_v_CMD(s7, c_idle) | m_main_v_CMD(s7, c_response) | m_main_v_CMD(s7, c_invalidate) | m_main_v_CMD(s7, c_write_h_resp_h_shared) | m_main_v_CMD(s7, c_write_h_resp_h_invalid) | m_main_v_CMD(s7, c_write_h_shared) | m_main_v_CMD(s7, c_write_h_invalid) | m_main_v_CMD(s7, c_read_h_owned) | m_main_v_CMD(s7, c_read_h_shared)))),
% 51.06/33.72 inference(monotonicity,[status(thm)],[26131])).
% 51.06/33.72 tff(26133,plain,
% 51.06/33.72 (((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | (m_main_v_CMD(s7, c_response) | m_main_v_CMD(s7, c_invalidate) | m_main_v_CMD(s7, c_write_h_resp_h_shared) | m_main_v_CMD(s7, c_write_h_resp_h_invalid) | m_main_v_CMD(s7, c_write_h_shared) | m_main_v_CMD(s7, c_write_h_invalid) | m_main_v_CMD(s7, c_read_h_owned) | m_main_v_CMD(s7, c_read_h_shared) | m_main_v_CMD(s7, c_idle))) <=> ((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | m_main_v_CMD(s7, c_idle) | m_main_v_CMD(s7, c_response) | m_main_v_CMD(s7, c_invalidate) | m_main_v_CMD(s7, c_write_h_resp_h_shared) | m_main_v_CMD(s7, c_write_h_resp_h_invalid) | m_main_v_CMD(s7, c_write_h_shared) | m_main_v_CMD(s7, c_write_h_invalid) | m_main_v_CMD(s7, c_read_h_owned) | m_main_v_CMD(s7, c_read_h_shared))),
% 51.06/33.72 inference(transitivity,[status(thm)],[26132, 26130])).
% 51.06/33.72 tff(26134,plain,
% 51.06/33.72 ((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | (m_main_v_CMD(s7, c_response) | m_main_v_CMD(s7, c_invalidate) | m_main_v_CMD(s7, c_write_h_resp_h_shared) | m_main_v_CMD(s7, c_write_h_resp_h_invalid) | m_main_v_CMD(s7, c_write_h_shared) | m_main_v_CMD(s7, c_write_h_invalid) | m_main_v_CMD(s7, c_read_h_owned) | m_main_v_CMD(s7, c_read_h_shared) | m_main_v_CMD(s7, c_idle))),
% 51.06/33.72 inference(quant_inst,[status(thm)],[])).
% 51.06/33.72 tff(26135,plain,
% 51.06/33.72 ((~![X: $i] : (m_main_v_CMD(X, c_response) | m_main_v_CMD(X, c_invalidate) | m_main_v_CMD(X, c_write_h_resp_h_shared) | m_main_v_CMD(X, c_write_h_resp_h_invalid) | m_main_v_CMD(X, c_write_h_shared) | m_main_v_CMD(X, c_write_h_invalid) | m_main_v_CMD(X, c_read_h_owned) | m_main_v_CMD(X, c_read_h_shared) | m_main_v_CMD(X, c_idle))) | m_main_v_CMD(s7, c_idle) | m_main_v_CMD(s7, c_response) | m_main_v_CMD(s7, c_invalidate) | m_main_v_CMD(s7, c_write_h_resp_h_shared) | m_main_v_CMD(s7, c_write_h_resp_h_invalid) | m_main_v_CMD(s7, c_write_h_shared) | m_main_v_CMD(s7, c_write_h_invalid) | m_main_v_CMD(s7, c_read_h_owned) | m_main_v_CMD(s7, c_read_h_shared)),
% 51.06/33.72 inference(modus_ponens,[status(thm)],[26134, 26133])).
% 51.06/33.72 tff(26136,plain,
% 51.06/33.72 (m_main_v_CMD(s7, c_response) | m_main_v_CMD(s7, c_invalidate) | m_main_v_CMD(s7, c_write_h_resp_h_shared) | m_main_v_CMD(s7, c_write_h_resp_h_invalid) | m_main_v_CMD(s7, c_write_h_shared) | m_main_v_CMD(s7, c_write_h_invalid) | m_main_v_CMD(s7, c_read_h_owned) | m_main_v_CMD(s7, c_read_h_shared)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[26135, 3613, 26129])).
% 51.06/33.72 tff(26137,plain,
% 51.06/33.72 ($false),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[26136, 26059, 26038, 25893, 25886, 25885, 25876, 25867, 25856])).
% 51.06/33.72 tff(26138,plain,(node67(s9) | (~m_processor_v_state(c_p1, s6, c_invalid)) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p1, s6, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.72 tff(26139,plain,
% 51.06/33.72 (node67(s9)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[26138, 13439, 53, 1])).
% 51.06/33.72 tff(26140,plain,
% 51.06/33.72 (m_processor_v_writable(c_p0, s9)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[14729, 26139])).
% 51.06/33.72 tff(26141,plain,
% 51.06/33.72 (node56(c_p0, s9)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[14737, 26140])).
% 51.06/33.72 tff(26142,plain,
% 51.06/33.72 (~m_processor_v_waiting(c_p0, s9)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[14756, 540, 26141])).
% 51.06/33.72 tff(26143,plain,
% 51.06/33.72 (m_processor_v_state(c_p0, s9, c_owned)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[14745, 26141])).
% 51.06/33.72 tff(26144,plain,
% 51.06/33.72 (m_processor_v_state(c_p0, s8, c_owned)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[18128, 55, 26143, 26142])).
% 51.06/33.72 tff(26145,plain,
% 51.06/33.72 (m_processor_v_state(c_p0, s7, c_owned)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[14544, 26144, 55])).
% 51.06/33.72 tff(26146,plain,
% 51.06/33.72 (m_processor_v_reply_h_owned(c_p0, s7)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[24862, 10170, 55, 26145])).
% 51.06/33.72 tff(26147,plain,
% 51.06/33.72 (~node5(s7)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[24866, 10185, 26146])).
% 51.06/33.72 tff(26148,plain,
% 51.06/33.72 (m_main_v_REPLY_h_OWNED(s7)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[15356, 26147])).
% 51.06/33.72 tff(26149,plain,
% 51.06/33.72 (m_memory_v_REPLY_h_OWNED(c_m, s7)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[15364, 26148])).
% 51.06/33.72 tff(26150,plain,
% 51.06/33.72 (m_processor_v_writable(c_p1, s9)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[6259, 26139])).
% 51.06/33.72 tff(26151,plain,
% 51.06/33.72 (node56(c_p1, s9)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[6267, 26150])).
% 51.06/33.72 tff(26152,plain,
% 51.06/33.72 (~m_processor_v_waiting(c_p1, s9)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[6546, 540, 26151])).
% 51.06/33.72 tff(26153,plain,
% 51.06/33.72 (m_processor_v_state(c_p1, s9, c_owned)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[6275, 26151])).
% 51.06/33.72 tff(26154,plain,
% 51.06/33.72 (~m_processor_v_state(c_p1, s9, c_invalid)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[6279, 137, 26153])).
% 51.06/33.72 tff(26155,plain,
% 51.06/33.72 (~m_processor_v_state(c_p1, s9, c_shared)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[6286, 121, 6365])).
% 51.06/33.72 tff(26156,plain,
% 51.06/33.72 ($false),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[6542, 6396, 26155, 6290, 5672])).
% 51.06/33.72 tff(26157,plain,((~m_processor_v_state(c_p1, s9, c_owned)) | m_processor_v_waiting(c_p1, s9) | m_processor_v_state(c_p1, s8, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.72 tff(26158,plain,
% 51.06/33.72 (m_processor_v_state(c_p1, s8, c_owned)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[26157, 26152, 26153])).
% 51.06/33.72 tff(26159,plain,
% 51.06/33.72 (~m_processor_v_state(c_p1, s9, c_shared)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[6286, 121, 26153])).
% 51.06/33.72 tff(26160,plain,
% 51.06/33.72 (~m_processor_v_state(c_p0, s9, c_invalid)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[14770, 137, 26143])).
% 51.06/33.72 tff(26161,plain,
% 51.06/33.72 (~m_processor_v_state(c_p0, s9, c_shared)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[14766, 121, 26143])).
% 51.06/33.72 tff(26162,plain,
% 51.06/33.72 (m_processor_v_state(c_p1, s7, c_invalid)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[13615, 13405, 13439, 1])).
% 51.06/33.72 tff(26163,plain,
% 51.06/33.72 (~node32(c_p1, s7, s8)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[24167, 26162, 13057])).
% 51.06/33.72 tff(26164,plain,
% 51.06/33.72 (~m_processor_v_abort(c_p1, s7)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[13049, 26163])).
% 51.06/33.72 tff(26165,plain,
% 51.06/33.72 (~m_processor_v_state(c_p1, s7, c_owned)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[13463, 13405, 25741, 1])).
% 51.06/33.72 tff(26166,plain,
% 51.06/33.72 (m_processor_v_master(c_p1, s7)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[13152, 26165, 13022])).
% 51.06/33.72 tff(26167,plain,
% 51.06/33.72 (node34(c_p1, s7, s8)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[23515, 26166, 26164])).
% 51.06/33.72 tff(26168,plain,
% 51.06/33.72 (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[24009, 26167, 15882])).
% 51.06/33.72 tff(26169,plain,
% 51.06/33.72 (~m_main_v_CMD(s7, c_read_h_shared)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[13186, 26168])).
% 51.06/33.72 tff(26170,plain,
% 51.06/33.72 (m_main_v_CMD(s7, c_read_h_owned)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[13374, 26169, 26165, 26166])).
% 51.06/33.72 tff(26171,plain,
% 51.06/33.72 (m_processor_v_CMD(c_p1, s7, c_read_h_owned)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[13385, 26170])).
% 51.06/33.72 tff(26172,assumption,(node47(c_p1, s7)), introduced(assumption)).
% 51.06/33.72 tff(26173,plain,
% 51.06/33.72 ($false),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[13397, 657, 13173, 26172])).
% 51.06/33.72 tff(26174,plain,((~node47(c_p1, s7)) | m_processor_v_CMD(c_p1, s7, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.72 tff(26175,plain,
% 51.06/33.72 (~node47(c_p1, s7)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[26174, 26168])).
% 51.06/33.72 tff(26176,plain,
% 51.06/33.72 (m_processor_v_waiting(c_p1, s8)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[13393, 26175, 26166, 26171, 26164])).
% 51.06/33.72 tff(26177,assumption,(node46(c_p1, s8, s9)), introduced(assumption)).
% 51.06/33.72 tff(26178,plain,
% 51.06/33.72 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p1, s8)) | m_processor_v_waiting(c_p1, s9) | (~node46(c_p1, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s8)) | m_processor_v_waiting(c_p1, s9) | (~node46(c_p1, s8, s9)))),
% 51.06/33.72 inference(rewrite,[status(thm)],[])).
% 51.06/33.72 tff(26179,plain,
% 51.06/33.72 ((m_processor_v_waiting(c_p1, s9) | (~m_processor_v_waiting(c_p1, s8)) | (~node46(c_p1, s8, s9))) <=> ((~m_processor_v_waiting(c_p1, s8)) | m_processor_v_waiting(c_p1, s9) | (~node46(c_p1, s8, s9)))),
% 51.06/33.72 inference(rewrite,[status(thm)],[])).
% 51.06/33.72 tff(26180,plain,
% 51.06/33.72 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s9) | (~m_processor_v_waiting(c_p1, s8)) | (~node46(c_p1, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p1, s8)) | m_processor_v_waiting(c_p1, s9) | (~node46(c_p1, s8, s9))))),
% 51.06/33.72 inference(monotonicity,[status(thm)],[26179])).
% 51.06/33.72 tff(26181,plain,
% 51.06/33.72 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s9) | (~m_processor_v_waiting(c_p1, s8)) | (~node46(c_p1, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s8)) | m_processor_v_waiting(c_p1, s9) | (~node46(c_p1, s8, s9)))),
% 51.06/33.72 inference(transitivity,[status(thm)],[26180, 26178])).
% 51.06/33.72 tff(26182,plain,
% 51.06/33.72 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s9) | (~m_processor_v_waiting(c_p1, s8)) | (~node46(c_p1, s8, s9)))),
% 51.06/33.72 inference(quant_inst,[status(thm)],[])).
% 51.06/33.72 tff(26183,plain,
% 51.06/33.72 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s8)) | m_processor_v_waiting(c_p1, s9) | (~node46(c_p1, s8, s9))),
% 51.06/33.72 inference(modus_ponens,[status(thm)],[26182, 26181])).
% 51.06/33.72 tff(26184,plain,
% 51.06/33.72 ($false),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[26183, 11708, 6290, 13154, 26177])).
% 51.06/33.72 tff(26185,plain,((~node46(c_p1, s8, s9)) | m_processor_v_waiting(c_p1, s9) | (~m_processor_v_waiting(c_p1, s8))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.72 tff(26186,plain,
% 51.06/33.72 (~node46(c_p1, s8, s9)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[26185, 26176, 6290])).
% 51.06/33.72 tff(26187,plain,
% 51.06/33.72 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s8)) | (~node53(c_p1, s8, s9)) | node46(c_p1, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p1, s8)) | (~node53(c_p1, s8, s9)) | node46(c_p1, s8, s9))),
% 51.06/33.72 inference(rewrite,[status(thm)],[])).
% 51.06/33.72 tff(26188,plain,
% 51.06/33.72 (((~m_processor_v_abort(c_p1, s8)) | node46(c_p1, s8, s9) | (~node53(c_p1, s8, s9))) <=> ((~m_processor_v_abort(c_p1, s8)) | (~node53(c_p1, s8, s9)) | node46(c_p1, s8, s9))),
% 51.06/33.72 inference(rewrite,[status(thm)],[])).
% 51.06/33.72 tff(26189,plain,
% 51.06/33.72 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s8)) | node46(c_p1, s8, s9) | (~node53(c_p1, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s8)) | (~node53(c_p1, s8, s9)) | node46(c_p1, s8, s9)))),
% 51.06/33.72 inference(monotonicity,[status(thm)],[26188])).
% 51.06/33.72 tff(26190,plain,
% 51.06/33.72 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s8)) | node46(c_p1, s8, s9) | (~node53(c_p1, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p1, s8)) | (~node53(c_p1, s8, s9)) | node46(c_p1, s8, s9))),
% 51.06/33.72 inference(transitivity,[status(thm)],[26189, 26187])).
% 51.06/33.72 tff(26191,plain,
% 51.06/33.72 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s8)) | node46(c_p1, s8, s9) | (~node53(c_p1, s8, s9)))),
% 51.06/33.72 inference(quant_inst,[status(thm)],[])).
% 51.06/33.72 tff(26192,plain,
% 51.06/33.72 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p1, s8)) | (~node53(c_p1, s8, s9)) | node46(c_p1, s8, s9)),
% 51.06/33.72 inference(modus_ponens,[status(thm)],[26191, 26190])).
% 51.06/33.72 tff(26193,plain,
% 51.06/33.72 ((~m_processor_v_abort(c_p1, s8)) | node46(c_p1, s8, s9)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[26192, 11690, 6531])).
% 51.06/33.72 tff(26194,plain,
% 51.06/33.72 (~m_processor_v_abort(c_p1, s8)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[26193, 26186])).
% 51.06/33.72 tff(26195,plain,
% 51.06/33.72 (node60(c_p1, s8)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[15039, 26194])).
% 51.06/33.72 tff(26196,plain,
% 51.06/33.72 (m_memory_v_CMD(c_m, s7, c_read_h_owned)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[15375, 26170])).
% 51.06/33.72 tff(26197,plain,
% 51.06/33.72 (~node30(c_m, s7)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[15461, 26196])).
% 51.06/33.72 tff(26198,plain,
% 51.06/33.72 (node60(c_p1, s7)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[24175, 26164])).
% 51.06/33.72 tff(26199,plain,
% 51.06/33.72 (~m_processor_v_REPLY_h_STALL(c_p1, s7)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[25755, 26198])).
% 51.06/33.72 tff(26200,plain,
% 51.06/33.72 (~m_main_v_REPLY_h_STALL(s7)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[25761, 26199])).
% 51.06/33.72 tff(26201,plain,
% 51.06/33.72 (node7(s7)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[15446, 26200])).
% 51.06/33.72 tff(26202,plain,
% 51.06/33.72 (~m_memory_v_reply_h_stall(c_m, s7)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[15454, 26201])).
% 51.06/33.72 tff(26203,plain,
% 51.06/33.72 (~m_memory_v_busy(c_m, s7)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[15470, 26202, 26197])).
% 51.06/33.72 tff(26204,plain,
% 51.06/33.72 (~node25(c_m, s7)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[15386, 26196])).
% 51.06/33.72 tff(26205,plain,
% 51.06/33.72 (~node26(c_m, s7)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[15395, 26204, 15389])).
% 51.06/33.72 tff(26206,plain,
% 51.06/33.72 (m_memory_v_abort(c_m, s7)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[15403, 26205])).
% 51.06/33.72 tff(26207,plain,
% 51.06/33.72 (node18(c_m, s7, s8)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[15415, 26206])).
% 51.06/33.72 tff(26208,plain,
% 51.06/33.72 (~m_memory_v_busy(c_m, s8)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[24889, 26207, 26203])).
% 51.06/33.72 tff(26209,plain,
% 51.06/33.72 (~node29(c_m, s8)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[15481, 2072, 26208])).
% 51.06/33.72 tff(26210,plain,
% 51.06/33.72 (m_memory_v_cmd(c_m, s8, c_idle)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[15489, 26209])).
% 51.06/33.72 tff(26211,assumption,(node52(c_p1, s8, s9)), introduced(assumption)).
% 51.06/33.72 tff(26212,plain,
% 51.06/33.72 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p1, s8)) | m_processor_v_waiting(c_p1, s9) | (~node52(c_p1, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s8)) | m_processor_v_waiting(c_p1, s9) | (~node52(c_p1, s8, s9)))),
% 51.06/33.72 inference(rewrite,[status(thm)],[])).
% 51.06/33.72 tff(26213,plain,
% 51.06/33.72 ((m_processor_v_waiting(c_p1, s9) | (~m_processor_v_waiting(c_p1, s8)) | (~node52(c_p1, s8, s9))) <=> ((~m_processor_v_waiting(c_p1, s8)) | m_processor_v_waiting(c_p1, s9) | (~node52(c_p1, s8, s9)))),
% 51.06/33.72 inference(rewrite,[status(thm)],[])).
% 51.06/33.72 tff(26214,plain,
% 51.06/33.72 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s9) | (~m_processor_v_waiting(c_p1, s8)) | (~node52(c_p1, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p1, s8)) | m_processor_v_waiting(c_p1, s9) | (~node52(c_p1, s8, s9))))),
% 51.06/33.72 inference(monotonicity,[status(thm)],[26213])).
% 51.06/33.72 tff(26215,plain,
% 51.06/33.72 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s9) | (~m_processor_v_waiting(c_p1, s8)) | (~node52(c_p1, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s8)) | m_processor_v_waiting(c_p1, s9) | (~node52(c_p1, s8, s9)))),
% 51.06/33.72 inference(transitivity,[status(thm)],[26214, 26212])).
% 51.06/33.72 tff(26216,plain,
% 51.06/33.72 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s9) | (~m_processor_v_waiting(c_p1, s8)) | (~node52(c_p1, s8, s9)))),
% 51.06/33.72 inference(quant_inst,[status(thm)],[])).
% 51.06/33.72 tff(26217,plain,
% 51.06/33.72 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s8)) | m_processor_v_waiting(c_p1, s9) | (~node52(c_p1, s8, s9))),
% 51.06/33.72 inference(modus_ponens,[status(thm)],[26216, 26215])).
% 51.06/33.72 tff(26218,plain,
% 51.06/33.72 ($false),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[26217, 10820, 6290, 13154, 26211])).
% 51.06/33.72 tff(26219,plain,((~node52(c_p1, s8, s9)) | m_processor_v_waiting(c_p1, s9) | (~m_processor_v_waiting(c_p1, s8))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.72 tff(26220,plain,
% 51.06/33.72 (~node52(c_p1, s8, s9)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[26219, 26176, 6290])).
% 51.06/33.72 tff(26221,plain,
% 51.06/33.72 (~node46(c_p1, s8, s9)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[26185, 13154, 6290])).
% 51.06/33.72 tff(26222,plain,
% 51.06/33.72 (~m_processor_v_abort(c_p1, s8)),
% 51.06/33.72 inference(unit_resolution,[status(thm)],[26193, 26221])).
% 51.06/33.72 tff(26223,plain,
% 51.06/33.72 (node60(c_p1, s8)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[15039, 26222])).
% 51.06/33.73 tff(26224,plain,
% 51.06/33.73 (~node59(c_p1, s8)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[16440, 707, 6479])).
% 51.06/33.73 tff(26225,plain,
% 51.06/33.73 (~m_processor_v_REPLY_h_WAITING(c_p1, s8)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[16445, 26224, 26223])).
% 51.06/33.73 tff(26226,plain,
% 51.06/33.73 (~m_main_v_REPLY_h_WAITING(s8)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[16450, 26225])).
% 51.06/33.73 tff(26227,plain,
% 51.06/33.73 (node6(s8)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[24490, 26226])).
% 51.06/33.73 tff(26228,assumption,(m_processor_v_reply_h_waiting(c_p1, s8)), introduced(assumption)).
% 51.06/33.73 tff(26229,assumption,(node6(s8)), introduced(assumption)).
% 51.06/33.73 tff(26230,plain,
% 51.06/33.73 (((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | ((~node6(s8)) | (~m_processor_v_reply_h_waiting(c_p1, s8)))) <=> ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | (~node6(s8)) | (~m_processor_v_reply_h_waiting(c_p1, s8)))),
% 51.06/33.73 inference(rewrite,[status(thm)],[])).
% 51.06/33.73 tff(26231,plain,
% 51.06/33.73 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | ((~node6(s8)) | (~m_processor_v_reply_h_waiting(c_p1, s8)))),
% 51.06/33.73 inference(quant_inst,[status(thm)],[])).
% 51.06/33.73 tff(26232,plain,
% 51.06/33.73 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | (~node6(s8)) | (~m_processor_v_reply_h_waiting(c_p1, s8))),
% 51.06/33.73 inference(modus_ponens,[status(thm)],[26231, 26230])).
% 51.06/33.73 tff(26233,plain,
% 51.06/33.73 ($false),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[26232, 8551, 26229, 26228])).
% 51.06/33.73 tff(26234,plain,((~node6(s8)) | (~m_processor_v_reply_h_waiting(c_p1, s8))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.73 tff(26235,plain,
% 51.06/33.73 (~m_processor_v_reply_h_waiting(c_p1, s8)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[26234, 26227])).
% 51.06/33.73 tff(26236,plain,
% 51.06/33.73 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p1, s8)) | m_processor_v_master(c_p1, s8) | m_processor_v_reply_h_waiting(c_p1, s8))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s8)) | m_processor_v_master(c_p1, s8) | m_processor_v_reply_h_waiting(c_p1, s8))),
% 51.06/33.73 inference(rewrite,[status(thm)],[])).
% 51.06/33.73 tff(26237,plain,
% 51.06/33.73 ((m_processor_v_master(c_p1, s8) | (~m_processor_v_waiting(c_p1, s8)) | m_processor_v_reply_h_waiting(c_p1, s8)) <=> ((~m_processor_v_waiting(c_p1, s8)) | m_processor_v_master(c_p1, s8) | m_processor_v_reply_h_waiting(c_p1, s8))),
% 51.06/33.73 inference(rewrite,[status(thm)],[])).
% 51.06/33.73 tff(26238,plain,
% 51.06/33.73 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s8) | (~m_processor_v_waiting(c_p1, s8)) | m_processor_v_reply_h_waiting(c_p1, s8))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p1, s8)) | m_processor_v_master(c_p1, s8) | m_processor_v_reply_h_waiting(c_p1, s8)))),
% 51.06/33.73 inference(monotonicity,[status(thm)],[26237])).
% 51.06/33.73 tff(26239,plain,
% 51.06/33.73 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s8) | (~m_processor_v_waiting(c_p1, s8)) | m_processor_v_reply_h_waiting(c_p1, s8))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s8)) | m_processor_v_master(c_p1, s8) | m_processor_v_reply_h_waiting(c_p1, s8))),
% 51.06/33.73 inference(transitivity,[status(thm)],[26238, 26236])).
% 51.06/33.73 tff(26240,plain,
% 51.06/33.73 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s8) | (~m_processor_v_waiting(c_p1, s8)) | m_processor_v_reply_h_waiting(c_p1, s8))),
% 51.06/33.73 inference(quant_inst,[status(thm)],[])).
% 51.06/33.73 tff(26241,plain,
% 51.06/33.73 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s8)) | m_processor_v_master(c_p1, s8) | m_processor_v_reply_h_waiting(c_p1, s8)),
% 51.06/33.73 inference(modus_ponens,[status(thm)],[26240, 26239])).
% 51.06/33.73 tff(26242,plain,
% 51.06/33.73 (m_processor_v_master(c_p1, s8) | m_processor_v_reply_h_waiting(c_p1, s8)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[26241, 2296, 13154])).
% 51.06/33.73 tff(26243,plain,
% 51.06/33.73 (m_processor_v_master(c_p1, s8)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[26242, 26235])).
% 51.06/33.73 tff(26244,plain,
% 51.06/33.73 (node47(c_p1, s8)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[6538, 26243, 26222, 6479, 6290])).
% 51.06/33.73 tff(26245,plain,
% 51.06/33.73 (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[15854, 26243, 6290, 26222])).
% 51.06/33.73 tff(26246,plain,
% 51.06/33.73 ($false),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[6515, 657, 26245, 26244])).
% 51.06/33.73 tff(26247,plain,((~m_processor_v_CMD(c_p1, s8, c_read_h_owned)) | m_processor_v_waiting(c_p1, s9) | (~m_processor_v_waiting(c_p1, s8))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.73 tff(26248,plain,
% 51.06/33.73 (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[26247, 26176, 6290])).
% 51.06/33.73 tff(26249,plain,
% 51.06/33.73 (m_processor_v_cmd(c_p1, s8, c_idle)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[15997, 6297, 6289, 13022, 15529, 6414, 6288, 6290])).
% 51.06/33.73 tff(26250,plain,
% 51.06/33.73 (m_main_v_CMD(s8, c_idle)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[16035, 26249, 15798, 15510])).
% 51.06/33.73 tff(26251,plain,
% 51.06/33.73 (~m_main_v_CMD(s8, c_response)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[16053, 10097, 26250])).
% 51.06/33.73 tff(26252,plain,
% 51.06/33.73 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s8, c_response) | (~node3(s8)) | (~m_processor_v_CMD(c_p1, s8, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s8, c_response) | (~node3(s8)) | (~m_processor_v_CMD(c_p1, s8, c_response)))),
% 51.06/33.73 inference(rewrite,[status(thm)],[])).
% 51.06/33.73 tff(26253,plain,
% 51.06/33.73 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s8, c_response) | (~node3(s8)) | (~m_processor_v_CMD(c_p1, s8, c_response)))),
% 51.06/33.73 inference(quant_inst,[status(thm)],[])).
% 51.06/33.73 tff(26254,plain,
% 51.06/33.73 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s8, c_response) | (~node3(s8)) | (~m_processor_v_CMD(c_p1, s8, c_response))),
% 51.06/33.73 inference(modus_ponens,[status(thm)],[26253, 26252])).
% 51.06/33.73 tff(26255,plain,
% 51.06/33.73 (~m_processor_v_CMD(c_p1, s8, c_response)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[26254, 1260, 6484, 26251])).
% 51.06/33.73 tff(26256,plain,
% 51.06/33.73 (~m_main_v_CMD(s8, c_write_h_resp_h_invalid)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[16068, 7663, 26250])).
% 51.06/33.73 tff(26257,assumption,(m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid)), introduced(assumption)).
% 51.06/33.73 tff(26258,plain,
% 51.06/33.73 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s8, c_write_h_resp_h_invalid) | (~node3(s8)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s8, c_write_h_resp_h_invalid) | (~node3(s8)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid)))),
% 51.06/33.73 inference(rewrite,[status(thm)],[])).
% 51.06/33.73 tff(26259,plain,
% 51.06/33.73 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s8, c_write_h_resp_h_invalid) | (~node3(s8)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid)))),
% 51.06/33.73 inference(quant_inst,[status(thm)],[])).
% 51.06/33.73 tff(26260,plain,
% 51.06/33.73 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s8, c_write_h_resp_h_invalid) | (~node3(s8)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid))),
% 51.06/33.73 inference(modus_ponens,[status(thm)],[26259, 26258])).
% 51.06/33.73 tff(26261,plain,
% 51.06/33.73 ($false),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[26260, 1260, 6484, 16143, 26257])).
% 51.06/33.73 tff(26262,plain,((~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid)) | m_main_v_CMD(s8, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.73 tff(26263,plain,
% 51.06/33.73 (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[26262, 26256])).
% 51.06/33.73 tff(26264,plain,
% 51.06/33.73 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node48(c_p1, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node48(c_p1, s8)))),
% 51.06/33.73 inference(rewrite,[status(thm)],[])).
% 51.06/33.73 tff(26265,plain,
% 51.06/33.73 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node48(c_p1, s8)))),
% 51.06/33.73 inference(quant_inst,[status(thm)],[])).
% 51.06/33.73 tff(26266,plain,
% 51.06/33.73 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p1, s8, c_read_h_owned) | (~node48(c_p1, s8))),
% 51.06/33.73 inference(modus_ponens,[status(thm)],[26265, 26264])).
% 51.06/33.73 tff(26267,plain,
% 51.06/33.73 (~node48(c_p1, s8)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[26266, 16883, 6297])).
% 51.06/33.73 tff(26268,plain,
% 51.06/33.73 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))) | ((~m_main_v_CMD(s8, c_idle)) | (~m_main_v_CMD(s8, c_read_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))) | (~m_main_v_CMD(s8, c_idle)) | (~m_main_v_CMD(s8, c_read_h_shared)))),
% 51.06/33.73 inference(rewrite,[status(thm)],[])).
% 51.06/33.73 tff(26269,plain,
% 51.06/33.73 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))) | ((~m_main_v_CMD(s8, c_idle)) | (~m_main_v_CMD(s8, c_read_h_shared)))),
% 51.06/33.73 inference(quant_inst,[status(thm)],[])).
% 51.06/33.73 tff(26270,plain,
% 51.06/33.73 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))) | (~m_main_v_CMD(s8, c_idle)) | (~m_main_v_CMD(s8, c_read_h_shared))),
% 51.06/33.73 inference(modus_ponens,[status(thm)],[26269, 26268])).
% 51.06/33.73 tff(26271,plain,
% 51.06/33.73 (~m_main_v_CMD(s8, c_idle)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[26270, 8277, 15809])).
% 51.06/33.73 tff(26272,plain,
% 51.06/33.73 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s8, c_read_h_shared)) | (~m_main_v_CMD(s8, c_write_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s8, c_read_h_shared)) | (~m_main_v_CMD(s8, c_write_h_invalid)))),
% 51.06/33.73 inference(rewrite,[status(thm)],[])).
% 51.06/33.73 tff(26273,plain,
% 51.06/33.73 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s8, c_read_h_shared)) | (~m_main_v_CMD(s8, c_write_h_invalid)))),
% 51.06/33.73 inference(quant_inst,[status(thm)],[])).
% 51.06/33.73 tff(26274,plain,
% 51.06/33.73 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s8, c_read_h_shared)) | (~m_main_v_CMD(s8, c_write_h_invalid))),
% 51.06/33.73 inference(modus_ponens,[status(thm)],[26273, 26272])).
% 51.06/33.73 tff(26275,plain,
% 51.06/33.73 (~m_main_v_CMD(s8, c_write_h_invalid)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[26274, 8958, 15809])).
% 51.06/33.73 tff(26276,plain,
% 51.06/33.73 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s8, c_read_h_shared)) | (~m_main_v_CMD(s8, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s8, c_read_h_shared)) | (~m_main_v_CMD(s8, c_write_h_resp_h_shared)))),
% 51.06/33.73 inference(rewrite,[status(thm)],[])).
% 51.06/33.73 tff(26277,plain,
% 51.06/33.73 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s8, c_read_h_shared)) | (~m_main_v_CMD(s8, c_write_h_resp_h_shared)))),
% 51.06/33.73 inference(quant_inst,[status(thm)],[])).
% 51.06/33.73 tff(26278,plain,
% 51.06/33.73 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s8, c_read_h_shared)) | (~m_main_v_CMD(s8, c_write_h_resp_h_shared))),
% 51.06/33.73 inference(modus_ponens,[status(thm)],[26277, 26276])).
% 51.06/33.73 tff(26279,plain,
% 51.06/33.73 (~m_main_v_CMD(s8, c_write_h_resp_h_shared)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[26278, 7902, 15809])).
% 51.06/33.73 tff(26280,plain,
% 51.06/33.73 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s8, c_read_h_shared)) | (~m_main_v_CMD(s8, c_write_h_resp_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s8, c_read_h_shared)) | (~m_main_v_CMD(s8, c_write_h_resp_h_invalid)))),
% 51.06/33.73 inference(rewrite,[status(thm)],[])).
% 51.06/33.73 tff(26281,plain,
% 51.06/33.73 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s8, c_read_h_shared)) | (~m_main_v_CMD(s8, c_write_h_resp_h_invalid)))),
% 51.06/33.73 inference(quant_inst,[status(thm)],[])).
% 51.06/33.73 tff(26282,plain,
% 51.06/33.73 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s8, c_read_h_shared)) | (~m_main_v_CMD(s8, c_write_h_resp_h_invalid))),
% 51.06/33.73 inference(modus_ponens,[status(thm)],[26281, 26280])).
% 51.06/33.73 tff(26283,plain,
% 51.06/33.73 (~m_main_v_CMD(s8, c_write_h_resp_h_invalid)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[26282, 7915, 15809])).
% 51.06/33.73 tff(26284,plain,
% 51.06/33.73 (~m_memory_v_cmd(c_m, s8, c_idle)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[16205, 26283, 14422, 16016, 26279, 26275, 26271])).
% 51.06/33.73 tff(26285,plain,
% 51.06/33.73 (node29(c_m, s8)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[15489, 26284])).
% 51.06/33.73 tff(26286,plain,
% 51.06/33.73 (m_memory_v_master(c_m, s8)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[15553, 26285])).
% 51.06/33.73 tff(26287,assumption,(~node17(s8)), introduced(assumption)).
% 51.06/33.73 tff(26288,assumption,(m_memory_v_master(c_m, s8)), introduced(assumption)).
% 51.06/33.73 tff(26289,plain,
% 51.06/33.73 ($false),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[15545, 1290, 26288, 26287])).
% 51.06/33.73 tff(26290,plain,(node17(s8) | (~m_memory_v_master(c_m, s8))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.73 tff(26291,plain,
% 51.06/33.73 (node17(s8)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[26290, 26286])).
% 51.06/33.73 tff(26292,plain,
% 51.06/33.73 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p0, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_read_h_shared)))),
% 51.06/33.73 inference(rewrite,[status(thm)],[])).
% 51.06/33.73 tff(26293,plain,
% 51.06/33.73 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p0, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_read_h_shared)))),
% 51.06/33.73 inference(quant_inst,[status(thm)],[])).
% 51.06/33.73 tff(26294,plain,
% 51.06/33.73 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_read_h_shared))),
% 51.06/33.73 inference(modus_ponens,[status(thm)],[26293, 26292])).
% 51.06/33.73 tff(26295,plain,
% 51.06/33.73 (~m_processor_v_cmd(c_p0, s8, c_read_h_shared)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[26294, 3200, 15798])).
% 51.06/33.73 tff(26296,plain,
% 51.06/33.73 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~node8(s8)) | m_processor_v_cmd(c_p0, s8, c_read_h_shared) | (~m_main_v_CMD(s8, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s8)) | m_processor_v_cmd(c_p0, s8, c_read_h_shared) | (~m_main_v_CMD(s8, c_read_h_shared)))),
% 51.06/33.73 inference(rewrite,[status(thm)],[])).
% 51.06/33.73 tff(26297,plain,
% 51.06/33.73 (((~m_main_v_CMD(s8, c_read_h_shared)) | (~node8(s8)) | m_processor_v_cmd(c_p0, s8, c_read_h_shared)) <=> ((~node8(s8)) | m_processor_v_cmd(c_p0, s8, c_read_h_shared) | (~m_main_v_CMD(s8, c_read_h_shared)))),
% 51.06/33.73 inference(rewrite,[status(thm)],[])).
% 51.06/33.73 tff(26298,plain,
% 51.06/33.73 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s8, c_read_h_shared)) | (~node8(s8)) | m_processor_v_cmd(c_p0, s8, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~node8(s8)) | m_processor_v_cmd(c_p0, s8, c_read_h_shared) | (~m_main_v_CMD(s8, c_read_h_shared))))),
% 51.06/33.73 inference(monotonicity,[status(thm)],[26297])).
% 51.06/33.73 tff(26299,plain,
% 51.06/33.73 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s8, c_read_h_shared)) | (~node8(s8)) | m_processor_v_cmd(c_p0, s8, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s8)) | m_processor_v_cmd(c_p0, s8, c_read_h_shared) | (~m_main_v_CMD(s8, c_read_h_shared)))),
% 51.06/33.73 inference(transitivity,[status(thm)],[26298, 26296])).
% 51.06/33.73 tff(26300,plain,
% 51.06/33.73 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s8, c_read_h_shared)) | (~node8(s8)) | m_processor_v_cmd(c_p0, s8, c_read_h_shared))),
% 51.06/33.73 inference(quant_inst,[status(thm)],[])).
% 51.06/33.73 tff(26301,plain,
% 51.06/33.73 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s8)) | m_processor_v_cmd(c_p0, s8, c_read_h_shared) | (~m_main_v_CMD(s8, c_read_h_shared))),
% 51.06/33.73 inference(modus_ponens,[status(thm)],[26300, 26299])).
% 51.06/33.73 tff(26302,plain,
% 51.06/33.73 ((~node8(s8)) | (~m_main_v_CMD(s8, c_read_h_shared))),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[26301, 2191, 26295])).
% 51.06/33.73 tff(26303,plain,
% 51.06/33.73 (~node8(s8)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[26302, 15809])).
% 51.06/33.73 tff(26304,plain,
% 51.06/33.73 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s8, c_read_h_shared)) | (~m_main_v_CMD(s8, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s8, c_read_h_shared)) | (~m_main_v_CMD(s8, c_response)))),
% 51.06/33.73 inference(rewrite,[status(thm)],[])).
% 51.06/33.73 tff(26305,plain,
% 51.06/33.73 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s8, c_read_h_shared)) | (~m_main_v_CMD(s8, c_response)))),
% 51.06/33.73 inference(quant_inst,[status(thm)],[])).
% 51.06/33.73 tff(26306,plain,
% 51.06/33.73 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s8, c_read_h_shared)) | (~m_main_v_CMD(s8, c_response))),
% 51.06/33.73 inference(modus_ponens,[status(thm)],[26305, 26304])).
% 51.06/33.73 tff(26307,plain,
% 51.06/33.73 (~m_main_v_CMD(s8, c_response)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[26306, 8266, 15809])).
% 51.06/33.73 tff(26308,assumption,(~m_main_v_CMD(s8, c_response)), introduced(assumption)).
% 51.06/33.73 tff(26309,assumption,(m_processor_v_cmd(c_p2, s8, c_idle)), introduced(assumption)).
% 51.06/33.73 tff(26310,assumption,(~node8(s8)), introduced(assumption)).
% 51.06/33.73 tff(26311,plain,
% 51.06/33.73 ((~m_processor_v_cmd(c_p2, s8, c_idle)) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | (~m_memory_v_cmd(c_m, s8, c_idle))),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[15646, 1593, 26310])).
% 51.06/33.73 tff(26312,plain,
% 51.06/33.73 (~m_memory_v_cmd(c_m, s8, c_idle)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[26311, 26309, 16016])).
% 51.06/33.73 tff(26313,plain,
% 51.06/33.73 (((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | ((~node9(s8)) | m_memory_v_cmd(c_m, s8, c_idle))) <=> ((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | (~node9(s8)) | m_memory_v_cmd(c_m, s8, c_idle))),
% 51.06/33.73 inference(rewrite,[status(thm)],[])).
% 51.06/33.73 tff(26314,plain,
% 51.06/33.73 ((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | ((~node9(s8)) | m_memory_v_cmd(c_m, s8, c_idle))),
% 51.06/33.73 inference(quant_inst,[status(thm)],[])).
% 51.06/33.73 tff(26315,plain,
% 51.06/33.73 ((~![X: $i] : ((~node9(X)) | m_memory_v_cmd(c_m, X, c_idle))) | (~node9(s8)) | m_memory_v_cmd(c_m, s8, c_idle)),
% 51.06/33.73 inference(modus_ponens,[status(thm)],[26314, 26313])).
% 51.06/33.73 tff(26316,plain,
% 51.06/33.73 (~node9(s8)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[26315, 2000, 15484])).
% 51.06/33.73 tff(26317,assumption,(~node13(s8)), introduced(assumption)).
% 51.06/33.73 tff(26318,plain,
% 51.06/33.73 (((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | (m_memory_v_cmd(c_m, s8, c_idle) | (~node11(s8)))) <=> ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | m_memory_v_cmd(c_m, s8, c_idle) | (~node11(s8)))),
% 51.06/33.73 inference(rewrite,[status(thm)],[])).
% 51.06/33.73 tff(26319,plain,
% 51.06/33.73 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | (m_memory_v_cmd(c_m, s8, c_idle) | (~node11(s8)))),
% 51.06/33.73 inference(quant_inst,[status(thm)],[])).
% 51.06/33.73 tff(26320,plain,
% 51.06/33.73 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node11(X)))) | m_memory_v_cmd(c_m, s8, c_idle) | (~node11(s8))),
% 51.06/33.73 inference(modus_ponens,[status(thm)],[26319, 26318])).
% 51.06/33.73 tff(26321,plain,
% 51.06/33.73 (~node11(s8)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[26320, 2031, 15484])).
% 51.06/33.73 tff(26322,plain,
% 51.06/33.73 (((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s8) | node11(s8) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | node13(s8) | node14(s8) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s8) | node11(s8) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | node13(s8) | node14(s8) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle)))),
% 51.06/33.73 inference(rewrite,[status(thm)],[])).
% 51.06/33.73 tff(26323,plain,
% 51.06/33.73 ((node9(s8) | node11(s8) | node13(s8) | node14(s8) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle))) <=> (node9(s8) | node11(s8) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | node13(s8) | node14(s8) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle)))),
% 51.06/33.73 inference(rewrite,[status(thm)],[])).
% 51.06/33.73 tff(26324,plain,
% 51.06/33.73 (((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s8) | node11(s8) | node13(s8) | node14(s8) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s8) | node11(s8) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | node13(s8) | node14(s8) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle))))),
% 51.06/33.73 inference(monotonicity,[status(thm)],[26323])).
% 51.06/33.73 tff(26325,plain,
% 51.06/33.73 (((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s8) | node11(s8) | node13(s8) | node14(s8) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle)))) <=> ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s8) | node11(s8) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | node13(s8) | node14(s8) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle)))),
% 51.06/33.73 inference(transitivity,[status(thm)],[26324, 26322])).
% 51.06/33.73 tff(26326,plain,
% 51.06/33.73 ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | (node9(s8) | node11(s8) | node13(s8) | node14(s8) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle)))),
% 51.06/33.73 inference(quant_inst,[status(thm)],[])).
% 51.06/33.73 tff(26327,plain,
% 51.06/33.73 ((~![X: $i] : (node9(X) | node11(X) | node13(X) | node14(X) | (~m_processor_v_cmd(c_p2, X, c_idle)) | (~m_processor_v_cmd(c_p1, X, c_idle)) | (~m_processor_v_cmd(c_p0, X, c_idle)))) | node9(s8) | node11(s8) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | node13(s8) | node14(s8) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | (~m_processor_v_cmd(c_p0, s8, c_idle))),
% 51.06/33.73 inference(modus_ponens,[status(thm)],[26326, 26325])).
% 51.06/33.73 tff(26328,plain,
% 51.06/33.73 (node9(s8) | node11(s8) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | node13(s8) | node14(s8) | (~m_processor_v_cmd(c_p0, s8, c_idle))),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[26327, 2014, 16016])).
% 51.06/33.73 tff(26329,plain,
% 51.06/33.73 (node14(s8)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[26328, 26321, 15798, 26309, 26317, 26316])).
% 51.06/33.73 tff(26330,plain,
% 51.06/33.73 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s8, c_response) | (~m_memory_v_cmd(c_m, s8, c_response)) | (~node14(s8)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | m_main_v_CMD(s8, c_response) | (~m_memory_v_cmd(c_m, s8, c_response)) | (~node14(s8)))),
% 51.06/33.73 inference(rewrite,[status(thm)],[])).
% 51.06/33.73 tff(26331,plain,
% 51.06/33.73 ((m_main_v_CMD(s8, c_response) | (~node14(s8)) | (~m_memory_v_cmd(c_m, s8, c_response))) <=> (m_main_v_CMD(s8, c_response) | (~m_memory_v_cmd(c_m, s8, c_response)) | (~node14(s8)))),
% 51.06/33.73 inference(rewrite,[status(thm)],[])).
% 51.06/33.73 tff(26332,plain,
% 51.06/33.73 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s8, c_response) | (~node14(s8)) | (~m_memory_v_cmd(c_m, s8, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s8, c_response) | (~m_memory_v_cmd(c_m, s8, c_response)) | (~node14(s8))))),
% 51.06/33.73 inference(monotonicity,[status(thm)],[26331])).
% 51.06/33.73 tff(26333,plain,
% 51.06/33.73 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s8, c_response) | (~node14(s8)) | (~m_memory_v_cmd(c_m, s8, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | m_main_v_CMD(s8, c_response) | (~m_memory_v_cmd(c_m, s8, c_response)) | (~node14(s8)))),
% 51.06/33.73 inference(transitivity,[status(thm)],[26332, 26330])).
% 51.06/33.73 tff(26334,plain,
% 51.06/33.73 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | (m_main_v_CMD(s8, c_response) | (~node14(s8)) | (~m_memory_v_cmd(c_m, s8, c_response)))),
% 51.06/33.73 inference(quant_inst,[status(thm)],[])).
% 51.06/33.73 tff(26335,plain,
% 51.06/33.73 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node14(X)) | (~m_memory_v_cmd(c_m, X, V)))) | m_main_v_CMD(s8, c_response) | (~m_memory_v_cmd(c_m, s8, c_response)) | (~node14(s8))),
% 51.06/33.73 inference(modus_ponens,[status(thm)],[26334, 26333])).
% 51.06/33.73 tff(26336,plain,
% 51.06/33.73 ((~m_memory_v_cmd(c_m, s8, c_response)) | (~node14(s8))),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[26335, 8342, 26308])).
% 51.06/33.73 tff(26337,plain,
% 51.06/33.73 (~m_memory_v_cmd(c_m, s8, c_response)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[26336, 26329])).
% 51.06/33.73 tff(26338,plain,
% 51.06/33.73 (node29(c_m, s8)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[15487, 1320, 15484])).
% 51.06/33.73 tff(26339,plain,
% 51.06/33.73 (m_memory_v_master(c_m, s8)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[15551, 1305, 26338])).
% 51.06/33.73 tff(26340,plain,
% 51.06/33.73 (m_memory_v_busy(c_m, s8)),
% 51.06/33.73 inference(unit_resolution,[status(thm)],[15481, 2072, 26338])).
% 51.06/33.73 tff(26341,plain,
% 51.06/33.73 (((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s8, c_idle) | (~m_memory_v_busy(c_m, s8)) | (~m_memory_v_master(c_m, s8)) | m_memory_v_cmd(c_m, s8, c_response))) <=> ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | m_memory_v_cmd(c_m, s8, c_idle) | (~m_memory_v_busy(c_m, s8)) | (~m_memory_v_master(c_m, s8)) | m_memory_v_cmd(c_m, s8, c_response))),
% 51.06/33.73 inference(rewrite,[status(thm)],[])).
% 51.06/33.73 tff(26342,plain,
% 51.06/33.73 ((m_memory_v_cmd(c_m, s8, c_response) | m_memory_v_cmd(c_m, s8, c_idle) | (~m_memory_v_busy(c_m, s8)) | (~m_memory_v_master(c_m, s8))) <=> (m_memory_v_cmd(c_m, s8, c_idle) | (~m_memory_v_busy(c_m, s8)) | (~m_memory_v_master(c_m, s8)) | m_memory_v_cmd(c_m, s8, c_response))),
% 51.06/33.73 inference(rewrite,[status(thm)],[])).
% 51.06/33.73 tff(26343,plain,
% 51.06/33.73 (((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s8, c_response) | m_memory_v_cmd(c_m, s8, c_idle) | (~m_memory_v_busy(c_m, s8)) | (~m_memory_v_master(c_m, s8)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s8, c_idle) | (~m_memory_v_busy(c_m, s8)) | (~m_memory_v_master(c_m, s8)) | m_memory_v_cmd(c_m, s8, c_response)))),
% 51.06/33.73 inference(monotonicity,[status(thm)],[26342])).
% 51.06/33.73 tff(26344,plain,
% 51.06/33.73 (((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s8, c_response) | m_memory_v_cmd(c_m, s8, c_idle) | (~m_memory_v_busy(c_m, s8)) | (~m_memory_v_master(c_m, s8)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | m_memory_v_cmd(c_m, s8, c_idle) | (~m_memory_v_busy(c_m, s8)) | (~m_memory_v_master(c_m, s8)) | m_memory_v_cmd(c_m, s8, c_response))),
% 51.06/33.74 inference(transitivity,[status(thm)],[26343, 26341])).
% 51.06/33.74 tff(26345,plain,
% 51.06/33.74 ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | (m_memory_v_cmd(c_m, s8, c_response) | m_memory_v_cmd(c_m, s8, c_idle) | (~m_memory_v_busy(c_m, s8)) | (~m_memory_v_master(c_m, s8)))),
% 51.06/33.74 inference(quant_inst,[status(thm)],[])).
% 51.06/33.74 tff(26346,plain,
% 51.06/33.74 ((~![I0: $i, X: $i] : (m_memory_v_cmd(I0, X, c_response) | m_memory_v_cmd(I0, X, c_idle) | (~m_memory_v_busy(I0, X)) | (~m_memory_v_master(I0, X)))) | m_memory_v_cmd(c_m, s8, c_idle) | (~m_memory_v_busy(c_m, s8)) | (~m_memory_v_master(c_m, s8)) | m_memory_v_cmd(c_m, s8, c_response)),
% 51.06/33.74 inference(modus_ponens,[status(thm)],[26345, 26344])).
% 51.06/33.74 tff(26347,plain,
% 51.06/33.74 ((~m_memory_v_busy(c_m, s8)) | (~m_memory_v_master(c_m, s8)) | m_memory_v_cmd(c_m, s8, c_response)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26346, 2089, 15484])).
% 51.06/33.74 tff(26348,plain,
% 51.06/33.74 ($false),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26347, 26340, 26339, 26337])).
% 51.06/33.74 tff(26349,plain,(m_memory_v_cmd(c_m, s8, c_idle) | m_main_v_CMD(s8, c_response) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | (~m_processor_v_cmd(c_p2, s8, c_idle)) | node13(s8) | (~m_processor_v_cmd(c_p1, s8, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.74 tff(26350,plain,
% 51.06/33.74 (node13(s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26349, 15484, 15798, 16016, 26308, 26309])).
% 51.06/33.74 tff(26351,plain,
% 51.06/33.74 (((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | (m_memory_v_cmd(c_m, s8, c_idle) | (~node13(s8)))) <=> ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | m_memory_v_cmd(c_m, s8, c_idle) | (~node13(s8)))),
% 51.06/33.74 inference(rewrite,[status(thm)],[])).
% 51.06/33.74 tff(26352,plain,
% 51.06/33.74 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | (m_memory_v_cmd(c_m, s8, c_idle) | (~node13(s8)))),
% 51.06/33.74 inference(quant_inst,[status(thm)],[])).
% 51.06/33.74 tff(26353,plain,
% 51.06/33.74 ((~![X: $i] : (m_memory_v_cmd(c_m, X, c_idle) | (~node13(X)))) | m_memory_v_cmd(c_m, s8, c_idle) | (~node13(s8))),
% 51.06/33.74 inference(modus_ponens,[status(thm)],[26352, 26351])).
% 51.06/33.74 tff(26354,plain,
% 51.06/33.74 ($false),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26353, 1986, 15484, 26350])).
% 51.06/33.74 tff(26355,plain,(m_memory_v_cmd(c_m, s8, c_idle) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | m_main_v_CMD(s8, c_response) | (~m_processor_v_cmd(c_p2, s8, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.74 tff(26356,plain,
% 51.06/33.74 ($false),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26355, 26312, 26309, 26308, 15798, 16016])).
% 51.06/33.74 tff(26357,plain,((~m_processor_v_cmd(c_p2, s8, c_idle)) | m_main_v_CMD(s8, c_response) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | (~m_processor_v_cmd(c_p1, s8, c_idle)) | node8(s8)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.74 tff(26358,plain,
% 51.06/33.74 (~m_processor_v_cmd(c_p2, s8, c_idle)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26357, 26307, 15798, 16016, 26303])).
% 51.06/33.74 tff(26359,plain,
% 51.06/33.74 (m_processor_v_master(c_p2, s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15601, 26358])).
% 51.06/33.74 tff(26360,plain,
% 51.06/33.74 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~node17(s8)) | (~m_processor_v_master(c_p2, s8)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s8)) | (~m_processor_v_master(c_p2, s8)))),
% 51.06/33.74 inference(rewrite,[status(thm)],[])).
% 51.06/33.74 tff(26361,plain,
% 51.06/33.74 (((~m_processor_v_master(c_p2, s8)) | (~node17(s8))) <=> ((~node17(s8)) | (~m_processor_v_master(c_p2, s8)))),
% 51.06/33.74 inference(rewrite,[status(thm)],[])).
% 51.06/33.74 tff(26362,plain,
% 51.06/33.74 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s8)) | (~node17(s8)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~node17(s8)) | (~m_processor_v_master(c_p2, s8))))),
% 51.06/33.74 inference(monotonicity,[status(thm)],[26361])).
% 51.06/33.74 tff(26363,plain,
% 51.06/33.74 (((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s8)) | (~node17(s8)))) <=> ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s8)) | (~m_processor_v_master(c_p2, s8)))),
% 51.06/33.74 inference(transitivity,[status(thm)],[26362, 26360])).
% 51.06/33.74 tff(26364,plain,
% 51.06/33.74 ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | ((~m_processor_v_master(c_p2, s8)) | (~node17(s8)))),
% 51.06/33.74 inference(quant_inst,[status(thm)],[])).
% 51.06/33.74 tff(26365,plain,
% 51.06/33.74 ((~![X: $i] : ((~m_processor_v_master(c_p2, X)) | (~node17(X)))) | (~node17(s8)) | (~m_processor_v_master(c_p2, s8))),
% 51.06/33.74 inference(modus_ponens,[status(thm)],[26364, 26363])).
% 51.06/33.74 tff(26366,plain,
% 51.06/33.74 ($false),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26365, 2106, 26359, 26291])).
% 51.06/33.74 tff(26367,plain,((~m_processor_v_cmd(c_p1, s8, c_idle)) | (~m_processor_v_state(c_p0, s8, c_owned)) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | (~m_main_v_CMD(s8, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.74 tff(26368,plain,
% 51.06/33.74 (~m_main_v_CMD(s8, c_read_h_shared)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26367, 26249, 14422, 15798])).
% 51.06/33.74 tff(26369,plain,
% 51.06/33.74 (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[6511, 26368])).
% 51.06/33.74 tff(26370,plain,
% 51.06/33.74 (~node47(c_p1, s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[6515, 657, 26369])).
% 51.06/33.74 tff(26371,assumption,(~node52(c_p1, s8, s9)), introduced(assumption)).
% 51.06/33.74 tff(26372,plain,
% 51.06/33.74 (~m_main_v_CMD(s8, c_write_h_resp_h_shared)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[16039, 7650, 26250])).
% 51.06/33.74 tff(26373,plain,
% 51.06/33.74 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s8, c_write_h_resp_h_shared) | (~node3(s8)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s8, c_write_h_resp_h_shared) | (~node3(s8)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared)))),
% 51.06/33.74 inference(rewrite,[status(thm)],[])).
% 51.06/33.74 tff(26374,plain,
% 51.06/33.74 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s8, c_write_h_resp_h_shared) | (~node3(s8)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared)))),
% 51.06/33.74 inference(quant_inst,[status(thm)],[])).
% 51.06/33.74 tff(26375,plain,
% 51.06/33.74 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s8, c_write_h_resp_h_shared) | (~node3(s8)) | (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared))),
% 51.06/33.74 inference(modus_ponens,[status(thm)],[26374, 26373])).
% 51.06/33.74 tff(26376,plain,
% 51.06/33.74 (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26375, 1260, 6484, 26372])).
% 51.06/33.74 tff(26377,assumption,(~node49(c_p1, s8)), introduced(assumption)).
% 51.06/33.74 tff(26378,assumption,(~node48(c_p1, s8)), introduced(assumption)).
% 51.06/33.74 tff(26379,plain,
% 51.06/33.74 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared) | (~node51(c_p1, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared) | (~node51(c_p1, s8)))),
% 51.06/33.74 inference(rewrite,[status(thm)],[])).
% 51.06/33.74 tff(26380,plain,
% 51.06/33.74 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared) | (~node51(c_p1, s8)))),
% 51.06/33.74 inference(quant_inst,[status(thm)],[])).
% 51.06/33.74 tff(26381,plain,
% 51.06/33.74 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared) | (~node51(c_p1, s8))),
% 51.06/33.74 inference(modus_ponens,[status(thm)],[26380, 26379])).
% 51.06/33.74 tff(26382,plain,
% 51.06/33.74 (~node51(c_p1, s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26381, 11549, 15864])).
% 51.06/33.74 tff(26383,plain,
% 51.06/33.74 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | (~node50(c_p1, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | (~node50(c_p1, s8)))),
% 51.06/33.74 inference(rewrite,[status(thm)],[])).
% 51.06/33.74 tff(26384,plain,
% 51.06/33.74 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | (~node50(c_p1, s8)))),
% 51.06/33.74 inference(quant_inst,[status(thm)],[])).
% 51.06/33.74 tff(26385,plain,
% 51.06/33.74 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | (~node50(c_p1, s8))),
% 51.06/33.74 inference(modus_ponens,[status(thm)],[26384, 26383])).
% 51.06/33.74 tff(26386,plain,
% 51.06/33.74 (~node50(c_p1, s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26385, 11598, 15906])).
% 51.06/33.74 tff(26387,plain,
% 51.06/33.74 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s8) | node48(c_p1, s8) | node47(c_p1, s8) | node50(c_p1, s8) | node51(c_p1, s8) | node49(c_p1, s8) | (~node53(c_p1, s8, s9)) | node52(c_p1, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p1, s8) | node48(c_p1, s8) | node47(c_p1, s8) | node50(c_p1, s8) | node51(c_p1, s8) | node49(c_p1, s8) | (~node53(c_p1, s8, s9)) | node52(c_p1, s8, s9))),
% 51.06/33.74 inference(rewrite,[status(thm)],[])).
% 51.06/33.74 tff(26388,plain,
% 51.06/33.74 ((m_processor_v_abort(c_p1, s8) | node47(c_p1, s8) | node48(c_p1, s8) | node49(c_p1, s8) | node50(c_p1, s8) | node51(c_p1, s8) | node52(c_p1, s8, s9) | (~node53(c_p1, s8, s9))) <=> (m_processor_v_abort(c_p1, s8) | node48(c_p1, s8) | node47(c_p1, s8) | node50(c_p1, s8) | node51(c_p1, s8) | node49(c_p1, s8) | (~node53(c_p1, s8, s9)) | node52(c_p1, s8, s9))),
% 51.06/33.74 inference(rewrite,[status(thm)],[])).
% 51.06/33.74 tff(26389,plain,
% 51.06/33.74 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s8) | node47(c_p1, s8) | node48(c_p1, s8) | node49(c_p1, s8) | node50(c_p1, s8) | node51(c_p1, s8) | node52(c_p1, s8, s9) | (~node53(c_p1, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s8) | node48(c_p1, s8) | node47(c_p1, s8) | node50(c_p1, s8) | node51(c_p1, s8) | node49(c_p1, s8) | (~node53(c_p1, s8, s9)) | node52(c_p1, s8, s9)))),
% 51.06/33.74 inference(monotonicity,[status(thm)],[26388])).
% 51.06/33.74 tff(26390,plain,
% 51.06/33.74 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s8) | node47(c_p1, s8) | node48(c_p1, s8) | node49(c_p1, s8) | node50(c_p1, s8) | node51(c_p1, s8) | node52(c_p1, s8, s9) | (~node53(c_p1, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p1, s8) | node48(c_p1, s8) | node47(c_p1, s8) | node50(c_p1, s8) | node51(c_p1, s8) | node49(c_p1, s8) | (~node53(c_p1, s8, s9)) | node52(c_p1, s8, s9))),
% 51.06/33.74 inference(transitivity,[status(thm)],[26389, 26387])).
% 51.06/33.74 tff(26391,plain,
% 51.06/33.74 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s8) | node47(c_p1, s8) | node48(c_p1, s8) | node49(c_p1, s8) | node50(c_p1, s8) | node51(c_p1, s8) | node52(c_p1, s8, s9) | (~node53(c_p1, s8, s9)))),
% 51.06/33.74 inference(quant_inst,[status(thm)],[])).
% 51.06/33.74 tff(26392,plain,
% 51.06/33.74 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p1, s8) | node48(c_p1, s8) | node47(c_p1, s8) | node50(c_p1, s8) | node51(c_p1, s8) | node49(c_p1, s8) | (~node53(c_p1, s8, s9)) | node52(c_p1, s8, s9)),
% 51.06/33.74 inference(modus_ponens,[status(thm)],[26391, 26390])).
% 51.06/33.74 tff(26393,plain,
% 51.06/33.74 (m_processor_v_abort(c_p1, s8) | node48(c_p1, s8) | node47(c_p1, s8) | node50(c_p1, s8) | node51(c_p1, s8) | node49(c_p1, s8) | node52(c_p1, s8, s9)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26392, 11612, 6531])).
% 51.06/33.74 tff(26394,plain,
% 51.06/33.74 ($false),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26393, 26386, 26382, 26378, 6414, 16134, 26371, 26377])).
% 51.06/33.74 tff(26395,plain,(m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid) | node48(c_p1, s8) | m_processor_v_abort(c_p1, s8) | node47(c_p1, s8) | node52(c_p1, s8, s9) | node49(c_p1, s8) | m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.74 tff(26396,plain,
% 51.06/33.74 (node49(c_p1, s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26395, 26376, 26371, 6414, 26370, 26267, 26263])).
% 51.06/33.74 tff(26397,plain,
% 51.06/33.74 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p1, s8, c_response) | (~node49(c_p1, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | m_processor_v_CMD(c_p1, s8, c_response) | (~node49(c_p1, s8)))),
% 51.06/33.74 inference(rewrite,[status(thm)],[])).
% 51.06/33.74 tff(26398,plain,
% 51.06/33.74 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p1, s8, c_response) | (~node49(c_p1, s8)))),
% 51.06/33.74 inference(quant_inst,[status(thm)],[])).
% 51.06/33.74 tff(26399,plain,
% 51.06/33.74 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | m_processor_v_CMD(c_p1, s8, c_response) | (~node49(c_p1, s8))),
% 51.06/33.74 inference(modus_ponens,[status(thm)],[26398, 26397])).
% 51.06/33.74 tff(26400,plain,
% 51.06/33.74 ($false),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26399, 11579, 26396, 26255])).
% 51.06/33.74 tff(26401,plain,(m_processor_v_CMD(c_p1, s8, c_read_h_owned) | node52(c_p1, s8, s9) | m_processor_v_abort(c_p1, s8) | (~m_processor_v_cmd(c_p0, s8, c_idle)) | (~m_memory_v_cmd(c_m, s8, c_idle)) | (~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_shared) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_waiting(c_p1, s9)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.74 tff(26402,plain,
% 51.06/33.74 (~m_processor_v_cmd(c_p0, s8, c_idle)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26401, 26248, 26194, 26220, 26210, 14422, 6289, 13022, 6288, 6290])).
% 51.06/33.74 tff(26403,plain,
% 51.06/33.74 (m_processor_v_master(c_p0, s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[16130, 26402])).
% 51.06/33.74 tff(26404,plain,
% 51.06/33.74 (m_processor_v_CMD(c_p0, s8, c_read_h_owned)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15747, 15530, 14838, 14780, 14422, 14814])).
% 51.06/33.74 tff(26405,plain,
% 51.06/33.74 ($false),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[18101, 26404, 15530, 14814, 14758])).
% 51.06/33.74 tff(26406,plain,((~m_processor_v_master(c_p0, s8)) | m_processor_v_abort(c_p0, s8) | m_processor_v_waiting(c_p0, s9) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_state(c_p0, s9, c_invalid) | (~m_processor_v_state(c_p0, s8, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.74 tff(26407,plain,
% 51.06/33.74 (m_processor_v_abort(c_p0, s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26406, 26403, 14758, 14838, 14780, 14422])).
% 51.06/33.74 tff(26408,plain,
% 51.06/33.74 (m_processor_v_CMD(c_p0, s8, c_read_h_owned)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15129, 26407, 26195])).
% 51.06/33.74 tff(26409,plain,
% 51.06/33.74 (~m_main_v_CMD(s8, c_read_h_owned)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15519, 26248])).
% 51.06/33.74 tff(26410,plain,
% 51.06/33.74 ($false),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15523, 1612, 15085, 26409, 26408])).
% 51.06/33.74 tff(26411,plain,(m_processor_v_master(c_p1, s6) | m_processor_v_waiting(c_p0, s9) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_state(c_p0, s9, c_invalid) | (~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_shared) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_waiting(c_p1, s9) | (~m_memory_v_REPLY_h_OWNED(c_m, s7)) | m_processor_v_state(c_p1, s6, c_shared) | (~m_processor_v_state(c_p1, s6, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.74 tff(26412,plain,
% 51.06/33.74 (m_processor_v_master(c_p1, s6)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26411, 26144, 26161, 26160, 26142, 26159, 26158, 26154, 26152, 26149, 1, 13439])).
% 51.06/33.74 tff(26413,plain,
% 51.06/33.74 (~m_processor_v_master(c_p0, s6)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[16318, 26412])).
% 51.06/33.74 tff(26414,plain,
% 51.06/33.74 (m_processor_v_waiting(c_p0, s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[2570, 18130, 5])).
% 51.06/33.74 tff(26415,plain,
% 51.06/33.74 (m_processor_v_state(c_p1, s7, c_invalid)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[24966, 18132, 5])).
% 51.06/33.74 tff(26416,plain,
% 51.06/33.74 (~node32(c_p1, s7, s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[24167, 26415, 13057])).
% 51.06/33.74 tff(26417,plain,
% 51.06/33.74 (~m_processor_v_abort(c_p1, s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[13049, 26416])).
% 51.06/33.74 tff(26418,plain,
% 51.06/33.74 (node60(c_p1, s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[24175, 26417])).
% 51.06/33.74 tff(26419,plain,
% 51.06/33.74 (~m_processor_v_abort(c_p0, s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[25814, 26418])).
% 51.06/33.74 tff(26420,plain,
% 51.06/33.74 (node60(c_p0, s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15422, 26419])).
% 51.06/33.74 tff(26421,plain,
% 51.06/33.74 (~m_processor_v_state(c_p1, s7, c_owned)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[13463, 18132, 106, 1])).
% 51.06/33.74 tff(26422,plain,
% 51.06/33.74 (m_processor_v_master(c_p1, s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[13152, 26421, 13022])).
% 51.06/33.74 tff(26423,plain,
% 51.06/33.74 (node34(c_p1, s7, s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[23515, 26422, 26417])).
% 51.06/33.74 tff(26424,plain,
% 51.06/33.74 (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[24009, 26423, 15882])).
% 51.06/33.74 tff(26425,plain,
% 51.06/33.74 (~m_main_v_CMD(s7, c_read_h_shared)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[13186, 26424])).
% 51.06/33.74 tff(26426,plain,
% 51.06/33.74 (m_main_v_CMD(s7, c_read_h_owned)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[13374, 26425, 26421, 26422])).
% 51.06/33.74 tff(26427,plain,
% 51.06/33.74 (m_processor_v_CMD(c_p0, s7, c_read_h_owned)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[14680, 26426])).
% 51.06/33.74 tff(26428,plain,
% 51.06/33.74 (~node59(c_p0, s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[24382, 26427])).
% 51.06/33.74 tff(26429,plain,
% 51.06/33.74 (~m_processor_v_REPLY_h_WAITING(c_p0, s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[23500, 26428, 26420])).
% 51.06/33.74 tff(26430,plain,
% 51.06/33.74 (~m_main_v_REPLY_h_WAITING(s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[23489, 26429])).
% 51.06/33.74 tff(26431,plain,
% 51.06/33.74 (node6(s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[23481, 26430])).
% 51.06/33.74 tff(26432,plain,
% 51.06/33.74 (~m_processor_v_reply_h_waiting(c_p0, s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[23473, 26431])).
% 51.06/33.74 tff(26433,plain,
% 51.06/33.74 ($false),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[23465, 2296, 55, 26432, 26414])).
% 51.06/33.74 tff(26434,plain,(m_processor_v_master(c_p0, s7) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s6, c_owned) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_state(c_p0, s9, c_owned)) | m_processor_v_waiting(c_p0, s9)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.74 tff(26435,plain,
% 51.06/33.74 (m_processor_v_master(c_p0, s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26434, 5, 25741, 1, 13022, 14759, 14758])).
% 51.06/33.74 tff(26436,plain,
% 51.06/33.74 (~m_processor_v_master(c_p1, s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[13229, 794, 26435])).
% 51.06/33.74 tff(26437,plain,
% 51.06/33.74 (m_processor_v_state(c_p1, s7, c_owned)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[13152, 26436, 13022])).
% 51.06/33.74 tff(26438,plain,
% 51.06/33.74 (~m_processor_v_state(c_p1, s7, c_invalid)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[13403, 137, 26437])).
% 51.06/33.74 tff(26439,plain,
% 51.06/33.74 (~node32(c_p1, s6, s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[13447, 26438, 13439])).
% 51.06/33.74 tff(26440,plain,
% 51.06/33.74 (~m_processor_v_abort(c_p1, s6)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[13472, 26439])).
% 51.06/33.74 tff(26441,plain,
% 51.06/33.74 (node60(c_p1, s6)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[18324, 26440])).
% 51.06/33.74 tff(26442,plain,
% 51.06/33.74 (m_processor_v_master(c_p1, s6)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[13463, 26437, 25741, 1])).
% 51.06/33.74 tff(26443,plain,
% 51.06/33.74 (~m_processor_v_state(c_p1, s7, c_shared)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[13520, 26437])).
% 51.06/33.74 tff(26444,plain,
% 51.06/33.74 (m_main_v_CMD(s6, c_read_h_owned)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[25526, 26438, 13439, 26443, 26442])).
% 51.06/33.74 tff(26445,plain,
% 51.06/33.74 (m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[16254, 26444])).
% 51.06/33.74 tff(26446,plain,
% 51.06/33.74 (~node59(c_p1, s6)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[18342, 26445])).
% 51.06/33.74 tff(26447,plain,
% 51.06/33.74 (~m_processor_v_master(c_p0, s6)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[16318, 26442])).
% 51.06/33.74 tff(26448,plain,
% 51.06/33.74 (~m_processor_v_state(c_p0, s7, c_owned)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[2437, 26447, 5])).
% 51.06/33.74 tff(26449,plain,
% 51.06/33.74 (~m_processor_v_state(c_p0, s7, c_invalid)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[16223, 26448, 6289, 13022, 14758, 6288, 14759, 6290, 26437])).
% 51.06/33.74 tff(26450,plain,
% 51.06/33.74 (~m_processor_v_state(c_p0, s6, c_invalid)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[2434, 26449, 26447])).
% 51.06/33.74 tff(26451,plain,
% 51.06/33.74 (m_processor_v_state(c_p0, s6, c_shared)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[819, 26450, 5])).
% 51.06/33.74 tff(26452,plain,
% 51.06/33.74 (m_processor_v_CMD(c_p0, s6, c_read_h_owned)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[14394, 26444])).
% 51.06/33.74 tff(26453,assumption,(node35(c_p0, s6)), introduced(assumption)).
% 51.06/33.74 tff(26454,plain,
% 51.06/33.74 ($false),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[2373, 316, 26453, 14396])).
% 51.06/33.74 tff(26455,plain,((~node35(c_p0, s6)) | (~m_processor_v_CMD(c_p0, s6, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.74 tff(26456,plain,
% 51.06/33.74 (~node35(c_p0, s6)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26455, 26452])).
% 51.06/33.74 tff(26457,plain,
% 51.06/33.74 (m_processor_v_abort(c_p0, s6)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[2365, 26456, 26447, 26449, 26451])).
% 51.06/33.74 tff(26458,plain,
% 51.06/33.74 ($false),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[25955, 26457, 26446, 26441])).
% 51.06/33.74 tff(26459,plain,(m_processor_v_state(c_p0, s6, c_owned) | (~m_processor_v_state(c_p1, s6, c_invalid)) | m_processor_v_state(c_p1, s9, c_shared) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_waiting(c_p0, s9) | m_processor_v_state(c_p1, s9, c_invalid) | (~m_processor_v_state(c_p0, s9, c_owned)) | m_processor_v_waiting(c_p1, s9) | m_processor_v_state(c_p1, s6, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.74 tff(26460,plain,
% 51.06/33.74 (m_processor_v_state(c_p0, s6, c_owned)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26459, 13439, 26159, 26158, 26142, 26154, 26143, 26152, 1])).
% 51.06/33.74 tff(26461,plain,
% 51.06/33.74 (m_processor_v_master(c_p0, s6) | m_processor_v_reply_h_owned(c_p0, s6)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[25481, 10170, 26460])).
% 51.06/33.74 tff(26462,plain,
% 51.06/33.74 (m_processor_v_reply_h_owned(c_p0, s6)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26461, 26413])).
% 51.06/33.74 tff(26463,plain,
% 51.06/33.74 (~node5(s6)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[25489, 26462])).
% 51.06/33.74 tff(26464,plain,
% 51.06/33.74 (m_main_v_REPLY_h_OWNED(s6)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[24252, 26463])).
% 51.06/33.74 tff(26465,plain,
% 51.06/33.74 (m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[24260, 26464])).
% 51.06/33.74 tff(26466,plain,
% 51.06/33.74 (~node32(c_p1, s7, s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[13031, 4, 13022])).
% 51.06/33.74 tff(26467,plain,
% 51.06/33.74 (~m_processor_v_abort(c_p1, s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[13049, 26466])).
% 51.06/33.74 tff(26468,plain,
% 51.06/33.74 (node34(c_p1, s7, s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[23515, 26467, 17979])).
% 51.06/33.74 tff(26469,plain,
% 51.06/33.74 (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[24009, 26468, 15882])).
% 51.06/33.74 tff(26470,plain,
% 51.06/33.74 (~node47(c_p1, s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26174, 26469])).
% 51.06/33.74 tff(26471,plain,
% 51.06/33.74 (~m_main_v_CMD(s7, c_read_h_shared)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[13186, 26469])).
% 51.06/33.74 tff(26472,plain,
% 51.06/33.74 (m_main_v_CMD(s7, c_read_h_owned)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[13374, 26471, 4, 17979])).
% 51.06/33.74 tff(26473,plain,
% 51.06/33.74 (m_processor_v_CMD(c_p1, s7, c_read_h_owned)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[13385, 26472])).
% 51.06/33.74 tff(26474,plain,
% 51.06/33.74 (m_processor_v_waiting(c_p1, s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[13393, 26473, 17979, 26470, 26467])).
% 51.06/33.74 tff(26475,plain,
% 51.06/33.74 (~node46(c_p1, s8, s9)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26185, 26474, 6290])).
% 51.06/33.74 tff(26476,plain,
% 51.06/33.74 (~m_processor_v_abort(c_p1, s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26193, 26475])).
% 51.06/33.74 tff(26477,plain,
% 51.06/33.74 (node60(c_p1, s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15039, 26476])).
% 51.06/33.74 tff(26478,plain,
% 51.06/33.74 (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26247, 26474, 6290])).
% 51.06/33.74 tff(26479,plain,
% 51.06/33.74 (~m_main_v_CMD(s8, c_read_h_owned)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15519, 26478])).
% 51.06/33.74 tff(26480,plain,
% 51.06/33.74 (~m_processor_v_CMD(c_p0, s8, c_read_h_owned)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15523, 1612, 15085, 26479])).
% 51.06/33.74 tff(26481,plain,
% 51.06/33.74 (~m_processor_v_abort(c_p0, s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15129, 26480, 26477])).
% 51.06/33.74 tff(26482,plain,
% 51.06/33.74 (~m_processor_v_master(c_p0, s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26406, 26481, 14758, 14838, 14780, 14422])).
% 51.06/33.74 tff(26483,plain,
% 51.06/33.74 (~node52(c_p1, s8, s9)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26219, 26474, 6290])).
% 51.06/33.74 tff(26484,plain,
% 51.06/33.74 (node60(c_p1, s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[24175, 26467])).
% 51.06/33.74 tff(26485,plain,
% 51.06/33.74 (~m_processor_v_REPLY_h_STALL(c_p1, s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[25755, 26484])).
% 51.06/33.74 tff(26486,plain,
% 51.06/33.74 (~m_main_v_REPLY_h_STALL(s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[25761, 26485])).
% 51.06/33.74 tff(26487,plain,
% 51.06/33.74 (node7(s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15446, 26486])).
% 51.06/33.74 tff(26488,plain,
% 51.06/33.74 (~m_memory_v_reply_h_stall(c_m, s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15454, 26487])).
% 51.06/33.74 tff(26489,plain,
% 51.06/33.74 (m_memory_v_CMD(c_m, s7, c_read_h_owned)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15375, 26472])).
% 51.06/33.74 tff(26490,plain,
% 51.06/33.74 (~node30(c_m, s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15461, 26489])).
% 51.06/33.74 tff(26491,plain,
% 51.06/33.74 (~m_memory_v_busy(c_m, s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15470, 26490, 26488])).
% 51.06/33.74 tff(26492,plain,
% 51.06/33.74 (~node25(c_m, s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15386, 26489])).
% 51.06/33.74 tff(26493,plain,
% 51.06/33.74 (~node26(c_m, s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15395, 26492, 15389])).
% 51.06/33.74 tff(26494,plain,
% 51.06/33.74 (m_memory_v_abort(c_m, s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15403, 26493])).
% 51.06/33.74 tff(26495,plain,
% 51.06/33.74 (node18(c_m, s7, s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15415, 26494])).
% 51.06/33.74 tff(26496,plain,
% 51.06/33.74 (~m_memory_v_busy(c_m, s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[24889, 26495, 26491])).
% 51.06/33.74 tff(26497,plain,
% 51.06/33.74 (~node29(c_m, s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15481, 2072, 26496])).
% 51.06/33.74 tff(26498,plain,
% 51.06/33.74 (m_memory_v_cmd(c_m, s8, c_idle)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15489, 26497])).
% 51.06/33.74 tff(26499,plain,
% 51.06/33.74 (~m_processor_v_cmd(c_p0, s8, c_idle)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26401, 26498, 26476, 26483, 26478, 14422, 6289, 13022, 6288, 6290])).
% 51.06/33.74 tff(26500,plain,
% 51.06/33.74 ($false),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15788, 26499, 26482, 15529])).
% 51.06/33.74 tff(26501,plain,(m_processor_v_state(c_p1, s7, c_owned) | (~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_shared) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_waiting(c_p1, s9) | m_processor_v_waiting(c_p0, s9) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_state(c_p0, s9, c_invalid) | (~m_memory_v_REPLY_h_OWNED(c_m, s7))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.74 tff(26502,plain,
% 51.06/33.74 (m_processor_v_state(c_p1, s7, c_owned)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26501, 26144, 26159, 26158, 26154, 26152, 26142, 26161, 26160, 26149])).
% 51.06/33.74 tff(26503,plain,
% 51.06/33.74 (~m_processor_v_state(c_p1, s7, c_shared)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[13520, 26502])).
% 51.06/33.74 tff(26504,plain,
% 51.06/33.74 (~m_processor_v_state(c_p0, s6, c_invalid)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[1035, 137, 26460])).
% 51.06/33.74 tff(26505,plain,
% 51.06/33.74 (~m_processor_v_state(c_p0, s6, c_shared)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[809, 26460])).
% 51.06/33.74 tff(26506,plain,
% 51.06/33.74 (~m_processor_v_state(c_p1, s7, c_invalid)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[13403, 137, 26502])).
% 51.06/33.74 tff(26507,plain,
% 51.06/33.74 (~m_memory_v_busy(c_m, s6)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[25727, 26506, 53, 26505, 26504, 26503, 26412])).
% 51.06/33.74 tff(26508,plain,
% 51.06/33.74 (~m_memory_v_busy(c_m, s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[25438, 26507, 26465])).
% 51.06/33.74 tff(26509,plain,
% 51.06/33.74 (~node29(c_m, s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[24392, 26508])).
% 51.06/33.74 tff(26510,plain,
% 51.06/33.74 (m_memory_v_cmd(c_m, s7, c_idle)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[13225, 26509])).
% 51.06/33.74 tff(26511,plain,
% 51.06/33.74 (m_processor_v_waiting(c_p1, s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[25475, 26506, 673, 26412, 26503])).
% 51.06/33.74 tff(26512,plain,
% 51.06/33.74 (m_processor_v_waiting(c_p1, s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26121, 26510, 23598, 26502, 26511])).
% 51.06/33.74 tff(26513,plain,
% 51.06/33.74 (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26247, 26512, 26152])).
% 51.06/33.74 tff(26514,plain,
% 51.06/33.74 (~node52(c_p1, s8, s9)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26219, 26512, 26152])).
% 51.06/33.74 tff(26515,plain,
% 51.06/33.74 (~node46(c_p1, s8, s9)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26185, 26512, 26152])).
% 51.06/33.74 tff(26516,plain,
% 51.06/33.74 (~m_processor_v_abort(c_p1, s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26193, 26515])).
% 51.06/33.74 tff(26517,plain,
% 51.06/33.74 (~m_processor_v_state(c_p0, s8, c_shared)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[14436, 121, 26144])).
% 51.06/33.74 tff(26518,plain,
% 51.06/33.74 (~node63(c_p0, s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15528, 1809, 26517])).
% 51.06/33.74 tff(26519,plain,
% 51.06/33.74 (node60(c_p1, s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15039, 26516])).
% 51.06/33.74 tff(26520,plain,
% 51.06/33.74 (~m_main_v_CMD(s8, c_read_h_owned)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15519, 26513])).
% 51.06/33.74 tff(26521,plain,
% 51.06/33.74 (~m_processor_v_CMD(c_p0, s8, c_read_h_owned)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15523, 1612, 15085, 26520])).
% 51.06/33.74 tff(26522,plain,
% 51.06/33.74 (~m_processor_v_abort(c_p0, s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15129, 26521, 26519])).
% 51.06/33.74 tff(26523,plain,
% 51.06/33.74 (~m_processor_v_master(c_p0, s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26406, 26522, 26142, 26161, 26160, 26144])).
% 51.06/33.74 tff(26524,plain,
% 51.06/33.74 (m_processor_v_cmd(c_p0, s8, c_idle)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15788, 26523, 26518])).
% 51.06/33.74 tff(26525,plain,
% 51.06/33.74 (~m_memory_v_cmd(c_m, s8, c_idle)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[26401, 26524, 26516, 26514, 26513, 26144, 26159, 26158, 26154, 26152])).
% 51.06/33.74 tff(26526,plain,
% 51.06/33.74 (node29(c_m, s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15489, 26525])).
% 51.06/33.74 tff(26527,plain,
% 51.06/33.74 (m_memory_v_busy(c_m, s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15481, 2072, 26526])).
% 51.06/33.74 tff(26528,plain,
% 51.06/33.74 (~node22(c_m, s7, s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[24657, 26527, 26508])).
% 51.06/33.74 tff(26529,plain,
% 51.06/33.74 (~node18(c_m, s7, s8)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[24889, 26527, 26508])).
% 51.06/33.74 tff(26530,plain,
% 51.06/33.74 (~m_memory_v_abort(c_m, s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[15415, 26529])).
% 51.06/33.74 tff(26531,plain,
% 51.06/33.74 (node21(c_m, s7)),
% 51.06/33.74 inference(unit_resolution,[status(thm)],[24901, 26530, 26527, 26528])).
% 51.06/33.75 tff(26532,plain,
% 51.06/33.75 (node26(c_m, s7)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[15403, 26530])).
% 51.06/33.75 tff(26533,plain,
% 51.06/33.75 (node25(c_m, s7)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[15395, 26532, 26149])).
% 51.06/33.75 tff(26534,plain,
% 51.06/33.75 (~m_memory_v_CMD(c_m, s7, c_read_h_owned)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[15386, 26533])).
% 51.06/33.75 tff(26535,plain,
% 51.06/33.75 (m_memory_v_CMD(c_m, s7, c_read_h_shared)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[24649, 26534, 26531])).
% 51.06/33.75 tff(26536,plain,
% 51.06/33.75 (m_main_v_CMD(s7, c_read_h_shared)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[24612, 26535])).
% 51.06/33.75 tff(26537,plain,
% 51.06/33.75 (~m_processor_v_cmd(c_p1, s7, c_idle)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[24602, 26536, 23598, 26510])).
% 51.06/33.75 tff(26538,plain,
% 51.06/33.75 (m_processor_v_master(c_p1, s7)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[14619, 26537])).
% 51.06/33.75 tff(26539,plain,
% 51.06/33.75 (~node16(s7)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[13191, 3386, 26538])).
% 51.06/33.75 tff(26540,plain,
% 51.06/33.75 (~node62(c_p1, s7)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[13316, 1633, 26506])).
% 51.06/33.75 tff(26541,plain,
% 51.06/33.75 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p1, s7, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p1, s7, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared)))),
% 51.06/33.75 inference(rewrite,[status(thm)],[])).
% 51.06/33.75 tff(26542,plain,
% 51.06/33.75 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p1, s7, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared)))),
% 51.06/33.75 inference(quant_inst,[status(thm)],[])).
% 51.06/33.75 tff(26543,plain,
% 51.06/33.75 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p1, s7, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared))),
% 51.06/33.75 inference(modus_ponens,[status(thm)],[26542, 26541])).
% 51.06/33.75 tff(26544,plain,
% 51.06/33.75 (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_shared)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[26543, 16773, 13286])).
% 51.06/33.75 tff(26545,plain,
% 51.06/33.75 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s7, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p1, s7, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_invalid)))),
% 51.06/33.75 inference(rewrite,[status(thm)],[])).
% 51.06/33.75 tff(26546,plain,
% 51.06/33.75 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s7, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_invalid)))),
% 51.06/33.75 inference(quant_inst,[status(thm)],[])).
% 51.06/33.75 tff(26547,plain,
% 51.06/33.75 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p1, s7, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_invalid))),
% 51.06/33.75 inference(modus_ponens,[status(thm)],[26546, 26545])).
% 51.06/33.75 tff(26548,plain,
% 51.06/33.75 (~m_processor_v_cmd(c_p1, s7, c_write_h_invalid)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[26547, 11648, 13286])).
% 51.06/33.75 tff(26549,plain,
% 51.06/33.75 (node64(c_p1, s7)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[24124, 26548, 24069, 13435, 26544, 13188])).
% 51.06/33.75 tff(26550,assumption,(~node62(c_p1, s7)), introduced(assumption)).
% 51.06/33.75 tff(26551,plain,
% 51.06/33.75 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s7, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p1, s7, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid)))),
% 51.06/33.75 inference(rewrite,[status(thm)],[])).
% 51.06/33.75 tff(26552,plain,
% 51.06/33.75 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s7, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid)))),
% 51.06/33.75 inference(quant_inst,[status(thm)],[])).
% 51.06/33.75 tff(26553,plain,
% 51.06/33.75 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p1, s7, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid))),
% 51.06/33.75 inference(modus_ponens,[status(thm)],[26552, 26551])).
% 51.06/33.75 tff(26554,plain,
% 51.06/33.75 (~m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[26553, 9153, 13286])).
% 51.06/33.75 tff(26555,plain,
% 51.06/33.75 ((~m_processor_v_master(c_p1, s7)) | node62(c_p1, s7) | (~m_processor_v_snoop(c_p1, s7, c_owned)) | m_processor_v_cmd(c_p1, s7, c_write_h_resp_h_invalid)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[24025, 7172, 13435, 23941])).
% 51.06/33.75 tff(26556,plain,
% 51.06/33.75 (~m_processor_v_snoop(c_p1, s7, c_owned)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[26555, 26554, 13188, 26550])).
% 51.06/33.75 tff(26557,plain,
% 51.06/33.75 ($false),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[24030, 4082, 26556, 26549])).
% 51.06/33.75 tff(26558,plain,((~m_processor_v_cmd(c_p1, s7, c_read_h_shared)) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_master(c_p1, s7)) | node62(c_p1, s7)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.75 tff(26559,plain,
% 51.06/33.75 (~m_processor_v_cmd(c_p1, s7, c_read_h_shared)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[26558, 26538, 26502, 26540])).
% 51.06/33.75 tff(26560,plain,
% 51.06/33.75 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s7, c_read_h_shared)) | (~node10(s7)) | m_processor_v_cmd(c_p1, s7, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~m_main_v_CMD(s7, c_read_h_shared)) | (~node10(s7)) | m_processor_v_cmd(c_p1, s7, c_read_h_shared))),
% 51.06/33.75 inference(rewrite,[status(thm)],[])).
% 51.06/33.75 tff(26561,plain,
% 51.06/33.75 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s7, c_read_h_shared)) | (~node10(s7)) | m_processor_v_cmd(c_p1, s7, c_read_h_shared))),
% 51.06/33.75 inference(quant_inst,[status(thm)],[])).
% 51.06/33.75 tff(26562,plain,
% 51.06/33.75 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~m_main_v_CMD(s7, c_read_h_shared)) | (~node10(s7)) | m_processor_v_cmd(c_p1, s7, c_read_h_shared)),
% 51.06/33.75 inference(modus_ponens,[status(thm)],[26561, 26560])).
% 51.06/33.75 tff(26563,plain,
% 51.06/33.75 ($false),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[26562, 3512, 13259, 13302, 13174])).
% 51.06/33.75 tff(26564,plain,(m_processor_v_cmd(c_p1, s7, c_read_h_shared) | (~node10(s7)) | (~m_main_v_CMD(s7, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.75 tff(26565,plain,
% 51.06/33.75 (~node10(s7)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[26564, 26559, 26536])).
% 51.06/33.75 tff(26566,plain,
% 51.06/33.75 (~node9(s7)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[13282, 3443, 26537])).
% 51.06/33.75 tff(26567,plain,
% 51.06/33.75 (node9(s7) | (~m_processor_v_cmd(c_p2, s7, c_idle)) | (~m_memory_v_cmd(c_m, s7, c_idle)) | node10(s7)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[13273, 3461, 23598])).
% 51.06/33.75 tff(26568,plain,
% 51.06/33.75 (~m_processor_v_cmd(c_p2, s7, c_idle)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[26567, 26566, 26510, 26565])).
% 51.06/33.75 tff(26569,plain,
% 51.06/33.75 (m_processor_v_master(c_p2, s7)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[13368, 26568])).
% 51.06/33.75 tff(26570,plain,
% 51.06/33.75 ($false),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[13372, 1545, 26569, 26539])).
% 51.06/33.75 tff(26571,plain,(m_processor_v_master(c_p0, s7) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p1, s6, c_shared) | (~m_processor_v_state(c_p1, s6, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.75 tff(26572,plain,
% 51.06/33.75 ($false),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[26571, 18159, 1, 53, 55])).
% 51.06/33.75 tff(26573,plain,(m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_master(c_p0, s7) | m_processor_v_state(c_p0, s4, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.75 tff(26574,plain,
% 51.06/33.75 (m_processor_v_state(c_p1, s6, c_shared)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[26573, 55, 53, 54])).
% 51.06/33.75 tff(26575,plain,
% 51.06/33.75 (~m_processor_v_state(c_p1, s6, c_invalid)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[16740, 977, 26574])).
% 51.06/33.75 tff(26576,plain,
% 51.06/33.75 (node67(s9)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[25735, 55, 53])).
% 51.06/33.75 tff(26577,plain,
% 51.06/33.75 (m_processor_v_writable(c_p0, s9)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[14729, 26576])).
% 51.06/33.75 tff(26578,plain,
% 51.06/33.75 (node56(c_p0, s9)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[14737, 26577])).
% 51.06/33.75 tff(26579,plain,
% 51.06/33.75 (m_processor_v_state(c_p0, s9, c_owned)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[14745, 26578])).
% 51.06/33.75 tff(26580,plain,
% 51.06/33.75 (~m_processor_v_waiting(c_p0, s9)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[14756, 540, 26578])).
% 51.06/33.75 tff(26581,plain,
% 51.06/33.75 (m_processor_v_state(c_p0, s8, c_owned)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[18128, 26580, 55, 26579])).
% 51.06/33.75 tff(26582,plain,
% 51.06/33.75 (m_processor_v_state(c_p0, s7, c_owned)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[14544, 26581, 55])).
% 51.06/33.75 tff(26583,plain,
% 51.06/33.75 (~m_processor_v_state(c_p0, s9, c_shared)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[14766, 121, 26579])).
% 51.06/33.75 tff(26584,plain,
% 51.06/33.75 (~m_processor_v_state(c_p0, s9, c_invalid)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[14770, 137, 26579])).
% 51.06/33.75 tff(26585,plain,
% 51.06/33.75 (m_processor_v_writable(c_p1, s9)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[6259, 26576])).
% 51.06/33.75 tff(26586,plain,
% 51.06/33.75 (node56(c_p1, s9)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[6267, 26585])).
% 51.06/33.75 tff(26587,plain,
% 51.06/33.75 (~m_processor_v_waiting(c_p1, s9)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[6546, 540, 26586])).
% 51.06/33.75 tff(26588,plain,
% 51.06/33.75 (m_processor_v_state(c_p1, s9, c_owned)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[6275, 26586])).
% 51.06/33.75 tff(26589,plain,
% 51.06/33.75 (~m_processor_v_state(c_p1, s9, c_invalid)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[6279, 137, 26588])).
% 51.06/33.75 tff(26590,plain,
% 51.06/33.75 (m_processor_v_state(c_p1, s8, c_owned)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[26157, 26587, 26588])).
% 51.06/33.75 tff(26591,plain,
% 51.06/33.75 (~m_processor_v_state(c_p1, s9, c_shared)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[6286, 121, 26588])).
% 51.06/33.75 tff(26592,plain,
% 51.06/33.75 ((~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_reply_h_owned(c_p0, s7)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[24862, 10170, 55])).
% 51.06/33.75 tff(26593,plain,
% 51.06/33.75 (m_processor_v_reply_h_owned(c_p0, s7)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[26592, 26582])).
% 51.06/33.75 tff(26594,plain,
% 51.06/33.75 (~node5(s7)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[24866, 10185, 26593])).
% 51.06/33.75 tff(26595,plain,
% 51.06/33.75 (m_main_v_REPLY_h_OWNED(s7)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[15356, 26594])).
% 51.06/33.75 tff(26596,plain,
% 51.06/33.75 (m_memory_v_REPLY_h_OWNED(c_m, s7)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[15364, 26595])).
% 51.06/33.75 tff(26597,plain,
% 51.06/33.75 (m_processor_v_state(c_p1, s7, c_owned)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[26501, 26596, 26591, 26590, 26589, 26587, 26580, 26581, 26584, 26583])).
% 51.06/33.75 tff(26598,plain,
% 51.06/33.75 (m_processor_v_master(c_p1, s6)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[19060, 26574, 26597])).
% 51.06/33.75 tff(26599,plain,
% 51.06/33.75 (~m_processor_v_master(c_p0, s6)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[16318, 26598])).
% 51.06/33.75 tff(26600,plain,
% 51.06/33.75 (m_processor_v_state(c_p0, s6, c_owned)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[2437, 26599, 26582])).
% 51.06/33.75 tff(26601,plain,
% 51.06/33.75 (~m_processor_v_state(c_p1, s7, c_shared)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[13520, 26597])).
% 51.06/33.75 tff(26602,plain,
% 51.06/33.75 (~node32(c_p1, s6, s7)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[13531, 26574, 26601])).
% 51.06/33.75 tff(26603,plain,
% 51.06/33.75 (~m_processor_v_abort(c_p1, s6)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[13472, 26602])).
% 51.06/33.75 tff(26604,plain,
% 51.06/33.75 (node60(c_p1, s6)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[18324, 26603])).
% 51.06/33.75 tff(26605,plain,
% 51.06/33.75 (~node62(c_p1, s6)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[18858, 26575])).
% 51.06/33.75 tff(26606,plain,
% 51.06/33.75 (m_processor_v_cmd(c_p1, s6, c_read_h_owned)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[19072, 26605, 26598, 26574])).
% 51.06/33.75 tff(26607,plain,
% 51.06/33.75 (m_processor_v_cmd(c_p0, s6, c_idle)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[18577, 26599])).
% 51.06/33.75 tff(26608,plain,
% 51.06/33.75 (~node17(s6)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[18766, 26598])).
% 51.06/33.75 tff(26609,plain,
% 51.06/33.75 (~m_memory_v_master(c_m, s6)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[14301, 26608])).
% 51.06/33.75 tff(26610,plain,
% 51.06/33.75 (~node29(c_m, s6)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[14293, 26609])).
% 51.06/33.75 tff(26611,plain,
% 51.06/33.75 (m_memory_v_cmd(c_m, s6, c_idle)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[14285, 26610])).
% 51.06/33.75 tff(26612,plain,
% 51.06/33.75 (~node16(s6)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[18755, 26598])).
% 51.06/33.75 tff(26613,plain,
% 51.06/33.75 (~m_processor_v_master(c_p2, s6)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[14224, 26612])).
% 51.06/33.75 tff(26614,plain,
% 51.06/33.75 (~node62(c_p2, s6)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[14232, 26613])).
% 51.06/33.75 tff(26615,plain,
% 51.06/33.75 (m_processor_v_cmd(c_p2, s6, c_idle)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[14269, 26613, 26614])).
% 51.06/33.75 tff(26616,plain,
% 51.06/33.75 (~m_processor_v_cmd(c_p1, s6, c_idle)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[19092, 26606])).
% 51.06/33.75 tff(26617,plain,
% 51.06/33.75 (~node9(s6)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[18794, 26616])).
% 51.06/33.75 tff(26618,plain,
% 51.06/33.75 (node10(s6)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[18805, 26617, 26615, 26611, 26607])).
% 51.06/33.75 tff(26619,plain,
% 51.06/33.75 (m_main_v_CMD(s6, c_read_h_owned)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[19097, 26618, 26606])).
% 51.06/33.75 tff(26620,plain,
% 51.06/33.75 (m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[16254, 26619])).
% 51.06/33.75 tff(26621,plain,
% 51.06/33.75 (~node59(c_p1, s6)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[18342, 26620])).
% 51.06/33.75 tff(26622,plain,
% 51.06/33.75 (~m_processor_v_REPLY_h_WAITING(c_p1, s6)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[18335, 26621, 26604])).
% 51.06/33.75 tff(26623,plain,
% 51.06/33.75 (~m_main_v_REPLY_h_WAITING(s6)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[18192, 26622])).
% 51.06/33.75 tff(26624,plain,
% 51.06/33.75 (node6(s6)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[14184, 26623])).
% 51.06/33.75 tff(26625,assumption,(m_processor_v_reply_h_waiting(c_p0, s6)), introduced(assumption)).
% 51.06/33.75 tff(26626,plain,
% 51.06/33.75 (((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | ((~node6(s6)) | (~m_processor_v_reply_h_waiting(c_p0, s6)))) <=> ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | (~node6(s6)) | (~m_processor_v_reply_h_waiting(c_p0, s6)))),
% 51.06/33.75 inference(rewrite,[status(thm)],[])).
% 51.06/33.75 tff(26627,plain,
% 51.06/33.75 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | ((~node6(s6)) | (~m_processor_v_reply_h_waiting(c_p0, s6)))),
% 51.06/33.75 inference(quant_inst,[status(thm)],[])).
% 51.06/33.75 tff(26628,plain,
% 51.06/33.75 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p0, X)))) | (~node6(s6)) | (~m_processor_v_reply_h_waiting(c_p0, s6))),
% 51.06/33.75 inference(modus_ponens,[status(thm)],[26627, 26626])).
% 51.06/33.75 tff(26629,plain,
% 51.06/33.75 ($false),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[26628, 778, 14171, 26625])).
% 51.06/33.75 tff(26630,plain,((~node6(s6)) | (~m_processor_v_reply_h_waiting(c_p0, s6))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.75 tff(26631,plain,
% 51.06/33.75 (~m_processor_v_reply_h_waiting(c_p0, s6)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[26630, 26624])).
% 51.06/33.75 tff(26632,assumption,(~m_processor_v_reply_h_waiting(c_p0, s6)), introduced(assumption)).
% 51.06/33.75 tff(26633,plain,
% 51.06/33.75 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p0, s6)) | m_processor_v_master(c_p0, s6) | m_processor_v_reply_h_waiting(c_p0, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s6)) | m_processor_v_master(c_p0, s6) | m_processor_v_reply_h_waiting(c_p0, s6))),
% 51.06/33.75 inference(rewrite,[status(thm)],[])).
% 51.06/33.75 tff(26634,plain,
% 51.06/33.75 ((m_processor_v_master(c_p0, s6) | (~m_processor_v_waiting(c_p0, s6)) | m_processor_v_reply_h_waiting(c_p0, s6)) <=> ((~m_processor_v_waiting(c_p0, s6)) | m_processor_v_master(c_p0, s6) | m_processor_v_reply_h_waiting(c_p0, s6))),
% 51.06/33.75 inference(rewrite,[status(thm)],[])).
% 51.06/33.75 tff(26635,plain,
% 51.06/33.75 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s6) | (~m_processor_v_waiting(c_p0, s6)) | m_processor_v_reply_h_waiting(c_p0, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p0, s6)) | m_processor_v_master(c_p0, s6) | m_processor_v_reply_h_waiting(c_p0, s6)))),
% 51.06/33.75 inference(monotonicity,[status(thm)],[26634])).
% 51.06/33.75 tff(26636,plain,
% 51.06/33.75 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s6) | (~m_processor_v_waiting(c_p0, s6)) | m_processor_v_reply_h_waiting(c_p0, s6))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s6)) | m_processor_v_master(c_p0, s6) | m_processor_v_reply_h_waiting(c_p0, s6))),
% 51.06/33.75 inference(transitivity,[status(thm)],[26635, 26633])).
% 51.06/33.75 tff(26637,plain,
% 51.06/33.75 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p0, s6) | (~m_processor_v_waiting(c_p0, s6)) | m_processor_v_reply_h_waiting(c_p0, s6))),
% 51.06/33.75 inference(quant_inst,[status(thm)],[])).
% 51.06/33.75 tff(26638,plain,
% 51.06/33.75 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p0, s6)) | m_processor_v_master(c_p0, s6) | m_processor_v_reply_h_waiting(c_p0, s6)),
% 51.06/33.75 inference(modus_ponens,[status(thm)],[26637, 26636])).
% 51.06/33.75 tff(26639,plain,
% 51.06/33.75 ($false),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[26638, 2296, 2318, 26632, 25075])).
% 51.06/33.75 tff(26640,plain,(m_processor_v_reply_h_waiting(c_p0, s6) | m_processor_v_master(c_p0, s6) | (~m_processor_v_waiting(c_p0, s6))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.75 tff(26641,plain,
% 51.06/33.75 (~m_processor_v_waiting(c_p0, s6)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[26640, 26631, 26599])).
% 51.06/33.75 tff(26642,plain,
% 51.06/33.75 (m_processor_v_master(c_p0, s5)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[1058, 799, 785])).
% 51.06/33.75 tff(26643,plain,
% 51.06/33.75 (~m_processor_v_state(c_p0, s5, c_shared)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[1052, 986, 813])).
% 51.06/33.75 tff(26644,plain,
% 51.06/33.75 (~m_processor_v_state(c_p0, s5, c_invalid)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[994, 986, 812])).
% 51.06/33.75 tff(26645,plain,
% 51.06/33.75 ($false),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[955, 26644, 26643, 799])).
% 51.06/33.75 tff(26646,plain,((~node32(c_p0, s5, s6)) | m_processor_v_state(c_p0, s5, c_owned) | m_processor_v_state(c_p0, s6, c_invalid) | m_processor_v_state(c_p0, s6, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.75 tff(26647,plain,
% 51.06/33.75 (~node32(c_p0, s5, s6)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[26646, 799, 18194, 810])).
% 51.06/33.75 tff(26648,plain,
% 51.06/33.75 (~m_processor_v_abort(c_p0, s5)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[951, 26647])).
% 51.06/33.75 tff(26649,plain,
% 51.06/33.75 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | (~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | m_processor_v_waiting(c_p0, s6) | node47(c_p0, s5) | (~node53(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | (~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | m_processor_v_waiting(c_p0, s6) | node47(c_p0, s5) | (~node53(c_p0, s5, s6)))),
% 51.06/33.75 inference(rewrite,[status(thm)],[])).
% 51.06/33.75 tff(26650,plain,
% 51.06/33.75 ((m_processor_v_waiting(c_p0, s6) | (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | (~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | node47(c_p0, s5) | (~node53(c_p0, s5, s6))) <=> ((~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | (~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | m_processor_v_waiting(c_p0, s6) | node47(c_p0, s5) | (~node53(c_p0, s5, s6)))),
% 51.06/33.75 inference(rewrite,[status(thm)],[])).
% 51.06/33.75 tff(26651,plain,
% 51.06/33.75 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s6) | (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | (~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | node47(c_p0, s5) | (~node53(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | (~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | m_processor_v_waiting(c_p0, s6) | node47(c_p0, s5) | (~node53(c_p0, s5, s6))))),
% 51.06/33.75 inference(monotonicity,[status(thm)],[26650])).
% 51.06/33.75 tff(26652,plain,
% 51.06/33.75 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s6) | (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | (~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | node47(c_p0, s5) | (~node53(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | (~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | m_processor_v_waiting(c_p0, s6) | node47(c_p0, s5) | (~node53(c_p0, s5, s6)))),
% 51.06/33.75 inference(transitivity,[status(thm)],[26651, 26649])).
% 51.06/33.75 tff(26653,plain,
% 51.06/33.75 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s6) | (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | (~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | node47(c_p0, s5) | (~node53(c_p0, s5, s6)))),
% 51.06/33.75 inference(quant_inst,[status(thm)],[])).
% 51.06/33.75 tff(26654,plain,
% 51.06/33.75 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | (~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | m_processor_v_waiting(c_p0, s6) | node47(c_p0, s5) | (~node53(c_p0, s5, s6))),
% 51.06/33.75 inference(modus_ponens,[status(thm)],[26653, 26652])).
% 51.06/33.75 tff(26655,plain,
% 51.06/33.75 ((~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | (~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | m_processor_v_waiting(c_p0, s6) | node47(c_p0, s5)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[26654, 640, 25065])).
% 51.06/33.75 tff(26656,plain,
% 51.06/33.75 (node47(c_p0, s5)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[26655, 26648, 2, 26642, 1038])).
% 51.06/33.75 tff(26657,plain,
% 51.06/33.75 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | m_processor_v_waiting(c_p0, s6) | (~node53(c_p0, s5, s6)) | (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | m_processor_v_waiting(c_p0, s6) | (~node53(c_p0, s5, s6)) | (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)))),
% 51.06/33.75 inference(rewrite,[status(thm)],[])).
% 51.06/33.75 tff(26658,plain,
% 51.06/33.75 ((m_processor_v_waiting(c_p0, s6) | (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)) | (~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | (~node53(c_p0, s5, s6))) <=> ((~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | m_processor_v_waiting(c_p0, s6) | (~node53(c_p0, s5, s6)) | (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)))),
% 51.06/33.75 inference(rewrite,[status(thm)],[])).
% 51.06/33.75 tff(26659,plain,
% 51.06/33.75 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s6) | (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)) | (~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | (~node53(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | ((~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | m_processor_v_waiting(c_p0, s6) | (~node53(c_p0, s5, s6)) | (~m_processor_v_CMD(c_p0, s5, c_read_h_shared))))),
% 51.06/33.75 inference(monotonicity,[status(thm)],[26658])).
% 51.06/33.75 tff(26660,plain,
% 51.06/33.75 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s6) | (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)) | (~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | (~node53(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | m_processor_v_waiting(c_p0, s6) | (~node53(c_p0, s5, s6)) | (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)))),
% 51.06/33.75 inference(transitivity,[status(thm)],[26659, 26657])).
% 51.06/33.75 tff(26661,plain,
% 51.06/33.75 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s6) | (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)) | (~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | (~node53(c_p0, s5, s6)))),
% 51.06/33.75 inference(quant_inst,[status(thm)],[])).
% 51.06/33.75 tff(26662,plain,
% 51.06/33.75 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~m_processor_v_master(I0, X)) | m_processor_v_abort(I0, X) | (~node53(I0, X, Y)))) | (~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | m_processor_v_waiting(c_p0, s6) | (~node53(c_p0, s5, s6)) | (~m_processor_v_CMD(c_p0, s5, c_read_h_shared))),
% 51.06/33.75 inference(modus_ponens,[status(thm)],[26661, 26660])).
% 51.06/33.75 tff(26663,plain,
% 51.06/33.75 ((~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | m_processor_v_waiting(c_p0, s6) | (~m_processor_v_CMD(c_p0, s5, c_read_h_shared))),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[26662, 589, 25065])).
% 51.06/33.75 tff(26664,plain,
% 51.06/33.75 (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[26663, 26648, 2, 26642])).
% 51.06/33.75 tff(26665,plain,
% 51.06/33.75 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p0, s5, c_read_h_shared) | (~node47(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | (~node47(c_p0, s5)))),
% 51.06/33.75 inference(rewrite,[status(thm)],[])).
% 51.06/33.75 tff(26666,plain,
% 51.06/33.75 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | (m_processor_v_CMD(c_p0, s5, c_read_h_shared) | (~node47(c_p0, s5)))),
% 51.06/33.75 inference(quant_inst,[status(thm)],[])).
% 51.06/33.75 tff(26667,plain,
% 51.06/33.75 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node47(I0, X)))) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | (~node47(c_p0, s5))),
% 51.06/33.75 inference(modus_ponens,[status(thm)],[26666, 26665])).
% 51.06/33.75 tff(26668,plain,
% 51.06/33.75 ($false),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[26667, 657, 26664, 26656])).
% 51.06/33.75 tff(26669,plain,(m_processor_v_state(c_p0, s5, c_owned) | m_processor_v_waiting(c_p0, s6) | (~m_processor_v_state(c_p0, s6, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.75 tff(26670,plain,
% 51.06/33.75 (m_processor_v_state(c_p0, s5, c_owned)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[26669, 26641, 26600])).
% 51.06/33.75 tff(26671,plain,
% 51.06/33.75 (~m_processor_v_state(c_p0, s5, c_shared)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[1068, 26670])).
% 51.06/33.75 tff(26672,plain,
% 51.06/33.75 (~m_processor_v_state(c_p0, s5, c_invalid)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[1072, 137, 26670])).
% 51.06/33.75 tff(26673,plain,
% 51.06/33.75 (~m_processor_v_master(c_p1, s4)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[1435, 794, 1192])).
% 51.06/33.75 tff(26674,plain,
% 51.06/33.75 (m_processor_v_cmd(c_p1, s4, c_idle)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[1517, 26673])).
% 51.06/33.75 tff(26675,plain,
% 51.06/33.75 (~node32(c_p0, s4, s5)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[1103, 54, 814, 953])).
% 51.06/33.75 tff(26676,plain,
% 51.06/33.75 (~m_processor_v_abort(c_p0, s4)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[1124, 26675])).
% 51.06/33.75 tff(26677,plain,
% 51.06/33.75 (node34(c_p0, s4, s5)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[1333, 26676, 1192])).
% 51.06/33.75 tff(26678,plain,
% 51.06/33.75 (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[2207, 416, 953, 26677])).
% 51.06/33.75 tff(26679,plain,
% 51.06/33.75 (~m_main_v_CMD(s4, c_read_h_shared)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[1236, 26678])).
% 51.06/33.75 tff(26680,plain,
% 51.06/33.75 (~node32(c_p0, s4, s5)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[1093, 1085, 1073])).
% 51.06/33.75 tff(26681,plain,
% 51.06/33.75 (~m_processor_v_abort(c_p0, s4)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[1124, 26680])).
% 51.06/33.75 tff(26682,plain,
% 51.06/33.75 (node60(c_p0, s4)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[1351, 693, 26681])).
% 51.06/33.75 tff(26683,plain,
% 51.06/33.75 (m_processor_v_master(c_p0, s4)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[1147, 1802, 1060, 1758])).
% 51.06/33.75 tff(26684,plain,
% 51.06/33.75 (node34(c_p0, s4, s5)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[1333, 26683, 26681])).
% 51.06/33.75 tff(26685,plain,
% 51.06/33.75 (m_processor_v_CMD(c_p0, s4, c_read_h_owned)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[2253, 26684, 1073, 1085, 1069])).
% 51.06/33.75 tff(26686,plain,
% 51.06/33.75 (~node59(c_p0, s4)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[19327, 707, 26685])).
% 51.06/33.75 tff(26687,plain,
% 51.06/33.75 (~m_processor_v_REPLY_h_WAITING(c_p0, s4)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[19334, 724, 26686, 26682])).
% 51.06/33.75 tff(26688,plain,
% 51.06/33.75 (~m_main_v_REPLY_h_WAITING(s4)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[19340, 26687])).
% 51.06/33.75 tff(26689,plain,
% 51.06/33.75 (~m_processor_v_REPLY_h_WAITING(c_p1, s4)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[19372, 7866, 26688])).
% 51.06/33.75 tff(26690,plain,
% 51.06/33.75 (~m_processor_v_REPLY_h_STALL(c_p0, s4)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[1366, 1363, 26682])).
% 51.06/33.75 tff(26691,plain,
% 51.06/33.75 (~m_main_v_REPLY_h_STALL(s4)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[1386, 26690])).
% 51.06/33.75 tff(26692,plain,
% 51.06/33.75 (~m_processor_v_REPLY_h_STALL(c_p1, s4)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[1404, 26691])).
% 51.06/33.75 tff(26693,plain,
% 51.06/33.75 (~m_processor_v_master(c_p1, s4)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[1435, 794, 26683])).
% 51.06/33.75 tff(26694,plain,
% 51.06/33.75 (~m_processor_v_state(c_p1, s4, c_owned)),
% 51.06/33.75 inference(unit_resolution,[status(thm)],[6865, 26693, 53])).
% 51.06/33.76 tff(26695,plain,
% 51.06/33.76 (m_processor_v_state(c_p1, s4, c_invalid)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[6848, 6657, 6576])).
% 51.06/33.76 tff(26696,plain,
% 51.06/33.76 (m_processor_v_master(c_p1, s4)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[16717, 26695, 559, 6657, 53])).
% 51.06/33.76 tff(26697,plain,
% 51.06/33.76 (~m_processor_v_cmd(c_p1, s4, c_idle)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[22721, 26696, 26695])).
% 51.06/33.76 tff(26698,plain,
% 51.06/33.76 (~node9(s4)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[12703, 3443, 26697])).
% 51.06/33.76 tff(26699,plain,
% 51.06/33.76 (~node17(s4)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[6869, 3344, 26696])).
% 51.06/33.76 tff(26700,plain,
% 51.06/33.76 (~m_memory_v_master(c_m, s4)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[1295, 26699])).
% 51.06/33.76 tff(26701,plain,
% 51.06/33.76 (~node29(c_m, s4)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[1310, 26700])).
% 51.06/33.76 tff(26702,plain,
% 51.06/33.76 (m_memory_v_cmd(c_m, s4, c_idle)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[1325, 26701])).
% 51.06/33.76 tff(26703,plain,
% 51.06/33.76 (~m_processor_v_master(c_p0, s4)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[1435, 794, 26696])).
% 51.06/33.76 tff(26704,plain,
% 51.06/33.76 (m_processor_v_cmd(c_p0, s4, c_idle)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[12616, 26703])).
% 51.06/33.76 tff(26705,plain,
% 51.06/33.76 (~node16(s4)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[12622, 26696])).
% 51.06/33.76 tff(26706,plain,
% 51.06/33.76 (~m_processor_v_master(c_p2, s4)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[1550, 26705])).
% 51.06/33.76 tff(26707,plain,
% 51.06/33.76 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[1582, 26706])).
% 51.06/33.76 tff(26708,plain,
% 51.06/33.76 (node9(s4) | node10(s4)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[12712, 3461, 26707, 26704, 26702])).
% 51.06/33.76 tff(26709,plain,
% 51.06/33.76 (node10(s4)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[26708, 26698])).
% 51.06/33.76 tff(26710,plain,
% 51.06/33.76 (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[1265, 1239])).
% 51.06/33.76 tff(26711,plain,
% 51.06/33.76 (~node37(c_p1, s4, s5)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[16715, 182, 6657, 16700])).
% 51.06/33.76 tff(26712,plain,
% 51.06/33.76 (m_processor_v_master(c_p1, s4)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[6842, 1425, 6657, 6823])).
% 51.06/33.76 tff(26713,plain,
% 51.06/33.76 ($false),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[17176, 26712, 1425, 19196])).
% 51.06/33.76 tff(26714,plain,(m_processor_v_abort(c_p1, s4) | node34(c_p1, s4, s5) | m_processor_v_state(c_p1, s4, c_shared) | node37(c_p1, s4, s5)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.76 tff(26715,plain,
% 51.06/33.76 (m_processor_v_abort(c_p1, s4)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[26714, 6657, 19196, 26711])).
% 51.06/33.76 tff(26716,plain,
% 51.06/33.76 (node32(c_p1, s4, s5)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[6859, 26715])).
% 51.06/33.76 tff(26717,plain,
% 51.06/33.76 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[16706, 26716, 559])).
% 51.06/33.76 tff(26718,plain,
% 51.06/33.76 (m_processor_v_state(c_p1, s4, c_owned)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[19194, 26717])).
% 51.06/33.76 tff(26719,plain,
% 51.06/33.76 ($false),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[6863, 380, 26718, 26716, 53])).
% 51.06/33.76 tff(26720,plain,(m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p1, s5, c_invalid) | node34(c_p1, s4, s5)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.76 tff(26721,plain,
% 51.06/33.76 (node34(c_p1, s4, s5)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[26720, 6657, 53, 559])).
% 51.06/33.76 tff(26722,plain,
% 51.06/33.76 (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[17193, 1864, 26721, 53, 26710])).
% 51.06/33.76 tff(26723,plain,
% 51.06/33.76 (~m_main_v_CMD(s4, c_read_h_owned)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[1953, 26722])).
% 51.06/33.76 tff(26724,plain,
% 51.06/33.76 (m_main_v_CMD(s4, c_idle)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[22646, 26709, 26695, 26696, 1239, 26723])).
% 51.06/33.76 tff(26725,plain,
% 51.06/33.76 ((~node10(s4)) | (~m_main_v_CMD(s4, c_idle))),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[22440, 3512, 26697])).
% 51.06/33.76 tff(26726,plain,
% 51.06/33.76 ($false),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[26725, 26724, 26709])).
% 51.06/33.76 tff(26727,plain,(m_processor_v_state(c_p1, s4, c_shared) | m_main_v_CMD(s4, c_read_h_shared) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_state(c_p1, s4, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.76 tff(26728,plain,
% 51.06/33.76 (m_processor_v_state(c_p1, s4, c_shared)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[26727, 26694, 559, 53, 1239])).
% 51.06/33.76 tff(26729,plain,
% 51.06/33.76 (m_main_v_CMD(s4, c_read_h_owned)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[17687, 1612, 1218, 26685])).
% 51.06/33.76 tff(26730,plain,
% 51.06/33.76 (m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[1953, 26729])).
% 51.06/33.76 tff(26731,plain,
% 51.06/33.76 (~node35(c_p1, s4)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[19155, 316, 26730])).
% 51.06/33.76 tff(26732,plain,
% 51.06/33.76 (m_processor_v_abort(c_p1, s4)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[19148, 26731, 26728, 26693, 559])).
% 51.06/33.76 tff(26733,plain,
% 51.06/33.76 (node61(c_p1, s4)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[1422, 26732, 26692])).
% 51.06/33.76 tff(26734,plain,
% 51.06/33.76 ($false),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[19378, 1891, 26733, 26689])).
% 51.06/33.76 tff(26735,plain,((~m_processor_v_state(c_p0, s4, c_invalid)) | m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_state(c_p1, s5, c_owned) | m_main_v_CMD(s4, c_read_h_shared) | (~m_processor_v_state(c_p0, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.06/33.76 tff(26736,plain,
% 51.06/33.76 (~m_processor_v_state(c_p0, s4, c_invalid)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[26735, 26679, 1060, 53, 559])).
% 51.06/33.76 tff(26737,plain,
% 51.06/33.76 (m_processor_v_state(c_p0, s4, c_shared)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[1101, 26736, 54])).
% 51.06/33.76 tff(26738,plain,
% 51.06/33.76 (m_main_v_CMD(s4, c_read_h_owned)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[19413, 26737, 953, 814, 26736, 26674])).
% 51.06/33.76 tff(26739,plain,
% 51.06/33.76 (m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[1953, 26738])).
% 51.06/33.76 tff(26740,plain,
% 51.06/33.76 (m_processor_v_state(c_p1, s4, c_shared)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[16719, 26673, 559, 53])).
% 51.06/33.76 tff(26741,plain,
% 51.06/33.76 (node60(c_p0, s4)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[1353, 26676])).
% 51.06/33.76 tff(26742,plain,
% 51.06/33.76 (~m_processor_v_REPLY_h_STALL(c_p0, s4)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[1368, 26741])).
% 51.06/33.76 tff(26743,plain,
% 51.06/33.76 (~m_main_v_REPLY_h_STALL(s4)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[1386, 26742])).
% 51.06/33.76 tff(26744,plain,
% 51.06/33.76 (~m_processor_v_REPLY_h_STALL(c_p1, s4)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[1404, 26743])).
% 51.06/33.76 tff(26745,plain,
% 51.06/33.76 (m_processor_v_CMD(c_p0, s4, c_read_h_owned)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[19426, 26736, 953, 814, 54])).
% 51.06/33.76 tff(26746,plain,
% 51.06/33.76 (~node59(c_p0, s4)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[19327, 707, 26745])).
% 51.06/33.76 tff(26747,plain,
% 51.06/33.76 (~m_processor_v_REPLY_h_WAITING(c_p0, s4)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[19334, 724, 26746, 26741])).
% 51.06/33.76 tff(26748,plain,
% 51.06/33.76 (~m_main_v_REPLY_h_WAITING(s4)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[19340, 26747])).
% 51.06/33.76 tff(26749,plain,
% 51.06/33.76 (~m_processor_v_REPLY_h_WAITING(c_p1, s4)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[19374, 26748])).
% 51.06/33.76 tff(26750,plain,
% 51.06/33.76 (~node61(c_p1, s4)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[19380, 26749])).
% 51.06/33.76 tff(26751,plain,
% 51.06/33.76 (~m_processor_v_abort(c_p1, s4)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[1422, 26750, 26744])).
% 51.06/33.76 tff(26752,plain,
% 51.06/33.76 (node35(c_p1, s4)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[19148, 26751, 559, 26673, 26740])).
% 51.06/33.76 tff(26753,plain,
% 51.06/33.76 ($false),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[19155, 316, 26752, 26739])).
% 51.06/33.76 tff(26754,plain,(m_processor_v_state(c_p0, s4, c_owned) | m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_state(c_p0, s5, c_shared) | m_processor_v_state(c_p0, s5, c_invalid) | (~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_state(c_p1, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.76 tff(26755,plain,
% 51.06/33.76 (m_processor_v_state(c_p1, s5, c_invalid)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[26754, 26672, 53, 54, 26670, 26671])).
% 51.06/33.76 tff(26756,plain,
% 51.06/33.76 (~node32(c_p1, s5, s6)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[556, 26755, 26575])).
% 51.06/33.76 tff(26757,plain,
% 51.06/33.76 (~m_processor_v_abort(c_p1, s5)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[250, 26756])).
% 51.06/33.76 tff(26758,plain,
% 51.06/33.76 (node60(c_p1, s5)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[698, 26757])).
% 51.06/33.76 tff(26759,plain,
% 51.06/33.76 (~m_processor_v_state(c_p1, s5, c_shared)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[16733, 26755])).
% 51.06/33.76 tff(26760,plain,
% 51.06/33.76 (node34(c_p1, s5, s6)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[614, 26759, 53, 26575])).
% 51.06/33.76 tff(26761,plain,
% 51.06/33.76 (~m_processor_v_state(c_p1, s6, c_owned)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[129, 26574])).
% 51.06/33.76 tff(26762,plain,
% 51.06/33.76 (m_processor_v_master(c_p1, s5)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[16744, 26755, 26574])).
% 51.06/33.76 tff(26763,plain,
% 51.06/33.76 (m_processor_v_CMD(c_p1, s5, c_read_h_shared)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[16982, 26762, 26761, 26755, 26760])).
% 51.06/33.76 tff(26764,plain,
% 51.06/33.76 (~node59(c_p1, s5)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[16989, 26763])).
% 51.06/33.76 tff(26765,plain,
% 51.06/33.76 (~m_processor_v_abort(c_p0, s5)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[13820, 26764, 26758])).
% 51.06/33.76 tff(26766,plain,
% 51.06/33.76 (m_main_v_CMD(s5, c_read_h_shared)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[13920, 26763])).
% 51.06/33.76 tff(26767,plain,
% 51.06/33.76 (m_processor_v_CMD(c_p0, s5, c_read_h_shared)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[13930, 26766])).
% 51.06/33.76 tff(26768,plain,
% 51.06/33.76 (~m_processor_v_master(c_p0, s5)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[26663, 26767, 26641, 26765])).
% 51.06/33.76 tff(26769,plain,
% 51.06/33.76 (m_processor_v_waiting(c_p0, s5)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[2285, 26670, 54])).
% 51.06/33.76 tff(26770,plain,
% 51.06/33.76 (m_processor_v_master(c_p0, s5) | m_processor_v_reply_h_waiting(c_p0, s5)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[2302, 2296, 26769])).
% 51.06/33.76 tff(26771,plain,
% 51.06/33.76 (m_processor_v_reply_h_waiting(c_p0, s5)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[26770, 26768])).
% 51.06/33.76 tff(26772,plain,
% 51.06/33.76 (~m_processor_v_REPLY_h_WAITING(c_p1, s5)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[732, 26758, 26764])).
% 51.06/33.76 tff(26773,plain,
% 51.06/33.76 (~m_main_v_REPLY_h_WAITING(s5)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[750, 26772])).
% 51.06/33.76 tff(26774,plain,
% 51.06/33.76 (node6(s5)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[765, 26773])).
% 51.06/33.76 tff(26775,plain,
% 51.06/33.76 ($false),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[783, 26774, 26771])).
% 51.06/33.76 tff(26776,plain,(m_processor_v_master(c_p0, s7) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p0, s4, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.76 tff(26777,plain,
% 51.06/33.76 (m_processor_v_master(c_p0, s7)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[26776, 54, 53])).
% 51.06/33.76 tff(26778,plain,
% 51.06/33.76 (~m_processor_v_master(c_p1, s7)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[13229, 794, 26777])).
% 51.06/33.76 tff(26779,plain,
% 51.06/33.76 (~m_processor_v_state(c_p1, s8, c_owned)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[13152, 4, 13051])).
% 51.06/33.76 tff(26780,plain,
% 51.06/33.76 (node67(s7)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[6549, 26779, 5668, 5669, 5670])).
% 51.06/33.76 tff(26781,plain,
% 51.06/33.76 ($false),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[12530, 26780, 12524])).
% 51.06/33.76 tff(26782,plain,(m_processor_v_state(c_p1, s7, c_owned) | node67(s6) | node67(s5) | node67(s4) | m_processor_v_master(c_p1, s7)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.76 tff(26783,plain,
% 51.06/33.76 (m_processor_v_state(c_p1, s7, c_owned)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[26782, 74, 104, 683, 26778])).
% 51.06/33.76 tff(26784,plain,
% 51.06/33.76 (~m_processor_v_state(c_p1, s6, c_owned)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[140, 137, 18159])).
% 51.06/33.76 tff(26785,plain,
% 51.06/33.76 (node67(s9)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[26138, 18159, 53, 1])).
% 51.06/33.76 tff(26786,plain,
% 51.06/33.76 (m_processor_v_writable(c_p1, s9)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[6259, 26785])).
% 51.06/33.76 tff(26787,plain,
% 51.06/33.76 (node56(c_p1, s9)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[6267, 26786])).
% 51.06/33.76 tff(26788,plain,
% 51.06/33.76 (m_processor_v_state(c_p1, s9, c_owned)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[6275, 26787])).
% 51.06/33.76 tff(26789,plain,
% 51.06/33.76 (~m_processor_v_waiting(c_p1, s9)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[6546, 540, 26787])).
% 51.06/33.76 tff(26790,plain,
% 51.06/33.76 (m_processor_v_state(c_p1, s8, c_owned)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[26157, 26789, 26788])).
% 51.06/33.76 tff(26791,plain,
% 51.06/33.76 (m_processor_v_state(c_p1, s7, c_owned)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[13152, 26790, 26778])).
% 51.06/33.76 tff(26792,plain,
% 51.06/33.76 (m_processor_v_master(c_p1, s6)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[13463, 26791, 26784, 1])).
% 51.06/33.76 tff(26793,plain,
% 51.06/33.76 (~m_processor_v_master(c_p0, s6)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[16318, 26792])).
% 51.06/33.76 tff(26794,plain,
% 51.06/33.76 (m_processor_v_writable(c_p0, s9)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[14729, 26785])).
% 51.06/33.76 tff(26795,plain,
% 51.06/33.76 (node56(c_p0, s9)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[14737, 26794])).
% 51.06/33.76 tff(26796,plain,
% 51.06/33.76 (m_processor_v_state(c_p0, s9, c_owned)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[14745, 26795])).
% 51.06/33.76 tff(26797,plain,
% 51.06/33.76 (~m_processor_v_state(c_p1, s9, c_invalid)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[6279, 137, 26788])).
% 51.06/33.76 tff(26798,plain,
% 51.06/33.76 (~m_processor_v_waiting(c_p0, s9)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[14756, 540, 26795])).
% 51.06/33.76 tff(26799,plain,
% 51.06/33.76 (~m_processor_v_state(c_p1, s9, c_shared)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[6286, 121, 26788])).
% 51.06/33.76 tff(26800,plain,
% 51.06/33.76 (m_processor_v_state(c_p0, s6, c_owned)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[26459, 26790, 18159, 26799, 26798, 26797, 26796, 26789, 1])).
% 51.06/33.76 tff(26801,plain,
% 51.06/33.76 (m_processor_v_reply_h_owned(c_p0, s6)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[25481, 10170, 26800, 26793])).
% 51.06/33.76 tff(26802,plain,
% 51.06/33.76 (~node5(s6)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[25489, 26801])).
% 51.06/33.76 tff(26803,plain,
% 51.06/33.76 (m_main_v_REPLY_h_OWNED(s6)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[24252, 26802])).
% 51.06/33.76 tff(26804,plain,
% 51.06/33.76 (m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[24260, 26803])).
% 51.06/33.76 tff(26805,plain,
% 51.06/33.76 (~m_processor_v_state(c_p1, s7, c_shared)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[13520, 26791])).
% 51.06/33.76 tff(26806,plain,
% 51.06/33.76 (~m_processor_v_state(c_p0, s6, c_invalid)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[1035, 137, 26800])).
% 51.06/33.76 tff(26807,plain,
% 51.06/33.76 (~m_processor_v_state(c_p0, s6, c_shared)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[809, 26800])).
% 51.06/33.76 tff(26808,plain,
% 51.06/33.76 (~m_processor_v_state(c_p1, s7, c_invalid)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[13403, 137, 26791])).
% 51.06/33.76 tff(26809,plain,
% 51.06/33.76 (~m_memory_v_busy(c_m, s6)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[25727, 26808, 53, 26807, 26806, 26805, 26792])).
% 51.06/33.76 tff(26810,plain,
% 51.06/33.76 (~m_memory_v_busy(c_m, s7)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[25438, 26809, 26804])).
% 51.06/33.76 tff(26811,plain,
% 51.06/33.76 (~m_processor_v_state(c_p0, s9, c_invalid)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[14770, 137, 26796])).
% 51.06/33.76 tff(26812,plain,
% 51.06/33.76 (~m_processor_v_state(c_p0, s9, c_shared)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[14766, 121, 26796])).
% 51.06/33.76 tff(26813,plain,
% 51.06/33.76 (m_processor_v_waiting(c_p1, s7)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[25475, 26808, 673, 26792, 26805])).
% 51.06/33.76 tff(26814,plain,
% 51.06/33.76 (m_processor_v_cmd(c_p1, s7, c_idle)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[14619, 26778])).
% 51.06/33.76 tff(26815,plain,
% 51.06/33.76 (node8(s7)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[14647, 26814, 26777])).
% 51.06/33.76 tff(26816,plain,
% 51.06/33.76 (m_processor_v_state(c_p0, s7, c_owned)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[25924, 26793, 26800])).
% 51.06/33.76 tff(26817,plain,
% 51.06/33.76 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | (m_processor_v_master(c_p0, s6) | (~node42(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | m_processor_v_master(c_p0, s6) | (~node42(c_p0, s6)))),
% 51.06/33.76 inference(rewrite,[status(thm)],[])).
% 51.06/33.76 tff(26818,plain,
% 51.06/33.76 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | (m_processor_v_master(c_p0, s6) | (~node42(c_p0, s6)))),
% 51.06/33.76 inference(quant_inst,[status(thm)],[])).
% 51.06/33.76 tff(26819,plain,
% 51.06/33.76 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | m_processor_v_master(c_p0, s6) | (~node42(c_p0, s6))),
% 51.06/33.76 inference(modus_ponens,[status(thm)],[26818, 26817])).
% 51.06/33.76 tff(26820,plain,
% 51.06/33.76 (~node42(c_p0, s6)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[26819, 8170, 26793])).
% 51.06/33.76 tff(26821,plain,
% 51.06/33.76 (~node32(c_p1, s6, s7)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[13447, 26808, 18159])).
% 51.06/33.76 tff(26822,plain,
% 51.06/33.76 (~m_processor_v_abort(c_p1, s6)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[13472, 26821])).
% 51.06/33.76 tff(26823,plain,
% 51.06/33.76 (node34(c_p1, s6, s7)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[25524, 26822, 26792])).
% 51.06/33.76 tff(26824,plain,
% 51.06/33.76 (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[25514, 26823, 26805])).
% 51.06/33.76 tff(26825,plain,
% 51.06/33.76 (~m_main_v_CMD(s6, c_read_h_shared)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[18379, 26824])).
% 51.06/33.76 tff(26826,plain,
% 51.06/33.76 (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[18385, 26825])).
% 51.06/33.76 tff(26827,plain,
% 51.06/33.76 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | (m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~node40(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~node40(c_p0, s6)))),
% 51.06/33.76 inference(rewrite,[status(thm)],[])).
% 51.06/33.76 tff(26828,plain,
% 51.06/33.76 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | (m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~node40(c_p0, s6)))),
% 51.06/33.76 inference(quant_inst,[status(thm)],[])).
% 51.06/33.76 tff(26829,plain,
% 51.06/33.76 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~node40(c_p0, s6))),
% 51.06/33.76 inference(modus_ponens,[status(thm)],[26828, 26827])).
% 51.06/33.76 tff(26830,plain,
% 51.06/33.76 (~node40(c_p0, s6)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[26829, 8367, 26826])).
% 51.06/33.76 tff(26831,plain,
% 51.06/33.76 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | (m_processor_v_master(c_p0, s6) | (~node43(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | m_processor_v_master(c_p0, s6) | (~node43(c_p0, s6)))),
% 51.06/33.76 inference(rewrite,[status(thm)],[])).
% 51.06/33.76 tff(26832,plain,
% 51.06/33.76 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | (m_processor_v_master(c_p0, s6) | (~node43(c_p0, s6)))),
% 51.06/33.76 inference(quant_inst,[status(thm)],[])).
% 51.06/33.76 tff(26833,plain,
% 51.06/33.76 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | m_processor_v_master(c_p0, s6) | (~node43(c_p0, s6))),
% 51.06/33.76 inference(modus_ponens,[status(thm)],[26832, 26831])).
% 51.06/33.76 tff(26834,plain,
% 51.06/33.76 (~node43(c_p0, s6)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[26833, 8159, 26793])).
% 51.06/33.76 tff(26835,plain,
% 51.06/33.76 (node60(c_p1, s6)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[18324, 26822])).
% 51.06/33.76 tff(26836,plain,
% 51.06/33.76 (m_main_v_CMD(s6, c_read_h_owned)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[25526, 26808, 18159, 26805, 26792])).
% 51.06/33.76 tff(26837,plain,
% 51.06/33.76 (m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[16254, 26836])).
% 51.06/33.76 tff(26838,plain,
% 51.06/33.76 (~node59(c_p1, s6)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[18342, 26837])).
% 51.06/33.76 tff(26839,plain,
% 51.06/33.76 (~m_processor_v_abort(c_p0, s6)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[25955, 26838, 26835])).
% 51.06/33.76 tff(26840,plain,
% 51.06/33.76 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | (m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~node41(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~node41(c_p0, s6)))),
% 51.06/33.76 inference(rewrite,[status(thm)],[])).
% 51.06/33.76 tff(26841,plain,
% 51.06/33.76 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | (m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~node41(c_p0, s6)))),
% 51.06/33.76 inference(quant_inst,[status(thm)],[])).
% 51.06/33.76 tff(26842,plain,
% 51.06/33.76 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | (~node41(c_p0, s6))),
% 51.06/33.76 inference(modus_ponens,[status(thm)],[26841, 26840])).
% 51.06/33.76 tff(26843,plain,
% 51.06/33.76 (~node41(c_p0, s6)),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[26842, 8378, 26826])).
% 51.06/33.76 tff(26844,assumption,(~node44(c_p0, s6, s7)), introduced(assumption)).
% 51.06/33.76 tff(26845,assumption,(~node42(c_p0, s6)), introduced(assumption)).
% 51.06/33.76 tff(26846,assumption,(~node43(c_p0, s6)), introduced(assumption)).
% 51.06/33.76 tff(26847,assumption,(~node40(c_p0, s6)), introduced(assumption)).
% 51.06/33.76 tff(26848,assumption,(~node41(c_p0, s6)), introduced(assumption)).
% 51.06/33.76 tff(26849,assumption,(~node45(c_p0, s6, s7)), introduced(assumption)).
% 51.06/33.76 tff(26850,plain,
% 51.06/33.76 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s6, s7)) | node45(c_p0, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s6, s7)) | node45(c_p0, s6, s7))),
% 51.06/33.76 inference(rewrite,[status(thm)],[])).
% 51.06/33.76 tff(26851,plain,
% 51.06/33.76 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s6, s7)) | node45(c_p0, s6, s7))),
% 51.06/33.76 inference(quant_inst,[status(thm)],[])).
% 51.06/33.76 tff(26852,plain,
% 51.06/33.76 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s6, s7)) | node45(c_p0, s6, s7)),
% 51.06/33.76 inference(modus_ponens,[status(thm)],[26851, 26850])).
% 51.06/33.76 tff(26853,plain,
% 51.06/33.76 ($false),
% 51.06/33.76 inference(unit_resolution,[status(thm)],[26852, 7503, 2344, 26849])).
% 51.06/33.76 tff(26854,plain,(node45(c_p0, s6, s7)), inference(lemma,lemma(discharge,[]))).
% 51.06/33.76 tff(26855,plain,
% 51.06/33.76 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s6) | node41(c_p0, s6) | node40(c_p0, s6) | node43(c_p0, s6) | node42(c_p0, s6) | node44(c_p0, s6, s7) | (~node45(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p0, s6) | node41(c_p0, s6) | node40(c_p0, s6) | node43(c_p0, s6) | node42(c_p0, s6) | node44(c_p0, s6, s7) | (~node45(c_p0, s6, s7)))),
% 51.06/33.76 inference(rewrite,[status(thm)],[])).
% 51.06/33.76 tff(26856,plain,
% 51.06/33.76 ((m_processor_v_abort(c_p0, s6) | node40(c_p0, s6) | node41(c_p0, s6) | node42(c_p0, s6) | node43(c_p0, s6) | node44(c_p0, s6, s7) | (~node45(c_p0, s6, s7))) <=> (m_processor_v_abort(c_p0, s6) | node41(c_p0, s6) | node40(c_p0, s6) | node43(c_p0, s6) | node42(c_p0, s6) | node44(c_p0, s6, s7) | (~node45(c_p0, s6, s7)))),
% 51.06/33.76 inference(rewrite,[status(thm)],[])).
% 51.06/33.76 tff(26857,plain,
% 51.06/33.76 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s6) | node40(c_p0, s6) | node41(c_p0, s6) | node42(c_p0, s6) | node43(c_p0, s6) | node44(c_p0, s6, s7) | (~node45(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s6) | node41(c_p0, s6) | node40(c_p0, s6) | node43(c_p0, s6) | node42(c_p0, s6) | node44(c_p0, s6, s7) | (~node45(c_p0, s6, s7))))),
% 51.06/33.76 inference(monotonicity,[status(thm)],[26856])).
% 51.06/33.76 tff(26858,plain,
% 51.06/33.76 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s6) | node40(c_p0, s6) | node41(c_p0, s6) | node42(c_p0, s6) | node43(c_p0, s6) | node44(c_p0, s6, s7) | (~node45(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p0, s6) | node41(c_p0, s6) | node40(c_p0, s6) | node43(c_p0, s6) | node42(c_p0, s6) | node44(c_p0, s6, s7) | (~node45(c_p0, s6, s7)))),
% 51.06/33.76 inference(transitivity,[status(thm)],[26857, 26855])).
% 51.06/33.76 tff(26859,plain,
% 51.06/33.76 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s6) | node40(c_p0, s6) | node41(c_p0, s6) | node42(c_p0, s6) | node43(c_p0, s6) | node44(c_p0, s6, s7) | (~node45(c_p0, s6, s7)))),
% 51.15/33.76 inference(quant_inst,[status(thm)],[])).
% 51.15/33.76 tff(26860,plain,
% 51.15/33.76 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p0, s6) | node41(c_p0, s6) | node40(c_p0, s6) | node43(c_p0, s6) | node42(c_p0, s6) | node44(c_p0, s6, s7) | (~node45(c_p0, s6, s7))),
% 51.15/33.76 inference(modus_ponens,[status(thm)],[26859, 26858])).
% 51.15/33.76 tff(26861,plain,
% 51.15/33.76 ($false),
% 51.15/33.76 inference(unit_resolution,[status(thm)],[26860, 7596, 14200, 26854, 26848, 26847, 26846, 26845, 26844])).
% 51.15/33.76 tff(26862,plain,(node44(c_p0, s6, s7) | m_processor_v_abort(c_p0, s6) | node41(c_p0, s6) | node40(c_p0, s6) | node43(c_p0, s6) | node42(c_p0, s6)), inference(lemma,lemma(discharge,[]))).
% 51.15/33.76 tff(26863,plain,
% 51.15/33.76 (node44(c_p0, s6, s7)),
% 51.15/33.76 inference(unit_resolution,[status(thm)],[26862, 26843, 26839, 26834, 26830, 26820])).
% 51.15/33.76 tff(26864,plain,
% 51.15/33.76 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | (m_processor_v_state(c_p0, s4, c_owned) | (~node41(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | m_processor_v_state(c_p0, s4, c_owned) | (~node41(c_p0, s4)))),
% 51.15/33.76 inference(rewrite,[status(thm)],[])).
% 51.15/33.76 tff(26865,plain,
% 51.15/33.76 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | (m_processor_v_state(c_p0, s4, c_owned) | (~node41(c_p0, s4)))),
% 51.15/33.76 inference(quant_inst,[status(thm)],[])).
% 51.15/33.76 tff(26866,plain,
% 51.15/33.76 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | m_processor_v_state(c_p0, s4, c_owned) | (~node41(c_p0, s4))),
% 51.15/33.76 inference(modus_ponens,[status(thm)],[26865, 26864])).
% 51.15/33.76 tff(26867,plain,
% 51.15/33.76 (~node41(c_p0, s4)),
% 51.15/33.76 inference(unit_resolution,[status(thm)],[26866, 7548, 54])).
% 51.15/33.76 tff(26868,plain,
% 51.15/33.76 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | (m_processor_v_state(c_p0, s4, c_owned) | (~node40(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | m_processor_v_state(c_p0, s4, c_owned) | (~node40(c_p0, s4)))),
% 51.15/33.76 inference(rewrite,[status(thm)],[])).
% 51.15/33.76 tff(26869,plain,
% 51.15/33.76 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | (m_processor_v_state(c_p0, s4, c_owned) | (~node40(c_p0, s4)))),
% 51.15/33.76 inference(quant_inst,[status(thm)],[])).
% 51.15/33.76 tff(26870,plain,
% 51.15/33.76 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | m_processor_v_state(c_p0, s4, c_owned) | (~node40(c_p0, s4))),
% 51.15/33.76 inference(modus_ponens,[status(thm)],[26869, 26868])).
% 51.15/33.76 tff(26871,plain,
% 51.15/33.76 (~node40(c_p0, s4)),
% 51.15/33.76 inference(unit_resolution,[status(thm)],[26870, 7535, 54])).
% 51.15/33.76 tff(26872,plain,
% 51.15/33.76 (~m_processor_v_state(c_p0, s3, c_owned)),
% 51.15/33.76 inference(unit_resolution,[status(thm)],[16514, 54, 9405])).
% 51.15/33.76 tff(26873,plain,
% 51.15/33.76 (~node44(c_p0, s2, s3)),
% 51.15/33.76 inference(unit_resolution,[status(thm)],[21177, 21135, 21134])).
% 51.15/33.76 tff(26874,plain,
% 51.15/33.76 (~node39(c_p0, s2, s3)),
% 51.15/33.76 inference(unit_resolution,[status(thm)],[21143, 21135, 21134])).
% 51.15/33.76 tff(26875,plain,
% 51.15/33.76 (~m_processor_v_abort(c_p0, s2)),
% 51.15/33.76 inference(unit_resolution,[status(thm)],[21152, 26874])).
% 51.15/33.76 tff(26876,plain,
% 51.15/33.76 (m_processor_v_master(c_p0, s2)),
% 51.15/33.76 inference(unit_resolution,[status(thm)],[11286, 5500, 11249, 2642])).
% 51.15/33.76 tff(26877,plain,
% 51.15/33.76 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))) | ((~m_processor_v_master(c_p0, s2)) | (~node41(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))) | (~m_processor_v_master(c_p0, s2)) | (~node41(c_p0, s2)))),
% 51.15/33.76 inference(rewrite,[status(thm)],[])).
% 51.15/33.76 tff(26878,plain,
% 51.15/33.76 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))) | ((~m_processor_v_master(c_p0, s2)) | (~node41(c_p0, s2)))),
% 51.15/33.76 inference(quant_inst,[status(thm)],[])).
% 51.15/33.76 tff(26879,plain,
% 51.15/33.76 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))) | (~m_processor_v_master(c_p0, s2)) | (~node41(c_p0, s2))),
% 51.15/33.76 inference(modus_ponens,[status(thm)],[26878, 26877])).
% 51.15/33.76 tff(26880,plain,
% 51.15/33.76 (~node41(c_p0, s2)),
% 51.15/33.76 inference(unit_resolution,[status(thm)],[26879, 8080, 26876])).
% 51.15/33.76 tff(26881,plain,
% 51.15/33.76 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))) | ((~m_processor_v_master(c_p0, s2)) | (~node40(c_p0, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))) | (~m_processor_v_master(c_p0, s2)) | (~node40(c_p0, s2)))),
% 51.15/33.76 inference(rewrite,[status(thm)],[])).
% 51.15/33.76 tff(26882,plain,
% 51.15/33.76 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))) | ((~m_processor_v_master(c_p0, s2)) | (~node40(c_p0, s2)))),
% 51.15/33.76 inference(quant_inst,[status(thm)],[])).
% 51.15/33.76 tff(26883,plain,
% 51.15/33.76 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))) | (~m_processor_v_master(c_p0, s2)) | (~node40(c_p0, s2))),
% 51.15/33.76 inference(modus_ponens,[status(thm)],[26882, 26881])).
% 51.15/33.76 tff(26884,plain,
% 51.15/33.76 (~node40(c_p0, s2)),
% 51.15/33.76 inference(unit_resolution,[status(thm)],[26883, 8069, 26876])).
% 51.15/33.76 tff(26885,plain,
% 51.15/33.76 (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)),
% 51.15/33.76 inference(unit_resolution,[status(thm)],[21192, 26880, 21134, 26876, 26884, 5500])).
% 51.15/33.76 tff(26886,plain,
% 51.15/33.76 (~node42(c_p0, s2)),
% 51.15/33.76 inference(unit_resolution,[status(thm)],[11317, 7579, 26885])).
% 51.15/33.76 tff(26887,plain,
% 51.15/33.76 (node43(c_p0, s2)),
% 51.15/33.76 inference(unit_resolution,[status(thm)],[11278, 26886, 11249, 5500, 26884, 26880])).
% 51.15/33.76 tff(26888,plain,
% 51.15/33.76 (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)),
% 51.15/33.76 inference(unit_resolution,[status(thm)],[21201, 26886, 21134, 26876, 26880, 26884, 5500])).
% 51.15/33.76 tff(26889,plain,
% 51.15/33.76 ($false),
% 51.15/33.76 inference(unit_resolution,[status(thm)],[11309, 7631, 26888, 26887])).
% 51.15/33.76 tff(26890,plain,(m_processor_v_abort(c_p0, s2) | node44(c_p0, s2, s3) | m_processor_v_snoop(c_p0, s3, c_invalid) | m_processor_v_state(c_p0, s3, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.15/33.76 tff(26891,plain,
% 51.15/33.76 ($false),
% 51.15/33.76 inference(unit_resolution,[status(thm)],[26890, 26875, 26873, 2642, 21134])).
% 51.15/33.76 tff(26892,plain,((~m_processor_v_snoop(c_p0, s2, c_invalid)) | m_processor_v_state(c_p0, s3, c_owned) | m_processor_v_snoop(c_p0, s3, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.15/33.76 tff(26893,plain,
% 51.15/33.76 (m_processor_v_state(c_p0, s3, c_owned) | m_processor_v_snoop(c_p0, s3, c_invalid)),
% 51.15/33.76 inference(unit_resolution,[status(thm)],[26892, 11198])).
% 51.15/33.76 tff(26894,plain,
% 51.15/33.76 (m_processor_v_snoop(c_p0, s3, c_invalid)),
% 51.15/33.76 inference(unit_resolution,[status(thm)],[26893, 26872])).
% 51.15/33.76 tff(26895,plain,
% 51.15/33.76 (~node39(c_p0, s3, s4)),
% 51.15/33.76 inference(unit_resolution,[status(thm)],[22148, 26894, 19868])).
% 51.15/33.76 tff(26896,plain,
% 51.15/33.76 (~node44(c_p0, s3, s4)),
% 51.15/33.76 inference(unit_resolution,[status(thm)],[21131, 26894, 19868])).
% 51.15/33.76 tff(26897,plain,
% 51.15/33.76 (~m_processor_v_state(c_p0, s3, c_owned)),
% 51.15/33.76 inference(unit_resolution,[status(thm)],[16514, 9405, 54])).
% 51.15/33.76 tff(26898,plain,
% 51.15/33.76 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | (m_processor_v_state(c_p0, s3, c_owned) | (~node41(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | m_processor_v_state(c_p0, s3, c_owned) | (~node41(c_p0, s3)))),
% 51.15/33.76 inference(rewrite,[status(thm)],[])).
% 51.15/33.76 tff(26899,plain,
% 51.15/33.76 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | (m_processor_v_state(c_p0, s3, c_owned) | (~node41(c_p0, s3)))),
% 51.15/33.76 inference(quant_inst,[status(thm)],[])).
% 51.15/33.76 tff(26900,plain,
% 51.15/33.76 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node41(I0, X)))) | m_processor_v_state(c_p0, s3, c_owned) | (~node41(c_p0, s3))),
% 51.15/33.76 inference(modus_ponens,[status(thm)],[26899, 26898])).
% 51.15/33.76 tff(26901,plain,
% 51.15/33.76 (~node41(c_p0, s3)),
% 51.15/33.76 inference(unit_resolution,[status(thm)],[26900, 7548, 26897])).
% 51.15/33.76 tff(26902,plain,
% 51.15/33.76 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | (m_processor_v_state(c_p0, s3, c_owned) | (~node40(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | m_processor_v_state(c_p0, s3, c_owned) | (~node40(c_p0, s3)))),
% 51.15/33.77 inference(rewrite,[status(thm)],[])).
% 51.15/33.77 tff(26903,plain,
% 51.15/33.77 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | (m_processor_v_state(c_p0, s3, c_owned) | (~node40(c_p0, s3)))),
% 51.15/33.77 inference(quant_inst,[status(thm)],[])).
% 51.15/33.77 tff(26904,plain,
% 51.15/33.77 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node40(I0, X)))) | m_processor_v_state(c_p0, s3, c_owned) | (~node40(c_p0, s3))),
% 51.15/33.77 inference(modus_ponens,[status(thm)],[26903, 26902])).
% 51.15/33.77 tff(26905,plain,
% 51.15/33.77 (~node40(c_p0, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[26904, 7535, 26897])).
% 51.15/33.77 tff(26906,plain,
% 51.15/33.77 ($false),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[19795, 26905, 19782, 19783, 9678, 26901, 19778])).
% 51.15/33.77 tff(26907,plain,(m_processor_v_master(c_p0, s3) | node44(c_p0, s3, s4) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p0, s4, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.15/33.77 tff(26908,plain,
% 51.15/33.77 (m_processor_v_abort(c_p0, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[26907, 26896, 9405, 54])).
% 51.15/33.77 tff(26909,plain,
% 51.15/33.77 ($false),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[22156, 26908, 26895])).
% 51.15/33.77 tff(26910,plain,(m_processor_v_state(c_p0, s4, c_owned) | m_processor_v_master(c_p0, s3) | m_processor_v_snoop(c_p0, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.15/33.77 tff(26911,plain,
% 51.15/33.77 (m_processor_v_master(c_p0, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[26910, 19868, 54])).
% 51.15/33.77 tff(26912,plain,
% 51.15/33.77 (~m_processor_v_snoop(c_p0, s3, c_invalid)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[22195, 26911, 19868])).
% 51.15/33.77 tff(26913,plain,
% 51.15/33.77 (~node39(c_p0, s2, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[21144, 26912])).
% 51.15/33.77 tff(26914,plain,
% 51.15/33.77 (~m_processor_v_abort(c_p0, s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[21152, 26913])).
% 51.15/33.77 tff(26915,plain,
% 51.15/33.77 (m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[21205, 26912])).
% 51.15/33.77 tff(26916,plain,
% 51.15/33.77 (m_processor_v_state(c_p0, s3, c_owned)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[26893, 26912])).
% 51.15/33.77 tff(26917,plain,
% 51.15/33.77 (m_processor_v_state(c_p1, s2, c_invalid)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[22219, 26912])).
% 51.15/33.77 tff(26918,plain,
% 51.15/33.77 (~m_processor_v_state(c_p1, s2, c_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[5081, 26917])).
% 51.15/33.77 tff(26919,plain,
% 51.15/33.77 (m_processor_v_state(c_p1, s2, c_invalid)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[22219, 21134])).
% 51.15/33.77 tff(26920,plain,
% 51.15/33.77 (m_main_v_CMD(s2, c_read_h_owned)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[5372, 26919, 2595])).
% 51.15/33.77 tff(26921,plain,
% 51.15/33.77 (m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[21205, 21134])).
% 51.15/33.77 tff(26922,plain,
% 51.15/33.77 (m_main_v_CMD(s2, c_read_h_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[17154, 26921])).
% 51.15/33.77 tff(26923,plain,
% 51.15/33.77 ($false),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[8797, 26922, 26920])).
% 51.15/33.77 tff(26924,plain,(m_processor_v_snoop(c_p0, s3, c_invalid) | (~m_processor_v_state(c_p1, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.15/33.77 tff(26925,plain,
% 51.15/33.77 (~m_processor_v_state(c_p1, s3, c_owned)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[26924, 26912])).
% 51.15/33.77 tff(26926,plain,
% 51.15/33.77 (~node41(c_p0, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[22134, 8080, 26911])).
% 51.15/33.77 tff(26927,plain,
% 51.15/33.77 (~node40(c_p0, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[22138, 8069, 26911])).
% 51.15/33.77 tff(26928,plain,
% 51.15/33.77 (~node32(c_p0, s3, s4)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[16508, 26916, 54])).
% 51.15/33.77 tff(26929,plain,
% 51.15/33.77 (~m_processor_v_abort(c_p0, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[9403, 26928])).
% 51.15/33.77 tff(26930,plain,
% 51.15/33.77 (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[22166, 26926, 26911, 19868, 26929, 26927])).
% 51.15/33.77 tff(26931,plain,
% 51.15/33.77 (~node42(c_p0, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[22170, 7579, 26930])).
% 51.15/33.77 tff(26932,plain,
% 51.15/33.77 (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[22178, 26931, 26911, 19868, 26929, 26927, 26926])).
% 51.15/33.77 tff(26933,plain,
% 51.15/33.77 (~node17(s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[9486, 26911])).
% 51.15/33.77 tff(26934,plain,
% 51.15/33.77 (~m_memory_v_master(c_m, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[9494, 26933])).
% 51.15/33.77 tff(26935,plain,
% 51.15/33.77 (~node29(c_m, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[9502, 26934])).
% 51.15/33.77 tff(26936,plain,
% 51.15/33.77 (m_memory_v_cmd(c_m, s3, c_idle)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[9510, 26935])).
% 51.15/33.77 tff(26937,plain,
% 51.15/33.77 (~node16(s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[9554, 1530, 26911])).
% 51.15/33.77 tff(26938,plain,
% 51.15/33.77 (~m_processor_v_master(c_p2, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[9562, 26937])).
% 51.15/33.77 tff(26939,plain,
% 51.15/33.77 (m_processor_v_cmd(c_p2, s3, c_idle)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[9594, 26938])).
% 51.15/33.77 tff(26940,plain,
% 51.15/33.77 (~m_processor_v_master(c_p1, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[9444, 794, 26911])).
% 51.15/33.77 tff(26941,plain,
% 51.15/33.77 (m_processor_v_cmd(c_p1, s3, c_idle)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[9478, 26940])).
% 51.15/33.77 tff(26942,plain,
% 51.15/33.77 (node8(s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[9602, 1593, 26941, 26939, 26936])).
% 51.15/33.77 tff(26943,plain,
% 51.15/33.77 (node44(c_p0, s3, s4)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[22188, 26926, 26911, 19868, 26927, 26929])).
% 51.15/33.77 tff(26944,plain,
% 51.15/33.77 (~m_main_v_CMD(s3, c_read_h_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[11518, 26941, 26916, 26936])).
% 51.15/33.77 tff(26945,plain,
% 51.15/33.77 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[11528, 26944])).
% 51.15/33.77 tff(26946,plain,
% 51.15/33.77 (~node41(c_p0, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[19799, 8378, 9540])).
% 51.15/33.77 tff(26947,plain,
% 51.15/33.77 (~node40(c_p0, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[19773, 8367, 9540])).
% 51.15/33.77 tff(26948,plain,
% 51.15/33.77 (~m_processor_v_snoop(c_p0, s3, c_invalid)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[22193, 26947, 19868, 26946])).
% 51.15/33.77 tff(26949,plain,
% 51.15/33.77 (m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[21205, 26948])).
% 51.15/33.77 tff(26950,plain,
% 51.15/33.77 (~node39(c_p0, s2, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[21144, 26948])).
% 51.15/33.77 tff(26951,plain,
% 51.15/33.77 (~m_processor_v_abort(c_p0, s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[21152, 26950])).
% 51.15/33.77 tff(26952,plain,
% 51.15/33.77 (m_main_v_CMD(s2, c_read_h_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[17154, 26949])).
% 51.15/33.77 tff(26953,plain,
% 51.15/33.77 (~m_main_v_CMD(s2, c_read_h_owned)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[8797, 26952])).
% 51.15/33.77 tff(26954,plain,
% 51.15/33.77 (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[9193, 1612, 5518, 26953])).
% 51.15/33.77 tff(26955,plain,
% 51.15/33.77 (~m_main_v_CMD(s2, c_write_h_resp_h_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[11296, 26952])).
% 51.15/33.77 tff(26956,plain,
% 51.15/33.77 (~m_main_v_CMD(s2, c_write_h_invalid)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[8961, 8958, 26952])).
% 51.15/33.77 tff(26957,plain,
% 51.15/33.77 ((~node44(c_p0, s2, s3)) | m_processor_v_snoop(c_p0, s3, c_invalid)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[21177, 11198])).
% 51.15/33.77 tff(26958,plain,
% 51.15/33.77 (~node44(c_p0, s2, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[26957, 26948])).
% 51.15/33.77 tff(26959,plain,
% 51.15/33.77 (~m_processor_v_cmd(c_p0, s2, c_write_h_resp_h_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[16622, 5597, 9005])).
% 51.15/33.77 tff(26960,plain,
% 51.15/33.77 (~m_processor_v_state(c_p0, s2, c_owned)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[16637, 26959, 9006, 5499])).
% 51.15/33.77 tff(26961,plain,
% 51.15/33.77 (node34(c_p0, s2, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[9272, 2734, 5499])).
% 51.15/33.77 tff(26962,plain,
% 51.15/33.77 (node33(c_p0, s2, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[19639, 26961, 2720, 2722, 2723])).
% 51.15/33.77 tff(26963,plain,
% 51.15/33.77 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | (~node33(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s2, c_shared)) | (~node33(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared))),
% 51.15/33.77 inference(rewrite,[status(thm)],[])).
% 51.15/33.77 tff(26964,plain,
% 51.15/33.77 (((~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared) | (~node33(c_p0, s2, s3))) <=> ((~m_processor_v_state(c_p0, s2, c_shared)) | (~node33(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared))),
% 51.15/33.77 inference(rewrite,[status(thm)],[])).
% 51.15/33.77 tff(26965,plain,
% 51.15/33.77 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared) | (~node33(c_p0, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | (~node33(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared)))),
% 51.15/33.77 inference(monotonicity,[status(thm)],[26964])).
% 51.15/33.77 tff(26966,plain,
% 51.15/33.77 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared) | (~node33(c_p0, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s2, c_shared)) | (~node33(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared))),
% 51.15/33.77 inference(transitivity,[status(thm)],[26965, 26963])).
% 51.15/33.77 tff(26967,plain,
% 51.15/33.77 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared) | (~node33(c_p0, s2, s3)))),
% 51.15/33.77 inference(quant_inst,[status(thm)],[])).
% 51.15/33.77 tff(26968,plain,
% 51.15/33.77 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p0, s2, c_shared)) | (~node33(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_shared)),
% 51.15/33.77 inference(modus_ponens,[status(thm)],[26967, 26966])).
% 51.15/33.77 tff(26969,plain,
% 51.15/33.77 ($false),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[26968, 399, 2721, 2723, 26962])).
% 51.15/33.77 tff(26970,plain,((~m_processor_v_state(c_p0, s2, c_shared)) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid) | (~m_processor_v_master(c_p0, s2))), inference(lemma,lemma(discharge,[]))).
% 51.15/33.77 tff(26971,plain,
% 51.15/33.77 (~m_processor_v_state(c_p0, s2, c_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[26970, 5499, 2723, 2720, 2722])).
% 51.15/33.77 tff(26972,plain,
% 51.15/33.77 (m_processor_v_state(c_p0, s2, c_invalid)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[16642, 26960, 26971])).
% 51.15/33.77 tff(26973,plain,
% 51.15/33.77 ($false),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[11345, 26972, 26960, 11249, 5500])).
% 51.15/33.77 tff(26974,plain,((~m_processor_v_master(c_p0, s2)) | node44(c_p0, s2, s3) | m_processor_v_abort(c_p0, s2) | m_main_v_CMD(s2, c_write_h_invalid) | m_main_v_CMD(s2, c_write_h_resp_h_shared) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_CMD(c_p0, s2, c_read_h_owned) | m_processor_v_state(c_p0, s3, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.15/33.77 tff(26975,plain,
% 51.15/33.77 (~m_processor_v_master(c_p0, s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[26974, 26958, 26951, 26956, 26955, 2662, 26954, 2666])).
% 51.15/33.77 tff(26976,plain,
% 51.15/33.77 ($false),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[19837, 20195, 2622, 12360, 5500, 11625])).
% 51.15/33.77 tff(26977,plain,(m_processor_v_master(c_p0, s2) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | m_processor_v_abort(c_p0, s2) | m_processor_v_snoop(c_p0, s3, c_shared) | (~m_processor_v_state(c_p0, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.15/33.77 tff(26978,plain,
% 51.15/33.77 (m_processor_v_snoop(c_p0, s3, c_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[26977, 26975, 26951, 26949, 2652])).
% 51.15/33.77 tff(26979,plain,
% 51.15/33.77 (~m_main_v_CMD(s2, c_write_h_resp_h_invalid)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[8937, 7915, 26952])).
% 51.15/33.77 tff(26980,plain,
% 51.15/33.77 (~m_main_v_CMD(s2, c_idle)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[20961, 8277, 26952])).
% 51.15/33.77 tff(26981,plain,
% 51.15/33.77 (m_memory_v_CMD(c_m, s2, c_read_h_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[10352, 26952])).
% 51.15/33.77 tff(26982,plain,
% 51.15/33.77 (~node30(c_m, s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[10345, 26981])).
% 51.15/33.77 tff(26983,plain,
% 51.15/33.77 (node60(c_p0, s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[10475, 26951])).
% 51.15/33.77 tff(26984,plain,
% 51.15/33.77 (~m_processor_v_REPLY_h_STALL(c_p0, s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[10468, 26983])).
% 51.15/33.77 tff(26985,plain,
% 51.15/33.77 (~m_main_v_REPLY_h_STALL(s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[10461, 26984])).
% 51.15/33.77 tff(26986,plain,
% 51.15/33.77 (node7(s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[9916, 26985])).
% 51.15/33.77 tff(26987,plain,
% 51.15/33.77 (~m_memory_v_reply_h_stall(c_m, s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[9924, 26986])).
% 51.15/33.77 tff(26988,plain,
% 51.15/33.77 (~m_memory_v_busy(c_m, s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[9933, 26987, 26982])).
% 51.15/33.77 tff(26989,plain,
% 51.15/33.77 (~node29(c_m, s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[17610, 26988])).
% 51.15/33.77 tff(26990,plain,
% 51.15/33.77 (m_memory_v_cmd(c_m, s2, c_idle)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[5195, 26989])).
% 51.15/33.77 tff(26991,plain,
% 51.15/33.77 (m_processor_v_cmd(c_p0, s2, c_idle)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[5366, 26975])).
% 51.15/33.77 tff(26992,plain,
% 51.15/33.77 (~m_processor_v_cmd(c_p1, s2, c_idle)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[16595, 26991, 26990, 26980])).
% 51.15/33.77 tff(26993,plain,
% 51.15/33.77 (m_processor_v_master(c_p1, s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[5564, 26992])).
% 51.15/33.77 tff(26994,plain,
% 51.15/33.77 (~node59(c_p0, s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[12368, 26949])).
% 51.15/33.77 tff(26995,plain,
% 51.15/33.77 (~m_processor_v_REPLY_h_WAITING(c_p0, s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[12378, 26994, 26983])).
% 51.15/33.77 tff(26996,plain,
% 51.15/33.77 (~m_main_v_REPLY_h_WAITING(s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[12384, 26995])).
% 51.15/33.77 tff(26997,plain,
% 51.15/33.77 (~node61(c_p1, s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[12395, 26996])).
% 51.15/33.77 tff(26998,plain,
% 51.15/33.77 (~m_processor_v_REPLY_h_STALL(c_p1, s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[12354, 26985])).
% 51.15/33.77 tff(26999,plain,
% 51.15/33.77 (~m_processor_v_abort(c_p1, s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[12403, 26998, 26997])).
% 51.15/33.77 tff(27000,plain,
% 51.15/33.77 (node34(c_p1, s2, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[5271, 26993, 26999])).
% 51.15/33.77 tff(27001,plain,
% 51.15/33.77 (m_processor_v_state(c_p1, s2, c_invalid)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[22219, 26948])).
% 51.15/33.77 tff(27002,plain,
% 51.15/33.77 (~m_processor_v_state(c_p1, s2, c_owned)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[5490, 27001])).
% 51.15/33.77 tff(27003,plain,
% 51.15/33.77 (~m_main_v_CMD(s2, c_write_h_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[8972, 8969, 26952])).
% 51.15/33.77 tff(27004,plain,
% 51.15/33.77 (~m_processor_v_CMD(c_p1, s2, c_write_h_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[8980, 27003])).
% 51.15/33.77 tff(27005,plain,
% 51.15/33.77 ((~m_processor_v_cmd(c_p0, s2, c_idle)) | (~node8(s2))),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[16563, 1669, 26980])).
% 51.15/33.77 tff(27006,plain,
% 51.15/33.77 (~node8(s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[27005, 26991])).
% 51.15/33.77 tff(27007,plain,
% 51.15/33.77 (node10(s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[8997, 27006, 26993])).
% 51.15/33.77 tff(27008,plain,
% 51.15/33.77 (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[5283, 416, 5277, 9011])).
% 51.15/33.77 tff(27009,plain,
% 51.15/33.77 (node33(c_p1, s2, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[9042, 27008, 5656, 9006, 9005, 9004, 9011, 8999])).
% 51.15/33.77 tff(27010,plain,
% 51.15/33.77 (~m_processor_v_state(c_p1, s2, c_invalid)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[11778, 27008, 5151, 5656, 9011, 5300])).
% 51.15/33.77 tff(27011,plain,
% 51.15/33.77 (m_processor_v_state(c_p1, s2, c_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[3117, 27010, 3112])).
% 51.15/33.77 tff(27012,plain,
% 51.15/33.77 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_shared) | (~node33(c_p1, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_shared) | (~node33(c_p1, s2, s3)))),
% 51.15/33.77 inference(rewrite,[status(thm)],[])).
% 51.15/33.77 tff(27013,plain,
% 51.15/33.77 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_shared) | (~node33(c_p1, s2, s3)))),
% 51.15/33.77 inference(quant_inst,[status(thm)],[])).
% 51.15/33.77 tff(27014,plain,
% 51.15/33.77 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p1, s2, c_shared)) | m_processor_v_state(c_p1, s3, c_shared) | (~node33(c_p1, s2, s3))),
% 51.15/33.77 inference(modus_ponens,[status(thm)],[27013, 27012])).
% 51.15/33.77 tff(27015,plain,
% 51.15/33.77 ($false),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[27014, 399, 27011, 5277, 27009])).
% 51.15/33.77 tff(27016,plain,((~node34(c_p1, s2, s3)) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s2, c_owned) | m_processor_v_state(c_p1, s3, c_owned) | m_main_v_CMD(s2, c_write_h_invalid) | m_main_v_CMD(s2, c_write_h_resp_h_shared) | m_main_v_CMD(s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p1, s2, c_write_h_shared) | (~m_processor_v_master(c_p1, s2)) | (~node10(s2))), inference(lemma,lemma(discharge,[]))).
% 51.15/33.77 tff(27017,plain,
% 51.15/33.77 (m_processor_v_state(c_p1, s3, c_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[27016, 27007, 5656, 27004, 27002, 27000, 26993, 26955, 26956, 26979])).
% 51.15/33.77 tff(27018,plain,
% 51.15/33.77 (~node32(c_p1, s3, s4)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[6667, 27017, 6657])).
% 51.15/33.77 tff(27019,plain,
% 51.15/33.77 (~m_processor_v_abort(c_p1, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[6640, 27018])).
% 51.15/33.77 tff(27020,plain,
% 51.15/33.77 (node60(c_p1, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[11803, 27019])).
% 51.15/33.77 tff(27021,plain,
% 51.15/33.77 (~node61(c_p0, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[11909, 27020, 9540])).
% 51.15/33.77 tff(27022,plain,
% 51.15/33.77 (~m_processor_v_REPLY_h_STALL(c_p1, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[12717, 27020])).
% 51.15/33.77 tff(27023,plain,
% 51.15/33.77 (~m_main_v_REPLY_h_STALL(s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[11820, 27022])).
% 51.15/33.77 tff(27024,plain,
% 51.15/33.77 (~m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[11826, 27023])).
% 51.15/33.77 tff(27025,plain,
% 51.15/33.77 (~m_processor_v_abort(c_p0, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[11875, 27024, 27021])).
% 51.15/33.77 tff(27026,plain,
% 51.15/33.77 (~m_processor_v_snoop(c_p0, s3, c_invalid)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[22193, 19784, 19868, 22158])).
% 51.15/33.77 tff(27027,plain,
% 51.15/33.77 (m_processor_v_state(c_p1, s2, c_invalid)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[22219, 27026])).
% 51.15/33.77 tff(27028,plain,
% 51.15/33.77 (~m_processor_v_state(c_p1, s2, c_owned)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[5490, 27027])).
% 51.15/33.77 tff(27029,plain,
% 51.15/33.77 (m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[21205, 27026])).
% 51.15/33.77 tff(27030,plain,
% 51.15/33.77 (~node39(c_p0, s2, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[21144, 27026])).
% 51.15/33.77 tff(27031,plain,
% 51.15/33.77 (~m_processor_v_abort(c_p0, s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[21152, 27030])).
% 51.15/33.77 tff(27032,plain,
% 51.15/33.77 (~m_processor_v_master(c_p0, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[22188, 19783, 19868, 22158, 19784, 9678])).
% 51.15/33.77 tff(27033,plain,
% 51.15/33.77 (node40(c_p0, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[19821, 9678, 9405, 19783, 2652])).
% 51.15/33.77 tff(27034,plain,
% 51.15/33.77 (m_main_v_CMD(s2, c_read_h_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[17154, 12360])).
% 51.15/33.77 tff(27035,plain,
% 51.15/33.77 (~m_main_v_CMD(s2, c_write_h_resp_h_invalid)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[8937, 7915, 27034])).
% 51.15/33.77 tff(27036,plain,
% 51.15/33.77 (~m_main_v_CMD(s2, c_write_h_invalid)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[8961, 8958, 27034])).
% 51.15/33.77 tff(27037,plain,
% 51.15/33.77 (~m_main_v_CMD(s2, c_write_h_resp_h_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[11296, 27034])).
% 51.15/33.77 tff(27038,plain,
% 51.15/33.77 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | (~node59(c_p0, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | (~node59(c_p0, s3)))),
% 51.15/33.77 inference(rewrite,[status(thm)],[])).
% 51.15/33.77 tff(27039,plain,
% 51.15/33.77 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | (~node59(c_p0, s3)))),
% 51.15/33.77 inference(quant_inst,[status(thm)],[])).
% 51.15/33.77 tff(27040,plain,
% 51.15/33.77 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | (~node59(c_p0, s3))),
% 51.15/33.77 inference(modus_ponens,[status(thm)],[27039, 27038])).
% 51.15/33.77 tff(27041,plain,
% 51.15/33.77 (~node59(c_p0, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[27040, 3834, 11520])).
% 51.15/33.77 tff(27042,plain,
% 51.15/33.77 ((~m_processor_v_REPLY_h_WAITING(c_p0, s3)) | node59(c_p0, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[21437, 724, 10488])).
% 51.15/33.77 tff(27043,plain,
% 51.15/33.77 (~m_processor_v_REPLY_h_WAITING(c_p0, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[27042, 27041])).
% 51.15/33.77 tff(27044,plain,
% 51.15/33.77 (~m_main_v_REPLY_h_WAITING(s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[21443, 27043])).
% 51.15/33.77 tff(27045,plain,
% 51.15/33.77 (node6(s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[20135, 27044])).
% 51.15/33.77 tff(27046,plain,
% 51.15/33.77 (~m_processor_v_reply_h_waiting(c_p0, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[20143, 27045])).
% 51.15/33.77 tff(27047,plain,
% 51.15/33.77 ((~m_processor_v_waiting(c_p0, s3)) | m_processor_v_reply_h_waiting(c_p0, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[20150, 2296, 9405])).
% 51.15/33.77 tff(27048,plain,
% 51.15/33.77 (~m_processor_v_waiting(c_p0, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[27047, 27046])).
% 51.15/33.77 tff(27049,plain,
% 51.15/33.77 (~m_processor_v_cmd(c_p1, s2, c_idle)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[20963, 27048, 27034, 5500])).
% 51.15/33.77 tff(27050,plain,
% 51.15/33.77 (m_processor_v_master(c_p1, s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[5564, 27049])).
% 51.15/33.77 tff(27051,plain,
% 51.15/33.77 (~m_main_v_CMD(s2, c_write_h_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[8972, 8969, 27034])).
% 51.15/33.77 tff(27052,plain,
% 51.15/33.77 (~m_processor_v_CMD(c_p1, s2, c_write_h_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[8980, 27051])).
% 51.15/33.77 tff(27053,plain,
% 51.15/33.77 (~m_processor_v_master(c_p0, s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[5512, 27048, 12360, 5500])).
% 51.15/33.77 tff(27054,plain,
% 51.15/33.77 (m_processor_v_cmd(c_p0, s2, c_idle)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[5366, 27053])).
% 51.15/33.77 tff(27055,plain,
% 51.15/33.77 (~m_main_v_CMD(s2, c_idle)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[20961, 8277, 27034])).
% 51.15/33.77 tff(27056,plain,
% 51.15/33.77 ((~m_processor_v_cmd(c_p0, s2, c_idle)) | (~node8(s2))),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[16563, 1669, 27055])).
% 51.15/33.77 tff(27057,plain,
% 51.15/33.77 (~node8(s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[27056, 27054])).
% 51.15/33.77 tff(27058,plain,
% 51.15/33.77 (node10(s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[8997, 27057, 27050])).
% 51.15/33.77 tff(27059,plain,
% 51.15/33.77 (~node59(c_p0, s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[12368, 12360])).
% 51.15/33.77 tff(27060,plain,
% 51.15/33.77 (~m_processor_v_REPLY_h_WAITING(c_p0, s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[12378, 27059, 20728])).
% 51.15/33.77 tff(27061,plain,
% 51.15/33.77 (~m_main_v_REPLY_h_WAITING(s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[12384, 27060])).
% 51.15/33.77 tff(27062,plain,
% 51.15/33.77 (~node61(c_p1, s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[12395, 27061])).
% 51.15/33.77 tff(27063,plain,
% 51.15/33.77 (~m_processor_v_REPLY_h_STALL(c_p1, s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[12354, 20733])).
% 51.15/33.77 tff(27064,plain,
% 51.15/33.77 (~m_processor_v_abort(c_p1, s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[12403, 27063, 27062])).
% 51.15/33.77 tff(27065,plain,
% 51.15/33.77 (node34(c_p1, s2, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[5271, 27050, 27064])).
% 51.15/33.77 tff(27066,plain,
% 51.15/33.77 (m_processor_v_state(c_p1, s3, c_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[27016, 27065, 5656, 3112, 27058, 27052, 27050, 27037, 27036, 27035])).
% 51.15/33.77 tff(27067,plain,
% 51.15/33.77 (m_main_v_CMD(s3, c_read_h_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[11528, 11520])).
% 51.15/33.77 tff(27068,plain,
% 51.15/33.77 (~m_main_v_CMD(s3, c_read_h_owned)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[17282, 6497, 27067])).
% 51.15/33.77 tff(27069,plain,
% 51.15/33.77 (m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[5298, 27034])).
% 51.15/33.77 tff(27070,plain,
% 51.15/33.77 (m_processor_v_waiting(c_p1, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[5415, 27050, 27069, 27064])).
% 51.15/33.77 tff(27071,plain,
% 51.15/33.77 (~m_processor_v_reply_h_waiting(c_p1, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[21451, 27045])).
% 51.15/33.77 tff(27072,plain,
% 51.15/33.77 (m_processor_v_master(c_p1, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[21458, 2296, 27071, 27070])).
% 51.15/33.77 tff(27073,plain,
% 51.15/33.77 ($false),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[19735, 27072, 27068, 27066, 11531])).
% 51.15/33.77 tff(27074,plain,((~m_processor_v_CMD(c_p0, s3, c_read_h_shared)) | m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_state(c_p1, s2, c_owned) | m_processor_v_abort(c_p0, s2) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | m_processor_v_master(c_p0, s3) | (~node60(c_p0, s3))), inference(lemma,lemma(discharge,[]))).
% 51.15/33.77 tff(27075,plain,
% 51.15/33.77 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[27074, 22071, 3112, 5500, 12360, 9405, 5656])).
% 51.15/33.77 tff(27076,plain,
% 51.15/33.77 ($false),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[19773, 8367, 27075, 27033])).
% 51.15/33.77 tff(27077,plain,(m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p1, s2, c_owned) | m_processor_v_abort(c_p0, s2) | (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)) | m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p1, s3, c_owned) | node44(c_p0, s3, s4) | (~m_processor_v_state(c_p0, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.15/33.77 tff(27078,plain,
% 51.15/33.77 ($false),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[27077, 27032, 19783, 27031, 27029, 9678, 5656, 27028, 2652])).
% 51.15/33.77 tff(27079,plain,(node44(c_p0, s3, s4) | m_processor_v_abort(c_p0, s3) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_snoop(c_p0, s4, c_invalid) | node41(c_p0, s3) | node40(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 51.15/33.77 tff(27080,plain,
% 51.15/33.77 (node44(c_p0, s3, s4)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[27079, 27025, 5656, 2652, 19868, 26946, 26947])).
% 51.15/33.77 tff(27081,plain,
% 51.15/33.77 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | ((~m_processor_v_snoop(c_p0, s3, c_shared)) | m_processor_v_snoop(c_p0, s4, c_shared) | (~node44(c_p0, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | (~m_processor_v_snoop(c_p0, s3, c_shared)) | m_processor_v_snoop(c_p0, s4, c_shared) | (~node44(c_p0, s3, s4)))),
% 51.15/33.77 inference(rewrite,[status(thm)],[])).
% 51.15/33.77 tff(27082,plain,
% 51.15/33.77 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | ((~m_processor_v_snoop(c_p0, s3, c_shared)) | m_processor_v_snoop(c_p0, s4, c_shared) | (~node44(c_p0, s3, s4)))),
% 51.15/33.77 inference(quant_inst,[status(thm)],[])).
% 51.15/33.77 tff(27083,plain,
% 51.15/33.77 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | (~m_processor_v_snoop(c_p0, s3, c_shared)) | m_processor_v_snoop(c_p0, s4, c_shared) | (~node44(c_p0, s3, s4))),
% 51.15/33.77 inference(modus_ponens,[status(thm)],[27082, 27081])).
% 51.15/33.77 tff(27084,plain,
% 51.15/33.77 ($false),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[27083, 7470, 22927, 27080, 26978])).
% 51.15/33.77 tff(27085,plain,(m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_snoop(c_p0, s4, c_shared) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_snoop(c_p0, s4, c_invalid) | m_processor_v_state(c_p1, s4, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.15/33.77 tff(27086,plain,
% 51.15/33.77 (m_processor_v_snoop(c_p0, s4, c_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[27085, 26945, 19868, 26916, 5656, 6657])).
% 51.15/33.77 tff(27087,plain,
% 51.15/33.77 (m_processor_v_snoop(c_p0, s3, c_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[22103, 27086, 26943])).
% 51.15/33.77 tff(27088,plain,
% 51.15/33.77 (~m_processor_v_snoop(c_p0, s3, c_owned)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[19841, 8775, 27087])).
% 51.15/33.77 tff(27089,plain,
% 51.15/33.77 (m_processor_v_snoop(c_p0, s3, c_invalid) | m_processor_v_snoop(c_p0, s3, c_shared) | m_processor_v_snoop(c_p0, s3, c_owned)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[11633, 7213])).
% 51.15/33.77 tff(27090,plain,
% 51.15/33.77 (m_processor_v_snoop(c_p0, s3, c_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[27089, 11626, 21134])).
% 51.15/33.77 tff(27091,plain,
% 51.15/33.77 (node62(c_p0, s3) | node64(c_p0, s3) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s3, c_shared))),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[11446, 7256, 2652, 11410])).
% 51.15/33.77 tff(27092,plain,
% 51.15/33.77 (node64(c_p0, s3)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[27091, 27090, 11425, 9481, 11427])).
% 51.15/33.77 tff(27093,plain,
% 51.15/33.77 ($false),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[11439, 4082, 27092, 11626])).
% 51.15/33.77 tff(27094,plain,(m_processor_v_snoop(c_p0, s3, c_owned) | (~m_processor_v_master(c_p0, s3)) | m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_snoop(c_p0, s3, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.15/33.77 tff(27095,plain,
% 51.15/33.77 (m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[27094, 27088, 26911, 26916, 26912])).
% 51.15/33.77 tff(27096,plain,
% 51.15/33.77 (m_main_v_CMD(s3, c_write_h_resp_h_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[11420, 27095, 26942])).
% 51.15/33.77 tff(27097,plain,
% 51.15/33.77 ($false),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[11944, 27096, 26932])).
% 51.15/33.77 tff(27098,plain,(m_processor_v_snoop(c_p0, s4, c_invalid) | m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p0, s4, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.15/33.77 tff(27099,plain,
% 51.15/33.77 (m_processor_v_state(c_p1, s4, c_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[27098, 26925, 19868, 54])).
% 51.15/33.77 tff(27100,plain,
% 51.15/33.77 (m_processor_v_state(c_p1, s3, c_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[17386, 26940, 27099])).
% 51.15/33.77 tff(27101,plain,
% 51.15/33.77 (m_processor_v_master(c_p1, s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[11751, 27100, 26918])).
% 51.15/33.77 tff(27102,plain,
% 51.15/33.77 (~m_processor_v_master(c_p0, s2)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[5370, 794, 27101])).
% 51.15/33.77 tff(27103,plain,
% 51.15/33.77 (m_processor_v_snoop(c_p0, s3, c_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[26977, 27102, 26916, 26915, 26914])).
% 51.15/33.77 tff(27104,plain,
% 51.15/33.77 (~m_main_v_CMD(s3, c_write_h_resp_h_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[11944, 26932])).
% 51.15/33.77 tff(27105,plain,
% 51.15/33.77 (~m_processor_v_cmd(c_p0, s3, c_write_h_resp_h_shared)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[11420, 27104, 26942])).
% 51.15/33.77 tff(27106,plain,
% 51.15/33.77 (m_processor_v_snoop(c_p0, s3, c_owned)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[27094, 27105, 26911, 26916, 26912])).
% 51.15/33.77 tff(27107,plain,
% 51.15/33.77 ($false),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[19841, 8775, 27106, 27103])).
% 51.15/33.77 tff(27108,plain,(m_processor_v_snoop(c_p0, s4, c_invalid) | m_processor_v_state(c_p0, s4, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.15/33.77 tff(27109,plain,
% 51.15/33.77 (m_processor_v_snoop(c_p0, s4, c_invalid)),
% 51.15/33.77 inference(unit_resolution,[status(thm)],[27108, 54])).
% 51.15/33.77 tff(27110,assumption,(~node41(c_p0, s4)), introduced(assumption)).
% 51.15/33.77 tff(27111,assumption,(~m_processor_v_snoop(c_p0, s5, c_invalid)), introduced(assumption)).
% 51.15/33.77 tff(27112,assumption,(~node40(c_p0, s4)), introduced(assumption)).
% 51.15/33.77 tff(27113,assumption,(node39(c_p0, s4, s5)), introduced(assumption)).
% 51.15/33.77 tff(27114,plain,
% 51.15/33.77 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~m_processor_v_snoop(c_p0, s4, c_invalid)) | m_processor_v_snoop(c_p0, s5, c_invalid) | (~node39(c_p0, s4, s5)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | m_processor_v_snoop(c_p0, s5, c_invalid) | (~node39(c_p0, s4, s5)))),
% 51.15/33.78 inference(rewrite,[status(thm)],[])).
% 51.15/33.78 tff(27115,plain,
% 51.15/33.78 (((~node39(c_p0, s4, s5)) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | m_processor_v_snoop(c_p0, s5, c_invalid)) <=> ((~m_processor_v_snoop(c_p0, s4, c_invalid)) | m_processor_v_snoop(c_p0, s5, c_invalid) | (~node39(c_p0, s4, s5)))),
% 51.15/33.78 inference(rewrite,[status(thm)],[])).
% 51.15/33.78 tff(27116,plain,
% 51.15/33.78 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p0, s4, s5)) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | m_processor_v_snoop(c_p0, s5, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~m_processor_v_snoop(c_p0, s4, c_invalid)) | m_processor_v_snoop(c_p0, s5, c_invalid) | (~node39(c_p0, s4, s5))))),
% 51.15/33.78 inference(monotonicity,[status(thm)],[27115])).
% 51.15/33.78 tff(27117,plain,
% 51.15/33.78 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p0, s4, s5)) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | m_processor_v_snoop(c_p0, s5, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | m_processor_v_snoop(c_p0, s5, c_invalid) | (~node39(c_p0, s4, s5)))),
% 51.15/33.78 inference(transitivity,[status(thm)],[27116, 27114])).
% 51.15/33.78 tff(27118,plain,
% 51.15/33.78 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p0, s4, s5)) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | m_processor_v_snoop(c_p0, s5, c_invalid))),
% 51.15/33.78 inference(quant_inst,[status(thm)],[])).
% 51.15/33.78 tff(27119,plain,
% 51.15/33.78 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | m_processor_v_snoop(c_p0, s5, c_invalid) | (~node39(c_p0, s4, s5))),
% 51.15/33.78 inference(modus_ponens,[status(thm)],[27118, 27117])).
% 51.15/33.78 tff(27120,plain,
% 51.15/33.78 ($false),
% 51.15/33.78 inference(unit_resolution,[status(thm)],[27119, 7486, 21053, 27111, 27113])).
% 51.15/33.78 tff(27121,plain,((~m_processor_v_snoop(c_p0, s4, c_invalid)) | m_processor_v_snoop(c_p0, s5, c_invalid) | (~node39(c_p0, s4, s5))), inference(lemma,lemma(discharge,[]))).
% 51.15/33.78 tff(27122,plain,
% 51.15/33.78 (~node39(c_p0, s4, s5)),
% 51.15/33.78 inference(unit_resolution,[status(thm)],[27121, 21053, 27111])).
% 51.15/33.78 tff(27123,assumption,(~node45(c_p0, s4, s5)), introduced(assumption)).
% 51.15/33.78 tff(27124,plain,
% 51.15/33.78 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s4, s5)) | node45(c_p0, s4, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s4, s5)) | node45(c_p0, s4, s5))),
% 51.15/33.78 inference(rewrite,[status(thm)],[])).
% 51.15/33.78 tff(27125,plain,
% 51.15/33.78 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s4, s5)) | node45(c_p0, s4, s5))),
% 51.15/33.78 inference(quant_inst,[status(thm)],[])).
% 51.15/33.78 tff(27126,plain,
% 51.15/33.78 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s4, s5)) | node45(c_p0, s4, s5)),
% 51.15/33.78 inference(modus_ponens,[status(thm)],[27125, 27124])).
% 51.15/33.78 tff(27127,plain,
% 51.15/33.78 ($false),
% 51.15/33.78 inference(unit_resolution,[status(thm)],[27126, 7503, 1112, 27123])).
% 51.15/33.78 tff(27128,plain,(node45(c_p0, s4, s5)), inference(lemma,lemma(discharge,[]))).
% 51.15/33.78 tff(27129,plain,
% 51.15/33.78 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s4)) | node39(c_p0, s4, s5) | (~node45(c_p0, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s4)) | node39(c_p0, s4, s5) | (~node45(c_p0, s4, s5)))),
% 51.15/33.78 inference(rewrite,[status(thm)],[])).
% 51.15/33.78 tff(27130,plain,
% 51.15/33.78 ((node39(c_p0, s4, s5) | (~m_processor_v_abort(c_p0, s4)) | (~node45(c_p0, s4, s5))) <=> ((~m_processor_v_abort(c_p0, s4)) | node39(c_p0, s4, s5) | (~node45(c_p0, s4, s5)))),
% 51.15/33.78 inference(rewrite,[status(thm)],[])).
% 51.15/33.78 tff(27131,plain,
% 51.15/33.78 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p0, s4, s5) | (~m_processor_v_abort(c_p0, s4)) | (~node45(c_p0, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s4)) | node39(c_p0, s4, s5) | (~node45(c_p0, s4, s5))))),
% 51.15/33.78 inference(monotonicity,[status(thm)],[27130])).
% 51.15/33.78 tff(27132,plain,
% 51.15/33.78 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p0, s4, s5) | (~m_processor_v_abort(c_p0, s4)) | (~node45(c_p0, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s4)) | node39(c_p0, s4, s5) | (~node45(c_p0, s4, s5)))),
% 51.15/33.78 inference(transitivity,[status(thm)],[27131, 27129])).
% 51.15/33.78 tff(27133,plain,
% 51.15/33.78 ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p0, s4, s5) | (~m_processor_v_abort(c_p0, s4)) | (~node45(c_p0, s4, s5)))),
% 51.15/33.78 inference(quant_inst,[status(thm)],[])).
% 51.15/33.78 tff(27134,plain,
% 51.15/33.78 ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s4)) | node39(c_p0, s4, s5) | (~node45(c_p0, s4, s5))),
% 51.15/33.78 inference(modus_ponens,[status(thm)],[27133, 27132])).
% 51.15/33.78 tff(27135,plain,
% 51.15/33.78 ((~m_processor_v_abort(c_p0, s4)) | node39(c_p0, s4, s5)),
% 51.15/33.78 inference(unit_resolution,[status(thm)],[27134, 7518, 27128])).
% 51.15/33.78 tff(27136,plain,
% 51.15/33.78 (~m_processor_v_abort(c_p0, s4)),
% 51.15/33.78 inference(unit_resolution,[status(thm)],[27135, 27122])).
% 51.15/33.78 tff(27137,assumption,(node42(c_p0, s4)), introduced(assumption)).
% 51.15/33.78 tff(27138,plain,
% 51.15/33.78 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | (m_processor_v_master(c_p0, s4) | (~node42(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | m_processor_v_master(c_p0, s4) | (~node42(c_p0, s4)))),
% 51.15/33.78 inference(rewrite,[status(thm)],[])).
% 51.15/33.78 tff(27139,plain,
% 51.15/33.78 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | (m_processor_v_master(c_p0, s4) | (~node42(c_p0, s4)))),
% 51.15/33.78 inference(quant_inst,[status(thm)],[])).
% 51.15/33.78 tff(27140,plain,
% 51.15/33.78 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | m_processor_v_master(c_p0, s4) | (~node42(c_p0, s4))),
% 51.15/33.78 inference(modus_ponens,[status(thm)],[27139, 27138])).
% 51.15/33.78 tff(27141,plain,
% 51.15/33.78 (m_processor_v_master(c_p0, s4)),
% 51.15/33.78 inference(unit_resolution,[status(thm)],[27140, 8170, 27137])).
% 51.15/33.78 tff(27142,plain,
% 51.15/33.78 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | (m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | (~node42(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | (~node42(c_p0, s4)))),
% 51.15/33.78 inference(rewrite,[status(thm)],[])).
% 51.15/33.78 tff(27143,plain,
% 51.15/33.78 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | (m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | (~node42(c_p0, s4)))),
% 51.15/33.78 inference(quant_inst,[status(thm)],[])).
% 51.15/33.78 tff(27144,plain,
% 51.15/33.78 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid) | (~node42(c_p0, s4))),
% 51.15/33.78 inference(modus_ponens,[status(thm)],[27143, 27142])).
% 51.15/33.78 tff(27145,plain,
% 51.15/33.78 (m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)),
% 51.15/33.78 inference(unit_resolution,[status(thm)],[27144, 7579, 27137])).
% 51.15/33.78 tff(27146,plain,
% 51.15/33.78 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | m_processor_v_snoop(c_p0, s5, c_invalid) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)) | node41(c_p0, s4) | node40(c_p0, s4) | (~node45(c_p0, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | m_processor_v_snoop(c_p0, s5, c_invalid) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)) | node41(c_p0, s4) | node40(c_p0, s4) | (~node45(c_p0, s4, s5)))),
% 51.15/33.78 inference(rewrite,[status(thm)],[])).
% 51.15/33.78 tff(27147,plain,
% 51.15/33.78 (((~m_processor_v_master(c_p0, s4)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s4) | node40(c_p0, s4) | node41(c_p0, s4) | (~node45(c_p0, s4, s5)) | m_processor_v_snoop(c_p0, s5, c_invalid)) <=> ((~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | m_processor_v_snoop(c_p0, s5, c_invalid) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)) | node41(c_p0, s4) | node40(c_p0, s4) | (~node45(c_p0, s4, s5)))),
% 51.15/33.78 inference(rewrite,[status(thm)],[])).
% 51.15/33.78 tff(27148,plain,
% 51.15/33.78 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s4)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s4) | node40(c_p0, s4) | node41(c_p0, s4) | (~node45(c_p0, s4, s5)) | m_processor_v_snoop(c_p0, s5, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | m_processor_v_snoop(c_p0, s5, c_invalid) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)) | node41(c_p0, s4) | node40(c_p0, s4) | (~node45(c_p0, s4, s5))))),
% 51.15/33.78 inference(monotonicity,[status(thm)],[27147])).
% 51.15/33.78 tff(27149,plain,
% 51.15/33.78 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s4)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s4) | node40(c_p0, s4) | node41(c_p0, s4) | (~node45(c_p0, s4, s5)) | m_processor_v_snoop(c_p0, s5, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | m_processor_v_snoop(c_p0, s5, c_invalid) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)) | node41(c_p0, s4) | node40(c_p0, s4) | (~node45(c_p0, s4, s5)))),
% 51.15/33.78 inference(transitivity,[status(thm)],[27148, 27146])).
% 51.15/33.78 tff(27150,plain,
% 51.15/33.78 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s4)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s4) | node40(c_p0, s4) | node41(c_p0, s4) | (~node45(c_p0, s4, s5)) | m_processor_v_snoop(c_p0, s5, c_invalid))),
% 51.15/33.78 inference(quant_inst,[status(thm)],[])).
% 51.15/33.78 tff(27151,plain,
% 51.15/33.78 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | m_processor_v_snoop(c_p0, s5, c_invalid) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)) | node41(c_p0, s4) | node40(c_p0, s4) | (~node45(c_p0, s4, s5))),
% 51.15/33.78 inference(modus_ponens,[status(thm)],[27150, 27149])).
% 51.15/33.78 tff(27152,plain,
% 51.15/33.78 ((~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | m_processor_v_snoop(c_p0, s5, c_invalid) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)) | node41(c_p0, s4) | node40(c_p0, s4)),
% 51.15/33.78 inference(unit_resolution,[status(thm)],[27151, 7563, 27128])).
% 51.15/33.78 tff(27153,plain,
% 51.15/33.78 ($false),
% 51.15/33.78 inference(unit_resolution,[status(thm)],[27152, 27145, 27141, 27111, 1151, 27112, 27110])).
% 51.15/33.78 tff(27154,plain,((~node42(c_p0, s4)) | m_processor_v_snoop(c_p0, s5, c_invalid) | m_processor_v_abort(c_p0, s4) | node40(c_p0, s4) | node41(c_p0, s4)), inference(lemma,lemma(discharge,[]))).
% 51.15/33.78 tff(27155,plain,
% 51.15/33.78 (~node42(c_p0, s4)),
% 51.15/33.78 inference(unit_resolution,[status(thm)],[27154, 27136, 27112, 27111, 27110])).
% 51.15/33.78 tff(27156,plain,
% 51.15/33.78 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | ((~m_processor_v_snoop(c_p0, s4, c_invalid)) | m_processor_v_snoop(c_p0, s5, c_invalid) | (~node44(c_p0, s4, s5)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | m_processor_v_snoop(c_p0, s5, c_invalid) | (~node44(c_p0, s4, s5)))),
% 51.15/33.78 inference(rewrite,[status(thm)],[])).
% 51.15/33.78 tff(27157,plain,
% 51.15/33.78 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | ((~m_processor_v_snoop(c_p0, s4, c_invalid)) | m_processor_v_snoop(c_p0, s5, c_invalid) | (~node44(c_p0, s4, s5)))),
% 51.15/33.78 inference(quant_inst,[status(thm)],[])).
% 51.15/33.78 tff(27158,plain,
% 51.15/33.78 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | m_processor_v_snoop(c_p0, s5, c_invalid) | (~node44(c_p0, s4, s5))),
% 51.15/33.78 inference(modus_ponens,[status(thm)],[27157, 27156])).
% 51.15/33.78 tff(27159,plain,
% 51.15/33.78 (~node44(c_p0, s4, s5)),
% 51.15/33.78 inference(unit_resolution,[status(thm)],[27158, 7470, 21053, 27111])).
% 51.15/33.78 tff(27160,plain,
% 51.15/33.78 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s4) | node41(c_p0, s4) | node40(c_p0, s4) | node43(c_p0, s4) | node42(c_p0, s4) | node44(c_p0, s4, s5) | (~node45(c_p0, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p0, s4) | node41(c_p0, s4) | node40(c_p0, s4) | node43(c_p0, s4) | node42(c_p0, s4) | node44(c_p0, s4, s5) | (~node45(c_p0, s4, s5)))),
% 51.15/33.78 inference(rewrite,[status(thm)],[])).
% 51.15/33.78 tff(27161,plain,
% 51.15/33.78 ((m_processor_v_abort(c_p0, s4) | node40(c_p0, s4) | node41(c_p0, s4) | node42(c_p0, s4) | node43(c_p0, s4) | node44(c_p0, s4, s5) | (~node45(c_p0, s4, s5))) <=> (m_processor_v_abort(c_p0, s4) | node41(c_p0, s4) | node40(c_p0, s4) | node43(c_p0, s4) | node42(c_p0, s4) | node44(c_p0, s4, s5) | (~node45(c_p0, s4, s5)))),
% 51.15/33.78 inference(rewrite,[status(thm)],[])).
% 51.15/33.78 tff(27162,plain,
% 51.15/33.78 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s4) | node40(c_p0, s4) | node41(c_p0, s4) | node42(c_p0, s4) | node43(c_p0, s4) | node44(c_p0, s4, s5) | (~node45(c_p0, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s4) | node41(c_p0, s4) | node40(c_p0, s4) | node43(c_p0, s4) | node42(c_p0, s4) | node44(c_p0, s4, s5) | (~node45(c_p0, s4, s5))))),
% 51.15/33.78 inference(monotonicity,[status(thm)],[27161])).
% 51.15/33.78 tff(27163,plain,
% 51.15/33.78 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s4) | node40(c_p0, s4) | node41(c_p0, s4) | node42(c_p0, s4) | node43(c_p0, s4) | node44(c_p0, s4, s5) | (~node45(c_p0, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p0, s4) | node41(c_p0, s4) | node40(c_p0, s4) | node43(c_p0, s4) | node42(c_p0, s4) | node44(c_p0, s4, s5) | (~node45(c_p0, s4, s5)))),
% 51.15/33.78 inference(transitivity,[status(thm)],[27162, 27160])).
% 51.15/33.78 tff(27164,plain,
% 51.15/33.78 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s4) | node40(c_p0, s4) | node41(c_p0, s4) | node42(c_p0, s4) | node43(c_p0, s4) | node44(c_p0, s4, s5) | (~node45(c_p0, s4, s5)))),
% 51.15/33.78 inference(quant_inst,[status(thm)],[])).
% 51.15/33.78 tff(27165,plain,
% 51.15/33.78 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p0, s4) | node41(c_p0, s4) | node40(c_p0, s4) | node43(c_p0, s4) | node42(c_p0, s4) | node44(c_p0, s4, s5) | (~node45(c_p0, s4, s5))),
% 51.15/33.78 inference(modus_ponens,[status(thm)],[27164, 27163])).
% 51.15/33.78 tff(27166,plain,
% 51.15/33.78 (m_processor_v_abort(c_p0, s4) | node41(c_p0, s4) | node40(c_p0, s4) | node43(c_p0, s4) | node42(c_p0, s4) | node44(c_p0, s4, s5)),
% 51.15/33.78 inference(unit_resolution,[status(thm)],[27165, 7596, 27128])).
% 51.15/33.78 tff(27167,plain,
% 51.15/33.78 (node43(c_p0, s4)),
% 51.15/33.78 inference(unit_resolution,[status(thm)],[27166, 27159, 27136, 27112, 27110, 27155])).
% 51.15/33.78 tff(27168,plain,
% 51.15/33.78 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | (m_processor_v_master(c_p0, s4) | (~node43(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | m_processor_v_master(c_p0, s4) | (~node43(c_p0, s4)))),
% 51.15/33.78 inference(rewrite,[status(thm)],[])).
% 51.15/33.78 tff(27169,plain,
% 51.15/33.78 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | (m_processor_v_master(c_p0, s4) | (~node43(c_p0, s4)))),
% 51.15/33.78 inference(quant_inst,[status(thm)],[])).
% 51.15/33.78 tff(27170,plain,
% 51.15/33.78 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | m_processor_v_master(c_p0, s4) | (~node43(c_p0, s4))),
% 51.15/33.78 inference(modus_ponens,[status(thm)],[27169, 27168])).
% 51.15/33.78 tff(27171,plain,
% 51.15/33.78 (m_processor_v_master(c_p0, s4)),
% 51.15/33.78 inference(unit_resolution,[status(thm)],[27170, 8159, 27167])).
% 51.15/33.78 tff(27172,plain,
% 51.15/33.78 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared) | (~node43(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared) | (~node43(c_p0, s4)))),
% 51.15/33.78 inference(rewrite,[status(thm)],[])).
% 51.15/33.78 tff(27173,plain,
% 51.15/33.78 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared) | (~node43(c_p0, s4)))),
% 51.15/33.78 inference(quant_inst,[status(thm)],[])).
% 51.15/33.78 tff(27174,plain,
% 51.15/33.78 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared) | (~node43(c_p0, s4))),
% 51.15/33.78 inference(modus_ponens,[status(thm)],[27173, 27172])).
% 51.15/33.78 tff(27175,plain,
% 51.15/33.78 (m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)),
% 51.15/33.78 inference(unit_resolution,[status(thm)],[27174, 7631, 27167])).
% 51.15/33.78 tff(27176,plain,
% 51.15/33.78 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | m_processor_v_snoop(c_p0, s5, c_invalid) | node41(c_p0, s4) | node40(c_p0, s4) | node42(c_p0, s4) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)) | (~node45(c_p0, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | m_processor_v_snoop(c_p0, s5, c_invalid) | node41(c_p0, s4) | node40(c_p0, s4) | node42(c_p0, s4) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)) | (~node45(c_p0, s4, s5)))),
% 51.15/33.78 inference(rewrite,[status(thm)],[])).
% 51.15/33.78 tff(27177,plain,
% 51.15/33.78 (((~m_processor_v_master(c_p0, s4)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s4) | node40(c_p0, s4) | node41(c_p0, s4) | node42(c_p0, s4) | (~node45(c_p0, s4, s5)) | m_processor_v_snoop(c_p0, s5, c_invalid)) <=> ((~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | m_processor_v_snoop(c_p0, s5, c_invalid) | node41(c_p0, s4) | node40(c_p0, s4) | node42(c_p0, s4) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)) | (~node45(c_p0, s4, s5)))),
% 51.15/33.78 inference(rewrite,[status(thm)],[])).
% 51.15/33.78 tff(27178,plain,
% 51.15/33.78 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s4)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s4) | node40(c_p0, s4) | node41(c_p0, s4) | node42(c_p0, s4) | (~node45(c_p0, s4, s5)) | m_processor_v_snoop(c_p0, s5, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | m_processor_v_snoop(c_p0, s5, c_invalid) | node41(c_p0, s4) | node40(c_p0, s4) | node42(c_p0, s4) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)) | (~node45(c_p0, s4, s5))))),
% 51.15/33.78 inference(monotonicity,[status(thm)],[27177])).
% 51.15/33.78 tff(27179,plain,
% 51.15/33.78 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s4)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s4) | node40(c_p0, s4) | node41(c_p0, s4) | node42(c_p0, s4) | (~node45(c_p0, s4, s5)) | m_processor_v_snoop(c_p0, s5, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | m_processor_v_snoop(c_p0, s5, c_invalid) | node41(c_p0, s4) | node40(c_p0, s4) | node42(c_p0, s4) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)) | (~node45(c_p0, s4, s5)))),
% 51.15/33.78 inference(transitivity,[status(thm)],[27178, 27176])).
% 51.15/33.78 tff(27180,plain,
% 51.15/33.78 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s4)) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s4) | node40(c_p0, s4) | node41(c_p0, s4) | node42(c_p0, s4) | (~node45(c_p0, s4, s5)) | m_processor_v_snoop(c_p0, s5, c_invalid))),
% 51.15/33.79 inference(quant_inst,[status(thm)],[])).
% 51.15/33.79 tff(27181,plain,
% 51.15/33.79 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | m_processor_v_snoop(c_p0, s5, c_invalid) | node41(c_p0, s4) | node40(c_p0, s4) | node42(c_p0, s4) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)) | (~node45(c_p0, s4, s5))),
% 51.15/33.79 inference(modus_ponens,[status(thm)],[27180, 27179])).
% 51.15/33.79 tff(27182,plain,
% 51.15/33.79 ((~m_processor_v_master(c_p0, s4)) | m_processor_v_abort(c_p0, s4) | m_processor_v_snoop(c_p0, s5, c_invalid) | node41(c_p0, s4) | node40(c_p0, s4) | node42(c_p0, s4) | (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared))),
% 51.15/33.79 inference(unit_resolution,[status(thm)],[27181, 7615, 27128])).
% 51.15/33.79 tff(27183,plain,
% 51.15/33.79 ($false),
% 51.15/33.79 inference(unit_resolution,[status(thm)],[27182, 27175, 27171, 27136, 27111, 27110, 27112, 27155])).
% 51.15/33.79 tff(27184,plain,((~m_processor_v_snoop(c_p0, s4, c_invalid)) | m_processor_v_snoop(c_p0, s5, c_invalid) | node41(c_p0, s4) | node40(c_p0, s4)), inference(lemma,lemma(discharge,[]))).
% 51.15/33.79 tff(27185,plain,
% 51.15/33.79 (m_processor_v_snoop(c_p0, s5, c_invalid)),
% 51.15/33.79 inference(unit_resolution,[status(thm)],[27184, 27109, 26871, 26867])).
% 51.15/33.79 tff(27186,plain,
% 51.15/33.79 (~m_processor_v_REPLY_h_WAITING(c_p1, s6)),
% 51.15/33.79 inference(unit_resolution,[status(thm)],[18335, 26838, 26835])).
% 51.15/33.79 tff(27187,plain,
% 51.15/33.79 (~m_main_v_REPLY_h_WAITING(s6)),
% 51.15/33.79 inference(unit_resolution,[status(thm)],[18192, 27186])).
% 51.15/33.79 tff(27188,plain,
% 51.15/33.79 (node6(s6)),
% 51.15/33.79 inference(unit_resolution,[status(thm)],[14184, 27187])).
% 51.15/33.79 tff(27189,plain,
% 51.15/33.79 (~m_processor_v_reply_h_waiting(c_p0, s6)),
% 51.15/33.79 inference(unit_resolution,[status(thm)],[26630, 27188])).
% 51.15/33.79 tff(27190,plain,
% 51.15/33.79 (~m_processor_v_waiting(c_p0, s6)),
% 51.15/33.79 inference(unit_resolution,[status(thm)],[26640, 27189, 26793])).
% 51.15/33.79 tff(27191,plain,
% 51.15/33.79 (m_processor_v_state(c_p0, s5, c_owned)),
% 51.15/33.79 inference(unit_resolution,[status(thm)],[26669, 27190, 26800])).
% 51.15/33.79 tff(27192,plain,
% 51.15/33.79 (m_processor_v_master(c_p0, s4)),
% 51.15/33.79 inference(unit_resolution,[status(thm)],[1191, 27191, 54])).
% 51.15/33.79 tff(27193,plain,
% 51.15/33.79 (~node17(s4)),
% 51.15/33.79 inference(unit_resolution,[status(thm)],[1280, 27192])).
% 51.15/33.79 tff(27194,plain,
% 51.15/33.79 (~m_memory_v_master(c_m, s4)),
% 51.15/33.79 inference(unit_resolution,[status(thm)],[1295, 27193])).
% 51.15/33.79 tff(27195,plain,
% 51.15/33.79 (~node19(c_m, s4)),
% 51.15/33.79 inference(unit_resolution,[status(thm)],[7330, 27194])).
% 51.15/33.79 tff(27196,plain,
% 51.15/33.79 (~m_processor_v_master(c_p1, s4)),
% 51.15/33.79 inference(unit_resolution,[status(thm)],[1437, 27192])).
% 51.15/33.79 tff(27197,plain,
% 51.15/33.79 (~m_processor_v_state(c_p1, s4, c_owned)),
% 51.15/33.79 inference(unit_resolution,[status(thm)],[6865, 27196, 53])).
% 51.15/33.79 tff(27198,plain,
% 51.15/33.79 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | ((~node57(c_p1, s4)) | m_processor_v_state(c_p1, s4, c_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (~node57(c_p1, s4)) | m_processor_v_state(c_p1, s4, c_owned))),
% 51.15/33.79 inference(rewrite,[status(thm)],[])).
% 51.15/33.79 tff(27199,plain,
% 51.15/33.79 ((m_processor_v_state(c_p1, s4, c_owned) | (~node57(c_p1, s4))) <=> ((~node57(c_p1, s4)) | m_processor_v_state(c_p1, s4, c_owned))),
% 51.15/33.79 inference(rewrite,[status(thm)],[])).
% 51.15/33.79 tff(27200,plain,
% 51.15/33.79 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (m_processor_v_state(c_p1, s4, c_owned) | (~node57(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | ((~node57(c_p1, s4)) | m_processor_v_state(c_p1, s4, c_owned)))),
% 51.18/33.79 inference(monotonicity,[status(thm)],[27199])).
% 51.18/33.79 tff(27201,plain,
% 51.18/33.79 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (m_processor_v_state(c_p1, s4, c_owned) | (~node57(c_p1, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (~node57(c_p1, s4)) | m_processor_v_state(c_p1, s4, c_owned))),
% 51.18/33.79 inference(transitivity,[status(thm)],[27200, 27198])).
% 51.18/33.79 tff(27202,plain,
% 51.18/33.79 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (m_processor_v_state(c_p1, s4, c_owned) | (~node57(c_p1, s4)))),
% 51.18/33.79 inference(quant_inst,[status(thm)],[])).
% 51.18/33.79 tff(27203,plain,
% 51.18/33.79 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (~node57(c_p1, s4)) | m_processor_v_state(c_p1, s4, c_owned)),
% 51.18/33.79 inference(modus_ponens,[status(thm)],[27202, 27201])).
% 51.18/33.79 tff(27204,plain,
% 51.18/33.79 (~node57(c_p1, s4)),
% 51.18/33.79 inference(unit_resolution,[status(thm)],[27203, 4533, 27197])).
% 51.18/33.79 tff(27205,plain,
% 51.18/33.79 (((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | ((~m_processor_v_reply_h_owned(c_p1, s4)) | node57(c_p1, s4))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | (~m_processor_v_reply_h_owned(c_p1, s4)) | node57(c_p1, s4))),
% 51.18/33.79 inference(rewrite,[status(thm)],[])).
% 51.18/33.79 tff(27206,plain,
% 51.18/33.79 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | ((~m_processor_v_reply_h_owned(c_p1, s4)) | node57(c_p1, s4))),
% 51.18/33.79 inference(quant_inst,[status(thm)],[])).
% 51.18/33.79 tff(27207,plain,
% 51.18/33.79 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | (~m_processor_v_reply_h_owned(c_p1, s4)) | node57(c_p1, s4)),
% 51.18/33.79 inference(modus_ponens,[status(thm)],[27206, 27205])).
% 51.18/33.79 tff(27208,plain,
% 51.18/33.79 (~m_processor_v_reply_h_owned(c_p1, s4)),
% 51.18/33.79 inference(unit_resolution,[status(thm)],[27207, 4551, 27204])).
% 51.18/33.79 tff(27209,assumption,(m_processor_v_state(c_p2, s4, c_owned)), introduced(assumption)).
% 51.18/33.79 tff(27210,assumption,(m_processor_v_state(c_p2, s2, c_owned)), introduced(assumption)).
% 51.18/33.79 tff(27211,assumption,(~m_processor_v_state(c_p2, s1, c_invalid)), introduced(assumption)).
% 51.18/33.79 tff(27212,assumption,(m_processor_v_state(c_p2, s1, c_shared)), introduced(assumption)).
% 51.18/33.79 tff(27213,assumption,(~m_processor_v_abort(c_p2, s0)), introduced(assumption)).
% 51.18/33.79 tff(27214,assumption,(m_processor_v_state(c_p2, s0, c_shared)), introduced(assumption)).
% 51.18/33.79 tff(27215,plain,
% 51.18/33.79 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p2, s0, c_invalid)) | (~m_processor_v_state(c_p2, s0, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p2, s0, c_invalid)) | (~m_processor_v_state(c_p2, s0, c_shared)))),
% 51.18/33.79 inference(rewrite,[status(thm)],[])).
% 51.18/33.79 tff(27216,plain,
% 51.18/33.79 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p2, s0, c_invalid)) | (~m_processor_v_state(c_p2, s0, c_shared)))),
% 51.18/33.79 inference(quant_inst,[status(thm)],[])).
% 51.18/33.79 tff(27217,plain,
% 51.18/33.79 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p2, s0, c_invalid)) | (~m_processor_v_state(c_p2, s0, c_shared))),
% 51.18/33.79 inference(modus_ponens,[status(thm)],[27216, 27215])).
% 51.18/33.79 tff(27218,plain,
% 51.18/33.79 ($false),
% 51.18/33.79 inference(unit_resolution,[status(thm)],[27217, 977, 27214, 4518])).
% 51.18/33.79 tff(27219,plain,(~m_processor_v_state(c_p2, s0, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.18/33.79 tff(27220,assumption,(node36(c_p2, s0)), introduced(assumption)).
% 51.18/33.79 tff(27221,assumption,(~m_processor_v_state(c_p2, s0, c_shared)), introduced(assumption)).
% 51.18/33.79 tff(27222,plain,
% 51.18/33.79 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p2, s0, c_shared) | (~node36(c_p2, s0)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p2, s0, c_shared) | (~node36(c_p2, s0)))),
% 51.18/33.79 inference(rewrite,[status(thm)],[])).
% 51.18/33.79 tff(27223,plain,
% 51.18/33.79 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p2, s0, c_shared) | (~node36(c_p2, s0)))),
% 51.18/33.79 inference(quant_inst,[status(thm)],[])).
% 51.18/33.79 tff(27224,plain,
% 51.18/33.79 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p2, s0, c_shared) | (~node36(c_p2, s0))),
% 51.18/33.79 inference(modus_ponens,[status(thm)],[27223, 27222])).
% 51.18/33.79 tff(27225,plain,
% 51.18/33.79 ($false),
% 51.18/33.79 inference(unit_resolution,[status(thm)],[27224, 167, 27221, 27220])).
% 51.18/33.79 tff(27226,plain,((~node36(c_p2, s0)) | m_processor_v_state(c_p2, s0, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.18/33.79 tff(27227,plain,
% 51.18/33.79 (~node36(c_p2, s0)),
% 51.18/33.79 inference(unit_resolution,[status(thm)],[27226, 27219])).
% 51.18/33.79 tff(27228,assumption,(~node36(c_p2, s0)), introduced(assumption)).
% 51.18/33.79 tff(27229,plain,
% 51.18/33.79 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s0, s1)) | node38(c_p2, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s0, s1)) | node38(c_p2, s0, s1))),
% 51.18/33.79 inference(rewrite,[status(thm)],[])).
% 51.18/33.79 tff(27230,plain,
% 51.18/33.79 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s0, s1)) | node38(c_p2, s0, s1))),
% 51.18/33.79 inference(quant_inst,[status(thm)],[])).
% 51.18/33.79 tff(27231,plain,
% 51.18/33.79 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s0, s1)) | node38(c_p2, s0, s1)),
% 51.18/33.79 inference(modus_ponens,[status(thm)],[27230, 27229])).
% 51.18/33.79 tff(27232,plain,
% 51.18/33.79 (node38(c_p2, s0, s1)),
% 51.18/33.79 inference(unit_resolution,[status(thm)],[27231, 210, 2811])).
% 51.18/33.79 tff(27233,plain,
% 51.18/33.79 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p2, s0) | m_processor_v_state(c_p2, s0, c_shared) | node36(c_p2, s0) | m_processor_v_abort(c_p2, s0) | node37(c_p2, s0, s1) | (~node38(c_p2, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p2, s0) | m_processor_v_state(c_p2, s0, c_shared) | node36(c_p2, s0) | m_processor_v_abort(c_p2, s0) | node37(c_p2, s0, s1) | (~node38(c_p2, s0, s1)))),
% 51.18/33.79 inference(rewrite,[status(thm)],[])).
% 51.18/33.79 tff(27234,plain,
% 51.18/33.79 ((m_processor_v_state(c_p2, s0, c_shared) | node36(c_p2, s0) | m_processor_v_master(c_p2, s0) | node37(c_p2, s0, s1) | (~node38(c_p2, s0, s1)) | m_processor_v_abort(c_p2, s0)) <=> (m_processor_v_master(c_p2, s0) | m_processor_v_state(c_p2, s0, c_shared) | node36(c_p2, s0) | m_processor_v_abort(c_p2, s0) | node37(c_p2, s0, s1) | (~node38(c_p2, s0, s1)))),
% 51.18/33.79 inference(rewrite,[status(thm)],[])).
% 51.18/33.79 tff(27235,plain,
% 51.18/33.79 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p2, s0, c_shared) | node36(c_p2, s0) | m_processor_v_master(c_p2, s0) | node37(c_p2, s0, s1) | (~node38(c_p2, s0, s1)) | m_processor_v_abort(c_p2, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p2, s0) | m_processor_v_state(c_p2, s0, c_shared) | node36(c_p2, s0) | m_processor_v_abort(c_p2, s0) | node37(c_p2, s0, s1) | (~node38(c_p2, s0, s1))))),
% 51.18/33.79 inference(monotonicity,[status(thm)],[27234])).
% 51.18/33.79 tff(27236,plain,
% 51.18/33.79 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p2, s0, c_shared) | node36(c_p2, s0) | m_processor_v_master(c_p2, s0) | node37(c_p2, s0, s1) | (~node38(c_p2, s0, s1)) | m_processor_v_abort(c_p2, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p2, s0) | m_processor_v_state(c_p2, s0, c_shared) | node36(c_p2, s0) | m_processor_v_abort(c_p2, s0) | node37(c_p2, s0, s1) | (~node38(c_p2, s0, s1)))),
% 51.18/33.79 inference(transitivity,[status(thm)],[27235, 27233])).
% 51.18/33.79 tff(27237,plain,
% 51.18/33.79 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p2, s0, c_shared) | node36(c_p2, s0) | m_processor_v_master(c_p2, s0) | node37(c_p2, s0, s1) | (~node38(c_p2, s0, s1)) | m_processor_v_abort(c_p2, s0))),
% 51.18/33.79 inference(quant_inst,[status(thm)],[])).
% 51.18/33.79 tff(27238,plain,
% 51.18/33.79 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p2, s0) | m_processor_v_state(c_p2, s0, c_shared) | node36(c_p2, s0) | m_processor_v_abort(c_p2, s0) | node37(c_p2, s0, s1) | (~node38(c_p2, s0, s1))),
% 51.18/33.79 inference(modus_ponens,[status(thm)],[27237, 27236])).
% 51.18/33.79 tff(27239,plain,
% 51.18/33.79 (m_processor_v_master(c_p2, s0) | m_processor_v_state(c_p2, s0, c_shared) | node36(c_p2, s0) | m_processor_v_abort(c_p2, s0) | node37(c_p2, s0, s1)),
% 51.18/33.79 inference(unit_resolution,[status(thm)],[27238, 225, 27232])).
% 51.18/33.79 tff(27240,plain,
% 51.18/33.79 (node37(c_p2, s0, s1)),
% 51.18/33.79 inference(unit_resolution,[status(thm)],[27239, 27221, 4046, 27213, 27228])).
% 51.18/33.79 tff(27241,plain,
% 51.18/33.79 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)) | (~node37(c_p2, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)) | (~node37(c_p2, s0, s1)))),
% 51.18/33.79 inference(rewrite,[status(thm)],[])).
% 51.18/33.79 tff(27242,plain,
% 51.18/33.79 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)) | (~node37(c_p2, s0, s1)))),
% 51.18/33.79 inference(quant_inst,[status(thm)],[])).
% 51.18/33.79 tff(27243,plain,
% 51.18/33.79 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)) | (~node37(c_p2, s0, s1))),
% 51.18/33.79 inference(modus_ponens,[status(thm)],[27242, 27241])).
% 51.18/33.79 tff(27244,plain,
% 51.18/33.79 ($false),
% 51.18/33.79 inference(unit_resolution,[status(thm)],[27243, 182, 27212, 27221, 27240])).
% 51.18/33.79 tff(27245,plain,(m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)) | m_processor_v_master(c_p2, s0) | m_processor_v_abort(c_p2, s0) | node36(c_p2, s0)), inference(lemma,lemma(discharge,[]))).
% 51.18/33.79 tff(27246,plain,
% 51.18/33.79 ((~m_processor_v_state(c_p2, s1, c_shared)) | m_processor_v_master(c_p2, s0) | m_processor_v_abort(c_p2, s0)),
% 51.18/33.79 inference(unit_resolution,[status(thm)],[27245, 27219, 27227])).
% 51.18/33.79 tff(27247,plain,
% 51.18/33.79 (m_processor_v_master(c_p2, s0)),
% 51.18/33.79 inference(unit_resolution,[status(thm)],[27246, 27213, 27212])).
% 51.18/33.79 tff(27248,plain,
% 51.18/33.79 (node16(s0)),
% 51.18/33.79 inference(unit_resolution,[status(thm)],[4043, 27247])).
% 51.18/33.79 tff(27249,plain,
% 51.18/33.79 (~m_processor_v_master(c_p1, s0)),
% 51.18/33.79 inference(unit_resolution,[status(thm)],[4038, 27248])).
% 51.18/33.79 tff(27250,plain,
% 51.18/33.79 (~node62(c_p1, s0)),
% 51.18/33.79 inference(unit_resolution,[status(thm)],[2982, 27249])).
% 51.18/33.79 tff(27251,plain,
% 51.18/33.79 (m_processor_v_cmd(c_p1, s0, c_idle)),
% 51.18/33.79 inference(unit_resolution,[status(thm)],[3027, 27250])).
% 51.18/33.79 tff(27252,plain,
% 51.18/33.79 ($false),
% 51.18/33.79 inference(unit_resolution,[status(thm)],[2899, 1530, 2850, 4033])).
% 51.18/33.79 tff(27253,plain,((~m_processor_v_master(c_p0, s0)) | (~node16(s0))), inference(lemma,lemma(discharge,[]))).
% 51.18/33.79 tff(27254,plain,
% 51.18/33.79 (~m_processor_v_master(c_p0, s0)),
% 51.18/33.79 inference(unit_resolution,[status(thm)],[27253, 27248])).
% 51.18/33.79 tff(27255,plain,
% 51.18/33.79 (~node62(c_p0, s0)),
% 51.18/33.79 inference(unit_resolution,[status(thm)],[4129, 1493, 27254])).
% 51.18/33.79 tff(27256,plain,
% 51.18/33.79 (m_processor_v_cmd(c_p0, s0, c_idle)),
% 51.18/33.79 inference(unit_resolution,[status(thm)],[4166, 27255])).
% 51.18/33.79 tff(27257,plain,
% 51.18/33.79 (m_main_v_CMD(s0, c_idle)),
% 51.18/33.79 inference(unit_resolution,[status(thm)],[7725, 27256, 27251])).
% 51.18/33.79 tff(27258,plain,
% 51.18/33.79 (~m_main_v_CMD(s0, c_write_h_resp_h_shared)),
% 51.18/33.79 inference(unit_resolution,[status(thm)],[7653, 7650, 27257])).
% 51.18/33.79 tff(27259,assumption,(~node4(s0)), introduced(assumption)).
% 51.18/33.79 tff(27260,plain,
% 51.18/33.79 ((~![X: $i] : node4(X)) | node4(s0)),
% 51.18/33.79 inference(quant_inst,[status(thm)],[])).
% 51.18/33.79 tff(27261,plain,
% 51.18/33.79 ($false),
% 51.18/33.79 inference(unit_resolution,[status(thm)],[27260, 21560, 27259])).
% 51.18/33.79 tff(27262,plain,(node4(s0)), inference(lemma,lemma(discharge,[]))).
% 51.18/33.79 tff(27263,plain,
% 51.18/33.79 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s0, c_write_h_resp_h_shared) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s0, c_write_h_resp_h_shared) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared)))),
% 51.18/33.79 inference(rewrite,[status(thm)],[])).
% 51.18/33.79 tff(27264,plain,
% 51.18/33.79 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s0, c_write_h_resp_h_shared) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared)))),
% 51.18/33.79 inference(quant_inst,[status(thm)],[])).
% 51.18/33.79 tff(27265,plain,
% 51.18/33.79 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s0, c_write_h_resp_h_shared) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared))),
% 51.18/33.79 inference(modus_ponens,[status(thm)],[27264, 27263])).
% 51.18/33.79 tff(27266,plain,
% 51.18/33.79 (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared)),
% 51.18/33.79 inference(unit_resolution,[status(thm)],[27265, 21573, 27262, 27258])).
% 51.18/33.79 tff(27267,plain,
% 51.18/33.79 (^[X: $i] : refl(((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_invalid))) <=> ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_invalid))))),
% 51.18/33.79 inference(bind,[status(th)],[])).
% 51.18/33.79 tff(27268,plain,
% 51.18/33.79 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_invalid))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_invalid)))),
% 51.18/33.79 inference(quant_intro,[status(thm)],[27267])).
% 51.18/33.79 tff(27269,plain,
% 51.18/33.79 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_invalid))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_invalid)))),
% 51.18/33.79 inference(rewrite,[status(thm)],[])).
% 51.18/33.79 tff(27270,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_invalid)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_4')).
% 51.18/33.79 tff(27271,plain,
% 51.18/33.79 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_invalid)))),
% 51.18/33.79 inference(modus_ponens,[status(thm)],[27270, 27269])).
% 51.18/33.79 tff(27272,plain,(
% 51.18/33.79 ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_invalid)))),
% 51.18/33.79 inference(skolemize,[status(sab)],[27271])).
% 51.18/33.79 tff(27273,plain,
% 51.18/33.79 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_invalid)))),
% 51.18/33.79 inference(modus_ponens,[status(thm)],[27272, 27268])).
% 51.18/33.79 tff(27274,plain,
% 51.18/33.79 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s0, c_idle)) | (~m_main_v_CMD(s0, c_write_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s0, c_idle)) | (~m_main_v_CMD(s0, c_write_h_invalid)))),
% 51.18/33.79 inference(rewrite,[status(thm)],[])).
% 51.18/33.79 tff(27275,plain,
% 51.18/33.79 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s0, c_idle)) | (~m_main_v_CMD(s0, c_write_h_invalid)))),
% 51.18/33.79 inference(quant_inst,[status(thm)],[])).
% 51.18/33.79 tff(27276,plain,
% 51.18/33.79 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s0, c_idle)) | (~m_main_v_CMD(s0, c_write_h_invalid))),
% 51.18/33.79 inference(modus_ponens,[status(thm)],[27275, 27274])).
% 51.18/33.79 tff(27277,plain,
% 51.18/33.79 (~m_main_v_CMD(s0, c_write_h_invalid)),
% 51.18/33.79 inference(unit_resolution,[status(thm)],[27276, 27273, 27257])).
% 51.18/33.79 tff(27278,plain,
% 51.18/33.79 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s0, c_write_h_invalid) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s0, c_write_h_invalid) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_write_h_invalid)))),
% 51.18/33.79 inference(rewrite,[status(thm)],[])).
% 51.18/33.79 tff(27279,plain,
% 51.18/33.79 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s0, c_write_h_invalid) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_write_h_invalid)))),
% 51.18/33.79 inference(quant_inst,[status(thm)],[])).
% 51.18/33.79 tff(27280,plain,
% 51.18/33.79 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s0, c_write_h_invalid) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_write_h_invalid))),
% 51.18/33.79 inference(modus_ponens,[status(thm)],[27279, 27278])).
% 51.18/33.79 tff(27281,plain,
% 51.18/33.79 (~m_processor_v_CMD(c_p2, s0, c_write_h_invalid)),
% 51.18/33.79 inference(unit_resolution,[status(thm)],[27280, 21573, 27262, 27277])).
% 51.18/33.79 tff(27282,plain,
% 51.18/33.79 (~m_main_v_CMD(s0, c_write_h_resp_h_invalid)),
% 51.18/33.79 inference(unit_resolution,[status(thm)],[7666, 7663, 27257])).
% 51.18/33.79 tff(27283,plain,
% 51.18/33.79 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s0, c_write_h_resp_h_invalid) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s0, c_write_h_resp_h_invalid) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid)))),
% 51.18/33.79 inference(rewrite,[status(thm)],[])).
% 51.18/33.79 tff(27284,plain,
% 51.18/33.79 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s0, c_write_h_resp_h_invalid) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid)))),
% 51.18/33.79 inference(quant_inst,[status(thm)],[])).
% 51.18/33.79 tff(27285,plain,
% 51.18/33.79 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s0, c_write_h_resp_h_invalid) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid))),
% 51.18/33.79 inference(modus_ponens,[status(thm)],[27284, 27283])).
% 51.18/33.79 tff(27286,plain,
% 51.18/33.79 (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid)),
% 51.18/33.79 inference(unit_resolution,[status(thm)],[27285, 21573, 27262, 27282])).
% 51.18/33.79 tff(27287,plain,
% 51.18/33.79 (^[X: $i] : refl(((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_shared))) <=> ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_shared))))),
% 51.18/33.79 inference(bind,[status(th)],[])).
% 51.18/33.79 tff(27288,plain,
% 51.18/33.79 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_shared)))),
% 51.18/33.79 inference(quant_intro,[status(thm)],[27287])).
% 51.18/33.79 tff(27289,plain,
% 51.18/33.79 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_shared))) <=> ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_shared)))),
% 51.18/33.79 inference(rewrite,[status(thm)],[])).
% 51.18/33.79 tff(27290,axiom,(![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_shared)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_5')).
% 51.18/33.79 tff(27291,plain,
% 51.18/33.79 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_shared)))),
% 51.18/33.79 inference(modus_ponens,[status(thm)],[27290, 27289])).
% 51.18/33.79 tff(27292,plain,(
% 51.18/33.79 ![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_shared)))),
% 51.18/33.79 inference(skolemize,[status(sab)],[27291])).
% 51.18/33.79 tff(27293,plain,
% 51.18/33.79 (![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_shared)))),
% 51.18/33.79 inference(modus_ponens,[status(thm)],[27292, 27288])).
% 51.18/33.79 tff(27294,plain,
% 51.18/33.79 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_shared)))) | ((~m_main_v_CMD(s0, c_idle)) | (~m_main_v_CMD(s0, c_write_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_shared)))) | (~m_main_v_CMD(s0, c_idle)) | (~m_main_v_CMD(s0, c_write_h_shared)))),
% 51.18/33.79 inference(rewrite,[status(thm)],[])).
% 51.18/33.79 tff(27295,plain,
% 51.18/33.79 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_shared)))) | ((~m_main_v_CMD(s0, c_idle)) | (~m_main_v_CMD(s0, c_write_h_shared)))),
% 51.18/33.79 inference(quant_inst,[status(thm)],[])).
% 51.18/33.79 tff(27296,plain,
% 51.18/33.79 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_shared)))) | (~m_main_v_CMD(s0, c_idle)) | (~m_main_v_CMD(s0, c_write_h_shared))),
% 51.18/33.79 inference(modus_ponens,[status(thm)],[27295, 27294])).
% 51.18/33.79 tff(27297,plain,
% 51.18/33.79 (~m_main_v_CMD(s0, c_write_h_shared)),
% 51.18/33.79 inference(unit_resolution,[status(thm)],[27296, 27293, 27257])).
% 51.18/33.79 tff(27298,plain,
% 51.18/33.79 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s0, c_write_h_shared) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_write_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s0, c_write_h_shared) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_write_h_shared)))),
% 51.18/33.79 inference(rewrite,[status(thm)],[])).
% 51.18/33.79 tff(27299,plain,
% 51.18/33.79 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s0, c_write_h_shared) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_write_h_shared)))),
% 51.18/33.79 inference(quant_inst,[status(thm)],[])).
% 51.18/33.79 tff(27300,plain,
% 51.18/33.79 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s0, c_write_h_shared) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_write_h_shared))),
% 51.18/33.79 inference(modus_ponens,[status(thm)],[27299, 27298])).
% 51.18/33.79 tff(27301,plain,
% 51.18/33.79 (~m_processor_v_CMD(c_p2, s0, c_write_h_shared)),
% 51.18/33.79 inference(unit_resolution,[status(thm)],[27300, 21573, 27262, 27297])).
% 51.18/33.79 tff(27302,plain,
% 51.18/33.79 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p2, s0)) | m_processor_v_abort(c_p2, s0) | (~node38(c_p2, s0, s1)) | node34(c_p2, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p2, s0)) | m_processor_v_abort(c_p2, s0) | (~node38(c_p2, s0, s1)) | node34(c_p2, s0, s1))),
% 51.18/33.79 inference(rewrite,[status(thm)],[])).
% 51.18/33.79 tff(27303,plain,
% 51.18/33.79 ((node34(c_p2, s0, s1) | (~m_processor_v_master(c_p2, s0)) | (~node38(c_p2, s0, s1)) | m_processor_v_abort(c_p2, s0)) <=> ((~m_processor_v_master(c_p2, s0)) | m_processor_v_abort(c_p2, s0) | (~node38(c_p2, s0, s1)) | node34(c_p2, s0, s1))),
% 51.18/33.79 inference(rewrite,[status(thm)],[])).
% 51.18/33.79 tff(27304,plain,
% 51.18/33.79 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p2, s0, s1) | (~m_processor_v_master(c_p2, s0)) | (~node38(c_p2, s0, s1)) | m_processor_v_abort(c_p2, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p2, s0)) | m_processor_v_abort(c_p2, s0) | (~node38(c_p2, s0, s1)) | node34(c_p2, s0, s1)))),
% 51.18/33.79 inference(monotonicity,[status(thm)],[27303])).
% 51.18/33.79 tff(27305,plain,
% 51.18/33.79 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p2, s0, s1) | (~m_processor_v_master(c_p2, s0)) | (~node38(c_p2, s0, s1)) | m_processor_v_abort(c_p2, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p2, s0)) | m_processor_v_abort(c_p2, s0) | (~node38(c_p2, s0, s1)) | node34(c_p2, s0, s1))),
% 51.18/33.80 inference(transitivity,[status(thm)],[27304, 27302])).
% 51.18/33.80 tff(27306,plain,
% 51.18/33.80 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p2, s0, s1) | (~m_processor_v_master(c_p2, s0)) | (~node38(c_p2, s0, s1)) | m_processor_v_abort(c_p2, s0))),
% 51.18/33.80 inference(quant_inst,[status(thm)],[])).
% 51.18/33.80 tff(27307,plain,
% 51.18/33.80 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p2, s0)) | m_processor_v_abort(c_p2, s0) | (~node38(c_p2, s0, s1)) | node34(c_p2, s0, s1)),
% 51.18/33.80 inference(modus_ponens,[status(thm)],[27306, 27305])).
% 51.18/33.80 tff(27308,plain,
% 51.18/33.80 ((~m_processor_v_master(c_p2, s0)) | m_processor_v_abort(c_p2, s0) | node34(c_p2, s0, s1)),
% 51.18/33.80 inference(unit_resolution,[status(thm)],[27307, 283, 27232])).
% 51.18/33.80 tff(27309,plain,
% 51.18/33.80 (node34(c_p2, s0, s1)),
% 51.18/33.80 inference(unit_resolution,[status(thm)],[27308, 27247, 27213])).
% 51.18/33.80 tff(27310,plain,
% 51.18/33.80 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s0, c_idle)) | (~m_main_v_CMD(s0, c_read_h_owned)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned)))) | (~m_main_v_CMD(s0, c_idle)) | (~m_main_v_CMD(s0, c_read_h_owned)))),
% 51.18/33.80 inference(rewrite,[status(thm)],[])).
% 51.18/33.80 tff(27311,plain,
% 51.18/33.80 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned)))) | ((~m_main_v_CMD(s0, c_idle)) | (~m_main_v_CMD(s0, c_read_h_owned)))),
% 51.18/33.80 inference(quant_inst,[status(thm)],[])).
% 51.18/33.80 tff(27312,plain,
% 51.18/33.80 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_owned)))) | (~m_main_v_CMD(s0, c_idle)) | (~m_main_v_CMD(s0, c_read_h_owned))),
% 51.18/33.80 inference(modus_ponens,[status(thm)],[27311, 27310])).
% 51.18/33.80 tff(27313,plain,
% 51.18/33.80 (~m_main_v_CMD(s0, c_read_h_owned)),
% 51.18/33.80 inference(unit_resolution,[status(thm)],[27312, 1971, 27257])).
% 51.18/33.80 tff(27314,plain,
% 51.18/33.80 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s0, c_read_h_owned) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s0, c_read_h_owned) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_read_h_owned)))),
% 51.18/33.80 inference(rewrite,[status(thm)],[])).
% 51.18/33.80 tff(27315,plain,
% 51.18/33.80 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s0, c_read_h_owned) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_read_h_owned)))),
% 51.18/33.80 inference(quant_inst,[status(thm)],[])).
% 51.18/33.80 tff(27316,plain,
% 51.18/33.80 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s0, c_read_h_owned) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_read_h_owned))),
% 51.18/33.80 inference(modus_ponens,[status(thm)],[27315, 27314])).
% 51.18/33.80 tff(27317,plain,
% 51.18/33.80 (~m_processor_v_CMD(c_p2, s0, c_read_h_owned)),
% 51.18/33.80 inference(unit_resolution,[status(thm)],[27316, 21573, 27262, 27313])).
% 51.18/33.80 tff(27318,plain,
% 51.18/33.80 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))) | ((~m_main_v_CMD(s0, c_idle)) | (~m_main_v_CMD(s0, c_read_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))) | (~m_main_v_CMD(s0, c_idle)) | (~m_main_v_CMD(s0, c_read_h_shared)))),
% 51.18/33.80 inference(rewrite,[status(thm)],[])).
% 51.18/33.80 tff(27319,plain,
% 51.18/33.80 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))) | ((~m_main_v_CMD(s0, c_idle)) | (~m_main_v_CMD(s0, c_read_h_shared)))),
% 51.18/33.80 inference(quant_inst,[status(thm)],[])).
% 51.18/33.80 tff(27320,plain,
% 51.18/33.80 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_read_h_shared)))) | (~m_main_v_CMD(s0, c_idle)) | (~m_main_v_CMD(s0, c_read_h_shared))),
% 51.18/33.80 inference(modus_ponens,[status(thm)],[27319, 27318])).
% 51.18/33.80 tff(27321,plain,
% 51.18/33.80 (~m_main_v_CMD(s0, c_read_h_shared)),
% 51.18/33.80 inference(unit_resolution,[status(thm)],[27320, 8277, 27257])).
% 51.18/33.80 tff(27322,plain,
% 51.18/33.80 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)) | (~node4(s0)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)) | (~node4(s0)))),
% 51.18/33.80 inference(rewrite,[status(thm)],[])).
% 51.18/33.80 tff(27323,plain,
% 51.18/33.80 ((m_main_v_CMD(s0, c_read_h_shared) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared))) <=> (m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)) | (~node4(s0)))),
% 51.18/33.80 inference(rewrite,[status(thm)],[])).
% 51.18/33.80 tff(27324,plain,
% 51.18/33.80 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)) | (~node4(s0))))),
% 51.18/33.80 inference(monotonicity,[status(thm)],[27323])).
% 51.18/33.80 tff(27325,plain,
% 51.18/33.80 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)) | (~node4(s0)))),
% 51.18/33.80 inference(transitivity,[status(thm)],[27324, 27322])).
% 51.18/33.80 tff(27326,plain,
% 51.18/33.80 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s0, c_read_h_shared) | (~node4(s0)) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)))),
% 51.18/33.80 inference(quant_inst,[status(thm)],[])).
% 51.18/33.80 tff(27327,plain,
% 51.18/33.80 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s0, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)) | (~node4(s0))),
% 51.18/33.80 inference(modus_ponens,[status(thm)],[27326, 27325])).
% 51.18/33.80 tff(27328,plain,
% 51.18/33.80 (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)),
% 51.18/33.80 inference(unit_resolution,[status(thm)],[27327, 21573, 27262, 27321])).
% 51.18/33.80 tff(27329,assumption,(node33(c_p2, s0, s1)), introduced(assumption)).
% 51.18/33.80 tff(27330,plain,
% 51.18/33.80 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)) | (~node33(c_p2, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)) | (~node33(c_p2, s0, s1)))),
% 51.18/33.80 inference(rewrite,[status(thm)],[])).
% 51.18/33.80 tff(27331,plain,
% 51.18/33.80 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)) | (~node33(c_p2, s0, s1)))),
% 51.18/33.80 inference(quant_inst,[status(thm)],[])).
% 51.18/33.80 tff(27332,plain,
% 51.18/33.80 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)) | (~node33(c_p2, s0, s1))),
% 51.18/33.80 inference(modus_ponens,[status(thm)],[27331, 27330])).
% 51.18/33.80 tff(27333,plain,
% 51.18/33.80 ($false),
% 51.18/33.80 inference(unit_resolution,[status(thm)],[27332, 830, 27212, 27219, 27329])).
% 51.18/33.80 tff(27334,plain,((~node33(c_p2, s0, s1)) | (~m_processor_v_state(c_p2, s1, c_shared))), inference(lemma,lemma(discharge,[]))).
% 51.18/33.80 tff(27335,plain,
% 51.18/33.80 (~node33(c_p2, s0, s1)),
% 51.18/33.80 inference(unit_resolution,[status(thm)],[27334, 27212])).
% 51.18/33.80 tff(27336,plain,
% 51.18/33.80 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | node33(c_p2, s0, s1) | (~node34(c_p2, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | node33(c_p2, s0, s1) | (~node34(c_p2, s0, s1)))),
% 51.18/33.80 inference(rewrite,[status(thm)],[])).
% 51.18/33.80 tff(27337,plain,
% 51.18/33.80 ((node33(c_p2, s0, s1) | (~node34(c_p2, s0, s1)) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | node33(c_p2, s0, s1) | (~node34(c_p2, s0, s1)))),
% 51.18/33.80 inference(rewrite,[status(thm)],[])).
% 51.18/33.80 tff(27338,plain,
% 51.18/33.80 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p2, s0, s1) | (~node34(c_p2, s0, s1)) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | node33(c_p2, s0, s1) | (~node34(c_p2, s0, s1))))),
% 51.18/33.80 inference(monotonicity,[status(thm)],[27337])).
% 51.18/33.80 tff(27339,plain,
% 51.18/33.80 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p2, s0, s1) | (~node34(c_p2, s0, s1)) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | node33(c_p2, s0, s1) | (~node34(c_p2, s0, s1)))),
% 51.18/33.80 inference(transitivity,[status(thm)],[27338, 27336])).
% 51.18/33.80 tff(27340,plain,
% 51.18/33.80 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p2, s0, s1) | (~node34(c_p2, s0, s1)) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared))),
% 51.18/33.80 inference(quant_inst,[status(thm)],[])).
% 51.18/33.80 tff(27341,plain,
% 51.18/33.80 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | node33(c_p2, s0, s1) | (~node34(c_p2, s0, s1))),
% 51.18/33.80 inference(modus_ponens,[status(thm)],[27340, 27339])).
% 51.18/33.80 tff(27342,plain,
% 51.18/33.80 (m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | (~node34(c_p2, s0, s1))),
% 51.18/33.80 inference(unit_resolution,[status(thm)],[27341, 474, 27335])).
% 51.18/33.80 tff(27343,plain,
% 51.18/33.80 ($false),
% 51.18/33.80 inference(unit_resolution,[status(thm)],[27342, 27328, 27317, 27309, 27301, 27286, 27281, 27266])).
% 51.18/33.80 tff(27344,plain,(m_processor_v_abort(c_p2, s0) | (~m_processor_v_state(c_p2, s1, c_shared))), inference(lemma,lemma(discharge,[]))).
% 51.18/33.80 tff(27345,plain,
% 51.18/33.80 (m_processor_v_abort(c_p2, s0)),
% 51.18/33.80 inference(unit_resolution,[status(thm)],[27344, 27212])).
% 51.18/33.80 tff(27346,plain,
% 51.18/33.80 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | ((~m_processor_v_abort(c_p2, s0)) | (~node38(c_p2, s0, s1)) | node32(c_p2, s0, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~m_processor_v_abort(c_p2, s0)) | (~node38(c_p2, s0, s1)) | node32(c_p2, s0, s1))),
% 51.18/33.80 inference(rewrite,[status(thm)],[])).
% 51.18/33.80 tff(27347,plain,
% 51.18/33.80 ((node32(c_p2, s0, s1) | (~node38(c_p2, s0, s1)) | (~m_processor_v_abort(c_p2, s0))) <=> ((~m_processor_v_abort(c_p2, s0)) | (~node38(c_p2, s0, s1)) | node32(c_p2, s0, s1))),
% 51.18/33.80 inference(rewrite,[status(thm)],[])).
% 51.18/33.80 tff(27348,plain,
% 51.18/33.80 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p2, s0, s1) | (~node38(c_p2, s0, s1)) | (~m_processor_v_abort(c_p2, s0)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | ((~m_processor_v_abort(c_p2, s0)) | (~node38(c_p2, s0, s1)) | node32(c_p2, s0, s1)))),
% 51.18/33.80 inference(monotonicity,[status(thm)],[27347])).
% 51.18/33.80 tff(27349,plain,
% 51.18/33.80 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p2, s0, s1) | (~node38(c_p2, s0, s1)) | (~m_processor_v_abort(c_p2, s0)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~m_processor_v_abort(c_p2, s0)) | (~node38(c_p2, s0, s1)) | node32(c_p2, s0, s1))),
% 51.18/33.80 inference(transitivity,[status(thm)],[27348, 27346])).
% 51.18/33.80 tff(27350,plain,
% 51.18/33.80 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p2, s0, s1) | (~node38(c_p2, s0, s1)) | (~m_processor_v_abort(c_p2, s0)))),
% 51.18/33.80 inference(quant_inst,[status(thm)],[])).
% 51.18/33.80 tff(27351,plain,
% 51.18/33.80 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~m_processor_v_abort(c_p2, s0)) | (~node38(c_p2, s0, s1)) | node32(c_p2, s0, s1)),
% 51.18/33.80 inference(modus_ponens,[status(thm)],[27350, 27349])).
% 51.18/33.80 tff(27352,plain,
% 51.18/33.80 ((~m_processor_v_abort(c_p2, s0)) | node32(c_p2, s0, s1)),
% 51.18/33.80 inference(unit_resolution,[status(thm)],[27351, 243, 27232])).
% 51.18/33.80 tff(27353,plain,
% 51.18/33.80 (node32(c_p2, s0, s1)),
% 51.18/33.80 inference(unit_resolution,[status(thm)],[27352, 27345])).
% 51.18/33.80 tff(27354,plain,
% 51.18/33.80 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)) | (~node32(c_p2, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)) | (~node32(c_p2, s0, s1)))),
% 51.18/33.80 inference(rewrite,[status(thm)],[])).
% 51.18/33.80 tff(27355,plain,
% 51.18/33.80 (((~node32(c_p2, s0, s1)) | m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared))) <=> (m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)) | (~node32(c_p2, s0, s1)))),
% 51.18/33.80 inference(rewrite,[status(thm)],[])).
% 51.18/33.80 tff(27356,plain,
% 51.18/33.80 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p2, s0, s1)) | m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)) | (~node32(c_p2, s0, s1))))),
% 51.18/33.80 inference(monotonicity,[status(thm)],[27355])).
% 51.18/33.80 tff(27357,plain,
% 51.18/33.80 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p2, s0, s1)) | m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)) | (~node32(c_p2, s0, s1)))),
% 51.18/33.80 inference(transitivity,[status(thm)],[27356, 27354])).
% 51.18/33.80 tff(27358,plain,
% 51.18/33.80 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p2, s0, s1)) | m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)))),
% 51.18/33.80 inference(quant_inst,[status(thm)],[])).
% 51.18/33.80 tff(27359,plain,
% 51.18/33.80 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p2, s0, c_shared) | (~m_processor_v_state(c_p2, s1, c_shared)) | (~node32(c_p2, s0, s1))),
% 51.18/33.80 inference(modus_ponens,[status(thm)],[27358, 27357])).
% 51.18/33.80 tff(27360,plain,
% 51.18/33.80 ($false),
% 51.18/33.80 inference(unit_resolution,[status(thm)],[27359, 261, 27212, 27219, 27353])).
% 51.18/33.80 tff(27361,plain,(~m_processor_v_state(c_p2, s1, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.18/33.80 tff(27362,assumption,(~m_processor_v_state(c_p2, s1, c_shared)), introduced(assumption)).
% 51.18/33.80 tff(27363,plain,
% 51.18/33.80 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p2, s0) | node36(c_p2, s0) | m_processor_v_abort(c_p2, s0) | (~m_processor_v_state(c_p2, s0, c_shared)) | m_processor_v_state(c_p2, s1, c_shared) | m_processor_v_state(c_p2, s1, c_invalid) | (~node38(c_p2, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p2, s0) | node36(c_p2, s0) | m_processor_v_abort(c_p2, s0) | (~m_processor_v_state(c_p2, s0, c_shared)) | m_processor_v_state(c_p2, s1, c_shared) | m_processor_v_state(c_p2, s1, c_invalid) | (~node38(c_p2, s0, s1)))),
% 51.18/33.80 inference(rewrite,[status(thm)],[])).
% 51.18/33.80 tff(27364,plain,
% 51.18/33.80 (((~m_processor_v_state(c_p2, s0, c_shared)) | node36(c_p2, s0) | m_processor_v_state(c_p2, s1, c_shared) | m_processor_v_master(c_p2, s0) | m_processor_v_state(c_p2, s1, c_invalid) | (~node38(c_p2, s0, s1)) | m_processor_v_abort(c_p2, s0)) <=> (m_processor_v_master(c_p2, s0) | node36(c_p2, s0) | m_processor_v_abort(c_p2, s0) | (~m_processor_v_state(c_p2, s0, c_shared)) | m_processor_v_state(c_p2, s1, c_shared) | m_processor_v_state(c_p2, s1, c_invalid) | (~node38(c_p2, s0, s1)))),
% 51.18/33.80 inference(rewrite,[status(thm)],[])).
% 51.18/33.80 tff(27365,plain,
% 51.18/33.80 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p2, s0, c_shared)) | node36(c_p2, s0) | m_processor_v_state(c_p2, s1, c_shared) | m_processor_v_master(c_p2, s0) | m_processor_v_state(c_p2, s1, c_invalid) | (~node38(c_p2, s0, s1)) | m_processor_v_abort(c_p2, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p2, s0) | node36(c_p2, s0) | m_processor_v_abort(c_p2, s0) | (~m_processor_v_state(c_p2, s0, c_shared)) | m_processor_v_state(c_p2, s1, c_shared) | m_processor_v_state(c_p2, s1, c_invalid) | (~node38(c_p2, s0, s1))))),
% 51.18/33.80 inference(monotonicity,[status(thm)],[27364])).
% 51.18/33.80 tff(27366,plain,
% 51.18/33.80 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p2, s0, c_shared)) | node36(c_p2, s0) | m_processor_v_state(c_p2, s1, c_shared) | m_processor_v_master(c_p2, s0) | m_processor_v_state(c_p2, s1, c_invalid) | (~node38(c_p2, s0, s1)) | m_processor_v_abort(c_p2, s0))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p2, s0) | node36(c_p2, s0) | m_processor_v_abort(c_p2, s0) | (~m_processor_v_state(c_p2, s0, c_shared)) | m_processor_v_state(c_p2, s1, c_shared) | m_processor_v_state(c_p2, s1, c_invalid) | (~node38(c_p2, s0, s1)))),
% 51.18/33.81 inference(transitivity,[status(thm)],[27365, 27363])).
% 51.18/33.81 tff(27367,plain,
% 51.18/33.81 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p2, s0, c_shared)) | node36(c_p2, s0) | m_processor_v_state(c_p2, s1, c_shared) | m_processor_v_master(c_p2, s0) | m_processor_v_state(c_p2, s1, c_invalid) | (~node38(c_p2, s0, s1)) | m_processor_v_abort(c_p2, s0))),
% 51.18/33.81 inference(quant_inst,[status(thm)],[])).
% 51.18/33.81 tff(27368,plain,
% 51.18/33.81 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p2, s0) | node36(c_p2, s0) | m_processor_v_abort(c_p2, s0) | (~m_processor_v_state(c_p2, s0, c_shared)) | m_processor_v_state(c_p2, s1, c_shared) | m_processor_v_state(c_p2, s1, c_invalid) | (~node38(c_p2, s0, s1))),
% 51.18/33.81 inference(modus_ponens,[status(thm)],[27367, 27366])).
% 51.18/33.81 tff(27369,plain,
% 51.18/33.81 (m_processor_v_master(c_p2, s0) | node36(c_p2, s0) | m_processor_v_abort(c_p2, s0) | (~m_processor_v_state(c_p2, s0, c_shared)) | m_processor_v_state(c_p2, s1, c_shared) | m_processor_v_state(c_p2, s1, c_invalid)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27368, 341, 27232])).
% 51.18/33.81 tff(27370,plain,
% 51.18/33.81 (~m_processor_v_state(c_p2, s0, c_shared)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27369, 27211, 27362, 27213, 4046, 27228])).
% 51.18/33.81 tff(27371,plain,
% 51.18/33.81 (node37(c_p2, s0, s1)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27239, 27370, 4046, 27213, 27228])).
% 51.18/33.81 tff(27372,plain,
% 51.18/33.81 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p2, s0, c_invalid)) | m_processor_v_state(c_p2, s1, c_invalid) | (~node37(c_p2, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p2, s0, c_invalid)) | m_processor_v_state(c_p2, s1, c_invalid) | (~node37(c_p2, s0, s1)))),
% 51.18/33.81 inference(rewrite,[status(thm)],[])).
% 51.18/33.81 tff(27373,plain,
% 51.18/33.81 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p2, s0, c_invalid)) | m_processor_v_state(c_p2, s1, c_invalid) | (~node37(c_p2, s0, s1)))),
% 51.18/33.81 inference(quant_inst,[status(thm)],[])).
% 51.18/33.81 tff(27374,plain,
% 51.18/33.81 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p2, s0, c_invalid)) | m_processor_v_state(c_p2, s1, c_invalid) | (~node37(c_p2, s0, s1))),
% 51.18/33.81 inference(modus_ponens,[status(thm)],[27373, 27372])).
% 51.18/33.81 tff(27375,plain,
% 51.18/33.81 ($false),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27374, 2411, 27211, 4518, 27371])).
% 51.18/33.81 tff(27376,plain,(m_processor_v_state(c_p2, s1, c_invalid) | m_processor_v_master(c_p2, s0) | m_processor_v_abort(c_p2, s0) | node36(c_p2, s0) | m_processor_v_state(c_p2, s1, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.18/33.81 tff(27377,plain,
% 51.18/33.81 (m_processor_v_state(c_p2, s1, c_invalid) | m_processor_v_master(c_p2, s0) | m_processor_v_abort(c_p2, s0) | m_processor_v_state(c_p2, s1, c_shared)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27376, 27227])).
% 51.18/33.81 tff(27378,plain,
% 51.18/33.81 (m_processor_v_state(c_p2, s1, c_invalid) | m_processor_v_master(c_p2, s0) | m_processor_v_abort(c_p2, s0)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27377, 27361])).
% 51.18/33.81 tff(27379,plain,
% 51.18/33.81 (m_processor_v_abort(c_p2, s0)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27378, 27211, 4046])).
% 51.18/33.81 tff(27380,assumption,(~m_processor_v_state(c_p2, s1, c_owned)), introduced(assumption)).
% 51.18/33.81 tff(27381,plain,
% 51.18/33.81 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p2, s1, c_owned) | m_processor_v_state(c_p2, s1, c_shared) | m_processor_v_state(c_p2, s1, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p2, s1, c_owned) | m_processor_v_state(c_p2, s1, c_shared) | m_processor_v_state(c_p2, s1, c_invalid))),
% 51.18/33.81 inference(rewrite,[status(thm)],[])).
% 51.18/33.81 tff(27382,plain,
% 51.18/33.81 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p2, s1, c_owned) | m_processor_v_state(c_p2, s1, c_shared) | m_processor_v_state(c_p2, s1, c_invalid))),
% 51.18/33.81 inference(quant_inst,[status(thm)],[])).
% 51.18/33.81 tff(27383,plain,
% 51.18/33.81 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p2, s1, c_owned) | m_processor_v_state(c_p2, s1, c_shared) | m_processor_v_state(c_p2, s1, c_invalid)),
% 51.18/33.81 inference(modus_ponens,[status(thm)],[27382, 27381])).
% 51.18/33.81 tff(27384,plain,
% 51.18/33.81 ($false),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27383, 153, 27380, 27362, 27211])).
% 51.18/33.81 tff(27385,plain,(m_processor_v_state(c_p2, s1, c_shared) | m_processor_v_state(c_p2, s1, c_owned) | m_processor_v_state(c_p2, s1, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.18/33.81 tff(27386,plain,
% 51.18/33.81 (m_processor_v_state(c_p2, s1, c_owned) | m_processor_v_state(c_p2, s1, c_invalid)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27385, 27361])).
% 51.18/33.81 tff(27387,plain,
% 51.18/33.81 (m_processor_v_state(c_p2, s1, c_owned)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27386, 27211])).
% 51.18/33.81 tff(27388,assumption,(node32(c_p2, s0, s1)), introduced(assumption)).
% 51.18/33.81 tff(27389,assumption,(m_processor_v_state(c_p2, s1, c_owned)), introduced(assumption)).
% 51.18/33.81 tff(27390,plain,
% 51.18/33.81 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)) | (~node32(c_p2, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)) | (~node32(c_p2, s0, s1)))),
% 51.18/33.81 inference(rewrite,[status(thm)],[])).
% 51.18/33.81 tff(27391,plain,
% 51.18/33.81 (((~node32(c_p2, s0, s1)) | m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned))) <=> (m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)) | (~node32(c_p2, s0, s1)))),
% 51.18/33.81 inference(rewrite,[status(thm)],[])).
% 51.18/33.81 tff(27392,plain,
% 51.18/33.81 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p2, s0, s1)) | m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)) | (~node32(c_p2, s0, s1))))),
% 51.18/33.81 inference(monotonicity,[status(thm)],[27391])).
% 51.18/33.81 tff(27393,plain,
% 51.18/33.81 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p2, s0, s1)) | m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)) | (~node32(c_p2, s0, s1)))),
% 51.18/33.81 inference(transitivity,[status(thm)],[27392, 27390])).
% 51.18/33.81 tff(27394,plain,
% 51.18/33.81 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p2, s0, s1)) | m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)))),
% 51.18/33.81 inference(quant_inst,[status(thm)],[])).
% 51.18/33.81 tff(27395,plain,
% 51.18/33.81 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)) | (~node32(c_p2, s0, s1))),
% 51.18/33.81 inference(modus_ponens,[status(thm)],[27394, 27393])).
% 51.18/33.81 tff(27396,plain,
% 51.18/33.81 ($false),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27395, 261, 27389, 4524, 27388])).
% 51.18/33.81 tff(27397,plain,((~node32(c_p2, s0, s1)) | (~m_processor_v_state(c_p2, s1, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.18/33.81 tff(27398,plain,
% 51.18/33.81 (~node32(c_p2, s0, s1)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27397, 27387])).
% 51.18/33.81 tff(27399,plain,
% 51.18/33.81 ($false),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27352, 27398, 27379])).
% 51.18/33.81 tff(27400,plain,(m_processor_v_state(c_p2, s1, c_invalid) | m_processor_v_master(c_p2, s0)), inference(lemma,lemma(discharge,[]))).
% 51.18/33.81 tff(27401,plain,
% 51.18/33.81 (m_processor_v_master(c_p2, s0)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27400, 27211])).
% 51.18/33.81 tff(27402,plain,
% 51.18/33.81 (node16(s0)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[4043, 27401])).
% 51.18/33.81 tff(27403,plain,
% 51.18/33.81 (~m_processor_v_master(c_p1, s0)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[4038, 27402])).
% 51.18/33.81 tff(27404,plain,
% 51.18/33.81 (~node62(c_p1, s0)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[2982, 27403])).
% 51.18/33.81 tff(27405,plain,
% 51.18/33.81 (m_processor_v_cmd(c_p1, s0, c_idle)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[3027, 27404])).
% 51.18/33.81 tff(27406,plain,
% 51.18/33.81 (~m_processor_v_master(c_p0, s0)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27253, 27402])).
% 51.18/33.81 tff(27407,plain,
% 51.18/33.81 (~node62(c_p0, s0)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[4129, 1493, 27406])).
% 51.18/33.81 tff(27408,plain,
% 51.18/33.81 (m_processor_v_cmd(c_p0, s0, c_idle)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[4166, 27407])).
% 51.18/33.81 tff(27409,plain,
% 51.18/33.81 (m_main_v_CMD(s0, c_idle)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[7725, 27408, 27405])).
% 51.18/33.81 tff(27410,plain,
% 51.18/33.81 (~m_main_v_CMD(s0, c_write_h_shared)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27296, 27293, 27409])).
% 51.18/33.81 tff(27411,plain,
% 51.18/33.81 (~m_processor_v_CMD(c_p2, s0, c_write_h_shared)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27300, 21573, 27262, 27410])).
% 51.18/33.81 tff(27412,plain,
% 51.18/33.81 (~m_main_v_CMD(s0, c_write_h_resp_h_shared)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[7653, 7650, 27409])).
% 51.18/33.81 tff(27413,plain,
% 51.18/33.81 (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27265, 21573, 27262, 27412])).
% 51.18/33.81 tff(27414,plain,
% 51.18/33.81 (~m_main_v_CMD(s0, c_write_h_invalid)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27276, 27273, 27409])).
% 51.18/33.81 tff(27415,plain,
% 51.18/33.81 (~m_processor_v_CMD(c_p2, s0, c_write_h_invalid)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27280, 21573, 27262, 27414])).
% 51.18/33.81 tff(27416,plain,
% 51.18/33.81 (~m_processor_v_abort(c_p2, s0)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27352, 27398])).
% 51.18/33.81 tff(27417,plain,
% 51.18/33.81 (node34(c_p2, s0, s1)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27308, 27416, 27401])).
% 51.18/33.81 tff(27418,plain,
% 51.18/33.81 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~m_processor_v_CMD(c_p2, s0, c_read_h_shared)) | m_processor_v_state(c_p2, s1, c_shared) | (~node34(c_p2, s0, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)) | m_processor_v_state(c_p2, s1, c_shared) | (~node34(c_p2, s0, s1)))),
% 51.18/33.81 inference(rewrite,[status(thm)],[])).
% 51.18/33.81 tff(27419,plain,
% 51.18/33.81 (((~node34(c_p2, s0, s1)) | m_processor_v_state(c_p2, s1, c_shared) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared))) <=> ((~m_processor_v_CMD(c_p2, s0, c_read_h_shared)) | m_processor_v_state(c_p2, s1, c_shared) | (~node34(c_p2, s0, s1)))),
% 51.18/33.81 inference(rewrite,[status(thm)],[])).
% 51.18/33.81 tff(27420,plain,
% 51.18/33.81 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p2, s0, s1)) | m_processor_v_state(c_p2, s1, c_shared) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~m_processor_v_CMD(c_p2, s0, c_read_h_shared)) | m_processor_v_state(c_p2, s1, c_shared) | (~node34(c_p2, s0, s1))))),
% 51.18/33.81 inference(monotonicity,[status(thm)],[27419])).
% 51.18/33.81 tff(27421,plain,
% 51.18/33.81 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p2, s0, s1)) | m_processor_v_state(c_p2, s1, c_shared) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)) | m_processor_v_state(c_p2, s1, c_shared) | (~node34(c_p2, s0, s1)))),
% 51.18/33.81 inference(transitivity,[status(thm)],[27420, 27418])).
% 51.18/33.81 tff(27422,plain,
% 51.18/33.81 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p2, s0, s1)) | m_processor_v_state(c_p2, s1, c_shared) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)))),
% 51.18/33.81 inference(quant_inst,[status(thm)],[])).
% 51.18/33.81 tff(27423,plain,
% 51.18/33.81 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)) | m_processor_v_state(c_p2, s1, c_shared) | (~node34(c_p2, s0, s1))),
% 51.18/33.81 inference(modus_ponens,[status(thm)],[27422, 27421])).
% 51.18/33.81 tff(27424,plain,
% 51.18/33.81 (~m_processor_v_CMD(c_p2, s0, c_read_h_shared)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27423, 416, 27361, 27417])).
% 51.18/33.81 tff(27425,plain,
% 51.18/33.81 (~m_main_v_CMD(s0, c_write_h_resp_h_invalid)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[7666, 7663, 27409])).
% 51.18/33.81 tff(27426,plain,
% 51.18/33.81 (~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27285, 21573, 27262, 27425])).
% 51.18/33.81 tff(27427,plain,
% 51.18/33.81 (~m_main_v_CMD(s0, c_read_h_owned)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27312, 1971, 27409])).
% 51.18/33.81 tff(27428,plain,
% 51.18/33.81 (~m_processor_v_CMD(c_p2, s0, c_read_h_owned)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27316, 21573, 27262, 27427])).
% 51.18/33.81 tff(27429,plain,
% 51.18/33.81 (~node32(c_p2, s0, s1)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27397, 27389])).
% 51.18/33.81 tff(27430,assumption,(~m_processor_v_CMD(c_p2, s0, c_write_h_shared)), introduced(assumption)).
% 51.18/33.81 tff(27431,assumption,(~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared)), introduced(assumption)).
% 51.18/33.81 tff(27432,assumption,(~m_processor_v_CMD(c_p2, s0, c_write_h_invalid)), introduced(assumption)).
% 51.18/33.81 tff(27433,assumption,(~m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid)), introduced(assumption)).
% 51.18/33.81 tff(27434,assumption,(~m_processor_v_CMD(c_p2, s0, c_read_h_shared)), introduced(assumption)).
% 51.18/33.81 tff(27435,assumption,(~m_processor_v_CMD(c_p2, s0, c_read_h_owned)), introduced(assumption)).
% 51.18/33.81 tff(27436,assumption,(m_processor_v_state(c_p2, s1, c_invalid)), introduced(assumption)).
% 51.18/33.81 tff(27437,plain,
% 51.18/33.81 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p2, s1, c_invalid)) | (~m_processor_v_state(c_p2, s1, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p2, s1, c_invalid)) | (~m_processor_v_state(c_p2, s1, c_owned)))),
% 51.18/33.81 inference(rewrite,[status(thm)],[])).
% 51.18/33.81 tff(27438,plain,
% 51.18/33.81 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p2, s1, c_invalid)) | (~m_processor_v_state(c_p2, s1, c_owned)))),
% 51.18/33.81 inference(quant_inst,[status(thm)],[])).
% 51.18/33.81 tff(27439,plain,
% 51.18/33.81 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p2, s1, c_invalid)) | (~m_processor_v_state(c_p2, s1, c_owned))),
% 51.18/33.81 inference(modus_ponens,[status(thm)],[27438, 27437])).
% 51.18/33.81 tff(27440,plain,
% 51.18/33.81 ($false),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27439, 137, 27389, 27436])).
% 51.18/33.81 tff(27441,plain,((~m_processor_v_state(c_p2, s1, c_owned)) | (~m_processor_v_state(c_p2, s1, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 51.18/33.81 tff(27442,plain,
% 51.18/33.81 (~m_processor_v_state(c_p2, s1, c_invalid)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27441, 27389])).
% 51.18/33.81 tff(27443,plain,
% 51.18/33.81 (m_processor_v_master(c_p2, s0)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27378, 27442, 27213])).
% 51.18/33.81 tff(27444,plain,
% 51.18/33.81 (node34(c_p2, s0, s1)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27308, 27443, 27213])).
% 51.18/33.81 tff(27445,plain,
% 51.18/33.81 (node33(c_p2, s0, s1)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27341, 474, 27444, 27434, 27435, 27430, 27433, 27432, 27431])).
% 51.18/33.81 tff(27446,plain,
% 51.18/33.81 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)) | (~node33(c_p2, s0, s1)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)) | (~node33(c_p2, s0, s1)))),
% 51.18/33.81 inference(rewrite,[status(thm)],[])).
% 51.18/33.81 tff(27447,plain,
% 51.18/33.81 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)) | (~node33(c_p2, s0, s1)))),
% 51.18/33.81 inference(quant_inst,[status(thm)],[])).
% 51.18/33.81 tff(27448,plain,
% 51.18/33.81 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p2, s0, c_owned) | (~m_processor_v_state(c_p2, s1, c_owned)) | (~node33(c_p2, s0, s1))),
% 51.18/33.81 inference(modus_ponens,[status(thm)],[27447, 27446])).
% 51.18/33.81 tff(27449,plain,
% 51.18/33.81 ($false),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27448, 830, 27389, 4524, 27445])).
% 51.18/33.81 tff(27450,plain,((~m_processor_v_state(c_p2, s1, c_owned)) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_CMD(c_p2, s0, c_write_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared) | m_processor_v_abort(c_p2, s0)), inference(lemma,lemma(discharge,[]))).
% 51.18/33.81 tff(27451,plain,
% 51.18/33.81 (m_processor_v_abort(c_p2, s0)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27450, 27389, 27435, 27434, 27433, 27432, 27431, 27430])).
% 51.18/33.81 tff(27452,plain,
% 51.18/33.81 ($false),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27352, 27451, 27429])).
% 51.18/33.81 tff(27453,plain,((~m_processor_v_state(c_p2, s1, c_owned)) | m_processor_v_CMD(c_p2, s0, c_read_h_owned) | m_processor_v_CMD(c_p2, s0, c_read_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_invalid) | m_processor_v_CMD(c_p2, s0, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s0, c_write_h_shared)), inference(lemma,lemma(discharge,[]))).
% 51.18/33.81 tff(27454,plain,
% 51.18/33.81 ($false),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27453, 27428, 27426, 27387, 27424, 27415, 27413, 27411])).
% 51.18/33.81 tff(27455,plain,(m_processor_v_state(c_p2, s1, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.18/33.81 tff(27456,plain,
% 51.18/33.81 (~m_processor_v_state(c_p2, s1, c_owned)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27441, 27455])).
% 51.18/33.81 tff(27457,assumption,(node37(c_p2, s1, s2)), introduced(assumption)).
% 51.18/33.81 tff(27458,plain,
% 51.18/33.81 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p2, s1, c_owned) | (~m_processor_v_state(c_p2, s2, c_owned)) | (~node37(c_p2, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p2, s1, c_owned) | (~m_processor_v_state(c_p2, s2, c_owned)) | (~node37(c_p2, s1, s2)))),
% 51.18/33.81 inference(rewrite,[status(thm)],[])).
% 51.18/33.81 tff(27459,plain,
% 51.18/33.81 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p2, s1, c_owned) | (~m_processor_v_state(c_p2, s2, c_owned)) | (~node37(c_p2, s1, s2)))),
% 51.18/33.81 inference(quant_inst,[status(thm)],[])).
% 51.18/33.81 tff(27460,plain,
% 51.18/33.81 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p2, s1, c_owned) | (~m_processor_v_state(c_p2, s2, c_owned)) | (~node37(c_p2, s1, s2))),
% 51.18/33.81 inference(modus_ponens,[status(thm)],[27459, 27458])).
% 51.18/33.81 tff(27461,plain,
% 51.18/33.81 ($false),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27460, 182, 27380, 27210, 27457])).
% 51.18/33.81 tff(27462,plain,((~m_processor_v_state(c_p2, s2, c_owned)) | m_processor_v_state(c_p2, s1, c_owned) | (~node37(c_p2, s1, s2))), inference(lemma,lemma(discharge,[]))).
% 51.18/33.81 tff(27463,plain,
% 51.18/33.81 ((~m_processor_v_state(c_p2, s2, c_owned)) | (~node37(c_p2, s1, s2))),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27462, 27456])).
% 51.18/33.81 tff(27464,plain,
% 51.18/33.81 (~node37(c_p2, s1, s2)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27463, 27210])).
% 51.18/33.81 tff(27465,assumption,(~node37(c_p2, s1, s2)), introduced(assumption)).
% 51.18/33.81 tff(27466,assumption,(~m_processor_v_abort(c_p2, s1)), introduced(assumption)).
% 51.18/33.81 tff(27467,assumption,(node36(c_p2, s1)), introduced(assumption)).
% 51.18/33.81 tff(27468,plain,
% 51.18/33.81 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | ((~node36(c_p2, s1)) | m_processor_v_state(c_p2, s1, c_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (~node36(c_p2, s1)) | m_processor_v_state(c_p2, s1, c_shared))),
% 51.18/33.81 inference(rewrite,[status(thm)],[])).
% 51.18/33.81 tff(27469,plain,
% 51.18/33.81 ((m_processor_v_state(c_p2, s1, c_shared) | (~node36(c_p2, s1))) <=> ((~node36(c_p2, s1)) | m_processor_v_state(c_p2, s1, c_shared))),
% 51.18/33.81 inference(rewrite,[status(thm)],[])).
% 51.18/33.81 tff(27470,plain,
% 51.18/33.81 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p2, s1, c_shared) | (~node36(c_p2, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | ((~node36(c_p2, s1)) | m_processor_v_state(c_p2, s1, c_shared)))),
% 51.18/33.81 inference(monotonicity,[status(thm)],[27469])).
% 51.18/33.81 tff(27471,plain,
% 51.18/33.81 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p2, s1, c_shared) | (~node36(c_p2, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (~node36(c_p2, s1)) | m_processor_v_state(c_p2, s1, c_shared))),
% 51.18/33.81 inference(transitivity,[status(thm)],[27470, 27468])).
% 51.18/33.81 tff(27472,plain,
% 51.18/33.81 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p2, s1, c_shared) | (~node36(c_p2, s1)))),
% 51.18/33.81 inference(quant_inst,[status(thm)],[])).
% 51.18/33.81 tff(27473,plain,
% 51.18/33.81 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (~node36(c_p2, s1)) | m_processor_v_state(c_p2, s1, c_shared)),
% 51.18/33.81 inference(modus_ponens,[status(thm)],[27472, 27471])).
% 51.18/33.81 tff(27474,plain,
% 51.18/33.81 ($false),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27473, 167, 27362, 27467])).
% 51.18/33.81 tff(27475,plain,((~node36(c_p2, s1)) | m_processor_v_state(c_p2, s1, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.18/33.81 tff(27476,plain,
% 51.18/33.81 (~node36(c_p2, s1)),
% 51.18/33.81 inference(unit_resolution,[status(thm)],[27475, 27362])).
% 51.18/33.81 tff(27477,assumption,(~node38(c_p2, s1, s2)), introduced(assumption)).
% 51.18/33.81 tff(27478,plain,
% 51.18/33.81 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s1, s2)) | node38(c_p2, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s1, s2)) | node38(c_p2, s1, s2))),
% 51.18/33.82 inference(rewrite,[status(thm)],[])).
% 51.18/33.82 tff(27479,plain,
% 51.18/33.82 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s1, s2)) | node38(c_p2, s1, s2))),
% 51.18/33.82 inference(quant_inst,[status(thm)],[])).
% 51.18/33.82 tff(27480,plain,
% 51.18/33.82 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s1, s2)) | node38(c_p2, s1, s2)),
% 51.18/33.82 inference(modus_ponens,[status(thm)],[27479, 27478])).
% 51.18/33.82 tff(27481,plain,
% 51.18/33.82 ($false),
% 51.18/33.82 inference(unit_resolution,[status(thm)],[27480, 210, 3136, 27477])).
% 51.18/33.82 tff(27482,plain,(node38(c_p2, s1, s2)), inference(lemma,lemma(discharge,[]))).
% 51.18/33.82 tff(27483,plain,
% 51.18/33.82 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p2, s1) | node36(c_p2, s1) | m_processor_v_abort(c_p2, s1) | m_processor_v_state(c_p2, s1, c_shared) | node37(c_p2, s1, s2) | (~node38(c_p2, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p2, s1) | node36(c_p2, s1) | m_processor_v_abort(c_p2, s1) | m_processor_v_state(c_p2, s1, c_shared) | node37(c_p2, s1, s2) | (~node38(c_p2, s1, s2)))),
% 51.18/33.82 inference(rewrite,[status(thm)],[])).
% 51.18/33.82 tff(27484,plain,
% 51.18/33.82 ((m_processor_v_state(c_p2, s1, c_shared) | node36(c_p2, s1) | m_processor_v_master(c_p2, s1) | node37(c_p2, s1, s2) | (~node38(c_p2, s1, s2)) | m_processor_v_abort(c_p2, s1)) <=> (m_processor_v_master(c_p2, s1) | node36(c_p2, s1) | m_processor_v_abort(c_p2, s1) | m_processor_v_state(c_p2, s1, c_shared) | node37(c_p2, s1, s2) | (~node38(c_p2, s1, s2)))),
% 51.18/33.82 inference(rewrite,[status(thm)],[])).
% 51.18/33.82 tff(27485,plain,
% 51.18/33.82 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p2, s1, c_shared) | node36(c_p2, s1) | m_processor_v_master(c_p2, s1) | node37(c_p2, s1, s2) | (~node38(c_p2, s1, s2)) | m_processor_v_abort(c_p2, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p2, s1) | node36(c_p2, s1) | m_processor_v_abort(c_p2, s1) | m_processor_v_state(c_p2, s1, c_shared) | node37(c_p2, s1, s2) | (~node38(c_p2, s1, s2))))),
% 51.18/33.82 inference(monotonicity,[status(thm)],[27484])).
% 51.18/33.82 tff(27486,plain,
% 51.18/33.82 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p2, s1, c_shared) | node36(c_p2, s1) | m_processor_v_master(c_p2, s1) | node37(c_p2, s1, s2) | (~node38(c_p2, s1, s2)) | m_processor_v_abort(c_p2, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p2, s1) | node36(c_p2, s1) | m_processor_v_abort(c_p2, s1) | m_processor_v_state(c_p2, s1, c_shared) | node37(c_p2, s1, s2) | (~node38(c_p2, s1, s2)))),
% 51.18/33.82 inference(transitivity,[status(thm)],[27485, 27483])).
% 51.18/33.82 tff(27487,plain,
% 51.18/33.82 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p2, s1, c_shared) | node36(c_p2, s1) | m_processor_v_master(c_p2, s1) | node37(c_p2, s1, s2) | (~node38(c_p2, s1, s2)) | m_processor_v_abort(c_p2, s1))),
% 51.18/33.82 inference(quant_inst,[status(thm)],[])).
% 51.18/33.82 tff(27488,plain,
% 51.18/33.82 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p2, s1) | node36(c_p2, s1) | m_processor_v_abort(c_p2, s1) | m_processor_v_state(c_p2, s1, c_shared) | node37(c_p2, s1, s2) | (~node38(c_p2, s1, s2))),
% 51.18/33.82 inference(modus_ponens,[status(thm)],[27487, 27486])).
% 51.18/33.82 tff(27489,plain,
% 51.18/33.82 ($false),
% 51.18/33.82 inference(unit_resolution,[status(thm)],[27488, 225, 3399, 27362, 27482, 27476, 27466, 27465])).
% 51.18/33.82 tff(27490,plain,(node37(c_p2, s1, s2) | m_processor_v_master(c_p2, s1) | m_processor_v_state(c_p2, s1, c_shared) | m_processor_v_abort(c_p2, s1)), inference(lemma,lemma(discharge,[]))).
% 51.18/33.82 tff(27491,plain,
% 51.18/33.82 (node37(c_p2, s1, s2) | m_processor_v_master(c_p2, s1) | m_processor_v_abort(c_p2, s1)),
% 51.18/33.82 inference(unit_resolution,[status(thm)],[27490, 27361])).
% 51.18/33.82 tff(27492,plain,
% 51.18/33.82 (m_processor_v_abort(c_p2, s1)),
% 51.18/33.82 inference(unit_resolution,[status(thm)],[27491, 27464, 3399])).
% 51.18/33.82 tff(27493,assumption,(~node32(c_p2, s1, s2)), introduced(assumption)).
% 51.18/33.82 tff(27494,assumption,(m_processor_v_abort(c_p2, s1)), introduced(assumption)).
% 51.18/33.82 tff(27495,plain,
% 51.18/33.82 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | ((~m_processor_v_abort(c_p2, s1)) | node32(c_p2, s1, s2) | (~node38(c_p2, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~m_processor_v_abort(c_p2, s1)) | node32(c_p2, s1, s2) | (~node38(c_p2, s1, s2)))),
% 51.18/33.82 inference(rewrite,[status(thm)],[])).
% 51.18/33.82 tff(27496,plain,
% 51.18/33.82 ((node32(c_p2, s1, s2) | (~node38(c_p2, s1, s2)) | (~m_processor_v_abort(c_p2, s1))) <=> ((~m_processor_v_abort(c_p2, s1)) | node32(c_p2, s1, s2) | (~node38(c_p2, s1, s2)))),
% 51.18/33.82 inference(rewrite,[status(thm)],[])).
% 51.18/33.82 tff(27497,plain,
% 51.18/33.82 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p2, s1, s2) | (~node38(c_p2, s1, s2)) | (~m_processor_v_abort(c_p2, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | ((~m_processor_v_abort(c_p2, s1)) | node32(c_p2, s1, s2) | (~node38(c_p2, s1, s2))))),
% 51.18/33.82 inference(monotonicity,[status(thm)],[27496])).
% 51.18/33.82 tff(27498,plain,
% 51.18/33.82 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p2, s1, s2) | (~node38(c_p2, s1, s2)) | (~m_processor_v_abort(c_p2, s1)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~m_processor_v_abort(c_p2, s1)) | node32(c_p2, s1, s2) | (~node38(c_p2, s1, s2)))),
% 51.18/33.82 inference(transitivity,[status(thm)],[27497, 27495])).
% 51.18/33.82 tff(27499,plain,
% 51.18/33.82 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p2, s1, s2) | (~node38(c_p2, s1, s2)) | (~m_processor_v_abort(c_p2, s1)))),
% 51.18/33.82 inference(quant_inst,[status(thm)],[])).
% 51.18/33.82 tff(27500,plain,
% 51.18/33.82 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~m_processor_v_abort(c_p2, s1)) | node32(c_p2, s1, s2) | (~node38(c_p2, s1, s2))),
% 51.18/33.82 inference(modus_ponens,[status(thm)],[27499, 27498])).
% 51.18/33.82 tff(27501,plain,
% 51.18/33.82 ($false),
% 51.18/33.82 inference(unit_resolution,[status(thm)],[27500, 243, 27482, 27494, 27493])).
% 51.18/33.82 tff(27502,plain,(node32(c_p2, s1, s2) | (~m_processor_v_abort(c_p2, s1))), inference(lemma,lemma(discharge,[]))).
% 51.18/33.82 tff(27503,plain,
% 51.18/33.82 (node32(c_p2, s1, s2)),
% 51.18/33.82 inference(unit_resolution,[status(thm)],[27502, 27492])).
% 51.18/33.82 tff(27504,assumption,(node32(c_p2, s1, s2)), introduced(assumption)).
% 51.18/33.82 tff(27505,assumption,(~m_processor_v_state(c_p2, s2, c_invalid)), introduced(assumption)).
% 51.18/33.82 tff(27506,plain,
% 51.18/33.82 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p2, s1, c_invalid)) | m_processor_v_state(c_p2, s2, c_invalid) | (~node32(c_p2, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p2, s1, c_invalid)) | m_processor_v_state(c_p2, s2, c_invalid) | (~node32(c_p2, s1, s2)))),
% 51.18/33.82 inference(rewrite,[status(thm)],[])).
% 51.18/33.82 tff(27507,plain,
% 51.18/33.82 (((~node32(c_p2, s1, s2)) | (~m_processor_v_state(c_p2, s1, c_invalid)) | m_processor_v_state(c_p2, s2, c_invalid)) <=> ((~m_processor_v_state(c_p2, s1, c_invalid)) | m_processor_v_state(c_p2, s2, c_invalid) | (~node32(c_p2, s1, s2)))),
% 51.18/33.82 inference(rewrite,[status(thm)],[])).
% 51.18/33.82 tff(27508,plain,
% 51.18/33.82 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p2, s1, s2)) | (~m_processor_v_state(c_p2, s1, c_invalid)) | m_processor_v_state(c_p2, s2, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p2, s1, c_invalid)) | m_processor_v_state(c_p2, s2, c_invalid) | (~node32(c_p2, s1, s2))))),
% 51.18/33.82 inference(monotonicity,[status(thm)],[27507])).
% 51.18/33.82 tff(27509,plain,
% 51.18/33.82 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p2, s1, s2)) | (~m_processor_v_state(c_p2, s1, c_invalid)) | m_processor_v_state(c_p2, s2, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p2, s1, c_invalid)) | m_processor_v_state(c_p2, s2, c_invalid) | (~node32(c_p2, s1, s2)))),
% 51.18/33.82 inference(transitivity,[status(thm)],[27508, 27506])).
% 51.18/33.82 tff(27510,plain,
% 51.18/33.82 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p2, s1, s2)) | (~m_processor_v_state(c_p2, s1, c_invalid)) | m_processor_v_state(c_p2, s2, c_invalid))),
% 51.18/33.82 inference(quant_inst,[status(thm)],[])).
% 51.18/33.82 tff(27511,plain,
% 51.18/33.82 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p2, s1, c_invalid)) | m_processor_v_state(c_p2, s2, c_invalid) | (~node32(c_p2, s1, s2))),
% 51.18/33.82 inference(modus_ponens,[status(thm)],[27510, 27509])).
% 51.18/33.82 tff(27512,plain,
% 51.18/33.82 ($false),
% 51.18/33.82 inference(unit_resolution,[status(thm)],[27511, 380, 27436, 27505, 27504])).
% 51.18/33.82 tff(27513,plain,((~node32(c_p2, s1, s2)) | (~m_processor_v_state(c_p2, s1, c_invalid)) | m_processor_v_state(c_p2, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.18/33.82 tff(27514,plain,
% 51.18/33.82 ((~node32(c_p2, s1, s2)) | m_processor_v_state(c_p2, s2, c_invalid)),
% 51.18/33.82 inference(unit_resolution,[status(thm)],[27513, 27455])).
% 51.18/33.82 tff(27515,plain,
% 51.18/33.82 (m_processor_v_state(c_p2, s2, c_invalid)),
% 51.18/33.82 inference(unit_resolution,[status(thm)],[27514, 27503])).
% 51.18/33.82 tff(27516,plain,
% 51.18/33.82 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p2, s2, c_invalid)) | (~m_processor_v_state(c_p2, s2, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p2, s2, c_invalid)) | (~m_processor_v_state(c_p2, s2, c_owned)))),
% 51.18/33.82 inference(rewrite,[status(thm)],[])).
% 51.18/33.82 tff(27517,plain,
% 51.18/33.82 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p2, s2, c_invalid)) | (~m_processor_v_state(c_p2, s2, c_owned)))),
% 51.18/33.82 inference(quant_inst,[status(thm)],[])).
% 51.18/33.82 tff(27518,plain,
% 51.18/33.82 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p2, s2, c_invalid)) | (~m_processor_v_state(c_p2, s2, c_owned))),
% 51.18/33.82 inference(modus_ponens,[status(thm)],[27517, 27516])).
% 51.18/33.82 tff(27519,plain,
% 51.18/33.82 ($false),
% 51.18/33.82 inference(unit_resolution,[status(thm)],[27518, 137, 27210, 27515])).
% 51.18/33.82 tff(27520,plain,((~m_processor_v_state(c_p2, s2, c_owned)) | m_processor_v_master(c_p2, s1)), inference(lemma,lemma(discharge,[]))).
% 51.18/33.82 tff(27521,plain,
% 51.18/33.82 (m_processor_v_master(c_p2, s1)),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[27520, 27210])).
% 51.21/33.82 tff(27522,assumption,(~node16(s1)), introduced(assumption)).
% 51.21/33.82 tff(27523,plain,
% 51.21/33.82 ($false),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[3393, 1545, 3670, 27522])).
% 51.21/33.82 tff(27524,plain,(node16(s1) | (~m_processor_v_master(c_p2, s1))), inference(lemma,lemma(discharge,[]))).
% 51.21/33.82 tff(27525,plain,
% 51.21/33.82 (node16(s1)),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[27524, 27521])).
% 51.21/33.82 tff(27526,assumption,(node16(s1)), introduced(assumption)).
% 51.21/33.82 tff(27527,plain,
% 51.21/33.82 ($false),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[4858, 1530, 4840, 27526])).
% 51.21/33.82 tff(27528,plain,((~m_processor_v_master(c_p0, s1)) | (~node16(s1))), inference(lemma,lemma(discharge,[]))).
% 51.21/33.82 tff(27529,plain,
% 51.21/33.82 (~m_processor_v_master(c_p0, s1)),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[27528, 27525])).
% 51.21/33.82 tff(27530,plain,
% 51.21/33.82 (m_processor_v_cmd(c_p0, s1, c_idle)),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[3298, 27529])).
% 51.21/33.82 tff(27531,assumption,(m_processor_v_cmd(c_p2, s1, c_idle)), introduced(assumption)).
% 51.21/33.82 tff(27532,assumption,(~m_processor_v_cmd(c_p2, s1, c_read_h_owned)), introduced(assumption)).
% 51.21/33.82 tff(27533,plain,
% 51.21/33.82 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p2, s1, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p2, s1, c_read_h_shared)))),
% 51.21/33.82 inference(rewrite,[status(thm)],[])).
% 51.21/33.82 tff(27534,plain,
% 51.21/33.82 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p2, s1, c_read_h_shared)))),
% 51.21/33.82 inference(quant_inst,[status(thm)],[])).
% 51.21/33.82 tff(27535,plain,
% 51.21/33.82 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p2, s1, c_read_h_shared))),
% 51.21/33.82 inference(modus_ponens,[status(thm)],[27534, 27533])).
% 51.21/33.82 tff(27536,plain,
% 51.21/33.82 (~m_processor_v_cmd(c_p2, s1, c_read_h_shared)),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[27535, 3200, 27531])).
% 51.21/33.82 tff(27537,assumption,(~m_processor_v_cmd(c_p2, s1, c_read_h_shared)), introduced(assumption)).
% 51.21/33.82 tff(27538,plain,
% 51.21/33.82 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p2, s1)) | m_processor_v_cmd(c_p2, s1, c_read_h_owned) | m_processor_v_cmd(c_p2, s1, c_read_h_shared) | (~m_processor_v_state(c_p2, s1, c_invalid)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p2, s1)) | m_processor_v_cmd(c_p2, s1, c_read_h_owned) | m_processor_v_cmd(c_p2, s1, c_read_h_shared) | (~m_processor_v_state(c_p2, s1, c_invalid)))),
% 51.21/33.82 inference(rewrite,[status(thm)],[])).
% 51.21/33.82 tff(27539,plain,
% 51.21/33.82 ((m_processor_v_cmd(c_p2, s1, c_read_h_owned) | m_processor_v_cmd(c_p2, s1, c_read_h_shared) | (~m_processor_v_state(c_p2, s1, c_invalid)) | (~m_processor_v_master(c_p2, s1))) <=> ((~m_processor_v_master(c_p2, s1)) | m_processor_v_cmd(c_p2, s1, c_read_h_owned) | m_processor_v_cmd(c_p2, s1, c_read_h_shared) | (~m_processor_v_state(c_p2, s1, c_invalid)))),
% 51.21/33.82 inference(rewrite,[status(thm)],[])).
% 51.21/33.82 tff(27540,plain,
% 51.21/33.82 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p2, s1, c_read_h_owned) | m_processor_v_cmd(c_p2, s1, c_read_h_shared) | (~m_processor_v_state(c_p2, s1, c_invalid)) | (~m_processor_v_master(c_p2, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | ((~m_processor_v_master(c_p2, s1)) | m_processor_v_cmd(c_p2, s1, c_read_h_owned) | m_processor_v_cmd(c_p2, s1, c_read_h_shared) | (~m_processor_v_state(c_p2, s1, c_invalid))))),
% 51.21/33.82 inference(monotonicity,[status(thm)],[27539])).
% 51.21/33.82 tff(27541,plain,
% 51.21/33.82 (((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p2, s1, c_read_h_owned) | m_processor_v_cmd(c_p2, s1, c_read_h_shared) | (~m_processor_v_state(c_p2, s1, c_invalid)) | (~m_processor_v_master(c_p2, s1)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p2, s1)) | m_processor_v_cmd(c_p2, s1, c_read_h_owned) | m_processor_v_cmd(c_p2, s1, c_read_h_shared) | (~m_processor_v_state(c_p2, s1, c_invalid)))),
% 51.21/33.82 inference(transitivity,[status(thm)],[27540, 27538])).
% 51.21/33.82 tff(27542,plain,
% 51.21/33.82 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (m_processor_v_cmd(c_p2, s1, c_read_h_owned) | m_processor_v_cmd(c_p2, s1, c_read_h_shared) | (~m_processor_v_state(c_p2, s1, c_invalid)) | (~m_processor_v_master(c_p2, s1)))),
% 51.21/33.82 inference(quant_inst,[status(thm)],[])).
% 51.21/33.82 tff(27543,plain,
% 51.21/33.82 ((~![I0: $i, X: $i] : (m_processor_v_cmd(I0, X, c_read_h_owned) | m_processor_v_cmd(I0, X, c_read_h_shared) | (~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_master(I0, X)))) | (~m_processor_v_master(c_p2, s1)) | m_processor_v_cmd(c_p2, s1, c_read_h_owned) | m_processor_v_cmd(c_p2, s1, c_read_h_shared) | (~m_processor_v_state(c_p2, s1, c_invalid))),
% 51.21/33.82 inference(modus_ponens,[status(thm)],[27542, 27541])).
% 51.21/33.82 tff(27544,plain,
% 51.21/33.82 ($false),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[27543, 1835, 3670, 27436, 27532, 27537])).
% 51.21/33.82 tff(27545,plain,(m_processor_v_cmd(c_p2, s1, c_read_h_owned) | (~m_processor_v_master(c_p2, s1)) | (~m_processor_v_state(c_p2, s1, c_invalid)) | m_processor_v_cmd(c_p2, s1, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 51.21/33.82 tff(27546,plain,
% 51.21/33.82 ($false),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[27545, 27536, 27532, 3670, 27436])).
% 51.21/33.82 tff(27547,plain,(m_processor_v_cmd(c_p2, s1, c_read_h_owned) | (~m_processor_v_master(c_p2, s1)) | (~m_processor_v_state(c_p2, s1, c_invalid)) | (~m_processor_v_cmd(c_p2, s1, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.21/33.82 tff(27548,plain,
% 51.21/33.82 (m_processor_v_cmd(c_p2, s1, c_read_h_owned)),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[27547, 27531, 27436, 3670])).
% 51.21/33.82 tff(27549,plain,
% 51.21/33.82 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p2, s1, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p2, s1, c_read_h_owned)))),
% 51.21/33.82 inference(rewrite,[status(thm)],[])).
% 51.21/33.82 tff(27550,plain,
% 51.21/33.82 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p2, s1, c_read_h_owned)))),
% 51.21/33.82 inference(quant_inst,[status(thm)],[])).
% 51.21/33.82 tff(27551,plain,
% 51.21/33.82 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_cmd(c_p2, s1, c_read_h_owned))),
% 51.21/33.82 inference(modus_ponens,[status(thm)],[27550, 27549])).
% 51.21/33.82 tff(27552,plain,
% 51.21/33.82 ($false),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[27551, 3189, 27531, 27548])).
% 51.21/33.82 tff(27553,plain,((~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_state(c_p2, s1, c_invalid)) | (~m_processor_v_master(c_p2, s1))), inference(lemma,lemma(discharge,[]))).
% 51.21/33.82 tff(27554,plain,
% 51.21/33.82 ((~m_processor_v_cmd(c_p2, s1, c_idle)) | (~m_processor_v_master(c_p2, s1))),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[27553, 27455])).
% 51.21/33.82 tff(27555,plain,
% 51.21/33.82 (~m_processor_v_cmd(c_p2, s1, c_idle)),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[27554, 27521])).
% 51.21/33.82 tff(27556,plain,
% 51.21/33.82 (node12(s1)),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[3695, 27530, 27555])).
% 51.21/33.82 tff(27557,plain,
% 51.21/33.82 (m_main_v_CMD(s1, c_idle)),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[8288, 2128, 27556, 27530])).
% 51.21/33.82 tff(27558,plain,
% 51.21/33.82 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_shared)))) | ((~m_main_v_CMD(s1, c_idle)) | (~m_main_v_CMD(s1, c_write_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_shared)))) | (~m_main_v_CMD(s1, c_idle)) | (~m_main_v_CMD(s1, c_write_h_shared)))),
% 51.21/33.82 inference(rewrite,[status(thm)],[])).
% 51.21/33.82 tff(27559,plain,
% 51.21/33.82 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_shared)))) | ((~m_main_v_CMD(s1, c_idle)) | (~m_main_v_CMD(s1, c_write_h_shared)))),
% 51.21/33.82 inference(quant_inst,[status(thm)],[])).
% 51.21/33.82 tff(27560,plain,
% 51.21/33.82 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_shared)))) | (~m_main_v_CMD(s1, c_idle)) | (~m_main_v_CMD(s1, c_write_h_shared))),
% 51.21/33.82 inference(modus_ponens,[status(thm)],[27559, 27558])).
% 51.21/33.82 tff(27561,plain,
% 51.21/33.82 (~m_main_v_CMD(s1, c_write_h_shared)),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[27560, 27293, 27557])).
% 51.21/33.82 tff(27562,plain,
% 51.21/33.82 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s1, c_idle)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s1, c_idle)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)))),
% 51.21/33.82 inference(rewrite,[status(thm)],[])).
% 51.21/33.82 tff(27563,plain,
% 51.21/33.82 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | ((~m_main_v_CMD(s1, c_idle)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)))),
% 51.21/33.82 inference(quant_inst,[status(thm)],[])).
% 51.21/33.82 tff(27564,plain,
% 51.21/33.82 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_invalid)))) | (~m_main_v_CMD(s1, c_idle)) | (~m_main_v_CMD(s1, c_write_h_resp_h_invalid))),
% 51.21/33.82 inference(modus_ponens,[status(thm)],[27563, 27562])).
% 51.21/33.82 tff(27565,plain,
% 51.21/33.82 (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[27564, 7663, 27557])).
% 51.21/33.82 tff(27566,assumption,(m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_invalid)), introduced(assumption)).
% 51.21/33.82 tff(27567,assumption,(~node4(s1)), introduced(assumption)).
% 51.21/33.82 tff(27568,plain,
% 51.21/33.82 ((~![X: $i] : node4(X)) | node4(s1)),
% 51.21/33.82 inference(quant_inst,[status(thm)],[])).
% 51.21/33.82 tff(27569,plain,
% 51.21/33.82 ($false),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[27568, 21560, 27567])).
% 51.21/33.82 tff(27570,plain,(node4(s1)), inference(lemma,lemma(discharge,[]))).
% 51.21/33.82 tff(27571,plain,
% 51.21/33.82 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s1, c_write_h_resp_h_invalid) | (~node4(s1)) | (~m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | (~node4(s1)) | (~m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_invalid)))),
% 51.21/33.82 inference(rewrite,[status(thm)],[])).
% 51.21/33.82 tff(27572,plain,
% 51.21/33.82 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s1, c_write_h_resp_h_invalid) | (~node4(s1)) | (~m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_invalid)))),
% 51.21/33.82 inference(quant_inst,[status(thm)],[])).
% 51.21/33.82 tff(27573,plain,
% 51.21/33.82 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s1, c_write_h_resp_h_invalid) | (~node4(s1)) | (~m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_invalid))),
% 51.21/33.82 inference(modus_ponens,[status(thm)],[27572, 27571])).
% 51.21/33.82 tff(27574,plain,
% 51.21/33.82 ($false),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[27573, 21573, 27570, 20364, 27566])).
% 51.21/33.82 tff(27575,plain,((~m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_invalid)) | m_main_v_CMD(s1, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.21/33.82 tff(27576,plain,
% 51.21/33.82 (~m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_invalid)),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[27575, 27565])).
% 51.21/33.82 tff(27577,plain,
% 51.21/33.82 ($false),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[3389, 3386, 3205, 27526])).
% 51.21/33.82 tff(27578,plain,((~m_processor_v_master(c_p1, s1)) | (~node16(s1))), inference(lemma,lemma(discharge,[]))).
% 51.21/33.82 tff(27579,plain,
% 51.21/33.82 (~m_processor_v_master(c_p1, s1)),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[27578, 27525])).
% 51.21/33.82 tff(27580,plain,
% 51.21/33.82 (m_processor_v_cmd(c_p1, s1, c_idle)),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[3335, 27579])).
% 51.21/33.82 tff(27581,plain,
% 51.21/33.82 (~m_main_v_CMD(s1, c_read_h_shared)),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[8358, 27530, 27580])).
% 51.21/33.82 tff(27582,plain,
% 51.21/33.82 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s1, c_read_h_shared)) | (~node4(s1)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s1, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s1, c_read_h_shared)) | (~node4(s1)))),
% 51.21/33.82 inference(rewrite,[status(thm)],[])).
% 51.21/33.82 tff(27583,plain,
% 51.21/33.82 ((m_main_v_CMD(s1, c_read_h_shared) | (~node4(s1)) | (~m_processor_v_CMD(c_p2, s1, c_read_h_shared))) <=> (m_main_v_CMD(s1, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s1, c_read_h_shared)) | (~node4(s1)))),
% 51.21/33.82 inference(rewrite,[status(thm)],[])).
% 51.21/33.82 tff(27584,plain,
% 51.21/33.82 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~node4(s1)) | (~m_processor_v_CMD(c_p2, s1, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s1, c_read_h_shared)) | (~node4(s1))))),
% 51.21/33.82 inference(monotonicity,[status(thm)],[27583])).
% 51.21/33.82 tff(27585,plain,
% 51.21/33.82 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~node4(s1)) | (~m_processor_v_CMD(c_p2, s1, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s1, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s1, c_read_h_shared)) | (~node4(s1)))),
% 51.21/33.82 inference(transitivity,[status(thm)],[27584, 27582])).
% 51.21/33.82 tff(27586,plain,
% 51.21/33.82 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s1, c_read_h_shared) | (~node4(s1)) | (~m_processor_v_CMD(c_p2, s1, c_read_h_shared)))),
% 51.21/33.82 inference(quant_inst,[status(thm)],[])).
% 51.21/33.82 tff(27587,plain,
% 51.21/33.82 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s1, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s1, c_read_h_shared)) | (~node4(s1))),
% 51.21/33.82 inference(modus_ponens,[status(thm)],[27586, 27585])).
% 51.21/33.82 tff(27588,plain,
% 51.21/33.82 (~m_processor_v_CMD(c_p2, s1, c_read_h_shared)),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[27587, 21573, 27570, 27581])).
% 51.21/33.82 tff(27589,plain,
% 51.21/33.82 (~node17(s1)),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[3678, 27521])).
% 51.21/33.82 tff(27590,plain,
% 51.21/33.82 (~m_memory_v_master(c_m, s1)),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[3357, 27589])).
% 51.21/33.82 tff(27591,plain,
% 51.21/33.82 (~node29(c_m, s1)),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[3365, 27590])).
% 51.21/33.82 tff(27592,plain,
% 51.21/33.82 (m_memory_v_cmd(c_m, s1, c_idle)),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[3373, 27591])).
% 51.21/33.82 tff(27593,assumption,(m_main_v_CMD(s1, c_write_h_invalid)), introduced(assumption)).
% 51.21/33.82 tff(27594,plain,
% 51.21/33.82 ((~node8(s1)) | (~m_main_v_CMD(s1, c_write_h_invalid))),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[20681, 2191, 3634])).
% 51.21/33.82 tff(27595,plain,
% 51.21/33.82 (~node8(s1)),
% 51.21/33.82 inference(unit_resolution,[status(thm)],[27594, 27593])).
% 51.21/33.82 tff(27596,plain,
% 51.21/33.83 (~node12(s1)),
% 51.21/33.83 inference(unit_resolution,[status(thm)],[3651, 27593])).
% 51.21/33.83 tff(27597,plain,
% 51.21/33.83 (m_processor_v_cmd(c_p2, s1, c_idle)),
% 51.21/33.83 inference(unit_resolution,[status(thm)],[3695, 27596, 3375])).
% 51.21/33.83 tff(27598,plain,
% 51.21/33.83 ($false),
% 51.21/33.83 inference(unit_resolution,[status(thm)],[20323, 27597, 27595])).
% 51.21/33.83 tff(27599,plain,((~m_main_v_CMD(s1, c_write_h_invalid)) | (~m_processor_v_cmd(c_p1, s1, c_idle)) | (~m_memory_v_cmd(c_m, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.21/33.83 tff(27600,plain,
% 51.21/33.83 (~m_main_v_CMD(s1, c_write_h_invalid)),
% 51.21/33.83 inference(unit_resolution,[status(thm)],[27599, 27530, 27580, 27592])).
% 51.21/33.83 tff(27601,assumption,(m_processor_v_CMD(c_p2, s1, c_write_h_invalid)), introduced(assumption)).
% 51.21/33.83 tff(27602,plain,
% 51.21/33.83 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s1, c_write_h_invalid) | (~node4(s1)) | (~m_processor_v_CMD(c_p2, s1, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s1, c_write_h_invalid) | (~node4(s1)) | (~m_processor_v_CMD(c_p2, s1, c_write_h_invalid)))),
% 51.21/33.83 inference(rewrite,[status(thm)],[])).
% 51.21/33.83 tff(27603,plain,
% 51.21/33.83 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s1, c_write_h_invalid) | (~node4(s1)) | (~m_processor_v_CMD(c_p2, s1, c_write_h_invalid)))),
% 51.21/33.83 inference(quant_inst,[status(thm)],[])).
% 51.21/33.83 tff(27604,plain,
% 51.21/33.83 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s1, c_write_h_invalid) | (~node4(s1)) | (~m_processor_v_CMD(c_p2, s1, c_write_h_invalid))),
% 51.21/33.83 inference(modus_ponens,[status(thm)],[27603, 27602])).
% 51.21/33.83 tff(27605,plain,
% 51.21/33.83 ($false),
% 51.21/33.83 inference(unit_resolution,[status(thm)],[27604, 21573, 27570, 3567, 27601])).
% 51.21/33.83 tff(27606,plain,(m_main_v_CMD(s1, c_write_h_invalid) | (~m_processor_v_CMD(c_p2, s1, c_write_h_invalid))), inference(lemma,lemma(discharge,[]))).
% 51.21/33.83 tff(27607,plain,
% 51.21/33.83 (~m_processor_v_CMD(c_p2, s1, c_write_h_invalid)),
% 51.21/33.83 inference(unit_resolution,[status(thm)],[27606, 27600])).
% 51.21/33.83 tff(27608,plain,
% 51.21/33.83 (~m_main_v_CMD(s1, c_read_h_owned)),
% 51.21/33.83 inference(unit_resolution,[status(thm)],[20325, 27530, 27580, 27592])).
% 51.21/33.83 tff(27609,assumption,(m_processor_v_CMD(c_p2, s1, c_read_h_owned)), introduced(assumption)).
% 51.21/33.83 tff(27610,plain,
% 51.21/33.83 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s1, c_read_h_owned) | (~m_processor_v_CMD(c_p2, s1, c_read_h_owned)) | (~node4(s1)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s1, c_read_h_owned) | (~m_processor_v_CMD(c_p2, s1, c_read_h_owned)) | (~node4(s1)))),
% 51.21/33.83 inference(rewrite,[status(thm)],[])).
% 51.21/33.83 tff(27611,plain,
% 51.21/33.83 ((m_main_v_CMD(s1, c_read_h_owned) | (~node4(s1)) | (~m_processor_v_CMD(c_p2, s1, c_read_h_owned))) <=> (m_main_v_CMD(s1, c_read_h_owned) | (~m_processor_v_CMD(c_p2, s1, c_read_h_owned)) | (~node4(s1)))),
% 51.21/33.83 inference(rewrite,[status(thm)],[])).
% 51.21/33.83 tff(27612,plain,
% 51.21/33.83 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s1, c_read_h_owned) | (~node4(s1)) | (~m_processor_v_CMD(c_p2, s1, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s1, c_read_h_owned) | (~m_processor_v_CMD(c_p2, s1, c_read_h_owned)) | (~node4(s1))))),
% 51.21/33.83 inference(monotonicity,[status(thm)],[27611])).
% 51.21/33.83 tff(27613,plain,
% 51.21/33.83 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s1, c_read_h_owned) | (~node4(s1)) | (~m_processor_v_CMD(c_p2, s1, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s1, c_read_h_owned) | (~m_processor_v_CMD(c_p2, s1, c_read_h_owned)) | (~node4(s1)))),
% 51.21/33.83 inference(transitivity,[status(thm)],[27612, 27610])).
% 51.21/33.83 tff(27614,plain,
% 51.21/33.83 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s1, c_read_h_owned) | (~node4(s1)) | (~m_processor_v_CMD(c_p2, s1, c_read_h_owned)))),
% 51.21/33.83 inference(quant_inst,[status(thm)],[])).
% 51.21/33.83 tff(27615,plain,
% 51.21/33.83 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s1, c_read_h_owned) | (~m_processor_v_CMD(c_p2, s1, c_read_h_owned)) | (~node4(s1))),
% 51.21/33.83 inference(modus_ponens,[status(thm)],[27614, 27613])).
% 51.21/33.83 tff(27616,plain,
% 51.21/33.83 ($false),
% 51.21/33.83 inference(unit_resolution,[status(thm)],[27615, 21573, 27570, 3376, 27609])).
% 51.21/33.83 tff(27617,plain,((~m_processor_v_CMD(c_p2, s1, c_read_h_owned)) | m_main_v_CMD(s1, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 51.21/33.83 tff(27618,plain,
% 51.21/33.83 (~m_processor_v_CMD(c_p2, s1, c_read_h_owned)),
% 51.21/33.83 inference(unit_resolution,[status(thm)],[27617, 27608])).
% 51.21/33.83 tff(27619,plain,
% 51.21/33.83 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s1, c_idle)) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s1, c_idle)) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared)))),
% 51.21/33.83 inference(rewrite,[status(thm)],[])).
% 51.21/33.83 tff(27620,plain,
% 51.21/33.83 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | ((~m_main_v_CMD(s1, c_idle)) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared)))),
% 51.21/33.83 inference(quant_inst,[status(thm)],[])).
% 51.21/33.83 tff(27621,plain,
% 51.21/33.83 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_resp_h_shared)))) | (~m_main_v_CMD(s1, c_idle)) | (~m_main_v_CMD(s1, c_write_h_resp_h_shared))),
% 51.21/33.83 inference(modus_ponens,[status(thm)],[27620, 27619])).
% 51.21/33.83 tff(27622,plain,
% 51.21/33.83 (~m_main_v_CMD(s1, c_write_h_resp_h_shared)),
% 51.21/33.83 inference(unit_resolution,[status(thm)],[27621, 7650, 27557])).
% 51.21/33.83 tff(27623,plain,
% 51.21/33.83 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s1, c_write_h_resp_h_shared) | (~node4(s1)) | (~m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s1, c_write_h_resp_h_shared) | (~node4(s1)) | (~m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_shared)))),
% 51.21/33.83 inference(rewrite,[status(thm)],[])).
% 51.21/33.83 tff(27624,plain,
% 51.21/33.83 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s1, c_write_h_resp_h_shared) | (~node4(s1)) | (~m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_shared)))),
% 51.21/33.83 inference(quant_inst,[status(thm)],[])).
% 51.21/33.83 tff(27625,plain,
% 51.21/33.83 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s1, c_write_h_resp_h_shared) | (~node4(s1)) | (~m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_shared))),
% 51.21/33.83 inference(modus_ponens,[status(thm)],[27624, 27623])).
% 51.21/33.83 tff(27626,plain,
% 51.21/33.83 (~m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_shared)),
% 51.21/33.83 inference(unit_resolution,[status(thm)],[27625, 21573, 27570, 27622])).
% 51.21/33.83 tff(27627,plain,
% 51.21/33.83 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p2, s1, c_owned) | (~m_processor_v_state(c_p2, s2, c_owned)) | (~node33(c_p2, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p2, s1, c_owned) | (~m_processor_v_state(c_p2, s2, c_owned)) | (~node33(c_p2, s1, s2)))),
% 51.21/33.83 inference(rewrite,[status(thm)],[])).
% 51.21/33.83 tff(27628,plain,
% 51.21/33.83 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p2, s1, c_owned) | (~m_processor_v_state(c_p2, s2, c_owned)) | (~node33(c_p2, s1, s2)))),
% 51.21/33.83 inference(quant_inst,[status(thm)],[])).
% 51.21/33.83 tff(27629,plain,
% 51.21/33.83 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p2, s1, c_owned) | (~m_processor_v_state(c_p2, s2, c_owned)) | (~node33(c_p2, s1, s2))),
% 51.21/33.83 inference(modus_ponens,[status(thm)],[27628, 27627])).
% 51.21/33.83 tff(27630,plain,
% 51.21/33.83 (~node33(c_p2, s1, s2)),
% 51.21/33.83 inference(unit_resolution,[status(thm)],[27629, 830, 27380, 27210])).
% 51.21/33.83 tff(27631,plain,
% 51.21/33.83 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s1, c_write_h_shared) | (~node4(s1)) | (~m_processor_v_CMD(c_p2, s1, c_write_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s1, c_write_h_shared) | (~node4(s1)) | (~m_processor_v_CMD(c_p2, s1, c_write_h_shared)))),
% 51.21/33.83 inference(rewrite,[status(thm)],[])).
% 51.21/33.83 tff(27632,plain,
% 51.21/33.83 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s1, c_write_h_shared) | (~node4(s1)) | (~m_processor_v_CMD(c_p2, s1, c_write_h_shared)))),
% 51.21/33.83 inference(quant_inst,[status(thm)],[])).
% 51.21/33.83 tff(27633,plain,
% 51.21/33.83 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s1, c_write_h_shared) | (~node4(s1)) | (~m_processor_v_CMD(c_p2, s1, c_write_h_shared))),
% 51.21/33.83 inference(modus_ponens,[status(thm)],[27632, 27631])).
% 51.21/33.83 tff(27634,plain,
% 51.21/33.83 (~m_processor_v_CMD(c_p2, s1, c_write_h_shared)),
% 51.21/33.83 inference(unit_resolution,[status(thm)],[27633, 21573, 27570, 20650])).
% 51.21/33.83 tff(27635,assumption,(node34(c_p2, s1, s2)), introduced(assumption)).
% 51.21/33.83 tff(27636,assumption,(~m_processor_v_CMD(c_p2, s1, c_write_h_invalid)), introduced(assumption)).
% 51.21/33.83 tff(27637,assumption,(~m_processor_v_CMD(c_p2, s1, c_read_h_shared)), introduced(assumption)).
% 51.21/33.83 tff(27638,assumption,(~m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_invalid)), introduced(assumption)).
% 51.21/33.83 tff(27639,assumption,(~m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_shared)), introduced(assumption)).
% 51.21/33.83 tff(27640,assumption,(~m_processor_v_CMD(c_p2, s1, c_read_h_owned)), introduced(assumption)).
% 51.21/33.83 tff(27641,plain,
% 51.21/33.83 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p2, s1, c_write_h_invalid) | m_processor_v_CMD(c_p2, s1, c_read_h_owned) | m_processor_v_CMD(c_p2, s1, c_read_h_shared) | m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s1, c_write_h_shared) | m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_shared) | node33(c_p2, s1, s2) | (~node34(c_p2, s1, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p2, s1, c_write_h_invalid) | m_processor_v_CMD(c_p2, s1, c_read_h_owned) | m_processor_v_CMD(c_p2, s1, c_read_h_shared) | m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s1, c_write_h_shared) | m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_shared) | node33(c_p2, s1, s2) | (~node34(c_p2, s1, s2)))),
% 51.21/33.83 inference(rewrite,[status(thm)],[])).
% 51.21/33.83 tff(27642,plain,
% 51.21/33.83 ((node33(c_p2, s1, s2) | (~node34(c_p2, s1, s2)) | m_processor_v_CMD(c_p2, s1, c_read_h_shared) | m_processor_v_CMD(c_p2, s1, c_read_h_owned) | m_processor_v_CMD(c_p2, s1, c_write_h_invalid) | m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s1, c_write_h_shared) | m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p2, s1, c_write_h_invalid) | m_processor_v_CMD(c_p2, s1, c_read_h_owned) | m_processor_v_CMD(c_p2, s1, c_read_h_shared) | m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s1, c_write_h_shared) | m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_shared) | node33(c_p2, s1, s2) | (~node34(c_p2, s1, s2)))),
% 51.22/33.83 inference(rewrite,[status(thm)],[])).
% 51.22/33.83 tff(27643,plain,
% 51.22/33.83 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p2, s1, s2) | (~node34(c_p2, s1, s2)) | m_processor_v_CMD(c_p2, s1, c_read_h_shared) | m_processor_v_CMD(c_p2, s1, c_read_h_owned) | m_processor_v_CMD(c_p2, s1, c_write_h_invalid) | m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s1, c_write_h_shared) | m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p2, s1, c_write_h_invalid) | m_processor_v_CMD(c_p2, s1, c_read_h_owned) | m_processor_v_CMD(c_p2, s1, c_read_h_shared) | m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s1, c_write_h_shared) | m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_shared) | node33(c_p2, s1, s2) | (~node34(c_p2, s1, s2))))),
% 51.22/33.83 inference(monotonicity,[status(thm)],[27642])).
% 51.22/33.83 tff(27644,plain,
% 51.22/33.83 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p2, s1, s2) | (~node34(c_p2, s1, s2)) | m_processor_v_CMD(c_p2, s1, c_read_h_shared) | m_processor_v_CMD(c_p2, s1, c_read_h_owned) | m_processor_v_CMD(c_p2, s1, c_write_h_invalid) | m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s1, c_write_h_shared) | m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p2, s1, c_write_h_invalid) | m_processor_v_CMD(c_p2, s1, c_read_h_owned) | m_processor_v_CMD(c_p2, s1, c_read_h_shared) | m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s1, c_write_h_shared) | m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_shared) | node33(c_p2, s1, s2) | (~node34(c_p2, s1, s2)))),
% 51.22/33.83 inference(transitivity,[status(thm)],[27643, 27641])).
% 51.22/33.83 tff(27645,plain,
% 51.22/33.83 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p2, s1, s2) | (~node34(c_p2, s1, s2)) | m_processor_v_CMD(c_p2, s1, c_read_h_shared) | m_processor_v_CMD(c_p2, s1, c_read_h_owned) | m_processor_v_CMD(c_p2, s1, c_write_h_invalid) | m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s1, c_write_h_shared) | m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_shared))),
% 51.22/33.83 inference(quant_inst,[status(thm)],[])).
% 51.22/33.83 tff(27646,plain,
% 51.22/33.83 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p2, s1, c_write_h_invalid) | m_processor_v_CMD(c_p2, s1, c_read_h_owned) | m_processor_v_CMD(c_p2, s1, c_read_h_shared) | m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s1, c_write_h_shared) | m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_shared) | node33(c_p2, s1, s2) | (~node34(c_p2, s1, s2))),
% 51.22/33.83 inference(modus_ponens,[status(thm)],[27645, 27644])).
% 51.22/33.83 tff(27647,plain,
% 51.22/33.83 ($false),
% 51.22/33.83 inference(unit_resolution,[status(thm)],[27646, 474, 27640, 27639, 27638, 27637, 27636, 27635, 27634, 27630])).
% 51.22/33.83 tff(27648,plain,((~node34(c_p2, s1, s2)) | m_processor_v_CMD(c_p2, s1, c_read_h_owned) | m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s1, c_read_h_shared) | m_processor_v_CMD(c_p2, s1, c_write_h_invalid) | m_processor_v_state(c_p2, s1, c_owned) | (~m_processor_v_state(c_p2, s2, c_owned)) | m_main_v_CMD(s1, c_write_h_shared)), inference(lemma,lemma(discharge,[]))).
% 51.22/33.83 tff(27649,plain,
% 51.22/33.83 ((~node34(c_p2, s1, s2)) | m_processor_v_CMD(c_p2, s1, c_read_h_owned) | m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s1, c_read_h_shared) | m_processor_v_CMD(c_p2, s1, c_write_h_invalid) | (~m_processor_v_state(c_p2, s2, c_owned)) | m_main_v_CMD(s1, c_write_h_shared)),
% 51.22/33.83 inference(unit_resolution,[status(thm)],[27648, 27456])).
% 51.22/33.83 tff(27650,plain,
% 51.22/33.83 (~node34(c_p2, s1, s2)),
% 51.22/33.83 inference(unit_resolution,[status(thm)],[27649, 27626, 27210, 27618, 27607, 27588, 27576, 27561])).
% 51.22/33.83 tff(27651,assumption,(~node34(c_p2, s1, s2)), introduced(assumption)).
% 51.22/33.83 tff(27652,plain,
% 51.22/33.83 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p2, s1)) | m_processor_v_abort(c_p2, s1) | (~node38(c_p2, s1, s2)) | node34(c_p2, s1, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p2, s1)) | m_processor_v_abort(c_p2, s1) | (~node38(c_p2, s1, s2)) | node34(c_p2, s1, s2))),
% 51.22/33.83 inference(rewrite,[status(thm)],[])).
% 51.22/33.83 tff(27653,plain,
% 51.22/33.83 ((node34(c_p2, s1, s2) | (~m_processor_v_master(c_p2, s1)) | (~node38(c_p2, s1, s2)) | m_processor_v_abort(c_p2, s1)) <=> ((~m_processor_v_master(c_p2, s1)) | m_processor_v_abort(c_p2, s1) | (~node38(c_p2, s1, s2)) | node34(c_p2, s1, s2))),
% 51.22/33.83 inference(rewrite,[status(thm)],[])).
% 51.22/33.83 tff(27654,plain,
% 51.22/33.83 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p2, s1, s2) | (~m_processor_v_master(c_p2, s1)) | (~node38(c_p2, s1, s2)) | m_processor_v_abort(c_p2, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p2, s1)) | m_processor_v_abort(c_p2, s1) | (~node38(c_p2, s1, s2)) | node34(c_p2, s1, s2)))),
% 51.22/33.83 inference(monotonicity,[status(thm)],[27653])).
% 51.22/33.83 tff(27655,plain,
% 51.22/33.83 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p2, s1, s2) | (~m_processor_v_master(c_p2, s1)) | (~node38(c_p2, s1, s2)) | m_processor_v_abort(c_p2, s1))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p2, s1)) | m_processor_v_abort(c_p2, s1) | (~node38(c_p2, s1, s2)) | node34(c_p2, s1, s2))),
% 51.22/33.83 inference(transitivity,[status(thm)],[27654, 27652])).
% 51.22/33.83 tff(27656,plain,
% 51.22/33.83 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p2, s1, s2) | (~m_processor_v_master(c_p2, s1)) | (~node38(c_p2, s1, s2)) | m_processor_v_abort(c_p2, s1))),
% 51.22/33.83 inference(quant_inst,[status(thm)],[])).
% 51.22/33.83 tff(27657,plain,
% 51.22/33.83 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p2, s1)) | m_processor_v_abort(c_p2, s1) | (~node38(c_p2, s1, s2)) | node34(c_p2, s1, s2)),
% 51.22/33.83 inference(modus_ponens,[status(thm)],[27656, 27655])).
% 51.22/33.83 tff(27658,plain,
% 51.22/33.83 ($false),
% 51.22/33.83 inference(unit_resolution,[status(thm)],[27657, 283, 3670, 27482, 27466, 27651])).
% 51.22/33.83 tff(27659,plain,(node34(c_p2, s1, s2) | (~m_processor_v_master(c_p2, s1)) | m_processor_v_abort(c_p2, s1)), inference(lemma,lemma(discharge,[]))).
% 51.22/33.83 tff(27660,plain,
% 51.22/33.83 (m_processor_v_abort(c_p2, s1)),
% 51.22/33.83 inference(unit_resolution,[status(thm)],[27659, 27650, 27521])).
% 51.22/33.83 tff(27661,plain,
% 51.22/33.83 (node32(c_p2, s1, s2)),
% 51.22/33.83 inference(unit_resolution,[status(thm)],[27502, 27660])).
% 51.22/33.83 tff(27662,plain,
% 51.22/33.83 (m_processor_v_state(c_p2, s2, c_invalid)),
% 51.22/33.83 inference(unit_resolution,[status(thm)],[27514, 27661])).
% 51.22/33.83 tff(27663,plain,
% 51.22/33.83 ($false),
% 51.22/33.83 inference(unit_resolution,[status(thm)],[27518, 137, 27210, 27662])).
% 51.22/33.83 tff(27664,plain,(~m_processor_v_state(c_p2, s2, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.22/33.83 tff(27665,assumption,(m_processor_v_state(c_p2, s3, c_owned)), introduced(assumption)).
% 51.22/33.83 tff(27666,plain,
% 51.22/33.83 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p2, s3, c_owned)) | (~m_processor_v_state(c_p2, s3, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p2, s3, c_owned)) | (~m_processor_v_state(c_p2, s3, c_shared)))),
% 51.22/33.83 inference(rewrite,[status(thm)],[])).
% 51.22/33.83 tff(27667,plain,
% 51.22/33.83 (((~m_processor_v_state(c_p2, s3, c_shared)) | (~m_processor_v_state(c_p2, s3, c_owned))) <=> ((~m_processor_v_state(c_p2, s3, c_owned)) | (~m_processor_v_state(c_p2, s3, c_shared)))),
% 51.22/33.83 inference(rewrite,[status(thm)],[])).
% 51.22/33.83 tff(27668,plain,
% 51.22/33.83 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p2, s3, c_shared)) | (~m_processor_v_state(c_p2, s3, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p2, s3, c_owned)) | (~m_processor_v_state(c_p2, s3, c_shared))))),
% 51.22/33.83 inference(monotonicity,[status(thm)],[27667])).
% 51.22/33.83 tff(27669,plain,
% 51.22/33.83 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p2, s3, c_shared)) | (~m_processor_v_state(c_p2, s3, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p2, s3, c_owned)) | (~m_processor_v_state(c_p2, s3, c_shared)))),
% 51.22/33.83 inference(transitivity,[status(thm)],[27668, 27666])).
% 51.22/33.83 tff(27670,plain,
% 51.22/33.83 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p2, s3, c_shared)) | (~m_processor_v_state(c_p2, s3, c_owned)))),
% 51.22/33.83 inference(quant_inst,[status(thm)],[])).
% 51.22/33.83 tff(27671,plain,
% 51.22/33.83 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p2, s3, c_owned)) | (~m_processor_v_state(c_p2, s3, c_shared))),
% 51.22/33.83 inference(modus_ponens,[status(thm)],[27670, 27669])).
% 51.22/33.83 tff(27672,plain,
% 51.22/33.83 (~m_processor_v_state(c_p2, s3, c_shared)),
% 51.22/33.83 inference(unit_resolution,[status(thm)],[27671, 121, 27665])).
% 51.22/33.83 tff(27673,assumption,(m_processor_v_state(c_p2, s2, c_shared)), introduced(assumption)).
% 51.22/33.83 tff(27674,plain,
% 51.22/33.83 (node37(c_p2, s1, s2)),
% 51.22/33.83 inference(unit_resolution,[status(thm)],[27490, 27362, 3399, 27466])).
% 51.22/33.83 tff(27675,plain,
% 51.22/33.83 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p2, s1, c_shared) | (~m_processor_v_state(c_p2, s2, c_shared)) | (~node37(c_p2, s1, s2)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p2, s1, c_shared) | (~m_processor_v_state(c_p2, s2, c_shared)) | (~node37(c_p2, s1, s2)))),
% 51.22/33.84 inference(rewrite,[status(thm)],[])).
% 51.22/33.84 tff(27676,plain,
% 51.22/33.84 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p2, s1, c_shared) | (~m_processor_v_state(c_p2, s2, c_shared)) | (~node37(c_p2, s1, s2)))),
% 51.22/33.84 inference(quant_inst,[status(thm)],[])).
% 51.22/33.84 tff(27677,plain,
% 51.22/33.84 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p2, s1, c_shared) | (~m_processor_v_state(c_p2, s2, c_shared)) | (~node37(c_p2, s1, s2))),
% 51.22/33.84 inference(modus_ponens,[status(thm)],[27676, 27675])).
% 51.22/33.84 tff(27678,plain,
% 51.22/33.84 ($false),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27677, 182, 27362, 27457, 27673])).
% 51.22/33.84 tff(27679,plain,((~m_processor_v_state(c_p2, s2, c_shared)) | m_processor_v_state(c_p2, s1, c_shared) | (~node37(c_p2, s1, s2))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.84 tff(27680,plain,
% 51.22/33.84 ($false),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27679, 27674, 27362, 27673])).
% 51.22/33.84 tff(27681,plain,(m_processor_v_state(c_p2, s1, c_shared) | (~m_processor_v_state(c_p2, s2, c_shared)) | m_processor_v_master(c_p2, s1) | m_processor_v_abort(c_p2, s1)), inference(lemma,lemma(discharge,[]))).
% 51.22/33.84 tff(27682,plain,
% 51.22/33.84 ((~m_processor_v_state(c_p2, s2, c_shared)) | m_processor_v_master(c_p2, s1) | m_processor_v_abort(c_p2, s1)),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27681, 27361])).
% 51.22/33.84 tff(27683,plain,
% 51.22/33.84 (m_processor_v_abort(c_p2, s1)),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27682, 27673, 3399])).
% 51.22/33.84 tff(27684,plain,
% 51.22/33.84 (node32(c_p2, s1, s2)),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27502, 27683])).
% 51.22/33.84 tff(27685,plain,
% 51.22/33.84 (m_processor_v_state(c_p2, s2, c_invalid)),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27513, 27684, 27436])).
% 51.22/33.84 tff(27686,plain,
% 51.22/33.84 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p2, s2, c_invalid)) | (~m_processor_v_state(c_p2, s2, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p2, s2, c_invalid)) | (~m_processor_v_state(c_p2, s2, c_shared)))),
% 51.22/33.84 inference(rewrite,[status(thm)],[])).
% 51.22/33.84 tff(27687,plain,
% 51.22/33.84 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p2, s2, c_invalid)) | (~m_processor_v_state(c_p2, s2, c_shared)))),
% 51.22/33.84 inference(quant_inst,[status(thm)],[])).
% 51.22/33.84 tff(27688,plain,
% 51.22/33.84 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p2, s2, c_invalid)) | (~m_processor_v_state(c_p2, s2, c_shared))),
% 51.22/33.84 inference(modus_ponens,[status(thm)],[27687, 27686])).
% 51.22/33.84 tff(27689,plain,
% 51.22/33.84 ($false),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27688, 977, 27673, 27685])).
% 51.22/33.84 tff(27690,plain,((~m_processor_v_state(c_p2, s2, c_shared)) | (~m_processor_v_state(c_p2, s1, c_invalid)) | m_processor_v_master(c_p2, s1)), inference(lemma,lemma(discharge,[]))).
% 51.22/33.84 tff(27691,plain,
% 51.22/33.84 ((~m_processor_v_state(c_p2, s2, c_shared)) | m_processor_v_master(c_p2, s1)),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27690, 27455])).
% 51.22/33.84 tff(27692,plain,
% 51.22/33.84 (~m_processor_v_state(c_p2, s2, c_shared)),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27691, 3399])).
% 51.22/33.84 tff(27693,plain,
% 51.22/33.84 (~m_processor_v_state(c_p2, s2, c_owned)),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27520, 3399])).
% 51.22/33.84 tff(27694,assumption,(~m_processor_v_state(c_p2, s2, c_owned)), introduced(assumption)).
% 51.22/33.84 tff(27695,assumption,(node32(c_p2, s2, s3)), introduced(assumption)).
% 51.22/33.84 tff(27696,plain,
% 51.22/33.84 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p2, s2, c_owned) | (~m_processor_v_state(c_p2, s3, c_owned)) | (~node32(c_p2, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p2, s2, c_owned) | (~m_processor_v_state(c_p2, s3, c_owned)) | (~node32(c_p2, s2, s3)))),
% 51.22/33.84 inference(rewrite,[status(thm)],[])).
% 51.22/33.84 tff(27697,plain,
% 51.22/33.84 (((~node32(c_p2, s2, s3)) | m_processor_v_state(c_p2, s2, c_owned) | (~m_processor_v_state(c_p2, s3, c_owned))) <=> (m_processor_v_state(c_p2, s2, c_owned) | (~m_processor_v_state(c_p2, s3, c_owned)) | (~node32(c_p2, s2, s3)))),
% 51.22/33.84 inference(rewrite,[status(thm)],[])).
% 51.22/33.84 tff(27698,plain,
% 51.22/33.84 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p2, s2, s3)) | m_processor_v_state(c_p2, s2, c_owned) | (~m_processor_v_state(c_p2, s3, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p2, s2, c_owned) | (~m_processor_v_state(c_p2, s3, c_owned)) | (~node32(c_p2, s2, s3))))),
% 51.22/33.84 inference(monotonicity,[status(thm)],[27697])).
% 51.22/33.84 tff(27699,plain,
% 51.22/33.84 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p2, s2, s3)) | m_processor_v_state(c_p2, s2, c_owned) | (~m_processor_v_state(c_p2, s3, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p2, s2, c_owned) | (~m_processor_v_state(c_p2, s3, c_owned)) | (~node32(c_p2, s2, s3)))),
% 51.22/33.84 inference(transitivity,[status(thm)],[27698, 27696])).
% 51.22/33.84 tff(27700,plain,
% 51.22/33.84 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p2, s2, s3)) | m_processor_v_state(c_p2, s2, c_owned) | (~m_processor_v_state(c_p2, s3, c_owned)))),
% 51.22/33.84 inference(quant_inst,[status(thm)],[])).
% 51.22/33.84 tff(27701,plain,
% 51.22/33.84 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p2, s2, c_owned) | (~m_processor_v_state(c_p2, s3, c_owned)) | (~node32(c_p2, s2, s3))),
% 51.22/33.84 inference(modus_ponens,[status(thm)],[27700, 27699])).
% 51.22/33.84 tff(27702,plain,
% 51.22/33.84 ($false),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27701, 261, 27694, 27665, 27695])).
% 51.22/33.84 tff(27703,plain,((~node32(c_p2, s2, s3)) | m_processor_v_state(c_p2, s2, c_owned) | (~m_processor_v_state(c_p2, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.84 tff(27704,plain,
% 51.22/33.84 (~node32(c_p2, s2, s3)),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27703, 27694, 27665])).
% 51.22/33.84 tff(27705,assumption,(~m_processor_v_state(c_p2, s2, c_shared)), introduced(assumption)).
% 51.22/33.84 tff(27706,assumption,(node36(c_p2, s2)), introduced(assumption)).
% 51.22/33.84 tff(27707,plain,
% 51.22/33.84 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p2, s2, c_shared) | (~node36(c_p2, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p2, s2, c_shared) | (~node36(c_p2, s2)))),
% 51.22/33.84 inference(rewrite,[status(thm)],[])).
% 51.22/33.84 tff(27708,plain,
% 51.22/33.84 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p2, s2, c_shared) | (~node36(c_p2, s2)))),
% 51.22/33.84 inference(quant_inst,[status(thm)],[])).
% 51.22/33.84 tff(27709,plain,
% 51.22/33.84 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p2, s2, c_shared) | (~node36(c_p2, s2))),
% 51.22/33.84 inference(modus_ponens,[status(thm)],[27708, 27707])).
% 51.22/33.84 tff(27710,plain,
% 51.22/33.84 ($false),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27709, 167, 27705, 27706])).
% 51.22/33.84 tff(27711,plain,((~node36(c_p2, s2)) | m_processor_v_state(c_p2, s2, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.22/33.84 tff(27712,plain,
% 51.22/33.84 (~node36(c_p2, s2)),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27711, 27705])).
% 51.22/33.84 tff(27713,assumption,(m_processor_v_state(c_p2, s3, c_invalid)), introduced(assumption)).
% 51.22/33.84 tff(27714,plain,
% 51.22/33.84 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p2, s3, c_invalid)) | (~m_processor_v_state(c_p2, s3, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p2, s3, c_invalid)) | (~m_processor_v_state(c_p2, s3, c_owned)))),
% 51.22/33.84 inference(rewrite,[status(thm)],[])).
% 51.22/33.84 tff(27715,plain,
% 51.22/33.84 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p2, s3, c_invalid)) | (~m_processor_v_state(c_p2, s3, c_owned)))),
% 51.22/33.84 inference(quant_inst,[status(thm)],[])).
% 51.22/33.84 tff(27716,plain,
% 51.22/33.84 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p2, s3, c_invalid)) | (~m_processor_v_state(c_p2, s3, c_owned))),
% 51.22/33.84 inference(modus_ponens,[status(thm)],[27715, 27714])).
% 51.22/33.84 tff(27717,plain,
% 51.22/33.84 ($false),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27716, 137, 27665, 27713])).
% 51.22/33.84 tff(27718,plain,((~m_processor_v_state(c_p2, s3, c_owned)) | (~m_processor_v_state(c_p2, s3, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.84 tff(27719,plain,
% 51.22/33.84 (~m_processor_v_state(c_p2, s3, c_invalid)),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27718, 27665])).
% 51.22/33.84 tff(27720,assumption,(~m_processor_v_state(c_p2, s3, c_invalid)), introduced(assumption)).
% 51.22/33.84 tff(27721,assumption,(~node36(c_p2, s2)), introduced(assumption)).
% 51.22/33.84 tff(27722,assumption,(~m_processor_v_abort(c_p2, s2)), introduced(assumption)).
% 51.22/33.84 tff(27723,plain,
% 51.22/33.84 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s2, s3)) | node38(c_p2, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s2, s3)) | node38(c_p2, s2, s3))),
% 51.22/33.84 inference(rewrite,[status(thm)],[])).
% 51.22/33.84 tff(27724,plain,
% 51.22/33.84 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s2, s3)) | node38(c_p2, s2, s3))),
% 51.22/33.84 inference(quant_inst,[status(thm)],[])).
% 51.22/33.84 tff(27725,plain,
% 51.22/33.84 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s2, s3)) | node38(c_p2, s2, s3)),
% 51.22/33.84 inference(modus_ponens,[status(thm)],[27724, 27723])).
% 51.22/33.84 tff(27726,plain,
% 51.22/33.84 (node38(c_p2, s2, s3)),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27725, 210, 2684])).
% 51.22/33.84 tff(27727,plain,
% 51.22/33.84 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p2, s2) | m_processor_v_state(c_p2, s2, c_shared) | (~node38(c_p2, s2, s3)) | node36(c_p2, s2) | node37(c_p2, s2, s3) | m_processor_v_abort(c_p2, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p2, s2) | m_processor_v_state(c_p2, s2, c_shared) | (~node38(c_p2, s2, s3)) | node36(c_p2, s2) | node37(c_p2, s2, s3) | m_processor_v_abort(c_p2, s2))),
% 51.22/33.84 inference(rewrite,[status(thm)],[])).
% 51.22/33.84 tff(27728,plain,
% 51.22/33.84 ((m_processor_v_state(c_p2, s2, c_shared) | node36(c_p2, s2) | m_processor_v_master(c_p2, s2) | node37(c_p2, s2, s3) | (~node38(c_p2, s2, s3)) | m_processor_v_abort(c_p2, s2)) <=> (m_processor_v_master(c_p2, s2) | m_processor_v_state(c_p2, s2, c_shared) | (~node38(c_p2, s2, s3)) | node36(c_p2, s2) | node37(c_p2, s2, s3) | m_processor_v_abort(c_p2, s2))),
% 51.22/33.84 inference(rewrite,[status(thm)],[])).
% 51.22/33.84 tff(27729,plain,
% 51.22/33.84 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p2, s2, c_shared) | node36(c_p2, s2) | m_processor_v_master(c_p2, s2) | node37(c_p2, s2, s3) | (~node38(c_p2, s2, s3)) | m_processor_v_abort(c_p2, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p2, s2) | m_processor_v_state(c_p2, s2, c_shared) | (~node38(c_p2, s2, s3)) | node36(c_p2, s2) | node37(c_p2, s2, s3) | m_processor_v_abort(c_p2, s2)))),
% 51.22/33.84 inference(monotonicity,[status(thm)],[27728])).
% 51.22/33.84 tff(27730,plain,
% 51.22/33.84 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p2, s2, c_shared) | node36(c_p2, s2) | m_processor_v_master(c_p2, s2) | node37(c_p2, s2, s3) | (~node38(c_p2, s2, s3)) | m_processor_v_abort(c_p2, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p2, s2) | m_processor_v_state(c_p2, s2, c_shared) | (~node38(c_p2, s2, s3)) | node36(c_p2, s2) | node37(c_p2, s2, s3) | m_processor_v_abort(c_p2, s2))),
% 51.22/33.84 inference(transitivity,[status(thm)],[27729, 27727])).
% 51.22/33.84 tff(27731,plain,
% 51.22/33.84 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p2, s2, c_shared) | node36(c_p2, s2) | m_processor_v_master(c_p2, s2) | node37(c_p2, s2, s3) | (~node38(c_p2, s2, s3)) | m_processor_v_abort(c_p2, s2))),
% 51.22/33.84 inference(quant_inst,[status(thm)],[])).
% 51.22/33.84 tff(27732,plain,
% 51.22/33.84 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p2, s2) | m_processor_v_state(c_p2, s2, c_shared) | (~node38(c_p2, s2, s3)) | node36(c_p2, s2) | node37(c_p2, s2, s3) | m_processor_v_abort(c_p2, s2)),
% 51.22/33.84 inference(modus_ponens,[status(thm)],[27731, 27730])).
% 51.22/33.84 tff(27733,plain,
% 51.22/33.84 (m_processor_v_master(c_p2, s2) | m_processor_v_state(c_p2, s2, c_shared) | node36(c_p2, s2) | node37(c_p2, s2, s3) | m_processor_v_abort(c_p2, s2)),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27732, 225, 27726])).
% 51.22/33.84 tff(27734,plain,
% 51.22/33.84 (node37(c_p2, s2, s3)),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27733, 27705, 5209, 27721, 27722])).
% 51.22/33.84 tff(27735,assumption,(m_processor_v_state(c_p2, s3, c_shared)), introduced(assumption)).
% 51.22/33.84 tff(27736,plain,
% 51.22/33.84 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p2, s2, c_shared) | (~m_processor_v_state(c_p2, s3, c_shared)) | (~node37(c_p2, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p2, s2, c_shared) | (~m_processor_v_state(c_p2, s3, c_shared)) | (~node37(c_p2, s2, s3)))),
% 51.22/33.84 inference(rewrite,[status(thm)],[])).
% 51.22/33.84 tff(27737,plain,
% 51.22/33.84 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p2, s2, c_shared) | (~m_processor_v_state(c_p2, s3, c_shared)) | (~node37(c_p2, s2, s3)))),
% 51.22/33.84 inference(quant_inst,[status(thm)],[])).
% 51.22/33.84 tff(27738,plain,
% 51.22/33.84 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p2, s2, c_shared) | (~m_processor_v_state(c_p2, s3, c_shared)) | (~node37(c_p2, s2, s3))),
% 51.22/33.84 inference(modus_ponens,[status(thm)],[27737, 27736])).
% 51.22/33.84 tff(27739,plain,
% 51.22/33.84 ($false),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27738, 182, 27735, 27705, 27734])).
% 51.22/33.84 tff(27740,plain,(m_processor_v_state(c_p2, s2, c_shared) | (~m_processor_v_state(c_p2, s3, c_shared)) | m_processor_v_master(c_p2, s2) | node36(c_p2, s2) | m_processor_v_abort(c_p2, s2)), inference(lemma,lemma(discharge,[]))).
% 51.22/33.84 tff(27741,plain,
% 51.22/33.84 (~m_processor_v_state(c_p2, s3, c_shared)),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27740, 27722, 27705, 5209, 27721])).
% 51.22/33.84 tff(27742,plain,
% 51.22/33.84 (node37(c_p2, s2, s3)),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27733, 27722, 27705, 5209, 27721])).
% 51.22/33.84 tff(27743,assumption,(node37(c_p2, s2, s3)), introduced(assumption)).
% 51.22/33.84 tff(27744,plain,
% 51.22/33.84 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p2, s2, c_owned) | (~m_processor_v_state(c_p2, s3, c_owned)) | (~node37(c_p2, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p2, s2, c_owned) | (~m_processor_v_state(c_p2, s3, c_owned)) | (~node37(c_p2, s2, s3)))),
% 51.22/33.84 inference(rewrite,[status(thm)],[])).
% 51.22/33.84 tff(27745,plain,
% 51.22/33.84 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p2, s2, c_owned) | (~m_processor_v_state(c_p2, s3, c_owned)) | (~node37(c_p2, s2, s3)))),
% 51.22/33.84 inference(quant_inst,[status(thm)],[])).
% 51.22/33.84 tff(27746,plain,
% 51.22/33.84 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p2, s2, c_owned) | (~m_processor_v_state(c_p2, s3, c_owned)) | (~node37(c_p2, s2, s3))),
% 51.22/33.84 inference(modus_ponens,[status(thm)],[27745, 27744])).
% 51.22/33.84 tff(27747,plain,
% 51.22/33.84 ($false),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27746, 182, 27694, 27665, 27743])).
% 51.22/33.84 tff(27748,plain,(m_processor_v_state(c_p2, s2, c_owned) | (~m_processor_v_state(c_p2, s3, c_owned)) | (~node37(c_p2, s2, s3))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.84 tff(27749,plain,
% 51.22/33.84 (~m_processor_v_state(c_p2, s3, c_owned)),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27748, 27742, 27694])).
% 51.22/33.84 tff(27750,assumption,(~m_processor_v_state(c_p2, s3, c_owned)), introduced(assumption)).
% 51.22/33.84 tff(27751,assumption,(~m_processor_v_state(c_p2, s3, c_shared)), introduced(assumption)).
% 51.22/33.84 tff(27752,plain,
% 51.22/33.84 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p2, s3, c_owned) | m_processor_v_state(c_p2, s3, c_shared) | m_processor_v_state(c_p2, s3, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p2, s3, c_owned) | m_processor_v_state(c_p2, s3, c_shared) | m_processor_v_state(c_p2, s3, c_invalid))),
% 51.22/33.84 inference(rewrite,[status(thm)],[])).
% 51.22/33.84 tff(27753,plain,
% 51.22/33.84 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p2, s3, c_owned) | m_processor_v_state(c_p2, s3, c_shared) | m_processor_v_state(c_p2, s3, c_invalid))),
% 51.22/33.84 inference(quant_inst,[status(thm)],[])).
% 51.22/33.84 tff(27754,plain,
% 51.22/33.84 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p2, s3, c_owned) | m_processor_v_state(c_p2, s3, c_shared) | m_processor_v_state(c_p2, s3, c_invalid)),
% 51.22/33.84 inference(modus_ponens,[status(thm)],[27753, 27752])).
% 51.22/33.84 tff(27755,plain,
% 51.22/33.84 ($false),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27754, 153, 27751, 27750, 27720])).
% 51.22/33.84 tff(27756,plain,(m_processor_v_state(c_p2, s3, c_owned) | m_processor_v_state(c_p2, s3, c_shared) | m_processor_v_state(c_p2, s3, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.22/33.84 tff(27757,plain,
% 51.22/33.84 ($false),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27756, 27749, 27741, 27720])).
% 51.22/33.84 tff(27758,plain,(m_processor_v_abort(c_p2, s2) | m_processor_v_state(c_p2, s3, c_invalid) | m_processor_v_state(c_p2, s2, c_owned) | m_processor_v_state(c_p2, s2, c_shared) | m_processor_v_master(c_p2, s2) | node36(c_p2, s2)), inference(lemma,lemma(discharge,[]))).
% 51.22/33.84 tff(27759,plain,
% 51.22/33.84 (m_processor_v_abort(c_p2, s2)),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27758, 27694, 27719, 5209, 27712, 27705])).
% 51.22/33.84 tff(27760,plain,
% 51.22/33.84 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | ((~node38(c_p2, s2, s3)) | node32(c_p2, s2, s3) | (~m_processor_v_abort(c_p2, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~node38(c_p2, s2, s3)) | node32(c_p2, s2, s3) | (~m_processor_v_abort(c_p2, s2)))),
% 51.22/33.84 inference(rewrite,[status(thm)],[])).
% 51.22/33.84 tff(27761,plain,
% 51.22/33.84 ((node32(c_p2, s2, s3) | (~node38(c_p2, s2, s3)) | (~m_processor_v_abort(c_p2, s2))) <=> ((~node38(c_p2, s2, s3)) | node32(c_p2, s2, s3) | (~m_processor_v_abort(c_p2, s2)))),
% 51.22/33.84 inference(rewrite,[status(thm)],[])).
% 51.22/33.84 tff(27762,plain,
% 51.22/33.84 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p2, s2, s3) | (~node38(c_p2, s2, s3)) | (~m_processor_v_abort(c_p2, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | ((~node38(c_p2, s2, s3)) | node32(c_p2, s2, s3) | (~m_processor_v_abort(c_p2, s2))))),
% 51.22/33.84 inference(monotonicity,[status(thm)],[27761])).
% 51.22/33.84 tff(27763,plain,
% 51.22/33.84 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p2, s2, s3) | (~node38(c_p2, s2, s3)) | (~m_processor_v_abort(c_p2, s2)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~node38(c_p2, s2, s3)) | node32(c_p2, s2, s3) | (~m_processor_v_abort(c_p2, s2)))),
% 51.22/33.84 inference(transitivity,[status(thm)],[27762, 27760])).
% 51.22/33.84 tff(27764,plain,
% 51.22/33.84 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p2, s2, s3) | (~node38(c_p2, s2, s3)) | (~m_processor_v_abort(c_p2, s2)))),
% 51.22/33.84 inference(quant_inst,[status(thm)],[])).
% 51.22/33.84 tff(27765,plain,
% 51.22/33.84 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (~node38(c_p2, s2, s3)) | node32(c_p2, s2, s3) | (~m_processor_v_abort(c_p2, s2))),
% 51.22/33.84 inference(modus_ponens,[status(thm)],[27764, 27763])).
% 51.22/33.84 tff(27766,plain,
% 51.22/33.84 (node32(c_p2, s2, s3) | (~m_processor_v_abort(c_p2, s2))),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27765, 243, 27726])).
% 51.22/33.84 tff(27767,plain,
% 51.22/33.84 ($false),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27766, 27759, 27704])).
% 51.22/33.84 tff(27768,plain,(m_processor_v_state(c_p2, s2, c_owned) | m_processor_v_master(c_p2, s2) | m_processor_v_state(c_p2, s2, c_shared) | (~m_processor_v_state(c_p2, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.84 tff(27769,plain,
% 51.22/33.84 (m_processor_v_master(c_p2, s2)),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27768, 27693, 27692, 27665])).
% 51.22/33.84 tff(27770,plain,
% 51.22/33.84 (node16(s2)),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[5207, 27769])).
% 51.22/33.84 tff(27771,plain,
% 51.22/33.84 (m_processor_v_master(c_p2, s2)),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27768, 27694, 27705, 27665])).
% 51.22/33.84 tff(27772,plain,
% 51.22/33.84 (node16(s2)),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[5207, 27771])).
% 51.22/33.84 tff(27773,assumption,(node16(s2)), introduced(assumption)).
% 51.22/33.84 tff(27774,plain,
% 51.22/33.84 ($false),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[5576, 1530, 5499, 27773])).
% 51.22/33.84 tff(27775,plain,((~m_processor_v_master(c_p0, s2)) | (~node16(s2))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.84 tff(27776,plain,
% 51.22/33.84 (~m_processor_v_master(c_p0, s2)),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[27775, 27772])).
% 51.22/33.84 tff(27777,plain,
% 51.22/33.84 (m_processor_v_cmd(c_p0, s2, c_idle)),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[5366, 27776])).
% 51.22/33.84 tff(27778,plain,
% 51.22/33.84 (m_main_v_CMD(s2, c_idle)),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[16595, 27777, 5586, 5142])).
% 51.22/33.84 tff(27779,plain,
% 51.22/33.84 (~m_main_v_CMD(s2, c_write_h_resp_h_invalid)),
% 51.22/33.84 inference(unit_resolution,[status(thm)],[20778, 7663, 27778])).
% 51.22/33.85 tff(27780,assumption,(~node4(s2)), introduced(assumption)).
% 51.22/33.85 tff(27781,plain,
% 51.22/33.85 ((~![X: $i] : node4(X)) | node4(s2)),
% 51.22/33.85 inference(quant_inst,[status(thm)],[])).
% 51.22/33.85 tff(27782,plain,
% 51.22/33.85 ($false),
% 51.22/33.85 inference(unit_resolution,[status(thm)],[27781, 21560, 27780])).
% 51.22/33.85 tff(27783,plain,(node4(s2)), inference(lemma,lemma(discharge,[]))).
% 51.22/33.85 tff(27784,plain,
% 51.22/33.85 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s2, c_write_h_resp_h_invalid) | (~node4(s2)) | (~m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s2, c_write_h_resp_h_invalid) | (~node4(s2)) | (~m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_invalid)))),
% 51.22/33.85 inference(rewrite,[status(thm)],[])).
% 51.22/33.85 tff(27785,plain,
% 51.22/33.85 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s2, c_write_h_resp_h_invalid) | (~node4(s2)) | (~m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_invalid)))),
% 51.22/33.85 inference(quant_inst,[status(thm)],[])).
% 51.22/33.85 tff(27786,plain,
% 51.22/33.85 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s2, c_write_h_resp_h_invalid) | (~node4(s2)) | (~m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_invalid))),
% 51.22/33.85 inference(modus_ponens,[status(thm)],[27785, 27784])).
% 51.22/33.85 tff(27787,plain,
% 51.22/33.85 (~m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_invalid)),
% 51.22/33.85 inference(unit_resolution,[status(thm)],[27786, 21573, 27783, 27779])).
% 51.22/33.85 tff(27788,plain,
% 51.22/33.85 (~m_processor_v_abort(c_p2, s2)),
% 51.22/33.85 inference(unit_resolution,[status(thm)],[27766, 27704])).
% 51.22/33.85 tff(27789,plain,
% 51.22/33.85 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p2, s2)) | (~node38(c_p2, s2, s3)) | m_processor_v_abort(c_p2, s2) | node34(c_p2, s2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p2, s2)) | (~node38(c_p2, s2, s3)) | m_processor_v_abort(c_p2, s2) | node34(c_p2, s2, s3))),
% 51.22/33.85 inference(rewrite,[status(thm)],[])).
% 51.22/33.85 tff(27790,plain,
% 51.22/33.85 ((node34(c_p2, s2, s3) | (~m_processor_v_master(c_p2, s2)) | (~node38(c_p2, s2, s3)) | m_processor_v_abort(c_p2, s2)) <=> ((~m_processor_v_master(c_p2, s2)) | (~node38(c_p2, s2, s3)) | m_processor_v_abort(c_p2, s2) | node34(c_p2, s2, s3))),
% 51.22/33.85 inference(rewrite,[status(thm)],[])).
% 51.22/33.85 tff(27791,plain,
% 51.22/33.85 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p2, s2, s3) | (~m_processor_v_master(c_p2, s2)) | (~node38(c_p2, s2, s3)) | m_processor_v_abort(c_p2, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_master(c_p2, s2)) | (~node38(c_p2, s2, s3)) | m_processor_v_abort(c_p2, s2) | node34(c_p2, s2, s3)))),
% 51.22/33.85 inference(monotonicity,[status(thm)],[27790])).
% 51.22/33.85 tff(27792,plain,
% 51.22/33.85 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p2, s2, s3) | (~m_processor_v_master(c_p2, s2)) | (~node38(c_p2, s2, s3)) | m_processor_v_abort(c_p2, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p2, s2)) | (~node38(c_p2, s2, s3)) | m_processor_v_abort(c_p2, s2) | node34(c_p2, s2, s3))),
% 51.22/33.85 inference(transitivity,[status(thm)],[27791, 27789])).
% 51.22/33.85 tff(27793,plain,
% 51.22/33.85 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p2, s2, s3) | (~m_processor_v_master(c_p2, s2)) | (~node38(c_p2, s2, s3)) | m_processor_v_abort(c_p2, s2))),
% 51.22/33.85 inference(quant_inst,[status(thm)],[])).
% 51.22/33.85 tff(27794,plain,
% 51.22/33.85 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~m_processor_v_master(c_p2, s2)) | (~node38(c_p2, s2, s3)) | m_processor_v_abort(c_p2, s2) | node34(c_p2, s2, s3)),
% 51.22/33.85 inference(modus_ponens,[status(thm)],[27793, 27792])).
% 51.22/33.85 tff(27795,plain,
% 51.22/33.85 ((~m_processor_v_master(c_p2, s2)) | m_processor_v_abort(c_p2, s2) | node34(c_p2, s2, s3)),
% 51.22/33.85 inference(unit_resolution,[status(thm)],[27794, 283, 27726])).
% 51.22/33.85 tff(27796,plain,
% 51.22/33.85 (node34(c_p2, s2, s3)),
% 51.22/33.85 inference(unit_resolution,[status(thm)],[27795, 27788, 27771])).
% 51.22/33.85 tff(27797,plain,
% 51.22/33.85 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~m_processor_v_CMD(c_p2, s2, c_read_h_shared)) | m_processor_v_state(c_p2, s3, c_shared) | (~node34(c_p2, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~m_processor_v_CMD(c_p2, s2, c_read_h_shared)) | m_processor_v_state(c_p2, s3, c_shared) | (~node34(c_p2, s2, s3)))),
% 51.22/33.85 inference(rewrite,[status(thm)],[])).
% 51.22/33.85 tff(27798,plain,
% 51.22/33.85 (((~node34(c_p2, s2, s3)) | m_processor_v_state(c_p2, s3, c_shared) | (~m_processor_v_CMD(c_p2, s2, c_read_h_shared))) <=> ((~m_processor_v_CMD(c_p2, s2, c_read_h_shared)) | m_processor_v_state(c_p2, s3, c_shared) | (~node34(c_p2, s2, s3)))),
% 51.22/33.85 inference(rewrite,[status(thm)],[])).
% 51.22/33.85 tff(27799,plain,
% 51.22/33.85 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p2, s2, s3)) | m_processor_v_state(c_p2, s3, c_shared) | (~m_processor_v_CMD(c_p2, s2, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~m_processor_v_CMD(c_p2, s2, c_read_h_shared)) | m_processor_v_state(c_p2, s3, c_shared) | (~node34(c_p2, s2, s3))))),
% 51.22/33.85 inference(monotonicity,[status(thm)],[27798])).
% 51.22/33.85 tff(27800,plain,
% 51.22/33.85 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p2, s2, s3)) | m_processor_v_state(c_p2, s3, c_shared) | (~m_processor_v_CMD(c_p2, s2, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~m_processor_v_CMD(c_p2, s2, c_read_h_shared)) | m_processor_v_state(c_p2, s3, c_shared) | (~node34(c_p2, s2, s3)))),
% 51.22/33.85 inference(transitivity,[status(thm)],[27799, 27797])).
% 51.22/33.85 tff(27801,plain,
% 51.22/33.85 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p2, s2, s3)) | m_processor_v_state(c_p2, s3, c_shared) | (~m_processor_v_CMD(c_p2, s2, c_read_h_shared)))),
% 51.22/33.85 inference(quant_inst,[status(thm)],[])).
% 51.22/33.85 tff(27802,plain,
% 51.22/33.85 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~m_processor_v_CMD(c_p2, s2, c_read_h_shared)) | m_processor_v_state(c_p2, s3, c_shared) | (~node34(c_p2, s2, s3))),
% 51.22/33.85 inference(modus_ponens,[status(thm)],[27801, 27800])).
% 51.22/33.85 tff(27803,plain,
% 51.22/33.85 (~m_processor_v_CMD(c_p2, s2, c_read_h_shared)),
% 51.22/33.85 inference(unit_resolution,[status(thm)],[27802, 416, 27672, 27796])).
% 51.22/33.85 tff(27804,plain,
% 51.22/33.85 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s2, c_idle)) | (~m_main_v_CMD(s2, c_write_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s2, c_idle)) | (~m_main_v_CMD(s2, c_write_h_invalid)))),
% 51.22/33.85 inference(rewrite,[status(thm)],[])).
% 51.22/33.85 tff(27805,plain,
% 51.22/33.85 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s2, c_idle)) | (~m_main_v_CMD(s2, c_write_h_invalid)))),
% 51.22/33.85 inference(quant_inst,[status(thm)],[])).
% 51.22/33.85 tff(27806,plain,
% 51.22/33.85 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s2, c_idle)) | (~m_main_v_CMD(s2, c_write_h_invalid))),
% 51.22/33.85 inference(modus_ponens,[status(thm)],[27805, 27804])).
% 51.22/33.85 tff(27807,plain,
% 51.22/33.85 (~m_main_v_CMD(s2, c_write_h_invalid)),
% 51.22/33.85 inference(unit_resolution,[status(thm)],[27806, 27273, 27778])).
% 51.22/33.85 tff(27808,plain,
% 51.22/33.85 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s2, c_write_h_invalid) | (~node4(s2)) | (~m_processor_v_CMD(c_p2, s2, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s2, c_write_h_invalid) | (~node4(s2)) | (~m_processor_v_CMD(c_p2, s2, c_write_h_invalid)))),
% 51.22/33.85 inference(rewrite,[status(thm)],[])).
% 51.22/33.85 tff(27809,plain,
% 51.22/33.85 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s2, c_write_h_invalid) | (~node4(s2)) | (~m_processor_v_CMD(c_p2, s2, c_write_h_invalid)))),
% 51.22/33.85 inference(quant_inst,[status(thm)],[])).
% 51.22/33.85 tff(27810,plain,
% 51.22/33.85 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s2, c_write_h_invalid) | (~node4(s2)) | (~m_processor_v_CMD(c_p2, s2, c_write_h_invalid))),
% 51.22/33.85 inference(modus_ponens,[status(thm)],[27809, 27808])).
% 51.22/33.85 tff(27811,plain,
% 51.22/33.85 (~m_processor_v_CMD(c_p2, s2, c_write_h_invalid)),
% 51.22/33.85 inference(unit_resolution,[status(thm)],[27810, 21573, 27783, 27807])).
% 51.22/33.85 tff(27812,plain,
% 51.22/33.85 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_shared)))) | ((~m_main_v_CMD(s2, c_idle)) | (~m_main_v_CMD(s2, c_write_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_shared)))) | (~m_main_v_CMD(s2, c_idle)) | (~m_main_v_CMD(s2, c_write_h_shared)))),
% 51.22/33.85 inference(rewrite,[status(thm)],[])).
% 51.22/33.85 tff(27813,plain,
% 51.22/33.85 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_shared)))) | ((~m_main_v_CMD(s2, c_idle)) | (~m_main_v_CMD(s2, c_write_h_shared)))),
% 51.22/33.85 inference(quant_inst,[status(thm)],[])).
% 51.22/33.85 tff(27814,plain,
% 51.22/33.85 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_shared)))) | (~m_main_v_CMD(s2, c_idle)) | (~m_main_v_CMD(s2, c_write_h_shared))),
% 51.22/33.85 inference(modus_ponens,[status(thm)],[27813, 27812])).
% 51.22/33.85 tff(27815,plain,
% 51.22/33.85 (~m_main_v_CMD(s2, c_write_h_shared)),
% 51.22/33.85 inference(unit_resolution,[status(thm)],[27814, 27293, 27778])).
% 51.22/33.85 tff(27816,plain,
% 51.22/33.85 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s2, c_write_h_shared) | (~node4(s2)) | (~m_processor_v_CMD(c_p2, s2, c_write_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s2, c_write_h_shared) | (~node4(s2)) | (~m_processor_v_CMD(c_p2, s2, c_write_h_shared)))),
% 51.22/33.85 inference(rewrite,[status(thm)],[])).
% 51.22/33.85 tff(27817,plain,
% 51.22/33.85 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s2, c_write_h_shared) | (~node4(s2)) | (~m_processor_v_CMD(c_p2, s2, c_write_h_shared)))),
% 51.22/33.85 inference(quant_inst,[status(thm)],[])).
% 51.22/33.85 tff(27818,plain,
% 51.22/33.85 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s2, c_write_h_shared) | (~node4(s2)) | (~m_processor_v_CMD(c_p2, s2, c_write_h_shared))),
% 51.22/33.85 inference(modus_ponens,[status(thm)],[27817, 27816])).
% 51.22/33.85 tff(27819,plain,
% 51.22/33.85 (~m_processor_v_CMD(c_p2, s2, c_write_h_shared)),
% 51.22/33.85 inference(unit_resolution,[status(thm)],[27818, 21573, 27783, 27815])).
% 51.22/33.85 tff(27820,plain,
% 51.22/33.85 (~m_main_v_CMD(s2, c_write_h_resp_h_shared)),
% 51.22/33.85 inference(unit_resolution,[status(thm)],[20749, 7650, 27778])).
% 51.22/33.85 tff(27821,plain,
% 51.22/33.85 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s2, c_write_h_resp_h_shared) | (~node4(s2)) | (~m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s2, c_write_h_resp_h_shared) | (~node4(s2)) | (~m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_shared)))),
% 51.22/33.85 inference(rewrite,[status(thm)],[])).
% 51.22/33.85 tff(27822,plain,
% 51.22/33.85 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s2, c_write_h_resp_h_shared) | (~node4(s2)) | (~m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_shared)))),
% 51.22/33.85 inference(quant_inst,[status(thm)],[])).
% 51.22/33.85 tff(27823,plain,
% 51.22/33.85 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s2, c_write_h_resp_h_shared) | (~node4(s2)) | (~m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_shared))),
% 51.22/33.85 inference(modus_ponens,[status(thm)],[27822, 27821])).
% 51.22/33.85 tff(27824,plain,
% 51.22/33.85 (~m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_shared)),
% 51.22/33.85 inference(unit_resolution,[status(thm)],[27823, 21573, 27783, 27820])).
% 51.22/33.85 tff(27825,plain,
% 51.22/33.85 (~m_main_v_CMD(s2, c_read_h_owned)),
% 51.22/33.85 inference(unit_resolution,[status(thm)],[16539, 1971, 27778])).
% 51.22/33.85 tff(27826,plain,
% 51.22/33.85 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s2, c_read_h_owned) | (~node4(s2)) | (~m_processor_v_CMD(c_p2, s2, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s2, c_read_h_owned) | (~node4(s2)) | (~m_processor_v_CMD(c_p2, s2, c_read_h_owned)))),
% 51.22/33.85 inference(rewrite,[status(thm)],[])).
% 51.22/33.85 tff(27827,plain,
% 51.22/33.85 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s2, c_read_h_owned) | (~node4(s2)) | (~m_processor_v_CMD(c_p2, s2, c_read_h_owned)))),
% 51.22/33.85 inference(quant_inst,[status(thm)],[])).
% 51.22/33.85 tff(27828,plain,
% 51.22/33.85 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s2, c_read_h_owned) | (~node4(s2)) | (~m_processor_v_CMD(c_p2, s2, c_read_h_owned))),
% 51.22/33.85 inference(modus_ponens,[status(thm)],[27827, 27826])).
% 51.22/33.85 tff(27829,plain,
% 51.22/33.85 (~m_processor_v_CMD(c_p2, s2, c_read_h_owned)),
% 51.22/33.85 inference(unit_resolution,[status(thm)],[27828, 21573, 27783, 27825])).
% 51.22/33.85 tff(27830,plain,
% 51.22/33.85 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p2, s2, c_owned) | m_processor_v_state(c_p2, s2, c_shared) | m_processor_v_state(c_p2, s2, c_invalid))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p2, s2, c_owned) | m_processor_v_state(c_p2, s2, c_shared) | m_processor_v_state(c_p2, s2, c_invalid))),
% 51.22/33.85 inference(rewrite,[status(thm)],[])).
% 51.22/33.85 tff(27831,plain,
% 51.22/33.85 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | (m_processor_v_state(c_p2, s2, c_owned) | m_processor_v_state(c_p2, s2, c_shared) | m_processor_v_state(c_p2, s2, c_invalid))),
% 51.22/33.85 inference(quant_inst,[status(thm)],[])).
% 51.22/33.85 tff(27832,plain,
% 51.22/33.85 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | m_processor_v_state(I0, X, c_shared) | m_processor_v_state(I0, X, c_invalid))) | m_processor_v_state(c_p2, s2, c_owned) | m_processor_v_state(c_p2, s2, c_shared) | m_processor_v_state(c_p2, s2, c_invalid)),
% 51.22/33.85 inference(modus_ponens,[status(thm)],[27831, 27830])).
% 51.22/33.85 tff(27833,plain,
% 51.22/33.85 ($false),
% 51.22/33.85 inference(unit_resolution,[status(thm)],[27832, 153, 27694, 27705, 27505])).
% 51.22/33.85 tff(27834,plain,(m_processor_v_state(c_p2, s2, c_shared) | m_processor_v_state(c_p2, s2, c_owned) | m_processor_v_state(c_p2, s2, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.22/33.85 tff(27835,plain,
% 51.22/33.85 (m_processor_v_state(c_p2, s2, c_invalid)),
% 51.22/33.85 inference(unit_resolution,[status(thm)],[27834, 27694, 27705])).
% 51.22/33.85 tff(27836,assumption,(node33(c_p2, s2, s3)), introduced(assumption)).
% 51.22/33.85 tff(27837,assumption,(m_processor_v_state(c_p2, s2, c_invalid)), introduced(assumption)).
% 51.22/33.85 tff(27838,plain,
% 51.22/33.85 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p2, s3, c_invalid) | (~m_processor_v_state(c_p2, s2, c_invalid)) | (~node33(c_p2, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p2, s3, c_invalid) | (~m_processor_v_state(c_p2, s2, c_invalid)) | (~node33(c_p2, s2, s3)))),
% 51.22/33.85 inference(rewrite,[status(thm)],[])).
% 51.22/33.85 tff(27839,plain,
% 51.22/33.85 (((~m_processor_v_state(c_p2, s2, c_invalid)) | m_processor_v_state(c_p2, s3, c_invalid) | (~node33(c_p2, s2, s3))) <=> (m_processor_v_state(c_p2, s3, c_invalid) | (~m_processor_v_state(c_p2, s2, c_invalid)) | (~node33(c_p2, s2, s3)))),
% 51.22/33.85 inference(rewrite,[status(thm)],[])).
% 51.22/33.85 tff(27840,plain,
% 51.22/33.85 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p2, s2, c_invalid)) | m_processor_v_state(c_p2, s3, c_invalid) | (~node33(c_p2, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p2, s3, c_invalid) | (~m_processor_v_state(c_p2, s2, c_invalid)) | (~node33(c_p2, s2, s3))))),
% 51.22/33.85 inference(monotonicity,[status(thm)],[27839])).
% 51.22/33.85 tff(27841,plain,
% 51.22/33.85 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p2, s2, c_invalid)) | m_processor_v_state(c_p2, s3, c_invalid) | (~node33(c_p2, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p2, s3, c_invalid) | (~m_processor_v_state(c_p2, s2, c_invalid)) | (~node33(c_p2, s2, s3)))),
% 51.22/33.85 inference(transitivity,[status(thm)],[27840, 27838])).
% 51.22/33.85 tff(27842,plain,
% 51.22/33.85 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p2, s2, c_invalid)) | m_processor_v_state(c_p2, s3, c_invalid) | (~node33(c_p2, s2, s3)))),
% 51.22/33.85 inference(quant_inst,[status(thm)],[])).
% 51.22/33.85 tff(27843,plain,
% 51.22/33.85 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p2, s3, c_invalid) | (~m_processor_v_state(c_p2, s2, c_invalid)) | (~node33(c_p2, s2, s3))),
% 51.22/33.85 inference(modus_ponens,[status(thm)],[27842, 27841])).
% 51.22/33.85 tff(27844,plain,
% 51.22/33.85 ($false),
% 51.22/33.85 inference(unit_resolution,[status(thm)],[27843, 399, 27837, 27720, 27836])).
% 51.22/33.85 tff(27845,plain,((~m_processor_v_state(c_p2, s2, c_invalid)) | m_processor_v_state(c_p2, s3, c_invalid) | (~node33(c_p2, s2, s3))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.85 tff(27846,plain,
% 51.22/33.85 (~node33(c_p2, s2, s3)),
% 51.22/33.85 inference(unit_resolution,[status(thm)],[27845, 27835, 27719])).
% 51.22/33.85 tff(27847,plain,
% 51.22/33.85 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s2, c_read_h_owned) | m_processor_v_CMD(c_p2, s2, c_write_h_shared) | m_processor_v_CMD(c_p2, s2, c_read_h_shared) | m_processor_v_CMD(c_p2, s2, c_write_h_invalid) | m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_invalid) | node33(c_p2, s2, s3) | (~node34(c_p2, s2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s2, c_read_h_owned) | m_processor_v_CMD(c_p2, s2, c_write_h_shared) | m_processor_v_CMD(c_p2, s2, c_read_h_shared) | m_processor_v_CMD(c_p2, s2, c_write_h_invalid) | m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_invalid) | node33(c_p2, s2, s3) | (~node34(c_p2, s2, s3)))),
% 51.22/33.85 inference(rewrite,[status(thm)],[])).
% 51.22/33.85 tff(27848,plain,
% 51.22/33.85 ((node33(c_p2, s2, s3) | (~node34(c_p2, s2, s3)) | m_processor_v_CMD(c_p2, s2, c_read_h_shared) | m_processor_v_CMD(c_p2, s2, c_read_h_owned) | m_processor_v_CMD(c_p2, s2, c_write_h_invalid) | m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s2, c_write_h_shared) | m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s2, c_read_h_owned) | m_processor_v_CMD(c_p2, s2, c_write_h_shared) | m_processor_v_CMD(c_p2, s2, c_read_h_shared) | m_processor_v_CMD(c_p2, s2, c_write_h_invalid) | m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_invalid) | node33(c_p2, s2, s3) | (~node34(c_p2, s2, s3)))),
% 51.22/33.85 inference(rewrite,[status(thm)],[])).
% 51.22/33.85 tff(27849,plain,
% 51.22/33.85 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p2, s2, s3) | (~node34(c_p2, s2, s3)) | m_processor_v_CMD(c_p2, s2, c_read_h_shared) | m_processor_v_CMD(c_p2, s2, c_read_h_owned) | m_processor_v_CMD(c_p2, s2, c_write_h_invalid) | m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s2, c_write_h_shared) | m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s2, c_read_h_owned) | m_processor_v_CMD(c_p2, s2, c_write_h_shared) | m_processor_v_CMD(c_p2, s2, c_read_h_shared) | m_processor_v_CMD(c_p2, s2, c_write_h_invalid) | m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_invalid) | node33(c_p2, s2, s3) | (~node34(c_p2, s2, s3))))),
% 51.22/33.85 inference(monotonicity,[status(thm)],[27848])).
% 51.22/33.85 tff(27850,plain,
% 51.22/33.85 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p2, s2, s3) | (~node34(c_p2, s2, s3)) | m_processor_v_CMD(c_p2, s2, c_read_h_shared) | m_processor_v_CMD(c_p2, s2, c_read_h_owned) | m_processor_v_CMD(c_p2, s2, c_write_h_invalid) | m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s2, c_write_h_shared) | m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s2, c_read_h_owned) | m_processor_v_CMD(c_p2, s2, c_write_h_shared) | m_processor_v_CMD(c_p2, s2, c_read_h_shared) | m_processor_v_CMD(c_p2, s2, c_write_h_invalid) | m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_invalid) | node33(c_p2, s2, s3) | (~node34(c_p2, s2, s3)))),
% 51.22/33.85 inference(transitivity,[status(thm)],[27849, 27847])).
% 51.22/33.85 tff(27851,plain,
% 51.22/33.85 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p2, s2, s3) | (~node34(c_p2, s2, s3)) | m_processor_v_CMD(c_p2, s2, c_read_h_shared) | m_processor_v_CMD(c_p2, s2, c_read_h_owned) | m_processor_v_CMD(c_p2, s2, c_write_h_invalid) | m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s2, c_write_h_shared) | m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_shared))),
% 51.22/33.85 inference(quant_inst,[status(thm)],[])).
% 51.22/33.85 tff(27852,plain,
% 51.22/33.85 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s2, c_read_h_owned) | m_processor_v_CMD(c_p2, s2, c_write_h_shared) | m_processor_v_CMD(c_p2, s2, c_read_h_shared) | m_processor_v_CMD(c_p2, s2, c_write_h_invalid) | m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_invalid) | node33(c_p2, s2, s3) | (~node34(c_p2, s2, s3))),
% 51.22/33.85 inference(modus_ponens,[status(thm)],[27851, 27850])).
% 51.22/33.85 tff(27853,plain,
% 51.22/33.85 (m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s2, c_read_h_owned) | m_processor_v_CMD(c_p2, s2, c_write_h_shared) | m_processor_v_CMD(c_p2, s2, c_read_h_shared) | m_processor_v_CMD(c_p2, s2, c_write_h_invalid) | m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_invalid)),
% 51.22/33.85 inference(unit_resolution,[status(thm)],[27852, 474, 27796, 27846])).
% 51.22/33.85 tff(27854,plain,
% 51.22/33.85 ($false),
% 51.22/33.85 inference(unit_resolution,[status(thm)],[27853, 27829, 27824, 27819, 27811, 27803, 27787])).
% 51.22/33.85 tff(27855,plain,(m_processor_v_state(c_p2, s2, c_owned) | (~m_memory_v_cmd(c_m, s2, c_idle)) | (~m_processor_v_cmd(c_p1, s2, c_idle)) | m_processor_v_state(c_p2, s2, c_shared) | (~m_processor_v_state(c_p2, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.85 tff(27856,plain,
% 51.22/33.85 (~m_processor_v_cmd(c_p1, s2, c_idle)),
% 51.22/33.85 inference(unit_resolution,[status(thm)],[27855, 27693, 5586, 27692, 27665])).
% 51.22/33.85 tff(27857,plain,
% 51.22/33.85 (m_processor_v_master(c_p1, s2)),
% 51.22/33.85 inference(unit_resolution,[status(thm)],[5564, 27856])).
% 51.22/33.85 tff(27858,plain,
% 51.22/33.85 ($false),
% 51.22/33.85 inference(unit_resolution,[status(thm)],[5199, 3386, 5151, 27773])).
% 51.22/33.85 tff(27859,plain,((~m_processor_v_master(c_p1, s2)) | (~node16(s2))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.85 tff(27860,plain,
% 51.22/33.85 ($false),
% 51.22/33.85 inference(unit_resolution,[status(thm)],[27859, 27857, 27770])).
% 51.22/33.85 tff(27861,plain,(m_processor_v_master(c_p2, s1) | (~m_memory_v_cmd(c_m, s2, c_idle)) | (~m_processor_v_state(c_p2, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.85 tff(27862,plain,
% 51.22/33.85 (m_processor_v_master(c_p2, s1)),
% 51.22/33.85 inference(unit_resolution,[status(thm)],[27861, 5586, 27665])).
% 51.22/33.85 tff(27863,plain,
% 51.22/33.85 (node16(s1)),
% 51.22/33.85 inference(unit_resolution,[status(thm)],[27524, 27862])).
% 51.22/33.85 tff(27864,plain,
% 51.22/33.85 (~m_processor_v_master(c_p0, s1)),
% 51.22/33.85 inference(unit_resolution,[status(thm)],[27528, 27863])).
% 51.22/33.85 tff(27865,plain,
% 51.22/33.85 (m_processor_v_cmd(c_p0, s1, c_idle)),
% 51.22/33.85 inference(unit_resolution,[status(thm)],[3298, 27864])).
% 51.22/33.85 tff(27866,plain,
% 51.22/33.85 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | ((~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_shared)))),
% 51.22/33.85 inference(rewrite,[status(thm)],[])).
% 51.22/33.85 tff(27867,plain,
% 51.22/33.85 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | ((~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_shared)))),
% 51.22/33.86 inference(quant_inst,[status(thm)],[])).
% 51.22/33.86 tff(27868,plain,
% 51.22/33.86 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_shared)))) | (~m_processor_v_cmd(c_p0, s1, c_idle)) | (~m_processor_v_cmd(c_p0, s1, c_write_h_shared))),
% 51.22/33.86 inference(modus_ponens,[status(thm)],[27867, 27866])).
% 51.22/33.86 tff(27869,plain,
% 51.22/33.86 (~m_processor_v_cmd(c_p0, s1, c_write_h_shared)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27868, 4307, 27865])).
% 51.22/33.86 tff(27870,plain,
% 51.22/33.86 (~m_processor_v_cmd(c_p2, s1, c_idle)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27554, 27862])).
% 51.22/33.86 tff(27871,plain,
% 51.22/33.86 (node12(s1)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[3695, 27865, 27870])).
% 51.22/33.86 tff(27872,plain,
% 51.22/33.86 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~node12(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_shared) | (~m_main_v_CMD(s1, c_write_h_shared)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~node12(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_shared) | (~m_main_v_CMD(s1, c_write_h_shared)))),
% 51.22/33.86 inference(rewrite,[status(thm)],[])).
% 51.22/33.86 tff(27873,plain,
% 51.22/33.86 (((~m_main_v_CMD(s1, c_write_h_shared)) | m_processor_v_cmd(c_p0, s1, c_write_h_shared) | (~node12(s1))) <=> ((~node12(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_shared) | (~m_main_v_CMD(s1, c_write_h_shared)))),
% 51.22/33.86 inference(rewrite,[status(thm)],[])).
% 51.22/33.86 tff(27874,plain,
% 51.22/33.86 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s1, c_write_h_shared)) | m_processor_v_cmd(c_p0, s1, c_write_h_shared) | (~node12(s1)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~node12(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_shared) | (~m_main_v_CMD(s1, c_write_h_shared))))),
% 51.22/33.86 inference(monotonicity,[status(thm)],[27873])).
% 51.22/33.86 tff(27875,plain,
% 51.22/33.86 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s1, c_write_h_shared)) | m_processor_v_cmd(c_p0, s1, c_write_h_shared) | (~node12(s1)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~node12(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_shared) | (~m_main_v_CMD(s1, c_write_h_shared)))),
% 51.22/33.86 inference(transitivity,[status(thm)],[27874, 27872])).
% 51.22/33.86 tff(27876,plain,
% 51.22/33.86 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s1, c_write_h_shared)) | m_processor_v_cmd(c_p0, s1, c_write_h_shared) | (~node12(s1)))),
% 51.22/33.86 inference(quant_inst,[status(thm)],[])).
% 51.22/33.86 tff(27877,plain,
% 51.22/33.86 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~node12(s1)) | m_processor_v_cmd(c_p0, s1, c_write_h_shared) | (~m_main_v_CMD(s1, c_write_h_shared))),
% 51.22/33.86 inference(modus_ponens,[status(thm)],[27876, 27875])).
% 51.22/33.86 tff(27878,plain,
% 51.22/33.86 (~m_main_v_CMD(s1, c_write_h_shared)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27877, 3644, 27871, 27869])).
% 51.22/33.86 tff(27879,plain,
% 51.22/33.86 (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_shared)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[20335, 4285, 27865])).
% 51.22/33.86 tff(27880,plain,
% 51.22/33.86 (~m_main_v_CMD(s1, c_write_h_resp_h_shared)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[20406, 3644, 27871, 27879])).
% 51.22/33.86 tff(27881,plain,
% 51.22/33.86 (~m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_shared)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27625, 21573, 27570, 27880])).
% 51.22/33.86 tff(27882,plain,
% 51.22/33.86 (m_processor_v_state(c_p2, s2, c_shared)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27855, 5142, 5586, 27694, 27665])).
% 51.22/33.86 tff(27883,plain,
% 51.22/33.86 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p2, s2) | m_processor_v_state(c_p2, s3, c_shared) | m_processor_v_state(c_p2, s3, c_invalid) | (~m_processor_v_state(c_p2, s2, c_shared)) | (~node38(c_p2, s2, s3)) | node36(c_p2, s2) | m_processor_v_abort(c_p2, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p2, s2) | m_processor_v_state(c_p2, s3, c_shared) | m_processor_v_state(c_p2, s3, c_invalid) | (~m_processor_v_state(c_p2, s2, c_shared)) | (~node38(c_p2, s2, s3)) | node36(c_p2, s2) | m_processor_v_abort(c_p2, s2))),
% 51.22/33.86 inference(rewrite,[status(thm)],[])).
% 51.22/33.86 tff(27884,plain,
% 51.22/33.86 (((~m_processor_v_state(c_p2, s2, c_shared)) | node36(c_p2, s2) | m_processor_v_state(c_p2, s3, c_shared) | m_processor_v_master(c_p2, s2) | m_processor_v_state(c_p2, s3, c_invalid) | (~node38(c_p2, s2, s3)) | m_processor_v_abort(c_p2, s2)) <=> (m_processor_v_master(c_p2, s2) | m_processor_v_state(c_p2, s3, c_shared) | m_processor_v_state(c_p2, s3, c_invalid) | (~m_processor_v_state(c_p2, s2, c_shared)) | (~node38(c_p2, s2, s3)) | node36(c_p2, s2) | m_processor_v_abort(c_p2, s2))),
% 51.22/33.86 inference(rewrite,[status(thm)],[])).
% 51.22/33.86 tff(27885,plain,
% 51.22/33.86 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p2, s2, c_shared)) | node36(c_p2, s2) | m_processor_v_state(c_p2, s3, c_shared) | m_processor_v_master(c_p2, s2) | m_processor_v_state(c_p2, s3, c_invalid) | (~node38(c_p2, s2, s3)) | m_processor_v_abort(c_p2, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p2, s2) | m_processor_v_state(c_p2, s3, c_shared) | m_processor_v_state(c_p2, s3, c_invalid) | (~m_processor_v_state(c_p2, s2, c_shared)) | (~node38(c_p2, s2, s3)) | node36(c_p2, s2) | m_processor_v_abort(c_p2, s2)))),
% 51.22/33.86 inference(monotonicity,[status(thm)],[27884])).
% 51.22/33.86 tff(27886,plain,
% 51.22/33.86 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p2, s2, c_shared)) | node36(c_p2, s2) | m_processor_v_state(c_p2, s3, c_shared) | m_processor_v_master(c_p2, s2) | m_processor_v_state(c_p2, s3, c_invalid) | (~node38(c_p2, s2, s3)) | m_processor_v_abort(c_p2, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p2, s2) | m_processor_v_state(c_p2, s3, c_shared) | m_processor_v_state(c_p2, s3, c_invalid) | (~m_processor_v_state(c_p2, s2, c_shared)) | (~node38(c_p2, s2, s3)) | node36(c_p2, s2) | m_processor_v_abort(c_p2, s2))),
% 51.22/33.86 inference(transitivity,[status(thm)],[27885, 27883])).
% 51.22/33.86 tff(27887,plain,
% 51.22/33.86 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p2, s2, c_shared)) | node36(c_p2, s2) | m_processor_v_state(c_p2, s3, c_shared) | m_processor_v_master(c_p2, s2) | m_processor_v_state(c_p2, s3, c_invalid) | (~node38(c_p2, s2, s3)) | m_processor_v_abort(c_p2, s2))),
% 51.22/33.86 inference(quant_inst,[status(thm)],[])).
% 51.22/33.86 tff(27888,plain,
% 51.22/33.86 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p2, s2) | m_processor_v_state(c_p2, s3, c_shared) | m_processor_v_state(c_p2, s3, c_invalid) | (~m_processor_v_state(c_p2, s2, c_shared)) | (~node38(c_p2, s2, s3)) | node36(c_p2, s2) | m_processor_v_abort(c_p2, s2)),
% 51.22/33.86 inference(modus_ponens,[status(thm)],[27887, 27886])).
% 51.22/33.86 tff(27889,plain,
% 51.22/33.86 (m_processor_v_master(c_p2, s2) | m_processor_v_state(c_p2, s3, c_shared) | m_processor_v_state(c_p2, s3, c_invalid) | (~m_processor_v_state(c_p2, s2, c_shared)) | node36(c_p2, s2) | m_processor_v_abort(c_p2, s2)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27888, 341, 27726])).
% 51.22/33.86 tff(27890,plain,
% 51.22/33.86 (node36(c_p2, s2)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27889, 5209, 27720, 27751, 27673, 27722])).
% 51.22/33.86 tff(27891,plain,
% 51.22/33.86 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p2, s2) | m_processor_v_state(c_p2, s3, c_invalid) | (~m_processor_v_state(c_p2, s2, c_shared)) | node35(c_p2, s2) | (~node38(c_p2, s2, s3)) | m_processor_v_abort(c_p2, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p2, s2) | m_processor_v_state(c_p2, s3, c_invalid) | (~m_processor_v_state(c_p2, s2, c_shared)) | node35(c_p2, s2) | (~node38(c_p2, s2, s3)) | m_processor_v_abort(c_p2, s2))),
% 51.22/33.86 inference(rewrite,[status(thm)],[])).
% 51.22/33.86 tff(27892,plain,
% 51.22/33.86 (((~m_processor_v_state(c_p2, s2, c_shared)) | m_processor_v_master(c_p2, s2) | node35(c_p2, s2) | m_processor_v_state(c_p2, s3, c_invalid) | (~node38(c_p2, s2, s3)) | m_processor_v_abort(c_p2, s2)) <=> (m_processor_v_master(c_p2, s2) | m_processor_v_state(c_p2, s3, c_invalid) | (~m_processor_v_state(c_p2, s2, c_shared)) | node35(c_p2, s2) | (~node38(c_p2, s2, s3)) | m_processor_v_abort(c_p2, s2))),
% 51.22/33.86 inference(rewrite,[status(thm)],[])).
% 51.22/33.86 tff(27893,plain,
% 51.22/33.86 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p2, s2, c_shared)) | m_processor_v_master(c_p2, s2) | node35(c_p2, s2) | m_processor_v_state(c_p2, s3, c_invalid) | (~node38(c_p2, s2, s3)) | m_processor_v_abort(c_p2, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_master(c_p2, s2) | m_processor_v_state(c_p2, s3, c_invalid) | (~m_processor_v_state(c_p2, s2, c_shared)) | node35(c_p2, s2) | (~node38(c_p2, s2, s3)) | m_processor_v_abort(c_p2, s2)))),
% 51.22/33.86 inference(monotonicity,[status(thm)],[27892])).
% 51.22/33.86 tff(27894,plain,
% 51.22/33.86 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p2, s2, c_shared)) | m_processor_v_master(c_p2, s2) | node35(c_p2, s2) | m_processor_v_state(c_p2, s3, c_invalid) | (~node38(c_p2, s2, s3)) | m_processor_v_abort(c_p2, s2))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p2, s2) | m_processor_v_state(c_p2, s3, c_invalid) | (~m_processor_v_state(c_p2, s2, c_shared)) | node35(c_p2, s2) | (~node38(c_p2, s2, s3)) | m_processor_v_abort(c_p2, s2))),
% 51.22/33.86 inference(transitivity,[status(thm)],[27893, 27891])).
% 51.22/33.86 tff(27895,plain,
% 51.22/33.86 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p2, s2, c_shared)) | m_processor_v_master(c_p2, s2) | node35(c_p2, s2) | m_processor_v_state(c_p2, s3, c_invalid) | (~node38(c_p2, s2, s3)) | m_processor_v_abort(c_p2, s2))),
% 51.22/33.86 inference(quant_inst,[status(thm)],[])).
% 51.22/33.86 tff(27896,plain,
% 51.22/33.86 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | m_processor_v_master(c_p2, s2) | m_processor_v_state(c_p2, s3, c_invalid) | (~m_processor_v_state(c_p2, s2, c_shared)) | node35(c_p2, s2) | (~node38(c_p2, s2, s3)) | m_processor_v_abort(c_p2, s2)),
% 51.22/33.86 inference(modus_ponens,[status(thm)],[27895, 27894])).
% 51.22/33.86 tff(27897,plain,
% 51.22/33.86 (m_processor_v_master(c_p2, s2) | m_processor_v_state(c_p2, s3, c_invalid) | (~m_processor_v_state(c_p2, s2, c_shared)) | node35(c_p2, s2) | m_processor_v_abort(c_p2, s2)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27896, 301, 27726])).
% 51.22/33.86 tff(27898,plain,
% 51.22/33.86 (node35(c_p2, s2)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27897, 5209, 27720, 27673, 27722])).
% 51.22/33.86 tff(27899,plain,
% 51.22/33.86 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p2, s2, c_read_h_owned)) | (~node35(c_p2, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p2, s2, c_read_h_owned)) | (~node35(c_p2, s2)))),
% 51.22/33.86 inference(rewrite,[status(thm)],[])).
% 51.22/33.86 tff(27900,plain,
% 51.22/33.86 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p2, s2, c_read_h_owned)) | (~node35(c_p2, s2)))),
% 51.22/33.86 inference(quant_inst,[status(thm)],[])).
% 51.22/33.86 tff(27901,plain,
% 51.22/33.86 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p2, s2, c_read_h_owned)) | (~node35(c_p2, s2))),
% 51.22/33.86 inference(modus_ponens,[status(thm)],[27900, 27899])).
% 51.22/33.86 tff(27902,plain,
% 51.22/33.86 (~m_processor_v_CMD(c_p2, s2, c_read_h_owned)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27901, 316, 27898])).
% 51.22/33.86 tff(27903,plain,
% 51.22/33.86 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p2, s2, c_invalidate)) | (~node35(c_p2, s2)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p2, s2, c_invalidate)) | (~node35(c_p2, s2)))),
% 51.22/33.86 inference(rewrite,[status(thm)],[])).
% 51.22/33.86 tff(27904,plain,
% 51.22/33.86 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p2, s2, c_invalidate)) | (~node35(c_p2, s2)))),
% 51.22/33.86 inference(quant_inst,[status(thm)],[])).
% 51.22/33.86 tff(27905,plain,
% 51.22/33.86 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~m_processor_v_CMD(c_p2, s2, c_invalidate)) | (~node35(c_p2, s2))),
% 51.22/33.86 inference(modus_ponens,[status(thm)],[27904, 27903])).
% 51.22/33.86 tff(27906,plain,
% 51.22/33.86 (~m_processor_v_CMD(c_p2, s2, c_invalidate)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27905, 327, 27898])).
% 51.22/33.86 tff(27907,assumption,(~m_processor_v_CMD(c_p2, s2, c_invalidate)), introduced(assumption)).
% 51.22/33.86 tff(27908,assumption,(~m_processor_v_CMD(c_p2, s2, c_read_h_owned)), introduced(assumption)).
% 51.22/33.86 tff(27909,plain,
% 51.22/33.86 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p2, s2, c_read_h_owned) | m_processor_v_CMD(c_p2, s2, c_invalidate) | (~node36(c_p2, s2)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p2, s2, c_read_h_owned) | m_processor_v_CMD(c_p2, s2, c_invalidate) | (~node36(c_p2, s2)))),
% 51.22/33.86 inference(rewrite,[status(thm)],[])).
% 51.22/33.86 tff(27910,plain,
% 51.22/33.86 ((m_processor_v_CMD(c_p2, s2, c_invalidate) | (~node36(c_p2, s2)) | m_processor_v_CMD(c_p2, s2, c_read_h_owned)) <=> (m_processor_v_CMD(c_p2, s2, c_read_h_owned) | m_processor_v_CMD(c_p2, s2, c_invalidate) | (~node36(c_p2, s2)))),
% 51.22/33.86 inference(rewrite,[status(thm)],[])).
% 51.22/33.86 tff(27911,plain,
% 51.22/33.86 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p2, s2, c_invalidate) | (~node36(c_p2, s2)) | m_processor_v_CMD(c_p2, s2, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p2, s2, c_read_h_owned) | m_processor_v_CMD(c_p2, s2, c_invalidate) | (~node36(c_p2, s2))))),
% 51.22/33.86 inference(monotonicity,[status(thm)],[27910])).
% 51.22/33.86 tff(27912,plain,
% 51.22/33.86 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p2, s2, c_invalidate) | (~node36(c_p2, s2)) | m_processor_v_CMD(c_p2, s2, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p2, s2, c_read_h_owned) | m_processor_v_CMD(c_p2, s2, c_invalidate) | (~node36(c_p2, s2)))),
% 51.22/33.86 inference(transitivity,[status(thm)],[27911, 27909])).
% 51.22/33.86 tff(27913,plain,
% 51.22/33.86 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p2, s2, c_invalidate) | (~node36(c_p2, s2)) | m_processor_v_CMD(c_p2, s2, c_read_h_owned))),
% 51.22/33.86 inference(quant_inst,[status(thm)],[])).
% 51.22/33.86 tff(27914,plain,
% 51.22/33.86 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p2, s2, c_read_h_owned) | m_processor_v_CMD(c_p2, s2, c_invalidate) | (~node36(c_p2, s2))),
% 51.22/33.86 inference(modus_ponens,[status(thm)],[27913, 27912])).
% 51.22/33.86 tff(27915,plain,
% 51.22/33.86 ($false),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27914, 359, 27706, 27908, 27907])).
% 51.22/33.86 tff(27916,plain,((~node36(c_p2, s2)) | m_processor_v_CMD(c_p2, s2, c_read_h_owned) | m_processor_v_CMD(c_p2, s2, c_invalidate)), inference(lemma,lemma(discharge,[]))).
% 51.22/33.86 tff(27917,plain,
% 51.22/33.86 ($false),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27916, 27906, 27902, 27890])).
% 51.22/33.86 tff(27918,plain,(m_processor_v_master(c_p2, s2) | m_processor_v_state(c_p2, s3, c_invalid) | (~m_processor_v_state(c_p2, s2, c_shared)) | m_processor_v_abort(c_p2, s2) | m_processor_v_state(c_p2, s3, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.22/33.86 tff(27919,plain,
% 51.22/33.86 (m_processor_v_master(c_p2, s2)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27918, 27882, 27719, 27788, 27672])).
% 51.22/33.86 tff(27920,plain,
% 51.22/33.86 (node16(s2)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[5207, 27919])).
% 51.22/33.86 tff(27921,plain,
% 51.22/33.86 (~m_processor_v_master(c_p0, s2)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27775, 27920])).
% 51.22/33.86 tff(27922,plain,
% 51.22/33.86 (m_processor_v_cmd(c_p0, s2, c_idle)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[5366, 27921])).
% 51.22/33.86 tff(27923,plain,
% 51.22/33.86 (m_main_v_CMD(s2, c_idle)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[16595, 27922, 5586, 5142])).
% 51.22/33.86 tff(27924,plain,
% 51.22/33.86 (~m_main_v_CMD(s2, c_write_h_resp_h_invalid)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[20778, 7663, 27923])).
% 51.22/33.86 tff(27925,plain,
% 51.22/33.86 (~m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_invalid)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27786, 21573, 27783, 27924])).
% 51.22/33.86 tff(27926,plain,
% 51.22/33.86 (node34(c_p2, s2, s3)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27795, 27919, 27788])).
% 51.22/33.86 tff(27927,plain,
% 51.22/33.86 (~m_processor_v_CMD(c_p2, s2, c_read_h_shared)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27802, 416, 27672, 27926])).
% 51.22/33.86 tff(27928,plain,
% 51.22/33.86 (~m_main_v_CMD(s2, c_write_h_invalid)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27806, 27273, 27923])).
% 51.22/33.86 tff(27929,plain,
% 51.22/33.86 (~m_processor_v_CMD(c_p2, s2, c_write_h_invalid)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27810, 21573, 27783, 27928])).
% 51.22/33.86 tff(27930,plain,
% 51.22/33.86 (~m_main_v_CMD(s2, c_write_h_shared)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27814, 27293, 27923])).
% 51.22/33.86 tff(27931,plain,
% 51.22/33.86 (~m_processor_v_CMD(c_p2, s2, c_write_h_shared)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27818, 21573, 27783, 27930])).
% 51.22/33.86 tff(27932,plain,
% 51.22/33.86 (~m_main_v_CMD(s2, c_write_h_resp_h_shared)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[20749, 7650, 27923])).
% 51.22/33.86 tff(27933,plain,
% 51.22/33.86 (~m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_shared)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27823, 21573, 27783, 27932])).
% 51.22/33.86 tff(27934,plain,
% 51.22/33.86 (~m_main_v_CMD(s2, c_read_h_owned)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[16539, 1971, 27923])).
% 51.22/33.86 tff(27935,plain,
% 51.22/33.86 (~m_processor_v_CMD(c_p2, s2, c_read_h_owned)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27828, 21573, 27783, 27934])).
% 51.22/33.86 tff(27936,plain,
% 51.22/33.86 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p2, s3, c_shared) | (~m_processor_v_state(c_p2, s2, c_shared)) | (~node33(c_p2, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p2, s3, c_shared) | (~m_processor_v_state(c_p2, s2, c_shared)) | (~node33(c_p2, s2, s3)))),
% 51.22/33.86 inference(rewrite,[status(thm)],[])).
% 51.22/33.86 tff(27937,plain,
% 51.22/33.86 (((~m_processor_v_state(c_p2, s2, c_shared)) | m_processor_v_state(c_p2, s3, c_shared) | (~node33(c_p2, s2, s3))) <=> (m_processor_v_state(c_p2, s3, c_shared) | (~m_processor_v_state(c_p2, s2, c_shared)) | (~node33(c_p2, s2, s3)))),
% 51.22/33.86 inference(rewrite,[status(thm)],[])).
% 51.22/33.86 tff(27938,plain,
% 51.22/33.86 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p2, s2, c_shared)) | m_processor_v_state(c_p2, s3, c_shared) | (~node33(c_p2, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p2, s3, c_shared) | (~m_processor_v_state(c_p2, s2, c_shared)) | (~node33(c_p2, s2, s3))))),
% 51.22/33.86 inference(monotonicity,[status(thm)],[27937])).
% 51.22/33.86 tff(27939,plain,
% 51.22/33.86 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p2, s2, c_shared)) | m_processor_v_state(c_p2, s3, c_shared) | (~node33(c_p2, s2, s3)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p2, s3, c_shared) | (~m_processor_v_state(c_p2, s2, c_shared)) | (~node33(c_p2, s2, s3)))),
% 51.22/33.86 inference(transitivity,[status(thm)],[27938, 27936])).
% 51.22/33.86 tff(27940,plain,
% 51.22/33.86 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p2, s2, c_shared)) | m_processor_v_state(c_p2, s3, c_shared) | (~node33(c_p2, s2, s3)))),
% 51.22/33.86 inference(quant_inst,[status(thm)],[])).
% 51.22/33.86 tff(27941,plain,
% 51.22/33.86 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p2, s3, c_shared) | (~m_processor_v_state(c_p2, s2, c_shared)) | (~node33(c_p2, s2, s3))),
% 51.22/33.86 inference(modus_ponens,[status(thm)],[27940, 27939])).
% 51.22/33.86 tff(27942,plain,
% 51.22/33.86 ($false),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27941, 399, 27751, 27673, 27836])).
% 51.22/33.86 tff(27943,plain,(m_processor_v_state(c_p2, s3, c_shared) | (~m_processor_v_state(c_p2, s2, c_shared)) | (~node33(c_p2, s2, s3))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.86 tff(27944,plain,
% 51.22/33.86 (~node33(c_p2, s2, s3)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27943, 27882, 27672])).
% 51.22/33.86 tff(27945,plain,
% 51.22/33.86 (m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s2, c_read_h_owned) | m_processor_v_CMD(c_p2, s2, c_write_h_shared) | m_processor_v_CMD(c_p2, s2, c_read_h_shared) | m_processor_v_CMD(c_p2, s2, c_write_h_invalid) | m_processor_v_CMD(c_p2, s2, c_write_h_resp_h_invalid)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27852, 474, 27926, 27944])).
% 51.22/33.86 tff(27946,plain,
% 51.22/33.86 ($false),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27945, 27935, 27933, 27931, 27929, 27927, 27925])).
% 51.22/33.86 tff(27947,plain,((~m_processor_v_cmd(c_p1, s2, c_idle)) | (~m_memory_v_cmd(c_m, s2, c_idle)) | m_processor_v_state(c_p2, s2, c_owned) | (~m_processor_v_state(c_p2, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.86 tff(27948,plain,
% 51.22/33.86 (~m_processor_v_cmd(c_p1, s2, c_idle)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27947, 27694, 5586, 27665])).
% 51.22/33.86 tff(27949,plain,
% 51.22/33.86 (m_processor_v_master(c_p1, s2)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[5564, 27948])).
% 51.22/33.86 tff(27950,plain,
% 51.22/33.86 (~node16(s2)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27859, 27949])).
% 51.22/33.86 tff(27951,plain,
% 51.22/33.86 (~m_processor_v_master(c_p2, s2)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[5207, 27950])).
% 51.22/33.86 tff(27952,plain,
% 51.22/33.86 (m_processor_v_state(c_p2, s2, c_shared)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27768, 27951, 27694, 27665])).
% 51.22/33.86 tff(27953,plain,
% 51.22/33.86 ($false),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27918, 27952, 27951, 27719, 27788, 27672])).
% 51.22/33.86 tff(27954,plain,(m_processor_v_state(c_p2, s2, c_owned) | (~m_processor_v_state(c_p2, s3, c_owned)) | (~m_memory_v_cmd(c_m, s2, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.86 tff(27955,plain,
% 51.22/33.86 (m_processor_v_state(c_p2, s2, c_owned)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27954, 5586, 27665])).
% 51.22/33.86 tff(27956,plain,
% 51.22/33.86 (~m_processor_v_master(c_p1, s1)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27578, 27863])).
% 51.22/33.86 tff(27957,plain,
% 51.22/33.86 (m_processor_v_cmd(c_p1, s1, c_idle)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[3335, 27956])).
% 51.22/33.86 tff(27958,plain,
% 51.22/33.86 (~m_main_v_CMD(s1, c_read_h_shared)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[8358, 27865, 27957])).
% 51.22/33.86 tff(27959,plain,
% 51.22/33.86 (~m_processor_v_CMD(c_p2, s1, c_read_h_shared)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27587, 21573, 27570, 27958])).
% 51.22/33.86 tff(27960,plain,
% 51.22/33.86 (~node17(s1)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[3678, 27862])).
% 51.22/33.86 tff(27961,plain,
% 51.22/33.86 (~m_memory_v_master(c_m, s1)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[3357, 27960])).
% 51.22/33.86 tff(27962,plain,
% 51.22/33.86 (~node29(c_m, s1)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[3365, 27961])).
% 51.22/33.86 tff(27963,plain,
% 51.22/33.86 (m_memory_v_cmd(c_m, s1, c_idle)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[3373, 27962])).
% 51.22/33.86 tff(27964,plain,
% 51.22/33.86 (~m_main_v_CMD(s1, c_read_h_owned)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[20325, 27865, 27957, 27963])).
% 51.22/33.86 tff(27965,plain,
% 51.22/33.86 (~m_processor_v_CMD(c_p2, s1, c_read_h_owned)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27617, 27964])).
% 51.22/33.86 tff(27966,plain,
% 51.22/33.86 (~m_main_v_CMD(s1, c_write_h_invalid)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27599, 27963, 27957, 27865])).
% 51.22/33.86 tff(27967,plain,
% 51.22/33.86 (~m_processor_v_CMD(c_p2, s1, c_write_h_invalid)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27606, 27966])).
% 51.22/33.86 tff(27968,plain,
% 51.22/33.86 (~m_processor_v_cmd(c_p0, s1, c_write_h_resp_h_invalid)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[20339, 4296, 27865])).
% 51.22/33.86 tff(27969,plain,
% 51.22/33.86 (~m_main_v_CMD(s1, c_write_h_resp_h_invalid)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[20361, 3644, 27871, 27968])).
% 51.22/33.86 tff(27970,plain,
% 51.22/33.86 (~m_processor_v_CMD(c_p2, s1, c_write_h_resp_h_invalid)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27575, 27969])).
% 51.22/33.86 tff(27971,plain,
% 51.22/33.86 (~node34(c_p2, s1, s2)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27649, 27970, 27967, 27965, 27959, 27955, 27881, 27878])).
% 51.22/33.86 tff(27972,plain,
% 51.22/33.86 (m_processor_v_abort(c_p2, s1)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27659, 27971, 27862])).
% 51.22/33.86 tff(27973,plain,
% 51.22/33.86 (node32(c_p2, s1, s2)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27502, 27972])).
% 51.22/33.86 tff(27974,plain,
% 51.22/33.86 (m_processor_v_state(c_p2, s2, c_invalid)),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27514, 27973])).
% 51.22/33.86 tff(27975,plain,
% 51.22/33.86 ($false),
% 51.22/33.86 inference(unit_resolution,[status(thm)],[27518, 137, 27955, 27974])).
% 51.22/33.86 tff(27976,plain,((~m_memory_v_cmd(c_m, s2, c_idle)) | (~m_processor_v_state(c_p2, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.87 tff(27977,plain,
% 51.22/33.87 (~m_memory_v_cmd(c_m, s2, c_idle)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[27976, 27665])).
% 51.22/33.87 tff(27978,plain,
% 51.22/33.87 (node29(c_m, s2)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[5195, 27977])).
% 51.22/33.87 tff(27979,plain,
% 51.22/33.87 (m_memory_v_master(c_m, s2)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[5187, 27978])).
% 51.22/33.87 tff(27980,plain,
% 51.22/33.87 (node17(s2)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[5179, 27979])).
% 51.22/33.87 tff(27981,plain,
% 51.22/33.87 (~m_processor_v_master(c_p2, s2)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[20891, 27980])).
% 51.22/33.87 tff(27982,plain,
% 51.22/33.87 (m_processor_v_state(c_p2, s2, c_shared)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[27768, 27694, 27981, 27665])).
% 51.22/33.87 tff(27983,plain,
% 51.22/33.87 ($false),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[27918, 27788, 27982, 27719, 27981, 27672])).
% 51.22/33.87 tff(27984,plain,(m_processor_v_state(c_p2, s2, c_owned) | (~m_processor_v_state(c_p2, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.87 tff(27985,plain,
% 51.22/33.87 (~m_processor_v_state(c_p2, s3, c_owned)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[27984, 27664])).
% 51.22/33.87 tff(27986,assumption,(node32(c_p2, s3, s4)), introduced(assumption)).
% 51.22/33.87 tff(27987,plain,
% 51.22/33.87 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p2, s3, c_owned) | (~m_processor_v_state(c_p2, s4, c_owned)) | (~node32(c_p2, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p2, s3, c_owned) | (~m_processor_v_state(c_p2, s4, c_owned)) | (~node32(c_p2, s3, s4)))),
% 51.22/33.87 inference(rewrite,[status(thm)],[])).
% 51.22/33.87 tff(27988,plain,
% 51.22/33.87 (((~node32(c_p2, s3, s4)) | m_processor_v_state(c_p2, s3, c_owned) | (~m_processor_v_state(c_p2, s4, c_owned))) <=> (m_processor_v_state(c_p2, s3, c_owned) | (~m_processor_v_state(c_p2, s4, c_owned)) | (~node32(c_p2, s3, s4)))),
% 51.22/33.87 inference(rewrite,[status(thm)],[])).
% 51.22/33.87 tff(27989,plain,
% 51.22/33.87 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p2, s3, s4)) | m_processor_v_state(c_p2, s3, c_owned) | (~m_processor_v_state(c_p2, s4, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p2, s3, c_owned) | (~m_processor_v_state(c_p2, s4, c_owned)) | (~node32(c_p2, s3, s4))))),
% 51.22/33.87 inference(monotonicity,[status(thm)],[27988])).
% 51.22/33.87 tff(27990,plain,
% 51.22/33.87 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p2, s3, s4)) | m_processor_v_state(c_p2, s3, c_owned) | (~m_processor_v_state(c_p2, s4, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p2, s3, c_owned) | (~m_processor_v_state(c_p2, s4, c_owned)) | (~node32(c_p2, s3, s4)))),
% 51.22/33.87 inference(transitivity,[status(thm)],[27989, 27987])).
% 51.22/33.87 tff(27991,plain,
% 51.22/33.87 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p2, s3, s4)) | m_processor_v_state(c_p2, s3, c_owned) | (~m_processor_v_state(c_p2, s4, c_owned)))),
% 51.22/33.87 inference(quant_inst,[status(thm)],[])).
% 51.22/33.87 tff(27992,plain,
% 51.22/33.87 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p2, s3, c_owned) | (~m_processor_v_state(c_p2, s4, c_owned)) | (~node32(c_p2, s3, s4))),
% 51.22/33.87 inference(modus_ponens,[status(thm)],[27991, 27990])).
% 51.22/33.87 tff(27993,plain,
% 51.22/33.87 ($false),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[27992, 261, 27209, 27986, 27750])).
% 51.22/33.87 tff(27994,plain,((~m_processor_v_state(c_p2, s4, c_owned)) | (~node32(c_p2, s3, s4)) | m_processor_v_state(c_p2, s3, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.22/33.87 tff(27995,plain,
% 51.22/33.87 ((~m_processor_v_state(c_p2, s4, c_owned)) | (~node32(c_p2, s3, s4))),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[27994, 27985])).
% 51.22/33.87 tff(27996,plain,
% 51.22/33.87 (~node32(c_p2, s3, s4)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[27995, 27209])).
% 51.22/33.87 tff(27997,assumption,(m_processor_v_state(c_p2, s4, c_invalid)), introduced(assumption)).
% 51.22/33.87 tff(27998,plain,
% 51.22/33.87 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p2, s4, c_invalid)) | (~m_processor_v_state(c_p2, s4, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p2, s4, c_invalid)) | (~m_processor_v_state(c_p2, s4, c_owned)))),
% 51.22/33.87 inference(rewrite,[status(thm)],[])).
% 51.22/33.87 tff(27999,plain,
% 51.22/33.87 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p2, s4, c_invalid)) | (~m_processor_v_state(c_p2, s4, c_owned)))),
% 51.22/33.87 inference(quant_inst,[status(thm)],[])).
% 51.22/33.87 tff(28000,plain,
% 51.22/33.87 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p2, s4, c_invalid)) | (~m_processor_v_state(c_p2, s4, c_owned))),
% 51.22/33.87 inference(modus_ponens,[status(thm)],[27999, 27998])).
% 51.22/33.87 tff(28001,plain,
% 51.22/33.87 ($false),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[28000, 137, 27209, 27997])).
% 51.22/33.87 tff(28002,plain,((~m_processor_v_state(c_p2, s4, c_invalid)) | (~m_processor_v_state(c_p2, s4, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.87 tff(28003,plain,
% 51.22/33.87 (~m_processor_v_state(c_p2, s4, c_invalid)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[28002, 27209])).
% 51.22/33.87 tff(28004,assumption,(m_processor_v_state(c_p2, s4, c_shared)), introduced(assumption)).
% 51.22/33.87 tff(28005,plain,
% 51.22/33.87 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p2, s4, c_owned)) | (~m_processor_v_state(c_p2, s4, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p2, s4, c_owned)) | (~m_processor_v_state(c_p2, s4, c_shared)))),
% 51.22/33.87 inference(rewrite,[status(thm)],[])).
% 51.22/33.87 tff(28006,plain,
% 51.22/33.87 (((~m_processor_v_state(c_p2, s4, c_shared)) | (~m_processor_v_state(c_p2, s4, c_owned))) <=> ((~m_processor_v_state(c_p2, s4, c_owned)) | (~m_processor_v_state(c_p2, s4, c_shared)))),
% 51.22/33.87 inference(rewrite,[status(thm)],[])).
% 51.22/33.87 tff(28007,plain,
% 51.22/33.87 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p2, s4, c_shared)) | (~m_processor_v_state(c_p2, s4, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p2, s4, c_owned)) | (~m_processor_v_state(c_p2, s4, c_shared))))),
% 51.22/33.87 inference(monotonicity,[status(thm)],[28006])).
% 51.22/33.87 tff(28008,plain,
% 51.22/33.87 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p2, s4, c_shared)) | (~m_processor_v_state(c_p2, s4, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p2, s4, c_owned)) | (~m_processor_v_state(c_p2, s4, c_shared)))),
% 51.22/33.87 inference(transitivity,[status(thm)],[28007, 28005])).
% 51.22/33.87 tff(28009,plain,
% 51.22/33.87 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | ((~m_processor_v_state(c_p2, s4, c_shared)) | (~m_processor_v_state(c_p2, s4, c_owned)))),
% 51.22/33.87 inference(quant_inst,[status(thm)],[])).
% 51.22/33.87 tff(28010,plain,
% 51.22/33.87 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | (~m_processor_v_state(I0, X, c_owned)))) | (~m_processor_v_state(c_p2, s4, c_owned)) | (~m_processor_v_state(c_p2, s4, c_shared))),
% 51.22/33.87 inference(modus_ponens,[status(thm)],[28009, 28008])).
% 51.22/33.87 tff(28011,plain,
% 51.22/33.87 ($false),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[28010, 121, 28004, 27209])).
% 51.22/33.87 tff(28012,plain,((~m_processor_v_state(c_p2, s4, c_shared)) | (~m_processor_v_state(c_p2, s4, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.87 tff(28013,plain,
% 51.22/33.87 (~m_processor_v_state(c_p2, s4, c_shared)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[28012, 27209])).
% 51.22/33.87 tff(28014,assumption,(~m_processor_v_abort(c_p2, s3)), introduced(assumption)).
% 51.22/33.87 tff(28015,assumption,(node37(c_p2, s3, s4)), introduced(assumption)).
% 51.22/33.87 tff(28016,plain,
% 51.22/33.87 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p2, s3, c_owned) | (~m_processor_v_state(c_p2, s4, c_owned)) | (~node37(c_p2, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p2, s3, c_owned) | (~m_processor_v_state(c_p2, s4, c_owned)) | (~node37(c_p2, s3, s4)))),
% 51.22/33.87 inference(rewrite,[status(thm)],[])).
% 51.22/33.87 tff(28017,plain,
% 51.22/33.87 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p2, s3, c_owned) | (~m_processor_v_state(c_p2, s4, c_owned)) | (~node37(c_p2, s3, s4)))),
% 51.22/33.87 inference(quant_inst,[status(thm)],[])).
% 51.22/33.87 tff(28018,plain,
% 51.22/33.87 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p2, s3, c_owned) | (~m_processor_v_state(c_p2, s4, c_owned)) | (~node37(c_p2, s3, s4))),
% 51.22/33.87 inference(modus_ponens,[status(thm)],[28017, 28016])).
% 51.22/33.87 tff(28019,plain,
% 51.22/33.87 ($false),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[28018, 182, 27209, 28015, 27750])).
% 51.22/33.87 tff(28020,plain,((~m_processor_v_state(c_p2, s4, c_owned)) | (~node37(c_p2, s3, s4)) | m_processor_v_state(c_p2, s3, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.22/33.87 tff(28021,plain,
% 51.22/33.87 (~node37(c_p2, s3, s4)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[28020, 27750, 27209])).
% 51.22/33.87 tff(28022,assumption,(~node37(c_p2, s3, s4)), introduced(assumption)).
% 51.22/33.87 tff(28023,plain,
% 51.22/33.87 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s3, s4)) | node38(c_p2, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s3, s4)) | node38(c_p2, s3, s4))),
% 51.22/33.87 inference(rewrite,[status(thm)],[])).
% 51.22/33.87 tff(28024,plain,
% 51.22/33.87 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | ((~trans(s3, s4)) | node38(c_p2, s3, s4))),
% 51.22/33.87 inference(quant_inst,[status(thm)],[])).
% 51.22/33.87 tff(28025,plain,
% 51.22/33.87 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node38(I0, X, Y))) | (~trans(s3, s4)) | node38(c_p2, s3, s4)),
% 51.22/33.87 inference(modus_ponens,[status(thm)],[28024, 28023])).
% 51.22/33.87 tff(28026,plain,
% 51.22/33.87 (node38(c_p2, s3, s4)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[28025, 210, 6623])).
% 51.22/33.87 tff(28027,plain,
% 51.22/33.87 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~node38(c_p2, s3, s4)) | m_processor_v_master(c_p2, s3) | m_processor_v_state(c_p2, s3, c_shared) | node36(c_p2, s3) | m_processor_v_abort(c_p2, s3) | node37(c_p2, s3, s4))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~node38(c_p2, s3, s4)) | m_processor_v_master(c_p2, s3) | m_processor_v_state(c_p2, s3, c_shared) | node36(c_p2, s3) | m_processor_v_abort(c_p2, s3) | node37(c_p2, s3, s4))),
% 51.22/33.87 inference(rewrite,[status(thm)],[])).
% 51.22/33.87 tff(28028,plain,
% 51.22/33.87 ((m_processor_v_state(c_p2, s3, c_shared) | node36(c_p2, s3) | m_processor_v_master(c_p2, s3) | node37(c_p2, s3, s4) | (~node38(c_p2, s3, s4)) | m_processor_v_abort(c_p2, s3)) <=> ((~node38(c_p2, s3, s4)) | m_processor_v_master(c_p2, s3) | m_processor_v_state(c_p2, s3, c_shared) | node36(c_p2, s3) | m_processor_v_abort(c_p2, s3) | node37(c_p2, s3, s4))),
% 51.22/33.87 inference(rewrite,[status(thm)],[])).
% 51.22/33.87 tff(28029,plain,
% 51.22/33.87 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p2, s3, c_shared) | node36(c_p2, s3) | m_processor_v_master(c_p2, s3) | node37(c_p2, s3, s4) | (~node38(c_p2, s3, s4)) | m_processor_v_abort(c_p2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~node38(c_p2, s3, s4)) | m_processor_v_master(c_p2, s3) | m_processor_v_state(c_p2, s3, c_shared) | node36(c_p2, s3) | m_processor_v_abort(c_p2, s3) | node37(c_p2, s3, s4)))),
% 51.22/33.87 inference(monotonicity,[status(thm)],[28028])).
% 51.22/33.87 tff(28030,plain,
% 51.22/33.87 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p2, s3, c_shared) | node36(c_p2, s3) | m_processor_v_master(c_p2, s3) | node37(c_p2, s3, s4) | (~node38(c_p2, s3, s4)) | m_processor_v_abort(c_p2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~node38(c_p2, s3, s4)) | m_processor_v_master(c_p2, s3) | m_processor_v_state(c_p2, s3, c_shared) | node36(c_p2, s3) | m_processor_v_abort(c_p2, s3) | node37(c_p2, s3, s4))),
% 51.22/33.87 inference(transitivity,[status(thm)],[28029, 28027])).
% 51.22/33.87 tff(28031,plain,
% 51.22/33.87 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (m_processor_v_state(c_p2, s3, c_shared) | node36(c_p2, s3) | m_processor_v_master(c_p2, s3) | node37(c_p2, s3, s4) | (~node38(c_p2, s3, s4)) | m_processor_v_abort(c_p2, s3))),
% 51.22/33.87 inference(quant_inst,[status(thm)],[])).
% 51.22/33.87 tff(28032,plain,
% 51.22/33.87 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | node36(I0, X) | m_processor_v_master(I0, X) | node37(I0, X, Y) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~node38(c_p2, s3, s4)) | m_processor_v_master(c_p2, s3) | m_processor_v_state(c_p2, s3, c_shared) | node36(c_p2, s3) | m_processor_v_abort(c_p2, s3) | node37(c_p2, s3, s4)),
% 51.22/33.87 inference(modus_ponens,[status(thm)],[28031, 28030])).
% 51.22/33.87 tff(28033,plain,
% 51.22/33.87 (m_processor_v_master(c_p2, s3) | m_processor_v_state(c_p2, s3, c_shared) | node36(c_p2, s3) | m_processor_v_abort(c_p2, s3) | node37(c_p2, s3, s4)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[28032, 225, 28026])).
% 51.22/33.87 tff(28034,plain,
% 51.22/33.87 (node36(c_p2, s3)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[28033, 27751, 28014, 28022, 9564])).
% 51.22/33.87 tff(28035,plain,
% 51.22/33.87 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p2, s3, c_shared) | (~node36(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p2, s3, c_shared) | (~node36(c_p2, s3)))),
% 51.22/33.87 inference(rewrite,[status(thm)],[])).
% 51.22/33.87 tff(28036,plain,
% 51.22/33.87 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | (m_processor_v_state(c_p2, s3, c_shared) | (~node36(c_p2, s3)))),
% 51.22/33.87 inference(quant_inst,[status(thm)],[])).
% 51.22/33.87 tff(28037,plain,
% 51.22/33.87 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_shared) | (~node36(I0, X)))) | m_processor_v_state(c_p2, s3, c_shared) | (~node36(c_p2, s3))),
% 51.22/33.87 inference(modus_ponens,[status(thm)],[28036, 28035])).
% 51.22/33.87 tff(28038,plain,
% 51.22/33.87 ($false),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[28037, 167, 27751, 28034])).
% 51.22/33.87 tff(28039,plain,(m_processor_v_state(c_p2, s3, c_shared) | m_processor_v_abort(c_p2, s3) | node37(c_p2, s3, s4) | m_processor_v_master(c_p2, s3)), inference(lemma,lemma(discharge,[]))).
% 51.22/33.87 tff(28040,plain,
% 51.22/33.87 (m_processor_v_master(c_p2, s3)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[28039, 28021, 28014, 27751])).
% 51.22/33.87 tff(28041,plain,
% 51.22/33.87 (node16(s3)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[9562, 28040])).
% 51.22/33.87 tff(28042,plain,
% 51.22/33.87 (~m_processor_v_master(c_p1, s3)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[10569, 3386, 28041])).
% 51.22/33.87 tff(28043,plain,
% 51.22/33.87 (m_processor_v_cmd(c_p1, s3, c_idle)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[9478, 28042])).
% 51.22/33.87 tff(28044,plain,
% 51.22/33.87 (~node17(s3)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[10111, 28040])).
% 51.22/33.87 tff(28045,plain,
% 51.22/33.87 (~m_memory_v_master(c_m, s3)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[9494, 28044])).
% 51.22/33.87 tff(28046,plain,
% 51.22/33.87 (~node29(c_m, s3)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[9502, 28045])).
% 51.22/33.87 tff(28047,plain,
% 51.22/33.87 (m_memory_v_cmd(c_m, s3, c_idle)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[9510, 28046])).
% 51.22/33.87 tff(28048,plain,
% 51.22/33.87 (~m_processor_v_master(c_p0, s3)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[9554, 1530, 28041])).
% 51.22/33.87 tff(28049,plain,
% 51.22/33.87 (m_processor_v_cmd(c_p0, s3, c_idle)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[10144, 28048])).
% 51.22/33.87 tff(28050,plain,
% 51.22/33.87 (m_main_v_CMD(s3, c_idle)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[11516, 28049, 28047, 28043])).
% 51.22/33.87 tff(28051,plain,
% 51.22/33.87 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_shared)))) | ((~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_write_h_shared)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_shared)))) | (~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_write_h_shared)))),
% 51.22/33.87 inference(rewrite,[status(thm)],[])).
% 51.22/33.87 tff(28052,plain,
% 51.22/33.87 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_shared)))) | ((~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_write_h_shared)))),
% 51.22/33.87 inference(quant_inst,[status(thm)],[])).
% 51.22/33.87 tff(28053,plain,
% 51.22/33.87 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_shared)))) | (~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_write_h_shared))),
% 51.22/33.87 inference(modus_ponens,[status(thm)],[28052, 28051])).
% 51.22/33.87 tff(28054,plain,
% 51.22/33.87 (~m_main_v_CMD(s3, c_write_h_shared)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[28053, 27293, 28050])).
% 51.22/33.87 tff(28055,plain,
% 51.22/33.87 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s3, c_write_h_shared) | (~node4(s3)) | (~m_processor_v_CMD(c_p2, s3, c_write_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s3, c_write_h_shared) | (~node4(s3)) | (~m_processor_v_CMD(c_p2, s3, c_write_h_shared)))),
% 51.22/33.87 inference(rewrite,[status(thm)],[])).
% 51.22/33.87 tff(28056,plain,
% 51.22/33.87 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s3, c_write_h_shared) | (~node4(s3)) | (~m_processor_v_CMD(c_p2, s3, c_write_h_shared)))),
% 51.22/33.87 inference(quant_inst,[status(thm)],[])).
% 51.22/33.87 tff(28057,plain,
% 51.22/33.87 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s3, c_write_h_shared) | (~node4(s3)) | (~m_processor_v_CMD(c_p2, s3, c_write_h_shared))),
% 51.22/33.87 inference(modus_ponens,[status(thm)],[28056, 28055])).
% 51.22/33.87 tff(28058,plain,
% 51.22/33.87 (~m_processor_v_CMD(c_p2, s3, c_write_h_shared)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[28057, 21573, 21563, 28054])).
% 51.22/33.87 tff(28059,plain,
% 51.22/33.87 (((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_write_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_write_h_invalid)))),
% 51.22/33.87 inference(rewrite,[status(thm)],[])).
% 51.22/33.87 tff(28060,plain,
% 51.22/33.87 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_write_h_invalid)))),
% 51.22/33.87 inference(quant_inst,[status(thm)],[])).
% 51.22/33.87 tff(28061,plain,
% 51.22/33.87 ((~![X: $i] : ((~m_main_v_CMD(X, c_idle)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s3, c_idle)) | (~m_main_v_CMD(s3, c_write_h_invalid))),
% 51.22/33.87 inference(modus_ponens,[status(thm)],[28060, 28059])).
% 51.22/33.87 tff(28062,plain,
% 51.22/33.87 (~m_main_v_CMD(s3, c_write_h_invalid)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[28061, 27273, 28050])).
% 51.22/33.87 tff(28063,plain,
% 51.22/33.87 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s3, c_write_h_invalid) | (~node4(s3)) | (~m_processor_v_CMD(c_p2, s3, c_write_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s3, c_write_h_invalid) | (~node4(s3)) | (~m_processor_v_CMD(c_p2, s3, c_write_h_invalid)))),
% 51.22/33.87 inference(rewrite,[status(thm)],[])).
% 51.22/33.87 tff(28064,plain,
% 51.22/33.87 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s3, c_write_h_invalid) | (~node4(s3)) | (~m_processor_v_CMD(c_p2, s3, c_write_h_invalid)))),
% 51.22/33.87 inference(quant_inst,[status(thm)],[])).
% 51.22/33.87 tff(28065,plain,
% 51.22/33.87 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s3, c_write_h_invalid) | (~node4(s3)) | (~m_processor_v_CMD(c_p2, s3, c_write_h_invalid))),
% 51.22/33.87 inference(modus_ponens,[status(thm)],[28064, 28063])).
% 51.22/33.87 tff(28066,plain,
% 51.22/33.87 (~m_processor_v_CMD(c_p2, s3, c_write_h_invalid)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[28065, 21573, 28062, 21563])).
% 51.22/33.87 tff(28067,plain,
% 51.22/33.87 (~m_main_v_CMD(s3, c_write_h_resp_h_shared)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[11535, 7650, 28050])).
% 51.22/33.87 tff(28068,plain,
% 51.22/33.87 (~m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_shared)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[21576, 21573, 21563, 28067])).
% 51.22/33.87 tff(28069,plain,
% 51.22/33.87 (~m_main_v_CMD(s3, c_read_h_owned)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[11978, 1971, 28050])).
% 51.22/33.87 tff(28070,plain,
% 51.22/33.87 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | ((~node4(s3)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_processor_v_CMD(c_p2, s3, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (~node4(s3)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_processor_v_CMD(c_p2, s3, c_read_h_owned)))),
% 51.22/33.87 inference(rewrite,[status(thm)],[])).
% 51.22/33.87 tff(28071,plain,
% 51.22/33.87 ((m_main_v_CMD(s3, c_read_h_owned) | (~node4(s3)) | (~m_processor_v_CMD(c_p2, s3, c_read_h_owned))) <=> ((~node4(s3)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_processor_v_CMD(c_p2, s3, c_read_h_owned)))),
% 51.22/33.87 inference(rewrite,[status(thm)],[])).
% 51.22/33.87 tff(28072,plain,
% 51.22/33.87 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s3, c_read_h_owned) | (~node4(s3)) | (~m_processor_v_CMD(c_p2, s3, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | ((~node4(s3)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_processor_v_CMD(c_p2, s3, c_read_h_owned))))),
% 51.22/33.87 inference(monotonicity,[status(thm)],[28071])).
% 51.22/33.87 tff(28073,plain,
% 51.22/33.87 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s3, c_read_h_owned) | (~node4(s3)) | (~m_processor_v_CMD(c_p2, s3, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (~node4(s3)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_processor_v_CMD(c_p2, s3, c_read_h_owned)))),
% 51.22/33.87 inference(transitivity,[status(thm)],[28072, 28070])).
% 51.22/33.87 tff(28074,plain,
% 51.22/33.87 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s3, c_read_h_owned) | (~node4(s3)) | (~m_processor_v_CMD(c_p2, s3, c_read_h_owned)))),
% 51.22/33.87 inference(quant_inst,[status(thm)],[])).
% 51.22/33.87 tff(28075,plain,
% 51.22/33.87 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (~node4(s3)) | m_main_v_CMD(s3, c_read_h_owned) | (~m_processor_v_CMD(c_p2, s3, c_read_h_owned))),
% 51.22/33.87 inference(modus_ponens,[status(thm)],[28074, 28073])).
% 51.22/33.87 tff(28076,plain,
% 51.22/33.87 (~m_processor_v_CMD(c_p2, s3, c_read_h_owned)),
% 51.22/33.87 inference(unit_resolution,[status(thm)],[28075, 21573, 28069, 21563])).
% 51.22/33.87 tff(28077,plain,
% 51.22/33.87 (m_processor_v_state(c_p2, s3, c_invalid)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[27756, 27750, 27751])).
% 51.22/33.88 tff(28078,plain,
% 51.22/33.88 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p2, s3, c_invalid)) | (~m_processor_v_state(c_p2, s3, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p2, s3, c_invalid)) | (~m_processor_v_state(c_p2, s3, c_shared)))),
% 51.22/33.88 inference(rewrite,[status(thm)],[])).
% 51.22/33.88 tff(28079,plain,
% 51.22/33.88 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p2, s3, c_invalid)) | (~m_processor_v_state(c_p2, s3, c_shared)))),
% 51.22/33.88 inference(quant_inst,[status(thm)],[])).
% 51.22/33.88 tff(28080,plain,
% 51.22/33.88 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p2, s3, c_invalid)) | (~m_processor_v_state(c_p2, s3, c_shared))),
% 51.22/33.88 inference(modus_ponens,[status(thm)],[28079, 28078])).
% 51.22/33.88 tff(28081,plain,
% 51.22/33.88 (~m_processor_v_state(c_p2, s3, c_shared)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[28080, 977, 27713])).
% 51.22/33.88 tff(28082,plain,
% 51.22/33.88 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p2, s3, c_shared) | (~m_processor_v_state(c_p2, s4, c_shared)) | (~node37(c_p2, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p2, s3, c_shared) | (~m_processor_v_state(c_p2, s4, c_shared)) | (~node37(c_p2, s3, s4)))),
% 51.22/33.88 inference(rewrite,[status(thm)],[])).
% 51.22/33.88 tff(28083,plain,
% 51.22/33.88 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | (m_processor_v_state(c_p2, s3, c_shared) | (~m_processor_v_state(c_p2, s4, c_shared)) | (~node37(c_p2, s3, s4)))),
% 51.22/33.88 inference(quant_inst,[status(thm)],[])).
% 51.22/33.88 tff(28084,plain,
% 51.22/33.88 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node37(I0, X, Y)))) | m_processor_v_state(c_p2, s3, c_shared) | (~m_processor_v_state(c_p2, s4, c_shared)) | (~node37(c_p2, s3, s4))),
% 51.22/33.88 inference(modus_ponens,[status(thm)],[28083, 28082])).
% 51.22/33.88 tff(28085,plain,
% 51.22/33.88 ($false),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[28084, 182, 27751, 28004, 28015])).
% 51.22/33.88 tff(28086,plain,((~m_processor_v_state(c_p2, s4, c_shared)) | m_processor_v_state(c_p2, s3, c_shared) | (~node37(c_p2, s3, s4))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.88 tff(28087,plain,
% 51.22/33.88 (~node37(c_p2, s3, s4)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[28086, 28004, 28081])).
% 51.22/33.88 tff(28088,plain,
% 51.22/33.88 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p2, s4, c_invalid)) | (~m_processor_v_state(c_p2, s4, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p2, s4, c_invalid)) | (~m_processor_v_state(c_p2, s4, c_shared)))),
% 51.22/33.88 inference(rewrite,[status(thm)],[])).
% 51.22/33.88 tff(28089,plain,
% 51.22/33.88 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | ((~m_processor_v_state(c_p2, s4, c_invalid)) | (~m_processor_v_state(c_p2, s4, c_shared)))),
% 51.22/33.88 inference(quant_inst,[status(thm)],[])).
% 51.22/33.88 tff(28090,plain,
% 51.22/33.88 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_invalid)) | (~m_processor_v_state(I0, X, c_shared)))) | (~m_processor_v_state(c_p2, s4, c_invalid)) | (~m_processor_v_state(c_p2, s4, c_shared))),
% 51.22/33.88 inference(modus_ponens,[status(thm)],[28089, 28088])).
% 51.22/33.88 tff(28091,plain,
% 51.22/33.88 ($false),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[28090, 977, 28004, 27997])).
% 51.22/33.88 tff(28092,plain,((~m_processor_v_state(c_p2, s4, c_invalid)) | (~m_processor_v_state(c_p2, s4, c_shared))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.88 tff(28093,plain,
% 51.22/33.88 (~m_processor_v_state(c_p2, s4, c_invalid)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[28092, 28004])).
% 51.22/33.88 tff(28094,assumption,(~m_processor_v_state(c_p2, s4, c_invalid)), introduced(assumption)).
% 51.22/33.88 tff(28095,plain,
% 51.22/33.88 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (m_processor_v_state(c_p2, s4, c_invalid) | (~m_processor_v_state(c_p2, s3, c_invalid)) | (~node32(c_p2, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | m_processor_v_state(c_p2, s4, c_invalid) | (~m_processor_v_state(c_p2, s3, c_invalid)) | (~node32(c_p2, s3, s4)))),
% 51.22/33.88 inference(rewrite,[status(thm)],[])).
% 51.22/33.88 tff(28096,plain,
% 51.22/33.88 (((~node32(c_p2, s3, s4)) | (~m_processor_v_state(c_p2, s3, c_invalid)) | m_processor_v_state(c_p2, s4, c_invalid)) <=> (m_processor_v_state(c_p2, s4, c_invalid) | (~m_processor_v_state(c_p2, s3, c_invalid)) | (~node32(c_p2, s3, s4)))),
% 51.22/33.88 inference(rewrite,[status(thm)],[])).
% 51.22/33.88 tff(28097,plain,
% 51.22/33.88 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p2, s3, s4)) | (~m_processor_v_state(c_p2, s3, c_invalid)) | m_processor_v_state(c_p2, s4, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (m_processor_v_state(c_p2, s4, c_invalid) | (~m_processor_v_state(c_p2, s3, c_invalid)) | (~node32(c_p2, s3, s4))))),
% 51.22/33.88 inference(monotonicity,[status(thm)],[28096])).
% 51.22/33.88 tff(28098,plain,
% 51.22/33.88 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p2, s3, s4)) | (~m_processor_v_state(c_p2, s3, c_invalid)) | m_processor_v_state(c_p2, s4, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | m_processor_v_state(c_p2, s4, c_invalid) | (~m_processor_v_state(c_p2, s3, c_invalid)) | (~node32(c_p2, s3, s4)))),
% 51.22/33.88 inference(transitivity,[status(thm)],[28097, 28095])).
% 51.22/33.88 tff(28099,plain,
% 51.22/33.88 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p2, s3, s4)) | (~m_processor_v_state(c_p2, s3, c_invalid)) | m_processor_v_state(c_p2, s4, c_invalid))),
% 51.22/33.88 inference(quant_inst,[status(thm)],[])).
% 51.22/33.88 tff(28100,plain,
% 51.22/33.88 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | m_processor_v_state(c_p2, s4, c_invalid) | (~m_processor_v_state(c_p2, s3, c_invalid)) | (~node32(c_p2, s3, s4))),
% 51.22/33.88 inference(modus_ponens,[status(thm)],[28099, 28098])).
% 51.22/33.88 tff(28101,plain,
% 51.22/33.88 ($false),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[28100, 380, 28094, 27986, 27713])).
% 51.22/33.88 tff(28102,plain,((~node32(c_p2, s3, s4)) | m_processor_v_state(c_p2, s4, c_invalid) | (~m_processor_v_state(c_p2, s3, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.88 tff(28103,plain,
% 51.22/33.88 (~node32(c_p2, s3, s4)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[28102, 28093, 27713])).
% 51.22/33.88 tff(28104,plain,
% 51.22/33.88 (((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p2, s3, s4) | (~node38(c_p2, s3, s4)) | (~m_processor_v_abort(c_p2, s3)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p2, s3, s4) | (~node38(c_p2, s3, s4)) | (~m_processor_v_abort(c_p2, s3)))),
% 51.22/33.88 inference(rewrite,[status(thm)],[])).
% 51.22/33.88 tff(28105,plain,
% 51.22/33.88 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | (node32(c_p2, s3, s4) | (~node38(c_p2, s3, s4)) | (~m_processor_v_abort(c_p2, s3)))),
% 51.22/33.88 inference(quant_inst,[status(thm)],[])).
% 51.22/33.88 tff(28106,plain,
% 51.22/33.88 ((~![Y: $i, I0: $i, X: $i] : (node32(I0, X, Y) | (~node38(I0, X, Y)) | (~m_processor_v_abort(I0, X)))) | node32(c_p2, s3, s4) | (~node38(c_p2, s3, s4)) | (~m_processor_v_abort(c_p2, s3))),
% 51.22/33.88 inference(modus_ponens,[status(thm)],[28105, 28104])).
% 51.22/33.88 tff(28107,plain,
% 51.22/33.88 (node32(c_p2, s3, s4) | (~m_processor_v_abort(c_p2, s3))),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[28106, 243, 28026])).
% 51.22/33.88 tff(28108,plain,
% 51.22/33.88 (~m_processor_v_abort(c_p2, s3)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[28107, 28103])).
% 51.22/33.88 tff(28109,plain,
% 51.22/33.88 (m_processor_v_master(c_p2, s3)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[28039, 28108, 28087, 28081])).
% 51.22/33.88 tff(28110,plain,
% 51.22/33.88 (node16(s3)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[9562, 28109])).
% 51.22/33.88 tff(28111,plain,
% 51.22/33.88 (~node17(s3)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[10111, 28109])).
% 51.22/33.88 tff(28112,plain,
% 51.22/33.88 (~m_memory_v_master(c_m, s3)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[9494, 28111])).
% 51.22/33.88 tff(28113,plain,
% 51.22/33.88 (~node29(c_m, s3)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[9502, 28112])).
% 51.22/33.88 tff(28114,plain,
% 51.22/33.88 (m_memory_v_cmd(c_m, s3, c_idle)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[9510, 28113])).
% 51.22/33.88 tff(28115,plain,
% 51.22/33.88 (m_main_v_CMD(s3, c_idle)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[11516, 28114, 10791, 9596])).
% 51.22/33.88 tff(28116,plain,
% 51.22/33.88 (~m_main_v_CMD(s3, c_write_h_shared)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[28053, 27293, 28115])).
% 51.22/33.88 tff(28117,plain,
% 51.22/33.88 (~m_processor_v_CMD(c_p2, s3, c_write_h_shared)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[28057, 21573, 21563, 28116])).
% 51.22/33.88 tff(28118,plain,
% 51.22/33.88 (~m_main_v_CMD(s3, c_write_h_invalid)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[28061, 27273, 28115])).
% 51.22/33.88 tff(28119,plain,
% 51.22/33.88 (~m_processor_v_CMD(c_p2, s3, c_write_h_invalid)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[28065, 21573, 28118, 21563])).
% 51.22/33.88 tff(28120,plain,
% 51.22/33.88 (~m_main_v_CMD(s3, c_read_h_owned)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[11978, 1971, 28115])).
% 51.22/33.88 tff(28121,plain,
% 51.22/33.88 (~m_processor_v_CMD(c_p2, s3, c_read_h_owned)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[28075, 21573, 28120, 21563])).
% 51.22/33.88 tff(28122,plain,
% 51.22/33.88 (~m_main_v_CMD(s3, c_read_h_shared)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[11373, 8277, 28115])).
% 51.22/33.88 tff(28123,plain,
% 51.22/33.88 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | ((~node4(s3)) | m_main_v_CMD(s3, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s3, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (~node4(s3)) | m_main_v_CMD(s3, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s3, c_read_h_shared)))),
% 51.22/33.88 inference(rewrite,[status(thm)],[])).
% 51.22/33.88 tff(28124,plain,
% 51.22/33.88 ((m_main_v_CMD(s3, c_read_h_shared) | (~node4(s3)) | (~m_processor_v_CMD(c_p2, s3, c_read_h_shared))) <=> ((~node4(s3)) | m_main_v_CMD(s3, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s3, c_read_h_shared)))),
% 51.22/33.88 inference(rewrite,[status(thm)],[])).
% 51.22/33.88 tff(28125,plain,
% 51.22/33.88 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s3, c_read_h_shared) | (~node4(s3)) | (~m_processor_v_CMD(c_p2, s3, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | ((~node4(s3)) | m_main_v_CMD(s3, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s3, c_read_h_shared))))),
% 51.22/33.88 inference(monotonicity,[status(thm)],[28124])).
% 51.22/33.88 tff(28126,plain,
% 51.22/33.88 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s3, c_read_h_shared) | (~node4(s3)) | (~m_processor_v_CMD(c_p2, s3, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (~node4(s3)) | m_main_v_CMD(s3, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s3, c_read_h_shared)))),
% 51.22/33.88 inference(transitivity,[status(thm)],[28125, 28123])).
% 51.22/33.88 tff(28127,plain,
% 51.22/33.88 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s3, c_read_h_shared) | (~node4(s3)) | (~m_processor_v_CMD(c_p2, s3, c_read_h_shared)))),
% 51.22/33.88 inference(quant_inst,[status(thm)],[])).
% 51.22/33.88 tff(28128,plain,
% 51.22/33.88 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (~node4(s3)) | m_main_v_CMD(s3, c_read_h_shared) | (~m_processor_v_CMD(c_p2, s3, c_read_h_shared))),
% 51.22/33.88 inference(modus_ponens,[status(thm)],[28127, 28126])).
% 51.22/33.88 tff(28129,plain,
% 51.22/33.88 (~m_processor_v_CMD(c_p2, s3, c_read_h_shared)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[28128, 21573, 28122, 21563])).
% 51.22/33.88 tff(28130,plain,
% 51.22/33.88 (~m_main_v_CMD(s3, c_write_h_resp_h_shared)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[11535, 7650, 28115])).
% 51.22/33.88 tff(28131,plain,
% 51.22/33.88 (~m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_shared)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[21576, 21573, 21563, 28130])).
% 51.22/33.88 tff(28132,plain,
% 51.22/33.88 (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[11586, 7663, 28115])).
% 51.22/33.88 tff(28133,plain,
% 51.22/33.88 (~m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[21585, 21573, 28132, 21563])).
% 51.22/33.88 tff(28134,plain,
% 51.22/33.88 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p2, s4, c_invalid) | (~m_processor_v_state(c_p2, s3, c_invalid)) | (~node33(c_p2, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p2, s4, c_invalid) | (~m_processor_v_state(c_p2, s3, c_invalid)) | (~node33(c_p2, s3, s4)))),
% 51.22/33.88 inference(rewrite,[status(thm)],[])).
% 51.22/33.88 tff(28135,plain,
% 51.22/33.88 (((~m_processor_v_state(c_p2, s3, c_invalid)) | m_processor_v_state(c_p2, s4, c_invalid) | (~node33(c_p2, s3, s4))) <=> (m_processor_v_state(c_p2, s4, c_invalid) | (~m_processor_v_state(c_p2, s3, c_invalid)) | (~node33(c_p2, s3, s4)))),
% 51.22/33.88 inference(rewrite,[status(thm)],[])).
% 51.22/33.88 tff(28136,plain,
% 51.22/33.88 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p2, s3, c_invalid)) | m_processor_v_state(c_p2, s4, c_invalid) | (~node33(c_p2, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p2, s4, c_invalid) | (~m_processor_v_state(c_p2, s3, c_invalid)) | (~node33(c_p2, s3, s4))))),
% 51.22/33.88 inference(monotonicity,[status(thm)],[28135])).
% 51.22/33.88 tff(28137,plain,
% 51.22/33.88 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p2, s3, c_invalid)) | m_processor_v_state(c_p2, s4, c_invalid) | (~node33(c_p2, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p2, s4, c_invalid) | (~m_processor_v_state(c_p2, s3, c_invalid)) | (~node33(c_p2, s3, s4)))),
% 51.22/33.88 inference(transitivity,[status(thm)],[28136, 28134])).
% 51.22/33.88 tff(28138,plain,
% 51.22/33.88 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p2, s3, c_invalid)) | m_processor_v_state(c_p2, s4, c_invalid) | (~node33(c_p2, s3, s4)))),
% 51.22/33.88 inference(quant_inst,[status(thm)],[])).
% 51.22/33.88 tff(28139,plain,
% 51.22/33.88 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p2, s4, c_invalid) | (~m_processor_v_state(c_p2, s3, c_invalid)) | (~node33(c_p2, s3, s4))),
% 51.22/33.88 inference(modus_ponens,[status(thm)],[28138, 28137])).
% 51.22/33.88 tff(28140,plain,
% 51.22/33.88 (~node33(c_p2, s3, s4)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[28139, 399, 28093, 27713])).
% 51.22/33.88 tff(28141,plain,
% 51.22/33.88 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~node38(c_p2, s3, s4)) | node34(c_p2, s3, s4) | (~m_processor_v_master(c_p2, s3)) | m_processor_v_abort(c_p2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~node38(c_p2, s3, s4)) | node34(c_p2, s3, s4) | (~m_processor_v_master(c_p2, s3)) | m_processor_v_abort(c_p2, s3))),
% 51.22/33.88 inference(rewrite,[status(thm)],[])).
% 51.22/33.88 tff(28142,plain,
% 51.22/33.88 ((node34(c_p2, s3, s4) | (~m_processor_v_master(c_p2, s3)) | (~node38(c_p2, s3, s4)) | m_processor_v_abort(c_p2, s3)) <=> ((~node38(c_p2, s3, s4)) | node34(c_p2, s3, s4) | (~m_processor_v_master(c_p2, s3)) | m_processor_v_abort(c_p2, s3))),
% 51.22/33.88 inference(rewrite,[status(thm)],[])).
% 51.22/33.88 tff(28143,plain,
% 51.22/33.88 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p2, s3, s4) | (~m_processor_v_master(c_p2, s3)) | (~node38(c_p2, s3, s4)) | m_processor_v_abort(c_p2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~node38(c_p2, s3, s4)) | node34(c_p2, s3, s4) | (~m_processor_v_master(c_p2, s3)) | m_processor_v_abort(c_p2, s3)))),
% 51.22/33.88 inference(monotonicity,[status(thm)],[28142])).
% 51.22/33.88 tff(28144,plain,
% 51.22/33.88 (((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p2, s3, s4) | (~m_processor_v_master(c_p2, s3)) | (~node38(c_p2, s3, s4)) | m_processor_v_abort(c_p2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~node38(c_p2, s3, s4)) | node34(c_p2, s3, s4) | (~m_processor_v_master(c_p2, s3)) | m_processor_v_abort(c_p2, s3))),
% 51.22/33.88 inference(transitivity,[status(thm)],[28143, 28141])).
% 51.22/33.88 tff(28145,plain,
% 51.22/33.88 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (node34(c_p2, s3, s4) | (~m_processor_v_master(c_p2, s3)) | (~node38(c_p2, s3, s4)) | m_processor_v_abort(c_p2, s3))),
% 51.22/33.88 inference(quant_inst,[status(thm)],[])).
% 51.22/33.88 tff(28146,plain,
% 51.22/33.88 ((~![Y: $i, I0: $i, X: $i] : (node34(I0, X, Y) | (~m_processor_v_master(I0, X)) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~node38(c_p2, s3, s4)) | node34(c_p2, s3, s4) | (~m_processor_v_master(c_p2, s3)) | m_processor_v_abort(c_p2, s3)),
% 51.22/33.88 inference(modus_ponens,[status(thm)],[28145, 28144])).
% 51.22/33.88 tff(28147,plain,
% 51.22/33.88 (node34(c_p2, s3, s4) | (~m_processor_v_master(c_p2, s3)) | m_processor_v_abort(c_p2, s3)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[28146, 283, 28026])).
% 51.22/33.88 tff(28148,plain,
% 51.22/33.88 (node34(c_p2, s3, s4)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[28147, 28109, 28108])).
% 51.22/33.88 tff(28149,plain,
% 51.22/33.88 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p2, s3, c_write_h_invalid) | m_processor_v_CMD(c_p2, s3, c_write_h_shared) | m_processor_v_CMD(c_p2, s3, c_read_h_shared) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s3, c_read_h_owned) | node33(c_p2, s3, s4) | (~node34(c_p2, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p2, s3, c_write_h_invalid) | m_processor_v_CMD(c_p2, s3, c_write_h_shared) | m_processor_v_CMD(c_p2, s3, c_read_h_shared) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s3, c_read_h_owned) | node33(c_p2, s3, s4) | (~node34(c_p2, s3, s4)))),
% 51.22/33.88 inference(rewrite,[status(thm)],[])).
% 51.22/33.88 tff(28150,plain,
% 51.22/33.88 ((node33(c_p2, s3, s4) | (~node34(c_p2, s3, s4)) | m_processor_v_CMD(c_p2, s3, c_read_h_shared) | m_processor_v_CMD(c_p2, s3, c_read_h_owned) | m_processor_v_CMD(c_p2, s3, c_write_h_invalid) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s3, c_write_h_shared) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p2, s3, c_write_h_invalid) | m_processor_v_CMD(c_p2, s3, c_write_h_shared) | m_processor_v_CMD(c_p2, s3, c_read_h_shared) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s3, c_read_h_owned) | node33(c_p2, s3, s4) | (~node34(c_p2, s3, s4)))),
% 51.22/33.88 inference(rewrite,[status(thm)],[])).
% 51.22/33.88 tff(28151,plain,
% 51.22/33.88 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p2, s3, s4) | (~node34(c_p2, s3, s4)) | m_processor_v_CMD(c_p2, s3, c_read_h_shared) | m_processor_v_CMD(c_p2, s3, c_read_h_owned) | m_processor_v_CMD(c_p2, s3, c_write_h_invalid) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s3, c_write_h_shared) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (m_processor_v_CMD(c_p2, s3, c_write_h_invalid) | m_processor_v_CMD(c_p2, s3, c_write_h_shared) | m_processor_v_CMD(c_p2, s3, c_read_h_shared) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s3, c_read_h_owned) | node33(c_p2, s3, s4) | (~node34(c_p2, s3, s4))))),
% 51.22/33.88 inference(monotonicity,[status(thm)],[28150])).
% 51.22/33.88 tff(28152,plain,
% 51.22/33.88 (((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p2, s3, s4) | (~node34(c_p2, s3, s4)) | m_processor_v_CMD(c_p2, s3, c_read_h_shared) | m_processor_v_CMD(c_p2, s3, c_read_h_owned) | m_processor_v_CMD(c_p2, s3, c_write_h_invalid) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s3, c_write_h_shared) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p2, s3, c_write_h_invalid) | m_processor_v_CMD(c_p2, s3, c_write_h_shared) | m_processor_v_CMD(c_p2, s3, c_read_h_shared) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s3, c_read_h_owned) | node33(c_p2, s3, s4) | (~node34(c_p2, s3, s4)))),
% 51.22/33.88 inference(transitivity,[status(thm)],[28151, 28149])).
% 51.22/33.88 tff(28153,plain,
% 51.22/33.88 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (node33(c_p2, s3, s4) | (~node34(c_p2, s3, s4)) | m_processor_v_CMD(c_p2, s3, c_read_h_shared) | m_processor_v_CMD(c_p2, s3, c_read_h_owned) | m_processor_v_CMD(c_p2, s3, c_write_h_invalid) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s3, c_write_h_shared) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_shared))),
% 51.22/33.88 inference(quant_inst,[status(thm)],[])).
% 51.22/33.88 tff(28154,plain,
% 51.22/33.88 ((~![Y: $i, I0: $i, X: $i] : (node33(I0, X, Y) | (~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | m_processor_v_CMD(I0, X, c_write_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | m_processor_v_CMD(I0, X, c_write_h_shared) | m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | m_processor_v_CMD(c_p2, s3, c_write_h_invalid) | m_processor_v_CMD(c_p2, s3, c_write_h_shared) | m_processor_v_CMD(c_p2, s3, c_read_h_shared) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s3, c_read_h_owned) | node33(c_p2, s3, s4) | (~node34(c_p2, s3, s4))),
% 51.22/33.88 inference(modus_ponens,[status(thm)],[28153, 28152])).
% 51.22/33.88 tff(28155,plain,
% 51.22/33.88 (m_processor_v_CMD(c_p2, s3, c_write_h_invalid) | m_processor_v_CMD(c_p2, s3, c_write_h_shared) | m_processor_v_CMD(c_p2, s3, c_read_h_shared) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s3, c_read_h_owned)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[28154, 474, 28148, 28140])).
% 51.22/33.88 tff(28156,plain,
% 51.22/33.88 ($false),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[28155, 28133, 28131, 28129, 28121, 28119, 28117])).
% 51.22/33.88 tff(28157,plain,((~m_processor_v_state(c_p2, s4, c_shared)) | (~m_processor_v_state(c_p2, s3, c_invalid)) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_processor_v_cmd(c_p1, s3, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.88 tff(28158,plain,
% 51.22/33.88 (~m_processor_v_cmd(c_p0, s3, c_idle)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[28157, 28004, 27713, 9596])).
% 51.22/33.88 tff(28159,plain,
% 51.22/33.88 (m_processor_v_master(c_p0, s3)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[10144, 28158])).
% 51.22/33.88 tff(28160,plain,
% 51.22/33.88 ($false),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[9554, 1530, 28159, 28110])).
% 51.22/33.88 tff(28161,plain,((~m_processor_v_state(c_p2, s4, c_shared)) | (~m_processor_v_state(c_p2, s3, c_invalid)) | (~m_processor_v_cmd(c_p1, s3, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.88 tff(28162,plain,
% 51.22/33.88 (~m_processor_v_state(c_p2, s4, c_shared)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[28161, 28043, 28077])).
% 51.22/33.88 tff(28163,plain,
% 51.22/33.88 (node34(c_p2, s3, s4)),
% 51.22/33.88 inference(unit_resolution,[status(thm)],[28147, 28040, 28014])).
% 51.22/33.88 tff(28164,plain,
% 51.22/33.88 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~m_processor_v_CMD(c_p2, s3, c_read_h_shared)) | m_processor_v_state(c_p2, s4, c_shared) | (~node34(c_p2, s3, s4)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~m_processor_v_CMD(c_p2, s3, c_read_h_shared)) | m_processor_v_state(c_p2, s4, c_shared) | (~node34(c_p2, s3, s4)))),
% 51.22/33.88 inference(rewrite,[status(thm)],[])).
% 51.22/33.88 tff(28165,plain,
% 51.22/33.88 (((~node34(c_p2, s3, s4)) | m_processor_v_state(c_p2, s4, c_shared) | (~m_processor_v_CMD(c_p2, s3, c_read_h_shared))) <=> ((~m_processor_v_CMD(c_p2, s3, c_read_h_shared)) | m_processor_v_state(c_p2, s4, c_shared) | (~node34(c_p2, s3, s4)))),
% 51.22/33.88 inference(rewrite,[status(thm)],[])).
% 51.22/33.88 tff(28166,plain,
% 51.22/33.88 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p2, s3, s4)) | m_processor_v_state(c_p2, s4, c_shared) | (~m_processor_v_CMD(c_p2, s3, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~m_processor_v_CMD(c_p2, s3, c_read_h_shared)) | m_processor_v_state(c_p2, s4, c_shared) | (~node34(c_p2, s3, s4))))),
% 51.22/33.89 inference(monotonicity,[status(thm)],[28165])).
% 51.22/33.89 tff(28167,plain,
% 51.22/33.89 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p2, s3, s4)) | m_processor_v_state(c_p2, s4, c_shared) | (~m_processor_v_CMD(c_p2, s3, c_read_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~m_processor_v_CMD(c_p2, s3, c_read_h_shared)) | m_processor_v_state(c_p2, s4, c_shared) | (~node34(c_p2, s3, s4)))),
% 51.22/33.89 inference(transitivity,[status(thm)],[28166, 28164])).
% 51.22/33.89 tff(28168,plain,
% 51.22/33.89 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | ((~node34(c_p2, s3, s4)) | m_processor_v_state(c_p2, s4, c_shared) | (~m_processor_v_CMD(c_p2, s3, c_read_h_shared)))),
% 51.22/33.89 inference(quant_inst,[status(thm)],[])).
% 51.22/33.89 tff(28169,plain,
% 51.22/33.89 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_state(I0, Y, c_shared) | (~m_processor_v_CMD(I0, X, c_read_h_shared)))) | (~m_processor_v_CMD(c_p2, s3, c_read_h_shared)) | m_processor_v_state(c_p2, s4, c_shared) | (~node34(c_p2, s3, s4))),
% 51.22/33.89 inference(modus_ponens,[status(thm)],[28168, 28167])).
% 51.22/33.89 tff(28170,plain,
% 51.22/33.89 ((~m_processor_v_CMD(c_p2, s3, c_read_h_shared)) | m_processor_v_state(c_p2, s4, c_shared)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[28169, 416, 28163])).
% 51.22/33.89 tff(28171,plain,
% 51.22/33.89 (~m_processor_v_CMD(c_p2, s3, c_read_h_shared)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[28170, 28162])).
% 51.22/33.89 tff(28172,plain,
% 51.22/33.89 (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[11586, 7663, 28050])).
% 51.22/33.89 tff(28173,plain,
% 51.22/33.89 (~m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[21585, 21573, 28172, 21563])).
% 51.22/33.89 tff(28174,plain,
% 51.22/33.89 (m_processor_v_CMD(c_p2, s3, c_write_h_invalid) | m_processor_v_CMD(c_p2, s3, c_write_h_shared) | m_processor_v_CMD(c_p2, s3, c_read_h_shared) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s3, c_read_h_owned) | node33(c_p2, s3, s4)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[28154, 474, 28163])).
% 51.22/33.89 tff(28175,plain,
% 51.22/33.89 (node33(c_p2, s3, s4)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[28174, 28173, 28171, 28076, 28068, 28066, 28058])).
% 51.22/33.89 tff(28176,plain,
% 51.22/33.89 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p2, s3, c_owned) | (~m_processor_v_state(c_p2, s4, c_owned)) | (~node33(c_p2, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p2, s3, c_owned) | (~m_processor_v_state(c_p2, s4, c_owned)) | (~node33(c_p2, s3, s4)))),
% 51.22/33.89 inference(rewrite,[status(thm)],[])).
% 51.22/33.89 tff(28177,plain,
% 51.22/33.89 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p2, s3, c_owned) | (~m_processor_v_state(c_p2, s4, c_owned)) | (~node33(c_p2, s3, s4)))),
% 51.22/33.89 inference(quant_inst,[status(thm)],[])).
% 51.22/33.89 tff(28178,plain,
% 51.22/33.89 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p2, s3, c_owned) | (~m_processor_v_state(c_p2, s4, c_owned)) | (~node33(c_p2, s3, s4))),
% 51.22/33.89 inference(modus_ponens,[status(thm)],[28177, 28176])).
% 51.22/33.89 tff(28179,plain,
% 51.22/33.89 ($false),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[28178, 830, 27209, 27750, 28175])).
% 51.22/33.89 tff(28180,plain,(m_processor_v_state(c_p2, s3, c_owned) | (~m_processor_v_state(c_p2, s4, c_owned)) | m_processor_v_abort(c_p2, s3) | m_processor_v_state(c_p2, s3, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.22/33.89 tff(28181,plain,
% 51.22/33.89 (m_processor_v_abort(c_p2, s3)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[28180, 27209, 27751, 27750])).
% 51.22/33.89 tff(28182,plain,
% 51.22/33.89 (~node32(c_p2, s3, s4)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[27994, 27209, 27750])).
% 51.22/33.89 tff(28183,plain,
% 51.22/33.89 ($false),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[28107, 28182, 28181])).
% 51.22/33.89 tff(28184,plain,((~m_processor_v_state(c_p2, s4, c_owned)) | m_processor_v_state(c_p2, s3, c_owned) | m_processor_v_state(c_p2, s3, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.22/33.89 tff(28185,plain,
% 51.22/33.89 ((~m_processor_v_state(c_p2, s4, c_owned)) | m_processor_v_state(c_p2, s3, c_shared)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[28184, 27985])).
% 51.22/33.89 tff(28186,plain,
% 51.22/33.89 (m_processor_v_state(c_p2, s3, c_shared)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[28185, 27209])).
% 51.22/33.89 tff(28187,plain,
% 51.22/33.89 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~node38(c_p2, s3, s4)) | m_processor_v_master(c_p2, s3) | node35(c_p2, s3) | m_processor_v_state(c_p2, s4, c_invalid) | (~m_processor_v_state(c_p2, s3, c_shared)) | m_processor_v_abort(c_p2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~node38(c_p2, s3, s4)) | m_processor_v_master(c_p2, s3) | node35(c_p2, s3) | m_processor_v_state(c_p2, s4, c_invalid) | (~m_processor_v_state(c_p2, s3, c_shared)) | m_processor_v_abort(c_p2, s3))),
% 51.22/33.89 inference(rewrite,[status(thm)],[])).
% 51.22/33.89 tff(28188,plain,
% 51.22/33.89 (((~m_processor_v_state(c_p2, s3, c_shared)) | m_processor_v_master(c_p2, s3) | node35(c_p2, s3) | m_processor_v_state(c_p2, s4, c_invalid) | (~node38(c_p2, s3, s4)) | m_processor_v_abort(c_p2, s3)) <=> ((~node38(c_p2, s3, s4)) | m_processor_v_master(c_p2, s3) | node35(c_p2, s3) | m_processor_v_state(c_p2, s4, c_invalid) | (~m_processor_v_state(c_p2, s3, c_shared)) | m_processor_v_abort(c_p2, s3))),
% 51.22/33.89 inference(rewrite,[status(thm)],[])).
% 51.22/33.89 tff(28189,plain,
% 51.22/33.89 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p2, s3, c_shared)) | m_processor_v_master(c_p2, s3) | node35(c_p2, s3) | m_processor_v_state(c_p2, s4, c_invalid) | (~node38(c_p2, s3, s4)) | m_processor_v_abort(c_p2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~node38(c_p2, s3, s4)) | m_processor_v_master(c_p2, s3) | node35(c_p2, s3) | m_processor_v_state(c_p2, s4, c_invalid) | (~m_processor_v_state(c_p2, s3, c_shared)) | m_processor_v_abort(c_p2, s3)))),
% 51.22/33.89 inference(monotonicity,[status(thm)],[28188])).
% 51.22/33.89 tff(28190,plain,
% 51.22/33.89 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p2, s3, c_shared)) | m_processor_v_master(c_p2, s3) | node35(c_p2, s3) | m_processor_v_state(c_p2, s4, c_invalid) | (~node38(c_p2, s3, s4)) | m_processor_v_abort(c_p2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~node38(c_p2, s3, s4)) | m_processor_v_master(c_p2, s3) | node35(c_p2, s3) | m_processor_v_state(c_p2, s4, c_invalid) | (~m_processor_v_state(c_p2, s3, c_shared)) | m_processor_v_abort(c_p2, s3))),
% 51.22/33.89 inference(transitivity,[status(thm)],[28189, 28187])).
% 51.22/33.89 tff(28191,plain,
% 51.22/33.89 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p2, s3, c_shared)) | m_processor_v_master(c_p2, s3) | node35(c_p2, s3) | m_processor_v_state(c_p2, s4, c_invalid) | (~node38(c_p2, s3, s4)) | m_processor_v_abort(c_p2, s3))),
% 51.22/33.89 inference(quant_inst,[status(thm)],[])).
% 51.22/33.89 tff(28192,plain,
% 51.22/33.89 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | m_processor_v_master(I0, X) | node35(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~node38(c_p2, s3, s4)) | m_processor_v_master(c_p2, s3) | node35(c_p2, s3) | m_processor_v_state(c_p2, s4, c_invalid) | (~m_processor_v_state(c_p2, s3, c_shared)) | m_processor_v_abort(c_p2, s3)),
% 51.22/33.89 inference(modus_ponens,[status(thm)],[28191, 28190])).
% 51.22/33.89 tff(28193,plain,
% 51.22/33.89 (m_processor_v_master(c_p2, s3) | node35(c_p2, s3) | m_processor_v_state(c_p2, s4, c_invalid) | (~m_processor_v_state(c_p2, s3, c_shared)) | m_processor_v_abort(c_p2, s3)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[28192, 301, 28026])).
% 51.22/33.89 tff(28194,plain,
% 51.22/33.89 (node35(c_p2, s3)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[28193, 9564, 27735, 28094, 28014])).
% 51.22/33.89 tff(28195,plain,
% 51.22/33.89 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~node35(c_p2, s3)) | (~m_processor_v_CMD(c_p2, s3, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~node35(c_p2, s3)) | (~m_processor_v_CMD(c_p2, s3, c_read_h_owned)))),
% 51.22/33.89 inference(rewrite,[status(thm)],[])).
% 51.22/33.89 tff(28196,plain,
% 51.22/33.89 (((~m_processor_v_CMD(c_p2, s3, c_read_h_owned)) | (~node35(c_p2, s3))) <=> ((~node35(c_p2, s3)) | (~m_processor_v_CMD(c_p2, s3, c_read_h_owned)))),
% 51.22/33.89 inference(rewrite,[status(thm)],[])).
% 51.22/33.89 tff(28197,plain,
% 51.22/33.89 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p2, s3, c_read_h_owned)) | (~node35(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~node35(c_p2, s3)) | (~m_processor_v_CMD(c_p2, s3, c_read_h_owned))))),
% 51.22/33.89 inference(monotonicity,[status(thm)],[28196])).
% 51.22/33.89 tff(28198,plain,
% 51.22/33.89 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p2, s3, c_read_h_owned)) | (~node35(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~node35(c_p2, s3)) | (~m_processor_v_CMD(c_p2, s3, c_read_h_owned)))),
% 51.22/33.89 inference(transitivity,[status(thm)],[28197, 28195])).
% 51.22/33.89 tff(28199,plain,
% 51.22/33.89 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p2, s3, c_read_h_owned)) | (~node35(c_p2, s3)))),
% 51.22/33.89 inference(quant_inst,[status(thm)],[])).
% 51.22/33.89 tff(28200,plain,
% 51.22/33.89 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node35(I0, X)))) | (~node35(c_p2, s3)) | (~m_processor_v_CMD(c_p2, s3, c_read_h_owned))),
% 51.22/33.89 inference(modus_ponens,[status(thm)],[28199, 28198])).
% 51.22/33.89 tff(28201,plain,
% 51.22/33.89 (~m_processor_v_CMD(c_p2, s3, c_read_h_owned)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[28200, 316, 28194])).
% 51.22/33.89 tff(28202,assumption,(~m_processor_v_state(c_p2, s4, c_shared)), introduced(assumption)).
% 51.22/33.89 tff(28203,plain,
% 51.22/33.89 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~node38(c_p2, s3, s4)) | m_processor_v_master(c_p2, s3) | node36(c_p2, s3) | m_processor_v_state(c_p2, s4, c_invalid) | m_processor_v_state(c_p2, s4, c_shared) | (~m_processor_v_state(c_p2, s3, c_shared)) | m_processor_v_abort(c_p2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~node38(c_p2, s3, s4)) | m_processor_v_master(c_p2, s3) | node36(c_p2, s3) | m_processor_v_state(c_p2, s4, c_invalid) | m_processor_v_state(c_p2, s4, c_shared) | (~m_processor_v_state(c_p2, s3, c_shared)) | m_processor_v_abort(c_p2, s3))),
% 51.22/33.89 inference(rewrite,[status(thm)],[])).
% 51.22/33.89 tff(28204,plain,
% 51.22/33.89 (((~m_processor_v_state(c_p2, s3, c_shared)) | node36(c_p2, s3) | m_processor_v_state(c_p2, s4, c_shared) | m_processor_v_master(c_p2, s3) | m_processor_v_state(c_p2, s4, c_invalid) | (~node38(c_p2, s3, s4)) | m_processor_v_abort(c_p2, s3)) <=> ((~node38(c_p2, s3, s4)) | m_processor_v_master(c_p2, s3) | node36(c_p2, s3) | m_processor_v_state(c_p2, s4, c_invalid) | m_processor_v_state(c_p2, s4, c_shared) | (~m_processor_v_state(c_p2, s3, c_shared)) | m_processor_v_abort(c_p2, s3))),
% 51.22/33.89 inference(rewrite,[status(thm)],[])).
% 51.22/33.89 tff(28205,plain,
% 51.22/33.89 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p2, s3, c_shared)) | node36(c_p2, s3) | m_processor_v_state(c_p2, s4, c_shared) | m_processor_v_master(c_p2, s3) | m_processor_v_state(c_p2, s4, c_invalid) | (~node38(c_p2, s3, s4)) | m_processor_v_abort(c_p2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~node38(c_p2, s3, s4)) | m_processor_v_master(c_p2, s3) | node36(c_p2, s3) | m_processor_v_state(c_p2, s4, c_invalid) | m_processor_v_state(c_p2, s4, c_shared) | (~m_processor_v_state(c_p2, s3, c_shared)) | m_processor_v_abort(c_p2, s3)))),
% 51.22/33.89 inference(monotonicity,[status(thm)],[28204])).
% 51.22/33.89 tff(28206,plain,
% 51.22/33.89 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p2, s3, c_shared)) | node36(c_p2, s3) | m_processor_v_state(c_p2, s4, c_shared) | m_processor_v_master(c_p2, s3) | m_processor_v_state(c_p2, s4, c_invalid) | (~node38(c_p2, s3, s4)) | m_processor_v_abort(c_p2, s3))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~node38(c_p2, s3, s4)) | m_processor_v_master(c_p2, s3) | node36(c_p2, s3) | m_processor_v_state(c_p2, s4, c_invalid) | m_processor_v_state(c_p2, s4, c_shared) | (~m_processor_v_state(c_p2, s3, c_shared)) | m_processor_v_abort(c_p2, s3))),
% 51.22/33.89 inference(transitivity,[status(thm)],[28205, 28203])).
% 51.22/33.89 tff(28207,plain,
% 51.22/33.89 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | ((~m_processor_v_state(c_p2, s3, c_shared)) | node36(c_p2, s3) | m_processor_v_state(c_p2, s4, c_shared) | m_processor_v_master(c_p2, s3) | m_processor_v_state(c_p2, s4, c_invalid) | (~node38(c_p2, s3, s4)) | m_processor_v_abort(c_p2, s3))),
% 51.22/33.89 inference(quant_inst,[status(thm)],[])).
% 51.22/33.89 tff(28208,plain,
% 51.22/33.89 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_shared)) | node36(I0, X) | m_processor_v_state(I0, Y, c_shared) | m_processor_v_master(I0, X) | m_processor_v_state(I0, Y, c_invalid) | (~node38(I0, X, Y)) | m_processor_v_abort(I0, X))) | (~node38(c_p2, s3, s4)) | m_processor_v_master(c_p2, s3) | node36(c_p2, s3) | m_processor_v_state(c_p2, s4, c_invalid) | m_processor_v_state(c_p2, s4, c_shared) | (~m_processor_v_state(c_p2, s3, c_shared)) | m_processor_v_abort(c_p2, s3)),
% 51.22/33.89 inference(modus_ponens,[status(thm)],[28207, 28206])).
% 51.22/33.89 tff(28209,plain,
% 51.22/33.89 (m_processor_v_master(c_p2, s3) | node36(c_p2, s3) | m_processor_v_state(c_p2, s4, c_invalid) | m_processor_v_state(c_p2, s4, c_shared) | (~m_processor_v_state(c_p2, s3, c_shared)) | m_processor_v_abort(c_p2, s3)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[28208, 341, 28026])).
% 51.22/33.89 tff(28210,plain,
% 51.22/33.89 (node36(c_p2, s3)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[28209, 9564, 27735, 28094, 28014, 28202])).
% 51.22/33.89 tff(28211,plain,
% 51.22/33.89 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~node35(c_p2, s3)) | (~m_processor_v_CMD(c_p2, s3, c_invalidate)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~node35(c_p2, s3)) | (~m_processor_v_CMD(c_p2, s3, c_invalidate)))),
% 51.22/33.89 inference(rewrite,[status(thm)],[])).
% 51.22/33.89 tff(28212,plain,
% 51.22/33.89 (((~m_processor_v_CMD(c_p2, s3, c_invalidate)) | (~node35(c_p2, s3))) <=> ((~node35(c_p2, s3)) | (~m_processor_v_CMD(c_p2, s3, c_invalidate)))),
% 51.22/33.89 inference(rewrite,[status(thm)],[])).
% 51.22/33.89 tff(28213,plain,
% 51.22/33.89 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p2, s3, c_invalidate)) | (~node35(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~node35(c_p2, s3)) | (~m_processor_v_CMD(c_p2, s3, c_invalidate))))),
% 51.22/33.89 inference(monotonicity,[status(thm)],[28212])).
% 51.22/33.89 tff(28214,plain,
% 51.22/33.89 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p2, s3, c_invalidate)) | (~node35(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~node35(c_p2, s3)) | (~m_processor_v_CMD(c_p2, s3, c_invalidate)))),
% 51.22/33.89 inference(transitivity,[status(thm)],[28213, 28211])).
% 51.22/33.89 tff(28215,plain,
% 51.22/33.89 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | ((~m_processor_v_CMD(c_p2, s3, c_invalidate)) | (~node35(c_p2, s3)))),
% 51.22/33.89 inference(quant_inst,[status(thm)],[])).
% 51.22/33.89 tff(28216,plain,
% 51.22/33.89 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_invalidate)) | (~node35(I0, X)))) | (~node35(c_p2, s3)) | (~m_processor_v_CMD(c_p2, s3, c_invalidate))),
% 51.22/33.89 inference(modus_ponens,[status(thm)],[28215, 28214])).
% 51.22/33.89 tff(28217,plain,
% 51.22/33.89 (~m_processor_v_CMD(c_p2, s3, c_invalidate)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[28216, 327, 28194])).
% 51.22/33.89 tff(28218,plain,
% 51.22/33.89 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p2, s3, c_invalidate) | m_processor_v_CMD(c_p2, s3, c_read_h_owned) | (~node36(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p2, s3, c_invalidate) | m_processor_v_CMD(c_p2, s3, c_read_h_owned) | (~node36(c_p2, s3)))),
% 51.22/33.89 inference(rewrite,[status(thm)],[])).
% 51.22/33.89 tff(28219,plain,
% 51.22/33.89 ((m_processor_v_CMD(c_p2, s3, c_invalidate) | (~node36(c_p2, s3)) | m_processor_v_CMD(c_p2, s3, c_read_h_owned)) <=> (m_processor_v_CMD(c_p2, s3, c_invalidate) | m_processor_v_CMD(c_p2, s3, c_read_h_owned) | (~node36(c_p2, s3)))),
% 51.22/33.89 inference(rewrite,[status(thm)],[])).
% 51.22/33.89 tff(28220,plain,
% 51.22/33.89 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p2, s3, c_invalidate) | (~node36(c_p2, s3)) | m_processor_v_CMD(c_p2, s3, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p2, s3, c_invalidate) | m_processor_v_CMD(c_p2, s3, c_read_h_owned) | (~node36(c_p2, s3))))),
% 51.22/33.89 inference(monotonicity,[status(thm)],[28219])).
% 51.22/33.89 tff(28221,plain,
% 51.22/33.89 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p2, s3, c_invalidate) | (~node36(c_p2, s3)) | m_processor_v_CMD(c_p2, s3, c_read_h_owned))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p2, s3, c_invalidate) | m_processor_v_CMD(c_p2, s3, c_read_h_owned) | (~node36(c_p2, s3)))),
% 51.22/33.89 inference(transitivity,[status(thm)],[28220, 28218])).
% 51.22/33.89 tff(28222,plain,
% 51.22/33.89 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | (m_processor_v_CMD(c_p2, s3, c_invalidate) | (~node36(c_p2, s3)) | m_processor_v_CMD(c_p2, s3, c_read_h_owned))),
% 51.22/33.89 inference(quant_inst,[status(thm)],[])).
% 51.22/33.89 tff(28223,plain,
% 51.22/33.89 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_invalidate) | (~node36(I0, X)) | m_processor_v_CMD(I0, X, c_read_h_owned))) | m_processor_v_CMD(c_p2, s3, c_invalidate) | m_processor_v_CMD(c_p2, s3, c_read_h_owned) | (~node36(c_p2, s3))),
% 51.22/33.89 inference(modus_ponens,[status(thm)],[28222, 28221])).
% 51.22/33.89 tff(28224,plain,
% 51.22/33.89 ($false),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[28223, 359, 28217, 28210, 28201])).
% 51.22/33.89 tff(28225,plain,(m_processor_v_master(c_p2, s3) | (~m_processor_v_state(c_p2, s3, c_shared)) | m_processor_v_state(c_p2, s4, c_invalid) | m_processor_v_abort(c_p2, s3) | m_processor_v_state(c_p2, s4, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.22/33.89 tff(28226,plain,
% 51.22/33.89 (m_processor_v_abort(c_p2, s3)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[28225, 28186, 9564, 28013, 28003])).
% 51.22/33.89 tff(28227,plain,
% 51.22/33.89 ($false),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[28107, 28226, 27996])).
% 51.22/33.89 tff(28228,plain,((~m_processor_v_state(c_p2, s4, c_owned)) | m_processor_v_master(c_p2, s3)), inference(lemma,lemma(discharge,[]))).
% 51.22/33.89 tff(28229,plain,
% 51.22/33.89 (m_processor_v_master(c_p2, s3)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[28228, 27209])).
% 51.22/33.89 tff(28230,plain,
% 51.22/33.89 (node16(s3)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[9562, 28229])).
% 51.22/33.89 tff(28231,plain,
% 51.22/33.89 (~m_processor_v_abort(c_p2, s3)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[28107, 28182])).
% 51.22/33.89 tff(28232,plain,
% 51.22/33.89 (m_processor_v_state(c_p2, s3, c_shared)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[28184, 27209, 27750])).
% 51.22/33.89 tff(28233,plain,
% 51.22/33.89 (m_processor_v_master(c_p2, s3)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[28225, 28232, 28003, 28231, 28013])).
% 51.22/33.89 tff(28234,plain,
% 51.22/33.89 (~node17(s3)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[10111, 28233])).
% 51.22/33.89 tff(28235,plain,
% 51.22/33.89 (~m_memory_v_master(c_m, s3)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[9494, 28234])).
% 51.22/33.89 tff(28236,plain,
% 51.22/33.89 (~node29(c_m, s3)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[9502, 28235])).
% 51.22/33.89 tff(28237,plain,
% 51.22/33.89 (m_memory_v_cmd(c_m, s3, c_idle)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[9510, 28236])).
% 51.22/33.89 tff(28238,plain,
% 51.22/33.89 (node16(s3)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[9562, 28233])).
% 51.22/33.89 tff(28239,plain,
% 51.22/33.89 (~m_processor_v_master(c_p0, s3)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[9554, 1530, 28238])).
% 51.22/33.89 tff(28240,plain,
% 51.22/33.89 (m_processor_v_cmd(c_p0, s3, c_idle)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[10144, 28239])).
% 51.22/33.89 tff(28241,plain,
% 51.22/33.89 (m_main_v_CMD(s3, c_idle)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[11516, 28240, 28237, 9596])).
% 51.22/33.89 tff(28242,plain,
% 51.22/33.89 (~m_main_v_CMD(s3, c_write_h_shared)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[28053, 27293, 28241])).
% 51.22/33.89 tff(28243,plain,
% 51.22/33.89 (~m_processor_v_CMD(c_p2, s3, c_write_h_shared)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[28057, 21573, 21563, 28242])).
% 51.22/33.89 tff(28244,plain,
% 51.22/33.89 (~m_main_v_CMD(s3, c_write_h_invalid)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[28061, 27273, 28241])).
% 51.22/33.89 tff(28245,plain,
% 51.22/33.89 (~m_processor_v_CMD(c_p2, s3, c_write_h_invalid)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[28065, 21573, 28244, 21563])).
% 51.22/33.89 tff(28246,plain,
% 51.22/33.89 (~m_main_v_CMD(s3, c_write_h_resp_h_shared)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[11535, 7650, 28241])).
% 51.22/33.89 tff(28247,plain,
% 51.22/33.89 (~m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_shared)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[21576, 21573, 21563, 28246])).
% 51.22/33.89 tff(28248,plain,
% 51.22/33.89 (~m_main_v_CMD(s3, c_read_h_owned)),
% 51.22/33.89 inference(unit_resolution,[status(thm)],[11978, 1971, 28241])).
% 51.22/33.90 tff(28249,plain,
% 51.22/33.90 (~m_processor_v_CMD(c_p2, s3, c_read_h_owned)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28075, 21573, 28248, 21563])).
% 51.22/33.90 tff(28250,plain,
% 51.22/33.90 (node34(c_p2, s3, s4)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28147, 28233, 28231])).
% 51.22/33.90 tff(28251,plain,
% 51.22/33.90 (~m_processor_v_CMD(c_p2, s3, c_read_h_shared)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28169, 416, 28013, 28250])).
% 51.22/33.90 tff(28252,plain,
% 51.22/33.90 (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[11586, 7663, 28241])).
% 51.22/33.90 tff(28253,plain,
% 51.22/33.90 (~m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[21585, 21573, 28252, 21563])).
% 51.22/33.90 tff(28254,plain,
% 51.22/33.90 (m_processor_v_CMD(c_p2, s3, c_write_h_invalid) | m_processor_v_CMD(c_p2, s3, c_write_h_shared) | m_processor_v_CMD(c_p2, s3, c_read_h_shared) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_shared) | m_processor_v_CMD(c_p2, s3, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p2, s3, c_read_h_owned) | node33(c_p2, s3, s4)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28154, 474, 28250])).
% 51.22/33.90 tff(28255,plain,
% 51.22/33.90 (node33(c_p2, s3, s4)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28254, 28253, 28251, 28249, 28247, 28245, 28243])).
% 51.22/33.90 tff(28256,plain,
% 51.22/33.90 ($false),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28178, 830, 27209, 27750, 28255])).
% 51.22/33.90 tff(28257,plain,((~m_processor_v_state(c_p2, s4, c_owned)) | m_processor_v_state(c_p2, s3, c_owned) | (~m_processor_v_cmd(c_p1, s3, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.90 tff(28258,plain,
% 51.22/33.90 ((~m_processor_v_state(c_p2, s4, c_owned)) | (~m_processor_v_cmd(c_p1, s3, c_idle))),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28257, 27985])).
% 51.22/33.90 tff(28259,plain,
% 51.22/33.90 (~m_processor_v_cmd(c_p1, s3, c_idle)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28258, 27209])).
% 51.22/33.90 tff(28260,plain,
% 51.22/33.90 (m_processor_v_master(c_p1, s3)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[9478, 28259])).
% 51.22/33.90 tff(28261,plain,
% 51.22/33.90 ($false),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[10569, 3386, 28260, 28230])).
% 51.22/33.90 tff(28262,plain,(~m_processor_v_state(c_p2, s4, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.22/33.90 tff(28263,assumption,(node57(c_p2, s4)), introduced(assumption)).
% 51.22/33.90 tff(28264,assumption,(~m_processor_v_state(c_p2, s4, c_owned)), introduced(assumption)).
% 51.22/33.90 tff(28265,plain,
% 51.22/33.90 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (m_processor_v_state(c_p2, s4, c_owned) | (~node57(c_p2, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | m_processor_v_state(c_p2, s4, c_owned) | (~node57(c_p2, s4)))),
% 51.22/33.90 inference(rewrite,[status(thm)],[])).
% 51.22/33.90 tff(28266,plain,
% 51.22/33.90 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (m_processor_v_state(c_p2, s4, c_owned) | (~node57(c_p2, s4)))),
% 51.22/33.90 inference(quant_inst,[status(thm)],[])).
% 51.22/33.90 tff(28267,plain,
% 51.22/33.90 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | m_processor_v_state(c_p2, s4, c_owned) | (~node57(c_p2, s4))),
% 51.22/33.90 inference(modus_ponens,[status(thm)],[28266, 28265])).
% 51.22/33.90 tff(28268,plain,
% 51.22/33.90 ($false),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28267, 4533, 28264, 28263])).
% 51.22/33.90 tff(28269,plain,(m_processor_v_state(c_p2, s4, c_owned) | (~node57(c_p2, s4))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.90 tff(28270,plain,
% 51.22/33.90 (~node57(c_p2, s4)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28269, 28262])).
% 51.22/33.90 tff(28271,assumption,(m_processor_v_reply_h_owned(c_p2, s4)), introduced(assumption)).
% 51.22/33.90 tff(28272,assumption,(~node57(c_p2, s4)), introduced(assumption)).
% 51.22/33.90 tff(28273,plain,
% 51.22/33.90 (((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | ((~m_processor_v_reply_h_owned(c_p2, s4)) | node57(c_p2, s4))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | (~m_processor_v_reply_h_owned(c_p2, s4)) | node57(c_p2, s4))),
% 51.22/33.90 inference(rewrite,[status(thm)],[])).
% 51.22/33.90 tff(28274,plain,
% 51.22/33.90 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | ((~m_processor_v_reply_h_owned(c_p2, s4)) | node57(c_p2, s4))),
% 51.22/33.90 inference(quant_inst,[status(thm)],[])).
% 51.22/33.90 tff(28275,plain,
% 51.22/33.90 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | (~m_processor_v_reply_h_owned(c_p2, s4)) | node57(c_p2, s4)),
% 51.22/33.90 inference(modus_ponens,[status(thm)],[28274, 28273])).
% 51.22/33.90 tff(28276,plain,
% 51.22/33.90 ($false),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28275, 4551, 28272, 28271])).
% 51.22/33.90 tff(28277,plain,(node57(c_p2, s4) | (~m_processor_v_reply_h_owned(c_p2, s4))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.90 tff(28278,plain,
% 51.22/33.90 (~m_processor_v_reply_h_owned(c_p2, s4)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28277, 28270])).
% 51.22/33.90 tff(28279,plain,
% 51.22/33.90 (((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (m_processor_v_state(c_p0, s4, c_owned) | (~node57(c_p0, s4)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | m_processor_v_state(c_p0, s4, c_owned) | (~node57(c_p0, s4)))),
% 51.22/33.90 inference(rewrite,[status(thm)],[])).
% 51.22/33.90 tff(28280,plain,
% 51.22/33.90 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | (m_processor_v_state(c_p0, s4, c_owned) | (~node57(c_p0, s4)))),
% 51.22/33.90 inference(quant_inst,[status(thm)],[])).
% 51.22/33.90 tff(28281,plain,
% 51.22/33.90 ((~![I0: $i, X: $i] : (m_processor_v_state(I0, X, c_owned) | (~node57(I0, X)))) | m_processor_v_state(c_p0, s4, c_owned) | (~node57(c_p0, s4))),
% 51.22/33.90 inference(modus_ponens,[status(thm)],[28280, 28279])).
% 51.22/33.90 tff(28282,plain,
% 51.22/33.90 (~node57(c_p0, s4)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28281, 4533, 54])).
% 51.22/33.90 tff(28283,plain,
% 51.22/33.90 (((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | ((~m_processor_v_reply_h_owned(c_p0, s4)) | node57(c_p0, s4))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | (~m_processor_v_reply_h_owned(c_p0, s4)) | node57(c_p0, s4))),
% 51.22/33.90 inference(rewrite,[status(thm)],[])).
% 51.22/33.90 tff(28284,plain,
% 51.22/33.90 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | ((~m_processor_v_reply_h_owned(c_p0, s4)) | node57(c_p0, s4))),
% 51.22/33.90 inference(quant_inst,[status(thm)],[])).
% 51.22/33.90 tff(28285,plain,
% 51.22/33.90 ((~![I0: $i, X: $i] : ((~m_processor_v_reply_h_owned(I0, X)) | node57(I0, X))) | (~m_processor_v_reply_h_owned(c_p0, s4)) | node57(c_p0, s4)),
% 51.22/33.90 inference(modus_ponens,[status(thm)],[28284, 28283])).
% 51.22/33.90 tff(28286,plain,
% 51.22/33.90 (~m_processor_v_reply_h_owned(c_p0, s4)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28285, 4551, 28282])).
% 51.22/33.90 tff(28287,plain,
% 51.22/33.90 (((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))) | ((~m_main_v_REPLY_h_OWNED(s4)) | m_processor_v_reply_h_owned(c_p0, s4) | m_processor_v_reply_h_owned(c_p1, s4) | m_processor_v_reply_h_owned(c_p2, s4))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))) | (~m_main_v_REPLY_h_OWNED(s4)) | m_processor_v_reply_h_owned(c_p0, s4) | m_processor_v_reply_h_owned(c_p1, s4) | m_processor_v_reply_h_owned(c_p2, s4))),
% 51.22/33.90 inference(rewrite,[status(thm)],[])).
% 51.22/33.90 tff(28288,plain,
% 51.22/33.90 ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))) | ((~m_main_v_REPLY_h_OWNED(s4)) | m_processor_v_reply_h_owned(c_p0, s4) | m_processor_v_reply_h_owned(c_p1, s4) | m_processor_v_reply_h_owned(c_p2, s4))),
% 51.22/33.90 inference(quant_inst,[status(thm)],[])).
% 51.22/33.90 tff(28289,plain,
% 51.22/33.90 ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_processor_v_reply_h_owned(c_p0, X) | m_processor_v_reply_h_owned(c_p1, X) | m_processor_v_reply_h_owned(c_p2, X))) | (~m_main_v_REPLY_h_OWNED(s4)) | m_processor_v_reply_h_owned(c_p0, s4) | m_processor_v_reply_h_owned(c_p1, s4) | m_processor_v_reply_h_owned(c_p2, s4)),
% 51.22/33.90 inference(modus_ponens,[status(thm)],[28288, 28287])).
% 51.22/33.90 tff(28290,plain,
% 51.22/33.90 ((~m_main_v_REPLY_h_OWNED(s4)) | m_processor_v_reply_h_owned(c_p1, s4)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28289, 4590, 28286, 28278])).
% 51.22/33.90 tff(28291,plain,
% 51.22/33.90 (~m_main_v_REPLY_h_OWNED(s4)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28290, 27208])).
% 51.22/33.90 tff(28292,assumption,(~m_main_v_REPLY_h_OWNED(s4)), introduced(assumption)).
% 51.22/33.90 tff(28293,assumption,(m_memory_v_REPLY_h_OWNED(c_m, s4)), introduced(assumption)).
% 51.22/33.90 tff(28294,plain,
% 51.22/33.90 (((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))) | (m_main_v_REPLY_h_OWNED(s4) | (~m_memory_v_REPLY_h_OWNED(c_m, s4)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))) | m_main_v_REPLY_h_OWNED(s4) | (~m_memory_v_REPLY_h_OWNED(c_m, s4)))),
% 51.22/33.90 inference(rewrite,[status(thm)],[])).
% 51.22/33.90 tff(28295,plain,
% 51.22/33.90 ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))) | (m_main_v_REPLY_h_OWNED(s4) | (~m_memory_v_REPLY_h_OWNED(c_m, s4)))),
% 51.22/33.90 inference(quant_inst,[status(thm)],[])).
% 51.22/33.90 tff(28296,plain,
% 51.22/33.90 ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | (~m_memory_v_REPLY_h_OWNED(c_m, X)))) | m_main_v_REPLY_h_OWNED(s4) | (~m_memory_v_REPLY_h_OWNED(c_m, s4))),
% 51.22/33.90 inference(modus_ponens,[status(thm)],[28295, 28294])).
% 51.22/33.90 tff(28297,plain,
% 51.22/33.90 ($false),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28296, 4608, 28293, 28292])).
% 51.22/33.90 tff(28298,plain,(m_main_v_REPLY_h_OWNED(s4) | (~m_memory_v_REPLY_h_OWNED(c_m, s4))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.90 tff(28299,plain,
% 51.22/33.90 (~m_memory_v_REPLY_h_OWNED(c_m, s4)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28298, 28291])).
% 51.22/33.90 tff(28300,assumption,(~m_memory_v_REPLY_h_OWNED(c_m, s4)), introduced(assumption)).
% 51.22/33.90 tff(28301,assumption,(node28(c_m, s4)), introduced(assumption)).
% 51.22/33.90 tff(28302,plain,
% 51.22/33.90 (((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))) | (m_memory_v_REPLY_h_OWNED(c_m, s4) | (~node28(c_m, s4)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))) | m_memory_v_REPLY_h_OWNED(c_m, s4) | (~node28(c_m, s4)))),
% 51.22/33.90 inference(rewrite,[status(thm)],[])).
% 51.22/33.90 tff(28303,plain,
% 51.22/33.90 ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))) | (m_memory_v_REPLY_h_OWNED(c_m, s4) | (~node28(c_m, s4)))),
% 51.22/33.90 inference(quant_inst,[status(thm)],[])).
% 51.22/33.90 tff(28304,plain,
% 51.22/33.90 ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_OWNED(I0, X) | (~node28(I0, X)))) | m_memory_v_REPLY_h_OWNED(c_m, s4) | (~node28(c_m, s4))),
% 51.22/33.90 inference(modus_ponens,[status(thm)],[28303, 28302])).
% 51.22/33.90 tff(28305,plain,
% 51.22/33.90 ($false),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28304, 4623, 28301, 28300])).
% 51.22/33.90 tff(28306,plain,(m_memory_v_REPLY_h_OWNED(c_m, s4) | (~node28(c_m, s4))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.90 tff(28307,plain,
% 51.22/33.90 (~node28(c_m, s4)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28306, 28299])).
% 51.22/33.90 tff(28308,plain,
% 51.22/33.90 (~m_processor_v_state(c_p0, s5, c_shared)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[1068, 27191])).
% 51.22/33.90 tff(28309,plain,
% 51.22/33.90 (~m_processor_v_state(c_p0, s5, c_invalid)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[1072, 137, 27191])).
% 51.22/33.90 tff(28310,plain,
% 51.22/33.90 (~node32(c_p0, s4, s5)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[1103, 28309, 54, 28308])).
% 51.22/33.90 tff(28311,plain,
% 51.22/33.90 (~m_processor_v_abort(c_p0, s4)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[1124, 28310])).
% 51.22/33.90 tff(28312,plain,
% 51.22/33.90 (node60(c_p0, s4)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[1353, 28311])).
% 51.22/33.90 tff(28313,plain,
% 51.22/33.90 (m_processor_v_cmd(c_p1, s4, c_idle)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[1517, 27196])).
% 51.22/33.90 tff(28314,plain,
% 51.22/33.90 (~node29(c_m, s4)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[1310, 27194])).
% 51.22/33.90 tff(28315,plain,
% 51.22/33.90 (m_memory_v_cmd(c_m, s4, c_idle)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[1325, 28314])).
% 51.22/33.90 tff(28316,plain,
% 51.22/33.90 (~node16(s4)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[1535, 27192])).
% 51.22/33.90 tff(28317,plain,
% 51.22/33.90 (~m_processor_v_master(c_p2, s4)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[1550, 28316])).
% 51.22/33.90 tff(28318,plain,
% 51.22/33.90 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[1582, 28317])).
% 51.22/33.90 tff(28319,plain,
% 51.22/33.90 (node8(s4)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[1599, 1593, 28318, 28315, 28313])).
% 51.22/33.90 tff(28320,plain,
% 51.22/33.90 (node34(c_p0, s4, s5)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[1333, 26676, 1268])).
% 51.22/33.90 tff(28321,plain,
% 51.22/33.90 (~m_processor_v_CMD(c_p0, s4, c_read_h_shared)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[2207, 416, 953, 28320])).
% 51.22/33.90 tff(28322,plain,
% 51.22/33.90 (~m_main_v_CMD(s4, c_read_h_shared)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[1236, 28321])).
% 51.22/33.90 tff(28323,plain,
% 51.22/33.90 (m_main_v_CMD(s4, c_idle)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[1850, 1659, 1268, 54, 28322])).
% 51.22/33.90 tff(28324,plain,
% 51.22/33.90 (m_processor_v_cmd(c_p0, s4, c_idle)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[2197, 2191, 1744, 28323])).
% 51.22/33.90 tff(28325,plain,
% 51.22/33.90 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_read_h_owned)))),
% 51.22/33.90 inference(rewrite,[status(thm)],[])).
% 51.22/33.90 tff(28326,plain,
% 51.22/33.90 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_read_h_owned)))),
% 51.22/33.90 inference(quant_inst,[status(thm)],[])).
% 51.22/33.90 tff(28327,plain,
% 51.22/33.90 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_processor_v_cmd(c_p0, s4, c_read_h_owned))),
% 51.22/33.90 inference(modus_ponens,[status(thm)],[28326, 28325])).
% 51.22/33.90 tff(28328,plain,
% 51.22/33.90 (~m_processor_v_cmd(c_p0, s4, c_read_h_owned)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28327, 3189, 1792])).
% 51.22/33.90 tff(28329,plain,
% 51.22/33.90 ($false),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[1842, 16812, 28328, 1268])).
% 51.22/33.90 tff(28330,plain,((~m_processor_v_cmd(c_p0, s4, c_idle)) | (~m_processor_v_master(c_p0, s4)) | (~m_processor_v_state(c_p0, s4, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.90 tff(28331,plain,
% 51.22/33.90 (~m_processor_v_state(c_p0, s4, c_invalid)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28330, 28324, 1268])).
% 51.22/33.90 tff(28332,plain,
% 51.22/33.90 ($false),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[19426, 28331, 19407, 54, 953, 814])).
% 51.22/33.90 tff(28333,plain,(m_main_v_CMD(s4, c_read_h_owned) | m_processor_v_state(c_p0, s4, c_owned) | m_processor_v_state(c_p0, s5, c_shared) | m_processor_v_state(c_p0, s5, c_invalid) | (~m_processor_v_master(c_p0, s4)) | (~node8(s4))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.90 tff(28334,plain,
% 51.22/33.90 (m_main_v_CMD(s4, c_read_h_owned)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28333, 28319, 27192, 28308, 28309, 54])).
% 51.22/33.90 tff(28335,plain,
% 51.22/33.90 (m_processor_v_CMD(c_p0, s4, c_read_h_owned)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[1692, 28334])).
% 51.22/33.90 tff(28336,plain,
% 51.22/33.90 (~node59(c_p0, s4)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[19327, 707, 28335])).
% 51.22/33.90 tff(28337,assumption,(~node28(c_m, s4)), introduced(assumption)).
% 51.22/33.90 tff(28338,assumption,(m_memory_v_abort(c_m, s4)), introduced(assumption)).
% 51.22/33.90 tff(28339,assumption,(m_memory_v_REPLY_h_STALL(c_m, s4)), introduced(assumption)).
% 51.22/33.90 tff(28340,plain,
% 51.22/33.90 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | (m_main_v_REPLY_h_STALL(s4) | (~m_memory_v_REPLY_h_STALL(c_m, s4)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | m_main_v_REPLY_h_STALL(s4) | (~m_memory_v_REPLY_h_STALL(c_m, s4)))),
% 51.22/33.90 inference(rewrite,[status(thm)],[])).
% 51.22/33.90 tff(28341,plain,
% 51.22/33.90 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | (m_main_v_REPLY_h_STALL(s4) | (~m_memory_v_REPLY_h_STALL(c_m, s4)))),
% 51.22/33.90 inference(quant_inst,[status(thm)],[])).
% 51.22/33.90 tff(28342,plain,
% 51.22/33.90 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_memory_v_REPLY_h_STALL(c_m, X)))) | m_main_v_REPLY_h_STALL(s4) | (~m_memory_v_REPLY_h_STALL(c_m, s4))),
% 51.22/33.90 inference(modus_ponens,[status(thm)],[28341, 28340])).
% 51.22/33.90 tff(28343,plain,
% 51.22/33.90 ($false),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28342, 4014, 1389, 28339])).
% 51.22/33.90 tff(28344,plain,((~m_memory_v_REPLY_h_STALL(c_m, s4)) | m_main_v_REPLY_h_STALL(s4)), inference(lemma,lemma(discharge,[]))).
% 51.22/33.90 tff(28345,plain,
% 51.22/33.90 (~m_memory_v_REPLY_h_STALL(c_m, s4)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28344, 23060])).
% 51.22/33.90 tff(28346,assumption,(~node27(c_m, s4)), introduced(assumption)).
% 51.22/33.90 tff(28347,assumption,(~m_memory_v_REPLY_h_STALL(c_m, s4)), introduced(assumption)).
% 51.22/33.90 tff(28348,plain,
% 51.22/33.90 (((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | ((~m_memory_v_abort(c_m, s4)) | m_memory_v_REPLY_h_STALL(c_m, s4) | node27(c_m, s4) | node28(c_m, s4))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | (~m_memory_v_abort(c_m, s4)) | m_memory_v_REPLY_h_STALL(c_m, s4) | node27(c_m, s4) | node28(c_m, s4))),
% 51.22/33.90 inference(rewrite,[status(thm)],[])).
% 51.22/33.90 tff(28349,plain,
% 51.22/33.90 ((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | ((~m_memory_v_abort(c_m, s4)) | m_memory_v_REPLY_h_STALL(c_m, s4) | node27(c_m, s4) | node28(c_m, s4))),
% 51.22/33.90 inference(quant_inst,[status(thm)],[])).
% 51.22/33.90 tff(28350,plain,
% 51.22/33.90 ((~![I0: $i, X: $i] : ((~m_memory_v_abort(I0, X)) | m_memory_v_REPLY_h_STALL(I0, X) | node27(I0, X) | node28(I0, X))) | (~m_memory_v_abort(c_m, s4)) | m_memory_v_REPLY_h_STALL(c_m, s4) | node27(c_m, s4) | node28(c_m, s4)),
% 51.22/33.90 inference(modus_ponens,[status(thm)],[28349, 28348])).
% 51.22/33.90 tff(28351,plain,
% 51.22/33.90 ($false),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28350, 4643, 28347, 28337, 28346, 28338])).
% 51.22/33.90 tff(28352,plain,(m_memory_v_REPLY_h_STALL(c_m, s4) | node28(c_m, s4) | node27(c_m, s4) | (~m_memory_v_abort(c_m, s4))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.90 tff(28353,plain,
% 51.22/33.90 (node27(c_m, s4)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28352, 28345, 28338, 28337])).
% 51.22/33.90 tff(28354,assumption,(~m_memory_v_REPLY_h_WAITING(c_m, s4)), introduced(assumption)).
% 51.22/33.90 tff(28355,assumption,(node27(c_m, s4)), introduced(assumption)).
% 51.22/33.90 tff(28356,plain,
% 51.22/33.90 (((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))) | (m_memory_v_REPLY_h_WAITING(c_m, s4) | (~node27(c_m, s4)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))) | m_memory_v_REPLY_h_WAITING(c_m, s4) | (~node27(c_m, s4)))),
% 51.22/33.90 inference(rewrite,[status(thm)],[])).
% 51.22/33.90 tff(28357,plain,
% 51.22/33.90 ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))) | (m_memory_v_REPLY_h_WAITING(c_m, s4) | (~node27(c_m, s4)))),
% 51.22/33.90 inference(quant_inst,[status(thm)],[])).
% 51.22/33.90 tff(28358,plain,
% 51.22/33.90 ((~![I0: $i, X: $i] : (m_memory_v_REPLY_h_WAITING(I0, X) | (~node27(I0, X)))) | m_memory_v_REPLY_h_WAITING(c_m, s4) | (~node27(c_m, s4))),
% 51.22/33.90 inference(modus_ponens,[status(thm)],[28357, 28356])).
% 51.22/33.90 tff(28359,plain,
% 51.22/33.90 ($false),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28358, 4659, 28355, 28354])).
% 51.22/33.90 tff(28360,plain,((~node27(c_m, s4)) | m_memory_v_REPLY_h_WAITING(c_m, s4)), inference(lemma,lemma(discharge,[]))).
% 51.22/33.90 tff(28361,plain,
% 51.22/33.90 (m_memory_v_REPLY_h_WAITING(c_m, s4)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28360, 28353])).
% 51.22/33.90 tff(28362,plain,
% 51.22/33.90 (~m_processor_v_REPLY_h_WAITING(c_p0, s4)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[23069, 1355, 23067])).
% 51.22/33.90 tff(28363,plain,
% 51.22/33.90 (~m_main_v_REPLY_h_WAITING(s4)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[19340, 28362])).
% 51.22/33.90 tff(28364,plain,
% 51.22/33.90 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))) | (m_main_v_REPLY_h_WAITING(s4) | (~m_memory_v_REPLY_h_WAITING(c_m, s4)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))) | m_main_v_REPLY_h_WAITING(s4) | (~m_memory_v_REPLY_h_WAITING(c_m, s4)))),
% 51.22/33.90 inference(rewrite,[status(thm)],[])).
% 51.22/33.90 tff(28365,plain,
% 51.22/33.90 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))) | (m_main_v_REPLY_h_WAITING(s4) | (~m_memory_v_REPLY_h_WAITING(c_m, s4)))),
% 51.22/33.90 inference(quant_inst,[status(thm)],[])).
% 51.22/33.90 tff(28366,plain,
% 51.22/33.90 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_memory_v_REPLY_h_WAITING(c_m, X)))) | m_main_v_REPLY_h_WAITING(s4) | (~m_memory_v_REPLY_h_WAITING(c_m, s4))),
% 51.22/33.90 inference(modus_ponens,[status(thm)],[28365, 28364])).
% 51.22/33.90 tff(28367,plain,
% 51.22/33.90 ($false),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28366, 4677, 28363, 28361])).
% 51.22/33.90 tff(28368,plain,((~node60(c_p0, s4)) | (~m_memory_v_abort(c_m, s4)) | node28(c_m, s4) | node59(c_p0, s4)), inference(lemma,lemma(discharge,[]))).
% 51.22/33.90 tff(28369,plain,
% 51.22/33.90 (~m_memory_v_abort(c_m, s4)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28368, 28336, 28312, 28307])).
% 51.22/33.90 tff(28370,plain,
% 51.22/33.90 (((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s4)) | (~m_main_v_CMD(s4, c_read_h_owned)) | m_memory_v_CMD(c_m, s4, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s4)) | (~m_main_v_CMD(s4, c_read_h_owned)) | m_memory_v_CMD(c_m, s4, c_read_h_owned))),
% 51.22/33.90 inference(rewrite,[status(thm)],[])).
% 51.22/33.90 tff(28371,plain,
% 51.22/33.90 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s4)) | (~m_main_v_CMD(s4, c_read_h_owned)) | m_memory_v_CMD(c_m, s4, c_read_h_owned))),
% 51.22/33.90 inference(quant_inst,[status(thm)],[])).
% 51.22/33.90 tff(28372,plain,
% 51.22/33.90 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s4)) | (~m_main_v_CMD(s4, c_read_h_owned)) | m_memory_v_CMD(c_m, s4, c_read_h_owned)),
% 51.22/33.90 inference(modus_ponens,[status(thm)],[28371, 28370])).
% 51.22/33.90 tff(28373,plain,
% 51.22/33.90 (m_memory_v_CMD(c_m, s4, c_read_h_owned)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28372, 4207, 12584, 28334])).
% 51.22/33.90 tff(28374,plain,
% 51.22/33.90 (~node20(c_m, s4)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[7414, 4225, 28373])).
% 51.22/33.90 tff(28375,plain,
% 51.22/33.90 (m_memory_v_busy(c_m, s5)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[7447, 28374, 27194, 28369, 27195])).
% 51.22/33.90 tff(28376,assumption,(node19(c_m, s5)), introduced(assumption)).
% 51.22/33.90 tff(28377,plain,
% 51.22/33.90 (((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | (m_memory_v_master(c_m, s5) | (~node19(c_m, s5)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | m_memory_v_master(c_m, s5) | (~node19(c_m, s5)))),
% 51.22/33.90 inference(rewrite,[status(thm)],[])).
% 51.22/33.90 tff(28378,plain,
% 51.22/33.90 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | (m_memory_v_master(c_m, s5) | (~node19(c_m, s5)))),
% 51.22/33.90 inference(quant_inst,[status(thm)],[])).
% 51.22/33.90 tff(28379,plain,
% 51.22/33.90 ((~![I0: $i, X: $i] : (m_memory_v_master(I0, X) | (~node19(I0, X)))) | m_memory_v_master(c_m, s5) | (~node19(c_m, s5))),
% 51.22/33.90 inference(modus_ponens,[status(thm)],[28378, 28377])).
% 51.22/33.90 tff(28380,plain,
% 51.22/33.90 ($false),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28379, 4477, 7131, 28376])).
% 51.22/33.90 tff(28381,plain,((~node19(c_m, s5)) | m_memory_v_master(c_m, s5)), inference(lemma,lemma(discharge,[]))).
% 51.22/33.90 tff(28382,plain,
% 51.22/33.90 (~node19(c_m, s5)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28381, 7131])).
% 51.22/33.90 tff(28383,assumption,(~node19(c_m, s5)), introduced(assumption)).
% 51.22/33.90 tff(28384,assumption,(~node21(c_m, s5)), introduced(assumption)).
% 51.22/33.90 tff(28385,assumption,(node22(c_m, s5, s6)), introduced(assumption)).
% 51.22/33.90 tff(28386,plain,
% 51.22/33.90 (((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))) | (m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s5)) | (~node22(c_m, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))) | m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s5)) | (~node22(c_m, s5, s6)))),
% 51.22/33.90 inference(rewrite,[status(thm)],[])).
% 51.22/33.90 tff(28387,plain,
% 51.22/33.90 (((~m_memory_v_busy(c_m, s5)) | m_memory_v_busy(c_m, s6) | (~node22(c_m, s5, s6))) <=> (m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s5)) | (~node22(c_m, s5, s6)))),
% 51.22/33.90 inference(rewrite,[status(thm)],[])).
% 51.22/33.90 tff(28388,plain,
% 51.22/33.90 (((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))) | ((~m_memory_v_busy(c_m, s5)) | m_memory_v_busy(c_m, s6) | (~node22(c_m, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))) | (m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s5)) | (~node22(c_m, s5, s6))))),
% 51.22/33.90 inference(monotonicity,[status(thm)],[28387])).
% 51.22/33.90 tff(28389,plain,
% 51.22/33.90 (((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))) | ((~m_memory_v_busy(c_m, s5)) | m_memory_v_busy(c_m, s6) | (~node22(c_m, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))) | m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s5)) | (~node22(c_m, s5, s6)))),
% 51.22/33.90 inference(transitivity,[status(thm)],[28388, 28386])).
% 51.22/33.90 tff(28390,plain,
% 51.22/33.90 ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))) | ((~m_memory_v_busy(c_m, s5)) | m_memory_v_busy(c_m, s6) | (~node22(c_m, s5, s6)))),
% 51.22/33.90 inference(quant_inst,[status(thm)],[])).
% 51.22/33.90 tff(28391,plain,
% 51.22/33.90 ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y) | (~node22(I0, X, Y)))) | m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s5)) | (~node22(c_m, s5, s6))),
% 51.22/33.90 inference(modus_ponens,[status(thm)],[28390, 28389])).
% 51.22/33.90 tff(28392,plain,
% 51.22/33.90 ($false),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28391, 7345, 18288, 7316, 28385])).
% 51.22/33.90 tff(28393,plain,((~node22(c_m, s5, s6)) | m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s5))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.90 tff(28394,plain,
% 51.22/33.90 (~node22(c_m, s5, s6)),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28393, 18288, 7316])).
% 51.22/33.90 tff(28395,assumption,(node18(c_m, s5, s6)), introduced(assumption)).
% 51.22/33.90 tff(28396,plain,
% 51.22/33.90 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | (m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s5)) | (~node18(c_m, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s5)) | (~node18(c_m, s5, s6)))),
% 51.22/33.90 inference(rewrite,[status(thm)],[])).
% 51.22/33.90 tff(28397,plain,
% 51.22/33.90 (((~node18(c_m, s5, s6)) | (~m_memory_v_busy(c_m, s5)) | m_memory_v_busy(c_m, s6)) <=> (m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s5)) | (~node18(c_m, s5, s6)))),
% 51.22/33.90 inference(rewrite,[status(thm)],[])).
% 51.22/33.90 tff(28398,plain,
% 51.22/33.90 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | ((~node18(c_m, s5, s6)) | (~m_memory_v_busy(c_m, s5)) | m_memory_v_busy(c_m, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | (m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s5)) | (~node18(c_m, s5, s6))))),
% 51.22/33.90 inference(monotonicity,[status(thm)],[28397])).
% 51.22/33.90 tff(28399,plain,
% 51.22/33.90 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | ((~node18(c_m, s5, s6)) | (~m_memory_v_busy(c_m, s5)) | m_memory_v_busy(c_m, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s5)) | (~node18(c_m, s5, s6)))),
% 51.22/33.90 inference(transitivity,[status(thm)],[28398, 28396])).
% 51.22/33.90 tff(28400,plain,
% 51.22/33.90 ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | ((~node18(c_m, s5, s6)) | (~m_memory_v_busy(c_m, s5)) | m_memory_v_busy(c_m, s6))),
% 51.22/33.90 inference(quant_inst,[status(thm)],[])).
% 51.22/33.90 tff(28401,plain,
% 51.22/33.90 ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | (~m_memory_v_busy(I0, X)) | m_memory_v_busy(I0, Y))) | m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s5)) | (~node18(c_m, s5, s6))),
% 51.22/33.90 inference(modus_ponens,[status(thm)],[28400, 28399])).
% 51.22/33.90 tff(28402,plain,
% 51.22/33.90 ($false),
% 51.22/33.90 inference(unit_resolution,[status(thm)],[28401, 7401, 18288, 7316, 28395])).
% 51.22/33.90 tff(28403,plain,((~node18(c_m, s5, s6)) | m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s5))), inference(lemma,lemma(discharge,[]))).
% 51.22/33.90 tff(28404,plain,
% 51.29/33.90 (~node18(c_m, s5, s6)),
% 51.29/33.90 inference(unit_resolution,[status(thm)],[28403, 18288, 7316])).
% 51.29/33.90 tff(28405,plain,
% 51.29/33.90 (~m_memory_v_abort(c_m, s5)),
% 51.29/33.90 inference(unit_resolution,[status(thm)],[18266, 28404])).
% 51.29/33.90 tff(28406,plain,
% 51.29/33.90 (((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (node19(c_m, s5) | node21(c_m, s5) | node22(c_m, s5, s6) | (~node23(c_m, s5, s6)) | m_memory_v_abort(c_m, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | node19(c_m, s5) | node21(c_m, s5) | node22(c_m, s5, s6) | (~node23(c_m, s5, s6)) | m_memory_v_abort(c_m, s5))),
% 51.29/33.90 inference(rewrite,[status(thm)],[])).
% 51.29/33.90 tff(28407,plain,
% 51.29/33.90 ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (node19(c_m, s5) | node21(c_m, s5) | node22(c_m, s5, s6) | (~node23(c_m, s5, s6)) | m_memory_v_abort(c_m, s5))),
% 51.29/33.90 inference(quant_inst,[status(thm)],[])).
% 51.29/33.90 tff(28408,plain,
% 51.29/33.90 ((~![Y: $i, I0: $i, X: $i] : (node19(I0, X) | node21(I0, X) | node22(I0, X, Y) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | node19(c_m, s5) | node21(c_m, s5) | node22(c_m, s5, s6) | (~node23(c_m, s5, s6)) | m_memory_v_abort(c_m, s5)),
% 51.29/33.90 inference(modus_ponens,[status(thm)],[28407, 28406])).
% 51.29/33.90 tff(28409,plain,
% 51.29/33.90 (node19(c_m, s5) | node21(c_m, s5) | node22(c_m, s5, s6) | m_memory_v_abort(c_m, s5)),
% 51.29/33.90 inference(unit_resolution,[status(thm)],[28408, 7365, 18259])).
% 51.29/33.90 tff(28410,plain,
% 51.29/33.90 ($false),
% 51.29/33.90 inference(unit_resolution,[status(thm)],[28409, 28405, 28394, 28384, 28383])).
% 51.29/33.90 tff(28411,plain,(m_memory_v_busy(c_m, s6) | node21(c_m, s5) | node19(c_m, s5) | (~m_memory_v_busy(c_m, s5))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.90 tff(28412,plain,
% 51.29/33.90 (node21(c_m, s5)),
% 51.29/33.90 inference(unit_resolution,[status(thm)],[28411, 28382, 18288, 7316])).
% 51.29/33.90 tff(28413,plain,
% 51.29/33.90 (~node18(c_m, s5, s6)),
% 51.29/33.90 inference(unit_resolution,[status(thm)],[28403, 7316, 18288])).
% 51.29/33.90 tff(28414,plain,
% 51.29/33.90 (~m_memory_v_abort(c_m, s5)),
% 51.29/33.90 inference(unit_resolution,[status(thm)],[18266, 28413])).
% 51.29/33.90 tff(28415,plain,
% 51.29/33.90 (((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s5) | node19(c_m, s5) | m_memory_v_busy(c_m, s6) | (~node23(c_m, s5, s6)) | node20(c_m, s5) | m_memory_v_abort(c_m, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | m_memory_v_master(c_m, s5) | node19(c_m, s5) | m_memory_v_busy(c_m, s6) | (~node23(c_m, s5, s6)) | node20(c_m, s5) | m_memory_v_abort(c_m, s5))),
% 51.29/33.90 inference(rewrite,[status(thm)],[])).
% 51.29/33.90 tff(28416,plain,
% 51.29/33.90 ((m_memory_v_master(c_m, s5) | node19(c_m, s5) | m_memory_v_busy(c_m, s6) | node20(c_m, s5) | (~node23(c_m, s5, s6)) | m_memory_v_abort(c_m, s5)) <=> (m_memory_v_master(c_m, s5) | node19(c_m, s5) | m_memory_v_busy(c_m, s6) | (~node23(c_m, s5, s6)) | node20(c_m, s5) | m_memory_v_abort(c_m, s5))),
% 51.29/33.90 inference(rewrite,[status(thm)],[])).
% 51.29/33.90 tff(28417,plain,
% 51.29/33.90 (((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s5) | node19(c_m, s5) | m_memory_v_busy(c_m, s6) | node20(c_m, s5) | (~node23(c_m, s5, s6)) | m_memory_v_abort(c_m, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s5) | node19(c_m, s5) | m_memory_v_busy(c_m, s6) | (~node23(c_m, s5, s6)) | node20(c_m, s5) | m_memory_v_abort(c_m, s5)))),
% 51.29/33.90 inference(monotonicity,[status(thm)],[28416])).
% 51.29/33.90 tff(28418,plain,
% 51.29/33.90 (((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s5) | node19(c_m, s5) | m_memory_v_busy(c_m, s6) | node20(c_m, s5) | (~node23(c_m, s5, s6)) | m_memory_v_abort(c_m, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | m_memory_v_master(c_m, s5) | node19(c_m, s5) | m_memory_v_busy(c_m, s6) | (~node23(c_m, s5, s6)) | node20(c_m, s5) | m_memory_v_abort(c_m, s5))),
% 51.29/33.91 inference(transitivity,[status(thm)],[28417, 28415])).
% 51.29/33.91 tff(28419,plain,
% 51.29/33.91 ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | (m_memory_v_master(c_m, s5) | node19(c_m, s5) | m_memory_v_busy(c_m, s6) | node20(c_m, s5) | (~node23(c_m, s5, s6)) | m_memory_v_abort(c_m, s5))),
% 51.29/33.91 inference(quant_inst,[status(thm)],[])).
% 51.29/33.91 tff(28420,plain,
% 51.29/33.91 ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_master(I0, X) | node19(I0, X) | m_memory_v_busy(I0, Y) | node20(I0, X) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X))) | m_memory_v_master(c_m, s5) | node19(c_m, s5) | m_memory_v_busy(c_m, s6) | (~node23(c_m, s5, s6)) | node20(c_m, s5) | m_memory_v_abort(c_m, s5)),
% 51.29/33.91 inference(modus_ponens,[status(thm)],[28419, 28418])).
% 51.29/33.91 tff(28421,plain,
% 51.29/33.91 (m_memory_v_master(c_m, s5) | node19(c_m, s5) | m_memory_v_busy(c_m, s6) | node20(c_m, s5) | m_memory_v_abort(c_m, s5)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[28420, 4504, 18259])).
% 51.29/33.91 tff(28422,plain,
% 51.29/33.91 (node20(c_m, s5)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[28421, 28382, 18288, 28414, 7131])).
% 51.29/33.91 tff(28423,plain,
% 51.29/33.91 (((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))) | ((~node20(c_m, s5)) | (~m_memory_v_CMD(c_m, s5, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))) | (~node20(c_m, s5)) | (~m_memory_v_CMD(c_m, s5, c_read_h_owned)))),
% 51.29/33.91 inference(rewrite,[status(thm)],[])).
% 51.29/33.91 tff(28424,plain,
% 51.29/33.91 ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))) | ((~node20(c_m, s5)) | (~m_memory_v_CMD(c_m, s5, c_read_h_owned)))),
% 51.29/33.91 inference(quant_inst,[status(thm)],[])).
% 51.29/33.91 tff(28425,plain,
% 51.29/33.91 ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_owned)))) | (~node20(c_m, s5)) | (~m_memory_v_CMD(c_m, s5, c_read_h_owned))),
% 51.29/33.91 inference(modus_ponens,[status(thm)],[28424, 28423])).
% 51.29/33.91 tff(28426,plain,
% 51.29/33.91 (~m_memory_v_CMD(c_m, s5, c_read_h_owned)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[28425, 4225, 28422])).
% 51.29/33.91 tff(28427,plain,
% 51.29/33.91 (((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))) | ((~node20(c_m, s5)) | (~m_memory_v_CMD(c_m, s5, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))) | (~node20(c_m, s5)) | (~m_memory_v_CMD(c_m, s5, c_read_h_shared)))),
% 51.29/33.91 inference(rewrite,[status(thm)],[])).
% 51.29/33.91 tff(28428,plain,
% 51.29/33.91 ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))) | ((~node20(c_m, s5)) | (~m_memory_v_CMD(c_m, s5, c_read_h_shared)))),
% 51.29/33.91 inference(quant_inst,[status(thm)],[])).
% 51.29/33.91 tff(28429,plain,
% 51.29/33.91 ((~![I0: $i, X: $i] : ((~node20(I0, X)) | (~m_memory_v_CMD(I0, X, c_read_h_shared)))) | (~node20(c_m, s5)) | (~m_memory_v_CMD(c_m, s5, c_read_h_shared))),
% 51.29/33.91 inference(modus_ponens,[status(thm)],[28428, 28427])).
% 51.29/33.91 tff(28430,plain,
% 51.29/33.91 (~m_memory_v_CMD(c_m, s5, c_read_h_shared)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[28429, 4179, 28422])).
% 51.29/33.91 tff(28431,assumption,(node21(c_m, s5)), introduced(assumption)).
% 51.29/33.91 tff(28432,assumption,(~m_memory_v_CMD(c_m, s5, c_read_h_owned)), introduced(assumption)).
% 51.29/33.91 tff(28433,assumption,(~m_memory_v_CMD(c_m, s5, c_read_h_shared)), introduced(assumption)).
% 51.29/33.91 tff(28434,plain,
% 51.29/33.91 (((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | (m_memory_v_CMD(c_m, s5, c_read_h_owned) | m_memory_v_CMD(c_m, s5, c_read_h_shared) | (~node21(c_m, s5)))) <=> ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | m_memory_v_CMD(c_m, s5, c_read_h_owned) | m_memory_v_CMD(c_m, s5, c_read_h_shared) | (~node21(c_m, s5)))),
% 51.29/33.91 inference(rewrite,[status(thm)],[])).
% 51.29/33.91 tff(28435,plain,
% 51.29/33.91 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | (m_memory_v_CMD(c_m, s5, c_read_h_owned) | m_memory_v_CMD(c_m, s5, c_read_h_shared) | (~node21(c_m, s5)))),
% 51.29/33.91 inference(quant_inst,[status(thm)],[])).
% 51.29/33.91 tff(28436,plain,
% 51.29/33.91 ((~![I0: $i, X: $i] : (m_memory_v_CMD(I0, X, c_read_h_owned) | m_memory_v_CMD(I0, X, c_read_h_shared) | (~node21(I0, X)))) | m_memory_v_CMD(c_m, s5, c_read_h_owned) | m_memory_v_CMD(c_m, s5, c_read_h_shared) | (~node21(c_m, s5))),
% 51.29/33.91 inference(modus_ponens,[status(thm)],[28435, 28434])).
% 51.29/33.91 tff(28437,plain,
% 51.29/33.91 ($false),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[28436, 7430, 28433, 28432, 28431])).
% 51.29/33.91 tff(28438,plain,((~node21(c_m, s5)) | m_memory_v_CMD(c_m, s5, c_read_h_shared) | m_memory_v_CMD(c_m, s5, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.91 tff(28439,plain,
% 51.29/33.91 ($false),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[28438, 28430, 28426, 28412])).
% 51.29/33.91 tff(28440,plain,(m_memory_v_master(c_m, s5) | m_memory_v_busy(c_m, s6) | (~m_memory_v_busy(c_m, s5))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.91 tff(28441,plain,
% 51.29/33.91 (m_memory_v_master(c_m, s5)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[28440, 28375, 26809])).
% 51.29/33.91 tff(28442,plain,
% 51.29/33.91 (node17(s5)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[13600, 28441])).
% 51.29/33.91 tff(28443,plain,
% 51.29/33.91 (~m_processor_v_master(c_p0, s5)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[21313, 28442])).
% 51.29/33.91 tff(28444,plain,
% 51.29/33.91 (m_processor_v_cmd(c_p0, s5, c_idle)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[13657, 28443])).
% 51.29/33.91 tff(28445,plain,
% 51.29/33.91 (~m_processor_v_master(c_p1, s5)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[13595, 28442])).
% 51.29/33.91 tff(28446,plain,
% 51.29/33.91 (m_processor_v_cmd(c_p1, s5, c_idle)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[7028, 28445])).
% 51.29/33.91 tff(28447,plain,
% 51.29/33.91 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_read_h_shared)))),
% 51.29/33.91 inference(rewrite,[status(thm)],[])).
% 51.29/33.91 tff(28448,plain,
% 51.29/33.91 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | ((~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_read_h_shared)))),
% 51.29/33.91 inference(quant_inst,[status(thm)],[])).
% 51.29/33.91 tff(28449,plain,
% 51.29/33.91 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_read_h_shared)))) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_read_h_shared))),
% 51.29/33.91 inference(modus_ponens,[status(thm)],[28448, 28447])).
% 51.29/33.91 tff(28450,plain,
% 51.29/33.91 (~m_processor_v_cmd(c_p0, s5, c_read_h_shared)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[28449, 3200, 13660])).
% 51.29/33.91 tff(28451,plain,
% 51.29/33.91 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s5, c_read_h_shared)) | (~node12(s5)) | m_processor_v_cmd(c_p0, s5, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~m_main_v_CMD(s5, c_read_h_shared)) | (~node12(s5)) | m_processor_v_cmd(c_p0, s5, c_read_h_shared))),
% 51.29/33.91 inference(rewrite,[status(thm)],[])).
% 51.29/33.91 tff(28452,plain,
% 51.29/33.91 (((~m_main_v_CMD(s5, c_read_h_shared)) | m_processor_v_cmd(c_p0, s5, c_read_h_shared) | (~node12(s5))) <=> ((~m_main_v_CMD(s5, c_read_h_shared)) | (~node12(s5)) | m_processor_v_cmd(c_p0, s5, c_read_h_shared))),
% 51.29/33.91 inference(rewrite,[status(thm)],[])).
% 51.29/33.91 tff(28453,plain,
% 51.29/33.91 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s5, c_read_h_shared)) | m_processor_v_cmd(c_p0, s5, c_read_h_shared) | (~node12(s5)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s5, c_read_h_shared)) | (~node12(s5)) | m_processor_v_cmd(c_p0, s5, c_read_h_shared)))),
% 51.29/33.91 inference(monotonicity,[status(thm)],[28452])).
% 51.29/33.91 tff(28454,plain,
% 51.29/33.91 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s5, c_read_h_shared)) | m_processor_v_cmd(c_p0, s5, c_read_h_shared) | (~node12(s5)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~m_main_v_CMD(s5, c_read_h_shared)) | (~node12(s5)) | m_processor_v_cmd(c_p0, s5, c_read_h_shared))),
% 51.29/33.91 inference(transitivity,[status(thm)],[28453, 28451])).
% 51.29/33.91 tff(28455,plain,
% 51.29/33.91 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s5, c_read_h_shared)) | m_processor_v_cmd(c_p0, s5, c_read_h_shared) | (~node12(s5)))),
% 51.29/33.91 inference(quant_inst,[status(thm)],[])).
% 51.29/33.91 tff(28456,plain,
% 51.29/33.91 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~m_main_v_CMD(s5, c_read_h_shared)) | (~node12(s5)) | m_processor_v_cmd(c_p0, s5, c_read_h_shared)),
% 51.29/33.91 inference(modus_ponens,[status(thm)],[28455, 28454])).
% 51.29/33.91 tff(28457,plain,
% 51.29/33.91 ((~m_main_v_CMD(s5, c_read_h_shared)) | (~node12(s5))),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[28456, 3644, 28450])).
% 51.29/33.91 tff(28458,plain,
% 51.29/33.91 (~node12(s5)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[28457, 13922])).
% 51.29/33.91 tff(28459,plain,
% 51.29/33.91 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s5, c_read_h_shared)) | (~node8(s5)) | m_processor_v_cmd(c_p0, s5, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~m_main_v_CMD(s5, c_read_h_shared)) | (~node8(s5)) | m_processor_v_cmd(c_p0, s5, c_read_h_shared))),
% 51.29/33.91 inference(rewrite,[status(thm)],[])).
% 51.29/33.91 tff(28460,plain,
% 51.29/33.91 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s5, c_read_h_shared)) | (~node8(s5)) | m_processor_v_cmd(c_p0, s5, c_read_h_shared))),
% 51.29/33.91 inference(quant_inst,[status(thm)],[])).
% 51.29/33.91 tff(28461,plain,
% 51.29/33.91 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~m_main_v_CMD(s5, c_read_h_shared)) | (~node8(s5)) | m_processor_v_cmd(c_p0, s5, c_read_h_shared)),
% 51.29/33.91 inference(modus_ponens,[status(thm)],[28460, 28459])).
% 51.29/33.91 tff(28462,plain,
% 51.29/33.91 ((~m_main_v_CMD(s5, c_read_h_shared)) | (~node8(s5))),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[28461, 2191, 28450])).
% 51.29/33.91 tff(28463,plain,
% 51.29/33.91 (~node8(s5)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[28462, 13922])).
% 51.29/33.91 tff(28464,plain,
% 51.29/33.91 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s5, c_read_h_shared)) | (~m_main_v_CMD(s5, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s5, c_read_h_shared)) | (~m_main_v_CMD(s5, c_response)))),
% 51.29/33.91 inference(rewrite,[status(thm)],[])).
% 51.29/33.91 tff(28465,plain,
% 51.29/33.91 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s5, c_read_h_shared)) | (~m_main_v_CMD(s5, c_response)))),
% 51.29/33.91 inference(quant_inst,[status(thm)],[])).
% 51.29/33.91 tff(28466,plain,
% 51.29/33.91 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s5, c_read_h_shared)) | (~m_main_v_CMD(s5, c_response))),
% 51.29/33.91 inference(modus_ponens,[status(thm)],[28465, 28464])).
% 51.29/33.91 tff(28467,plain,
% 51.29/33.91 (~m_main_v_CMD(s5, c_response)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[28466, 8266, 13922])).
% 51.29/33.91 tff(28468,plain,
% 51.29/33.91 (~m_processor_v_cmd(c_p2, s5, c_idle)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[13726, 28467, 7146, 13660, 28463])).
% 51.29/33.91 tff(28469,plain,
% 51.29/33.91 (m_processor_v_master(c_p2, s5)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[7120, 28468])).
% 51.29/33.91 tff(28470,plain,
% 51.29/33.91 (~node17(s5)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[13758, 28469])).
% 51.29/33.91 tff(28471,plain,
% 51.29/33.91 (~m_memory_v_master(c_m, s5)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[13600, 28470])).
% 51.29/33.91 tff(28472,plain,
% 51.29/33.91 (~node29(c_m, s5)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[7136, 28471])).
% 51.29/33.91 tff(28473,plain,
% 51.29/33.91 (m_memory_v_cmd(c_m, s5, c_idle)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[7144, 28472])).
% 51.29/33.91 tff(28474,plain,
% 51.29/33.91 (~node9(s5)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[13732, 2146, 28468])).
% 51.29/33.91 tff(28475,plain,
% 51.29/33.91 (~node11(s5)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[13736, 2157, 28468])).
% 51.29/33.91 tff(28476,plain,
% 51.29/33.91 (node9(s5) | node11(s5) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | node12(s5) | (~m_memory_v_cmd(c_m, s5, c_idle))),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[13743, 2171, 13660])).
% 51.29/33.91 tff(28477,plain,
% 51.29/33.91 ($false),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[28476, 28475, 28474, 28473, 7146, 28458])).
% 51.29/33.91 tff(28478,plain,((~m_main_v_CMD(s5, c_read_h_shared)) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.91 tff(28479,plain,
% 51.29/33.91 (~m_main_v_CMD(s5, c_read_h_shared)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[28478, 28446, 28444])).
% 51.29/33.91 tff(28480,plain,
% 51.29/33.91 (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[18084, 28479])).
% 51.29/33.91 tff(28481,assumption,(m_processor_v_snoop(c_p0, s5, c_invalid)), introduced(assumption)).
% 51.29/33.91 tff(28482,plain,
% 51.29/33.91 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | (m_processor_v_CMD(c_p0, s5, c_read_h_shared) | (~node40(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | (~node40(c_p0, s5)))),
% 51.29/33.91 inference(rewrite,[status(thm)],[])).
% 51.29/33.91 tff(28483,plain,
% 51.29/33.91 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | (m_processor_v_CMD(c_p0, s5, c_read_h_shared) | (~node40(c_p0, s5)))),
% 51.29/33.91 inference(quant_inst,[status(thm)],[])).
% 51.29/33.91 tff(28484,plain,
% 51.29/33.91 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | (~node40(c_p0, s5))),
% 51.29/33.91 inference(modus_ponens,[status(thm)],[28483, 28482])).
% 51.29/33.91 tff(28485,plain,
% 51.29/33.91 (~node40(c_p0, s5)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[28484, 8367, 1025])).
% 51.29/33.91 tff(28486,plain,
% 51.29/33.91 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | (m_processor_v_CMD(c_p0, s5, c_read_h_shared) | (~node41(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | (~node41(c_p0, s5)))),
% 51.29/33.91 inference(rewrite,[status(thm)],[])).
% 51.29/33.91 tff(28487,plain,
% 51.29/33.91 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | (m_processor_v_CMD(c_p0, s5, c_read_h_shared) | (~node41(c_p0, s5)))),
% 51.29/33.91 inference(quant_inst,[status(thm)],[])).
% 51.29/33.91 tff(28488,plain,
% 51.29/33.91 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | m_processor_v_CMD(c_p0, s5, c_read_h_shared) | (~node41(c_p0, s5))),
% 51.29/33.91 inference(modus_ponens,[status(thm)],[28487, 28486])).
% 51.29/33.91 tff(28489,plain,
% 51.29/33.91 (~node41(c_p0, s5)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[28488, 8378, 1025])).
% 51.29/33.91 tff(28490,plain,
% 51.29/33.91 (((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | ((~m_processor_v_snoop(c_p0, s5, c_invalid)) | (~m_processor_v_snoop(c_p0, s5, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | (~m_processor_v_snoop(c_p0, s5, c_invalid)) | (~m_processor_v_snoop(c_p0, s5, c_owned)))),
% 51.29/33.91 inference(rewrite,[status(thm)],[])).
% 51.29/33.91 tff(28491,plain,
% 51.29/33.91 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | ((~m_processor_v_snoop(c_p0, s5, c_invalid)) | (~m_processor_v_snoop(c_p0, s5, c_owned)))),
% 51.29/33.91 inference(quant_inst,[status(thm)],[])).
% 51.29/33.91 tff(28492,plain,
% 51.29/33.91 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | (~m_processor_v_snoop(c_p0, s5, c_invalid)) | (~m_processor_v_snoop(c_p0, s5, c_owned))),
% 51.29/33.91 inference(modus_ponens,[status(thm)],[28491, 28490])).
% 51.29/33.91 tff(28493,plain,
% 51.29/33.91 (~m_processor_v_snoop(c_p0, s5, c_owned)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[28492, 4071, 28481])).
% 51.29/33.91 tff(28494,assumption,(~node41(c_p0, s5)), introduced(assumption)).
% 51.29/33.91 tff(28495,assumption,(~node40(c_p0, s5)), introduced(assumption)).
% 51.29/33.91 tff(28496,assumption,(node39(c_p0, s5, s6)), introduced(assumption)).
% 51.29/33.91 tff(28497,plain,
% 51.29/33.91 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~m_processor_v_snoop(c_p0, s5, c_invalid)) | m_processor_v_snoop(c_p0, s6, c_invalid) | (~node39(c_p0, s5, s6)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p0, s5, c_invalid)) | m_processor_v_snoop(c_p0, s6, c_invalid) | (~node39(c_p0, s5, s6)))),
% 51.29/33.91 inference(rewrite,[status(thm)],[])).
% 51.29/33.91 tff(28498,plain,
% 51.29/33.91 (((~node39(c_p0, s5, s6)) | (~m_processor_v_snoop(c_p0, s5, c_invalid)) | m_processor_v_snoop(c_p0, s6, c_invalid)) <=> ((~m_processor_v_snoop(c_p0, s5, c_invalid)) | m_processor_v_snoop(c_p0, s6, c_invalid) | (~node39(c_p0, s5, s6)))),
% 51.29/33.91 inference(rewrite,[status(thm)],[])).
% 51.29/33.91 tff(28499,plain,
% 51.29/33.91 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p0, s5, s6)) | (~m_processor_v_snoop(c_p0, s5, c_invalid)) | m_processor_v_snoop(c_p0, s6, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~m_processor_v_snoop(c_p0, s5, c_invalid)) | m_processor_v_snoop(c_p0, s6, c_invalid) | (~node39(c_p0, s5, s6))))),
% 51.29/33.91 inference(monotonicity,[status(thm)],[28498])).
% 51.29/33.91 tff(28500,plain,
% 51.29/33.91 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p0, s5, s6)) | (~m_processor_v_snoop(c_p0, s5, c_invalid)) | m_processor_v_snoop(c_p0, s6, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p0, s5, c_invalid)) | m_processor_v_snoop(c_p0, s6, c_invalid) | (~node39(c_p0, s5, s6)))),
% 51.29/33.91 inference(transitivity,[status(thm)],[28499, 28497])).
% 51.29/33.91 tff(28501,plain,
% 51.29/33.91 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | ((~node39(c_p0, s5, s6)) | (~m_processor_v_snoop(c_p0, s5, c_invalid)) | m_processor_v_snoop(c_p0, s6, c_invalid))),
% 51.29/33.91 inference(quant_inst,[status(thm)],[])).
% 51.29/33.91 tff(28502,plain,
% 51.29/33.91 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | (~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V))) | (~m_processor_v_snoop(c_p0, s5, c_invalid)) | m_processor_v_snoop(c_p0, s6, c_invalid) | (~node39(c_p0, s5, s6))),
% 51.29/33.91 inference(modus_ponens,[status(thm)],[28501, 28500])).
% 51.29/33.91 tff(28503,plain,
% 51.29/33.91 ($false),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[28502, 7486, 18481, 28496, 28481])).
% 51.29/33.91 tff(28504,plain,((~node39(c_p0, s5, s6)) | m_processor_v_snoop(c_p0, s6, c_invalid) | (~m_processor_v_snoop(c_p0, s5, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.91 tff(28505,plain,
% 51.29/33.91 (~node39(c_p0, s5, s6)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[28504, 18481, 28481])).
% 51.29/33.91 tff(28506,plain,
% 51.29/33.91 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s5, s6)) | node45(c_p0, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s5, s6)) | node45(c_p0, s5, s6))),
% 51.29/33.91 inference(rewrite,[status(thm)],[])).
% 51.29/33.91 tff(28507,plain,
% 51.29/33.91 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s5, s6)) | node45(c_p0, s5, s6))),
% 51.29/33.91 inference(quant_inst,[status(thm)],[])).
% 51.29/33.91 tff(28508,plain,
% 51.29/33.91 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s5, s6)) | node45(c_p0, s5, s6)),
% 51.29/33.91 inference(modus_ponens,[status(thm)],[28507, 28506])).
% 51.29/33.91 tff(28509,plain,
% 51.29/33.91 (node45(c_p0, s5, s6)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[28508, 7503, 203])).
% 51.29/33.91 tff(28510,plain,
% 51.29/33.91 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s5)) | (~node45(c_p0, s5, s6)) | node39(c_p0, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s5)) | (~node45(c_p0, s5, s6)) | node39(c_p0, s5, s6))),
% 51.29/33.91 inference(rewrite,[status(thm)],[])).
% 51.29/33.91 tff(28511,plain,
% 51.29/33.91 ((node39(c_p0, s5, s6) | (~m_processor_v_abort(c_p0, s5)) | (~node45(c_p0, s5, s6))) <=> ((~m_processor_v_abort(c_p0, s5)) | (~node45(c_p0, s5, s6)) | node39(c_p0, s5, s6))),
% 51.29/33.91 inference(rewrite,[status(thm)],[])).
% 51.29/33.91 tff(28512,plain,
% 51.29/33.91 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p0, s5, s6) | (~m_processor_v_abort(c_p0, s5)) | (~node45(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s5)) | (~node45(c_p0, s5, s6)) | node39(c_p0, s5, s6)))),
% 51.29/33.91 inference(monotonicity,[status(thm)],[28511])).
% 51.29/33.91 tff(28513,plain,
% 51.29/33.91 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p0, s5, s6) | (~m_processor_v_abort(c_p0, s5)) | (~node45(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s5)) | (~node45(c_p0, s5, s6)) | node39(c_p0, s5, s6))),
% 51.29/33.91 inference(transitivity,[status(thm)],[28512, 28510])).
% 51.29/33.91 tff(28514,plain,
% 51.29/33.91 ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p0, s5, s6) | (~m_processor_v_abort(c_p0, s5)) | (~node45(c_p0, s5, s6)))),
% 51.29/33.91 inference(quant_inst,[status(thm)],[])).
% 51.29/33.91 tff(28515,plain,
% 51.29/33.91 ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s5)) | (~node45(c_p0, s5, s6)) | node39(c_p0, s5, s6)),
% 51.29/33.91 inference(modus_ponens,[status(thm)],[28514, 28513])).
% 51.29/33.91 tff(28516,plain,
% 51.29/33.91 ((~m_processor_v_abort(c_p0, s5)) | node39(c_p0, s5, s6)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[28515, 7518, 28509])).
% 51.29/33.91 tff(28517,plain,
% 51.29/33.91 (~m_processor_v_abort(c_p0, s5)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[28516, 28505])).
% 51.29/33.91 tff(28518,assumption,(~node44(c_p0, s5, s6)), introduced(assumption)).
% 51.29/33.91 tff(28519,plain,
% 51.29/33.91 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | (m_processor_v_master(c_p0, s5) | (~node43(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | m_processor_v_master(c_p0, s5) | (~node43(c_p0, s5)))),
% 51.29/33.91 inference(rewrite,[status(thm)],[])).
% 51.29/33.91 tff(28520,plain,
% 51.29/33.91 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | (m_processor_v_master(c_p0, s5) | (~node43(c_p0, s5)))),
% 51.29/33.91 inference(quant_inst,[status(thm)],[])).
% 51.29/33.91 tff(28521,plain,
% 51.29/33.91 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | m_processor_v_master(c_p0, s5) | (~node43(c_p0, s5))),
% 51.29/33.91 inference(modus_ponens,[status(thm)],[28520, 28519])).
% 51.29/33.91 tff(28522,plain,
% 51.29/33.91 (~node43(c_p0, s5)),
% 51.29/33.91 inference(unit_resolution,[status(thm)],[28521, 8159, 800])).
% 51.29/33.91 tff(28523,plain,
% 51.29/33.91 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | (m_processor_v_master(c_p0, s5) | (~node42(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | m_processor_v_master(c_p0, s5) | (~node42(c_p0, s5)))),
% 51.29/33.91 inference(rewrite,[status(thm)],[])).
% 51.29/33.91 tff(28524,plain,
% 51.29/33.91 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | (m_processor_v_master(c_p0, s5) | (~node42(c_p0, s5)))),
% 51.29/33.92 inference(quant_inst,[status(thm)],[])).
% 51.29/33.92 tff(28525,plain,
% 51.29/33.92 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | m_processor_v_master(c_p0, s5) | (~node42(c_p0, s5))),
% 51.29/33.92 inference(modus_ponens,[status(thm)],[28524, 28523])).
% 51.29/33.92 tff(28526,plain,
% 51.29/33.92 (~node42(c_p0, s5)),
% 51.29/33.92 inference(unit_resolution,[status(thm)],[28525, 8170, 800])).
% 51.29/33.92 tff(28527,plain,
% 51.29/33.92 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s5) | node44(c_p0, s5, s6) | (~node45(c_p0, s5, s6)) | node43(c_p0, s5) | node42(c_p0, s5) | node41(c_p0, s5) | node40(c_p0, s5))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p0, s5) | node44(c_p0, s5, s6) | (~node45(c_p0, s5, s6)) | node43(c_p0, s5) | node42(c_p0, s5) | node41(c_p0, s5) | node40(c_p0, s5))),
% 51.29/33.92 inference(rewrite,[status(thm)],[])).
% 51.29/33.92 tff(28528,plain,
% 51.29/33.92 ((m_processor_v_abort(c_p0, s5) | node40(c_p0, s5) | node41(c_p0, s5) | node42(c_p0, s5) | node43(c_p0, s5) | node44(c_p0, s5, s6) | (~node45(c_p0, s5, s6))) <=> (m_processor_v_abort(c_p0, s5) | node44(c_p0, s5, s6) | (~node45(c_p0, s5, s6)) | node43(c_p0, s5) | node42(c_p0, s5) | node41(c_p0, s5) | node40(c_p0, s5))),
% 51.29/33.92 inference(rewrite,[status(thm)],[])).
% 51.29/33.92 tff(28529,plain,
% 51.29/33.92 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s5) | node40(c_p0, s5) | node41(c_p0, s5) | node42(c_p0, s5) | node43(c_p0, s5) | node44(c_p0, s5, s6) | (~node45(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s5) | node44(c_p0, s5, s6) | (~node45(c_p0, s5, s6)) | node43(c_p0, s5) | node42(c_p0, s5) | node41(c_p0, s5) | node40(c_p0, s5)))),
% 51.29/33.92 inference(monotonicity,[status(thm)],[28528])).
% 51.29/33.92 tff(28530,plain,
% 51.29/33.92 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s5) | node40(c_p0, s5) | node41(c_p0, s5) | node42(c_p0, s5) | node43(c_p0, s5) | node44(c_p0, s5, s6) | (~node45(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p0, s5) | node44(c_p0, s5, s6) | (~node45(c_p0, s5, s6)) | node43(c_p0, s5) | node42(c_p0, s5) | node41(c_p0, s5) | node40(c_p0, s5))),
% 51.29/33.92 inference(transitivity,[status(thm)],[28529, 28527])).
% 51.29/33.92 tff(28531,plain,
% 51.29/33.92 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s5) | node40(c_p0, s5) | node41(c_p0, s5) | node42(c_p0, s5) | node43(c_p0, s5) | node44(c_p0, s5, s6) | (~node45(c_p0, s5, s6)))),
% 51.29/33.92 inference(quant_inst,[status(thm)],[])).
% 51.29/33.92 tff(28532,plain,
% 51.29/33.92 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p0, s5) | node44(c_p0, s5, s6) | (~node45(c_p0, s5, s6)) | node43(c_p0, s5) | node42(c_p0, s5) | node41(c_p0, s5) | node40(c_p0, s5)),
% 51.29/33.92 inference(modus_ponens,[status(thm)],[28531, 28530])).
% 51.29/33.92 tff(28533,plain,
% 51.29/33.92 (m_processor_v_abort(c_p0, s5) | node44(c_p0, s5, s6) | node43(c_p0, s5) | node42(c_p0, s5) | node41(c_p0, s5) | node40(c_p0, s5)),
% 51.29/33.92 inference(unit_resolution,[status(thm)],[28532, 7596, 28509])).
% 51.29/33.92 tff(28534,plain,
% 51.29/33.92 ($false),
% 51.29/33.92 inference(unit_resolution,[status(thm)],[28533, 28526, 28522, 835, 28518, 28494, 28495])).
% 51.29/33.92 tff(28535,plain,(m_processor_v_master(c_p0, s5) | m_processor_v_abort(c_p0, s5) | node44(c_p0, s5, s6) | node41(c_p0, s5) | node40(c_p0, s5)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.92 tff(28536,plain,
% 51.29/33.92 (m_processor_v_master(c_p0, s5)),
% 51.29/33.92 inference(unit_resolution,[status(thm)],[28535, 28518, 835, 28494, 28495])).
% 51.29/33.92 tff(28537,plain,
% 51.29/33.92 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | m_processor_v_snoop(c_p0, s6, c_invalid) | (~node45(c_p0, s5, s6)) | node41(c_p0, s5) | node40(c_p0, s5) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | m_processor_v_snoop(c_p0, s6, c_invalid) | (~node45(c_p0, s5, s6)) | node41(c_p0, s5) | node40(c_p0, s5) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)))),
% 51.29/33.92 inference(rewrite,[status(thm)],[])).
% 51.29/33.92 tff(28538,plain,
% 51.29/33.92 (((~m_processor_v_master(c_p0, s5)) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s5) | node40(c_p0, s5) | node41(c_p0, s5) | (~node45(c_p0, s5, s6)) | m_processor_v_snoop(c_p0, s6, c_invalid)) <=> ((~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | m_processor_v_snoop(c_p0, s6, c_invalid) | (~node45(c_p0, s5, s6)) | node41(c_p0, s5) | node40(c_p0, s5) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)))),
% 51.29/33.92 inference(rewrite,[status(thm)],[])).
% 51.29/33.92 tff(28539,plain,
% 51.29/33.92 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s5)) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s5) | node40(c_p0, s5) | node41(c_p0, s5) | (~node45(c_p0, s5, s6)) | m_processor_v_snoop(c_p0, s6, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | m_processor_v_snoop(c_p0, s6, c_invalid) | (~node45(c_p0, s5, s6)) | node41(c_p0, s5) | node40(c_p0, s5) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid))))),
% 51.29/33.92 inference(monotonicity,[status(thm)],[28538])).
% 51.29/33.92 tff(28540,plain,
% 51.29/33.92 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s5)) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s5) | node40(c_p0, s5) | node41(c_p0, s5) | (~node45(c_p0, s5, s6)) | m_processor_v_snoop(c_p0, s6, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | m_processor_v_snoop(c_p0, s6, c_invalid) | (~node45(c_p0, s5, s6)) | node41(c_p0, s5) | node40(c_p0, s5) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)))),
% 51.29/33.92 inference(transitivity,[status(thm)],[28539, 28537])).
% 51.29/33.92 tff(28541,plain,
% 51.29/33.92 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s5)) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s5) | node40(c_p0, s5) | node41(c_p0, s5) | (~node45(c_p0, s5, s6)) | m_processor_v_snoop(c_p0, s6, c_invalid))),
% 51.29/33.92 inference(quant_inst,[status(thm)],[])).
% 51.29/33.92 tff(28542,plain,
% 51.29/33.92 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | m_processor_v_snoop(c_p0, s6, c_invalid) | (~node45(c_p0, s5, s6)) | node41(c_p0, s5) | node40(c_p0, s5) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid))),
% 51.29/33.92 inference(modus_ponens,[status(thm)],[28541, 28540])).
% 51.29/33.92 tff(28543,plain,
% 51.29/33.92 ((~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | m_processor_v_snoop(c_p0, s6, c_invalid) | node41(c_p0, s5) | node40(c_p0, s5) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid))),
% 51.29/33.92 inference(unit_resolution,[status(thm)],[28542, 7563, 28509])).
% 51.29/33.92 tff(28544,plain,
% 51.29/33.92 (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)),
% 51.29/33.92 inference(unit_resolution,[status(thm)],[28543, 28536, 18481, 28494, 835, 28495])).
% 51.29/33.92 tff(28545,assumption,(node42(c_p0, s5)), introduced(assumption)).
% 51.29/33.92 tff(28546,plain,
% 51.29/33.92 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | (m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | (~node42(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | (~node42(c_p0, s5)))),
% 51.29/33.92 inference(rewrite,[status(thm)],[])).
% 51.29/33.92 tff(28547,plain,
% 51.29/33.92 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | (m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | (~node42(c_p0, s5)))),
% 51.29/33.92 inference(quant_inst,[status(thm)],[])).
% 51.29/33.92 tff(28548,plain,
% 51.29/33.92 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | (~node42(c_p0, s5))),
% 51.29/33.92 inference(modus_ponens,[status(thm)],[28547, 28546])).
% 51.29/33.92 tff(28549,plain,
% 51.29/33.92 ($false),
% 51.29/33.92 inference(unit_resolution,[status(thm)],[28548, 7579, 915, 28545])).
% 51.29/33.92 tff(28550,plain,((~node42(c_p0, s5)) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.92 tff(28551,plain,
% 51.29/33.92 (~node42(c_p0, s5)),
% 51.29/33.92 inference(unit_resolution,[status(thm)],[28550, 28544])).
% 51.29/33.92 tff(28552,plain,
% 51.29/33.92 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | m_processor_v_snoop(c_p0, s6, c_invalid) | (~node45(c_p0, s5, s6)) | node42(c_p0, s5) | node41(c_p0, s5) | node40(c_p0, s5) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | m_processor_v_snoop(c_p0, s6, c_invalid) | (~node45(c_p0, s5, s6)) | node42(c_p0, s5) | node41(c_p0, s5) | node40(c_p0, s5) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)))),
% 51.29/33.92 inference(rewrite,[status(thm)],[])).
% 51.29/33.92 tff(28553,plain,
% 51.29/33.92 (((~m_processor_v_master(c_p0, s5)) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s5) | node40(c_p0, s5) | node41(c_p0, s5) | node42(c_p0, s5) | (~node45(c_p0, s5, s6)) | m_processor_v_snoop(c_p0, s6, c_invalid)) <=> ((~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | m_processor_v_snoop(c_p0, s6, c_invalid) | (~node45(c_p0, s5, s6)) | node42(c_p0, s5) | node41(c_p0, s5) | node40(c_p0, s5) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)))),
% 51.29/33.92 inference(rewrite,[status(thm)],[])).
% 51.29/33.92 tff(28554,plain,
% 51.29/33.92 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s5)) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s5) | node40(c_p0, s5) | node41(c_p0, s5) | node42(c_p0, s5) | (~node45(c_p0, s5, s6)) | m_processor_v_snoop(c_p0, s6, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | m_processor_v_snoop(c_p0, s6, c_invalid) | (~node45(c_p0, s5, s6)) | node42(c_p0, s5) | node41(c_p0, s5) | node40(c_p0, s5) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared))))),
% 51.29/33.92 inference(monotonicity,[status(thm)],[28553])).
% 51.29/33.92 tff(28555,plain,
% 51.29/33.92 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s5)) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s5) | node40(c_p0, s5) | node41(c_p0, s5) | node42(c_p0, s5) | (~node45(c_p0, s5, s6)) | m_processor_v_snoop(c_p0, s6, c_invalid))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | m_processor_v_snoop(c_p0, s6, c_invalid) | (~node45(c_p0, s5, s6)) | node42(c_p0, s5) | node41(c_p0, s5) | node40(c_p0, s5) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)))),
% 51.29/33.92 inference(transitivity,[status(thm)],[28554, 28552])).
% 51.29/33.92 tff(28556,plain,
% 51.29/33.92 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | ((~m_processor_v_master(c_p0, s5)) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s5) | node40(c_p0, s5) | node41(c_p0, s5) | node42(c_p0, s5) | (~node45(c_p0, s5, s6)) | m_processor_v_snoop(c_p0, s6, c_invalid))),
% 51.29/33.92 inference(quant_inst,[status(thm)],[])).
% 51.29/33.92 tff(28557,plain,
% 51.29/33.92 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_invalid))) | (~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | m_processor_v_snoop(c_p0, s6, c_invalid) | (~node45(c_p0, s5, s6)) | node42(c_p0, s5) | node41(c_p0, s5) | node40(c_p0, s5) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared))),
% 51.29/33.92 inference(modus_ponens,[status(thm)],[28556, 28555])).
% 51.29/33.92 tff(28558,plain,
% 51.29/33.92 ((~m_processor_v_master(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | m_processor_v_snoop(c_p0, s6, c_invalid) | node42(c_p0, s5) | node41(c_p0, s5) | node40(c_p0, s5) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared))),
% 51.29/33.92 inference(unit_resolution,[status(thm)],[28557, 7615, 28509])).
% 51.29/33.92 tff(28559,plain,
% 51.29/33.92 (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)),
% 51.29/33.92 inference(unit_resolution,[status(thm)],[28558, 28551, 18481, 28536, 835, 28495, 28494])).
% 51.29/33.92 tff(28560,plain,
% 51.29/33.92 (node43(c_p0, s5)),
% 51.29/33.92 inference(unit_resolution,[status(thm)],[28533, 28551, 835, 28518, 28494, 28495])).
% 51.29/33.92 tff(28561,plain,
% 51.29/33.92 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared) | (~node43(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared) | (~node43(c_p0, s5)))),
% 51.29/33.92 inference(rewrite,[status(thm)],[])).
% 51.29/33.92 tff(28562,plain,
% 51.29/33.92 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared) | (~node43(c_p0, s5)))),
% 51.29/33.92 inference(quant_inst,[status(thm)],[])).
% 51.29/33.92 tff(28563,plain,
% 51.29/33.92 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared) | (~node43(c_p0, s5))),
% 51.29/33.92 inference(modus_ponens,[status(thm)],[28562, 28561])).
% 51.29/33.92 tff(28564,plain,
% 51.29/33.92 ($false),
% 51.29/33.92 inference(unit_resolution,[status(thm)],[28563, 7631, 28560, 28559])).
% 51.29/33.92 tff(28565,plain,(node44(c_p0, s5, s6) | m_processor_v_snoop(c_p0, s6, c_invalid) | m_processor_v_abort(c_p0, s5) | node40(c_p0, s5) | node41(c_p0, s5)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.92 tff(28566,plain,
% 51.29/33.92 (node44(c_p0, s5, s6)),
% 51.29/33.92 inference(unit_resolution,[status(thm)],[28565, 18481, 28517, 28495, 28494])).
% 51.29/33.92 tff(28567,plain,
% 51.29/33.92 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p0, s5, c_owned) | (~m_processor_v_snoop(c_p0, s6, c_owned)) | (~node44(c_p0, s5, s6)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p0, s5, c_owned) | (~m_processor_v_snoop(c_p0, s6, c_owned)) | (~node44(c_p0, s5, s6)))),
% 51.29/33.92 inference(rewrite,[status(thm)],[])).
% 51.29/33.92 tff(28568,plain,
% 51.29/33.92 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p0, s5, c_owned) | (~m_processor_v_snoop(c_p0, s6, c_owned)) | (~node44(c_p0, s5, s6)))),
% 51.29/33.92 inference(quant_inst,[status(thm)],[])).
% 51.29/33.92 tff(28569,plain,
% 51.29/33.92 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p0, s5, c_owned) | (~m_processor_v_snoop(c_p0, s6, c_owned)) | (~node44(c_p0, s5, s6))),
% 51.29/33.92 inference(modus_ponens,[status(thm)],[28568, 28567])).
% 51.29/33.92 tff(28570,plain,
% 51.29/33.92 (m_processor_v_snoop(c_p0, s5, c_owned) | (~m_processor_v_snoop(c_p0, s6, c_owned)) | (~node44(c_p0, s5, s6))),
% 51.29/33.92 inference(unit_resolution,[status(thm)],[28569, 10976])).
% 51.29/33.92 tff(28571,plain,
% 51.29/33.92 (~m_processor_v_snoop(c_p0, s6, c_owned)),
% 51.29/33.92 inference(unit_resolution,[status(thm)],[28570, 28566, 28493])).
% 51.29/33.92 tff(28572,plain,
% 51.29/33.92 (((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p0, s5, c_invalid)) | (~m_processor_v_snoop(c_p0, s5, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p0, s5, c_invalid)) | (~m_processor_v_snoop(c_p0, s5, c_shared)))),
% 51.29/33.92 inference(rewrite,[status(thm)],[])).
% 51.29/33.92 tff(28573,plain,
% 51.29/33.92 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p0, s5, c_invalid)) | (~m_processor_v_snoop(c_p0, s5, c_shared)))),
% 51.29/33.92 inference(quant_inst,[status(thm)],[])).
% 51.29/33.92 tff(28574,plain,
% 51.29/33.92 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p0, s5, c_invalid)) | (~m_processor_v_snoop(c_p0, s5, c_shared))),
% 51.29/33.92 inference(modus_ponens,[status(thm)],[28573, 28572])).
% 51.29/33.92 tff(28575,plain,
% 51.29/33.92 (~m_processor_v_snoop(c_p0, s5, c_shared)),
% 51.29/33.92 inference(unit_resolution,[status(thm)],[28574, 4096, 28481])).
% 51.29/33.92 tff(28576,assumption,(node44(c_p0, s5, s6)), introduced(assumption)).
% 51.29/33.92 tff(28577,assumption,(m_processor_v_snoop(c_p0, s6, c_shared)), introduced(assumption)).
% 51.29/33.92 tff(28578,plain,
% 51.29/33.92 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p0, s5, c_shared) | (~m_processor_v_snoop(c_p0, s6, c_shared)) | (~node44(c_p0, s5, s6)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p0, s5, c_shared) | (~m_processor_v_snoop(c_p0, s6, c_shared)) | (~node44(c_p0, s5, s6)))),
% 51.29/33.92 inference(rewrite,[status(thm)],[])).
% 51.29/33.92 tff(28579,plain,
% 51.29/33.92 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p0, s5, c_shared) | (~m_processor_v_snoop(c_p0, s6, c_shared)) | (~node44(c_p0, s5, s6)))),
% 51.29/33.92 inference(quant_inst,[status(thm)],[])).
% 51.29/33.92 tff(28580,plain,
% 51.29/33.92 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p0, s5, c_shared) | (~m_processor_v_snoop(c_p0, s6, c_shared)) | (~node44(c_p0, s5, s6))),
% 51.29/33.92 inference(modus_ponens,[status(thm)],[28579, 28578])).
% 51.29/33.92 tff(28581,plain,
% 51.29/33.92 ($false),
% 51.29/33.92 inference(unit_resolution,[status(thm)],[28580, 10976, 7195, 28577, 28576])).
% 51.29/33.92 tff(28582,plain,((~m_processor_v_snoop(c_p0, s6, c_shared)) | m_processor_v_snoop(c_p0, s5, c_shared) | (~node44(c_p0, s5, s6))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.92 tff(28583,plain,
% 51.29/33.92 (~m_processor_v_snoop(c_p0, s6, c_shared)),
% 51.29/33.92 inference(unit_resolution,[status(thm)],[28582, 28566, 28575])).
% 51.29/33.92 tff(28584,plain,
% 51.29/33.92 ($false),
% 51.29/33.92 inference(unit_resolution,[status(thm)],[18489, 28583, 28571, 18481])).
% 51.29/33.92 tff(28585,plain,(m_processor_v_snoop(c_p0, s6, c_invalid) | node40(c_p0, s5) | node41(c_p0, s5) | (~m_processor_v_snoop(c_p0, s5, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.92 tff(28586,plain,
% 51.29/33.92 ($false),
% 51.29/33.92 inference(unit_resolution,[status(thm)],[28585, 28489, 28485, 28481, 18481])).
% 51.29/33.92 tff(28587,plain,(m_processor_v_CMD(c_p0, s5, c_read_h_shared) | (~m_processor_v_snoop(c_p0, s5, c_invalid)) | m_processor_v_snoop(c_p0, s6, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.92 tff(28588,plain,
% 51.29/33.92 (m_processor_v_snoop(c_p0, s6, c_invalid)),
% 51.29/33.92 inference(unit_resolution,[status(thm)],[28587, 28480, 27185])).
% 51.29/33.92 tff(28589,assumption,(node44(c_p0, s6, s7)), introduced(assumption)).
% 51.29/33.92 tff(28590,assumption,(~m_processor_v_snoop(c_p0, s7, c_invalid)), introduced(assumption)).
% 51.29/33.92 tff(28591,assumption,(m_processor_v_snoop(c_p0, s6, c_invalid)), introduced(assumption)).
% 51.29/33.92 tff(28592,plain,
% 51.29/33.92 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | ((~m_processor_v_snoop(c_p0, s6, c_invalid)) | m_processor_v_snoop(c_p0, s7, c_invalid) | (~node44(c_p0, s6, s7)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | (~m_processor_v_snoop(c_p0, s6, c_invalid)) | m_processor_v_snoop(c_p0, s7, c_invalid) | (~node44(c_p0, s6, s7)))),
% 51.29/33.92 inference(rewrite,[status(thm)],[])).
% 51.29/33.92 tff(28593,plain,
% 51.29/33.92 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | ((~m_processor_v_snoop(c_p0, s6, c_invalid)) | m_processor_v_snoop(c_p0, s7, c_invalid) | (~node44(c_p0, s6, s7)))),
% 51.29/33.92 inference(quant_inst,[status(thm)],[])).
% 51.29/33.92 tff(28594,plain,
% 51.29/33.92 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | (~m_processor_v_snoop(c_p0, s6, c_invalid)) | m_processor_v_snoop(c_p0, s7, c_invalid) | (~node44(c_p0, s6, s7))),
% 51.29/33.92 inference(modus_ponens,[status(thm)],[28593, 28592])).
% 51.29/33.93 tff(28595,plain,
% 51.29/33.93 ($false),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28594, 7470, 28591, 28590, 28589])).
% 51.29/33.93 tff(28596,plain,(m_processor_v_snoop(c_p0, s7, c_invalid) | (~m_processor_v_snoop(c_p0, s6, c_invalid)) | (~node44(c_p0, s6, s7))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.93 tff(28597,plain,
% 51.29/33.93 (m_processor_v_snoop(c_p0, s7, c_invalid)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28596, 28588, 26863])).
% 51.29/33.93 tff(28598,assumption,(m_processor_v_snoop(c_p0, s7, c_invalid)), introduced(assumption)).
% 51.29/33.93 tff(28599,plain,
% 51.29/33.93 (((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p0, s7, c_invalid)) | (~m_processor_v_snoop(c_p0, s7, c_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p0, s7, c_invalid)) | (~m_processor_v_snoop(c_p0, s7, c_shared)))),
% 51.29/33.93 inference(rewrite,[status(thm)],[])).
% 51.29/33.93 tff(28600,plain,
% 51.29/33.93 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | ((~m_processor_v_snoop(c_p0, s7, c_invalid)) | (~m_processor_v_snoop(c_p0, s7, c_shared)))),
% 51.29/33.93 inference(quant_inst,[status(thm)],[])).
% 51.29/33.93 tff(28601,plain,
% 51.29/33.93 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_shared)))) | (~m_processor_v_snoop(c_p0, s7, c_invalid)) | (~m_processor_v_snoop(c_p0, s7, c_shared))),
% 51.29/33.93 inference(modus_ponens,[status(thm)],[28600, 28599])).
% 51.29/33.93 tff(28602,plain,
% 51.29/33.93 (~m_processor_v_snoop(c_p0, s7, c_shared)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28601, 4096, 28598])).
% 51.29/33.93 tff(28603,plain,
% 51.29/33.93 (((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | ((~m_processor_v_snoop(c_p0, s7, c_invalid)) | (~m_processor_v_snoop(c_p0, s7, c_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | (~m_processor_v_snoop(c_p0, s7, c_invalid)) | (~m_processor_v_snoop(c_p0, s7, c_owned)))),
% 51.29/33.93 inference(rewrite,[status(thm)],[])).
% 51.29/33.93 tff(28604,plain,
% 51.29/33.93 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | ((~m_processor_v_snoop(c_p0, s7, c_invalid)) | (~m_processor_v_snoop(c_p0, s7, c_owned)))),
% 51.29/33.93 inference(quant_inst,[status(thm)],[])).
% 51.29/33.93 tff(28605,plain,
% 51.29/33.93 ((~![I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, c_invalid)) | (~m_processor_v_snoop(I0, X, c_owned)))) | (~m_processor_v_snoop(c_p0, s7, c_invalid)) | (~m_processor_v_snoop(c_p0, s7, c_owned))),
% 51.29/33.93 inference(modus_ponens,[status(thm)],[28604, 28603])).
% 51.29/33.93 tff(28606,plain,
% 51.29/33.93 (~m_processor_v_snoop(c_p0, s7, c_owned)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28605, 4071, 28598])).
% 51.29/33.93 tff(28607,plain,
% 51.29/33.93 (~node63(c_p0, s7)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[25929, 1809, 2325])).
% 51.29/33.93 tff(28608,plain,
% 51.29/33.93 (~node62(c_p0, s7)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[14713, 1633, 2317])).
% 51.29/33.93 tff(28609,assumption,(~node65(c_p0, s7)), introduced(assumption)).
% 51.29/33.93 tff(28610,plain,
% 51.29/33.93 (m_processor_v_cmd(c_p0, s7, c_write_h_invalid) | (~m_processor_v_snoop(c_p0, s7, c_invalid)) | (~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node64(c_p0, s7) | node63(c_p0, s7) | node65(c_p0, s7)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[26019, 7232, 2313])).
% 51.29/33.93 tff(28611,plain,
% 51.29/33.93 (~m_processor_v_snoop(c_p0, s7, c_invalid)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28610, 28609, 14621, 25994, 28608, 28607, 25992])).
% 51.29/33.93 tff(28612,plain,
% 51.29/33.93 (~node64(c_p0, s7)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[25989, 4082, 25985])).
% 51.29/33.93 tff(28613,assumption,(~node66(c_p0, s7)), introduced(assumption)).
% 51.29/33.93 tff(28614,plain,
% 51.29/33.93 (node64(c_p0, s7) | node65(c_p0, s7) | m_processor_v_cmd(c_p0, s7, c_idle) | node66(c_p0, s7)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[13256, 1508, 28608, 28607])).
% 51.29/33.93 tff(28615,plain,
% 51.29/33.93 (m_processor_v_cmd(c_p0, s7, c_idle)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28614, 28612, 28609, 28613])).
% 51.29/33.93 tff(28616,plain,
% 51.29/33.93 (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[23810, 4285, 28615])).
% 51.29/33.93 tff(28617,plain,
% 51.29/33.93 ((~m_processor_v_master(c_p0, s7)) | node62(c_p0, s7) | node64(c_p0, s7) | node63(c_p0, s7) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p0, s7, c_shared))),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[26000, 7256, 2313])).
% 51.29/33.93 tff(28618,plain,
% 51.29/33.93 (~m_processor_v_snoop(c_p0, s7, c_shared)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28617, 28616, 28608, 28607, 14621, 28612])).
% 51.29/33.93 tff(28619,plain,
% 51.29/33.93 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_invalid)))),
% 51.29/33.93 inference(rewrite,[status(thm)],[])).
% 51.29/33.93 tff(28620,plain,
% 51.29/33.93 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_invalid)))),
% 51.29/33.93 inference(quant_inst,[status(thm)],[])).
% 51.29/33.93 tff(28621,plain,
% 51.29/33.93 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_invalid))),
% 51.29/33.93 inference(modus_ponens,[status(thm)],[28620, 28619])).
% 51.29/33.93 tff(28622,plain,
% 51.29/33.93 (~m_processor_v_cmd(c_p0, s7, c_write_h_invalid)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28621, 3630, 28615])).
% 51.29/33.93 tff(28623,plain,
% 51.29/33.93 (~m_processor_v_snoop(c_p0, s7, c_invalid)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28610, 28622, 14621, 28608, 28612, 28607, 28609])).
% 51.29/33.93 tff(28624,plain,
% 51.29/33.93 (m_processor_v_snoop(c_p0, s7, c_invalid) | m_processor_v_snoop(c_p0, s7, c_shared)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[26008, 7213, 25985])).
% 51.29/33.93 tff(28625,plain,
% 51.29/33.93 ($false),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28624, 28623, 28618])).
% 51.29/33.93 tff(28626,plain,(m_processor_v_snoop(c_p0, s7, c_owned) | (~m_processor_v_master(c_p0, s7)) | node65(c_p0, s7) | (~m_processor_v_state(c_p0, s7, c_owned)) | node66(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.93 tff(28627,plain,
% 51.29/33.93 (node66(c_p0, s7)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28626, 28609, 2313, 14621, 25985])).
% 51.29/33.93 tff(28628,plain,
% 51.29/33.93 (((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | (m_processor_v_snoop(c_p0, s7, c_invalid) | (~node66(c_p0, s7)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | m_processor_v_snoop(c_p0, s7, c_invalid) | (~node66(c_p0, s7)))),
% 51.29/33.93 inference(rewrite,[status(thm)],[])).
% 51.29/33.93 tff(28629,plain,
% 51.29/33.93 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | (m_processor_v_snoop(c_p0, s7, c_invalid) | (~node66(c_p0, s7)))),
% 51.29/33.93 inference(quant_inst,[status(thm)],[])).
% 51.29/33.93 tff(28630,plain,
% 51.29/33.93 ((~![I0: $i, X: $i] : (m_processor_v_snoop(I0, X, c_invalid) | (~node66(I0, X)))) | m_processor_v_snoop(c_p0, s7, c_invalid) | (~node66(c_p0, s7))),
% 51.29/33.93 inference(modus_ponens,[status(thm)],[28629, 28628])).
% 51.29/33.93 tff(28631,plain,
% 51.29/33.93 ($false),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28630, 9118, 28627, 28611])).
% 51.29/33.93 tff(28632,plain,(node65(c_p0, s7) | (~m_processor_v_master(c_p0, s7)) | m_processor_v_cmd(c_p0, s7, c_write_h_invalid) | (~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_snoop(c_p0, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.93 tff(28633,plain,
% 51.29/33.93 (node65(c_p0, s7)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28632, 28606, 14621, 2313, 25994])).
% 51.29/33.93 tff(28634,plain,
% 51.29/33.93 ($false),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[26012, 4107, 28633, 28602])).
% 51.29/33.93 tff(28635,plain,((~m_processor_v_snoop(c_p0, s7, c_invalid)) | (~m_processor_v_master(c_p0, s7)) | (~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_cmd(c_p0, s7, c_write_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.93 tff(28636,plain,
% 51.29/33.93 (m_processor_v_cmd(c_p0, s7, c_write_h_invalid)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28635, 28597, 26777, 26816])).
% 51.29/33.93 tff(28637,plain,
% 51.29/33.93 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s7, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s7, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_invalid)))),
% 51.29/33.93 inference(rewrite,[status(thm)],[])).
% 51.29/33.93 tff(28638,plain,
% 51.29/33.93 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s7, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_invalid)))),
% 51.29/33.93 inference(quant_inst,[status(thm)],[])).
% 51.29/33.93 tff(28639,plain,
% 51.29/33.93 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s7, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_invalid))),
% 51.29/33.93 inference(modus_ponens,[status(thm)],[28638, 28637])).
% 51.29/33.93 tff(28640,plain,
% 51.29/33.93 (~m_processor_v_cmd(c_p0, s7, c_read_h_shared)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28639, 11648, 28636])).
% 51.29/33.93 tff(28641,plain,
% 51.29/33.93 ($false),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[24600, 2191, 13174, 14693, 14649])).
% 51.29/33.93 tff(28642,plain,(m_processor_v_cmd(c_p0, s7, c_read_h_shared) | (~m_main_v_CMD(s7, c_read_h_shared)) | (~node8(s7))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.93 tff(28643,plain,
% 51.29/33.93 (~m_main_v_CMD(s7, c_read_h_shared)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28642, 28640, 26815])).
% 51.29/33.93 tff(28644,plain,
% 51.29/33.93 (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[16214, 28643])).
% 51.29/33.93 tff(28645,plain,
% 51.29/33.93 ((~m_processor_v_waiting(c_p1, s7)) | m_processor_v_reply_h_waiting(c_p1, s7)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[25823, 2296, 26778])).
% 51.29/33.93 tff(28646,plain,
% 51.29/33.93 (m_processor_v_reply_h_waiting(c_p1, s7)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28645, 26813])).
% 51.29/33.93 tff(28647,plain,
% 51.29/33.93 (~node6(s7)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[25831, 28646])).
% 51.29/33.93 tff(28648,plain,
% 51.29/33.93 (m_main_v_REPLY_h_WAITING(s7)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[23481, 28647])).
% 51.29/33.93 tff(28649,plain,
% 51.29/33.93 (m_processor_v_REPLY_h_WAITING(c_p0, s7)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[23489, 28648])).
% 51.29/33.93 tff(28650,plain,
% 51.29/33.93 (m_main_v_CMD(s7, c_write_h_invalid)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[25982, 1669, 28636, 26815])).
% 51.29/33.93 tff(28651,plain,
% 51.29/33.93 (m_processor_v_CMD(c_p0, s7, c_write_h_invalid)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[25884, 28650])).
% 51.29/33.93 tff(28652,plain,
% 51.29/33.93 (~m_processor_v_state(c_p0, s7, c_shared)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[25915, 26793, 26800])).
% 51.29/33.93 tff(28653,plain,
% 51.29/33.93 (~node63(c_p0, s7)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[25929, 1809, 28652])).
% 51.29/33.93 tff(28654,plain,
% 51.29/33.93 (m_processor_v_abort(c_p0, s8)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[24920, 14408, 14759, 14758])).
% 51.29/33.93 tff(28655,plain,
% 51.29/33.93 (node32(c_p0, s8, s9)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[14811, 28654])).
% 51.29/33.93 tff(28656,plain,
% 51.29/33.93 (~m_processor_v_state(c_p0, s8, c_invalid)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[14797, 28655, 14771])).
% 51.29/33.93 tff(28657,plain,
% 51.29/33.93 (~node32(c_p0, s7, s8)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[18114, 14408, 2313])).
% 51.29/33.93 tff(28658,plain,
% 51.29/33.93 (~m_processor_v_abort(c_p0, s7)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[14492, 28657])).
% 51.29/33.93 tff(28659,plain,
% 51.29/33.93 (~m_processor_v_state(c_p0, s8, c_shared)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[14847, 28655, 14767])).
% 51.29/33.93 tff(28660,plain,
% 51.29/33.93 (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[23994, 25837])).
% 51.29/33.93 tff(28661,plain,
% 51.29/33.93 (~m_processor_v_CMD(c_p0, s7, c_write_h_invalid)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[25841, 28660, 14621, 14438, 23492, 14439])).
% 51.29/33.93 tff(28662,plain,
% 51.29/33.93 (~m_main_v_CMD(s7, c_write_h_invalid)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[25884, 28661])).
% 51.29/33.93 tff(28663,plain,
% 51.29/33.93 (~m_processor_v_cmd(c_p0, s7, c_write_h_invalid)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[25982, 1669, 28662, 24696])).
% 51.29/33.93 tff(28664,plain,
% 51.29/33.93 (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[24382, 25837])).
% 51.29/33.93 tff(28665,plain,
% 51.29/33.93 (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[15275, 438, 14438, 15318, 28664, 28661, 28660])).
% 51.29/33.93 tff(28666,plain,
% 51.29/33.93 (~m_main_v_CMD(s7, c_write_h_resp_h_invalid)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[25875, 28665])).
% 51.29/33.93 tff(28667,plain,
% 51.29/33.93 (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[25967, 1669, 28666, 24696])).
% 51.29/33.93 tff(28668,plain,
% 51.29/33.93 ((~m_processor_v_state(c_p0, s7, c_owned)) | node62(c_p0, s7) | node63(c_p0, s7) | m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s7, c_owned))),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[25974, 7172, 14621])).
% 51.29/33.93 tff(28669,plain,
% 51.29/33.93 (~m_processor_v_snoop(c_p0, s7, c_owned)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28668, 28667, 2313, 28608, 25984])).
% 51.29/33.93 tff(28670,plain,
% 51.29/33.93 (m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[26022, 28669, 14621, 25984, 28608, 28663, 2313])).
% 51.29/33.93 tff(28671,plain,
% 51.29/33.93 (m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s7, c_write_h_shared))),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[15257, 456, 14468, 15318, 28664, 28661, 28660])).
% 51.29/33.93 tff(28672,plain,
% 51.29/33.93 (~m_processor_v_CMD(c_p0, s7, c_write_h_shared)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28671, 28665])).
% 51.29/33.93 tff(28673,plain,
% 51.29/33.93 (m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_invalid) | m_processor_v_CMD(c_p0, s7, c_write_h_shared) | (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared))),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[15288, 492, 14468, 15318, 28664, 28661, 28660])).
% 51.29/33.93 tff(28674,plain,
% 51.29/33.93 (~m_processor_v_CMD(c_p0, s7, c_write_h_resp_h_shared)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28673, 28672, 28665])).
% 51.29/33.93 tff(28675,plain,
% 51.29/33.93 (~m_main_v_CMD(s7, c_write_h_resp_h_shared)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[25866, 28674])).
% 51.29/33.93 tff(28676,plain,
% 51.29/33.93 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)) | m_main_v_CMD(s7, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)) | m_main_v_CMD(s7, c_write_h_resp_h_shared))),
% 51.29/33.93 inference(rewrite,[status(thm)],[])).
% 51.29/33.93 tff(28677,plain,
% 51.29/33.93 ((m_main_v_CMD(s7, c_write_h_resp_h_shared) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared))) <=> ((~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)) | m_main_v_CMD(s7, c_write_h_resp_h_shared))),
% 51.29/33.93 inference(rewrite,[status(thm)],[])).
% 51.29/33.93 tff(28678,plain,
% 51.29/33.93 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s7, c_write_h_resp_h_shared) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | ((~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)) | m_main_v_CMD(s7, c_write_h_resp_h_shared)))),
% 51.29/33.93 inference(monotonicity,[status(thm)],[28677])).
% 51.29/33.93 tff(28679,plain,
% 51.29/33.93 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s7, c_write_h_resp_h_shared) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)) | m_main_v_CMD(s7, c_write_h_resp_h_shared))),
% 51.29/33.93 inference(transitivity,[status(thm)],[28678, 28676])).
% 51.29/33.93 tff(28680,plain,
% 51.29/33.93 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (m_main_v_CMD(s7, c_write_h_resp_h_shared) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)))),
% 51.29/33.93 inference(quant_inst,[status(thm)],[])).
% 51.29/33.93 tff(28681,plain,
% 51.29/33.93 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node8(X)) | (~m_processor_v_cmd(c_p0, X, V)))) | (~node8(s7)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)) | m_main_v_CMD(s7, c_write_h_resp_h_shared)),
% 51.29/33.93 inference(modus_ponens,[status(thm)],[28680, 28679])).
% 51.29/33.93 tff(28682,plain,
% 51.29/33.93 ($false),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28681, 1669, 28675, 28670, 24696])).
% 51.29/33.93 tff(28683,plain,(m_processor_v_abort(c_p0, s7) | (~m_processor_v_master(c_p0, s7)) | node63(c_p0, s7) | (~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_state(c_p0, s8, c_invalid) | (~m_processor_v_REPLY_h_WAITING(c_p0, s7))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.93 tff(28684,plain,
% 51.29/33.93 ($false),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28683, 28659, 28658, 14621, 2313, 25984, 28656, 23492])).
% 51.29/33.93 tff(28685,plain,(m_processor_v_state(c_p0, s8, c_owned) | (~m_processor_v_master(c_p0, s7)) | (~m_processor_v_state(c_p0, s7, c_owned)) | node63(c_p0, s7) | (~m_processor_v_REPLY_h_WAITING(c_p0, s7)) | (~m_processor_v_state(c_p0, s9, c_owned)) | m_processor_v_waiting(c_p0, s9)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.93 tff(28686,plain,
% 51.29/33.93 (m_processor_v_state(c_p0, s8, c_owned)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28685, 26816, 26777, 28653, 28649, 26796, 26798])).
% 51.29/33.93 tff(28687,plain,
% 51.29/33.93 (~m_processor_v_state(c_p0, s8, c_invalid)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[14429, 28686])).
% 51.29/33.93 tff(28688,plain,
% 51.29/33.93 (m_processor_v_abort(c_p0, s7)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[25841, 28687, 26777, 28651, 28649, 28644])).
% 51.29/33.93 tff(28689,plain,
% 51.29/33.93 (~node60(c_p1, s7)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[25814, 28688])).
% 51.29/33.93 tff(28690,plain,
% 51.29/33.93 (m_processor_v_abort(c_p1, s7)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[24175, 28689])).
% 51.29/33.93 tff(28691,plain,
% 51.29/33.93 (node46(c_p1, s7, s8)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[25385, 28690])).
% 51.29/33.93 tff(28692,plain,
% 51.29/33.93 (m_processor_v_waiting(c_p1, s8)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[25747, 28691, 26813])).
% 51.29/33.93 tff(28693,plain,
% 51.29/33.93 (~node52(c_p1, s8, s9)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[26219, 28692, 26789])).
% 51.29/33.93 tff(28694,assumption,(~node45(c_p0, s7, s8)), introduced(assumption)).
% 51.29/33.93 tff(28695,plain,
% 51.29/33.93 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s7, s8)) | node45(c_p0, s7, s8))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s7, s8)) | node45(c_p0, s7, s8))),
% 51.29/33.93 inference(rewrite,[status(thm)],[])).
% 51.29/33.93 tff(28696,plain,
% 51.29/33.93 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s7, s8)) | node45(c_p0, s7, s8))),
% 51.29/33.93 inference(quant_inst,[status(thm)],[])).
% 51.29/33.93 tff(28697,plain,
% 51.29/33.93 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s7, s8)) | node45(c_p0, s7, s8)),
% 51.29/33.93 inference(modus_ponens,[status(thm)],[28696, 28695])).
% 51.29/33.93 tff(28698,plain,
% 51.29/33.93 ($false),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28697, 7503, 13037, 28694])).
% 51.29/33.93 tff(28699,plain,(node45(c_p0, s7, s8)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.93 tff(28700,plain,
% 51.29/33.93 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s7)) | node39(c_p0, s7, s8) | (~node45(c_p0, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s7)) | node39(c_p0, s7, s8) | (~node45(c_p0, s7, s8)))),
% 51.29/33.93 inference(rewrite,[status(thm)],[])).
% 51.29/33.93 tff(28701,plain,
% 51.29/33.93 ((node39(c_p0, s7, s8) | (~m_processor_v_abort(c_p0, s7)) | (~node45(c_p0, s7, s8))) <=> ((~m_processor_v_abort(c_p0, s7)) | node39(c_p0, s7, s8) | (~node45(c_p0, s7, s8)))),
% 51.29/33.93 inference(rewrite,[status(thm)],[])).
% 51.29/33.93 tff(28702,plain,
% 51.29/33.93 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p0, s7, s8) | (~m_processor_v_abort(c_p0, s7)) | (~node45(c_p0, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s7)) | node39(c_p0, s7, s8) | (~node45(c_p0, s7, s8))))),
% 51.29/33.93 inference(monotonicity,[status(thm)],[28701])).
% 51.29/33.93 tff(28703,plain,
% 51.29/33.93 (((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p0, s7, s8) | (~m_processor_v_abort(c_p0, s7)) | (~node45(c_p0, s7, s8)))) <=> ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s7)) | node39(c_p0, s7, s8) | (~node45(c_p0, s7, s8)))),
% 51.29/33.93 inference(transitivity,[status(thm)],[28702, 28700])).
% 51.29/33.93 tff(28704,plain,
% 51.29/33.93 ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (node39(c_p0, s7, s8) | (~m_processor_v_abort(c_p0, s7)) | (~node45(c_p0, s7, s8)))),
% 51.29/33.93 inference(quant_inst,[status(thm)],[])).
% 51.29/33.93 tff(28705,plain,
% 51.29/33.93 ((~![Y: $i, I0: $i, X: $i] : (node39(I0, X, Y) | (~m_processor_v_abort(I0, X)) | (~node45(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s7)) | node39(c_p0, s7, s8) | (~node45(c_p0, s7, s8))),
% 51.29/33.93 inference(modus_ponens,[status(thm)],[28704, 28703])).
% 51.29/33.93 tff(28706,plain,
% 51.29/33.93 ((~m_processor_v_abort(c_p0, s7)) | node39(c_p0, s7, s8)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28705, 7518, 28699])).
% 51.29/33.93 tff(28707,plain,
% 51.29/33.93 (node39(c_p0, s7, s8)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28706, 28688])).
% 51.29/33.93 tff(28708,plain,
% 51.29/33.93 (~m_processor_v_snoop(c_p0, s7, c_shared)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28601, 4096, 28597])).
% 51.29/33.93 tff(28709,plain,
% 51.29/33.93 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | (m_processor_v_snoop(c_p0, s7, c_shared) | (~m_processor_v_snoop(c_p0, s8, c_shared)) | (~node39(c_p0, s7, s8)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | m_processor_v_snoop(c_p0, s7, c_shared) | (~m_processor_v_snoop(c_p0, s8, c_shared)) | (~node39(c_p0, s7, s8)))),
% 51.29/33.93 inference(rewrite,[status(thm)],[])).
% 51.29/33.93 tff(28710,plain,
% 51.29/33.93 (((~node39(c_p0, s7, s8)) | m_processor_v_snoop(c_p0, s7, c_shared) | (~m_processor_v_snoop(c_p0, s8, c_shared))) <=> (m_processor_v_snoop(c_p0, s7, c_shared) | (~m_processor_v_snoop(c_p0, s8, c_shared)) | (~node39(c_p0, s7, s8)))),
% 51.29/33.93 inference(rewrite,[status(thm)],[])).
% 51.29/33.93 tff(28711,plain,
% 51.29/33.93 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | ((~node39(c_p0, s7, s8)) | m_processor_v_snoop(c_p0, s7, c_shared) | (~m_processor_v_snoop(c_p0, s8, c_shared)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | (m_processor_v_snoop(c_p0, s7, c_shared) | (~m_processor_v_snoop(c_p0, s8, c_shared)) | (~node39(c_p0, s7, s8))))),
% 51.29/33.93 inference(monotonicity,[status(thm)],[28710])).
% 51.29/33.93 tff(28712,plain,
% 51.29/33.93 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | ((~node39(c_p0, s7, s8)) | m_processor_v_snoop(c_p0, s7, c_shared) | (~m_processor_v_snoop(c_p0, s8, c_shared)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | m_processor_v_snoop(c_p0, s7, c_shared) | (~m_processor_v_snoop(c_p0, s8, c_shared)) | (~node39(c_p0, s7, s8)))),
% 51.29/33.93 inference(transitivity,[status(thm)],[28711, 28709])).
% 51.29/33.93 tff(28713,plain,
% 51.29/33.93 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | ((~node39(c_p0, s7, s8)) | m_processor_v_snoop(c_p0, s7, c_shared) | (~m_processor_v_snoop(c_p0, s8, c_shared)))),
% 51.29/33.93 inference(quant_inst,[status(thm)],[])).
% 51.29/33.93 tff(28714,plain,
% 51.29/33.93 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node39(I0, X, Y)) | m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)))) | m_processor_v_snoop(c_p0, s7, c_shared) | (~m_processor_v_snoop(c_p0, s8, c_shared)) | (~node39(c_p0, s7, s8))),
% 51.29/33.93 inference(modus_ponens,[status(thm)],[28713, 28712])).
% 51.29/33.93 tff(28715,plain,
% 51.29/33.93 (~m_processor_v_snoop(c_p0, s8, c_shared)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28714, 12808, 28708, 28707])).
% 51.29/33.93 tff(28716,plain,
% 51.29/33.93 (~node46(c_p1, s8, s9)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[26185, 28692, 26789])).
% 51.29/33.93 tff(28717,plain,
% 51.29/33.93 (~m_processor_v_abort(c_p1, s8)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[26193, 28716])).
% 51.29/33.93 tff(28718,plain,
% 51.29/33.93 (node60(c_p1, s8)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[15039, 28717])).
% 51.29/33.93 tff(28719,plain,
% 51.29/33.93 (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[26247, 28692, 26789])).
% 51.29/33.93 tff(28720,plain,
% 51.29/33.93 (~m_main_v_CMD(s8, c_read_h_owned)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[15519, 28719])).
% 51.29/33.93 tff(28721,plain,
% 51.29/33.93 (~m_processor_v_CMD(c_p0, s8, c_read_h_owned)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[15523, 1612, 15085, 28720])).
% 51.29/33.93 tff(28722,plain,
% 51.29/33.93 (~m_processor_v_abort(c_p0, s8)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[15129, 28721, 28718])).
% 51.29/33.93 tff(28723,plain,
% 51.29/33.93 (~m_processor_v_master(c_p0, s8)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[26406, 14814, 14758, 14838, 14780, 14422])).
% 51.29/33.93 tff(28724,plain,
% 51.29/33.93 (m_processor_v_cmd(c_p0, s8, c_idle)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[15788, 14772, 15529])).
% 51.29/33.93 tff(28725,plain,
% 51.29/33.93 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | (m_processor_v_master(c_p0, s8) | (~node43(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | m_processor_v_master(c_p0, s8) | (~node43(c_p0, s8)))),
% 51.29/33.93 inference(rewrite,[status(thm)],[])).
% 51.29/33.93 tff(28726,plain,
% 51.29/33.93 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | (m_processor_v_master(c_p0, s8) | (~node43(c_p0, s8)))),
% 51.29/33.93 inference(quant_inst,[status(thm)],[])).
% 51.29/33.93 tff(28727,plain,
% 51.29/33.93 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node43(I0, X)))) | m_processor_v_master(c_p0, s8) | (~node43(c_p0, s8))),
% 51.29/33.93 inference(modus_ponens,[status(thm)],[28726, 28725])).
% 51.29/33.93 tff(28728,plain,
% 51.29/33.93 (~node43(c_p0, s8)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28727, 8159, 14772])).
% 51.29/33.93 tff(28729,assumption,(~node44(c_p0, s8, s9)), introduced(assumption)).
% 51.29/33.93 tff(28730,plain,
% 51.29/33.93 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | (m_processor_v_master(c_p0, s8) | (~node42(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | m_processor_v_master(c_p0, s8) | (~node42(c_p0, s8)))),
% 51.29/33.93 inference(rewrite,[status(thm)],[])).
% 51.29/33.93 tff(28731,plain,
% 51.29/33.93 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | (m_processor_v_master(c_p0, s8) | (~node42(c_p0, s8)))),
% 51.29/33.93 inference(quant_inst,[status(thm)],[])).
% 51.29/33.93 tff(28732,plain,
% 51.29/33.93 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node42(I0, X)))) | m_processor_v_master(c_p0, s8) | (~node42(c_p0, s8))),
% 51.29/33.93 inference(modus_ponens,[status(thm)],[28731, 28730])).
% 51.29/33.93 tff(28733,plain,
% 51.29/33.93 (~node42(c_p0, s8)),
% 51.29/33.93 inference(unit_resolution,[status(thm)],[28732, 8170, 14772])).
% 51.29/33.93 tff(28734,assumption,(~node43(c_p0, s8)), introduced(assumption)).
% 51.29/33.93 tff(28735,assumption,(~node42(c_p0, s8)), introduced(assumption)).
% 51.29/33.93 tff(28736,assumption,(node40(c_p0, s8)), introduced(assumption)).
% 51.29/33.93 tff(28737,plain,
% 51.29/33.93 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | (m_processor_v_CMD(c_p0, s8, c_read_h_shared) | (~node40(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | (~node40(c_p0, s8)))),
% 51.29/33.93 inference(rewrite,[status(thm)],[])).
% 51.29/33.93 tff(28738,plain,
% 51.29/33.93 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | (m_processor_v_CMD(c_p0, s8, c_read_h_shared) | (~node40(c_p0, s8)))),
% 51.29/33.94 inference(quant_inst,[status(thm)],[])).
% 51.29/33.94 tff(28739,plain,
% 51.29/33.94 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node40(I0, X)))) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | (~node40(c_p0, s8))),
% 51.29/33.94 inference(modus_ponens,[status(thm)],[28738, 28737])).
% 51.29/33.94 tff(28740,plain,
% 51.29/33.94 ($false),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[28739, 8367, 14967, 28736])).
% 51.29/33.94 tff(28741,plain,((~node40(c_p0, s8)) | m_processor_v_CMD(c_p0, s8, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.94 tff(28742,plain,
% 51.29/33.94 (~node40(c_p0, s8)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[28741, 14967])).
% 51.29/33.94 tff(28743,assumption,(node41(c_p0, s8)), introduced(assumption)).
% 51.29/33.94 tff(28744,plain,
% 51.29/33.94 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | (m_processor_v_CMD(c_p0, s8, c_read_h_shared) | (~node41(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | (~node41(c_p0, s8)))),
% 51.29/33.94 inference(rewrite,[status(thm)],[])).
% 51.29/33.94 tff(28745,plain,
% 51.29/33.94 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | (m_processor_v_CMD(c_p0, s8, c_read_h_shared) | (~node41(c_p0, s8)))),
% 51.29/33.94 inference(quant_inst,[status(thm)],[])).
% 51.29/33.94 tff(28746,plain,
% 51.29/33.94 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | (~node41(I0, X)))) | m_processor_v_CMD(c_p0, s8, c_read_h_shared) | (~node41(c_p0, s8))),
% 51.29/33.94 inference(modus_ponens,[status(thm)],[28745, 28744])).
% 51.29/33.94 tff(28747,plain,
% 51.29/33.94 ($false),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[28746, 8378, 14967, 28743])).
% 51.29/33.94 tff(28748,plain,((~node41(c_p0, s8)) | m_processor_v_CMD(c_p0, s8, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.94 tff(28749,plain,
% 51.29/33.94 (~node41(c_p0, s8)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[28748, 14967])).
% 51.29/33.94 tff(28750,plain,
% 51.29/33.94 (((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s8, s9)) | node45(c_p0, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s8, s9)) | node45(c_p0, s8, s9))),
% 51.29/33.94 inference(rewrite,[status(thm)],[])).
% 51.29/33.94 tff(28751,plain,
% 51.29/33.94 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | ((~trans(s8, s9)) | node45(c_p0, s8, s9))),
% 51.29/33.94 inference(quant_inst,[status(thm)],[])).
% 51.29/33.94 tff(28752,plain,
% 51.29/33.94 ((~![Y: $i, I0: $i, X: $i] : ((~trans(X, Y)) | node45(I0, X, Y))) | (~trans(s8, s9)) | node45(c_p0, s8, s9)),
% 51.29/33.94 inference(modus_ponens,[status(thm)],[28751, 28750])).
% 51.29/33.94 tff(28753,plain,
% 51.29/33.94 (node45(c_p0, s8, s9)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[28752, 7503, 6377])).
% 51.29/33.94 tff(28754,plain,
% 51.29/33.94 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s8) | node41(c_p0, s8) | node42(c_p0, s8) | node43(c_p0, s8) | node40(c_p0, s8) | (~node45(c_p0, s8, s9)) | node44(c_p0, s8, s9))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p0, s8) | node41(c_p0, s8) | node42(c_p0, s8) | node43(c_p0, s8) | node40(c_p0, s8) | (~node45(c_p0, s8, s9)) | node44(c_p0, s8, s9))),
% 51.29/33.94 inference(rewrite,[status(thm)],[])).
% 51.29/33.94 tff(28755,plain,
% 51.29/33.94 ((m_processor_v_abort(c_p0, s8) | node40(c_p0, s8) | node41(c_p0, s8) | node42(c_p0, s8) | node43(c_p0, s8) | node44(c_p0, s8, s9) | (~node45(c_p0, s8, s9))) <=> (m_processor_v_abort(c_p0, s8) | node41(c_p0, s8) | node42(c_p0, s8) | node43(c_p0, s8) | node40(c_p0, s8) | (~node45(c_p0, s8, s9)) | node44(c_p0, s8, s9))),
% 51.29/33.94 inference(rewrite,[status(thm)],[])).
% 51.29/33.94 tff(28756,plain,
% 51.29/33.94 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s8) | node40(c_p0, s8) | node41(c_p0, s8) | node42(c_p0, s8) | node43(c_p0, s8) | node44(c_p0, s8, s9) | (~node45(c_p0, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s8) | node41(c_p0, s8) | node42(c_p0, s8) | node43(c_p0, s8) | node40(c_p0, s8) | (~node45(c_p0, s8, s9)) | node44(c_p0, s8, s9)))),
% 51.29/33.94 inference(monotonicity,[status(thm)],[28755])).
% 51.29/33.94 tff(28757,plain,
% 51.29/33.94 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s8) | node40(c_p0, s8) | node41(c_p0, s8) | node42(c_p0, s8) | node43(c_p0, s8) | node44(c_p0, s8, s9) | (~node45(c_p0, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p0, s8) | node41(c_p0, s8) | node42(c_p0, s8) | node43(c_p0, s8) | node40(c_p0, s8) | (~node45(c_p0, s8, s9)) | node44(c_p0, s8, s9))),
% 51.29/33.94 inference(transitivity,[status(thm)],[28756, 28754])).
% 51.29/33.94 tff(28758,plain,
% 51.29/33.94 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | (m_processor_v_abort(c_p0, s8) | node40(c_p0, s8) | node41(c_p0, s8) | node42(c_p0, s8) | node43(c_p0, s8) | node44(c_p0, s8, s9) | (~node45(c_p0, s8, s9)))),
% 51.29/33.94 inference(quant_inst,[status(thm)],[])).
% 51.29/33.94 tff(28759,plain,
% 51.29/33.94 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node40(I0, X) | node41(I0, X) | node42(I0, X) | node43(I0, X) | node44(I0, X, Y) | (~node45(I0, X, Y)))) | m_processor_v_abort(c_p0, s8) | node41(c_p0, s8) | node42(c_p0, s8) | node43(c_p0, s8) | node40(c_p0, s8) | (~node45(c_p0, s8, s9)) | node44(c_p0, s8, s9)),
% 51.29/33.94 inference(modus_ponens,[status(thm)],[28758, 28757])).
% 51.29/33.94 tff(28760,plain,
% 51.29/33.94 (m_processor_v_abort(c_p0, s8) | node41(c_p0, s8) | node42(c_p0, s8) | node43(c_p0, s8) | node40(c_p0, s8) | node44(c_p0, s8, s9)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[28759, 7596, 28753])).
% 51.29/33.94 tff(28761,plain,
% 51.29/33.94 ($false),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[28760, 28749, 28742, 28729, 14814, 28735, 28734])).
% 51.29/33.94 tff(28762,plain,(m_processor_v_CMD(c_p0, s8, c_read_h_shared) | node44(c_p0, s8, s9) | m_processor_v_abort(c_p0, s8) | node42(c_p0, s8) | node43(c_p0, s8)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.94 tff(28763,plain,
% 51.29/33.94 (m_processor_v_CMD(c_p0, s8, c_read_h_shared)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[28762, 28733, 14814, 28729, 28728])).
% 51.29/33.94 tff(28764,plain,
% 51.29/33.94 (m_main_v_CMD(s8, c_read_h_shared)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[15090, 28763])).
% 51.29/33.94 tff(28765,plain,
% 51.29/33.94 (~m_processor_v_cmd(c_p1, s8, c_idle)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[26367, 28724, 14422, 28764])).
% 51.29/33.94 tff(28766,plain,
% 51.29/33.94 (m_processor_v_master(c_p1, s8)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[15639, 28765])).
% 51.29/33.94 tff(28767,plain,
% 51.29/33.94 (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[15854, 28766, 6290, 15836])).
% 51.29/33.94 tff(28768,plain,
% 51.29/33.94 ($false),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[15097, 1945, 6484, 28767, 28764])).
% 51.29/33.94 tff(28769,plain,(m_processor_v_master(c_p0, s8) | m_processor_v_waiting(c_p1, s9) | (~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_abort(c_p0, s8) | node44(c_p0, s8, s9)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.94 tff(28770,plain,
% 51.29/33.94 (node44(c_p0, s8, s9)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[28769, 14772, 14422, 6290, 14814])).
% 51.29/33.94 tff(28771,assumption,(node44(c_p0, s8, s9)), introduced(assumption)).
% 51.29/33.94 tff(28772,assumption,(m_processor_v_snoop(c_p0, s9, c_shared)), introduced(assumption)).
% 51.29/33.94 tff(28773,plain,
% 51.29/33.94 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p0, s8, c_shared) | (~m_processor_v_snoop(c_p0, s9, c_shared)) | (~node44(c_p0, s8, s9)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p0, s8, c_shared) | (~m_processor_v_snoop(c_p0, s9, c_shared)) | (~node44(c_p0, s8, s9)))),
% 51.29/33.94 inference(rewrite,[status(thm)],[])).
% 51.29/33.94 tff(28774,plain,
% 51.29/33.94 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p0, s8, c_shared) | (~m_processor_v_snoop(c_p0, s9, c_shared)) | (~node44(c_p0, s8, s9)))),
% 51.29/33.94 inference(quant_inst,[status(thm)],[])).
% 51.29/33.94 tff(28775,plain,
% 51.29/33.94 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p0, s8, c_shared) | (~m_processor_v_snoop(c_p0, s9, c_shared)) | (~node44(c_p0, s8, s9))),
% 51.29/33.94 inference(modus_ponens,[status(thm)],[28774, 28773])).
% 51.29/33.94 tff(28776,plain,
% 51.29/33.94 ($false),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[28775, 10976, 16144, 28772, 28771])).
% 51.29/33.94 tff(28777,plain,((~m_processor_v_snoop(c_p0, s9, c_shared)) | m_processor_v_snoop(c_p0, s8, c_shared) | (~node44(c_p0, s8, s9))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.94 tff(28778,plain,
% 51.29/33.94 (~m_processor_v_snoop(c_p0, s9, c_shared)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[28777, 28770, 16144])).
% 51.29/33.94 tff(28779,plain,
% 51.29/33.94 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_master(c_p0, s8) | m_processor_v_abort(c_p0, s8) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | m_processor_v_snoop(c_p0, s9, c_shared) | (~node45(c_p0, s8, s9)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | (~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_master(c_p0, s8) | m_processor_v_abort(c_p0, s8) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | m_processor_v_snoop(c_p0, s9, c_shared) | (~node45(c_p0, s8, s9)))),
% 51.29/33.94 inference(rewrite,[status(thm)],[])).
% 51.29/33.94 tff(28780,plain,
% 51.29/33.94 (((~m_processor_v_state(c_p0, s8, c_owned)) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | m_processor_v_master(c_p0, s8) | m_processor_v_abort(c_p0, s8) | (~node45(c_p0, s8, s9)) | m_processor_v_snoop(c_p0, s9, c_shared)) <=> ((~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_master(c_p0, s8) | m_processor_v_abort(c_p0, s8) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | m_processor_v_snoop(c_p0, s9, c_shared) | (~node45(c_p0, s8, s9)))),
% 51.29/33.94 inference(rewrite,[status(thm)],[])).
% 51.29/33.94 tff(28781,plain,
% 51.29/33.94 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p0, s8, c_owned)) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | m_processor_v_master(c_p0, s8) | m_processor_v_abort(c_p0, s8) | (~node45(c_p0, s8, s9)) | m_processor_v_snoop(c_p0, s9, c_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_master(c_p0, s8) | m_processor_v_abort(c_p0, s8) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | m_processor_v_snoop(c_p0, s9, c_shared) | (~node45(c_p0, s8, s9))))),
% 51.29/33.94 inference(monotonicity,[status(thm)],[28780])).
% 51.29/33.94 tff(28782,plain,
% 51.29/33.94 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p0, s8, c_owned)) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | m_processor_v_master(c_p0, s8) | m_processor_v_abort(c_p0, s8) | (~node45(c_p0, s8, s9)) | m_processor_v_snoop(c_p0, s9, c_shared))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | (~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_master(c_p0, s8) | m_processor_v_abort(c_p0, s8) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | m_processor_v_snoop(c_p0, s9, c_shared) | (~node45(c_p0, s8, s9)))),
% 51.29/33.94 inference(transitivity,[status(thm)],[28781, 28779])).
% 51.29/33.94 tff(28783,plain,
% 51.29/33.94 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | ((~m_processor_v_state(c_p0, s8, c_owned)) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | m_processor_v_master(c_p0, s8) | m_processor_v_abort(c_p0, s8) | (~node45(c_p0, s8, s9)) | m_processor_v_snoop(c_p0, s9, c_shared))),
% 51.29/33.94 inference(quant_inst,[status(thm)],[])).
% 51.29/33.94 tff(28784,plain,
% 51.29/33.94 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | (~m_processor_v_CMD(I0, X, c_read_h_shared)) | m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | (~node45(I0, X, Y)) | m_processor_v_snoop(I0, Y, c_shared))) | (~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_master(c_p0, s8) | m_processor_v_abort(c_p0, s8) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | m_processor_v_snoop(c_p0, s9, c_shared) | (~node45(c_p0, s8, s9))),
% 51.29/33.94 inference(modus_ponens,[status(thm)],[28783, 28782])).
% 51.29/33.94 tff(28785,plain,
% 51.29/33.94 ((~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_master(c_p0, s8) | m_processor_v_abort(c_p0, s8) | (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)) | m_processor_v_snoop(c_p0, s9, c_shared)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[28784, 8742, 28753])).
% 51.29/33.94 tff(28786,plain,
% 51.29/33.94 (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[28785, 28778, 14422, 14772, 14814])).
% 51.29/33.94 tff(28787,plain,
% 51.29/33.94 (~m_main_v_CMD(s8, c_read_h_shared)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[15817, 28786])).
% 51.29/33.94 tff(28788,plain,
% 51.29/33.94 (~m_processor_v_CMD(c_p1, s8, c_read_h_shared)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[6511, 28787])).
% 51.29/33.94 tff(28789,plain,
% 51.29/33.94 (~node47(c_p1, s8)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[6515, 657, 28788])).
% 51.29/33.94 tff(28790,plain,
% 51.29/33.94 (m_processor_v_cmd(c_p1, s8, c_idle)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[16137, 28789, 6288, 15836, 6290, 6289, 13022])).
% 51.29/33.94 tff(28791,plain,
% 51.29/33.94 (m_main_v_CMD(s8, c_idle)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[16035, 28790, 28724, 15510])).
% 51.29/33.94 tff(28792,plain,
% 51.29/33.94 (~m_main_v_CMD(s8, c_response)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[16053, 10097, 28791])).
% 51.29/33.94 tff(28793,plain,
% 51.29/33.94 (~m_processor_v_CMD(c_p1, s8, c_response)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[26254, 1260, 6484, 28792])).
% 51.29/33.94 tff(28794,plain,
% 51.29/33.94 (~m_main_v_CMD(s8, c_write_h_resp_h_invalid)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[16068, 7663, 28791])).
% 51.29/33.94 tff(28795,plain,
% 51.29/33.94 (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_invalid)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[26262, 28794])).
% 51.29/33.94 tff(28796,plain,
% 51.29/33.94 (~m_main_v_CMD(s8, c_write_h_resp_h_shared)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[16039, 7650, 28791])).
% 51.29/33.94 tff(28797,plain,
% 51.29/33.94 (node60(c_p1, s8)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[15039, 15836])).
% 51.29/33.94 tff(28798,plain,
% 51.29/33.94 (~m_processor_v_REPLY_h_STALL(c_p1, s8)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[15048, 28797])).
% 51.29/33.94 tff(28799,plain,
% 51.29/33.94 (~m_main_v_REPLY_h_STALL(s8)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[15056, 28798])).
% 51.29/33.94 tff(28800,assumption,(~node7(s8)), introduced(assumption)).
% 51.29/33.94 tff(28801,plain,
% 51.29/33.94 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | (m_main_v_REPLY_h_STALL(s8) | node7(s8))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | m_main_v_REPLY_h_STALL(s8) | node7(s8))),
% 51.29/33.94 inference(rewrite,[status(thm)],[])).
% 51.29/33.94 tff(28802,plain,
% 51.29/33.94 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | (m_main_v_REPLY_h_STALL(s8) | node7(s8))),
% 51.29/33.94 inference(quant_inst,[status(thm)],[])).
% 51.29/33.94 tff(28803,plain,
% 51.29/33.94 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | node7(X))) | m_main_v_REPLY_h_STALL(s8) | node7(s8)),
% 51.29/33.94 inference(modus_ponens,[status(thm)],[28802, 28801])).
% 51.29/33.94 tff(28804,plain,
% 51.29/33.94 ($false),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[28803, 3905, 15059, 28800])).
% 51.29/33.94 tff(28805,plain,(node7(s8) | m_main_v_REPLY_h_STALL(s8)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.94 tff(28806,plain,
% 51.29/33.94 (node7(s8)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[28805, 28799])).
% 51.29/33.94 tff(28807,assumption,(m_memory_v_reply_h_stall(c_m, s8)), introduced(assumption)).
% 51.29/33.94 tff(28808,assumption,(node7(s8)), introduced(assumption)).
% 51.29/33.94 tff(28809,plain,
% 51.29/33.94 (((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | ((~node7(s8)) | (~m_memory_v_reply_h_stall(c_m, s8)))) <=> ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | (~node7(s8)) | (~m_memory_v_reply_h_stall(c_m, s8)))),
% 51.29/33.94 inference(rewrite,[status(thm)],[])).
% 51.29/33.94 tff(28810,plain,
% 51.29/33.94 ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | ((~node7(s8)) | (~m_memory_v_reply_h_stall(c_m, s8)))),
% 51.29/33.94 inference(quant_inst,[status(thm)],[])).
% 51.29/33.94 tff(28811,plain,
% 51.29/33.94 ((~![X: $i] : ((~node7(X)) | (~m_memory_v_reply_h_stall(c_m, X)))) | (~node7(s8)) | (~m_memory_v_reply_h_stall(c_m, s8))),
% 51.29/33.94 inference(modus_ponens,[status(thm)],[28810, 28809])).
% 51.29/33.94 tff(28812,plain,
% 51.29/33.94 ($false),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[28811, 3923, 28808, 28807])).
% 51.29/33.94 tff(28813,plain,((~m_memory_v_reply_h_stall(c_m, s8)) | (~node7(s8))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.94 tff(28814,plain,
% 51.29/33.94 (~m_memory_v_reply_h_stall(c_m, s8)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[28813, 28806])).
% 51.29/33.94 tff(28815,assumption,(node48(c_p1, s8)), introduced(assumption)).
% 51.29/33.94 tff(28816,plain,
% 51.29/33.94 (m_processor_v_CMD(c_p1, s8, c_read_h_owned)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[26266, 16883, 28815])).
% 51.29/33.94 tff(28817,plain,
% 51.29/33.94 (m_main_v_CMD(s8, c_read_h_owned)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[6489, 28816])).
% 51.29/33.94 tff(28818,plain,
% 51.29/33.94 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s8, c_read_h_owned)) | (~m_main_v_CMD(s8, c_response)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s8, c_read_h_owned)) | (~m_main_v_CMD(s8, c_response)))),
% 51.29/33.94 inference(rewrite,[status(thm)],[])).
% 51.29/33.94 tff(28819,plain,
% 51.29/33.94 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))) | ((~m_main_v_CMD(s8, c_read_h_owned)) | (~m_main_v_CMD(s8, c_response)))),
% 51.29/33.94 inference(quant_inst,[status(thm)],[])).
% 51.29/33.94 tff(28820,plain,
% 51.29/33.94 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_owned)) | (~m_main_v_CMD(X, c_response)))) | (~m_main_v_CMD(s8, c_read_h_owned)) | (~m_main_v_CMD(s8, c_response))),
% 51.29/33.94 inference(modus_ponens,[status(thm)],[28819, 28818])).
% 51.29/33.94 tff(28821,plain,
% 51.29/33.94 (~m_main_v_CMD(s8, c_response)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[28820, 12316, 28817])).
% 51.29/33.94 tff(28822,plain,
% 51.29/33.94 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p1, s8) | (~node48(c_p1, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p1, s8) | (~node48(c_p1, s8)))),
% 51.29/33.94 inference(rewrite,[status(thm)],[])).
% 51.29/33.94 tff(28823,plain,
% 51.29/33.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p1, s8) | (~node48(c_p1, s8)))),
% 51.29/33.94 inference(quant_inst,[status(thm)],[])).
% 51.29/33.94 tff(28824,plain,
% 51.29/33.94 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p1, s8) | (~node48(c_p1, s8))),
% 51.29/33.94 inference(modus_ponens,[status(thm)],[28823, 28822])).
% 51.29/33.94 tff(28825,plain,
% 51.29/33.94 (m_processor_v_master(c_p1, s8)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[28824, 11562, 28815])).
% 51.29/33.94 tff(28826,plain,
% 51.29/33.94 (~node16(s8)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[15982, 28825])).
% 51.29/33.94 tff(28827,plain,
% 51.29/33.94 (~m_processor_v_master(c_p2, s8)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[15569, 28826])).
% 51.29/33.94 tff(28828,plain,
% 51.29/33.94 (m_processor_v_cmd(c_p2, s8, c_idle)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[15601, 28827])).
% 51.29/33.94 tff(28829,plain,
% 51.29/33.94 (~m_processor_v_master(c_p0, s8)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[15608, 28825])).
% 51.29/33.94 tff(28830,plain,
% 51.29/33.94 (m_processor_v_cmd(c_p0, s8, c_idle)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[15788, 28829, 15668])).
% 51.29/33.94 tff(28831,plain,
% 51.29/33.94 (~m_main_v_CMD(s8, c_idle)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[16101, 1971, 28817])).
% 51.29/33.94 tff(28832,plain,
% 51.29/33.94 (~node8(s8)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[16013, 1669, 28830, 28831])).
% 51.29/33.94 tff(28833,plain,
% 51.29/33.94 (~m_processor_v_cmd(c_p1, s8, c_idle)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[26357, 28832, 28830, 28828, 28821])).
% 51.29/33.94 tff(28834,plain,
% 51.29/33.94 (~node9(s8)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[15846, 3443, 28833])).
% 51.29/33.94 tff(28835,assumption,(~m_memory_v_reply_h_stall(c_m, s8)), introduced(assumption)).
% 51.29/33.94 tff(28836,assumption,(~m_memory_v_CMD(c_m, s8, c_read_h_owned)), introduced(assumption)).
% 51.29/33.94 tff(28837,assumption,(~node1(s8)), introduced(assumption)).
% 51.29/33.94 tff(28838,plain,
% 51.29/33.94 ((~![X: $i] : node1(X)) | node1(s8)),
% 51.29/33.94 inference(quant_inst,[status(thm)],[])).
% 51.29/33.94 tff(28839,plain,
% 51.29/33.94 ($false),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[28838, 4194, 28837])).
% 51.29/33.94 tff(28840,plain,(node1(s8)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.94 tff(28841,plain,
% 51.29/33.94 (((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s8)) | (~m_main_v_CMD(s8, c_read_h_owned)) | m_memory_v_CMD(c_m, s8, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s8)) | (~m_main_v_CMD(s8, c_read_h_owned)) | m_memory_v_CMD(c_m, s8, c_read_h_owned))),
% 51.29/33.94 inference(rewrite,[status(thm)],[])).
% 51.29/33.94 tff(28842,plain,
% 51.29/33.94 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | ((~node1(s8)) | (~m_main_v_CMD(s8, c_read_h_owned)) | m_memory_v_CMD(c_m, s8, c_read_h_owned))),
% 51.29/33.94 inference(quant_inst,[status(thm)],[])).
% 51.29/33.94 tff(28843,plain,
% 51.29/33.94 ((~![V: $i, X: $i] : ((~node1(X)) | (~m_main_v_CMD(X, V)) | m_memory_v_CMD(c_m, X, V))) | (~node1(s8)) | (~m_main_v_CMD(s8, c_read_h_owned)) | m_memory_v_CMD(c_m, s8, c_read_h_owned)),
% 51.29/33.94 inference(modus_ponens,[status(thm)],[28842, 28841])).
% 51.29/33.94 tff(28844,plain,
% 51.29/33.94 ($false),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[28843, 4207, 28840, 15511, 28836])).
% 51.29/33.94 tff(28845,plain,((~m_main_v_CMD(s8, c_read_h_owned)) | m_memory_v_CMD(c_m, s8, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.94 tff(28846,plain,
% 51.29/33.94 (m_memory_v_CMD(c_m, s8, c_read_h_owned)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[28845, 28817])).
% 51.29/33.94 tff(28847,assumption,(node30(c_m, s8)), introduced(assumption)).
% 51.29/33.94 tff(28848,assumption,(m_memory_v_CMD(c_m, s8, c_read_h_owned)), introduced(assumption)).
% 51.29/33.94 tff(28849,plain,
% 51.29/33.94 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | ((~node30(c_m, s8)) | (~m_memory_v_CMD(c_m, s8, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | (~node30(c_m, s8)) | (~m_memory_v_CMD(c_m, s8, c_read_h_owned)))),
% 51.29/33.94 inference(rewrite,[status(thm)],[])).
% 51.29/33.94 tff(28850,plain,
% 51.29/33.94 (((~m_memory_v_CMD(c_m, s8, c_read_h_owned)) | (~node30(c_m, s8))) <=> ((~node30(c_m, s8)) | (~m_memory_v_CMD(c_m, s8, c_read_h_owned)))),
% 51.29/33.94 inference(rewrite,[status(thm)],[])).
% 51.29/33.94 tff(28851,plain,
% 51.29/33.94 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s8, c_read_h_owned)) | (~node30(c_m, s8)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | ((~node30(c_m, s8)) | (~m_memory_v_CMD(c_m, s8, c_read_h_owned))))),
% 51.29/33.94 inference(monotonicity,[status(thm)],[28850])).
% 51.29/33.94 tff(28852,plain,
% 51.29/33.94 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s8, c_read_h_owned)) | (~node30(c_m, s8)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | (~node30(c_m, s8)) | (~m_memory_v_CMD(c_m, s8, c_read_h_owned)))),
% 51.29/33.94 inference(transitivity,[status(thm)],[28851, 28849])).
% 51.29/33.94 tff(28853,plain,
% 51.29/33.94 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s8, c_read_h_owned)) | (~node30(c_m, s8)))),
% 51.29/33.94 inference(quant_inst,[status(thm)],[])).
% 51.29/33.94 tff(28854,plain,
% 51.29/33.94 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | (~node30(c_m, s8)) | (~m_memory_v_CMD(c_m, s8, c_read_h_owned))),
% 51.29/33.94 inference(modus_ponens,[status(thm)],[28853, 28852])).
% 51.29/33.94 tff(28855,plain,
% 51.29/33.94 ($false),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[28854, 5042, 28848, 28847])).
% 51.29/33.94 tff(28856,plain,((~node30(c_m, s8)) | (~m_memory_v_CMD(c_m, s8, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.94 tff(28857,plain,
% 51.29/33.94 (~node30(c_m, s8)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[28856, 28846])).
% 51.29/33.94 tff(28858,assumption,(~node30(c_m, s8)), introduced(assumption)).
% 51.29/33.94 tff(28859,plain,
% 51.29/33.94 (((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | (node30(c_m, s8) | (~m_memory_v_busy(c_m, s8)) | m_memory_v_reply_h_stall(c_m, s8))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | node30(c_m, s8) | (~m_memory_v_busy(c_m, s8)) | m_memory_v_reply_h_stall(c_m, s8))),
% 51.29/33.94 inference(rewrite,[status(thm)],[])).
% 51.29/33.94 tff(28860,plain,
% 51.29/33.94 (((~m_memory_v_busy(c_m, s8)) | node30(c_m, s8) | m_memory_v_reply_h_stall(c_m, s8)) <=> (node30(c_m, s8) | (~m_memory_v_busy(c_m, s8)) | m_memory_v_reply_h_stall(c_m, s8))),
% 51.29/33.94 inference(rewrite,[status(thm)],[])).
% 51.29/33.94 tff(28861,plain,
% 51.29/33.94 (((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | ((~m_memory_v_busy(c_m, s8)) | node30(c_m, s8) | m_memory_v_reply_h_stall(c_m, s8))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | (node30(c_m, s8) | (~m_memory_v_busy(c_m, s8)) | m_memory_v_reply_h_stall(c_m, s8)))),
% 51.29/33.94 inference(monotonicity,[status(thm)],[28860])).
% 51.29/33.94 tff(28862,plain,
% 51.29/33.94 (((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | ((~m_memory_v_busy(c_m, s8)) | node30(c_m, s8) | m_memory_v_reply_h_stall(c_m, s8))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | node30(c_m, s8) | (~m_memory_v_busy(c_m, s8)) | m_memory_v_reply_h_stall(c_m, s8))),
% 51.29/33.94 inference(transitivity,[status(thm)],[28861, 28859])).
% 51.29/33.94 tff(28863,plain,
% 51.29/33.94 ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | ((~m_memory_v_busy(c_m, s8)) | node30(c_m, s8) | m_memory_v_reply_h_stall(c_m, s8))),
% 51.29/33.94 inference(quant_inst,[status(thm)],[])).
% 51.29/33.94 tff(28864,plain,
% 51.29/33.94 ((~![I0: $i, X: $i] : ((~m_memory_v_busy(I0, X)) | node30(I0, X) | m_memory_v_reply_h_stall(I0, X))) | node30(c_m, s8) | (~m_memory_v_busy(c_m, s8)) | m_memory_v_reply_h_stall(c_m, s8)),
% 51.29/33.94 inference(modus_ponens,[status(thm)],[28863, 28862])).
% 51.29/33.94 tff(28865,plain,
% 51.29/33.94 ($false),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[28864, 4819, 28835, 24651, 28858])).
% 51.29/33.94 tff(28866,plain,((~m_memory_v_busy(c_m, s8)) | m_memory_v_reply_h_stall(c_m, s8) | node30(c_m, s8)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.94 tff(28867,plain,
% 51.29/33.94 (~m_memory_v_busy(c_m, s8)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[28866, 28857, 28835])).
% 51.29/33.94 tff(28868,plain,
% 51.29/33.94 (~node29(c_m, s8)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[15481, 2072, 28867])).
% 51.29/33.94 tff(28869,plain,
% 51.29/33.94 (m_memory_v_cmd(c_m, s8, c_idle)),
% 51.29/33.94 inference(unit_resolution,[status(thm)],[15489, 28868])).
% 51.29/33.94 tff(28870,plain,
% 51.29/33.94 (node9(s8) | (~m_memory_v_cmd(c_m, s8, c_idle)) | node10(s8)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[15993, 3461, 28830, 28828])).
% 51.29/33.95 tff(28871,plain,
% 51.29/33.95 (node10(s8)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[28870, 28869, 28834])).
% 51.29/33.95 tff(28872,plain,
% 51.29/33.95 ((~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_shared))),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[15880, 3481, 16139])).
% 51.29/33.95 tff(28873,plain,
% 51.29/33.95 (~m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_shared)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[28872, 28871])).
% 51.29/33.95 tff(28874,plain,
% 51.29/33.95 ((~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_invalid))),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[15921, 3481, 16143])).
% 51.29/33.95 tff(28875,plain,
% 51.29/33.95 (~m_processor_v_cmd(c_p1, s8, c_write_h_resp_h_invalid)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[28874, 28871])).
% 51.29/33.95 tff(28876,plain,
% 51.29/33.95 (~m_processor_v_snoop(c_p1, s8, c_owned)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[15933, 28875, 15886, 28825])).
% 51.29/33.95 tff(28877,plain,
% 51.29/33.95 (~m_main_v_CMD(s8, c_write_h_invalid)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[16105, 12451, 28817])).
% 51.29/33.95 tff(28878,plain,
% 51.29/33.95 ((~node10(s8)) | (~m_processor_v_cmd(c_p1, s8, c_write_h_invalid))),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[15903, 3481, 28877])).
% 51.29/33.95 tff(28879,plain,
% 51.29/33.95 (~m_processor_v_cmd(c_p1, s8, c_write_h_invalid)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[28878, 28871])).
% 51.29/33.95 tff(28880,plain,
% 51.29/33.95 (m_processor_v_snoop(c_p1, s8, c_shared)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[15965, 28879, 13022, 28825, 15886, 28876])).
% 51.29/33.95 tff(28881,plain,
% 51.29/33.95 (node64(c_p1, s8)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[15973, 28880, 15886, 28825, 28873])).
% 51.29/33.95 tff(28882,plain,
% 51.29/33.95 ($false),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[15940, 4082, 28876, 28881])).
% 51.29/33.95 tff(28883,plain,((~node48(c_p1, s8)) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_main_v_CMD(s8, c_write_h_resp_h_shared) | m_main_v_CMD(s8, c_write_h_resp_h_invalid) | m_memory_v_reply_h_stall(c_m, s8) | node63(c_p0, s8)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.95 tff(28884,plain,
% 51.29/33.95 (~node48(c_p1, s8)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[28883, 28794, 13022, 15529, 28814, 28796])).
% 51.29/33.95 tff(28885,plain,
% 51.29/33.95 (~m_processor_v_CMD(c_p1, s8, c_write_h_resp_h_shared)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[26375, 1260, 6484, 28796])).
% 51.29/33.95 tff(28886,plain,
% 51.29/33.95 (node49(c_p1, s8)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[26395, 28885, 26371, 15836, 28789, 28884, 28795])).
% 51.29/33.95 tff(28887,plain,
% 51.29/33.95 ($false),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[26399, 11579, 28886, 28793])).
% 51.29/33.95 tff(28888,plain,(m_processor_v_master(c_p0, s8) | node52(c_p1, s8, s9) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~m_memory_v_cmd(c_m, s8, c_idle)) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_waiting(c_p1, s9) | m_processor_v_state(c_p1, s9, c_shared) | (~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_abort(c_p0, s8) | m_processor_v_snoop(c_p0, s8, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.95 tff(28889,plain,
% 51.29/33.95 ($false),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[28888, 28723, 14814, 13022, 15510, 6288, 6290, 6289, 14422, 16144, 26371])).
% 51.29/33.95 tff(28890,plain,(m_processor_v_abort(c_p0, s8) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~m_memory_v_cmd(c_m, s8, c_idle)) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_waiting(c_p1, s9) | m_processor_v_state(c_p1, s9, c_shared) | (~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_snoop(c_p0, s8, c_shared) | node52(c_p1, s8, s9) | m_processor_v_waiting(c_p0, s9) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_state(c_p0, s9, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.95 tff(28891,plain,
% 51.29/33.95 (~m_memory_v_cmd(c_m, s8, c_idle)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[28890, 28722, 28715, 26797, 26789, 26799, 28686, 26790, 28693, 26798, 26812, 26811])).
% 51.29/33.95 tff(28892,plain,
% 51.29/33.95 (node29(c_m, s8)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[15489, 28891])).
% 51.29/33.95 tff(28893,plain,
% 51.29/33.95 (m_memory_v_busy(c_m, s8)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[15481, 2072, 28892])).
% 51.29/33.95 tff(28894,plain,
% 51.29/33.95 (~node18(c_m, s7, s8)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[24889, 28893, 26810])).
% 51.29/33.95 tff(28895,plain,
% 51.29/33.95 (~node22(c_m, s7, s8)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[24657, 28893, 26810])).
% 51.29/33.95 tff(28896,plain,
% 51.29/33.95 (~m_memory_v_CMD(c_m, s7, c_read_h_shared)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[24612, 28643])).
% 51.29/33.95 tff(28897,plain,
% 51.29/33.95 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s7, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s7, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_invalid)))),
% 51.29/33.95 inference(rewrite,[status(thm)],[])).
% 51.29/33.95 tff(28898,plain,
% 51.29/33.95 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s7, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_invalid)))),
% 51.29/33.95 inference(quant_inst,[status(thm)],[])).
% 51.29/33.95 tff(28899,plain,
% 51.29/33.95 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s7, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_invalid))),
% 51.29/33.95 inference(modus_ponens,[status(thm)],[28898, 28897])).
% 51.29/33.95 tff(28900,plain,
% 51.29/33.95 (~m_processor_v_cmd(c_p0, s7, c_read_h_owned)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[28899, 3716, 28636])).
% 51.29/33.95 tff(28901,plain,
% 51.29/33.95 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_read_h_owned) | (~m_main_v_CMD(s7, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_read_h_owned) | (~m_main_v_CMD(s7, c_read_h_owned)))),
% 51.29/33.95 inference(rewrite,[status(thm)],[])).
% 51.29/33.95 tff(28902,plain,
% 51.29/33.95 (((~m_main_v_CMD(s7, c_read_h_owned)) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_read_h_owned)) <=> ((~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_read_h_owned) | (~m_main_v_CMD(s7, c_read_h_owned)))),
% 51.29/33.95 inference(rewrite,[status(thm)],[])).
% 51.29/33.95 tff(28903,plain,
% 51.29/33.95 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_read_h_owned)) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_read_h_owned) | (~m_main_v_CMD(s7, c_read_h_owned))))),
% 51.29/33.95 inference(monotonicity,[status(thm)],[28902])).
% 51.29/33.95 tff(28904,plain,
% 51.29/33.95 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_read_h_owned)) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_read_h_owned) | (~m_main_v_CMD(s7, c_read_h_owned)))),
% 51.29/33.95 inference(transitivity,[status(thm)],[28903, 28901])).
% 51.29/33.95 tff(28905,plain,
% 51.29/33.95 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s7, c_read_h_owned)) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_read_h_owned))),
% 51.29/33.95 inference(quant_inst,[status(thm)],[])).
% 51.29/33.95 tff(28906,plain,
% 51.29/33.95 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s7)) | m_processor_v_cmd(c_p0, s7, c_read_h_owned) | (~m_main_v_CMD(s7, c_read_h_owned))),
% 51.29/33.95 inference(modus_ponens,[status(thm)],[28905, 28904])).
% 51.29/33.95 tff(28907,plain,
% 51.29/33.95 (~m_main_v_CMD(s7, c_read_h_owned)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[28906, 2191, 26815, 28900])).
% 51.29/33.95 tff(28908,plain,
% 51.29/33.95 (~m_memory_v_CMD(c_m, s7, c_read_h_owned)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[24532, 28907])).
% 51.29/33.95 tff(28909,plain,
% 51.29/33.95 (~node21(c_m, s7)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[24649, 28908, 28896])).
% 51.29/33.95 tff(28910,plain,
% 51.29/33.95 (m_memory_v_abort(c_m, s7)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[24901, 28893, 28909, 28895])).
% 51.29/33.95 tff(28911,plain,
% 51.29/33.95 ($false),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[15415, 28910, 28894])).
% 51.29/33.95 tff(28912,plain,(m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p0, s4, c_owned) | m_processor_v_state(c_p1, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.95 tff(28913,plain,
% 51.29/33.95 (m_processor_v_state(c_p1, s6, c_shared)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[28912, 54, 53])).
% 51.29/33.95 tff(28914,plain,
% 51.29/33.95 (m_processor_v_master(c_p1, s6)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[19060, 26783, 28913])).
% 51.29/33.95 tff(28915,plain,
% 51.29/33.95 (~m_processor_v_master(c_p0, s6)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[16318, 28914])).
% 51.29/33.95 tff(28916,plain,
% 51.29/33.95 (~m_processor_v_state(c_p1, s7, c_shared)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[13520, 26783])).
% 51.29/33.95 tff(28917,plain,
% 51.29/33.95 (~node32(c_p1, s6, s7)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[13531, 28916, 28913])).
% 51.29/33.95 tff(28918,plain,
% 51.29/33.95 (~m_processor_v_abort(c_p1, s6)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[13472, 28917])).
% 51.29/33.95 tff(28919,plain,
% 51.29/33.95 (node60(c_p1, s6)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[18324, 28918])).
% 51.29/33.95 tff(28920,plain,
% 51.29/33.95 (~m_processor_v_state(c_p1, s6, c_invalid)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[16740, 977, 28913])).
% 51.29/33.95 tff(28921,plain,
% 51.29/33.95 (~node62(c_p1, s6)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[18858, 28920])).
% 51.29/33.95 tff(28922,plain,
% 51.29/33.95 ((~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | m_processor_v_cmd(c_p1, s6, c_read_h_owned)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[19070, 1650, 28913])).
% 51.29/33.95 tff(28923,plain,
% 51.29/33.95 (m_processor_v_cmd(c_p1, s6, c_read_h_owned)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[28922, 28914, 28921])).
% 51.29/33.95 tff(28924,plain,
% 51.29/33.95 (m_processor_v_cmd(c_p0, s6, c_idle)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[18577, 28915])).
% 51.29/33.95 tff(28925,plain,
% 51.29/33.95 (~m_processor_v_cmd(c_p1, s6, c_idle)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[19092, 28923])).
% 51.29/33.95 tff(28926,plain,
% 51.29/33.95 (~node9(s6)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[18794, 28925])).
% 51.29/33.95 tff(28927,plain,
% 51.29/33.95 (~node16(s6)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[18755, 28914])).
% 51.29/33.95 tff(28928,plain,
% 51.29/33.95 (~m_processor_v_master(c_p2, s6)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[14224, 28927])).
% 51.29/33.95 tff(28929,plain,
% 51.29/33.95 (~node62(c_p2, s6)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[14232, 28928])).
% 51.29/33.95 tff(28930,plain,
% 51.29/33.95 (m_processor_v_cmd(c_p2, s6, c_idle)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[14269, 28928, 28929])).
% 51.29/33.95 tff(28931,plain,
% 51.29/33.95 (~node17(s6)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[18766, 28914])).
% 51.29/33.95 tff(28932,plain,
% 51.29/33.95 (~m_memory_v_master(c_m, s6)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[14301, 28931])).
% 51.29/33.95 tff(28933,plain,
% 51.29/33.95 (~node29(c_m, s6)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[14293, 28932])).
% 51.29/33.95 tff(28934,plain,
% 51.29/33.95 (m_memory_v_cmd(c_m, s6, c_idle)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[14285, 28933])).
% 51.29/33.95 tff(28935,plain,
% 51.29/33.95 (node10(s6)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[18805, 28934, 28930, 28926, 28924])).
% 51.29/33.95 tff(28936,plain,
% 51.29/33.95 (m_main_v_CMD(s6, c_read_h_owned)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[19097, 28935, 28923])).
% 51.29/33.95 tff(28937,plain,
% 51.29/33.95 (m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[16254, 28936])).
% 51.29/33.95 tff(28938,plain,
% 51.29/33.95 (~node59(c_p1, s6)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[18342, 28937])).
% 51.29/33.95 tff(28939,plain,
% 51.29/33.95 (~m_processor_v_REPLY_h_WAITING(c_p1, s6)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[18335, 28938, 28919])).
% 51.29/33.95 tff(28940,plain,
% 51.29/33.95 (~m_main_v_REPLY_h_WAITING(s6)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[18192, 28939])).
% 51.29/33.95 tff(28941,plain,
% 51.29/33.95 (node6(s6)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[14184, 28940])).
% 51.29/33.95 tff(28942,plain,
% 51.29/33.95 (~m_processor_v_reply_h_waiting(c_p0, s6)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[26630, 28941])).
% 51.29/33.95 tff(28943,plain,
% 51.29/33.95 (~m_processor_v_waiting(c_p0, s6)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[26640, 28942, 28915])).
% 51.29/33.95 tff(28944,plain,
% 51.29/33.95 (m_processor_v_state(c_p1, s5, c_invalid)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[26754, 1073, 53, 54, 1060, 1069])).
% 51.29/33.95 tff(28945,plain,
% 51.29/33.95 (~node32(c_p1, s5, s6)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[556, 28944, 28920])).
% 51.29/33.95 tff(28946,plain,
% 51.29/33.95 (~m_processor_v_abort(c_p1, s5)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[250, 28945])).
% 51.29/33.95 tff(28947,plain,
% 51.29/33.95 (node60(c_p1, s5)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[698, 28946])).
% 51.29/33.95 tff(28948,plain,
% 51.29/33.95 (~m_processor_v_state(c_p1, s5, c_shared)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[16733, 28944])).
% 51.29/33.95 tff(28949,plain,
% 51.29/33.95 (node34(c_p1, s5, s6)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[614, 28948, 53, 28920])).
% 51.29/33.95 tff(28950,plain,
% 51.29/33.95 (~m_processor_v_state(c_p1, s6, c_owned)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[129, 28913])).
% 51.29/33.95 tff(28951,plain,
% 51.29/33.95 (m_processor_v_master(c_p1, s5)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[16744, 28944, 28913])).
% 51.29/33.95 tff(28952,plain,
% 51.29/33.95 (m_processor_v_CMD(c_p1, s5, c_read_h_shared)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[16982, 28951, 28950, 28944, 28949])).
% 51.29/33.95 tff(28953,plain,
% 51.29/33.95 (~node59(c_p1, s5)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[16989, 28952])).
% 51.29/33.95 tff(28954,plain,
% 51.29/33.95 (~m_processor_v_abort(c_p0, s5)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[13820, 28953, 28947])).
% 51.29/33.95 tff(28955,plain,
% 51.29/33.95 (m_main_v_CMD(s5, c_read_h_shared)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[13920, 28952])).
% 51.29/33.95 tff(28956,plain,
% 51.29/33.95 (m_processor_v_CMD(c_p0, s5, c_read_h_shared)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[13930, 28955])).
% 51.29/33.95 tff(28957,plain,
% 51.29/33.95 (~m_processor_v_master(c_p0, s5)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[26663, 28956, 28943, 28954])).
% 51.29/33.95 tff(28958,plain,
% 51.29/33.95 (m_processor_v_waiting(c_p0, s5)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[2285, 1060, 54])).
% 51.29/33.95 tff(28959,plain,
% 51.29/33.95 (m_processor_v_master(c_p0, s5) | m_processor_v_reply_h_waiting(c_p0, s5)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[2302, 2296, 28958])).
% 51.29/33.95 tff(28960,plain,
% 51.29/33.95 (m_processor_v_reply_h_waiting(c_p0, s5)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[28959, 28957])).
% 51.29/33.95 tff(28961,plain,
% 51.29/33.95 (~m_processor_v_REPLY_h_WAITING(c_p1, s5)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[732, 28947, 28953])).
% 51.29/33.95 tff(28962,plain,
% 51.29/33.95 (~m_main_v_REPLY_h_WAITING(s5)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[750, 28961])).
% 51.29/33.95 tff(28963,plain,
% 51.29/33.95 (node6(s5)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[765, 28962])).
% 51.29/33.95 tff(28964,plain,
% 51.29/33.95 ($false),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[783, 28963, 28960])).
% 51.29/33.95 tff(28965,plain,((~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p0, s4, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.95 tff(28966,plain,
% 51.29/33.95 (~m_processor_v_state(c_p0, s5, c_owned)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[28965, 54, 53])).
% 51.29/33.95 tff(28967,plain,
% 51.29/33.95 (~m_processor_v_state(c_p0, s6, c_owned)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[26669, 28966, 28943])).
% 51.29/33.95 tff(28968,plain,
% 51.29/33.95 (node67(s9)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[18040, 28967, 53])).
% 51.29/33.95 tff(28969,plain,
% 51.29/33.95 (m_processor_v_writable(c_p1, s9)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[6259, 28968])).
% 51.29/33.95 tff(28970,plain,
% 51.29/33.95 (node56(c_p1, s9)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[6267, 28969])).
% 51.29/33.95 tff(28971,plain,
% 51.29/33.95 (m_processor_v_state(c_p1, s9, c_owned)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[6275, 28970])).
% 51.29/33.95 tff(28972,plain,
% 51.29/33.95 (~m_processor_v_state(c_p1, s9, c_shared)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[6286, 121, 28971])).
% 51.29/33.95 tff(28973,plain,
% 51.29/33.95 (m_processor_v_writable(c_p0, s9)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[14729, 28968])).
% 51.29/33.95 tff(28974,plain,
% 51.29/33.95 (node56(c_p0, s9)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[14737, 28973])).
% 51.29/33.95 tff(28975,plain,
% 51.29/33.95 (m_processor_v_state(c_p0, s9, c_owned)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[14745, 28974])).
% 51.29/33.95 tff(28976,plain,
% 51.29/33.95 (~m_processor_v_state(c_p1, s9, c_invalid)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[6279, 137, 28971])).
% 51.29/33.95 tff(28977,plain,
% 51.29/33.95 (~m_processor_v_state(c_p0, s7, c_owned)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[2437, 28967, 28915])).
% 51.29/33.95 tff(28978,plain,
% 51.29/33.95 (m_processor_v_state(c_p1, s8, c_owned)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[26081, 26783, 26778])).
% 51.29/33.95 tff(28979,plain,
% 51.29/33.95 (m_processor_v_CMD(c_p0, s6, c_read_h_owned)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[14394, 28936])).
% 51.29/33.95 tff(28980,plain,
% 51.29/33.95 (~node35(c_p0, s6)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[26455, 28979])).
% 51.29/33.95 tff(28981,plain,
% 51.29/33.95 (~m_processor_v_abort(c_p0, s6)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[25955, 28938, 28919])).
% 51.29/33.95 tff(28982,plain,
% 51.29/33.95 (~m_processor_v_waiting(c_p1, s9)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[6546, 540, 28970])).
% 51.29/33.95 tff(28983,plain,
% 51.29/33.95 (~m_processor_v_waiting(c_p0, s9)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[14756, 540, 28974])).
% 51.29/33.95 tff(28984,assumption,(~node35(c_p0, s6)), introduced(assumption)).
% 51.29/33.95 tff(28985,plain,
% 51.29/33.95 (~m_processor_v_state(c_p0, s6, c_owned)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[25924, 3, 2318])).
% 51.29/33.95 tff(28986,plain,
% 51.29/33.95 (~m_processor_v_state(c_p0, s7, c_invalid)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[16223, 3, 6289, 13022, 14758, 6288, 14759, 6290, 13435])).
% 51.29/33.95 tff(28987,plain,
% 51.29/33.95 (~m_processor_v_state(c_p0, s6, c_invalid)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[2434, 2358, 2318])).
% 51.29/33.95 tff(28988,plain,
% 51.29/33.95 (~m_processor_v_state(c_p0, s6, c_shared)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[2365, 2358, 14200, 28984, 2318])).
% 51.29/33.95 tff(28989,plain,
% 51.29/33.95 ($false),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[819, 28988, 28987, 5])).
% 51.29/33.95 tff(28990,plain,(m_processor_v_state(c_p0, s7, c_invalid) | m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_abort(c_p0, s6) | node35(c_p0, s6) | m_processor_v_master(c_p0, s6)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.95 tff(28991,plain,
% 51.29/33.95 ($false),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[28990, 28986, 28985, 28984, 2318, 14200])).
% 51.29/33.95 tff(28992,plain,(m_processor_v_state(c_p0, s7, c_owned) | node35(c_p0, s6) | m_processor_v_master(c_p0, s6) | m_processor_v_abort(c_p0, s6) | m_processor_v_state(c_p1, s9, c_shared) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_waiting(c_p0, s9) | m_processor_v_state(c_p1, s9, c_invalid) | (~m_processor_v_state(c_p0, s9, c_owned)) | m_processor_v_waiting(c_p1, s9) | (~m_processor_v_state(c_p1, s7, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.95 tff(28993,plain,
% 51.29/33.95 ($false),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[28992, 28983, 28982, 28915, 28981, 28980, 28978, 28977, 28976, 28975, 28972, 26783])).
% 51.29/33.95 tff(28994,plain,(m_processor_v_state(c_p0, s4, c_owned) | m_processor_v_state(c_p1, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.95 tff(28995,plain,
% 51.29/33.95 (m_processor_v_state(c_p0, s4, c_owned)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[28994, 53])).
% 51.29/33.95 tff(28996,plain,
% 51.29/33.95 (node34(c_p0, s3, s4)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[9737, 2642, 6880, 6889])).
% 51.29/33.95 tff(28997,plain,
% 51.29/33.95 (m_processor_v_CMD(c_p0, s3, c_read_h_owned)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[9792, 21922, 6880, 6889, 28996])).
% 51.29/33.95 tff(28998,plain,
% 51.29/33.95 (~node59(c_p0, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[21427, 707, 28997])).
% 51.29/33.95 tff(28999,plain,
% 51.29/33.95 (~node60(c_p0, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[21649, 28998, 21621])).
% 51.29/33.95 tff(29000,plain,
% 51.29/33.95 (m_processor_v_abort(c_p0, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[10486, 28999])).
% 51.29/33.95 tff(29001,plain,
% 51.29/33.95 (node32(c_p0, s3, s4)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[9403, 29000])).
% 51.29/33.95 tff(29002,plain,
% 51.29/33.95 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[9389, 29001, 6880])).
% 51.29/33.95 tff(29003,plain,
% 51.29/33.95 (~m_processor_v_state(c_p0, s3, c_shared)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[9799, 29001, 6889])).
% 51.29/33.95 tff(29004,plain,
% 51.29/33.95 ($false),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[9415, 29003, 29002, 2642])).
% 51.29/33.95 tff(29005,plain,(m_processor_v_state(c_p0, s3, c_owned) | (~m_processor_v_abort(c_p2, s3)) | (~m_processor_v_state(c_p0, s4, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.95 tff(29006,plain,
% 51.29/33.95 (~m_processor_v_abort(c_p2, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[29005, 2642, 1752])).
% 51.29/33.95 tff(29007,assumption,(~node60(c_p2, s3)), introduced(assumption)).
% 51.29/33.95 tff(29008,plain,
% 51.29/33.95 (((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p2, s3) | node60(c_p2, s3))) <=> ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p2, s3) | node60(c_p2, s3))),
% 51.29/33.95 inference(rewrite,[status(thm)],[])).
% 51.29/33.95 tff(29009,plain,
% 51.29/33.95 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p2, s3) | node60(c_p2, s3))),
% 51.29/33.95 inference(quant_inst,[status(thm)],[])).
% 51.29/33.95 tff(29010,plain,
% 51.29/33.95 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p2, s3) | node60(c_p2, s3)),
% 51.29/33.95 inference(modus_ponens,[status(thm)],[29009, 29008])).
% 51.29/33.95 tff(29011,plain,
% 51.29/33.95 ($false),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[29010, 693, 28014, 29007])).
% 51.29/33.95 tff(29012,plain,(m_processor_v_abort(c_p2, s3) | node60(c_p2, s3)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.95 tff(29013,plain,
% 51.29/33.95 (node60(c_p2, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[29012, 29006])).
% 51.29/33.95 tff(29014,assumption,(node60(c_p2, s3)), introduced(assumption)).
% 51.29/33.95 tff(29015,plain,
% 51.29/33.95 (((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p2, s3)) | (~node60(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p2, s3)) | (~node60(c_p2, s3)))),
% 51.29/33.95 inference(rewrite,[status(thm)],[])).
% 51.29/33.95 tff(29016,plain,
% 51.29/33.95 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | ((~m_processor_v_REPLY_h_STALL(c_p2, s3)) | (~node60(c_p2, s3)))),
% 51.29/33.95 inference(quant_inst,[status(thm)],[])).
% 51.29/33.95 tff(29017,plain,
% 51.29/33.95 ((~![I0: $i, X: $i] : ((~m_processor_v_REPLY_h_STALL(I0, X)) | (~node60(I0, X)))) | (~m_processor_v_REPLY_h_STALL(c_p2, s3)) | (~node60(c_p2, s3))),
% 51.29/33.95 inference(modus_ponens,[status(thm)],[29016, 29015])).
% 51.29/33.95 tff(29018,plain,
% 51.29/33.95 ($false),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[29017, 1363, 21604, 29014])).
% 51.29/33.95 tff(29019,plain,((~node60(c_p2, s3)) | (~m_processor_v_REPLY_h_STALL(c_p2, s3))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.95 tff(29020,plain,
% 51.29/33.95 (~m_processor_v_REPLY_h_STALL(c_p2, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[29019, 29013])).
% 51.29/33.95 tff(29021,assumption,(~m_processor_v_REPLY_h_STALL(c_p2, s3)), introduced(assumption)).
% 51.29/33.95 tff(29022,plain,
% 51.29/33.95 (^[X: $i] : refl(((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X)) <=> ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X)))),
% 51.29/33.95 inference(bind,[status(th)],[])).
% 51.29/33.95 tff(29023,plain,
% 51.29/33.95 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X))),
% 51.29/33.95 inference(quant_intro,[status(thm)],[29022])).
% 51.29/33.95 tff(29024,plain,
% 51.29/33.95 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X))),
% 51.29/33.95 inference(rewrite,[status(thm)],[])).
% 51.29/33.95 tff(29025,plain,
% 51.29/33.95 (^[X: $i] : rewrite((m_processor_v_REPLY_h_STALL(c_p2, X) | (~m_main_v_REPLY_h_STALL(X))) <=> ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X)))),
% 51.29/33.95 inference(bind,[status(th)],[])).
% 51.29/33.95 tff(29026,plain,
% 51.29/33.95 (![X: $i] : (m_processor_v_REPLY_h_STALL(c_p2, X) | (~m_main_v_REPLY_h_STALL(X))) <=> ![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X))),
% 51.29/33.95 inference(quant_intro,[status(thm)],[29025])).
% 51.29/33.95 tff(29027,axiom,(![X: $i] : (m_processor_v_REPLY_h_STALL(c_p2, X) | (~m_main_v_REPLY_h_STALL(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_72')).
% 51.29/33.95 tff(29028,plain,
% 51.29/33.95 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X))),
% 51.29/33.95 inference(modus_ponens,[status(thm)],[29027, 29026])).
% 51.29/33.95 tff(29029,plain,
% 51.29/33.95 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X))),
% 51.29/33.95 inference(modus_ponens,[status(thm)],[29028, 29024])).
% 51.29/33.95 tff(29030,plain,(
% 51.29/33.95 ![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X))),
% 51.29/33.95 inference(skolemize,[status(sab)],[29029])).
% 51.29/33.95 tff(29031,plain,
% 51.29/33.95 (![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X))),
% 51.29/33.95 inference(modus_ponens,[status(thm)],[29030, 29023])).
% 51.29/33.95 tff(29032,plain,
% 51.29/33.95 (((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X))) | ((~m_main_v_REPLY_h_STALL(s3)) | m_processor_v_REPLY_h_STALL(c_p2, s3))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X))) | (~m_main_v_REPLY_h_STALL(s3)) | m_processor_v_REPLY_h_STALL(c_p2, s3))),
% 51.29/33.95 inference(rewrite,[status(thm)],[])).
% 51.29/33.95 tff(29033,plain,
% 51.29/33.95 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X))) | ((~m_main_v_REPLY_h_STALL(s3)) | m_processor_v_REPLY_h_STALL(c_p2, s3))),
% 51.29/33.95 inference(quant_inst,[status(thm)],[])).
% 51.29/33.95 tff(29034,plain,
% 51.29/33.95 ((~![X: $i] : ((~m_main_v_REPLY_h_STALL(X)) | m_processor_v_REPLY_h_STALL(c_p2, X))) | (~m_main_v_REPLY_h_STALL(s3)) | m_processor_v_REPLY_h_STALL(c_p2, s3)),
% 51.29/33.95 inference(modus_ponens,[status(thm)],[29033, 29032])).
% 51.29/33.95 tff(29035,plain,
% 51.29/33.95 ($false),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[29034, 29031, 10497, 29021])).
% 51.29/33.95 tff(29036,plain,(m_processor_v_REPLY_h_STALL(c_p2, s3) | (~m_main_v_REPLY_h_STALL(s3))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.95 tff(29037,plain,
% 51.29/33.95 (~m_main_v_REPLY_h_STALL(s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[29036, 29020])).
% 51.29/33.95 tff(29038,plain,
% 51.29/33.95 (node7(s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[10510, 29037])).
% 51.29/33.95 tff(29039,plain,
% 51.29/33.95 (~m_memory_v_reply_h_stall(c_m, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[10518, 29038])).
% 51.29/33.95 tff(29040,plain,
% 51.29/33.95 (node30(c_m, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[10526, 29039, 9858])).
% 51.29/33.95 tff(29041,plain,
% 51.29/33.95 (m_main_v_CMD(s3, c_read_h_owned)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[10546, 28997])).
% 51.29/33.95 tff(29042,plain,
% 51.29/33.95 (m_memory_v_CMD(c_m, s3, c_read_h_owned)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[10550, 4207, 29041, 10083])).
% 51.29/33.95 tff(29043,plain,
% 51.29/33.95 ($false),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[10554, 5042, 29042, 29040])).
% 51.29/33.95 tff(29044,plain,(m_processor_v_state(c_p0, s3, c_owned) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_memory_v_busy(c_m, s3))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.95 tff(29045,plain,
% 51.29/33.95 (m_processor_v_state(c_p0, s3, c_owned)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[29044, 9858, 1752])).
% 51.29/33.95 tff(29046,plain,
% 51.29/33.95 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[2665, 137, 29045])).
% 51.29/33.95 tff(29047,plain,
% 51.29/33.95 (m_processor_v_state(c_p0, s2, c_owned)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[2775, 9968, 2652])).
% 51.29/33.95 tff(29048,plain,
% 51.29/33.95 (m_processor_v_reply_h_owned(c_p0, s2)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[10173, 10170, 9968, 29047])).
% 51.29/33.95 tff(29049,plain,
% 51.29/33.95 (~node5(s2)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[10188, 10185, 29048])).
% 51.29/33.95 tff(29050,plain,
% 51.29/33.95 (~m_memory_v_REPLY_h_OWNED(c_m, s2)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[10452, 9934, 9858])).
% 51.29/33.95 tff(29051,plain,
% 51.29/33.95 (~m_main_v_REPLY_h_OWNED(s2)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[10560, 29050])).
% 51.29/33.95 tff(29052,plain,
% 51.29/33.95 ($false),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[10199, 10196, 29051, 29049])).
% 51.29/33.95 tff(29053,plain,((~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_memory_v_busy(c_m, s3)) | (~m_processor_v_state(c_p1, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.95 tff(29054,plain,
% 51.29/33.95 (~m_processor_v_state(c_p1, s2, c_invalid)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[29053, 29045, 9858, 2595])).
% 51.29/33.95 tff(29055,plain,
% 51.29/33.95 (m_processor_v_state(c_p0, s2, c_invalid)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[5074, 29054])).
% 51.29/33.95 tff(29056,plain,
% 51.29/33.95 (~node32(c_p0, s2, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[5496, 29055, 29046])).
% 51.29/33.95 tff(29057,plain,
% 51.29/33.95 (~m_processor_v_abort(c_p0, s2)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[2704, 29056])).
% 51.29/33.95 tff(29058,plain,
% 51.29/33.95 (~m_processor_v_state(c_p0, s2, c_shared)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[8392, 29055])).
% 51.29/33.95 tff(29059,plain,
% 51.29/33.95 (~node36(c_p0, s2)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[2671, 167, 29058])).
% 51.29/33.95 tff(29060,plain,
% 51.29/33.95 (~node37(c_p0, s2, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[9640, 2411, 29055, 29046])).
% 51.29/33.95 tff(29061,plain,
% 51.29/33.95 (m_processor_v_master(c_p0, s2)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[2696, 29060, 29059, 29058, 29057])).
% 51.29/33.95 tff(29062,plain,
% 51.29/33.95 (~m_processor_v_master(c_p1, s2)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[5370, 794, 29061])).
% 51.29/33.95 tff(29063,plain,
% 51.29/33.95 (m_processor_v_reply_h_owned(c_p1, s2)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[10322, 29062, 2595])).
% 51.29/33.95 tff(29064,plain,
% 51.29/33.95 (~node5(s2)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[10336, 10333, 29063])).
% 51.29/33.95 tff(29065,plain,
% 51.29/33.95 (~node30(c_m, s2)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[10355, 29061, 29055])).
% 51.29/33.95 tff(29066,plain,
% 51.29/33.95 (~m_memory_v_REPLY_h_OWNED(c_m, s2)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[10556, 29065, 6880, 9858, 6889, 29055])).
% 51.29/33.95 tff(29067,plain,
% 51.29/33.95 (~m_main_v_REPLY_h_OWNED(s2)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[10560, 29066])).
% 51.29/33.95 tff(29068,plain,
% 51.29/33.95 ($false),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[10199, 10196, 29067, 29064])).
% 51.29/33.95 tff(29069,plain,((~m_memory_v_busy(c_m, s3)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_state(c_p0, s4, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.95 tff(29070,plain,
% 51.29/33.95 (~m_memory_v_busy(c_m, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[29069, 2595, 1752])).
% 51.29/33.95 tff(29071,plain,
% 51.29/33.95 (~m_memory_v_REPLY_h_OWNED(c_m, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[22753, 22683, 1096, 9847, 7332])).
% 51.29/33.95 tff(29072,plain,
% 51.29/33.95 (~m_main_v_REPLY_h_OWNED(s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[19705, 29071])).
% 51.29/33.95 tff(29073,plain,
% 51.29/33.95 ($false),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[19697, 29072, 22729])).
% 51.29/33.95 tff(29074,plain,(m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p0, s4, c_shared) | m_memory_v_busy(c_m, s3) | (~m_memory_v_busy(c_m, s4)) | (~m_processor_v_state(c_p1, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.95 tff(29075,plain,
% 51.29/33.95 (m_processor_v_master(c_p1, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[29074, 7332, 29070, 6889, 2595])).
% 51.29/33.95 tff(29076,plain,
% 51.29/33.95 (~m_processor_v_master(c_p0, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[9444, 794, 29075])).
% 51.29/33.95 tff(29077,plain,
% 51.29/33.95 (m_processor_v_state(c_p0, s3, c_owned)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[9728, 29076, 1752])).
% 51.29/33.95 tff(29078,plain,
% 51.29/33.95 (m_processor_v_reply_h_owned(c_p0, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[19684, 10170, 29077, 29076])).
% 51.29/33.95 tff(29079,plain,
% 51.29/33.95 (~node5(s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[19689, 10185, 29078])).
% 51.29/33.95 tff(29080,plain,
% 51.29/33.95 (m_main_v_REPLY_h_OWNED(s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[19697, 29079])).
% 51.29/33.95 tff(29081,plain,
% 51.29/33.95 (~node18(c_m, s3, s4)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[20093, 7332, 29070])).
% 51.29/33.95 tff(29082,plain,
% 51.29/33.95 (~m_memory_v_abort(c_m, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[9878, 29081])).
% 51.29/33.95 tff(29083,plain,
% 51.29/33.95 (node26(c_m, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[19756, 29082])).
% 51.29/33.95 tff(29084,plain,
% 51.29/33.95 (~m_memory_v_REPLY_h_STALL(c_m, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[21967, 29083])).
% 51.29/33.95 tff(29085,plain,
% 51.29/33.95 (~m_main_v_REPLY_h_STALL(s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[22053, 29084])).
% 51.29/33.95 tff(29086,plain,
% 51.29/33.95 (~m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[11826, 29085])).
% 51.29/33.95 tff(29087,plain,
% 51.29/33.95 (m_memory_v_abort(c_m, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[21979, 7332, 9847, 11990])).
% 51.29/33.95 tff(29088,plain,
% 51.29/33.95 ($false),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[9878, 29087, 21960])).
% 51.29/33.95 tff(29089,plain,((~m_memory_v_busy(c_m, s4)) | m_memory_v_busy(c_m, s3) | node21(c_m, s3)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.95 tff(29090,plain,
% 51.29/33.95 (node21(c_m, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[29089, 7332, 29070])).
% 51.29/33.95 tff(29091,plain,
% 51.29/33.95 (~node24(c_m, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[22008, 29090])).
% 51.29/33.95 tff(29092,plain,
% 51.29/33.95 (~m_main_v_REPLY_h_WAITING(s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[22042, 29083, 29091])).
% 51.29/33.95 tff(29093,plain,
% 51.29/33.95 (~m_processor_v_REPLY_h_WAITING(c_p0, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[11859, 29092])).
% 51.29/33.95 tff(29094,plain,
% 51.29/33.95 (~node61(c_p0, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[11867, 29093])).
% 51.29/33.95 tff(29095,plain,
% 51.29/33.95 (~m_processor_v_abort(c_p0, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[11875, 29094, 29086])).
% 51.29/33.95 tff(29096,plain,
% 51.29/33.95 (m_processor_v_snoop(c_p0, s3, c_invalid)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[26924, 2595])).
% 51.29/33.95 tff(29097,plain,
% 51.29/33.95 (~node44(c_p0, s3, s4)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[21131, 21126, 19868])).
% 51.29/33.95 tff(29098,plain,
% 51.29/33.95 (~m_processor_v_master(c_p0, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[22195, 21126, 19868])).
% 51.29/33.95 tff(29099,plain,
% 51.29/33.95 (~node39(c_p0, s3, s4)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[22148, 21126, 19868])).
% 51.29/33.95 tff(29100,plain,
% 51.29/33.95 (~m_processor_v_abort(c_p0, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[22156, 29099])).
% 51.29/33.95 tff(29101,plain,
% 51.29/33.95 (node40(c_p0, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[19821, 29100, 2652, 29098, 29097])).
% 51.29/33.95 tff(29102,plain,
% 51.29/33.95 (m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[19773, 8367, 29101])).
% 51.29/33.95 tff(29103,plain,
% 51.29/33.95 (m_main_v_CMD(s3, c_read_h_shared)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[11528, 29102])).
% 51.29/33.95 tff(29104,plain,
% 51.29/33.95 (m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[10585, 29103])).
% 51.29/33.95 tff(29105,plain,
% 51.29/33.95 ($false),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[6728, 416, 10587, 6657, 6722])).
% 51.29/33.95 tff(29106,plain,((~node34(c_p1, s3, s4)) | (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)) | m_processor_v_state(c_p1, s4, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.95 tff(29107,plain,
% 51.29/33.95 (~node34(c_p1, s3, s4)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[29106, 29104, 6657])).
% 51.29/33.95 tff(29108,plain,
% 51.29/33.95 (node60(c_p0, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[10486, 29100])).
% 51.29/33.95 tff(29109,plain,
% 51.29/33.95 (~node59(c_p0, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[27040, 3834, 29102])).
% 51.29/33.95 tff(29110,plain,
% 51.29/33.95 (~m_processor_v_REPLY_h_STALL(c_p1, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[12483, 21603])).
% 51.29/33.95 tff(29111,plain,
% 51.29/33.95 (node61(c_p1, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[12476, 29110, 12471])).
% 51.29/33.95 tff(29112,plain,
% 51.29/33.95 (((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p1, s3) | (~node61(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p1, s3) | (~node61(c_p1, s3)))),
% 51.29/33.95 inference(rewrite,[status(thm)],[])).
% 51.29/33.95 tff(29113,plain,
% 51.29/33.95 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p1, s3) | (~node61(c_p1, s3)))),
% 51.29/33.95 inference(quant_inst,[status(thm)],[])).
% 51.29/33.95 tff(29114,plain,
% 51.29/33.95 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p1, s3) | (~node61(c_p1, s3))),
% 51.29/33.95 inference(modus_ponens,[status(thm)],[29113, 29112])).
% 51.29/33.95 tff(29115,plain,
% 51.29/33.95 ($false),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[29114, 1891, 11845, 12460])).
% 51.29/33.95 tff(29116,plain,((~node61(c_p1, s3)) | m_processor_v_REPLY_h_WAITING(c_p1, s3)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.95 tff(29117,plain,
% 51.29/33.95 (m_processor_v_REPLY_h_WAITING(c_p1, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[29116, 29111])).
% 51.29/33.95 tff(29118,plain,
% 51.29/33.95 ($false),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[21437, 724, 11853, 10488, 21631])).
% 51.29/33.95 tff(29119,plain,(node59(c_p0, s3) | (~m_processor_v_REPLY_h_WAITING(c_p0, s3)) | (~node60(c_p0, s3))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.95 tff(29120,plain,
% 51.29/33.95 (~m_processor_v_REPLY_h_WAITING(c_p0, s3)),
% 51.29/33.95 inference(unit_resolution,[status(thm)],[29119, 10488, 21631])).
% 51.29/33.96 tff(29121,plain,
% 51.29/33.96 (~m_main_v_REPLY_h_WAITING(s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[21443, 29120])).
% 51.29/33.96 tff(29122,plain,
% 51.29/33.96 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | (m_main_v_REPLY_h_WAITING(s3) | (~m_processor_v_REPLY_h_WAITING(c_p1, s3)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | m_main_v_REPLY_h_WAITING(s3) | (~m_processor_v_REPLY_h_WAITING(c_p1, s3)))),
% 51.29/33.96 inference(rewrite,[status(thm)],[])).
% 51.29/33.96 tff(29123,plain,
% 51.29/33.96 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | (m_main_v_REPLY_h_WAITING(s3) | (~m_processor_v_REPLY_h_WAITING(c_p1, s3)))),
% 51.29/33.96 inference(quant_inst,[status(thm)],[])).
% 51.29/33.96 tff(29124,plain,
% 51.29/33.96 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p1, X)))) | m_main_v_REPLY_h_WAITING(s3) | (~m_processor_v_REPLY_h_WAITING(c_p1, s3))),
% 51.29/33.96 inference(modus_ponens,[status(thm)],[29123, 29122])).
% 51.29/33.96 tff(29125,plain,
% 51.29/33.96 ($false),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29124, 7866, 29121, 29117])).
% 51.29/33.96 tff(29126,plain,((~node60(c_p0, s3)) | (~m_processor_v_abort(c_p1, s3)) | node59(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.96 tff(29127,plain,
% 51.29/33.96 (~m_processor_v_abort(c_p1, s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29126, 29109, 29108])).
% 51.29/33.96 tff(29128,plain,
% 51.29/33.96 (~m_processor_v_master(c_p1, s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[6720, 29127, 29107])).
% 51.29/33.96 tff(29129,plain,
% 51.29/33.96 (m_processor_v_cmd(c_p1, s3, c_idle)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[9478, 29128])).
% 51.29/33.96 tff(29130,plain,
% 51.29/33.96 (~m_memory_v_cmd(c_m, s3, c_idle)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[11518, 29129, 29103, 2652])).
% 51.29/33.96 tff(29131,plain,
% 51.29/33.96 (~node11(s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[12205, 29130])).
% 51.29/33.96 tff(29132,plain,
% 51.29/33.96 (~node13(s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[12220, 29130])).
% 51.29/33.96 tff(29133,plain,
% 51.29/33.96 (~node9(s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[12211, 29130])).
% 51.29/33.96 tff(29134,plain,
% 51.29/33.96 (m_processor_v_cmd(c_p0, s3, c_idle)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[10144, 29098])).
% 51.29/33.96 tff(29135,plain,
% 51.29/33.96 ($false),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[12247, 8266, 9539, 12309])).
% 51.29/33.96 tff(29136,plain,((~m_main_v_CMD(s3, c_read_h_shared)) | (~m_main_v_CMD(s3, c_response))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.96 tff(29137,plain,
% 51.29/33.96 (~m_main_v_CMD(s3, c_response)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29136, 29103])).
% 51.29/33.96 tff(29138,plain,
% 51.29/33.96 (m_memory_v_cmd(c_m, s3, c_response)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[12198, 29130])).
% 51.29/33.96 tff(29139,plain,
% 51.29/33.96 (~node14(s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[12243, 29138, 29137])).
% 51.29/33.96 tff(29140,plain,
% 51.29/33.96 (~m_processor_v_cmd(c_p2, s3, c_idle)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[12231, 29139, 29134, 29129, 29133, 29132, 29131])).
% 51.29/33.96 tff(29141,plain,
% 51.29/33.96 (node29(c_m, s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[9510, 29130])).
% 51.29/33.96 tff(29142,plain,
% 51.29/33.96 (m_memory_v_master(c_m, s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[9502, 29141])).
% 51.29/33.96 tff(29143,plain,
% 51.29/33.96 (node17(s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[9494, 29142])).
% 51.29/33.96 tff(29144,plain,
% 51.29/33.96 (~m_processor_v_master(c_p2, s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[10111, 29143])).
% 51.29/33.96 tff(29145,plain,
% 51.29/33.96 ($false),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[9594, 29144, 29140])).
% 51.29/33.96 tff(29146,plain,((~m_processor_v_snoop(c_p0, s3, c_invalid)) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_snoop(c_p0, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.96 tff(29147,plain,
% 51.29/33.96 (m_processor_v_snoop(c_p0, s4, c_invalid)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29146, 29077, 6657, 29096])).
% 51.29/33.96 tff(29148,plain,
% 51.29/33.96 (~m_processor_v_snoop(c_p0, s4, c_shared)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[21061, 4096, 29147])).
% 51.29/33.96 tff(29149,plain,
% 51.29/33.96 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[19807, 29148, 29095, 29076, 29077])).
% 51.29/33.96 tff(29150,plain,
% 51.29/33.96 (~m_main_v_CMD(s3, c_read_h_shared)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[9548, 29149])).
% 51.29/33.96 tff(29151,plain,
% 51.29/33.96 (m_memory_v_CMD(c_m, s3, c_read_h_owned)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[22112, 29150, 29070, 7332, 29084])).
% 51.29/33.96 tff(29152,plain,
% 51.29/33.96 (~node25(c_m, s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[19740, 9959, 29151])).
% 51.29/33.96 tff(29153,plain,
% 51.29/33.96 (~m_memory_v_REPLY_h_OWNED(c_m, s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[19749, 29152, 29083])).
% 51.29/33.96 tff(29154,plain,
% 51.29/33.96 ($false),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[19705, 29153, 29080])).
% 51.29/33.96 tff(29155,plain,((~m_memory_v_busy(c_m, s4)) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_state(c_p1, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.96 tff(29156,plain,
% 51.29/33.96 (~m_memory_v_busy(c_m, s4)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29155, 6657, 1752, 2595])).
% 51.29/33.96 tff(29157,plain,
% 51.29/33.96 (node56(c_p0, s4)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[69, 6874])).
% 51.29/33.96 tff(29158,plain,
% 51.29/33.96 (~m_processor_v_state(c_p0, s3, c_shared)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[9823, 17163, 1752])).
% 51.29/33.96 tff(29159,plain,
% 51.29/33.96 (m_processor_v_state(c_p0, s3, c_owned)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[9728, 9846, 1752])).
% 51.29/33.96 tff(29160,plain,
% 51.29/33.96 (~m_processor_v_master(c_p1, s2)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[5370, 794, 23232])).
% 51.29/33.96 tff(29161,plain,
% 51.29/33.96 (m_processor_v_reply_h_owned(c_p1, s2)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[10322, 29160, 2595])).
% 51.29/33.96 tff(29162,plain,
% 51.29/33.96 (~node5(s2)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[10336, 10333, 29161])).
% 51.29/33.96 tff(29163,plain,
% 51.29/33.96 (~node30(c_m, s2)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[10355, 23232, 5494])).
% 51.29/33.96 tff(29164,plain,
% 51.29/33.96 (~m_memory_v_REPLY_h_OWNED(c_m, s2)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[10556, 29163, 9858, 1095, 1096, 5494])).
% 51.29/33.96 tff(29165,plain,
% 51.29/33.96 (~m_main_v_REPLY_h_OWNED(s2)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[10560, 29164])).
% 51.29/33.96 tff(29166,plain,
% 51.29/33.96 ($false),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[10199, 10196, 29165, 29162])).
% 51.29/33.96 tff(29167,plain,((~m_processor_v_state(c_p0, s2, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_memory_v_busy(c_m, s3)) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_state(c_p0, s4, c_shared) | m_processor_v_master(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.96 tff(29168,plain,
% 51.29/33.96 (~m_processor_v_state(c_p0, s2, c_invalid)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29167, 9856, 2595, 6880, 6889, 9846])).
% 51.29/33.96 tff(29169,plain,
% 51.29/33.96 (m_processor_v_state(c_p1, s2, c_invalid)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[5074, 29168])).
% 51.29/33.96 tff(29170,plain,
% 51.29/33.96 (~m_processor_v_state(c_p1, s2, c_shared)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[5081, 29169])).
% 51.29/33.96 tff(29171,plain,
% 51.29/33.96 (m_processor_v_master(c_p1, s2)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[5131, 29169, 2621, 29170])).
% 51.29/33.96 tff(29172,plain,
% 51.29/33.96 (~m_processor_v_master(c_p0, s2)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[5370, 794, 29171])).
% 51.29/33.96 tff(29173,plain,
% 51.29/33.96 (m_processor_v_state(c_p0, s2, c_owned)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[2775, 29172, 29159])).
% 51.29/33.96 tff(29174,plain,
% 51.29/33.96 (m_processor_v_reply_h_owned(c_p0, s2)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[10173, 10170, 29172, 29173])).
% 51.29/33.96 tff(29175,plain,
% 51.29/33.96 (~node5(s2)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[10188, 10185, 29174])).
% 51.29/33.96 tff(29176,plain,
% 51.29/33.96 (m_main_v_CMD(s2, c_read_h_owned)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[5372, 29169, 2595])).
% 51.29/33.96 tff(29177,plain,
% 51.29/33.96 (m_memory_v_CMD(c_m, s2, c_read_h_owned)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[9899, 29176])).
% 51.29/33.96 tff(29178,plain,
% 51.29/33.96 (~node30(c_m, s2)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[9907, 29177])).
% 51.29/33.96 tff(29179,plain,
% 51.29/33.96 (~node32(c_p1, s2, s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[5107, 29169, 2621])).
% 51.29/33.96 tff(29180,plain,
% 51.29/33.96 (~m_processor_v_abort(c_p1, s2)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[5121, 29179])).
% 51.29/33.96 tff(29181,plain,
% 51.29/33.96 (node60(c_p1, s2)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[9293, 29180])).
% 51.29/33.96 tff(29182,plain,
% 51.29/33.96 (~m_processor_v_REPLY_h_STALL(c_p1, s2)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[9301, 29181])).
% 51.29/33.96 tff(29183,plain,
% 51.29/33.96 (~m_main_v_REPLY_h_STALL(s2)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[9309, 29182])).
% 51.29/33.96 tff(29184,plain,
% 51.29/33.96 (node7(s2)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[9916, 29183])).
% 51.29/33.96 tff(29185,plain,
% 51.29/33.96 (~m_memory_v_reply_h_stall(c_m, s2)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[9924, 29184])).
% 51.29/33.96 tff(29186,plain,
% 51.29/33.96 (~m_memory_v_busy(c_m, s2)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[9933, 29185, 29178])).
% 51.29/33.96 tff(29187,plain,
% 51.29/33.96 (~m_memory_v_REPLY_h_OWNED(c_m, s2)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[10452, 29186, 9856])).
% 51.29/33.96 tff(29188,plain,
% 51.29/33.96 (~m_main_v_REPLY_h_OWNED(s2)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[10560, 29187])).
% 51.29/33.96 tff(29189,plain,
% 51.29/33.96 ($false),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[10199, 10196, 29188, 29175])).
% 51.29/33.96 tff(29190,plain,((~node29(c_m, s3)) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_state(c_p0, s4, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.96 tff(29191,plain,
% 51.29/33.96 (~node29(c_m, s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29190, 1752, 2595])).
% 51.29/33.96 tff(29192,plain,
% 51.29/33.96 (m_memory_v_cmd(c_m, s3, c_idle)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[9510, 29191])).
% 51.29/33.96 tff(29193,plain,
% 51.29/33.96 (m_processor_v_state(c_p0, s3, c_owned)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[9842, 17163, 1752])).
% 51.29/33.96 tff(29194,plain,
% 51.29/33.96 (~m_processor_v_state(c_p0, s2, c_invalid)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[11716, 29193, 9596, 29192, 17162, 6880, 29158, 17163])).
% 51.29/33.96 tff(29195,plain,
% 51.29/33.96 (m_processor_v_state(c_p1, s2, c_invalid)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[5074, 29194])).
% 51.29/33.96 tff(29196,plain,
% 51.29/33.96 (~m_processor_v_state(c_p1, s2, c_shared)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[5081, 29195])).
% 51.29/33.96 tff(29197,plain,
% 51.29/33.96 (m_processor_v_master(c_p1, s2)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[5131, 29196, 2621, 29195])).
% 51.29/33.96 tff(29198,plain,
% 51.29/33.96 (m_processor_v_snoop(c_p1, s3, c_invalid)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[8655, 29197])).
% 51.29/33.96 tff(29199,plain,
% 51.29/33.96 (node47(c_p1, s2)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[5403, 5076, 2621, 5375, 2595])).
% 51.29/33.96 tff(29200,plain,
% 51.29/33.96 ($false),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[5419, 657, 21877, 29199])).
% 51.29/33.96 tff(29201,plain,((~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_waiting(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.96 tff(29202,plain,
% 51.29/33.96 (m_processor_v_waiting(c_p1, s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29201, 29195, 2595])).
% 51.29/33.96 tff(29203,plain,
% 51.29/33.96 (~node46(c_p1, s3, s4)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[12055, 29202, 17167])).
% 51.29/33.96 tff(29204,plain,
% 51.29/33.96 (~m_processor_v_abort(c_p1, s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[12063, 29203])).
% 51.29/33.96 tff(29205,plain,
% 51.29/33.96 ($false),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[12333, 29204, 29198, 2595, 17162, 6713, 1752, 2065, 17167, 6657])).
% 51.29/33.96 tff(29206,plain,((~node67(s4)) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s4, c_invalid) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_memory_v_busy(c_m, s4) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_cmd(c_p1, s3, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.96 tff(29207,plain,
% 51.29/33.96 (~m_processor_v_cmd(c_p1, s3, c_idle)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29206, 17166, 1752, 2595, 6657, 29156, 6557])).
% 51.29/33.96 tff(29208,plain,
% 51.29/33.96 (m_processor_v_master(c_p1, s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[9478, 29207])).
% 51.29/33.96 tff(29209,plain,
% 51.29/33.96 (~m_processor_v_master(c_p0, s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[9444, 794, 29208])).
% 51.29/33.96 tff(29210,plain,
% 51.29/33.96 (m_processor_v_state(c_p0, s3, c_owned)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[9842, 9374, 9378])).
% 51.29/33.96 tff(29211,plain,
% 51.29/33.96 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[2665, 137, 29210])).
% 51.29/33.96 tff(29212,plain,
% 51.29/33.96 (~m_processor_v_state(c_p0, s3, c_shared)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[9823, 9374, 9378])).
% 51.29/33.96 tff(29213,plain,
% 51.29/33.96 (m_processor_v_snoop(c_p1, s3, c_invalid)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[22785, 9405, 29211, 29212, 9379, 2595])).
% 51.29/33.96 tff(29214,plain,
% 51.29/33.96 (m_processor_v_abort(c_p1, s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[12333, 29213, 2595, 56, 6713, 9378, 2065, 6709, 6657])).
% 51.29/33.96 tff(29215,plain,
% 51.29/33.96 (node46(c_p1, s3, s4)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[12063, 29214])).
% 51.29/33.96 tff(29216,plain,
% 51.29/33.96 (~m_processor_v_waiting(c_p1, s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[12055, 29215, 6709])).
% 51.29/33.96 tff(29217,plain,
% 51.29/33.96 (~m_processor_v_state(c_p1, s2, c_invalid)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29201, 29216, 2595])).
% 51.29/33.96 tff(29218,plain,
% 51.29/33.96 (m_processor_v_state(c_p0, s2, c_invalid)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[5074, 29217])).
% 51.29/33.96 tff(29219,plain,
% 51.29/33.96 (m_processor_v_waiting(c_p0, s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[23240, 29218, 2595, 9405, 9379, 29211])).
% 51.29/33.96 tff(29220,plain,
% 51.29/33.96 (~node29(c_m, s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29190, 9378, 2595])).
% 51.29/33.96 tff(29221,plain,
% 51.29/33.96 (m_memory_v_cmd(c_m, s3, c_idle)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[9510, 29220])).
% 51.29/33.96 tff(29222,plain,
% 51.29/33.96 (~m_processor_v_cmd(c_p1, s3, c_idle)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[11716, 29218, 29221, 9379, 9374, 29210, 29212, 56])).
% 51.29/33.96 tff(29223,plain,
% 51.29/33.96 (m_processor_v_cmd(c_p1, s3, c_write_h_invalid)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[12429, 29222, 2595, 10644, 29213])).
% 51.29/33.96 tff(29224,plain,
% 51.29/33.96 (~m_processor_v_cmd(c_p1, s3, c_read_h_shared)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[16686, 11648, 29223])).
% 51.29/33.96 tff(29225,plain,
% 51.29/33.96 (~node9(s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[10785, 29222])).
% 51.29/33.96 tff(29226,plain,
% 51.29/33.96 (m_processor_v_master(c_p1, s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[9478, 29222])).
% 51.29/33.96 tff(29227,plain,
% 51.29/33.96 (~node16(s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[10569, 3386, 29226])).
% 51.29/33.96 tff(29228,plain,
% 51.29/33.96 (~m_processor_v_master(c_p2, s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[9562, 29227])).
% 51.29/33.96 tff(29229,plain,
% 51.29/33.96 (m_processor_v_cmd(c_p2, s3, c_idle)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[9594, 29228])).
% 51.29/33.96 tff(29230,plain,
% 51.29/33.96 (node10(s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[10800, 29229, 29221, 29225, 11531])).
% 51.29/33.96 tff(29231,plain,
% 51.29/33.96 (~m_main_v_CMD(s3, c_read_h_shared)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[16693, 3512, 29230, 29224])).
% 51.29/33.96 tff(29232,plain,
% 51.29/33.96 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[10595, 29231])).
% 51.29/33.96 tff(29233,plain,
% 51.29/33.96 (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[16680, 3716, 29223])).
% 51.29/33.96 tff(29234,plain,
% 51.29/33.96 (~m_main_v_CMD(s3, c_read_h_owned)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[10695, 3512, 29230, 29233])).
% 51.29/33.96 tff(29235,plain,
% 51.29/33.96 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[12458, 29234])).
% 51.29/33.96 tff(29236,plain,
% 51.29/33.96 (~node61(c_p1, s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[12468, 29235, 29232])).
% 51.29/33.96 tff(29237,plain,
% 51.29/33.96 (m_processor_v_REPLY_h_STALL(c_p1, s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[12476, 29236, 29214])).
% 51.29/33.96 tff(29238,plain,
% 51.29/33.96 (m_main_v_REPLY_h_STALL(s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[12483, 29237])).
% 51.29/33.96 tff(29239,plain,
% 51.29/33.96 (m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[10502, 29238])).
% 51.29/33.96 tff(29240,plain,
% 51.29/33.96 (~node60(c_p0, s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[10494, 29239])).
% 51.29/33.96 tff(29241,plain,
% 51.29/33.96 (m_processor_v_abort(c_p0, s3)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[10486, 29240])).
% 51.29/33.96 tff(29242,plain,
% 51.29/33.96 (node46(c_p0, s3, s4)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[11697, 29241])).
% 51.29/33.96 tff(29243,plain,
% 51.29/33.96 ($false),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[11714, 11708, 9374, 29242, 29219])).
% 51.29/33.96 tff(29244,plain,(m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~node56(c_p0, s4)) | m_processor_v_waiting(c_p1, s4) | m_processor_v_state(c_p1, s4, c_invalid) | m_memory_v_busy(c_m, s4) | m_processor_v_state(c_p1, s4, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.96 tff(29245,plain,
% 51.29/33.96 (m_processor_v_waiting(c_p1, s4)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29244, 29209, 2595, 6657, 29157, 17166, 29156])).
% 51.29/33.96 tff(29246,plain,
% 51.29/33.96 ($false),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[6603, 540, 6876, 29245])).
% 51.29/33.96 tff(29247,plain,((~node67(s4)) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_state(c_p0, s4, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.96 tff(29248,plain,
% 51.29/33.96 (~m_processor_v_state(c_p1, s3, c_owned)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29247, 6557, 6657, 1752])).
% 51.29/33.96 tff(29249,plain,
% 51.29/33.96 ($false),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[6815, 6876, 29248])).
% 51.29/33.96 tff(29250,plain,((~node67(s4)) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_state(c_p0, s4, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.96 tff(29251,plain,
% 51.29/33.96 (m_processor_v_state(c_p1, s4, c_shared)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29250, 6557, 1752])).
% 51.29/33.96 tff(29252,plain,
% 51.29/33.96 ($false),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[6591, 121, 6877, 29251])).
% 51.29/33.96 tff(29253,plain,((~node67(s4)) | (~m_processor_v_state(c_p0, s4, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.96 tff(29254,plain,
% 51.29/33.96 (~node67(s4)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29253, 28995])).
% 51.29/33.96 tff(29255,plain,
% 51.29/33.96 (m_processor_v_master(c_p1, s7)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[26782, 104, 4, 5668, 29254])).
% 51.29/33.96 tff(29256,plain,
% 51.29/33.96 (~m_processor_v_master(c_p0, s7)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[13229, 794, 29255])).
% 51.29/33.96 tff(29257,plain,
% 51.29/33.96 (m_processor_v_state(c_p0, s8, c_owned)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[18128, 26579, 14758, 55])).
% 51.29/33.96 tff(29258,plain,
% 51.29/33.96 (m_processor_v_state(c_p0, s7, c_owned)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[14544, 29257, 55])).
% 51.29/33.96 tff(29259,plain,
% 51.29/33.96 (m_processor_v_reply_h_owned(c_p0, s7)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[24862, 10170, 55, 29258])).
% 51.29/33.96 tff(29260,plain,
% 51.29/33.96 (~node5(s7)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[24866, 10185, 29259])).
% 51.29/33.96 tff(29261,plain,
% 51.29/33.96 (m_main_v_REPLY_h_OWNED(s7)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[15356, 29260])).
% 51.29/33.96 tff(29262,plain,
% 51.29/33.96 (m_memory_v_REPLY_h_OWNED(c_m, s7)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[15364, 29261])).
% 51.29/33.96 tff(29263,plain,
% 51.29/33.96 (m_processor_v_state(c_p1, s7, c_owned)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[26501, 26590, 26591, 29262, 26589, 26587, 14758, 29257, 26584, 26583])).
% 51.29/33.96 tff(29264,plain,
% 51.29/33.96 (~m_processor_v_state(c_p1, s6, c_invalid)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[26571, 1, 53, 55])).
% 51.29/33.96 tff(29265,plain,
% 51.29/33.96 (m_processor_v_state(c_p1, s6, c_owned)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[158, 29264, 1])).
% 51.29/33.96 tff(29266,plain,
% 51.29/33.96 (m_processor_v_master(c_p1, s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[531, 29265, 53, 1])).
% 51.29/33.96 tff(29267,plain,
% 51.29/33.96 (~m_processor_v_master(c_p0, s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[797, 794, 29266])).
% 51.29/33.96 tff(29268,plain,
% 51.29/33.96 (~m_processor_v_state(c_p0, s7, c_shared)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[14501, 29257, 55])).
% 51.29/33.96 tff(29269,plain,
% 51.29/33.96 (~m_processor_v_state(c_p0, s8, c_invalid)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[14429, 29257])).
% 51.29/33.96 tff(29270,plain,
% 51.29/33.96 (~m_processor_v_state(c_p0, s7, c_invalid)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[14541, 29269, 55])).
% 51.29/33.96 tff(29271,plain,
% 51.29/33.96 (~node32(c_p1, s5, s6)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[566, 29264, 53, 1])).
% 51.29/33.96 tff(29272,plain,
% 51.29/33.96 (~m_processor_v_abort(c_p1, s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[250, 29271])).
% 51.29/33.96 tff(29273,plain,
% 51.29/33.96 (node60(c_p1, s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[698, 29272])).
% 51.29/33.96 tff(29274,plain,
% 51.29/33.96 (~m_processor_v_REPLY_h_STALL(c_p1, s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[13790, 29273])).
% 51.29/33.96 tff(29275,plain,
% 51.29/33.96 (~m_main_v_REPLY_h_STALL(s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[13797, 29274])).
% 51.29/33.96 tff(29276,plain,
% 51.29/33.96 (node7(s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[7305, 29275])).
% 51.29/33.96 tff(29277,plain,
% 51.29/33.96 (~m_memory_v_reply_h_stall(c_m, s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[7313, 29276])).
% 51.29/33.96 tff(29278,plain,
% 51.29/33.96 (m_processor_v_CMD(c_p1, s5, c_read_h_owned)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[629, 29264, 53, 1])).
% 51.29/33.96 tff(29279,plain,
% 51.29/33.96 (m_main_v_CMD(s5, c_read_h_owned)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[13623, 1260, 29278, 13607])).
% 51.29/33.96 tff(29280,plain,
% 51.29/33.96 (m_memory_v_CMD(c_m, s5, c_read_h_owned)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[18233, 4207, 29279, 6954])).
% 51.29/33.96 tff(29281,plain,
% 51.29/33.96 (~node30(c_m, s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[18278, 29280])).
% 51.29/33.96 tff(29282,plain,
% 51.29/33.96 (~m_memory_v_busy(c_m, s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[7322, 29281, 29277])).
% 51.29/33.96 tff(29283,plain,
% 51.29/33.96 (m_processor_v_state(c_p1, s7, c_owned)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[26501, 13022, 6289, 15389, 6288, 6290, 14758, 14422, 14780, 14838])).
% 51.29/33.96 tff(29284,plain,
% 51.29/33.96 (~m_processor_v_state(c_p1, s7, c_shared)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[13520, 29283])).
% 51.29/33.96 tff(29285,plain,
% 51.29/33.96 (~m_processor_v_state(c_p1, s7, c_invalid)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[13403, 137, 29283])).
% 51.29/33.96 tff(29286,plain,
% 51.29/33.96 (m_processor_v_state(c_p0, s6, c_owned)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[2437, 2318, 2313])).
% 51.29/33.96 tff(29287,plain,
% 51.29/33.96 (~m_processor_v_state(c_p0, s6, c_shared)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[2390, 2318, 2358, 2326])).
% 51.29/33.96 tff(29288,plain,
% 51.29/33.96 (~m_processor_v_state(c_p0, s6, c_invalid)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[2434, 2318, 2358])).
% 51.29/33.96 tff(29289,plain,
% 51.29/33.96 (m_processor_v_reply_h_owned(c_p0, s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[18204, 29288, 800, 29287])).
% 51.29/33.96 tff(29290,plain,
% 51.29/33.96 (~node5(s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[18212, 29289])).
% 51.29/33.96 tff(29291,plain,
% 51.29/33.96 (m_main_v_REPLY_h_OWNED(s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[18220, 29290])).
% 51.29/33.96 tff(29292,plain,
% 51.29/33.96 (m_memory_v_REPLY_h_OWNED(c_m, s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[18228, 29291])).
% 51.29/33.96 tff(29293,plain,
% 51.29/33.96 ($false),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[13724, 2072, 7130, 7324])).
% 51.29/33.96 tff(29294,plain,((~node29(c_m, s5)) | m_memory_v_busy(c_m, s5)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.96 tff(29295,plain,
% 51.29/33.96 (~node29(c_m, s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29294, 7324])).
% 51.29/33.96 tff(29296,plain,
% 51.29/33.96 (m_memory_v_cmd(c_m, s5, c_idle)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[7144, 29295])).
% 51.29/33.96 tff(29297,plain,
% 51.29/33.96 ($false),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[18286, 10278, 24567, 7324, 28395])).
% 51.29/33.96 tff(29298,plain,((~node18(c_m, s5, s6)) | (~m_memory_v_busy(c_m, s6)) | m_memory_v_busy(c_m, s5)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.96 tff(29299,plain,
% 51.29/33.96 (~node18(c_m, s5, s6)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29298, 24567, 7324])).
% 51.29/33.96 tff(29300,plain,
% 51.29/33.96 (~m_memory_v_abort(c_m, s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[18266, 29299])).
% 51.29/33.96 tff(29301,plain,
% 51.29/33.96 (((~![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))) | ((~m_memory_v_busy(c_m, s6)) | m_memory_v_busy(c_m, s5) | (~node22(c_m, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))) | (~m_memory_v_busy(c_m, s6)) | m_memory_v_busy(c_m, s5) | (~node22(c_m, s5, s6)))),
% 51.29/33.96 inference(rewrite,[status(thm)],[])).
% 51.29/33.96 tff(29302,plain,
% 51.29/33.96 ((m_memory_v_busy(c_m, s5) | (~m_memory_v_busy(c_m, s6)) | (~node22(c_m, s5, s6))) <=> ((~m_memory_v_busy(c_m, s6)) | m_memory_v_busy(c_m, s5) | (~node22(c_m, s5, s6)))),
% 51.29/33.96 inference(rewrite,[status(thm)],[])).
% 51.29/33.96 tff(29303,plain,
% 51.29/33.96 (((~![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))) | (m_memory_v_busy(c_m, s5) | (~m_memory_v_busy(c_m, s6)) | (~node22(c_m, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))) | ((~m_memory_v_busy(c_m, s6)) | m_memory_v_busy(c_m, s5) | (~node22(c_m, s5, s6))))),
% 51.29/33.96 inference(monotonicity,[status(thm)],[29302])).
% 51.29/33.96 tff(29304,plain,
% 51.29/33.96 (((~![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))) | (m_memory_v_busy(c_m, s5) | (~m_memory_v_busy(c_m, s6)) | (~node22(c_m, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))) | (~m_memory_v_busy(c_m, s6)) | m_memory_v_busy(c_m, s5) | (~node22(c_m, s5, s6)))),
% 51.29/33.96 inference(transitivity,[status(thm)],[29303, 29301])).
% 51.29/33.96 tff(29305,plain,
% 51.29/33.96 ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))) | (m_memory_v_busy(c_m, s5) | (~m_memory_v_busy(c_m, s6)) | (~node22(c_m, s5, s6)))),
% 51.29/33.96 inference(quant_inst,[status(thm)],[])).
% 51.29/33.96 tff(29306,plain,
% 51.29/33.96 ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))) | (~m_memory_v_busy(c_m, s6)) | m_memory_v_busy(c_m, s5) | (~node22(c_m, s5, s6))),
% 51.29/33.96 inference(modus_ponens,[status(thm)],[29305, 29304])).
% 51.29/33.96 tff(29307,plain,
% 51.29/33.96 ($false),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29306, 10374, 24567, 7324, 28385])).
% 51.29/33.96 tff(29308,plain,((~node22(c_m, s5, s6)) | (~m_memory_v_busy(c_m, s6)) | m_memory_v_busy(c_m, s5)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.96 tff(29309,plain,
% 51.29/33.96 (~node22(c_m, s5, s6)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29308, 24567, 7324])).
% 51.29/33.96 tff(29310,plain,
% 51.29/33.96 (node26(c_m, s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[18254, 29300])).
% 51.29/33.96 tff(29311,plain,
% 51.29/33.96 (node25(c_m, s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[18246, 29310, 18240])).
% 51.29/33.96 tff(29312,assumption,(m_memory_v_CMD(c_m, s5, c_read_h_shared)), introduced(assumption)).
% 51.29/33.96 tff(29313,assumption,(node25(c_m, s5)), introduced(assumption)).
% 51.29/33.96 tff(29314,plain,
% 51.29/33.96 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))) | ((~m_memory_v_CMD(c_m, s5, c_read_h_shared)) | (~node25(c_m, s5)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))) | (~m_memory_v_CMD(c_m, s5, c_read_h_shared)) | (~node25(c_m, s5)))),
% 51.29/33.96 inference(rewrite,[status(thm)],[])).
% 51.29/33.96 tff(29315,plain,
% 51.29/33.96 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))) | ((~m_memory_v_CMD(c_m, s5, c_read_h_shared)) | (~node25(c_m, s5)))),
% 51.29/33.96 inference(quant_inst,[status(thm)],[])).
% 51.29/33.96 tff(29316,plain,
% 51.29/33.96 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))) | (~m_memory_v_CMD(c_m, s5, c_read_h_shared)) | (~node25(c_m, s5))),
% 51.29/33.96 inference(modus_ponens,[status(thm)],[29315, 29314])).
% 51.29/33.96 tff(29317,plain,
% 51.29/33.96 ($false),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29316, 10407, 29313, 29312])).
% 51.29/33.96 tff(29318,plain,((~node25(c_m, s5)) | (~m_memory_v_CMD(c_m, s5, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.96 tff(29319,plain,
% 51.29/33.96 (~m_memory_v_CMD(c_m, s5, c_read_h_shared)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29318, 29311])).
% 51.29/33.96 tff(29320,plain,
% 51.29/33.96 ($false),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[18237, 9959, 29313, 18273])).
% 51.29/33.96 tff(29321,plain,((~m_memory_v_CMD(c_m, s5, c_read_h_owned)) | (~node25(c_m, s5))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.96 tff(29322,plain,
% 51.29/33.96 (~m_memory_v_CMD(c_m, s5, c_read_h_owned)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29321, 29311])).
% 51.29/33.96 tff(29323,plain,
% 51.29/33.96 (~node21(c_m, s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[28438, 29322, 29319])).
% 51.29/33.96 tff(29324,plain,
% 51.29/33.96 (node19(c_m, s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[28409, 29323, 29309, 29300])).
% 51.29/33.96 tff(29325,plain,
% 51.29/33.96 (m_memory_v_master(c_m, s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[28381, 29324])).
% 51.29/33.96 tff(29326,plain,
% 51.29/33.96 (node17(s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[13600, 29325])).
% 51.29/33.96 tff(29327,plain,
% 51.29/33.96 (~m_processor_v_master(c_p0, s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[21313, 29326])).
% 51.29/33.96 tff(29328,plain,
% 51.29/33.96 (m_processor_v_cmd(c_p0, s5, c_idle)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[13657, 29327])).
% 51.29/33.96 tff(29329,plain,
% 51.29/33.96 (~m_processor_v_master(c_p1, s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[13595, 29326])).
% 51.29/33.96 tff(29330,plain,
% 51.29/33.96 (m_processor_v_cmd(c_p1, s5, c_idle)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[7028, 29329])).
% 51.29/33.96 tff(29331,plain,
% 51.29/33.96 (~m_main_v_CMD(s5, c_read_h_owned)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[13769, 13660, 7146])).
% 51.29/33.96 tff(29332,assumption,(~node22(c_m, s5, s6)), introduced(assumption)).
% 51.29/33.96 tff(29333,assumption,(m_main_v_CMD(s5, c_response)), introduced(assumption)).
% 51.29/33.96 tff(29334,plain,
% 51.29/33.96 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_response)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_response)))),
% 51.29/33.96 inference(rewrite,[status(thm)],[])).
% 51.29/33.96 tff(29335,plain,
% 51.29/33.96 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_response)))),
% 51.29/33.96 inference(quant_inst,[status(thm)],[])).
% 51.29/33.96 tff(29336,plain,
% 51.29/33.96 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_response))),
% 51.29/33.96 inference(modus_ponens,[status(thm)],[29335, 29334])).
% 51.29/33.96 tff(29337,plain,
% 51.29/33.96 (~m_processor_v_cmd(c_p0, s5, c_response)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29336, 19905, 13660])).
% 51.29/33.96 tff(29338,plain,
% 51.29/33.96 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s5, c_response)) | (~node12(s5)) | m_processor_v_cmd(c_p0, s5, c_response))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~m_main_v_CMD(s5, c_response)) | (~node12(s5)) | m_processor_v_cmd(c_p0, s5, c_response))),
% 51.29/33.96 inference(rewrite,[status(thm)],[])).
% 51.29/33.96 tff(29339,plain,
% 51.29/33.96 (((~m_main_v_CMD(s5, c_response)) | m_processor_v_cmd(c_p0, s5, c_response) | (~node12(s5))) <=> ((~m_main_v_CMD(s5, c_response)) | (~node12(s5)) | m_processor_v_cmd(c_p0, s5, c_response))),
% 51.29/33.96 inference(rewrite,[status(thm)],[])).
% 51.29/33.96 tff(29340,plain,
% 51.29/33.96 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s5, c_response)) | m_processor_v_cmd(c_p0, s5, c_response) | (~node12(s5)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s5, c_response)) | (~node12(s5)) | m_processor_v_cmd(c_p0, s5, c_response)))),
% 51.29/33.96 inference(monotonicity,[status(thm)],[29339])).
% 51.29/33.96 tff(29341,plain,
% 51.29/33.96 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s5, c_response)) | m_processor_v_cmd(c_p0, s5, c_response) | (~node12(s5)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~m_main_v_CMD(s5, c_response)) | (~node12(s5)) | m_processor_v_cmd(c_p0, s5, c_response))),
% 51.29/33.96 inference(transitivity,[status(thm)],[29340, 29338])).
% 51.29/33.96 tff(29342,plain,
% 51.29/33.96 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s5, c_response)) | m_processor_v_cmd(c_p0, s5, c_response) | (~node12(s5)))),
% 51.29/33.96 inference(quant_inst,[status(thm)],[])).
% 51.29/33.96 tff(29343,plain,
% 51.29/33.96 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (~m_main_v_CMD(s5, c_response)) | (~node12(s5)) | m_processor_v_cmd(c_p0, s5, c_response)),
% 51.29/33.96 inference(modus_ponens,[status(thm)],[29342, 29341])).
% 51.29/33.96 tff(29344,plain,
% 51.29/33.96 ((~m_main_v_CMD(s5, c_response)) | (~node12(s5))),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29343, 3644, 29337])).
% 51.29/33.96 tff(29345,plain,
% 51.29/33.96 (~node12(s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29344, 29333])).
% 51.29/33.96 tff(29346,plain,
% 51.29/33.96 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s5, c_response)) | (~node8(s5)) | m_processor_v_cmd(c_p0, s5, c_response))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~m_main_v_CMD(s5, c_response)) | (~node8(s5)) | m_processor_v_cmd(c_p0, s5, c_response))),
% 51.29/33.96 inference(rewrite,[status(thm)],[])).
% 51.29/33.96 tff(29347,plain,
% 51.29/33.96 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s5, c_response)) | (~node8(s5)) | m_processor_v_cmd(c_p0, s5, c_response))),
% 51.29/33.96 inference(quant_inst,[status(thm)],[])).
% 51.29/33.96 tff(29348,plain,
% 51.29/33.96 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~m_main_v_CMD(s5, c_response)) | (~node8(s5)) | m_processor_v_cmd(c_p0, s5, c_response)),
% 51.29/33.96 inference(modus_ponens,[status(thm)],[29347, 29346])).
% 51.29/33.96 tff(29349,plain,
% 51.29/33.96 ((~m_main_v_CMD(s5, c_response)) | (~node8(s5))),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29348, 2191, 29337])).
% 51.29/33.96 tff(29350,plain,
% 51.29/33.96 (~node8(s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29349, 29333])).
% 51.29/33.96 tff(29351,plain,
% 51.29/33.96 ((~m_processor_v_cmd(c_p2, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | node8(s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[7152, 1593, 13729])).
% 51.29/33.96 tff(29352,plain,
% 51.29/33.96 (~m_processor_v_cmd(c_p2, s5, c_idle)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29351, 29350, 7146])).
% 51.29/33.96 tff(29353,plain,
% 51.29/33.96 (~node9(s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[13732, 2146, 29352])).
% 51.29/33.96 tff(29354,plain,
% 51.29/33.96 (~node11(s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[13736, 2157, 29352])).
% 51.29/33.96 tff(29355,plain,
% 51.29/33.96 (node9(s5) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | node11(s5) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | node12(s5)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[13743, 2171, 13729])).
% 51.29/33.96 tff(29356,plain,
% 51.29/33.96 ($false),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29355, 29354, 29353, 13660, 7146, 29345])).
% 51.29/33.96 tff(29357,plain,((~m_main_v_CMD(s5, c_response)) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | (~m_memory_v_cmd(c_m, s5, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.96 tff(29358,plain,
% 51.29/33.96 (~m_main_v_CMD(s5, c_response)),
% 51.29/33.96 inference(unit_resolution,[status(thm)],[29357, 13660, 13729, 7146])).
% 51.29/33.96 tff(29359,plain,
% 51.29/33.96 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s5, c_response) | (~m_memory_v_CMD(c_m, s5, c_response)) | (~node1(s5)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s5, c_response) | (~m_memory_v_CMD(c_m, s5, c_response)) | (~node1(s5)))),
% 51.29/33.96 inference(rewrite,[status(thm)],[])).
% 51.29/33.96 tff(29360,plain,
% 51.29/33.96 (((~node1(s5)) | m_main_v_CMD(s5, c_response) | (~m_memory_v_CMD(c_m, s5, c_response))) <=> (m_main_v_CMD(s5, c_response) | (~m_memory_v_CMD(c_m, s5, c_response)) | (~node1(s5)))),
% 51.29/33.96 inference(rewrite,[status(thm)],[])).
% 51.29/33.96 tff(29361,plain,
% 51.29/33.96 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s5)) | m_main_v_CMD(s5, c_response) | (~m_memory_v_CMD(c_m, s5, c_response)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s5, c_response) | (~m_memory_v_CMD(c_m, s5, c_response)) | (~node1(s5))))),
% 51.29/33.96 inference(monotonicity,[status(thm)],[29360])).
% 51.29/33.96 tff(29362,plain,
% 51.29/33.96 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s5)) | m_main_v_CMD(s5, c_response) | (~m_memory_v_CMD(c_m, s5, c_response)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s5, c_response) | (~m_memory_v_CMD(c_m, s5, c_response)) | (~node1(s5)))),
% 51.29/33.96 inference(transitivity,[status(thm)],[29361, 29359])).
% 51.29/33.96 tff(29363,plain,
% 51.29/33.96 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s5)) | m_main_v_CMD(s5, c_response) | (~m_memory_v_CMD(c_m, s5, c_response)))),
% 51.29/33.96 inference(quant_inst,[status(thm)],[])).
% 51.29/33.96 tff(29364,plain,
% 51.29/33.96 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s5, c_response) | (~m_memory_v_CMD(c_m, s5, c_response)) | (~node1(s5))),
% 51.29/33.97 inference(modus_ponens,[status(thm)],[29363, 29362])).
% 51.29/33.97 tff(29365,plain,
% 51.29/33.97 (~m_memory_v_CMD(c_m, s5, c_response)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[29364, 4693, 6954, 29358])).
% 51.29/33.97 tff(29366,plain,
% 51.29/33.97 (~m_main_v_CMD(s5, c_read_h_shared)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[28478, 13660, 7146])).
% 51.29/33.97 tff(29367,plain,
% 51.29/33.97 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s5, c_read_h_shared) | (~node1(s5)) | (~m_memory_v_CMD(c_m, s5, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s5, c_read_h_shared) | (~node1(s5)) | (~m_memory_v_CMD(c_m, s5, c_read_h_shared)))),
% 51.29/33.97 inference(rewrite,[status(thm)],[])).
% 51.29/33.97 tff(29368,plain,
% 51.29/33.97 (((~node1(s5)) | m_main_v_CMD(s5, c_read_h_shared) | (~m_memory_v_CMD(c_m, s5, c_read_h_shared))) <=> (m_main_v_CMD(s5, c_read_h_shared) | (~node1(s5)) | (~m_memory_v_CMD(c_m, s5, c_read_h_shared)))),
% 51.29/33.97 inference(rewrite,[status(thm)],[])).
% 51.29/33.97 tff(29369,plain,
% 51.29/33.97 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s5)) | m_main_v_CMD(s5, c_read_h_shared) | (~m_memory_v_CMD(c_m, s5, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (m_main_v_CMD(s5, c_read_h_shared) | (~node1(s5)) | (~m_memory_v_CMD(c_m, s5, c_read_h_shared))))),
% 51.29/33.97 inference(monotonicity,[status(thm)],[29368])).
% 51.29/33.97 tff(29370,plain,
% 51.29/33.97 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s5)) | m_main_v_CMD(s5, c_read_h_shared) | (~m_memory_v_CMD(c_m, s5, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s5, c_read_h_shared) | (~node1(s5)) | (~m_memory_v_CMD(c_m, s5, c_read_h_shared)))),
% 51.29/33.97 inference(transitivity,[status(thm)],[29369, 29367])).
% 51.29/33.97 tff(29371,plain,
% 51.29/33.97 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s5)) | m_main_v_CMD(s5, c_read_h_shared) | (~m_memory_v_CMD(c_m, s5, c_read_h_shared)))),
% 51.29/33.97 inference(quant_inst,[status(thm)],[])).
% 51.29/33.97 tff(29372,plain,
% 51.29/33.97 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | m_main_v_CMD(s5, c_read_h_shared) | (~node1(s5)) | (~m_memory_v_CMD(c_m, s5, c_read_h_shared))),
% 51.29/33.97 inference(modus_ponens,[status(thm)],[29371, 29370])).
% 51.29/33.97 tff(29373,plain,
% 51.29/33.97 (~m_memory_v_CMD(c_m, s5, c_read_h_shared)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[29372, 4693, 6954, 29366])).
% 51.29/33.97 tff(29374,plain,
% 51.29/33.97 (~node21(c_m, s5)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[28438, 29373, 28432])).
% 51.29/33.97 tff(29375,plain,
% 51.29/33.97 (node19(c_m, s5)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[28409, 29374, 18249, 29332])).
% 51.29/33.97 tff(29376,plain,
% 51.29/33.97 (((~![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))) | ((~node19(c_m, s5)) | m_memory_v_CMD(c_m, s5, c_response))) <=> ((~![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))) | (~node19(c_m, s5)) | m_memory_v_CMD(c_m, s5, c_response))),
% 51.29/33.97 inference(rewrite,[status(thm)],[])).
% 51.29/33.97 tff(29377,plain,
% 51.29/33.97 ((~![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))) | ((~node19(c_m, s5)) | m_memory_v_CMD(c_m, s5, c_response))),
% 51.29/33.97 inference(quant_inst,[status(thm)],[])).
% 51.29/33.97 tff(29378,plain,
% 51.29/33.97 ((~![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))) | (~node19(c_m, s5)) | m_memory_v_CMD(c_m, s5, c_response)),
% 51.29/33.97 inference(modus_ponens,[status(thm)],[29377, 29376])).
% 51.29/33.97 tff(29379,plain,
% 51.29/33.97 ($false),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[29378, 10075, 29375, 29365])).
% 51.29/33.97 tff(29380,plain,((~m_processor_v_cmd(c_p0, s5, c_idle)) | m_memory_v_abort(c_m, s5) | node22(c_m, s5, s6) | m_memory_v_CMD(c_m, s5, c_read_h_owned) | (~m_memory_v_cmd(c_m, s5, c_idle)) | (~m_processor_v_cmd(c_p1, s5, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.97 tff(29381,plain,
% 51.29/33.97 (m_memory_v_CMD(c_m, s5, c_read_h_owned)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[29380, 13660, 13729, 29332, 18249, 7146])).
% 51.29/33.97 tff(29382,plain,
% 51.29/33.97 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~m_memory_v_CMD(c_m, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned) | (~node1(s5)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (~m_memory_v_CMD(c_m, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned) | (~node1(s5)))),
% 51.29/33.97 inference(rewrite,[status(thm)],[])).
% 51.29/33.97 tff(29383,plain,
% 51.29/33.97 (((~node1(s5)) | m_main_v_CMD(s5, c_read_h_owned) | (~m_memory_v_CMD(c_m, s5, c_read_h_owned))) <=> ((~m_memory_v_CMD(c_m, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned) | (~node1(s5)))),
% 51.29/33.97 inference(rewrite,[status(thm)],[])).
% 51.29/33.97 tff(29384,plain,
% 51.29/33.97 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s5)) | m_main_v_CMD(s5, c_read_h_owned) | (~m_memory_v_CMD(c_m, s5, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~m_memory_v_CMD(c_m, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned) | (~node1(s5))))),
% 51.29/33.97 inference(monotonicity,[status(thm)],[29383])).
% 51.29/33.97 tff(29385,plain,
% 51.29/33.97 (((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s5)) | m_main_v_CMD(s5, c_read_h_owned) | (~m_memory_v_CMD(c_m, s5, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (~m_memory_v_CMD(c_m, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned) | (~node1(s5)))),
% 51.29/33.97 inference(transitivity,[status(thm)],[29384, 29382])).
% 51.29/33.97 tff(29386,plain,
% 51.29/33.97 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | ((~node1(s5)) | m_main_v_CMD(s5, c_read_h_owned) | (~m_memory_v_CMD(c_m, s5, c_read_h_owned)))),
% 51.29/33.97 inference(quant_inst,[status(thm)],[])).
% 51.29/33.97 tff(29387,plain,
% 51.29/33.97 ((~![V: $i, X: $i] : ((~node1(X)) | m_main_v_CMD(X, V) | (~m_memory_v_CMD(c_m, X, V)))) | (~m_memory_v_CMD(c_m, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned) | (~node1(s5))),
% 51.29/33.97 inference(modus_ponens,[status(thm)],[29386, 29385])).
% 51.29/33.97 tff(29388,plain,
% 51.29/33.97 ($false),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[29387, 4693, 16969, 6954, 18273])).
% 51.29/33.97 tff(29389,plain,(m_main_v_CMD(s5, c_read_h_owned) | (~m_memory_v_CMD(c_m, s5, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.97 tff(29390,plain,
% 51.29/33.97 ($false),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[29389, 29381, 29331])).
% 51.29/33.97 tff(29391,plain,((~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_memory_v_cmd(c_m, s5, c_idle)) | node22(c_m, s5, s6) | m_memory_v_abort(c_m, s5) | (~m_processor_v_cmd(c_p1, s5, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.97 tff(29392,plain,
% 51.29/33.97 ($false),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[29391, 29330, 29328, 29309, 29300, 29296])).
% 51.29/33.97 tff(29393,plain,((~m_memory_v_busy(c_m, s6)) | (~m_memory_v_REPLY_h_OWNED(c_m, s5)) | m_memory_v_busy(c_m, s5)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.97 tff(29394,plain,
% 51.29/33.97 (~m_memory_v_busy(c_m, s6)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[29393, 29292, 7324])).
% 51.29/33.97 tff(29395,plain,
% 51.29/33.97 (m_processor_v_reply_h_owned(c_p0, s6)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[25481, 10170, 29286, 2318])).
% 51.29/33.97 tff(29396,plain,
% 51.29/33.97 (~node5(s6)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[25489, 29395])).
% 51.29/33.97 tff(29397,plain,
% 51.29/33.97 (m_main_v_REPLY_h_OWNED(s6)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[24252, 29396])).
% 51.29/33.97 tff(29398,plain,
% 51.29/33.97 (m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[24260, 29397])).
% 51.29/33.97 tff(29399,plain,
% 51.29/33.97 (~m_memory_v_busy(c_m, s7)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[25438, 29398, 29394])).
% 51.29/33.97 tff(29400,plain,
% 51.29/33.97 (~node29(c_m, s7)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[24392, 29399])).
% 51.29/33.97 tff(29401,plain,
% 51.29/33.97 (m_memory_v_cmd(c_m, s7, c_idle)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[13225, 29400])).
% 51.29/33.97 tff(29402,plain,
% 51.29/33.97 (~m_processor_v_cmd(c_p1, s7, c_idle)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[24602, 13174, 13266, 13267])).
% 51.29/33.97 tff(29403,plain,
% 51.29/33.97 (m_processor_v_master(c_p1, s7)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[14619, 29402])).
% 51.29/33.97 tff(29404,plain,
% 51.29/33.97 (~node16(s7)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[13191, 3386, 29403])).
% 51.29/33.97 tff(29405,plain,
% 51.29/33.97 (~node8(s7)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[28642, 13174, 24577])).
% 51.29/33.97 tff(29406,plain,
% 51.29/33.97 (~node9(s7)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[23650, 29405])).
% 51.29/33.97 tff(29407,plain,
% 51.29/33.97 (~m_processor_v_cmd(c_p1, s7, c_read_h_shared)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[26558, 29403, 13435, 24013])).
% 51.29/33.97 tff(29408,plain,
% 51.29/33.97 (~node10(s7)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[26564, 29407, 13174])).
% 51.29/33.97 tff(29409,plain,
% 51.29/33.97 (~m_processor_v_cmd(c_p2, s7, c_idle)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[13293, 29408, 13267, 29406])).
% 51.29/33.97 tff(29410,plain,
% 51.29/33.97 (m_processor_v_master(c_p2, s7)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[13368, 29409])).
% 51.29/33.97 tff(29411,plain,
% 51.29/33.97 ($false),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[13372, 1545, 29410, 29404])).
% 51.29/33.97 tff(29412,plain,((~m_main_v_CMD(s7, c_read_h_shared)) | (~m_memory_v_cmd(c_m, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_state(c_p1, s7, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.97 tff(29413,plain,
% 51.29/33.97 (~m_main_v_CMD(s7, c_read_h_shared)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[29412, 29401, 13266, 29283])).
% 51.29/33.97 tff(29414,plain,
% 51.29/33.97 (~m_memory_v_CMD(c_m, s7, c_read_h_shared)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[24612, 29413])).
% 51.29/33.97 tff(29415,plain,
% 51.29/33.97 (~node18(c_m, s7, s8)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[24889, 24651, 24390])).
% 51.29/33.97 tff(29416,plain,
% 51.29/33.97 (~m_memory_v_abort(c_m, s7)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[15415, 29415])).
% 51.29/33.97 tff(29417,plain,
% 51.29/33.97 (node26(c_m, s7)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[15403, 29416])).
% 51.29/33.97 tff(29418,plain,
% 51.29/33.97 (node25(c_m, s7)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[15395, 29417, 15389])).
% 51.29/33.97 tff(29419,plain,
% 51.29/33.97 (~node22(c_m, s7, s8)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[24657, 24651, 24390])).
% 51.29/33.97 tff(29420,plain,
% 51.29/33.97 (node21(c_m, s7)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[24901, 29416, 24651, 29419])).
% 51.29/33.97 tff(29421,plain,
% 51.29/33.97 (m_memory_v_CMD(c_m, s7, c_read_h_owned)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[24649, 29420, 24616])).
% 51.29/33.97 tff(29422,plain,
% 51.29/33.97 ($false),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[15386, 29421, 29418])).
% 51.29/33.97 tff(29423,plain,((~m_memory_v_busy(c_m, s8)) | m_memory_v_CMD(c_m, s7, c_read_h_shared) | (~m_memory_v_REPLY_h_OWNED(c_m, s7)) | m_memory_v_busy(c_m, s7)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.97 tff(29424,plain,
% 51.29/33.97 (~m_memory_v_busy(c_m, s8)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[29423, 29414, 15389, 29399])).
% 51.29/33.97 tff(29425,plain,
% 51.29/33.97 (~node29(c_m, s8)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[15481, 2072, 29424])).
% 51.29/33.97 tff(29426,plain,
% 51.29/33.97 (m_memory_v_cmd(c_m, s8, c_idle)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[15489, 29425])).
% 51.29/33.97 tff(29427,plain,
% 51.29/33.97 (~node52(c_p1, s8, s9)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[26219, 13154, 6290])).
% 51.29/33.97 tff(29428,plain,
% 51.29/33.97 (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[26247, 13154, 6290])).
% 51.29/33.97 tff(29429,plain,
% 51.29/33.97 (~m_processor_v_cmd(c_p0, s8, c_idle)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[26401, 26222, 15510, 29428, 29427, 14422, 6289, 13022, 6288, 6290])).
% 51.29/33.97 tff(29430,plain,
% 51.29/33.97 (m_processor_v_master(c_p0, s8)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[16130, 29429])).
% 51.29/33.97 tff(29431,plain,
% 51.29/33.97 (m_processor_v_abort(c_p0, s8)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[26406, 29430, 14758, 14838, 14780, 14422])).
% 51.29/33.97 tff(29432,plain,
% 51.29/33.97 (m_processor_v_CMD(c_p0, s8, c_read_h_owned)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[15129, 29431, 26223])).
% 51.29/33.97 tff(29433,plain,
% 51.29/33.97 (~m_main_v_CMD(s8, c_read_h_owned)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[15519, 29428])).
% 51.29/33.97 tff(29434,plain,
% 51.29/33.97 ($false),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[15523, 1612, 15085, 29433, 29432])).
% 51.29/33.97 tff(29435,plain,((~m_processor_v_waiting(c_p1, s8)) | m_processor_v_waiting(c_p0, s9) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_state(c_p0, s9, c_invalid) | (~m_processor_v_state(c_p0, s8, c_owned)) | (~m_memory_v_cmd(c_m, s8, c_idle)) | m_processor_v_state(c_p1, s9, c_shared) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_waiting(c_p1, s9)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.97 tff(29436,plain,
% 51.29/33.97 (~m_processor_v_waiting(c_p1, s8)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[29435, 29426, 14838, 14780, 14422, 14758, 6289, 13022, 6288, 6290])).
% 51.29/33.97 tff(29437,plain,
% 51.29/33.97 (m_processor_v_master(c_p1, s6)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[25445, 29436, 53, 29286, 13266, 29283, 15882, 13057, 2358, 2326])).
% 51.29/33.97 tff(29438,plain,
% 51.29/33.97 (~m_processor_v_waiting(c_p1, s7)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[26121, 29436, 13266, 29283, 29401])).
% 51.29/33.97 tff(29439,plain,
% 51.29/33.97 ($false),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[25475, 29438, 29437, 673, 29285, 29284])).
% 51.29/33.97 tff(29440,plain,(m_processor_v_master(c_p0, s6) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p0, s7, c_invalid) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_state(c_p0, s9, c_invalid) | (~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_waiting(c_p0, s9) | m_processor_v_state(c_p1, s9, c_shared) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_waiting(c_p1, s9) | (~m_memory_v_REPLY_h_OWNED(c_m, s7)) | m_memory_v_busy(c_m, s5) | m_processor_v_master(c_p0, s5) | (~m_processor_v_state(c_p0, s7, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.97 tff(29441,plain,
% 51.29/33.97 (m_processor_v_master(c_p0, s6)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[29440, 29282, 53, 29270, 29268, 26583, 26584, 29257, 14758, 26591, 26590, 26589, 26587, 29262, 23598, 29267, 29258])).
% 51.29/33.97 tff(29442,plain,
% 51.29/33.97 (~m_processor_v_master(c_p1, s6)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[16318, 29441])).
% 51.29/33.97 tff(29443,plain,
% 51.29/33.97 (m_processor_v_reply_h_owned(c_p1, s6)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[24236, 29442, 29265])).
% 51.29/33.97 tff(29444,plain,
% 51.29/33.97 (~node5(s6)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[24244, 29443])).
% 51.29/33.97 tff(29445,plain,
% 51.29/33.97 (m_main_v_REPLY_h_OWNED(s6)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[24252, 29444])).
% 51.29/33.97 tff(29446,plain,
% 51.29/33.97 (m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[24260, 29445])).
% 51.29/33.97 tff(29447,plain,
% 51.29/33.97 (~node59(c_p1, s5)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[710, 707, 29278])).
% 51.29/33.97 tff(29448,plain,
% 51.29/33.97 (~m_processor_v_REPLY_h_WAITING(c_p1, s5)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[732, 29447, 29273])).
% 51.29/33.97 tff(29449,plain,
% 51.29/33.97 (~m_main_v_REPLY_h_WAITING(s5)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[750, 29448])).
% 51.29/33.97 tff(29450,plain,
% 51.29/33.97 (node6(s5)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[765, 29449])).
% 51.29/33.97 tff(29451,plain,
% 51.29/33.97 (~m_processor_v_reply_h_waiting(c_p0, s5)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[783, 29450])).
% 51.29/33.97 tff(29452,plain,
% 51.29/33.97 (~m_processor_v_waiting(c_p0, s5)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[2302, 2296, 29267, 29451])).
% 51.29/33.97 tff(29453,plain,
% 51.29/33.97 (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[25034, 7953, 29279])).
% 51.29/33.97 tff(29454,plain,
% 51.29/33.97 ($false),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[25041, 1612, 13841, 1026, 7063])).
% 51.29/33.97 tff(29455,plain,(m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid))), inference(lemma,lemma(discharge,[]))).
% 51.29/33.97 tff(29456,plain,
% 51.29/33.97 (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[29455, 29453])).
% 51.29/33.97 tff(29457,plain,
% 51.29/33.97 (~node50(c_p0, s5)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[25048, 29456])).
% 51.29/33.97 tff(29458,plain,
% 51.29/33.97 (node34(c_p1, s5, s6)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[617, 29264, 53, 1])).
% 51.29/33.97 tff(29459,plain,
% 51.29/33.97 (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[422, 416, 1, 29458])).
% 51.29/33.97 tff(29460,plain,
% 51.29/33.97 (~m_main_v_CMD(s5, c_read_h_shared)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[18087, 29459])).
% 51.29/33.97 tff(29461,plain,
% 51.29/33.97 (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[18084, 29460])).
% 51.29/33.97 tff(29462,plain,
% 51.29/33.97 (~node47(c_p0, s5)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[26667, 657, 29461])).
% 51.29/33.97 tff(29463,plain,
% 51.29/33.97 (~node48(c_p0, s5)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[25026, 11562, 29267])).
% 51.29/33.97 tff(29464,plain,
% 51.29/33.97 (~m_processor_v_abort(c_p0, s5)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[18089, 29273])).
% 51.29/33.97 tff(29465,plain,
% 51.29/33.97 (~m_main_v_CMD(s5, c_response)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[13676, 12316, 29279])).
% 51.29/33.97 tff(29466,plain,
% 51.29/33.97 (~m_processor_v_CMD(c_p0, s5, c_response)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[25056, 1612, 13841, 29465])).
% 51.29/33.97 tff(29467,plain,
% 51.29/33.97 (~node49(c_p0, s5)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[25060, 11579, 29466])).
% 51.29/33.97 tff(29468,plain,
% 51.29/33.97 (~m_main_v_CMD(s5, c_write_h_resp_h_shared)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[25010, 7940, 29279])).
% 51.29/33.97 tff(29469,plain,
% 51.29/33.97 (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[25017, 1612, 29468, 13841])).
% 51.29/33.97 tff(29470,plain,
% 51.29/33.97 (~node51(c_p0, s5)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[25021, 11549, 29469])).
% 51.29/33.97 tff(29471,plain,
% 51.29/33.97 (node52(c_p0, s5, s6)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[25072, 29470, 29467, 29464, 29463, 29462, 29457])).
% 51.29/33.97 tff(29472,plain,
% 51.29/33.97 (~m_processor_v_waiting(c_p0, s6)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[25080, 29471, 29452])).
% 51.29/33.97 tff(29473,plain,
% 51.29/33.97 (~m_processor_v_state(c_p1, s7, c_invalid)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[13403, 137, 29263])).
% 51.29/33.97 tff(29474,plain,
% 51.29/33.97 (m_processor_v_state(c_p0, s6, c_owned)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[18035, 29442, 53, 29473])).
% 51.29/33.97 tff(29475,plain,
% 51.29/33.97 (m_processor_v_state(c_p0, s5, c_owned)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[26669, 29474, 29472])).
% 51.29/33.97 tff(29476,plain,
% 51.29/33.97 ((~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_reply_h_owned(c_p0, s5)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[18201, 10170, 29267])).
% 51.29/33.97 tff(29477,plain,
% 51.29/33.97 (m_processor_v_reply_h_owned(c_p0, s5)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[29476, 29475])).
% 51.29/33.97 tff(29478,plain,
% 51.29/33.97 (~node5(s5)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[18212, 29477])).
% 51.29/33.97 tff(29479,plain,
% 51.29/33.97 (m_main_v_REPLY_h_OWNED(s5)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[18220, 29478])).
% 51.29/33.97 tff(29480,plain,
% 51.29/33.97 (m_memory_v_REPLY_h_OWNED(c_m, s5)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[18228, 29479])).
% 51.29/33.97 tff(29481,plain,
% 51.29/33.97 (~m_memory_v_busy(c_m, s6)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[29393, 29480, 29282])).
% 51.29/33.97 tff(29482,plain,
% 51.29/33.97 (~m_memory_v_busy(c_m, s7)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[25438, 29481, 29446])).
% 51.29/33.97 tff(29483,plain,
% 51.29/33.97 (~node29(c_m, s7)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[24392, 29482])).
% 51.29/33.97 tff(29484,plain,
% 51.29/33.97 (m_memory_v_cmd(c_m, s7, c_idle)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[13225, 29483])).
% 51.29/33.97 tff(29485,plain,
% 51.29/33.97 (~m_main_v_CMD(s7, c_read_h_shared)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[29412, 29484, 23598, 29263])).
% 51.29/33.97 tff(29486,plain,
% 51.29/33.97 (~m_memory_v_CMD(c_m, s7, c_read_h_shared)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[24612, 29485])).
% 51.29/33.97 tff(29487,plain,
% 51.29/33.97 (~m_memory_v_busy(c_m, s8)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[29423, 29486, 29262, 29482])).
% 51.29/33.97 tff(29488,plain,
% 51.29/33.97 (~m_processor_v_state(c_p1, s8, c_invalid)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[13056, 26590])).
% 51.29/33.97 tff(29489,plain,
% 51.29/33.97 (~m_processor_v_state(c_p1, s8, c_shared)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[13150, 121, 26590])).
% 51.29/33.97 tff(29490,plain,
% 51.29/33.97 (m_processor_v_waiting(c_p1, s8)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[25445, 29474, 53, 29442, 23598, 29263, 29489, 29488, 29270, 29268])).
% 51.29/33.97 tff(29491,plain,
% 51.29/33.97 (~m_memory_v_cmd(c_m, s8, c_idle)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[29435, 29490, 26583, 26584, 29257, 14758, 26591, 26590, 26589, 26587])).
% 51.29/33.97 tff(29492,plain,
% 51.29/33.97 (node29(c_m, s8)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[15489, 29491])).
% 51.29/33.97 tff(29493,plain,
% 51.29/33.97 ($false),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[15481, 2072, 29492, 29487])).
% 51.29/33.97 tff(29494,plain,(m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_waiting(c_p0, s9) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_master(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 51.29/33.97 tff(29495,plain,
% 51.29/33.97 (m_processor_v_state(c_p1, s6, c_shared)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[29494, 55, 53, 14758])).
% 51.29/33.97 tff(29496,plain,
% 51.29/33.97 (m_processor_v_master(c_p1, s6)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[19060, 29495, 29263])).
% 51.29/33.97 tff(29497,plain,
% 51.29/33.97 (~m_processor_v_state(c_p1, s7, c_shared)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[13520, 29263])).
% 51.29/33.97 tff(29498,plain,
% 51.29/33.97 (~node32(c_p1, s6, s7)),
% 51.29/33.97 inference(unit_resolution,[status(thm)],[13531, 29495, 29497])).
% 51.36/33.97 tff(29499,plain,
% 51.36/33.97 (~m_processor_v_abort(c_p1, s6)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[13472, 29498])).
% 51.36/33.97 tff(29500,plain,
% 51.36/33.97 (~m_memory_v_busy(c_m, s6)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[25694, 29499, 29473, 29497, 29496])).
% 51.36/33.97 tff(29501,plain,
% 51.36/33.97 (~m_processor_v_master(c_p0, s6)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[16318, 29496])).
% 51.36/33.97 tff(29502,plain,
% 51.36/33.97 (m_processor_v_state(c_p0, s6, c_owned)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[2437, 29501, 29258])).
% 51.36/33.97 tff(29503,plain,
% 51.36/33.97 (m_processor_v_reply_h_owned(c_p0, s6)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[25481, 10170, 29502, 29501])).
% 51.36/33.97 tff(29504,plain,
% 51.36/33.97 (~node5(s6)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[25489, 29503])).
% 51.36/33.97 tff(29505,plain,
% 51.36/33.97 (m_main_v_REPLY_h_OWNED(s6)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[24252, 29504])).
% 51.36/33.97 tff(29506,plain,
% 51.36/33.97 (m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[24260, 29505])).
% 51.36/33.97 tff(29507,plain,
% 51.36/33.97 (~m_memory_v_busy(c_m, s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[25438, 29506, 29500])).
% 51.36/33.97 tff(29508,plain,
% 51.36/33.97 (~node29(c_m, s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[24392, 29507])).
% 51.36/33.97 tff(29509,plain,
% 51.36/33.97 (m_memory_v_cmd(c_m, s7, c_idle)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[13225, 29508])).
% 51.36/33.97 tff(29510,plain,
% 51.36/33.97 (~m_main_v_CMD(s7, c_read_h_shared)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[29412, 29509, 23598, 29263])).
% 51.36/33.97 tff(29511,plain,
% 51.36/33.97 (~m_memory_v_CMD(c_m, s7, c_read_h_shared)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[24612, 29510])).
% 51.36/33.97 tff(29512,plain,
% 51.36/33.97 (~m_memory_v_busy(c_m, s8)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[29423, 29511, 29262, 29507])).
% 51.36/33.97 tff(29513,plain,
% 51.36/33.97 (m_processor_v_waiting(c_p1, s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[25475, 29496, 673, 29473, 29497])).
% 51.36/33.97 tff(29514,plain,
% 51.36/33.97 (m_processor_v_waiting(c_p1, s8)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[26121, 29509, 23598, 29263, 29513])).
% 51.36/33.97 tff(29515,plain,
% 51.36/33.97 (~m_memory_v_cmd(c_m, s8, c_idle)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[29435, 29514, 26583, 26584, 29257, 14758, 26591, 26590, 26589, 26587])).
% 51.36/33.97 tff(29516,plain,
% 51.36/33.97 (node29(c_m, s8)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[15489, 29515])).
% 51.36/33.97 tff(29517,plain,
% 51.36/33.97 ($false),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[15481, 2072, 29516, 29512])).
% 51.36/33.97 tff(29518,plain,(m_processor_v_master(c_p0, s7) | m_processor_v_waiting(c_p0, s9) | m_processor_v_state(c_p1, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.36/33.97 tff(29519,plain,
% 51.36/33.97 (m_processor_v_waiting(c_p0, s9)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[29518, 29256, 53])).
% 51.36/33.97 tff(29520,plain,
% 51.36/33.97 (node67(s9)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[13399, 53, 4])).
% 51.36/33.97 tff(29521,plain,
% 51.36/33.97 (m_processor_v_writable(c_p0, s9)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[14729, 29520])).
% 51.36/33.97 tff(29522,plain,
% 51.36/33.97 (node56(c_p0, s9)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[14737, 29521])).
% 51.36/33.97 tff(29523,plain,
% 51.36/33.97 ($false),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[14756, 540, 29522, 29519])).
% 51.36/33.97 tff(29524,plain,(m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p1, s7, c_owned) | node67(s6)), inference(lemma,lemma(discharge,[]))).
% 51.36/33.97 tff(29525,plain,
% 51.36/33.97 (m_processor_v_state(c_p1, s5, c_owned)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[29524, 52, 4])).
% 51.36/33.97 tff(29526,plain,
% 51.36/33.97 (m_processor_v_state(c_p1, s8, c_owned)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[23334, 29525, 5])).
% 51.36/33.97 tff(29527,plain,
% 51.36/33.97 (m_processor_v_master(c_p1, s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[13152, 29526, 4])).
% 51.36/33.97 tff(29528,plain,
% 51.36/33.97 (~m_processor_v_master(c_p0, s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[13229, 794, 29527])).
% 51.36/33.97 tff(29529,plain,
% 51.36/33.97 (node67(s9)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[24975, 29528, 5])).
% 51.36/33.97 tff(29530,plain,
% 51.36/33.97 (m_processor_v_writable(c_p0, s9)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[14729, 29529])).
% 51.36/33.97 tff(29531,plain,
% 51.36/33.97 (node56(c_p0, s9)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[14737, 29530])).
% 51.36/33.97 tff(29532,plain,
% 51.36/33.97 (m_processor_v_state(c_p0, s9, c_owned)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[14745, 29531])).
% 51.36/33.97 tff(29533,plain,
% 51.36/33.97 (~node32(c_p1, s7, s8)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[13031, 29526, 4])).
% 51.36/33.97 tff(29534,plain,
% 51.36/33.97 (~m_processor_v_abort(c_p1, s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[13049, 29533])).
% 51.36/33.97 tff(29535,plain,
% 51.36/33.97 (node60(c_p1, s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[24175, 29534])).
% 51.36/33.97 tff(29536,plain,
% 51.36/33.97 (~m_processor_v_state(c_p1, s8, c_invalid)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[13056, 29526])).
% 51.36/33.97 tff(29537,plain,
% 51.36/33.97 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p1, s7, c_owned) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~node33(c_p1, s7, s8)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p1, s7, c_owned) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~node33(c_p1, s7, s8)))),
% 51.36/33.97 inference(rewrite,[status(thm)],[])).
% 51.36/33.97 tff(29538,plain,
% 51.36/33.97 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | (m_processor_v_state(c_p1, s7, c_owned) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~node33(c_p1, s7, s8)))),
% 51.36/33.97 inference(quant_inst,[status(thm)],[])).
% 51.36/33.97 tff(29539,plain,
% 51.36/33.97 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)) | (~node33(I0, X, Y)))) | m_processor_v_state(c_p1, s7, c_owned) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~node33(c_p1, s7, s8))),
% 51.36/33.97 inference(modus_ponens,[status(thm)],[29538, 29537])).
% 51.36/33.97 tff(29540,plain,
% 51.36/33.97 (~node33(c_p1, s7, s8)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[29539, 830, 4, 29526])).
% 51.36/33.97 tff(29541,plain,
% 51.36/33.97 (node34(c_p1, s7, s8)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[23515, 29534, 29527])).
% 51.36/33.97 tff(29542,plain,
% 51.36/33.97 (~m_processor_v_state(c_p1, s8, c_shared)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[13150, 121, 29526])).
% 51.36/33.97 tff(29543,plain,
% 51.36/33.97 (m_processor_v_CMD(c_p1, s7, c_read_h_owned)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[23570, 29542, 29541, 29540, 29536])).
% 51.36/33.97 tff(29544,plain,
% 51.36/33.97 (~node59(c_p1, s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[24203, 29543])).
% 51.36/33.97 tff(29545,plain,
% 51.36/33.97 (~m_processor_v_REPLY_h_WAITING(c_p1, s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[24196, 29544, 29535])).
% 51.36/33.97 tff(29546,plain,
% 51.36/33.97 (~m_main_v_REPLY_h_WAITING(s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[24185, 29545])).
% 51.36/33.97 tff(29547,plain,
% 51.36/33.97 (node6(s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[23481, 29546])).
% 51.36/33.97 tff(29548,plain,
% 51.36/33.97 (~m_processor_v_reply_h_waiting(c_p0, s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[23473, 29547])).
% 51.36/33.97 tff(29549,plain,
% 51.36/33.97 ((~m_processor_v_waiting(c_p0, s7)) | m_processor_v_reply_h_waiting(c_p0, s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[23465, 2296, 29528])).
% 51.36/33.97 tff(29550,plain,
% 51.36/33.97 (~m_processor_v_waiting(c_p0, s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[29549, 29548])).
% 51.36/33.97 tff(29551,plain,
% 51.36/33.97 (~m_processor_v_state(c_p0, s7, c_owned)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[2570, 29550, 5])).
% 51.36/33.97 tff(29552,plain,
% 51.36/33.97 (~m_processor_v_state(c_p0, s8, c_owned)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[14544, 29551, 29528])).
% 51.36/33.97 tff(29553,plain,
% 51.36/33.97 (m_processor_v_waiting(c_p0, s9)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[18128, 29552, 29528, 29532])).
% 51.36/33.97 tff(29554,plain,
% 51.36/33.97 ($false),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[14756, 540, 29531, 29553])).
% 51.36/33.97 tff(29555,plain,(m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_state(c_p1, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.36/33.97 tff(29556,plain,
% 51.36/33.97 (m_processor_v_state(c_p0, s6, c_owned)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[29555, 4])).
% 51.36/33.97 tff(29557,plain,
% 51.36/33.97 (m_processor_v_master(c_p0, s6)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[25924, 29556, 3])).
% 51.36/33.97 tff(29558,plain,
% 51.36/33.97 (~m_processor_v_master(c_p1, s6)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[16318, 29557])).
% 51.36/33.97 tff(29559,plain,
% 51.36/33.97 (~m_processor_v_state(c_p1, s6, c_owned)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[13505, 29558, 4])).
% 51.36/33.97 tff(29560,plain,
% 51.36/33.97 (~node56(c_p1, s6)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[111, 29559])).
% 51.36/33.97 tff(29561,plain,
% 51.36/33.97 (~m_processor_v_writable(c_p1, s6)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[672, 29560])).
% 51.36/33.97 tff(29562,plain,
% 51.36/33.97 (~node67(s6)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[682, 29561])).
% 51.36/33.97 tff(29563,plain,
% 51.36/33.97 (node67(s6)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[29524, 53, 4])).
% 51.36/33.97 tff(29564,plain,
% 51.36/33.97 ($false),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[682, 673, 29563])).
% 51.36/33.97 tff(29565,plain,(m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p1, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.36/33.97 tff(29566,plain,
% 51.36/33.97 (m_processor_v_state(c_p1, s7, c_owned)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[29565, 53])).
% 51.36/33.97 tff(29567,plain,
% 51.36/33.97 (~m_processor_v_state(c_p0, s4, c_owned)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[29253, 6557])).
% 51.36/33.97 tff(29568,plain,
% 51.36/33.97 (~node56(c_p0, s4)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[61, 29567])).
% 51.36/33.97 tff(29569,plain,
% 51.36/33.97 (~m_processor_v_writable(c_p0, s4)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[69, 29568])).
% 51.36/33.97 tff(29570,plain,
% 51.36/33.97 ($false),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[73, 43, 6557, 29569])).
% 51.36/33.97 tff(29571,plain,(~node67(s4)), inference(lemma,lemma(discharge,[]))).
% 51.36/33.97 tff(29572,plain,
% 51.36/33.97 (~m_processor_v_state(c_p1, s7, c_invalid)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[13403, 137, 29566])).
% 51.36/33.97 tff(29573,plain,
% 51.36/33.97 (m_processor_v_master(c_p1, s6)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[24966, 5, 13102])).
% 51.36/33.97 tff(29574,plain,
% 51.36/33.97 ($false),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[16318, 29573, 2440])).
% 51.36/33.97 tff(29575,plain,(m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_state(c_p1, s7, c_invalid) | (~m_processor_v_state(c_p0, s7, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.36/33.97 tff(29576,plain,
% 51.36/33.97 (~m_processor_v_state(c_p0, s7, c_owned)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[29575, 5, 29572])).
% 51.36/33.97 tff(29577,plain,
% 51.36/33.97 (node67(s9)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[18040, 5, 53])).
% 51.36/33.97 tff(29578,plain,
% 51.36/33.97 (m_processor_v_writable(c_p0, s9)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[14729, 29577])).
% 51.36/33.97 tff(29579,plain,
% 51.36/33.97 (node56(c_p0, s9)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[14737, 29578])).
% 51.36/33.97 tff(29580,plain,
% 51.36/33.97 (~m_processor_v_waiting(c_p0, s9)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[14756, 540, 29579])).
% 51.36/33.97 tff(29581,plain,
% 51.36/33.97 (m_processor_v_master(c_p0, s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[29518, 29580, 53])).
% 51.36/33.97 tff(29582,plain,
% 51.36/33.97 (m_processor_v_state(c_p1, s7, c_owned)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[26782, 24694, 5669, 5668, 5670])).
% 51.36/33.97 tff(29583,plain,
% 51.36/33.97 (m_processor_v_reply_h_owned(c_p1, s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[15344, 29582, 24694])).
% 51.36/33.97 tff(29584,plain,
% 51.36/33.97 (~node5(s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[15348, 10333, 29583])).
% 51.36/33.97 tff(29585,plain,
% 51.36/33.97 (m_main_v_REPLY_h_OWNED(s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[15356, 29584])).
% 51.36/33.97 tff(29586,plain,
% 51.36/33.97 (m_memory_v_REPLY_h_OWNED(c_m, s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[15364, 29585])).
% 51.36/33.97 tff(29587,plain,
% 51.36/33.97 (~node56(c_p0, s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[2311, 3])).
% 51.36/33.97 tff(29588,plain,
% 51.36/33.97 (~m_processor_v_writable(c_p0, s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[2584, 29587])).
% 51.36/33.97 tff(29589,plain,
% 51.36/33.97 (~node67(s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[2592, 29588])).
% 51.36/33.97 tff(29590,plain,
% 51.36/33.97 (~node56(c_p0, s8)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[14719, 3])).
% 51.36/33.97 tff(29591,plain,
% 51.36/33.97 (~m_processor_v_writable(c_p0, s8)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[12508, 29590])).
% 51.36/33.97 tff(29592,plain,
% 51.36/33.97 (~node67(s8)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[12500, 29591])).
% 51.36/33.97 tff(29593,plain,
% 51.36/33.97 (node67(s9)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[6554, 29592, 29589, 5669, 5670, 5668])).
% 51.36/33.97 tff(29594,plain,
% 51.36/33.97 (m_processor_v_writable(c_p0, s9)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[14729, 29593])).
% 51.36/33.97 tff(29595,plain,
% 51.36/33.97 (node56(c_p0, s9)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[14737, 29594])).
% 51.36/33.97 tff(29596,plain,
% 51.36/33.97 (m_processor_v_state(c_p0, s9, c_owned)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[14745, 29595])).
% 51.36/33.97 tff(29597,plain,
% 51.36/33.97 (m_main_v_CMD(s7, c_read_h_owned)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[24702, 29596, 14758, 3, 14621])).
% 51.36/33.97 tff(29598,plain,
% 51.36/33.97 (m_memory_v_CMD(c_m, s7, c_read_h_owned)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[15375, 29597])).
% 51.36/33.97 tff(29599,plain,
% 51.36/33.97 (~node25(c_m, s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[15386, 29598])).
% 51.36/33.97 tff(29600,plain,
% 51.36/33.97 (~node26(c_m, s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[15395, 29599, 29586])).
% 51.36/33.97 tff(29601,plain,
% 51.36/33.97 (m_memory_v_abort(c_m, s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[15403, 29600])).
% 51.36/33.97 tff(29602,plain,
% 51.36/33.97 (node18(c_m, s7, s8)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[15415, 29601])).
% 51.36/33.97 tff(29603,plain,
% 51.36/33.97 (~node30(c_m, s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[15461, 29598])).
% 51.36/33.97 tff(29604,plain,
% 51.36/33.97 (m_processor_v_abort(c_p0, s8)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[24920, 14760, 14759, 14758])).
% 51.36/33.97 tff(29605,plain,
% 51.36/33.97 (node32(c_p0, s8, s9)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[14811, 29604])).
% 51.36/33.97 tff(29606,plain,
% 51.36/33.97 (~m_processor_v_state(c_p0, s8, c_shared)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[14847, 29605, 14767])).
% 51.36/33.97 tff(29607,plain,
% 51.36/33.97 (~m_processor_v_state(c_p0, s8, c_invalid)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[14797, 29605, 14771])).
% 51.36/33.97 tff(29608,plain,
% 51.36/33.97 ($false),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[14550, 29607, 29606, 3, 14504])).
% 51.36/33.97 tff(29609,plain,((~node32(c_p0, s7, s8)) | m_processor_v_state(c_p0, s7, c_owned) | (~m_processor_v_state(c_p0, s9, c_owned)) | m_processor_v_waiting(c_p0, s9)), inference(lemma,lemma(discharge,[]))).
% 51.36/33.97 tff(29610,plain,
% 51.36/33.97 (~node32(c_p0, s7, s8)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[29609, 3, 29596, 14758])).
% 51.36/33.97 tff(29611,plain,
% 51.36/33.97 (~m_processor_v_abort(c_p0, s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[14492, 29610])).
% 51.36/33.97 tff(29612,plain,
% 51.36/33.97 (node60(c_p0, s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[15422, 29611])).
% 51.36/33.97 tff(29613,plain,
% 51.36/33.97 (~m_processor_v_REPLY_h_STALL(c_p0, s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[15430, 29612])).
% 51.36/33.97 tff(29614,plain,
% 51.36/33.97 (~m_main_v_REPLY_h_STALL(s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[15438, 29613])).
% 51.36/33.97 tff(29615,plain,
% 51.36/33.97 (node7(s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[15446, 29614])).
% 51.36/33.97 tff(29616,plain,
% 51.36/33.97 (~m_memory_v_reply_h_stall(c_m, s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[15454, 29615])).
% 51.36/33.97 tff(29617,plain,
% 51.36/33.97 (~m_memory_v_busy(c_m, s7)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[15470, 29616, 29603])).
% 51.36/33.97 tff(29618,plain,
% 51.36/33.97 (~m_memory_v_busy(c_m, s8)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[24889, 29617, 29602])).
% 51.36/33.97 tff(29619,plain,
% 51.36/33.97 (m_processor_v_writable(c_p1, s9)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[6259, 29593])).
% 51.36/33.97 tff(29620,plain,
% 51.36/33.97 (node56(c_p1, s9)),
% 51.36/33.97 inference(unit_resolution,[status(thm)],[6267, 29619])).
% 51.36/33.98 tff(29621,plain,
% 51.36/33.98 (m_processor_v_state(c_p1, s9, c_owned)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[6275, 29620])).
% 51.36/33.98 tff(29622,plain,
% 51.36/33.98 (~m_processor_v_state(c_p1, s9, c_shared)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[6286, 121, 29621])).
% 51.36/33.98 tff(29623,plain,
% 51.36/33.98 (~m_processor_v_state(c_p1, s9, c_invalid)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[6279, 137, 29621])).
% 51.36/33.98 tff(29624,plain,
% 51.36/33.98 (m_processor_v_state(c_p1, s8, c_owned)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[26081, 29582, 24694])).
% 51.36/33.98 tff(29625,plain,
% 51.36/33.98 (~m_processor_v_waiting(c_p1, s9)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[6546, 540, 29620])).
% 51.36/33.98 tff(29626,plain,
% 51.36/33.98 (~m_processor_v_state(c_p0, s7, c_invalid)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[16223, 29625, 14758, 29624, 3, 29623, 29596, 29622, 29582])).
% 51.36/33.98 tff(29627,plain,
% 51.36/33.98 (m_processor_v_state(c_p0, s7, c_shared)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[2473, 29626, 3])).
% 51.36/33.98 tff(29628,plain,
% 51.36/33.98 (~node62(c_p0, s7)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[14713, 1633, 29626])).
% 51.36/33.98 tff(29629,plain,
% 51.36/33.98 (m_processor_v_cmd(c_p0, s7, c_read_h_owned)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[14709, 29628, 29627])).
% 51.36/33.98 tff(29630,plain,
% 51.36/33.98 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p0, s7, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p0, s7, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_shared)))),
% 51.36/33.98 inference(rewrite,[status(thm)],[])).
% 51.36/33.98 tff(29631,plain,
% 51.36/33.98 (((~m_processor_v_cmd(c_p0, s7, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_owned))) <=> ((~m_processor_v_cmd(c_p0, s7, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_shared)))),
% 51.36/33.98 inference(rewrite,[status(thm)],[])).
% 51.36/33.98 tff(29632,plain,
% 51.36/33.98 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p0, s7, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p0, s7, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_shared))))),
% 51.36/33.98 inference(monotonicity,[status(thm)],[29631])).
% 51.36/33.98 tff(29633,plain,
% 51.36/33.98 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p0, s7, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p0, s7, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_shared)))),
% 51.36/33.98 inference(transitivity,[status(thm)],[29632, 29630])).
% 51.36/33.98 tff(29634,plain,
% 51.36/33.98 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | ((~m_processor_v_cmd(c_p0, s7, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_owned)))),
% 51.36/33.98 inference(quant_inst,[status(thm)],[])).
% 51.36/33.98 tff(29635,plain,
% 51.36/33.98 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_read_h_owned)))) | (~m_processor_v_cmd(c_p0, s7, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_shared))),
% 51.36/33.98 inference(modus_ponens,[status(thm)],[29634, 29633])).
% 51.36/33.98 tff(29636,plain,
% 51.36/33.98 (~m_processor_v_cmd(c_p0, s7, c_read_h_shared)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[29635, 4885, 29629])).
% 51.36/33.98 tff(29637,plain,
% 51.36/33.98 (~m_main_v_CMD(s7, c_read_h_shared)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[28642, 29636, 24696])).
% 51.36/33.98 tff(29638,plain,
% 51.36/33.98 (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[16214, 29637])).
% 51.36/33.98 tff(29639,plain,
% 51.36/33.98 (~node47(c_p0, s7)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[14662, 657, 29638])).
% 51.36/33.98 tff(29640,plain,
% 51.36/33.98 (m_processor_v_CMD(c_p0, s7, c_read_h_owned)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[14680, 29597])).
% 51.36/33.98 tff(29641,plain,
% 51.36/33.98 (m_processor_v_waiting(c_p0, s8)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[14670, 29611, 14621, 29640, 29639])).
% 51.36/33.98 tff(29642,plain,
% 51.36/33.98 (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[24495, 29641, 14758])).
% 51.36/33.98 tff(29643,plain,
% 51.36/33.98 (~node52(c_p0, s8, s9)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[15337, 29641, 14758])).
% 51.36/33.98 tff(29644,plain,
% 51.36/33.98 (~node46(c_p0, s8, s9)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[15499, 29641, 14758])).
% 51.36/33.98 tff(29645,plain,
% 51.36/33.98 (~m_processor_v_abort(c_p0, s8)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[15507, 29644])).
% 51.36/33.98 tff(29646,plain,
% 51.36/33.98 (~m_memory_v_cmd(c_m, s8, c_idle)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[16096, 29645, 29596, 29624, 29623, 29622, 29643, 29625, 29642, 14758])).
% 51.36/33.98 tff(29647,plain,
% 51.36/33.98 (node29(c_m, s8)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[15489, 29646])).
% 51.36/33.98 tff(29648,plain,
% 51.36/33.98 ($false),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[15481, 2072, 29647, 29618])).
% 51.36/33.98 tff(29649,plain,(m_processor_v_state(c_p0, s7, c_owned) | m_processor_v_waiting(c_p0, s9) | (~m_processor_v_master(c_p0, s7)) | node67(s5) | node67(s4) | node67(s6)), inference(lemma,lemma(discharge,[]))).
% 51.36/33.98 tff(29650,plain,
% 51.36/33.98 ($false),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[29649, 29581, 29580, 29576, 104, 29571, 683])).
% 51.36/33.98 tff(29651,plain,(m_processor_v_state(c_p0, s6, c_owned) | m_processor_v_state(c_p1, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.36/33.98 tff(29652,plain,
% 51.36/33.98 (m_processor_v_state(c_p0, s6, c_owned)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[29651, 53])).
% 51.36/33.98 tff(29653,plain,
% 51.36/33.98 (~node67(s7)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[19099, 29652, 29566, 53])).
% 51.36/33.98 tff(29654,plain,
% 51.36/33.98 (m_processor_v_waiting(c_p0, s9)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[29518, 55, 53])).
% 51.36/33.98 tff(29655,plain,
% 51.36/33.98 ($false),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[14756, 540, 26578, 29654])).
% 51.36/33.98 tff(29656,plain,(m_processor_v_master(c_p0, s7) | m_processor_v_state(c_p1, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.36/33.98 tff(29657,plain,
% 51.36/33.98 (m_processor_v_master(c_p0, s7)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[29656, 53])).
% 51.36/33.98 tff(29658,plain,
% 51.36/33.98 (m_processor_v_waiting(c_p0, s9)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[29649, 3, 29657, 104, 29571, 683])).
% 51.36/33.98 tff(29659,plain,
% 51.36/33.98 (node67(s7)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[13017, 5949, 5932, 53, 683])).
% 51.36/33.98 tff(29660,plain,
% 51.36/33.98 ($false),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[19099, 29659, 18161, 13435, 53])).
% 51.36/33.98 tff(29661,plain,(node67(s9) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_state(c_p1, s5, c_owned) | node67(s8)), inference(lemma,lemma(discharge,[]))).
% 51.36/33.98 tff(29662,plain,
% 51.36/33.98 (node67(s9)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[29661, 29592, 53, 29566])).
% 51.36/33.98 tff(29663,plain,
% 51.36/33.98 (m_processor_v_writable(c_p0, s9)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[14729, 29662])).
% 51.36/33.98 tff(29664,plain,
% 51.36/33.98 (node56(c_p0, s9)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[14737, 29663])).
% 51.36/33.98 tff(29665,plain,
% 51.36/33.98 ($false),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[14756, 540, 29664, 29658])).
% 51.36/33.98 tff(29666,plain,(m_processor_v_state(c_p0, s7, c_owned) | m_processor_v_state(c_p1, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.36/33.98 tff(29667,plain,
% 51.36/33.98 (m_processor_v_state(c_p0, s7, c_owned)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[29666, 53])).
% 51.36/33.98 tff(29668,plain,
% 51.36/33.98 (~m_processor_v_state(c_p1, s7, c_shared)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[13520, 29566])).
% 51.36/33.98 tff(29669,plain,
% 51.36/33.98 (~m_processor_v_master(c_p1, s6)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[25475, 18174, 673, 29572, 29668])).
% 51.36/33.98 tff(29670,plain,
% 51.36/33.98 (m_processor_v_cmd(c_p1, s6, c_idle)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[14156, 29669])).
% 51.36/33.98 tff(29671,plain,
% 51.36/33.98 (~m_processor_v_state(c_p1, s6, c_shared)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[19060, 29669, 29566])).
% 51.36/33.98 tff(29672,plain,
% 51.36/33.98 (~m_processor_v_state(c_p1, s6, c_invalid)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[13615, 29669, 29572, 29671])).
% 51.36/33.98 tff(29673,plain,
% 51.36/33.98 (~node32(c_p1, s5, s6)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[566, 29672, 53, 29671])).
% 51.36/33.98 tff(29674,plain,
% 51.36/33.98 (~m_processor_v_abort(c_p1, s5)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[250, 29673])).
% 51.36/33.98 tff(29675,plain,
% 51.36/33.98 (m_processor_v_CMD(c_p1, s5, c_read_h_owned)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[629, 29672, 53, 29671])).
% 51.36/33.98 tff(29676,plain,
% 51.36/33.98 (m_processor_v_master(c_p1, s5)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[13585, 29671, 53, 29669, 29566])).
% 51.36/33.98 tff(29677,plain,
% 51.36/33.98 (node34(c_p1, s5, s6)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[617, 29672, 53, 29671])).
% 51.36/33.98 tff(29678,plain,
% 51.36/33.98 (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[422, 416, 29671, 29677])).
% 51.36/33.98 tff(29679,plain,
% 51.36/33.98 (~node47(c_p1, s5)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[662, 29678])).
% 51.36/33.98 tff(29680,plain,
% 51.36/33.98 (m_processor_v_waiting(c_p1, s6)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[647, 29679, 29676, 29675, 29674])).
% 51.36/33.98 tff(29681,assumption,(node46(c_p1, s6, s7)), introduced(assumption)).
% 51.36/33.98 tff(29682,plain,
% 51.36/33.98 ($false),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18747, 11708, 18174, 533, 29681])).
% 51.36/33.98 tff(29683,plain,((~node46(c_p1, s6, s7)) | m_processor_v_waiting(c_p1, s7) | (~m_processor_v_waiting(c_p1, s6))), inference(lemma,lemma(discharge,[]))).
% 51.36/33.98 tff(29684,plain,
% 51.36/33.98 (~node46(c_p1, s6, s7)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[29683, 29680, 18174])).
% 51.36/33.98 tff(29685,plain,
% 51.36/33.98 (~m_processor_v_abort(c_p1, s6)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18740, 29684])).
% 51.36/33.98 tff(29686,plain,
% 51.36/33.98 (node60(c_p1, s6)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18324, 29685])).
% 51.36/33.98 tff(29687,plain,
% 51.36/33.98 (~m_processor_v_REPLY_h_STALL(c_p1, s6)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18350, 29686])).
% 51.36/33.98 tff(29688,plain,
% 51.36/33.98 (~m_main_v_REPLY_h_STALL(s6)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18356, 29687])).
% 51.36/33.98 tff(29689,plain,
% 51.36/33.98 (~m_processor_v_REPLY_h_STALL(c_p0, s6)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18362, 29688])).
% 51.36/33.98 tff(29690,plain,
% 51.36/33.98 ((~m_processor_v_waiting(c_p1, s6)) | m_processor_v_reply_h_waiting(c_p1, s6)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[14167, 2296, 29669])).
% 51.36/33.98 tff(29691,plain,
% 51.36/33.98 (m_processor_v_reply_h_waiting(c_p1, s6)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[29690, 29680])).
% 51.36/33.98 tff(29692,plain,
% 51.36/33.98 (~node6(s6)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[14176, 29691])).
% 51.36/33.98 tff(29693,plain,
% 51.36/33.98 (m_main_v_REPLY_h_WAITING(s6)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[14184, 29692])).
% 51.36/33.98 tff(29694,plain,
% 51.36/33.98 (m_processor_v_REPLY_h_WAITING(c_p1, s6)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18192, 29693])).
% 51.36/33.98 tff(29695,plain,
% 51.36/33.98 (node59(c_p1, s6)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18335, 29694, 29686])).
% 51.36/33.98 tff(29696,plain,
% 51.36/33.98 (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18342, 29695])).
% 51.36/33.98 tff(29697,plain,
% 51.36/33.98 (~m_main_v_CMD(s6, c_read_h_owned)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[16254, 29696])).
% 51.36/33.98 tff(29698,plain,
% 51.36/33.98 (~m_processor_v_CMD(c_p0, s6, c_read_h_owned)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[16241, 29697])).
% 51.36/33.98 tff(29699,plain,
% 51.36/33.98 (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18369, 29695])).
% 51.36/33.98 tff(29700,plain,
% 51.36/33.98 (~m_main_v_CMD(s6, c_read_h_shared)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18379, 29699])).
% 51.36/33.98 tff(29701,plain,
% 51.36/33.98 (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18385, 29700])).
% 51.36/33.98 tff(29702,plain,
% 51.36/33.98 (~m_processor_v_state(c_p0, s6, c_shared)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[809, 29652])).
% 51.36/33.98 tff(29703,plain,
% 51.36/33.98 (~m_processor_v_state(c_p0, s6, c_invalid)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[1035, 137, 29652])).
% 51.36/33.98 tff(29704,plain,
% 51.36/33.98 (~m_processor_v_master(c_p0, s5)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[797, 794, 29676])).
% 51.36/33.98 tff(29705,plain,
% 51.36/33.98 (m_processor_v_reply_h_owned(c_p0, s5)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18204, 29704, 29703, 29702])).
% 51.36/33.98 tff(29706,plain,
% 51.36/33.98 (~node5(s5)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18212, 29705])).
% 51.36/33.98 tff(29707,plain,
% 51.36/33.98 (m_main_v_REPLY_h_OWNED(s5)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18220, 29706])).
% 51.36/33.98 tff(29708,plain,
% 51.36/33.98 (m_memory_v_REPLY_h_OWNED(c_m, s5)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18228, 29707])).
% 51.36/33.98 tff(29709,plain,
% 51.36/33.98 (node60(c_p1, s5)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[698, 29674])).
% 51.36/33.98 tff(29710,plain,
% 51.36/33.98 (~m_processor_v_REPLY_h_STALL(c_p1, s5)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[13790, 29709])).
% 51.36/33.98 tff(29711,plain,
% 51.36/33.98 (~m_main_v_REPLY_h_STALL(s5)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[13797, 29710])).
% 51.36/33.98 tff(29712,plain,
% 51.36/33.98 (node7(s5)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[7305, 29711])).
% 51.36/33.98 tff(29713,plain,
% 51.36/33.98 (~m_memory_v_reply_h_stall(c_m, s5)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[7313, 29712])).
% 51.36/33.98 tff(29714,plain,
% 51.36/33.98 (m_main_v_CMD(s5, c_read_h_owned)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[13623, 1260, 29675, 13607])).
% 51.36/33.98 tff(29715,plain,
% 51.36/33.98 (m_memory_v_CMD(c_m, s5, c_read_h_owned)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18233, 4207, 29714, 6954])).
% 51.36/33.98 tff(29716,plain,
% 51.36/33.98 (~node30(c_m, s5)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18278, 29715])).
% 51.36/33.98 tff(29717,plain,
% 51.36/33.98 (~m_memory_v_busy(c_m, s5)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[7322, 29716, 29713])).
% 51.36/33.98 tff(29718,plain,
% 51.36/33.98 (~m_memory_v_busy(c_m, s6)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[29393, 29717, 29708])).
% 51.36/33.98 tff(29719,plain,
% 51.36/33.98 (~node29(c_m, s6)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18296, 29718])).
% 51.36/33.98 tff(29720,plain,
% 51.36/33.98 (m_memory_v_cmd(c_m, s6, c_idle)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[14285, 29719])).
% 51.36/33.98 tff(29721,plain,
% 51.36/33.98 (~node48(c_p1, s6)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18311, 11562, 29669])).
% 51.36/33.98 tff(29722,plain,
% 51.36/33.98 (~node47(c_p1, s6)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18315, 12108, 29669])).
% 51.36/33.98 tff(29723,plain,
% 51.36/33.98 (~node52(c_p1, s6, s7)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18307, 29680, 18174])).
% 51.36/33.98 tff(29724,plain,
% 51.36/33.98 (~node59(c_p1, s5)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[710, 707, 29675])).
% 51.36/33.98 tff(29725,plain,
% 51.36/33.98 (~m_processor_v_REPLY_h_WAITING(c_p1, s5)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[732, 29724, 29709])).
% 51.36/33.98 tff(29726,plain,
% 51.36/33.98 (~m_main_v_REPLY_h_WAITING(s5)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[750, 29725])).
% 51.36/33.98 tff(29727,plain,
% 51.36/33.98 (node6(s5)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[765, 29726])).
% 51.36/33.98 tff(29728,plain,
% 51.36/33.98 (~m_processor_v_reply_h_waiting(c_p0, s5)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[783, 29727])).
% 51.36/33.98 tff(29729,plain,
% 51.36/33.98 (~m_processor_v_waiting(c_p0, s5)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[2302, 2296, 29704, 29728])).
% 51.36/33.98 tff(29730,plain,
% 51.36/33.98 (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[25034, 7953, 29714])).
% 51.36/33.98 tff(29731,plain,
% 51.36/33.98 (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[29455, 29730])).
% 51.36/33.98 tff(29732,plain,
% 51.36/33.98 (~node50(c_p0, s5)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[25048, 29731])).
% 51.36/33.98 tff(29733,plain,
% 51.36/33.98 (~node47(c_p0, s5)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[25030, 12108, 29704])).
% 51.36/33.98 tff(29734,plain,
% 51.36/33.98 (~node48(c_p0, s5)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[25026, 11562, 29704])).
% 51.36/33.98 tff(29735,plain,
% 51.36/33.98 (~m_processor_v_abort(c_p0, s5)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18089, 29709])).
% 51.36/33.98 tff(29736,plain,
% 51.36/33.98 (~m_main_v_CMD(s5, c_response)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[13676, 12316, 29714])).
% 51.36/33.98 tff(29737,plain,
% 51.36/33.98 (~m_processor_v_CMD(c_p0, s5, c_response)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[25056, 1612, 13841, 29736])).
% 51.36/33.98 tff(29738,plain,
% 51.36/33.98 (~node49(c_p0, s5)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[25060, 11579, 29737])).
% 51.36/33.98 tff(29739,plain,
% 51.36/33.98 (~m_main_v_CMD(s5, c_write_h_resp_h_shared)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[25010, 7940, 29714])).
% 51.36/33.98 tff(29740,plain,
% 51.36/33.98 (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[25017, 1612, 29739, 13841])).
% 51.36/33.98 tff(29741,plain,
% 51.36/33.98 (~node51(c_p0, s5)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[25021, 11549, 29740])).
% 51.36/33.98 tff(29742,plain,
% 51.36/33.98 (node52(c_p0, s5, s6)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[25072, 29741, 29738, 29735, 29734, 29733, 29732])).
% 51.36/33.98 tff(29743,plain,
% 51.36/33.98 (~m_processor_v_waiting(c_p0, s6)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[25080, 29742, 29729])).
% 51.36/33.98 tff(29744,plain,
% 51.36/33.98 (node59(c_p1, s6)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18335, 18318, 18325])).
% 51.36/33.98 tff(29745,plain,
% 51.36/33.98 (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18369, 29744])).
% 51.36/33.98 tff(29746,plain,
% 51.36/33.98 (~m_main_v_CMD(s6, c_read_h_shared)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18379, 29745])).
% 51.36/33.98 tff(29747,plain,
% 51.36/33.98 (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18385, 29746])).
% 51.36/33.98 tff(29748,plain,
% 51.36/33.98 (~node47(c_p0, s6)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[2568, 657, 29747])).
% 51.36/33.98 tff(29749,plain,
% 51.36/33.98 (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18342, 29744])).
% 51.36/33.98 tff(29750,plain,
% 51.36/33.98 (~m_main_v_CMD(s6, c_read_h_owned)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[16254, 29749])).
% 51.36/33.98 tff(29751,plain,
% 51.36/33.98 (~m_processor_v_CMD(c_p0, s6, c_read_h_owned)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[16241, 29750])).
% 51.36/33.98 tff(29752,plain,
% 51.36/33.98 (~node48(c_p0, s6)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[25099, 29751])).
% 51.36/33.98 tff(29753,plain,
% 51.36/33.98 (~node61(c_p0, s6)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18395, 29751, 29747])).
% 51.36/33.98 tff(29754,plain,
% 51.36/33.98 (~m_processor_v_abort(c_p0, s6)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18403, 29753, 18363])).
% 51.36/33.98 tff(29755,plain,
% 51.36/33.98 (node37(c_p0, s6, s7)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[2424, 2318, 29754, 810, 25895])).
% 51.36/33.98 tff(29756,plain,
% 51.36/33.98 (m_processor_v_state(c_p0, s7, c_invalid)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[18735, 25916, 14207, 18699, 18698, 18317, 785, 13406, 18697, 18318, 2541])).
% 51.36/33.98 tff(29757,plain,
% 51.36/33.98 ($false),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[25922, 29756, 29755, 18194])).
% 51.36/33.98 tff(29758,plain,(m_processor_v_master(c_p0, s6) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | node47(c_p1, s6) | node48(c_p1, s6) | (~m_memory_v_cmd(c_m, s6, c_idle)) | (~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_abort(c_p1, s6) | node52(c_p1, s6, s7) | (~m_processor_v_REPLY_h_WAITING(c_p1, s6)) | m_processor_v_waiting(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 51.36/33.98 tff(29759,plain,
% 51.36/33.98 (m_processor_v_waiting(c_p0, s7)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[29758, 2318, 18699, 18698, 18317, 785, 13406, 18697, 18318, 14207])).
% 51.36/33.98 tff(29760,plain,
% 51.36/33.98 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~node53(I0, X, Y)) | (~m_processor_v_CMD(I0, X, c_response)))) | (m_processor_v_master(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node48(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_response)) | (~m_processor_v_waiting(c_p0, s7)) | (~node53(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~node53(I0, X, Y)) | (~m_processor_v_CMD(I0, X, c_response)))) | m_processor_v_master(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node48(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_response)) | (~m_processor_v_waiting(c_p0, s7)) | (~node53(c_p0, s6, s7)))),
% 51.36/33.98 inference(rewrite,[status(thm)],[])).
% 51.36/33.98 tff(29761,plain,
% 51.36/33.98 ((m_processor_v_master(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_waiting(c_p0, s7)) | node48(c_p0, s6) | (~node53(c_p0, s6, s7)) | (~m_processor_v_CMD(c_p0, s6, c_response))) <=> (m_processor_v_master(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node48(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_response)) | (~m_processor_v_waiting(c_p0, s7)) | (~node53(c_p0, s6, s7)))),
% 51.36/33.98 inference(rewrite,[status(thm)],[])).
% 51.36/33.98 tff(29762,plain,
% 51.36/33.98 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~node53(I0, X, Y)) | (~m_processor_v_CMD(I0, X, c_response)))) | (m_processor_v_master(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_waiting(c_p0, s7)) | node48(c_p0, s6) | (~node53(c_p0, s6, s7)) | (~m_processor_v_CMD(c_p0, s6, c_response)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~node53(I0, X, Y)) | (~m_processor_v_CMD(I0, X, c_response)))) | (m_processor_v_master(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node48(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_response)) | (~m_processor_v_waiting(c_p0, s7)) | (~node53(c_p0, s6, s7))))),
% 51.36/33.98 inference(monotonicity,[status(thm)],[29761])).
% 51.36/33.98 tff(29763,plain,
% 51.36/33.98 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~node53(I0, X, Y)) | (~m_processor_v_CMD(I0, X, c_response)))) | (m_processor_v_master(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_waiting(c_p0, s7)) | node48(c_p0, s6) | (~node53(c_p0, s6, s7)) | (~m_processor_v_CMD(c_p0, s6, c_response)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~node53(I0, X, Y)) | (~m_processor_v_CMD(I0, X, c_response)))) | m_processor_v_master(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node48(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_response)) | (~m_processor_v_waiting(c_p0, s7)) | (~node53(c_p0, s6, s7)))),
% 51.36/33.98 inference(transitivity,[status(thm)],[29762, 29760])).
% 51.36/33.98 tff(29764,plain,
% 51.36/33.98 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~node53(I0, X, Y)) | (~m_processor_v_CMD(I0, X, c_response)))) | (m_processor_v_master(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_waiting(c_p0, s7)) | node48(c_p0, s6) | (~node53(c_p0, s6, s7)) | (~m_processor_v_CMD(c_p0, s6, c_response)))),
% 51.36/33.98 inference(quant_inst,[status(thm)],[])).
% 51.36/33.98 tff(29765,plain,
% 51.36/33.98 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | (~node53(I0, X, Y)) | (~m_processor_v_CMD(I0, X, c_response)))) | m_processor_v_master(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node48(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_response)) | (~m_processor_v_waiting(c_p0, s7)) | (~node53(c_p0, s6, s7))),
% 51.36/33.98 inference(modus_ponens,[status(thm)],[29764, 29763])).
% 51.36/33.98 tff(29766,plain,
% 51.36/33.98 (m_processor_v_master(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node48(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_response)) | (~m_processor_v_waiting(c_p0, s7))),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[29765, 22350, 2549])).
% 51.36/33.98 tff(29767,plain,
% 51.36/33.98 (~m_processor_v_CMD(c_p0, s6, c_response)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[29766, 29759, 2318, 29754, 29748, 29752])).
% 51.36/33.98 tff(29768,plain,
% 51.36/33.98 (~node49(c_p0, s6)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[25165, 29767])).
% 51.36/33.98 tff(29769,plain,
% 51.36/33.98 (^[Y: $i, I0: $i, X: $i] : refl((m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | (~node53(I0, X, Y))) <=> (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | (~node53(I0, X, Y))))),
% 51.36/33.98 inference(bind,[status(th)],[])).
% 51.36/33.98 tff(29770,plain,
% 51.36/33.98 (![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | (~node53(I0, X, Y)))),
% 51.36/33.98 inference(quant_intro,[status(thm)],[29769])).
% 51.36/33.98 tff(29771,plain,
% 51.36/33.98 (![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | (~node53(I0, X, Y)))),
% 51.36/33.98 inference(rewrite,[status(thm)],[])).
% 51.36/33.98 tff(29772,plain,
% 51.36/33.98 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X))), ((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) <=> ((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X)) | node49(I0, X)))), rewrite(((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X)) | node49(I0, X)) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X))), ((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X)))), (((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | m_processor_v_master(I0, X)) <=> ((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X)) | m_processor_v_master(I0, X)))), rewrite(((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X)) | m_processor_v_master(I0, X)) <=> (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X))), (((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | m_processor_v_master(I0, X)) <=> (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X)))), ((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) <=> ((m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))))), rewrite(((m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) <=> (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X))), ((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) <=> (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X)))), (((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | (~m_processor_v_waiting(I0, Y))) <=> ((m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X)) | (~m_processor_v_waiting(I0, Y))))), rewrite(((m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X)) | (~m_processor_v_waiting(I0, Y))) <=> (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X))), (((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | (~m_processor_v_waiting(I0, Y))) <=> (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X)))), ((((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | (~m_processor_v_waiting(I0, Y))) | (~node53(I0, X, Y))) <=> ((m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X)) | (~node53(I0, X, Y))))), rewrite(((m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X)) | (~node53(I0, X, Y))) <=> (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | (~node53(I0, X, Y)))), ((((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | (~m_processor_v_waiting(I0, Y))) | (~node53(I0, X, Y))) <=> (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | (~node53(I0, X, Y)))))),
% 51.36/33.98 inference(bind,[status(th)],[])).
% 51.36/33.98 tff(29773,plain,
% 51.36/33.98 (![Y: $i, I0: $i, X: $i] : (((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | (~m_processor_v_waiting(I0, Y))) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | (~node53(I0, X, Y)))),
% 51.36/33.98 inference(quant_intro,[status(thm)],[29772])).
% 51.36/33.98 tff(29774,axiom,(![Y: $i, I0: $i, X: $i] : (((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid))) | (~m_processor_v_waiting(I0, Y))) | (~node53(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_112')).
% 51.36/33.98 tff(29775,plain,
% 51.36/33.98 (![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | (~node53(I0, X, Y)))),
% 51.36/33.98 inference(modus_ponens,[status(thm)],[29774, 29773])).
% 51.36/33.98 tff(29776,plain,
% 51.36/33.98 (![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | (~node53(I0, X, Y)))),
% 51.36/33.98 inference(modus_ponens,[status(thm)],[29775, 29771])).
% 51.36/33.98 tff(29777,plain,(
% 51.36/33.98 ![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | (~node53(I0, X, Y)))),
% 51.36/33.98 inference(skolemize,[status(sab)],[29776])).
% 51.36/33.98 tff(29778,plain,
% 51.36/33.98 (![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | (~node53(I0, X, Y)))),
% 51.36/33.98 inference(modus_ponens,[status(thm)],[29777, 29770])).
% 51.36/33.98 tff(29779,plain,
% 51.36/33.98 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_master(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node49(c_p0, s6) | node48(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)) | (~m_processor_v_waiting(c_p0, s7)) | (~node53(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | (~node53(I0, X, Y)))) | m_processor_v_master(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node49(c_p0, s6) | node48(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)) | (~m_processor_v_waiting(c_p0, s7)) | (~node53(c_p0, s6, s7)))),
% 51.36/33.98 inference(rewrite,[status(thm)],[])).
% 51.36/33.98 tff(29780,plain,
% 51.36/33.98 ((m_processor_v_master(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_waiting(c_p0, s7)) | node48(c_p0, s6) | node49(c_p0, s6) | (~node53(c_p0, s6, s7))) <=> (m_processor_v_master(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node49(c_p0, s6) | node48(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)) | (~m_processor_v_waiting(c_p0, s7)) | (~node53(c_p0, s6, s7)))),
% 51.36/33.98 inference(rewrite,[status(thm)],[])).
% 51.36/33.98 tff(29781,plain,
% 51.36/33.98 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_master(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_waiting(c_p0, s7)) | node48(c_p0, s6) | node49(c_p0, s6) | (~node53(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_master(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node49(c_p0, s6) | node48(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)) | (~m_processor_v_waiting(c_p0, s7)) | (~node53(c_p0, s6, s7))))),
% 51.36/33.98 inference(monotonicity,[status(thm)],[29780])).
% 51.36/33.98 tff(29782,plain,
% 51.36/33.98 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_master(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_waiting(c_p0, s7)) | node48(c_p0, s6) | node49(c_p0, s6) | (~node53(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | (~node53(I0, X, Y)))) | m_processor_v_master(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node49(c_p0, s6) | node48(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)) | (~m_processor_v_waiting(c_p0, s7)) | (~node53(c_p0, s6, s7)))),
% 51.36/33.98 inference(transitivity,[status(thm)],[29781, 29779])).
% 51.36/33.98 tff(29783,plain,
% 51.36/33.98 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_master(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)) | m_processor_v_abort(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_waiting(c_p0, s7)) | node48(c_p0, s6) | node49(c_p0, s6) | (~node53(c_p0, s6, s7)))),
% 51.36/33.98 inference(quant_inst,[status(thm)],[])).
% 51.36/33.98 tff(29784,plain,
% 51.36/33.98 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | (~node53(I0, X, Y)))) | m_processor_v_master(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node49(c_p0, s6) | node48(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)) | (~m_processor_v_waiting(c_p0, s7)) | (~node53(c_p0, s6, s7))),
% 51.36/33.98 inference(modus_ponens,[status(thm)],[29783, 29782])).
% 51.36/33.98 tff(29785,plain,
% 51.36/33.98 (m_processor_v_master(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node49(c_p0, s6) | node48(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)) | (~m_processor_v_waiting(c_p0, s7))),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[29784, 29778, 2549])).
% 51.36/33.98 tff(29786,plain,
% 51.36/33.98 (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[29785, 29768, 2318, 29754, 29759, 29752, 29748])).
% 51.36/33.98 tff(29787,plain,
% 51.36/33.98 (~node50(c_p0, s6)),
% 51.36/33.98 inference(unit_resolution,[status(thm)],[25145, 29786])).
% 51.36/33.98 tff(29788,plain,
% 51.36/33.98 (^[Y: $i, I0: $i, X: $i] : refl((m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | node50(I0, X) | (~node53(I0, X, Y))) <=> (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | node50(I0, X) | (~node53(I0, X, Y))))),
% 51.36/33.99 inference(bind,[status(th)],[])).
% 51.36/33.99 tff(29789,plain,
% 51.36/33.99 (![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | node50(I0, X) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | node50(I0, X) | (~node53(I0, X, Y)))),
% 51.36/33.99 inference(quant_intro,[status(thm)],[29788])).
% 51.36/33.99 tff(29790,plain,
% 51.36/33.99 (![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | node50(I0, X) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | node50(I0, X) | (~node53(I0, X, Y)))),
% 51.36/33.99 inference(rewrite,[status(thm)],[])).
% 51.36/33.99 tff(29791,plain,
% 51.36/33.99 (^[Y: $i, I0: $i, X: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X))), ((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) <=> ((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X)) | node49(I0, X)))), rewrite(((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X)) | node49(I0, X)) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X))), ((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X)))), (((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) <=> ((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X)) | node50(I0, X)))), rewrite(((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X)) | node50(I0, X)) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X))), (((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) <=> (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X)))), ((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) | m_processor_v_master(I0, X)) <=> ((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X)) | m_processor_v_master(I0, X)))), rewrite(((m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X)) | m_processor_v_master(I0, X)) <=> (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X))), ((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) | m_processor_v_master(I0, X)) <=> (m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X)))), (((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) <=> ((m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))))), rewrite(((m_processor_v_master(I0, X) | m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) <=> (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X))), (((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) <=> (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X)))), ((((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (~m_processor_v_waiting(I0, Y))) <=> ((m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X)) | (~m_processor_v_waiting(I0, Y))))), rewrite(((m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X)) | (~m_processor_v_waiting(I0, Y))) <=> (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | node50(I0, X))), ((((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (~m_processor_v_waiting(I0, Y))) <=> (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | node50(I0, X)))), (((((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (~m_processor_v_waiting(I0, Y))) | (~node53(I0, X, Y))) <=> ((m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | node50(I0, X)) | (~node53(I0, X, Y))))), rewrite(((m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | node50(I0, X)) | (~node53(I0, X, Y))) <=> (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | node50(I0, X) | (~node53(I0, X, Y)))), (((((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (~m_processor_v_waiting(I0, Y))) | (~node53(I0, X, Y))) <=> (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | node50(I0, X) | (~node53(I0, X, Y)))))),
% 51.36/33.99 inference(bind,[status(th)],[])).
% 51.36/33.99 tff(29792,plain,
% 51.36/33.99 (![Y: $i, I0: $i, X: $i] : ((((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (~m_processor_v_waiting(I0, Y))) | (~node53(I0, X, Y))) <=> ![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | node50(I0, X) | (~node53(I0, X, Y)))),
% 51.36/33.99 inference(quant_intro,[status(thm)],[29791])).
% 51.36/33.99 tff(29793,axiom,(![Y: $i, I0: $i, X: $i] : ((((((((m_processor_v_abort(I0, X) | node47(I0, X)) | node48(I0, X)) | node49(I0, X)) | node50(I0, X)) | m_processor_v_master(I0, X)) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared))) | (~m_processor_v_waiting(I0, Y))) | (~node53(I0, X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_processor_113')).
% 51.36/33.99 tff(29794,plain,
% 51.36/33.99 (![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | node50(I0, X) | (~node53(I0, X, Y)))),
% 51.36/33.99 inference(modus_ponens,[status(thm)],[29793, 29792])).
% 51.36/33.99 tff(29795,plain,
% 51.36/33.99 (![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | node50(I0, X) | (~node53(I0, X, Y)))),
% 51.36/33.99 inference(modus_ponens,[status(thm)],[29794, 29790])).
% 51.36/33.99 tff(29796,plain,(
% 51.36/33.99 ![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | node50(I0, X) | (~node53(I0, X, Y)))),
% 51.36/33.99 inference(skolemize,[status(sab)],[29795])).
% 51.36/33.99 tff(29797,plain,
% 51.36/33.99 (![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | node50(I0, X) | (~node53(I0, X, Y)))),
% 51.36/33.99 inference(modus_ponens,[status(thm)],[29796, 29789])).
% 51.36/33.99 tff(29798,plain,
% 51.36/33.99 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | node50(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_master(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node50(c_p0, s6) | node49(c_p0, s6) | node48(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_waiting(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)) | (~node53(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | node50(I0, X) | (~node53(I0, X, Y)))) | m_processor_v_master(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node50(c_p0, s6) | node49(c_p0, s6) | node48(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_waiting(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)) | (~node53(c_p0, s6, s7)))),
% 51.36/33.99 inference(rewrite,[status(thm)],[])).
% 51.36/33.99 tff(29799,plain,
% 51.36/33.99 ((m_processor_v_master(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_waiting(c_p0, s7)) | node48(c_p0, s6) | node49(c_p0, s6) | node50(c_p0, s6) | (~node53(c_p0, s6, s7))) <=> (m_processor_v_master(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node50(c_p0, s6) | node49(c_p0, s6) | node48(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_waiting(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)) | (~node53(c_p0, s6, s7)))),
% 51.36/33.99 inference(rewrite,[status(thm)],[])).
% 51.36/33.99 tff(29800,plain,
% 51.36/33.99 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | node50(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_master(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_waiting(c_p0, s7)) | node48(c_p0, s6) | node49(c_p0, s6) | node50(c_p0, s6) | (~node53(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | node50(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_master(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node50(c_p0, s6) | node49(c_p0, s6) | node48(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_waiting(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)) | (~node53(c_p0, s6, s7))))),
% 51.36/33.99 inference(monotonicity,[status(thm)],[29799])).
% 51.36/33.99 tff(29801,plain,
% 51.36/33.99 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | node50(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_master(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_waiting(c_p0, s7)) | node48(c_p0, s6) | node49(c_p0, s6) | node50(c_p0, s6) | (~node53(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | node50(I0, X) | (~node53(I0, X, Y)))) | m_processor_v_master(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node50(c_p0, s6) | node49(c_p0, s6) | node48(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_waiting(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)) | (~node53(c_p0, s6, s7)))),
% 51.36/33.99 inference(transitivity,[status(thm)],[29800, 29798])).
% 51.36/33.99 tff(29802,plain,
% 51.36/33.99 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | node50(I0, X) | (~node53(I0, X, Y)))) | (m_processor_v_master(c_p0, s6) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)) | m_processor_v_abort(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_waiting(c_p0, s7)) | node48(c_p0, s6) | node49(c_p0, s6) | node50(c_p0, s6) | (~node53(c_p0, s6, s7)))),
% 51.36/33.99 inference(quant_inst,[status(thm)],[])).
% 51.36/33.99 tff(29803,plain,
% 51.36/33.99 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_CMD(I0, X, c_write_h_resp_h_shared)) | m_processor_v_abort(I0, X) | node47(I0, X) | (~m_processor_v_waiting(I0, Y)) | node48(I0, X) | node49(I0, X) | node50(I0, X) | (~node53(I0, X, Y)))) | m_processor_v_master(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node50(c_p0, s6) | node49(c_p0, s6) | node48(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_waiting(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)) | (~node53(c_p0, s6, s7))),
% 51.36/33.99 inference(modus_ponens,[status(thm)],[29802, 29801])).
% 51.36/33.99 tff(29804,plain,
% 51.36/33.99 (m_processor_v_master(c_p0, s6) | m_processor_v_abort(c_p0, s6) | node50(c_p0, s6) | node49(c_p0, s6) | node48(c_p0, s6) | node47(c_p0, s6) | (~m_processor_v_waiting(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared))),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[29803, 29797, 2549])).
% 51.36/33.99 tff(29805,plain,
% 51.36/33.99 (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[29804, 29787, 2318, 29759, 29754, 29768, 29752, 29748])).
% 51.36/33.99 tff(29806,plain,
% 51.36/33.99 (~node52(c_p0, s6, s7)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[25198, 29759, 2])).
% 51.36/33.99 tff(29807,plain,
% 51.36/33.99 (node51(c_p0, s6)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[25191, 29787, 29752, 29754, 29748, 29806, 29768])).
% 51.36/33.99 tff(29808,plain,
% 51.36/33.99 ($false),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[25183, 29807, 29805])).
% 51.36/33.99 tff(29809,plain,(m_processor_v_master(c_p0, s6) | m_processor_v_waiting(c_p0, s6) | node47(c_p1, s6) | node48(c_p1, s6) | (~m_memory_v_cmd(c_m, s6, c_idle)) | (~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_abort(c_p1, s6) | node52(c_p1, s6, s7) | (~m_processor_v_REPLY_h_WAITING(c_p1, s6)) | (~m_processor_v_cmd(c_p1, s6, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.36/33.99 tff(29810,plain,
% 51.36/33.99 (m_processor_v_master(c_p0, s6)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[29809, 29743, 29723, 29722, 29685, 29652, 29694, 29721, 29720, 29670])).
% 51.36/33.99 tff(29811,plain,
% 51.36/33.99 ($false),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[25131, 2317, 2325, 29810, 29701, 29698, 29652, 29689, 29670])).
% 51.36/33.99 tff(29812,plain,(m_processor_v_waiting(c_p1, s7) | (~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_state(c_p1, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.36/33.99 tff(29813,plain,
% 51.36/33.99 (m_processor_v_waiting(c_p1, s7)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[29812, 29667, 53])).
% 51.36/33.99 tff(29814,plain,
% 51.36/33.99 (m_processor_v_master(c_p0, s7)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[29518, 14758, 53])).
% 51.36/33.99 tff(29815,plain,
% 51.36/33.99 (~m_processor_v_master(c_p1, s7)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[13229, 794, 29814])).
% 51.36/33.99 tff(29816,plain,
% 51.36/33.99 (m_processor_v_state(c_p1, s7, c_owned)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[26782, 29815, 104, 683, 29254])).
% 51.36/33.99 tff(29817,plain,
% 51.36/33.99 (~node56(c_p0, s8)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[14413, 14408])).
% 51.36/33.99 tff(29818,plain,
% 51.36/33.99 (~m_processor_v_writable(c_p0, s8)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[12508, 29817])).
% 51.36/33.99 tff(29819,plain,
% 51.36/33.99 (~node67(s8)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[12500, 29818])).
% 51.36/33.99 tff(29820,plain,
% 51.36/33.99 (m_processor_v_state(c_p1, s7, c_owned)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[12515, 18169])).
% 51.36/33.99 tff(29821,plain,
% 51.36/33.99 (m_processor_v_master(c_p1, s7)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[26081, 29820, 5672])).
% 51.36/33.99 tff(29822,plain,
% 51.36/33.99 (~m_processor_v_master(c_p0, s7)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[13229, 794, 29821])).
% 51.36/33.99 tff(29823,plain,
% 51.36/33.99 ($false),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[18124, 18166, 18167, 14408, 29822])).
% 51.36/33.99 tff(29824,plain,((~node67(s7)) | m_processor_v_state(c_p0, s8, c_owned) | m_processor_v_state(c_p1, s8, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.36/33.99 tff(29825,plain,
% 51.36/33.99 (~node67(s7)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[29824, 5672, 14408])).
% 51.36/33.99 tff(29826,plain,
% 51.36/33.99 ($false),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[6548, 29825, 5672, 5670, 5669, 5668, 5671])).
% 51.36/33.99 tff(29827,plain,(m_processor_v_state(c_p1, s8, c_owned) | node67(s4) | node67(s5) | node67(s6) | node67(s3) | m_processor_v_state(c_p0, s8, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.36/33.99 tff(29828,plain,
% 51.36/33.99 (m_processor_v_state(c_p1, s8, c_owned) | node67(s4) | node67(s5) | node67(s6) | m_processor_v_state(c_p0, s8, c_owned)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[29827, 5666])).
% 51.36/33.99 tff(29829,plain,
% 51.36/33.99 (m_processor_v_state(c_p1, s8, c_owned)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[29828, 14408, 5670, 5669, 5668])).
% 51.36/33.99 tff(29830,plain,
% 51.36/33.99 (m_processor_v_state(c_p1, s7, c_owned)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[13152, 29829, 13051])).
% 51.36/33.99 tff(29831,plain,
% 51.36/33.99 (~m_processor_v_state(c_p1, s7, c_shared)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[13520, 29830])).
% 51.36/33.99 tff(29832,plain,
% 51.36/33.99 (m_processor_v_master(c_p1, s6)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[19060, 29830, 114])).
% 51.36/33.99 tff(29833,plain,
% 51.36/33.99 (~node32(c_p1, s6, s7)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[13531, 29831, 114])).
% 51.36/33.99 tff(29834,plain,
% 51.36/33.99 (~m_processor_v_abort(c_p1, s6)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[13472, 29833])).
% 51.36/33.99 tff(29835,plain,
% 51.36/33.99 (node34(c_p1, s6, s7)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[25524, 29834, 29832])).
% 51.36/33.99 tff(29836,plain,
% 51.36/33.99 (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[25514, 29835, 29831])).
% 51.36/33.99 tff(29837,plain,
% 51.36/33.99 (~node47(c_p1, s6)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[19020, 29836])).
% 51.36/33.99 tff(29838,plain,
% 51.36/33.99 (~node62(c_p1, s6)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[18858, 16741])).
% 51.36/33.99 tff(29839,plain,
% 51.36/33.99 ((~m_processor_v_master(c_p1, s6)) | node62(c_p1, s6) | m_processor_v_cmd(c_p1, s6, c_read_h_owned)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[19070, 1650, 114])).
% 51.36/33.99 tff(29840,plain,
% 51.36/33.99 (m_processor_v_cmd(c_p1, s6, c_read_h_owned)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[29839, 29832, 29838])).
% 51.36/33.99 tff(29841,plain,
% 51.36/33.99 (~m_processor_v_master(c_p0, s6)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[16318, 29832])).
% 51.36/33.99 tff(29842,plain,
% 51.36/33.99 (m_processor_v_cmd(c_p0, s6, c_idle)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[18577, 29841])).
% 51.36/33.99 tff(29843,plain,
% 51.36/33.99 (~m_processor_v_cmd(c_p1, s6, c_idle)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[19092, 29840])).
% 51.36/33.99 tff(29844,plain,
% 51.36/33.99 (~node9(s6)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[18794, 29843])).
% 51.36/33.99 tff(29845,plain,
% 51.36/33.99 (~node16(s6)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[18755, 29832])).
% 51.36/33.99 tff(29846,plain,
% 51.36/33.99 (~m_processor_v_master(c_p2, s6)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[14224, 29845])).
% 51.36/33.99 tff(29847,plain,
% 51.36/33.99 (~node62(c_p2, s6)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[14232, 29846])).
% 51.36/33.99 tff(29848,plain,
% 51.36/33.99 (m_processor_v_cmd(c_p2, s6, c_idle)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[14269, 29846, 29847])).
% 51.36/33.99 tff(29849,plain,
% 51.36/33.99 (~node17(s6)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[18766, 29832])).
% 51.36/33.99 tff(29850,plain,
% 51.36/33.99 (~m_memory_v_master(c_m, s6)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[14301, 29849])).
% 51.36/33.99 tff(29851,plain,
% 51.36/33.99 (~node29(c_m, s6)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[14293, 29850])).
% 51.36/33.99 tff(29852,plain,
% 51.36/33.99 (m_memory_v_cmd(c_m, s6, c_idle)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[14285, 29851])).
% 51.36/33.99 tff(29853,plain,
% 51.36/33.99 (node10(s6)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[18805, 29852, 29848, 29844, 29842])).
% 51.36/33.99 tff(29854,plain,
% 51.36/33.99 (m_main_v_CMD(s6, c_read_h_owned)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[19097, 29853, 29840])).
% 51.36/33.99 tff(29855,plain,
% 51.36/33.99 (m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[16254, 29854])).
% 51.36/33.99 tff(29856,plain,
% 51.36/33.99 (m_processor_v_waiting(c_p1, s7)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[18842, 29855, 29832, 29834, 29837])).
% 51.36/33.99 tff(29857,plain,
% 51.36/33.99 (~node56(c_p1, s7)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[18172, 540, 29856])).
% 51.36/33.99 tff(29858,plain,
% 51.36/33.99 (~m_processor_v_writable(c_p1, s7)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[12523, 29857])).
% 51.36/33.99 tff(29859,plain,
% 51.36/33.99 (~node67(s7)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[12530, 29858])).
% 51.36/33.99 tff(29860,plain,
% 51.36/33.99 (node67(s9)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[6554, 29859, 29819, 5669, 5670, 5668])).
% 51.36/33.99 tff(29861,plain,
% 51.36/33.99 (m_processor_v_writable(c_p0, s9)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[14729, 29860])).
% 51.36/33.99 tff(29862,plain,
% 51.36/33.99 (node56(c_p0, s9)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[14737, 29861])).
% 51.36/33.99 tff(29863,plain,
% 51.36/33.99 (m_processor_v_state(c_p0, s9, c_owned)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[14745, 29862])).
% 51.36/33.99 tff(29864,plain,
% 51.36/33.99 (m_processor_v_abort(c_p0, s8)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[24920, 29863, 14408, 14758])).
% 51.36/33.99 tff(29865,plain,
% 51.36/33.99 (node32(c_p0, s8, s9)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[14811, 29864])).
% 51.36/33.99 tff(29866,plain,
% 51.36/33.99 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p0, s8, c_owned) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~node32(c_p0, s8, s9)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p0, s8, c_owned) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~node32(c_p0, s8, s9)))),
% 51.36/33.99 inference(rewrite,[status(thm)],[])).
% 51.36/33.99 tff(29867,plain,
% 51.36/33.99 (((~node32(c_p0, s8, s9)) | m_processor_v_state(c_p0, s8, c_owned) | (~m_processor_v_state(c_p0, s9, c_owned))) <=> (m_processor_v_state(c_p0, s8, c_owned) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~node32(c_p0, s8, s9)))),
% 51.36/33.99 inference(rewrite,[status(thm)],[])).
% 51.36/33.99 tff(29868,plain,
% 51.36/33.99 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p0, s8, s9)) | m_processor_v_state(c_p0, s8, c_owned) | (~m_processor_v_state(c_p0, s9, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | (m_processor_v_state(c_p0, s8, c_owned) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~node32(c_p0, s8, s9))))),
% 51.36/33.99 inference(monotonicity,[status(thm)],[29867])).
% 51.36/33.99 tff(29869,plain,
% 51.36/33.99 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p0, s8, s9)) | m_processor_v_state(c_p0, s8, c_owned) | (~m_processor_v_state(c_p0, s9, c_owned)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p0, s8, c_owned) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~node32(c_p0, s8, s9)))),
% 51.36/33.99 inference(transitivity,[status(thm)],[29868, 29866])).
% 51.36/33.99 tff(29870,plain,
% 51.36/33.99 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | ((~node32(c_p0, s8, s9)) | m_processor_v_state(c_p0, s8, c_owned) | (~m_processor_v_state(c_p0, s9, c_owned)))),
% 51.36/33.99 inference(quant_inst,[status(thm)],[])).
% 51.36/33.99 tff(29871,plain,
% 51.36/33.99 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | m_processor_v_state(I0, X, V) | (~m_processor_v_state(I0, Y, V)))) | m_processor_v_state(c_p0, s8, c_owned) | (~m_processor_v_state(c_p0, s9, c_owned)) | (~node32(c_p0, s8, s9))),
% 51.36/33.99 inference(modus_ponens,[status(thm)],[29870, 29869])).
% 51.36/33.99 tff(29872,plain,
% 51.36/33.99 ($false),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[29871, 261, 14408, 29863, 29865])).
% 51.36/33.99 tff(29873,plain,(m_processor_v_state(c_p0, s8, c_owned) | m_processor_v_waiting(c_p0, s9) | node67(s5) | node67(s4) | node67(s6) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_master(c_p1, s7)), inference(lemma,lemma(discharge,[]))).
% 51.36/33.99 tff(29874,plain,
% 51.36/33.99 (~m_processor_v_state(c_p1, s6, c_shared)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[29873, 14408, 104, 29254, 683, 14758, 29815])).
% 51.36/33.99 tff(29875,plain,
% 51.36/33.99 (m_processor_v_state(c_p0, s7, c_owned)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[29649, 14758, 29814, 104, 29254, 683])).
% 51.36/33.99 tff(29876,plain,
% 51.36/33.99 (~m_processor_v_state(c_p0, s7, c_invalid)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[2316, 137, 29875])).
% 51.36/33.99 tff(29877,plain,
% 51.36/33.99 (node67(s9)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[29661, 29819, 53, 29816])).
% 51.36/33.99 tff(29878,plain,
% 51.36/33.99 (m_processor_v_writable(c_p0, s9)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[14729, 29877])).
% 51.36/33.99 tff(29879,plain,
% 51.36/33.99 (node56(c_p0, s9)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[14737, 29878])).
% 51.36/33.99 tff(29880,plain,
% 51.36/33.99 (m_processor_v_state(c_p0, s9, c_owned)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[14745, 29879])).
% 51.36/33.99 tff(29881,plain,
% 51.36/33.99 (m_processor_v_abort(c_p0, s8)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[24920, 29880, 14408, 14758])).
% 51.36/33.99 tff(29882,plain,
% 51.36/33.99 (node46(c_p0, s8, s9)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[15507, 29881])).
% 51.36/33.99 tff(29883,plain,
% 51.36/33.99 (~m_processor_v_waiting(c_p0, s8)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[15499, 29882, 14758])).
% 51.36/33.99 tff(29884,plain,
% 51.36/33.99 (~node32(c_p0, s7, s8)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[18114, 14408, 29875])).
% 51.36/33.99 tff(29885,plain,
% 51.36/33.99 (~m_processor_v_abort(c_p0, s7)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[14492, 29884])).
% 51.36/33.99 tff(29886,plain,
% 51.36/33.99 (node52(c_p0, s7, s8)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[24330, 29883, 29814, 29885])).
% 51.36/33.99 tff(29887,plain,
% 51.36/33.99 (~m_processor_v_waiting(c_p0, s7)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[23618, 29886, 29883])).
% 51.36/33.99 tff(29888,plain,
% 51.36/33.99 (~m_processor_v_state(c_p0, s7, c_shared)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[2324, 121, 29875])).
% 51.36/33.99 tff(29889,plain,
% 51.36/33.99 (~node63(c_p0, s7)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[25929, 1809, 29888])).
% 51.36/33.99 tff(29890,plain,
% 51.36/33.99 (~m_processor_v_REPLY_h_WAITING(c_p0, s7)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[28685, 29880, 29814, 29875, 29889, 14408, 14758])).
% 51.36/33.99 tff(29891,plain,
% 51.36/33.99 (~m_main_v_REPLY_h_WAITING(s7)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[23489, 29890])).
% 51.36/33.99 tff(29892,plain,
% 51.36/33.99 (node6(s7)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[23481, 29891])).
% 51.36/33.99 tff(29893,plain,
% 51.36/33.99 (~m_processor_v_reply_h_waiting(c_p1, s7)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[25831, 29892])).
% 51.36/33.99 tff(29894,plain,
% 51.36/33.99 ((~m_processor_v_waiting(c_p1, s7)) | m_processor_v_reply_h_waiting(c_p1, s7)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[25823, 2296, 29815])).
% 51.36/33.99 tff(29895,plain,
% 51.36/33.99 (~m_processor_v_waiting(c_p1, s7)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[29894, 29893])).
% 51.36/33.99 tff(29896,plain,
% 51.36/33.99 (m_processor_v_state(c_p0, s6, c_owned)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[2570, 29887, 29875])).
% 51.36/33.99 tff(29897,plain,
% 51.36/33.99 ($false),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[19056, 29896, 29895, 53, 29888, 29887, 29876, 29874, 29816])).
% 51.36/33.99 tff(29898,plain,(m_processor_v_state(c_p0, s8, c_owned) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_waiting(c_p0, s9)), inference(lemma,lemma(discharge,[]))).
% 51.36/33.99 tff(29899,plain,
% 51.36/33.99 (m_processor_v_state(c_p0, s8, c_owned)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[29898, 14758, 53])).
% 51.36/33.99 tff(29900,plain,
% 51.36/33.99 (~m_processor_v_state(c_p0, s8, c_shared)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[14436, 121, 29899])).
% 51.36/33.99 tff(29901,plain,
% 51.36/33.99 (~m_processor_v_state(c_p0, s8, c_invalid)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[14429, 29899])).
% 51.36/33.99 tff(29902,plain,
% 51.36/33.99 (~m_processor_v_state(c_p1, s7, c_invalid)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[13403, 137, 29816])).
% 51.36/33.99 tff(29903,plain,
% 51.36/33.99 (m_processor_v_state(c_p0, s6, c_owned)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[29575, 29902, 29875])).
% 51.36/33.99 tff(29904,plain,
% 51.36/33.99 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_state(c_p0, s9, c_owned) | (~node32(c_p0, s8, s9)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_state(c_p0, s9, c_owned) | (~node32(c_p0, s8, s9)))),
% 51.36/33.99 inference(rewrite,[status(thm)],[])).
% 51.36/33.99 tff(29905,plain,
% 51.36/33.99 (((~node32(c_p0, s8, s9)) | (~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_state(c_p0, s9, c_owned)) <=> ((~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_state(c_p0, s9, c_owned) | (~node32(c_p0, s8, s9)))),
% 51.36/33.99 inference(rewrite,[status(thm)],[])).
% 51.36/33.99 tff(29906,plain,
% 51.36/33.99 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s8, s9)) | (~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_state(c_p0, s9, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_state(c_p0, s9, c_owned) | (~node32(c_p0, s8, s9))))),
% 51.36/33.99 inference(monotonicity,[status(thm)],[29905])).
% 51.36/33.99 tff(29907,plain,
% 51.36/33.99 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s8, s9)) | (~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_state(c_p0, s9, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_state(c_p0, s9, c_owned) | (~node32(c_p0, s8, s9)))),
% 51.36/33.99 inference(transitivity,[status(thm)],[29906, 29904])).
% 51.36/33.99 tff(29908,plain,
% 51.36/33.99 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p0, s8, s9)) | (~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_state(c_p0, s9, c_owned))),
% 51.36/33.99 inference(quant_inst,[status(thm)],[])).
% 51.36/33.99 tff(29909,plain,
% 51.36/33.99 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_state(c_p0, s9, c_owned) | (~node32(c_p0, s8, s9))),
% 51.36/33.99 inference(modus_ponens,[status(thm)],[29908, 29907])).
% 51.36/33.99 tff(29910,plain,
% 51.36/33.99 ($false),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[29909, 380, 14422, 14740, 14789])).
% 51.36/33.99 tff(29911,plain,((~node32(c_p0, s8, s9)) | (~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_state(c_p0, s9, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.36/33.99 tff(29912,plain,
% 51.36/33.99 (~node32(c_p0, s8, s9)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[29911, 14740, 29899])).
% 51.36/33.99 tff(29913,plain,
% 51.36/33.99 (~m_processor_v_abort(c_p0, s8)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[14811, 29912])).
% 51.36/33.99 tff(29914,plain,
% 51.36/33.99 (~node32(c_p0, s8, s9)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[29911, 14422, 14740])).
% 51.36/33.99 tff(29915,plain,
% 51.36/33.99 (~m_processor_v_abort(c_p0, s8)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[14811, 29914])).
% 51.36/33.99 tff(29916,plain,
% 51.36/33.99 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_state(c_p0, s9, c_owned) | (~node37(c_p0, s8, s9)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_state(c_p0, s9, c_owned) | (~node37(c_p0, s8, s9)))),
% 51.36/33.99 inference(rewrite,[status(thm)],[])).
% 51.36/33.99 tff(29917,plain,
% 51.36/33.99 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_state(c_p0, s9, c_owned) | (~node37(c_p0, s8, s9)))),
% 51.36/33.99 inference(quant_inst,[status(thm)],[])).
% 51.36/33.99 tff(29918,plain,
% 51.36/33.99 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_state(c_p0, s9, c_owned) | (~node37(c_p0, s8, s9))),
% 51.36/33.99 inference(modus_ponens,[status(thm)],[29917, 29916])).
% 51.36/33.99 tff(29919,plain,
% 51.36/33.99 (~node37(c_p0, s8, s9)),
% 51.36/33.99 inference(unit_resolution,[status(thm)],[29918, 2411, 14422, 14740])).
% 51.36/34.00 tff(29920,plain,
% 51.36/34.00 ($false),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[14827, 14437, 29919, 29915, 14772])).
% 51.36/34.00 tff(29921,plain,(m_processor_v_master(c_p0, s8) | (~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_state(c_p0, s9, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.00 tff(29922,plain,
% 51.36/34.00 (m_processor_v_master(c_p0, s8)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[29921, 14740, 29899])).
% 51.36/34.00 tff(29923,plain,
% 51.36/34.00 (~m_processor_v_CMD(c_p0, s8, c_read_h_owned)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[18101, 29913, 29922, 14758])).
% 51.36/34.00 tff(29924,assumption,(node48(c_p0, s8)), introduced(assumption)).
% 51.36/34.00 tff(29925,plain,
% 51.36/34.00 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~node48(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~node48(c_p0, s8)))),
% 51.36/34.00 inference(rewrite,[status(thm)],[])).
% 51.36/34.00 tff(29926,plain,
% 51.36/34.00 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~node48(c_p0, s8)))),
% 51.36/34.00 inference(quant_inst,[status(thm)],[])).
% 51.36/34.00 tff(29927,plain,
% 51.36/34.00 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p0, s8, c_read_h_owned) | (~node48(c_p0, s8))),
% 51.36/34.00 inference(modus_ponens,[status(thm)],[29926, 29925])).
% 51.36/34.00 tff(29928,plain,
% 51.36/34.00 ($false),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[29927, 16883, 14863, 29924])).
% 51.36/34.00 tff(29929,plain,((~node48(c_p0, s8)) | m_processor_v_CMD(c_p0, s8, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.00 tff(29930,plain,
% 51.36/34.00 (~node48(c_p0, s8)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[29929, 29923])).
% 51.36/34.00 tff(29931,plain,
% 51.36/34.00 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | ((~m_processor_v_master(c_p0, s8)) | (~node51(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | (~m_processor_v_master(c_p0, s8)) | (~node51(c_p0, s8)))),
% 51.36/34.00 inference(rewrite,[status(thm)],[])).
% 51.36/34.00 tff(29932,plain,
% 51.36/34.00 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | ((~m_processor_v_master(c_p0, s8)) | (~node51(c_p0, s8)))),
% 51.36/34.00 inference(quant_inst,[status(thm)],[])).
% 51.36/34.00 tff(29933,plain,
% 51.36/34.00 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | (~m_processor_v_master(c_p0, s8)) | (~node51(c_p0, s8))),
% 51.36/34.00 inference(modus_ponens,[status(thm)],[29932, 29931])).
% 51.36/34.00 tff(29934,plain,
% 51.36/34.00 (~node51(c_p0, s8)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[29933, 16894, 15530])).
% 51.36/34.00 tff(29935,plain,
% 51.36/34.00 (~m_processor_v_CMD(c_p0, s8, c_read_h_shared)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[15157, 15530, 14758, 14814])).
% 51.36/34.00 tff(29936,assumption,(node47(c_p0, s8)), introduced(assumption)).
% 51.36/34.00 tff(29937,plain,
% 51.36/34.00 ($false),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[15161, 657, 14967, 29936])).
% 51.36/34.00 tff(29938,plain,((~node47(c_p0, s8)) | m_processor_v_CMD(c_p0, s8, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.00 tff(29939,plain,
% 51.36/34.00 (~node47(c_p0, s8)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[29938, 29935])).
% 51.36/34.00 tff(29940,plain,
% 51.36/34.00 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | ((~m_processor_v_master(c_p0, s8)) | (~node50(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | (~m_processor_v_master(c_p0, s8)) | (~node50(c_p0, s8)))),
% 51.36/34.00 inference(rewrite,[status(thm)],[])).
% 51.36/34.00 tff(29941,plain,
% 51.36/34.00 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | ((~m_processor_v_master(c_p0, s8)) | (~node50(c_p0, s8)))),
% 51.36/34.00 inference(quant_inst,[status(thm)],[])).
% 51.36/34.00 tff(29942,plain,
% 51.36/34.00 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | (~m_processor_v_master(c_p0, s8)) | (~node50(c_p0, s8))),
% 51.36/34.00 inference(modus_ponens,[status(thm)],[29941, 29940])).
% 51.36/34.00 tff(29943,plain,
% 51.36/34.00 (~node50(c_p0, s8)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[29942, 16866, 15530])).
% 51.36/34.00 tff(29944,plain,
% 51.36/34.00 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | ((~m_processor_v_master(c_p0, s8)) | (~node49(c_p0, s8)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | (~m_processor_v_master(c_p0, s8)) | (~node49(c_p0, s8)))),
% 51.36/34.00 inference(rewrite,[status(thm)],[])).
% 51.36/34.00 tff(29945,plain,
% 51.36/34.00 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | ((~m_processor_v_master(c_p0, s8)) | (~node49(c_p0, s8)))),
% 51.36/34.00 inference(quant_inst,[status(thm)],[])).
% 51.36/34.00 tff(29946,plain,
% 51.36/34.00 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | (~m_processor_v_master(c_p0, s8)) | (~node49(c_p0, s8))),
% 51.36/34.00 inference(modus_ponens,[status(thm)],[29945, 29944])).
% 51.36/34.00 tff(29947,plain,
% 51.36/34.00 (~node49(c_p0, s8)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[29946, 16755, 15530])).
% 51.36/34.00 tff(29948,plain,
% 51.36/34.00 ($false),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[16084, 29947, 29943, 15509, 14814, 29939, 16049, 29934])).
% 51.36/34.00 tff(29949,plain,((~m_processor_v_master(c_p0, s8)) | node52(c_p0, s8, s9) | m_processor_v_abort(c_p0, s8) | node48(c_p0, s8) | m_processor_v_waiting(c_p0, s9)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.00 tff(29950,plain,
% 51.36/34.00 (node52(c_p0, s8, s9)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[29949, 29930, 29922, 29913, 14758])).
% 51.36/34.00 tff(29951,plain,
% 51.36/34.00 (~m_processor_v_waiting(c_p0, s8)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[15337, 29950, 14758])).
% 51.36/34.00 tff(29952,plain,
% 51.36/34.00 (~node52(c_p0, s7, s8)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[23618, 23441, 14546])).
% 51.36/34.00 tff(29953,plain,
% 51.36/34.00 (~node46(c_p0, s7, s8)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[23449, 23441, 14546])).
% 51.36/34.00 tff(29954,plain,
% 51.36/34.00 (~m_processor_v_abort(c_p0, s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[23457, 29953])).
% 51.36/34.00 tff(29955,plain,
% 51.36/34.00 ($false),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[24330, 29954, 29952, 14621, 14546])).
% 51.36/34.00 tff(29956,plain,((~m_processor_v_waiting(c_p0, s7)) | (~m_processor_v_master(c_p0, s7)) | m_processor_v_waiting(c_p0, s8)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.00 tff(29957,plain,
% 51.36/34.00 (~m_processor_v_waiting(c_p0, s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[29956, 29951, 29814])).
% 51.36/34.00 tff(29958,plain,
% 51.36/34.00 (~m_processor_v_master(c_p1, s6)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[25475, 18174, 673, 13436, 13521])).
% 51.36/34.00 tff(29959,plain,
% 51.36/34.00 (m_processor_v_state(c_p1, s6, c_shared)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[19056, 18174, 53, 2326, 785, 2358, 2541, 13435])).
% 51.36/34.00 tff(29960,plain,
% 51.36/34.00 ($false),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[19060, 29959, 29958, 13435])).
% 51.36/34.00 tff(29961,plain,(m_processor_v_waiting(c_p1, s7) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p0, s7, c_shared) | (~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_state(c_p0, s7, c_invalid) | m_processor_v_waiting(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.00 tff(29962,plain,
% 51.36/34.00 (m_processor_v_waiting(c_p1, s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[29961, 29957, 53, 29888, 29903, 29876, 29816])).
% 51.36/34.00 tff(29963,plain,
% 51.36/34.00 (m_processor_v_reply_h_waiting(c_p1, s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[29894, 29962])).
% 51.36/34.00 tff(29964,plain,
% 51.36/34.00 (~node6(s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[25831, 29963])).
% 51.36/34.00 tff(29965,plain,
% 51.36/34.00 (m_main_v_REPLY_h_WAITING(s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[23481, 29964])).
% 51.36/34.00 tff(29966,plain,
% 51.36/34.00 (m_processor_v_REPLY_h_WAITING(c_p0, s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[23489, 29965])).
% 51.36/34.00 tff(29967,plain,
% 51.36/34.00 (~node67(s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[19099, 29903, 29816, 53])).
% 51.36/34.00 tff(29968,plain,
% 51.36/34.00 (~node56(c_p0, s9)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[14745, 14740])).
% 51.36/34.00 tff(29969,plain,
% 51.36/34.00 (~m_processor_v_writable(c_p0, s9)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[14737, 29968])).
% 51.36/34.00 tff(29970,plain,
% 51.36/34.00 (~node67(s9)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[14729, 29969])).
% 51.36/34.00 tff(29971,plain,
% 51.36/34.00 (node67(s8)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[13017, 29970, 29967, 53, 683])).
% 51.36/34.00 tff(29972,plain,
% 51.36/34.00 (m_processor_v_writable(c_p1, s8)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[5697, 29971])).
% 51.36/34.00 tff(29973,plain,
% 51.36/34.00 (node56(c_p1, s8)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[5686, 29972])).
% 51.36/34.00 tff(29974,plain,
% 51.36/34.00 (~m_processor_v_waiting(c_p1, s8)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[13159, 29973])).
% 51.36/34.00 tff(29975,plain,
% 51.36/34.00 (~node46(c_p1, s7, s8)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[25747, 29962, 29974])).
% 51.36/34.00 tff(29976,plain,
% 51.36/34.00 (~m_processor_v_abort(c_p1, s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[25385, 29975])).
% 51.36/34.00 tff(29977,plain,
% 51.36/34.00 (node60(c_p1, s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[24175, 29976])).
% 51.36/34.00 tff(29978,plain,
% 51.36/34.00 (~m_processor_v_abort(c_p0, s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[25814, 29977])).
% 51.36/34.00 tff(29979,plain,
% 51.36/34.00 ($false),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[28683, 29978, 29966, 29814, 29889, 29875, 29901, 29900])).
% 51.36/34.00 tff(29980,plain,(m_processor_v_state(c_p0, s9, c_owned) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_waiting(c_p0, s9)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.00 tff(29981,plain,
% 51.36/34.00 (m_processor_v_state(c_p0, s9, c_owned)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[29980, 14758, 53])).
% 51.36/34.00 tff(29982,plain,
% 51.36/34.00 (~m_processor_v_state(c_p0, s9, c_shared)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[14766, 121, 29981])).
% 51.36/34.00 tff(29983,plain,
% 51.36/34.00 (m_processor_v_state(c_p1, s7, c_owned)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[26782, 24694, 104, 683, 29254])).
% 51.36/34.00 tff(29984,plain,
% 51.36/34.00 (~m_processor_v_state(c_p1, s7, c_invalid)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[13403, 137, 29983])).
% 51.36/34.00 tff(29985,plain,
% 51.36/34.00 (m_processor_v_state(c_p0, s6, c_owned)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[29575, 29984, 2313])).
% 51.36/34.00 tff(29986,plain,
% 51.36/34.00 (~m_processor_v_waiting(c_p0, s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[29956, 23439, 14621])).
% 51.36/34.00 tff(29987,plain,
% 51.36/34.00 (m_processor_v_waiting(c_p1, s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[29961, 29986, 53, 2325, 29985, 2317, 29983])).
% 51.36/34.00 tff(29988,plain,
% 51.36/34.00 ((~m_processor_v_waiting(c_p1, s7)) | m_processor_v_reply_h_waiting(c_p1, s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[25823, 2296, 24694])).
% 51.36/34.00 tff(29989,plain,
% 51.36/34.00 (m_processor_v_reply_h_waiting(c_p1, s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[29988, 29987])).
% 51.36/34.00 tff(29990,plain,
% 51.36/34.00 (~node6(s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[25831, 29989])).
% 51.36/34.00 tff(29991,plain,
% 51.36/34.00 (m_main_v_REPLY_h_WAITING(s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[23481, 29990])).
% 51.36/34.00 tff(29992,plain,
% 51.36/34.00 (m_processor_v_REPLY_h_WAITING(c_p0, s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[23489, 29991])).
% 51.36/34.00 tff(29993,plain,
% 51.36/34.00 (~m_processor_v_waiting(c_p1, s8)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[13159, 16231])).
% 51.36/34.00 tff(29994,plain,
% 51.36/34.00 (~node46(c_p1, s7, s8)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[25747, 29987, 29993])).
% 51.36/34.00 tff(29995,plain,
% 51.36/34.00 (~m_processor_v_abort(c_p1, s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[25385, 29994])).
% 51.36/34.00 tff(29996,plain,
% 51.36/34.00 (node60(c_p1, s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[24175, 29995])).
% 51.36/34.00 tff(29997,plain,
% 51.36/34.00 (~m_processor_v_abort(c_p0, s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[25814, 29996])).
% 51.36/34.00 tff(29998,plain,
% 51.36/34.00 ($false),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[28683, 29997, 29992, 14621, 28607, 2313, 14438, 14468])).
% 51.36/34.00 tff(29999,plain,((~node67(s8)) | (~m_processor_v_master(c_p0, s7)) | (~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_state(c_p0, s8, c_invalid) | m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_state(c_p1, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.00 tff(30000,plain,
% 51.36/34.00 (~node67(s8)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[29999, 29900, 29657, 29667, 29901, 53])).
% 51.36/34.00 tff(30001,plain,
% 51.36/34.00 (node67(s9)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[29661, 30000, 53, 29566])).
% 51.36/34.00 tff(30002,plain,
% 51.36/34.00 (m_processor_v_writable(c_p1, s9)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[6259, 30001])).
% 51.36/34.00 tff(30003,plain,
% 51.36/34.00 (node56(c_p1, s9)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[6267, 30002])).
% 51.36/34.00 tff(30004,plain,
% 51.36/34.00 (m_processor_v_state(c_p1, s9, c_owned)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[6275, 30003])).
% 51.36/34.00 tff(30005,plain,
% 51.36/34.00 (~m_processor_v_state(c_p1, s9, c_invalid)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[6279, 137, 30004])).
% 51.36/34.00 tff(30006,plain,
% 51.36/34.00 (m_processor_v_state(c_p1, s8, c_owned)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[6549, 29653, 104, 683, 29571])).
% 51.36/34.00 tff(30007,plain,
% 51.36/34.00 (~m_processor_v_state(c_p1, s9, c_shared)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[6286, 121, 30004])).
% 51.36/34.00 tff(30008,plain,
% 51.36/34.00 ($false),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[2324, 121, 2313, 14423])).
% 51.36/34.00 tff(30009,plain,((~m_processor_v_state(c_p0, s7, c_shared)) | (~m_processor_v_state(c_p0, s7, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.00 tff(30010,plain,
% 51.36/34.00 (~m_processor_v_state(c_p0, s7, c_shared)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[30009, 29667])).
% 51.36/34.00 tff(30011,plain,
% 51.36/34.00 (~node63(c_p0, s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[25929, 1809, 30010])).
% 51.36/34.00 tff(30012,plain,
% 51.36/34.00 (~m_processor_v_state(c_p1, s6, c_invalid)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[13615, 13405, 29572, 1])).
% 51.36/34.00 tff(30013,plain,
% 51.36/34.00 (~node32(c_p1, s5, s6)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[566, 30012, 53, 1])).
% 51.36/34.00 tff(30014,plain,
% 51.36/34.00 (~m_processor_v_abort(c_p1, s5)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[250, 30013])).
% 51.36/34.00 tff(30015,plain,
% 51.36/34.00 (node60(c_p1, s5)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[698, 30014])).
% 51.36/34.00 tff(30016,plain,
% 51.36/34.00 (~m_processor_v_REPLY_h_STALL(c_p1, s5)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[13790, 30015])).
% 51.36/34.00 tff(30017,plain,
% 51.36/34.00 (~m_main_v_REPLY_h_STALL(s5)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[13797, 30016])).
% 51.36/34.00 tff(30018,plain,
% 51.36/34.00 (node7(s5)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[7305, 30017])).
% 51.36/34.00 tff(30019,plain,
% 51.36/34.00 (~m_memory_v_reply_h_stall(c_m, s5)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[7313, 30018])).
% 51.36/34.00 tff(30020,plain,
% 51.36/34.00 (m_processor_v_state(c_p1, s6, c_owned)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[13463, 13405, 29566, 1])).
% 51.36/34.00 tff(30021,plain,
% 51.36/34.00 (m_processor_v_reply_h_owned(c_p1, s6)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[24236, 30020, 13405])).
% 51.36/34.00 tff(30022,plain,
% 51.36/34.00 (~node5(s6)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[24244, 30021])).
% 51.36/34.00 tff(30023,plain,
% 51.36/34.00 (m_main_v_REPLY_h_OWNED(s6)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[24252, 30022])).
% 51.36/34.00 tff(30024,plain,
% 51.36/34.00 (m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[24260, 30023])).
% 51.36/34.00 tff(30025,plain,
% 51.36/34.00 (m_memory_v_busy(c_m, s6)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[25438, 30024, 15465])).
% 51.36/34.00 tff(30026,plain,
% 51.36/34.00 (m_processor_v_master(c_p1, s5)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[13585, 13405, 53, 1, 29566])).
% 51.36/34.00 tff(30027,plain,
% 51.36/34.00 (~m_processor_v_master(c_p0, s5)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[797, 794, 30026])).
% 51.36/34.00 tff(30028,plain,
% 51.36/34.00 (m_processor_v_reply_h_owned(c_p0, s5)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[18204, 30027, 29703, 29702])).
% 51.36/34.00 tff(30029,plain,
% 51.36/34.00 (~node5(s5)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[18212, 30028])).
% 51.36/34.00 tff(30030,plain,
% 51.36/34.00 (m_main_v_REPLY_h_OWNED(s5)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[18220, 30029])).
% 51.36/34.00 tff(30031,plain,
% 51.36/34.00 (m_memory_v_REPLY_h_OWNED(c_m, s5)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[18228, 30030])).
% 51.36/34.00 tff(30032,plain,
% 51.36/34.00 (m_memory_v_busy(c_m, s5)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[29393, 30031, 30025])).
% 51.36/34.00 tff(30033,plain,
% 51.36/34.00 (node30(c_m, s5)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[7322, 30032, 30019])).
% 51.36/34.00 tff(30034,plain,
% 51.36/34.00 (~m_memory_v_CMD(c_m, s5, c_read_h_owned)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[18278, 30033])).
% 51.36/34.00 tff(30035,plain,
% 51.36/34.00 (m_processor_v_CMD(c_p1, s5, c_read_h_owned)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[629, 30012, 53, 1])).
% 51.36/34.00 tff(30036,plain,
% 51.36/34.00 (m_main_v_CMD(s5, c_read_h_owned)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[13623, 1260, 30035, 13607])).
% 51.36/34.00 tff(30037,plain,
% 51.36/34.00 ($false),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[18233, 4207, 30036, 6954, 30034])).
% 51.36/34.00 tff(30038,plain,(m_processor_v_master(c_p1, s6) | (~m_memory_v_busy(c_m, s7)) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p1, s6, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.00 tff(30039,plain,
% 51.36/34.00 (m_processor_v_master(c_p1, s6)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[30038, 15465, 53, 1])).
% 51.36/34.00 tff(30040,plain,
% 51.36/34.00 (~m_processor_v_master(c_p0, s6)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[16318, 30039])).
% 51.36/34.00 tff(30041,plain,
% 51.36/34.00 (m_processor_v_master(c_p0, s6) | m_processor_v_reply_h_owned(c_p0, s6)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[25481, 10170, 29652])).
% 51.36/34.00 tff(30042,plain,
% 51.36/34.00 (m_processor_v_reply_h_owned(c_p0, s6)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[30041, 30040])).
% 51.36/34.00 tff(30043,plain,
% 51.36/34.00 (~node5(s6)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[25489, 30042])).
% 51.36/34.00 tff(30044,plain,
% 51.36/34.00 (~m_memory_v_busy(c_m, s6)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[25727, 30039, 53, 29572, 29702, 29668, 29703])).
% 51.36/34.00 tff(30045,plain,
% 51.36/34.00 (~m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[25438, 30044, 15465])).
% 51.36/34.00 tff(30046,plain,
% 51.36/34.00 (~m_main_v_REPLY_h_OWNED(s6)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[24260, 30045])).
% 51.36/34.00 tff(30047,plain,
% 51.36/34.00 ($false),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[24252, 30046, 30043])).
% 51.36/34.00 tff(30048,plain,((~m_memory_v_busy(c_m, s7)) | m_processor_v_state(c_p1, s5, c_owned) | m_processor_v_state(c_p1, s6, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.00 tff(30049,plain,
% 51.36/34.00 (m_processor_v_state(c_p1, s6, c_shared)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[30048, 15465, 53])).
% 51.36/34.00 tff(30050,plain,
% 51.36/34.00 (m_processor_v_master(c_p1, s6)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[19060, 30049, 29566])).
% 51.36/34.00 tff(30051,plain,
% 51.36/34.00 (~m_processor_v_master(c_p0, s6)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[16318, 30050])).
% 51.36/34.00 tff(30052,plain,
% 51.36/34.00 (m_processor_v_reply_h_owned(c_p0, s6)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[30041, 30051])).
% 51.36/34.00 tff(30053,plain,
% 51.36/34.00 (~node5(s6)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[25489, 30052])).
% 51.36/34.00 tff(30054,plain,
% 51.36/34.00 (~m_memory_v_busy(c_m, s6)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[25727, 30050, 53, 29572, 29702, 29668, 29703])).
% 51.36/34.00 tff(30055,plain,
% 51.36/34.00 (~m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[25438, 30054, 15465])).
% 51.36/34.00 tff(30056,plain,
% 51.36/34.00 (~m_main_v_REPLY_h_OWNED(s6)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[24260, 30055])).
% 51.36/34.00 tff(30057,plain,
% 51.36/34.00 ($false),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[24252, 30056, 30053])).
% 51.36/34.00 tff(30058,plain,((~m_memory_v_busy(c_m, s7)) | m_processor_v_state(c_p1, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.00 tff(30059,plain,
% 51.36/34.00 (~m_memory_v_busy(c_m, s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[30058, 53])).
% 51.36/34.00 tff(30060,plain,
% 51.36/34.00 (~m_processor_v_master(c_p1, s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[13229, 794, 29657])).
% 51.36/34.00 tff(30061,plain,
% 51.36/34.00 (m_processor_v_reply_h_owned(c_p1, s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[15344, 30060, 29566])).
% 51.36/34.00 tff(30062,plain,
% 51.36/34.00 (~node5(s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[15348, 10333, 30061])).
% 51.36/34.00 tff(30063,plain,
% 51.36/34.00 (m_main_v_REPLY_h_OWNED(s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[15356, 30062])).
% 51.36/34.00 tff(30064,plain,
% 51.36/34.00 (m_memory_v_REPLY_h_OWNED(c_m, s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[15364, 30063])).
% 51.36/34.00 tff(30065,plain,
% 51.36/34.00 (~m_processor_v_state(c_p0, s9, c_invalid)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[14770, 137, 29981])).
% 51.36/34.00 tff(30066,plain,
% 51.36/34.00 (m_processor_v_reply_h_waiting(c_p1, s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[29988, 25202])).
% 51.36/34.00 tff(30067,plain,
% 51.36/34.00 (~node6(s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[25831, 30066])).
% 51.36/34.00 tff(30068,plain,
% 51.36/34.00 (m_main_v_REPLY_h_WAITING(s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[23481, 30067])).
% 51.36/34.00 tff(30069,plain,
% 51.36/34.00 (m_processor_v_REPLY_h_WAITING(c_p0, s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[23489, 30068])).
% 51.36/34.00 tff(30070,plain,
% 51.36/34.00 (m_processor_v_abort(c_p0, s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[28683, 25984, 14621, 30069, 2313, 14430, 14437])).
% 51.36/34.00 tff(30071,plain,
% 51.36/34.00 (node32(c_p0, s7, s8)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[14492, 30070])).
% 51.36/34.00 tff(30072,plain,
% 51.36/34.00 (~m_processor_v_state(c_p0, s7, c_invalid)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[14512, 30071, 14430])).
% 51.36/34.00 tff(30073,plain,
% 51.36/34.00 (~node62(c_p0, s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[14713, 1633, 30072])).
% 51.36/34.00 tff(30074,plain,
% 51.36/34.00 (m_processor_v_cmd(c_p0, s7, c_read_h_shared)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[28642, 13174, 24696])).
% 51.36/34.00 tff(30075,plain,
% 51.36/34.00 (((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s7, c_read_h_shared)) | (~m_main_v_CMD(s7, c_write_h_invalid)))) <=> ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s7, c_read_h_shared)) | (~m_main_v_CMD(s7, c_write_h_invalid)))),
% 51.36/34.00 inference(rewrite,[status(thm)],[])).
% 51.36/34.00 tff(30076,plain,
% 51.36/34.00 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | ((~m_main_v_CMD(s7, c_read_h_shared)) | (~m_main_v_CMD(s7, c_write_h_invalid)))),
% 51.36/34.00 inference(quant_inst,[status(thm)],[])).
% 51.36/34.00 tff(30077,plain,
% 51.36/34.00 ((~![X: $i] : ((~m_main_v_CMD(X, c_read_h_shared)) | (~m_main_v_CMD(X, c_write_h_invalid)))) | (~m_main_v_CMD(s7, c_read_h_shared)) | (~m_main_v_CMD(s7, c_write_h_invalid))),
% 51.36/34.00 inference(modus_ponens,[status(thm)],[30076, 30075])).
% 51.36/34.00 tff(30078,plain,
% 51.36/34.00 ($false),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[30077, 8958, 24145, 13174])).
% 51.36/34.00 tff(30079,plain,((~m_main_v_CMD(s7, c_write_h_invalid)) | (~m_main_v_CMD(s7, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.00 tff(30080,plain,
% 51.36/34.00 (~m_main_v_CMD(s7, c_write_h_invalid)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[30079, 13174])).
% 51.36/34.00 tff(30081,plain,
% 51.36/34.00 (~m_processor_v_cmd(c_p0, s7, c_write_h_invalid)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[25982, 1669, 30080, 24696])).
% 51.36/34.00 tff(30082,assumption,(m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)), introduced(assumption)).
% 51.36/34.00 tff(30083,plain,
% 51.36/34.00 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p0, s7, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p0, s7, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)))),
% 51.36/34.00 inference(rewrite,[status(thm)],[])).
% 51.36/34.00 tff(30084,plain,
% 51.36/34.00 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p0, s7, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)))),
% 51.36/34.00 inference(quant_inst,[status(thm)],[])).
% 51.36/34.00 tff(30085,plain,
% 51.36/34.00 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p0, s7, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared))),
% 51.36/34.00 inference(modus_ponens,[status(thm)],[30084, 30083])).
% 51.36/34.00 tff(30086,plain,
% 51.36/34.00 ($false),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[30085, 16773, 30082, 14650])).
% 51.36/34.00 tff(30087,plain,((~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)) | (~m_processor_v_cmd(c_p0, s7, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.00 tff(30088,plain,
% 51.36/34.00 (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_shared)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[30087, 30074])).
% 51.36/34.00 tff(30089,plain,
% 51.36/34.00 (m_processor_v_snoop(c_p0, s7, c_owned)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[26022, 30088, 14621, 25993, 25984, 30081, 2313])).
% 51.36/34.00 tff(30090,plain,
% 51.36/34.00 (m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[28668, 30089, 2313, 25993, 25984])).
% 51.36/34.00 tff(30091,plain,
% 51.36/34.00 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s7, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p0, s7, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid)))),
% 51.36/34.00 inference(rewrite,[status(thm)],[])).
% 51.36/34.00 tff(30092,plain,
% 51.36/34.00 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s7, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid)))),
% 51.36/34.00 inference(quant_inst,[status(thm)],[])).
% 51.36/34.00 tff(30093,plain,
% 51.36/34.00 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_shared)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p0, s7, c_read_h_shared)) | (~m_processor_v_cmd(c_p0, s7, c_write_h_resp_h_invalid))),
% 51.36/34.00 inference(modus_ponens,[status(thm)],[30092, 30091])).
% 51.36/34.00 tff(30094,plain,
% 51.36/34.00 ($false),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[30093, 9153, 30090, 30074])).
% 51.36/34.00 tff(30095,plain,((~m_main_v_CMD(s7, c_read_h_shared)) | (~m_processor_v_state(c_p0, s7, c_owned)) | node62(c_p0, s7) | node63(c_p0, s7) | (~m_processor_v_master(c_p0, s7))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.00 tff(30096,plain,
% 51.36/34.00 (~m_main_v_CMD(s7, c_read_h_shared)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[30095, 30073, 2313, 25984, 14621])).
% 51.36/34.00 tff(30097,plain,
% 51.36/34.00 (~m_memory_v_CMD(c_m, s7, c_read_h_shared)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[24612, 30096])).
% 51.36/34.00 tff(30098,plain,
% 51.36/34.00 (~m_memory_v_busy(c_m, s8)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[29423, 30097, 15389, 24390])).
% 51.36/34.00 tff(30099,plain,
% 51.36/34.00 (~node60(c_p1, s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[25814, 30070])).
% 51.36/34.00 tff(30100,plain,
% 51.36/34.00 (m_processor_v_abort(c_p1, s7)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[24175, 30099])).
% 51.36/34.00 tff(30101,plain,
% 51.36/34.00 (node46(c_p1, s7, s8)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[25385, 30100])).
% 51.36/34.00 tff(30102,plain,
% 51.36/34.00 (m_processor_v_waiting(c_p1, s8)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[25747, 30101, 25202])).
% 51.36/34.00 tff(30103,plain,
% 51.36/34.00 (~m_memory_v_cmd(c_m, s8, c_idle)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[29435, 30102, 14422, 14838, 14780, 14758, 6289, 13022, 6288, 6290])).
% 51.36/34.00 tff(30104,plain,
% 51.36/34.00 (node29(c_m, s8)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[15489, 30103])).
% 51.36/34.00 tff(30105,plain,
% 51.36/34.00 ($false),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[15481, 2072, 30104, 30098])).
% 51.36/34.00 tff(30106,plain,(node63(c_p0, s7) | (~m_memory_v_REPLY_h_OWNED(c_m, s7)) | m_memory_v_busy(c_m, s7) | (~m_processor_v_state(c_p0, s7, c_owned)) | (~m_processor_v_master(c_p0, s7)) | (~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_state(c_p0, s9, c_invalid) | m_processor_v_waiting(c_p0, s9) | m_processor_v_state(c_p1, s9, c_shared) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_waiting(c_p1, s9) | (~m_processor_v_waiting(c_p1, s7))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.00 tff(30107,plain,
% 51.36/34.00 (m_processor_v_waiting(c_p1, s9)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[30106, 30065, 30064, 30059, 29657, 29667, 30011, 29899, 14758, 30007, 30006, 30005, 29982, 29813])).
% 51.36/34.00 tff(30108,plain,
% 51.36/34.00 ($false),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[6546, 540, 30003, 30107])).
% 51.36/34.00 tff(30109,plain,(m_processor_v_waiting(c_p0, s9) | m_processor_v_state(c_p1, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.00 tff(30110,plain,
% 51.36/34.00 (m_processor_v_waiting(c_p0, s9)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[30109, 53])).
% 51.36/34.00 tff(30111,plain,
% 51.36/34.00 (~node56(c_p0, s9)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[14756, 540, 30110])).
% 51.36/34.00 tff(30112,plain,
% 51.36/34.00 (~m_processor_v_writable(c_p0, s9)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[14737, 30111])).
% 51.36/34.00 tff(30113,plain,
% 51.36/34.00 (~node67(s9)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[14729, 30112])).
% 51.36/34.00 tff(30114,plain,
% 51.36/34.00 (node67(s8)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[13017, 30113, 53, 29653, 683])).
% 51.36/34.00 tff(30115,plain,
% 51.36/34.00 (m_processor_v_writable(c_p0, s8)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[12500, 30114])).
% 51.36/34.00 tff(30116,plain,
% 51.36/34.00 (node56(c_p0, s8)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[12508, 30115])).
% 51.36/34.00 tff(30117,plain,
% 51.36/34.00 (m_processor_v_state(c_p0, s8, c_owned)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[14413, 30116])).
% 51.36/34.00 tff(30118,plain,
% 51.36/34.00 (~m_processor_v_state(c_p0, s8, c_invalid)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[14429, 30117])).
% 51.36/34.00 tff(30119,plain,
% 51.36/34.00 (m_processor_v_state(c_p0, s8, c_shared)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[29999, 30118, 29657, 29667, 30114, 53])).
% 51.36/34.00 tff(30120,plain,
% 51.36/34.00 ($false),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[14436, 121, 30117, 30119])).
% 51.36/34.00 tff(30121,plain,(m_processor_v_state(c_p1, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.00 tff(30122,plain,
% 51.36/34.00 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p1, s6, c_owned) | (~node37(c_p1, s5, s6)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p1, s6, c_owned) | (~node37(c_p1, s5, s6)))),
% 51.36/34.00 inference(rewrite,[status(thm)],[])).
% 51.36/34.00 tff(30123,plain,
% 51.36/34.00 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p1, s6, c_owned) | (~node37(c_p1, s5, s6)))),
% 51.36/34.00 inference(quant_inst,[status(thm)],[])).
% 51.36/34.00 tff(30124,plain,
% 51.36/34.00 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node37(I0, X, Y)))) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p1, s6, c_owned) | (~node37(c_p1, s5, s6))),
% 51.36/34.00 inference(modus_ponens,[status(thm)],[30123, 30122])).
% 51.36/34.00 tff(30125,plain,
% 51.36/34.00 ($false),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[30124, 2411, 13853, 172, 106])).
% 51.36/34.00 tff(30126,plain,(m_processor_v_state(c_p1, s6, c_owned) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~node37(c_p1, s5, s6))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.00 tff(30127,plain,
% 51.36/34.00 (~node37(c_p1, s5, s6)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[30126, 13853, 106])).
% 51.36/34.00 tff(30128,plain,
% 51.36/34.00 (~node36(c_p1, s5)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[170, 167, 14036])).
% 51.36/34.00 tff(30129,plain,
% 51.36/34.00 (m_processor_v_abort(c_p1, s5)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[232, 30128, 142, 30127, 14036])).
% 51.36/34.00 tff(30130,plain,
% 51.36/34.00 (node32(c_p1, s5, s6)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[250, 30129])).
% 51.36/34.00 tff(30131,plain,
% 51.36/34.00 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p1, s6, c_owned) | (~node32(c_p1, s5, s6)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p1, s6, c_owned) | (~node32(c_p1, s5, s6)))),
% 51.36/34.00 inference(rewrite,[status(thm)],[])).
% 51.36/34.00 tff(30132,plain,
% 51.36/34.00 (((~node32(c_p1, s5, s6)) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p1, s6, c_owned)) <=> ((~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p1, s6, c_owned) | (~node32(c_p1, s5, s6)))),
% 51.36/34.00 inference(rewrite,[status(thm)],[])).
% 51.36/34.00 tff(30133,plain,
% 51.36/34.00 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s5, s6)) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p1, s6, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p1, s6, c_owned) | (~node32(c_p1, s5, s6))))),
% 51.36/34.00 inference(monotonicity,[status(thm)],[30132])).
% 51.36/34.00 tff(30134,plain,
% 51.36/34.00 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s5, s6)) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p1, s6, c_owned))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p1, s6, c_owned) | (~node32(c_p1, s5, s6)))),
% 51.36/34.00 inference(transitivity,[status(thm)],[30133, 30131])).
% 51.36/34.00 tff(30135,plain,
% 51.36/34.00 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | ((~node32(c_p1, s5, s6)) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p1, s6, c_owned))),
% 51.36/34.00 inference(quant_inst,[status(thm)],[])).
% 51.36/34.00 tff(30136,plain,
% 51.36/34.00 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~node32(I0, X, Y)) | (~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V))) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p1, s6, c_owned) | (~node32(c_p1, s5, s6))),
% 51.36/34.00 inference(modus_ponens,[status(thm)],[30135, 30134])).
% 51.36/34.00 tff(30137,plain,
% 51.36/34.00 ($false),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[30136, 380, 13853, 30130, 106])).
% 51.36/34.00 tff(30138,plain,((~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p1, s6, c_owned) | m_processor_v_master(c_p1, s5)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.00 tff(30139,plain,
% 51.36/34.00 (m_processor_v_master(c_p1, s5)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[30138, 29559, 30121])).
% 51.36/34.00 tff(30140,plain,
% 51.36/34.00 (~m_processor_v_master(c_p0, s5)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[797, 794, 30139])).
% 51.36/34.00 tff(30141,plain,
% 51.36/34.00 (m_processor_v_state(c_p0, s5, c_owned)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[1058, 30140, 29556])).
% 51.36/34.00 tff(30142,plain,
% 51.36/34.00 (~m_processor_v_waiting(c_p1, s5)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[19116, 19384])).
% 51.36/34.00 tff(30143,plain,
% 51.36/34.00 (m_processor_v_master(c_p1, s4)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[19185, 17369, 559, 160])).
% 51.36/34.00 tff(30144,plain,
% 51.36/34.00 (~m_processor_v_CMD(c_p1, s4, c_read_h_shared)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[19267, 30143, 19191, 19141])).
% 51.36/34.00 tff(30145,plain,
% 51.36/34.00 (~node47(c_p1, s4)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[19271, 657, 30144])).
% 51.36/34.00 tff(30146,plain,
% 51.36/34.00 (node34(c_p1, s4, s5)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[17176, 30143, 19141])).
% 51.36/34.00 tff(30147,plain,
% 51.36/34.00 (m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[19236, 19477, 559, 160, 30146])).
% 51.36/34.00 tff(30148,plain,
% 51.36/34.00 ($false),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[19259, 30147, 30145, 19191, 30143, 19141])).
% 51.36/34.00 tff(30149,plain,((~m_processor_v_state(c_p1, s4, c_shared)) | m_processor_v_waiting(c_p1, s5) | m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_state(c_p1, s5, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.00 tff(30150,plain,
% 51.36/34.00 (~m_processor_v_state(c_p1, s4, c_shared)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[30149, 30142, 19134, 19107])).
% 51.36/34.00 tff(30151,plain,
% 51.36/34.00 (~m_processor_v_state(c_p1, s4, c_shared)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[30149, 19191, 19134, 19107])).
% 51.36/34.00 tff(30152,plain,
% 51.36/34.00 (m_processor_v_master(c_p1, s3)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[19289, 19191, 13853, 5656])).
% 51.36/34.00 tff(30153,plain,
% 51.36/34.00 (~m_processor_v_cmd(c_p1, s4, c_idle)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[22726, 16701, 13853])).
% 51.36/34.00 tff(30154,plain,
% 51.36/34.00 (m_processor_v_master(c_p1, s4)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[1517, 30153])).
% 51.36/34.00 tff(30155,plain,
% 51.36/34.00 (~node32(c_p1, s4, s5)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[16706, 16701, 19134])).
% 51.36/34.00 tff(30156,plain,
% 51.36/34.00 (~m_processor_v_abort(c_p1, s4)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[6859, 30155])).
% 51.36/34.00 tff(30157,plain,
% 51.36/34.00 (m_processor_v_writable(c_p1, s4)),
% 51.36/34.00 inference(unit_resolution,[status(thm)],[21238, 30156, 19134, 19107, 19191, 30154, 6657])).
% 51.36/34.01 tff(30158,plain,
% 51.36/34.01 (node56(c_p1, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[6573, 30157])).
% 51.36/34.01 tff(30159,plain,
% 51.36/34.01 (m_processor_v_state(c_p1, s4, c_owned)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[6584, 30158])).
% 51.36/34.01 tff(30160,plain,
% 51.36/34.01 ($false),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[6599, 137, 30159, 16701])).
% 51.36/34.01 tff(30161,plain,((~m_processor_v_state(c_p1, s4, c_invalid)) | m_processor_v_waiting(c_p1, s5) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_state(c_p1, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.01 tff(30162,plain,
% 51.36/34.01 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[30161, 19191, 6657, 13853])).
% 51.36/34.01 tff(30163,assumption,(~node34(c_p1, s3, s4)), introduced(assumption)).
% 51.36/34.01 tff(30164,plain,
% 51.36/34.01 (m_processor_v_abort(c_p1, s3)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[6720, 30163, 6711])).
% 51.36/34.01 tff(30165,plain,
% 51.36/34.01 (m_processor_v_master(c_p1, s3)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[19245, 5656, 6657, 6713])).
% 51.36/34.01 tff(30166,plain,
% 51.36/34.01 (m_processor_v_abort(c_p1, s3)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[6720, 30165, 30163])).
% 51.36/34.01 tff(30167,plain,
% 51.36/34.01 (m_processor_v_state(c_p1, s3, c_invalid)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[6646, 5656, 5277])).
% 51.36/34.01 tff(30168,plain,
% 51.36/34.01 (~node32(c_p1, s3, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[6812, 30167, 6713])).
% 51.36/34.01 tff(30169,plain,
% 51.36/34.01 ($false),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[6640, 30168, 30166])).
% 51.36/34.01 tff(30170,plain,(m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_state(c_p1, s4, c_invalid) | node34(c_p1, s3, s4) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s4, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.01 tff(30171,plain,
% 51.36/34.01 (m_processor_v_state(c_p1, s3, c_shared)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[30170, 30163, 5656, 6657, 6713])).
% 51.36/34.01 tff(30172,plain,
% 51.36/34.01 (~node32(c_p1, s3, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[6667, 30171, 6657])).
% 51.36/34.01 tff(30173,plain,
% 51.36/34.01 ($false),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[6640, 30172, 30164])).
% 51.36/34.01 tff(30174,plain,(node34(c_p1, s3, s4) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_state(c_p1, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.01 tff(30175,plain,
% 51.36/34.01 (node34(c_p1, s3, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[30174, 30162, 5656, 6657, 30152])).
% 51.36/34.01 tff(30176,plain,
% 51.36/34.01 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[29106, 30175, 6657])).
% 51.36/34.01 tff(30177,plain,
% 51.36/34.01 (~m_main_v_CMD(s3, c_read_h_shared)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[10585, 30176])).
% 51.36/34.01 tff(30178,plain,
% 51.36/34.01 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[11528, 30177])).
% 51.36/34.01 tff(30179,plain,
% 51.36/34.01 (m_processor_v_state(c_p0, s3, c_owned)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[19497, 5656, 13853, 1752])).
% 51.36/34.01 tff(30180,plain,
% 51.36/34.01 (m_processor_v_state(c_p1, s4, c_owned)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[6848, 30162, 6657])).
% 51.36/34.01 tff(30181,plain,
% 51.36/34.01 (m_processor_v_waiting(c_p1, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[10617, 10614, 30180, 13508])).
% 51.36/34.01 tff(30182,plain,
% 51.36/34.01 (~node46(c_p1, s4, s5)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[19513, 30181, 19191])).
% 51.36/34.01 tff(30183,plain,
% 51.36/34.01 (~m_processor_v_abort(c_p1, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[19521, 30182])).
% 51.36/34.01 tff(30184,plain,
% 51.36/34.01 (~m_processor_v_master(c_p1, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[21238, 30183, 19134, 19107, 13508, 6657, 19191])).
% 51.36/34.01 tff(30185,plain,
% 51.36/34.01 (m_processor_v_cmd(c_p1, s4, c_idle)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[1517, 30184])).
% 51.36/34.01 tff(30186,plain,
% 51.36/34.01 (~node52(c_p1, s4, s5)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[19535, 30181, 19191])).
% 51.36/34.01 tff(30187,plain,
% 51.36/34.01 (~node47(c_p1, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[19539, 12108, 30184])).
% 51.36/34.01 tff(30188,plain,
% 51.36/34.01 (~node48(c_p1, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[19525, 11562, 30184])).
% 51.36/34.01 tff(30189,plain,
% 51.36/34.01 (~m_processor_v_snoop(c_p0, s4, c_invalid)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[21124, 1519, 19852, 1752, 1425, 19851, 1620, 19853])).
% 51.36/34.01 tff(30190,plain,
% 51.36/34.01 (m_processor_v_snoop(c_p0, s4, c_shared)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[27085, 30189, 5656, 2652, 9540, 6657])).
% 51.36/34.01 tff(30191,plain,
% 51.36/34.01 (m_processor_v_snoop(c_p0, s4, c_owned)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[20082, 30189, 953, 19852, 1620, 1425, 19851, 19853, 1519, 1752, 1925])).
% 51.36/34.01 tff(30192,plain,
% 51.36/34.01 ($false),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[19819, 8775, 30191, 30190])).
% 51.36/34.01 tff(30193,plain,((~m_memory_v_cmd(c_m, s4, c_idle)) | m_processor_v_state(c_p0, s5, c_shared) | node52(c_p1, s4, s5) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | m_processor_v_abort(c_p1, s4) | node48(c_p1, s4) | node47(c_p1, s4) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s4)) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_CMD(c_p0, s3, c_read_h_shared) | m_processor_v_state(c_p1, s4, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.01 tff(30194,plain,
% 51.36/34.01 (~m_processor_v_REPLY_h_WAITING(c_p1, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[30193, 30188, 1752, 953, 1519, 30187, 30186, 30185, 30183, 5656, 30179, 30178, 6657])).
% 51.36/34.01 tff(30195,plain,
% 51.36/34.01 (m_processor_v_reply_h_waiting(c_p1, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[19363, 2296, 30184, 30181])).
% 51.36/34.01 tff(30196,plain,
% 51.36/34.01 (~node6(s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[19355, 30195])).
% 51.36/34.01 tff(30197,plain,
% 51.36/34.01 (m_main_v_REPLY_h_WAITING(s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[19347, 30196])).
% 51.36/34.01 tff(30198,plain,
% 51.36/34.01 ($false),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[1922, 30197, 30194])).
% 51.36/34.01 tff(30199,plain,(m_processor_v_waiting(c_p1, s5) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_state(c_p0, s5, c_shared) | (~m_memory_v_cmd(c_m, s4, c_idle)) | m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_state(c_p1, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.01 tff(30200,plain,
% 51.36/34.01 (~m_memory_v_cmd(c_m, s4, c_idle)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[30199, 5656, 1752, 30151, 19191, 953, 13853])).
% 51.36/34.01 tff(30201,plain,
% 51.36/34.01 (m_memory_v_master(c_m, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[1310, 1298])).
% 51.36/34.01 tff(30202,plain,
% 51.36/34.01 (node17(s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[1295, 30201])).
% 51.36/34.01 tff(30203,plain,
% 51.36/34.01 (m_memory_v_busy(c_m, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[2077, 1298])).
% 51.36/34.01 tff(30204,plain,
% 51.36/34.01 (m_processor_v_master(c_p1, s3)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[19189, 1439, 13853, 5656])).
% 51.36/34.01 tff(30205,plain,
% 51.36/34.01 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[22726, 19541, 13853])).
% 51.36/34.01 tff(30206,plain,
% 51.36/34.01 (node34(c_p1, s3, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[30174, 30205, 6657, 5656, 30204])).
% 51.36/34.01 tff(30207,plain,
% 51.36/34.01 (m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[6780, 20119, 6657, 30205, 30206])).
% 51.36/34.01 tff(30208,plain,
% 51.36/34.01 (m_main_v_CMD(s3, c_read_h_owned)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[12458, 30207])).
% 51.36/34.01 tff(30209,plain,
% 51.36/34.01 (m_memory_v_CMD(c_m, s3, c_read_h_owned)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[10550, 4207, 30208, 10083])).
% 51.36/34.01 tff(30210,plain,
% 51.36/34.01 (~node30(c_m, s3)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[10554, 5042, 30209])).
% 51.36/34.01 tff(30211,plain,
% 51.36/34.01 (~m_processor_v_master(c_p0, s3)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[9444, 794, 30204])).
% 51.36/34.01 tff(30212,plain,
% 51.36/34.01 (m_processor_v_reply_h_owned(c_p0, s3)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[19685, 30211])).
% 51.36/34.01 tff(30213,plain,
% 51.36/34.01 (~node5(s3)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[19689, 10185, 30212])).
% 51.36/34.01 tff(30214,plain,
% 51.36/34.01 (m_main_v_REPLY_h_OWNED(s3)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[19697, 30213])).
% 51.36/34.01 tff(30215,plain,
% 51.36/34.01 (m_memory_v_REPLY_h_OWNED(c_m, s3)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[19705, 30214])).
% 51.36/34.01 tff(30216,plain,
% 51.36/34.01 (~node25(c_m, s3)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[19740, 9959, 30209])).
% 51.36/34.01 tff(30217,plain,
% 51.36/34.01 (~node26(c_m, s3)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[19749, 30216, 30215])).
% 51.36/34.01 tff(30218,plain,
% 51.36/34.01 (m_memory_v_abort(c_m, s3)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[19756, 30217])).
% 51.36/34.01 tff(30219,plain,
% 51.36/34.01 (node18(c_m, s3, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[9878, 30218])).
% 51.36/34.01 tff(30220,plain,
% 51.36/34.01 (m_memory_v_busy(c_m, s3)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[20093, 30219, 7332])).
% 51.36/34.01 tff(30221,plain,
% 51.36/34.01 (m_memory_v_reply_h_stall(c_m, s3)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[10526, 30220, 30210])).
% 51.36/34.01 tff(30222,plain,
% 51.36/34.01 (~node7(s3)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[10518, 30221])).
% 51.36/34.01 tff(30223,plain,
% 51.36/34.01 (m_main_v_REPLY_h_STALL(s3)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[10510, 30222])).
% 51.36/34.01 tff(30224,plain,
% 51.36/34.01 (m_processor_v_REPLY_h_STALL(c_p1, s3)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[11820, 30223])).
% 51.36/34.01 tff(30225,plain,
% 51.36/34.01 (~node60(c_p1, s3)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[12717, 30224])).
% 51.36/34.01 tff(30226,plain,
% 51.36/34.01 (m_processor_v_abort(c_p1, s3)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[11803, 30225])).
% 51.36/34.01 tff(30227,plain,
% 51.36/34.01 (node32(c_p1, s3, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[6640, 30226])).
% 51.36/34.01 tff(30228,plain,
% 51.36/34.01 (~m_processor_v_state(c_p1, s3, c_shared)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[6667, 30227, 6657])).
% 51.36/34.01 tff(30229,plain,
% 51.36/34.01 (~m_processor_v_state(c_p1, s3, c_invalid)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[6812, 30227, 30205])).
% 51.36/34.01 tff(30230,plain,
% 51.36/34.01 ($false),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[6646, 30229, 30228, 5656])).
% 51.36/34.01 tff(30231,plain,(m_processor_v_master(c_p1, s4) | m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_state(c_p1, s4, c_shared) | (~m_memory_v_busy(c_m, s4)) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_state(c_p1, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.01 tff(30232,plain,
% 51.36/34.01 (m_processor_v_master(c_p1, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[30231, 30203, 5656, 6657, 2652, 13853])).
% 51.36/34.01 tff(30233,plain,
% 51.36/34.01 ($false),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[6871, 30232, 30202])).
% 51.36/34.01 tff(30234,plain,((~node29(c_m, s4)) | m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_state(c_p1, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.01 tff(30235,plain,
% 51.36/34.01 (~node29(c_m, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[30234, 30179, 30151, 5656, 13853])).
% 51.36/34.01 tff(30236,plain,
% 51.36/34.01 ($false),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[1325, 30235, 30200])).
% 51.36/34.01 tff(30237,plain,(m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_waiting(c_p1, s5) | m_processor_v_state(c_p0, s5, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.01 tff(30238,plain,
% 51.36/34.01 (m_processor_v_state(c_p1, s3, c_owned)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[30237, 30142, 1752, 13853, 953])).
% 51.36/34.01 tff(30239,plain,
% 51.36/34.01 (~m_memory_v_busy(c_m, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[29155, 30238, 1752, 30150])).
% 51.36/34.01 tff(30240,plain,
% 51.36/34.01 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[30161, 30142, 30150, 13853])).
% 51.36/34.01 tff(30241,plain,
% 51.36/34.01 (~m_processor_v_waiting(c_p0, s5)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[21281, 19305])).
% 51.36/34.01 tff(30242,plain,
% 51.36/34.01 (~node63(c_p1, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[12632, 1809, 6657])).
% 51.36/34.01 tff(30243,plain,
% 51.36/34.01 (~node29(c_m, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[2077, 2065])).
% 51.36/34.01 tff(30244,plain,
% 51.36/34.01 (m_memory_v_cmd(c_m, s4, c_idle)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[1325, 30243])).
% 51.36/34.01 tff(30245,plain,
% 51.36/34.01 (m_processor_v_snoop(c_p0, s4, c_invalid)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[22195, 9825, 21126])).
% 51.36/34.01 tff(30246,plain,
% 51.36/34.01 (~m_processor_v_snoop(c_p0, s4, c_owned)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[21056, 4071, 30245])).
% 51.36/34.01 tff(30247,plain,
% 51.36/34.01 (~node52(c_p0, s4, s5)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[21695, 19452, 1193])).
% 51.36/34.01 tff(30248,plain,
% 51.36/34.01 (~m_processor_v_snoop(c_p0, s4, c_shared)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[21061, 4096, 30245])).
% 51.36/34.01 tff(30249,plain,
% 51.36/34.01 (m_processor_v_REPLY_h_STALL(c_p0, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[22956, 30248, 1752, 1519, 1620, 30247, 30246])).
% 51.36/34.01 tff(30250,plain,
% 51.36/34.01 (~node60(c_p0, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[1368, 30249])).
% 51.36/34.01 tff(30251,plain,
% 51.36/34.01 (m_processor_v_abort(c_p0, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[1353, 30250])).
% 51.36/34.01 tff(30252,plain,
% 51.36/34.01 (node46(c_p0, s4, s5)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[23310, 30251])).
% 51.36/34.01 tff(30253,plain,
% 51.36/34.01 ($false),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[23293, 11708, 1193, 19452, 30252])).
% 51.36/34.01 tff(30254,plain,(m_processor_v_state(c_p0, s3, c_owned) | m_processor_v_waiting(c_p0, s5) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_memory_v_cmd(c_m, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | (~m_processor_v_snoop(c_p0, s3, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.01 tff(30255,plain,
% 51.36/34.01 (m_processor_v_state(c_p0, s3, c_owned)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[30254, 19541, 1752, 30244, 1193, 29096])).
% 51.36/34.01 tff(30256,plain,
% 51.36/34.01 (m_processor_v_snoop(c_p0, s4, c_invalid)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[29146, 30255, 29096, 6657])).
% 51.36/34.01 tff(30257,plain,
% 51.36/34.01 (~m_processor_v_snoop(c_p0, s4, c_owned)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[21056, 4071, 30256])).
% 51.36/34.01 tff(30258,plain,
% 51.36/34.01 (~m_processor_v_snoop(c_p0, s4, c_shared)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[21061, 4096, 30256])).
% 51.36/34.01 tff(30259,plain,
% 51.36/34.01 (~node52(c_p0, s4, s5)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[21695, 19457, 1193])).
% 51.36/34.01 tff(30260,plain,
% 51.36/34.01 (m_processor_v_REPLY_h_STALL(c_p0, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[22956, 30259, 1752, 1519, 1620, 22927, 19867])).
% 51.36/34.01 tff(30261,plain,
% 51.36/34.01 (~node60(c_p0, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[1368, 30260])).
% 51.36/34.01 tff(30262,plain,
% 51.36/34.01 (m_processor_v_abort(c_p0, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[1353, 30261])).
% 51.36/34.01 tff(30263,plain,
% 51.36/34.01 (node46(c_p0, s4, s5)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[23310, 30262])).
% 51.36/34.01 tff(30264,plain,
% 51.36/34.01 ($false),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[23293, 11708, 1193, 19457, 30263])).
% 51.36/34.01 tff(30265,plain,((~m_processor_v_waiting(c_p0, s4)) | m_processor_v_waiting(c_p0, s5) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_memory_v_cmd(c_m, s4, c_idle)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | m_processor_v_snoop(c_p0, s4, c_shared) | m_processor_v_snoop(c_p0, s4, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.01 tff(30266,plain,
% 51.36/34.01 (~m_processor_v_waiting(c_p0, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[30265, 19541, 1752, 30244, 1193, 30258, 30257])).
% 51.36/34.01 tff(30267,plain,
% 51.36/34.01 (~m_processor_v_state(c_p0, s3, c_shared)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[2661, 30255])).
% 51.36/34.01 tff(30268,plain,
% 51.36/34.01 (m_processor_v_writable(c_p0, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[23090, 30266])).
% 51.36/34.01 tff(30269,plain,
% 51.36/34.01 (node56(c_p0, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[67, 28, 30268])).
% 51.36/34.01 tff(30270,plain,
% 51.36/34.01 (~m_processor_v_state(c_p0, s2, c_invalid)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[11716, 30269, 22683, 29192, 30255, 6880, 30267, 30266])).
% 51.36/34.01 tff(30271,plain,
% 51.36/34.01 (m_processor_v_state(c_p1, s2, c_invalid)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[5074, 30270])).
% 51.36/34.01 tff(30272,plain,
% 51.36/34.01 (m_main_v_CMD(s2, c_read_h_owned)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[5372, 30271, 2595])).
% 51.36/34.01 tff(30273,plain,
% 51.36/34.01 (m_memory_v_CMD(c_m, s2, c_read_h_owned)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[9899, 30272])).
% 51.36/34.01 tff(30274,plain,
% 51.36/34.01 (~node30(c_m, s2)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[9907, 30273])).
% 51.36/34.01 tff(30275,plain,
% 51.36/34.01 (~node32(c_p1, s2, s3)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[5107, 30271, 2621])).
% 51.36/34.01 tff(30276,plain,
% 51.36/34.01 (~m_processor_v_abort(c_p1, s2)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[5121, 30275])).
% 51.36/34.01 tff(30277,plain,
% 51.36/34.01 (node60(c_p1, s2)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[9293, 30276])).
% 51.36/34.01 tff(30278,plain,
% 51.36/34.01 (~m_processor_v_REPLY_h_STALL(c_p1, s2)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[9301, 30277])).
% 51.36/34.01 tff(30279,plain,
% 51.36/34.01 (~m_main_v_REPLY_h_STALL(s2)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[9309, 30278])).
% 51.36/34.01 tff(30280,plain,
% 51.36/34.01 (node7(s2)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[9916, 30279])).
% 51.36/34.01 tff(30281,plain,
% 51.36/34.01 (~m_memory_v_reply_h_stall(c_m, s2)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[9924, 30280])).
% 51.36/34.01 tff(30282,plain,
% 51.36/34.01 (~m_memory_v_busy(c_m, s2)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[9933, 30281, 30274])).
% 51.36/34.01 tff(30283,plain,
% 51.36/34.01 (~m_memory_v_REPLY_h_STALL(c_m, s2)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[9940, 30279])).
% 51.36/34.01 tff(30284,plain,
% 51.36/34.01 (~node20(c_m, s2)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[9950, 30273])).
% 51.36/34.01 tff(30285,plain,
% 51.36/34.01 (~m_processor_v_state(c_p1, s2, c_shared)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[5081, 30271])).
% 51.36/34.01 tff(30286,plain,
% 51.36/34.01 (m_processor_v_master(c_p1, s2)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[5131, 30285, 2621, 30271])).
% 51.36/34.01 tff(30287,plain,
% 51.36/34.01 (~m_processor_v_master(c_p0, s2)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[5370, 794, 30286])).
% 51.36/34.01 tff(30288,plain,
% 51.36/34.01 (~node17(s2)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[5171, 30286])).
% 51.36/34.01 tff(30289,plain,
% 51.36/34.01 (~m_memory_v_master(c_m, s2)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[5179, 30288])).
% 51.36/34.01 tff(30290,plain,
% 51.36/34.01 (m_processor_v_CMD(c_p1, s2, c_read_h_owned)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[5401, 30272])).
% 51.36/34.01 tff(30291,plain,
% 51.36/34.01 (~node59(c_p1, s2)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[10308, 707, 30290])).
% 51.36/34.01 tff(30292,plain,
% 51.36/34.01 (~m_processor_v_REPLY_h_WAITING(c_p1, s2)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[9332, 30291, 30277])).
% 51.36/34.01 tff(30293,plain,
% 51.36/34.01 (~m_main_v_REPLY_h_WAITING(s2)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[9340, 30292])).
% 51.36/34.01 tff(30294,plain,
% 51.36/34.01 (~m_memory_v_REPLY_h_WAITING(c_m, s2)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[10301, 30293])).
% 51.36/34.01 tff(30295,plain,
% 51.36/34.01 (~node27(c_m, s2)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[10294, 30294])).
% 51.36/34.01 tff(30296,plain,
% 51.36/34.01 (m_memory_v_REPLY_h_OWNED(c_m, s2)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[10215, 30295, 30267, 22683, 6880, 30289, 2065, 30287, 30284, 30283])).
% 51.36/34.01 tff(30297,plain,
% 51.36/34.01 (m_processor_v_snoop(c_p1, s3, c_invalid)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[8655, 30286])).
% 51.36/34.01 tff(30298,plain,
% 51.36/34.01 (~node25(c_m, s2)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[9964, 30273])).
% 51.36/34.01 tff(30299,plain,
% 51.36/34.01 (m_processor_v_waiting(c_p1, s3)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[29201, 30271, 2595])).
% 51.36/34.01 tff(30300,plain,
% 51.36/34.01 (m_processor_v_waiting(c_p1, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[12330, 30295, 2595, 30284, 22687, 30266, 30299, 30282, 30298, 30283, 30297, 30289, 10644, 1752, 30287])).
% 51.36/34.01 tff(30301,plain,
% 51.36/34.01 (~node46(c_p1, s4, s5)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[19513, 19505, 19191])).
% 51.36/34.01 tff(30302,plain,
% 51.36/34.01 (~node52(c_p1, s4, s5)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[19535, 19505, 19191])).
% 51.36/34.01 tff(30303,plain,
% 51.36/34.01 (m_processor_v_abort(c_p1, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[22767, 30302, 2595, 6607, 1752, 29096, 1620, 19851, 9847, 19853])).
% 51.36/34.01 tff(30304,plain,
% 51.36/34.01 ($false),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[19521, 30303, 30301])).
% 51.36/34.01 tff(30305,plain,((~m_processor_v_waiting(c_p1, s4)) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | node48(c_p1, s4) | m_memory_v_busy(c_m, s3) | node47(c_p1, s4) | m_processor_v_waiting(c_p1, s5)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.01 tff(30306,plain,
% 51.36/34.01 (m_memory_v_busy(c_m, s3)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[30305, 30300, 6607, 1752, 19541, 19526, 2595, 19540, 19191])).
% 51.36/34.01 tff(30307,plain,
% 51.36/34.01 ($false),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[10452, 30306, 30296, 30282])).
% 51.36/34.01 tff(30308,plain,(m_processor_v_master(c_p1, s4) | m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_waiting(c_p1, s5) | m_memory_v_busy(c_m, s4) | m_processor_v_waiting(c_p0, s5) | m_processor_v_state(c_p1, s4, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.01 tff(30309,plain,
% 51.36/34.01 (m_processor_v_master(c_p1, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[30308, 19191, 1752, 2595, 6607, 2065, 1193, 6657])).
% 51.36/34.01 tff(30310,plain,
% 51.36/34.01 (~node16(s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[12622, 30309])).
% 51.36/34.01 tff(30311,plain,
% 51.36/34.01 (~m_processor_v_master(c_p2, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[1550, 30310])).
% 51.36/34.01 tff(30312,plain,
% 51.36/34.01 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[1582, 30311])).
% 51.36/34.01 tff(30313,plain,
% 51.36/34.01 (~m_processor_v_master(c_p0, s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[1437, 30309])).
% 51.36/34.01 tff(30314,plain,
% 51.36/34.01 (m_processor_v_cmd(c_p0, s4, c_idle)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[12616, 30313])).
% 51.36/34.01 tff(30315,plain,
% 51.36/34.01 (~m_processor_v_cmd(c_p1, s4, c_idle)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[12699, 30309, 30242, 22688, 22684])).
% 51.36/34.01 tff(30316,plain,
% 51.36/34.01 (~node9(s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[12703, 3443, 30315])).
% 51.36/34.01 tff(30317,plain,
% 51.36/34.01 (node10(s4)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[12714, 30316, 30244, 30314, 30312])).
% 51.36/34.01 tff(30318,assumption,(~m_processor_v_REPLY_h_WAITING(c_p2, s3)), introduced(assumption)).
% 51.36/34.01 tff(30319,plain,
% 51.36/34.01 (^[X: $i] : refl(((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p2, X)) <=> ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p2, X)))),
% 51.36/34.01 inference(bind,[status(th)],[])).
% 51.36/34.01 tff(30320,plain,
% 51.36/34.01 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p2, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p2, X))),
% 51.36/34.01 inference(quant_intro,[status(thm)],[30319])).
% 51.36/34.01 tff(30321,plain,
% 51.36/34.01 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p2, X)) <=> ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p2, X))),
% 51.36/34.01 inference(rewrite,[status(thm)],[])).
% 51.36/34.01 tff(30322,plain,
% 51.36/34.01 (^[X: $i] : rewrite((m_processor_v_REPLY_h_WAITING(c_p2, X) | (~m_main_v_REPLY_h_WAITING(X))) <=> ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p2, X)))),
% 51.36/34.01 inference(bind,[status(th)],[])).
% 51.36/34.01 tff(30323,plain,
% 51.36/34.01 (![X: $i] : (m_processor_v_REPLY_h_WAITING(c_p2, X) | (~m_main_v_REPLY_h_WAITING(X))) <=> ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p2, X))),
% 51.36/34.01 inference(quant_intro,[status(thm)],[30322])).
% 51.36/34.01 tff(30324,axiom,(![X: $i] : (m_processor_v_REPLY_h_WAITING(c_p2, X) | (~m_main_v_REPLY_h_WAITING(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_70')).
% 51.36/34.01 tff(30325,plain,
% 51.36/34.01 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p2, X))),
% 51.36/34.01 inference(modus_ponens,[status(thm)],[30324, 30323])).
% 51.36/34.01 tff(30326,plain,
% 51.36/34.01 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p2, X))),
% 51.36/34.01 inference(modus_ponens,[status(thm)],[30325, 30321])).
% 51.36/34.01 tff(30327,plain,(
% 51.36/34.01 ![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p2, X))),
% 51.36/34.01 inference(skolemize,[status(sab)],[30326])).
% 51.36/34.01 tff(30328,plain,
% 51.36/34.01 (![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p2, X))),
% 51.36/34.01 inference(modus_ponens,[status(thm)],[30327, 30320])).
% 51.36/34.01 tff(30329,plain,
% 51.36/34.01 (((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p2, X))) | ((~m_main_v_REPLY_h_WAITING(s3)) | m_processor_v_REPLY_h_WAITING(c_p2, s3))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p2, X))) | (~m_main_v_REPLY_h_WAITING(s3)) | m_processor_v_REPLY_h_WAITING(c_p2, s3))),
% 51.36/34.01 inference(rewrite,[status(thm)],[])).
% 51.36/34.01 tff(30330,plain,
% 51.36/34.01 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p2, X))) | ((~m_main_v_REPLY_h_WAITING(s3)) | m_processor_v_REPLY_h_WAITING(c_p2, s3))),
% 51.36/34.01 inference(quant_inst,[status(thm)],[])).
% 51.36/34.01 tff(30331,plain,
% 51.36/34.01 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p2, X))) | (~m_main_v_REPLY_h_WAITING(s3)) | m_processor_v_REPLY_h_WAITING(c_p2, s3)),
% 51.36/34.01 inference(modus_ponens,[status(thm)],[30330, 30329])).
% 51.36/34.01 tff(30332,plain,
% 51.36/34.01 ($false),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[30331, 30328, 11846, 30318])).
% 51.36/34.01 tff(30333,plain,(m_processor_v_REPLY_h_WAITING(c_p2, s3) | (~m_main_v_REPLY_h_WAITING(s3))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.01 tff(30334,plain,
% 51.36/34.01 (m_processor_v_REPLY_h_WAITING(c_p2, s3)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[30333, 11883])).
% 51.36/34.01 tff(30335,plain,
% 51.36/34.01 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p2, s3)) | node59(c_p2, s3) | (~node60(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p2, s3)) | node59(c_p2, s3) | (~node60(c_p2, s3)))),
% 51.36/34.01 inference(rewrite,[status(thm)],[])).
% 51.36/34.01 tff(30336,plain,
% 51.36/34.01 ((node59(c_p2, s3) | (~node60(c_p2, s3)) | (~m_processor_v_REPLY_h_WAITING(c_p2, s3))) <=> ((~m_processor_v_REPLY_h_WAITING(c_p2, s3)) | node59(c_p2, s3) | (~node60(c_p2, s3)))),
% 51.36/34.01 inference(rewrite,[status(thm)],[])).
% 51.36/34.01 tff(30337,plain,
% 51.36/34.01 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p2, s3) | (~node60(c_p2, s3)) | (~m_processor_v_REPLY_h_WAITING(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p2, s3)) | node59(c_p2, s3) | (~node60(c_p2, s3))))),
% 51.36/34.01 inference(monotonicity,[status(thm)],[30336])).
% 51.36/34.01 tff(30338,plain,
% 51.36/34.01 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p2, s3) | (~node60(c_p2, s3)) | (~m_processor_v_REPLY_h_WAITING(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p2, s3)) | node59(c_p2, s3) | (~node60(c_p2, s3)))),
% 51.36/34.01 inference(transitivity,[status(thm)],[30337, 30335])).
% 51.36/34.01 tff(30339,plain,
% 51.36/34.01 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p2, s3) | (~node60(c_p2, s3)) | (~m_processor_v_REPLY_h_WAITING(c_p2, s3)))),
% 51.36/34.01 inference(quant_inst,[status(thm)],[])).
% 51.36/34.01 tff(30340,plain,
% 51.36/34.01 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p2, s3)) | node59(c_p2, s3) | (~node60(c_p2, s3))),
% 51.36/34.01 inference(modus_ponens,[status(thm)],[30339, 30338])).
% 51.36/34.01 tff(30341,plain,
% 51.36/34.01 ((~m_processor_v_REPLY_h_WAITING(c_p2, s3)) | node59(c_p2, s3)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[30340, 724, 29014])).
% 51.36/34.01 tff(30342,plain,
% 51.36/34.01 (node59(c_p2, s3)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[30341, 30334])).
% 51.36/34.01 tff(30343,plain,
% 51.36/34.01 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p2, s3, c_read_h_shared)) | (~node59(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p2, s3, c_read_h_shared)) | (~node59(c_p2, s3)))),
% 51.36/34.01 inference(rewrite,[status(thm)],[])).
% 51.36/34.01 tff(30344,plain,
% 51.36/34.01 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p2, s3, c_read_h_shared)) | (~node59(c_p2, s3)))),
% 51.36/34.01 inference(quant_inst,[status(thm)],[])).
% 51.36/34.01 tff(30345,plain,
% 51.36/34.01 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p2, s3, c_read_h_shared)) | (~node59(c_p2, s3))),
% 51.36/34.01 inference(modus_ponens,[status(thm)],[30344, 30343])).
% 51.36/34.01 tff(30346,plain,
% 51.36/34.01 (~m_processor_v_CMD(c_p2, s3, c_read_h_shared)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[30345, 3834, 30342])).
% 51.36/34.01 tff(30347,plain,
% 51.36/34.01 (^[V: $i, X: $i] : refl(((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V)) <=> ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V)))),
% 51.36/34.01 inference(bind,[status(th)],[])).
% 51.36/34.01 tff(30348,plain,
% 51.36/34.01 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V)) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V))),
% 51.36/34.01 inference(quant_intro,[status(thm)],[30347])).
% 51.36/34.01 tff(30349,plain,
% 51.36/34.01 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V)) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V))),
% 51.36/34.01 inference(rewrite,[status(thm)],[])).
% 51.36/34.01 tff(30350,plain,
% 51.36/34.01 (^[V: $i, X: $i] : trans(monotonicity(rewrite((m_processor_v_CMD(c_p2, X, V) | (~m_main_v_CMD(X, V))) <=> ((~m_main_v_CMD(X, V)) | m_processor_v_CMD(c_p2, X, V))), (((m_processor_v_CMD(c_p2, X, V) | (~m_main_v_CMD(X, V))) | (~node4(X))) <=> (((~m_main_v_CMD(X, V)) | m_processor_v_CMD(c_p2, X, V)) | (~node4(X))))), rewrite((((~m_main_v_CMD(X, V)) | m_processor_v_CMD(c_p2, X, V)) | (~node4(X))) <=> ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V))), (((m_processor_v_CMD(c_p2, X, V) | (~m_main_v_CMD(X, V))) | (~node4(X))) <=> ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V))))),
% 51.36/34.01 inference(bind,[status(th)],[])).
% 51.36/34.01 tff(30351,plain,
% 51.36/34.01 (![V: $i, X: $i] : ((m_processor_v_CMD(c_p2, X, V) | (~m_main_v_CMD(X, V))) | (~node4(X))) <=> ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V))),
% 51.36/34.01 inference(quant_intro,[status(thm)],[30350])).
% 51.36/34.01 tff(30352,axiom,(![V: $i, X: $i] : ((m_processor_v_CMD(c_p2, X, V) | (~m_main_v_CMD(X, V))) | (~node4(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','m_main_65')).
% 51.36/34.01 tff(30353,plain,
% 51.36/34.01 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V))),
% 51.36/34.01 inference(modus_ponens,[status(thm)],[30352, 30351])).
% 51.36/34.01 tff(30354,plain,
% 51.36/34.01 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V))),
% 51.36/34.01 inference(modus_ponens,[status(thm)],[30353, 30349])).
% 51.36/34.01 tff(30355,plain,(
% 51.36/34.01 ![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V))),
% 51.36/34.01 inference(skolemize,[status(sab)],[30354])).
% 51.36/34.01 tff(30356,plain,
% 51.36/34.01 (![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V))),
% 51.36/34.01 inference(modus_ponens,[status(thm)],[30355, 30348])).
% 51.36/34.01 tff(30357,plain,
% 51.36/34.01 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V))) | ((~node4(s3)) | (~m_main_v_CMD(s3, c_read_h_shared)) | m_processor_v_CMD(c_p2, s3, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V))) | (~node4(s3)) | (~m_main_v_CMD(s3, c_read_h_shared)) | m_processor_v_CMD(c_p2, s3, c_read_h_shared))),
% 51.36/34.01 inference(rewrite,[status(thm)],[])).
% 51.36/34.01 tff(30358,plain,
% 51.36/34.01 (((~m_main_v_CMD(s3, c_read_h_shared)) | (~node4(s3)) | m_processor_v_CMD(c_p2, s3, c_read_h_shared)) <=> ((~node4(s3)) | (~m_main_v_CMD(s3, c_read_h_shared)) | m_processor_v_CMD(c_p2, s3, c_read_h_shared))),
% 51.36/34.01 inference(rewrite,[status(thm)],[])).
% 51.36/34.01 tff(30359,plain,
% 51.36/34.01 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~node4(s3)) | m_processor_v_CMD(c_p2, s3, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V))) | ((~node4(s3)) | (~m_main_v_CMD(s3, c_read_h_shared)) | m_processor_v_CMD(c_p2, s3, c_read_h_shared)))),
% 51.36/34.01 inference(monotonicity,[status(thm)],[30358])).
% 51.36/34.01 tff(30360,plain,
% 51.36/34.01 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~node4(s3)) | m_processor_v_CMD(c_p2, s3, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V))) | (~node4(s3)) | (~m_main_v_CMD(s3, c_read_h_shared)) | m_processor_v_CMD(c_p2, s3, c_read_h_shared))),
% 51.36/34.01 inference(transitivity,[status(thm)],[30359, 30357])).
% 51.36/34.01 tff(30361,plain,
% 51.36/34.01 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V))) | ((~m_main_v_CMD(s3, c_read_h_shared)) | (~node4(s3)) | m_processor_v_CMD(c_p2, s3, c_read_h_shared))),
% 51.36/34.01 inference(quant_inst,[status(thm)],[])).
% 51.36/34.01 tff(30362,plain,
% 51.36/34.01 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V))) | (~node4(s3)) | (~m_main_v_CMD(s3, c_read_h_shared)) | m_processor_v_CMD(c_p2, s3, c_read_h_shared)),
% 51.36/34.01 inference(modus_ponens,[status(thm)],[30361, 30360])).
% 51.36/34.01 tff(30363,plain,
% 51.36/34.01 (~m_main_v_CMD(s3, c_read_h_shared)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[30362, 30356, 21563, 30346])).
% 51.36/34.01 tff(30364,plain,
% 51.36/34.01 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[11528, 30363])).
% 51.36/34.01 tff(30365,plain,
% 51.36/34.01 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p2, s3, c_read_h_owned)) | (~node59(c_p2, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p2, s3, c_read_h_owned)) | (~node59(c_p2, s3)))),
% 51.36/34.01 inference(rewrite,[status(thm)],[])).
% 51.36/34.01 tff(30366,plain,
% 51.36/34.01 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p2, s3, c_read_h_owned)) | (~node59(c_p2, s3)))),
% 51.36/34.01 inference(quant_inst,[status(thm)],[])).
% 51.36/34.01 tff(30367,plain,
% 51.36/34.01 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p2, s3, c_read_h_owned)) | (~node59(c_p2, s3))),
% 51.36/34.01 inference(modus_ponens,[status(thm)],[30366, 30365])).
% 51.36/34.01 tff(30368,plain,
% 51.36/34.01 (~m_processor_v_CMD(c_p2, s3, c_read_h_owned)),
% 51.36/34.01 inference(unit_resolution,[status(thm)],[30367, 707, 30342])).
% 51.36/34.01 tff(30369,plain,
% 51.36/34.01 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V))) | ((~node4(s3)) | (~m_main_v_CMD(s3, c_read_h_owned)) | m_processor_v_CMD(c_p2, s3, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V))) | (~node4(s3)) | (~m_main_v_CMD(s3, c_read_h_owned)) | m_processor_v_CMD(c_p2, s3, c_read_h_owned))),
% 51.36/34.01 inference(rewrite,[status(thm)],[])).
% 51.36/34.01 tff(30370,plain,
% 51.36/34.01 (((~m_main_v_CMD(s3, c_read_h_owned)) | (~node4(s3)) | m_processor_v_CMD(c_p2, s3, c_read_h_owned)) <=> ((~node4(s3)) | (~m_main_v_CMD(s3, c_read_h_owned)) | m_processor_v_CMD(c_p2, s3, c_read_h_owned))),
% 51.36/34.01 inference(rewrite,[status(thm)],[])).
% 51.36/34.01 tff(30371,plain,
% 51.36/34.01 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~node4(s3)) | m_processor_v_CMD(c_p2, s3, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V))) | ((~node4(s3)) | (~m_main_v_CMD(s3, c_read_h_owned)) | m_processor_v_CMD(c_p2, s3, c_read_h_owned)))),
% 51.36/34.01 inference(monotonicity,[status(thm)],[30370])).
% 51.36/34.01 tff(30372,plain,
% 51.36/34.01 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~node4(s3)) | m_processor_v_CMD(c_p2, s3, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V))) | (~node4(s3)) | (~m_main_v_CMD(s3, c_read_h_owned)) | m_processor_v_CMD(c_p2, s3, c_read_h_owned))),
% 51.36/34.01 inference(transitivity,[status(thm)],[30371, 30369])).
% 51.36/34.01 tff(30373,plain,
% 51.36/34.01 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~node4(s3)) | m_processor_v_CMD(c_p2, s3, c_read_h_owned))),
% 51.36/34.01 inference(quant_inst,[status(thm)],[])).
% 51.36/34.01 tff(30374,plain,
% 51.36/34.01 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V))) | (~node4(s3)) | (~m_main_v_CMD(s3, c_read_h_owned)) | m_processor_v_CMD(c_p2, s3, c_read_h_owned)),
% 51.36/34.01 inference(modus_ponens,[status(thm)],[30373, 30372])).
% 51.36/34.02 tff(30375,plain,
% 51.36/34.02 (~m_main_v_CMD(s3, c_read_h_owned)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[30374, 30356, 21563, 30368])).
% 51.36/34.02 tff(30376,plain,
% 51.36/34.02 (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[10546, 30375])).
% 51.36/34.02 tff(30377,plain,
% 51.36/34.02 ($false),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[11890, 30376, 30364, 11862])).
% 51.36/34.02 tff(30378,plain,((~node61(c_p0, s3)) | (~node60(c_p2, s3))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.02 tff(30379,plain,
% 51.36/34.02 (~node61(c_p0, s3)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[30378, 29013])).
% 51.36/34.02 tff(30380,plain,
% 51.36/34.02 (~m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[11826, 29037])).
% 51.36/34.02 tff(30381,plain,
% 51.36/34.02 (~m_processor_v_abort(c_p0, s3)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[11875, 30380, 30379])).
% 51.36/34.02 tff(30382,plain,
% 51.36/34.02 (node60(c_p0, s3)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[10486, 30381])).
% 51.36/34.02 tff(30383,plain,
% 51.36/34.02 (~m_processor_v_abort(c_p1, s3)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[29126, 28998, 30382])).
% 51.36/34.02 tff(30384,plain,
% 51.36/34.02 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[9533, 416, 6889, 28996])).
% 51.36/34.02 tff(30385,plain,
% 51.36/34.02 (~m_main_v_CMD(s3, c_read_h_shared)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[9548, 30384])).
% 51.36/34.02 tff(30386,plain,
% 51.36/34.02 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[10595, 30385])).
% 51.36/34.02 tff(30387,plain,
% 51.36/34.02 (~node40(c_p1, s3)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[12736, 8367, 30386])).
% 51.36/34.02 tff(30388,plain,
% 51.36/34.02 (~node41(c_p1, s3)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[12740, 8378, 30386])).
% 51.36/34.02 tff(30389,plain,
% 51.36/34.02 (~node48(c_p0, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[17697, 11562, 12595])).
% 51.36/34.02 tff(30390,plain,
% 51.36/34.02 (~node47(c_p0, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[17643, 12108, 12595])).
% 51.36/34.02 tff(30391,plain,
% 51.36/34.02 ($false),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[23293, 11708, 1193, 19457, 23287])).
% 51.36/34.02 tff(30392,plain,((~node46(c_p0, s4, s5)) | m_processor_v_waiting(c_p0, s5) | (~m_processor_v_waiting(c_p0, s4))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.02 tff(30393,plain,
% 51.36/34.02 (~node46(c_p0, s4, s5)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[30392, 19452, 1193])).
% 51.36/34.02 tff(30394,plain,
% 51.36/34.02 (~m_processor_v_abort(c_p0, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[23310, 30393])).
% 51.36/34.02 tff(30395,assumption,(~node47(c_p0, s4)), introduced(assumption)).
% 51.36/34.02 tff(30396,plain,
% 51.36/34.02 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)))),
% 51.36/34.02 inference(rewrite,[status(thm)],[])).
% 51.36/34.02 tff(30397,plain,
% 51.36/34.02 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)))),
% 51.36/34.02 inference(quant_inst,[status(thm)],[])).
% 51.36/34.02 tff(30398,plain,
% 51.36/34.02 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared))),
% 51.36/34.02 inference(modus_ponens,[status(thm)],[30397, 30396])).
% 51.36/34.02 tff(30399,plain,
% 51.36/34.02 (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[30398, 17036, 17215])).
% 51.36/34.02 tff(30400,plain,
% 51.36/34.02 (~m_main_v_CMD(s4, c_write_h_resp_h_shared)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[22575, 3512, 30399, 12869])).
% 51.36/34.02 tff(30401,plain,
% 51.36/34.02 (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_shared)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[21801, 30400])).
% 51.36/34.02 tff(30402,plain,
% 51.36/34.02 (~node51(c_p0, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[21797, 30401])).
% 51.36/34.02 tff(30403,assumption,(~node48(c_p0, s4)), introduced(assumption)).
% 51.36/34.02 tff(30404,plain,
% 51.36/34.02 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p1, s4, c_response)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p1, s4, c_response)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)))),
% 51.36/34.02 inference(rewrite,[status(thm)],[])).
% 51.36/34.02 tff(30405,plain,
% 51.36/34.02 (((~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)) | (~m_processor_v_cmd(c_p1, s4, c_response))) <=> ((~m_processor_v_cmd(c_p1, s4, c_response)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)))),
% 51.36/34.02 inference(rewrite,[status(thm)],[])).
% 51.36/34.02 tff(30406,plain,
% 51.36/34.02 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)) | (~m_processor_v_cmd(c_p1, s4, c_response)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p1, s4, c_response)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid))))),
% 51.36/34.02 inference(monotonicity,[status(thm)],[30405])).
% 51.36/34.02 tff(30407,plain,
% 51.36/34.02 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)) | (~m_processor_v_cmd(c_p1, s4, c_response)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p1, s4, c_response)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)))),
% 51.36/34.02 inference(transitivity,[status(thm)],[30406, 30404])).
% 51.36/34.02 tff(30408,plain,
% 51.36/34.02 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)) | (~m_processor_v_cmd(c_p1, s4, c_response)))),
% 51.36/34.02 inference(quant_inst,[status(thm)],[])).
% 51.36/34.02 tff(30409,plain,
% 51.36/34.02 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p1, s4, c_response)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid))),
% 51.36/34.02 inference(modus_ponens,[status(thm)],[30408, 30407])).
% 51.36/34.02 tff(30410,plain,
% 51.36/34.02 (~m_processor_v_cmd(c_p1, s4, c_response)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[30409, 21084, 17215])).
% 51.36/34.02 tff(30411,plain,
% 51.36/34.02 (~m_main_v_CMD(s4, c_response)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[22614, 3512, 12869, 30410])).
% 51.36/34.02 tff(30412,plain,
% 51.36/34.02 (~m_processor_v_CMD(c_p0, s4, c_response)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[17628, 30411])).
% 51.36/34.02 tff(30413,plain,
% 51.36/34.02 (~node49(c_p0, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[17639, 30412])).
% 51.36/34.02 tff(30414,plain,
% 51.36/34.02 (~m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_invalid)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[12924, 10666, 17215])).
% 51.36/34.02 tff(30415,plain,
% 51.36/34.02 (~m_main_v_CMD(s4, c_write_h_resp_h_invalid)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[12920, 3512, 30414, 12869])).
% 51.36/34.02 tff(30416,plain,
% 51.36/34.02 (~m_processor_v_CMD(c_p0, s4, c_write_h_resp_h_invalid)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[17661, 30415])).
% 51.36/34.02 tff(30417,plain,
% 51.36/34.02 (~node50(c_p0, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[17669, 30416])).
% 51.36/34.02 tff(30418,plain,
% 51.36/34.02 ($false),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[16905, 30417, 30413, 30403, 1151, 30402, 30395, 21728])).
% 51.36/34.02 tff(30419,plain,((~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)) | node48(c_p0, s4) | m_processor_v_abort(c_p0, s4) | node47(c_p0, s4) | node52(c_p0, s4, s5) | (~node10(s4))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.02 tff(30420,plain,
% 51.36/34.02 (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[30419, 30394, 30247, 30390, 12869, 30389])).
% 51.36/34.02 tff(30421,assumption,(m_processor_v_snoop(c_p1, s4, c_invalid)), introduced(assumption)).
% 51.36/34.02 tff(30422,plain,
% 51.36/34.02 (~m_processor_v_snoop(c_p1, s4, c_shared)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[17464, 4096, 30421])).
% 51.36/34.02 tff(30423,plain,
% 51.36/34.02 (~node65(c_p1, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[12663, 4107, 30422])).
% 51.36/34.02 tff(30424,plain,
% 51.36/34.02 (~m_processor_v_snoop(c_p1, s4, c_owned)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[17457, 4071, 30421])).
% 51.36/34.02 tff(30425,plain,
% 51.36/34.02 (~node64(c_p1, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[12697, 4082, 30424])).
% 51.36/34.02 tff(30426,plain,
% 51.36/34.02 (m_processor_v_cmd(c_p1, s4, c_write_h_invalid) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node64(c_p1, s4) | (~m_processor_v_snoop(c_p1, s4, c_invalid)) | node65(c_p1, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[12670, 7232, 6605, 12634])).
% 51.36/34.02 tff(30427,plain,
% 51.36/34.02 ($false),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[30426, 30425, 30423, 1432, 12629, 12658, 30421])).
% 51.36/34.02 tff(30428,plain,((~m_processor_v_snoop(c_p1, s4, c_invalid)) | (~m_processor_v_master(c_p1, s4)) | m_processor_v_cmd(c_p1, s4, c_write_h_invalid) | (~m_processor_v_state(c_p1, s4, c_owned)) | node63(c_p1, s4)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.02 tff(30429,plain,
% 51.36/34.02 (~m_processor_v_snoop(c_p1, s4, c_invalid)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[30428, 30420, 22684, 12634, 1432])).
% 51.36/34.02 tff(30430,plain,
% 51.36/34.02 (~m_processor_v_snoop(c_p1, s3, c_invalid)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[17453, 30429, 6607, 30388, 30387])).
% 51.36/34.02 tff(30431,plain,
% 51.36/34.02 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[12774, 12660, 2595, 6607, 6710])).
% 51.36/34.02 tff(30432,plain,
% 51.36/34.02 (node44(c_p1, s3, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[12754, 30431, 6710, 12931, 12930])).
% 51.36/34.02 tff(30433,plain,
% 51.36/34.02 (((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p1, s3, c_invalid) | (~m_processor_v_snoop(c_p1, s4, c_invalid)) | (~node44(c_p1, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p1, s3, c_invalid) | (~m_processor_v_snoop(c_p1, s4, c_invalid)) | (~node44(c_p1, s3, s4)))),
% 51.36/34.02 inference(rewrite,[status(thm)],[])).
% 51.36/34.02 tff(30434,plain,
% 51.36/34.02 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | (m_processor_v_snoop(c_p1, s3, c_invalid) | (~m_processor_v_snoop(c_p1, s4, c_invalid)) | (~node44(c_p1, s3, s4)))),
% 51.36/34.02 inference(quant_inst,[status(thm)],[])).
% 51.36/34.02 tff(30435,plain,
% 51.36/34.02 ((~![V: $i, Y: $i, I0: $i, X: $i] : (m_processor_v_snoop(I0, X, V) | (~m_processor_v_snoop(I0, Y, V)) | (~node44(I0, X, Y)))) | m_processor_v_snoop(c_p1, s3, c_invalid) | (~m_processor_v_snoop(c_p1, s4, c_invalid)) | (~node44(c_p1, s3, s4))),
% 51.36/34.02 inference(modus_ponens,[status(thm)],[30434, 30433])).
% 51.36/34.02 tff(30436,plain,
% 51.36/34.02 ($false),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[30435, 10976, 7455, 30421, 12760])).
% 51.36/34.02 tff(30437,plain,((~m_processor_v_snoop(c_p1, s4, c_invalid)) | m_processor_v_snoop(c_p1, s3, c_invalid) | (~node44(c_p1, s3, s4))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.02 tff(30438,plain,
% 51.36/34.02 (~m_processor_v_snoop(c_p1, s4, c_invalid)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[30437, 7455, 30432])).
% 51.36/34.02 tff(30439,plain,
% 51.36/34.02 (m_processor_v_snoop(c_p1, s4, c_owned)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[17449, 30438, 12660])).
% 51.36/34.02 tff(30440,plain,
% 51.36/34.02 (m_processor_v_snoop(c_p1, s3, c_owned)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[12944, 30439, 2595, 6710, 6607])).
% 51.36/34.02 tff(30441,plain,
% 51.36/34.02 (~m_processor_v_snoop(c_p1, s3, c_shared)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[8778, 8775, 30440])).
% 51.36/34.02 tff(30442,plain,
% 51.36/34.02 (node40(c_p1, s2)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[8780, 8614, 8588, 8656, 22773])).
% 51.36/34.02 tff(30443,plain,
% 51.36/34.02 (m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[8784, 8367, 30442])).
% 51.36/34.02 tff(30444,plain,
% 51.36/34.02 ($false),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[8749, 30443, 30441, 22773, 8656, 8614])).
% 51.36/34.02 tff(30445,plain,(m_processor_v_snoop(c_p1, s3, c_invalid) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_abort(c_p1, s3) | m_processor_v_master(c_p1, s3) | m_processor_v_snoop(c_p1, s4, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.02 tff(30446,plain,
% 51.36/34.02 (m_processor_v_snoop(c_p1, s4, c_shared)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[30445, 30430, 30383, 6607, 2595])).
% 51.36/34.02 tff(30447,plain,
% 51.36/34.02 (~m_processor_v_snoop(c_p1, s4, c_owned)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[12942, 8775, 30446])).
% 51.36/34.02 tff(30448,plain,
% 51.36/34.02 (~node64(c_p1, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[12697, 4082, 30447])).
% 51.36/34.02 tff(30449,plain,
% 51.36/34.02 ((~m_processor_v_state(c_p1, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node64(c_p1, s4) | m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared) | (~m_processor_v_snoop(c_p1, s4, c_shared))),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[12690, 7256, 12634])).
% 51.36/34.02 tff(30450,plain,
% 51.36/34.02 (m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[30449, 30448, 1432, 22684, 30446, 22688])).
% 51.36/34.02 tff(30451,plain,
% 51.36/34.02 (m_main_v_CMD(s4, c_write_h_resp_h_shared)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[12879, 30450, 12869])).
% 51.36/34.02 tff(30452,plain,
% 51.36/34.02 (~m_main_v_CMD(s4, c_read_h_owned)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[20065, 7940, 30451])).
% 51.36/34.02 tff(30453,plain,
% 51.36/34.02 (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[2280, 30452])).
% 51.36/34.02 tff(30454,plain,
% 51.36/34.02 (~node34(c_p1, s4, s5)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[21834, 30453, 559, 160, 12869, 22688, 1432, 12634, 22684])).
% 51.36/34.02 tff(30455,plain,
% 51.36/34.02 (node60(c_p0, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[1353, 30394])).
% 51.36/34.02 tff(30456,plain,
% 51.36/34.02 (~m_processor_v_abort(c_p1, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[23079, 30453, 30455])).
% 51.36/34.02 tff(30457,plain,
% 51.36/34.02 ($false),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[17176, 30456, 30454, 1432])).
% 51.36/34.02 tff(30458,plain,(m_processor_v_state(c_p0, s3, c_owned) | (~m_processor_v_master(c_p1, s4)) | m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_state(c_p1, s5, c_shared) | (~node10(s4)) | node63(c_p1, s4) | m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_waiting(c_p0, s5) | (~m_processor_v_state(c_p0, s4, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.02 tff(30459,plain,
% 51.36/34.02 (m_processor_v_state(c_p0, s3, c_owned)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[30458, 30309, 559, 160, 30317, 30242, 6607, 2595, 1193, 1752])).
% 51.36/34.02 tff(30460,plain,
% 51.36/34.02 (~m_main_v_CMD(s3, c_read_h_shared)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[11518, 30459, 22683, 29192])).
% 51.36/34.02 tff(30461,plain,
% 51.36/34.02 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[10595, 30460])).
% 51.36/34.02 tff(30462,plain,
% 51.36/34.02 (~node40(c_p1, s3)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[12736, 8367, 30461])).
% 51.36/34.02 tff(30463,plain,
% 51.36/34.02 (~node41(c_p1, s3)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[12740, 8378, 30461])).
% 51.36/34.02 tff(30464,plain,
% 51.36/34.02 (~node48(c_p0, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[17697, 11562, 30313])).
% 51.36/34.02 tff(30465,plain,
% 51.36/34.02 (~node47(c_p0, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[17643, 12108, 30313])).
% 51.36/34.02 tff(30466,plain,
% 51.36/34.02 (~m_main_v_CMD(s3, c_read_h_shared)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[11518, 2652, 22683, 29192])).
% 51.36/34.02 tff(30467,plain,
% 51.36/34.02 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[10595, 30466])).
% 51.36/34.02 tff(30468,plain,
% 51.36/34.02 (~node40(c_p1, s3)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[12736, 8367, 30467])).
% 51.36/34.02 tff(30469,plain,
% 51.36/34.02 (~node41(c_p1, s3)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[12740, 8378, 30467])).
% 51.36/34.02 tff(30470,plain,
% 51.36/34.02 (~m_processor_v_state(c_p0, s2, c_invalid)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[11716, 23092, 22683, 29192, 2652, 6880, 2662, 9816])).
% 51.36/34.02 tff(30471,plain,
% 51.36/34.02 (m_processor_v_state(c_p1, s2, c_invalid)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[5074, 30470])).
% 51.36/34.02 tff(30472,plain,
% 51.36/34.02 (~m_processor_v_state(c_p1, s2, c_shared)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[5081, 30471])).
% 51.36/34.02 tff(30473,plain,
% 51.36/34.02 (m_processor_v_master(c_p1, s2)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[5131, 30472, 2621, 30471])).
% 51.36/34.02 tff(30474,plain,
% 51.36/34.02 (m_processor_v_snoop(c_p1, s3, c_invalid)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[8655, 30473])).
% 51.36/34.02 tff(30475,plain,
% 51.36/34.02 (m_processor_v_snoop(c_p1, s4, c_invalid)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[17453, 30474, 6607, 30469, 30468])).
% 51.36/34.02 tff(30476,plain,
% 51.36/34.02 (m_processor_v_cmd(c_p1, s4, c_write_h_invalid)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[30428, 30475, 22684, 12634, 1432])).
% 51.36/34.02 tff(30477,plain,
% 51.36/34.02 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s4, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p1, s4, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)))),
% 51.36/34.02 inference(rewrite,[status(thm)],[])).
% 51.36/34.02 tff(30478,plain,
% 51.36/34.02 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p1, s4, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)))),
% 51.36/34.02 inference(quant_inst,[status(thm)],[])).
% 51.36/34.02 tff(30479,plain,
% 51.36/34.02 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p1, s4, c_read_h_owned)) | (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid))),
% 51.36/34.02 inference(modus_ponens,[status(thm)],[30478, 30477])).
% 51.36/34.02 tff(30480,plain,
% 51.36/34.02 (~m_processor_v_cmd(c_p1, s4, c_read_h_owned)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[30479, 3716, 30476])).
% 51.36/34.02 tff(30481,plain,
% 51.36/34.02 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_read_h_owned) | (~m_main_v_CMD(s4, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_read_h_owned) | (~m_main_v_CMD(s4, c_read_h_owned)))),
% 51.36/34.02 inference(rewrite,[status(thm)],[])).
% 51.36/34.02 tff(30482,plain,
% 51.36/34.02 (((~m_main_v_CMD(s4, c_read_h_owned)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_read_h_owned)) <=> ((~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_read_h_owned) | (~m_main_v_CMD(s4, c_read_h_owned)))),
% 51.36/34.02 inference(rewrite,[status(thm)],[])).
% 51.36/34.02 tff(30483,plain,
% 51.36/34.02 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_read_h_owned)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_read_h_owned) | (~m_main_v_CMD(s4, c_read_h_owned))))),
% 51.36/34.02 inference(monotonicity,[status(thm)],[30482])).
% 51.36/34.02 tff(30484,plain,
% 51.36/34.02 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_read_h_owned)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_read_h_owned) | (~m_main_v_CMD(s4, c_read_h_owned)))),
% 51.36/34.02 inference(transitivity,[status(thm)],[30483, 30481])).
% 51.36/34.02 tff(30485,plain,
% 51.36/34.02 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s4, c_read_h_owned)) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_read_h_owned))),
% 51.36/34.02 inference(quant_inst,[status(thm)],[])).
% 51.36/34.02 tff(30486,plain,
% 51.36/34.02 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~node10(s4)) | m_processor_v_cmd(c_p1, s4, c_read_h_owned) | (~m_main_v_CMD(s4, c_read_h_owned))),
% 51.36/34.02 inference(modus_ponens,[status(thm)],[30485, 30484])).
% 51.36/34.02 tff(30487,plain,
% 51.36/34.02 (~m_main_v_CMD(s4, c_read_h_owned)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[30486, 3512, 12869, 30480])).
% 51.36/34.02 tff(30488,plain,
% 51.36/34.02 (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[2280, 30487])).
% 51.36/34.02 tff(30489,plain,
% 51.36/34.02 (~node34(c_p1, s4, s5)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[21834, 30488, 559, 160, 12869, 22688, 1432, 12634, 22684])).
% 51.36/34.02 tff(30490,plain,
% 51.36/34.02 (m_processor_v_abort(c_p1, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[17176, 30489, 1432])).
% 51.36/34.02 tff(30491,plain,
% 51.36/34.02 (node46(c_p1, s4, s5)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[19521, 30490])).
% 51.36/34.02 tff(30492,plain,
% 51.36/34.02 (~m_processor_v_master(c_p0, s2)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[5370, 794, 30473])).
% 51.36/34.02 tff(30493,plain,
% 51.36/34.02 (~node17(s2)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[5171, 30473])).
% 51.36/34.02 tff(30494,plain,
% 51.36/34.02 (~m_memory_v_master(c_m, s2)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[5179, 30493])).
% 51.36/34.02 tff(30495,plain,
% 51.36/34.02 (~node32(c_p1, s2, s3)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[5107, 30471, 2621])).
% 51.36/34.02 tff(30496,plain,
% 51.36/34.02 (~m_processor_v_abort(c_p1, s2)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[5121, 30495])).
% 51.36/34.02 tff(30497,plain,
% 51.36/34.02 (node60(c_p1, s2)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[9293, 30496])).
% 51.36/34.02 tff(30498,plain,
% 51.36/34.02 (~m_processor_v_REPLY_h_STALL(c_p1, s2)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[9301, 30497])).
% 51.36/34.02 tff(30499,plain,
% 51.36/34.02 (~m_main_v_REPLY_h_STALL(s2)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[9309, 30498])).
% 51.36/34.02 tff(30500,plain,
% 51.36/34.02 (~m_memory_v_REPLY_h_STALL(c_m, s2)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[9940, 30499])).
% 51.36/34.02 tff(30501,plain,
% 51.36/34.02 (m_main_v_CMD(s2, c_read_h_owned)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[5372, 30471, 2595])).
% 51.36/34.02 tff(30502,plain,
% 51.36/34.02 (m_memory_v_CMD(c_m, s2, c_read_h_owned)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[9899, 30501])).
% 51.36/34.02 tff(30503,plain,
% 51.36/34.02 (~node25(c_m, s2)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[9964, 30502])).
% 51.36/34.02 tff(30504,plain,
% 51.36/34.02 (~node30(c_m, s2)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[9907, 30502])).
% 51.36/34.02 tff(30505,plain,
% 51.36/34.02 (node7(s2)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[9916, 30499])).
% 51.36/34.02 tff(30506,plain,
% 51.36/34.02 (~m_memory_v_reply_h_stall(c_m, s2)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[9924, 30505])).
% 51.36/34.02 tff(30507,plain,
% 51.36/34.02 (~m_memory_v_busy(c_m, s2)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[9933, 30506, 30504])).
% 51.36/34.02 tff(30508,plain,
% 51.36/34.02 (m_processor_v_waiting(c_p1, s3)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[29201, 30471, 2595])).
% 51.36/34.02 tff(30509,plain,
% 51.36/34.02 (~node20(c_m, s2)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[9950, 30502])).
% 51.36/34.02 tff(30510,plain,
% 51.36/34.02 (m_processor_v_CMD(c_p1, s2, c_read_h_owned)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[5401, 30501])).
% 51.36/34.02 tff(30511,plain,
% 51.36/34.02 (~node59(c_p1, s2)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[10308, 707, 30510])).
% 51.36/34.02 tff(30512,plain,
% 51.36/34.02 (~m_processor_v_REPLY_h_WAITING(c_p1, s2)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[9332, 30511, 30497])).
% 51.36/34.02 tff(30513,plain,
% 51.36/34.02 (~m_main_v_REPLY_h_WAITING(s2)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[9340, 30512])).
% 51.36/34.02 tff(30514,plain,
% 51.36/34.02 (~m_memory_v_REPLY_h_WAITING(c_m, s2)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[10301, 30513])).
% 51.36/34.02 tff(30515,plain,
% 51.36/34.02 (~node27(c_m, s2)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[10294, 30514])).
% 51.36/34.02 tff(30516,plain,
% 51.36/34.02 (m_processor_v_waiting(c_p1, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[12330, 30515, 2595, 9816, 22687, 30509, 30508, 30507, 30503, 30500, 30474, 30494, 10644, 1752, 30492])).
% 51.36/34.02 tff(30517,plain,
% 51.36/34.02 ($false),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[19513, 30516, 30491, 19191])).
% 51.36/34.02 tff(30518,plain,(m_processor_v_waiting(c_p0, s4) | m_processor_v_waiting(c_p1, s5) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_master(c_p1, s4)) | m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_state(c_p1, s5, c_shared) | (~node10(s4)) | node63(c_p1, s4) | m_processor_v_master(c_p1, s3) | (~m_processor_v_state(c_p0, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.02 tff(30519,plain,
% 51.36/34.02 (m_processor_v_waiting(c_p0, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[30518, 19191, 2595, 1752, 30309, 559, 160, 30317, 30242, 6607, 30459])).
% 51.36/34.02 tff(30520,plain,
% 51.36/34.02 (~node52(c_p0, s4, s5)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[21695, 30519, 1193])).
% 51.36/34.02 tff(30521,plain,
% 51.36/34.02 (~node46(c_p0, s4, s5)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[30392, 30519, 1193])).
% 51.36/34.02 tff(30522,plain,
% 51.36/34.02 (~m_processor_v_abort(c_p0, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[23310, 30521])).
% 51.36/34.02 tff(30523,plain,
% 51.36/34.02 (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[30419, 30522, 30520, 30465, 30317, 30464])).
% 51.36/34.02 tff(30524,plain,
% 51.36/34.02 (~m_processor_v_snoop(c_p1, s4, c_invalid)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[30428, 30523, 22684, 30242, 30309])).
% 51.36/34.02 tff(30525,plain,
% 51.36/34.02 (~m_processor_v_snoop(c_p1, s3, c_invalid)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[17453, 30524, 6607, 30463, 30462])).
% 51.36/34.02 tff(30526,plain,
% 51.36/34.02 (~m_processor_v_master(c_p1, s2)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[8655, 30525])).
% 51.36/34.02 tff(30527,plain,
% 51.36/34.02 (m_processor_v_state(c_p1, s2, c_owned)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[5484, 30526, 2595])).
% 51.36/34.02 tff(30528,plain,
% 51.36/34.02 (~node44(c_p1, s2, s3)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[8587, 30525])).
% 51.36/34.02 tff(30529,plain,
% 51.36/34.02 (~node39(c_p1, s2, s3)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[8599, 30525])).
% 51.36/34.02 tff(30530,plain,
% 51.36/34.02 (~m_processor_v_abort(c_p1, s2)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[8613, 30529])).
% 51.36/34.02 tff(30531,plain,
% 51.36/34.02 (node40(c_p1, s2)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[8780, 30530, 30528, 30526, 30527])).
% 51.36/34.02 tff(30532,plain,
% 51.36/34.02 (m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[8784, 8367, 30531])).
% 51.36/34.02 tff(30533,plain,
% 51.36/34.02 (m_main_v_CMD(s2, c_read_h_shared)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[8791, 30532])).
% 51.36/34.02 tff(30534,plain,
% 51.36/34.02 (m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[5526, 30533])).
% 51.36/34.02 tff(30535,plain,
% 51.36/34.02 (~m_processor_v_state(c_p1, s2, c_invalid)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[5490, 30527])).
% 51.36/34.02 tff(30536,plain,
% 51.36/34.02 (m_processor_v_state(c_p0, s2, c_invalid)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[5074, 30535])).
% 51.36/34.02 tff(30537,plain,
% 51.36/34.02 (~m_processor_v_state(c_p0, s2, c_shared)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[8392, 30536])).
% 51.36/34.02 tff(30538,plain,
% 51.36/34.02 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[2665, 137, 30459])).
% 51.36/34.02 tff(30539,plain,
% 51.36/34.02 (~m_processor_v_state(c_p0, s2, c_owned)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[2779, 137, 30536])).
% 51.36/34.02 tff(30540,plain,
% 51.36/34.02 (node34(c_p0, s2, s3)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[9276, 30539, 30538, 30537])).
% 51.36/34.02 tff(30541,plain,
% 51.36/34.02 (~m_processor_v_state(c_p0, s3, c_shared)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[2661, 30459])).
% 51.36/34.02 tff(30542,plain,
% 51.36/34.02 ($false),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[9214, 416, 30541, 30540, 30534])).
% 51.36/34.02 tff(30543,plain,(m_processor_v_waiting(c_p1, s5) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_master(c_p1, s3) | m_processor_v_waiting(c_p0, s5) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_state(c_p1, s5, c_shared) | m_memory_v_busy(c_m, s4) | m_processor_v_state(c_p1, s4, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.02 tff(30544,plain,
% 51.36/34.02 (m_processor_v_master(c_p1, s3)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[30543, 30239, 1752, 30241, 30238, 19134, 19107, 30142, 30150])).
% 51.36/34.02 tff(30545,plain,
% 51.36/34.02 (~m_processor_v_master(c_p0, s3)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[9444, 794, 30544])).
% 51.36/34.02 tff(30546,plain,
% 51.36/34.02 (~node29(c_m, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[2077, 30239])).
% 51.36/34.02 tff(30547,plain,
% 51.36/34.02 (m_memory_v_cmd(c_m, s4, c_idle)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[1325, 30546])).
% 51.36/34.02 tff(30548,plain,
% 51.36/34.02 (m_processor_v_snoop(c_p0, s3, c_invalid)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[26924, 30238])).
% 51.36/34.02 tff(30549,plain,
% 51.36/34.02 (m_processor_v_state(c_p0, s3, c_owned)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[9728, 30545, 1752])).
% 51.36/34.02 tff(30550,plain,
% 51.36/34.02 (m_processor_v_snoop(c_p0, s4, c_invalid)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[29146, 30549, 30150, 30548])).
% 51.36/34.02 tff(30551,plain,
% 51.36/34.02 (~node46(c_p1, s4, s5)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[19513, 19191, 19505])).
% 51.36/34.02 tff(30552,plain,
% 51.36/34.02 (~m_processor_v_abort(c_p1, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[19521, 30551])).
% 51.36/34.02 tff(30553,plain,
% 51.36/34.02 (~node56(c_p1, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[6603, 540, 19505])).
% 51.36/34.02 tff(30554,plain,
% 51.36/34.02 (~m_processor_v_writable(c_p1, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[6573, 30553])).
% 51.36/34.02 tff(30555,plain,
% 51.36/34.02 (~m_processor_v_master(c_p1, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[21238, 30554, 559, 160, 19191, 6657, 30552])).
% 51.36/34.02 tff(30556,plain,
% 51.36/34.02 (m_processor_v_cmd(c_p1, s4, c_idle)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[1517, 30555])).
% 51.36/34.02 tff(30557,plain,
% 51.36/34.02 (~node52(c_p1, s4, s5)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[19535, 19191, 19505])).
% 51.36/34.02 tff(30558,plain,
% 51.36/34.02 (~node48(c_p1, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[19525, 11562, 30555])).
% 51.36/34.02 tff(30559,plain,
% 51.36/34.02 (~node47(c_p1, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[19539, 12108, 30555])).
% 51.36/34.02 tff(30560,plain,
% 51.36/34.02 ($false),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[21124, 30559, 30558, 1752, 1519, 30552, 21053, 30557, 30556])).
% 51.36/34.02 tff(30561,plain,(m_processor_v_waiting(c_p1, s5) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_memory_v_cmd(c_m, s4, c_idle)) | (~m_processor_v_snoop(c_p0, s4, c_invalid)) | m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_waiting(c_p1, s4))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.02 tff(30562,plain,
% 51.36/34.02 (~m_processor_v_waiting(c_p1, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[30561, 30550, 1752, 30142, 19134, 19107, 30150, 30547])).
% 51.36/34.02 tff(30563,plain,
% 51.36/34.02 (~node56(c_p0, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[29244, 30562, 30238, 30150, 30545, 30240, 30239])).
% 51.36/34.02 tff(30564,plain,
% 51.36/34.02 (~m_processor_v_writable(c_p0, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[69, 30563])).
% 51.36/34.02 tff(30565,plain,
% 51.36/34.02 (m_processor_v_waiting(c_p0, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[23090, 30564])).
% 51.36/34.02 tff(30566,plain,
% 51.36/34.02 (~m_processor_v_snoop(c_p0, s4, c_shared)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[21061, 4096, 30550])).
% 51.36/34.02 tff(30567,plain,
% 51.36/34.02 (~m_processor_v_snoop(c_p0, s4, c_owned)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[21056, 4071, 30550])).
% 51.36/34.02 tff(30568,plain,
% 51.36/34.02 (~m_processor_v_cmd(c_p1, s4, c_idle)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[30265, 30567, 1752, 30241, 30566, 30547, 30565])).
% 51.36/34.02 tff(30569,plain,
% 51.36/34.02 (m_processor_v_master(c_p1, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[1517, 30568])).
% 51.36/34.02 tff(30570,plain,
% 51.36/34.02 (~node16(s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[12622, 30569])).
% 51.36/34.02 tff(30571,plain,
% 51.36/34.02 (~m_processor_v_master(c_p2, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[1550, 30570])).
% 51.36/34.02 tff(30572,plain,
% 51.36/34.02 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[1582, 30571])).
% 51.36/34.02 tff(30573,plain,
% 51.36/34.02 (~m_processor_v_master(c_p0, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[1437, 30569])).
% 51.36/34.02 tff(30574,plain,
% 51.36/34.02 (m_processor_v_cmd(c_p0, s4, c_idle)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[12616, 30573])).
% 51.36/34.02 tff(30575,plain,
% 51.36/34.02 (~node48(c_p0, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[17697, 11562, 30573])).
% 51.36/34.02 tff(30576,plain,
% 51.36/34.02 (~node46(c_p0, s4, s5)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[30392, 30565, 30241])).
% 51.36/34.02 tff(30577,plain,
% 51.36/34.02 (~m_processor_v_abort(c_p0, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[23310, 30576])).
% 51.36/34.02 tff(30578,plain,
% 51.36/34.02 (m_processor_v_state(c_p1, s4, c_owned)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[6848, 30240, 30150])).
% 51.36/34.02 tff(30579,plain,
% 51.36/34.02 (~m_processor_v_state(c_p0, s3, c_shared)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[2661, 30549])).
% 51.36/34.02 tff(30580,plain,
% 51.36/34.02 (m_processor_v_snoop(c_p1, s3, c_invalid)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[22785, 9405, 2723, 2666, 1095, 2595])).
% 51.36/34.02 tff(30581,plain,
% 51.36/34.02 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | ((~m_processor_v_snoop(c_p1, s3, c_invalid)) | m_processor_v_snoop(c_p1, s4, c_invalid) | (~node44(c_p1, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | m_processor_v_snoop(c_p1, s4, c_invalid) | (~node44(c_p1, s3, s4)))),
% 51.36/34.02 inference(rewrite,[status(thm)],[])).
% 51.36/34.02 tff(30582,plain,
% 51.36/34.02 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | ((~m_processor_v_snoop(c_p1, s3, c_invalid)) | m_processor_v_snoop(c_p1, s4, c_invalid) | (~node44(c_p1, s3, s4)))),
% 51.36/34.02 inference(quant_inst,[status(thm)],[])).
% 51.36/34.02 tff(30583,plain,
% 51.36/34.02 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_snoop(I0, X, V)) | m_processor_v_snoop(I0, Y, V) | (~node44(I0, X, Y)))) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | m_processor_v_snoop(c_p1, s4, c_invalid) | (~node44(c_p1, s3, s4))),
% 51.36/34.02 inference(modus_ponens,[status(thm)],[30582, 30581])).
% 51.36/34.02 tff(30584,plain,
% 51.36/34.02 (~node44(c_p1, s3, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[30583, 7470, 30580, 12789])).
% 51.36/34.02 tff(30585,plain,
% 51.36/34.02 (~node39(c_p1, s3, s4)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[12797, 30580, 12789])).
% 51.36/34.02 tff(30586,plain,
% 51.36/34.02 (~m_processor_v_abort(c_p1, s3)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[12786, 30585])).
% 51.36/34.02 tff(30587,plain,
% 51.36/34.02 (m_memory_v_cmd(c_m, s3, c_idle)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[12758, 30586, 30584, 11531])).
% 51.36/34.02 tff(30588,plain,
% 51.36/34.02 (m_processor_v_cmd(c_p1, s3, c_idle)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[12094, 17445, 2595, 6709, 6713, 12045, 12040, 10644])).
% 51.36/34.02 tff(30589,plain,
% 51.36/34.02 (~m_main_v_CMD(s3, c_read_h_shared)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[11518, 30588, 2652, 9550])).
% 51.36/34.02 tff(30590,plain,
% 51.36/34.02 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[10595, 30589])).
% 51.36/34.02 tff(30591,plain,
% 51.36/34.02 (~node41(c_p1, s3)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[12740, 8378, 30590])).
% 51.36/34.02 tff(30592,plain,
% 51.36/34.02 (~node40(c_p1, s3)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[12736, 8367, 30590])).
% 51.36/34.02 tff(30593,plain,
% 51.36/34.02 (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[12098, 3630, 30588])).
% 51.36/34.02 tff(30594,plain,
% 51.36/34.02 (~m_processor_v_master(c_p1, s3)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[10757, 30593, 10644, 10738, 11796, 12045, 12040])).
% 51.36/34.02 tff(30595,plain,
% 51.36/34.02 ($false),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[17453, 30594, 30592, 11796, 12789, 30591])).
% 51.36/34.02 tff(30596,plain,(m_processor_v_snoop(c_p1, s4, c_invalid) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | node62(c_p1, s3) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | m_processor_v_waiting(c_p1, s4) | m_processor_v_state(c_p1, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.02 tff(30597,plain,
% 51.36/34.02 (node62(c_p1, s3)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[30596, 30587, 12789, 2595, 2652, 30580, 6709, 6713])).
% 51.36/34.02 tff(30598,plain,
% 51.36/34.02 (m_processor_v_master(c_p1, s3)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[9461, 1493, 30597])).
% 51.36/34.02 tff(30599,plain,
% 51.36/34.02 (m_processor_v_state(c_p1, s3, c_invalid)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[10639, 1633, 30597])).
% 51.36/34.02 tff(30600,plain,
% 51.36/34.02 (~m_processor_v_cmd(c_p1, s3, c_idle)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[12964, 30599, 30598])).
% 51.36/34.02 tff(30601,plain,
% 51.36/34.02 (~node9(s3)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[10785, 30600])).
% 51.36/34.02 tff(30602,plain,
% 51.36/34.02 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 51.36/34.02 inference(unit_resolution,[status(thm)],[6800, 30598, 6709, 30586])).
% 51.36/34.03 tff(30603,plain,
% 51.36/34.03 (~m_main_v_CMD(s3, c_read_h_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[10585, 30602])).
% 51.36/34.03 tff(30604,plain,
% 51.36/34.03 (~node10(s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[10778, 30603, 6657, 6713, 30586, 30598, 6709])).
% 51.36/34.03 tff(30605,plain,
% 51.36/34.03 (~m_processor_v_cmd(c_p2, s3, c_idle)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[10800, 30604, 11531, 30587, 30601])).
% 51.36/34.03 tff(30606,plain,
% 51.36/34.03 (m_processor_v_master(c_p2, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9594, 30605])).
% 51.36/34.03 tff(30607,plain,
% 51.36/34.03 (node16(s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9562, 30606])).
% 51.36/34.03 tff(30608,plain,
% 51.36/34.03 ($false),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[10569, 3386, 30598, 30607])).
% 51.36/34.03 tff(30609,plain,(m_processor_v_master(c_p0, s3) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s4, c_invalid) | m_processor_v_waiting(c_p1, s4) | m_processor_v_snoop(c_p1, s4, c_invalid) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_state(c_p0, s3, c_shared) | m_processor_v_state(c_p0, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.03 tff(30610,plain,
% 51.36/34.03 (m_processor_v_snoop(c_p1, s4, c_invalid)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[30609, 30562, 30238, 30150, 30240, 30545, 30549, 30579, 6880])).
% 51.36/34.03 tff(30611,plain,
% 51.36/34.03 (~node63(c_p1, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12632, 1809, 30150])).
% 51.36/34.03 tff(30612,plain,
% 51.36/34.03 (m_processor_v_cmd(c_p1, s4, c_write_h_invalid)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[30428, 30569, 30611, 30610, 30578])).
% 51.36/34.03 tff(30613,plain,
% 51.36/34.03 (~node52(c_p0, s4, s5)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[21695, 30565, 30241])).
% 51.36/34.03 tff(30614,plain,
% 51.36/34.03 (~node47(c_p0, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[17643, 12108, 30573])).
% 51.36/34.03 tff(30615,plain,
% 51.36/34.03 (~node10(s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[30419, 30614, 30613, 30612, 30577, 30575])).
% 51.36/34.03 tff(30616,plain,
% 51.36/34.03 (node9(s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12714, 30615, 30547, 30574, 30572])).
% 51.36/34.03 tff(30617,plain,
% 51.36/34.03 ($false),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12703, 3443, 30568, 30616])).
% 51.36/34.03 tff(30618,plain,((~node67(s5)) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p0, s5, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.03 tff(30619,plain,
% 51.36/34.03 (~m_processor_v_state(c_p0, s4, c_owned)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[30618, 91, 13853, 1069])).
% 51.36/34.03 tff(30620,plain,
% 51.36/34.03 (m_processor_v_waiting(c_p0, s5)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[2285, 30619, 1060])).
% 51.36/34.03 tff(30621,plain,
% 51.36/34.03 ($false),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[21281, 30620, 19305])).
% 51.36/34.03 tff(30622,plain,((~node67(s5)) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~m_processor_v_state(c_p1, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.03 tff(30623,plain,
% 51.36/34.03 (~node67(s5)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[30622, 30141, 30121])).
% 51.36/34.03 tff(30624,plain,
% 51.36/34.03 (m_processor_v_state(c_p1, s3, c_owned)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[21257, 5668, 13853, 5698, 5667, 5949])).
% 51.36/34.03 tff(30625,plain,
% 51.36/34.03 (m_processor_v_snoop(c_p0, s3, c_invalid)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[26924, 30624])).
% 51.36/34.03 tff(30626,plain,
% 51.36/34.03 (~m_processor_v_state(c_p0, s2, c_owned)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[2779, 137, 22212])).
% 51.36/34.03 tff(30627,plain,
% 51.36/34.03 (node67(s5)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[6549, 21270, 5672, 5667, 5668])).
% 51.36/34.03 tff(30628,plain,
% 51.36/34.03 (m_processor_v_writable(c_p0, s5)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[19296, 30627])).
% 51.36/34.03 tff(30629,plain,
% 51.36/34.03 (node56(c_p0, s5)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[19304, 30628])).
% 51.36/34.03 tff(30630,plain,
% 51.36/34.03 (m_processor_v_state(c_p0, s5, c_owned)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[19314, 30629])).
% 51.36/34.03 tff(30631,plain,
% 51.36/34.03 (~m_processor_v_waiting(c_p0, s5)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[21281, 30629])).
% 51.36/34.03 tff(30632,plain,
% 51.36/34.03 ($false),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[2285, 30631, 30630, 54])).
% 51.36/34.03 tff(30633,plain,(m_processor_v_state(c_p0, s4, c_owned) | m_processor_v_state(c_p1, s8, c_owned) | node67(s7) | node67(s6)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.03 tff(30634,plain,
% 51.36/34.03 (m_processor_v_state(c_p0, s4, c_owned)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[30633, 5668, 5667, 5672])).
% 51.36/34.03 tff(30635,plain,
% 51.36/34.03 (~m_processor_v_master(c_p0, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[5621, 5301, 5133, 5494])).
% 51.36/34.03 tff(30636,plain,
% 51.36/34.03 (~m_processor_v_state(c_p0, s3, c_owned)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[2775, 30635, 9376])).
% 51.36/34.03 tff(30637,plain,
% 51.36/34.03 (node34(c_p0, s3, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9737, 30636, 6880, 6889])).
% 51.36/34.03 tff(30638,plain,
% 51.36/34.03 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9533, 416, 6889, 30637])).
% 51.36/34.03 tff(30639,plain,
% 51.36/34.03 (~m_main_v_CMD(s3, c_read_h_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9548, 30638])).
% 51.36/34.03 tff(30640,plain,
% 51.36/34.03 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[10595, 30639])).
% 51.36/34.03 tff(30641,plain,
% 51.36/34.03 (~node40(c_p1, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12736, 8367, 30640])).
% 51.36/34.03 tff(30642,plain,
% 51.36/34.03 (~node41(c_p1, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12740, 8378, 30640])).
% 51.36/34.03 tff(30643,plain,
% 51.36/34.03 (m_processor_v_master(c_p0, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9440, 30635, 6880, 5494])).
% 51.36/34.03 tff(30644,plain,
% 51.36/34.03 (~m_processor_v_master(c_p1, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9444, 794, 30643])).
% 51.36/34.03 tff(30645,plain,
% 51.36/34.03 (m_processor_v_waiting(c_p0, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9842, 30636, 1752])).
% 51.36/34.03 tff(30646,plain,
% 51.36/34.03 (~m_processor_v_state(c_p1, s4, c_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[19480, 30645, 559, 160])).
% 51.36/34.03 tff(30647,plain,
% 51.36/34.03 (~node63(c_p1, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12632, 1809, 30646])).
% 51.36/34.03 tff(30648,plain,
% 51.36/34.03 (m_processor_v_state(c_p1, s4, c_owned)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[16488, 30644, 2595])).
% 51.36/34.03 tff(30649,plain,
% 51.36/34.03 (m_processor_v_snoop(c_p0, s4, c_invalid)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[22195, 30643, 29096])).
% 51.36/34.03 tff(30650,plain,
% 51.36/34.03 (~m_processor_v_snoop(c_p0, s4, c_owned)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[21056, 4071, 30649])).
% 51.36/34.03 tff(30651,plain,
% 51.36/34.03 (~node46(c_p0, s4, s5)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[23302, 30645, 5949, 5932, 5667, 5668, 2621])).
% 51.36/34.03 tff(30652,plain,
% 51.36/34.03 (~m_processor_v_abort(c_p0, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[23310, 30651])).
% 51.36/34.03 tff(30653,plain,
% 51.36/34.03 (node60(c_p0, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[1353, 30652])).
% 51.36/34.03 tff(30654,plain,
% 51.36/34.03 (~m_processor_v_REPLY_h_STALL(c_p0, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[1368, 30653])).
% 51.36/34.03 tff(30655,plain,
% 51.36/34.03 (~m_processor_v_snoop(c_p0, s4, c_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[21061, 4096, 30649])).
% 51.36/34.03 tff(30656,plain,
% 51.36/34.03 (~node52(c_p0, s4, s5)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[22966, 30645, 5949, 5668, 5667, 2621, 5932])).
% 51.36/34.03 tff(30657,plain,
% 51.36/34.03 (m_processor_v_reply_h_owned(c_p1, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[21700, 30644])).
% 51.36/34.03 tff(30658,plain,
% 51.36/34.03 (~node5(s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[21708, 30657])).
% 51.36/34.03 tff(30659,plain,
% 51.36/34.03 (m_main_v_REPLY_h_OWNED(s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[19697, 30658])).
% 51.36/34.03 tff(30660,plain,
% 51.36/34.03 (m_memory_v_REPLY_h_OWNED(c_m, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[19705, 30659])).
% 51.36/34.03 tff(30661,plain,
% 51.36/34.03 (m_processor_v_cmd(c_p1, s3, c_idle)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9478, 30644])).
% 51.36/34.03 tff(30662,plain,
% 51.36/34.03 (~m_processor_v_abort(c_p2, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[29005, 30636, 1752])).
% 51.36/34.03 tff(30663,plain,
% 51.36/34.03 (node60(c_p2, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[29012, 30662])).
% 51.36/34.03 tff(30664,plain,
% 51.36/34.03 (~m_processor_v_REPLY_h_STALL(c_p2, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[29019, 30663])).
% 51.36/34.03 tff(30665,plain,
% 51.36/34.03 (~m_main_v_REPLY_h_STALL(s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[29036, 30664])).
% 51.36/34.03 tff(30666,plain,
% 51.36/34.03 (node7(s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[10510, 30665])).
% 51.36/34.03 tff(30667,plain,
% 51.36/34.03 (~m_memory_v_reply_h_stall(c_m, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[10518, 30666])).
% 51.36/34.03 tff(30668,plain,
% 51.36/34.03 (m_processor_v_state(c_p0, s3, c_invalid)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9264, 30635, 9376, 9375])).
% 51.36/34.03 tff(30669,plain,
% 51.36/34.03 (~m_processor_v_state(c_p0, s3, c_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9412, 30668])).
% 51.36/34.03 tff(30670,plain,
% 51.36/34.03 (~node16(s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9554, 1530, 9515])).
% 51.36/34.03 tff(30671,plain,
% 51.36/34.03 (~m_processor_v_master(c_p2, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9562, 30670])).
% 51.36/34.03 tff(30672,plain,
% 51.36/34.03 (m_processor_v_cmd(c_p2, s3, c_idle)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9594, 30671])).
% 51.36/34.03 tff(30673,plain,
% 51.36/34.03 (~node17(s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9484, 1275, 9515])).
% 51.36/34.03 tff(30674,plain,
% 51.36/34.03 (~m_memory_v_master(c_m, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9492, 1290, 30673])).
% 51.36/34.03 tff(30675,plain,
% 51.36/34.03 (~node29(c_m, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9502, 30674])).
% 51.36/34.03 tff(30676,plain,
% 51.36/34.03 (m_memory_v_cmd(c_m, s3, c_idle)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9510, 30675])).
% 51.36/34.03 tff(30677,plain,
% 51.36/34.03 (node8(s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9603, 30676, 30672])).
% 51.36/34.03 tff(30678,plain,
% 51.36/34.03 (~m_processor_v_cmd(c_p0, s3, c_read_h_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9612, 30677])).
% 51.36/34.03 tff(30679,plain,
% 51.36/34.03 (~m_processor_v_cmd(c_p0, s3, c_read_h_owned)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9621, 30677])).
% 51.36/34.03 tff(30680,plain,
% 51.36/34.03 (m_processor_v_cmd(c_p0, s3, c_read_h_owned) | m_processor_v_cmd(c_p0, s3, c_read_h_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9628, 1835, 9416, 9515])).
% 51.36/34.03 tff(30681,plain,
% 51.36/34.03 ($false),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[30680, 30679, 30678])).
% 51.36/34.03 tff(30682,plain,(m_processor_v_state(c_p0, s3, c_shared) | m_main_v_CMD(s3, c_read_h_owned) | m_main_v_CMD(s3, c_read_h_shared) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | m_processor_v_state(c_p0, s3, c_owned) | m_processor_v_state(c_p0, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.03 tff(30683,plain,
% 51.36/34.03 (m_main_v_CMD(s3, c_read_h_owned)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[30682, 30661, 30636, 6880, 30669, 30639])).
% 51.36/34.03 tff(30684,plain,
% 51.36/34.03 (m_memory_v_CMD(c_m, s3, c_read_h_owned)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[10550, 4207, 30683, 10083])).
% 51.36/34.03 tff(30685,plain,
% 51.36/34.03 (~node30(c_m, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[10554, 5042, 30684])).
% 51.36/34.03 tff(30686,plain,
% 51.36/34.03 (~m_memory_v_busy(c_m, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[10526, 30685, 30667])).
% 51.36/34.03 tff(30687,plain,
% 51.36/34.03 (~m_memory_v_busy(c_m, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[22753, 30686, 6889, 30661, 30660])).
% 51.36/34.03 tff(30688,plain,
% 51.36/34.03 (~node29(c_m, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[2077, 30687])).
% 51.36/34.03 tff(30689,plain,
% 51.36/34.03 (m_memory_v_cmd(c_m, s4, c_idle)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[1325, 30688])).
% 51.36/34.03 tff(30690,plain,
% 51.36/34.03 (~m_processor_v_cmd(c_p1, s4, c_idle)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[22956, 30689, 1752, 30656, 30655, 30654, 30650])).
% 51.36/34.03 tff(30691,plain,
% 51.36/34.03 (m_processor_v_master(c_p1, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[1517, 30690])).
% 51.36/34.03 tff(30692,plain,
% 51.36/34.03 (~node16(s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12622, 30691])).
% 51.36/34.03 tff(30693,plain,
% 51.36/34.03 (~m_processor_v_master(c_p2, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[1550, 30692])).
% 51.36/34.03 tff(30694,plain,
% 51.36/34.03 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[1582, 30693])).
% 51.36/34.03 tff(30695,plain,
% 51.36/34.03 (~m_processor_v_master(c_p0, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[1437, 30691])).
% 51.36/34.03 tff(30696,plain,
% 51.36/34.03 (m_processor_v_cmd(c_p0, s4, c_idle)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12616, 30695])).
% 51.36/34.03 tff(30697,plain,
% 51.36/34.03 (~node9(s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12703, 3443, 30690])).
% 51.36/34.03 tff(30698,plain,
% 51.36/34.03 (node10(s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12714, 30697, 30689, 30696, 30694])).
% 51.36/34.03 tff(30699,plain,
% 51.36/34.03 (~node47(c_p0, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[17643, 12108, 30695])).
% 51.36/34.03 tff(30700,plain,
% 51.36/34.03 (~node48(c_p0, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[17697, 11562, 30695])).
% 51.36/34.03 tff(30701,plain,
% 51.36/34.03 (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[30419, 30700, 30652, 30699, 30656, 30698])).
% 51.36/34.03 tff(30702,plain,
% 51.36/34.03 (~m_processor_v_snoop(c_p1, s4, c_invalid)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[30428, 30691, 30701, 30648, 30647])).
% 51.36/34.03 tff(30703,plain,
% 51.36/34.03 (~m_processor_v_snoop(c_p1, s3, c_invalid)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[17453, 30702, 30644, 30642, 30641])).
% 51.36/34.03 tff(30704,plain,
% 51.36/34.03 (~node39(c_p1, s2, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[8599, 30703])).
% 51.36/34.03 tff(30705,plain,
% 51.36/34.03 (~node41(c_p1, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[8731, 8378, 20901])).
% 51.36/34.03 tff(30706,plain,
% 51.36/34.03 (~node40(c_p1, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[8784, 8367, 20901])).
% 51.36/34.03 tff(30707,plain,
% 51.36/34.03 (~m_processor_v_master(c_p1, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[8655, 30703])).
% 51.36/34.03 tff(30708,plain,
% 51.36/34.03 (~node44(c_p1, s2, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[8587, 30703])).
% 51.36/34.03 tff(30709,plain,
% 51.36/34.03 (m_processor_v_abort(c_p1, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[8707, 30708, 30707, 30706, 30705])).
% 51.36/34.03 tff(30710,plain,
% 51.36/34.03 ($false),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[8613, 30709, 30704])).
% 51.36/34.03 tff(30711,plain,(m_main_v_CMD(s2, c_read_h_shared) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_state(c_p1, s3, c_owned)) | node67(s9) | node67(s8) | node67(s7) | node67(s6) | m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_state(c_p1, s5, c_shared) | (~m_processor_v_state(c_p0, s2, c_invalid)) | m_main_v_CMD(s2, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.03 tff(30712,plain,
% 51.36/34.03 (m_main_v_CMD(s2, c_read_h_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[30711, 5133, 2595, 5949, 5932, 5667, 5668, 559, 160, 5494, 1752])).
% 51.36/34.03 tff(30713,plain,
% 51.36/34.03 (m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[5298, 30712])).
% 51.36/34.03 tff(30714,plain,
% 51.36/34.03 (m_processor_v_snoop(c_p0, s4, c_invalid)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[22195, 9825, 29096])).
% 51.36/34.03 tff(30715,plain,
% 51.36/34.03 (~m_processor_v_snoop(c_p0, s4, c_owned)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[21056, 4071, 30714])).
% 51.36/34.03 tff(30716,plain,
% 51.36/34.03 (~node46(c_p0, s4, s5)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[23302, 19452, 5949, 5932, 5667, 5668, 2621])).
% 51.36/34.03 tff(30717,plain,
% 51.36/34.03 (~m_processor_v_abort(c_p0, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[23310, 30716])).
% 51.36/34.03 tff(30718,plain,
% 51.36/34.03 (node60(c_p0, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[1353, 30717])).
% 51.36/34.03 tff(30719,plain,
% 51.36/34.03 (~m_processor_v_REPLY_h_STALL(c_p0, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[1368, 30718])).
% 51.36/34.03 tff(30720,plain,
% 51.36/34.03 (~m_processor_v_snoop(c_p0, s4, c_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[21061, 4096, 30714])).
% 51.36/34.03 tff(30721,plain,
% 51.36/34.03 (~node52(c_p0, s4, s5)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[22966, 19452, 5949, 5668, 5667, 2621, 5932])).
% 51.36/34.03 tff(30722,plain,
% 51.36/34.03 (~node30(c_m, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[10554, 5042, 29042])).
% 51.36/34.03 tff(30723,plain,
% 51.36/34.03 (~m_memory_v_busy(c_m, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[10526, 30722, 29039])).
% 51.36/34.03 tff(30724,plain,
% 51.36/34.03 (~m_memory_v_busy(c_m, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[22753, 30723, 6889, 22843, 22847])).
% 51.36/34.03 tff(30725,plain,
% 51.36/34.03 (~node29(c_m, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[2077, 30724])).
% 51.36/34.03 tff(30726,plain,
% 51.36/34.03 (m_memory_v_cmd(c_m, s4, c_idle)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[1325, 30725])).
% 51.36/34.03 tff(30727,plain,
% 51.36/34.03 (~m_processor_v_cmd(c_p1, s4, c_idle)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[22956, 30726, 1752, 30721, 30720, 30719, 30715])).
% 51.36/34.03 tff(30728,plain,
% 51.36/34.03 (m_processor_v_master(c_p1, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[1517, 30727])).
% 51.36/34.03 tff(30729,plain,
% 51.36/34.03 (~node16(s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12622, 30728])).
% 51.36/34.03 tff(30730,plain,
% 51.36/34.03 (~m_processor_v_master(c_p2, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[1550, 30729])).
% 51.36/34.03 tff(30731,plain,
% 51.36/34.03 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[1582, 30730])).
% 51.36/34.03 tff(30732,plain,
% 51.36/34.03 (~m_processor_v_master(c_p0, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[1437, 30728])).
% 51.36/34.03 tff(30733,plain,
% 51.36/34.03 (m_processor_v_cmd(c_p0, s4, c_idle)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12616, 30732])).
% 51.36/34.03 tff(30734,plain,
% 51.36/34.03 (~node9(s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12703, 3443, 30727])).
% 51.36/34.03 tff(30735,plain,
% 51.36/34.03 (node10(s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12714, 30734, 30726, 30733, 30731])).
% 51.36/34.03 tff(30736,plain,
% 51.36/34.03 (m_processor_v_state(c_p1, s4, c_owned)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[16488, 21925, 2595])).
% 51.36/34.03 tff(30737,plain,
% 51.36/34.03 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[6599, 137, 30736])).
% 51.36/34.03 tff(30738,plain,
% 51.36/34.03 (~node62(c_p1, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12628, 1633, 30737])).
% 51.36/34.03 tff(30739,plain,
% 51.36/34.03 (~node48(c_p0, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[17697, 11562, 30732])).
% 51.36/34.03 tff(30740,plain,
% 51.36/34.03 (~node47(c_p0, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[17643, 12108, 30732])).
% 51.36/34.03 tff(30741,plain,
% 51.36/34.03 (~m_processor_v_cmd(c_p1, s4, c_write_h_invalid)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[30419, 30735, 30717, 30740, 30721, 30739])).
% 51.36/34.03 tff(30742,plain,
% 51.36/34.03 (~m_processor_v_state(c_p1, s4, c_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[19480, 19452, 559, 160])).
% 51.36/34.03 tff(30743,plain,
% 51.36/34.03 (~node63(c_p1, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12632, 1809, 30742])).
% 51.36/34.03 tff(30744,plain,
% 51.36/34.03 (~m_processor_v_REPLY_h_STALL(c_p1, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12483, 29037])).
% 51.36/34.03 tff(30745,plain,
% 51.36/34.03 (~m_processor_v_REPLY_h_WAITING(c_p0, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[21437, 724, 30382, 28998])).
% 51.36/34.03 tff(30746,plain,
% 51.36/34.03 (~m_main_v_REPLY_h_WAITING(s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[21443, 30745])).
% 51.36/34.03 tff(30747,plain,
% 51.36/34.03 (~m_processor_v_REPLY_h_WAITING(c_p1, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[29124, 7866, 30746])).
% 51.36/34.03 tff(30748,plain,
% 51.36/34.03 (~node61(c_p1, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[29116, 30747])).
% 51.36/34.03 tff(30749,plain,
% 51.36/34.03 (~m_processor_v_abort(c_p1, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12476, 30748, 30744])).
% 51.36/34.03 tff(30750,plain,
% 51.36/34.03 (~m_processor_v_snoop(c_p1, s4, c_invalid)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[30428, 30741, 30728, 30736, 30743])).
% 51.36/34.03 tff(30751,plain,
% 51.36/34.03 (~m_processor_v_snoop(c_p1, s3, c_invalid)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[17453, 30750, 21925, 30388, 30387])).
% 51.36/34.03 tff(30752,plain,
% 51.36/34.03 (~m_processor_v_master(c_p1, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[8655, 30751])).
% 51.36/34.03 tff(30753,plain,
% 51.36/34.03 (m_processor_v_state(c_p1, s2, c_owned)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[5484, 30752, 2595])).
% 51.36/34.03 tff(30754,plain,
% 51.36/34.03 (~node39(c_p1, s2, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[8599, 30751])).
% 51.36/34.03 tff(30755,plain,
% 51.36/34.03 (~m_processor_v_abort(c_p1, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[8613, 30754])).
% 51.36/34.03 tff(30756,plain,
% 51.36/34.03 (m_processor_v_snoop(c_p1, s3, c_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[8749, 30755, 8786, 30752, 30753])).
% 51.36/34.03 tff(30757,plain,
% 51.36/34.03 (~m_processor_v_snoop(c_p1, s3, c_owned)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[8778, 8775, 30756])).
% 51.36/34.03 tff(30758,plain,
% 51.36/34.03 (~m_processor_v_snoop(c_p1, s4, c_owned)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12944, 30757, 2595, 21925, 30749])).
% 51.36/34.03 tff(30759,plain,
% 51.36/34.03 (~node64(c_p1, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12697, 4082, 30758])).
% 51.36/34.03 tff(30760,plain,
% 51.36/34.03 (m_processor_v_cmd(c_p1, s4, c_write_h_resp_h_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12892, 30759, 30736, 30727, 30743, 30741, 30738])).
% 51.36/34.03 tff(30761,plain,
% 51.36/34.03 (m_main_v_CMD(s4, c_write_h_resp_h_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12879, 30760, 30735])).
% 51.36/34.03 tff(30762,plain,
% 51.36/34.03 (~m_main_v_CMD(s4, c_read_h_owned)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[20065, 7940, 30761])).
% 51.36/34.03 tff(30763,plain,
% 51.36/34.03 (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[2280, 30762])).
% 51.36/34.03 tff(30764,plain,
% 51.36/34.03 (~m_processor_v_abort(c_p1, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[23079, 30763, 30718])).
% 51.36/34.03 tff(30765,plain,
% 51.36/34.03 (~node34(c_p1, s4, s5)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[21834, 30763, 559, 160, 30735, 30738, 30728, 30743, 30736])).
% 51.36/34.03 tff(30766,plain,
% 51.36/34.03 ($false),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[17176, 30765, 30764, 30728])).
% 51.36/34.03 tff(30767,plain,(m_processor_v_state(c_p0, s3, c_owned) | m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_state(c_p1, s5, c_shared) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)) | (~m_processor_v_state(c_p0, s4, c_owned)) | node67(s9) | node67(s8) | node67(s7) | node67(s6)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.03 tff(30768,plain,
% 51.36/34.03 (m_processor_v_state(c_p0, s3, c_owned)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[30767, 30713, 160, 2595, 559, 1752, 5949, 5932, 5667, 5668])).
% 51.36/34.03 tff(30769,plain,
% 51.36/34.03 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[2665, 137, 30768])).
% 51.36/34.03 tff(30770,plain,
% 51.36/34.03 (~m_processor_v_state(c_p0, s3, c_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[2661, 30768])).
% 51.36/34.03 tff(30771,plain,
% 51.36/34.03 (~node33(c_p0, s2, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9205, 830, 9376, 30768])).
% 51.36/34.03 tff(30772,plain,
% 51.36/34.03 (~node34(c_p0, s2, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[19639, 30771, 9194, 30770, 30769])).
% 51.36/34.03 tff(30773,plain,
% 51.36/34.03 ($false),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9276, 30772, 30769, 9376, 9375])).
% 51.36/34.03 tff(30774,plain,(m_main_v_CMD(s2, c_read_h_owned) | m_processor_v_state(c_p1, s5, c_shared) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s5, c_invalid) | (~m_processor_v_state(c_p0, s4, c_owned)) | node67(s9) | node67(s8) | node67(s7) | node67(s6) | (~m_processor_v_state(c_p0, s2, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.03 tff(30775,plain,
% 51.36/34.03 (m_main_v_CMD(s2, c_read_h_owned)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[30774, 22212, 30624, 19134, 30634, 5949, 5698, 5667, 5668, 19107])).
% 51.36/34.03 tff(30776,plain,
% 51.36/34.03 (~m_main_v_CMD(s2, c_read_h_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[8797, 30775])).
% 51.36/34.03 tff(30777,plain,
% 51.36/34.03 (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[17154, 30776])).
% 51.36/34.03 tff(30778,plain,
% 51.36/34.03 (m_processor_v_CMD(c_p0, s2, c_read_h_owned)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[5645, 30775])).
% 51.36/34.03 tff(30779,plain,
% 51.36/34.03 (~m_processor_v_state(c_p0, s2, c_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[8392, 22212])).
% 51.36/34.03 tff(30780,plain,
% 51.36/34.03 (~m_main_v_CMD(s2, c_write_h_resp_h_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[16614, 7940, 30775])).
% 51.36/34.03 tff(30781,plain,
% 51.36/34.03 (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[22485, 30780])).
% 51.36/34.03 tff(30782,plain,
% 51.36/34.03 (~node43(c_p1, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[8653, 7631, 30781])).
% 51.36/34.03 tff(30783,plain,
% 51.36/34.03 (~m_processor_v_CMD(c_p1, s2, c_read_h_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[8791, 30776])).
% 51.36/34.03 tff(30784,plain,
% 51.36/34.03 (~node41(c_p1, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[8731, 8378, 30783])).
% 51.36/34.03 tff(30785,plain,
% 51.36/34.03 (~node40(c_p1, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[8784, 8367, 30783])).
% 51.36/34.03 tff(30786,plain,
% 51.36/34.03 (~m_main_v_CMD(s2, c_write_h_resp_h_invalid)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[11340, 7953, 30775])).
% 51.36/34.03 tff(30787,plain,
% 51.36/34.03 (~m_processor_v_CMD(c_p1, s2, c_write_h_resp_h_invalid)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9014, 1260, 5290, 30786])).
% 51.36/34.03 tff(30788,plain,
% 51.36/34.03 (~node42(c_p1, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[8633, 7579, 30787])).
% 51.36/34.03 tff(30789,plain,
% 51.36/34.03 (m_processor_v_snoop(c_p1, s3, c_invalid)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[22455, 30788, 30785, 30784, 30782])).
% 51.36/34.03 tff(30790,assumption,(m_processor_v_CMD(c_p0, s2, c_read_h_owned)), introduced(assumption)).
% 51.36/34.03 tff(30791,plain,
% 51.36/34.03 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | (m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_state(c_p0, s3, c_owned) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_state(c_p0, s3, c_owned) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)))),
% 51.36/34.03 inference(rewrite,[status(thm)],[])).
% 51.36/34.03 tff(30792,plain,
% 51.36/34.03 (((~node34(c_p0, s2, s3)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_state(c_p0, s3, c_owned) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned))) <=> (m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_state(c_p0, s3, c_owned) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)))),
% 51.36/34.03 inference(rewrite,[status(thm)],[])).
% 51.36/34.03 tff(30793,plain,
% 51.36/34.03 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_state(c_p0, s3, c_owned) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | (m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_state(c_p0, s3, c_owned) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned))))),
% 51.36/34.03 inference(monotonicity,[status(thm)],[30792])).
% 51.36/34.03 tff(30794,plain,
% 51.36/34.03 (((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_state(c_p0, s3, c_owned) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_state(c_p0, s3, c_owned) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)))),
% 51.36/34.03 inference(transitivity,[status(thm)],[30793, 30791])).
% 51.36/34.03 tff(30795,plain,
% 51.36/34.03 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | ((~node34(c_p0, s2, s3)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_state(c_p0, s3, c_owned) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)))),
% 51.36/34.03 inference(quant_inst,[status(thm)],[])).
% 51.36/34.03 tff(30796,plain,
% 51.36/34.03 ((~![Y: $i, I0: $i, X: $i] : ((~node34(I0, X, Y)) | m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_state(I0, Y, c_owned) | (~m_processor_v_CMD(I0, X, c_read_h_owned)))) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | m_processor_v_state(c_p0, s3, c_owned) | (~node34(c_p0, s2, s3)) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned))),
% 51.36/34.03 inference(modus_ponens,[status(thm)],[30795, 30794])).
% 51.36/34.03 tff(30797,plain,
% 51.36/34.03 ($false),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[30796, 1864, 9208, 2642, 5514, 30790])).
% 51.36/34.03 tff(30798,plain,((~node34(c_p0, s2, s3)) | m_processor_v_state(c_p0, s3, c_owned) | m_processor_v_CMD(c_p0, s2, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.03 tff(30799,plain,
% 51.36/34.03 (~node34(c_p0, s2, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[30798, 2642, 30790, 5514])).
% 51.36/34.03 tff(30800,plain,
% 51.36/34.03 (m_processor_v_state(c_p0, s3, c_invalid)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9276, 30799, 2667, 2668])).
% 51.36/34.03 tff(30801,plain,
% 51.36/34.03 (~m_processor_v_state(c_p0, s3, c_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9412, 30800])).
% 51.36/34.03 tff(30802,plain,
% 51.36/34.03 (m_main_v_CMD(s3, c_read_h_owned)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[30682, 22843, 2642, 6880, 30801, 30385])).
% 51.36/34.03 tff(30803,plain,
% 51.36/34.03 (m_memory_v_CMD(c_m, s3, c_read_h_owned)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[10550, 4207, 30802, 10083])).
% 51.36/34.03 tff(30804,plain,
% 51.36/34.03 (~node30(c_m, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[10554, 5042, 30803])).
% 51.36/34.03 tff(30805,plain,
% 51.36/34.03 (~m_memory_v_busy(c_m, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[10526, 30804, 29039])).
% 51.36/34.03 tff(30806,plain,
% 51.36/34.03 (~m_memory_v_busy(c_m, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[22753, 30805, 6889, 22843, 22847])).
% 51.36/34.03 tff(30807,plain,
% 51.36/34.03 (~node29(c_m, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[2077, 30806])).
% 51.36/34.03 tff(30808,plain,
% 51.36/34.03 (m_memory_v_cmd(c_m, s4, c_idle)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[1325, 30807])).
% 51.36/34.03 tff(30809,plain,
% 51.36/34.03 (~m_processor_v_cmd(c_p1, s4, c_idle)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[22956, 30808, 1752, 30721, 30720, 30719, 30715])).
% 51.36/34.03 tff(30810,plain,
% 51.36/34.03 (m_processor_v_master(c_p1, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[1517, 30809])).
% 51.36/34.03 tff(30811,plain,
% 51.36/34.03 (~node16(s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12622, 30810])).
% 51.36/34.03 tff(30812,plain,
% 51.36/34.03 (~m_processor_v_master(c_p2, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[1550, 30811])).
% 51.36/34.03 tff(30813,plain,
% 51.36/34.03 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[1582, 30812])).
% 51.36/34.03 tff(30814,plain,
% 51.36/34.03 (~m_processor_v_master(c_p0, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[1437, 30810])).
% 51.36/34.03 tff(30815,plain,
% 51.36/34.03 (m_processor_v_cmd(c_p0, s4, c_idle)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12616, 30814])).
% 51.36/34.03 tff(30816,plain,
% 51.36/34.03 (~node48(c_p0, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[17697, 11562, 30814])).
% 51.36/34.03 tff(30817,plain,
% 51.36/34.03 (~node43(c_p1, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12725, 8159, 21925])).
% 51.36/34.03 tff(30818,plain,
% 51.36/34.03 (~node42(c_p1, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12730, 8170, 21925])).
% 51.36/34.03 tff(30819,plain,
% 51.36/34.03 (m_processor_v_snoop(c_p1, s4, c_invalid)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[17451, 30818, 11796, 30388, 30387, 30817])).
% 51.36/34.03 tff(30820,plain,
% 51.36/34.03 (~m_processor_v_snoop(c_p1, s4, c_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[17464, 4096, 30819])).
% 51.36/34.03 tff(30821,plain,
% 51.36/34.03 (~node65(c_p1, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12663, 4107, 30820])).
% 51.36/34.03 tff(30822,plain,
% 51.36/34.03 (~m_processor_v_snoop(c_p1, s4, c_owned)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[17457, 4071, 30819])).
% 51.36/34.03 tff(30823,plain,
% 51.36/34.03 (~node64(c_p1, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12697, 4082, 30822])).
% 51.36/34.03 tff(30824,plain,
% 51.36/34.03 (m_processor_v_cmd(c_p1, s4, c_write_h_invalid) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node64(c_p1, s4) | (~m_processor_v_snoop(c_p1, s4, c_invalid)) | node65(c_p1, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12670, 7232, 30736, 30743])).
% 51.36/34.03 tff(30825,plain,
% 51.36/34.03 (m_processor_v_cmd(c_p1, s4, c_write_h_invalid)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[30824, 30810, 30823, 30738, 30819, 30821])).
% 51.36/34.03 tff(30826,plain,
% 51.36/34.03 (~node47(c_p0, s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[17643, 12108, 30814])).
% 51.36/34.03 tff(30827,plain,
% 51.36/34.03 (~node10(s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[30419, 30826, 30717, 30825, 30721, 30816])).
% 51.36/34.03 tff(30828,plain,
% 51.36/34.03 (node9(s4)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12714, 30827, 30808, 30815, 30813])).
% 51.36/34.03 tff(30829,plain,
% 51.36/34.03 ($false),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12703, 3443, 30809, 30828])).
% 51.36/34.03 tff(30830,plain,(m_processor_v_state(c_p0, s3, c_owned) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p0, s2, c_owned) | m_processor_v_state(c_p0, s2, c_shared) | node67(s9) | node67(s8) | node67(s7) | node67(s6) | m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_state(c_p1, s5, c_shared) | (~m_processor_v_CMD(c_p0, s2, c_read_h_owned)) | m_processor_v_CMD(c_p0, s2, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.03 tff(30831,plain,
% 51.36/34.03 (m_processor_v_state(c_p0, s3, c_owned)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[30830, 30789, 30634, 30624, 30626, 30779, 5949, 5698, 5667, 5668, 19134, 19107, 30778, 30777])).
% 51.36/34.03 tff(30832,plain,
% 51.36/34.03 (m_processor_v_master(c_p0, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[2775, 30831, 30626])).
% 51.36/34.03 tff(30833,plain,
% 51.36/34.03 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[2665, 137, 30831])).
% 51.36/34.03 tff(30834,plain,
% 51.36/34.03 (~node32(c_p0, s2, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[5496, 30833, 22212])).
% 51.36/34.03 tff(30835,plain,
% 51.36/34.03 (~m_processor_v_abort(c_p0, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[2704, 30834])).
% 51.36/34.03 tff(30836,plain,
% 51.36/34.03 (m_processor_v_waiting(c_p0, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[5647, 30835, 30832, 22212])).
% 51.36/34.03 tff(30837,plain,
% 51.36/34.03 (node60(c_p0, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[10475, 30835])).
% 51.36/34.03 tff(30838,plain,
% 51.36/34.03 (node8(s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[5596, 30832])).
% 51.36/34.03 tff(30839,plain,
% 51.36/34.03 (~m_processor_v_cmd(c_p0, s2, c_read_h_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[5611, 30838, 30776])).
% 51.36/34.03 tff(30840,plain,
% 51.36/34.03 (m_memory_v_CMD(c_m, s2, c_read_h_owned)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9899, 30775])).
% 51.36/34.03 tff(30841,plain,
% 51.36/34.03 (~node30(c_m, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9907, 30840])).
% 51.36/34.03 tff(30842,plain,
% 51.36/34.03 (~m_processor_v_REPLY_h_STALL(c_p0, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[10468, 30837])).
% 51.36/34.03 tff(30843,plain,
% 51.36/34.03 (~m_main_v_REPLY_h_STALL(s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[10461, 30842])).
% 51.36/34.03 tff(30844,plain,
% 51.36/34.03 (node7(s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9916, 30843])).
% 51.36/34.03 tff(30845,plain,
% 51.36/34.03 (~m_memory_v_reply_h_stall(c_m, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9924, 30844])).
% 51.36/34.03 tff(30846,plain,
% 51.36/34.03 (~m_memory_v_busy(c_m, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9933, 30845, 30841])).
% 51.36/34.03 tff(30847,plain,
% 51.36/34.03 (~m_processor_v_state(c_p0, s3, c_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[2661, 30831])).
% 51.36/34.03 tff(30848,plain,
% 51.36/34.03 (~node33(c_p0, s2, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9205, 830, 30626, 30831])).
% 51.36/34.03 tff(30849,plain,
% 51.36/34.03 (~m_processor_v_REPLY_h_WAITING(c_p0, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[19648, 30848, 30833, 30847, 22212, 30626])).
% 51.36/34.03 tff(30850,plain,
% 51.36/34.03 (~m_main_v_REPLY_h_WAITING(s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12384, 30849])).
% 51.36/34.03 tff(30851,plain,
% 51.36/34.03 (node6(s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[20725, 30850])).
% 51.36/34.03 tff(30852,plain,
% 51.36/34.03 (~m_processor_v_reply_h_waiting(c_p1, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[22466, 30851])).
% 51.36/34.03 tff(30853,plain,
% 51.36/34.03 (~m_processor_v_master(c_p1, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[5370, 794, 30832])).
% 51.36/34.03 tff(30854,plain,
% 51.36/34.03 (~m_processor_v_waiting(c_p1, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[22473, 2296, 30853, 30852])).
% 51.36/34.03 tff(30855,plain,
% 51.36/34.03 (~node50(c_p1, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[22480, 11598, 30787])).
% 51.36/34.03 tff(30856,plain,
% 51.36/34.03 (~node61(c_p1, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12395, 30850])).
% 51.36/34.03 tff(30857,plain,
% 51.36/34.03 (~m_processor_v_REPLY_h_STALL(c_p1, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12354, 30843])).
% 51.36/34.03 tff(30858,plain,
% 51.36/34.03 (~m_processor_v_abort(c_p1, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12403, 30857, 30856])).
% 51.36/34.03 tff(30859,plain,
% 51.36/34.03 (~m_main_v_CMD(s2, c_response)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[22504, 12316, 30775])).
% 51.36/34.03 tff(30860,plain,
% 51.36/34.03 (~m_processor_v_CMD(c_p1, s2, c_response)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[22508, 1260, 5290, 30859])).
% 51.36/34.03 tff(30861,plain,
% 51.36/34.03 (~node49(c_p1, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[22515, 11579, 30860])).
% 51.36/34.03 tff(30862,plain,
% 51.36/34.03 (~node51(c_p1, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[22489, 11549, 30781])).
% 51.36/34.03 tff(30863,plain,
% 51.36/34.03 (~node47(c_p1, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[5419, 657, 30783])).
% 51.36/34.03 tff(30864,plain,
% 51.36/34.03 (~node48(c_p1, s2)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[22496, 11562, 30853])).
% 51.36/34.03 tff(30865,plain,
% 51.36/34.03 (node52(c_p1, s2, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[22523, 30864, 30863, 30862, 30861, 30858, 30855])).
% 51.36/34.03 tff(30866,plain,
% 51.36/34.03 (~m_processor_v_waiting(c_p1, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[22531, 30865, 30854])).
% 51.36/34.03 tff(30867,plain,
% 51.36/34.03 (~m_memory_v_busy(c_m, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[23199, 30866, 30624, 30846, 30839, 2781, 30837])).
% 51.36/34.03 tff(30868,plain,
% 51.36/34.03 (m_processor_v_reply_h_owned(c_p0, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[19685, 9405])).
% 51.36/34.03 tff(30869,plain,
% 51.36/34.03 (~node5(s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[19689, 10185, 30868])).
% 51.36/34.03 tff(30870,plain,
% 51.36/34.03 (m_main_v_REPLY_h_OWNED(s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[19697, 30869])).
% 51.36/34.03 tff(30871,plain,
% 51.36/34.03 (m_memory_v_REPLY_h_OWNED(c_m, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[19705, 30870])).
% 51.36/34.03 tff(30872,plain,
% 51.36/34.03 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[11528, 9605])).
% 51.36/34.03 tff(30873,plain,
% 51.36/34.03 (~node41(c_p0, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[19799, 8378, 30872])).
% 51.36/34.03 tff(30874,plain,
% 51.36/34.03 (~node40(c_p0, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[19773, 8367, 30872])).
% 51.36/34.03 tff(30875,plain,
% 51.36/34.03 (m_processor_v_snoop(c_p0, s4, c_invalid)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[22193, 30874, 30625, 30873])).
% 51.36/34.03 tff(30876,plain,
% 51.36/34.03 (~m_processor_v_snoop(c_p0, s4, c_owned)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[21056, 4071, 30875])).
% 51.36/34.03 tff(30877,plain,
% 51.36/34.03 (~m_processor_v_state(c_p0, s4, c_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[6888, 30634])).
% 51.36/34.03 tff(30878,plain,
% 51.36/34.03 (~m_processor_v_snoop(c_p0, s4, c_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[21061, 4096, 30875])).
% 51.36/34.03 tff(30879,plain,
% 51.36/34.03 (~m_processor_v_state(c_p1, s3, c_invalid)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[2620, 137, 30624])).
% 51.36/34.03 tff(30880,plain,
% 51.36/34.03 (~node29(c_m, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[29190, 30624, 30634])).
% 51.36/34.03 tff(30881,plain,
% 51.36/34.03 (m_memory_v_cmd(c_m, s3, c_idle)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[9510, 30880])).
% 51.36/34.03 tff(30882,plain,
% 51.36/34.03 (node10(s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[10800, 12072, 30881, 10791, 10786])).
% 51.36/34.03 tff(30883,plain,
% 51.36/34.03 (~m_processor_v_state(c_p1, s3, c_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[5139, 121, 30624])).
% 51.36/34.03 tff(30884,plain,
% 51.36/34.03 (~node63(c_p1, s3)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[10643, 1809, 30883])).
% 51.36/34.03 tff(30885,plain,
% 51.36/34.03 (m_processor_v_cmd(c_p1, s3, c_write_h_invalid)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[12429, 9446, 30624, 30884, 11796])).
% 51.36/34.03 tff(30886,plain,
% 51.36/34.03 (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)),
% 51.36/34.03 inference(unit_resolution,[status(thm)],[17039, 17036, 30885])).
% 51.36/34.04 tff(30887,plain,
% 51.36/34.04 (~m_main_v_CMD(s3, c_write_h_resp_h_shared)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[17046, 3512, 30886, 30882])).
% 51.36/34.04 tff(30888,plain,
% 51.36/34.04 (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11539, 1612, 9538, 30887])).
% 51.36/34.04 tff(30889,plain,
% 51.36/34.04 (~node51(c_p0, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11554, 30888])).
% 51.36/34.04 tff(30890,plain,
% 51.36/34.04 (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[10669, 10666, 30885])).
% 51.36/34.04 tff(30891,plain,
% 51.36/34.04 (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[17026, 3512, 30882, 30890])).
% 51.36/34.04 tff(30892,plain,
% 51.36/34.04 (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11590, 1612, 30891, 9538])).
% 51.36/34.04 tff(30893,plain,
% 51.36/34.04 (~node50(c_p0, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11601, 11598, 30892])).
% 51.36/34.04 tff(30894,assumption,(~node48(c_p0, s3)), introduced(assumption)).
% 51.36/34.04 tff(30895,plain,
% 51.36/34.04 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)) | (~m_processor_v_cmd(c_p1, s3, c_response)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)) | (~m_processor_v_cmd(c_p1, s3, c_response)))),
% 51.36/34.04 inference(rewrite,[status(thm)],[])).
% 51.36/34.04 tff(30896,plain,
% 51.36/34.04 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | ((~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)) | (~m_processor_v_cmd(c_p1, s3, c_response)))),
% 51.36/34.04 inference(quant_inst,[status(thm)],[])).
% 51.36/34.04 tff(30897,plain,
% 51.36/34.04 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_write_h_invalid)) | (~m_processor_v_cmd(I0, X, c_response)))) | (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)) | (~m_processor_v_cmd(c_p1, s3, c_response))),
% 51.36/34.04 inference(modus_ponens,[status(thm)],[30896, 30895])).
% 51.36/34.04 tff(30898,plain,
% 51.36/34.04 (~m_processor_v_cmd(c_p1, s3, c_response)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[30897, 21084, 30885])).
% 51.36/34.04 tff(30899,plain,
% 51.36/34.04 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_response)) | (~node10(s3)) | m_processor_v_cmd(c_p1, s3, c_response))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~m_main_v_CMD(s3, c_response)) | (~node10(s3)) | m_processor_v_cmd(c_p1, s3, c_response))),
% 51.36/34.04 inference(rewrite,[status(thm)],[])).
% 51.36/34.04 tff(30900,plain,
% 51.36/34.04 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | ((~m_main_v_CMD(s3, c_response)) | (~node10(s3)) | m_processor_v_cmd(c_p1, s3, c_response))),
% 51.36/34.04 inference(quant_inst,[status(thm)],[])).
% 51.36/34.04 tff(30901,plain,
% 51.36/34.04 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node10(X)) | m_processor_v_cmd(c_p1, X, V))) | (~m_main_v_CMD(s3, c_response)) | (~node10(s3)) | m_processor_v_cmd(c_p1, s3, c_response)),
% 51.36/34.04 inference(modus_ponens,[status(thm)],[30900, 30899])).
% 51.36/34.04 tff(30902,plain,
% 51.36/34.04 (~m_main_v_CMD(s3, c_response)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[30901, 3512, 30882, 30898])).
% 51.36/34.04 tff(30903,plain,
% 51.36/34.04 (~m_processor_v_CMD(c_p0, s3, c_response)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11571, 1612, 9538, 30902])).
% 51.36/34.04 tff(30904,plain,
% 51.36/34.04 (~node49(c_p0, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11582, 11579, 30903])).
% 51.36/34.04 tff(30905,assumption,(~node51(c_p0, s3)), introduced(assumption)).
% 51.36/34.04 tff(30906,assumption,(~node50(c_p0, s3)), introduced(assumption)).
% 51.36/34.04 tff(30907,assumption,(~node49(c_p0, s3)), introduced(assumption)).
% 51.36/34.04 tff(30908,plain,
% 51.36/34.04 (~node52(c_p0, s3, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[10828, 9816, 10809])).
% 51.36/34.04 tff(30909,plain,
% 51.36/34.04 (m_processor_v_abort(c_p0, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11619, 30908, 30894, 30907, 11567, 30906, 30905])).
% 51.36/34.04 tff(30910,plain,
% 51.36/34.04 (node46(c_p0, s3, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11697, 30909])).
% 51.36/34.04 tff(30911,plain,
% 51.36/34.04 ($false),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11714, 11708, 9816, 30910, 10809])).
% 51.36/34.04 tff(30912,plain,(m_processor_v_waiting(c_p0, s4) | (~m_processor_v_waiting(c_p0, s3)) | node48(c_p0, s3) | node49(c_p0, s3) | node47(c_p0, s3) | node50(c_p0, s3) | node51(c_p0, s3)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.04 tff(30913,plain,
% 51.36/34.04 (m_processor_v_waiting(c_p0, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[30912, 30904, 30894, 10809, 11567, 30893, 30889])).
% 51.36/34.04 tff(30914,plain,
% 51.36/34.04 (~node46(c_p0, s4, s5)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[23302, 30913, 5949, 5698, 5667, 5668, 30879])).
% 51.36/34.04 tff(30915,plain,
% 51.36/34.04 (~m_processor_v_abort(c_p0, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[23310, 30914])).
% 51.36/34.04 tff(30916,plain,
% 51.36/34.04 (node60(c_p0, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[1353, 30915])).
% 51.36/34.04 tff(30917,plain,
% 51.36/34.04 (~m_processor_v_REPLY_h_STALL(c_p0, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[1368, 30916])).
% 51.36/34.04 tff(30918,plain,
% 51.36/34.04 (~node52(c_p0, s4, s5)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[22966, 30913, 5949, 5668, 5667, 30879, 5698])).
% 51.36/34.04 tff(30919,plain,
% 51.36/34.04 (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[16680, 3716, 30885])).
% 51.36/34.04 tff(30920,plain,
% 51.36/34.04 (~m_main_v_CMD(s3, c_read_h_owned)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[10695, 3512, 30882, 30919])).
% 51.36/34.04 tff(30921,plain,
% 51.36/34.04 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12458, 30920])).
% 51.36/34.04 tff(30922,plain,
% 51.36/34.04 (~node61(c_p1, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12468, 30921, 10573])).
% 51.36/34.04 tff(30923,plain,
% 51.36/34.04 (~m_processor_v_state(c_p1, s4, c_shared)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[19480, 30913, 19134, 19107])).
% 51.36/34.04 tff(30924,plain,
% 51.36/34.04 (~node56(c_p0, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[9373, 540, 30913])).
% 51.36/34.04 tff(30925,plain,
% 51.36/34.04 (~m_processor_v_writable(c_p0, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[67, 28, 30924])).
% 51.36/34.04 tff(30926,plain,
% 51.36/34.04 (~node67(s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[73, 43, 30925])).
% 51.36/34.04 tff(30927,plain,
% 51.36/34.04 (node67(s5)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[6549, 30926, 5672, 5667, 5668])).
% 51.36/34.04 tff(30928,plain,
% 51.36/34.04 (m_processor_v_writable(c_p1, s5)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[103, 30927])).
% 51.36/34.04 tff(30929,plain,
% 51.36/34.04 (node56(c_p1, s5)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[88, 30928])).
% 51.36/34.04 tff(30930,plain,
% 51.36/34.04 (~m_processor_v_waiting(c_p1, s5)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[19116, 30929])).
% 51.36/34.04 tff(30931,plain,
% 51.36/34.04 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[30161, 30930, 30923, 13853])).
% 51.36/34.04 tff(30932,plain,
% 51.36/34.04 (m_processor_v_abort(c_p1, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12090, 30931, 30624, 9446, 10573, 30881, 30884, 12040, 12045, 30921])).
% 51.36/34.04 tff(30933,plain,
% 51.36/34.04 (m_processor_v_REPLY_h_STALL(c_p1, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12476, 30932, 30922])).
% 51.36/34.04 tff(30934,plain,
% 51.36/34.04 (m_main_v_REPLY_h_STALL(s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12483, 30933])).
% 51.36/34.04 tff(30935,plain,
% 51.36/34.04 (m_memory_v_REPLY_h_STALL(c_m, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[22053, 30934])).
% 51.36/34.04 tff(30936,plain,
% 51.36/34.04 (~node26(c_m, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[21967, 30935])).
% 51.36/34.04 tff(30937,plain,
% 51.36/34.04 (m_memory_v_abort(c_m, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[19756, 30936])).
% 51.36/34.04 tff(30938,plain,
% 51.36/34.04 (node18(c_m, s3, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[9878, 30937])).
% 51.36/34.04 tff(30939,plain,
% 51.36/34.04 (~m_memory_v_busy(c_m, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[20093, 30938, 9847])).
% 51.36/34.04 tff(30940,plain,
% 51.36/34.04 (~node29(c_m, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[2077, 30939])).
% 51.36/34.04 tff(30941,plain,
% 51.36/34.04 (m_memory_v_cmd(c_m, s4, c_idle)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[1325, 30940])).
% 51.36/34.04 tff(30942,plain,
% 51.36/34.04 (~m_processor_v_cmd(c_p1, s4, c_idle)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[22956, 30941, 30634, 30918, 22927, 30917, 19867])).
% 51.36/34.04 tff(30943,plain,
% 51.36/34.04 (m_processor_v_master(c_p1, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[1517, 30942])).
% 51.36/34.04 tff(30944,plain,
% 51.36/34.04 (~node16(s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12622, 30943])).
% 51.36/34.04 tff(30945,plain,
% 51.36/34.04 (~m_processor_v_master(c_p2, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[1550, 30944])).
% 51.36/34.04 tff(30946,plain,
% 51.36/34.04 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[1582, 30945])).
% 51.36/34.04 tff(30947,plain,
% 51.36/34.04 (~m_processor_v_master(c_p0, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[1437, 30943])).
% 51.36/34.04 tff(30948,plain,
% 51.36/34.04 (m_processor_v_cmd(c_p0, s4, c_idle)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12616, 30947])).
% 51.36/34.04 tff(30949,plain,
% 51.36/34.04 (~node48(c_p0, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[17697, 11562, 30947])).
% 51.36/34.04 tff(30950,plain,
% 51.36/34.04 (~node63(c_p1, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12632, 1809, 30923])).
% 51.36/34.04 tff(30951,plain,
% 51.36/34.04 (m_processor_v_state(c_p1, s4, c_owned)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[6848, 30931, 30923])).
% 51.36/34.04 tff(30952,plain,
% 51.36/34.04 (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12130, 1260, 10577, 30887])).
% 51.36/34.04 tff(30953,plain,
% 51.36/34.04 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~node43(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~node43(c_p1, s3)))),
% 51.36/34.04 inference(rewrite,[status(thm)],[])).
% 51.36/34.04 tff(30954,plain,
% 51.36/34.04 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~node43(c_p1, s3)))),
% 51.36/34.04 inference(quant_inst,[status(thm)],[])).
% 51.36/34.04 tff(30955,plain,
% 51.36/34.04 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node43(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared) | (~node43(c_p1, s3))),
% 51.36/34.04 inference(modus_ponens,[status(thm)],[30954, 30953])).
% 51.36/34.04 tff(30956,plain,
% 51.36/34.04 (~node43(c_p1, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[30955, 7631, 30952])).
% 51.36/34.04 tff(30957,plain,
% 51.36/34.04 (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12154, 1260, 10577, 30891])).
% 51.36/34.04 tff(30958,plain,
% 51.36/34.04 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~node42(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~node42(c_p1, s3)))),
% 51.36/34.04 inference(rewrite,[status(thm)],[])).
% 51.36/34.04 tff(30959,plain,
% 51.36/34.04 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | (m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~node42(c_p1, s3)))),
% 51.36/34.04 inference(quant_inst,[status(thm)],[])).
% 51.36/34.04 tff(30960,plain,
% 51.36/34.04 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node42(I0, X)))) | m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid) | (~node42(c_p1, s3))),
% 51.36/34.04 inference(modus_ponens,[status(thm)],[30959, 30958])).
% 51.36/34.04 tff(30961,plain,
% 51.36/34.04 (~node42(c_p1, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[30960, 7579, 30957])).
% 51.36/34.04 tff(30962,plain,
% 51.36/34.04 (m_processor_v_snoop(c_p1, s4, c_invalid)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[17451, 30961, 11796, 12741, 12737, 30956])).
% 51.36/34.04 tff(30963,plain,
% 51.36/34.04 (m_processor_v_cmd(c_p1, s4, c_write_h_invalid)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[30428, 30943, 30962, 30951, 30950])).
% 51.36/34.04 tff(30964,plain,
% 51.36/34.04 (~node47(c_p0, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[17643, 12108, 30947])).
% 51.36/34.04 tff(30965,plain,
% 51.36/34.04 (~node10(s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[30419, 30964, 30915, 30963, 30918, 30949])).
% 51.36/34.04 tff(30966,plain,
% 51.36/34.04 (node9(s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12714, 30965, 30941, 30948, 30946])).
% 51.36/34.04 tff(30967,plain,
% 51.36/34.04 ($false),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12703, 3443, 30942, 30966])).
% 51.36/34.04 tff(30968,plain,(m_processor_v_cmd(c_p1, s3, c_idle) | m_processor_v_snoop(c_p0, s4, c_shared) | m_processor_v_snoop(c_p0, s4, c_owned) | m_memory_v_busy(c_m, s3) | m_processor_v_CMD(c_p1, s3, c_read_h_shared) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p1, s8, c_owned) | node67(s7) | node67(s6) | node67(s9) | node48(c_p0, s3) | (~m_processor_v_waiting(c_p0, s3)) | node47(c_p0, s3) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_cmd(c_p0, s3, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.04 tff(30969,plain,
% 51.36/34.04 (m_processor_v_cmd(c_p1, s3, c_idle)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[30968, 30878, 30876, 9847, 10596, 13853, 5672, 5667, 5668, 5949, 11566, 10809, 17067, 11796, 11531])).
% 51.36/34.04 tff(30970,plain,
% 51.36/34.04 (~m_memory_v_busy(c_m, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[22753, 30969, 30877, 9847, 19743])).
% 51.36/34.04 tff(30971,plain,
% 51.36/34.04 (~node29(c_m, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[2077, 30970])).
% 51.36/34.04 tff(30972,plain,
% 51.36/34.04 (m_memory_v_cmd(c_m, s4, c_idle)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[1325, 30971])).
% 51.36/34.04 tff(30973,plain,
% 51.36/34.04 (~node52(c_p0, s3, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[10828, 10809, 9816])).
% 51.36/34.04 tff(30974,plain,
% 51.36/34.04 (m_processor_v_abort(c_p0, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11621, 30973, 9550, 9405, 17067, 9596])).
% 51.36/34.04 tff(30975,plain,
% 51.36/34.04 (node46(c_p0, s3, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11697, 30974])).
% 51.36/34.04 tff(30976,plain,
% 51.36/34.04 ($false),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11714, 11708, 9816, 30975, 10809])).
% 51.36/34.04 tff(30977,plain,((~m_processor_v_waiting(c_p0, s3)) | m_processor_v_waiting(c_p0, s4) | (~m_memory_v_cmd(c_m, s3, c_idle)) | m_processor_v_master(c_p0, s3) | (~m_processor_v_cmd(c_p1, s3, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.04 tff(30978,plain,
% 51.36/34.04 (m_processor_v_waiting(c_p0, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[30977, 30969, 30881, 10809, 9405])).
% 51.36/34.04 tff(30979,plain,
% 51.36/34.04 (~node52(c_p0, s4, s5)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[22966, 30978, 5949, 5668, 5667, 30879, 5698])).
% 51.36/34.04 tff(30980,plain,
% 51.36/34.04 (~node46(c_p0, s4, s5)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[23302, 30978, 5949, 5698, 5667, 5668, 30879])).
% 51.36/34.04 tff(30981,plain,
% 51.36/34.04 (~m_processor_v_abort(c_p0, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[23310, 30980])).
% 51.36/34.04 tff(30982,plain,
% 51.36/34.04 (node60(c_p0, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[1353, 30981])).
% 51.36/34.04 tff(30983,plain,
% 51.36/34.04 (~m_processor_v_REPLY_h_STALL(c_p0, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[1368, 30982])).
% 51.36/34.04 tff(30984,plain,
% 51.36/34.04 (~m_processor_v_cmd(c_p1, s4, c_idle)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[22956, 30983, 30634, 30979, 30878, 30972, 30876])).
% 51.36/34.04 tff(30985,plain,
% 51.36/34.04 (m_processor_v_master(c_p1, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[1517, 30984])).
% 51.36/34.04 tff(30986,plain,
% 51.36/34.04 (~m_processor_v_master(c_p0, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[1437, 30985])).
% 51.36/34.04 tff(30987,plain,
% 51.36/34.04 (~node48(c_p0, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[17697, 11562, 30986])).
% 51.36/34.04 tff(30988,plain,
% 51.36/34.04 (~node47(c_p0, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[17643, 12108, 30986])).
% 51.36/34.04 tff(30989,plain,
% 51.36/34.04 (~node16(s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12622, 30985])).
% 51.36/34.04 tff(30990,plain,
% 51.36/34.04 (~m_processor_v_master(c_p2, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[1550, 30989])).
% 51.36/34.04 tff(30991,plain,
% 51.36/34.04 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[1582, 30990])).
% 51.36/34.04 tff(30992,plain,
% 51.36/34.04 (m_processor_v_cmd(c_p0, s4, c_idle)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12616, 30986])).
% 51.36/34.04 tff(30993,plain,
% 51.36/34.04 (~node9(s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12703, 3443, 30984])).
% 51.36/34.04 tff(30994,plain,
% 51.36/34.04 (node10(s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12714, 30993, 30972, 30992, 30991])).
% 51.36/34.04 tff(30995,plain,
% 51.36/34.04 (~node40(c_p1, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12736, 8367, 10596])).
% 51.36/34.04 tff(30996,plain,
% 51.36/34.04 (~node41(c_p1, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12740, 8378, 10596])).
% 51.36/34.04 tff(30997,plain,
% 51.36/34.04 (~node62(c_p1, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[10639, 1633, 30879])).
% 51.36/34.04 tff(30998,plain,
% 51.36/34.04 (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12098, 3630, 30969])).
% 51.36/34.04 tff(30999,plain,
% 51.36/34.04 (node63(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | node62(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | node65(c_p1, s3) | node64(c_p1, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[10756, 7232, 30624])).
% 51.36/34.04 tff(31000,plain,
% 51.36/34.04 (~m_processor_v_master(c_p1, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[30999, 30998, 30884, 30997, 11796, 12045, 12040])).
% 51.36/34.04 tff(31001,plain,
% 51.36/34.04 (m_processor_v_snoop(c_p1, s4, c_invalid)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[17453, 31000, 11796, 30996, 30995])).
% 51.36/34.04 tff(31002,plain,
% 51.36/34.04 (m_processor_v_state(c_p1, s4, c_owned)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[16488, 31000, 30624])).
% 51.36/34.04 tff(31003,plain,
% 51.36/34.04 (~m_processor_v_state(c_p1, s4, c_shared)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[19480, 30978, 19134, 19107])).
% 51.36/34.04 tff(31004,plain,
% 51.36/34.04 (~node63(c_p1, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12632, 1809, 31003])).
% 51.36/34.04 tff(31005,plain,
% 51.36/34.04 (m_processor_v_cmd(c_p1, s4, c_write_h_invalid)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[30428, 31004, 30985, 31002, 31001])).
% 51.36/34.04 tff(31006,plain,
% 51.36/34.04 ($false),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[30419, 31005, 30994, 30981, 30988, 30979, 30987])).
% 51.36/34.04 tff(31007,plain,(m_main_v_CMD(s3, c_read_h_shared) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | node67(s9) | node67(s7) | node67(s6) | m_memory_v_busy(c_m, s3) | (~m_memory_v_REPLY_h_OWNED(c_m, s3)) | (~m_processor_v_waiting(c_p0, s3)) | m_processor_v_master(c_p0, s3) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p1, s8, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.04 tff(31008,plain,
% 51.36/34.04 (m_main_v_CMD(s3, c_read_h_shared)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[31007, 30871, 5949, 5667, 5668, 9847, 11796, 10809, 9405, 13853, 5672])).
% 51.36/34.04 tff(31009,plain,
% 51.36/34.04 (~m_main_v_CMD(s3, c_idle)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11373, 8277, 31008])).
% 51.36/34.04 tff(31010,plain,
% 51.36/34.04 (~m_processor_v_master(c_p2, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[22092, 31009])).
% 51.36/34.04 tff(31011,plain,
% 51.36/34.04 (~m_processor_v_cmd(c_p1, s3, c_idle)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11518, 31008, 30881, 2652])).
% 51.36/34.04 tff(31012,plain,
% 51.36/34.04 (~node9(s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[10785, 31011])).
% 51.36/34.04 tff(31013,plain,
% 51.36/34.04 (m_processor_v_cmd(c_p1, s3, c_write_h_invalid)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12429, 31011, 30624, 30884, 11796])).
% 51.36/34.04 tff(31014,plain,
% 51.36/34.04 (~m_main_v_CMD(s3, c_write_h_invalid)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11385, 8958, 31008])).
% 51.36/34.04 tff(31015,plain,
% 51.36/34.04 (~node10(s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[10733, 3481, 31014, 31013])).
% 51.36/34.04 tff(31016,plain,
% 51.36/34.04 (~m_processor_v_cmd(c_p2, s3, c_idle)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[10800, 31015, 30881, 11531, 31012])).
% 51.36/34.04 tff(31017,plain,
% 51.36/34.04 ($false),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[9594, 31016, 31010])).
% 51.36/34.04 tff(31018,plain,(m_processor_v_master(c_p0, s3) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | (~m_processor_v_state(c_p0, s3, c_owned)) | node67(s9) | node67(s7) | node67(s6) | m_memory_v_busy(c_m, s3) | (~m_processor_v_waiting(c_p0, s3)) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p1, s8, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.04 tff(31019,plain,
% 51.36/34.04 (m_processor_v_master(c_p0, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[31018, 30789, 30831, 5949, 5667, 5668, 30867, 30836, 13853, 5672])).
% 51.36/34.04 tff(31020,plain,
% 51.36/34.04 (m_processor_v_snoop(c_p0, s4, c_invalid)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[22195, 31019, 30625])).
% 51.36/34.04 tff(31021,plain,
% 51.36/34.04 (~m_processor_v_snoop(c_p0, s4, c_owned)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[21056, 4071, 31020])).
% 51.36/34.04 tff(31022,plain,
% 51.36/34.04 (~m_processor_v_master(c_p1, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[9444, 794, 31019])).
% 51.36/34.04 tff(31023,plain,
% 51.36/34.04 (m_processor_v_cmd(c_p1, s3, c_idle)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[9478, 31022])).
% 51.36/34.04 tff(31024,plain,
% 51.36/34.04 (m_processor_v_master(c_p1, s3) | m_processor_v_reply_h_owned(c_p1, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[21699, 10170, 30624])).
% 51.36/34.04 tff(31025,plain,
% 51.36/34.04 (m_processor_v_reply_h_owned(c_p1, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[31024, 31022])).
% 51.36/34.04 tff(31026,plain,
% 51.36/34.04 (~node5(s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[21708, 31025])).
% 51.36/34.04 tff(31027,plain,
% 51.36/34.04 (m_main_v_REPLY_h_OWNED(s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[19697, 31026])).
% 51.36/34.04 tff(31028,plain,
% 51.36/34.04 (m_memory_v_REPLY_h_OWNED(c_m, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[19705, 31027])).
% 51.36/34.04 tff(31029,plain,
% 51.36/34.04 (~m_memory_v_busy(c_m, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[22753, 31028, 30877, 30867, 31023])).
% 51.36/34.04 tff(31030,plain,
% 51.36/34.04 (~node29(c_m, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[2077, 31029])).
% 51.36/34.04 tff(31031,plain,
% 51.36/34.04 (m_memory_v_cmd(c_m, s4, c_idle)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[1325, 31030])).
% 51.36/34.04 tff(31032,plain,
% 51.36/34.04 (~m_processor_v_snoop(c_p0, s4, c_shared)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[21061, 4096, 31020])).
% 51.36/34.04 tff(31033,plain,
% 51.36/34.04 (~m_processor_v_state(c_p0, s4, c_invalid)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[1757, 30634])).
% 51.36/34.04 tff(31034,plain,
% 51.36/34.04 (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_invalid)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[9188, 30786])).
% 51.36/34.04 tff(31035,plain,
% 51.36/34.04 (~node42(c_p0, s2)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11319, 31034])).
% 51.36/34.04 tff(31036,plain,
% 51.36/34.04 (~node40(c_p0, s2)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11252, 7535, 30626])).
% 51.36/34.04 tff(31037,plain,
% 51.36/34.04 (~node41(c_p0, s2)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11256, 7548, 30626])).
% 51.36/34.04 tff(31038,plain,
% 51.36/34.04 (~m_processor_v_CMD(c_p0, s2, c_write_h_resp_h_shared)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11303, 30780])).
% 51.36/34.04 tff(31039,plain,
% 51.36/34.04 (~node43(c_p0, s2)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11311, 31038])).
% 51.36/34.04 tff(31040,plain,
% 51.36/34.04 (node44(c_p0, s2, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11278, 30835, 31039, 31037, 31036, 31035])).
% 51.36/34.04 tff(31041,plain,
% 51.36/34.04 (~m_processor_v_snoop(c_p0, s3, c_shared)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11359, 31040])).
% 51.36/34.04 tff(31042,plain,
% 51.36/34.04 (~node62(c_p0, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11424, 1633, 30833])).
% 51.36/34.04 tff(31043,plain,
% 51.36/34.04 (~m_processor_v_snoop(c_p0, s3, c_owned)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11368, 31040])).
% 51.36/34.04 tff(31044,plain,
% 51.36/34.04 (m_processor_v_cmd(c_p0, s3, c_write_h_invalid)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11639, 31019, 30831, 31043, 31042, 31041])).
% 51.36/34.04 tff(31045,plain,
% 51.36/34.04 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_invalid)))),
% 51.36/34.04 inference(rewrite,[status(thm)],[])).
% 51.36/34.04 tff(31046,plain,
% 51.36/34.04 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_invalid)))),
% 51.36/34.04 inference(quant_inst,[status(thm)],[])).
% 51.36/34.04 tff(31047,plain,
% 51.36/34.04 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s3, c_idle)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_invalid))),
% 51.36/34.04 inference(modus_ponens,[status(thm)],[31046, 31045])).
% 51.36/34.04 tff(31048,plain,
% 51.36/34.04 (~m_processor_v_cmd(c_p0, s3, c_idle)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[31047, 3630, 31044])).
% 51.36/34.04 tff(31049,plain,
% 51.36/34.04 (~m_main_v_CMD(s3, c_read_h_shared)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11518, 31023, 30881, 30831])).
% 51.36/34.04 tff(31050,plain,
% 51.36/34.04 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11528, 31049])).
% 51.36/34.04 tff(31051,plain,
% 51.36/34.04 (~node16(s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[9554, 1530, 31019])).
% 51.36/34.04 tff(31052,plain,
% 51.36/34.04 (~m_processor_v_master(c_p2, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[9562, 31051])).
% 51.36/34.04 tff(31053,plain,
% 51.36/34.04 (m_processor_v_cmd(c_p2, s3, c_idle)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[9594, 31052])).
% 51.36/34.04 tff(31054,plain,
% 51.36/34.04 (node8(s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[9602, 1593, 31023, 31053, 30881])).
% 51.36/34.04 tff(31055,plain,
% 51.36/34.04 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s3, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s3, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_invalid)))),
% 51.36/34.04 inference(rewrite,[status(thm)],[])).
% 51.36/34.04 tff(31056,plain,
% 51.36/34.04 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s3, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_invalid)))),
% 51.36/34.04 inference(quant_inst,[status(thm)],[])).
% 51.36/34.04 tff(31057,plain,
% 51.36/34.04 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_read_h_owned)) | (~m_processor_v_cmd(I0, X, c_write_h_invalid)))) | (~m_processor_v_cmd(c_p0, s3, c_read_h_owned)) | (~m_processor_v_cmd(c_p0, s3, c_write_h_invalid))),
% 51.36/34.04 inference(modus_ponens,[status(thm)],[31056, 31055])).
% 51.36/34.04 tff(31058,plain,
% 51.36/34.04 (~m_processor_v_cmd(c_p0, s3, c_read_h_owned)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[31057, 3716, 31044])).
% 51.36/34.04 tff(31059,plain,
% 51.36/34.04 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~node8(s3)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned) | (~m_main_v_CMD(s3, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s3)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned) | (~m_main_v_CMD(s3, c_read_h_owned)))),
% 51.36/34.04 inference(rewrite,[status(thm)],[])).
% 51.36/34.04 tff(31060,plain,
% 51.36/34.04 (((~m_main_v_CMD(s3, c_read_h_owned)) | (~node8(s3)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned)) <=> ((~node8(s3)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned) | (~m_main_v_CMD(s3, c_read_h_owned)))),
% 51.36/34.04 inference(rewrite,[status(thm)],[])).
% 51.36/34.04 tff(31061,plain,
% 51.36/34.04 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~node8(s3)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~node8(s3)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned) | (~m_main_v_CMD(s3, c_read_h_owned))))),
% 51.36/34.04 inference(monotonicity,[status(thm)],[31060])).
% 51.36/34.04 tff(31062,plain,
% 51.36/34.04 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~node8(s3)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s3)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned) | (~m_main_v_CMD(s3, c_read_h_owned)))),
% 51.36/34.04 inference(transitivity,[status(thm)],[31061, 31059])).
% 51.36/34.04 tff(31063,plain,
% 51.36/34.04 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s3, c_read_h_owned)) | (~node8(s3)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned))),
% 51.36/34.04 inference(quant_inst,[status(thm)],[])).
% 51.36/34.04 tff(31064,plain,
% 51.36/34.04 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (~node8(s3)) | m_processor_v_cmd(c_p0, s3, c_read_h_owned) | (~m_main_v_CMD(s3, c_read_h_owned))),
% 51.36/34.04 inference(modus_ponens,[status(thm)],[31063, 31062])).
% 51.36/34.04 tff(31065,plain,
% 51.36/34.04 (~m_main_v_CMD(s3, c_read_h_owned)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[31064, 2191, 31054, 31058])).
% 51.36/34.04 tff(31066,plain,
% 51.36/34.04 (~m_processor_v_CMD(c_p0, s3, c_read_h_owned)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[10546, 31065])).
% 51.36/34.04 tff(31067,plain,
% 51.36/34.04 (~node34(c_p0, s3, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11952, 31066, 30634, 31054, 31050, 31048, 31033])).
% 51.36/34.04 tff(31068,plain,
% 51.36/34.04 (m_processor_v_abort(c_p0, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[9522, 31067, 31019])).
% 51.36/34.04 tff(31069,plain,
% 51.36/34.04 (node46(c_p0, s3, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11697, 31068])).
% 51.36/34.04 tff(31070,plain,
% 51.36/34.04 (m_processor_v_waiting(c_p0, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[11714, 11708, 31069, 30836])).
% 51.36/34.04 tff(31071,plain,
% 51.36/34.04 (~node52(c_p0, s4, s5)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[22966, 31070, 5949, 5668, 5667, 30879, 5698])).
% 51.36/34.04 tff(31072,plain,
% 51.36/34.04 (~node46(c_p0, s4, s5)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[23302, 31070, 5949, 5698, 5667, 5668, 30879])).
% 51.36/34.04 tff(31073,plain,
% 51.36/34.04 (~m_processor_v_abort(c_p0, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[23310, 31072])).
% 51.36/34.04 tff(31074,plain,
% 51.36/34.04 (node60(c_p0, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[1353, 31073])).
% 51.36/34.04 tff(31075,plain,
% 51.36/34.04 (~m_processor_v_REPLY_h_STALL(c_p0, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[1368, 31074])).
% 51.36/34.04 tff(31076,plain,
% 51.36/34.04 (~m_processor_v_cmd(c_p1, s4, c_idle)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[22956, 31075, 30634, 31071, 31032, 31031, 31021])).
% 51.36/34.04 tff(31077,plain,
% 51.36/34.04 (m_processor_v_master(c_p1, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[1517, 31076])).
% 51.36/34.04 tff(31078,plain,
% 51.36/34.04 (~node16(s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12622, 31077])).
% 51.36/34.04 tff(31079,plain,
% 51.36/34.04 (~m_processor_v_master(c_p2, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[1550, 31078])).
% 51.36/34.04 tff(31080,plain,
% 51.36/34.04 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[1582, 31079])).
% 51.36/34.04 tff(31081,plain,
% 51.36/34.04 (~m_processor_v_master(c_p0, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[1437, 31077])).
% 51.36/34.04 tff(31082,plain,
% 51.36/34.04 (m_processor_v_cmd(c_p0, s4, c_idle)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12616, 31081])).
% 51.36/34.04 tff(31083,plain,
% 51.36/34.04 (~node48(c_p0, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[17697, 11562, 31081])).
% 51.36/34.04 tff(31084,plain,
% 51.36/34.04 (~node43(c_p1, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12725, 8159, 31022])).
% 51.36/34.04 tff(31085,plain,
% 51.36/34.04 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[10595, 31049])).
% 51.36/34.04 tff(31086,plain,
% 51.36/34.04 (~node40(c_p1, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12736, 8367, 31085])).
% 51.36/34.04 tff(31087,plain,
% 51.36/34.04 (~node41(c_p1, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12740, 8378, 31085])).
% 51.36/34.04 tff(31088,plain,
% 51.36/34.04 (~node42(c_p1, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12730, 8170, 31022])).
% 51.36/34.04 tff(31089,plain,
% 51.36/34.04 (m_processor_v_snoop(c_p1, s4, c_invalid)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[17451, 31088, 30789, 31087, 31086, 31084])).
% 51.36/34.04 tff(31090,plain,
% 51.36/34.04 (m_processor_v_state(c_p1, s4, c_owned)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[16488, 31022, 30624])).
% 51.36/34.04 tff(31091,plain,
% 51.36/34.04 (~m_processor_v_state(c_p1, s4, c_shared)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[17386, 31022, 30883])).
% 51.36/34.04 tff(31092,plain,
% 51.36/34.04 (~node63(c_p1, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12632, 1809, 31091])).
% 51.36/34.04 tff(31093,plain,
% 51.36/34.04 (m_processor_v_cmd(c_p1, s4, c_write_h_invalid)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[30428, 31077, 31092, 31090, 31089])).
% 51.36/34.04 tff(31094,plain,
% 51.36/34.04 (~node47(c_p0, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[17643, 12108, 31081])).
% 51.36/34.04 tff(31095,plain,
% 51.36/34.04 (~node10(s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[30419, 31094, 31073, 31093, 31071, 31083])).
% 51.36/34.04 tff(31096,plain,
% 51.36/34.04 (node9(s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12714, 31095, 31031, 31082, 31080])).
% 51.36/34.04 tff(31097,plain,
% 51.36/34.04 ($false),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12703, 3443, 31076, 31096])).
% 51.36/34.04 tff(31098,plain,(m_processor_v_state(c_p1, s2, c_invalid) | node67(s9) | node67(s7) | node67(s6) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p1, s8, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.04 tff(31099,plain,
% 51.36/34.04 (m_processor_v_state(c_p1, s2, c_invalid)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[31098, 5668, 5667, 5949, 13853, 5672])).
% 51.36/34.04 tff(31100,plain,
% 51.36/34.04 (~m_processor_v_state(c_p1, s2, c_shared)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[5081, 31099])).
% 51.36/34.04 tff(31101,plain,
% 51.36/34.04 (m_processor_v_master(c_p1, s2)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[5131, 31099, 30879, 31100])).
% 51.36/34.04 tff(31102,plain,
% 51.36/34.04 (m_processor_v_snoop(c_p1, s3, c_invalid)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[8655, 31101])).
% 51.36/34.04 tff(31103,plain,
% 51.36/34.04 (m_processor_v_state(c_p1, s3, c_owned)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[21257, 5668, 13853, 5932, 5667, 5949])).
% 51.36/34.04 tff(31104,plain,
% 51.36/34.04 (m_processor_v_waiting(c_p1, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[29201, 5076, 31103])).
% 51.36/34.04 tff(31105,plain,
% 51.36/34.04 (~m_processor_v_state(c_p1, s3, c_invalid)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[2620, 137, 31103])).
% 51.36/34.04 tff(31106,plain,
% 51.36/34.04 (m_processor_v_master(c_p1, s2)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[5131, 5076, 31105, 5082])).
% 51.36/34.04 tff(31107,plain,
% 51.36/34.04 (m_processor_v_snoop(c_p1, s3, c_invalid)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[8655, 31106])).
% 51.36/34.04 tff(31108,plain,
% 51.36/34.04 (~m_processor_v_state(c_p1, s3, c_shared)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[5139, 121, 31103])).
% 51.36/34.04 tff(31109,plain,
% 51.36/34.04 (~node63(c_p1, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[10643, 1809, 31108])).
% 51.36/34.04 tff(31110,plain,
% 51.36/34.04 (m_processor_v_cmd(c_p1, s3, c_write_h_invalid)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12429, 9446, 31103, 31109, 31107])).
% 51.36/34.04 tff(31111,plain,
% 51.36/34.04 (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[16680, 3716, 31110])).
% 51.36/34.04 tff(31112,plain,
% 51.36/34.04 (~node29(c_m, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[29190, 31103, 1752])).
% 51.36/34.04 tff(31113,plain,
% 51.36/34.04 (m_memory_v_cmd(c_m, s3, c_idle)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[9510, 31112])).
% 51.36/34.04 tff(31114,plain,
% 51.36/34.04 (node10(s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[10800, 12072, 31113, 10788, 10786])).
% 51.36/34.04 tff(31115,plain,
% 51.36/34.04 (~m_main_v_CMD(s3, c_read_h_owned)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[10695, 3512, 31114, 31111])).
% 51.36/34.04 tff(31116,plain,
% 51.36/34.04 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12458, 31115])).
% 51.36/34.04 tff(31117,plain,
% 51.36/34.04 (~m_processor_v_snoop(c_p1, s3, c_owned)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12043, 4071, 31107])).
% 51.36/34.04 tff(31118,plain,
% 51.36/34.04 (~node64(c_p1, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[10718, 4082, 31117])).
% 51.36/34.04 tff(31119,plain,
% 51.36/34.04 (~m_processor_v_snoop(c_p1, s3, c_shared)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[12038, 4096, 31107])).
% 51.36/34.04 tff(31120,plain,
% 51.36/34.04 (~node65(c_p1, s3)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[10761, 4107, 31119])).
% 51.36/34.04 tff(31121,plain,
% 51.36/34.04 (~m_processor_v_cmd(c_p1, s3, c_read_h_shared)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[16686, 11648, 31110])).
% 51.36/34.04 tff(31122,plain,
% 51.36/34.04 (~m_main_v_CMD(s3, c_read_h_shared)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[16693, 3512, 31114, 31121])).
% 51.36/34.04 tff(31123,plain,
% 51.36/34.04 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[10595, 31122])).
% 51.36/34.04 tff(31124,plain,
% 51.36/34.04 (m_processor_v_state(c_p1, s4, c_invalid)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[6848, 6576, 6657])).
% 51.36/34.04 tff(31125,plain,
% 51.36/34.04 (m_processor_v_waiting(c_p1, s5)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[30161, 31124, 6657, 13853])).
% 51.36/34.04 tff(31126,plain,
% 51.36/34.04 (~node56(c_p1, s5)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[19116, 31125])).
% 51.36/34.04 tff(31127,plain,
% 51.36/34.04 (~node56(c_p1, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[6584, 6576])).
% 51.36/34.04 tff(31128,plain,
% 51.36/34.04 (~m_processor_v_writable(c_p1, s4)),
% 51.36/34.04 inference(unit_resolution,[status(thm)],[6573, 31127])).
% 51.36/34.04 tff(31129,plain,
% 51.36/34.04 (m_processor_v_writable(c_p1, s2) | node67(s6) | node67(s9) | node67(s8) | node67(s5) | node67(s7) | m_processor_v_writable(c_p1, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[22272, 5666])).
% 51.36/34.05 tff(31130,plain,
% 51.36/34.05 (node67(s5)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[31129, 31128, 5932, 5949, 5667, 5668, 5700])).
% 51.36/34.05 tff(31131,plain,
% 51.36/34.05 (m_processor_v_writable(c_p1, s5)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[103, 31130])).
% 51.36/34.05 tff(31132,plain,
% 51.36/34.05 ($false),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[88, 31131, 31126])).
% 51.36/34.05 tff(31133,plain,(m_processor_v_state(c_p1, s4, c_owned) | node67(s8) | node67(s9) | node67(s7) | node67(s6) | m_processor_v_writable(c_p1, s2) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_state(c_p1, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.05 tff(31134,plain,
% 51.36/34.05 (m_processor_v_state(c_p1, s4, c_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[31133, 6657, 5949, 5667, 5668, 21882, 5932, 13853])).
% 51.36/34.05 tff(31135,plain,
% 51.36/34.05 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[6599, 137, 31134])).
% 51.36/34.05 tff(31136,plain,
% 51.36/34.05 (m_processor_v_abort(c_p1, s3)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[12090, 31135, 31103, 9446, 31123, 31113, 31109, 31120, 31118, 31116])).
% 51.36/34.05 tff(31137,plain,
% 51.36/34.05 (node46(c_p1, s3, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[12063, 31136])).
% 51.36/34.05 tff(31138,plain,
% 51.36/34.05 (m_processor_v_waiting(c_p1, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[12055, 31137, 31104])).
% 51.36/34.05 tff(31139,plain,
% 51.36/34.05 (~node56(c_p1, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[6603, 540, 31138])).
% 51.36/34.05 tff(31140,plain,
% 51.36/34.05 (~m_processor_v_writable(c_p1, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[6573, 31139])).
% 51.36/34.05 tff(31141,plain,
% 51.36/34.05 (node67(s5)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[31129, 31140, 5932, 5949, 5667, 5668, 21882])).
% 51.36/34.05 tff(31142,plain,
% 51.36/34.05 (m_processor_v_writable(c_p1, s5)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[103, 31141])).
% 51.36/34.05 tff(31143,plain,
% 51.36/34.05 (node56(c_p1, s5)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[88, 31142])).
% 51.36/34.05 tff(31144,plain,
% 51.36/34.05 (~m_processor_v_waiting(c_p1, s5)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[19116, 31143])).
% 51.36/34.05 tff(31145,plain,
% 51.36/34.05 (~node52(c_p1, s4, s5)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[19535, 31144, 31138])).
% 51.36/34.05 tff(31146,plain,
% 51.36/34.05 (~node46(c_p1, s4, s5)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[23109, 31137, 5932, 5668, 5667, 5949, 5076, 31103])).
% 51.36/34.05 tff(31147,plain,
% 51.36/34.05 (~m_processor_v_abort(c_p1, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[19521, 31146])).
% 51.36/34.05 tff(31148,plain,
% 51.36/34.05 (~m_processor_v_master(c_p1, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[21238, 31144, 19134, 19107, 31147, 31140, 6657])).
% 51.36/34.05 tff(31149,plain,
% 51.36/34.05 (m_processor_v_cmd(c_p1, s4, c_idle)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[1517, 31148])).
% 51.36/34.05 tff(31150,plain,
% 51.36/34.05 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[11528, 31122])).
% 51.36/34.05 tff(31151,plain,
% 51.36/34.05 (~node41(c_p0, s3)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[19799, 8378, 31150])).
% 51.36/34.05 tff(31152,plain,
% 51.36/34.05 (m_processor_v_snoop(c_p0, s3, c_invalid)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[26924, 31103])).
% 51.36/34.05 tff(31153,plain,
% 51.36/34.05 (~node40(c_p0, s3)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[19773, 8367, 31150])).
% 51.36/34.05 tff(31154,plain,
% 51.36/34.05 (m_processor_v_snoop(c_p0, s4, c_invalid)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[22193, 31153, 31152, 31151])).
% 51.36/34.05 tff(31155,plain,
% 51.36/34.05 (~m_processor_v_master(c_p0, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[5370, 794, 31106])).
% 51.36/34.05 tff(31156,plain,
% 51.36/34.05 (~node42(c_p0, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[11284, 8170, 31155])).
% 51.36/34.05 tff(31157,plain,
% 51.36/34.05 (m_main_v_CMD(s2, c_read_h_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[5372, 5076, 31103])).
% 51.36/34.05 tff(31158,plain,
% 51.36/34.05 (~m_main_v_CMD(s2, c_read_h_shared)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[8797, 31157])).
% 51.36/34.05 tff(31159,plain,
% 51.36/34.05 (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[17154, 31158])).
% 51.36/34.05 tff(31160,plain,
% 51.36/34.05 (~node40(c_p0, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[21166, 31159])).
% 51.36/34.05 tff(31161,plain,
% 51.36/34.05 (~node41(c_p0, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[21159, 31159])).
% 51.36/34.05 tff(31162,plain,
% 51.36/34.05 (~node43(c_p0, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[11264, 8159, 31155])).
% 51.36/34.05 tff(31163,plain,
% 51.36/34.05 (~node32(c_p1, s2, s3)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[5107, 5076, 31105])).
% 51.36/34.05 tff(31164,plain,
% 51.36/34.05 (~m_processor_v_abort(c_p1, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[5121, 31163])).
% 51.36/34.05 tff(31165,plain,
% 51.36/34.05 (node60(c_p1, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9293, 31164])).
% 51.36/34.05 tff(31166,plain,
% 51.36/34.05 (~m_processor_v_REPLY_h_STALL(c_p1, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9301, 31165])).
% 51.36/34.05 tff(31167,plain,
% 51.36/34.05 (~m_main_v_REPLY_h_STALL(s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9309, 31166])).
% 51.36/34.05 tff(31168,plain,
% 51.36/34.05 (~m_processor_v_REPLY_h_STALL(c_p0, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9317, 31167])).
% 51.36/34.05 tff(31169,plain,
% 51.36/34.05 (m_processor_v_CMD(c_p1, s2, c_read_h_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[5401, 31157])).
% 51.36/34.05 tff(31170,plain,
% 51.36/34.05 (~node59(c_p1, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[10308, 707, 31169])).
% 51.36/34.05 tff(31171,plain,
% 51.36/34.05 (~m_processor_v_REPLY_h_WAITING(c_p1, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9332, 31170, 31165])).
% 51.36/34.05 tff(31172,plain,
% 51.36/34.05 (~m_main_v_REPLY_h_WAITING(s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9340, 31171])).
% 51.36/34.05 tff(31173,plain,
% 51.36/34.05 (~m_processor_v_REPLY_h_WAITING(c_p0, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9348, 31172])).
% 51.36/34.05 tff(31174,plain,
% 51.36/34.05 (~node61(c_p0, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9356, 31173])).
% 51.36/34.05 tff(31175,plain,
% 51.36/34.05 (~m_processor_v_abort(c_p0, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9365, 31174, 31168])).
% 51.36/34.05 tff(31176,plain,
% 51.36/34.05 (node44(c_p0, s2, s3)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[11278, 31175, 31162, 31161, 31160, 31156])).
% 51.36/34.05 tff(31177,plain,
% 51.36/34.05 (~m_processor_v_snoop(c_p0, s3, c_shared)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[11359, 31176])).
% 51.36/34.05 tff(31178,plain,
% 51.36/34.05 (m_memory_v_CMD(c_m, s2, c_read_h_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9899, 31157])).
% 51.36/34.05 tff(31179,plain,
% 51.36/34.05 (~node30(c_m, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9907, 31178])).
% 51.36/34.05 tff(31180,plain,
% 51.36/34.05 (node7(s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9916, 31167])).
% 51.36/34.05 tff(31181,plain,
% 51.36/34.05 (~m_memory_v_reply_h_stall(c_m, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9924, 31180])).
% 51.36/34.05 tff(31182,plain,
% 51.36/34.05 (~m_memory_v_busy(c_m, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9933, 31181, 31179])).
% 51.36/34.05 tff(31183,plain,
% 51.36/34.05 (m_processor_v_state(c_p0, s3, c_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[21937, 31104, 1752])).
% 51.36/34.05 tff(31184,plain,
% 51.36/34.05 (m_processor_v_state(c_p0, s2, c_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[2775, 31155, 31183])).
% 51.36/34.05 tff(31185,plain,
% 51.36/34.05 (m_processor_v_reply_h_owned(c_p0, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[10173, 10170, 31155, 31184])).
% 51.36/34.05 tff(31186,plain,
% 51.36/34.05 (~node5(s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[10188, 10185, 31185])).
% 51.36/34.05 tff(31187,plain,
% 51.36/34.05 (m_main_v_REPLY_h_OWNED(s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[10199, 10196, 31186])).
% 51.36/34.05 tff(31188,plain,
% 51.36/34.05 (m_memory_v_REPLY_h_OWNED(c_m, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[10560, 31187])).
% 51.36/34.05 tff(31189,plain,
% 51.36/34.05 (~m_memory_v_busy(c_m, s3)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[10452, 31188, 31182])).
% 51.36/34.05 tff(31190,plain,
% 51.36/34.05 (~m_memory_v_busy(c_m, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[22127, 31189, 31103, 31104, 31107, 1752, 31177])).
% 51.36/34.05 tff(31191,plain,
% 51.36/34.05 (~node29(c_m, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[2077, 31190])).
% 51.36/34.05 tff(31192,plain,
% 51.36/34.05 (m_memory_v_cmd(c_m, s4, c_idle)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[1325, 31191])).
% 51.36/34.05 tff(31193,plain,
% 51.36/34.05 (~node48(c_p1, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[19525, 11562, 31148])).
% 51.36/34.05 tff(31194,plain,
% 51.36/34.05 (~node47(c_p1, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[19539, 12108, 31148])).
% 51.36/34.05 tff(31195,plain,
% 51.36/34.05 ($false),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[21124, 31194, 31193, 1752, 31192, 31147, 31154, 31149, 31145])).
% 51.36/34.05 tff(31196,plain,(m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_state(c_p0, s4, c_owned)) | node67(s8) | node67(s9) | node67(s7) | node67(s6) | (~m_processor_v_state(c_p1, s2, c_invalid)) | m_processor_v_cmd(c_p1, s3, c_idle) | (~m_processor_v_state(c_p1, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.05 tff(31197,plain,
% 51.36/34.05 (m_processor_v_state(c_p1, s4, c_shared)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[31196, 9446, 5932, 5949, 5667, 5668, 5076, 1752, 13853])).
% 51.36/34.05 tff(31198,plain,
% 51.36/34.05 (~m_processor_v_state(c_p1, s4, c_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[6591, 121, 31197])).
% 51.36/34.05 tff(31199,plain,
% 51.36/34.05 (~node32(c_p1, s3, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[16477, 31198, 31103])).
% 51.36/34.05 tff(31200,plain,
% 51.36/34.05 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[16723, 977, 31197])).
% 51.36/34.05 tff(31201,plain,
% 51.36/34.05 (m_processor_v_abort(c_p1, s3)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[12090, 31200, 31103, 9446, 31123, 31113, 31109, 31120, 31118, 31116])).
% 51.36/34.05 tff(31202,plain,
% 51.36/34.05 ($false),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[6640, 31201, 31199])).
% 51.36/34.05 tff(31203,plain,(m_processor_v_cmd(c_p1, s3, c_idle) | node67(s8) | node67(s9) | node67(s7) | node67(s6) | (~m_processor_v_state(c_p1, s2, c_invalid)) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_state(c_p1, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.05 tff(31204,plain,
% 51.36/34.05 (m_processor_v_cmd(c_p1, s3, c_idle)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[31203, 5668, 5949, 5667, 5698, 31099, 30634, 13853])).
% 51.36/34.05 tff(31205,plain,
% 51.36/34.05 (~m_processor_v_master(c_p0, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[5370, 794, 31101])).
% 51.36/34.05 tff(31206,plain,
% 51.36/34.05 (~node42(c_p0, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[11284, 8170, 31205])).
% 51.36/34.05 tff(31207,plain,
% 51.36/34.05 (m_main_v_CMD(s2, c_read_h_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[5372, 31099, 30624])).
% 51.36/34.05 tff(31208,plain,
% 51.36/34.05 (~m_main_v_CMD(s2, c_read_h_shared)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[8797, 31207])).
% 51.36/34.05 tff(31209,plain,
% 51.36/34.05 (~m_processor_v_CMD(c_p0, s2, c_read_h_shared)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[17154, 31208])).
% 51.36/34.05 tff(31210,plain,
% 51.36/34.05 (~node40(c_p0, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[21166, 31209])).
% 51.36/34.05 tff(31211,plain,
% 51.36/34.05 (~node41(c_p0, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[21159, 31209])).
% 51.36/34.05 tff(31212,plain,
% 51.36/34.05 (~node43(c_p0, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[11264, 8159, 31205])).
% 51.36/34.05 tff(31213,plain,
% 51.36/34.05 (~node32(c_p1, s2, s3)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[5107, 31099, 30879])).
% 51.36/34.05 tff(31214,plain,
% 51.36/34.05 (~m_processor_v_abort(c_p1, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[5121, 31213])).
% 51.36/34.05 tff(31215,plain,
% 51.36/34.05 (node60(c_p1, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9293, 31214])).
% 51.36/34.05 tff(31216,plain,
% 51.36/34.05 (~m_processor_v_REPLY_h_STALL(c_p1, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9301, 31215])).
% 51.36/34.05 tff(31217,plain,
% 51.36/34.05 (~m_main_v_REPLY_h_STALL(s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9309, 31216])).
% 51.36/34.05 tff(31218,plain,
% 51.36/34.05 (~m_processor_v_REPLY_h_STALL(c_p0, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9317, 31217])).
% 51.36/34.05 tff(31219,plain,
% 51.36/34.05 (m_processor_v_CMD(c_p1, s2, c_read_h_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[5401, 31207])).
% 51.36/34.05 tff(31220,plain,
% 51.36/34.05 (~node59(c_p1, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[10308, 707, 31219])).
% 51.36/34.05 tff(31221,plain,
% 51.36/34.05 (~m_processor_v_REPLY_h_WAITING(c_p1, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9332, 31220, 31215])).
% 51.36/34.05 tff(31222,plain,
% 51.36/34.05 (~m_main_v_REPLY_h_WAITING(s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9340, 31221])).
% 51.36/34.05 tff(31223,plain,
% 51.36/34.05 (~m_processor_v_REPLY_h_WAITING(c_p0, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9348, 31222])).
% 51.36/34.05 tff(31224,plain,
% 51.36/34.05 (~node61(c_p0, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9356, 31223])).
% 51.36/34.05 tff(31225,plain,
% 51.36/34.05 (~m_processor_v_abort(c_p0, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9365, 31224, 31218])).
% 51.36/34.05 tff(31226,plain,
% 51.36/34.05 (node44(c_p0, s2, s3)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[11278, 31225, 31212, 31211, 31210, 31206])).
% 51.36/34.05 tff(31227,plain,
% 51.36/34.05 (~m_processor_v_snoop(c_p0, s3, c_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[11368, 31226])).
% 51.36/34.05 tff(31228,plain,
% 51.36/34.05 (~node64(c_p0, s3)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[11439, 4082, 31227])).
% 51.36/34.05 tff(31229,plain,
% 51.36/34.05 (~m_processor_v_snoop(c_p0, s3, c_shared)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[11359, 31226])).
% 51.36/34.05 tff(31230,plain,
% 51.36/34.05 (~node65(c_p0, s3)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[11471, 4107, 31229])).
% 51.36/34.05 tff(31231,plain,
% 51.36/34.05 (m_processor_v_waiting(c_p1, s3)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[29201, 31099, 30624])).
% 51.36/34.05 tff(31232,plain,
% 51.36/34.05 (m_processor_v_state(c_p0, s3, c_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[21937, 31231, 30634])).
% 51.36/34.05 tff(31233,plain,
% 51.36/34.05 (~node17(s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[5171, 31101])).
% 51.36/34.05 tff(31234,plain,
% 51.36/34.05 (~m_memory_v_master(c_m, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[5179, 31233])).
% 51.36/34.05 tff(31235,plain,
% 51.36/34.05 (~m_memory_v_REPLY_h_STALL(c_m, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9940, 31217])).
% 51.36/34.05 tff(31236,plain,
% 51.36/34.05 (m_memory_v_CMD(c_m, s2, c_read_h_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9899, 31207])).
% 51.36/34.05 tff(31237,plain,
% 51.36/34.05 (~node25(c_m, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9964, 31236])).
% 51.36/34.05 tff(31238,plain,
% 51.36/34.05 (~node30(c_m, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9907, 31236])).
% 51.36/34.05 tff(31239,plain,
% 51.36/34.05 (node7(s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9916, 31217])).
% 51.36/34.05 tff(31240,plain,
% 51.36/34.05 (~m_memory_v_reply_h_stall(c_m, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9924, 31239])).
% 51.36/34.05 tff(31241,plain,
% 51.36/34.05 (~m_memory_v_busy(c_m, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9933, 31240, 31238])).
% 51.36/34.05 tff(31242,plain,
% 51.36/34.05 (~node20(c_m, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9950, 31236])).
% 51.36/34.05 tff(31243,plain,
% 51.36/34.05 (~m_memory_v_REPLY_h_WAITING(c_m, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[10301, 31222])).
% 51.36/34.05 tff(31244,plain,
% 51.36/34.05 (~node27(c_m, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[10294, 31243])).
% 51.36/34.05 tff(31245,plain,
% 51.36/34.05 (~m_processor_v_state(c_p1, s2, c_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[5490, 31099])).
% 51.36/34.05 tff(31246,plain,
% 51.36/34.05 (~node56(c_p1, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[5723, 31245])).
% 51.36/34.05 tff(31247,plain,
% 51.36/34.05 (~m_processor_v_writable(c_p1, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[5713, 31246])).
% 51.36/34.05 tff(31248,plain,
% 51.36/34.05 (m_processor_v_state(c_p0, s2, c_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[2775, 31205, 31232])).
% 51.36/34.05 tff(31249,plain,
% 51.36/34.05 (m_processor_v_reply_h_owned(c_p0, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[10173, 10170, 31205, 31248])).
% 51.36/34.05 tff(31250,plain,
% 51.36/34.05 (~node5(s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[10188, 10185, 31249])).
% 51.36/34.05 tff(31251,plain,
% 51.36/34.05 (m_main_v_REPLY_h_OWNED(s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[10199, 10196, 31250])).
% 51.36/34.05 tff(31252,plain,
% 51.36/34.05 (m_memory_v_REPLY_h_OWNED(c_m, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[10560, 31251])).
% 51.36/34.05 tff(31253,plain,
% 51.36/34.05 (~m_memory_v_busy(c_m, s3)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[10452, 31252, 31241])).
% 51.36/34.05 tff(31254,plain,
% 51.36/34.05 (~m_memory_v_busy(c_m, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[22127, 31253, 30624, 31231, 31102, 30634, 31229])).
% 51.36/34.05 tff(31255,plain,
% 51.36/34.05 (~node29(c_m, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[2077, 31254])).
% 51.36/34.05 tff(31256,plain,
% 51.36/34.05 (m_memory_v_cmd(c_m, s4, c_idle)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[1325, 31255])).
% 51.36/34.05 tff(31257,plain,
% 51.36/34.05 (m_processor_v_state(c_p1, s4, c_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[16488, 22297, 2595])).
% 51.36/34.05 tff(31258,plain,
% 51.36/34.05 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[6599, 137, 31257])).
% 51.36/34.05 tff(31259,plain,
% 51.36/34.05 (m_processor_v_waiting(c_p1, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[12330, 9816, 2595, 12046, 31258, 9971, 9972, 9969, 10217, 9970, 11796, 5182, 10644, 1752, 2622])).
% 51.36/34.05 tff(31260,plain,
% 51.36/34.05 (m_processor_v_state(c_p0, s3, c_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[21937, 12046, 1752])).
% 51.36/34.05 tff(31261,plain,
% 51.36/34.05 (m_processor_v_state(c_p0, s2, c_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[2775, 2622, 31260])).
% 51.36/34.05 tff(31262,plain,
% 51.36/34.05 (m_processor_v_reply_h_owned(c_p0, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[10173, 10170, 2622, 31261])).
% 51.36/34.05 tff(31263,plain,
% 51.36/34.05 (~node5(s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[10188, 10185, 31262])).
% 51.36/34.05 tff(31264,plain,
% 51.36/34.05 (m_main_v_REPLY_h_OWNED(s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[10199, 10196, 31263])).
% 51.36/34.05 tff(31265,plain,
% 51.36/34.05 (m_memory_v_REPLY_h_OWNED(c_m, s2)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[10560, 31264])).
% 51.36/34.05 tff(31266,plain,
% 51.36/34.05 (~m_memory_v_busy(c_m, s3)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[10452, 31265, 9969])).
% 51.36/34.05 tff(31267,plain,
% 51.36/34.05 (~node29(c_m, s3)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[29190, 2595, 1752])).
% 51.36/34.05 tff(31268,plain,
% 51.36/34.05 (m_memory_v_cmd(c_m, s3, c_idle)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[9510, 31267])).
% 51.36/34.05 tff(31269,plain,
% 51.36/34.05 (~m_main_v_CMD(s3, c_read_h_shared)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[11518, 9596, 31268, 31260])).
% 51.36/34.05 tff(31270,plain,
% 51.36/34.05 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[10595, 31269])).
% 51.36/34.05 tff(31271,plain,
% 51.36/34.05 (~node47(c_p1, s3)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[6804, 657, 31270])).
% 51.36/34.05 tff(31272,plain,
% 51.36/34.05 (~m_processor_v_state(c_p0, s2, c_invalid)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[11716, 9816, 9596, 6880, 9550, 23093, 9826, 23092])).
% 51.36/34.05 tff(31273,plain,
% 51.36/34.05 (m_processor_v_state(c_p1, s2, c_invalid)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[5074, 31272])).
% 51.36/34.05 tff(31274,plain,
% 51.36/34.05 (~node46(c_p1, s3, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[23109, 31273, 5949, 5668, 5667, 19504, 5932, 2595])).
% 51.36/34.05 tff(31275,plain,
% 51.36/34.05 (~m_processor_v_abort(c_p1, s3)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[12063, 31274])).
% 51.36/34.05 tff(31276,plain,
% 51.36/34.05 (node60(c_p1, s3)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[11803, 31275])).
% 51.36/34.05 tff(31277,plain,
% 51.36/34.05 (m_processor_v_waiting(c_p1, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[12125, 21879, 12117])).
% 51.36/34.05 tff(31278,plain,
% 51.36/34.05 (m_processor_v_waiting(c_p1, s5)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[19513, 31277, 19504])).
% 51.36/34.05 tff(31279,plain,
% 51.36/34.05 (~node56(c_p1, s5)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[19116, 31278])).
% 51.36/34.05 tff(31280,plain,
% 51.36/34.05 (~m_processor_v_writable(c_p1, s5)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[88, 31279])).
% 51.36/34.05 tff(31281,plain,
% 51.36/34.05 (~node67(s5)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[103, 31280])).
% 51.36/34.05 tff(31282,plain,
% 51.36/34.05 (m_processor_v_writable(c_p1, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[22272, 31281, 5932, 21882, 5949, 5668, 5667, 21260])).
% 51.36/34.05 tff(31283,plain,
% 51.36/34.05 (node56(c_p1, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[6573, 31282])).
% 51.36/34.05 tff(31284,plain,
% 51.36/34.05 ($false),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[6603, 540, 31283, 31277])).
% 51.36/34.05 tff(31285,plain,((~m_processor_v_state(c_p1, s2, c_invalid)) | node67(s8) | node67(s9) | node67(s6) | node67(s7) | (~node46(c_p1, s4, s5)) | (~node52(c_p1, s3, s4)) | (~m_processor_v_state(c_p1, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.05 tff(31286,plain,
% 51.36/34.05 (~node52(c_p1, s3, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[31285, 31273, 5949, 5668, 5667, 19504, 5932, 2595])).
% 51.36/34.05 tff(31287,plain,
% 51.36/34.05 (~m_main_v_CMD(s3, c_idle)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[12168, 31275, 31286, 12137, 12136])).
% 51.36/34.05 tff(31288,plain,
% 51.36/34.05 ($false),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[11962, 31287, 31276, 1752, 9596, 9550, 9816])).
% 51.36/34.05 tff(31289,plain,(m_processor_v_waiting(c_p0, s4) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_cmd(c_p1, s3, c_idle)) | (~m_memory_v_cmd(c_m, s3, c_idle)) | node48(c_p1, s3) | node47(c_p1, s3) | node67(s9) | node67(s6) | node67(s7) | (~node46(c_p1, s4, s5)) | node67(s8) | (~m_processor_v_state(c_p1, s3, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.05 tff(31290,plain,
% 51.36/34.05 (~node46(c_p1, s4, s5)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[31289, 9816, 1752, 9596, 31268, 22305, 5949, 5668, 5667, 31271, 5932, 2595])).
% 51.36/34.05 tff(31291,plain,
% 51.36/34.05 (~m_processor_v_abort(c_p1, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[19521, 31290])).
% 51.36/34.05 tff(31292,plain,
% 51.36/34.05 (node52(c_p1, s4, s5)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[22767, 31291, 2595, 22297, 31266, 29096, 1620, 19851, 1752, 19853])).
% 51.36/34.05 tff(31293,plain,
% 51.36/34.05 ((~m_processor_v_waiting(c_p1, s5)) | node67(s8) | m_processor_v_writable(c_p1, s2) | node67(s9) | node67(s6) | node67(s7) | (~node52(c_p1, s4, s5))),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[22276, 5666])).
% 51.36/34.05 tff(31294,plain,
% 51.36/34.05 (~m_processor_v_waiting(c_p1, s5)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[31293, 31292, 5668, 5949, 5932, 5667, 5700])).
% 51.36/34.05 tff(31295,plain,
% 51.36/34.05 ($false),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[19535, 31294, 31292, 31259])).
% 51.36/34.05 tff(31296,plain,(m_processor_v_waiting(c_p0, s4) | node67(s6) | node67(s9) | node67(s8) | node67(s7) | m_processor_v_writable(c_p1, s2) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_cmd(c_p1, s4, c_idle)) | node48(c_p1, s4) | (~m_processor_v_state(c_p0, s4, c_owned)) | node47(c_p1, s4) | (~m_processor_v_waiting(c_p1, s3)) | node27(c_m, s2) | node20(c_m, s2) | m_memory_v_busy(c_m, s2) | node25(c_m, s2) | m_memory_v_REPLY_h_STALL(c_m, s2) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | m_memory_v_master(c_m, s2) | m_processor_v_master(c_p0, s2) | (~m_processor_v_cmd(c_p1, s3, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.05 tff(31297,plain,
% 51.36/34.05 (m_processor_v_waiting(c_p0, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[31296, 19541, 5949, 5932, 5667, 5700, 2595, 5668, 19526, 1752, 19540, 12046, 9971, 9972, 9969, 10217, 9970, 11796, 5182, 2622, 9596])).
% 51.36/34.05 tff(31298,plain,
% 51.36/34.05 (~node46(c_p0, s4, s5)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[23302, 31297, 5949, 5932, 5667, 5668, 2621])).
% 51.36/34.05 tff(31299,plain,
% 51.36/34.05 (~m_processor_v_abort(c_p0, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[23310, 31298])).
% 51.36/34.05 tff(31300,plain,
% 51.36/34.05 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[11528, 31269])).
% 51.36/34.05 tff(31301,plain,
% 51.36/34.05 (~node41(c_p0, s3)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[19799, 8378, 31300])).
% 51.36/34.05 tff(31302,plain,
% 51.36/34.05 (~node40(c_p0, s3)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[19773, 8367, 31300])).
% 51.36/34.05 tff(31303,plain,
% 51.36/34.05 (m_processor_v_snoop(c_p0, s4, c_invalid)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[22193, 31302, 29096, 31301])).
% 51.36/34.05 tff(31304,plain,
% 51.36/34.05 (~m_processor_v_snoop(c_p0, s4, c_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[21056, 4071, 31303])).
% 51.36/34.05 tff(31305,plain,
% 51.36/34.05 (~m_processor_v_snoop(c_p0, s4, c_shared)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[21061, 4096, 31303])).
% 51.36/34.05 tff(31306,plain,
% 51.36/34.05 (~node52(c_p0, s4, s5)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[22966, 31297, 5949, 5668, 5667, 2621, 5932])).
% 51.36/34.05 tff(31307,plain,
% 51.36/34.05 (m_processor_v_REPLY_h_STALL(c_p0, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[22956, 31306, 1752, 19541, 31305, 1519, 31304])).
% 51.36/34.05 tff(31308,plain,
% 51.36/34.05 (~node60(c_p0, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[1368, 31307])).
% 51.36/34.05 tff(31309,plain,
% 51.36/34.05 ($false),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[1353, 31308, 31299])).
% 51.36/34.05 tff(31310,plain,(m_processor_v_master(c_p1, s4) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_memory_v_cmd(c_m, s4, c_idle)) | node67(s9) | node67(s8) | node67(s7) | node67(s6) | m_processor_v_writable(c_p1, s2) | (~m_processor_v_state(c_p1, s3, c_owned)) | (~m_processor_v_waiting(c_p1, s3)) | node27(c_m, s2) | node20(c_m, s2) | m_memory_v_busy(c_m, s2) | node25(c_m, s2) | m_memory_v_REPLY_h_STALL(c_m, s2) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | m_memory_v_master(c_m, s2) | m_processor_v_master(c_p0, s2) | (~m_processor_v_cmd(c_p1, s3, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.05 tff(31311,plain,
% 51.36/34.05 (m_processor_v_master(c_p1, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[31310, 30634, 31256, 5949, 5698, 5667, 5668, 31247, 30624, 31231, 31244, 31242, 31241, 31237, 31235, 31102, 31234, 31205, 31204])).
% 51.36/34.05 tff(31312,plain,
% 51.36/34.05 (~m_processor_v_snoop(c_p1, s3, c_shared)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[12038, 4096, 31102])).
% 51.36/34.05 tff(31313,plain,
% 51.36/34.05 (~node65(c_p1, s3)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[10761, 4107, 31312])).
% 51.36/34.05 tff(31314,plain,
% 51.36/34.05 (~m_processor_v_snoop(c_p1, s3, c_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[12043, 4071, 31102])).
% 51.36/34.05 tff(31315,plain,
% 51.36/34.05 (~node64(c_p1, s3)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[10718, 4082, 31314])).
% 51.36/34.05 tff(31316,plain,
% 51.36/34.05 (~m_processor_v_cmd(c_p1, s3, c_write_h_invalid)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[12098, 3630, 31204])).
% 51.36/34.05 tff(31317,plain,
% 51.36/34.05 (~m_processor_v_master(c_p1, s3)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[30999, 31316, 30884, 30997, 31102, 31315, 31313])).
% 51.36/34.05 tff(31318,plain,
% 51.36/34.05 (m_processor_v_state(c_p1, s4, c_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[16488, 31317, 30624])).
% 51.36/34.05 tff(31319,plain,
% 51.36/34.05 (~m_processor_v_state(c_p1, s4, c_shared)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[17386, 31317, 30883])).
% 51.36/34.05 tff(31320,plain,
% 51.36/34.05 (~node63(c_p1, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[12632, 1809, 31319])).
% 51.36/34.05 tff(31321,plain,
% 51.36/34.05 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[6599, 137, 31318])).
% 51.36/34.05 tff(31322,plain,
% 51.36/34.05 (~node62(c_p1, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[12628, 1633, 31321])).
% 51.36/34.05 tff(31323,plain,
% 51.36/34.05 (~node16(s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[12622, 31311])).
% 51.36/34.05 tff(31324,plain,
% 51.36/34.05 (~m_processor_v_master(c_p2, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[1550, 31323])).
% 51.36/34.05 tff(31325,plain,
% 51.36/34.05 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[1582, 31324])).
% 51.36/34.05 tff(31326,plain,
% 51.36/34.05 (~m_processor_v_master(c_p0, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[1437, 31311])).
% 51.36/34.05 tff(31327,plain,
% 51.36/34.05 (m_processor_v_cmd(c_p0, s4, c_idle)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[12616, 31326])).
% 51.36/34.05 tff(31328,plain,
% 51.36/34.05 (~m_processor_v_cmd(c_p1, s4, c_idle)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[12699, 31311, 31320, 31322, 31318])).
% 51.36/34.05 tff(31329,plain,
% 51.36/34.05 (~node9(s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[12703, 3443, 31328])).
% 51.36/34.05 tff(31330,plain,
% 51.36/34.05 (node10(s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[12714, 31329, 31256, 31327, 31325])).
% 51.36/34.05 tff(31331,plain,
% 51.36/34.05 (~m_main_v_CMD(s3, c_read_h_shared)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[11518, 31204, 30881, 31232])).
% 51.36/34.05 tff(31332,plain,
% 51.36/34.05 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[10595, 31331])).
% 51.36/34.05 tff(31333,plain,
% 51.36/34.05 (~node40(c_p1, s3)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[12736, 8367, 31332])).
% 51.36/34.05 tff(31334,plain,
% 51.36/34.05 (~node41(c_p1, s3)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[12740, 8378, 31332])).
% 51.36/34.05 tff(31335,plain,
% 51.36/34.05 (m_processor_v_snoop(c_p1, s4, c_invalid)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[17453, 31317, 31102, 31334, 31333])).
% 51.36/34.05 tff(31336,plain,
% 51.36/34.05 (~m_processor_v_snoop(c_p1, s4, c_shared)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[17464, 4096, 31335])).
% 51.36/34.05 tff(31337,plain,
% 51.36/34.05 (~node65(c_p1, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[12663, 4107, 31336])).
% 51.36/34.05 tff(31338,plain,
% 51.36/34.05 (~m_processor_v_snoop(c_p1, s4, c_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[17457, 4071, 31335])).
% 51.36/34.05 tff(31339,plain,
% 51.36/34.05 (~node64(c_p1, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[12697, 4082, 31338])).
% 51.36/34.05 tff(31340,plain,
% 51.36/34.05 (m_processor_v_cmd(c_p1, s4, c_write_h_invalid) | (~m_processor_v_master(c_p1, s4)) | node62(c_p1, s4) | node64(c_p1, s4) | node65(c_p1, s4) | node63(c_p1, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[12670, 7232, 31318, 31335])).
% 51.36/34.05 tff(31341,plain,
% 51.36/34.05 (m_processor_v_cmd(c_p1, s4, c_write_h_invalid)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[31340, 31311, 31339, 31320, 31322, 31337])).
% 51.36/34.05 tff(31342,plain,
% 51.36/34.05 (~m_processor_v_cmd(c_p1, s4, c_read_h_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[30479, 3716, 31341])).
% 51.36/34.05 tff(31343,plain,
% 51.36/34.05 ((~node10(s4)) | (~m_main_v_CMD(s4, c_read_h_owned))),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[30486, 3512, 31342])).
% 51.36/34.05 tff(31344,plain,
% 51.36/34.05 (~m_main_v_CMD(s4, c_read_h_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[31343, 31330])).
% 51.36/34.05 tff(31345,plain,
% 51.36/34.05 (~m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[2280, 31344])).
% 51.36/34.05 tff(31346,plain,
% 51.36/34.05 (~node34(c_p1, s4, s5)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[21834, 31345, 19134, 19107, 31330, 31322, 31311, 31320, 31318])).
% 51.36/34.05 tff(31347,plain,
% 51.36/34.05 (m_processor_v_abort(c_p1, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[17176, 31346, 31311])).
% 51.36/34.05 tff(31348,plain,
% 51.36/34.05 (node46(c_p1, s4, s5)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[19521, 31347])).
% 51.36/34.05 tff(31349,plain,
% 51.36/34.05 (~node52(c_p1, s3, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[31285, 31348, 5949, 5668, 5667, 31099, 5698, 30624])).
% 51.36/34.05 tff(31350,plain,
% 51.36/34.05 (~node46(c_p1, s3, s4)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[23109, 31348, 5698, 5668, 5667, 5949, 31099, 30624])).
% 51.36/34.05 tff(31351,plain,
% 51.36/34.05 (~m_processor_v_abort(c_p1, s3)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[12063, 31350])).
% 51.36/34.05 tff(31352,plain,
% 51.36/34.05 ($false),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[22316, 31351, 31349, 30881, 31033, 31232, 31231, 31230, 31228, 31204, 31102, 30624])).
% 51.36/34.05 tff(31353,plain,(node67(s6) | node67(s9) | node67(s7) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p1, s8, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.05 tff(31354,plain,
% 51.36/34.05 (m_processor_v_state(c_p1, s8, c_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[31353, 12531, 5949, 13853, 5668])).
% 51.36/34.05 tff(31355,plain,
% 51.36/34.05 (m_processor_v_master(c_p1, s7)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[13152, 31354, 4])).
% 51.36/34.05 tff(31356,plain,
% 51.36/34.05 (~node32(c_p1, s7, s8)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[13031, 31354, 4])).
% 51.36/34.05 tff(31357,plain,
% 51.36/34.05 (~m_processor_v_abort(c_p1, s7)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[13049, 31356])).
% 51.36/34.05 tff(31358,plain,
% 51.36/34.05 (node67(s8)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[6554, 12531, 5949, 5670, 5669, 5668])).
% 51.36/34.05 tff(31359,plain,
% 51.36/34.05 (m_processor_v_writable(c_p1, s8)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[5697, 31358])).
% 51.36/34.05 tff(31360,plain,
% 51.36/34.05 (node56(c_p1, s8)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[5686, 31359])).
% 51.36/34.05 tff(31361,plain,
% 51.36/34.05 (~m_processor_v_waiting(c_p1, s8)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[13159, 31360])).
% 51.36/34.05 tff(31362,plain,
% 51.36/34.05 (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[13171, 31361, 31355, 31357])).
% 51.36/34.05 tff(31363,plain,
% 51.36/34.05 (~m_main_v_CMD(s7, c_read_h_shared)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[13186, 31362])).
% 51.36/34.05 tff(31364,plain,
% 51.36/34.05 (m_main_v_CMD(s7, c_read_h_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[13374, 31363, 4, 31355])).
% 51.36/34.05 tff(31365,plain,
% 51.36/34.05 (m_processor_v_CMD(c_p1, s7, c_read_h_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[13385, 31364])).
% 51.36/34.05 tff(31366,plain,
% 51.36/34.05 (node47(c_p1, s7)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[13393, 31365, 31361, 31357, 31355])).
% 51.36/34.05 tff(31367,plain,
% 51.36/34.05 ($false),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[13397, 657, 31362, 31366])).
% 51.36/34.05 tff(31368,plain,(m_processor_v_state(c_p1, s7, c_owned) | node67(s9) | (~m_processor_v_state(c_p1, s5, c_owned)) | node67(s6) | node67(s4) | node67(s5)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.05 tff(31369,plain,
% 51.36/34.05 (node67(s9)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[31368, 30623, 29571, 30121, 4, 29562])).
% 51.36/34.05 tff(31370,plain,
% 51.36/34.05 (m_processor_v_writable(c_p0, s9)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[14729, 31369])).
% 51.36/34.05 tff(31371,plain,
% 51.36/34.05 (node56(c_p0, s9)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[14737, 31370])).
% 51.36/34.05 tff(31372,plain,
% 51.36/34.05 (m_processor_v_state(c_p0, s9, c_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[14745, 31371])).
% 51.36/34.05 tff(31373,plain,
% 51.36/34.05 (m_processor_v_master(c_p1, s7)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[26782, 30623, 4, 29562, 29571])).
% 51.36/34.05 tff(31374,plain,
% 51.36/34.05 (~m_processor_v_master(c_p0, s7)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[13229, 794, 31373])).
% 51.36/34.05 tff(31375,plain,
% 51.36/34.05 (~m_processor_v_state(c_p0, s8, c_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[14544, 31374, 3])).
% 51.36/34.05 tff(31376,plain,
% 51.36/34.05 (m_processor_v_waiting(c_p0, s9)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[18128, 31375, 31374, 31372])).
% 51.36/34.05 tff(31377,plain,
% 51.36/34.05 ($false),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[14756, 540, 31371, 31376])).
% 51.36/34.05 tff(31378,plain,(m_processor_v_state(c_p1, s7, c_owned) | m_processor_v_state(c_p0, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.05 tff(31379,plain,
% 51.36/34.05 (m_processor_v_state(c_p1, s7, c_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[31378, 3])).
% 51.36/34.05 tff(31380,plain,
% 51.36/34.05 (m_processor_v_state(c_p0, s6, c_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[24975, 5949, 55])).
% 51.36/34.05 tff(31381,plain,
% 51.36/34.05 (m_processor_v_master(c_p0, s6)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[25924, 31380, 3])).
% 51.36/34.05 tff(31382,plain,
% 51.36/34.05 (~m_processor_v_master(c_p1, s6)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[16318, 31381])).
% 51.36/34.05 tff(31383,plain,
% 51.36/34.05 (~m_processor_v_state(c_p1, s6, c_shared)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[19060, 31382, 31379])).
% 51.36/34.05 tff(31384,plain,
% 51.36/34.05 (~m_processor_v_state(c_p0, s5, c_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[30622, 91, 30121])).
% 51.36/34.05 tff(31385,plain,
% 51.36/34.05 ($false),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[19314, 19305, 31384])).
% 51.36/34.05 tff(31386,plain,(~node67(s5)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.05 tff(31387,plain,
% 51.36/34.05 (node67(s6)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[6554, 5949, 29571, 31386, 29589, 29592])).
% 51.36/34.05 tff(31388,plain,
% 51.36/34.05 (m_processor_v_writable(c_p0, s6)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[51, 31387])).
% 51.36/34.05 tff(31389,plain,
% 51.36/34.05 (node56(c_p0, s6)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[33, 31388])).
% 51.36/34.05 tff(31390,plain,
% 51.36/34.05 (((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p0, s6)) | (~node56(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p0, s6)) | (~node56(c_p0, s6)))),
% 51.36/34.05 inference(rewrite,[status(thm)],[])).
% 51.36/34.05 tff(31391,plain,
% 51.36/34.05 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | ((~m_processor_v_waiting(c_p0, s6)) | (~node56(c_p0, s6)))),
% 51.36/34.05 inference(quant_inst,[status(thm)],[])).
% 51.36/34.05 tff(31392,plain,
% 51.36/34.05 ((~![I0: $i, X: $i] : ((~m_processor_v_waiting(I0, X)) | (~node56(I0, X)))) | (~m_processor_v_waiting(c_p0, s6)) | (~node56(c_p0, s6))),
% 51.36/34.05 inference(modus_ponens,[status(thm)],[31391, 31390])).
% 51.36/34.05 tff(31393,plain,
% 51.36/34.05 ($false),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[31392, 540, 6, 25075])).
% 51.36/34.05 tff(31394,plain,((~node56(c_p0, s6)) | (~m_processor_v_waiting(c_p0, s6))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.05 tff(31395,plain,
% 51.36/34.05 (~m_processor_v_waiting(c_p0, s6)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[31394, 31389])).
% 51.36/34.05 tff(31396,plain,
% 51.36/34.05 (~node56(c_p1, s6)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[111, 25741])).
% 51.36/34.05 tff(31397,plain,
% 51.36/34.05 (~m_processor_v_writable(c_p1, s6)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[672, 31396])).
% 51.36/34.05 tff(31398,plain,
% 51.36/34.05 (~node67(s6)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[682, 31397])).
% 51.36/34.05 tff(31399,plain,
% 51.36/34.05 (m_processor_v_state(c_p1, s7, c_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[31368, 5670, 13853, 5949, 5669, 31398])).
% 51.36/34.05 tff(31400,plain,
% 51.36/34.05 (~m_processor_v_state(c_p1, s7, c_shared)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[13520, 31399])).
% 51.36/34.05 tff(31401,plain,
% 51.36/34.05 (~m_processor_v_state(c_p1, s6, c_shared)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[16740, 977, 13439])).
% 51.36/34.05 tff(31402,plain,
% 51.36/34.05 (m_processor_v_master(c_p1, s6)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[13463, 31399, 25741, 31401])).
% 51.36/34.05 tff(31403,plain,
% 51.36/34.05 (~m_processor_v_state(c_p1, s7, c_invalid)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[13403, 137, 31399])).
% 51.36/34.05 tff(31404,plain,
% 51.36/34.05 (m_processor_v_waiting(c_p1, s7)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[25475, 31403, 31397, 31402, 31400])).
% 51.36/34.05 tff(31405,plain,
% 51.36/34.05 (~m_processor_v_master(c_p0, s6)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[16318, 31402])).
% 51.36/34.05 tff(31406,plain,
% 51.36/34.05 (m_processor_v_master(c_p0, s6) | m_processor_v_reply_h_owned(c_p0, s6)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[25481, 10170, 785])).
% 51.36/34.05 tff(31407,plain,
% 51.36/34.05 (m_processor_v_reply_h_owned(c_p0, s6)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[31406, 31405])).
% 51.36/34.05 tff(31408,plain,
% 51.36/34.05 (~node5(s6)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[25489, 31407])).
% 51.36/34.05 tff(31409,plain,
% 51.36/34.05 (m_main_v_REPLY_h_OWNED(s6)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[24252, 31408])).
% 51.36/34.05 tff(31410,plain,
% 51.36/34.05 (m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[24260, 31409])).
% 51.36/34.05 tff(31411,plain,
% 51.36/34.05 (~node32(c_p1, s6, s7)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[13447, 31403, 13439])).
% 51.36/34.05 tff(31412,plain,
% 51.36/34.05 (~m_processor_v_abort(c_p1, s6)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[13472, 31411])).
% 51.36/34.05 tff(31413,plain,
% 51.36/34.05 (~m_memory_v_busy(c_m, s6)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[25694, 31412, 31400, 31402, 31403])).
% 51.36/34.05 tff(31414,plain,
% 51.36/34.05 (~m_memory_v_busy(c_m, s7)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[25438, 31413, 31410])).
% 51.36/34.05 tff(31415,plain,
% 51.36/34.05 (~node29(c_m, s7)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[24392, 31414])).
% 51.36/34.05 tff(31416,plain,
% 51.36/34.05 (m_memory_v_cmd(c_m, s7, c_idle)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[13225, 31415])).
% 51.36/34.05 tff(31417,plain,
% 51.36/34.05 (m_processor_v_waiting(c_p1, s8)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[26121, 31416, 13266, 31399, 31404])).
% 51.36/34.05 tff(31418,plain,
% 51.36/34.05 (~node56(c_p1, s8)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[13159, 31417])).
% 51.36/34.05 tff(31419,plain,
% 51.36/34.05 (~m_processor_v_writable(c_p1, s8)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[5686, 31418])).
% 51.36/34.05 tff(31420,plain,
% 51.36/34.05 (~node67(s8)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[5697, 31419])).
% 51.36/34.05 tff(31421,plain,
% 51.36/34.05 (node67(s7)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[6554, 31420, 5949, 5669, 5670, 31398])).
% 51.36/34.05 tff(31422,plain,
% 51.36/34.05 (m_processor_v_writable(c_p1, s7)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[12530, 31421])).
% 51.36/34.05 tff(31423,plain,
% 51.36/34.05 (node56(c_p1, s7)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[12523, 31422])).
% 51.36/34.05 tff(31424,plain,
% 51.36/34.05 ($false),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[18172, 540, 31423, 31404])).
% 51.36/34.05 tff(31425,plain,(node67(s4) | node67(s9) | node67(s5) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_state(c_p1, s6, c_invalid)) | (~m_processor_v_state(c_p0, s6, c_owned)) | (~m_processor_v_state(c_p1, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.05 tff(31426,plain,
% 51.36/34.05 (~m_processor_v_state(c_p1, s6, c_invalid)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[31425, 31380, 29571, 30121, 31386, 23598, 5949])).
% 51.36/34.05 tff(31427,plain,
% 51.36/34.05 (~m_processor_v_state(c_p0, s6, c_invalid)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[1035, 137, 31380])).
% 51.36/34.05 tff(31428,plain,
% 51.36/34.05 (m_processor_v_state(c_p0, s6, c_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[18, 6])).
% 51.36/34.05 tff(31429,plain,
% 51.36/34.05 (~m_processor_v_waiting(c_p0, s6)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[31394, 6])).
% 51.36/34.05 tff(31430,plain,
% 51.36/34.05 ($false),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[26669, 31429, 31428, 799])).
% 51.36/34.05 tff(31431,plain,((~node56(c_p0, s6)) | m_processor_v_state(c_p0, s5, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.05 tff(31432,plain,
% 51.36/34.05 (m_processor_v_state(c_p0, s5, c_owned)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[31431, 31389])).
% 51.36/34.05 tff(31433,plain,
% 51.36/34.05 (m_processor_v_writable(c_p1, s6)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[682, 31387])).
% 51.36/34.05 tff(31434,plain,
% 51.36/34.05 (node56(c_p1, s6)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[672, 31433])).
% 51.36/34.05 tff(31435,plain,
% 51.36/34.05 (~m_processor_v_waiting(c_p1, s6)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[545, 31434])).
% 51.36/34.05 tff(31436,plain,
% 51.36/34.05 (~m_processor_v_state(c_p0, s6, c_shared)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[809, 31380])).
% 51.36/34.05 tff(31437,plain,
% 51.36/34.05 (~m_processor_v_state(c_p1, s5, c_shared)),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[19106, 30121])).
% 51.36/34.05 tff(31438,assumption,(~m_processor_v_waiting(c_p1, s6)), introduced(assumption)).
% 51.36/34.05 tff(31439,assumption,(node5(s4)), introduced(assumption)).
% 51.36/34.05 tff(31440,assumption,(m_processor_v_reply_h_owned(c_p1, s4)), introduced(assumption)).
% 51.36/34.05 tff(31441,plain,
% 51.36/34.05 (((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))) | ((~node5(s4)) | (~m_processor_v_reply_h_owned(c_p1, s4)))) <=> ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))) | (~node5(s4)) | (~m_processor_v_reply_h_owned(c_p1, s4)))),
% 51.36/34.05 inference(rewrite,[status(thm)],[])).
% 51.36/34.05 tff(31442,plain,
% 51.36/34.05 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))) | ((~node5(s4)) | (~m_processor_v_reply_h_owned(c_p1, s4)))),
% 51.36/34.05 inference(quant_inst,[status(thm)],[])).
% 51.36/34.05 tff(31443,plain,
% 51.36/34.05 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))) | (~node5(s4)) | (~m_processor_v_reply_h_owned(c_p1, s4))),
% 51.36/34.05 inference(modus_ponens,[status(thm)],[31442, 31441])).
% 51.36/34.05 tff(31444,plain,
% 51.36/34.05 ($false),
% 51.36/34.05 inference(unit_resolution,[status(thm)],[31443, 10333, 31439, 31440])).
% 51.36/34.05 tff(31445,plain,((~m_processor_v_reply_h_owned(c_p1, s4)) | (~node5(s4))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.06 tff(31446,plain,
% 51.36/34.06 (~m_processor_v_reply_h_owned(c_p1, s4)),
% 51.36/34.06 inference(unit_resolution,[status(thm)],[31445, 31439])).
% 51.36/34.06 tff(31447,assumption,(~m_processor_v_reply_h_owned(c_p1, s4)), introduced(assumption)).
% 51.36/34.06 tff(31448,plain,
% 51.36/34.06 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p1, s4, c_owned)) | m_processor_v_master(c_p1, s4) | m_processor_v_reply_h_owned(c_p1, s4))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p1, s4, c_owned)) | m_processor_v_master(c_p1, s4) | m_processor_v_reply_h_owned(c_p1, s4))),
% 51.36/34.06 inference(rewrite,[status(thm)],[])).
% 51.36/34.06 tff(31449,plain,
% 51.36/34.06 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p1, s4, c_owned)) | m_processor_v_master(c_p1, s4) | m_processor_v_reply_h_owned(c_p1, s4))),
% 51.36/34.06 inference(quant_inst,[status(thm)],[])).
% 51.36/34.06 tff(31450,plain,
% 51.36/34.06 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p1, s4, c_owned)) | m_processor_v_master(c_p1, s4) | m_processor_v_reply_h_owned(c_p1, s4)),
% 51.36/34.06 inference(modus_ponens,[status(thm)],[31449, 31448])).
% 51.36/34.06 tff(31451,plain,
% 51.36/34.06 ((~m_processor_v_state(c_p1, s4, c_owned)) | m_processor_v_master(c_p1, s4)),
% 51.36/34.06 inference(unit_resolution,[status(thm)],[31450, 10170, 31447])).
% 51.36/34.06 tff(31452,plain,
% 51.36/34.06 ($false),
% 51.36/34.06 inference(unit_resolution,[status(thm)],[31451, 19132, 1439])).
% 51.36/34.06 tff(31453,plain,(m_processor_v_master(c_p1, s4) | m_processor_v_reply_h_owned(c_p1, s4) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p1, s4, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.06 tff(31454,plain,
% 51.36/34.06 (m_processor_v_master(c_p1, s4)),
% 51.36/34.06 inference(unit_resolution,[status(thm)],[31453, 31446, 13853, 6657])).
% 51.36/34.06 tff(31455,plain,
% 51.36/34.06 (~m_processor_v_master(c_p0, s4)),
% 51.36/34.06 inference(unit_resolution,[status(thm)],[1437, 31454])).
% 51.36/34.06 tff(31456,assumption,(~m_processor_v_reply_h_owned(c_p0, s4)), introduced(assumption)).
% 51.36/34.06 tff(31457,plain,
% 51.36/34.06 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_master(c_p0, s4) | m_processor_v_reply_h_owned(c_p0, s4))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_master(c_p0, s4) | m_processor_v_reply_h_owned(c_p0, s4))),
% 51.36/34.06 inference(rewrite,[status(thm)],[])).
% 51.36/34.06 tff(31458,plain,
% 51.36/34.06 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_master(c_p0, s4) | m_processor_v_reply_h_owned(c_p0, s4))),
% 51.36/34.06 inference(quant_inst,[status(thm)],[])).
% 51.36/34.06 tff(31459,plain,
% 51.36/34.06 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_master(c_p0, s4) | m_processor_v_reply_h_owned(c_p0, s4)),
% 51.36/34.06 inference(modus_ponens,[status(thm)],[31458, 31457])).
% 51.36/34.06 tff(31460,plain,
% 51.36/34.06 ($false),
% 51.36/34.06 inference(unit_resolution,[status(thm)],[31459, 10170, 1126, 1752, 31456])).
% 51.36/34.06 tff(31461,plain,(m_processor_v_reply_h_owned(c_p0, s4) | m_processor_v_master(c_p0, s4) | (~m_processor_v_state(c_p0, s4, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.06 tff(31462,plain,
% 51.36/34.06 (m_processor_v_reply_h_owned(c_p0, s4)),
% 51.36/34.06 inference(unit_resolution,[status(thm)],[31461, 31455, 1752])).
% 51.36/34.06 tff(31463,plain,
% 51.36/34.06 (((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | ((~node5(s4)) | (~m_processor_v_reply_h_owned(c_p0, s4)))) <=> ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | (~node5(s4)) | (~m_processor_v_reply_h_owned(c_p0, s4)))),
% 51.36/34.06 inference(rewrite,[status(thm)],[])).
% 51.36/34.06 tff(31464,plain,
% 51.36/34.06 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | ((~node5(s4)) | (~m_processor_v_reply_h_owned(c_p0, s4)))),
% 51.36/34.06 inference(quant_inst,[status(thm)],[])).
% 51.36/34.06 tff(31465,plain,
% 51.36/34.06 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p0, X)))) | (~node5(s4)) | (~m_processor_v_reply_h_owned(c_p0, s4))),
% 51.36/34.06 inference(modus_ponens,[status(thm)],[31464, 31463])).
% 51.36/34.06 tff(31466,plain,
% 51.36/34.06 ($false),
% 51.36/34.06 inference(unit_resolution,[status(thm)],[31465, 10185, 31462, 31439])).
% 51.36/34.06 tff(31467,plain,((~node5(s4)) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p1, s4, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.06 tff(31468,plain,
% 51.36/34.06 (~node5(s4)),
% 51.36/34.06 inference(unit_resolution,[status(thm)],[31467, 6657, 13853, 1752])).
% 51.36/34.06 tff(31469,assumption,(~node5(s4)), introduced(assumption)).
% 51.36/34.06 tff(31470,plain,
% 51.36/34.06 (((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | (m_main_v_REPLY_h_OWNED(s4) | node5(s4))) <=> ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | m_main_v_REPLY_h_OWNED(s4) | node5(s4))),
% 51.36/34.06 inference(rewrite,[status(thm)],[])).
% 51.36/34.06 tff(31471,plain,
% 51.36/34.06 ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | (m_main_v_REPLY_h_OWNED(s4) | node5(s4))),
% 51.36/34.06 inference(quant_inst,[status(thm)],[])).
% 51.36/34.06 tff(31472,plain,
% 51.36/34.06 ((~![X: $i] : (m_main_v_REPLY_h_OWNED(X) | node5(X))) | m_main_v_REPLY_h_OWNED(s4) | node5(s4)),
% 51.36/34.06 inference(modus_ponens,[status(thm)],[31471, 31470])).
% 51.36/34.06 tff(31473,plain,
% 51.36/34.06 ($false),
% 51.36/34.06 inference(unit_resolution,[status(thm)],[31472, 10196, 28292, 31469])).
% 51.36/34.06 tff(31474,plain,(m_main_v_REPLY_h_OWNED(s4) | node5(s4)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.06 tff(31475,plain,
% 51.36/34.06 (m_main_v_REPLY_h_OWNED(s4)),
% 51.36/34.06 inference(unit_resolution,[status(thm)],[31474, 31468])).
% 51.36/34.06 tff(31476,assumption,(m_main_v_REPLY_h_OWNED(s4)), introduced(assumption)).
% 51.36/34.06 tff(31477,plain,
% 51.36/34.06 (((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | ((~m_main_v_REPLY_h_OWNED(s4)) | m_memory_v_REPLY_h_OWNED(c_m, s4))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | (~m_main_v_REPLY_h_OWNED(s4)) | m_memory_v_REPLY_h_OWNED(c_m, s4))),
% 51.36/34.06 inference(rewrite,[status(thm)],[])).
% 51.36/34.06 tff(31478,plain,
% 51.36/34.06 ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | ((~m_main_v_REPLY_h_OWNED(s4)) | m_memory_v_REPLY_h_OWNED(c_m, s4))),
% 51.36/34.06 inference(quant_inst,[status(thm)],[])).
% 51.36/34.06 tff(31479,plain,
% 51.36/34.06 ((~![X: $i] : ((~m_main_v_REPLY_h_OWNED(X)) | m_memory_v_REPLY_h_OWNED(c_m, X))) | (~m_main_v_REPLY_h_OWNED(s4)) | m_memory_v_REPLY_h_OWNED(c_m, s4)),
% 51.36/34.06 inference(modus_ponens,[status(thm)],[31478, 31477])).
% 51.36/34.06 tff(31480,plain,
% 51.36/34.06 ($false),
% 51.36/34.06 inference(unit_resolution,[status(thm)],[31479, 10210, 28300, 31476])).
% 51.36/34.06 tff(31481,plain,(m_memory_v_REPLY_h_OWNED(c_m, s4) | (~m_main_v_REPLY_h_OWNED(s4))), inference(lemma,lemma(discharge,[]))).
% 51.36/34.06 tff(31482,plain,
% 51.36/34.06 (m_memory_v_REPLY_h_OWNED(c_m, s4)),
% 51.36/34.06 inference(unit_resolution,[status(thm)],[31481, 31475])).
% 51.36/34.06 tff(31483,plain,
% 51.36/34.06 (~node29(c_m, s4)),
% 51.36/34.06 inference(unit_resolution,[status(thm)],[30234, 6657, 5656, 30179, 13853])).
% 51.36/34.06 tff(31484,plain,
% 51.36/34.06 (m_memory_v_cmd(c_m, s4, c_idle)),
% 51.36/34.06 inference(unit_resolution,[status(thm)],[1325, 31483])).
% 51.36/34.06 tff(31485,plain,
% 51.36/34.06 (m_processor_v_waiting(c_p1, s5)),
% 51.36/34.06 inference(unit_resolution,[status(thm)],[30199, 31484, 1069, 6657, 5656, 1752, 13853])).
% 51.36/34.06 tff(31486,assumption,(node46(c_p1, s5, s6)), introduced(assumption)).
% 51.36/34.06 tff(31487,plain,
% 51.36/34.06 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p1, s5)) | m_processor_v_waiting(c_p1, s6) | (~node46(c_p1, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s5)) | m_processor_v_waiting(c_p1, s6) | (~node46(c_p1, s5, s6)))),
% 51.36/34.06 inference(rewrite,[status(thm)],[])).
% 51.36/34.06 tff(31488,plain,
% 51.36/34.06 ((m_processor_v_waiting(c_p1, s6) | (~m_processor_v_waiting(c_p1, s5)) | (~node46(c_p1, s5, s6))) <=> ((~m_processor_v_waiting(c_p1, s5)) | m_processor_v_waiting(c_p1, s6) | (~node46(c_p1, s5, s6)))),
% 51.36/34.06 inference(rewrite,[status(thm)],[])).
% 51.36/34.06 tff(31489,plain,
% 51.36/34.06 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s6) | (~m_processor_v_waiting(c_p1, s5)) | (~node46(c_p1, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p1, s5)) | m_processor_v_waiting(c_p1, s6) | (~node46(c_p1, s5, s6))))),
% 51.36/34.06 inference(monotonicity,[status(thm)],[31488])).
% 51.36/34.06 tff(31490,plain,
% 51.36/34.06 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s6) | (~m_processor_v_waiting(c_p1, s5)) | (~node46(c_p1, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s5)) | m_processor_v_waiting(c_p1, s6) | (~node46(c_p1, s5, s6)))),
% 51.36/34.06 inference(transitivity,[status(thm)],[31489, 31487])).
% 51.36/34.06 tff(31491,plain,
% 51.36/34.06 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s6) | (~m_processor_v_waiting(c_p1, s5)) | (~node46(c_p1, s5, s6)))),
% 51.36/34.06 inference(quant_inst,[status(thm)],[])).
% 51.36/34.06 tff(31492,plain,
% 51.36/34.06 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s5)) | m_processor_v_waiting(c_p1, s6) | (~node46(c_p1, s5, s6))),
% 51.36/34.06 inference(modus_ponens,[status(thm)],[31491, 31490])).
% 51.36/34.06 tff(31493,plain,
% 51.36/34.06 ($false),
% 51.36/34.06 inference(unit_resolution,[status(thm)],[31492, 11708, 19111, 31438, 31486])).
% 51.36/34.06 tff(31494,plain,((~node46(c_p1, s5, s6)) | (~m_processor_v_waiting(c_p1, s5)) | m_processor_v_waiting(c_p1, s6)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.06 tff(31495,plain,
% 51.36/34.06 (~node46(c_p1, s5, s6)),
% 51.36/34.06 inference(unit_resolution,[status(thm)],[31494, 31438, 19111])).
% 51.36/34.06 tff(31496,plain,
% 51.36/34.06 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s5)) | (~node53(c_p1, s5, s6)) | node46(c_p1, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p1, s5)) | (~node53(c_p1, s5, s6)) | node46(c_p1, s5, s6))),
% 51.36/34.06 inference(rewrite,[status(thm)],[])).
% 51.36/34.06 tff(31497,plain,
% 51.36/34.06 (((~m_processor_v_abort(c_p1, s5)) | node46(c_p1, s5, s6) | (~node53(c_p1, s5, s6))) <=> ((~m_processor_v_abort(c_p1, s5)) | (~node53(c_p1, s5, s6)) | node46(c_p1, s5, s6))),
% 51.36/34.06 inference(rewrite,[status(thm)],[])).
% 51.36/34.06 tff(31498,plain,
% 51.36/34.06 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s5)) | node46(c_p1, s5, s6) | (~node53(c_p1, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s5)) | (~node53(c_p1, s5, s6)) | node46(c_p1, s5, s6)))),
% 51.36/34.06 inference(monotonicity,[status(thm)],[31497])).
% 51.36/34.06 tff(31499,plain,
% 51.36/34.06 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s5)) | node46(c_p1, s5, s6) | (~node53(c_p1, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p1, s5)) | (~node53(c_p1, s5, s6)) | node46(c_p1, s5, s6))),
% 51.36/34.06 inference(transitivity,[status(thm)],[31498, 31496])).
% 51.36/34.06 tff(31500,plain,
% 51.36/34.06 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p1, s5)) | node46(c_p1, s5, s6) | (~node53(c_p1, s5, s6)))),
% 51.36/34.06 inference(quant_inst,[status(thm)],[])).
% 51.36/34.06 tff(31501,plain,
% 51.36/34.06 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p1, s5)) | (~node53(c_p1, s5, s6)) | node46(c_p1, s5, s6)),
% 51.36/34.06 inference(modus_ponens,[status(thm)],[31500, 31499])).
% 51.36/34.06 tff(31502,plain,
% 51.36/34.06 ((~m_processor_v_abort(c_p1, s5)) | node46(c_p1, s5, s6)),
% 51.36/34.06 inference(unit_resolution,[status(thm)],[31501, 11690, 579])).
% 51.36/34.06 tff(31503,plain,
% 51.36/34.06 (~m_processor_v_abort(c_p1, s5)),
% 51.36/34.06 inference(unit_resolution,[status(thm)],[31502, 31495])).
% 51.36/34.06 tff(31504,plain,
% 51.36/34.06 (node60(c_p1, s5)),
% 51.36/34.06 inference(unit_resolution,[status(thm)],[698, 31503])).
% 51.36/34.06 tff(31505,assumption,(node52(c_p1, s5, s6)), introduced(assumption)).
% 51.36/34.06 tff(31506,plain,
% 51.36/34.06 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p1, s5)) | m_processor_v_waiting(c_p1, s6) | (~node52(c_p1, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s5)) | m_processor_v_waiting(c_p1, s6) | (~node52(c_p1, s5, s6)))),
% 51.36/34.06 inference(rewrite,[status(thm)],[])).
% 51.36/34.06 tff(31507,plain,
% 51.36/34.06 ((m_processor_v_waiting(c_p1, s6) | (~m_processor_v_waiting(c_p1, s5)) | (~node52(c_p1, s5, s6))) <=> ((~m_processor_v_waiting(c_p1, s5)) | m_processor_v_waiting(c_p1, s6) | (~node52(c_p1, s5, s6)))),
% 51.36/34.06 inference(rewrite,[status(thm)],[])).
% 51.36/34.06 tff(31508,plain,
% 51.36/34.06 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s6) | (~m_processor_v_waiting(c_p1, s5)) | (~node52(c_p1, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p1, s5)) | m_processor_v_waiting(c_p1, s6) | (~node52(c_p1, s5, s6))))),
% 51.36/34.06 inference(monotonicity,[status(thm)],[31507])).
% 51.36/34.06 tff(31509,plain,
% 51.36/34.06 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s6) | (~m_processor_v_waiting(c_p1, s5)) | (~node52(c_p1, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s5)) | m_processor_v_waiting(c_p1, s6) | (~node52(c_p1, s5, s6)))),
% 51.36/34.06 inference(transitivity,[status(thm)],[31508, 31506])).
% 51.36/34.06 tff(31510,plain,
% 51.36/34.06 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p1, s6) | (~m_processor_v_waiting(c_p1, s5)) | (~node52(c_p1, s5, s6)))),
% 51.36/34.06 inference(quant_inst,[status(thm)],[])).
% 51.36/34.06 tff(31511,plain,
% 51.36/34.06 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p1, s5)) | m_processor_v_waiting(c_p1, s6) | (~node52(c_p1, s5, s6))),
% 51.36/34.06 inference(modus_ponens,[status(thm)],[31510, 31509])).
% 51.36/34.06 tff(31512,plain,
% 51.36/34.06 ($false),
% 51.36/34.06 inference(unit_resolution,[status(thm)],[31511, 10820, 19111, 31438, 31505])).
% 51.36/34.06 tff(31513,plain,((~node52(c_p1, s5, s6)) | (~m_processor_v_waiting(c_p1, s5)) | m_processor_v_waiting(c_p1, s6)), inference(lemma,lemma(discharge,[]))).
% 51.36/34.06 tff(31514,plain,
% 51.36/34.06 (~node52(c_p1, s5, s6)),
% 51.36/34.06 inference(unit_resolution,[status(thm)],[31513, 31438, 19111])).
% 51.36/34.06 tff(31515,assumption,(~node47(c_p1, s5)), introduced(assumption)).
% 51.36/34.06 tff(31516,plain,
% 51.36/34.06 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | ((~m_processor_v_master(c_p1, s5)) | (~node50(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | (~m_processor_v_master(c_p1, s5)) | (~node50(c_p1, s5)))),
% 51.36/34.06 inference(rewrite,[status(thm)],[])).
% 51.36/34.06 tff(31517,plain,
% 51.36/34.06 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | ((~m_processor_v_master(c_p1, s5)) | (~node50(c_p1, s5)))),
% 51.36/34.06 inference(quant_inst,[status(thm)],[])).
% 51.36/34.06 tff(31518,plain,
% 51.36/34.06 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | (~m_processor_v_master(c_p1, s5)) | (~node50(c_p1, s5))),
% 51.36/34.06 inference(modus_ponens,[status(thm)],[31517, 31516])).
% 51.36/34.06 tff(31519,plain,
% 51.36/34.06 (~node50(c_p1, s5)),
% 51.36/34.06 inference(unit_resolution,[status(thm)],[31518, 16866, 13590])).
% 51.36/34.06 tff(31520,plain,
% 51.36/34.06 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | ((~m_processor_v_master(c_p1, s5)) | (~node51(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | (~m_processor_v_master(c_p1, s5)) | (~node51(c_p1, s5)))),
% 51.36/34.06 inference(rewrite,[status(thm)],[])).
% 51.36/34.06 tff(31521,plain,
% 51.36/34.06 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | ((~m_processor_v_master(c_p1, s5)) | (~node51(c_p1, s5)))),
% 51.36/34.06 inference(quant_inst,[status(thm)],[])).
% 51.36/34.06 tff(31522,plain,
% 51.36/34.06 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | (~m_processor_v_master(c_p1, s5)) | (~node51(c_p1, s5))),
% 51.36/34.06 inference(modus_ponens,[status(thm)],[31521, 31520])).
% 51.36/34.06 tff(31523,plain,
% 51.36/34.06 (~node51(c_p1, s5)),
% 51.36/34.06 inference(unit_resolution,[status(thm)],[31522, 16894, 13590])).
% 51.36/34.06 tff(31524,assumption,(~node52(c_p1, s5, s6)), introduced(assumption)).
% 51.36/34.06 tff(31525,plain,
% 51.36/34.06 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | ((~m_processor_v_master(c_p1, s5)) | (~node49(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | (~m_processor_v_master(c_p1, s5)) | (~node49(c_p1, s5)))),
% 51.36/34.06 inference(rewrite,[status(thm)],[])).
% 51.36/34.06 tff(31526,plain,
% 51.36/34.06 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | ((~m_processor_v_master(c_p1, s5)) | (~node49(c_p1, s5)))),
% 51.36/34.06 inference(quant_inst,[status(thm)],[])).
% 51.36/34.06 tff(31527,plain,
% 51.36/34.06 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | (~m_processor_v_master(c_p1, s5)) | (~node49(c_p1, s5))),
% 51.36/34.06 inference(modus_ponens,[status(thm)],[31526, 31525])).
% 51.36/34.06 tff(31528,plain,
% 51.36/34.06 (~node49(c_p1, s5)),
% 51.36/34.06 inference(unit_resolution,[status(thm)],[31527, 16755, 13590])).
% 51.36/34.06 tff(31529,plain,
% 51.36/34.06 (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)),
% 51.36/34.06 inference(unit_resolution,[status(thm)],[647, 13590, 31438, 31515, 273])).
% 51.36/34.06 tff(31530,plain,
% 51.36/34.06 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | (~node48(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | (~node48(c_p1, s5)))),
% 51.36/34.06 inference(rewrite,[status(thm)],[])).
% 51.36/34.06 tff(31531,plain,
% 51.36/34.06 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p1, s5, c_read_h_owned) | (~node48(c_p1, s5)))),
% 51.36/34.06 inference(quant_inst,[status(thm)],[])).
% 51.36/34.06 tff(31532,plain,
% 51.36/34.06 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p1, s5, c_read_h_owned) | (~node48(c_p1, s5))),
% 51.36/34.06 inference(modus_ponens,[status(thm)],[31531, 31530])).
% 51.36/34.06 tff(31533,plain,
% 51.36/34.06 (~node48(c_p1, s5)),
% 51.36/34.06 inference(unit_resolution,[status(thm)],[31532, 16883, 31529])).
% 51.36/34.06 tff(31534,plain,
% 51.36/34.06 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s5) | node48(c_p1, s5) | node47(c_p1, s5) | node51(c_p1, s5) | node50(c_p1, s5) | node49(c_p1, s5) | (~node53(c_p1, s5, s6)) | node52(c_p1, s5, s6))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p1, s5) | node48(c_p1, s5) | node47(c_p1, s5) | node51(c_p1, s5) | node50(c_p1, s5) | node49(c_p1, s5) | (~node53(c_p1, s5, s6)) | node52(c_p1, s5, s6))),
% 51.36/34.06 inference(rewrite,[status(thm)],[])).
% 51.45/34.06 tff(31535,plain,
% 51.45/34.06 ((m_processor_v_abort(c_p1, s5) | node47(c_p1, s5) | node48(c_p1, s5) | node49(c_p1, s5) | node50(c_p1, s5) | node51(c_p1, s5) | node52(c_p1, s5, s6) | (~node53(c_p1, s5, s6))) <=> (m_processor_v_abort(c_p1, s5) | node48(c_p1, s5) | node47(c_p1, s5) | node51(c_p1, s5) | node50(c_p1, s5) | node49(c_p1, s5) | (~node53(c_p1, s5, s6)) | node52(c_p1, s5, s6))),
% 51.45/34.06 inference(rewrite,[status(thm)],[])).
% 51.45/34.06 tff(31536,plain,
% 51.45/34.06 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s5) | node47(c_p1, s5) | node48(c_p1, s5) | node49(c_p1, s5) | node50(c_p1, s5) | node51(c_p1, s5) | node52(c_p1, s5, s6) | (~node53(c_p1, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s5) | node48(c_p1, s5) | node47(c_p1, s5) | node51(c_p1, s5) | node50(c_p1, s5) | node49(c_p1, s5) | (~node53(c_p1, s5, s6)) | node52(c_p1, s5, s6)))),
% 51.45/34.06 inference(monotonicity,[status(thm)],[31535])).
% 51.45/34.06 tff(31537,plain,
% 51.45/34.06 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s5) | node47(c_p1, s5) | node48(c_p1, s5) | node49(c_p1, s5) | node50(c_p1, s5) | node51(c_p1, s5) | node52(c_p1, s5, s6) | (~node53(c_p1, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p1, s5) | node48(c_p1, s5) | node47(c_p1, s5) | node51(c_p1, s5) | node50(c_p1, s5) | node49(c_p1, s5) | (~node53(c_p1, s5, s6)) | node52(c_p1, s5, s6))),
% 51.45/34.06 inference(transitivity,[status(thm)],[31536, 31534])).
% 51.45/34.06 tff(31538,plain,
% 51.45/34.06 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | (m_processor_v_abort(c_p1, s5) | node47(c_p1, s5) | node48(c_p1, s5) | node49(c_p1, s5) | node50(c_p1, s5) | node51(c_p1, s5) | node52(c_p1, s5, s6) | (~node53(c_p1, s5, s6)))),
% 51.45/34.06 inference(quant_inst,[status(thm)],[])).
% 51.45/34.06 tff(31539,plain,
% 51.45/34.06 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node47(I0, X) | node48(I0, X) | node49(I0, X) | node50(I0, X) | node51(I0, X) | node52(I0, X, Y) | (~node53(I0, X, Y)))) | m_processor_v_abort(c_p1, s5) | node48(c_p1, s5) | node47(c_p1, s5) | node51(c_p1, s5) | node50(c_p1, s5) | node49(c_p1, s5) | (~node53(c_p1, s5, s6)) | node52(c_p1, s5, s6)),
% 51.45/34.06 inference(modus_ponens,[status(thm)],[31538, 31537])).
% 51.45/34.06 tff(31540,plain,
% 51.45/34.06 (m_processor_v_abort(c_p1, s5) | node48(c_p1, s5) | node47(c_p1, s5) | node51(c_p1, s5) | node50(c_p1, s5) | node49(c_p1, s5) | node52(c_p1, s5, s6)),
% 51.45/34.06 inference(unit_resolution,[status(thm)],[31539, 11612, 579])).
% 51.45/34.06 tff(31541,plain,
% 51.45/34.06 ($false),
% 51.45/34.06 inference(unit_resolution,[status(thm)],[31540, 31533, 31528, 31524, 31523, 31515, 273, 31519])).
% 51.45/34.06 tff(31542,plain,((~m_processor_v_master(c_p1, s5)) | node52(c_p1, s5, s6) | node47(c_p1, s5) | m_processor_v_abort(c_p1, s5) | m_processor_v_waiting(c_p1, s6)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.06 tff(31543,plain,
% 51.45/34.06 (~m_processor_v_master(c_p1, s5)),
% 51.45/34.06 inference(unit_resolution,[status(thm)],[31542, 31515, 31514, 31503, 31438])).
% 51.45/34.06 tff(31544,plain,
% 51.45/34.06 (m_processor_v_cmd(c_p1, s5, c_idle)),
% 51.45/34.06 inference(unit_resolution,[status(thm)],[7028, 31543])).
% 51.45/34.06 tff(31545,plain,
% 51.45/34.06 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p1, s5)) | m_processor_v_master(c_p1, s5) | m_processor_v_reply_h_waiting(c_p1, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s5)) | m_processor_v_master(c_p1, s5) | m_processor_v_reply_h_waiting(c_p1, s5))),
% 51.45/34.06 inference(rewrite,[status(thm)],[])).
% 51.45/34.06 tff(31546,plain,
% 51.45/34.06 ((m_processor_v_master(c_p1, s5) | (~m_processor_v_waiting(c_p1, s5)) | m_processor_v_reply_h_waiting(c_p1, s5)) <=> ((~m_processor_v_waiting(c_p1, s5)) | m_processor_v_master(c_p1, s5) | m_processor_v_reply_h_waiting(c_p1, s5))),
% 51.45/34.06 inference(rewrite,[status(thm)],[])).
% 51.45/34.06 tff(31547,plain,
% 51.45/34.06 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s5) | (~m_processor_v_waiting(c_p1, s5)) | m_processor_v_reply_h_waiting(c_p1, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | ((~m_processor_v_waiting(c_p1, s5)) | m_processor_v_master(c_p1, s5) | m_processor_v_reply_h_waiting(c_p1, s5)))),
% 51.45/34.06 inference(monotonicity,[status(thm)],[31546])).
% 51.45/34.06 tff(31548,plain,
% 51.45/34.06 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s5) | (~m_processor_v_waiting(c_p1, s5)) | m_processor_v_reply_h_waiting(c_p1, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s5)) | m_processor_v_master(c_p1, s5) | m_processor_v_reply_h_waiting(c_p1, s5))),
% 51.45/34.06 inference(transitivity,[status(thm)],[31547, 31545])).
% 51.45/34.06 tff(31549,plain,
% 51.45/34.06 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (m_processor_v_master(c_p1, s5) | (~m_processor_v_waiting(c_p1, s5)) | m_processor_v_reply_h_waiting(c_p1, s5))),
% 51.45/34.06 inference(quant_inst,[status(thm)],[])).
% 51.45/34.06 tff(31550,plain,
% 51.45/34.06 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~m_processor_v_waiting(I0, X)) | m_processor_v_reply_h_waiting(I0, X))) | (~m_processor_v_waiting(c_p1, s5)) | m_processor_v_master(c_p1, s5) | m_processor_v_reply_h_waiting(c_p1, s5)),
% 51.45/34.06 inference(modus_ponens,[status(thm)],[31549, 31548])).
% 51.45/34.06 tff(31551,plain,
% 51.45/34.06 (m_processor_v_master(c_p1, s5) | m_processor_v_reply_h_waiting(c_p1, s5)),
% 51.45/34.06 inference(unit_resolution,[status(thm)],[31550, 2296, 19111])).
% 51.45/34.06 tff(31552,plain,
% 51.45/34.06 (m_processor_v_reply_h_waiting(c_p1, s5)),
% 51.45/34.06 inference(unit_resolution,[status(thm)],[31551, 31543])).
% 51.45/34.06 tff(31553,assumption,(m_processor_v_reply_h_waiting(c_p1, s5)), introduced(assumption)).
% 51.45/34.06 tff(31554,plain,
% 51.45/34.06 (((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | ((~node6(s5)) | (~m_processor_v_reply_h_waiting(c_p1, s5)))) <=> ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | (~node6(s5)) | (~m_processor_v_reply_h_waiting(c_p1, s5)))),
% 51.45/34.06 inference(rewrite,[status(thm)],[])).
% 51.45/34.06 tff(31555,plain,
% 51.45/34.06 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | ((~node6(s5)) | (~m_processor_v_reply_h_waiting(c_p1, s5)))),
% 51.45/34.06 inference(quant_inst,[status(thm)],[])).
% 51.45/34.06 tff(31556,plain,
% 51.45/34.06 ((~![X: $i] : ((~node6(X)) | (~m_processor_v_reply_h_waiting(c_p1, X)))) | (~node6(s5)) | (~m_processor_v_reply_h_waiting(c_p1, s5))),
% 51.45/34.06 inference(modus_ponens,[status(thm)],[31555, 31554])).
% 51.45/34.06 tff(31557,plain,
% 51.45/34.06 ($false),
% 51.45/34.06 inference(unit_resolution,[status(thm)],[31556, 8551, 767, 31553])).
% 51.45/34.06 tff(31558,plain,((~m_processor_v_reply_h_waiting(c_p1, s5)) | (~node6(s5))), inference(lemma,lemma(discharge,[]))).
% 51.45/34.06 tff(31559,plain,
% 51.45/34.06 (~node6(s5)),
% 51.45/34.06 inference(unit_resolution,[status(thm)],[31558, 31552])).
% 51.45/34.06 tff(31560,plain,
% 51.45/34.06 (m_main_v_REPLY_h_WAITING(s5)),
% 51.45/34.06 inference(unit_resolution,[status(thm)],[765, 31559])).
% 51.45/34.06 tff(31561,plain,
% 51.45/34.06 (m_processor_v_REPLY_h_WAITING(c_p0, s5)),
% 51.45/34.06 inference(unit_resolution,[status(thm)],[13890, 31560])).
% 51.45/34.06 tff(31562,plain,
% 51.45/34.06 (node59(c_p0, s5)),
% 51.45/34.06 inference(unit_resolution,[status(thm)],[13900, 31561, 13864])).
% 51.45/34.06 tff(31563,assumption,(node59(c_p0, s5)), introduced(assumption)).
% 51.45/34.07 tff(31564,plain,
% 51.45/34.07 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | (~node59(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | (~node59(c_p0, s5)))),
% 51.45/34.07 inference(rewrite,[status(thm)],[])).
% 51.45/34.07 tff(31565,plain,
% 51.45/34.07 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | (~node59(c_p0, s5)))),
% 51.45/34.07 inference(quant_inst,[status(thm)],[])).
% 51.45/34.07 tff(31566,plain,
% 51.45/34.07 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_owned)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | (~node59(c_p0, s5))),
% 51.45/34.07 inference(modus_ponens,[status(thm)],[31565, 31564])).
% 51.45/34.07 tff(31567,plain,
% 51.45/34.07 ($false),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[31566, 707, 1039, 31563])).
% 51.45/34.07 tff(31568,plain,((~node59(c_p0, s5)) | (~m_processor_v_CMD(c_p0, s5, c_read_h_owned))), inference(lemma,lemma(discharge,[]))).
% 51.45/34.07 tff(31569,plain,
% 51.45/34.07 (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[31568, 31562])).
% 51.45/34.07 tff(31570,plain,
% 51.45/34.07 (~node16(s5)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[21320, 7202])).
% 51.45/34.07 tff(31571,plain,
% 51.45/34.07 (~m_processor_v_master(c_p2, s5)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[13953, 31570])).
% 51.45/34.07 tff(31572,plain,
% 51.45/34.07 (~node63(c_p0, s5)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[7057, 1809, 1069])).
% 51.45/34.07 tff(31573,plain,
% 51.45/34.07 (node34(c_p0, s5, s6)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[887, 7202, 835])).
% 51.45/34.07 tff(31574,plain,
% 51.45/34.07 (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[894, 416, 813, 31573])).
% 51.45/34.07 tff(31575,plain,
% 51.45/34.07 (m_processor_v_CMD(c_p0, s5, c_read_h_shared) | (~m_processor_v_CMD(c_p0, s5, c_write_h_invalid))),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[901, 512, 812, 31573, 811])).
% 51.45/34.07 tff(31576,plain,
% 51.45/34.07 (~m_processor_v_CMD(c_p0, s5, c_write_h_invalid)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[31575, 31574])).
% 51.45/34.07 tff(31577,plain,
% 51.45/34.07 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | (~m_main_v_CMD(s5, c_write_h_invalid)) | (~node2(s5)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | (~m_main_v_CMD(s5, c_write_h_invalid)) | (~node2(s5)))),
% 51.45/34.07 inference(rewrite,[status(thm)],[])).
% 51.45/34.07 tff(31578,plain,
% 51.45/34.07 (((~m_main_v_CMD(s5, c_write_h_invalid)) | (~node2(s5)) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid)) <=> (m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | (~m_main_v_CMD(s5, c_write_h_invalid)) | (~node2(s5)))),
% 51.45/34.07 inference(rewrite,[status(thm)],[])).
% 51.45/34.07 tff(31579,plain,
% 51.45/34.07 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s5, c_write_h_invalid)) | (~node2(s5)) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | (~m_main_v_CMD(s5, c_write_h_invalid)) | (~node2(s5))))),
% 51.45/34.07 inference(monotonicity,[status(thm)],[31578])).
% 51.45/34.07 tff(31580,plain,
% 51.45/34.07 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s5, c_write_h_invalid)) | (~node2(s5)) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | (~m_main_v_CMD(s5, c_write_h_invalid)) | (~node2(s5)))),
% 51.45/34.07 inference(transitivity,[status(thm)],[31579, 31577])).
% 51.45/34.07 tff(31581,plain,
% 51.45/34.07 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s5, c_write_h_invalid)) | (~node2(s5)) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid))),
% 51.45/34.07 inference(quant_inst,[status(thm)],[])).
% 51.45/34.07 tff(31582,plain,
% 51.45/34.07 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | (~m_main_v_CMD(s5, c_write_h_invalid)) | (~node2(s5))),
% 51.45/34.07 inference(modus_ponens,[status(thm)],[31581, 31580])).
% 51.45/34.07 tff(31583,plain,
% 51.45/34.07 ($false),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[31582, 1228, 14012, 13841, 912])).
% 51.45/34.07 tff(31584,plain,((~m_main_v_CMD(s5, c_write_h_invalid)) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.07 tff(31585,plain,
% 51.45/34.07 (~m_main_v_CMD(s5, c_write_h_invalid)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[31584, 31576])).
% 51.45/34.07 tff(31586,plain,
% 51.45/34.07 (~m_processor_v_cmd(c_p0, s5, c_write_h_invalid)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[7193, 31585, 7155])).
% 51.45/34.07 tff(31587,plain,
% 51.45/34.07 (m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid))),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[909, 438, 812, 31573, 811])).
% 51.45/34.07 tff(31588,plain,
% 51.45/34.07 (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[31587, 31576, 31574])).
% 51.45/34.07 tff(31589,plain,
% 51.45/34.07 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node2(s5)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node2(s5)))),
% 51.45/34.07 inference(rewrite,[status(thm)],[])).
% 51.45/34.07 tff(31590,plain,
% 51.45/34.07 (((~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node2(s5)) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)) <=> (m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node2(s5)))),
% 51.45/34.07 inference(rewrite,[status(thm)],[])).
% 51.45/34.07 tff(31591,plain,
% 51.45/34.07 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node2(s5)) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node2(s5))))),
% 51.45/34.07 inference(monotonicity,[status(thm)],[31590])).
% 51.45/34.07 tff(31592,plain,
% 51.45/34.07 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node2(s5)) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node2(s5)))),
% 51.45/34.07 inference(transitivity,[status(thm)],[31591, 31589])).
% 51.45/34.07 tff(31593,plain,
% 51.45/34.07 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node2(s5)) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid))),
% 51.45/34.07 inference(quant_inst,[status(thm)],[])).
% 51.45/34.07 tff(31594,plain,
% 51.45/34.07 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node2(s5))),
% 51.45/34.07 inference(modus_ponens,[status(thm)],[31593, 31592])).
% 51.45/34.07 tff(31595,plain,
% 51.45/34.07 ($false),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[31594, 1228, 13841, 915, 13985])).
% 51.45/34.07 tff(31596,plain,((~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.07 tff(31597,plain,
% 51.45/34.07 (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[31596, 31588])).
% 51.45/34.07 tff(31598,plain,
% 51.45/34.07 (~m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[7161, 31597, 7155])).
% 51.45/34.07 tff(31599,plain,
% 51.45/34.07 (m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid) | (~m_processor_v_snoop(c_p0, s5, c_owned)) | (~m_processor_v_master(c_p0, s5)) | node62(c_p0, s5)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[7178, 7172, 1060, 31572])).
% 51.45/34.07 tff(31600,plain,
% 51.45/34.07 (~m_processor_v_snoop(c_p0, s5, c_owned)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[31599, 31598, 7062, 7202])).
% 51.45/34.07 tff(31601,plain,
% 51.45/34.07 (m_processor_v_snoop(c_p0, s5, c_shared)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[7245, 31600, 1060, 7202, 31586, 31572, 7062])).
% 51.45/34.07 tff(31602,plain,
% 51.45/34.07 (~node64(c_p0, s5)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[7199, 4082, 31600])).
% 51.45/34.07 tff(31603,plain,
% 51.45/34.07 ((~m_processor_v_snoop(c_p0, s5, c_shared)) | node64(c_p0, s5) | (~m_processor_v_master(c_p0, s5)) | node62(c_p0, s5) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[7262, 7256, 1060, 31572])).
% 51.45/34.07 tff(31604,plain,
% 51.45/34.07 (m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[31603, 31602, 7062, 7202, 31601])).
% 51.45/34.07 tff(31605,plain,
% 51.45/34.07 (m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_shared))),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[921, 456, 813, 31573, 811])).
% 51.45/34.07 tff(31606,plain,
% 51.45/34.07 (~m_processor_v_CMD(c_p0, s5, c_write_h_shared)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[31605, 31588, 31576, 31574])).
% 51.45/34.07 tff(31607,plain,
% 51.45/34.07 (m_processor_v_CMD(c_p0, s5, c_read_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_invalid) | m_processor_v_CMD(c_p0, s5, c_write_h_shared) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared))),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[938, 492, 813, 31573, 811])).
% 51.45/34.07 tff(31608,plain,
% 51.45/34.07 (~m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[31607, 31606, 31576, 31574, 31588])).
% 51.45/34.07 tff(31609,plain,
% 51.45/34.07 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node2(s5)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node2(s5)))),
% 51.45/34.07 inference(rewrite,[status(thm)],[])).
% 51.45/34.07 tff(31610,plain,
% 51.45/34.07 (((~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node2(s5)) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)) <=> (m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node2(s5)))),
% 51.45/34.07 inference(rewrite,[status(thm)],[])).
% 51.45/34.07 tff(31611,plain,
% 51.45/34.07 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node2(s5)) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | (m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node2(s5))))),
% 51.45/34.07 inference(monotonicity,[status(thm)],[31610])).
% 51.45/34.07 tff(31612,plain,
% 51.45/34.07 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node2(s5)) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node2(s5)))),
% 51.45/34.07 inference(transitivity,[status(thm)],[31611, 31609])).
% 51.45/34.07 tff(31613,plain,
% 51.45/34.07 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | ((~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node2(s5)) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared))),
% 51.45/34.07 inference(quant_inst,[status(thm)],[])).
% 51.45/34.07 tff(31614,plain,
% 51.45/34.07 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node2(X)) | m_processor_v_CMD(c_p0, X, V))) | m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node2(s5))),
% 51.45/34.07 inference(modus_ponens,[status(thm)],[31613, 31612])).
% 51.45/34.07 tff(31615,plain,
% 51.45/34.07 (~m_main_v_CMD(s5, c_write_h_resp_h_shared)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[31614, 1228, 13841, 31608])).
% 51.45/34.07 tff(31616,plain,
% 51.45/34.07 ($false),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[7184, 1669, 31615, 7155, 31604])).
% 51.45/34.07 tff(31617,plain,((~m_processor_v_master(c_p0, s5)) | (~node8(s5)) | (~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | m_processor_v_state(c_p0, s6, c_invalid) | m_processor_v_abort(c_p0, s5)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.07 tff(31618,plain,
% 51.45/34.07 (~node8(s5)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[31617, 7202, 813, 812, 1060, 835, 811])).
% 51.45/34.07 tff(31619,plain,
% 51.45/34.07 (~m_processor_v_cmd(c_p2, s5, c_idle)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[29351, 31618, 7146])).
% 51.45/34.07 tff(31620,plain,
% 51.45/34.07 ($false),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[7120, 31619, 31571])).
% 51.45/34.07 tff(31621,plain,((~m_processor_v_master(c_p0, s5)) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | (~m_memory_v_cmd(c_m, s5, c_idle)) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s6, c_invalid) | (~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_abort(c_p0, s5) | m_processor_v_CMD(c_p0, s5, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.07 tff(31622,plain,
% 51.45/34.07 (~m_processor_v_master(c_p0, s5)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[31621, 31544, 13729, 813, 812, 1060, 835, 31569])).
% 51.45/34.07 tff(31623,plain,
% 51.45/34.07 (m_processor_v_cmd(c_p0, s5, c_idle)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[13657, 31622])).
% 51.45/34.07 tff(31624,plain,
% 51.45/34.07 (((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p1, s5) | (~node48(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p1, s5) | (~node48(c_p1, s5)))),
% 51.45/34.07 inference(rewrite,[status(thm)],[])).
% 51.45/34.07 tff(31625,plain,
% 51.45/34.07 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | (m_processor_v_master(c_p1, s5) | (~node48(c_p1, s5)))),
% 51.45/34.07 inference(quant_inst,[status(thm)],[])).
% 51.45/34.07 tff(31626,plain,
% 51.45/34.07 ((~![I0: $i, X: $i] : (m_processor_v_master(I0, X) | (~node48(I0, X)))) | m_processor_v_master(c_p1, s5) | (~node48(c_p1, s5))),
% 51.45/34.07 inference(modus_ponens,[status(thm)],[31625, 31624])).
% 51.45/34.07 tff(31627,plain,
% 51.45/34.07 (~node48(c_p1, s5)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[31626, 11562, 31543])).
% 51.45/34.07 tff(31628,plain,
% 51.45/34.07 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s5, c_response) | (~node3(s5)) | (~m_processor_v_CMD(c_p1, s5, c_response)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s5, c_response) | (~node3(s5)) | (~m_processor_v_CMD(c_p1, s5, c_response)))),
% 51.45/34.07 inference(rewrite,[status(thm)],[])).
% 51.45/34.07 tff(31629,plain,
% 51.45/34.07 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s5, c_response) | (~node3(s5)) | (~m_processor_v_CMD(c_p1, s5, c_response)))),
% 51.45/34.07 inference(quant_inst,[status(thm)],[])).
% 51.45/34.07 tff(31630,plain,
% 51.45/34.07 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s5, c_response) | (~node3(s5)) | (~m_processor_v_CMD(c_p1, s5, c_response))),
% 51.45/34.07 inference(modus_ponens,[status(thm)],[31629, 31628])).
% 51.45/34.07 tff(31631,plain,
% 51.45/34.07 (~m_processor_v_CMD(c_p1, s5, c_response)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[31630, 1260, 13607, 13700])).
% 51.45/34.07 tff(31632,plain,
% 51.45/34.07 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | ((~node49(c_p1, s5)) | m_processor_v_CMD(c_p1, s5, c_response))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p1, s5)) | m_processor_v_CMD(c_p1, s5, c_response))),
% 51.45/34.07 inference(rewrite,[status(thm)],[])).
% 51.45/34.07 tff(31633,plain,
% 51.45/34.07 ((m_processor_v_CMD(c_p1, s5, c_response) | (~node49(c_p1, s5))) <=> ((~node49(c_p1, s5)) | m_processor_v_CMD(c_p1, s5, c_response))),
% 51.45/34.07 inference(rewrite,[status(thm)],[])).
% 51.45/34.07 tff(31634,plain,
% 51.45/34.07 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p1, s5, c_response) | (~node49(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | ((~node49(c_p1, s5)) | m_processor_v_CMD(c_p1, s5, c_response)))),
% 51.45/34.07 inference(monotonicity,[status(thm)],[31633])).
% 51.45/34.07 tff(31635,plain,
% 51.45/34.07 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p1, s5, c_response) | (~node49(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p1, s5)) | m_processor_v_CMD(c_p1, s5, c_response))),
% 51.45/34.07 inference(transitivity,[status(thm)],[31634, 31632])).
% 51.45/34.07 tff(31636,plain,
% 51.45/34.07 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (m_processor_v_CMD(c_p1, s5, c_response) | (~node49(c_p1, s5)))),
% 51.45/34.07 inference(quant_inst,[status(thm)],[])).
% 51.45/34.07 tff(31637,plain,
% 51.45/34.07 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_response) | (~node49(I0, X)))) | (~node49(c_p1, s5)) | m_processor_v_CMD(c_p1, s5, c_response)),
% 51.45/34.07 inference(modus_ponens,[status(thm)],[31636, 31635])).
% 51.45/34.07 tff(31638,plain,
% 51.45/34.07 (~node49(c_p1, s5)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[31637, 11579, 31631])).
% 51.45/34.07 tff(31639,assumption,(~node48(c_p1, s5)), introduced(assumption)).
% 51.45/34.07 tff(31640,plain,
% 51.45/34.07 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared)))),
% 51.45/34.07 inference(rewrite,[status(thm)],[])).
% 51.45/34.07 tff(31641,plain,
% 51.45/34.07 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | ((~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared)))),
% 51.45/34.07 inference(quant_inst,[status(thm)],[])).
% 51.45/34.07 tff(31642,plain,
% 51.45/34.07 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_shared)))) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared))),
% 51.45/34.07 inference(modus_ponens,[status(thm)],[31641, 31640])).
% 51.45/34.07 tff(31643,plain,
% 51.45/34.07 (~m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[31642, 4285, 13660])).
% 51.45/34.07 tff(31644,plain,
% 51.45/34.07 (((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid)))),
% 51.45/34.07 inference(rewrite,[status(thm)],[])).
% 51.45/34.07 tff(31645,plain,
% 51.45/34.07 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | ((~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid)))),
% 51.45/34.07 inference(quant_inst,[status(thm)],[])).
% 51.45/34.07 tff(31646,plain,
% 51.45/34.07 ((~![I0: $i, X: $i] : ((~m_processor_v_cmd(I0, X, c_idle)) | (~m_processor_v_cmd(I0, X, c_write_h_resp_h_invalid)))) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid))),
% 51.45/34.07 inference(modus_ponens,[status(thm)],[31645, 31644])).
% 51.45/34.07 tff(31647,plain,
% 51.45/34.07 (~m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[31646, 4296, 13660])).
% 51.45/34.07 tff(31648,assumption,(~node49(c_p1, s5)), introduced(assumption)).
% 51.45/34.07 tff(31649,assumption,(~m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared)), introduced(assumption)).
% 51.45/34.07 tff(31650,plain,
% 51.45/34.07 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node8(s5)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node8(s5)))),
% 51.45/34.07 inference(rewrite,[status(thm)],[])).
% 51.45/34.07 tff(31651,plain,
% 51.45/34.07 (((~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node8(s5)) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared)) <=> (m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node8(s5)))),
% 51.45/34.07 inference(rewrite,[status(thm)],[])).
% 51.45/34.07 tff(31652,plain,
% 51.45/34.07 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node8(s5)) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node8(s5))))),
% 51.45/34.07 inference(monotonicity,[status(thm)],[31651])).
% 51.45/34.07 tff(31653,plain,
% 51.45/34.07 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node8(s5)) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node8(s5)))),
% 51.45/34.07 inference(transitivity,[status(thm)],[31652, 31650])).
% 51.45/34.07 tff(31654,plain,
% 51.45/34.07 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node8(s5)) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared))),
% 51.45/34.07 inference(quant_inst,[status(thm)],[])).
% 51.45/34.07 tff(31655,plain,
% 51.45/34.07 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node8(s5))),
% 51.45/34.07 inference(modus_ponens,[status(thm)],[31654, 31653])).
% 51.45/34.07 tff(31656,plain,
% 51.45/34.07 ((~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node8(s5))),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[31655, 2191, 31649])).
% 51.45/34.07 tff(31657,plain,
% 51.45/34.07 (~m_main_v_CMD(s5, c_write_h_resp_h_shared)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[31656, 7155])).
% 51.45/34.07 tff(31658,plain,
% 51.45/34.07 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_shared) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared)) | (~node3(s5)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s5, c_write_h_resp_h_shared) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared)) | (~node3(s5)))),
% 51.45/34.07 inference(rewrite,[status(thm)],[])).
% 51.45/34.07 tff(31659,plain,
% 51.45/34.07 ((m_main_v_CMD(s5, c_write_h_resp_h_shared) | (~node3(s5)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared))) <=> (m_main_v_CMD(s5, c_write_h_resp_h_shared) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared)) | (~node3(s5)))),
% 51.45/34.07 inference(rewrite,[status(thm)],[])).
% 51.45/34.07 tff(31660,plain,
% 51.45/34.07 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_shared) | (~node3(s5)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_shared) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared)) | (~node3(s5))))),
% 51.45/34.07 inference(monotonicity,[status(thm)],[31659])).
% 51.45/34.07 tff(31661,plain,
% 51.45/34.07 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_shared) | (~node3(s5)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s5, c_write_h_resp_h_shared) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared)) | (~node3(s5)))),
% 51.45/34.07 inference(transitivity,[status(thm)],[31660, 31658])).
% 51.45/34.07 tff(31662,plain,
% 51.45/34.07 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_shared) | (~node3(s5)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared)))),
% 51.45/34.07 inference(quant_inst,[status(thm)],[])).
% 51.45/34.07 tff(31663,plain,
% 51.45/34.07 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s5, c_write_h_resp_h_shared) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared)) | (~node3(s5))),
% 51.45/34.07 inference(modus_ponens,[status(thm)],[31662, 31661])).
% 51.45/34.07 tff(31664,plain,
% 51.45/34.07 (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[31663, 1260, 13607, 31657])).
% 51.45/34.07 tff(31665,plain,
% 51.45/34.07 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared) | (~node51(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared) | (~node51(c_p1, s5)))),
% 51.45/34.07 inference(rewrite,[status(thm)],[])).
% 51.45/34.07 tff(31666,plain,
% 51.45/34.07 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | (m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared) | (~node51(c_p1, s5)))),
% 51.45/34.07 inference(quant_inst,[status(thm)],[])).
% 51.45/34.07 tff(31667,plain,
% 51.45/34.07 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_shared) | (~node51(I0, X)))) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared) | (~node51(c_p1, s5))),
% 51.45/34.07 inference(modus_ponens,[status(thm)],[31666, 31665])).
% 51.45/34.07 tff(31668,plain,
% 51.45/34.07 (~node51(c_p1, s5)),
% 51.45/34.07 inference(unit_resolution,[status(thm)],[31667, 11549, 31664])).
% 51.45/34.07 tff(31669,assumption,(~m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid)), introduced(assumption)).
% 51.45/34.07 tff(31670,plain,
% 51.45/34.07 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node8(s5)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node8(s5)))),
% 51.45/34.07 inference(rewrite,[status(thm)],[])).
% 51.45/34.07 tff(31671,plain,
% 51.45/34.07 (((~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node8(s5)) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid)) <=> (m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node8(s5)))),
% 51.45/34.07 inference(rewrite,[status(thm)],[])).
% 51.45/34.07 tff(31672,plain,
% 51.45/34.07 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node8(s5)) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | (m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node8(s5))))),
% 51.45/34.07 inference(monotonicity,[status(thm)],[31671])).
% 51.45/34.07 tff(31673,plain,
% 51.45/34.07 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node8(s5)) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node8(s5)))),
% 51.45/34.08 inference(transitivity,[status(thm)],[31672, 31670])).
% 51.45/34.08 tff(31674,plain,
% 51.45/34.08 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | ((~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node8(s5)) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid))),
% 51.45/34.08 inference(quant_inst,[status(thm)],[])).
% 51.45/34.08 tff(31675,plain,
% 51.45/34.08 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node8(X)) | m_processor_v_cmd(c_p0, X, V))) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node8(s5))),
% 51.45/34.08 inference(modus_ponens,[status(thm)],[31674, 31673])).
% 51.45/34.08 tff(31676,plain,
% 51.45/34.08 ((~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node8(s5))),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31675, 2191, 31669])).
% 51.45/34.08 tff(31677,plain,
% 51.45/34.08 (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31676, 7155])).
% 51.45/34.08 tff(31678,assumption,(m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid)), introduced(assumption)).
% 51.45/34.08 tff(31679,plain,
% 51.45/34.08 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid)) | (~node3(s5)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid)) | (~node3(s5)))),
% 51.45/34.08 inference(rewrite,[status(thm)],[])).
% 51.45/34.08 tff(31680,plain,
% 51.45/34.08 ((m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~node3(s5)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid))) <=> (m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid)) | (~node3(s5)))),
% 51.45/34.08 inference(rewrite,[status(thm)],[])).
% 51.45/34.08 tff(31681,plain,
% 51.45/34.08 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~node3(s5)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid)) | (~node3(s5))))),
% 51.45/34.08 inference(monotonicity,[status(thm)],[31680])).
% 51.45/34.08 tff(31682,plain,
% 51.45/34.08 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~node3(s5)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid)) | (~node3(s5)))),
% 51.45/34.08 inference(transitivity,[status(thm)],[31681, 31679])).
% 51.45/34.08 tff(31683,plain,
% 51.45/34.08 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | (m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~node3(s5)) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid)))),
% 51.45/34.08 inference(quant_inst,[status(thm)],[])).
% 51.45/34.08 tff(31684,plain,
% 51.45/34.08 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node3(X)) | (~m_processor_v_CMD(c_p1, X, V)))) | m_main_v_CMD(s5, c_write_h_resp_h_invalid) | (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid)) | (~node3(s5))),
% 51.45/34.08 inference(modus_ponens,[status(thm)],[31683, 31682])).
% 51.45/34.08 tff(31685,plain,
% 51.45/34.08 ($false),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31684, 1260, 13607, 7063, 31678])).
% 51.45/34.08 tff(31686,plain,((~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid)) | m_main_v_CMD(s5, c_write_h_resp_h_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.08 tff(31687,plain,
% 51.45/34.08 (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31686, 31677])).
% 51.45/34.08 tff(31688,plain,
% 51.45/34.08 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | (~node50(c_p1, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | (~node50(c_p1, s5)))),
% 51.45/34.08 inference(rewrite,[status(thm)],[])).
% 51.45/34.08 tff(31689,plain,
% 51.45/34.08 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | (m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | (~node50(c_p1, s5)))),
% 51.45/34.08 inference(quant_inst,[status(thm)],[])).
% 51.45/34.08 tff(31690,plain,
% 51.45/34.08 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_write_h_resp_h_invalid) | (~node50(I0, X)))) | m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid) | (~node50(c_p1, s5))),
% 51.45/34.08 inference(modus_ponens,[status(thm)],[31689, 31688])).
% 51.45/34.08 tff(31691,plain,
% 51.45/34.08 (~node50(c_p1, s5)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31690, 11598, 31687])).
% 51.45/34.08 tff(31692,plain,
% 51.45/34.08 ($false),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31540, 31691, 31668, 31524, 31515, 31639, 273, 31648])).
% 51.45/34.08 tff(31693,plain,((~node8(s5)) | node52(c_p1, s5, s6) | node47(c_p1, s5) | node48(c_p1, s5) | m_processor_v_abort(c_p1, s5) | node49(c_p1, s5) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.08 tff(31694,plain,
% 51.45/34.08 (~node8(s5)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31693, 31638, 31515, 31639, 273, 31524, 31647, 31643])).
% 51.45/34.08 tff(31695,plain,
% 51.45/34.08 (~m_processor_v_cmd(c_p2, s5, c_idle)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[13726, 31694, 7146, 13700, 13660])).
% 51.45/34.08 tff(31696,plain,
% 51.45/34.08 (m_processor_v_master(c_p2, s5)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[7120, 31695])).
% 51.45/34.08 tff(31697,plain,
% 51.45/34.08 (~node17(s5)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[13758, 31696])).
% 51.45/34.08 tff(31698,plain,
% 51.45/34.08 (~m_memory_v_master(c_m, s5)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[13600, 31697])).
% 51.45/34.08 tff(31699,plain,
% 51.45/34.08 (~node29(c_m, s5)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[7136, 31698])).
% 51.45/34.08 tff(31700,plain,
% 51.45/34.08 (m_memory_v_cmd(c_m, s5, c_idle)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[7144, 31699])).
% 51.45/34.08 tff(31701,plain,
% 51.45/34.08 (node12(s5)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[13746, 31700, 7146, 13660, 31695])).
% 51.45/34.08 tff(31702,plain,
% 51.45/34.08 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node12(s5)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node12(s5)))),
% 51.45/34.08 inference(rewrite,[status(thm)],[])).
% 51.45/34.08 tff(31703,plain,
% 51.45/34.08 (((~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid) | (~node12(s5))) <=> (m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node12(s5)))),
% 51.45/34.08 inference(rewrite,[status(thm)],[])).
% 51.45/34.08 tff(31704,plain,
% 51.45/34.08 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid) | (~node12(s5)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node12(s5))))),
% 51.45/34.08 inference(monotonicity,[status(thm)],[31703])).
% 51.45/34.08 tff(31705,plain,
% 51.45/34.08 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid) | (~node12(s5)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node12(s5)))),
% 51.45/34.08 inference(transitivity,[status(thm)],[31704, 31702])).
% 51.45/34.08 tff(31706,plain,
% 51.45/34.08 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid) | (~node12(s5)))),
% 51.45/34.08 inference(quant_inst,[status(thm)],[])).
% 51.45/34.08 tff(31707,plain,
% 51.45/34.08 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_invalid) | (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node12(s5))),
% 51.45/34.08 inference(modus_ponens,[status(thm)],[31706, 31705])).
% 51.45/34.08 tff(31708,plain,
% 51.45/34.08 ((~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node12(s5))),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31707, 3644, 31647])).
% 51.45/34.08 tff(31709,plain,
% 51.45/34.08 (~m_main_v_CMD(s5, c_write_h_resp_h_invalid)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31708, 31701])).
% 51.45/34.08 tff(31710,plain,
% 51.45/34.08 (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_invalid)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31686, 31709])).
% 51.45/34.08 tff(31711,plain,
% 51.45/34.08 (~node50(c_p1, s5)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31690, 11598, 31710])).
% 51.45/34.08 tff(31712,plain,
% 51.45/34.08 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node12(s5)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node12(s5)))),
% 51.45/34.08 inference(rewrite,[status(thm)],[])).
% 51.45/34.08 tff(31713,plain,
% 51.45/34.08 (((~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared) | (~node12(s5))) <=> (m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node12(s5)))),
% 51.45/34.08 inference(rewrite,[status(thm)],[])).
% 51.45/34.08 tff(31714,plain,
% 51.45/34.08 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared) | (~node12(s5)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | (m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node12(s5))))),
% 51.45/34.08 inference(monotonicity,[status(thm)],[31713])).
% 51.45/34.08 tff(31715,plain,
% 51.45/34.08 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared) | (~node12(s5)))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node12(s5)))),
% 51.45/34.08 inference(transitivity,[status(thm)],[31714, 31712])).
% 51.45/34.08 tff(31716,plain,
% 51.45/34.08 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | ((~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared) | (~node12(s5)))),
% 51.45/34.08 inference(quant_inst,[status(thm)],[])).
% 51.45/34.08 tff(31717,plain,
% 51.45/34.08 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | m_processor_v_cmd(c_p0, X, V) | (~node12(X)))) | m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared) | (~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node12(s5))),
% 51.45/34.08 inference(modus_ponens,[status(thm)],[31716, 31715])).
% 51.45/34.08 tff(31718,plain,
% 51.45/34.08 ((~m_main_v_CMD(s5, c_write_h_resp_h_shared)) | (~node12(s5))),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31717, 3644, 31643])).
% 51.45/34.08 tff(31719,plain,
% 51.45/34.08 (~m_main_v_CMD(s5, c_write_h_resp_h_shared)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31718, 31701])).
% 51.45/34.08 tff(31720,plain,
% 51.45/34.08 (~m_processor_v_CMD(c_p1, s5, c_write_h_resp_h_shared)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31663, 1260, 13607, 31719])).
% 51.45/34.08 tff(31721,plain,
% 51.45/34.08 (~node51(c_p1, s5)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31667, 11549, 31720])).
% 51.45/34.08 tff(31722,plain,
% 51.45/34.08 ($false),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31540, 31721, 31711, 31524, 31515, 31639, 273, 31638])).
% 51.45/34.08 tff(31723,plain,(m_main_v_CMD(s5, c_response) | node52(c_p1, s5, s6) | node47(c_p1, s5) | node48(c_p1, s5) | m_processor_v_abort(c_p1, s5) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.45/34.08 tff(31724,plain,
% 51.45/34.08 (m_main_v_CMD(s5, c_response)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31723, 31623, 31514, 31544, 31503, 31515, 31627])).
% 51.45/34.08 tff(31725,plain,
% 51.45/34.08 ($false),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[29357, 31724, 31623, 13729, 31544])).
% 51.45/34.08 tff(31726,plain,(node47(c_p1, s5) | (~m_memory_v_cmd(c_m, s5, c_idle)) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s6, c_invalid) | (~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_abort(c_p0, s5) | (~m_processor_v_waiting(c_p1, s5)) | m_processor_v_waiting(c_p1, s6)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.08 tff(31727,plain,
% 51.45/34.08 (node47(c_p1, s5)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31726, 31438, 813, 812, 1060, 835, 19111, 13729])).
% 51.45/34.08 tff(31728,plain,
% 51.45/34.08 (m_processor_v_CMD(c_p1, s5, c_read_h_shared)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[662, 31727])).
% 51.45/34.08 tff(31729,plain,
% 51.45/34.08 (~node59(c_p1, s5)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[16989, 31728])).
% 51.45/34.08 tff(31730,plain,
% 51.45/34.08 (~m_processor_v_REPLY_h_WAITING(c_p1, s5)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[732, 31729, 31504])).
% 51.45/34.08 tff(31731,plain,
% 51.45/34.08 (~m_main_v_REPLY_h_WAITING(s5)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[750, 31730])).
% 51.45/34.08 tff(31732,plain,
% 51.45/34.08 (~m_processor_v_master(c_p1, s5)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[596, 31728, 31438, 31503])).
% 51.45/34.08 tff(31733,plain,
% 51.45/34.08 (m_processor_v_reply_h_waiting(c_p1, s5)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31551, 31732])).
% 51.45/34.08 tff(31734,plain,
% 51.45/34.08 (~node6(s5)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31558, 31733])).
% 51.45/34.08 tff(31735,plain,
% 51.45/34.08 ($false),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[765, 31734, 31731])).
% 51.45/34.08 tff(31736,plain,(m_processor_v_waiting(c_p1, s6) | (~m_processor_v_waiting(c_p1, s5)) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s6, c_invalid) | (~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_abort(c_p0, s5) | (~m_memory_v_cmd(c_m, s5, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.45/34.08 tff(31737,plain,
% 51.45/34.08 (m_processor_v_abort(c_p0, s5)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31736, 31438, 813, 812, 13729, 1060, 19111])).
% 51.45/34.08 tff(31738,plain,
% 51.45/34.08 (~node60(c_p1, s5)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[18089, 31737])).
% 51.45/34.08 tff(31739,plain,
% 51.45/34.08 ($false),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[698, 31503, 31738])).
% 51.45/34.08 tff(31740,plain,(m_processor_v_waiting(c_p1, s6) | (~m_processor_v_waiting(c_p1, s5)) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s6, c_invalid) | (~m_memory_v_cmd(c_m, s5, c_idle)) | (~m_processor_v_state(c_p0, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.45/34.08 tff(31741,plain,
% 51.45/34.08 (~m_memory_v_cmd(c_m, s5, c_idle)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31740, 31485, 813, 812, 31438, 1060])).
% 51.45/34.08 tff(31742,plain,
% 51.45/34.08 (node29(c_m, s5)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[7144, 31741])).
% 51.45/34.08 tff(31743,plain,
% 51.45/34.08 (m_memory_v_busy(c_m, s5)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[29294, 31742])).
% 51.45/34.08 tff(31744,assumption,(node18(c_m, s4, s5)), introduced(assumption)).
% 51.45/34.08 tff(31745,plain,
% 51.45/34.08 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | (m_memory_v_busy(c_m, s4) | (~m_memory_v_busy(c_m, s5)) | (~node18(c_m, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | m_memory_v_busy(c_m, s4) | (~m_memory_v_busy(c_m, s5)) | (~node18(c_m, s4, s5)))),
% 51.45/34.08 inference(rewrite,[status(thm)],[])).
% 51.45/34.08 tff(31746,plain,
% 51.45/34.08 (((~node18(c_m, s4, s5)) | m_memory_v_busy(c_m, s4) | (~m_memory_v_busy(c_m, s5))) <=> (m_memory_v_busy(c_m, s4) | (~m_memory_v_busy(c_m, s5)) | (~node18(c_m, s4, s5)))),
% 51.45/34.08 inference(rewrite,[status(thm)],[])).
% 51.45/34.08 tff(31747,plain,
% 51.45/34.08 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | ((~node18(c_m, s4, s5)) | m_memory_v_busy(c_m, s4) | (~m_memory_v_busy(c_m, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | (m_memory_v_busy(c_m, s4) | (~m_memory_v_busy(c_m, s5)) | (~node18(c_m, s4, s5))))),
% 51.45/34.08 inference(monotonicity,[status(thm)],[31746])).
% 51.45/34.08 tff(31748,plain,
% 51.45/34.08 (((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | ((~node18(c_m, s4, s5)) | m_memory_v_busy(c_m, s4) | (~m_memory_v_busy(c_m, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | m_memory_v_busy(c_m, s4) | (~m_memory_v_busy(c_m, s5)) | (~node18(c_m, s4, s5)))),
% 51.45/34.08 inference(transitivity,[status(thm)],[31747, 31745])).
% 51.45/34.08 tff(31749,plain,
% 51.45/34.08 ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | ((~node18(c_m, s4, s5)) | m_memory_v_busy(c_m, s4) | (~m_memory_v_busy(c_m, s5)))),
% 51.45/34.08 inference(quant_inst,[status(thm)],[])).
% 51.45/34.08 tff(31750,plain,
% 51.45/34.08 ((~![Y: $i, I0: $i, X: $i] : ((~node18(I0, X, Y)) | m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)))) | m_memory_v_busy(c_m, s4) | (~m_memory_v_busy(c_m, s5)) | (~node18(c_m, s4, s5))),
% 51.45/34.08 inference(modus_ponens,[status(thm)],[31749, 31748])).
% 51.45/34.08 tff(31751,plain,
% 51.45/34.08 ($false),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31750, 10278, 2065, 7316, 31744])).
% 51.45/34.08 tff(31752,plain,((~node18(c_m, s4, s5)) | m_memory_v_busy(c_m, s4) | (~m_memory_v_busy(c_m, s5))), inference(lemma,lemma(discharge,[]))).
% 51.45/34.08 tff(31753,plain,
% 51.45/34.08 (~node18(c_m, s4, s5)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31752, 2065, 7316])).
% 51.45/34.08 tff(31754,plain,
% 51.45/34.08 (~m_memory_v_abort(c_m, s4)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[7390, 31753])).
% 51.45/34.08 tff(31755,assumption,(~m_memory_v_abort(c_m, s4)), introduced(assumption)).
% 51.45/34.08 tff(31756,plain,
% 51.45/34.08 (m_memory_v_master(c_m, s4)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[7330, 7325])).
% 51.45/34.08 tff(31757,plain,
% 51.45/34.08 (((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~node23(c_m, s4, s5)) | (~m_memory_v_master(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_response)) | m_memory_v_abort(c_m, s4) | (~m_memory_v_busy(c_m, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | (~node23(c_m, s4, s5)) | (~m_memory_v_master(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_response)) | m_memory_v_abort(c_m, s4) | (~m_memory_v_busy(c_m, s5)))),
% 51.45/34.08 inference(rewrite,[status(thm)],[])).
% 51.45/34.08 tff(31758,plain,
% 51.45/34.08 (((~m_memory_v_busy(c_m, s5)) | (~m_memory_v_master(c_m, s4)) | (~node23(c_m, s4, s5)) | m_memory_v_abort(c_m, s4) | (~m_memory_v_CMD(c_m, s4, c_response))) <=> ((~node23(c_m, s4, s5)) | (~m_memory_v_master(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_response)) | m_memory_v_abort(c_m, s4) | (~m_memory_v_busy(c_m, s5)))),
% 51.45/34.08 inference(rewrite,[status(thm)],[])).
% 51.45/34.08 tff(31759,plain,
% 51.45/34.08 (((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~m_memory_v_busy(c_m, s5)) | (~m_memory_v_master(c_m, s4)) | (~node23(c_m, s4, s5)) | m_memory_v_abort(c_m, s4) | (~m_memory_v_CMD(c_m, s4, c_response)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~node23(c_m, s4, s5)) | (~m_memory_v_master(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_response)) | m_memory_v_abort(c_m, s4) | (~m_memory_v_busy(c_m, s5))))),
% 51.45/34.08 inference(monotonicity,[status(thm)],[31758])).
% 51.45/34.08 tff(31760,plain,
% 51.45/34.08 (((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~m_memory_v_busy(c_m, s5)) | (~m_memory_v_master(c_m, s4)) | (~node23(c_m, s4, s5)) | m_memory_v_abort(c_m, s4) | (~m_memory_v_CMD(c_m, s4, c_response)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | (~node23(c_m, s4, s5)) | (~m_memory_v_master(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_response)) | m_memory_v_abort(c_m, s4) | (~m_memory_v_busy(c_m, s5)))),
% 51.45/34.08 inference(transitivity,[status(thm)],[31759, 31757])).
% 51.45/34.08 tff(31761,plain,
% 51.45/34.08 ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | ((~m_memory_v_busy(c_m, s5)) | (~m_memory_v_master(c_m, s4)) | (~node23(c_m, s4, s5)) | m_memory_v_abort(c_m, s4) | (~m_memory_v_CMD(c_m, s4, c_response)))),
% 51.45/34.08 inference(quant_inst,[status(thm)],[])).
% 51.45/34.08 tff(31762,plain,
% 51.45/34.08 ((~![Y: $i, I0: $i, X: $i] : ((~m_memory_v_busy(I0, Y)) | (~m_memory_v_master(I0, X)) | (~node23(I0, X, Y)) | m_memory_v_abort(I0, X) | (~m_memory_v_CMD(I0, X, c_response)))) | (~node23(c_m, s4, s5)) | (~m_memory_v_master(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_response)) | m_memory_v_abort(c_m, s4) | (~m_memory_v_busy(c_m, s5))),
% 51.45/34.08 inference(modus_ponens,[status(thm)],[31761, 31760])).
% 51.45/34.08 tff(31763,plain,
% 51.45/34.08 ((~m_memory_v_master(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_response)) | m_memory_v_abort(c_m, s4) | (~m_memory_v_busy(c_m, s5))),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31762, 10436, 7355])).
% 51.45/34.08 tff(31764,plain,
% 51.45/34.08 (~m_memory_v_CMD(c_m, s4, c_response)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31763, 31756, 7316, 31755])).
% 51.45/34.08 tff(31765,plain,
% 51.45/34.08 (((~![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))) | ((~node19(c_m, s4)) | m_memory_v_CMD(c_m, s4, c_response))) <=> ((~![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))) | (~node19(c_m, s4)) | m_memory_v_CMD(c_m, s4, c_response))),
% 51.45/34.08 inference(rewrite,[status(thm)],[])).
% 51.45/34.08 tff(31766,plain,
% 51.45/34.08 ((~![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))) | ((~node19(c_m, s4)) | m_memory_v_CMD(c_m, s4, c_response))),
% 51.45/34.08 inference(quant_inst,[status(thm)],[])).
% 51.45/34.08 tff(31767,plain,
% 51.45/34.08 ((~![I0: $i, X: $i] : ((~node19(I0, X)) | m_memory_v_CMD(I0, X, c_response))) | (~node19(c_m, s4)) | m_memory_v_CMD(c_m, s4, c_response)),
% 51.45/34.08 inference(modus_ponens,[status(thm)],[31766, 31765])).
% 51.45/34.08 tff(31768,plain,
% 51.45/34.08 ($false),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31767, 10075, 7325, 31764])).
% 51.45/34.08 tff(31769,plain,((~node19(c_m, s4)) | (~m_memory_v_busy(c_m, s5)) | m_memory_v_abort(c_m, s4)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.08 tff(31770,plain,
% 51.45/34.08 (~node19(c_m, s4)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31769, 31754, 7316])).
% 51.45/34.08 tff(31771,plain,
% 51.45/34.08 (((~![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))) | (m_memory_v_busy(c_m, s4) | (~m_memory_v_busy(c_m, s5)) | (~node22(c_m, s4, s5)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))) | m_memory_v_busy(c_m, s4) | (~m_memory_v_busy(c_m, s5)) | (~node22(c_m, s4, s5)))),
% 51.45/34.08 inference(rewrite,[status(thm)],[])).
% 51.45/34.08 tff(31772,plain,
% 51.45/34.08 ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))) | (m_memory_v_busy(c_m, s4) | (~m_memory_v_busy(c_m, s5)) | (~node22(c_m, s4, s5)))),
% 51.45/34.08 inference(quant_inst,[status(thm)],[])).
% 51.45/34.08 tff(31773,plain,
% 51.45/34.08 ((~![Y: $i, I0: $i, X: $i] : (m_memory_v_busy(I0, X) | (~m_memory_v_busy(I0, Y)) | (~node22(I0, X, Y)))) | m_memory_v_busy(c_m, s4) | (~m_memory_v_busy(c_m, s5)) | (~node22(c_m, s4, s5))),
% 51.45/34.08 inference(modus_ponens,[status(thm)],[31772, 31771])).
% 51.45/34.08 tff(31774,plain,
% 51.45/34.08 ($false),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31773, 10374, 2065, 7335, 7316])).
% 51.45/34.08 tff(31775,plain,((~node22(c_m, s4, s5)) | m_memory_v_busy(c_m, s4) | (~m_memory_v_busy(c_m, s5))), inference(lemma,lemma(discharge,[]))).
% 51.45/34.08 tff(31776,plain,
% 51.45/34.08 (~node22(c_m, s4, s5)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31775, 7316, 2065])).
% 51.45/34.08 tff(31777,plain,
% 51.45/34.08 (~node18(c_m, s4, s5)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31752, 7316, 2065])).
% 51.45/34.08 tff(31778,plain,
% 51.45/34.08 (~m_memory_v_abort(c_m, s4)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[7390, 31777])).
% 51.45/34.08 tff(31779,plain,
% 51.45/34.08 (node21(c_m, s4)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[7372, 31778, 7334, 31776])).
% 51.45/34.08 tff(31780,assumption,(~m_memory_v_CMD(c_m, s4, c_read_h_shared)), introduced(assumption)).
% 51.45/34.08 tff(31781,plain,
% 51.45/34.08 (m_memory_v_CMD(c_m, s4, c_read_h_owned)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[7436, 7430, 31780, 31779])).
% 51.45/34.08 tff(31782,assumption,(~node26(c_m, s4)), introduced(assumption)).
% 51.45/34.08 tff(31783,plain,
% 51.45/34.08 (((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | (m_memory_v_abort(c_m, s4) | node26(c_m, s4))) <=> ((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | m_memory_v_abort(c_m, s4) | node26(c_m, s4))),
% 51.45/34.08 inference(rewrite,[status(thm)],[])).
% 51.45/34.08 tff(31784,plain,
% 51.45/34.08 ((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | (m_memory_v_abort(c_m, s4) | node26(c_m, s4))),
% 51.45/34.08 inference(quant_inst,[status(thm)],[])).
% 51.45/34.08 tff(31785,plain,
% 51.45/34.08 ((~![I0: $i, X: $i] : (m_memory_v_abort(I0, X) | node26(I0, X))) | m_memory_v_abort(c_m, s4) | node26(c_m, s4)),
% 51.45/34.08 inference(modus_ponens,[status(thm)],[31784, 31783])).
% 51.45/34.08 tff(31786,plain,
% 51.45/34.08 ($false),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31785, 7810, 31782, 31755])).
% 51.45/34.08 tff(31787,plain,(m_memory_v_abort(c_m, s4) | node26(c_m, s4)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.08 tff(31788,plain,
% 51.45/34.08 (node26(c_m, s4)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31787, 31778])).
% 51.45/34.08 tff(31789,assumption,(~node25(c_m, s4)), introduced(assumption)).
% 51.45/34.08 tff(31790,assumption,(node26(c_m, s4)), introduced(assumption)).
% 51.45/34.08 tff(31791,plain,
% 51.45/34.08 (((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | (node25(c_m, s4) | (~node26(c_m, s4)) | (~m_memory_v_REPLY_h_OWNED(c_m, s4)))) <=> ((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | node25(c_m, s4) | (~node26(c_m, s4)) | (~m_memory_v_REPLY_h_OWNED(c_m, s4)))),
% 51.45/34.08 inference(rewrite,[status(thm)],[])).
% 51.45/34.08 tff(31792,plain,
% 51.45/34.08 ((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | (node25(c_m, s4) | (~node26(c_m, s4)) | (~m_memory_v_REPLY_h_OWNED(c_m, s4)))),
% 51.45/34.08 inference(quant_inst,[status(thm)],[])).
% 51.45/34.08 tff(31793,plain,
% 51.45/34.08 ((~![I0: $i, X: $i] : (node25(I0, X) | (~node26(I0, X)) | (~m_memory_v_REPLY_h_OWNED(I0, X)))) | node25(c_m, s4) | (~node26(c_m, s4)) | (~m_memory_v_REPLY_h_OWNED(c_m, s4))),
% 51.45/34.08 inference(modus_ponens,[status(thm)],[31792, 31791])).
% 51.45/34.08 tff(31794,plain,
% 51.45/34.08 ($false),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31793, 10227, 31790, 28293, 31789])).
% 51.45/34.08 tff(31795,plain,((~node26(c_m, s4)) | (~m_memory_v_REPLY_h_OWNED(c_m, s4)) | node25(c_m, s4)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.08 tff(31796,plain,
% 51.45/34.08 (node25(c_m, s4)),
% 51.45/34.08 inference(unit_resolution,[status(thm)],[31795, 31788, 28293])).
% 51.45/34.08 tff(31797,plain,
% 51.45/34.08 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | ((~m_memory_v_CMD(c_m, s4, c_read_h_owned)) | (~node25(c_m, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | (~m_memory_v_CMD(c_m, s4, c_read_h_owned)) | (~node25(c_m, s4)))),
% 51.45/34.08 inference(rewrite,[status(thm)],[])).
% 51.45/34.08 tff(31798,plain,
% 51.45/34.08 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | ((~m_memory_v_CMD(c_m, s4, c_read_h_owned)) | (~node25(c_m, s4)))),
% 51.45/34.08 inference(quant_inst,[status(thm)],[])).
% 51.45/34.08 tff(31799,plain,
% 51.45/34.08 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node25(I0, X)))) | (~m_memory_v_CMD(c_m, s4, c_read_h_owned)) | (~node25(c_m, s4))),
% 51.45/34.08 inference(modus_ponens,[status(thm)],[31798, 31797])).
% 51.45/34.09 tff(31800,plain,
% 51.45/34.09 ($false),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31799, 9959, 31796, 31781])).
% 51.45/34.09 tff(31801,plain,((~m_memory_v_busy(c_m, s5)) | m_memory_v_CMD(c_m, s4, c_read_h_shared) | (~m_memory_v_REPLY_h_OWNED(c_m, s4)) | node19(c_m, s4) | m_memory_v_busy(c_m, s4)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.09 tff(31802,plain,
% 51.45/34.09 (m_memory_v_CMD(c_m, s4, c_read_h_shared)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31801, 28293, 7316, 2065, 31770])).
% 51.45/34.09 tff(31803,plain,
% 51.45/34.09 (node26(c_m, s4)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31787, 31754])).
% 51.45/34.09 tff(31804,plain,
% 51.45/34.09 (node25(c_m, s4)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31795, 28293, 31803])).
% 51.45/34.09 tff(31805,assumption,(node25(c_m, s4)), introduced(assumption)).
% 51.45/34.09 tff(31806,assumption,(m_memory_v_CMD(c_m, s4, c_read_h_shared)), introduced(assumption)).
% 51.45/34.09 tff(31807,plain,
% 51.45/34.09 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))) | ((~m_memory_v_CMD(c_m, s4, c_read_h_shared)) | (~node25(c_m, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))) | (~m_memory_v_CMD(c_m, s4, c_read_h_shared)) | (~node25(c_m, s4)))),
% 51.45/34.09 inference(rewrite,[status(thm)],[])).
% 51.45/34.09 tff(31808,plain,
% 51.45/34.09 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))) | ((~m_memory_v_CMD(c_m, s4, c_read_h_shared)) | (~node25(c_m, s4)))),
% 51.45/34.09 inference(quant_inst,[status(thm)],[])).
% 51.45/34.09 tff(31809,plain,
% 51.45/34.09 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_shared)) | (~node25(I0, X)))) | (~m_memory_v_CMD(c_m, s4, c_read_h_shared)) | (~node25(c_m, s4))),
% 51.45/34.09 inference(modus_ponens,[status(thm)],[31808, 31807])).
% 51.45/34.09 tff(31810,plain,
% 51.45/34.09 ($false),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31809, 10407, 31806, 31805])).
% 51.45/34.09 tff(31811,plain,((~node25(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_read_h_shared))), inference(lemma,lemma(discharge,[]))).
% 51.45/34.09 tff(31812,plain,
% 51.45/34.09 ($false),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31811, 31804, 31802])).
% 51.45/34.09 tff(31813,plain,((~m_memory_v_REPLY_h_OWNED(c_m, s4)) | (~m_memory_v_busy(c_m, s5)) | m_memory_v_busy(c_m, s4)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.09 tff(31814,plain,
% 51.45/34.09 (m_memory_v_busy(c_m, s4)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31813, 31743, 31482])).
% 51.45/34.09 tff(31815,plain,
% 51.45/34.09 (m_processor_v_master(c_p1, s4)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[30231, 31814, 5656, 6657, 30179, 13853])).
% 51.45/34.09 tff(31816,plain,
% 51.45/34.09 (~m_processor_v_state(c_p1, s4, c_owned)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[6707, 6607, 5656, 6657])).
% 51.45/34.09 tff(31817,plain,
% 51.45/34.09 (m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[19242, 31816, 559, 160, 6657])).
% 51.45/34.09 tff(31818,plain,
% 51.45/34.09 (m_main_v_CMD(s4, c_read_h_owned)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[2280, 31817])).
% 51.45/34.09 tff(31819,plain,
% 51.45/34.09 (m_memory_v_CMD(c_m, s4, c_read_h_owned)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[28372, 4207, 12584, 31818])).
% 51.45/34.09 tff(31820,plain,
% 51.45/34.09 (m_processor_v_state(c_p1, s4, c_invalid)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[19245, 6607, 5656, 6657])).
% 51.45/34.09 tff(31821,plain,
% 51.45/34.09 (~node32(c_p1, s4, s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[16706, 31820, 559])).
% 51.45/34.09 tff(31822,plain,
% 51.45/34.09 (~m_processor_v_abort(c_p1, s4)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[6859, 31821])).
% 51.45/34.09 tff(31823,plain,
% 51.45/34.09 (node60(c_p1, s4)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[1430, 31822])).
% 51.45/34.09 tff(31824,plain,
% 51.45/34.09 (~m_processor_v_REPLY_h_STALL(c_p1, s4)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[1702, 31823])).
% 51.45/34.09 tff(31825,plain,
% 51.45/34.09 (~m_main_v_REPLY_h_STALL(s4)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[1718, 31824])).
% 51.45/34.09 tff(31826,plain,
% 51.45/34.09 (node7(s4)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[12555, 31825])).
% 51.45/34.09 tff(31827,plain,
% 51.45/34.09 (~m_memory_v_reply_h_stall(c_m, s4)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[12559, 3923, 31826])).
% 51.45/34.09 tff(31828,plain,
% 51.45/34.09 (node30(c_m, s4)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[12569, 31827, 7332])).
% 51.45/34.09 tff(31829,plain,
% 51.45/34.09 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | ((~node30(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_read_h_owned)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | (~node30(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_read_h_owned)))),
% 51.45/34.09 inference(rewrite,[status(thm)],[])).
% 51.45/34.09 tff(31830,plain,
% 51.45/34.09 (((~m_memory_v_CMD(c_m, s4, c_read_h_owned)) | (~node30(c_m, s4))) <=> ((~node30(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_read_h_owned)))),
% 51.45/34.09 inference(rewrite,[status(thm)],[])).
% 51.45/34.09 tff(31831,plain,
% 51.45/34.09 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s4, c_read_h_owned)) | (~node30(c_m, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | ((~node30(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_read_h_owned))))),
% 51.45/34.09 inference(monotonicity,[status(thm)],[31830])).
% 51.45/34.09 tff(31832,plain,
% 51.45/34.09 (((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s4, c_read_h_owned)) | (~node30(c_m, s4)))) <=> ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | (~node30(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_read_h_owned)))),
% 51.45/34.09 inference(transitivity,[status(thm)],[31831, 31829])).
% 51.45/34.09 tff(31833,plain,
% 51.45/34.09 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | ((~m_memory_v_CMD(c_m, s4, c_read_h_owned)) | (~node30(c_m, s4)))),
% 51.45/34.09 inference(quant_inst,[status(thm)],[])).
% 51.45/34.09 tff(31834,plain,
% 51.45/34.09 ((~![I0: $i, X: $i] : ((~m_memory_v_CMD(I0, X, c_read_h_owned)) | (~node30(I0, X)))) | (~node30(c_m, s4)) | (~m_memory_v_CMD(c_m, s4, c_read_h_owned))),
% 51.45/34.09 inference(modus_ponens,[status(thm)],[31833, 31832])).
% 51.45/34.09 tff(31835,plain,
% 51.45/34.09 ($false),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31834, 5042, 31828, 31819])).
% 51.45/34.09 tff(31836,plain,(m_processor_v_master(c_p1, s3) | (~m_memory_v_busy(c_m, s4)) | m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_state(c_p1, s5, c_shared) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s3, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.09 tff(31837,plain,
% 51.45/34.09 (m_processor_v_master(c_p1, s3)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31836, 31814, 19134, 19107, 5656, 6657])).
% 51.45/34.09 tff(31838,plain,
% 51.45/34.09 (~m_processor_v_master(c_p0, s3)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[9444, 794, 31837])).
% 51.45/34.09 tff(31839,plain,
% 51.45/34.09 (m_processor_v_master(c_p0, s3) | m_processor_v_reply_h_owned(c_p0, s3)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[19684, 10170, 30179])).
% 51.45/34.09 tff(31840,plain,
% 51.45/34.09 (m_processor_v_reply_h_owned(c_p0, s3)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31839, 31838])).
% 51.45/34.09 tff(31841,plain,
% 51.45/34.09 (~node5(s3)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[19689, 10185, 31840])).
% 51.45/34.09 tff(31842,plain,
% 51.45/34.09 (m_main_v_REPLY_h_OWNED(s3)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[19697, 31841])).
% 51.45/34.09 tff(31843,plain,
% 51.45/34.09 (m_memory_v_REPLY_h_OWNED(c_m, s3)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[19705, 31842])).
% 51.45/34.09 tff(31844,plain,
% 51.45/34.09 (node34(c_p1, s3, s4)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[30174, 6713, 6657, 5656, 6711])).
% 51.45/34.09 tff(31845,plain,
% 51.45/34.09 (m_processor_v_state(c_p1, s4, c_owned)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[6848, 6713, 6657])).
% 51.45/34.09 tff(31846,plain,
% 51.45/34.09 (~node33(c_p1, s3, s4)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[6595, 830, 31845, 5656])).
% 51.45/34.09 tff(31847,plain,
% 51.45/34.09 (m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[6780, 31846, 6657, 6713, 31844])).
% 51.45/34.09 tff(31848,plain,
% 51.45/34.09 (m_main_v_CMD(s3, c_read_h_owned)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[12458, 31847])).
% 51.45/34.09 tff(31849,plain,
% 51.45/34.09 (m_memory_v_CMD(c_m, s3, c_read_h_owned)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[10550, 4207, 31848, 10083])).
% 51.45/34.09 tff(31850,plain,
% 51.45/34.09 (~node30(c_m, s3)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[10554, 5042, 31849])).
% 51.45/34.09 tff(31851,plain,
% 51.45/34.09 (~node25(c_m, s3)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[19740, 9959, 31849])).
% 51.45/34.09 tff(31852,plain,
% 51.45/34.09 (~node26(c_m, s3)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[19749, 31851, 19743])).
% 51.45/34.09 tff(31853,plain,
% 51.45/34.09 (m_memory_v_abort(c_m, s3)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[19756, 31852])).
% 51.45/34.09 tff(31854,plain,
% 51.45/34.09 (node18(c_m, s3, s4)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[9878, 31853])).
% 51.45/34.09 tff(31855,plain,
% 51.45/34.09 (m_memory_v_busy(c_m, s3)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[20093, 31854, 7332])).
% 51.45/34.09 tff(31856,plain,
% 51.45/34.09 (m_memory_v_reply_h_stall(c_m, s3)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[10526, 31855, 31850])).
% 51.45/34.09 tff(31857,plain,
% 51.45/34.09 (~node7(s3)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[10518, 31856])).
% 51.45/34.09 tff(31858,plain,
% 51.45/34.09 (m_main_v_REPLY_h_STALL(s3)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[10510, 31857])).
% 51.45/34.09 tff(31859,plain,
% 51.45/34.09 (m_processor_v_REPLY_h_STALL(c_p1, s3)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[11820, 31858])).
% 51.45/34.09 tff(31860,plain,
% 51.45/34.09 (~node60(c_p1, s3)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[12717, 31859])).
% 51.45/34.09 tff(31861,plain,
% 51.45/34.09 (m_processor_v_abort(c_p1, s3)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[11803, 31860])).
% 51.45/34.09 tff(31862,plain,
% 51.45/34.09 (node32(c_p1, s3, s4)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[6640, 31861])).
% 51.45/34.09 tff(31863,plain,
% 51.45/34.09 (~m_processor_v_state(c_p1, s3, c_shared)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[6667, 31862, 6657])).
% 51.45/34.09 tff(31864,plain,
% 51.45/34.09 (~m_processor_v_state(c_p1, s3, c_invalid)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[6812, 31862, 6713])).
% 51.45/34.09 tff(31865,plain,
% 51.45/34.09 ($false),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[6646, 31864, 31863, 5656])).
% 51.45/34.09 tff(31866,plain,(m_processor_v_state(c_p1, s4, c_invalid) | m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_state(c_p1, s4, c_shared) | (~m_memory_v_busy(c_m, s4)) | (~m_memory_v_REPLY_h_OWNED(c_m, s3)) | (~m_processor_v_master(c_p1, s3))), inference(lemma,lemma(discharge,[]))).
% 51.45/34.09 tff(31867,plain,
% 51.45/34.09 (m_processor_v_state(c_p1, s4, c_invalid)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31866, 31843, 5656, 6657, 31814, 31837])).
% 51.45/34.09 tff(31868,plain,
% 51.45/34.09 (~node32(c_p1, s4, s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[16706, 31867, 19134])).
% 51.45/34.09 tff(31869,plain,
% 51.45/34.09 (~m_processor_v_abort(c_p1, s4)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[6859, 31868])).
% 51.45/34.09 tff(31870,plain,
% 51.45/34.09 (node34(c_p1, s4, s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[17176, 31869, 31815])).
% 51.45/34.09 tff(31871,plain,
% 51.45/34.09 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s4, c_invalid)) | (~node33(c_p1, s4, s5)) | m_processor_v_state(c_p1, s5, c_invalid))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p1, s4, c_invalid)) | (~node33(c_p1, s4, s5)) | m_processor_v_state(c_p1, s5, c_invalid))),
% 51.45/34.09 inference(rewrite,[status(thm)],[])).
% 51.45/34.09 tff(31872,plain,
% 51.45/34.09 (((~m_processor_v_state(c_p1, s4, c_invalid)) | m_processor_v_state(c_p1, s5, c_invalid) | (~node33(c_p1, s4, s5))) <=> ((~m_processor_v_state(c_p1, s4, c_invalid)) | (~node33(c_p1, s4, s5)) | m_processor_v_state(c_p1, s5, c_invalid))),
% 51.45/34.09 inference(rewrite,[status(thm)],[])).
% 51.45/34.09 tff(31873,plain,
% 51.45/34.09 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s4, c_invalid)) | m_processor_v_state(c_p1, s5, c_invalid) | (~node33(c_p1, s4, s5)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s4, c_invalid)) | (~node33(c_p1, s4, s5)) | m_processor_v_state(c_p1, s5, c_invalid)))),
% 51.45/34.09 inference(monotonicity,[status(thm)],[31872])).
% 51.45/34.09 tff(31874,plain,
% 51.45/34.09 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s4, c_invalid)) | m_processor_v_state(c_p1, s5, c_invalid) | (~node33(c_p1, s4, s5)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p1, s4, c_invalid)) | (~node33(c_p1, s4, s5)) | m_processor_v_state(c_p1, s5, c_invalid))),
% 51.45/34.09 inference(transitivity,[status(thm)],[31873, 31871])).
% 51.45/34.09 tff(31875,plain,
% 51.45/34.09 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s4, c_invalid)) | m_processor_v_state(c_p1, s5, c_invalid) | (~node33(c_p1, s4, s5)))),
% 51.45/34.09 inference(quant_inst,[status(thm)],[])).
% 51.45/34.09 tff(31876,plain,
% 51.45/34.09 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p1, s4, c_invalid)) | (~node33(c_p1, s4, s5)) | m_processor_v_state(c_p1, s5, c_invalid)),
% 51.45/34.09 inference(modus_ponens,[status(thm)],[31875, 31874])).
% 51.45/34.09 tff(31877,plain,
% 51.45/34.09 (~node33(c_p1, s4, s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31876, 399, 19134, 31867])).
% 51.45/34.09 tff(31878,plain,
% 51.45/34.09 (m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[19236, 31877, 19134, 19107, 31870])).
% 51.45/34.09 tff(31879,plain,
% 51.45/34.09 (m_main_v_CMD(s4, c_read_h_owned)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[2280, 31878])).
% 51.45/34.09 tff(31880,plain,
% 51.45/34.09 (m_memory_v_CMD(c_m, s4, c_read_h_owned)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[28372, 4207, 12584, 31879])).
% 51.45/34.09 tff(31881,plain,
% 51.45/34.09 (node60(c_p1, s4)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[1430, 31869])).
% 51.45/34.09 tff(31882,plain,
% 51.45/34.09 (~m_processor_v_REPLY_h_STALL(c_p1, s4)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[1702, 31881])).
% 51.45/34.09 tff(31883,plain,
% 51.45/34.09 (~m_main_v_REPLY_h_STALL(s4)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[1718, 31882])).
% 51.45/34.09 tff(31884,plain,
% 51.45/34.09 (node7(s4)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[12555, 31883])).
% 51.45/34.09 tff(31885,plain,
% 51.45/34.09 (~m_memory_v_reply_h_stall(c_m, s4)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[12559, 3923, 31884])).
% 51.45/34.09 tff(31886,plain,
% 51.45/34.09 (node30(c_m, s4)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[12569, 31885, 31814])).
% 51.45/34.09 tff(31887,plain,
% 51.45/34.09 ($false),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31834, 5042, 31886, 31880])).
% 51.45/34.09 tff(31888,plain,(m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s6, c_invalid) | m_processor_v_waiting(c_p1, s6) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~m_processor_v_state(c_p0, s4, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.45/34.09 tff(31889,plain,
% 51.45/34.09 (m_processor_v_state(c_p1, s3, c_owned)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31888, 6657, 13853, 813, 812, 1060, 31438, 1752])).
% 51.45/34.09 tff(31890,plain,
% 51.45/34.09 (~m_memory_v_busy(c_m, s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31813, 2065, 31482])).
% 51.45/34.09 tff(31891,plain,
% 51.45/34.09 (~node29(c_m, s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[29294, 31890])).
% 51.45/34.09 tff(31892,plain,
% 51.45/34.09 (m_memory_v_cmd(c_m, s5, c_idle)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[7144, 31891])).
% 51.45/34.09 tff(31893,plain,
% 51.45/34.09 (~m_processor_v_waiting(c_p1, s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31740, 31892, 813, 812, 31438, 1060])).
% 51.45/34.09 tff(31894,plain,
% 51.45/34.09 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[30161, 31893, 6657, 13853])).
% 51.45/34.09 tff(31895,plain,
% 51.45/34.09 (~node59(c_p0, s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31568, 1039])).
% 51.45/34.09 tff(31896,plain,
% 51.45/34.09 (~m_processor_v_REPLY_h_WAITING(c_p0, s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[13900, 31895, 13864])).
% 51.45/34.09 tff(31897,plain,
% 51.45/34.09 (~m_main_v_REPLY_h_WAITING(s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[13890, 31896])).
% 51.45/34.09 tff(31898,assumption,(node47(c_p0, s5)), introduced(assumption)).
% 51.45/34.09 tff(31899,plain,
% 51.45/34.09 (m_processor_v_master(c_p0, s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[25030, 12108, 31898])).
% 51.45/34.09 tff(31900,plain,
% 51.45/34.09 (m_processor_v_CMD(c_p0, s5, c_read_h_shared)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[26667, 657, 31898])).
% 51.45/34.09 tff(31901,plain,
% 51.45/34.09 ($false),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[26663, 31900, 31899, 2, 835])).
% 51.45/34.09 tff(31902,plain,((~node47(c_p0, s5)) | m_processor_v_waiting(c_p0, s6) | m_processor_v_abort(c_p0, s5)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.09 tff(31903,plain,
% 51.45/34.09 (~node47(c_p0, s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31902, 835, 2])).
% 51.45/34.09 tff(31904,plain,
% 51.45/34.09 (~m_processor_v_master(c_p0, s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[26655, 1039, 835, 2, 31903])).
% 51.45/34.09 tff(31905,plain,
% 51.45/34.09 (m_processor_v_master(c_p0, s5) | m_processor_v_reply_h_waiting(c_p0, s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[2302, 2296, 21276])).
% 51.45/34.09 tff(31906,plain,
% 51.45/34.09 (m_processor_v_reply_h_waiting(c_p0, s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31905, 31904])).
% 51.45/34.09 tff(31907,plain,
% 51.45/34.09 (~node6(s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[783, 31906])).
% 51.45/34.09 tff(31908,plain,
% 51.45/34.09 ($false),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[765, 31907, 31897])).
% 51.45/34.09 tff(31909,plain,((~m_processor_v_CMD(c_p0, s5, c_read_h_owned)) | (~m_processor_v_waiting(c_p0, s5)) | m_processor_v_abort(c_p0, s5) | m_processor_v_waiting(c_p0, s6)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.09 tff(31910,plain,
% 51.45/34.09 (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31909, 835, 21276, 2])).
% 51.45/34.09 tff(31911,assumption,(node48(c_p0, s5)), introduced(assumption)).
% 51.45/34.09 tff(31912,plain,
% 51.45/34.09 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p0, s5, c_read_h_owned) | (~node48(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | (~node48(c_p0, s5)))),
% 51.45/34.09 inference(rewrite,[status(thm)],[])).
% 51.45/34.09 tff(31913,plain,
% 51.45/34.09 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | (m_processor_v_CMD(c_p0, s5, c_read_h_owned) | (~node48(c_p0, s5)))),
% 51.45/34.09 inference(quant_inst,[status(thm)],[])).
% 51.45/34.09 tff(31914,plain,
% 51.45/34.09 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_owned) | (~node48(I0, X)))) | m_processor_v_CMD(c_p0, s5, c_read_h_owned) | (~node48(c_p0, s5))),
% 51.45/34.09 inference(modus_ponens,[status(thm)],[31913, 31912])).
% 51.45/34.09 tff(31915,plain,
% 51.45/34.09 ($false),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31914, 16883, 811, 31911])).
% 51.45/34.09 tff(31916,plain,((~node48(c_p0, s5)) | m_processor_v_CMD(c_p0, s5, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.09 tff(31917,plain,
% 51.45/34.09 (~node48(c_p0, s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31916, 31910])).
% 51.45/34.09 tff(31918,plain,
% 51.45/34.09 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s5)) | m_processor_v_waiting(c_p0, s6) | (~node52(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s5)) | m_processor_v_waiting(c_p0, s6) | (~node52(c_p0, s5, s6)))),
% 51.45/34.09 inference(rewrite,[status(thm)],[])).
% 51.45/34.09 tff(31919,plain,
% 51.45/34.09 ((m_processor_v_waiting(c_p0, s6) | (~m_processor_v_waiting(c_p0, s5)) | (~node52(c_p0, s5, s6))) <=> ((~m_processor_v_waiting(c_p0, s5)) | m_processor_v_waiting(c_p0, s6) | (~node52(c_p0, s5, s6)))),
% 51.45/34.09 inference(rewrite,[status(thm)],[])).
% 51.45/34.09 tff(31920,plain,
% 51.45/34.09 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s6) | (~m_processor_v_waiting(c_p0, s5)) | (~node52(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s5)) | m_processor_v_waiting(c_p0, s6) | (~node52(c_p0, s5, s6))))),
% 51.45/34.09 inference(monotonicity,[status(thm)],[31919])).
% 51.45/34.09 tff(31921,plain,
% 51.45/34.09 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s6) | (~m_processor_v_waiting(c_p0, s5)) | (~node52(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s5)) | m_processor_v_waiting(c_p0, s6) | (~node52(c_p0, s5, s6)))),
% 51.45/34.09 inference(transitivity,[status(thm)],[31920, 31918])).
% 51.45/34.09 tff(31922,plain,
% 51.45/34.09 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s6) | (~m_processor_v_waiting(c_p0, s5)) | (~node52(c_p0, s5, s6)))),
% 51.45/34.09 inference(quant_inst,[status(thm)],[])).
% 51.45/34.09 tff(31923,plain,
% 51.45/34.09 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s5)) | m_processor_v_waiting(c_p0, s6) | (~node52(c_p0, s5, s6))),
% 51.45/34.09 inference(modus_ponens,[status(thm)],[31922, 31921])).
% 51.45/34.09 tff(31924,plain,
% 51.45/34.09 ($false),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31923, 10820, 21276, 2, 25074])).
% 51.45/34.09 tff(31925,plain,((~node52(c_p0, s5, s6)) | (~m_processor_v_waiting(c_p0, s5)) | m_processor_v_waiting(c_p0, s6)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.09 tff(31926,plain,
% 51.45/34.09 (~node52(c_p0, s5, s6)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31925, 2, 21276])).
% 51.45/34.09 tff(31927,plain,
% 51.45/34.09 (~m_processor_v_cmd(c_p1, s5, c_idle)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31621, 7202, 13729, 813, 812, 1060, 835, 811])).
% 51.45/34.09 tff(31928,plain,
% 51.45/34.09 (m_processor_v_master(c_p1, s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[7028, 31927])).
% 51.45/34.09 tff(31929,plain,
% 51.45/34.09 ($false),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[797, 794, 31928, 7202])).
% 51.45/34.09 tff(31930,plain,((~m_processor_v_master(c_p0, s5)) | (~m_memory_v_cmd(c_m, s5, c_idle)) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s6, c_invalid) | (~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_abort(c_p0, s5) | m_processor_v_CMD(c_p0, s5, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.09 tff(31931,plain,
% 51.45/34.09 (~m_processor_v_master(c_p0, s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31930, 31910, 813, 812, 1060, 835, 13729])).
% 51.45/34.09 tff(31932,plain,
% 51.45/34.09 (m_processor_v_cmd(c_p0, s5, c_idle)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[13657, 31931])).
% 51.45/34.09 tff(31933,assumption,(~node48(c_p0, s5)), introduced(assumption)).
% 51.45/34.09 tff(31934,assumption,(~node47(c_p0, s5)), introduced(assumption)).
% 51.45/34.09 tff(31935,assumption,(~node52(c_p0, s5, s6)), introduced(assumption)).
% 51.45/34.09 tff(31936,plain,
% 51.45/34.09 (~m_main_v_CMD(s5, c_response)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[29357, 7146, 13729, 13660])).
% 51.45/34.09 tff(31937,assumption,(~node50(c_p0, s5)), introduced(assumption)).
% 51.45/34.09 tff(31938,plain,
% 51.45/34.09 (~m_processor_v_CMD(c_p0, s5, c_response)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[25056, 1612, 13841, 13700])).
% 51.45/34.09 tff(31939,plain,
% 51.45/34.09 (~node49(c_p0, s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[25060, 11579, 31938])).
% 51.45/34.09 tff(31940,plain,
% 51.45/34.09 (node51(c_p0, s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[25072, 31939, 31935, 31934, 31933, 835, 31937])).
% 51.45/34.09 tff(31941,plain,
% 51.45/34.09 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | ((~m_processor_v_master(c_p0, s5)) | (~node51(c_p0, s5)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | (~m_processor_v_master(c_p0, s5)) | (~node51(c_p0, s5)))),
% 51.45/34.09 inference(rewrite,[status(thm)],[])).
% 51.45/34.09 tff(31942,plain,
% 51.45/34.09 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | ((~m_processor_v_master(c_p0, s5)) | (~node51(c_p0, s5)))),
% 51.45/34.09 inference(quant_inst,[status(thm)],[])).
% 51.45/34.09 tff(31943,plain,
% 51.45/34.09 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | (~m_processor_v_master(c_p0, s5)) | (~node51(c_p0, s5))),
% 51.45/34.09 inference(modus_ponens,[status(thm)],[31942, 31941])).
% 51.45/34.09 tff(31944,plain,
% 51.45/34.09 (~m_processor_v_master(c_p0, s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31943, 16894, 31940])).
% 51.45/34.09 tff(31945,plain,
% 51.45/34.09 (m_processor_v_cmd(c_p0, s5, c_idle)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[13657, 31944])).
% 51.45/34.09 tff(31946,plain,
% 51.45/34.09 (~m_processor_v_cmd(c_p0, s5, c_write_h_resp_h_shared)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31642, 4285, 31945])).
% 51.45/34.09 tff(31947,plain,
% 51.45/34.09 (m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_shared)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[25021, 11549, 31940])).
% 51.45/34.09 tff(31948,plain,
% 51.45/34.09 (m_main_v_CMD(s5, c_write_h_resp_h_shared)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[25017, 1612, 13841, 31947])).
% 51.45/34.09 tff(31949,plain,
% 51.45/34.09 (~node12(s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31717, 3644, 31948, 31946])).
% 51.45/34.09 tff(31950,plain,
% 51.45/34.09 (~node8(s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31655, 2191, 31948, 31946])).
% 51.45/34.09 tff(31951,plain,
% 51.45/34.09 (~m_processor_v_cmd(c_p2, s5, c_idle)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[13726, 31950, 7146, 13700, 31945])).
% 51.45/34.09 tff(31952,plain,
% 51.45/34.09 (~m_memory_v_cmd(c_m, s5, c_idle)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[13746, 31951, 7146, 31945, 31949])).
% 51.45/34.09 tff(31953,plain,
% 51.45/34.09 (node29(c_m, s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[7144, 31952])).
% 51.45/34.09 tff(31954,plain,
% 51.45/34.09 (m_processor_v_master(c_p2, s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[7120, 31951])).
% 51.45/34.09 tff(31955,plain,
% 51.45/34.09 (~node17(s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[13758, 31954])).
% 51.45/34.09 tff(31956,plain,
% 51.45/34.09 (~m_memory_v_master(c_m, s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[13600, 31955])).
% 51.45/34.09 tff(31957,plain,
% 51.45/34.09 ($false),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[7136, 31956, 31953])).
% 51.45/34.09 tff(31958,plain,(m_main_v_CMD(s5, c_response) | (~m_processor_v_cmd(c_p1, s5, c_idle)) | node52(c_p0, s5, s6) | node47(c_p0, s5) | node48(c_p0, s5) | m_processor_v_abort(c_p0, s5) | node50(c_p0, s5)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.09 tff(31959,plain,
% 51.45/34.09 (node50(c_p0, s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31958, 31936, 31935, 835, 31934, 31933, 7146])).
% 51.45/34.09 tff(31960,plain,
% 51.45/34.09 (m_processor_v_CMD(c_p0, s5, c_write_h_resp_h_invalid)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[25048, 31959])).
% 51.45/34.09 tff(31961,plain,
% 51.45/34.09 (m_main_v_CMD(s5, c_write_h_resp_h_invalid)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[29455, 31960])).
% 51.45/34.09 tff(31962,plain,
% 51.45/34.09 ((~m_main_v_CMD(s5, c_write_h_resp_h_invalid)) | (~node8(s5))),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31675, 2191, 31647])).
% 51.45/34.09 tff(31963,plain,
% 51.45/34.09 (~node8(s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31962, 31961])).
% 51.45/34.09 tff(31964,plain,
% 51.45/34.09 (~node12(s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31708, 31961])).
% 51.45/34.09 tff(31965,plain,
% 51.45/34.09 (m_processor_v_cmd(c_p2, s5, c_idle)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[13746, 31964, 7146, 13729, 13660])).
% 51.45/34.09 tff(31966,plain,
% 51.45/34.09 ($false),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[29351, 31965, 31963, 7146])).
% 51.45/34.09 tff(31967,plain,((~m_processor_v_cmd(c_p1, s5, c_idle)) | (~m_memory_v_cmd(c_m, s5, c_idle)) | (~m_processor_v_cmd(c_p0, s5, c_idle)) | node52(c_p0, s5, s6) | m_processor_v_abort(c_p0, s5) | node47(c_p0, s5) | node48(c_p0, s5)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.09 tff(31968,plain,
% 51.45/34.09 (~m_processor_v_cmd(c_p1, s5, c_idle)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31967, 31932, 13729, 31926, 835, 31903, 31917])).
% 51.45/34.09 tff(31969,plain,
% 51.45/34.09 (m_processor_v_master(c_p1, s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[7028, 31968])).
% 51.45/34.09 tff(31970,plain,
% 51.45/34.09 ($false),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[13949, 3386, 13590, 21318])).
% 51.45/34.09 tff(31971,plain,((~m_processor_v_master(c_p1, s5)) | (~node16(s5))), inference(lemma,lemma(discharge,[]))).
% 51.45/34.09 tff(31972,plain,
% 51.45/34.09 (~node16(s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31971, 31969])).
% 51.45/34.09 tff(31973,plain,
% 51.45/34.09 (~m_processor_v_master(c_p2, s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[13953, 31972])).
% 51.45/34.09 tff(31974,plain,
% 51.45/34.09 (m_processor_v_cmd(c_p2, s5, c_idle)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[7120, 31973])).
% 51.45/34.09 tff(31975,plain,
% 51.45/34.09 (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31568, 13901])).
% 51.45/34.09 tff(31976,plain,
% 51.45/34.09 (~m_main_v_CMD(s5, c_read_h_owned)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[13849, 31975])).
% 51.45/34.09 tff(31977,assumption,(m_processor_v_abort(c_p2, s5)), introduced(assumption)).
% 51.45/34.09 tff(31978,plain,
% 51.45/34.09 (~m_processor_v_REPLY_h_STALL(c_p0, s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[7289, 7283])).
% 51.45/34.09 tff(31979,plain,
% 51.45/34.09 (~m_main_v_REPLY_h_STALL(s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[7297, 31978])).
% 51.45/34.09 tff(31980,assumption,(m_processor_v_REPLY_h_STALL(c_p2, s5)), introduced(assumption)).
% 51.45/34.09 tff(31981,plain,
% 51.45/34.09 (((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p2, X)))) | (m_main_v_REPLY_h_STALL(s5) | (~m_processor_v_REPLY_h_STALL(c_p2, s5)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p2, X)))) | m_main_v_REPLY_h_STALL(s5) | (~m_processor_v_REPLY_h_STALL(c_p2, s5)))),
% 51.45/34.09 inference(rewrite,[status(thm)],[])).
% 51.45/34.09 tff(31982,plain,
% 51.45/34.09 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p2, X)))) | (m_main_v_REPLY_h_STALL(s5) | (~m_processor_v_REPLY_h_STALL(c_p2, s5)))),
% 51.45/34.09 inference(quant_inst,[status(thm)],[])).
% 51.45/34.09 tff(31983,plain,
% 51.45/34.09 ((~![X: $i] : (m_main_v_REPLY_h_STALL(X) | (~m_processor_v_REPLY_h_STALL(c_p2, X)))) | m_main_v_REPLY_h_STALL(s5) | (~m_processor_v_REPLY_h_STALL(c_p2, s5))),
% 51.45/34.09 inference(modus_ponens,[status(thm)],[31982, 31981])).
% 51.45/34.09 tff(31984,plain,
% 51.45/34.09 ($false),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31983, 21614, 7300, 31980])).
% 51.45/34.09 tff(31985,plain,((~m_processor_v_REPLY_h_STALL(c_p2, s5)) | m_main_v_REPLY_h_STALL(s5)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.09 tff(31986,plain,
% 51.45/34.09 (~m_processor_v_REPLY_h_STALL(c_p2, s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31985, 31979])).
% 51.45/34.09 tff(31987,assumption,(~node61(c_p2, s5)), introduced(assumption)).
% 51.45/34.09 tff(31988,assumption,(~m_processor_v_REPLY_h_STALL(c_p2, s5)), introduced(assumption)).
% 51.45/34.09 tff(31989,plain,
% 51.45/34.09 (((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p2, s5)) | m_processor_v_REPLY_h_STALL(c_p2, s5) | node61(c_p2, s5))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p2, s5)) | m_processor_v_REPLY_h_STALL(c_p2, s5) | node61(c_p2, s5))),
% 51.45/34.09 inference(rewrite,[status(thm)],[])).
% 51.45/34.09 tff(31990,plain,
% 51.45/34.09 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | ((~m_processor_v_abort(c_p2, s5)) | m_processor_v_REPLY_h_STALL(c_p2, s5) | node61(c_p2, s5))),
% 51.45/34.09 inference(quant_inst,[status(thm)],[])).
% 51.45/34.09 tff(31991,plain,
% 51.45/34.09 ((~![I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | m_processor_v_REPLY_h_STALL(I0, X) | node61(I0, X))) | (~m_processor_v_abort(c_p2, s5)) | m_processor_v_REPLY_h_STALL(c_p2, s5) | node61(c_p2, s5)),
% 51.45/34.09 inference(modus_ponens,[status(thm)],[31990, 31989])).
% 51.45/34.09 tff(31992,plain,
% 51.45/34.09 ($false),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31991, 1417, 31977, 31988, 31987])).
% 51.45/34.09 tff(31993,plain,((~m_processor_v_abort(c_p2, s5)) | m_processor_v_REPLY_h_STALL(c_p2, s5) | node61(c_p2, s5)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.09 tff(31994,plain,
% 51.45/34.09 (node61(c_p2, s5)),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31993, 31986, 31977])).
% 51.45/34.09 tff(31995,assumption,(node61(c_p2, s5)), introduced(assumption)).
% 51.45/34.09 tff(31996,assumption,(~m_processor_v_REPLY_h_WAITING(c_p2, s5)), introduced(assumption)).
% 51.45/34.09 tff(31997,plain,
% 51.45/34.09 (((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p2, s5) | (~node61(c_p2, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p2, s5) | (~node61(c_p2, s5)))),
% 51.45/34.09 inference(rewrite,[status(thm)],[])).
% 51.45/34.09 tff(31998,plain,
% 51.45/34.09 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | (m_processor_v_REPLY_h_WAITING(c_p2, s5) | (~node61(c_p2, s5)))),
% 51.45/34.09 inference(quant_inst,[status(thm)],[])).
% 51.45/34.09 tff(31999,plain,
% 51.45/34.09 ((~![I0: $i, X: $i] : (m_processor_v_REPLY_h_WAITING(I0, X) | (~node61(I0, X)))) | m_processor_v_REPLY_h_WAITING(c_p2, s5) | (~node61(c_p2, s5))),
% 51.45/34.09 inference(modus_ponens,[status(thm)],[31998, 31997])).
% 51.45/34.09 tff(32000,plain,
% 51.45/34.09 ($false),
% 51.45/34.09 inference(unit_resolution,[status(thm)],[31999, 1891, 31996, 31995])).
% 51.45/34.09 tff(32001,plain,((~node61(c_p2, s5)) | m_processor_v_REPLY_h_WAITING(c_p2, s5)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.09 tff(32002,plain,
% 51.45/34.09 (m_processor_v_REPLY_h_WAITING(c_p2, s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[32001, 31994])).
% 51.45/34.10 tff(32003,plain,
% 51.45/34.10 (((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p2, X)))) | (m_main_v_REPLY_h_WAITING(s5) | (~m_processor_v_REPLY_h_WAITING(c_p2, s5)))) <=> ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p2, X)))) | m_main_v_REPLY_h_WAITING(s5) | (~m_processor_v_REPLY_h_WAITING(c_p2, s5)))),
% 51.45/34.10 inference(rewrite,[status(thm)],[])).
% 51.45/34.10 tff(32004,plain,
% 51.45/34.10 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p2, X)))) | (m_main_v_REPLY_h_WAITING(s5) | (~m_processor_v_REPLY_h_WAITING(c_p2, s5)))),
% 51.45/34.10 inference(quant_inst,[status(thm)],[])).
% 51.45/34.10 tff(32005,plain,
% 51.45/34.10 ((~![X: $i] : (m_main_v_REPLY_h_WAITING(X) | (~m_processor_v_REPLY_h_WAITING(c_p2, X)))) | m_main_v_REPLY_h_WAITING(s5) | (~m_processor_v_REPLY_h_WAITING(c_p2, s5))),
% 51.45/34.10 inference(modus_ponens,[status(thm)],[32004, 32003])).
% 51.45/34.10 tff(32006,plain,
% 51.45/34.10 (m_main_v_REPLY_h_WAITING(s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[32005, 21644, 32002])).
% 51.45/34.10 tff(32007,plain,
% 51.45/34.10 (m_processor_v_REPLY_h_WAITING(c_p0, s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[13890, 32006])).
% 51.45/34.10 tff(32008,plain,
% 51.45/34.10 (node59(c_p0, s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[13900, 32007, 7283])).
% 51.45/34.10 tff(32009,plain,
% 51.45/34.10 (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[31568, 32008])).
% 51.45/34.10 tff(32010,plain,
% 51.45/34.10 (~m_main_v_CMD(s5, c_read_h_owned)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[13849, 32009])).
% 51.45/34.10 tff(32011,assumption,(m_processor_v_CMD(c_p2, s5, c_read_h_owned)), introduced(assumption)).
% 51.45/34.10 tff(32012,assumption,(~node4(s5)), introduced(assumption)).
% 51.45/34.10 tff(32013,plain,
% 51.45/34.10 ((~![X: $i] : node4(X)) | node4(s5)),
% 51.45/34.10 inference(quant_inst,[status(thm)],[])).
% 51.45/34.10 tff(32014,plain,
% 51.45/34.10 ($false),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[32013, 21560, 32012])).
% 51.45/34.10 tff(32015,plain,(node4(s5)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.10 tff(32016,plain,
% 51.45/34.10 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | ((~m_processor_v_CMD(c_p2, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned) | (~node4(s5)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (~m_processor_v_CMD(c_p2, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned) | (~node4(s5)))),
% 51.45/34.10 inference(rewrite,[status(thm)],[])).
% 51.45/34.10 tff(32017,plain,
% 51.45/34.10 ((m_main_v_CMD(s5, c_read_h_owned) | (~node4(s5)) | (~m_processor_v_CMD(c_p2, s5, c_read_h_owned))) <=> ((~m_processor_v_CMD(c_p2, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned) | (~node4(s5)))),
% 51.45/34.10 inference(rewrite,[status(thm)],[])).
% 51.45/34.10 tff(32018,plain,
% 51.45/34.10 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s5, c_read_h_owned) | (~node4(s5)) | (~m_processor_v_CMD(c_p2, s5, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | ((~m_processor_v_CMD(c_p2, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned) | (~node4(s5))))),
% 51.45/34.10 inference(monotonicity,[status(thm)],[32017])).
% 51.45/34.10 tff(32019,plain,
% 51.45/34.10 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s5, c_read_h_owned) | (~node4(s5)) | (~m_processor_v_CMD(c_p2, s5, c_read_h_owned)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (~m_processor_v_CMD(c_p2, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned) | (~node4(s5)))),
% 51.45/34.10 inference(transitivity,[status(thm)],[32018, 32016])).
% 51.45/34.10 tff(32020,plain,
% 51.45/34.10 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s5, c_read_h_owned) | (~node4(s5)) | (~m_processor_v_CMD(c_p2, s5, c_read_h_owned)))),
% 51.45/34.10 inference(quant_inst,[status(thm)],[])).
% 51.45/34.10 tff(32021,plain,
% 51.45/34.10 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (~m_processor_v_CMD(c_p2, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned) | (~node4(s5))),
% 51.45/34.10 inference(modus_ponens,[status(thm)],[32020, 32019])).
% 51.45/34.10 tff(32022,plain,
% 51.45/34.10 ($false),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[32021, 21573, 16969, 32015, 32011])).
% 51.45/34.10 tff(32023,plain,((~m_processor_v_CMD(c_p2, s5, c_read_h_owned)) | m_main_v_CMD(s5, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.10 tff(32024,plain,
% 51.45/34.10 (~m_processor_v_CMD(c_p2, s5, c_read_h_owned)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[32023, 32010])).
% 51.45/34.10 tff(32025,assumption,(~m_processor_v_CMD(c_p2, s5, c_read_h_owned)), introduced(assumption)).
% 51.45/34.10 tff(32026,assumption,(~m_processor_v_CMD(c_p2, s5, c_read_h_shared)), introduced(assumption)).
% 51.45/34.10 tff(32027,plain,
% 51.45/34.10 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | ((~node61(c_p2, s5)) | m_processor_v_CMD(c_p2, s5, c_read_h_owned) | m_processor_v_CMD(c_p2, s5, c_read_h_shared))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (~node61(c_p2, s5)) | m_processor_v_CMD(c_p2, s5, c_read_h_owned) | m_processor_v_CMD(c_p2, s5, c_read_h_shared))),
% 51.45/34.10 inference(rewrite,[status(thm)],[])).
% 51.45/34.10 tff(32028,plain,
% 51.45/34.10 ((m_processor_v_CMD(c_p2, s5, c_read_h_shared) | m_processor_v_CMD(c_p2, s5, c_read_h_owned) | (~node61(c_p2, s5))) <=> ((~node61(c_p2, s5)) | m_processor_v_CMD(c_p2, s5, c_read_h_owned) | m_processor_v_CMD(c_p2, s5, c_read_h_shared))),
% 51.45/34.10 inference(rewrite,[status(thm)],[])).
% 51.45/34.10 tff(32029,plain,
% 51.45/34.10 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p2, s5, c_read_h_shared) | m_processor_v_CMD(c_p2, s5, c_read_h_owned) | (~node61(c_p2, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | ((~node61(c_p2, s5)) | m_processor_v_CMD(c_p2, s5, c_read_h_owned) | m_processor_v_CMD(c_p2, s5, c_read_h_shared)))),
% 51.45/34.10 inference(monotonicity,[status(thm)],[32028])).
% 51.45/34.10 tff(32030,plain,
% 51.45/34.10 (((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p2, s5, c_read_h_shared) | m_processor_v_CMD(c_p2, s5, c_read_h_owned) | (~node61(c_p2, s5)))) <=> ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (~node61(c_p2, s5)) | m_processor_v_CMD(c_p2, s5, c_read_h_owned) | m_processor_v_CMD(c_p2, s5, c_read_h_shared))),
% 51.45/34.10 inference(transitivity,[status(thm)],[32029, 32027])).
% 51.45/34.10 tff(32031,plain,
% 51.45/34.10 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (m_processor_v_CMD(c_p2, s5, c_read_h_shared) | m_processor_v_CMD(c_p2, s5, c_read_h_owned) | (~node61(c_p2, s5)))),
% 51.45/34.10 inference(quant_inst,[status(thm)],[])).
% 51.45/34.10 tff(32032,plain,
% 51.45/34.10 ((~![I0: $i, X: $i] : (m_processor_v_CMD(I0, X, c_read_h_shared) | m_processor_v_CMD(I0, X, c_read_h_owned) | (~node61(I0, X)))) | (~node61(c_p2, s5)) | m_processor_v_CMD(c_p2, s5, c_read_h_owned) | m_processor_v_CMD(c_p2, s5, c_read_h_shared)),
% 51.45/34.10 inference(modus_ponens,[status(thm)],[32031, 32030])).
% 51.45/34.10 tff(32033,plain,
% 51.45/34.10 ($false),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[32032, 2268, 31995, 32026, 32025])).
% 51.45/34.10 tff(32034,plain,(m_processor_v_CMD(c_p2, s5, c_read_h_owned) | (~node61(c_p2, s5)) | m_processor_v_CMD(c_p2, s5, c_read_h_shared)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.10 tff(32035,plain,
% 51.45/34.10 (m_processor_v_CMD(c_p2, s5, c_read_h_shared)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[32034, 32024, 31994])).
% 51.45/34.10 tff(32036,plain,
% 51.45/34.10 (m_processor_v_REPLY_h_WAITING(c_p1, s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[750, 32006])).
% 51.45/34.10 tff(32037,plain,
% 51.45/34.10 (~m_processor_v_REPLY_h_STALL(c_p1, s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[13871, 31979])).
% 51.45/34.10 tff(32038,plain,
% 51.45/34.10 (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[13623, 1260, 13607, 32010])).
% 51.45/34.10 tff(32039,plain,
% 51.45/34.10 (~node61(c_p1, s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[13936, 32038, 7283])).
% 51.45/34.10 tff(32040,plain,
% 51.45/34.10 (~m_processor_v_abort(c_p1, s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[13944, 32039, 32037])).
% 51.45/34.10 tff(32041,plain,
% 51.45/34.10 (node60(c_p1, s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[698, 32040])).
% 51.45/34.10 tff(32042,plain,
% 51.45/34.10 (node59(c_p1, s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[732, 32041, 32036])).
% 51.45/34.10 tff(32043,plain,
% 51.45/34.10 (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[16989, 32042])).
% 51.45/34.10 tff(32044,plain,
% 51.45/34.10 (~m_main_v_CMD(s5, c_read_h_shared)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[18087, 32043])).
% 51.45/34.10 tff(32045,plain,
% 51.45/34.10 (((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s5, c_read_h_shared) | (~node4(s5)) | (~m_processor_v_CMD(c_p2, s5, c_read_h_shared)))) <=> ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s5, c_read_h_shared) | (~node4(s5)) | (~m_processor_v_CMD(c_p2, s5, c_read_h_shared)))),
% 51.45/34.10 inference(rewrite,[status(thm)],[])).
% 51.45/34.10 tff(32046,plain,
% 51.45/34.10 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | (m_main_v_CMD(s5, c_read_h_shared) | (~node4(s5)) | (~m_processor_v_CMD(c_p2, s5, c_read_h_shared)))),
% 51.45/34.10 inference(quant_inst,[status(thm)],[])).
% 51.45/34.10 tff(32047,plain,
% 51.45/34.10 ((~![V: $i, X: $i] : (m_main_v_CMD(X, V) | (~node4(X)) | (~m_processor_v_CMD(c_p2, X, V)))) | m_main_v_CMD(s5, c_read_h_shared) | (~node4(s5)) | (~m_processor_v_CMD(c_p2, s5, c_read_h_shared))),
% 51.45/34.10 inference(modus_ponens,[status(thm)],[32046, 32045])).
% 51.45/34.10 tff(32048,plain,
% 51.45/34.10 ($false),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[32047, 21573, 32015, 32044, 32035])).
% 51.45/34.10 tff(32049,plain,((~node60(c_p0, s5)) | (~m_processor_v_abort(c_p2, s5))), inference(lemma,lemma(discharge,[]))).
% 51.45/34.10 tff(32050,plain,
% 51.45/34.10 (~m_processor_v_abort(c_p2, s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[32049, 7283])).
% 51.45/34.10 tff(32051,assumption,(~node60(c_p2, s5)), introduced(assumption)).
% 51.45/34.10 tff(32052,assumption,(~m_processor_v_abort(c_p2, s5)), introduced(assumption)).
% 51.45/34.10 tff(32053,plain,
% 51.45/34.10 (((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p2, s5) | node60(c_p2, s5))) <=> ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p2, s5) | node60(c_p2, s5))),
% 51.45/34.10 inference(rewrite,[status(thm)],[])).
% 51.45/34.10 tff(32054,plain,
% 51.45/34.10 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | (m_processor_v_abort(c_p2, s5) | node60(c_p2, s5))),
% 51.45/34.10 inference(quant_inst,[status(thm)],[])).
% 51.45/34.10 tff(32055,plain,
% 51.45/34.10 ((~![I0: $i, X: $i] : (m_processor_v_abort(I0, X) | node60(I0, X))) | m_processor_v_abort(c_p2, s5) | node60(c_p2, s5)),
% 51.45/34.10 inference(modus_ponens,[status(thm)],[32054, 32053])).
% 51.45/34.10 tff(32056,plain,
% 51.45/34.10 ($false),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[32055, 693, 32052, 32051])).
% 51.45/34.10 tff(32057,plain,(m_processor_v_abort(c_p2, s5) | node60(c_p2, s5)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.10 tff(32058,plain,
% 51.45/34.10 (node60(c_p2, s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[32057, 32050])).
% 51.45/34.10 tff(32059,plain,
% 51.45/34.10 (((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p2, X))) | ((~m_main_v_REPLY_h_WAITING(s5)) | m_processor_v_REPLY_h_WAITING(c_p2, s5))) <=> ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p2, X))) | (~m_main_v_REPLY_h_WAITING(s5)) | m_processor_v_REPLY_h_WAITING(c_p2, s5))),
% 51.45/34.10 inference(rewrite,[status(thm)],[])).
% 51.45/34.10 tff(32060,plain,
% 51.45/34.10 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p2, X))) | ((~m_main_v_REPLY_h_WAITING(s5)) | m_processor_v_REPLY_h_WAITING(c_p2, s5))),
% 51.45/34.10 inference(quant_inst,[status(thm)],[])).
% 51.45/34.10 tff(32061,plain,
% 51.45/34.10 ((~![X: $i] : ((~m_main_v_REPLY_h_WAITING(X)) | m_processor_v_REPLY_h_WAITING(c_p2, X))) | (~m_main_v_REPLY_h_WAITING(s5)) | m_processor_v_REPLY_h_WAITING(c_p2, s5)),
% 51.45/34.10 inference(modus_ponens,[status(thm)],[32060, 32059])).
% 51.45/34.10 tff(32062,plain,
% 51.45/34.10 ($false),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[32061, 30328, 735, 31996])).
% 51.45/34.10 tff(32063,plain,(m_processor_v_REPLY_h_WAITING(c_p2, s5) | (~m_main_v_REPLY_h_WAITING(s5))), inference(lemma,lemma(discharge,[]))).
% 51.45/34.10 tff(32064,plain,
% 51.45/34.10 (m_processor_v_REPLY_h_WAITING(c_p2, s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[32063, 13885])).
% 51.45/34.10 tff(32065,assumption,(node60(c_p2, s5)), introduced(assumption)).
% 51.45/34.10 tff(32066,plain,
% 51.45/34.10 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p2, s5)) | node59(c_p2, s5) | (~node60(c_p2, s5)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p2, s5)) | node59(c_p2, s5) | (~node60(c_p2, s5)))),
% 51.45/34.10 inference(rewrite,[status(thm)],[])).
% 51.45/34.10 tff(32067,plain,
% 51.45/34.10 ((node59(c_p2, s5) | (~node60(c_p2, s5)) | (~m_processor_v_REPLY_h_WAITING(c_p2, s5))) <=> ((~m_processor_v_REPLY_h_WAITING(c_p2, s5)) | node59(c_p2, s5) | (~node60(c_p2, s5)))),
% 51.45/34.10 inference(rewrite,[status(thm)],[])).
% 51.45/34.10 tff(32068,plain,
% 51.45/34.10 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p2, s5) | (~node60(c_p2, s5)) | (~m_processor_v_REPLY_h_WAITING(c_p2, s5)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | ((~m_processor_v_REPLY_h_WAITING(c_p2, s5)) | node59(c_p2, s5) | (~node60(c_p2, s5))))),
% 51.45/34.10 inference(monotonicity,[status(thm)],[32067])).
% 51.45/34.10 tff(32069,plain,
% 51.45/34.10 (((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p2, s5) | (~node60(c_p2, s5)) | (~m_processor_v_REPLY_h_WAITING(c_p2, s5)))) <=> ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p2, s5)) | node59(c_p2, s5) | (~node60(c_p2, s5)))),
% 51.45/34.10 inference(transitivity,[status(thm)],[32068, 32066])).
% 51.45/34.10 tff(32070,plain,
% 51.45/34.10 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (node59(c_p2, s5) | (~node60(c_p2, s5)) | (~m_processor_v_REPLY_h_WAITING(c_p2, s5)))),
% 51.45/34.10 inference(quant_inst,[status(thm)],[])).
% 51.45/34.10 tff(32071,plain,
% 51.45/34.10 ((~![I0: $i, X: $i] : (node59(I0, X) | (~node60(I0, X)) | (~m_processor_v_REPLY_h_WAITING(I0, X)))) | (~m_processor_v_REPLY_h_WAITING(c_p2, s5)) | node59(c_p2, s5) | (~node60(c_p2, s5))),
% 51.45/34.10 inference(modus_ponens,[status(thm)],[32070, 32069])).
% 51.45/34.10 tff(32072,plain,
% 51.45/34.10 ((~m_processor_v_REPLY_h_WAITING(c_p2, s5)) | node59(c_p2, s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[32071, 724, 32065])).
% 51.45/34.10 tff(32073,plain,
% 51.45/34.10 (node59(c_p2, s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[32072, 32064])).
% 51.45/34.10 tff(32074,plain,
% 51.45/34.10 (((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V))) | ((~m_main_v_CMD(s5, c_read_h_shared)) | (~node4(s5)) | m_processor_v_CMD(c_p2, s5, c_read_h_shared))) <=> ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V))) | (~m_main_v_CMD(s5, c_read_h_shared)) | (~node4(s5)) | m_processor_v_CMD(c_p2, s5, c_read_h_shared))),
% 51.45/34.10 inference(rewrite,[status(thm)],[])).
% 51.45/34.10 tff(32075,plain,
% 51.45/34.10 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V))) | ((~m_main_v_CMD(s5, c_read_h_shared)) | (~node4(s5)) | m_processor_v_CMD(c_p2, s5, c_read_h_shared))),
% 51.45/34.10 inference(quant_inst,[status(thm)],[])).
% 51.45/34.10 tff(32076,plain,
% 51.45/34.10 ((~![V: $i, X: $i] : ((~m_main_v_CMD(X, V)) | (~node4(X)) | m_processor_v_CMD(c_p2, X, V))) | (~m_main_v_CMD(s5, c_read_h_shared)) | (~node4(s5)) | m_processor_v_CMD(c_p2, s5, c_read_h_shared)),
% 51.45/34.10 inference(modus_ponens,[status(thm)],[32075, 32074])).
% 51.45/34.10 tff(32077,plain,
% 51.45/34.10 (m_processor_v_CMD(c_p2, s5, c_read_h_shared)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[32076, 30356, 32015, 13921])).
% 51.45/34.10 tff(32078,plain,
% 51.45/34.10 (((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p2, s5, c_read_h_shared)) | (~node59(c_p2, s5)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p2, s5, c_read_h_shared)) | (~node59(c_p2, s5)))),
% 51.45/34.10 inference(rewrite,[status(thm)],[])).
% 51.45/34.10 tff(32079,plain,
% 51.45/34.10 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | ((~m_processor_v_CMD(c_p2, s5, c_read_h_shared)) | (~node59(c_p2, s5)))),
% 51.45/34.10 inference(quant_inst,[status(thm)],[])).
% 51.45/34.10 tff(32080,plain,
% 51.45/34.10 ((~![I0: $i, X: $i] : ((~m_processor_v_CMD(I0, X, c_read_h_shared)) | (~node59(I0, X)))) | (~m_processor_v_CMD(c_p2, s5, c_read_h_shared)) | (~node59(c_p2, s5))),
% 51.45/34.10 inference(modus_ponens,[status(thm)],[32079, 32078])).
% 51.45/34.10 tff(32081,plain,
% 51.45/34.10 ($false),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[32080, 3834, 32077, 32073])).
% 51.45/34.10 tff(32082,plain,((~node61(c_p1, s5)) | (~node60(c_p2, s5)) | m_processor_v_CMD(c_p1, s5, c_read_h_owned)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.10 tff(32083,plain,
% 51.45/34.10 (m_processor_v_CMD(c_p1, s5, c_read_h_owned)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[32082, 13873, 32058])).
% 51.45/34.10 tff(32084,plain,
% 51.45/34.10 ($false),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[13623, 1260, 32083, 13607, 31976])).
% 51.45/34.10 tff(32085,plain,((~node61(c_p1, s5)) | (~node60(c_p0, s5))), inference(lemma,lemma(discharge,[]))).
% 51.45/34.10 tff(32086,plain,
% 51.45/34.10 (~node61(c_p1, s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[32085, 13864])).
% 51.45/34.10 tff(32087,plain,
% 51.45/34.10 (~m_processor_v_abort(c_p1, s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[13944, 32086, 13872])).
% 51.45/34.10 tff(32088,plain,
% 51.45/34.10 (node60(c_p1, s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[698, 32087])).
% 51.45/34.10 tff(32089,plain,
% 51.45/34.10 (m_processor_v_reply_h_waiting(c_p0, s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[31905, 31931])).
% 51.45/34.10 tff(32090,plain,
% 51.45/34.10 (~node6(s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[783, 32089])).
% 51.45/34.10 tff(32091,plain,
% 51.45/34.10 (m_main_v_REPLY_h_WAITING(s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[765, 32090])).
% 51.45/34.10 tff(32092,plain,
% 51.45/34.10 (m_processor_v_REPLY_h_WAITING(c_p1, s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[750, 32091])).
% 51.45/34.10 tff(32093,plain,
% 51.45/34.10 (node59(c_p1, s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[732, 32092, 32088])).
% 51.45/34.10 tff(32094,plain,
% 51.45/34.10 (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[16989, 32093])).
% 51.45/34.10 tff(32095,plain,
% 51.45/34.10 (~node63(c_p1, s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[14039, 1809, 19107])).
% 51.45/34.10 tff(32096,plain,
% 51.45/34.10 (~node62(c_p1, s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[13862, 1633, 19134])).
% 51.45/34.10 tff(32097,plain,
% 51.45/34.10 (~m_main_v_CMD(s5, c_read_h_owned)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[13849, 31910])).
% 51.45/34.10 tff(32098,plain,
% 51.45/34.10 (~m_processor_v_CMD(c_p1, s5, c_read_h_owned)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[13623, 1260, 13607, 32097])).
% 51.45/34.10 tff(32099,plain,
% 51.45/34.10 (node34(c_p1, s5, s6)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[290, 31969, 32087])).
% 51.45/34.10 tff(32100,plain,
% 51.45/34.10 (~node10(s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[14101, 32099, 13853, 1, 32098, 143, 31968, 32096, 32095, 32094])).
% 51.45/34.10 tff(32101,plain,
% 51.45/34.10 (node9(s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[13969, 32100, 31932, 31974])).
% 51.45/34.10 tff(32102,plain,
% 51.45/34.10 ($false),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[13958, 3443, 32101, 31968])).
% 51.45/34.10 tff(32103,plain,(m_processor_v_abort(c_p0, s5) | (~m_memory_v_cmd(c_m, s5, c_idle)) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s6, c_invalid) | (~m_processor_v_waiting(c_p0, s5)) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s6, c_invalid) | (~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_waiting(c_p0, s6)), inference(lemma,lemma(discharge,[]))).
% 51.45/34.10 tff(32104,plain,
% 51.45/34.10 (m_processor_v_abort(c_p0, s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[32103, 2, 13853, 1, 143, 21276, 813, 812, 1060, 13729])).
% 51.45/34.10 tff(32105,plain,
% 51.45/34.10 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s5)) | node46(c_p0, s5, s6) | (~node53(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s5)) | node46(c_p0, s5, s6) | (~node53(c_p0, s5, s6)))),
% 51.45/34.10 inference(rewrite,[status(thm)],[])).
% 51.45/34.10 tff(32106,plain,
% 51.45/34.10 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s5)) | node46(c_p0, s5, s6) | (~node53(c_p0, s5, s6)))),
% 51.45/34.10 inference(quant_inst,[status(thm)],[])).
% 51.45/34.10 tff(32107,plain,
% 51.45/34.10 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s5)) | node46(c_p0, s5, s6) | (~node53(c_p0, s5, s6))),
% 51.45/34.10 inference(modus_ponens,[status(thm)],[32106, 32105])).
% 51.45/34.10 tff(32108,plain,
% 51.45/34.10 ((~m_processor_v_abort(c_p0, s5)) | node46(c_p0, s5, s6)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[32107, 11690, 25065])).
% 51.45/34.10 tff(32109,plain,
% 51.45/34.10 (node46(c_p0, s5, s6)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[32108, 32104])).
% 51.45/34.10 tff(32110,plain,
% 51.45/34.10 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s5)) | m_processor_v_waiting(c_p0, s6) | (~node46(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s5)) | m_processor_v_waiting(c_p0, s6) | (~node46(c_p0, s5, s6)))),
% 51.45/34.10 inference(rewrite,[status(thm)],[])).
% 51.45/34.10 tff(32111,plain,
% 51.45/34.10 ((m_processor_v_waiting(c_p0, s6) | (~m_processor_v_waiting(c_p0, s5)) | (~node46(c_p0, s5, s6))) <=> ((~m_processor_v_waiting(c_p0, s5)) | m_processor_v_waiting(c_p0, s6) | (~node46(c_p0, s5, s6)))),
% 51.45/34.10 inference(rewrite,[status(thm)],[])).
% 51.45/34.10 tff(32112,plain,
% 51.45/34.10 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s6) | (~m_processor_v_waiting(c_p0, s5)) | (~node46(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s5)) | m_processor_v_waiting(c_p0, s6) | (~node46(c_p0, s5, s6))))),
% 51.45/34.10 inference(monotonicity,[status(thm)],[32111])).
% 51.45/34.10 tff(32113,plain,
% 51.45/34.10 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s6) | (~m_processor_v_waiting(c_p0, s5)) | (~node46(c_p0, s5, s6)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s5)) | m_processor_v_waiting(c_p0, s6) | (~node46(c_p0, s5, s6)))),
% 51.45/34.10 inference(transitivity,[status(thm)],[32112, 32110])).
% 51.45/34.10 tff(32114,plain,
% 51.45/34.10 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s6) | (~m_processor_v_waiting(c_p0, s5)) | (~node46(c_p0, s5, s6)))),
% 51.45/34.10 inference(quant_inst,[status(thm)],[])).
% 51.45/34.10 tff(32115,plain,
% 51.45/34.10 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s5)) | m_processor_v_waiting(c_p0, s6) | (~node46(c_p0, s5, s6))),
% 51.45/34.10 inference(modus_ponens,[status(thm)],[32114, 32113])).
% 51.45/34.10 tff(32116,plain,
% 51.45/34.10 ($false),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[32115, 11708, 21276, 2, 32109])).
% 51.45/34.10 tff(32117,plain,(m_processor_v_waiting(c_p0, s6) | (~m_processor_v_waiting(c_p0, s5)) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s6, c_invalid) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s6, c_invalid) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~m_memory_v_cmd(c_m, s5, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.45/34.10 tff(32118,plain,
% 51.45/34.10 (~m_processor_v_waiting(c_p0, s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[32117, 31892, 13853, 1, 143, 813, 812, 1060, 2])).
% 51.45/34.10 tff(32119,plain,
% 51.45/34.10 (m_processor_v_master(c_p1, s3)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[30543, 31893, 1752, 2595, 2065, 19134, 19107, 32118, 6657])).
% 51.45/34.10 tff(32120,plain,
% 51.45/34.10 (~m_processor_v_master(c_p0, s3)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[9444, 794, 32119])).
% 51.45/34.10 tff(32121,plain,
% 51.45/34.10 (m_processor_v_state(c_p0, s3, c_owned)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[9728, 32120, 1752])).
% 51.45/34.10 tff(32122,plain,
% 51.45/34.10 (m_processor_v_snoop(c_p0, s4, c_invalid)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[29146, 32121, 6657, 29096])).
% 51.45/34.10 tff(32123,plain,
% 51.45/34.10 (~m_processor_v_waiting(c_p1, s4)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[30561, 32122, 1752, 30244, 19134, 19107, 6657, 31893])).
% 51.45/34.10 tff(32124,plain,
% 51.45/34.10 (~node56(c_p0, s4)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[29244, 32123, 2595, 6657, 32120, 31894, 2065])).
% 51.45/34.10 tff(32125,plain,
% 51.45/34.10 (~m_processor_v_writable(c_p0, s4)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[69, 32124])).
% 51.45/34.10 tff(32126,plain,
% 51.45/34.10 (m_processor_v_waiting(c_p0, s4)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[23090, 32125])).
% 51.45/34.10 tff(32127,plain,
% 51.45/34.10 (~m_processor_v_snoop(c_p0, s4, c_shared)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[21061, 4096, 32122])).
% 51.45/34.10 tff(32128,plain,
% 51.45/34.10 (~m_processor_v_snoop(c_p0, s4, c_owned)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[21056, 4071, 32122])).
% 51.45/34.10 tff(32129,plain,
% 51.45/34.10 (~m_processor_v_cmd(c_p1, s4, c_idle)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[30265, 32128, 1752, 32118, 32127, 30244, 32126])).
% 51.45/34.10 tff(32130,plain,
% 51.45/34.10 (m_processor_v_master(c_p1, s4)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[1517, 32129])).
% 51.45/34.10 tff(32131,plain,
% 51.45/34.10 (~node16(s4)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[12622, 32130])).
% 51.45/34.10 tff(32132,plain,
% 51.45/34.10 (~m_processor_v_master(c_p2, s4)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[1550, 32131])).
% 51.45/34.10 tff(32133,plain,
% 51.45/34.10 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[1582, 32132])).
% 51.45/34.10 tff(32134,plain,
% 51.45/34.10 (~m_processor_v_master(c_p0, s4)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[1437, 32130])).
% 51.45/34.10 tff(32135,plain,
% 51.45/34.10 (m_processor_v_cmd(c_p0, s4, c_idle)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[12616, 32134])).
% 51.45/34.10 tff(32136,plain,
% 51.45/34.10 (~node48(c_p0, s4)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[17697, 11562, 32134])).
% 51.45/34.10 tff(32137,plain,
% 51.45/34.10 (m_processor_v_state(c_p1, s4, c_owned)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[6848, 31894, 6657])).
% 51.45/34.10 tff(32138,plain,
% 51.45/34.10 (~m_processor_v_state(c_p0, s3, c_shared)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[2661, 32121])).
% 51.45/34.10 tff(32139,plain,
% 51.45/34.10 (m_processor_v_snoop(c_p1, s4, c_invalid)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[30609, 32123, 2595, 6657, 31894, 32121, 32120, 32138, 6880])).
% 51.45/34.10 tff(32140,plain,
% 51.45/34.10 (m_processor_v_cmd(c_p1, s4, c_write_h_invalid)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[30428, 32130, 30242, 32139, 32137])).
% 51.45/34.10 tff(32141,plain,
% 51.45/34.10 (~node46(c_p0, s4, s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[30392, 32126, 32118])).
% 51.45/34.10 tff(32142,plain,
% 51.45/34.10 (~m_processor_v_abort(c_p0, s4)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[23310, 32141])).
% 51.45/34.10 tff(32143,plain,
% 51.45/34.10 (~node52(c_p0, s4, s5)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[21695, 32126, 32118])).
% 51.45/34.10 tff(32144,plain,
% 51.45/34.10 (~node47(c_p0, s4)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[17643, 12108, 32134])).
% 51.45/34.10 tff(32145,plain,
% 51.45/34.10 (~node10(s4)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[30419, 32144, 32143, 32142, 32140, 32136])).
% 51.45/34.10 tff(32146,plain,
% 51.45/34.10 (node9(s4)),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[12714, 32145, 30244, 32135, 32133])).
% 51.45/34.10 tff(32147,plain,
% 51.45/34.10 ($false),
% 51.45/34.10 inference(unit_resolution,[status(thm)],[12703, 3443, 32129, 32146])).
% 51.45/34.10 tff(32148,plain,(m_memory_v_busy(c_m, s4) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s6, c_invalid) | m_processor_v_waiting(c_p1, s6) | (~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s6, c_invalid) | m_processor_v_waiting(c_p0, s6)), inference(lemma,lemma(discharge,[]))).
% 51.49/34.10 tff(32149,plain,
% 51.49/34.10 (m_memory_v_busy(c_m, s4)),
% 51.49/34.10 inference(unit_resolution,[status(thm)],[32148, 31889, 143, 2, 13853, 813, 812, 31438, 1060, 1, 6657, 1752])).
% 51.49/34.10 tff(32150,plain,
% 51.49/34.10 ($false),
% 51.49/34.10 inference(unit_resolution,[status(thm)],[29155, 32149, 31889, 1752, 6657])).
% 51.49/34.10 tff(32151,plain,(m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_state(c_p1, s6, c_invalid) | m_processor_v_waiting(c_p0, s6) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s6, c_invalid) | m_processor_v_waiting(c_p1, s6) | (~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_state(c_p1, s6, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.49/34.10 tff(32152,plain,
% 51.49/34.10 (m_processor_v_state(c_p1, s4, c_shared)),
% 51.49/34.10 inference(unit_resolution,[status(thm)],[32151, 1752, 30121, 143, 2, 813, 31438, 812, 1060, 1])).
% 51.49/34.10 tff(32153,plain,
% 51.49/34.10 (~node32(c_p1, s4, s5)),
% 51.49/34.10 inference(unit_resolution,[status(thm)],[19139, 32152, 31437])).
% 51.49/34.10 tff(32154,plain,
% 51.49/34.10 (~m_processor_v_abort(c_p1, s4)),
% 51.49/34.10 inference(unit_resolution,[status(thm)],[6859, 32153])).
% 51.49/34.10 tff(32155,plain,
% 51.49/34.10 (~m_processor_v_state(c_p1, s5, c_invalid)),
% 51.49/34.10 inference(unit_resolution,[status(thm)],[13858, 30121])).
% 51.49/34.10 tff(32156,plain,
% 51.49/34.10 (m_processor_v_master(c_p1, s4)),
% 51.49/34.10 inference(unit_resolution,[status(thm)],[19185, 32152, 32155, 31437])).
% 51.49/34.10 tff(32157,plain,
% 51.49/34.10 (node34(c_p1, s4, s5)),
% 51.49/34.10 inference(unit_resolution,[status(thm)],[17176, 32156, 32154])).
% 51.49/34.10 tff(32158,plain,
% 51.49/34.10 (~node33(c_p1, s4, s5)),
% 51.49/34.10 inference(unit_resolution,[status(thm)],[19285, 399, 32152, 31437])).
% 51.49/34.10 tff(32159,plain,
% 51.49/34.10 (m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 51.49/34.10 inference(unit_resolution,[status(thm)],[19236, 32158, 32155, 31437, 32157])).
% 51.49/34.10 tff(32160,plain,
% 51.49/34.10 (m_main_v_CMD(s4, c_read_h_owned)),
% 51.49/34.10 inference(unit_resolution,[status(thm)],[2280, 32159])).
% 51.49/34.10 tff(32161,plain,
% 51.49/34.10 (m_memory_v_CMD(c_m, s4, c_read_h_owned)),
% 51.49/34.10 inference(unit_resolution,[status(thm)],[28372, 4207, 12584, 32160])).
% 51.49/34.10 tff(32162,plain,
% 51.49/34.10 (node60(c_p1, s4)),
% 51.49/34.10 inference(unit_resolution,[status(thm)],[1430, 32154])).
% 51.49/34.10 tff(32163,plain,
% 51.49/34.10 (~m_processor_v_REPLY_h_STALL(c_p1, s4)),
% 51.49/34.10 inference(unit_resolution,[status(thm)],[1702, 32162])).
% 51.49/34.10 tff(32164,plain,
% 51.49/34.10 (~m_main_v_REPLY_h_STALL(s4)),
% 51.49/34.10 inference(unit_resolution,[status(thm)],[1718, 32163])).
% 51.49/34.10 tff(32165,plain,
% 51.49/34.10 (node7(s4)),
% 51.49/34.10 inference(unit_resolution,[status(thm)],[12555, 32164])).
% 51.49/34.10 tff(32166,plain,
% 51.49/34.10 (~m_memory_v_reply_h_stall(c_m, s4)),
% 51.49/34.10 inference(unit_resolution,[status(thm)],[12559, 3923, 32165])).
% 51.49/34.10 tff(32167,plain,
% 51.49/34.10 (m_processor_v_waiting(c_p1, s5)),
% 51.49/34.10 inference(unit_resolution,[status(thm)],[30149, 32152, 32155, 31437])).
% 51.49/34.10 tff(32168,plain,
% 51.49/34.10 (~m_memory_v_cmd(c_m, s5, c_idle)),
% 51.49/34.10 inference(unit_resolution,[status(thm)],[31740, 32167, 813, 31438, 1060, 812])).
% 51.49/34.10 tff(32169,plain,
% 51.49/34.10 (node29(c_m, s5)),
% 51.49/34.10 inference(unit_resolution,[status(thm)],[7144, 32168])).
% 51.49/34.10 tff(32170,plain,
% 51.49/34.10 (m_memory_v_busy(c_m, s5)),
% 51.49/34.10 inference(unit_resolution,[status(thm)],[29294, 32169])).
% 51.49/34.10 tff(32171,plain,
% 51.49/34.10 (~m_processor_v_master(c_p0, s4)),
% 51.49/34.10 inference(unit_resolution,[status(thm)],[1437, 32156])).
% 51.49/34.10 tff(32172,plain,
% 51.49/34.10 (m_processor_v_reply_h_owned(c_p0, s4)),
% 51.49/34.10 inference(unit_resolution,[status(thm)],[31461, 32171, 1752])).
% 51.49/34.10 tff(32173,plain,
% 51.49/34.10 (~node5(s4)),
% 51.49/34.10 inference(unit_resolution,[status(thm)],[31465, 10185, 32172])).
% 51.49/34.10 tff(32174,plain,
% 51.49/34.10 (m_main_v_REPLY_h_OWNED(s4)),
% 51.49/34.10 inference(unit_resolution,[status(thm)],[31474, 32173])).
% 51.49/34.10 tff(32175,plain,
% 51.49/34.10 (m_memory_v_REPLY_h_OWNED(c_m, s4)),
% 51.49/34.10 inference(unit_resolution,[status(thm)],[31481, 32174])).
% 51.49/34.10 tff(32176,plain,
% 51.49/34.10 (m_memory_v_busy(c_m, s4)),
% 51.49/34.10 inference(unit_resolution,[status(thm)],[31813, 32175, 32170])).
% 51.49/34.10 tff(32177,plain,
% 51.49/34.10 (node30(c_m, s4)),
% 51.49/34.10 inference(unit_resolution,[status(thm)],[12569, 32176, 32166])).
% 51.49/34.11 tff(32178,plain,
% 51.49/34.11 ($false),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31834, 5042, 32177, 32161])).
% 51.49/34.11 tff(32179,plain,((~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_waiting(c_p1, s6) | (~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_state(c_p0, s6, c_invalid) | m_processor_v_state(c_p1, s6, c_invalid) | m_processor_v_waiting(c_p0, s6) | m_processor_v_state(c_p1, s6, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.49/34.11 tff(32180,plain,
% 51.49/34.11 (~m_processor_v_state(c_p0, s4, c_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[32179, 31436, 31435, 31432, 31427, 31426, 31395, 31383])).
% 51.49/34.11 tff(32181,plain,
% 51.49/34.11 (~m_processor_v_state(c_p0, s5, c_invalid)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1072, 137, 31432])).
% 51.49/34.11 tff(32182,plain,
% 51.49/34.11 (~m_processor_v_state(c_p0, s5, c_shared)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1068, 31432])).
% 51.49/34.11 tff(32183,plain,
% 51.49/34.11 (m_processor_v_master(c_p0, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1191, 32180, 31432])).
% 51.49/34.11 tff(32184,plain,
% 51.49/34.11 (~m_processor_v_master(c_p1, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1437, 32183])).
% 51.49/34.11 tff(32185,plain,
% 51.49/34.11 (m_processor_v_cmd(c_p1, s4, c_idle)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1517, 32184])).
% 51.49/34.11 tff(32186,plain,
% 51.49/34.11 (~node17(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1280, 32183])).
% 51.49/34.11 tff(32187,plain,
% 51.49/34.11 (~m_memory_v_master(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1295, 32186])).
% 51.49/34.11 tff(32188,plain,
% 51.49/34.11 (~node29(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1310, 32187])).
% 51.49/34.11 tff(32189,plain,
% 51.49/34.11 (m_memory_v_cmd(c_m, s4, c_idle)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1325, 32188])).
% 51.49/34.11 tff(32190,plain,
% 51.49/34.11 (~node16(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1535, 32183])).
% 51.49/34.11 tff(32191,plain,
% 51.49/34.11 (~m_processor_v_master(c_p2, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1550, 32190])).
% 51.49/34.11 tff(32192,plain,
% 51.49/34.11 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1582, 32191])).
% 51.49/34.11 tff(32193,plain,
% 51.49/34.11 (node8(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1599, 1593, 32192, 32189, 32185])).
% 51.49/34.11 tff(32194,plain,
% 51.49/34.11 (m_main_v_CMD(s4, c_read_h_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[28333, 32193, 32183, 32182, 32181, 32180])).
% 51.49/34.11 tff(32195,plain,
% 51.49/34.11 (m_memory_v_CMD(c_m, s4, c_read_h_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[28372, 4207, 12584, 32194])).
% 51.49/34.11 tff(32196,plain,
% 51.49/34.11 (m_processor_v_waiting(c_p0, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[2285, 32180, 31432])).
% 51.49/34.11 tff(32197,plain,
% 51.49/34.11 (m_processor_v_writable(c_p1, s6)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[682, 36])).
% 51.49/34.11 tff(32198,plain,
% 51.49/34.11 (node56(c_p1, s6)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[672, 32197])).
% 51.49/34.11 tff(32199,plain,
% 51.49/34.11 (m_processor_v_state(c_p1, s6, c_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[111, 32198])).
% 51.49/34.11 tff(32200,plain,
% 51.49/34.11 (m_processor_v_writable(c_p0, s6)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[51, 36])).
% 51.49/34.11 tff(32201,plain,
% 51.49/34.11 (node56(c_p0, s6)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[33, 32200])).
% 51.49/34.11 tff(32202,plain,
% 51.49/34.11 (~m_processor_v_waiting(c_p0, s6)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31394, 32201])).
% 51.49/34.11 tff(32203,plain,
% 51.49/34.11 (m_processor_v_state(c_p1, s6, c_shared)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[32117, 32202, 13853, 13729, 143, 813, 812, 1060, 21276])).
% 51.49/34.11 tff(32204,plain,
% 51.49/34.11 ($false),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[129, 32203, 32199])).
% 51.49/34.11 tff(32205,plain,((~node67(s6)) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~m_memory_v_cmd(c_m, s5, c_idle)) | m_processor_v_state(c_p1, s6, c_invalid) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s6, c_invalid) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~m_processor_v_waiting(c_p0, s5))), inference(lemma,lemma(discharge,[]))).
% 51.49/34.11 tff(32206,plain,
% 51.49/34.11 (~m_memory_v_cmd(c_m, s5, c_idle)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[32205, 32196, 31426, 30121, 31436, 31387, 31432, 31427])).
% 51.49/34.11 tff(32207,plain,
% 51.49/34.11 (node29(c_m, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[7144, 32206])).
% 51.49/34.11 tff(32208,plain,
% 51.49/34.11 (m_memory_v_busy(c_m, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[29294, 32207])).
% 51.49/34.11 tff(32209,plain,
% 51.49/34.11 (~m_processor_v_state(c_p1, s4, c_shared)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[19185, 32184, 32155, 31437])).
% 51.49/34.11 tff(32210,plain,
% 51.49/34.11 (m_processor_v_reply_h_owned(c_p1, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31453, 32209, 30121, 32184])).
% 51.49/34.11 tff(32211,plain,
% 51.49/34.11 (~node5(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31445, 32210])).
% 51.49/34.11 tff(32212,plain,
% 51.49/34.11 (m_main_v_REPLY_h_OWNED(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31474, 32211])).
% 51.49/34.11 tff(32213,plain,
% 51.49/34.11 (m_memory_v_REPLY_h_OWNED(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31481, 32212])).
% 51.49/34.11 tff(32214,plain,
% 51.49/34.11 (m_memory_v_busy(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31813, 32213, 32208])).
% 51.49/34.11 tff(32215,plain,
% 51.49/34.11 (~node32(c_p0, s4, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1103, 32180, 32181, 32182])).
% 51.49/34.11 tff(32216,plain,
% 51.49/34.11 (~m_processor_v_abort(c_p0, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1124, 32215])).
% 51.49/34.11 tff(32217,plain,
% 51.49/34.11 (node60(c_p0, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1353, 32216])).
% 51.49/34.11 tff(32218,plain,
% 51.49/34.11 (~m_processor_v_REPLY_h_STALL(c_p0, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1368, 32217])).
% 51.49/34.11 tff(32219,plain,
% 51.49/34.11 (~m_main_v_REPLY_h_STALL(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1386, 32218])).
% 51.49/34.11 tff(32220,plain,
% 51.49/34.11 (node7(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[12555, 32219])).
% 51.49/34.11 tff(32221,plain,
% 51.49/34.11 (~m_memory_v_reply_h_stall(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[12559, 3923, 32220])).
% 51.49/34.11 tff(32222,plain,
% 51.49/34.11 (node30(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[12569, 32221, 32214])).
% 51.49/34.11 tff(32223,plain,
% 51.49/34.11 ($false),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31834, 5042, 32222, 32195])).
% 51.49/34.11 tff(32224,plain,(node67(s9) | m_processor_v_state(c_p0, s7, c_owned) | m_processor_v_master(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 51.49/34.11 tff(32225,plain,
% 51.49/34.11 (node67(s9)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[32224, 55, 3])).
% 51.49/34.11 tff(32226,plain,
% 51.49/34.11 (m_processor_v_writable(c_p0, s9)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[14729, 32225])).
% 51.49/34.11 tff(32227,plain,
% 51.49/34.11 (node56(c_p0, s9)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[14737, 32226])).
% 51.49/34.11 tff(32228,plain,
% 51.49/34.11 (m_processor_v_state(c_p0, s9, c_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[14745, 32227])).
% 51.49/34.11 tff(32229,plain,
% 51.49/34.11 (m_processor_v_waiting(c_p0, s9)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[18128, 32228, 55, 15173])).
% 51.49/34.11 tff(32230,plain,
% 51.49/34.11 ($false),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[14756, 540, 32227, 32229])).
% 51.49/34.11 tff(32231,plain,(m_processor_v_master(c_p0, s7) | m_processor_v_state(c_p0, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.49/34.11 tff(32232,plain,
% 51.49/34.11 (m_processor_v_master(c_p0, s7)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[32231, 3])).
% 51.49/34.11 tff(32233,plain,
% 51.49/34.11 (~m_processor_v_master(c_p1, s7)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[13229, 794, 32232])).
% 51.49/34.11 tff(32234,plain,
% 51.49/34.11 (m_processor_v_reply_h_owned(c_p1, s7)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[15344, 32233, 31379])).
% 51.49/34.11 tff(32235,plain,
% 51.49/34.11 (~node5(s7)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[15348, 10333, 32234])).
% 51.49/34.11 tff(32236,plain,
% 51.49/34.11 (m_main_v_REPLY_h_OWNED(s7)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[15356, 32235])).
% 51.49/34.11 tff(32237,plain,
% 51.49/34.11 (m_memory_v_REPLY_h_OWNED(c_m, s7)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[15364, 32236])).
% 51.49/34.11 tff(32238,plain,
% 51.49/34.11 (m_processor_v_state(c_p0, s6, c_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[23325, 5949, 29592, 30121])).
% 51.49/34.11 tff(32239,plain,
% 51.49/34.11 (m_processor_v_master(c_p0, s6)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[25924, 32238, 3])).
% 51.49/34.11 tff(32240,plain,
% 51.49/34.11 (~m_processor_v_master(c_p1, s6)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[16318, 32239])).
% 51.49/34.11 tff(32241,plain,
% 51.49/34.11 (~m_processor_v_state(c_p1, s6, c_shared)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[19060, 32240, 31379])).
% 51.49/34.11 tff(32242,plain,
% 51.49/34.11 (~m_processor_v_state(c_p1, s7, c_invalid)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[13403, 137, 31379])).
% 51.49/34.11 tff(32243,plain,
% 51.49/34.11 (~m_processor_v_state(c_p1, s6, c_invalid)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[13615, 32240, 32242, 32241])).
% 51.49/34.11 tff(32244,plain,
% 51.49/34.11 (~m_processor_v_state(c_p0, s6, c_shared)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[809, 32238])).
% 51.49/34.11 tff(32245,plain,
% 51.49/34.11 (~m_processor_v_state(c_p0, s6, c_invalid)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1035, 137, 32238])).
% 51.49/34.11 tff(32246,plain,
% 51.49/34.11 (~m_processor_v_state(c_p0, s4, c_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[32179, 32245, 32244, 31432, 31435, 32243, 31395, 32241])).
% 51.49/34.11 tff(32247,plain,
% 51.49/34.11 (m_processor_v_master(c_p0, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1191, 32246, 31432])).
% 51.49/34.11 tff(32248,plain,
% 51.49/34.11 (~m_processor_v_master(c_p1, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1437, 32247])).
% 51.49/34.11 tff(32249,plain,
% 51.49/34.11 (m_processor_v_cmd(c_p1, s4, c_idle)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1517, 32248])).
% 51.49/34.11 tff(32250,plain,
% 51.49/34.11 (~node17(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1280, 32247])).
% 51.49/34.11 tff(32251,plain,
% 51.49/34.11 (~m_memory_v_master(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1295, 32250])).
% 51.49/34.11 tff(32252,plain,
% 51.49/34.11 (~node29(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1310, 32251])).
% 51.49/34.11 tff(32253,plain,
% 51.49/34.11 (m_memory_v_cmd(c_m, s4, c_idle)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1325, 32252])).
% 51.49/34.11 tff(32254,plain,
% 51.49/34.11 (~node16(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1535, 32247])).
% 51.49/34.11 tff(32255,plain,
% 51.49/34.11 (~m_processor_v_master(c_p2, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1550, 32254])).
% 51.49/34.11 tff(32256,plain,
% 51.49/34.11 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1582, 32255])).
% 51.49/34.11 tff(32257,plain,
% 51.49/34.11 (node8(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1599, 1593, 32256, 32253, 32249])).
% 51.49/34.11 tff(32258,plain,
% 51.49/34.11 (m_main_v_CMD(s4, c_read_h_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[28333, 32257, 32247, 32182, 32181, 32246])).
% 51.49/34.11 tff(32259,plain,
% 51.49/34.11 (m_memory_v_CMD(c_m, s4, c_read_h_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[28372, 4207, 12584, 32258])).
% 51.49/34.11 tff(32260,plain,
% 51.49/34.11 (m_processor_v_waiting(c_p0, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[2285, 32246, 31432])).
% 51.49/34.11 tff(32261,plain,
% 51.49/34.11 (~m_memory_v_cmd(c_m, s5, c_idle)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[32205, 32260, 32243, 30121, 32244, 31387, 31432, 32245])).
% 51.49/34.11 tff(32262,plain,
% 51.49/34.11 (node29(c_m, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[7144, 32261])).
% 51.49/34.11 tff(32263,plain,
% 51.49/34.11 (m_memory_v_busy(c_m, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[29294, 32262])).
% 51.49/34.11 tff(32264,plain,
% 51.49/34.11 (~m_processor_v_state(c_p1, s4, c_shared)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[19185, 32248, 32155, 31437])).
% 51.49/34.11 tff(32265,plain,
% 51.49/34.11 (m_processor_v_reply_h_owned(c_p1, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31453, 32264, 30121, 32248])).
% 51.49/34.11 tff(32266,plain,
% 51.49/34.11 (~node5(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31445, 32265])).
% 51.49/34.11 tff(32267,plain,
% 51.49/34.11 (m_main_v_REPLY_h_OWNED(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31474, 32266])).
% 51.49/34.11 tff(32268,plain,
% 51.49/34.11 (m_memory_v_REPLY_h_OWNED(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31481, 32267])).
% 51.49/34.11 tff(32269,plain,
% 51.49/34.11 (m_memory_v_busy(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31813, 32268, 32263])).
% 51.49/34.11 tff(32270,plain,
% 51.49/34.11 (~node32(c_p0, s4, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1103, 32246, 32181, 32182])).
% 51.49/34.11 tff(32271,plain,
% 51.49/34.11 (~m_processor_v_abort(c_p0, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1124, 32270])).
% 51.49/34.11 tff(32272,plain,
% 51.49/34.11 (node60(c_p0, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1353, 32271])).
% 51.49/34.11 tff(32273,plain,
% 51.49/34.11 (~m_processor_v_REPLY_h_STALL(c_p0, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1368, 32272])).
% 51.49/34.11 tff(32274,plain,
% 51.49/34.11 (~m_main_v_REPLY_h_STALL(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1386, 32273])).
% 51.49/34.11 tff(32275,plain,
% 51.49/34.11 (node7(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[12555, 32274])).
% 51.49/34.11 tff(32276,plain,
% 51.49/34.11 (~m_memory_v_reply_h_stall(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[12559, 3923, 32275])).
% 51.49/34.11 tff(32277,plain,
% 51.49/34.11 (node30(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[12569, 32276, 32269])).
% 51.49/34.11 tff(32278,plain,
% 51.49/34.11 ($false),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31834, 5042, 32277, 32259])).
% 51.49/34.11 tff(32279,plain,(node67(s9) | m_processor_v_state(c_p0, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.49/34.11 tff(32280,plain,
% 51.49/34.11 (node67(s9)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[32279, 3])).
% 51.49/34.11 tff(32281,plain,
% 51.49/34.11 (m_processor_v_writable(c_p0, s9)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[14729, 32280])).
% 51.49/34.11 tff(32282,plain,
% 51.49/34.11 (node56(c_p0, s9)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[14737, 32281])).
% 51.49/34.11 tff(32283,plain,
% 51.49/34.11 (m_processor_v_state(c_p0, s9, c_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[14745, 32282])).
% 51.49/34.11 tff(32284,plain,
% 51.49/34.11 (~m_processor_v_waiting(c_p0, s9)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[14756, 540, 32282])).
% 51.49/34.11 tff(32285,plain,
% 51.49/34.11 (m_main_v_CMD(s7, c_read_h_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[24702, 32284, 3, 32283, 32232])).
% 51.49/34.11 tff(32286,plain,
% 51.49/34.11 (m_memory_v_CMD(c_m, s7, c_read_h_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[15375, 32285])).
% 51.49/34.11 tff(32287,plain,
% 51.49/34.11 (~node25(c_m, s7)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[15386, 32286])).
% 51.49/34.11 tff(32288,plain,
% 51.49/34.11 (~node26(c_m, s7)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[15395, 32287, 32237])).
% 51.49/34.11 tff(32289,plain,
% 51.49/34.11 (m_memory_v_abort(c_m, s7)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[15403, 32288])).
% 51.49/34.11 tff(32290,plain,
% 51.49/34.11 (node18(c_m, s7, s8)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[15415, 32289])).
% 51.49/34.11 tff(32291,plain,
% 51.49/34.11 (~node30(c_m, s7)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[15461, 32286])).
% 51.49/34.11 tff(32292,plain,
% 51.49/34.11 (~node32(c_p0, s7, s8)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[29609, 32284, 3, 32283])).
% 51.49/34.11 tff(32293,plain,
% 51.49/34.11 (~m_processor_v_abort(c_p0, s7)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[14492, 32292])).
% 51.49/34.11 tff(32294,plain,
% 51.49/34.11 (node60(c_p0, s7)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[15422, 32293])).
% 51.49/34.11 tff(32295,plain,
% 51.49/34.11 (~m_processor_v_REPLY_h_STALL(c_p0, s7)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[15430, 32294])).
% 51.49/34.11 tff(32296,plain,
% 51.49/34.11 (~m_main_v_REPLY_h_STALL(s7)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[15438, 32295])).
% 51.49/34.11 tff(32297,plain,
% 51.49/34.11 (node7(s7)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[15446, 32296])).
% 51.49/34.11 tff(32298,plain,
% 51.49/34.11 (~m_memory_v_reply_h_stall(c_m, s7)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[15454, 32297])).
% 51.49/34.11 tff(32299,plain,
% 51.49/34.11 (~m_memory_v_busy(c_m, s7)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[15470, 32298, 32291])).
% 51.49/34.11 tff(32300,plain,
% 51.49/34.11 (~m_memory_v_busy(c_m, s8)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[24889, 32299, 32290])).
% 51.49/34.11 tff(32301,plain,
% 51.49/34.11 (m_processor_v_cmd(c_p1, s7, c_idle)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[14619, 32233])).
% 51.49/34.11 tff(32302,plain,
% 51.49/34.11 (m_processor_v_waiting(c_p0, s8)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[15327, 32293, 3, 32232, 32301])).
% 51.49/34.11 tff(32303,plain,
% 51.49/34.11 (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[24495, 32302, 32284])).
% 51.49/34.11 tff(32304,plain,
% 51.49/34.11 (m_processor_v_writable(c_p1, s9)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[6259, 32280])).
% 51.49/34.11 tff(32305,plain,
% 51.49/34.11 (node56(c_p1, s9)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[6267, 32304])).
% 51.49/34.11 tff(32306,plain,
% 51.49/34.11 (~m_processor_v_waiting(c_p1, s9)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[6546, 540, 32305])).
% 51.49/34.11 tff(32307,plain,
% 51.49/34.11 (~node52(c_p0, s8, s9)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[15337, 32302, 32284])).
% 51.49/34.11 tff(32308,plain,
% 51.49/34.11 (m_processor_v_state(c_p1, s9, c_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[6275, 32305])).
% 51.49/34.11 tff(32309,plain,
% 51.49/34.11 (~m_processor_v_state(c_p1, s9, c_shared)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[6286, 121, 32308])).
% 51.49/34.11 tff(32310,plain,
% 51.49/34.11 (~m_processor_v_state(c_p1, s9, c_invalid)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[6279, 137, 32308])).
% 51.49/34.11 tff(32311,plain,
% 51.49/34.11 (m_processor_v_state(c_p1, s8, c_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[26081, 32233, 31379])).
% 51.49/34.11 tff(32312,plain,
% 51.49/34.11 (~node46(c_p0, s8, s9)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[15499, 32302, 32284])).
% 51.49/34.11 tff(32313,plain,
% 51.49/34.11 (~m_processor_v_abort(c_p0, s8)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[15507, 32312])).
% 51.49/34.11 tff(32314,plain,
% 51.49/34.11 (~m_memory_v_cmd(c_m, s8, c_idle)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[16096, 32313, 32283, 32311, 32310, 32309, 32307, 32306, 32303, 32284])).
% 51.49/34.11 tff(32315,plain,
% 51.49/34.11 (node29(c_m, s8)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[15489, 32314])).
% 51.49/34.11 tff(32316,plain,
% 51.49/34.11 ($false),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[15481, 2072, 32315, 32300])).
% 51.49/34.11 tff(32317,plain,(m_processor_v_state(c_p0, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.49/34.11 tff(32318,plain,
% 51.49/34.11 (node67(s6)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31368, 5949, 29571, 30121, 31386, 4])).
% 51.49/34.11 tff(32319,plain,
% 51.49/34.11 (m_processor_v_writable(c_p0, s6)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[51, 32318])).
% 51.49/34.11 tff(32320,plain,
% 51.49/34.11 (node56(c_p0, s6)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[33, 32319])).
% 51.49/34.11 tff(32321,plain,
% 51.49/34.11 (m_processor_v_state(c_p0, s5, c_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31431, 32320])).
% 51.49/34.11 tff(32322,plain,
% 51.49/34.11 (~m_processor_v_waiting(c_p0, s6)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31394, 32320])).
% 51.49/34.11 tff(32323,plain,
% 51.49/34.11 (~m_processor_v_state(c_p1, s6, c_invalid)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31425, 5949, 29571, 30121, 31386, 29556, 13266])).
% 51.49/34.11 tff(32324,plain,
% 51.49/34.11 (m_processor_v_writable(c_p1, s6)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[682, 32318])).
% 51.49/34.11 tff(32325,plain,
% 51.49/34.11 (node56(c_p1, s6)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[672, 32324])).
% 51.49/34.11 tff(32326,plain,
% 51.49/34.11 (~m_processor_v_waiting(c_p1, s6)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[545, 32325])).
% 51.49/34.11 tff(32327,plain,
% 51.49/34.11 (~m_processor_v_state(c_p0, s6, c_invalid)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1035, 137, 29556])).
% 51.49/34.11 tff(32328,plain,
% 51.49/34.11 (~m_processor_v_state(c_p0, s6, c_shared)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[809, 29556])).
% 51.49/34.11 tff(32329,plain,
% 51.49/34.11 (m_processor_v_state(c_p1, s6, c_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[111, 32325])).
% 51.49/34.11 tff(32330,plain,
% 51.49/34.11 (~m_processor_v_state(c_p1, s6, c_shared)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[129, 32329])).
% 51.49/34.11 tff(32331,plain,
% 51.49/34.11 (~m_processor_v_state(c_p0, s4, c_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[32179, 32330, 32328, 32327, 32326, 32323, 32322, 32321])).
% 51.49/34.11 tff(32332,plain,
% 51.49/34.11 (~m_processor_v_state(c_p0, s5, c_invalid)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1072, 137, 32321])).
% 51.49/34.11 tff(32333,plain,
% 51.49/34.11 (~m_processor_v_state(c_p0, s5, c_shared)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1068, 32321])).
% 51.49/34.11 tff(32334,plain,
% 51.49/34.11 (m_processor_v_master(c_p0, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1191, 32331, 32321])).
% 51.49/34.11 tff(32335,plain,
% 51.49/34.11 (~m_processor_v_master(c_p1, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1437, 32334])).
% 51.49/34.11 tff(32336,plain,
% 51.49/34.11 (m_processor_v_cmd(c_p1, s4, c_idle)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1517, 32335])).
% 51.49/34.11 tff(32337,plain,
% 51.49/34.11 (~node17(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1280, 32334])).
% 51.49/34.11 tff(32338,plain,
% 51.49/34.11 (~m_memory_v_master(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1295, 32337])).
% 51.49/34.11 tff(32339,plain,
% 51.49/34.11 (~node29(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1310, 32338])).
% 51.49/34.11 tff(32340,plain,
% 51.49/34.11 (m_memory_v_cmd(c_m, s4, c_idle)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1325, 32339])).
% 51.49/34.11 tff(32341,plain,
% 51.49/34.11 (~node16(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1535, 32334])).
% 51.49/34.11 tff(32342,plain,
% 51.49/34.11 (~m_processor_v_master(c_p2, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1550, 32341])).
% 51.49/34.11 tff(32343,plain,
% 51.49/34.11 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1582, 32342])).
% 51.49/34.11 tff(32344,plain,
% 51.49/34.11 (node8(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1599, 1593, 32343, 32340, 32336])).
% 51.49/34.11 tff(32345,plain,
% 51.49/34.11 (m_main_v_CMD(s4, c_read_h_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[28333, 32344, 32334, 32333, 32332, 32331])).
% 51.49/34.11 tff(32346,plain,
% 51.49/34.11 (m_memory_v_CMD(c_m, s4, c_read_h_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[28372, 4207, 12584, 32345])).
% 51.49/34.11 tff(32347,plain,
% 51.49/34.11 (m_processor_v_waiting(c_p0, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[2285, 32331, 32321])).
% 51.49/34.11 tff(32348,plain,
% 51.49/34.11 (~m_memory_v_cmd(c_m, s5, c_idle)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[32205, 32347, 32323, 30121, 32328, 32318, 32321, 32327])).
% 51.49/34.11 tff(32349,plain,
% 51.49/34.11 (node29(c_m, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[7144, 32348])).
% 51.49/34.11 tff(32350,plain,
% 51.49/34.11 (m_memory_v_busy(c_m, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[29294, 32349])).
% 51.49/34.11 tff(32351,plain,
% 51.49/34.11 (~m_processor_v_state(c_p1, s4, c_shared)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[19185, 32335, 32155, 31437])).
% 51.49/34.11 tff(32352,plain,
% 51.49/34.11 (m_processor_v_reply_h_owned(c_p1, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31453, 32351, 30121, 32335])).
% 51.49/34.11 tff(32353,plain,
% 51.49/34.11 (~node5(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31445, 32352])).
% 51.49/34.11 tff(32354,plain,
% 51.49/34.11 (m_main_v_REPLY_h_OWNED(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31474, 32353])).
% 51.49/34.11 tff(32355,plain,
% 51.49/34.11 (m_memory_v_REPLY_h_OWNED(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31481, 32354])).
% 51.49/34.11 tff(32356,plain,
% 51.49/34.11 (m_memory_v_busy(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31813, 32355, 32350])).
% 51.49/34.11 tff(32357,plain,
% 51.49/34.11 (~node32(c_p0, s4, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1103, 32332, 32331, 32333])).
% 51.49/34.11 tff(32358,plain,
% 51.49/34.11 (~m_processor_v_abort(c_p0, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1124, 32357])).
% 51.49/34.11 tff(32359,plain,
% 51.49/34.11 (node60(c_p0, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1353, 32358])).
% 51.49/34.11 tff(32360,plain,
% 51.49/34.11 (~m_processor_v_REPLY_h_STALL(c_p0, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1368, 32359])).
% 51.49/34.11 tff(32361,plain,
% 51.49/34.11 (~m_main_v_REPLY_h_STALL(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1386, 32360])).
% 51.49/34.11 tff(32362,plain,
% 51.49/34.11 (node7(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[12555, 32361])).
% 51.49/34.11 tff(32363,plain,
% 51.49/34.11 (~m_memory_v_reply_h_stall(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[12559, 3923, 32362])).
% 51.49/34.11 tff(32364,plain,
% 51.49/34.11 (node30(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[12569, 32363, 32356])).
% 51.49/34.11 tff(32365,plain,
% 51.49/34.11 ($false),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31834, 5042, 32364, 32346])).
% 51.49/34.11 tff(32366,plain,(node67(s9) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | m_processor_v_state(c_p1, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.49/34.11 tff(32367,plain,
% 51.49/34.11 (node67(s9)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[32366, 23598, 4])).
% 51.49/34.11 tff(32368,plain,
% 51.49/34.11 (m_processor_v_writable(c_p1, s9)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[6259, 32367])).
% 51.49/34.11 tff(32369,plain,
% 51.49/34.11 (node56(c_p1, s9)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[6267, 32368])).
% 51.49/34.11 tff(32370,plain,
% 51.49/34.11 (m_processor_v_state(c_p1, s9, c_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[6275, 32369])).
% 51.49/34.11 tff(32371,plain,
% 51.49/34.11 (~m_processor_v_waiting(c_p1, s9)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[6546, 540, 32369])).
% 51.49/34.11 tff(32372,plain,
% 51.49/34.11 (m_processor_v_state(c_p1, s8, c_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[26157, 32371, 32370])).
% 51.49/34.11 tff(32373,plain,
% 51.49/34.11 (~m_processor_v_state(c_p0, s7, c_invalid)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[2316, 137, 32317])).
% 51.49/34.11 tff(32374,plain,
% 51.49/34.11 (~m_processor_v_state(c_p0, s7, c_shared)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[30009, 32317])).
% 51.49/34.11 tff(32375,plain,
% 51.49/34.11 (m_processor_v_state(c_p0, s8, c_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[18124, 55, 32374, 32373])).
% 51.49/34.11 tff(32376,plain,
% 51.49/34.11 (m_processor_v_writable(c_p0, s9)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[14729, 32367])).
% 51.49/34.11 tff(32377,plain,
% 51.49/34.11 (node56(c_p0, s9)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[14737, 32376])).
% 51.49/34.11 tff(32378,plain,
% 51.49/34.11 (~m_processor_v_waiting(c_p0, s9)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[14756, 540, 32377])).
% 51.49/34.11 tff(32379,plain,
% 51.49/34.11 (~m_processor_v_state(c_p1, s9, c_shared)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[6286, 121, 32370])).
% 51.49/34.11 tff(32380,plain,
% 51.49/34.11 (~m_processor_v_state(c_p1, s9, c_invalid)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[6279, 137, 32370])).
% 51.49/34.11 tff(32381,plain,
% 51.49/34.11 (m_processor_v_master(c_p0, s7) | m_processor_v_reply_h_owned(c_p0, s7)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[24862, 10170, 32317])).
% 51.49/34.11 tff(32382,plain,
% 51.49/34.11 (m_processor_v_reply_h_owned(c_p0, s7)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[32381, 55])).
% 51.49/34.11 tff(32383,plain,
% 51.49/34.11 (~node5(s7)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[24866, 10185, 32382])).
% 51.49/34.11 tff(32384,plain,
% 51.49/34.11 (m_main_v_REPLY_h_OWNED(s7)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[15356, 32383])).
% 51.49/34.11 tff(32385,plain,
% 51.49/34.11 (m_memory_v_REPLY_h_OWNED(c_m, s7)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[15364, 32384])).
% 51.49/34.11 tff(32386,plain,
% 51.49/34.11 (m_processor_v_state(c_p0, s9, c_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[14745, 32377])).
% 51.49/34.11 tff(32387,plain,
% 51.49/34.11 (~m_processor_v_state(c_p0, s9, c_shared)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[14766, 121, 32386])).
% 51.49/34.11 tff(32388,plain,
% 51.49/34.11 (~m_processor_v_state(c_p0, s9, c_invalid)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[14770, 137, 32386])).
% 51.49/34.11 tff(32389,plain,
% 51.49/34.11 ($false),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[26501, 32388, 32387, 4, 32385, 32380, 32379, 32378, 32375, 32371, 32372])).
% 51.49/34.11 tff(32390,plain,(m_processor_v_master(c_p0, s7) | m_processor_v_state(c_p1, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.49/34.11 tff(32391,plain,
% 51.49/34.11 (m_processor_v_master(c_p0, s7)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[32390, 4])).
% 51.49/34.11 tff(32392,plain,
% 51.49/34.11 (~m_processor_v_master(c_p1, s7)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[13229, 794, 32391])).
% 51.49/34.11 tff(32393,plain,
% 51.49/34.11 (node67(s6)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[26782, 32392, 31386, 4, 29571])).
% 51.49/34.11 tff(32394,plain,
% 51.49/34.11 (m_processor_v_writable(c_p0, s6)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[51, 32393])).
% 51.49/34.11 tff(32395,plain,
% 51.49/34.11 (node56(c_p0, s6)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[33, 32394])).
% 51.49/34.11 tff(32396,plain,
% 51.49/34.11 (m_processor_v_state(c_p0, s5, c_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31431, 32395])).
% 51.49/34.11 tff(32397,plain,
% 51.49/34.11 (~m_processor_v_waiting(c_p0, s6)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31394, 32395])).
% 51.49/34.11 tff(32398,plain,
% 51.49/34.11 (m_processor_v_writable(c_p1, s6)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[682, 32393])).
% 51.49/34.11 tff(32399,plain,
% 51.49/34.11 (node56(c_p1, s6)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[672, 32398])).
% 51.49/34.11 tff(32400,plain,
% 51.49/34.11 (m_processor_v_state(c_p1, s6, c_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[111, 32399])).
% 51.49/34.11 tff(32401,plain,
% 51.49/34.11 (~m_processor_v_state(c_p1, s6, c_shared)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[129, 32400])).
% 51.49/34.11 tff(32402,plain,
% 51.49/34.11 (~m_processor_v_waiting(c_p1, s6)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[545, 32399])).
% 51.49/34.11 tff(32403,plain,
% 51.49/34.11 (~m_processor_v_state(c_p1, s6, c_invalid)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[140, 137, 32400])).
% 51.49/34.11 tff(32404,plain,
% 51.49/34.11 (~m_processor_v_state(c_p0, s4, c_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[32179, 32403, 32328, 32327, 32402, 32401, 32397, 32396])).
% 51.49/34.11 tff(32405,plain,
% 51.49/34.11 (~m_processor_v_state(c_p0, s5, c_invalid)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1072, 137, 32396])).
% 51.49/34.11 tff(32406,plain,
% 51.49/34.11 (~m_processor_v_state(c_p0, s5, c_shared)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1068, 32396])).
% 51.49/34.11 tff(32407,plain,
% 51.49/34.11 (m_processor_v_master(c_p0, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1191, 32404, 32396])).
% 51.49/34.11 tff(32408,plain,
% 51.49/34.11 (~m_processor_v_master(c_p1, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1437, 32407])).
% 51.49/34.11 tff(32409,plain,
% 51.49/34.11 (m_processor_v_cmd(c_p1, s4, c_idle)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1517, 32408])).
% 51.49/34.11 tff(32410,plain,
% 51.49/34.11 (~node17(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1280, 32407])).
% 51.49/34.11 tff(32411,plain,
% 51.49/34.11 (~m_memory_v_master(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1295, 32410])).
% 51.49/34.11 tff(32412,plain,
% 51.49/34.11 (~node29(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1310, 32411])).
% 51.49/34.11 tff(32413,plain,
% 51.49/34.11 (m_memory_v_cmd(c_m, s4, c_idle)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1325, 32412])).
% 51.49/34.11 tff(32414,plain,
% 51.49/34.11 (~node16(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1535, 32407])).
% 51.49/34.11 tff(32415,plain,
% 51.49/34.11 (~m_processor_v_master(c_p2, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1550, 32414])).
% 51.49/34.11 tff(32416,plain,
% 51.49/34.11 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1582, 32415])).
% 51.49/34.11 tff(32417,plain,
% 51.49/34.11 (node8(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1599, 1593, 32416, 32413, 32409])).
% 51.49/34.11 tff(32418,plain,
% 51.49/34.11 (m_main_v_CMD(s4, c_read_h_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[28333, 32417, 32407, 32406, 32405, 32404])).
% 51.49/34.11 tff(32419,plain,
% 51.49/34.11 (m_memory_v_CMD(c_m, s4, c_read_h_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[28372, 4207, 12584, 32418])).
% 51.49/34.11 tff(32420,plain,
% 51.49/34.11 (m_processor_v_waiting(c_p0, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[2285, 32404, 32396])).
% 51.49/34.11 tff(32421,plain,
% 51.49/34.11 (~m_memory_v_cmd(c_m, s5, c_idle)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[32205, 32420, 32403, 30121, 32328, 32393, 32396, 32327])).
% 51.49/34.11 tff(32422,plain,
% 51.49/34.11 (node29(c_m, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[7144, 32421])).
% 51.49/34.11 tff(32423,plain,
% 51.49/34.11 (m_memory_v_busy(c_m, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[29294, 32422])).
% 51.49/34.11 tff(32424,plain,
% 51.49/34.11 (~m_processor_v_state(c_p1, s4, c_shared)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[19185, 32408, 32155, 31437])).
% 51.49/34.11 tff(32425,plain,
% 51.49/34.11 (m_processor_v_reply_h_owned(c_p1, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31453, 32424, 30121, 32408])).
% 51.49/34.11 tff(32426,plain,
% 51.49/34.11 (~node5(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31445, 32425])).
% 51.49/34.11 tff(32427,plain,
% 51.49/34.11 (m_main_v_REPLY_h_OWNED(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31474, 32426])).
% 51.49/34.11 tff(32428,plain,
% 51.49/34.11 (m_memory_v_REPLY_h_OWNED(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31481, 32427])).
% 51.49/34.11 tff(32429,plain,
% 51.49/34.11 (m_memory_v_busy(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31813, 32428, 32423])).
% 51.49/34.11 tff(32430,plain,
% 51.49/34.11 (~node32(c_p0, s4, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1103, 32404, 32405, 32406])).
% 51.49/34.11 tff(32431,plain,
% 51.49/34.11 (~m_processor_v_abort(c_p0, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1124, 32430])).
% 51.49/34.11 tff(32432,plain,
% 51.49/34.11 (node60(c_p0, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1353, 32431])).
% 51.49/34.11 tff(32433,plain,
% 51.49/34.11 (~m_processor_v_REPLY_h_STALL(c_p0, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1368, 32432])).
% 51.49/34.11 tff(32434,plain,
% 51.49/34.11 (~m_main_v_REPLY_h_STALL(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1386, 32433])).
% 51.49/34.11 tff(32435,plain,
% 51.49/34.11 (node7(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[12555, 32434])).
% 51.49/34.11 tff(32436,plain,
% 51.49/34.11 (~m_memory_v_reply_h_stall(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[12559, 3923, 32435])).
% 51.49/34.11 tff(32437,plain,
% 51.49/34.11 (node30(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[12569, 32436, 32429])).
% 51.49/34.11 tff(32438,plain,
% 51.49/34.11 ($false),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31834, 5042, 32437, 32419])).
% 51.49/34.11 tff(32439,plain,(m_processor_v_state(c_p1, s7, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.49/34.11 tff(32440,plain,
% 51.49/34.11 (~m_processor_v_state(c_p1, s7, c_invalid)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[13403, 137, 32439])).
% 51.49/34.11 tff(32441,plain,
% 51.49/34.11 (m_processor_v_state(c_p0, s6, c_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[29575, 32440, 32317])).
% 51.49/34.11 tff(32442,plain,
% 51.49/34.11 (m_processor_v_state(c_p0, s5, c_owned) | m_processor_v_waiting(c_p0, s6)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[26669, 32441])).
% 51.49/34.11 tff(32443,plain,
% 51.49/34.11 (m_processor_v_state(c_p0, s5, c_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[32442, 2])).
% 51.49/34.11 tff(32444,plain,
% 51.49/34.11 (node8(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1599, 1593, 1583, 1326, 1518])).
% 51.49/34.11 tff(32445,plain,
% 51.49/34.11 (m_main_v_CMD(s4, c_read_h_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[28333, 32444, 1192, 1069, 1073, 54])).
% 51.49/34.11 tff(32446,plain,
% 51.49/34.11 (m_memory_v_CMD(c_m, s4, c_read_h_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[28372, 4207, 12584, 32445])).
% 51.49/34.11 tff(32447,plain,
% 51.49/34.11 (~m_processor_v_state(c_p0, s6, c_invalid)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[1035, 137, 32441])).
% 51.49/34.11 tff(32448,plain,
% 51.49/34.11 (~m_processor_v_state(c_p0, s6, c_shared)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[809, 32441])).
% 51.49/34.11 tff(32449,plain,
% 51.49/34.11 (m_processor_v_waiting(c_p0, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[2285, 54, 1060])).
% 51.49/34.11 tff(32450,plain,
% 51.49/34.11 (~m_memory_v_cmd(c_m, s5, c_idle)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[32117, 32449, 30121, 1, 143, 32448, 32447, 1060, 2])).
% 51.49/34.11 tff(32451,plain,
% 51.49/34.11 (node29(c_m, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[7144, 32450])).
% 51.49/34.11 tff(32452,plain,
% 51.49/34.11 (m_memory_v_busy(c_m, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[29294, 32451])).
% 51.49/34.11 tff(32453,plain,
% 51.49/34.11 (~m_processor_v_state(c_p1, s4, c_shared)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[19185, 1438, 32155, 31437])).
% 51.49/34.11 tff(32454,plain,
% 51.49/34.11 (m_processor_v_reply_h_owned(c_p1, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31453, 1438, 30121, 32453])).
% 51.49/34.11 tff(32455,plain,
% 51.49/34.11 (~node5(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31445, 32454])).
% 51.49/34.11 tff(32456,plain,
% 51.49/34.11 (m_main_v_REPLY_h_OWNED(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31474, 32455])).
% 51.49/34.11 tff(32457,plain,
% 51.49/34.11 (m_memory_v_REPLY_h_OWNED(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31481, 32456])).
% 51.49/34.11 tff(32458,plain,
% 51.49/34.11 (m_memory_v_busy(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31813, 32457, 32452])).
% 51.49/34.11 tff(32459,plain,
% 51.49/34.11 (node7(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[12555, 1387])).
% 51.49/34.11 tff(32460,plain,
% 51.49/34.11 (~m_memory_v_reply_h_stall(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[12559, 3923, 32459])).
% 51.49/34.11 tff(32461,plain,
% 51.49/34.11 (node30(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[12569, 32460, 32458])).
% 51.49/34.11 tff(32462,plain,
% 51.49/34.11 ($false),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31834, 5042, 32461, 32446])).
% 51.49/34.11 tff(32463,plain,(m_processor_v_state(c_p0, s4, c_owned) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s6, c_invalid) | (~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_waiting(c_p0, s6)), inference(lemma,lemma(discharge,[]))).
% 51.49/34.11 tff(32464,plain,
% 51.49/34.11 (m_processor_v_state(c_p1, s6, c_invalid)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[32463, 54, 2, 32443, 1])).
% 51.49/34.11 tff(32465,plain,
% 51.49/34.11 ((~m_processor_v_state(c_p1, s6, c_invalid)) | m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s6, c_shared)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[13615, 32440])).
% 51.49/34.11 tff(32466,plain,
% 51.49/34.11 (m_processor_v_master(c_p1, s6)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[32465, 32464, 1])).
% 51.49/34.11 tff(32467,plain,
% 51.49/34.11 ((~m_processor_v_state(c_p1, s6, c_invalid)) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_waiting(c_p1, s7)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[18851, 32440])).
% 51.49/34.11 tff(32468,plain,
% 51.49/34.11 (m_processor_v_waiting(c_p1, s7)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[32467, 32464, 32466])).
% 51.49/34.11 tff(32469,plain,
% 51.49/34.11 (~m_processor_v_state(c_p1, s6, c_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[140, 137, 32464])).
% 51.49/34.11 tff(32470,plain,
% 51.49/34.11 (~node56(c_p1, s6)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[111, 32469])).
% 51.49/34.11 tff(32471,plain,
% 51.49/34.11 (~m_processor_v_writable(c_p1, s6)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[672, 32470])).
% 51.49/34.11 tff(32472,plain,
% 51.49/34.11 (~node67(s6)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[682, 32471])).
% 51.49/34.11 tff(32473,plain,
% 51.49/34.11 (~node56(c_p1, s7)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[18172, 540, 32468])).
% 51.49/34.11 tff(32474,plain,
% 51.49/34.11 (~m_processor_v_writable(c_p1, s7)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[12523, 32473])).
% 51.49/34.11 tff(32475,plain,
% 51.49/34.11 (~node67(s7)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[12530, 32474])).
% 51.49/34.11 tff(32476,plain,
% 51.49/34.11 (~m_processor_v_master(c_p1, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[797, 794, 26642])).
% 51.49/34.11 tff(32477,plain,
% 51.49/34.11 (((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_master(c_p1, s5) | m_processor_v_reply_h_owned(c_p1, s5))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_master(c_p1, s5) | m_processor_v_reply_h_owned(c_p1, s5))),
% 51.49/34.11 inference(rewrite,[status(thm)],[])).
% 51.49/34.11 tff(32478,plain,
% 51.49/34.11 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | ((~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_master(c_p1, s5) | m_processor_v_reply_h_owned(c_p1, s5))),
% 51.49/34.11 inference(quant_inst,[status(thm)],[])).
% 51.49/34.11 tff(32479,plain,
% 51.49/34.11 ((~![I0: $i, X: $i] : ((~m_processor_v_state(I0, X, c_owned)) | m_processor_v_master(I0, X) | m_processor_v_reply_h_owned(I0, X))) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_master(c_p1, s5) | m_processor_v_reply_h_owned(c_p1, s5)),
% 51.49/34.11 inference(modus_ponens,[status(thm)],[32478, 32477])).
% 51.49/34.11 tff(32480,plain,
% 51.49/34.11 (m_processor_v_master(c_p1, s5) | m_processor_v_reply_h_owned(c_p1, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[32479, 10170, 13853])).
% 51.49/34.11 tff(32481,plain,
% 51.49/34.11 (m_processor_v_reply_h_owned(c_p1, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[32480, 32476])).
% 51.49/34.11 tff(32482,assumption,(m_processor_v_reply_h_owned(c_p1, s5)), introduced(assumption)).
% 51.49/34.11 tff(32483,plain,
% 51.49/34.11 (((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))) | ((~node5(s5)) | (~m_processor_v_reply_h_owned(c_p1, s5)))) <=> ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))) | (~node5(s5)) | (~m_processor_v_reply_h_owned(c_p1, s5)))),
% 51.49/34.11 inference(rewrite,[status(thm)],[])).
% 51.49/34.11 tff(32484,plain,
% 51.49/34.11 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))) | ((~node5(s5)) | (~m_processor_v_reply_h_owned(c_p1, s5)))),
% 51.49/34.11 inference(quant_inst,[status(thm)],[])).
% 51.49/34.11 tff(32485,plain,
% 51.49/34.11 ((~![X: $i] : ((~node5(X)) | (~m_processor_v_reply_h_owned(c_p1, X)))) | (~node5(s5)) | (~m_processor_v_reply_h_owned(c_p1, s5))),
% 51.49/34.11 inference(modus_ponens,[status(thm)],[32484, 32483])).
% 51.49/34.11 tff(32486,plain,
% 51.49/34.11 ($false),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[32485, 10333, 18207, 32482])).
% 51.49/34.11 tff(32487,plain,((~node5(s5)) | (~m_processor_v_reply_h_owned(c_p1, s5))), inference(lemma,lemma(discharge,[]))).
% 51.49/34.11 tff(32488,plain,
% 51.49/34.11 (~node5(s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[32487, 32481])).
% 51.49/34.11 tff(32489,plain,
% 51.49/34.11 (m_main_v_REPLY_h_OWNED(s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[18220, 32488])).
% 51.49/34.11 tff(32490,plain,
% 51.49/34.11 (m_memory_v_REPLY_h_OWNED(c_m, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[18228, 32489])).
% 51.49/34.11 tff(32491,plain,
% 51.49/34.11 (m_main_v_CMD(s5, c_read_h_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[18073, 1038])).
% 51.49/34.11 tff(32492,plain,
% 51.49/34.11 (m_memory_v_CMD(c_m, s5, c_read_h_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[18233, 4207, 32491, 6954])).
% 51.49/34.11 tff(32493,plain,
% 51.49/34.11 (~node25(c_m, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[18237, 9959, 32492])).
% 51.49/34.11 tff(32494,plain,
% 51.49/34.11 (~node26(c_m, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[18246, 32493, 32490])).
% 51.49/34.11 tff(32495,plain,
% 51.49/34.11 (m_memory_v_abort(c_m, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[18254, 32494])).
% 51.49/34.11 tff(32496,plain,
% 51.49/34.11 (node18(c_m, s5, s6)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[18266, 32495])).
% 51.49/34.11 tff(32497,plain,
% 51.49/34.11 (~node32(c_p0, s5, s6)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[26646, 799, 810, 18194])).
% 51.49/34.11 tff(32498,plain,
% 51.49/34.11 (~m_processor_v_abort(c_p0, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[951, 32497])).
% 51.49/34.11 tff(32499,plain,
% 51.49/34.11 (node60(c_p0, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[7281, 32498])).
% 51.49/34.11 tff(32500,plain,
% 51.49/34.11 (~m_processor_v_REPLY_h_STALL(c_p0, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[7289, 32499])).
% 51.49/34.11 tff(32501,plain,
% 51.49/34.11 (~m_main_v_REPLY_h_STALL(s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[7297, 32500])).
% 51.49/34.11 tff(32502,plain,
% 51.49/34.11 (node7(s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[7305, 32501])).
% 51.49/34.11 tff(32503,plain,
% 51.49/34.11 (~m_memory_v_reply_h_stall(c_m, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[7313, 32502])).
% 51.49/34.11 tff(32504,plain,
% 51.49/34.11 (~node30(c_m, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[18278, 32492])).
% 51.49/34.11 tff(32505,plain,
% 51.49/34.11 (~m_memory_v_busy(c_m, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[7322, 32504, 32503])).
% 51.49/34.11 tff(32506,plain,
% 51.49/34.11 ($false),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[18286, 10278, 24567, 32505, 32496])).
% 51.49/34.11 tff(32507,plain,(m_processor_v_state(c_p0, s5, c_owned) | (~m_memory_v_busy(c_m, s6)) | (~m_processor_v_state(c_p1, s5, c_owned)) | (~m_processor_v_state(c_p0, s6, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.49/34.11 tff(32508,plain,
% 51.49/34.11 (m_processor_v_state(c_p0, s5, c_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[32507, 24567, 30121, 32441])).
% 51.49/34.11 tff(32509,plain,
% 51.49/34.11 (~m_processor_v_reply_h_owned(c_p0, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[18212, 18207])).
% 51.49/34.11 tff(32510,plain,
% 51.49/34.11 (m_processor_v_master(c_p0, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[18204, 32509, 813, 812])).
% 51.49/34.11 tff(32511,plain,
% 51.49/34.11 (~m_processor_v_reply_h_owned(c_p1, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[32487, 18207])).
% 51.49/34.11 tff(32512,plain,
% 51.49/34.11 (m_processor_v_master(c_p1, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[32480, 32511])).
% 51.49/34.11 tff(32513,plain,
% 51.49/34.11 ($false),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[797, 794, 32512, 32510])).
% 51.49/34.11 tff(32514,plain,((~node5(s5)) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p0, s6, c_shared) | m_processor_v_state(c_p0, s6, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.49/34.11 tff(32515,plain,
% 51.49/34.11 (~node5(s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[32514, 32447, 30121, 32448])).
% 51.49/34.11 tff(32516,plain,
% 51.49/34.11 (m_main_v_REPLY_h_OWNED(s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[18220, 32515])).
% 51.49/34.11 tff(32517,plain,
% 51.49/34.11 (m_memory_v_REPLY_h_OWNED(c_m, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[18228, 32516])).
% 51.49/34.11 tff(32518,plain,
% 51.49/34.11 (m_memory_v_busy(c_m, s5)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[29393, 24567, 32517])).
% 51.49/34.11 tff(32519,plain,
% 51.49/34.11 (m_processor_v_reply_h_owned(c_p1, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31453, 1438, 30121, 6657])).
% 51.49/34.11 tff(32520,plain,
% 51.49/34.11 (~node5(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31445, 32519])).
% 51.49/34.11 tff(32521,plain,
% 51.49/34.11 (m_main_v_REPLY_h_OWNED(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31474, 32520])).
% 51.49/34.11 tff(32522,plain,
% 51.49/34.11 (m_memory_v_REPLY_h_OWNED(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31481, 32521])).
% 51.49/34.11 tff(32523,plain,
% 51.49/34.11 (m_memory_v_busy(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31813, 32522, 7316])).
% 51.49/34.11 tff(32524,plain,
% 51.49/34.11 (node30(c_m, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[12569, 32460, 32523])).
% 51.49/34.11 tff(32525,plain,
% 51.49/34.11 ($false),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31834, 5042, 32524, 32446])).
% 51.49/34.11 tff(32526,plain,(m_processor_v_state(c_p0, s4, c_owned) | (~m_memory_v_busy(c_m, s5)) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_state(c_p0, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.49/34.11 tff(32527,plain,
% 51.49/34.11 (m_processor_v_state(c_p0, s4, c_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[32526, 7316, 6657, 1060])).
% 51.49/34.11 tff(32528,plain,
% 51.49/34.11 (~node5(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31467, 32527, 30121, 6657])).
% 51.49/34.11 tff(32529,plain,
% 51.49/34.11 (m_main_v_REPLY_h_OWNED(s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31474, 32528])).
% 51.49/34.11 tff(32530,plain,
% 51.49/34.11 (~m_processor_v_state(c_p1, s3, c_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[29155, 7332, 1752, 6657])).
% 51.49/34.11 tff(32531,plain,
% 51.49/34.11 (m_processor_v_state(c_p0, s3, c_owned)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[19497, 32530, 30121, 1752])).
% 51.49/34.11 tff(32532,plain,
% 51.49/34.11 (m_processor_v_master(c_p1, s4)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[30231, 7332, 5656, 6657, 2652, 13853])).
% 51.49/34.11 tff(32533,plain,
% 51.49/34.11 (m_processor_v_master(c_p1, s3)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[31836, 7332, 19134, 19107, 6657, 5656])).
% 51.49/34.11 tff(32534,plain,
% 51.49/34.11 (~m_processor_v_master(c_p0, s3)),
% 51.49/34.11 inference(unit_resolution,[status(thm)],[9444, 794, 32533])).
% 51.49/34.12 tff(32535,plain,
% 51.49/34.12 (m_processor_v_reply_h_owned(c_p0, s3)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[19685, 32534])).
% 51.49/34.12 tff(32536,plain,
% 51.49/34.12 (~node5(s3)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[19689, 10185, 32535])).
% 51.49/34.12 tff(32537,plain,
% 51.49/34.12 (m_main_v_REPLY_h_OWNED(s3)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[19697, 32536])).
% 51.49/34.12 tff(32538,plain,
% 51.49/34.12 (m_memory_v_REPLY_h_OWNED(c_m, s3)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[19705, 32537])).
% 51.49/34.12 tff(32539,plain,
% 51.49/34.12 (m_processor_v_state(c_p1, s4, c_invalid)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[31866, 32538, 6657, 7332, 5656, 32533])).
% 51.49/34.12 tff(32540,plain,
% 51.49/34.12 (~node32(c_p1, s4, s5)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[16706, 32539, 19134])).
% 51.49/34.12 tff(32541,plain,
% 51.49/34.12 (~m_processor_v_abort(c_p1, s4)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[6859, 32540])).
% 51.49/34.12 tff(32542,plain,
% 51.49/34.12 (node34(c_p1, s4, s5)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[17176, 32541, 32532])).
% 51.49/34.12 tff(32543,plain,
% 51.49/34.12 (~node33(c_p1, s4, s5)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[31876, 399, 19134, 32539])).
% 51.49/34.12 tff(32544,plain,
% 51.49/34.12 (m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[19236, 32543, 19134, 19107, 32542])).
% 51.49/34.12 tff(32545,plain,
% 51.49/34.12 (m_main_v_CMD(s4, c_read_h_owned)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[2280, 32544])).
% 51.49/34.12 tff(32546,plain,
% 51.49/34.12 (m_memory_v_CMD(c_m, s4, c_read_h_owned)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[28372, 4207, 12584, 32545])).
% 51.49/34.12 tff(32547,plain,
% 51.49/34.12 (node60(c_p1, s4)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[1430, 32541])).
% 51.49/34.12 tff(32548,plain,
% 51.49/34.12 (~m_processor_v_REPLY_h_STALL(c_p1, s4)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[1702, 32547])).
% 51.49/34.12 tff(32549,plain,
% 51.49/34.12 (~m_main_v_REPLY_h_STALL(s4)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[1718, 32548])).
% 51.49/34.12 tff(32550,plain,
% 51.49/34.12 (node7(s4)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[12555, 32549])).
% 51.49/34.12 tff(32551,plain,
% 51.49/34.12 (~m_memory_v_reply_h_stall(c_m, s4)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[12559, 3923, 32550])).
% 51.49/34.12 tff(32552,plain,
% 51.49/34.12 (node30(c_m, s4)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[12569, 32551, 7332])).
% 51.49/34.12 tff(32553,plain,
% 51.49/34.12 ($false),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[31834, 5042, 32552, 32546])).
% 51.49/34.12 tff(32554,plain,((~m_memory_v_busy(c_m, s4)) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p0, s3, c_owned)) | (~m_processor_v_state(c_p1, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.49/34.12 tff(32555,plain,
% 51.49/34.12 ($false),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[32554, 32531, 32530, 30121, 6657, 7332])).
% 51.49/34.12 tff(32556,plain,((~m_memory_v_busy(c_m, s4)) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_state(c_p0, s4, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.49/34.12 tff(32557,plain,
% 51.49/34.12 (~m_memory_v_busy(c_m, s4)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[32556, 32527, 6657])).
% 51.49/34.12 tff(32558,plain,
% 51.49/34.12 (~m_memory_v_REPLY_h_OWNED(c_m, s4)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[31813, 32557, 7316])).
% 51.49/34.12 tff(32559,plain,
% 51.49/34.12 ($false),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[31481, 32558, 32529])).
% 51.49/34.12 tff(32560,plain,((~m_memory_v_busy(c_m, s5)) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_state(c_p0, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.49/34.12 tff(32561,plain,
% 51.49/34.12 (m_processor_v_state(c_p1, s4, c_shared)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[32560, 32518, 32508])).
% 51.49/34.12 tff(32562,plain,
% 51.49/34.12 (m_processor_v_master(c_p1, s4)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[19185, 32561, 32155, 31437])).
% 51.49/34.12 tff(32563,plain,
% 51.49/34.12 (m_processor_v_state(c_p1, s4, c_shared)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[32560, 7316, 1060])).
% 51.49/34.12 tff(32564,plain,
% 51.49/34.12 (~node32(c_p1, s4, s5)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[19139, 32563, 31437])).
% 51.49/34.12 tff(32565,plain,
% 51.49/34.12 (~m_processor_v_abort(c_p1, s4)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[6859, 32564])).
% 51.49/34.12 tff(32566,plain,
% 51.49/34.12 (m_processor_v_master(c_p1, s4)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[19185, 32563, 32155, 31437])).
% 51.49/34.12 tff(32567,plain,
% 51.49/34.12 (node34(c_p1, s4, s5)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[17176, 32566, 32565])).
% 51.49/34.12 tff(32568,plain,
% 51.49/34.12 (~node33(c_p1, s4, s5)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[19285, 399, 32563, 31437])).
% 51.49/34.12 tff(32569,plain,
% 51.49/34.12 (m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[19236, 32568, 32155, 31437, 32567])).
% 51.49/34.12 tff(32570,plain,
% 51.49/34.12 (m_main_v_CMD(s4, c_read_h_owned)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[2280, 32569])).
% 51.49/34.12 tff(32571,plain,
% 51.49/34.12 (m_memory_v_CMD(c_m, s4, c_read_h_owned)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[28372, 4207, 12584, 32570])).
% 51.49/34.12 tff(32572,plain,
% 51.49/34.12 (node60(c_p1, s4)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[1430, 32565])).
% 51.49/34.12 tff(32573,plain,
% 51.49/34.12 (~m_processor_v_REPLY_h_STALL(c_p1, s4)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[1702, 32572])).
% 51.49/34.12 tff(32574,plain,
% 51.49/34.12 (~m_main_v_REPLY_h_STALL(s4)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[1718, 32573])).
% 51.49/34.12 tff(32575,plain,
% 51.49/34.12 (node7(s4)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[12555, 32574])).
% 51.49/34.12 tff(32576,plain,
% 51.49/34.12 (~m_memory_v_reply_h_stall(c_m, s4)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[12559, 3923, 32575])).
% 51.49/34.12 tff(32577,plain,
% 51.49/34.12 (~m_processor_v_master(c_p0, s4)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[1437, 32566])).
% 51.49/34.12 tff(32578,plain,
% 51.49/34.12 (m_processor_v_reply_h_owned(c_p0, s4)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[31461, 32577, 1752])).
% 51.49/34.12 tff(32579,plain,
% 51.49/34.12 (~node5(s4)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[31465, 10185, 32578])).
% 51.49/34.12 tff(32580,plain,
% 51.49/34.12 (m_main_v_REPLY_h_OWNED(s4)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[31474, 32579])).
% 51.49/34.12 tff(32581,plain,
% 51.49/34.12 (m_memory_v_REPLY_h_OWNED(c_m, s4)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[31481, 32580])).
% 51.49/34.12 tff(32582,plain,
% 51.49/34.12 (m_memory_v_busy(c_m, s4)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[31813, 32581, 7316])).
% 51.49/34.12 tff(32583,plain,
% 51.49/34.12 (node30(c_m, s4)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[12569, 32582, 32576])).
% 51.49/34.12 tff(32584,plain,
% 51.49/34.12 ($false),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[31834, 5042, 32583, 32571])).
% 51.49/34.12 tff(32585,plain,((~m_memory_v_busy(c_m, s5)) | (~m_processor_v_state(c_p0, s4, c_owned)) | (~m_processor_v_state(c_p0, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.49/34.12 tff(32586,plain,
% 51.49/34.12 (~m_processor_v_state(c_p0, s4, c_owned)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[32585, 32518, 32508])).
% 51.49/34.12 tff(32587,plain,
% 51.49/34.12 (m_processor_v_master(c_p0, s4)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[1191, 32586, 32508])).
% 51.49/34.12 tff(32588,plain,
% 51.49/34.12 ($false),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[1437, 32587, 32562])).
% 51.49/34.12 tff(32589,plain,(~m_memory_v_busy(c_m, s6)), inference(lemma,lemma(discharge,[]))).
% 51.49/34.12 tff(32590,plain,
% 51.49/34.12 (~m_memory_v_busy(c_m, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[32507, 799, 30121, 32441])).
% 51.49/34.12 tff(32591,plain,
% 51.49/34.12 (m_processor_v_waiting(c_p0, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[26669, 799, 32441])).
% 51.49/34.12 tff(32592,plain,
% 51.49/34.12 (m_processor_v_master(c_p0, s6) | m_processor_v_reply_h_owned(c_p0, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[25481, 10170, 32441])).
% 51.49/34.12 tff(32593,plain,
% 51.49/34.12 (m_processor_v_reply_h_owned(c_p0, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[32592, 2318])).
% 51.49/34.12 tff(32594,plain,
% 51.49/34.12 (~node5(s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[25489, 32593])).
% 51.49/34.12 tff(32595,plain,
% 51.49/34.12 (m_main_v_REPLY_h_OWNED(s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[24252, 32594])).
% 51.49/34.12 tff(32596,plain,
% 51.49/34.12 (m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[24260, 32595])).
% 51.49/34.12 tff(32597,plain,
% 51.49/34.12 (~m_memory_v_busy(c_m, s7)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[25438, 32596, 32590])).
% 51.49/34.12 tff(32598,plain,
% 51.49/34.12 (~node29(c_m, s7)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[24392, 32597])).
% 51.49/34.12 tff(32599,plain,
% 51.49/34.12 (m_memory_v_cmd(c_m, s7, c_idle)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[13225, 32598])).
% 51.49/34.12 tff(32600,plain,
% 51.49/34.12 (~node29(c_m, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[18296, 32590])).
% 51.49/34.12 tff(32601,plain,
% 51.49/34.12 (m_memory_v_cmd(c_m, s6, c_idle)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[14285, 32600])).
% 51.49/34.12 tff(32602,plain,
% 51.49/34.12 (m_processor_v_waiting(c_p0, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[26669, 799, 24976])).
% 51.49/34.12 tff(32603,plain,
% 51.49/34.12 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s6)) | m_processor_v_waiting(c_p0, s7) | (~node52(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s6)) | m_processor_v_waiting(c_p0, s7) | (~node52(c_p0, s6, s7)))),
% 51.49/34.12 inference(rewrite,[status(thm)],[])).
% 51.49/34.12 tff(32604,plain,
% 51.49/34.12 ((m_processor_v_waiting(c_p0, s7) | (~m_processor_v_waiting(c_p0, s6)) | (~node52(c_p0, s6, s7))) <=> ((~m_processor_v_waiting(c_p0, s6)) | m_processor_v_waiting(c_p0, s7) | (~node52(c_p0, s6, s7)))),
% 51.49/34.12 inference(rewrite,[status(thm)],[])).
% 51.49/34.12 tff(32605,plain,
% 51.49/34.12 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s7) | (~m_processor_v_waiting(c_p0, s6)) | (~node52(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s6)) | m_processor_v_waiting(c_p0, s7) | (~node52(c_p0, s6, s7))))),
% 51.49/34.12 inference(monotonicity,[status(thm)],[32604])).
% 51.49/34.12 tff(32606,plain,
% 51.49/34.12 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s7) | (~m_processor_v_waiting(c_p0, s6)) | (~node52(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s6)) | m_processor_v_waiting(c_p0, s7) | (~node52(c_p0, s6, s7)))),
% 51.49/34.12 inference(transitivity,[status(thm)],[32605, 32603])).
% 51.49/34.12 tff(32607,plain,
% 51.49/34.12 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s7) | (~m_processor_v_waiting(c_p0, s6)) | (~node52(c_p0, s6, s7)))),
% 51.49/34.12 inference(quant_inst,[status(thm)],[])).
% 51.49/34.12 tff(32608,plain,
% 51.49/34.12 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node52(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s6)) | m_processor_v_waiting(c_p0, s7) | (~node52(c_p0, s6, s7))),
% 51.49/34.12 inference(modus_ponens,[status(thm)],[32607, 32606])).
% 51.49/34.12 tff(32609,plain,
% 51.49/34.12 ($false),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[32608, 10820, 2541, 25075, 25193])).
% 51.49/34.12 tff(32610,plain,((~node52(c_p0, s6, s7)) | m_processor_v_waiting(c_p0, s7) | (~m_processor_v_waiting(c_p0, s6))), inference(lemma,lemma(discharge,[]))).
% 51.49/34.12 tff(32611,plain,
% 51.49/34.12 (~node52(c_p0, s6, s7)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[32610, 2541, 25075])).
% 51.49/34.12 tff(32612,assumption,(node46(c_p0, s6, s7)), introduced(assumption)).
% 51.49/34.12 tff(32613,plain,
% 51.49/34.12 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s6)) | m_processor_v_waiting(c_p0, s7) | (~node46(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s6)) | m_processor_v_waiting(c_p0, s7) | (~node46(c_p0, s6, s7)))),
% 51.49/34.12 inference(rewrite,[status(thm)],[])).
% 51.49/34.12 tff(32614,plain,
% 51.49/34.12 ((m_processor_v_waiting(c_p0, s7) | (~m_processor_v_waiting(c_p0, s6)) | (~node46(c_p0, s6, s7))) <=> ((~m_processor_v_waiting(c_p0, s6)) | m_processor_v_waiting(c_p0, s7) | (~node46(c_p0, s6, s7)))),
% 51.49/34.12 inference(rewrite,[status(thm)],[])).
% 51.49/34.12 tff(32615,plain,
% 51.49/34.12 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s7) | (~m_processor_v_waiting(c_p0, s6)) | (~node46(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | ((~m_processor_v_waiting(c_p0, s6)) | m_processor_v_waiting(c_p0, s7) | (~node46(c_p0, s6, s7))))),
% 51.49/34.12 inference(monotonicity,[status(thm)],[32614])).
% 51.49/34.12 tff(32616,plain,
% 51.49/34.12 (((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s7) | (~m_processor_v_waiting(c_p0, s6)) | (~node46(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s6)) | m_processor_v_waiting(c_p0, s7) | (~node46(c_p0, s6, s7)))),
% 51.49/34.12 inference(transitivity,[status(thm)],[32615, 32613])).
% 51.49/34.12 tff(32617,plain,
% 51.49/34.12 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (m_processor_v_waiting(c_p0, s7) | (~m_processor_v_waiting(c_p0, s6)) | (~node46(c_p0, s6, s7)))),
% 51.49/34.12 inference(quant_inst,[status(thm)],[])).
% 51.49/34.12 tff(32618,plain,
% 51.49/34.12 ((~![Y: $i, I0: $i, X: $i] : (m_processor_v_waiting(I0, Y) | (~m_processor_v_waiting(I0, X)) | (~node46(I0, X, Y)))) | (~m_processor_v_waiting(c_p0, s6)) | m_processor_v_waiting(c_p0, s7) | (~node46(c_p0, s6, s7))),
% 51.49/34.12 inference(modus_ponens,[status(thm)],[32617, 32616])).
% 51.49/34.12 tff(32619,plain,
% 51.49/34.12 ($false),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[32618, 11708, 2541, 25075, 32612])).
% 51.49/34.12 tff(32620,plain,((~node46(c_p0, s6, s7)) | m_processor_v_waiting(c_p0, s7) | (~m_processor_v_waiting(c_p0, s6))), inference(lemma,lemma(discharge,[]))).
% 51.49/34.12 tff(32621,plain,
% 51.49/34.12 (~node46(c_p0, s6, s7)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[32620, 2541, 25075])).
% 51.49/34.12 tff(32622,plain,
% 51.49/34.12 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s6)) | (~node53(c_p0, s6, s7)) | node46(c_p0, s6, s7))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s6)) | (~node53(c_p0, s6, s7)) | node46(c_p0, s6, s7))),
% 51.49/34.12 inference(rewrite,[status(thm)],[])).
% 51.49/34.12 tff(32623,plain,
% 51.49/34.12 (((~m_processor_v_abort(c_p0, s6)) | node46(c_p0, s6, s7) | (~node53(c_p0, s6, s7))) <=> ((~m_processor_v_abort(c_p0, s6)) | (~node53(c_p0, s6, s7)) | node46(c_p0, s6, s7))),
% 51.49/34.12 inference(rewrite,[status(thm)],[])).
% 51.49/34.12 tff(32624,plain,
% 51.49/34.12 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s6)) | node46(c_p0, s6, s7) | (~node53(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s6)) | (~node53(c_p0, s6, s7)) | node46(c_p0, s6, s7)))),
% 51.49/34.12 inference(monotonicity,[status(thm)],[32623])).
% 51.49/34.12 tff(32625,plain,
% 51.49/34.12 (((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s6)) | node46(c_p0, s6, s7) | (~node53(c_p0, s6, s7)))) <=> ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s6)) | (~node53(c_p0, s6, s7)) | node46(c_p0, s6, s7))),
% 51.49/34.12 inference(transitivity,[status(thm)],[32624, 32622])).
% 51.49/34.12 tff(32626,plain,
% 51.49/34.12 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | ((~m_processor_v_abort(c_p0, s6)) | node46(c_p0, s6, s7) | (~node53(c_p0, s6, s7)))),
% 51.49/34.12 inference(quant_inst,[status(thm)],[])).
% 51.49/34.12 tff(32627,plain,
% 51.49/34.12 ((~![Y: $i, I0: $i, X: $i] : ((~m_processor_v_abort(I0, X)) | node46(I0, X, Y) | (~node53(I0, X, Y)))) | (~m_processor_v_abort(c_p0, s6)) | (~node53(c_p0, s6, s7)) | node46(c_p0, s6, s7)),
% 51.49/34.12 inference(modus_ponens,[status(thm)],[32626, 32625])).
% 51.49/34.12 tff(32628,plain,
% 51.49/34.12 ((~m_processor_v_abort(c_p0, s6)) | node46(c_p0, s6, s7)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[32627, 11690, 2549])).
% 51.49/34.12 tff(32629,plain,
% 51.49/34.12 (~m_processor_v_abort(c_p0, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[32628, 32621])).
% 51.49/34.12 tff(32630,plain,
% 51.49/34.12 (m_processor_v_reply_h_waiting(c_p0, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[26640, 2318, 25075])).
% 51.49/34.12 tff(32631,plain,
% 51.49/34.12 (~node6(s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[26630, 32630])).
% 51.49/34.12 tff(32632,plain,
% 51.49/34.12 (m_main_v_REPLY_h_WAITING(s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[14184, 32631])).
% 51.49/34.12 tff(32633,plain,
% 51.49/34.12 (m_processor_v_REPLY_h_WAITING(c_p0, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[14192, 32632])).
% 51.49/34.12 tff(32634,plain,
% 51.49/34.12 (node59(c_p0, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[14382, 32633, 18409])).
% 51.49/34.12 tff(32635,plain,
% 51.49/34.12 (~m_processor_v_CMD(c_p0, s6, c_read_h_owned)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[14401, 32634])).
% 51.49/34.12 tff(32636,plain,
% 51.49/34.12 (~node48(c_p0, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[25099, 32635])).
% 51.49/34.12 tff(32637,plain,
% 51.49/34.12 (m_processor_v_cmd(c_p0, s6, c_idle)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[18577, 2318])).
% 51.49/34.12 tff(32638,plain,
% 51.49/34.12 (m_main_v_CMD(s6, c_idle)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[18668, 32637, 14207, 18317])).
% 51.49/34.12 tff(32639,plain,
% 51.49/34.12 (~m_main_v_CMD(s6, c_response)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[18672, 10097, 32638])).
% 51.49/34.12 tff(32640,plain,
% 51.49/34.12 (~m_processor_v_CMD(c_p0, s6, c_response)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[25154, 32639])).
% 51.49/34.12 tff(32641,plain,
% 51.49/34.12 (~node49(c_p0, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[25165, 32640])).
% 51.49/34.12 tff(32642,plain,
% 51.49/34.12 (~node47(c_p0, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[25171, 12108, 2318])).
% 51.49/34.12 tff(32643,assumption,(~node52(c_p0, s6, s7)), introduced(assumption)).
% 51.49/34.12 tff(32644,plain,
% 51.49/34.12 (~m_main_v_CMD(s6, c_write_h_resp_h_shared)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[18680, 7650, 32638])).
% 51.49/34.12 tff(32645,plain,
% 51.49/34.12 (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_shared)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[25176, 1612, 14355, 32644])).
% 51.49/34.12 tff(32646,plain,
% 51.49/34.12 (~node51(c_p0, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[25183, 32645])).
% 51.49/34.12 tff(32647,plain,
% 51.49/34.12 (~m_main_v_CMD(s6, c_write_h_resp_h_invalid)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[18702, 7663, 32638])).
% 51.49/34.12 tff(32648,plain,
% 51.49/34.12 (~m_processor_v_CMD(c_p0, s6, c_write_h_resp_h_invalid)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[25138, 1612, 14355, 32647])).
% 51.49/34.12 tff(32649,plain,
% 51.49/34.12 (~node50(c_p0, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[25145, 32648])).
% 51.49/34.12 tff(32650,plain,
% 51.49/34.12 ($false),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[25191, 32649, 32646, 32643, 14200, 32642, 32641, 32636])).
% 51.49/34.12 tff(32651,plain,(m_processor_v_master(c_p0, s6) | node52(c_p0, s6, s7) | m_processor_v_abort(c_p0, s6) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | (~m_processor_v_waiting(c_p0, s6))), inference(lemma,lemma(discharge,[]))).
% 51.49/34.12 tff(32652,plain,
% 51.49/34.12 (m_processor_v_master(c_p0, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[32651, 32629, 25075, 14207, 18317, 32611])).
% 51.49/34.12 tff(32653,plain,
% 51.49/34.12 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | ((~m_processor_v_master(c_p0, s6)) | (~node49(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | (~m_processor_v_master(c_p0, s6)) | (~node49(c_p0, s6)))),
% 51.49/34.12 inference(rewrite,[status(thm)],[])).
% 51.49/34.12 tff(32654,plain,
% 51.49/34.12 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | ((~m_processor_v_master(c_p0, s6)) | (~node49(c_p0, s6)))),
% 51.49/34.12 inference(quant_inst,[status(thm)],[])).
% 51.49/34.12 tff(32655,plain,
% 51.49/34.12 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node49(I0, X)))) | (~m_processor_v_master(c_p0, s6)) | (~node49(c_p0, s6))),
% 51.49/34.12 inference(modus_ponens,[status(thm)],[32654, 32653])).
% 51.49/34.12 tff(32656,plain,
% 51.49/34.12 (~node49(c_p0, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[32655, 16755, 32652])).
% 51.49/34.12 tff(32657,plain,
% 51.49/34.12 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | ((~m_processor_v_master(c_p0, s6)) | (~node51(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | (~m_processor_v_master(c_p0, s6)) | (~node51(c_p0, s6)))),
% 51.49/34.12 inference(rewrite,[status(thm)],[])).
% 51.49/34.12 tff(32658,plain,
% 51.49/34.12 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | ((~m_processor_v_master(c_p0, s6)) | (~node51(c_p0, s6)))),
% 51.49/34.12 inference(quant_inst,[status(thm)],[])).
% 51.49/34.12 tff(32659,plain,
% 51.49/34.12 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node51(I0, X)))) | (~m_processor_v_master(c_p0, s6)) | (~node51(c_p0, s6))),
% 51.49/34.12 inference(modus_ponens,[status(thm)],[32658, 32657])).
% 51.49/34.12 tff(32660,plain,
% 51.49/34.12 (~node51(c_p0, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[32659, 16894, 32652])).
% 51.49/34.12 tff(32661,plain,
% 51.49/34.12 (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[2564, 32652, 2541, 32629])).
% 51.49/34.12 tff(32662,plain,
% 51.49/34.12 (~node47(c_p0, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[2568, 657, 32661])).
% 51.49/34.12 tff(32663,plain,
% 51.49/34.12 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | ((~m_processor_v_master(c_p0, s6)) | (~node50(c_p0, s6)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | (~m_processor_v_master(c_p0, s6)) | (~node50(c_p0, s6)))),
% 51.49/34.12 inference(rewrite,[status(thm)],[])).
% 51.49/34.12 tff(32664,plain,
% 51.49/34.12 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | ((~m_processor_v_master(c_p0, s6)) | (~node50(c_p0, s6)))),
% 51.49/34.12 inference(quant_inst,[status(thm)],[])).
% 51.49/34.12 tff(32665,plain,
% 51.49/34.12 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node50(I0, X)))) | (~m_processor_v_master(c_p0, s6)) | (~node50(c_p0, s6))),
% 51.49/34.12 inference(modus_ponens,[status(thm)],[32664, 32663])).
% 51.49/34.12 tff(32666,plain,
% 51.49/34.12 (~node50(c_p0, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[32665, 16866, 32652])).
% 51.49/34.12 tff(32667,plain,
% 51.49/34.12 (node48(c_p0, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[25191, 32666, 32611, 32629, 32662, 32660, 32656])).
% 51.49/34.12 tff(32668,plain,
% 51.49/34.12 (~m_processor_v_CMD(c_p0, s6, c_read_h_owned)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[2556, 32662, 32652, 32629, 2541])).
% 51.49/34.12 tff(32669,plain,
% 51.49/34.12 ($false),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[25099, 32668, 32667])).
% 51.49/34.12 tff(32670,plain,(m_processor_v_waiting(c_p0, s7) | (~m_processor_v_waiting(c_p0, s6)) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.49/34.12 tff(32671,plain,
% 51.49/34.12 (m_processor_v_waiting(c_p0, s7)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[32670, 32602, 14207, 18317])).
% 51.49/34.12 tff(32672,plain,
% 51.49/34.12 (~node56(c_p0, s5)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[19314, 799])).
% 51.49/34.12 tff(32673,plain,
% 51.49/34.12 (~m_processor_v_writable(c_p0, s5)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[19304, 32672])).
% 51.49/34.12 tff(32674,plain,
% 51.49/34.12 (~node67(s5)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[19296, 32673])).
% 51.49/34.12 tff(32675,plain,
% 51.49/34.12 (node67(s8)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[6554, 32674, 5949, 5667, 5670, 5668])).
% 51.49/34.12 tff(32676,plain,
% 51.49/34.12 (m_processor_v_writable(c_p0, s8)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[12500, 32675])).
% 51.49/34.12 tff(32677,plain,
% 51.49/34.12 (node56(c_p0, s8)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[12508, 32676])).
% 51.49/34.12 tff(32678,plain,
% 51.49/34.12 (~m_processor_v_waiting(c_p0, s8)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[14420, 32677])).
% 51.49/34.12 tff(32679,plain,
% 51.49/34.12 (~node56(c_p0, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[31394, 25075])).
% 51.49/34.12 tff(32680,plain,
% 51.49/34.12 (~m_processor_v_writable(c_p0, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[33, 32679])).
% 51.49/34.12 tff(32681,plain,
% 51.49/34.12 (~node67(s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[51, 32680])).
% 51.49/34.12 tff(32682,plain,
% 51.49/34.12 (m_processor_v_state(c_p1, s5, c_owned)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[25735, 55, 5949])).
% 51.49/34.12 tff(32683,plain,
% 51.49/34.12 (m_processor_v_waiting(c_p0, s7)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[32670, 25075, 14207, 18317])).
% 51.49/34.12 tff(32684,plain,
% 51.49/34.12 (~node56(c_p0, s7)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[2574, 540, 32683])).
% 51.49/34.12 tff(32685,plain,
% 51.49/34.12 (~m_processor_v_writable(c_p0, s7)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[2584, 32684])).
% 51.49/34.12 tff(32686,plain,
% 51.49/34.12 (~node67(s7)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[2592, 32685])).
% 51.49/34.12 tff(32687,plain,
% 51.49/34.12 (m_processor_v_state(c_p1, s8, c_owned)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[31353, 32686, 5949, 32682, 32681])).
% 51.49/34.12 tff(32688,plain,
% 51.49/34.12 (~m_processor_v_state(c_p1, s8, c_invalid)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[13056, 32687])).
% 51.49/34.12 tff(32689,plain,
% 51.49/34.12 (node67(s8)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[6554, 32686, 5949, 5670, 5669, 32681])).
% 51.49/34.12 tff(32690,plain,
% 51.49/34.12 (m_processor_v_writable(c_p0, s8)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[12500, 32689])).
% 51.49/34.12 tff(32691,plain,
% 51.49/34.12 (node56(c_p0, s8)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[12508, 32690])).
% 51.49/34.12 tff(32692,plain,
% 51.49/34.12 (~m_processor_v_waiting(c_p0, s8)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[14420, 32691])).
% 51.49/34.12 tff(32693,plain,
% 51.49/34.12 (node60(c_p1, s7)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[24175, 24006])).
% 51.49/34.12 tff(32694,plain,
% 51.49/34.12 (~m_processor_v_abort(c_p0, s7)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[25814, 32693])).
% 51.49/34.12 tff(32695,plain,
% 51.49/34.12 (~m_processor_v_cmd(c_p1, s7, c_idle)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[23935, 29952, 13267, 23598, 23623, 32694, 23609])).
% 51.49/34.12 tff(32696,plain,
% 51.49/34.12 (m_processor_v_master(c_p1, s7)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[14619, 32695])).
% 51.49/34.12 tff(32697,plain,
% 51.49/34.12 (m_processor_v_CMD(c_p1, s7, c_read_h_owned)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[24156, 32696, 6397, 6360, 23941, 23598, 13435, 24006])).
% 51.49/34.12 tff(32698,plain,
% 51.49/34.12 (m_processor_v_reply_h_waiting(c_p0, s7)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[24177, 23441])).
% 51.49/34.12 tff(32699,plain,
% 51.49/34.12 (~node6(s7)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[23473, 32698])).
% 51.49/34.12 tff(32700,plain,
% 51.49/34.12 (m_main_v_REPLY_h_WAITING(s7)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[23481, 32699])).
% 51.49/34.12 tff(32701,plain,
% 51.49/34.12 (m_processor_v_REPLY_h_WAITING(c_p1, s7)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[24185, 32700])).
% 51.49/34.12 tff(32702,plain,
% 51.49/34.12 (node59(c_p1, s7)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[24196, 32701, 32693])).
% 51.49/34.12 tff(32703,plain,
% 51.49/34.12 ($false),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[24203, 32702, 32697])).
% 51.49/34.12 tff(32704,plain,((~m_processor_v_waiting(c_p0, s7)) | m_processor_v_state(c_p1, s8, c_invalid) | m_processor_v_state(c_p1, s8, c_shared) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_abort(c_p1, s7) | (~m_memory_v_cmd(c_m, s7, c_idle)) | m_processor_v_waiting(c_p0, s8) | m_processor_v_master(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 51.49/34.12 tff(32705,plain,
% 51.49/34.12 (m_processor_v_state(c_p1, s8, c_shared)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[32704, 32692, 32683, 13435, 24006, 13267, 32688, 55])).
% 51.49/34.12 tff(32706,plain,
% 51.49/34.12 ($false),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[13150, 121, 32705, 32687])).
% 51.49/34.12 tff(32707,plain,((~m_processor_v_waiting(c_p0, s6)) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_abort(c_p1, s7) | (~m_memory_v_cmd(c_m, s7, c_idle)) | m_processor_v_master(c_p0, s7) | node67(s9) | node67(s4) | node67(s5) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.49/34.12 tff(32708,plain,
% 51.49/34.12 (m_processor_v_abort(c_p1, s7)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[32707, 32674, 5670, 13267, 55, 5949, 13435, 32602, 14207, 18317])).
% 51.49/34.12 tff(32709,plain,
% 51.49/34.12 (m_processor_v_CMD(c_p1, s7, c_read_h_owned)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[24004, 15424, 23951])).
% 51.49/34.12 tff(32710,plain,
% 51.49/34.12 (m_main_v_CMD(s7, c_read_h_owned)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[23577, 32709])).
% 51.49/34.12 tff(32711,plain,
% 51.49/34.12 (node59(c_p0, s7)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[23984, 15424, 23951])).
% 51.49/34.12 tff(32712,plain,
% 51.49/34.12 (~m_processor_v_CMD(c_p0, s7, c_read_h_owned)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[24382, 32711])).
% 51.49/34.12 tff(32713,plain,
% 51.49/34.12 ($false),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[14680, 32712, 32710])).
% 51.49/34.12 tff(32714,plain,((~node60(c_p0, s7)) | (~m_processor_v_abort(c_p1, s7))), inference(lemma,lemma(discharge,[]))).
% 51.49/34.12 tff(32715,plain,
% 51.49/34.12 (~node60(c_p0, s7)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[32714, 32708])).
% 51.49/34.12 tff(32716,plain,
% 51.49/34.12 (m_processor_v_abort(c_p0, s7)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[15422, 32715])).
% 51.49/34.12 tff(32717,plain,
% 51.49/34.12 (node46(c_p0, s7, s8)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[23457, 32716])).
% 51.49/34.12 tff(32718,plain,
% 51.49/34.12 ($false),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[23449, 32717, 32678, 32671])).
% 51.49/34.12 tff(32719,plain,(m_processor_v_state(c_p0, s5, c_owned) | node67(s4) | (~m_memory_v_cmd(c_m, s7, c_idle)) | m_processor_v_master(c_p0, s7) | node67(s9) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | node67(s7) | node67(s6)), inference(lemma,lemma(discharge,[]))).
% 51.49/34.12 tff(32720,plain,
% 51.49/34.12 (node67(s7)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[32719, 14207, 32439, 55, 5949, 799, 13267, 32601, 29571, 5668])).
% 51.49/34.12 tff(32721,plain,
% 51.49/34.12 (m_processor_v_writable(c_p0, s7)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[2592, 32720])).
% 51.49/34.12 tff(32722,plain,
% 51.49/34.12 (node56(c_p0, s7)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[2584, 32721])).
% 51.49/34.12 tff(32723,plain,
% 51.49/34.12 (m_processor_v_waiting(c_p0, s7)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[32670, 14207, 32591, 32601])).
% 51.49/34.12 tff(32724,plain,
% 51.49/34.12 ($false),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[2574, 540, 32723, 32722])).
% 51.49/34.12 tff(32725,plain,((~m_processor_v_cmd(c_p1, s6, c_idle)) | m_processor_v_master(c_p0, s7) | node67(s9) | m_processor_v_state(c_p0, s5, c_owned) | (~m_memory_v_cmd(c_m, s7, c_idle)) | node67(s6)), inference(lemma,lemma(discharge,[]))).
% 51.49/34.12 tff(32726,plain,
% 51.49/34.12 (~m_processor_v_cmd(c_p1, s6, c_idle)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[32725, 32599, 5949, 799, 55, 5668])).
% 51.49/34.12 tff(32727,plain,
% 51.49/34.12 (m_processor_v_master(c_p1, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[14156, 32726])).
% 51.49/34.12 tff(32728,plain,
% 51.49/34.12 (~m_processor_v_state(c_p1, s6, c_invalid)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[31425, 5949, 29571, 30121, 31386, 32441, 23598])).
% 51.49/34.12 tff(32729,plain,
% 51.49/34.12 (m_processor_v_reply_h_waiting(c_p0, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[26640, 2318, 32591])).
% 51.49/34.12 tff(32730,plain,
% 51.49/34.12 (~node6(s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[26630, 32729])).
% 51.49/34.12 tff(32731,plain,
% 51.49/34.12 (m_main_v_REPLY_h_WAITING(s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[14184, 32730])).
% 51.49/34.12 tff(32732,plain,
% 51.49/34.12 (m_processor_v_REPLY_h_WAITING(c_p0, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[14192, 32731])).
% 51.49/34.12 tff(32733,plain,
% 51.49/34.12 (~m_processor_v_state(c_p1, s7, c_shared)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[13520, 32439])).
% 51.49/34.12 tff(32734,plain,
% 51.49/34.12 (m_processor_v_state(c_p1, s6, c_owned)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[158, 1, 32728])).
% 51.49/34.12 tff(32735,plain,
% 51.49/34.12 (~m_main_v_CMD(s6, c_read_h_shared)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[19010, 32727, 32734])).
% 51.49/34.12 tff(32736,plain,
% 51.49/34.12 (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[19016, 32735])).
% 51.49/34.12 tff(32737,plain,
% 51.49/34.12 (node59(c_p0, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[14382, 14374, 14194])).
% 51.49/34.12 tff(32738,plain,
% 51.49/34.12 (~m_processor_v_CMD(c_p0, s6, c_read_h_owned)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[14401, 32737])).
% 51.49/34.12 tff(32739,plain,
% 51.49/34.12 (~m_main_v_CMD(s6, c_read_h_owned)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[14394, 32738])).
% 51.49/34.12 tff(32740,plain,
% 51.49/34.12 (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[25534, 32739])).
% 51.49/34.12 tff(32741,plain,
% 51.49/34.12 (~node34(c_p1, s6, s7)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[25687, 32740, 16313, 13063, 1, 13102, 16290, 143])).
% 51.49/34.12 tff(32742,plain,
% 51.49/34.12 (~node61(c_p1, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[25576, 32740, 18371])).
% 51.49/34.12 tff(32743,plain,
% 51.49/34.12 (~m_processor_v_abort(c_p1, s6)),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[16297, 32742, 16290])).
% 51.49/34.12 tff(32744,plain,
% 51.49/34.12 ($false),
% 51.49/34.12 inference(unit_resolution,[status(thm)],[25524, 32743, 32741, 16313])).
% 51.49/34.12 tff(32745,plain,((~node60(c_p0, s6)) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_state(c_p1, s7, c_shared) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s7, c_invalid) | m_processor_v_state(c_p1, s6, c_invalid) | m_processor_v_CMD(c_p1, s6, c_read_h_shared) | (~m_processor_v_REPLY_h_WAITING(c_p0, s6))), inference(lemma,lemma(discharge,[]))).
% 51.49/34.13 tff(32746,plain,
% 51.49/34.13 (~node60(c_p0, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32745, 32736, 32733, 32732, 32440, 1, 32728, 32727])).
% 51.49/34.13 tff(32747,plain,
% 51.49/34.13 (m_processor_v_abort(c_p0, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[14205, 32746])).
% 51.49/34.13 tff(32748,plain,
% 51.49/34.13 (node46(c_p0, s6, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32628, 32747])).
% 51.49/34.13 tff(32749,plain,
% 51.49/34.13 (m_processor_v_waiting(c_p0, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32620, 32748, 32591])).
% 51.49/34.13 tff(32750,plain,
% 51.49/34.13 (~node56(c_p0, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[2574, 540, 32749])).
% 51.49/34.13 tff(32751,plain,
% 51.49/34.13 (~m_processor_v_writable(c_p0, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[2584, 32750])).
% 51.49/34.13 tff(32752,plain,
% 51.49/34.13 (~node67(s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[2592, 32751])).
% 51.49/34.13 tff(32753,plain,
% 51.49/34.13 (m_processor_v_state(c_p1, s8, c_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[31353, 32752, 5668, 30121, 5949])).
% 51.49/34.13 tff(32754,plain,
% 51.49/34.13 (node67(s8)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[6554, 32752, 29571, 31386, 5949, 5668])).
% 51.49/34.13 tff(32755,plain,
% 51.49/34.13 (m_processor_v_writable(c_p0, s8)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[12500, 32754])).
% 51.49/34.13 tff(32756,plain,
% 51.49/34.13 (node56(c_p0, s8)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[12508, 32755])).
% 51.49/34.13 tff(32757,plain,
% 51.49/34.13 (~m_processor_v_waiting(c_p0, s8)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[14420, 32756])).
% 51.49/34.13 tff(32758,plain,
% 51.49/34.13 (~node46(c_p0, s7, s8)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[23449, 32757, 32749])).
% 51.49/34.13 tff(32759,plain,
% 51.49/34.13 (~m_processor_v_abort(c_p0, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[23457, 32758])).
% 51.49/34.13 tff(32760,plain,
% 51.49/34.13 (node60(c_p0, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[15422, 32759])).
% 51.49/34.13 tff(32761,plain,
% 51.49/34.13 (~m_processor_v_abort(c_p1, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32714, 32760])).
% 51.49/34.13 tff(32762,plain,
% 51.49/34.13 (~m_main_v_CMD(s7, c_read_h_shared)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[29412, 32599, 32439, 23598])).
% 51.49/34.13 tff(32763,plain,
% 51.49/34.13 (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[24002, 32762])).
% 51.49/34.13 tff(32764,plain,
% 51.49/34.13 (~node47(c_p1, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[26174, 32763])).
% 51.49/34.13 tff(32765,plain,
% 51.49/34.13 (m_processor_v_writable(c_p1, s8)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[5697, 32754])).
% 51.49/34.13 tff(32766,plain,
% 51.49/34.13 (node56(c_p1, s8)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[5686, 32765])).
% 51.49/34.13 tff(32767,plain,
% 51.49/34.13 (~m_processor_v_waiting(c_p1, s8)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[13159, 32766])).
% 51.49/34.13 tff(32768,plain,
% 51.49/34.13 (~node52(c_p0, s7, s8)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[23618, 32757, 32749])).
% 51.49/34.13 tff(32769,plain,
% 51.49/34.13 (~m_processor_v_cmd(c_p1, s7, c_idle)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[23935, 32768, 23598, 32599, 32759, 23623, 23609])).
% 51.49/34.13 tff(32770,plain,
% 51.49/34.13 (m_processor_v_master(c_p1, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[14619, 32769])).
% 51.49/34.13 tff(32771,plain,
% 51.49/34.13 (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[13393, 32770, 32767, 32764, 32761])).
% 51.49/34.13 tff(32772,plain,
% 51.49/34.13 (~m_processor_v_state(c_p1, s8, c_invalid)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[13056, 32753])).
% 51.49/34.13 tff(32773,plain,
% 51.49/34.13 (~node63(c_p1, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[23940, 1809, 32733])).
% 51.49/34.13 tff(32774,plain,
% 51.49/34.13 (m_processor_v_state(c_p1, s8, c_shared)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[24156, 32761, 32439, 32773, 32772, 23598, 32770, 32771])).
% 51.49/34.13 tff(32775,plain,
% 51.49/34.13 ($false),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[13150, 121, 32774, 32753])).
% 51.49/34.13 tff(32776,plain,(m_processor_v_master(c_p0, s6) | node67(s6) | node67(s9) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p0, s5, c_owned) | m_processor_v_master(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 51.49/34.13 tff(32777,plain,
% 51.49/34.13 (m_processor_v_master(c_p0, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32776, 799, 5949, 1, 5668, 55])).
% 51.49/34.13 tff(32778,plain,
% 51.49/34.13 (~m_processor_v_master(c_p1, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[16318, 32777])).
% 51.49/34.13 tff(32779,plain,
% 51.49/34.13 (m_processor_v_cmd(c_p1, s6, c_idle)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[14156, 32778])).
% 51.49/34.13 tff(32780,plain,
% 51.49/34.13 (~m_memory_v_cmd(c_m, s7, c_idle)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32725, 32779, 5949, 799, 55, 5668])).
% 51.49/34.13 tff(32781,plain,
% 51.49/34.13 (node29(c_m, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[13225, 32780])).
% 51.49/34.13 tff(32782,plain,
% 51.49/34.13 (m_memory_v_busy(c_m, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[24392, 32781])).
% 51.49/34.13 tff(32783,plain,
% 51.49/34.13 (m_processor_v_reply_h_owned(c_p1, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[24236, 32778, 32734])).
% 51.49/34.13 tff(32784,plain,
% 51.49/34.13 (~node5(s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[24244, 32783])).
% 51.49/34.13 tff(32785,plain,
% 51.49/34.13 (m_main_v_REPLY_h_OWNED(s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[24252, 32784])).
% 51.49/34.13 tff(32786,plain,
% 51.49/34.13 (m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[24260, 32785])).
% 51.49/34.13 tff(32787,plain,
% 51.49/34.13 ($false),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[25438, 32786, 32782, 32590])).
% 51.49/34.13 tff(32788,plain,(m_processor_v_state(c_p0, s5, c_owned) | node67(s9) | m_processor_v_master(c_p0, s7) | node67(s6) | m_processor_v_state(c_p1, s6, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.49/34.13 tff(32789,plain,
% 51.49/34.13 (m_processor_v_state(c_p0, s5, c_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32788, 5668, 55, 5949, 1])).
% 51.49/34.13 tff(32790,plain,
% 51.49/34.13 (m_processor_v_state(c_p0, s4, c_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32463, 2, 32728, 32789, 1])).
% 51.49/34.13 tff(32791,plain,
% 51.49/34.13 (m_processor_v_waiting(c_p1, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32179, 32790, 32448, 32447, 32728, 1, 2, 32789])).
% 51.49/34.13 tff(32792,plain,
% 51.49/34.13 (~node56(c_p1, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[545, 32791])).
% 51.49/34.13 tff(32793,plain,
% 51.49/34.13 (~m_processor_v_writable(c_p1, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[672, 32792])).
% 51.49/34.13 tff(32794,plain,
% 51.49/34.13 (~m_processor_v_state(c_p1, s4, c_shared)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19185, 1439, 32155, 31437])).
% 51.49/34.13 tff(32795,plain,
% 51.49/34.13 (~node5(s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[31467, 32794, 30121, 32790])).
% 51.49/34.13 tff(32796,plain,
% 51.49/34.13 (m_main_v_REPLY_h_OWNED(s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[31474, 32795])).
% 51.49/34.13 tff(32797,plain,
% 51.49/34.13 (m_memory_v_REPLY_h_OWNED(c_m, s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[31481, 32796])).
% 51.49/34.13 tff(32798,plain,
% 51.49/34.13 (~m_processor_v_state(c_p1, s3, c_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[29155, 7332, 1752, 32794])).
% 51.49/34.13 tff(32799,plain,
% 51.49/34.13 (m_processor_v_state(c_p0, s3, c_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19497, 32798, 30121, 1752])).
% 51.49/34.13 tff(32800,plain,
% 51.49/34.13 ($false),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[30231, 32799, 32798, 30121, 32794, 7332, 1439])).
% 51.49/34.13 tff(32801,plain,((~m_memory_v_busy(c_m, s4)) | m_processor_v_master(c_p1, s4) | (~m_processor_v_state(c_p0, s4, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.49/34.13 tff(32802,plain,
% 51.49/34.13 (~m_memory_v_busy(c_m, s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32801, 1439, 32790])).
% 51.49/34.13 tff(32803,plain,
% 51.49/34.13 (~m_memory_v_busy(c_m, s5)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[31813, 32802, 32797])).
% 51.49/34.13 tff(32804,plain,
% 51.49/34.13 (~m_memory_v_busy(c_m, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[29393, 32803, 32517])).
% 51.49/34.13 tff(32805,plain,
% 51.49/34.13 (~m_memory_v_busy(c_m, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[25438, 32596, 18288])).
% 51.49/34.13 tff(32806,plain,
% 51.49/34.13 (~node29(c_m, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[24392, 32805])).
% 51.49/34.13 tff(32807,plain,
% 51.49/34.13 (m_memory_v_cmd(c_m, s7, c_idle)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[13225, 32806])).
% 51.49/34.13 tff(32808,plain,
% 51.49/34.13 (~node56(c_p1, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[545, 533])).
% 51.49/34.13 tff(32809,plain,
% 51.49/34.13 (~m_processor_v_writable(c_p1, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[672, 32808])).
% 51.49/34.13 tff(32810,plain,
% 51.49/34.13 (~m_processor_v_waiting(c_p1, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[26121, 29993, 32439, 23598, 13267])).
% 51.49/34.13 tff(32811,plain,
% 51.49/34.13 (~m_processor_v_master(c_p1, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[25475, 32810, 32809, 32440, 32733])).
% 51.49/34.13 tff(32812,plain,
% 51.49/34.13 (m_processor_v_reply_h_waiting(c_p1, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[18133, 32811])).
% 51.49/34.13 tff(32813,plain,
% 51.49/34.13 (~node6(s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[14176, 32812])).
% 51.49/34.13 tff(32814,plain,
% 51.49/34.13 (m_main_v_REPLY_h_WAITING(s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[14184, 32813])).
% 51.49/34.13 tff(32815,plain,
% 51.49/34.13 (m_processor_v_REPLY_h_WAITING(c_p1, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[18192, 32814])).
% 51.49/34.13 tff(32816,plain,
% 51.49/34.13 (~node52(c_p1, s6, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[18307, 32810, 533])).
% 51.49/34.13 tff(32817,plain,
% 51.49/34.13 (~node29(c_m, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[18296, 18288])).
% 51.49/34.13 tff(32818,plain,
% 51.49/34.13 (m_memory_v_cmd(c_m, s6, c_idle)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[14285, 32817])).
% 51.49/34.13 tff(32819,plain,
% 51.49/34.13 (~node46(c_p1, s6, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[29683, 32810, 533])).
% 51.49/34.13 tff(32820,plain,
% 51.49/34.13 (~m_processor_v_abort(c_p1, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[18740, 32819])).
% 51.49/34.13 tff(32821,plain,
% 51.49/34.13 (node60(c_p1, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[18324, 32820])).
% 51.49/34.13 tff(32822,plain,
% 51.49/34.13 (node59(c_p1, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[18335, 32815, 32821])).
% 51.49/34.13 tff(32823,plain,
% 51.49/34.13 (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[18369, 32822])).
% 51.49/34.13 tff(32824,plain,
% 51.49/34.13 (~node47(c_p1, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19020, 32823])).
% 51.49/34.13 tff(32825,plain,
% 51.49/34.13 (m_processor_v_cmd(c_p1, s6, c_idle)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[14156, 32811])).
% 51.49/34.13 tff(32826,plain,
% 51.49/34.13 (m_processor_v_state(c_p1, s6, c_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[13463, 13435, 13405, 1])).
% 51.49/34.13 tff(32827,plain,
% 51.49/34.13 (m_processor_v_reply_h_owned(c_p1, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[24236, 32826, 13405])).
% 51.49/34.13 tff(32828,plain,
% 51.49/34.13 (~node5(s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[24244, 32827])).
% 51.49/34.13 tff(32829,plain,
% 51.49/34.13 (m_main_v_REPLY_h_OWNED(s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[24252, 32828])).
% 51.49/34.13 tff(32830,plain,
% 51.49/34.13 (m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[24260, 32829])).
% 51.49/34.13 tff(32831,plain,
% 51.49/34.13 (~m_memory_v_busy(c_m, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[25438, 18288, 32830])).
% 51.49/34.13 tff(32832,plain,
% 51.49/34.13 (~node29(c_m, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[24392, 32831])).
% 51.49/34.13 tff(32833,plain,
% 51.49/34.13 (m_memory_v_cmd(c_m, s7, c_idle)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[13225, 32832])).
% 51.49/34.13 tff(32834,plain,
% 51.49/34.13 (m_processor_v_waiting(c_p0, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[26669, 799, 785])).
% 51.49/34.13 tff(32835,plain,
% 51.49/34.13 (~node56(c_p0, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[31431, 799])).
% 51.49/34.13 tff(32836,plain,
% 51.49/34.13 (~m_processor_v_writable(c_p0, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[33, 32835])).
% 51.49/34.13 tff(32837,plain,
% 51.49/34.13 (~node67(s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[51, 32836])).
% 51.49/34.13 tff(32838,plain,
% 51.49/34.13 (node67(s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[21257, 32837, 13853, 5932, 5656, 5949])).
% 51.49/34.13 tff(32839,plain,
% 51.49/34.13 (m_processor_v_writable(c_p0, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[2592, 32838])).
% 51.49/34.13 tff(32840,plain,
% 51.49/34.13 (node56(c_p0, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[2584, 32839])).
% 51.49/34.13 tff(32841,plain,
% 51.49/34.13 (~m_processor_v_waiting(c_p0, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[2574, 540, 32840])).
% 51.49/34.13 tff(32842,plain,
% 51.49/34.13 (~node46(c_p0, s6, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32620, 32841, 32834])).
% 51.49/34.13 tff(32843,plain,
% 51.49/34.13 (~m_processor_v_abort(c_p0, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32628, 32842])).
% 51.49/34.13 tff(32844,plain,
% 51.49/34.13 (~node52(c_p0, s6, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32610, 32841, 32834])).
% 51.49/34.13 tff(32845,plain,
% 51.49/34.13 (m_processor_v_master(c_p0, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32651, 32844, 32843, 14207, 18317, 32834])).
% 51.49/34.13 tff(32846,plain,
% 51.49/34.13 (m_processor_v_state(c_p0, s7, c_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[2311, 32840])).
% 51.49/34.13 tff(32847,plain,
% 51.49/34.13 (~m_processor_v_state(c_p0, s7, c_invalid)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[2316, 137, 32846])).
% 51.49/34.13 tff(32848,plain,
% 51.49/34.13 (~m_processor_v_state(c_p0, s7, c_shared)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[2324, 121, 32846])).
% 51.49/34.13 tff(32849,plain,
% 51.49/34.13 (m_processor_v_CMD(c_p0, s6, c_read_h_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[18543, 32845, 785, 32848, 32847, 32841, 32843])).
% 51.49/34.13 tff(32850,plain,
% 51.49/34.13 (node47(c_p0, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[2556, 32849, 32841, 32845, 32843])).
% 51.49/34.13 tff(32851,plain,
% 51.49/34.13 (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[2564, 32845, 32841, 32843])).
% 51.49/34.13 tff(32852,plain,
% 51.49/34.13 ($false),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[2568, 657, 32851, 32850])).
% 51.49/34.13 tff(32853,plain,(m_processor_v_state(c_p0, s5, c_owned) | (~m_processor_v_state(c_p0, s6, c_owned)) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | (~m_processor_v_state(c_p1, s5, c_owned)) | node67(s8) | m_processor_v_state(c_p1, s3, c_owned) | node67(s9)), inference(lemma,lemma(discharge,[]))).
% 51.49/34.13 tff(32854,plain,
% 51.49/34.13 (node67(s8)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32853, 799, 14207, 18317, 32682, 5656, 24976, 5949])).
% 51.49/34.13 tff(32855,plain,
% 51.49/34.13 (m_processor_v_writable(c_p0, s8)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[12500, 32854])).
% 51.49/34.13 tff(32856,plain,
% 51.49/34.13 (node56(c_p0, s8)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[12508, 32855])).
% 51.49/34.13 tff(32857,plain,
% 51.49/34.13 (~m_processor_v_waiting(c_p0, s8)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[14420, 32856])).
% 51.49/34.13 tff(32858,plain,
% 51.49/34.13 (m_processor_v_writable(c_p1, s8)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[5697, 32854])).
% 51.49/34.13 tff(32859,plain,
% 51.49/34.13 (node56(c_p1, s8)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[5686, 32858])).
% 51.49/34.13 tff(32860,plain,
% 51.49/34.13 (m_processor_v_state(c_p1, s8, c_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[5678, 32859])).
% 51.49/34.13 tff(32861,plain,
% 51.49/34.13 (~m_processor_v_state(c_p1, s8, c_shared)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[13150, 121, 32860])).
% 51.49/34.13 tff(32862,plain,
% 51.49/34.13 (~m_processor_v_state(c_p1, s8, c_invalid)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[13056, 32860])).
% 51.49/34.13 tff(32863,plain,
% 51.49/34.13 (~m_processor_v_waiting(c_p0, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32704, 32862, 32861, 13435, 24006, 13267, 32857, 55])).
% 51.49/34.13 tff(32864,plain,
% 51.49/34.13 (~node46(c_p0, s6, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32620, 32863, 32602])).
% 51.49/34.13 tff(32865,plain,
% 51.49/34.13 (m_processor_v_state(c_p0, s8, c_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[14413, 32856])).
% 51.49/34.13 tff(32866,plain,
% 51.49/34.13 (~m_processor_v_state(c_p0, s8, c_invalid)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[14429, 32865])).
% 51.49/34.13 tff(32867,plain,
% 51.49/34.13 (~m_processor_v_state(c_p0, s7, c_invalid)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[14541, 32866, 55])).
% 51.49/34.13 tff(32868,plain,
% 51.49/34.13 (~m_processor_v_state(c_p0, s8, c_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[14501, 14423, 55])).
% 51.49/34.13 tff(32869,plain,
% 51.49/34.13 (~node56(c_p0, s8)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[14413, 32868])).
% 51.49/34.13 tff(32870,plain,
% 51.49/34.13 (~m_processor_v_writable(c_p0, s8)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[12508, 32869])).
% 51.49/34.13 tff(32871,plain,
% 51.49/34.13 (~node67(s8)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[12500, 32870])).
% 51.49/34.13 tff(32872,plain,
% 51.49/34.13 (node67(s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[21246, 32871, 6657, 5668, 5656, 5949, 32682])).
% 51.49/34.13 tff(32873,plain,
% 51.49/34.13 (m_processor_v_writable(c_p0, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[2592, 32872])).
% 51.49/34.13 tff(32874,plain,
% 51.49/34.13 (node56(c_p0, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[2584, 32873])).
% 51.49/34.13 tff(32875,plain,
% 51.49/34.13 (m_processor_v_state(c_p0, s7, c_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[2311, 32874])).
% 51.49/34.13 tff(32876,plain,
% 51.49/34.13 ($false),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[2324, 121, 32875, 14423])).
% 51.49/34.13 tff(32877,plain,((~m_processor_v_state(c_p0, s7, c_shared)) | m_processor_v_state(c_p1, s4, c_shared) | node67(s6) | m_processor_v_state(c_p1, s3, c_owned) | node67(s9) | m_processor_v_master(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 51.49/34.13 tff(32878,plain,
% 51.49/34.13 (~m_processor_v_state(c_p0, s7, c_shared)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32877, 32837, 6657, 5656, 5949, 55])).
% 51.49/34.13 tff(32879,plain,
% 51.49/34.13 (m_processor_v_CMD(c_p0, s6, c_read_h_shared)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[25131, 2326, 2441, 2439, 2358, 785, 25121, 14207])).
% 51.49/34.13 tff(32880,plain,
% 51.49/34.13 (m_main_v_CMD(s6, c_read_h_shared)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[18385, 32879])).
% 51.49/34.13 tff(32881,plain,
% 51.49/34.13 (m_processor_v_CMD(c_p1, s6, c_read_h_shared)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[18379, 32880])).
% 51.49/34.13 tff(32882,plain,
% 51.49/34.13 (~node59(c_p1, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[18369, 32881])).
% 51.49/34.13 tff(32883,plain,
% 51.49/34.13 (~m_processor_v_abort(c_p0, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[25955, 32882, 18327])).
% 51.49/34.13 tff(32884,plain,
% 51.49/34.13 (node34(c_p0, s6, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[2449, 32883, 2441])).
% 51.49/34.13 tff(32885,plain,
% 51.49/34.13 ($false),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[2487, 416, 2326, 32884, 32879])).
% 51.49/34.13 tff(32886,plain,(m_processor_v_state(c_p0, s7, c_shared) | (~m_processor_v_master(c_p0, s6)) | (~node60(c_p1, s6)) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | m_processor_v_state(c_p0, s7, c_invalid) | (~m_processor_v_state(c_p0, s6, c_owned)) | (~m_processor_v_cmd(c_p1, s6, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.49/34.13 tff(32887,plain,
% 51.49/34.13 (m_processor_v_CMD(c_p0, s6, c_read_h_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32886, 2441, 18327, 2326, 2358, 785, 14207])).
% 51.49/34.13 tff(32888,plain,
% 51.49/34.13 (m_main_v_CMD(s6, c_read_h_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[16241, 32887])).
% 51.49/34.13 tff(32889,plain,
% 51.49/34.13 (m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[16254, 32888])).
% 51.49/34.13 tff(32890,plain,
% 51.49/34.13 (~node59(c_p1, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[18342, 32889])).
% 51.49/34.13 tff(32891,plain,
% 51.49/34.13 (~m_processor_v_abort(c_p0, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[25955, 32890, 18327])).
% 51.49/34.13 tff(32892,plain,
% 51.49/34.13 (node47(c_p0, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[2556, 32891, 2541, 2441, 32887])).
% 51.49/34.13 tff(32893,plain,
% 51.49/34.13 (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[2564, 32891, 2541, 2441])).
% 51.49/34.13 tff(32894,plain,
% 51.49/34.13 ($false),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[2568, 657, 32893, 32892])).
% 51.49/34.13 tff(32895,plain,((~m_processor_v_master(c_p0, s6)) | m_processor_v_waiting(c_p0, s7) | (~node60(c_p1, s6)) | m_processor_v_state(c_p0, s7, c_shared) | m_processor_v_state(c_p0, s7, c_invalid) | (~m_processor_v_state(c_p0, s6, c_owned)) | (~m_processor_v_cmd(c_p1, s6, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.49/34.13 tff(32896,plain,
% 51.49/34.13 (~m_processor_v_master(c_p0, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32895, 32863, 18327, 32878, 32867, 24976, 14207])).
% 51.49/34.13 tff(32897,plain,
% 51.49/34.13 (~node52(c_p0, s6, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32610, 32863, 32602])).
% 51.49/34.13 tff(32898,plain,
% 51.49/34.13 (m_processor_v_abort(c_p0, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32651, 32897, 32602, 14207, 18317, 32896])).
% 51.49/34.13 tff(32899,plain,
% 51.49/34.13 ($false),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32628, 32898, 32864])).
% 51.49/34.13 tff(32900,plain,(m_processor_v_state(c_p0, s5, c_owned) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | (~node60(c_p1, s6)) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_abort(c_p1, s7) | (~m_memory_v_cmd(c_m, s7, c_idle)) | m_processor_v_master(c_p0, s7) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s3, c_owned) | node67(s9)), inference(lemma,lemma(discharge,[]))).
% 51.49/34.13 tff(32901,plain,
% 51.49/34.13 (m_processor_v_state(c_p0, s5, c_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32900, 5656, 18317, 18325, 13435, 24006, 13267, 55, 6657, 14157, 5949])).
% 51.49/34.13 tff(32902,plain,
% 51.49/34.13 (~m_processor_v_state(c_p1, s4, c_shared)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19185, 1438, 19134, 19107])).
% 51.49/34.13 tff(32903,plain,
% 51.49/34.13 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[22726, 1518, 13853])).
% 51.49/34.13 tff(32904,plain,
% 51.49/34.13 (m_processor_v_state(c_p1, s4, c_shared)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19245, 6607, 5656, 6713])).
% 51.49/34.13 tff(32905,plain,
% 51.49/34.13 ($false),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[17386, 32904, 6607, 5277])).
% 51.49/34.13 tff(32906,plain,(m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s3, c_shared) | m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_state(c_p1, s4, c_invalid)), inference(lemma,lemma(discharge,[]))).
% 51.49/34.13 tff(32907,plain,
% 51.49/34.13 (m_processor_v_master(c_p1, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32906, 6713, 5656, 5277])).
% 51.49/34.13 tff(32908,plain,
% 51.49/34.13 (~node32(c_p1, s3, s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[6812, 6713, 30167])).
% 51.49/34.13 tff(32909,plain,
% 51.49/34.13 (~m_processor_v_abort(c_p1, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[6640, 32908])).
% 51.49/34.13 tff(32910,plain,
% 51.49/34.13 (node34(c_p1, s3, s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[6720, 32909, 32907])).
% 51.49/34.13 tff(32911,plain,
% 51.49/34.13 (m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[6780, 31846, 6713, 6657, 32910])).
% 51.49/34.13 tff(32912,plain,
% 51.49/34.13 (~node59(c_p1, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[11907, 707, 32911])).
% 51.49/34.13 tff(32913,plain,
% 51.49/34.13 (node60(c_p1, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[11801, 693, 32909])).
% 51.49/34.13 tff(32914,plain,
% 51.49/34.13 ((~m_processor_v_REPLY_h_WAITING(c_p1, s3)) | node59(c_p1, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[11842, 724, 32913])).
% 51.49/34.13 tff(32915,plain,
% 51.49/34.13 (~m_processor_v_REPLY_h_WAITING(c_p1, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32914, 32912])).
% 51.49/34.13 tff(32916,plain,
% 51.49/34.13 (~m_processor_v_REPLY_h_STALL(c_p1, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[11813, 1363, 32913])).
% 51.49/34.13 tff(32917,plain,
% 51.49/34.13 (~m_main_v_REPLY_h_STALL(s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[11820, 32916])).
% 51.49/34.13 tff(32918,plain,
% 51.49/34.13 (~m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[11826, 32917])).
% 51.49/34.13 tff(32919,plain,
% 51.49/34.13 (~m_processor_v_master(c_p0, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[9444, 794, 32907])).
% 51.49/34.13 tff(32920,plain,
% 51.49/34.13 (~m_processor_v_state(c_p0, s3, c_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[16514, 32919, 54])).
% 51.49/34.13 tff(32921,plain,
% 51.49/34.13 (m_processor_v_state(c_p0, s3, c_shared)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[9438, 32919, 32920, 1095])).
% 51.49/34.13 tff(32922,plain,
% 51.49/34.13 (m_main_v_CMD(s3, c_read_h_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[10702, 1260, 10577, 32911])).
% 51.49/34.13 tff(32923,plain,
% 51.49/34.13 (m_processor_v_CMD(c_p0, s3, c_read_h_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[9651, 1228, 32922, 9538])).
% 51.49/34.13 tff(32924,plain,
% 51.49/34.13 (~node35(c_p0, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[9696, 316, 32923])).
% 51.49/34.13 tff(32925,plain,
% 51.49/34.13 (m_processor_v_abort(c_p0, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[9685, 32924, 1095, 32919, 32921])).
% 51.49/34.13 tff(32926,plain,
% 51.49/34.13 (node61(c_p0, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[11873, 1417, 32925, 32918])).
% 51.49/34.13 tff(32927,plain,
% 51.49/34.13 (m_processor_v_REPLY_h_WAITING(c_p0, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[11867, 32926])).
% 51.49/34.13 tff(32928,plain,
% 51.49/34.13 (m_main_v_REPLY_h_WAITING(s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[11859, 32927])).
% 51.49/34.13 tff(32929,plain,
% 51.49/34.13 ($false),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[11849, 745, 32928, 32915])).
% 51.49/34.13 tff(32930,plain,(m_processor_v_state(c_p1, s4, c_invalid) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_state(c_p0, s4, c_owned) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_state(c_p1, s3, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.49/34.13 tff(32931,plain,
% 51.49/34.13 (m_processor_v_state(c_p1, s3, c_shared)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32930, 5656, 6713, 6657, 1095, 54])).
% 51.49/34.13 tff(32932,plain,
% 51.49/34.13 (~node32(c_p1, s3, s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[6667, 32931, 6657])).
% 51.49/34.13 tff(32933,plain,
% 51.49/34.13 (~m_processor_v_abort(c_p1, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[6640, 32932])).
% 51.49/34.13 tff(32934,plain,
% 51.49/34.13 (node60(c_p1, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[11801, 693, 32933])).
% 51.49/34.13 tff(32935,plain,
% 51.49/34.13 (~m_processor_v_REPLY_h_STALL(c_p1, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[11813, 1363, 32934])).
% 51.49/34.13 tff(32936,plain,
% 51.49/34.13 (~m_main_v_REPLY_h_STALL(s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[11820, 32935])).
% 51.49/34.13 tff(32937,plain,
% 51.49/34.13 (~m_processor_v_REPLY_h_STALL(c_p0, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[11826, 32936])).
% 51.49/34.13 tff(32938,plain,
% 51.49/34.13 (m_processor_v_master(c_p1, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19245, 5656, 6713, 6657])).
% 51.49/34.13 tff(32939,plain,
% 51.49/34.13 (node34(c_p1, s3, s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[6720, 32933, 32938])).
% 51.49/34.13 tff(32940,plain,
% 51.49/34.13 (((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared) | (~node33(c_p1, s3, s4)))) <=> ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared) | (~node33(c_p1, s3, s4)))),
% 51.49/34.13 inference(rewrite,[status(thm)],[])).
% 51.49/34.13 tff(32941,plain,
% 51.49/34.13 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | ((~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared) | (~node33(c_p1, s3, s4)))),
% 51.49/34.13 inference(quant_inst,[status(thm)],[])).
% 51.49/34.13 tff(32942,plain,
% 51.49/34.13 ((~![V: $i, Y: $i, I0: $i, X: $i] : ((~m_processor_v_state(I0, X, V)) | m_processor_v_state(I0, Y, V) | (~node33(I0, X, Y)))) | (~m_processor_v_state(c_p1, s3, c_shared)) | m_processor_v_state(c_p1, s4, c_shared) | (~node33(c_p1, s3, s4))),
% 51.49/34.13 inference(modus_ponens,[status(thm)],[32941, 32940])).
% 51.49/34.13 tff(32943,plain,
% 51.49/34.13 (~node33(c_p1, s3, s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32942, 399, 32931, 6657])).
% 51.49/34.13 tff(32944,plain,
% 51.49/34.13 (m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[6780, 32943, 6657, 6713, 32939])).
% 51.49/34.13 tff(32945,plain,
% 51.49/34.13 (~node59(c_p1, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[11907, 707, 32944])).
% 51.49/34.13 tff(32946,plain,
% 51.49/34.13 (~m_processor_v_REPLY_h_WAITING(c_p1, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[11842, 724, 32934, 32945])).
% 51.49/34.13 tff(32947,plain,
% 51.49/34.13 (~m_main_v_REPLY_h_WAITING(s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[11851, 32946])).
% 51.49/34.13 tff(32948,plain,
% 51.49/34.13 (~m_processor_v_REPLY_h_WAITING(c_p0, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[11859, 32947])).
% 51.49/34.13 tff(32949,plain,
% 51.49/34.13 (~node61(c_p0, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[11867, 32948])).
% 51.49/34.13 tff(32950,plain,
% 51.49/34.13 (~m_processor_v_master(c_p0, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[9444, 794, 32938])).
% 51.49/34.13 tff(32951,plain,
% 51.49/34.13 (~m_processor_v_state(c_p0, s3, c_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[16514, 32950, 54])).
% 51.49/34.13 tff(32952,plain,
% 51.49/34.13 (m_processor_v_state(c_p0, s3, c_shared)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[9438, 32950, 1095, 32951])).
% 51.49/34.13 tff(32953,plain,
% 51.49/34.13 (m_main_v_CMD(s3, c_read_h_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[10702, 1260, 10577, 32944])).
% 51.49/34.13 tff(32954,plain,
% 51.49/34.13 (m_processor_v_CMD(c_p0, s3, c_read_h_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[9651, 1228, 32953, 9538])).
% 51.49/34.13 tff(32955,plain,
% 51.49/34.13 (~node35(c_p0, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[9696, 316, 32954])).
% 51.49/34.13 tff(32956,plain,
% 51.49/34.13 (m_processor_v_abort(c_p0, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[9685, 32955, 1095, 32950, 32952])).
% 51.49/34.13 tff(32957,plain,
% 51.49/34.13 ($false),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[11873, 1417, 32956, 32949, 32937])).
% 51.49/34.13 tff(32958,plain,(m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_state(c_p0, s4, c_invalid) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s4, c_invalid) | m_processor_v_state(c_p0, s4, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.49/34.13 tff(32959,plain,
% 51.49/34.13 (m_processor_v_state(c_p0, s4, c_invalid)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32958, 32903, 5656, 54, 32902])).
% 51.49/34.13 tff(32960,plain,
% 51.49/34.13 (m_processor_v_CMD(c_p0, s4, c_read_h_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[21372, 32959, 1073, 1060, 54])).
% 51.49/34.13 tff(32961,plain,
% 51.49/34.13 (~node59(c_p0, s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19327, 707, 32960])).
% 51.49/34.13 tff(32962,plain,
% 51.49/34.13 (~m_processor_v_REPLY_h_WAITING(c_p0, s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19334, 724, 32961, 1354])).
% 51.49/34.13 tff(32963,plain,
% 51.49/34.13 (~m_main_v_REPLY_h_WAITING(s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19340, 32962])).
% 51.49/34.13 tff(32964,plain,
% 51.49/34.13 (m_processor_v_state(c_p1, s4, c_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19131, 32902, 13853, 1438])).
% 51.49/34.13 tff(32965,plain,
% 51.49/34.13 (m_processor_v_waiting(c_p1, s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[10617, 10614, 32964, 13508])).
% 51.49/34.13 tff(32966,plain,
% 51.49/34.13 ((~m_processor_v_waiting(c_p1, s4)) | m_processor_v_reply_h_waiting(c_p1, s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19363, 2296, 1438])).
% 51.49/34.13 tff(32967,plain,
% 51.49/34.13 (m_processor_v_reply_h_waiting(c_p1, s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32966, 32965])).
% 51.49/34.13 tff(32968,plain,
% 51.49/34.13 (~node6(s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19355, 32967])).
% 51.49/34.13 tff(32969,plain,
% 51.49/34.13 ($false),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19347, 32968, 32963])).
% 51.49/34.13 tff(32970,plain,(m_processor_v_state(c_p0, s4, c_owned) | (~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_state(c_p1, s3, c_owned) | (~m_processor_v_state(c_p1, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.49/34.13 tff(32971,plain,
% 51.49/34.13 (m_processor_v_state(c_p0, s4, c_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32970, 5656, 32901, 32682])).
% 51.49/34.13 tff(32972,plain,
% 51.49/34.13 (m_processor_v_state(c_p0, s3, c_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19497, 32971, 32682, 5656])).
% 51.49/34.13 tff(32973,plain,
% 51.49/34.13 (~node5(s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[31467, 32971, 32682, 6657])).
% 51.49/34.13 tff(32974,plain,
% 51.49/34.13 (m_main_v_REPLY_h_OWNED(s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[31474, 32973])).
% 51.49/34.13 tff(32975,plain,
% 51.49/34.13 (m_memory_v_REPLY_h_OWNED(c_m, s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[31481, 32974])).
% 51.49/34.13 tff(32976,plain,
% 51.49/34.13 (~m_processor_v_state(c_p1, s5, c_shared)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19106, 32682])).
% 51.49/34.13 tff(32977,plain,
% 51.49/34.13 (~m_processor_v_state(c_p1, s5, c_invalid)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[13858, 32682])).
% 51.49/34.13 tff(32978,plain,
% 51.49/34.13 (~m_processor_v_state(c_p1, s4, c_shared)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[30149, 19191, 32977, 32976])).
% 51.49/34.13 tff(32979,plain,
% 51.49/34.13 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[30161, 32978, 19191, 32682])).
% 51.49/34.13 tff(32980,plain,
% 51.49/34.13 (m_processor_v_master(c_p1, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19289, 5656, 32682, 19191])).
% 51.49/34.13 tff(32981,plain,
% 51.49/34.13 (node34(c_p1, s3, s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[30174, 32980, 32978, 5656, 32979])).
% 51.49/34.13 tff(32982,plain,
% 51.49/34.13 (m_processor_v_state(c_p1, s4, c_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[6848, 32979, 32978])).
% 51.49/34.13 tff(32983,plain,
% 51.49/34.13 (~node33(c_p1, s3, s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[6595, 830, 32982, 5656])).
% 51.49/34.13 tff(32984,plain,
% 51.49/34.13 (m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[6780, 32983, 32978, 32979, 32981])).
% 51.49/34.13 tff(32985,plain,
% 51.49/34.13 (m_main_v_CMD(s3, c_read_h_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[12458, 32984])).
% 51.49/34.13 tff(32986,plain,
% 51.49/34.13 (m_memory_v_CMD(c_m, s3, c_read_h_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[10550, 4207, 32985, 10083])).
% 51.49/34.13 tff(32987,plain,
% 51.49/34.13 (~node30(c_m, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[10554, 5042, 32986])).
% 51.49/34.13 tff(32988,plain,
% 51.49/34.13 (~node25(c_m, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19740, 9959, 32986])).
% 51.49/34.13 tff(32989,plain,
% 51.49/34.13 (m_processor_v_state(c_p0, s5, c_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32900, 5656, 18317, 18327, 13435, 24006, 13267, 55, 32978, 14207, 5949])).
% 51.49/34.13 tff(32990,plain,
% 51.49/34.13 (m_processor_v_state(c_p0, s4, c_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32970, 32989, 5656, 32682])).
% 51.49/34.13 tff(32991,plain,
% 51.49/34.13 (m_processor_v_state(c_p0, s3, c_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19497, 32990, 32682, 5656])).
% 51.49/34.13 tff(32992,plain,
% 51.49/34.13 (~m_processor_v_master(c_p0, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[9444, 794, 32980])).
% 51.49/34.13 tff(32993,plain,
% 51.49/34.13 ((~m_processor_v_state(c_p0, s3, c_owned)) | m_processor_v_reply_h_owned(c_p0, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19684, 10170, 32992])).
% 51.49/34.13 tff(32994,plain,
% 51.49/34.13 (m_processor_v_reply_h_owned(c_p0, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32993, 32991])).
% 51.49/34.13 tff(32995,plain,
% 51.49/34.13 (~node5(s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19689, 10185, 32994])).
% 51.49/34.13 tff(32996,plain,
% 51.49/34.13 (m_main_v_REPLY_h_OWNED(s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19697, 32995])).
% 51.49/34.13 tff(32997,plain,
% 51.49/34.13 (m_memory_v_REPLY_h_OWNED(c_m, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19705, 32996])).
% 51.49/34.13 tff(32998,plain,
% 51.49/34.13 (~node26(c_m, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19749, 32997, 32988])).
% 51.49/34.13 tff(32999,plain,
% 51.49/34.13 (m_memory_v_abort(c_m, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19756, 32998])).
% 51.49/34.13 tff(33000,plain,
% 51.49/34.13 (node18(c_m, s3, s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[9878, 32999])).
% 51.49/34.13 tff(33001,plain,
% 51.49/34.13 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[29106, 32981, 32978])).
% 51.49/34.13 tff(33002,plain,
% 51.49/34.13 (~m_main_v_CMD(s3, c_read_h_shared)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[10585, 33001])).
% 51.49/34.13 tff(33003,plain,
% 51.49/34.13 (~m_processor_v_CMD(c_p0, s3, c_read_h_shared)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[11528, 33002])).
% 51.49/34.13 tff(33004,plain,
% 51.49/34.13 (m_processor_v_waiting(c_p1, s4) | m_processor_v_writable(c_p1, s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[10617, 10614, 32982])).
% 51.49/34.13 tff(33005,plain,
% 51.49/34.13 (m_processor_v_waiting(c_p1, s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[33004, 13508])).
% 51.49/34.13 tff(33006,plain,
% 51.49/34.13 (~node46(c_p1, s4, s5)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19513, 33005, 19191])).
% 51.49/34.13 tff(33007,plain,
% 51.49/34.13 (~m_processor_v_abort(c_p1, s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19521, 33006])).
% 51.49/34.13 tff(33008,plain,
% 51.49/34.13 (~m_processor_v_master(c_p1, s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[21238, 33007, 32977, 32976, 19191, 32978, 13508])).
% 51.49/34.13 tff(33009,plain,
% 51.49/34.13 (m_processor_v_reply_h_waiting(c_p1, s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19363, 2296, 33008, 33005])).
% 51.49/34.13 tff(33010,plain,
% 51.49/34.13 (~node6(s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19355, 33009])).
% 51.49/34.13 tff(33011,plain,
% 51.49/34.13 (m_main_v_REPLY_h_WAITING(s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19347, 33010])).
% 51.49/34.13 tff(33012,plain,
% 51.49/34.13 (m_processor_v_REPLY_h_WAITING(c_p1, s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[1922, 33011])).
% 51.49/34.13 tff(33013,plain,
% 51.49/34.13 (~node47(c_p1, s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19539, 12108, 33008])).
% 51.49/34.13 tff(33014,plain,
% 51.49/34.13 (~node48(c_p1, s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19525, 11562, 33008])).
% 51.49/34.13 tff(33015,plain,
% 51.49/34.13 (m_processor_v_cmd(c_p1, s4, c_idle)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[1517, 33008])).
% 51.49/34.13 tff(33016,plain,
% 51.49/34.13 (~node52(c_p1, s4, s5)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19535, 33005, 19191])).
% 51.49/34.13 tff(33017,plain,
% 51.49/34.13 (~m_processor_v_state(c_p0, s5, c_shared)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[1068, 32989])).
% 51.49/34.13 tff(33018,plain,
% 51.49/34.13 (~m_memory_v_cmd(c_m, s4, c_idle)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[30193, 33017, 33016, 33015, 33007, 33014, 33013, 32990, 33012, 5656, 32991, 33003, 32978])).
% 51.49/34.13 tff(33019,plain,
% 51.49/34.13 (node29(c_m, s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[1325, 33018])).
% 51.49/34.13 tff(33020,plain,
% 51.49/34.13 (m_memory_v_busy(c_m, s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[2077, 33019])).
% 51.49/34.13 tff(33021,plain,
% 51.49/34.13 (m_memory_v_busy(c_m, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[20093, 33020, 33000])).
% 51.49/34.13 tff(33022,plain,
% 51.49/34.13 (m_memory_v_reply_h_stall(c_m, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[10526, 33021, 32987])).
% 51.49/34.13 tff(33023,plain,
% 51.49/34.13 (~node7(s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[10518, 33022])).
% 51.49/34.13 tff(33024,plain,
% 51.49/34.13 (m_main_v_REPLY_h_STALL(s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[10510, 33023])).
% 51.49/34.13 tff(33025,plain,
% 51.49/34.13 (m_processor_v_REPLY_h_STALL(c_p1, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[11820, 33024])).
% 51.49/34.13 tff(33026,plain,
% 51.49/34.13 (~node60(c_p1, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[12717, 33025])).
% 51.49/34.13 tff(33027,plain,
% 51.49/34.13 (m_processor_v_abort(c_p1, s3)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[11803, 33026])).
% 51.49/34.13 tff(33028,plain,
% 51.49/34.13 (node32(c_p1, s3, s4)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[6640, 33027])).
% 51.49/34.13 tff(33029,plain,
% 51.49/34.13 (~m_processor_v_state(c_p1, s3, c_shared)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[6667, 33028, 32978])).
% 51.49/34.13 tff(33030,plain,
% 51.49/34.13 (~m_processor_v_state(c_p1, s3, c_invalid)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[6812, 33028, 32979])).
% 51.49/34.13 tff(33031,plain,
% 51.49/34.13 ($false),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[6646, 33030, 33029, 5656])).
% 51.49/34.13 tff(33032,plain,(m_processor_v_state(c_p1, s3, c_owned) | (~m_memory_v_cmd(c_m, s6, c_idle)) | (~node60(c_p1, s6)) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_abort(c_p1, s7) | (~m_memory_v_cmd(c_m, s7, c_idle)) | m_processor_v_master(c_p0, s7) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | node67(s9) | m_processor_v_waiting(c_p1, s5)), inference(lemma,lemma(discharge,[]))).
% 51.49/34.13 tff(33033,plain,
% 51.49/34.13 (m_processor_v_waiting(c_p1, s5)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[33032, 5656, 18325, 13435, 24006, 13267, 55, 14157, 5949, 18317])).
% 51.49/34.13 tff(33034,plain,
% 51.49/34.13 (~node56(c_p1, s5)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[19116, 33033])).
% 51.49/34.13 tff(33035,plain,
% 51.49/34.13 (~m_processor_v_writable(c_p1, s5)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[88, 33034])).
% 51.49/34.13 tff(33036,plain,
% 51.49/34.13 (~node67(s5)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[103, 33035])).
% 51.49/34.13 tff(33037,plain,
% 51.49/34.13 (~m_processor_v_waiting(c_p0, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32707, 13509, 24006, 13267, 55, 5949, 13435, 33036, 14157, 18317])).
% 51.49/34.13 tff(33038,plain,
% 51.49/34.13 (~node67(s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[682, 32809])).
% 51.49/34.13 tff(33039,plain,
% 51.49/34.13 (~m_processor_v_state(c_p0, s7, c_shared)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[32877, 33038, 6657, 5656, 5949, 55])).
% 51.49/34.13 tff(33040,plain,
% 51.49/34.13 (~node36(c_p0, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[14523, 33039])).
% 51.49/34.13 tff(33041,plain,
% 51.49/34.13 (node37(c_p0, s7, s8)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[14538, 33039, 55, 14439, 33040])).
% 51.49/34.13 tff(33042,plain,
% 51.49/34.13 (m_processor_v_reply_h_waiting(c_p1, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[14168, 533])).
% 51.49/34.13 tff(33043,plain,
% 51.49/34.13 (~node6(s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[14176, 33042])).
% 51.49/34.13 tff(33044,plain,
% 51.49/34.13 (m_main_v_REPLY_h_WAITING(s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[14184, 33043])).
% 51.49/34.13 tff(33045,plain,
% 51.49/34.13 (m_processor_v_REPLY_h_WAITING(c_p1, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[18192, 33044])).
% 51.49/34.13 tff(33046,plain,
% 51.49/34.13 (node59(c_p1, s6)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[18335, 33045, 18325])).
% 51.49/34.13 tff(33047,plain,
% 51.49/34.13 (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[18342, 33046])).
% 51.49/34.13 tff(33048,plain,
% 51.49/34.13 (~m_main_v_CMD(s6, c_read_h_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[16254, 33047])).
% 51.49/34.13 tff(33049,plain,
% 51.49/34.13 (~m_processor_v_CMD(c_p0, s6, c_read_h_owned)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[16241, 33048])).
% 51.49/34.13 tff(33050,plain,
% 51.49/34.13 (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[18369, 33046])).
% 51.49/34.13 tff(33051,plain,
% 51.49/34.13 (~m_main_v_CMD(s6, c_read_h_shared)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[18379, 33050])).
% 51.49/34.13 tff(33052,plain,
% 51.49/34.13 (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[18385, 33051])).
% 51.49/34.13 tff(33053,plain,
% 51.49/34.13 (~node52(c_p1, s6, s7)),
% 51.49/34.13 inference(unit_resolution,[status(thm)],[18307, 533, 18174])).
% 51.49/34.13 tff(33054,plain,
% 51.49/34.13 (m_processor_v_master(c_p0, s6)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[29809, 33053, 18316, 18312, 18317, 24976, 13406, 2, 33045, 14157])).
% 51.49/34.14 tff(33055,plain,
% 51.49/34.14 (m_processor_v_state(c_p0, s7, c_invalid)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[25131, 33054, 33052, 33039, 33049, 24976, 18363, 14157])).
% 51.49/34.14 tff(33056,plain,
% 51.49/34.14 (m_processor_v_state(c_p0, s8, c_invalid)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[14541, 33055, 55])).
% 51.49/34.14 tff(33057,plain,
% 51.49/34.14 (~m_processor_v_state(c_p0, s8, c_owned)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[14429, 33056])).
% 51.49/34.14 tff(33058,plain,
% 51.49/34.14 (~m_processor_v_state(c_p0, s7, c_owned)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[18120, 33057, 33041])).
% 51.49/34.14 tff(33059,plain,
% 51.49/34.14 (~node56(c_p0, s7)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[2311, 33058])).
% 51.49/34.14 tff(33060,plain,
% 51.49/34.14 (~m_processor_v_writable(c_p0, s7)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[2584, 33059])).
% 51.49/34.14 tff(33061,plain,
% 51.49/34.14 (~node56(c_p0, s8)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[14413, 33057])).
% 51.49/34.14 tff(33062,plain,
% 51.49/34.14 (~m_processor_v_writable(c_p0, s8)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[12508, 33061])).
% 51.49/34.14 tff(33063,plain,
% 51.49/34.14 (~node67(s8)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[12500, 33062])).
% 51.49/34.14 tff(33064,plain,
% 51.49/34.14 (node67(s7)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[21246, 33063, 6657, 33038, 5656, 5949, 32682])).
% 51.49/34.14 tff(33065,plain,
% 51.49/34.14 ($false),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[2592, 33064, 33060])).
% 51.49/34.14 tff(33066,plain,((~m_processor_v_waiting(c_p1, s6)) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s3, c_owned) | node67(s9) | m_processor_v_master(c_p0, s7) | (~m_memory_v_cmd(c_m, s6, c_idle)) | m_processor_v_abort(c_p1, s6) | m_processor_v_waiting(c_p0, s6) | m_processor_v_abort(c_p0, s7) | m_processor_v_master(c_p1, s6) | m_processor_v_waiting(c_p1, s7)), inference(lemma,lemma(discharge,[]))).
% 51.49/34.14 tff(33067,plain,
% 51.49/34.14 (~m_processor_v_waiting(c_p1, s6)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[33066, 33037, 6657, 5949, 55, 18317, 13406, 5656, 32694, 13405, 18174])).
% 51.49/34.14 tff(33068,plain,
% 51.49/34.14 (~node46(c_p1, s5, s6)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[31494, 33067, 33033])).
% 51.49/34.14 tff(33069,plain,
% 51.49/34.14 (~m_processor_v_abort(c_p1, s5)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[31502, 33068])).
% 51.49/34.14 tff(33070,plain,
% 51.49/34.14 (node60(c_p1, s5)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[698, 33069])).
% 51.49/34.14 tff(33071,plain,
% 51.49/34.14 (~m_processor_v_abort(c_p0, s5)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[18089, 33070])).
% 51.49/34.14 tff(33072,plain,
% 51.49/34.14 (~m_processor_v_waiting(c_p1, s6)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[33066, 2, 5656, 5949, 55, 18317, 13406, 6657, 14439, 13405, 18174])).
% 51.49/34.14 tff(33073,plain,
% 51.49/34.14 (node47(c_p1, s5)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[31726, 33072, 25493, 25494, 1060, 835, 19111, 13729])).
% 51.49/34.14 tff(33074,plain,
% 51.49/34.14 (m_processor_v_CMD(c_p1, s5, c_read_h_shared)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[662, 33073])).
% 51.49/34.14 tff(33075,plain,
% 51.49/34.14 (m_main_v_CMD(s5, c_read_h_shared)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[13920, 33074])).
% 51.49/34.14 tff(33076,plain,
% 51.49/34.14 (m_processor_v_CMD(c_p0, s5, c_read_h_shared)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[13930, 33075])).
% 51.49/34.14 tff(33077,plain,
% 51.49/34.14 (~m_processor_v_master(c_p0, s5)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[26663, 33076, 835, 2])).
% 51.49/34.14 tff(33078,plain,
% 51.49/34.14 (~node46(c_p1, s5, s6)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[31494, 33072, 19111])).
% 51.49/34.14 tff(33079,plain,
% 51.49/34.14 (~m_processor_v_abort(c_p1, s5)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[31502, 33078])).
% 51.49/34.14 tff(33080,plain,
% 51.49/34.14 (~m_processor_v_master(c_p1, s5)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[596, 33074, 33072, 33079])).
% 51.49/34.14 tff(33081,plain,
% 51.49/34.14 (m_processor_v_cmd(c_p1, s5, c_idle)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[7028, 33080])).
% 51.49/34.14 tff(33082,plain,
% 51.49/34.14 (~m_processor_v_cmd(c_p0, s5, c_idle)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[28478, 33081, 33075])).
% 51.49/34.14 tff(33083,plain,
% 51.49/34.14 ($false),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[13657, 33082, 33077])).
% 51.49/34.14 tff(33084,plain,(m_processor_v_waiting(c_p0, s6) | m_processor_v_abort(c_p0, s5) | (~m_processor_v_state(c_p0, s5, c_owned)) | (~m_processor_v_waiting(c_p1, s5)) | (~m_memory_v_cmd(c_m, s5, c_idle)) | m_processor_v_state(c_p1, s3, c_owned) | node67(s9) | m_processor_v_master(c_p0, s7) | (~m_memory_v_cmd(c_m, s6, c_idle)) | m_processor_v_abort(c_p1, s6) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_abort(c_p0, s7) | m_processor_v_master(c_p1, s6) | m_processor_v_waiting(c_p1, s7)), inference(lemma,lemma(discharge,[]))).
% 51.49/34.14 tff(33085,plain,
% 51.49/34.14 (~m_memory_v_cmd(c_m, s5, c_idle)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[33084, 33071, 33033, 32901, 33037, 5656, 5949, 55, 18317, 13406, 6657, 32694, 13405, 18174])).
% 51.49/34.14 tff(33086,plain,
% 51.49/34.14 (node29(c_m, s5)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[7144, 33085])).
% 51.49/34.14 tff(33087,plain,
% 51.49/34.14 (m_memory_v_busy(c_m, s5)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[29294, 33086])).
% 51.49/34.14 tff(33088,plain,
% 51.49/34.14 (m_memory_v_busy(c_m, s4)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[31813, 33087, 32975])).
% 51.49/34.14 tff(33089,plain,
% 51.49/34.14 (m_processor_v_master(c_p1, s4)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[30231, 5656, 6657, 33088, 32972, 32682])).
% 51.49/34.14 tff(33090,plain,
% 51.49/34.14 (m_processor_v_master(c_p1, s3)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[31836, 33088, 32977, 32976, 6657, 5656])).
% 51.49/34.14 tff(33091,plain,
% 51.49/34.14 (~m_processor_v_master(c_p0, s3)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[9444, 794, 33090])).
% 51.49/34.14 tff(33092,plain,
% 51.49/34.14 (m_processor_v_master(c_p0, s3) | m_processor_v_reply_h_owned(c_p0, s3)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[19684, 10170, 32972])).
% 51.49/34.14 tff(33093,plain,
% 51.49/34.14 (m_processor_v_reply_h_owned(c_p0, s3)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[33092, 33091])).
% 51.49/34.14 tff(33094,plain,
% 51.49/34.14 (~node5(s3)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[19689, 10185, 33093])).
% 51.49/34.14 tff(33095,plain,
% 51.49/34.14 (m_main_v_REPLY_h_OWNED(s3)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[19697, 33094])).
% 51.49/34.14 tff(33096,plain,
% 51.49/34.14 (m_memory_v_REPLY_h_OWNED(c_m, s3)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[19705, 33095])).
% 51.49/34.14 tff(33097,plain,
% 51.49/34.14 (m_processor_v_state(c_p1, s4, c_invalid)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[31866, 5656, 6657, 33088, 33096, 33090])).
% 51.49/34.14 tff(33098,plain,
% 51.49/34.14 (~node32(c_p1, s4, s5)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[16706, 33097, 32977])).
% 51.49/34.14 tff(33099,plain,
% 51.49/34.14 (~m_processor_v_abort(c_p1, s4)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[6859, 33098])).
% 51.49/34.14 tff(33100,plain,
% 51.49/34.14 (node34(c_p1, s4, s5)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[17176, 33099, 33089])).
% 51.49/34.14 tff(33101,plain,
% 51.49/34.14 (~node33(c_p1, s4, s5)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[31876, 399, 32977, 33097])).
% 51.49/34.14 tff(33102,plain,
% 51.49/34.14 (m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[19236, 33101, 32977, 32976, 33100])).
% 51.49/34.14 tff(33103,plain,
% 51.49/34.14 (m_main_v_CMD(s4, c_read_h_owned)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[2280, 33102])).
% 51.49/34.14 tff(33104,plain,
% 51.49/34.14 (m_memory_v_CMD(c_m, s4, c_read_h_owned)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[28372, 4207, 12584, 33103])).
% 51.49/34.14 tff(33105,plain,
% 51.49/34.14 (node60(c_p1, s4)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[1430, 33099])).
% 51.49/34.14 tff(33106,plain,
% 51.49/34.14 (~m_processor_v_REPLY_h_STALL(c_p1, s4)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[1702, 33105])).
% 51.49/34.14 tff(33107,plain,
% 51.49/34.14 (~m_main_v_REPLY_h_STALL(s4)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[1718, 33106])).
% 51.49/34.14 tff(33108,plain,
% 51.49/34.14 (node7(s4)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[12555, 33107])).
% 51.49/34.14 tff(33109,plain,
% 51.49/34.14 (~m_memory_v_reply_h_stall(c_m, s4)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[12559, 3923, 33108])).
% 51.49/34.14 tff(33110,plain,
% 51.49/34.14 (node30(c_m, s4)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[12569, 33109, 33088])).
% 51.49/34.14 tff(33111,plain,
% 51.49/34.14 ($false),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[31834, 5042, 33110, 33104])).
% 51.49/34.14 tff(33112,plain,(m_processor_v_state(c_p1, s3, c_owned) | m_processor_v_state(c_p1, s4, c_shared) | node67(s9) | m_processor_v_master(c_p0, s7) | (~m_memory_v_cmd(c_m, s6, c_idle)) | m_processor_v_abort(c_p1, s6) | m_processor_v_master(c_p1, s6) | m_processor_v_waiting(c_p1, s7) | m_processor_v_abort(c_p1, s7) | (~m_memory_v_cmd(c_m, s7, c_idle)) | (~m_processor_v_state(c_p1, s7, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.49/34.14 tff(33113,plain,
% 51.49/34.14 (m_processor_v_state(c_p1, s3, c_owned)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[33112, 6657, 5949, 55, 32818, 13406, 13405, 18174, 24006, 32833, 13435])).
% 51.49/34.14 tff(33114,plain,
% 51.49/34.14 (m_processor_v_waiting(c_p0, s7)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[32670, 32602, 14207, 32818])).
% 51.49/34.14 tff(33115,plain,
% 51.49/34.14 (~node56(c_p0, s7)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[2574, 540, 33114])).
% 51.49/34.14 tff(33116,plain,
% 51.49/34.14 (~m_processor_v_writable(c_p0, s7)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[2584, 33115])).
% 51.49/34.14 tff(33117,plain,
% 51.49/34.14 (~node67(s7)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[2592, 33116])).
% 51.49/34.14 tff(33118,plain,
% 51.49/34.14 (m_processor_v_state(c_p1, s8, c_owned)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[31353, 33117, 5949, 32682, 32837])).
% 51.49/34.14 tff(33119,plain,
% 51.49/34.14 (~m_processor_v_state(c_p1, s8, c_invalid)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[13056, 33118])).
% 51.49/34.14 tff(33120,plain,
% 51.49/34.14 (~m_processor_v_state(c_p1, s8, c_shared)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[13150, 121, 33118])).
% 51.49/34.14 tff(33121,plain,
% 51.49/34.14 (m_processor_v_waiting(c_p0, s8)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[32704, 33120, 33114, 13435, 24006, 13267, 33119, 55])).
% 51.49/34.14 tff(33122,plain,
% 51.49/34.14 (~node56(c_p0, s8)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[14420, 33121])).
% 51.49/34.14 tff(33123,plain,
% 51.49/34.14 (~m_processor_v_writable(c_p0, s8)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[12508, 33122])).
% 51.49/34.14 tff(33124,plain,
% 51.49/34.14 (~node67(s8)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[12500, 33123])).
% 51.49/34.14 tff(33125,plain,
% 51.49/34.14 (node67(s4)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[17905, 33124, 32837, 5949, 32674, 33117, 2621])).
% 51.49/34.14 tff(33126,plain,
% 51.49/34.14 (m_processor_v_writable(c_p1, s4)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[6565, 33125])).
% 51.49/34.14 tff(33127,plain,
% 51.49/34.14 (node56(c_p1, s4)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[6573, 33126])).
% 51.49/34.14 tff(33128,plain,
% 51.49/34.14 (~m_processor_v_waiting(c_p1, s4)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[6603, 540, 33127])).
% 51.49/34.14 tff(33129,plain,
% 51.49/34.14 (m_processor_v_master(c_p0, s5)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[1058, 799, 24976])).
% 51.49/34.14 tff(33130,plain,
% 51.49/34.14 (~node17(s5)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[21313, 33129])).
% 51.49/34.14 tff(33131,plain,
% 51.49/34.14 (~m_memory_v_master(c_m, s5)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[13600, 33130])).
% 51.49/34.14 tff(33132,plain,
% 51.49/34.14 (~m_memory_v_busy(c_m, s5)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[28440, 33131, 18288])).
% 51.49/34.14 tff(33133,plain,
% 51.49/34.14 (m_processor_v_writable(c_p0, s4)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[73, 43, 33125])).
% 51.49/34.14 tff(33134,plain,
% 51.49/34.14 (node56(c_p0, s4)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[67, 28, 33133])).
% 51.49/34.14 tff(33135,plain,
% 51.49/34.14 (m_processor_v_state(c_p0, s4, c_owned)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[61, 33134])).
% 51.49/34.14 tff(33136,plain,
% 51.49/34.14 (m_processor_v_master(c_p0, s4)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[6927, 33135, 799])).
% 51.49/34.14 tff(33137,plain,
% 51.49/34.14 (~node17(s4)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[1280, 33136])).
% 51.49/34.14 tff(33138,plain,
% 51.49/34.14 (~m_memory_v_master(c_m, s4)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[1295, 33137])).
% 51.49/34.14 tff(33139,plain,
% 51.49/34.14 (~m_memory_v_busy(c_m, s4)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[7451, 33138, 33132])).
% 51.49/34.14 tff(33140,plain,
% 51.49/34.14 (~m_processor_v_waiting(c_p0, s4)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[9373, 540, 33134])).
% 51.49/34.14 tff(33141,plain,
% 51.49/34.14 (~m_processor_v_state(c_p0, s3, c_shared)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[9823, 33140, 33135])).
% 51.49/34.14 tff(33142,plain,
% 51.49/34.14 (m_processor_v_state(c_p0, s3, c_owned)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[9842, 33140, 33135])).
% 51.49/34.14 tff(33143,plain,
% 51.49/34.14 (~m_processor_v_state(c_p0, s4, c_invalid)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[1757, 33135])).
% 51.49/34.14 tff(33144,plain,
% 51.49/34.14 (~node29(c_m, s3)),
% 51.49/34.14 inference(unit_resolution,[status(thm)],[29190, 33135, 2595])).
% 51.49/34.14 tff(33145,plain,
% 51.49/34.14 (m_memory_v_cmd(c_m, s3, c_idle)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[9510, 33144])).
% 51.53/34.14 tff(33146,plain,
% 51.53/34.14 (m_processor_v_master(c_p0, s3)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[29244, 33134, 2595, 33128, 6713, 33139, 6657])).
% 51.53/34.14 tff(33147,plain,
% 51.53/34.14 (~m_processor_v_master(c_p1, s3)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[9444, 794, 33146])).
% 51.53/34.14 tff(33148,plain,
% 51.53/34.14 (m_processor_v_cmd(c_p1, s3, c_idle)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[9478, 33147])).
% 51.53/34.14 tff(33149,plain,
% 51.53/34.14 (~m_processor_v_state(c_p0, s2, c_invalid)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[11716, 33148, 33145, 33143, 33140, 33142, 33141, 33134])).
% 51.53/34.14 tff(33150,plain,
% 51.53/34.14 (m_processor_v_state(c_p1, s2, c_invalid)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[5074, 33149])).
% 51.53/34.14 tff(33151,plain,
% 51.53/34.14 (~m_processor_v_state(c_p1, s2, c_shared)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[5081, 33150])).
% 51.53/34.14 tff(33152,plain,
% 51.53/34.14 (m_processor_v_master(c_p1, s2)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[5131, 33150, 2621, 33151])).
% 51.53/34.14 tff(33153,plain,
% 51.53/34.14 (m_processor_v_snoop(c_p1, s3, c_invalid)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[8655, 33152])).
% 51.53/34.14 tff(33154,plain,
% 51.53/34.14 (m_processor_v_waiting(c_p1, s3)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[29201, 33150, 2595])).
% 51.53/34.14 tff(33155,plain,
% 51.53/34.14 (~node46(c_p1, s3, s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[12055, 33154, 33128])).
% 51.53/34.14 tff(33156,plain,
% 51.53/34.14 (~m_processor_v_abort(c_p1, s3)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[12063, 33155])).
% 51.53/34.14 tff(33157,plain,
% 51.53/34.14 ($false),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[12333, 33156, 33153, 2595, 33134, 6713, 33135, 33139, 33128, 6657])).
% 51.53/34.14 tff(33158,plain,(m_processor_v_state(c_p0, s5, c_owned) | (~m_processor_v_state(c_p1, s3, c_owned)) | m_processor_v_state(c_p1, s4, c_invalid) | m_processor_v_state(c_p1, s4, c_shared) | node67(s9) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_abort(c_p1, s7) | (~m_memory_v_cmd(c_m, s7, c_idle)) | m_processor_v_master(c_p0, s7) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | m_memory_v_busy(c_m, s6)), inference(lemma,lemma(discharge,[]))).
% 51.53/34.14 tff(33159,plain,
% 51.53/34.14 (m_processor_v_state(c_p1, s4, c_invalid)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[33158, 799, 2595, 6657, 5949, 13435, 24006, 13267, 55, 14207, 18288])).
% 51.53/34.14 tff(33160,plain,
% 51.53/34.14 (m_processor_v_waiting(c_p1, s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[30161, 33159, 6657, 32682])).
% 51.53/34.14 tff(33161,plain,
% 51.53/34.14 (node60(c_p0, s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[7281, 996])).
% 51.53/34.14 tff(33162,plain,
% 51.53/34.14 (m_processor_v_master(c_p0, s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[1017, 812, 970, 799])).
% 51.53/34.14 tff(33163,plain,
% 51.53/34.14 (~m_processor_v_master(c_p1, s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[797, 794, 33162])).
% 51.53/34.14 tff(33164,plain,
% 51.53/34.14 (m_processor_v_reply_h_waiting(c_p1, s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[31551, 33163])).
% 51.53/34.14 tff(33165,plain,
% 51.53/34.14 (~node6(s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[31558, 33164])).
% 51.53/34.14 tff(33166,plain,
% 51.53/34.14 (m_main_v_REPLY_h_WAITING(s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[765, 33165])).
% 51.53/34.14 tff(33167,plain,
% 51.53/34.14 (m_processor_v_REPLY_h_WAITING(c_p0, s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[13890, 33166])).
% 51.53/34.14 tff(33168,plain,
% 51.53/34.14 (node59(c_p0, s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[13900, 33167, 33161])).
% 51.53/34.14 tff(33169,plain,
% 51.53/34.14 (node34(c_p0, s5, s6)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[887, 996, 33162])).
% 51.53/34.14 tff(33170,plain,
% 51.53/34.14 (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[31568, 33168])).
% 51.53/34.14 tff(33171,plain,
% 51.53/34.14 (~m_processor_v_state(c_p0, s6, c_owned)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[1037, 33170, 799])).
% 51.53/34.14 tff(33172,plain,
% 51.53/34.14 (m_processor_v_cmd(c_p1, s5, c_idle)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[7028, 33163])).
% 51.53/34.14 tff(33173,plain,
% 51.53/34.14 (~node17(s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[21313, 33162])).
% 51.53/34.14 tff(33174,plain,
% 51.53/34.14 (~m_memory_v_master(c_m, s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[13600, 33173])).
% 51.53/34.14 tff(33175,plain,
% 51.53/34.14 (~node29(c_m, s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[7136, 33174])).
% 51.53/34.14 tff(33176,plain,
% 51.53/34.14 (m_memory_v_cmd(c_m, s5, c_idle)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[7144, 33175])).
% 51.53/34.14 tff(33177,plain,
% 51.53/34.14 (~node16(s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[21320, 33162])).
% 51.53/34.14 tff(33178,plain,
% 51.53/34.14 (~m_processor_v_master(c_p2, s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[13953, 33177])).
% 51.53/34.14 tff(33179,plain,
% 51.53/34.14 (m_processor_v_cmd(c_p2, s5, c_idle)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[7120, 33178])).
% 51.53/34.14 tff(33180,plain,
% 51.53/34.14 (node8(s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[7152, 1593, 33179, 33176, 33172])).
% 51.53/34.14 tff(33181,plain,
% 51.53/34.14 (m_main_v_CMD(s5, c_read_h_shared)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[21351, 33180, 33171, 33162, 970, 33169])).
% 51.53/34.14 tff(33182,plain,
% 51.53/34.14 (m_processor_v_CMD(c_p0, s5, c_read_h_shared)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[13930, 33181])).
% 51.53/34.14 tff(33183,plain,
% 51.53/34.14 ($false),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[13934, 3834, 33182, 33168])).
% 51.53/34.14 tff(33184,plain,(m_processor_v_state(c_p0, s6, c_invalid) | (~m_processor_v_state(c_p0, s5, c_invalid)) | m_processor_v_state(c_p0, s5, c_owned) | (~m_processor_v_waiting(c_p1, s5))), inference(lemma,lemma(discharge,[]))).
% 51.53/34.14 tff(33185,plain,
% 51.53/34.14 (~m_processor_v_state(c_p0, s5, c_invalid)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[33184, 33160, 25494, 799])).
% 51.53/34.14 tff(33186,plain,
% 51.53/34.14 (~m_processor_v_cmd(c_p1, s4, c_idle)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[22726, 33159, 32682])).
% 51.53/34.14 tff(33187,plain,
% 51.53/34.14 (m_processor_v_master(c_p1, s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[1517, 33186])).
% 51.53/34.14 tff(33188,plain,
% 51.53/34.14 (~m_processor_v_master(c_p0, s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[1437, 33187])).
% 51.53/34.14 tff(33189,plain,
% 51.53/34.14 (~node32(c_p1, s4, s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[16706, 16701, 559])).
% 51.53/34.14 tff(33190,plain,
% 51.53/34.14 (~m_processor_v_abort(c_p1, s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[6859, 33189])).
% 51.53/34.14 tff(33191,plain,
% 51.53/34.14 (node60(c_p1, s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[1430, 33190])).
% 51.53/34.14 tff(33192,plain,
% 51.53/34.14 (~m_processor_v_REPLY_h_STALL(c_p1, s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[1702, 33191])).
% 51.53/34.14 tff(33193,plain,
% 51.53/34.14 (~m_main_v_REPLY_h_STALL(s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[1718, 33192])).
% 51.53/34.14 tff(33194,plain,
% 51.53/34.14 (~m_processor_v_REPLY_h_STALL(c_p0, s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[1734, 33193])).
% 51.53/34.14 tff(33195,plain,
% 51.53/34.14 (~m_processor_v_state(c_p1, s4, c_owned)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[6599, 137, 16701])).
% 51.53/34.14 tff(33196,plain,
% 51.53/34.14 (~m_processor_v_state(c_p1, s4, c_shared)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[16723, 977, 16701])).
% 51.53/34.14 tff(33197,plain,
% 51.53/34.14 (m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[19242, 33196, 559, 33195, 160])).
% 51.53/34.14 tff(33198,plain,
% 51.53/34.14 (m_main_v_CMD(s4, c_read_h_owned)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[2280, 33197])).
% 51.53/34.14 tff(33199,plain,
% 51.53/34.14 (m_processor_v_CMD(c_p0, s4, c_read_h_owned)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[1692, 33198])).
% 51.53/34.14 tff(33200,plain,
% 51.53/34.14 (~node35(c_p0, s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[1186, 316, 33199])).
% 51.53/34.14 tff(33201,plain,
% 51.53/34.14 (m_processor_v_abort(c_p0, s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[1175, 33200, 1126, 814, 1075])).
% 51.53/34.14 tff(33202,plain,
% 51.53/34.14 (node61(c_p0, s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[1881, 33201, 33194])).
% 51.53/34.14 tff(33203,plain,
% 51.53/34.14 (m_processor_v_REPLY_h_WAITING(c_p0, s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[1896, 33202])).
% 51.53/34.14 tff(33204,plain,
% 51.53/34.14 (m_main_v_REPLY_h_WAITING(s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[1914, 33203])).
% 51.53/34.14 tff(33205,plain,
% 51.53/34.14 (m_processor_v_REPLY_h_WAITING(c_p1, s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[1922, 33204])).
% 51.53/34.14 tff(33206,plain,
% 51.53/34.14 (node59(c_p1, s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[1933, 33205, 33191])).
% 51.53/34.14 tff(33207,plain,
% 51.53/34.14 ($false),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[1960, 707, 33197, 33206])).
% 51.53/34.14 tff(33208,plain,((~m_processor_v_state(c_p1, s4, c_invalid)) | m_processor_v_master(c_p0, s4) | m_processor_v_state(c_p0, s5, c_invalid) | (~m_processor_v_state(c_p0, s4, c_shared)) | m_processor_v_state(c_p1, s5, c_invalid) | m_processor_v_state(c_p1, s5, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.53/34.14 tff(33209,plain,
% 51.53/34.14 (~m_processor_v_state(c_p0, s4, c_shared)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[33208, 33188, 32977, 32976, 33185, 33159])).
% 51.53/34.14 tff(33210,plain,
% 51.53/34.14 ($false),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[6916, 33209, 33188, 799, 33185])).
% 51.53/34.14 tff(33211,plain,(m_processor_v_state(c_p0, s5, c_owned) | m_processor_v_state(c_p1, s4, c_shared) | (~m_processor_v_state(c_p1, s3, c_owned)) | node67(s9) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_abort(c_p1, s7) | (~m_memory_v_cmd(c_m, s7, c_idle)) | m_processor_v_master(c_p0, s7) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | m_memory_v_busy(c_m, s6)), inference(lemma,lemma(discharge,[]))).
% 51.53/34.14 tff(33212,plain,
% 51.53/34.14 (m_processor_v_state(c_p0, s5, c_owned)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[33211, 6657, 33113, 5949, 13435, 24006, 32833, 55, 14157, 18288])).
% 51.53/34.14 tff(33213,plain,
% 51.53/34.14 (m_main_v_CMD(s4, c_read_h_owned)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[28333, 32444, 1069, 1073, 1192, 54])).
% 51.53/34.14 tff(33214,plain,
% 51.53/34.14 (m_memory_v_CMD(c_m, s4, c_read_h_owned)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[28372, 4207, 12584, 33213])).
% 51.53/34.14 tff(33215,plain,
% 51.53/34.14 (~node56(c_p0, s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[21281, 32449])).
% 51.53/34.14 tff(33216,plain,
% 51.53/34.14 (~m_processor_v_writable(c_p0, s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[19304, 33215])).
% 51.53/34.14 tff(33217,plain,
% 51.53/34.14 (~node67(s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[19296, 33216])).
% 51.53/34.14 tff(33218,plain,
% 51.53/34.14 (~m_processor_v_waiting(c_p0, s6)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[32707, 21270, 24006, 13267, 55, 5949, 13435, 33217, 14207, 18317])).
% 51.53/34.14 tff(33219,plain,
% 51.53/34.14 (m_processor_v_reply_h_owned(c_p1, s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[31453, 1438, 32682, 6657])).
% 51.53/34.14 tff(33220,plain,
% 51.53/34.14 (~node5(s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[31445, 33219])).
% 51.53/34.14 tff(33221,plain,
% 51.53/34.14 (m_main_v_REPLY_h_OWNED(s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[31474, 33220])).
% 51.53/34.14 tff(33222,plain,
% 51.53/34.14 (m_memory_v_REPLY_h_OWNED(c_m, s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[31481, 33221])).
% 51.53/34.14 tff(33223,plain,
% 51.53/34.14 (~m_memory_v_busy(c_m, s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[31813, 33222, 2065])).
% 51.53/34.14 tff(33224,plain,
% 51.53/34.14 (~node29(c_m, s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[29294, 33223])).
% 51.53/34.14 tff(33225,plain,
% 51.53/34.14 (m_memory_v_cmd(c_m, s5, c_idle)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[7144, 33224])).
% 51.53/34.14 tff(33226,plain,
% 51.53/34.14 (m_processor_v_abort(c_p0, s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[32103, 33225, 32682, 1, 143, 32449, 25493, 25494, 1060, 33218])).
% 51.53/34.14 tff(33227,plain,
% 51.53/34.14 (node46(c_p0, s5, s6)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[32108, 33226])).
% 51.53/34.14 tff(33228,plain,
% 51.53/34.14 ($false),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[32115, 11708, 32449, 33218, 33227])).
% 51.53/34.14 tff(33229,plain,(m_processor_v_state(c_p0, s4, c_owned) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s6, c_invalid) | (~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_abort(c_p1, s7) | (~m_memory_v_cmd(c_m, s7, c_idle)) | m_processor_v_master(c_p0, s7) | node67(s9) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | m_memory_v_busy(c_m, s4) | m_processor_v_state(c_p1, s4, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.53/34.14 tff(33230,plain,
% 51.53/34.14 (m_memory_v_busy(c_m, s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[33229, 54, 143, 1, 24006, 13267, 55, 5949, 13435, 14207, 18317, 1060, 6657])).
% 51.53/34.14 tff(33231,plain,
% 51.53/34.14 (~node32(c_p0, s4, s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[1103, 54, 1069, 1073])).
% 51.53/34.14 tff(33232,plain,
% 51.53/34.14 (~m_processor_v_abort(c_p0, s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[1124, 33231])).
% 51.53/34.14 tff(33233,plain,
% 51.53/34.14 (node60(c_p0, s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[1353, 33232])).
% 51.53/34.14 tff(33234,plain,
% 51.53/34.14 (~m_processor_v_REPLY_h_STALL(c_p0, s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[1368, 33233])).
% 51.53/34.14 tff(33235,plain,
% 51.53/34.14 (~m_main_v_REPLY_h_STALL(s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[1386, 33234])).
% 51.53/34.14 tff(33236,plain,
% 51.53/34.14 (node7(s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[12555, 33235])).
% 51.53/34.14 tff(33237,plain,
% 51.53/34.14 (~m_memory_v_reply_h_stall(c_m, s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[12559, 3923, 33236])).
% 51.53/34.14 tff(33238,plain,
% 51.53/34.14 (node30(c_m, s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[12569, 33237, 33230])).
% 51.53/34.14 tff(33239,plain,
% 51.53/34.14 ($false),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[31834, 5042, 33238, 33214])).
% 51.53/34.14 tff(33240,plain,(m_processor_v_state(c_p0, s4, c_owned) | (~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_state(c_p1, s6, c_invalid) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_abort(c_p1, s7) | (~m_memory_v_cmd(c_m, s7, c_idle)) | m_processor_v_master(c_p0, s7) | node67(s9) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | m_processor_v_state(c_p1, s4, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.53/34.14 tff(33241,plain,
% 51.53/34.14 (m_processor_v_state(c_p0, s4, c_owned)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[33240, 33212, 143, 1, 24006, 32833, 55, 5949, 13435, 14157, 32818, 6657])).
% 51.53/34.14 tff(33242,plain,
% 51.53/34.14 (~m_memory_v_busy(c_m, s3)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[29069, 33113, 33241])).
% 51.53/34.14 tff(33243,plain,
% 51.53/34.14 (~m_processor_v_state(c_p0, s4, c_shared)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[6888, 33241])).
% 51.53/34.14 tff(33244,plain,
% 51.53/34.14 (m_processor_v_state(c_p1, s4, c_owned)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[16488, 6607, 33113])).
% 51.53/34.14 tff(33245,plain,
% 51.53/34.14 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[6599, 137, 33244])).
% 51.53/34.14 tff(33246,plain,
% 51.53/34.14 (m_processor_v_state(c_p0, s5, c_owned)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[33158, 33245, 33113, 6657, 5949, 13435, 24006, 32833, 55, 14157, 18288])).
% 51.53/34.14 tff(33247,plain,
% 51.53/34.14 (m_processor_v_state(c_p0, s4, c_owned)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[33229, 33246, 143, 1, 24006, 32833, 55, 5949, 13435, 14157, 32818, 2065, 6657])).
% 51.53/34.14 tff(33248,plain,
% 51.53/34.14 (~node5(s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[31467, 33247, 32682, 6657])).
% 51.53/34.14 tff(33249,plain,
% 51.53/34.14 (m_main_v_REPLY_h_OWNED(s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[31474, 33248])).
% 51.53/34.14 tff(33250,plain,
% 51.53/34.14 (m_memory_v_REPLY_h_OWNED(c_m, s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[31481, 33249])).
% 51.53/34.14 tff(33251,plain,
% 51.53/34.14 (~m_memory_v_busy(c_m, s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[31813, 33250, 2065])).
% 51.53/34.14 tff(33252,plain,
% 51.53/34.14 (~node29(c_m, s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[29294, 33251])).
% 51.53/34.14 tff(33253,plain,
% 51.53/34.14 (m_memory_v_cmd(c_m, s5, c_idle)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[7144, 33252])).
% 51.53/34.14 tff(33254,plain,
% 51.53/34.14 (~m_processor_v_state(c_p1, s3, c_invalid)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[2620, 137, 33113])).
% 51.53/34.14 tff(33255,plain,
% 51.53/34.14 (~node67(s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[29206, 33245, 33113, 33247, 2065, 6657, 22683])).
% 51.53/34.14 tff(33256,plain,
% 51.53/34.14 (m_processor_v_waiting(c_p1, s6)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[31740, 19111, 25493, 25494, 13729, 1060])).
% 51.53/34.14 tff(33257,plain,
% 51.53/34.14 (m_processor_v_reply_h_waiting(c_p1, s6)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[14168, 33256])).
% 51.53/34.14 tff(33258,plain,
% 51.53/34.14 (~node6(s6)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[14176, 33257])).
% 51.53/34.14 tff(33259,plain,
% 51.53/34.14 (m_main_v_REPLY_h_WAITING(s6)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[14184, 33258])).
% 51.53/34.14 tff(33260,plain,
% 51.53/34.14 (m_processor_v_REPLY_h_WAITING(c_p1, s6)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[18192, 33259])).
% 51.53/34.14 tff(33261,plain,
% 51.53/34.14 (node59(c_p1, s6)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[18335, 33260, 18325])).
% 51.53/34.14 tff(33262,plain,
% 51.53/34.14 (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[18342, 33261])).
% 51.53/34.14 tff(33263,plain,
% 51.53/34.14 (~m_main_v_CMD(s6, c_read_h_owned)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[16254, 33262])).
% 51.53/34.14 tff(33264,plain,
% 51.53/34.14 (~m_processor_v_CMD(c_p0, s6, c_read_h_owned)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[16241, 33263])).
% 51.53/34.14 tff(33265,plain,
% 51.53/34.14 (~node52(c_p1, s6, s7)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[18307, 33256, 18174])).
% 51.53/34.14 tff(33266,plain,
% 51.53/34.14 (~m_processor_v_waiting(c_p0, s6)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[32707, 22268, 24006, 13267, 55, 5949, 13435, 5670, 14157, 18317])).
% 51.53/34.14 tff(33267,plain,
% 51.53/34.14 (m_processor_v_master(c_p0, s6)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[29809, 33260, 18316, 18312, 18317, 24976, 13406, 33266, 33265, 14157])).
% 51.53/34.14 tff(33268,plain,
% 51.53/34.14 (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[18369, 33261])).
% 51.53/34.14 tff(33269,plain,
% 51.53/34.14 (~m_main_v_CMD(s6, c_read_h_shared)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[18379, 33268])).
% 51.53/34.14 tff(33270,plain,
% 51.53/34.14 (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[18385, 33269])).
% 51.53/34.14 tff(33271,plain,
% 51.53/34.14 (~m_processor_v_state(c_p0, s7, c_shared)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[14501, 14422, 55])).
% 51.53/34.14 tff(33272,plain,
% 51.53/34.14 (~m_processor_v_state(c_p0, s7, c_invalid)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[14541, 14430, 55])).
% 51.53/34.14 tff(33273,plain,
% 51.53/34.14 ($false),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[25131, 33272, 33271, 2441, 14350, 2439, 785, 16276, 14207])).
% 51.53/34.14 tff(33274,plain,((~m_processor_v_state(c_p0, s8, c_owned)) | (~m_processor_v_master(c_p0, s6)) | m_processor_v_CMD(c_p0, s6, c_read_h_shared) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | (~m_processor_v_state(c_p0, s6, c_owned)) | m_processor_v_REPLY_h_STALL(c_p0, s6) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | m_processor_v_master(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 51.53/34.14 tff(33275,plain,
% 51.53/34.14 (~m_processor_v_state(c_p0, s8, c_owned)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[33274, 33270, 33267, 33264, 24976, 18363, 14157, 55])).
% 51.53/34.14 tff(33276,plain,
% 51.53/34.14 (~node37(c_p0, s7, s8)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[18120, 2313, 14408])).
% 51.53/34.14 tff(33277,plain,
% 51.53/34.14 (~node36(c_p0, s7)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[14523, 2325])).
% 51.53/34.14 tff(33278,plain,
% 51.53/34.14 ($false),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[14538, 33277, 2325, 55, 14439, 33276])).
% 51.53/34.14 tff(33279,plain,((~m_processor_v_state(c_p0, s7, c_owned)) | m_processor_v_master(c_p0, s7) | m_processor_v_abort(c_p0, s7) | m_processor_v_state(c_p0, s8, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.53/34.14 tff(33280,plain,
% 51.53/34.14 (~m_processor_v_state(c_p0, s7, c_owned)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[33279, 33275, 32694, 55])).
% 51.53/34.14 tff(33281,plain,
% 51.53/34.14 (~node56(c_p0, s7)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[2311, 33280])).
% 51.53/34.14 tff(33282,plain,
% 51.53/34.14 (~m_processor_v_writable(c_p0, s7)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[2584, 33281])).
% 51.53/34.14 tff(33283,plain,
% 51.53/34.14 (~node56(c_p1, s6)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[545, 33256])).
% 51.53/34.14 tff(33284,plain,
% 51.53/34.14 (~m_processor_v_writable(c_p1, s6)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[672, 33283])).
% 51.53/34.14 tff(33285,plain,
% 51.53/34.14 (~node67(s6)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[682, 33284])).
% 51.53/34.14 tff(33286,plain,
% 51.53/34.14 (~node56(c_p0, s8)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[14413, 33275])).
% 51.53/34.14 tff(33287,plain,
% 51.53/34.14 (~m_processor_v_writable(c_p0, s8)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[12508, 33286])).
% 51.53/34.14 tff(33288,plain,
% 51.53/34.14 (~node67(s8)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[12500, 33287])).
% 51.53/34.14 tff(33289,plain,
% 51.53/34.14 (node67(s7)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[17905, 33288, 5670, 5949, 22268, 33285, 5091])).
% 51.53/34.14 tff(33290,plain,
% 51.53/34.14 ($false),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[2592, 33289, 33282])).
% 51.53/34.14 tff(33291,plain,((~m_processor_v_waiting(c_p1, s5)) | node67(s4) | node67(s9) | m_processor_v_state(c_p1, s3, c_invalid) | m_processor_v_master(c_p0, s7) | (~m_memory_v_cmd(c_m, s6, c_idle)) | m_processor_v_abort(c_p1, s6) | m_processor_v_abort(c_p1, s7) | (~m_memory_v_cmd(c_m, s7, c_idle)) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_master(c_p1, s6) | m_processor_v_waiting(c_p1, s7) | (~m_memory_v_cmd(c_m, s5, c_idle)) | (~m_processor_v_state(c_p0, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.53/34.14 tff(33292,plain,
% 51.53/34.14 (~m_processor_v_waiting(c_p1, s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[33291, 33255, 5949, 33254, 55, 32818, 13406, 24006, 32833, 13435, 13405, 18174, 33253, 33246])).
% 51.53/34.14 tff(33293,plain,
% 51.53/34.14 (m_processor_v_waiting(c_p0, s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[30543, 33292, 6607, 33113, 33247, 32977, 32976, 2065, 6657])).
% 51.53/34.14 tff(33294,plain,
% 51.53/34.14 (~node56(c_p0, s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[21281, 33293])).
% 51.53/34.14 tff(33295,plain,
% 51.53/34.14 (~m_processor_v_writable(c_p0, s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[19304, 33294])).
% 51.53/34.14 tff(33296,plain,
% 51.53/34.14 (~node67(s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[19296, 33295])).
% 51.53/34.14 tff(33297,plain,
% 51.53/34.14 (~m_processor_v_waiting(c_p0, s6)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[32707, 33296, 24006, 32833, 55, 5949, 13435, 33255, 14157, 32818])).
% 51.53/34.14 tff(33298,plain,
% 51.53/34.14 (m_processor_v_abort(c_p0, s5)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[32103, 33297, 32682, 1, 143, 33253, 25493, 25494, 33246, 33293])).
% 51.53/34.14 tff(33299,plain,
% 51.53/34.14 (node46(c_p0, s5, s6)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[32108, 33298])).
% 51.53/34.14 tff(33300,plain,
% 51.53/34.14 ($false),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[32115, 11708, 33293, 33297, 33299])).
% 51.53/34.14 tff(33301,plain,(m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s6, c_invalid) | m_processor_v_abort(c_p1, s7) | m_processor_v_master(c_p0, s7) | node67(s9) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_memory_v_busy(c_m, s4) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_abort(c_p1, s6) | m_processor_v_master(c_p1, s6) | m_processor_v_waiting(c_p1, s7) | m_memory_v_busy(c_m, s6)), inference(lemma,lemma(discharge,[]))).
% 51.53/34.14 tff(33302,plain,
% 51.53/34.14 (m_memory_v_busy(c_m, s4)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[33301, 6607, 143, 24006, 55, 5949, 13435, 1, 6657, 13406, 13405, 18174, 18288])).
% 51.53/34.14 tff(33303,plain,
% 51.53/34.14 (~m_memory_v_REPLY_h_OWNED(c_m, s3)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[22753, 33302, 33243, 33242, 22683])).
% 51.53/34.14 tff(33304,plain,
% 51.53/34.14 (m_processor_v_master(c_p1, s3) | m_processor_v_reply_h_owned(c_p1, s3)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[21699, 10170, 33113])).
% 51.53/34.14 tff(33305,plain,
% 51.53/34.14 (m_processor_v_reply_h_owned(c_p1, s3)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[33304, 6607])).
% 51.53/34.14 tff(33306,plain,
% 51.53/34.14 (~node5(s3)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[21708, 33305])).
% 51.53/34.14 tff(33307,plain,
% 51.53/34.14 (m_main_v_REPLY_h_OWNED(s3)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[19697, 33306])).
% 51.53/34.14 tff(33308,plain,
% 51.53/34.14 ($false),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[19705, 33307, 33303])).
% 51.53/34.14 tff(33309,plain,(m_processor_v_master(c_p1, s3) | m_processor_v_state(c_p1, s6, c_invalid) | m_processor_v_abort(c_p1, s7) | m_processor_v_master(c_p0, s7) | node67(s9) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_abort(c_p1, s6) | m_processor_v_master(c_p1, s6) | m_processor_v_waiting(c_p1, s7) | m_memory_v_busy(c_m, s6)), inference(lemma,lemma(discharge,[]))).
% 51.53/34.14 tff(33310,plain,
% 51.53/34.14 (m_processor_v_master(c_p1, s3)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[33309, 6657, 24006, 55, 5949, 13435, 1, 143, 13406, 13405, 18174, 18288])).
% 51.53/34.14 tff(33311,plain,
% 51.53/34.14 (~node50(c_p1, s3)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[22321, 16866, 33310])).
% 51.53/34.14 tff(33312,plain,
% 51.53/34.14 (~m_processor_v_state(c_p0, s4, c_invalid)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[1757, 33241])).
% 51.53/34.14 tff(33313,plain,
% 51.53/34.14 (~m_processor_v_master(c_p0, s3)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[9444, 794, 33310])).
% 51.53/34.14 tff(33314,plain,
% 51.53/34.14 (m_processor_v_state(c_p0, s3, c_owned)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[9728, 33313, 33241])).
% 51.53/34.14 tff(33315,plain,
% 51.53/34.14 (~m_processor_v_state(c_p0, s3, c_shared)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[2661, 33314])).
% 51.53/34.14 tff(33316,plain,
% 51.53/34.14 (~m_processor_v_state(c_p0, s3, c_invalid)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[2665, 137, 33314])).
% 51.53/34.14 tff(33317,plain,
% 51.53/34.14 (m_processor_v_snoop(c_p1, s3, c_invalid)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[22785, 33316, 33315, 33313, 33312, 33113])).
% 51.53/34.14 tff(33318,plain,
% 51.53/34.14 (~m_processor_v_snoop(c_p1, s3, c_shared)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[12038, 4096, 33317])).
% 51.53/34.14 tff(33319,plain,
% 51.53/34.14 (~node65(c_p1, s3)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[10761, 4107, 33318])).
% 51.53/34.14 tff(33320,plain,
% 51.53/34.14 (~node62(c_p1, s3)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[10639, 1633, 33254])).
% 51.53/34.14 tff(33321,plain,
% 51.53/34.14 (~m_processor_v_state(c_p1, s3, c_shared)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[5139, 121, 33113])).
% 51.53/34.14 tff(33322,plain,
% 51.53/34.14 (~node63(c_p1, s3)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[10643, 1809, 33321])).
% 51.53/34.14 tff(33323,plain,
% 51.53/34.14 (~m_processor_v_snoop(c_p1, s3, c_owned)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[12043, 4071, 33317])).
% 51.53/34.14 tff(33324,plain,
% 51.53/34.14 (~node64(c_p1, s3)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[10718, 4082, 33323])).
% 51.53/34.14 tff(33325,plain,
% 51.53/34.14 (node63(c_p1, s3) | (~m_processor_v_master(c_p1, s3)) | m_processor_v_cmd(c_p1, s3, c_write_h_invalid) | node62(c_p1, s3) | (~m_processor_v_snoop(c_p1, s3, c_invalid)) | node65(c_p1, s3) | node64(c_p1, s3)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[10756, 7232, 33113])).
% 51.53/34.14 tff(33326,plain,
% 51.53/34.14 (m_processor_v_cmd(c_p1, s3, c_write_h_invalid)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[33325, 33324, 33322, 33320, 33310, 33317, 33319])).
% 51.53/34.14 tff(33327,plain,
% 51.53/34.14 (~m_processor_v_cmd(c_p1, s3, c_read_h_shared)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[16686, 11648, 33326])).
% 51.53/34.14 tff(33328,plain,
% 51.53/34.14 (~node16(s3)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[10569, 3386, 33310])).
% 51.53/34.14 tff(33329,plain,
% 51.53/34.14 (~m_processor_v_master(c_p2, s3)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[9562, 33328])).
% 51.53/34.14 tff(33330,plain,
% 51.53/34.14 (m_processor_v_cmd(c_p2, s3, c_idle)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[9594, 33329])).
% 51.53/34.14 tff(33331,plain,
% 51.53/34.14 (m_processor_v_cmd(c_p0, s3, c_idle)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[10144, 33313])).
% 51.53/34.14 tff(33332,plain,
% 51.53/34.14 (~node29(c_m, s3)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[29190, 33241, 33113])).
% 51.53/34.14 tff(33333,plain,
% 51.53/34.14 (m_memory_v_cmd(c_m, s3, c_idle)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[9510, 33332])).
% 51.53/34.14 tff(33334,plain,
% 51.53/34.14 (~m_processor_v_cmd(c_p1, s3, c_idle)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[12098, 3630, 33326])).
% 51.53/34.14 tff(33335,plain,
% 51.53/34.14 (~node9(s3)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[10785, 33334])).
% 51.53/34.14 tff(33336,plain,
% 51.53/34.14 (node10(s3)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[10800, 33335, 33333, 33331, 33330])).
% 51.53/34.14 tff(33337,plain,
% 51.53/34.14 (~m_main_v_CMD(s3, c_read_h_shared)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[16693, 3512, 33336, 33327])).
% 51.53/34.14 tff(33338,plain,
% 51.53/34.14 (~m_processor_v_CMD(c_p1, s3, c_read_h_shared)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[10595, 33337])).
% 51.53/34.14 tff(33339,plain,
% 51.53/34.14 (~node47(c_p1, s3)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[6804, 657, 33338])).
% 51.53/34.14 tff(33340,plain,
% 51.53/34.14 (~m_processor_v_cmd(c_p1, s3, c_read_h_owned)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[16680, 3716, 33326])).
% 51.53/34.14 tff(33341,plain,
% 51.53/34.14 (~m_main_v_CMD(s3, c_read_h_owned)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[10695, 3512, 33336, 33340])).
% 51.53/34.14 tff(33342,plain,
% 51.53/34.14 (~m_processor_v_CMD(c_p1, s3, c_read_h_owned)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[12458, 33341])).
% 51.53/34.14 tff(33343,plain,
% 51.53/34.14 (~node48(c_p1, s3)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[22337, 16883, 33342])).
% 51.53/34.14 tff(33344,plain,
% 51.53/34.14 (~node49(c_p1, s3)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[22331, 16755, 33310])).
% 51.53/34.14 tff(33345,plain,
% 51.53/34.14 (~node51(c_p1, s3)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[22327, 16894, 33310])).
% 51.53/34.14 tff(33346,plain,
% 51.53/34.14 (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_shared)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[17039, 17036, 33326])).
% 51.53/34.14 tff(33347,plain,
% 51.53/34.14 (~m_main_v_CMD(s3, c_write_h_resp_h_shared)),
% 51.53/34.14 inference(unit_resolution,[status(thm)],[17046, 3512, 33346, 33336])).
% 51.53/34.15 tff(33348,plain,
% 51.53/34.15 (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_shared)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[11539, 1612, 9538, 33347])).
% 51.53/34.15 tff(33349,plain,
% 51.53/34.15 (~node51(c_p0, s3)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[11554, 33348])).
% 51.53/34.15 tff(33350,plain,
% 51.53/34.15 (~m_processor_v_cmd(c_p1, s3, c_write_h_resp_h_invalid)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[10669, 10666, 33326])).
% 51.53/34.15 tff(33351,plain,
% 51.53/34.15 (~m_main_v_CMD(s3, c_write_h_resp_h_invalid)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[17026, 3512, 33336, 33350])).
% 51.53/34.15 tff(33352,plain,
% 51.53/34.15 (~m_processor_v_CMD(c_p0, s3, c_write_h_resp_h_invalid)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[11590, 1612, 33351, 9538])).
% 51.53/34.15 tff(33353,plain,
% 51.53/34.15 (~node50(c_p0, s3)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[11601, 11598, 33352])).
% 51.53/34.15 tff(33354,plain,
% 51.53/34.15 (~m_processor_v_cmd(c_p1, s3, c_response)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[30897, 21084, 33326])).
% 51.53/34.15 tff(33355,plain,
% 51.53/34.15 (~m_main_v_CMD(s3, c_response)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[30901, 3512, 33336, 33354])).
% 51.53/34.15 tff(33356,plain,
% 51.53/34.15 (~m_processor_v_CMD(c_p0, s3, c_response)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[11571, 1612, 9538, 33355])).
% 51.53/34.15 tff(33357,plain,
% 51.53/34.15 (~node49(c_p0, s3)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[11582, 11579, 33356])).
% 51.53/34.15 tff(33358,plain,
% 51.53/34.15 (~node47(c_p0, s3)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[17066, 12108, 33313])).
% 51.53/34.15 tff(33359,plain,
% 51.53/34.15 (~node48(c_p0, s3)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[11565, 11562, 33313])).
% 51.53/34.15 tff(33360,plain,
% 51.53/34.15 (m_processor_v_snoop(c_p0, s3, c_invalid)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[26924, 33113])).
% 51.53/34.15 tff(33361,plain,
% 51.53/34.15 (m_processor_v_snoop(c_p0, s4, c_invalid)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[29146, 33314, 33360, 6657])).
% 51.53/34.15 tff(33362,plain,
% 51.53/34.15 (~m_processor_v_snoop(c_p0, s4, c_owned)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[21056, 4071, 33361])).
% 51.53/34.15 tff(33363,plain,
% 51.53/34.15 (~m_processor_v_snoop(c_p0, s4, c_shared)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[21061, 4096, 33361])).
% 51.53/34.15 tff(33364,plain,
% 51.53/34.15 (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_shared)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[12130, 1260, 10577, 33347])).
% 51.53/34.15 tff(33365,plain,
% 51.53/34.15 (~node43(c_p1, s3)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[30955, 7631, 33364])).
% 51.53/34.15 tff(33366,plain,
% 51.53/34.15 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))) | ((~m_processor_v_master(c_p1, s3)) | (~node40(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))) | (~m_processor_v_master(c_p1, s3)) | (~node40(c_p1, s3)))),
% 51.53/34.15 inference(rewrite,[status(thm)],[])).
% 51.53/34.15 tff(33367,plain,
% 51.53/34.15 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))) | ((~m_processor_v_master(c_p1, s3)) | (~node40(c_p1, s3)))),
% 51.53/34.15 inference(quant_inst,[status(thm)],[])).
% 51.53/34.15 tff(33368,plain,
% 51.53/34.15 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node40(I0, X)))) | (~m_processor_v_master(c_p1, s3)) | (~node40(c_p1, s3))),
% 51.53/34.15 inference(modus_ponens,[status(thm)],[33367, 33366])).
% 51.53/34.15 tff(33369,plain,
% 51.53/34.15 (~node40(c_p1, s3)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[33368, 8069, 33310])).
% 51.53/34.15 tff(33370,plain,
% 51.53/34.15 (((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))) | ((~m_processor_v_master(c_p1, s3)) | (~node41(c_p1, s3)))) <=> ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))) | (~m_processor_v_master(c_p1, s3)) | (~node41(c_p1, s3)))),
% 51.53/34.15 inference(rewrite,[status(thm)],[])).
% 51.53/34.15 tff(33371,plain,
% 51.53/34.15 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))) | ((~m_processor_v_master(c_p1, s3)) | (~node41(c_p1, s3)))),
% 51.53/34.15 inference(quant_inst,[status(thm)],[])).
% 51.53/34.15 tff(33372,plain,
% 51.53/34.15 ((~![I0: $i, X: $i] : ((~m_processor_v_master(I0, X)) | (~node41(I0, X)))) | (~m_processor_v_master(c_p1, s3)) | (~node41(c_p1, s3))),
% 51.53/34.15 inference(modus_ponens,[status(thm)],[33371, 33370])).
% 51.53/34.15 tff(33373,plain,
% 51.53/34.15 (~node41(c_p1, s3)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[33372, 8080, 33310])).
% 51.53/34.15 tff(33374,plain,
% 51.53/34.15 (~m_processor_v_CMD(c_p1, s3, c_write_h_resp_h_invalid)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[12154, 1260, 10577, 33351])).
% 51.53/34.15 tff(33375,plain,
% 51.53/34.15 (~node42(c_p1, s3)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[30960, 7579, 33374])).
% 51.53/34.15 tff(33376,plain,
% 51.53/34.15 (m_processor_v_snoop(c_p1, s4, c_invalid)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[17451, 33375, 33373, 33317, 33369, 33365])).
% 51.53/34.15 tff(33377,plain,
% 51.53/34.15 (~m_memory_v_CMD(c_m, s3, c_read_h_shared)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[11971, 33337])).
% 51.53/34.15 tff(33378,plain,
% 51.53/34.15 (~m_memory_v_CMD(c_m, s3, c_read_h_owned)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[11985, 4693, 33341, 10083])).
% 51.53/34.15 tff(33379,plain,
% 51.53/34.15 (~node21(c_m, s3)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[10003, 7430, 33378, 33377])).
% 51.53/34.15 tff(33380,plain,
% 51.53/34.15 (~m_memory_v_busy(c_m, s4)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[29089, 33242, 33379])).
% 51.53/34.15 tff(33381,plain,
% 51.53/34.15 (m_processor_v_state(c_p0, s4, c_owned)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[33240, 1060, 143, 1, 24006, 13267, 55, 5949, 13435, 14157, 18317, 6657])).
% 51.53/34.15 tff(33382,plain,
% 51.53/34.15 (~m_processor_v_writable(c_p0, s4)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[67, 28, 22964])).
% 51.53/34.15 tff(33383,plain,
% 51.53/34.15 (~node67(s4)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[73, 43, 33382])).
% 51.53/34.15 tff(33384,plain,
% 51.53/34.15 (~node5(s4)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[31467, 33381, 32682, 6657])).
% 51.53/34.15 tff(33385,plain,
% 51.53/34.15 (m_main_v_REPLY_h_OWNED(s4)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[31474, 33384])).
% 51.53/34.15 tff(33386,plain,
% 51.53/34.15 (m_memory_v_REPLY_h_OWNED(c_m, s4)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[31481, 33385])).
% 51.53/34.15 tff(33387,plain,
% 51.53/34.15 (~m_memory_v_busy(c_m, s5)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[31813, 2065, 33386])).
% 51.53/34.15 tff(33388,plain,
% 51.53/34.15 (~node29(c_m, s5)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[29294, 33387])).
% 51.53/34.15 tff(33389,plain,
% 51.53/34.15 (m_memory_v_cmd(c_m, s5, c_idle)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[7144, 33388])).
% 51.53/34.15 tff(33390,plain,
% 51.53/34.15 (~node56(c_p0, s5)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[21281, 21276])).
% 51.53/34.15 tff(33391,plain,
% 51.53/34.15 (~m_processor_v_writable(c_p0, s5)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[19304, 33390])).
% 51.53/34.15 tff(33392,plain,
% 51.53/34.15 (~node67(s5)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[19296, 33391])).
% 51.53/34.15 tff(33393,plain,
% 51.53/34.15 (~m_processor_v_waiting(c_p0, s6)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[32707, 33392, 24006, 13267, 55, 5949, 13435, 5670, 14207, 18317])).
% 51.53/34.15 tff(33394,plain,
% 51.53/34.15 (m_processor_v_abort(c_p0, s5)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[32103, 33393, 32682, 1, 143, 13729, 25493, 25494, 1060, 21276])).
% 51.53/34.15 tff(33395,plain,
% 51.53/34.15 (node46(c_p0, s5, s6)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[32108, 33394])).
% 51.53/34.15 tff(33396,plain,
% 51.53/34.15 ($false),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[32115, 11708, 21276, 33393, 33395])).
% 51.53/34.15 tff(33397,plain,((~m_processor_v_waiting(c_p0, s5)) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s6, c_invalid) | (~m_memory_v_cmd(c_m, s5, c_idle)) | (~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_abort(c_p1, s7) | (~m_memory_v_cmd(c_m, s7, c_idle)) | m_processor_v_master(c_p0, s7) | node67(s9) | (~m_processor_v_state(c_p1, s7, c_owned)) | node67(s4) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_memory_v_cmd(c_m, s6, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.53/34.15 tff(33398,plain,
% 51.53/34.15 (~m_processor_v_waiting(c_p0, s5)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[33397, 33389, 143, 1, 1060, 24006, 13267, 55, 5949, 13435, 33383, 14157, 18317])).
% 51.53/34.15 tff(33399,plain,
% 51.53/34.15 (~m_processor_v_cmd(c_p1, s4, c_idle)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[30265, 33398, 33381, 19457, 22927, 30244, 19867])).
% 51.53/34.15 tff(33400,plain,
% 51.53/34.15 (m_processor_v_master(c_p1, s4)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[1517, 33399])).
% 51.53/34.15 tff(33401,plain,
% 51.53/34.15 (~node16(s4)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[12622, 33400])).
% 51.53/34.15 tff(33402,plain,
% 51.53/34.15 (~m_processor_v_master(c_p2, s4)),
% 51.53/34.15 inference(unit_resolution,[status(thm)],[1550, 33401])).
% 51.53/34.15 tff(33403,plain,
% 51.54/34.15 (m_processor_v_cmd(c_p2, s4, c_idle)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[1582, 33402])).
% 51.54/34.15 tff(33404,plain,
% 51.54/34.15 (~m_processor_v_master(c_p0, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[1437, 33400])).
% 51.54/34.15 tff(33405,plain,
% 51.54/34.15 (m_processor_v_cmd(c_p0, s4, c_idle)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[12616, 33404])).
% 51.54/34.15 tff(33406,plain,
% 51.54/34.15 (~node48(c_p0, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[17697, 11562, 33404])).
% 51.54/34.15 tff(33407,plain,
% 51.54/34.15 (m_processor_v_state(c_p1, s3, c_owned)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[33112, 6657, 5949, 55, 18317, 13406, 13405, 18174, 24006, 13267, 13435])).
% 51.54/34.15 tff(33408,plain,
% 51.54/34.15 (~m_processor_v_state(c_p1, s3, c_invalid)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[2620, 137, 33407])).
% 51.54/34.15 tff(33409,plain,
% 51.54/34.15 (~m_processor_v_waiting(c_p1, s5)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[33291, 33389, 5949, 33408, 55, 18317, 13406, 24006, 13267, 13435, 13405, 18174, 33383, 1060])).
% 51.54/34.15 tff(33410,plain,
% 51.54/34.15 (~m_processor_v_state(c_p1, s4, c_invalid)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[30161, 33409, 6657, 32682])).
% 51.54/34.15 tff(33411,plain,
% 51.54/34.15 (m_processor_v_state(c_p1, s4, c_owned)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[6848, 33410, 6657])).
% 51.54/34.15 tff(33412,plain,
% 51.54/34.15 (m_processor_v_cmd(c_p1, s4, c_write_h_invalid)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[30428, 33400, 30421, 30242, 33411])).
% 51.54/34.15 tff(33413,plain,
% 51.54/34.15 (~node46(c_p0, s4, s5)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[30392, 33398, 19457])).
% 51.54/34.15 tff(33414,plain,
% 51.54/34.15 (~m_processor_v_abort(c_p0, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[23310, 33413])).
% 51.54/34.15 tff(33415,plain,
% 51.54/34.15 (~node52(c_p0, s4, s5)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[21695, 33398, 19457])).
% 51.54/34.15 tff(33416,plain,
% 51.54/34.15 (~node47(c_p0, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[17643, 12108, 33404])).
% 51.54/34.15 tff(33417,plain,
% 51.54/34.15 (~node10(s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[30419, 33416, 33415, 33414, 33412, 33406])).
% 51.54/34.15 tff(33418,plain,
% 51.54/34.15 (node9(s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[12714, 33417, 30244, 33405, 33403])).
% 51.54/34.15 tff(33419,plain,
% 51.54/34.15 ($false),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[12703, 3443, 33399, 33418])).
% 51.54/34.15 tff(33420,plain,(m_memory_v_busy(c_m, s4) | (~m_processor_v_snoop(c_p1, s4, c_invalid)) | (~m_processor_v_waiting(c_p0, s4)) | m_processor_v_snoop(c_p0, s4, c_shared) | m_processor_v_snoop(c_p0, s4, c_owned) | m_processor_v_state(c_p1, s6, c_invalid) | m_processor_v_state(c_p1, s6, c_shared) | (~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_abort(c_p1, s7) | (~m_memory_v_cmd(c_m, s7, c_idle)) | m_processor_v_master(c_p0, s7) | node67(s9) | (~m_processor_v_state(c_p1, s7, c_owned)) | (~m_memory_v_cmd(c_m, s6, c_idle)) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_abort(c_p1, s6) | m_processor_v_master(c_p1, s6) | m_processor_v_waiting(c_p1, s7)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.15 tff(33421,plain,
% 51.54/34.15 (~m_processor_v_waiting(c_p0, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[33420, 33380, 33376, 33363, 33362, 143, 1, 33212, 24006, 32833, 55, 5949, 13435, 32818, 6657, 13406, 13405, 18174])).
% 51.54/34.15 tff(33422,plain,
% 51.54/34.15 (~m_processor_v_waiting(c_p0, s3)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[30912, 33421, 33359, 33358, 33357, 33353, 33349])).
% 51.54/34.15 tff(33423,plain,
% 51.54/34.15 (~m_processor_v_state(c_p0, s2, c_invalid)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[23240, 33422, 33113, 33313, 33316, 33312])).
% 51.54/34.15 tff(33424,plain,
% 51.54/34.15 (m_processor_v_state(c_p1, s2, c_invalid)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[5074, 33423])).
% 51.54/34.15 tff(33425,plain,
% 51.54/34.15 (m_processor_v_waiting(c_p1, s3)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[29201, 33424, 33113])).
% 51.54/34.15 tff(33426,assumption,(~node50(c_p1, s3)), introduced(assumption)).
% 51.54/34.15 tff(33427,assumption,(~node51(c_p1, s3)), introduced(assumption)).
% 51.54/34.15 tff(33428,assumption,(~node49(c_p1, s3)), introduced(assumption)).
% 51.54/34.15 tff(33429,plain,
% 51.54/34.15 (m_processor_v_abort(c_p1, s3)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[12166, 12126, 12137, 12136, 33428, 33427, 33426])).
% 51.54/34.15 tff(33430,plain,
% 51.54/34.15 ($false),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[12063, 33429, 12056])).
% 51.54/34.15 tff(33431,plain,((~m_processor_v_waiting(c_p1, s3)) | node48(c_p1, s3) | node47(c_p1, s3) | node49(c_p1, s3) | node51(c_p1, s3) | node50(c_p1, s3) | m_processor_v_waiting(c_p1, s4)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.15 tff(33432,plain,
% 51.54/34.15 (m_processor_v_waiting(c_p1, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[33431, 33425, 33345, 33344, 33343, 33339, 33311])).
% 51.54/34.15 tff(33433,plain,
% 51.54/34.15 (~node5(s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[31467, 33241, 32682, 6657])).
% 51.54/34.15 tff(33434,plain,
% 51.54/34.15 (m_main_v_REPLY_h_OWNED(s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[31474, 33433])).
% 51.54/34.15 tff(33435,plain,
% 51.54/34.15 (m_memory_v_REPLY_h_OWNED(c_m, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[31481, 33434])).
% 51.54/34.15 tff(33436,plain,
% 51.54/34.15 (~m_memory_v_busy(c_m, s5)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[31813, 33380, 33435])).
% 51.54/34.15 tff(33437,plain,
% 51.54/34.15 (~node29(c_m, s5)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[29294, 33436])).
% 51.54/34.15 tff(33438,plain,
% 51.54/34.15 (m_memory_v_cmd(c_m, s5, c_idle)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[7144, 33437])).
% 51.54/34.15 tff(33439,plain,
% 51.54/34.15 (~node29(c_m, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[2077, 33380])).
% 51.54/34.15 tff(33440,plain,
% 51.54/34.15 (m_memory_v_cmd(c_m, s4, c_idle)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[1325, 33439])).
% 51.54/34.15 tff(33441,plain,
% 51.54/34.15 (m_processor_v_waiting(c_p1, s5)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[30561, 33241, 33440, 33361, 32977, 32976, 6657, 33432])).
% 51.54/34.15 tff(33442,plain,
% 51.54/34.15 (node67(s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[33291, 33441, 5949, 33254, 55, 32818, 13406, 24006, 32833, 13435, 13405, 18174, 33438, 33212])).
% 51.54/34.15 tff(33443,plain,
% 51.54/34.15 (m_processor_v_writable(c_p1, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[6565, 33442])).
% 51.54/34.15 tff(33444,plain,
% 51.54/34.15 (node56(c_p1, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[6573, 33443])).
% 51.54/34.15 tff(33445,plain,
% 51.54/34.15 ($false),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[6603, 540, 33444, 33432])).
% 51.54/34.15 tff(33446,plain,(m_processor_v_state(c_p1, s4, c_shared) | node67(s9) | m_processor_v_master(c_p0, s7) | m_processor_v_abort(c_p1, s6) | m_processor_v_abort(c_p1, s7) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_master(c_p1, s6) | m_processor_v_waiting(c_p1, s7) | m_processor_v_state(c_p1, s6, c_invalid) | m_processor_v_state(c_p1, s6, c_shared) | m_memory_v_busy(c_m, s6)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.15 tff(33447,plain,
% 51.54/34.15 (m_processor_v_abort(c_p1, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[33446, 32820, 32439, 55, 5949, 32811, 32810, 6657, 32728, 1, 18288])).
% 51.54/34.15 tff(33448,plain,
% 51.54/34.15 (~node60(c_p0, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[32714, 33447])).
% 51.54/34.15 tff(33449,plain,
% 51.54/34.15 (m_processor_v_abort(c_p0, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[15422, 33448])).
% 51.54/34.15 tff(33450,plain,
% 51.54/34.15 (node46(c_p0, s7, s8)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[23457, 33449])).
% 51.54/34.15 tff(33451,plain,
% 51.54/34.15 (~m_processor_v_waiting(c_p0, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[23449, 33450, 23439])).
% 51.54/34.15 tff(33452,plain,
% 51.54/34.15 (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18342, 32822])).
% 51.54/34.15 tff(33453,plain,
% 51.54/34.15 (~node48(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[19050, 33452])).
% 51.54/34.15 tff(33454,plain,
% 51.54/34.15 ($false),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18735, 33453, 33451, 32374, 32373, 32825, 32820, 32441, 32824, 32818, 32816, 32815])).
% 51.54/34.15 tff(33455,plain,((~node67(s8)) | m_processor_v_master(c_p0, s7) | node67(s9) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s6, c_shared) | m_memory_v_busy(c_m, s6) | (~m_processor_v_waiting(c_p1, s6)) | (~m_memory_v_cmd(c_m, s7, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.54/34.15 tff(33456,plain,
% 51.54/34.15 (~node67(s8)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[33455, 32807, 5949, 6657, 1, 18288, 32791, 55])).
% 51.54/34.15 tff(33457,plain,
% 51.54/34.15 (node67(s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[6554, 33456, 29571, 31386, 5949, 5668])).
% 51.54/34.15 tff(33458,plain,
% 51.54/34.15 (m_processor_v_writable(c_p1, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[12530, 33457])).
% 51.54/34.15 tff(33459,plain,
% 51.54/34.15 (node56(c_p1, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[12523, 33458])).
% 51.54/34.15 tff(33460,plain,
% 51.54/34.15 (~m_processor_v_waiting(c_p1, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18172, 540, 33459])).
% 51.54/34.15 tff(33461,plain,
% 51.54/34.15 (~m_processor_v_master(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[25475, 33460, 32793, 32440, 32733])).
% 51.54/34.15 tff(33462,plain,
% 51.54/34.15 (m_processor_v_cmd(c_p1, s6, c_idle)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[14156, 33461])).
% 51.54/34.15 tff(33463,plain,
% 51.54/34.15 (m_processor_v_master(c_p1, s6) | m_processor_v_reply_h_waiting(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[14167, 2296, 32791])).
% 51.54/34.15 tff(33464,plain,
% 51.54/34.15 (m_processor_v_reply_h_waiting(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[33463, 33461])).
% 51.54/34.15 tff(33465,plain,
% 51.54/34.15 (~node6(s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[14176, 33464])).
% 51.54/34.15 tff(33466,plain,
% 51.54/34.15 (m_main_v_REPLY_h_WAITING(s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[14184, 33465])).
% 51.54/34.15 tff(33467,plain,
% 51.54/34.15 (m_processor_v_REPLY_h_WAITING(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18192, 33466])).
% 51.54/34.15 tff(33468,plain,
% 51.54/34.15 (~node46(c_p1, s6, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[29683, 33460, 32791])).
% 51.54/34.15 tff(33469,plain,
% 51.54/34.15 (~m_processor_v_abort(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18740, 33468])).
% 51.54/34.15 tff(33470,plain,
% 51.54/34.15 (node60(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18324, 33469])).
% 51.54/34.15 tff(33471,plain,
% 51.54/34.15 (node59(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18335, 33467, 33470])).
% 51.54/34.15 tff(33472,plain,
% 51.54/34.15 (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18369, 33471])).
% 51.54/34.15 tff(33473,plain,
% 51.54/34.15 (~node47(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[19020, 33472])).
% 51.54/34.15 tff(33474,plain,
% 51.54/34.15 (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18342, 33471])).
% 51.54/34.15 tff(33475,plain,
% 51.54/34.15 (~node48(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[19050, 33474])).
% 51.54/34.15 tff(33476,plain,
% 51.54/34.15 (~m_memory_v_busy(c_m, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[25438, 18288, 32596])).
% 51.54/34.15 tff(33477,plain,
% 51.54/34.15 (~node29(c_m, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[24392, 33476])).
% 51.54/34.15 tff(33478,plain,
% 51.54/34.15 (m_memory_v_cmd(c_m, s7, c_idle)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[13225, 33477])).
% 51.54/34.15 tff(33479,plain,
% 51.54/34.15 (~node52(c_p1, s6, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18307, 18173, 533])).
% 51.54/34.15 tff(33480,plain,
% 51.54/34.15 (~node46(c_p1, s6, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[29683, 18173, 533])).
% 51.54/34.15 tff(33481,plain,
% 51.54/34.15 (~m_processor_v_abort(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18740, 33480])).
% 51.54/34.15 tff(33482,plain,
% 51.54/34.15 ($false),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18735, 33481, 33479, 32374, 32373, 14207, 18698, 32441, 18699, 18317, 18164, 18318])).
% 51.54/34.15 tff(33483,plain,((~node67(s7)) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | node48(c_p1, s6) | node47(c_p1, s6) | (~m_memory_v_cmd(c_m, s6, c_idle)) | (~m_processor_v_REPLY_h_WAITING(c_p1, s6)) | (~m_processor_v_waiting(c_p1, s6))), inference(lemma,lemma(discharge,[]))).
% 51.54/34.15 tff(33484,plain,
% 51.54/34.15 (~node67(s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[33483, 32818, 18698, 18699, 14207, 18318, 533])).
% 51.54/34.15 tff(33485,plain,
% 51.54/34.15 (node67(s8)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[6554, 33484, 29571, 31386, 5949, 5668])).
% 51.54/34.15 tff(33486,plain,
% 51.54/34.15 (m_processor_v_writable(c_p1, s8)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[5697, 33485])).
% 51.54/34.15 tff(33487,plain,
% 51.54/34.15 (node56(c_p1, s8)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[5686, 33486])).
% 51.54/34.15 tff(33488,plain,
% 51.54/34.15 (~m_processor_v_waiting(c_p1, s8)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[13159, 33487])).
% 51.54/34.15 tff(33489,plain,
% 51.54/34.15 (~m_processor_v_waiting(c_p1, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[26121, 33488, 32439, 13266, 33478])).
% 51.54/34.15 tff(33490,plain,
% 51.54/34.15 (~node52(c_p1, s6, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18307, 33489, 533])).
% 51.54/34.15 tff(33491,plain,
% 51.54/34.15 (~node46(c_p1, s6, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[29683, 33489, 533])).
% 51.54/34.15 tff(33492,plain,
% 51.54/34.15 (~m_processor_v_abort(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18740, 33491])).
% 51.54/34.15 tff(33493,plain,
% 51.54/34.15 ($false),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[29809, 33492, 33490, 2, 2318, 18318, 32441, 18699, 18698, 32818, 14207])).
% 51.54/34.15 tff(33494,plain,(m_memory_v_busy(c_m, s6) | m_processor_v_waiting(c_p0, s6) | m_processor_v_master(c_p0, s6) | (~m_processor_v_REPLY_h_WAITING(c_p1, s6)) | node47(c_p1, s6) | node48(c_p1, s6) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_processor_v_waiting(c_p1, s6)) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | node67(s9) | node67(s6)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.15 tff(33495,plain,
% 51.54/34.15 ($false),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[33494, 33475, 33473, 18288, 2, 2318, 33467, 33462, 32791, 23598, 5949, 5668])).
% 51.54/34.15 tff(33496,plain,(m_processor_v_master(c_p0, s6) | m_memory_v_busy(c_m, s6) | m_processor_v_waiting(c_p0, s6) | node67(s9) | node67(s6) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_master(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.15 tff(33497,plain,
% 51.54/34.15 (m_processor_v_master(c_p0, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[33496, 32804, 2, 5949, 5668, 32794, 1, 55])).
% 51.54/34.15 tff(33498,plain,
% 51.54/34.15 (~m_processor_v_master(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[16318, 33497])).
% 51.54/34.15 tff(33499,plain,
% 51.54/34.15 (m_processor_v_reply_h_waiting(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[33463, 33498])).
% 51.54/34.15 tff(33500,plain,
% 51.54/34.15 (~node6(s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[14176, 33499])).
% 51.54/34.15 tff(33501,plain,
% 51.54/34.15 (m_main_v_REPLY_h_WAITING(s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[14184, 33500])).
% 51.54/34.15 tff(33502,plain,
% 51.54/34.15 (m_processor_v_REPLY_h_WAITING(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18192, 33501])).
% 51.54/34.15 tff(33503,plain,
% 51.54/34.15 (m_processor_v_cmd(c_p1, s6, c_idle)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[14156, 33498])).
% 51.54/34.15 tff(33504,plain,
% 51.54/34.15 (m_processor_v_reply_h_owned(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[24236, 33498, 32734])).
% 51.54/34.15 tff(33505,plain,
% 51.54/34.15 (~node5(s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[24244, 33504])).
% 51.54/34.15 tff(33506,plain,
% 51.54/34.15 (m_main_v_REPLY_h_OWNED(s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[24252, 33505])).
% 51.54/34.15 tff(33507,plain,
% 51.54/34.15 (m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[24260, 33506])).
% 51.54/34.15 tff(33508,plain,
% 51.54/34.15 (~m_memory_v_busy(c_m, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[25438, 33507, 32804])).
% 51.54/34.15 tff(33509,plain,
% 51.54/34.15 (~node29(c_m, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[24392, 33508])).
% 51.54/34.15 tff(33510,plain,
% 51.54/34.15 (m_memory_v_cmd(c_m, s7, c_idle)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[13225, 33509])).
% 51.54/34.15 tff(33511,plain,
% 51.54/34.15 (~node67(s8)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[33455, 33510, 5949, 32794, 1, 32804, 32791, 55])).
% 51.54/34.15 tff(33512,plain,
% 51.54/34.15 (node67(s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[6554, 33511, 29571, 31386, 5949, 5668])).
% 51.54/34.15 tff(33513,plain,
% 51.54/34.15 (~node29(c_m, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18296, 32804])).
% 51.54/34.15 tff(33514,plain,
% 51.54/34.15 (m_memory_v_cmd(c_m, s6, c_idle)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[14285, 33513])).
% 51.54/34.15 tff(33515,plain,
% 51.54/34.15 (~node48(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18311, 11562, 33498])).
% 51.54/34.15 tff(33516,plain,
% 51.54/34.15 (~node47(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18315, 12108, 33498])).
% 51.54/34.15 tff(33517,plain,
% 51.54/34.15 ($false),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[33483, 33516, 33515, 33514, 33512, 33503, 33502, 32791])).
% 51.54/34.15 tff(33518,plain,(m_processor_v_master(c_p1, s4) | node67(s9) | node67(s6) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_master(c_p0, s7) | m_processor_v_waiting(c_p0, s6)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.15 tff(33519,plain,
% 51.54/34.15 (m_processor_v_master(c_p1, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[33518, 2, 5668, 1, 55, 5949])).
% 51.54/34.15 tff(33520,plain,
% 51.54/34.15 (~m_processor_v_master(c_p0, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[1437, 33519])).
% 51.54/34.15 tff(33521,plain,
% 51.54/34.15 (m_processor_v_reply_h_owned(c_p0, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[31461, 33520, 32790])).
% 51.54/34.15 tff(33522,plain,
% 51.54/34.15 (~node5(s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[31465, 10185, 33521])).
% 51.54/34.15 tff(33523,plain,
% 51.54/34.15 (m_main_v_REPLY_h_OWNED(s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[31474, 33522])).
% 51.54/34.15 tff(33524,plain,
% 51.54/34.15 (m_memory_v_REPLY_h_OWNED(c_m, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[31481, 33523])).
% 51.54/34.15 tff(33525,plain,
% 51.54/34.15 (~m_memory_v_busy(c_m, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[32556, 6657, 32790])).
% 51.54/34.15 tff(33526,plain,
% 51.54/34.15 (~m_memory_v_busy(c_m, s5)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[31813, 33525, 33524])).
% 51.54/34.15 tff(33527,plain,
% 51.54/34.15 (~m_memory_v_busy(c_m, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[29393, 33526, 32517])).
% 51.54/34.15 tff(33528,plain,
% 51.54/34.15 (m_processor_v_master(c_p0, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[33496, 33527, 2, 5949, 5668, 6657, 1, 55])).
% 51.54/34.15 tff(33529,plain,
% 51.54/34.15 (~m_processor_v_master(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[16318, 33528])).
% 51.54/34.15 tff(33530,plain,
% 51.54/34.15 (m_processor_v_reply_h_waiting(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[33463, 33529])).
% 51.54/34.15 tff(33531,plain,
% 51.54/34.15 (~node6(s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[14176, 33530])).
% 51.54/34.15 tff(33532,plain,
% 51.54/34.15 (m_main_v_REPLY_h_WAITING(s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[14184, 33531])).
% 51.54/34.15 tff(33533,plain,
% 51.54/34.15 (m_processor_v_REPLY_h_WAITING(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18192, 33532])).
% 51.54/34.15 tff(33534,plain,
% 51.54/34.15 (m_processor_v_cmd(c_p1, s6, c_idle)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[14156, 33529])).
% 51.54/34.15 tff(33535,plain,
% 51.54/34.15 (m_processor_v_reply_h_owned(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[24236, 33529, 32734])).
% 51.54/34.15 tff(33536,plain,
% 51.54/34.15 (~node5(s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[24244, 33535])).
% 51.54/34.15 tff(33537,plain,
% 51.54/34.15 (m_main_v_REPLY_h_OWNED(s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[24252, 33536])).
% 51.54/34.15 tff(33538,plain,
% 51.54/34.15 (m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[24260, 33537])).
% 51.54/34.15 tff(33539,plain,
% 51.54/34.15 (~m_memory_v_busy(c_m, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[25438, 33538, 33527])).
% 51.54/34.15 tff(33540,plain,
% 51.54/34.15 (~node29(c_m, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[24392, 33539])).
% 51.54/34.15 tff(33541,plain,
% 51.54/34.15 (m_memory_v_cmd(c_m, s7, c_idle)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[13225, 33540])).
% 51.54/34.15 tff(33542,plain,
% 51.54/34.15 (~node67(s8)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[33455, 33541, 5949, 6657, 1, 33527, 32791, 55])).
% 51.54/34.15 tff(33543,plain,
% 51.54/34.15 (node67(s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[6554, 33542, 29571, 31386, 5949, 5668])).
% 51.54/34.15 tff(33544,plain,
% 51.54/34.15 (~node29(c_m, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18296, 33527])).
% 51.54/34.15 tff(33545,plain,
% 51.54/34.15 (m_memory_v_cmd(c_m, s6, c_idle)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[14285, 33544])).
% 51.54/34.15 tff(33546,plain,
% 51.54/34.15 (~node48(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18311, 11562, 33529])).
% 51.54/34.15 tff(33547,plain,
% 51.54/34.15 (~node47(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18315, 12108, 33529])).
% 51.54/34.15 tff(33548,plain,
% 51.54/34.15 ($false),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[33483, 33547, 33546, 33545, 33543, 33534, 33533, 32791])).
% 51.54/34.15 tff(33549,plain,(m_processor_v_state(c_p1, s4, c_shared) | node67(s9) | node67(s6) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_master(c_p0, s7) | m_processor_v_waiting(c_p0, s6)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.15 tff(33550,plain,
% 51.54/34.15 (m_processor_v_state(c_p1, s4, c_shared)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[33549, 2, 5668, 1, 55, 5949])).
% 51.54/34.15 tff(33551,plain,
% 51.54/34.15 (~node32(c_p1, s4, s5)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[19139, 33550, 31437])).
% 51.54/34.15 tff(33552,plain,
% 51.54/34.15 (~m_processor_v_abort(c_p1, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[6859, 33551])).
% 51.54/34.15 tff(33553,plain,
% 51.54/34.15 (node60(c_p1, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[1430, 33552])).
% 51.54/34.15 tff(33554,plain,
% 51.54/34.15 (~m_processor_v_REPLY_h_STALL(c_p1, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[1702, 33553])).
% 51.54/34.15 tff(33555,plain,
% 51.54/34.15 (~m_main_v_REPLY_h_STALL(s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[1718, 33554])).
% 51.54/34.15 tff(33556,plain,
% 51.54/34.15 (node7(s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[12555, 33555])).
% 51.54/34.15 tff(33557,plain,
% 51.54/34.15 (~m_memory_v_reply_h_stall(c_m, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[12559, 3923, 33556])).
% 51.54/34.15 tff(33558,plain,
% 51.54/34.15 (node34(c_p1, s4, s5)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[17176, 33552, 33519])).
% 51.54/34.15 tff(33559,plain,
% 51.54/34.15 (~node33(c_p1, s4, s5)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[19285, 399, 33550, 31437])).
% 51.54/34.15 tff(33560,plain,
% 51.54/34.15 (m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[19236, 33559, 32155, 31437, 33558])).
% 51.54/34.15 tff(33561,plain,
% 51.54/34.15 (m_main_v_CMD(s4, c_read_h_owned)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[2280, 33560])).
% 51.54/34.15 tff(33562,plain,
% 51.54/34.15 (m_memory_v_CMD(c_m, s4, c_read_h_owned)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[28372, 4207, 12584, 33561])).
% 51.54/34.15 tff(33563,plain,
% 51.54/34.15 (~node30(c_m, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[31834, 5042, 33562])).
% 51.54/34.15 tff(33564,plain,
% 51.54/34.15 (~m_memory_v_busy(c_m, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[12569, 33563, 33557])).
% 51.54/34.15 tff(33565,plain,
% 51.54/34.15 (~m_memory_v_busy(c_m, s5)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[31813, 33564, 33524])).
% 51.54/34.15 tff(33566,plain,
% 51.54/34.15 (~m_memory_v_busy(c_m, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[29393, 33565, 32517])).
% 51.54/34.15 tff(33567,plain,
% 51.54/34.15 (m_processor_v_waiting(c_p1, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[25475, 16313, 674, 32440, 32733])).
% 51.54/34.15 tff(33568,plain,
% 51.54/34.15 (m_processor_v_reply_h_owned(c_p0, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[32592, 18760])).
% 51.54/34.15 tff(33569,plain,
% 51.54/34.15 (~node5(s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[25489, 33568])).
% 51.54/34.15 tff(33570,plain,
% 51.54/34.15 (m_main_v_REPLY_h_OWNED(s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[24252, 33569])).
% 51.54/34.15 tff(33571,plain,
% 51.54/34.15 (m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[24260, 33570])).
% 51.54/34.15 tff(33572,plain,
% 51.54/34.15 (~m_memory_v_busy(c_m, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[25438, 33571, 18288])).
% 51.54/34.15 tff(33573,plain,
% 51.54/34.15 (~node29(c_m, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[24392, 33572])).
% 51.54/34.15 tff(33574,plain,
% 51.54/34.15 (m_memory_v_cmd(c_m, s7, c_idle)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[13225, 33573])).
% 51.54/34.15 tff(33575,plain,
% 51.54/34.15 (m_processor_v_waiting(c_p1, s8)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[26121, 33574, 32439, 13266, 33567])).
% 51.54/34.15 tff(33576,plain,
% 51.54/34.15 (~node56(c_p1, s8)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[13159, 33575])).
% 51.54/34.15 tff(33577,plain,
% 51.54/34.15 (~m_processor_v_writable(c_p1, s8)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[5686, 33576])).
% 51.54/34.15 tff(33578,plain,
% 51.54/34.15 (~node67(s8)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[5697, 33577])).
% 51.54/34.15 tff(33579,plain,
% 51.54/34.15 (node67(s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[6554, 33578, 29571, 31386, 5949, 5668])).
% 51.54/34.15 tff(33580,plain,
% 51.54/34.15 (m_processor_v_writable(c_p1, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[12530, 33579])).
% 51.54/34.15 tff(33581,plain,
% 51.54/34.15 (node56(c_p1, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[12523, 33580])).
% 51.54/34.15 tff(33582,plain,
% 51.54/34.15 ($false),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18172, 540, 33581, 33567])).
% 51.54/34.15 tff(33583,plain,((~m_processor_v_master(c_p1, s6)) | node67(s9) | node67(s6) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | m_memory_v_busy(c_m, s6) | m_processor_v_writable(c_p1, s6)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.15 tff(33584,plain,
% 51.54/34.15 (~m_processor_v_master(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[33583, 33566, 5668, 23598, 5949, 32793])).
% 51.54/34.15 tff(33585,plain,
% 51.54/34.15 (m_processor_v_reply_h_waiting(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[33463, 33584])).
% 51.54/34.15 tff(33586,plain,
% 51.54/34.15 (~node6(s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[14176, 33585])).
% 51.54/34.15 tff(33587,plain,
% 51.54/34.15 (m_main_v_REPLY_h_WAITING(s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[14184, 33586])).
% 51.54/34.15 tff(33588,plain,
% 51.54/34.15 (m_processor_v_REPLY_h_WAITING(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18192, 33587])).
% 51.54/34.15 tff(33589,plain,
% 51.54/34.15 (~node48(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18311, 11562, 33584])).
% 51.54/34.15 tff(33590,plain,
% 51.54/34.15 (m_processor_v_cmd(c_p1, s6, c_idle)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[14156, 33584])).
% 51.54/34.15 tff(33591,plain,
% 51.54/34.15 (~node29(c_m, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18296, 33566])).
% 51.54/34.15 tff(33592,plain,
% 51.54/34.15 (m_memory_v_cmd(c_m, s6, c_idle)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[14285, 33591])).
% 51.54/34.15 tff(33593,plain,
% 51.54/34.15 (~node47(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18315, 12108, 33584])).
% 51.54/34.15 tff(33594,plain,
% 51.54/34.15 (~node67(s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[33483, 33593, 33592, 33590, 33589, 33588, 32791])).
% 51.54/34.15 tff(33595,plain,
% 51.54/34.15 (node67(s8)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[6554, 33594, 29571, 31386, 5949, 5668])).
% 51.54/34.15 tff(33596,plain,
% 51.54/34.15 (m_processor_v_writable(c_p0, s8)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[12500, 33595])).
% 51.54/34.15 tff(33597,plain,
% 51.54/34.15 (node56(c_p0, s8)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[12508, 33596])).
% 51.54/34.15 tff(33598,plain,
% 51.54/34.15 (~m_processor_v_waiting(c_p0, s8)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[14420, 33597])).
% 51.54/34.15 tff(33599,plain,
% 51.54/34.15 (m_processor_v_reply_h_owned(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[24236, 33584, 32734])).
% 51.54/34.15 tff(33600,plain,
% 51.54/34.15 (~node5(s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[24244, 33599])).
% 51.54/34.15 tff(33601,plain,
% 51.54/34.15 (m_main_v_REPLY_h_OWNED(s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[24252, 33600])).
% 51.54/34.15 tff(33602,plain,
% 51.54/34.15 (m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[24260, 33601])).
% 51.54/34.15 tff(33603,plain,
% 51.54/34.15 (~m_memory_v_busy(c_m, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[25438, 33602, 33566])).
% 51.54/34.15 tff(33604,plain,
% 51.54/34.15 (~node29(c_m, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[24392, 33603])).
% 51.54/34.15 tff(33605,plain,
% 51.54/34.15 (m_memory_v_cmd(c_m, s7, c_idle)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[13225, 33604])).
% 51.54/34.15 tff(33606,plain,
% 51.54/34.15 (m_processor_v_writable(c_p1, s8)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[5697, 33595])).
% 51.54/34.15 tff(33607,plain,
% 51.54/34.15 (node56(c_p1, s8)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[5686, 33606])).
% 51.54/34.15 tff(33608,plain,
% 51.54/34.15 (~m_processor_v_waiting(c_p1, s8)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[13159, 33607])).
% 51.54/34.15 tff(33609,plain,
% 51.54/34.15 (~m_processor_v_waiting(c_p1, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[26121, 33608, 32439, 23598, 33605])).
% 51.54/34.15 tff(33610,plain,
% 51.54/34.15 (~node52(c_p1, s6, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18307, 33609, 32791])).
% 51.54/34.15 tff(33611,plain,
% 51.54/34.15 (~node46(c_p1, s6, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[29683, 33609, 32791])).
% 51.54/34.15 tff(33612,plain,
% 51.54/34.15 (~m_processor_v_abort(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18740, 33611])).
% 51.54/34.15 tff(33613,plain,
% 51.54/34.15 (m_processor_v_waiting(c_p0, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18735, 33612, 32374, 32373, 33593, 33589, 32441, 33590, 33592, 33610, 33588])).
% 51.54/34.15 tff(33614,plain,
% 51.54/34.15 (~node46(c_p0, s7, s8)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[23449, 33613, 33598])).
% 51.54/34.15 tff(33615,plain,
% 51.54/34.15 (m_processor_v_state(c_p1, s4, c_shared)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[33446, 24006, 55, 13406, 5949, 13435, 13405, 18174, 143, 1, 18288])).
% 51.54/34.15 tff(33616,plain,
% 51.54/34.15 (m_processor_v_waiting(c_p1, s5)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[30149, 33615, 32977, 32976])).
% 51.54/34.15 tff(33617,plain,
% 51.54/34.15 (~node56(c_p1, s5)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[19116, 33616])).
% 51.54/34.15 tff(33618,plain,
% 51.54/34.15 (~m_processor_v_writable(c_p1, s5)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[88, 33617])).
% 51.54/34.15 tff(33619,plain,
% 51.54/34.15 (~node67(s5)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[103, 33618])).
% 51.54/34.15 tff(33620,plain,
% 51.54/34.15 (~m_processor_v_state(c_p1, s4, c_owned)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[6591, 121, 33615])).
% 51.54/34.15 tff(33621,plain,
% 51.54/34.15 (~node56(c_p1, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[6584, 33620])).
% 51.54/34.15 tff(33622,plain,
% 51.54/34.15 (~m_processor_v_writable(c_p1, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[6573, 33621])).
% 51.54/34.15 tff(33623,plain,
% 51.54/34.15 (~node67(s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[6565, 33622])).
% 51.54/34.15 tff(33624,plain,
% 51.54/34.15 (~m_processor_v_waiting(c_p0, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[32707, 33623, 24006, 32833, 55, 5949, 13435, 33619, 14157, 32818])).
% 51.54/34.15 tff(33625,plain,
% 51.54/34.15 (m_processor_v_state(c_p0, s5, c_owned)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[26669, 33624, 24976])).
% 51.54/34.15 tff(33626,plain,
% 51.54/34.15 (m_processor_v_master(c_p1, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[19185, 33615, 32977, 32976])).
% 51.54/34.15 tff(33627,plain,
% 51.54/34.15 (~m_processor_v_master(c_p0, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[1437, 33626])).
% 51.54/34.15 tff(33628,plain,
% 51.54/34.15 (m_processor_v_state(c_p0, s4, c_owned)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[1191, 33625, 33627])).
% 51.54/34.15 tff(33629,plain,
% 51.54/34.15 (m_processor_v_reply_h_owned(c_p0, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[31461, 33628, 33627])).
% 51.54/34.15 tff(33630,plain,
% 51.54/34.15 (~node5(s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[31465, 10185, 33629])).
% 51.54/34.15 tff(33631,plain,
% 51.54/34.15 (m_main_v_REPLY_h_OWNED(s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[31474, 33630])).
% 51.54/34.15 tff(33632,plain,
% 51.54/34.15 (m_memory_v_REPLY_h_OWNED(c_m, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[31481, 33631])).
% 51.54/34.15 tff(33633,plain,
% 51.54/34.15 (~node32(c_p1, s4, s5)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[19139, 33615, 32976])).
% 51.54/34.15 tff(33634,plain,
% 51.54/34.15 (~m_processor_v_abort(c_p1, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[6859, 33633])).
% 51.54/34.15 tff(33635,plain,
% 51.54/34.15 (node60(c_p1, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[1430, 33634])).
% 51.54/34.15 tff(33636,plain,
% 51.54/34.15 (~m_processor_v_REPLY_h_STALL(c_p1, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[1702, 33635])).
% 51.54/34.15 tff(33637,plain,
% 51.54/34.15 (~m_main_v_REPLY_h_STALL(s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[1718, 33636])).
% 51.54/34.15 tff(33638,plain,
% 51.54/34.15 (node7(s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[12555, 33637])).
% 51.54/34.15 tff(33639,plain,
% 51.54/34.15 (~m_memory_v_reply_h_stall(c_m, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[12559, 3923, 33638])).
% 51.54/34.15 tff(33640,plain,
% 51.54/34.15 (node34(c_p1, s4, s5)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[17176, 33626, 33634])).
% 51.54/34.15 tff(33641,plain,
% 51.54/34.15 (~node33(c_p1, s4, s5)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[19285, 399, 33615, 32976])).
% 51.54/34.15 tff(33642,plain,
% 51.54/34.15 (m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[19236, 33641, 32977, 32976, 33640])).
% 51.54/34.15 tff(33643,plain,
% 51.54/34.15 (m_main_v_CMD(s4, c_read_h_owned)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[2280, 33642])).
% 51.54/34.15 tff(33644,plain,
% 51.54/34.15 (m_memory_v_CMD(c_m, s4, c_read_h_owned)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[28372, 4207, 12584, 33643])).
% 51.54/34.15 tff(33645,plain,
% 51.54/34.15 (~node30(c_m, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[31834, 5042, 33644])).
% 51.54/34.15 tff(33646,plain,
% 51.54/34.15 (~m_memory_v_busy(c_m, s4)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[12569, 33645, 33639])).
% 51.54/34.15 tff(33647,plain,
% 51.54/34.15 (~m_memory_v_busy(c_m, s5)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[31813, 33646, 33632])).
% 51.54/34.15 tff(33648,plain,
% 51.54/34.15 (~node29(c_m, s5)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[29294, 33647])).
% 51.54/34.15 tff(33649,plain,
% 51.54/34.15 (m_memory_v_cmd(c_m, s5, c_idle)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[7144, 33648])).
% 51.54/34.15 tff(33650,plain,
% 51.54/34.15 (m_processor_v_waiting(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[31740, 33649, 25493, 25494, 33616, 33625])).
% 51.54/34.15 tff(33651,plain,
% 51.54/34.15 (m_processor_v_reply_h_waiting(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[14168, 33650])).
% 51.54/34.15 tff(33652,plain,
% 51.54/34.15 (~node6(s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[14176, 33651])).
% 51.54/34.15 tff(33653,plain,
% 51.54/34.15 (m_main_v_REPLY_h_WAITING(s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[14184, 33652])).
% 51.54/34.15 tff(33654,plain,
% 51.54/34.15 (m_processor_v_REPLY_h_WAITING(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18192, 33653])).
% 51.54/34.15 tff(33655,plain,
% 51.54/34.15 (node59(c_p1, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18335, 33654, 18325])).
% 51.54/34.15 tff(33656,plain,
% 51.54/34.15 (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18342, 33655])).
% 51.54/34.15 tff(33657,plain,
% 51.54/34.15 (~m_main_v_CMD(s6, c_read_h_owned)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[16254, 33656])).
% 51.54/34.15 tff(33658,plain,
% 51.54/34.15 (~m_processor_v_CMD(c_p0, s6, c_read_h_owned)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[16241, 33657])).
% 51.54/34.15 tff(33659,plain,
% 51.54/34.15 (~node52(c_p1, s6, s7)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18307, 33650, 18174])).
% 51.54/34.15 tff(33660,plain,
% 51.54/34.15 (m_processor_v_master(c_p0, s6)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[29809, 33654, 18316, 18312, 32818, 24976, 13406, 33624, 33659, 14157])).
% 51.54/34.15 tff(33661,plain,
% 51.54/34.15 (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18369, 33655])).
% 51.54/34.15 tff(33662,plain,
% 51.54/34.15 (~m_main_v_CMD(s6, c_read_h_shared)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18379, 33661])).
% 51.54/34.15 tff(33663,plain,
% 51.54/34.15 (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[18385, 33662])).
% 51.54/34.15 tff(33664,plain,
% 51.54/34.15 (~m_processor_v_state(c_p0, s8, c_owned)),
% 51.54/34.15 inference(unit_resolution,[status(thm)],[33274, 33663, 33660, 33658, 24976, 18363, 14157, 55])).
% 51.54/34.16 tff(33665,plain,
% 51.54/34.16 (~m_processor_v_state(c_p0, s7, c_owned)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33279, 33664, 32694, 55])).
% 51.54/34.16 tff(33666,plain,
% 51.54/34.16 (~node56(c_p0, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[2311, 33665])).
% 51.54/34.16 tff(33667,plain,
% 51.54/34.16 (~m_processor_v_writable(c_p0, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[2584, 33666])).
% 51.54/34.16 tff(33668,plain,
% 51.54/34.16 (~node56(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[545, 33650])).
% 51.54/34.16 tff(33669,plain,
% 51.54/34.16 (~m_processor_v_writable(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[672, 33668])).
% 51.54/34.16 tff(33670,plain,
% 51.54/34.16 (~node67(s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[682, 33669])).
% 51.54/34.16 tff(33671,plain,
% 51.54/34.16 (~node56(c_p0, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[14413, 33664])).
% 51.54/34.16 tff(33672,plain,
% 51.54/34.16 (~m_processor_v_writable(c_p0, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[12508, 33671])).
% 51.54/34.16 tff(33673,plain,
% 51.54/34.16 (~node67(s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[12500, 33672])).
% 51.54/34.16 tff(33674,plain,
% 51.54/34.16 (node67(s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[6554, 33673, 5949, 33623, 33619, 33670])).
% 51.54/34.16 tff(33675,plain,
% 51.54/34.16 ($false),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[2592, 33674, 33667])).
% 51.54/34.16 tff(33676,plain,(m_processor_v_abort(c_p1, s7) | node67(s9) | m_processor_v_master(c_p0, s7) | m_processor_v_abort(c_p1, s6) | m_processor_v_master(c_p1, s6) | m_processor_v_waiting(c_p1, s7) | (~m_processor_v_state(c_p1, s7, c_owned)) | m_processor_v_state(c_p1, s6, c_invalid) | m_processor_v_state(c_p1, s6, c_shared) | m_memory_v_busy(c_m, s6)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.16 tff(33677,plain,
% 51.54/34.16 (m_processor_v_abort(c_p1, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33676, 33612, 32439, 55, 5949, 33584, 33609, 32728, 1, 33566])).
% 51.54/34.16 tff(33678,plain,
% 51.54/34.16 (~node60(c_p0, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[32714, 33677])).
% 51.54/34.16 tff(33679,plain,
% 51.54/34.16 (m_processor_v_abort(c_p0, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[15422, 33678])).
% 51.54/34.16 tff(33680,plain,
% 51.54/34.16 ($false),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[23457, 33679, 33614])).
% 51.54/34.16 tff(33681,plain,(m_processor_v_waiting(c_p0, s6) | m_processor_v_master(c_p0, s7) | node67(s9) | m_processor_v_state(c_p1, s6, c_shared) | node67(s6)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.16 tff(33682,plain,
% 51.54/34.16 (m_processor_v_waiting(c_p0, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33681, 5668, 5949, 1, 55])).
% 51.54/34.16 tff(33683,plain,
% 51.54/34.16 (~m_memory_v_busy(c_m, s5)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[32560, 32789, 6657])).
% 51.54/34.16 tff(33684,plain,
% 51.54/34.16 (~m_memory_v_busy(c_m, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[29393, 33683, 32517])).
% 51.54/34.16 tff(33685,plain,
% 51.54/34.16 (~node29(c_m, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[18296, 33684])).
% 51.54/34.16 tff(33686,plain,
% 51.54/34.16 (m_memory_v_cmd(c_m, s6, c_idle)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[14285, 33685])).
% 51.54/34.16 tff(33687,plain,
% 51.54/34.16 (~m_processor_v_cmd(c_p1, s6, c_idle)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[32670, 2541, 25075, 18317])).
% 51.54/34.16 tff(33688,plain,
% 51.54/34.16 (m_processor_v_master(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[14156, 33687])).
% 51.54/34.16 tff(33689,plain,
% 51.54/34.16 (~m_processor_v_master(c_p0, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[16318, 33688])).
% 51.54/34.16 tff(33690,plain,
% 51.54/34.16 (m_processor_v_reply_h_waiting(c_p0, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[26640, 33689, 25075])).
% 51.54/34.16 tff(33691,plain,
% 51.54/34.16 (~node6(s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[26630, 33690])).
% 51.54/34.16 tff(33692,plain,
% 51.54/34.16 (~m_main_v_CMD(s6, c_read_h_shared)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[19010, 33688, 159])).
% 51.54/34.16 tff(33693,plain,
% 51.54/34.16 (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[19016, 33692])).
% 51.54/34.16 tff(33694,plain,
% 51.54/34.16 (node60(c_p0, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[14205, 32629])).
% 51.54/34.16 tff(33695,plain,
% 51.54/34.16 (~m_processor_v_REPLY_h_WAITING(c_p0, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[32745, 33694, 32733, 33688, 32440, 1, 143, 33693])).
% 51.54/34.16 tff(33696,plain,
% 51.54/34.16 (~m_main_v_REPLY_h_WAITING(s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[14192, 33695])).
% 51.54/34.16 tff(33697,plain,
% 51.54/34.16 ($false),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[14184, 33696, 33691])).
% 51.54/34.16 tff(33698,plain,(m_processor_v_waiting(c_p0, s7) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s6, c_invalid) | (~m_processor_v_waiting(c_p0, s6)) | (~m_memory_v_cmd(c_m, s6, c_idle))), inference(lemma,lemma(discharge,[]))).
% 51.54/34.16 tff(33699,plain,
% 51.54/34.16 (m_processor_v_waiting(c_p0, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33698, 33686, 32728, 33682, 1])).
% 51.54/34.16 tff(33700,plain,
% 51.54/34.16 (~node56(c_p0, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[2574, 540, 33699])).
% 51.54/34.16 tff(33701,plain,
% 51.54/34.16 (~m_processor_v_writable(c_p0, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[2584, 33700])).
% 51.54/34.16 tff(33702,plain,
% 51.54/34.16 (~node67(s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[2592, 33701])).
% 51.54/34.16 tff(33703,plain,
% 51.54/34.16 (m_processor_v_state(c_p1, s8, c_owned)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[31353, 33702, 5668, 30121, 5949])).
% 51.54/34.16 tff(33704,plain,
% 51.54/34.16 (node67(s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[6554, 33702, 29571, 31386, 5949, 5668])).
% 51.54/34.16 tff(33705,plain,
% 51.54/34.16 (m_processor_v_writable(c_p0, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[12500, 33704])).
% 51.54/34.16 tff(33706,plain,
% 51.54/34.16 (node56(c_p0, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[12508, 33705])).
% 51.54/34.16 tff(33707,plain,
% 51.54/34.16 (~m_processor_v_waiting(c_p0, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[14420, 33706])).
% 51.54/34.16 tff(33708,plain,
% 51.54/34.16 (~node46(c_p0, s7, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[23449, 33707, 33699])).
% 51.54/34.16 tff(33709,plain,
% 51.54/34.16 (~m_processor_v_abort(c_p0, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[23457, 33708])).
% 51.54/34.16 tff(33710,plain,
% 51.54/34.16 (node60(c_p0, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[15422, 33709])).
% 51.54/34.16 tff(33711,plain,
% 51.54/34.16 (~m_processor_v_abort(c_p1, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[32714, 33710])).
% 51.54/34.16 tff(33712,plain,
% 51.54/34.16 (~m_processor_v_reply_h_owned(c_p0, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[25489, 24238])).
% 51.54/34.16 tff(33713,plain,
% 51.54/34.16 (m_processor_v_master(c_p0, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[32592, 33712])).
% 51.54/34.16 tff(33714,plain,
% 51.54/34.16 (~m_processor_v_reply_h_owned(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[24244, 24238])).
% 51.54/34.16 tff(33715,plain,
% 51.54/34.16 (m_processor_v_master(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[24236, 33714, 113])).
% 51.54/34.16 tff(33716,plain,
% 51.54/34.16 ($false),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[16318, 33715, 33713])).
% 51.54/34.16 tff(33717,plain,((~node5(s6)) | (~m_processor_v_state(c_p1, s6, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.54/34.16 tff(33718,plain,
% 51.54/34.16 (~node5(s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33717, 32734])).
% 51.54/34.16 tff(33719,plain,
% 51.54/34.16 (m_main_v_REPLY_h_OWNED(s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[24252, 33718])).
% 51.54/34.16 tff(33720,plain,
% 51.54/34.16 (m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[24260, 33719])).
% 51.54/34.16 tff(33721,plain,
% 51.54/34.16 (~m_memory_v_busy(c_m, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[25438, 33684, 33720])).
% 51.54/34.16 tff(33722,plain,
% 51.54/34.16 (~node29(c_m, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[24392, 33721])).
% 51.54/34.16 tff(33723,plain,
% 51.54/34.16 (m_memory_v_cmd(c_m, s7, c_idle)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[13225, 33722])).
% 51.54/34.16 tff(33724,plain,
% 51.54/34.16 (~m_main_v_CMD(s7, c_read_h_shared)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[29412, 33723, 32439, 23598])).
% 51.54/34.16 tff(33725,plain,
% 51.54/34.16 (~m_processor_v_CMD(c_p1, s7, c_read_h_shared)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[24002, 33724])).
% 51.54/34.16 tff(33726,plain,
% 51.54/34.16 (~node47(c_p1, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[26174, 33725])).
% 51.54/34.16 tff(33727,plain,
% 51.54/34.16 (m_processor_v_writable(c_p1, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[5697, 33704])).
% 51.54/34.16 tff(33728,plain,
% 51.54/34.16 (node56(c_p1, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[5686, 33727])).
% 51.54/34.16 tff(33729,plain,
% 51.54/34.16 (~m_processor_v_waiting(c_p1, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[13159, 33728])).
% 51.54/34.16 tff(33730,plain,
% 51.54/34.16 (~node52(c_p0, s7, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[23618, 33707, 33699])).
% 51.54/34.16 tff(33731,plain,
% 51.54/34.16 (~m_processor_v_cmd(c_p1, s7, c_idle)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[23935, 33730, 23598, 33723, 33709, 23623, 23609])).
% 51.54/34.16 tff(33732,plain,
% 51.54/34.16 (m_processor_v_master(c_p1, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[14619, 33731])).
% 51.54/34.16 tff(33733,plain,
% 51.54/34.16 (~m_processor_v_CMD(c_p1, s7, c_read_h_owned)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[13393, 33732, 33729, 33726, 33711])).
% 51.54/34.16 tff(33734,plain,
% 51.54/34.16 (~m_processor_v_state(c_p1, s8, c_invalid)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[13056, 33703])).
% 51.54/34.16 tff(33735,plain,
% 51.54/34.16 (m_processor_v_state(c_p1, s8, c_shared)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[24156, 33732, 32439, 32773, 33734, 23598, 33711, 33733])).
% 51.54/34.16 tff(33736,plain,
% 51.54/34.16 ($false),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[13150, 121, 33735, 33703])).
% 51.54/34.16 tff(33737,plain,(node67(s6) | node67(s9) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_master(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.16 tff(33738,plain,
% 51.54/34.16 (node67(s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33737, 6657, 1, 5949, 55])).
% 51.54/34.16 tff(33739,plain,
% 51.54/34.16 (m_processor_v_writable(c_p0, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[51, 33738])).
% 51.54/34.16 tff(33740,plain,
% 51.54/34.16 (node56(c_p0, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33, 33739])).
% 51.54/34.16 tff(33741,plain,
% 51.54/34.16 (m_processor_v_state(c_p0, s5, c_owned)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[31431, 33740])).
% 51.54/34.16 tff(33742,plain,
% 51.54/34.16 (~m_processor_v_waiting(c_p0, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[31394, 33740])).
% 51.54/34.16 tff(33743,plain,
% 51.54/34.16 (m_processor_v_state(c_p0, s4, c_owned)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[32463, 33742, 32728, 33741, 1])).
% 51.54/34.16 tff(33744,plain,
% 51.54/34.16 (m_processor_v_writable(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[682, 33738])).
% 51.54/34.16 tff(33745,plain,
% 51.54/34.16 (node56(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[672, 33744])).
% 51.54/34.16 tff(33746,plain,
% 51.54/34.16 (~m_processor_v_waiting(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[545, 33745])).
% 51.54/34.16 tff(33747,plain,
% 51.54/34.16 ($false),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[32151, 33746, 33742, 30121, 32728, 6657, 32448, 33743, 32447, 33741, 1])).
% 51.54/34.16 tff(33748,plain,(m_processor_v_state(c_p1, s4, c_shared) | m_processor_v_state(c_p1, s6, c_shared) | node67(s9) | m_processor_v_master(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.16 tff(33749,plain,
% 51.54/34.16 (m_processor_v_state(c_p1, s4, c_shared)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33748, 1, 5949, 55])).
% 51.54/34.16 tff(33750,plain,
% 51.54/34.16 (m_processor_v_waiting(c_p1, s5)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[30149, 33749, 32155, 31437])).
% 51.54/34.16 tff(33751,plain,
% 51.54/34.16 (~node32(c_p1, s4, s5)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[19139, 33749, 31437])).
% 51.54/34.16 tff(33752,plain,
% 51.54/34.16 (~m_processor_v_abort(c_p1, s4)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[6859, 33751])).
% 51.54/34.16 tff(33753,plain,
% 51.54/34.16 (node60(c_p1, s4)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[1430, 33752])).
% 51.54/34.16 tff(33754,plain,
% 51.54/34.16 (~m_processor_v_REPLY_h_STALL(c_p1, s4)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[1702, 33753])).
% 51.54/34.16 tff(33755,plain,
% 51.54/34.16 (~m_main_v_REPLY_h_STALL(s4)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[1718, 33754])).
% 51.54/34.16 tff(33756,plain,
% 51.54/34.16 (node7(s4)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[12555, 33755])).
% 51.54/34.16 tff(33757,plain,
% 51.54/34.16 (~m_memory_v_reply_h_stall(c_m, s4)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[12559, 3923, 33756])).
% 51.54/34.16 tff(33758,plain,
% 51.54/34.16 (m_processor_v_master(c_p1, s4)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[19185, 33749, 32155, 31437])).
% 51.54/34.16 tff(33759,plain,
% 51.54/34.16 (node34(c_p1, s4, s5)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[17176, 33758, 33752])).
% 51.54/34.16 tff(33760,plain,
% 51.54/34.16 (~node33(c_p1, s4, s5)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[19285, 399, 33749, 31437])).
% 51.54/34.16 tff(33761,plain,
% 51.54/34.16 (m_processor_v_CMD(c_p1, s4, c_read_h_owned)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[19236, 33760, 32155, 31437, 33759])).
% 51.54/34.16 tff(33762,plain,
% 51.54/34.16 (m_main_v_CMD(s4, c_read_h_owned)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[2280, 33761])).
% 51.54/34.16 tff(33763,plain,
% 51.54/34.16 (m_memory_v_CMD(c_m, s4, c_read_h_owned)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[28372, 4207, 12584, 33762])).
% 51.54/34.16 tff(33764,plain,
% 51.54/34.16 (~node30(c_m, s4)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[31834, 5042, 33763])).
% 51.54/34.16 tff(33765,plain,
% 51.54/34.16 (~m_memory_v_busy(c_m, s4)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[12569, 33764, 33757])).
% 51.54/34.16 tff(33766,plain,
% 51.54/34.16 (~m_processor_v_master(c_p0, s4)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[1437, 33758])).
% 51.54/34.16 tff(33767,plain,
% 51.54/34.16 (m_processor_v_state(c_p0, s4, c_owned)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[1191, 32789, 33766])).
% 51.54/34.16 tff(33768,plain,
% 51.54/34.16 (m_processor_v_reply_h_owned(c_p0, s4)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[31461, 33767, 33766])).
% 51.54/34.16 tff(33769,plain,
% 51.54/34.16 (~node5(s4)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[31465, 10185, 33768])).
% 51.54/34.16 tff(33770,plain,
% 51.54/34.16 (m_main_v_REPLY_h_OWNED(s4)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[31474, 33769])).
% 51.54/34.16 tff(33771,plain,
% 51.54/34.16 (m_memory_v_REPLY_h_OWNED(c_m, s4)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[31481, 33770])).
% 51.54/34.16 tff(33772,plain,
% 51.54/34.16 (~m_memory_v_busy(c_m, s5)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[31813, 33771, 33765])).
% 51.54/34.16 tff(33773,plain,
% 51.54/34.16 (~node29(c_m, s5)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[29294, 33772])).
% 51.54/34.16 tff(33774,plain,
% 51.54/34.16 (m_memory_v_cmd(c_m, s5, c_idle)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[7144, 33773])).
% 51.54/34.16 tff(33775,plain,
% 51.54/34.16 (m_processor_v_waiting(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[31740, 33774, 32448, 33750, 32789, 32447])).
% 51.54/34.16 tff(33776,plain,
% 51.54/34.16 (~node56(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[545, 33775])).
% 51.54/34.16 tff(33777,plain,
% 51.54/34.16 (~m_memory_v_busy(c_m, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[29393, 33772, 32517])).
% 51.54/34.16 tff(33778,plain,
% 51.54/34.16 (m_processor_v_waiting(c_p0, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[32670, 32818, 25075, 14207])).
% 51.54/34.16 tff(33779,plain,
% 51.54/34.16 (~m_memory_v_busy(c_m, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[25438, 18288, 24283])).
% 51.54/34.16 tff(33780,plain,
% 51.54/34.16 (~node29(c_m, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[24392, 33779])).
% 51.54/34.16 tff(33781,plain,
% 51.54/34.16 (m_memory_v_cmd(c_m, s7, c_idle)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[13225, 33780])).
% 51.54/34.16 tff(33782,plain,
% 51.54/34.16 (m_processor_v_abort(c_p1, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[32707, 33781, 31386, 55, 5949, 25075, 32439, 29571, 14207, 32818])).
% 51.54/34.16 tff(33783,plain,
% 51.54/34.16 (~node60(c_p0, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[32714, 33782])).
% 51.54/34.16 tff(33784,plain,
% 51.54/34.16 (m_processor_v_abort(c_p0, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[15422, 33783])).
% 51.54/34.16 tff(33785,plain,
% 51.54/34.16 (node46(c_p0, s7, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[23457, 33784])).
% 51.54/34.16 tff(33786,plain,
% 51.54/34.16 (m_processor_v_waiting(c_p0, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[23449, 33785, 33778])).
% 51.54/34.16 tff(33787,plain,
% 51.54/34.16 (~node56(c_p0, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[14420, 33786])).
% 51.54/34.16 tff(33788,plain,
% 51.54/34.16 (~m_processor_v_writable(c_p0, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[12508, 33787])).
% 51.54/34.16 tff(33789,plain,
% 51.54/34.16 (~node67(s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[12500, 33788])).
% 51.54/34.16 tff(33790,plain,
% 51.54/34.16 (node67(s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[6554, 33789, 29571, 31386, 5949, 5668])).
% 51.54/34.16 tff(33791,plain,
% 51.54/34.16 (m_processor_v_writable(c_p0, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[2592, 33790])).
% 51.54/34.16 tff(33792,plain,
% 51.54/34.16 (node56(c_p0, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[2584, 33791])).
% 51.54/34.16 tff(33793,plain,
% 51.54/34.16 ($false),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[2574, 540, 33778, 33792])).
% 51.54/34.16 tff(33794,plain,(m_memory_v_busy(c_m, s6) | node67(s9) | node67(s6) | m_processor_v_master(c_p0, s7) | (~m_processor_v_waiting(c_p0, s6)) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | (~m_memory_v_REPLY_h_OWNED(c_m, s6))), inference(lemma,lemma(discharge,[]))).
% 51.54/34.16 tff(33795,plain,
% 51.54/34.16 (~m_processor_v_cmd(c_p1, s6, c_idle)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33794, 33777, 33720, 55, 33682, 5949, 5668])).
% 51.54/34.16 tff(33796,plain,
% 51.54/34.16 (m_processor_v_master(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[14156, 33795])).
% 51.54/34.16 tff(33797,plain,
% 51.54/34.16 (m_processor_v_writable(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33583, 33796, 5668, 23598, 5949, 33777])).
% 51.54/34.16 tff(33798,plain,
% 51.54/34.16 ($false),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[672, 33797, 33776])).
% 51.54/34.16 tff(33799,plain,(node67(s6) | node67(s9) | m_processor_v_master(c_p0, s7) | m_processor_v_state(c_p1, s6, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.16 tff(33800,plain,
% 51.54/34.16 (node67(s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33799, 1, 55, 5949])).
% 51.54/34.16 tff(33801,plain,
% 51.54/34.16 (m_processor_v_writable(c_p0, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[51, 33800])).
% 51.54/34.16 tff(33802,plain,
% 51.54/34.16 (node56(c_p0, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33, 33801])).
% 51.54/34.16 tff(33803,plain,
% 51.54/34.16 (m_processor_v_state(c_p0, s5, c_owned)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[31431, 33802])).
% 51.54/34.16 tff(33804,plain,
% 51.54/34.16 (m_processor_v_writable(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[682, 33800])).
% 51.54/34.16 tff(33805,plain,
% 51.54/34.16 (node56(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[672, 33804])).
% 51.54/34.16 tff(33806,plain,
% 51.54/34.16 (~m_processor_v_waiting(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[545, 33805])).
% 51.54/34.16 tff(33807,plain,
% 51.54/34.16 (~m_processor_v_waiting(c_p0, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[31394, 33802])).
% 51.54/34.16 tff(33808,plain,
% 51.54/34.16 (m_processor_v_state(c_p0, s4, c_owned)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[32463, 33807, 32728, 33803, 1])).
% 51.54/34.16 tff(33809,plain,
% 51.54/34.16 ($false),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[32179, 33808, 33807, 32448, 32447, 32728, 1, 33806, 33803])).
% 51.54/34.16 tff(33810,plain,(m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_master(c_p0, s7) | node67(s9)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.16 tff(33811,plain,
% 51.54/34.16 (m_processor_v_state(c_p1, s6, c_shared)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33810, 5949, 55])).
% 51.54/34.16 tff(33812,plain,
% 51.54/34.16 (m_processor_v_master(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[19060, 33811, 32439])).
% 51.54/34.16 tff(33813,plain,
% 51.54/34.16 (~node62(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[18858, 32728])).
% 51.54/34.16 tff(33814,plain,
% 51.54/34.16 (~m_processor_v_state(c_p1, s6, c_owned)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[129, 114])).
% 51.54/34.16 tff(33815,plain,
% 51.54/34.16 (~node56(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[111, 33814])).
% 51.54/34.16 tff(33816,plain,
% 51.54/34.16 (~m_processor_v_writable(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[672, 33815])).
% 51.54/34.16 tff(33817,plain,
% 51.54/34.16 (~node67(s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[682, 33816])).
% 51.54/34.16 tff(33818,plain,
% 51.54/34.16 (m_processor_v_state(c_p1, s7, c_owned)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[31368, 5670, 13853, 5949, 5669, 33817])).
% 51.54/34.16 tff(33819,plain,
% 51.54/34.16 (~m_processor_v_state(c_p1, s7, c_shared)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[13520, 33818])).
% 51.54/34.16 tff(33820,plain,
% 51.54/34.16 (m_processor_v_master(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[19060, 33818, 114])).
% 51.54/34.16 tff(33821,plain,
% 51.54/34.16 (~node32(c_p1, s6, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[13531, 33819, 114])).
% 51.54/34.16 tff(33822,plain,
% 51.54/34.16 (~m_processor_v_abort(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[13472, 33821])).
% 51.54/34.16 tff(33823,plain,
% 51.54/34.16 (node34(c_p1, s6, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[25524, 33822, 33820])).
% 51.54/34.16 tff(33824,plain,
% 51.54/34.16 (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[25514, 33823, 33819])).
% 51.54/34.16 tff(33825,plain,
% 51.54/34.16 (~node47(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[19020, 33824])).
% 51.54/34.16 tff(33826,plain,
% 51.54/34.16 (m_processor_v_cmd(c_p1, s6, c_read_h_owned)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[19072, 33820, 114, 18872])).
% 51.54/34.16 tff(33827,plain,
% 51.54/34.16 (~m_processor_v_master(c_p0, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[16318, 33820])).
% 51.54/34.16 tff(33828,plain,
% 51.54/34.16 (m_processor_v_cmd(c_p0, s6, c_idle)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[18577, 33827])).
% 51.54/34.16 tff(33829,plain,
% 51.54/34.16 (~m_processor_v_cmd(c_p1, s6, c_idle)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[19092, 33826])).
% 51.54/34.16 tff(33830,plain,
% 51.54/34.16 (~node9(s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[18794, 33829])).
% 51.54/34.16 tff(33831,plain,
% 51.54/34.16 (~node16(s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[18755, 33820])).
% 51.54/34.16 tff(33832,plain,
% 51.54/34.16 (~m_processor_v_master(c_p2, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[14224, 33831])).
% 51.54/34.16 tff(33833,plain,
% 51.54/34.16 (~node62(c_p2, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[14232, 33832])).
% 51.54/34.16 tff(33834,plain,
% 51.54/34.16 (m_processor_v_cmd(c_p2, s6, c_idle)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[14269, 33832, 33833])).
% 51.54/34.16 tff(33835,plain,
% 51.54/34.16 (node10(s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[18805, 33834, 32818, 33830, 33828])).
% 51.54/34.16 tff(33836,plain,
% 51.54/34.16 (m_main_v_CMD(s6, c_read_h_owned)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[19097, 33835, 33826])).
% 51.54/34.16 tff(33837,plain,
% 51.54/34.16 (m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[16254, 33836])).
% 51.54/34.16 tff(33838,plain,
% 51.54/34.16 (m_processor_v_waiting(c_p1, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[18842, 33837, 33820, 33822, 33825])).
% 51.54/34.16 tff(33839,plain,
% 51.54/34.16 (m_processor_v_reply_h_owned(c_p0, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[31406, 33827])).
% 51.54/34.16 tff(33840,plain,
% 51.54/34.16 (~node5(s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[25489, 33839])).
% 51.54/34.16 tff(33841,plain,
% 51.54/34.16 (m_main_v_REPLY_h_OWNED(s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[24252, 33840])).
% 51.54/34.16 tff(33842,plain,
% 51.54/34.16 (m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[24260, 33841])).
% 51.54/34.16 tff(33843,plain,
% 51.54/34.16 (~m_memory_v_busy(c_m, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[25438, 33842, 18288])).
% 51.54/34.16 tff(33844,plain,
% 51.54/34.16 (~node29(c_m, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[24392, 33843])).
% 51.54/34.16 tff(33845,plain,
% 51.54/34.16 (m_memory_v_cmd(c_m, s7, c_idle)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[13225, 33844])).
% 51.54/34.16 tff(33846,plain,
% 51.54/34.16 (m_processor_v_waiting(c_p1, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[26121, 33845, 13266, 33818, 33838])).
% 51.54/34.16 tff(33847,plain,
% 51.54/34.16 (~node56(c_p1, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[13159, 33846])).
% 51.54/34.16 tff(33848,plain,
% 51.54/34.16 (~m_processor_v_writable(c_p1, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[5686, 33847])).
% 51.54/34.16 tff(33849,plain,
% 51.54/34.16 (~node67(s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[5697, 33848])).
% 51.54/34.16 tff(33850,plain,
% 51.54/34.16 (node67(s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[6554, 33849, 5949, 5669, 5670, 33817])).
% 51.54/34.16 tff(33851,plain,
% 51.54/34.16 (m_processor_v_writable(c_p1, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[12530, 33850])).
% 51.54/34.16 tff(33852,plain,
% 51.54/34.16 (node56(c_p1, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[12523, 33851])).
% 51.54/34.16 tff(33853,plain,
% 51.54/34.16 ($false),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[18172, 540, 33852, 33838])).
% 51.54/34.16 tff(33854,plain,(node67(s4) | node67(s9) | node67(s5) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | m_memory_v_busy(c_m, s6) | (~m_processor_v_state(c_p0, s6, c_owned)) | (~m_processor_v_state(c_p1, s6, c_shared)) | node62(c_p1, s6) | (~m_processor_v_state(c_p1, s5, c_owned))), inference(lemma,lemma(discharge,[]))).
% 51.54/34.16 tff(33855,plain,
% 51.54/34.16 (m_memory_v_busy(c_m, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33854, 33811, 29571, 30121, 31386, 23598, 5949, 32441, 33813])).
% 51.54/34.16 tff(33856,plain,
% 51.54/34.16 (~node32(c_p1, s6, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[13531, 33811, 32733])).
% 51.54/34.16 tff(33857,plain,
% 51.54/34.16 (~m_processor_v_abort(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[13472, 33856])).
% 51.54/34.16 tff(33858,plain,
% 51.54/34.16 ($false),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[25694, 33857, 33855, 32440, 32733, 33812])).
% 51.54/34.16 tff(33859,plain,(node67(s9) | m_processor_v_master(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.16 tff(33860,plain,
% 51.54/34.16 (node67(s9)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33859, 55])).
% 51.54/34.16 tff(33861,plain,
% 51.54/34.16 (m_processor_v_writable(c_p0, s9)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[14729, 33860])).
% 51.54/34.16 tff(33862,plain,
% 51.54/34.16 (node56(c_p0, s9)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[14737, 33861])).
% 51.54/34.16 tff(33863,plain,
% 51.54/34.16 (m_processor_v_state(c_p0, s9, c_owned)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[14745, 33862])).
% 51.54/34.16 tff(33864,plain,
% 51.54/34.16 (~m_processor_v_state(c_p0, s9, c_shared)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[14766, 121, 33863])).
% 51.54/34.16 tff(33865,plain,
% 51.54/34.16 (m_processor_v_writable(c_p1, s9)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[6259, 33860])).
% 51.54/34.16 tff(33866,plain,
% 51.54/34.16 (node56(c_p1, s9)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[6267, 33865])).
% 51.54/34.16 tff(33867,plain,
% 51.54/34.16 (m_processor_v_state(c_p1, s9, c_owned)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[6275, 33866])).
% 51.54/34.16 tff(33868,plain,
% 51.54/34.16 (~m_processor_v_state(c_p1, s9, c_invalid)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[6279, 137, 33867])).
% 51.54/34.16 tff(33869,plain,
% 51.54/34.16 (~m_processor_v_waiting(c_p1, s9)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[6546, 540, 33866])).
% 51.54/34.16 tff(33870,plain,
% 51.54/34.16 (m_processor_v_state(c_p1, s8, c_owned)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[26157, 33869, 33867])).
% 51.54/34.16 tff(33871,plain,
% 51.54/34.16 (~m_processor_v_state(c_p1, s9, c_shared)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[6286, 121, 33867])).
% 51.54/34.16 tff(33872,plain,
% 51.54/34.16 (~m_processor_v_waiting(c_p0, s9)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[14756, 540, 33862])).
% 51.54/34.16 tff(33873,plain,
% 51.54/34.16 (~m_processor_v_state(c_p0, s9, c_invalid)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[14770, 137, 33863])).
% 51.54/34.16 tff(33874,plain,
% 51.54/34.16 (m_processor_v_master(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[13615, 13439, 32440, 1])).
% 51.54/34.16 tff(33875,plain,
% 51.54/34.16 (~node32(c_p1, s6, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[13447, 13439, 32440])).
% 51.54/34.16 tff(33876,plain,
% 51.54/34.16 (~m_processor_v_abort(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[13472, 33875])).
% 51.54/34.16 tff(33877,plain,
% 51.54/34.16 (~m_memory_v_busy(c_m, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[25694, 33876, 32440, 32733, 33874])).
% 51.54/34.16 tff(33878,plain,
% 51.54/34.16 (~m_processor_v_master(c_p0, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[16318, 33874])).
% 51.54/34.16 tff(33879,plain,
% 51.54/34.16 (m_processor_v_reply_h_owned(c_p0, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[32592, 33878])).
% 51.54/34.16 tff(33880,plain,
% 51.54/34.16 (~node5(s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[25489, 33879])).
% 51.54/34.16 tff(33881,plain,
% 51.54/34.16 (m_main_v_REPLY_h_OWNED(s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[24252, 33880])).
% 51.54/34.16 tff(33882,plain,
% 51.54/34.16 (m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[24260, 33881])).
% 51.54/34.16 tff(33883,plain,
% 51.54/34.16 (~m_memory_v_busy(c_m, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[25438, 33882, 33877])).
% 51.54/34.16 tff(33884,plain,
% 51.54/34.16 (~node29(c_m, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[24392, 33883])).
% 51.54/34.16 tff(33885,plain,
% 51.54/34.16 (m_memory_v_cmd(c_m, s7, c_idle)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[13225, 33884])).
% 51.54/34.16 tff(33886,plain,
% 51.54/34.16 (~m_main_v_CMD(s7, c_read_h_shared)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[29412, 33885, 32439, 13266])).
% 51.54/34.16 tff(33887,plain,
% 51.54/34.16 (~m_memory_v_CMD(c_m, s7, c_read_h_shared)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[24612, 33886])).
% 51.54/34.16 tff(33888,plain,
% 51.54/34.16 (~m_memory_v_busy(c_m, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[29423, 33887, 15389, 33883])).
% 51.54/34.16 tff(33889,plain,
% 51.54/34.16 (m_processor_v_waiting(c_p1, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[18851, 13439, 32440, 33874])).
% 51.54/34.16 tff(33890,plain,
% 51.54/34.16 (m_processor_v_waiting(c_p1, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[26121, 33885, 32439, 13266, 33889])).
% 51.54/34.16 tff(33891,plain,
% 51.54/34.16 (~m_memory_v_cmd(c_m, s8, c_idle)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[29435, 33890, 14422, 6290, 14780, 14758, 6289, 13022, 6288, 14838])).
% 51.54/34.16 tff(33892,plain,
% 51.54/34.16 (node29(c_m, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[15489, 33891])).
% 51.54/34.16 tff(33893,plain,
% 51.54/34.16 ($false),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[15481, 2072, 33892, 33888])).
% 51.54/34.16 tff(33894,plain,((~m_processor_v_state(c_p1, s6, c_invalid)) | (~m_memory_v_REPLY_h_OWNED(c_m, s7)) | (~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_waiting(c_p1, s9) | m_processor_v_state(c_p0, s9, c_invalid) | m_processor_v_waiting(c_p0, s9) | m_processor_v_state(c_p1, s9, c_shared) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_state(c_p0, s9, c_shared) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | m_processor_v_state(c_p1, s6, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.16 tff(33895,plain,
% 51.54/34.16 (~m_processor_v_state(c_p1, s6, c_invalid)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33894, 1, 14422, 6290, 14780, 14758, 6289, 13022, 6288, 14838, 13266, 15389])).
% 51.54/34.16 tff(33896,plain,
% 51.54/34.16 (m_processor_v_state(c_p1, s6, c_owned)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[158, 33895, 1])).
% 51.54/34.16 tff(33897,plain,
% 51.54/34.16 (~node5(s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33717, 33896])).
% 51.54/34.16 tff(33898,plain,
% 51.54/34.16 (m_main_v_REPLY_h_OWNED(s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[24252, 33897])).
% 51.54/34.16 tff(33899,plain,
% 51.54/34.16 (m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[24260, 33898])).
% 51.54/34.16 tff(33900,plain,
% 51.54/34.16 (m_processor_v_state(c_p0, s5, c_owned)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[26669, 2, 32441])).
% 51.54/34.16 tff(33901,plain,
% 51.54/34.16 (m_processor_v_state(c_p0, s4, c_owned)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[32463, 2, 33895, 33900, 1])).
% 51.54/34.16 tff(33902,plain,
% 51.54/34.16 (m_processor_v_waiting(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[32179, 33901, 32448, 32447, 33895, 1, 2, 33900])).
% 51.54/34.16 tff(33903,plain,
% 51.54/34.16 (~node56(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[545, 33902])).
% 51.54/34.16 tff(33904,plain,
% 51.54/34.16 (~m_processor_v_writable(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[672, 33903])).
% 51.54/34.16 tff(33905,plain,
% 51.54/34.16 (~m_memory_v_busy(c_m, s5)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[32585, 33901, 33900])).
% 51.54/34.16 tff(33906,plain,
% 51.54/34.16 (~m_memory_v_busy(c_m, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[29393, 33905, 32517])).
% 51.54/34.16 tff(33907,plain,
% 51.54/34.16 (~m_memory_v_busy(c_m, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[25438, 33906, 33899])).
% 51.54/34.16 tff(33908,plain,
% 51.54/34.16 (~node29(c_m, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[24392, 33907])).
% 51.54/34.16 tff(33909,plain,
% 51.54/34.16 (m_memory_v_cmd(c_m, s7, c_idle)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[13225, 33908])).
% 51.54/34.16 tff(33910,plain,
% 51.54/34.16 (~m_main_v_CMD(s7, c_read_h_shared)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[29412, 33909, 32439, 13266])).
% 51.54/34.16 tff(33911,plain,
% 51.54/34.16 (~m_memory_v_CMD(c_m, s7, c_read_h_shared)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[24612, 33910])).
% 51.54/34.16 tff(33912,plain,
% 51.54/34.16 (~m_memory_v_busy(c_m, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[29423, 33911, 15389, 33907])).
% 51.54/34.16 tff(33913,plain,
% 51.54/34.16 (~node29(c_m, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[15481, 2072, 33912])).
% 51.54/34.16 tff(33914,plain,
% 51.54/34.16 (m_memory_v_cmd(c_m, s8, c_idle)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[15489, 33913])).
% 51.54/34.16 tff(33915,plain,
% 51.54/34.16 (~m_processor_v_waiting(c_p1, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[29435, 33914, 14422, 6290, 14780, 14758, 6289, 13022, 6288, 14838])).
% 51.54/34.16 tff(33916,plain,
% 51.54/34.16 (~m_processor_v_waiting(c_p1, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[26121, 33915, 32439, 13266, 33909])).
% 51.54/34.16 tff(33917,plain,
% 51.54/34.16 (~m_processor_v_master(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[25475, 33916, 33904, 32440, 32733])).
% 51.54/34.16 tff(33918,plain,
% 51.54/34.16 (m_processor_v_master(c_p1, s6) | m_processor_v_reply_h_waiting(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[14167, 2296, 33902])).
% 51.54/34.16 tff(33919,plain,
% 51.54/34.16 (m_processor_v_reply_h_waiting(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33918, 33917])).
% 51.54/34.16 tff(33920,plain,
% 51.54/34.16 (~node6(s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[14176, 33919])).
% 51.54/34.16 tff(33921,plain,
% 51.54/34.16 (m_main_v_REPLY_h_WAITING(s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[14184, 33920])).
% 51.54/34.16 tff(33922,plain,
% 51.54/34.16 (m_processor_v_REPLY_h_WAITING(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[18192, 33921])).
% 51.54/34.16 tff(33923,plain,
% 51.54/34.16 (m_processor_v_cmd(c_p1, s6, c_idle)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[14156, 33917])).
% 51.54/34.16 tff(33924,plain,
% 51.54/34.16 (~node46(c_p1, s6, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[29683, 33916, 33902])).
% 51.54/34.16 tff(33925,plain,
% 51.54/34.16 (~m_processor_v_abort(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[18740, 33924])).
% 51.54/34.16 tff(33926,plain,
% 51.54/34.16 (node60(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[18324, 33925])).
% 51.54/34.16 tff(33927,plain,
% 51.54/34.16 (node59(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[18335, 33922, 33926])).
% 51.54/34.16 tff(33928,plain,
% 51.54/34.16 (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[18369, 33927])).
% 51.54/34.16 tff(33929,plain,
% 51.54/34.16 (~node47(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[19020, 33928])).
% 51.54/34.16 tff(33930,plain,
% 51.54/34.16 (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[18342, 33927])).
% 51.54/34.16 tff(33931,plain,
% 51.54/34.16 (~node48(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[19050, 33930])).
% 51.54/34.16 tff(33932,plain,
% 51.54/34.16 (~m_main_v_CMD(s7, c_read_h_shared)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[29412, 33781, 32439, 13266])).
% 51.54/34.16 tff(33933,plain,
% 51.54/34.16 (~m_memory_v_CMD(c_m, s7, c_read_h_shared)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[24612, 33932])).
% 51.54/34.16 tff(33934,plain,
% 51.54/34.16 (~m_memory_v_busy(c_m, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[29423, 33933, 15389, 33779])).
% 51.54/34.16 tff(33935,plain,
% 51.54/34.16 (~node29(c_m, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[15481, 2072, 33934])).
% 51.54/34.16 tff(33936,plain,
% 51.54/34.16 (m_memory_v_cmd(c_m, s8, c_idle)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[15489, 33935])).
% 51.54/34.16 tff(33937,plain,
% 51.54/34.16 (~m_processor_v_waiting(c_p1, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[29435, 33936, 14422, 6290, 14780, 14758, 6289, 13022, 6288, 14838])).
% 51.54/34.16 tff(33938,plain,
% 51.54/34.16 (~m_processor_v_waiting(c_p1, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[26121, 33937, 32439, 13266, 33781])).
% 51.54/34.16 tff(33939,plain,
% 51.54/34.16 (~node46(c_p1, s6, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[29683, 33938, 533])).
% 51.54/34.16 tff(33940,plain,
% 51.54/34.16 (~m_processor_v_abort(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[18740, 33939])).
% 51.54/34.16 tff(33941,plain,
% 51.54/34.16 (~node52(c_p1, s6, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[18307, 33938, 533])).
% 51.54/34.16 tff(33942,plain,
% 51.54/34.16 (m_processor_v_master(c_p0, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[29809, 33941, 2, 18698, 18699, 32441, 33940, 18318, 32818, 14207])).
% 51.54/34.16 tff(33943,plain,
% 51.54/34.16 (node60(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[18324, 33940])).
% 51.54/34.16 tff(33944,plain,
% 51.54/34.16 (m_processor_v_CMD(c_p0, s6, c_read_h_owned)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[32886, 33943, 32374, 32373, 33942, 32441, 14207])).
% 51.54/34.16 tff(33945,plain,
% 51.54/34.16 (m_main_v_CMD(s6, c_read_h_owned)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[16241, 33944])).
% 51.54/34.16 tff(33946,plain,
% 51.54/34.16 (node59(c_p1, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[18335, 33943, 18318])).
% 51.54/34.16 tff(33947,plain,
% 51.54/34.16 (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[18342, 33946])).
% 51.54/34.16 tff(33948,plain,
% 51.54/34.16 ($false),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[16254, 33947, 33945])).
% 51.54/34.16 tff(33949,plain,(m_memory_v_busy(c_m, s6) | (~m_processor_v_REPLY_h_WAITING(c_p1, s6)) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | m_processor_v_waiting(c_p0, s6) | node48(c_p1, s6) | node47(c_p1, s6) | (~m_processor_v_waiting(c_p1, s6)) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_waiting(c_p1, s9) | m_processor_v_state(c_p0, s9, c_invalid) | m_processor_v_waiting(c_p0, s9) | m_processor_v_state(c_p1, s9, c_shared) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_state(c_p0, s9, c_shared) | (~m_memory_v_REPLY_h_OWNED(c_m, s7)) | (~m_memory_v_REPLY_h_OWNED(c_m, s6))), inference(lemma,lemma(discharge,[]))).
% 51.54/34.16 tff(33950,plain,
% 51.54/34.16 ($false),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33949, 33931, 33929, 33906, 2, 33923, 33922, 33902, 13266, 14422, 6290, 14780, 14758, 6289, 13022, 6288, 14838, 15389, 33899])).
% 51.54/34.16 tff(33951,plain,(m_processor_v_waiting(c_p0, s6) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_waiting(c_p1, s9) | m_processor_v_state(c_p0, s9, c_invalid) | m_processor_v_waiting(c_p0, s9) | m_processor_v_state(c_p1, s9, c_shared) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_state(c_p0, s9, c_shared) | (~m_memory_v_REPLY_h_OWNED(c_m, s7)) | m_processor_v_state(c_p1, s6, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.16 tff(33952,plain,
% 51.54/34.16 (m_processor_v_waiting(c_p0, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33951, 1, 32375, 33869, 33873, 33872, 33871, 33870, 33868, 33864, 32385, 23598])).
% 51.54/34.16 tff(33953,plain,
% 51.54/34.16 (~m_processor_v_state(c_p1, s6, c_invalid)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33894, 1, 32375, 33869, 33873, 33872, 33871, 33870, 33868, 33864, 23598, 32385])).
% 51.54/34.16 tff(33954,plain,
% 51.54/34.16 (m_processor_v_waiting(c_p0, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33698, 32818, 33953, 33952, 1])).
% 51.54/34.16 tff(33955,plain,
% 51.54/34.16 (m_processor_v_state(c_p1, s6, c_owned)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[158, 33953, 1])).
% 51.54/34.16 tff(33956,plain,
% 51.54/34.16 (~node5(s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33717, 33955])).
% 51.54/34.16 tff(33957,plain,
% 51.54/34.16 (m_main_v_REPLY_h_OWNED(s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[24252, 33956])).
% 51.54/34.16 tff(33958,plain,
% 51.54/34.16 (m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[24260, 33957])).
% 51.54/34.16 tff(33959,plain,
% 51.54/34.16 (~m_memory_v_busy(c_m, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[25438, 18288, 33958])).
% 51.54/34.16 tff(33960,plain,
% 51.54/34.16 (~node29(c_m, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[24392, 33959])).
% 51.54/34.16 tff(33961,plain,
% 51.54/34.16 (m_memory_v_cmd(c_m, s7, c_idle)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[13225, 33960])).
% 51.54/34.16 tff(33962,plain,
% 51.54/34.16 (~m_main_v_CMD(s7, c_read_h_shared)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[29412, 33961, 32439, 23598])).
% 51.54/34.16 tff(33963,plain,
% 51.54/34.16 (~m_memory_v_CMD(c_m, s7, c_read_h_shared)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[24612, 33962])).
% 51.54/34.16 tff(33964,plain,
% 51.54/34.16 (~m_memory_v_busy(c_m, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[29423, 33963, 32385, 33959])).
% 51.54/34.16 tff(33965,plain,
% 51.54/34.16 (~node29(c_m, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[15481, 2072, 33964])).
% 51.54/34.16 tff(33966,plain,
% 51.54/34.16 (m_memory_v_cmd(c_m, s8, c_idle)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[15489, 33965])).
% 51.54/34.16 tff(33967,plain,
% 51.54/34.16 (~m_processor_v_CMD(c_p1, s8, c_read_h_owned)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[24495, 14415, 14758])).
% 51.54/34.16 tff(33968,plain,
% 51.54/34.16 (~node52(c_p0, s8, s9)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[15337, 14415, 14758])).
% 51.54/34.16 tff(33969,plain,
% 51.54/34.16 (m_processor_v_abort(c_p0, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[16096, 33968, 14759, 6289, 6288, 13022, 15510, 6290, 33967, 14758])).
% 51.54/34.16 tff(33970,plain,
% 51.54/34.16 ($false),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[15507, 33969, 24466])).
% 51.54/34.16 tff(33971,plain,((~m_processor_v_waiting(c_p0, s8)) | (~m_processor_v_state(c_p0, s9, c_owned)) | m_processor_v_state(c_p1, s9, c_shared) | m_processor_v_state(c_p1, s9, c_invalid) | (~m_processor_v_state(c_p1, s8, c_owned)) | (~m_memory_v_cmd(c_m, s8, c_idle)) | m_processor_v_waiting(c_p1, s9) | m_processor_v_waiting(c_p0, s9)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.16 tff(33972,plain,
% 51.54/34.16 (~m_processor_v_waiting(c_p0, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33971, 33966, 33871, 33868, 33870, 33863, 33869, 33872])).
% 51.54/34.16 tff(33973,plain,
% 51.54/34.16 (~node46(c_p0, s7, s8)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[23449, 33972, 33954])).
% 51.54/34.16 tff(33974,plain,
% 51.54/34.16 (~m_processor_v_abort(c_p0, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[23457, 33973])).
% 51.54/34.16 tff(33975,plain,
% 51.54/34.16 (~m_processor_v_state(c_p1, s8, c_invalid)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[13056, 33870])).
% 51.54/34.16 tff(33976,plain,
% 51.54/34.16 (~m_processor_v_state(c_p1, s8, c_shared)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[13150, 121, 33870])).
% 51.54/34.16 tff(33977,plain,
% 51.54/34.16 (m_processor_v_abort(c_p1, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[32704, 33972, 32439, 55, 33976, 33961, 33975, 33954])).
% 51.54/34.16 tff(33978,plain,
% 51.54/34.16 (~node60(c_p0, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[32714, 33977])).
% 51.54/34.16 tff(33979,plain,
% 51.54/34.16 ($false),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[15422, 33978, 33974])).
% 51.54/34.16 tff(33980,plain,(m_memory_v_busy(c_m, s6) | m_processor_v_master(c_p0, s7) | m_processor_v_state(c_p1, s6, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.16 tff(33981,plain,
% 51.54/34.16 (m_processor_v_master(c_p0, s7) | m_processor_v_state(c_p1, s6, c_shared)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33980, 32589])).
% 51.54/34.16 tff(33982,plain,
% 51.54/34.16 (m_processor_v_master(c_p0, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33981, 1])).
% 51.54/34.16 tff(33983,plain,
% 51.54/34.16 (~m_processor_v_master(c_p1, s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[13229, 794, 33982])).
% 51.54/34.16 tff(33984,plain,
% 51.54/34.16 (m_processor_v_cmd(c_p1, s7, c_idle)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[14619, 33983])).
% 51.54/34.16 tff(33985,plain,
% 51.54/34.16 (node8(s7)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[14647, 33984, 33982])).
% 51.54/34.16 tff(33986,plain,
% 51.54/34.16 ($false),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[27184, 26871, 26867, 27111, 21053])).
% 51.54/34.16 tff(33987,plain,(m_processor_v_state(c_p0, s4, c_owned) | m_processor_v_snoop(c_p0, s5, c_invalid) | (~m_processor_v_snoop(c_p0, s4, c_invalid))), inference(lemma,lemma(discharge,[]))).
% 51.54/34.16 tff(33988,plain,
% 51.54/34.16 (m_processor_v_snoop(c_p0, s5, c_invalid)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33987, 27109, 54])).
% 51.54/34.16 tff(33989,plain,
% 51.54/34.16 ($false),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[30136, 380, 13853, 526, 106])).
% 51.54/34.16 tff(33990,plain,((~node32(c_p1, s5, s6)) | (~m_processor_v_state(c_p1, s5, c_owned)) | m_processor_v_state(c_p1, s6, c_owned)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.16 tff(33991,plain,
% 51.54/34.16 ((~node32(c_p1, s5, s6)) | m_processor_v_state(c_p1, s6, c_owned)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33990, 30121])).
% 51.54/34.16 tff(33992,plain,
% 51.54/34.16 (~node32(c_p1, s5, s6)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33991, 32469])).
% 51.54/34.16 tff(33993,plain,
% 51.54/34.16 (~m_processor_v_abort(c_p1, s5)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[250, 33992])).
% 51.54/34.16 tff(33994,plain,
% 51.54/34.16 (node60(c_p1, s5)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[698, 33993])).
% 51.54/34.16 tff(33995,plain,
% 51.54/34.16 (m_processor_v_master(c_p0, s4)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[1191, 54, 32443])).
% 51.54/34.16 tff(33996,plain,
% 51.54/34.16 (~m_processor_v_master(c_p1, s4)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[1437, 33995])).
% 51.54/34.16 tff(33997,plain,
% 51.54/34.16 (m_processor_v_master(c_p1, s4) | (~m_processor_v_state(c_p1, s4, c_shared))),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[19185, 32155, 31437])).
% 51.54/34.16 tff(33998,plain,
% 51.54/34.16 (~m_processor_v_state(c_p1, s4, c_shared)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[33997, 33996])).
% 51.54/34.16 tff(33999,plain,
% 51.54/34.16 (~m_memory_v_busy(c_m, s5)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[32560, 33998, 32443])).
% 51.54/34.16 tff(34000,plain,
% 51.54/34.16 (~node29(c_m, s5)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[29294, 33999])).
% 51.54/34.16 tff(34001,plain,
% 51.54/34.16 (m_memory_v_cmd(c_m, s5, c_idle)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[7144, 34000])).
% 51.54/34.16 tff(34002,plain,
% 51.54/34.16 (~m_processor_v_abort(c_p0, s5)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[18089, 33994])).
% 51.54/34.16 tff(34003,plain,
% 51.54/34.16 (m_processor_v_waiting(c_p0, s5)),
% 51.54/34.16 inference(unit_resolution,[status(thm)],[2285, 54, 32443])).
% 51.54/34.17 tff(34004,plain,
% 51.54/34.17 (~m_processor_v_CMD(c_p0, s5, c_read_h_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[31909, 34002, 2, 34003])).
% 51.54/34.17 tff(34005,plain,
% 51.54/34.17 ((~m_processor_v_master(c_p0, s5)) | (~m_memory_v_cmd(c_m, s5, c_idle)) | (~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_abort(c_p0, s5) | m_processor_v_CMD(c_p0, s5, c_read_h_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[31930, 32448, 32447])).
% 51.54/34.17 tff(34006,plain,
% 51.54/34.17 (~m_processor_v_master(c_p0, s5)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34005, 34004, 32443, 34002, 34001])).
% 51.54/34.17 tff(34007,plain,
% 51.54/34.17 (m_processor_v_master(c_p0, s5) | m_processor_v_reply_h_waiting(c_p0, s5)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[2302, 2296, 34003])).
% 51.54/34.17 tff(34008,plain,
% 51.54/34.17 (m_processor_v_reply_h_waiting(c_p0, s5)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34007, 34006])).
% 51.54/34.17 tff(34009,plain,
% 51.54/34.17 (~node6(s5)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[783, 34008])).
% 51.54/34.17 tff(34010,plain,
% 51.54/34.17 (m_main_v_REPLY_h_WAITING(s5)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[765, 34009])).
% 51.54/34.17 tff(34011,plain,
% 51.54/34.17 (m_processor_v_REPLY_h_WAITING(c_p1, s5)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[750, 34010])).
% 51.54/34.17 tff(34012,plain,
% 51.54/34.17 (node59(c_p1, s5)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[732, 34011, 33994])).
% 51.54/34.17 tff(34013,plain,
% 51.54/34.17 (~m_processor_v_CMD(c_p1, s5, c_read_h_shared)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[16989, 34012])).
% 51.54/34.17 tff(34014,plain,
% 51.54/34.17 (~m_main_v_CMD(s5, c_read_h_shared)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[18087, 34013])).
% 51.54/34.17 tff(34015,plain,
% 51.54/34.17 (~m_processor_v_CMD(c_p0, s5, c_read_h_shared)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[18084, 34014])).
% 51.54/34.17 tff(34016,plain,
% 51.54/34.17 (m_processor_v_snoop(c_p0, s6, c_invalid)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[28587, 34015, 33988])).
% 51.54/34.17 tff(34017,plain,
% 51.54/34.17 (~m_processor_v_master(c_p0, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[16318, 32466])).
% 51.54/34.17 tff(34018,plain,
% 51.54/34.17 (~node42(c_p0, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[26819, 8170, 34017])).
% 51.54/34.17 tff(34019,plain,
% 51.54/34.17 ((~node32(c_p1, s6, s7)) | (~m_processor_v_state(c_p1, s6, c_invalid))),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[13447, 32440])).
% 51.54/34.17 tff(34020,plain,
% 51.54/34.17 (~node32(c_p1, s6, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34019, 32464])).
% 51.54/34.17 tff(34021,plain,
% 51.54/34.17 (~m_processor_v_abort(c_p1, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[13472, 34020])).
% 51.54/34.17 tff(34022,plain,
% 51.54/34.17 (node34(c_p1, s6, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25524, 34021, 32466])).
% 51.54/34.17 tff(34023,plain,
% 51.54/34.17 ((~m_processor_v_CMD(c_p1, s6, c_read_h_shared)) | (~node34(c_p1, s6, s7))),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25514, 32733])).
% 51.54/34.17 tff(34024,plain,
% 51.54/34.17 (~m_processor_v_CMD(c_p1, s6, c_read_h_shared)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34023, 34022])).
% 51.54/34.17 tff(34025,plain,
% 51.54/34.17 (~m_main_v_CMD(s6, c_read_h_shared)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[18379, 34024])).
% 51.54/34.17 tff(34026,plain,
% 51.54/34.17 (~m_processor_v_CMD(c_p0, s6, c_read_h_shared)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[18385, 34025])).
% 51.54/34.17 tff(34027,plain,
% 51.54/34.17 (~node40(c_p0, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[26829, 8367, 34026])).
% 51.54/34.17 tff(34028,plain,
% 51.54/34.17 (~node43(c_p0, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[26833, 8159, 34017])).
% 51.54/34.17 tff(34029,plain,
% 51.54/34.17 (node60(c_p1, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[18324, 34021])).
% 51.54/34.17 tff(34030,plain,
% 51.54/34.17 ((~m_processor_v_state(c_p1, s6, c_invalid)) | (~m_processor_v_master(c_p1, s6)) | m_main_v_CMD(s6, c_read_h_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25526, 32440, 32733])).
% 51.54/34.17 tff(34031,plain,
% 51.54/34.17 (m_main_v_CMD(s6, c_read_h_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34030, 32464, 32466])).
% 51.54/34.17 tff(34032,plain,
% 51.54/34.17 (m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[16254, 34031])).
% 51.54/34.17 tff(34033,plain,
% 51.54/34.17 (~node59(c_p1, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[18342, 34032])).
% 51.54/34.17 tff(34034,plain,
% 51.54/34.17 (~m_processor_v_abort(c_p0, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25955, 34033, 34029])).
% 51.54/34.17 tff(34035,plain,
% 51.54/34.17 (~node41(c_p0, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[26842, 8378, 34026])).
% 51.54/34.17 tff(34036,plain,
% 51.54/34.17 (node44(c_p0, s6, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[26862, 34035, 34034, 34028, 34027, 34018])).
% 51.54/34.17 tff(34037,plain,
% 51.54/34.17 (m_processor_v_snoop(c_p0, s7, c_invalid)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[28596, 34036, 34016])).
% 51.54/34.17 tff(34038,plain,
% 51.54/34.17 ((~m_processor_v_snoop(c_p0, s7, c_invalid)) | (~m_processor_v_master(c_p0, s7)) | m_processor_v_cmd(c_p0, s7, c_write_h_invalid)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[28635, 32317])).
% 51.54/34.17 tff(34039,plain,
% 51.54/34.17 (m_processor_v_cmd(c_p0, s7, c_write_h_invalid)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34038, 34037, 33982])).
% 51.54/34.17 tff(34040,plain,
% 51.54/34.17 (m_main_v_CMD(s7, c_write_h_invalid)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25982, 1669, 34039, 33985])).
% 51.54/34.17 tff(34041,plain,
% 51.54/34.17 (m_processor_v_CMD(c_p0, s7, c_write_h_invalid)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25884, 34040])).
% 51.54/34.17 tff(34042,plain,
% 51.54/34.17 (~node46(c_p1, s7, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25747, 29993, 25202])).
% 51.54/34.17 tff(34043,plain,
% 51.54/34.17 (~m_processor_v_abort(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25385, 34042])).
% 51.54/34.17 tff(34044,plain,
% 51.54/34.17 (~node62(c_p0, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14713, 1633, 32373])).
% 51.54/34.17 tff(34045,plain,
% 51.54/34.17 (~node63(c_p0, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25929, 1809, 32374])).
% 51.54/34.17 tff(34046,plain,
% 51.54/34.17 ((~m_main_v_CMD(s7, c_read_h_shared)) | (~m_processor_v_master(c_p0, s7))),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[30095, 32317, 34045, 34044])).
% 51.54/34.17 tff(34047,plain,
% 51.54/34.17 (~m_main_v_CMD(s7, c_read_h_shared)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34046, 14621])).
% 51.54/34.17 tff(34048,plain,
% 51.54/34.17 (~m_processor_v_CMD(c_p0, s7, c_read_h_shared)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[16214, 34047])).
% 51.54/34.17 tff(34049,plain,
% 51.54/34.17 (m_processor_v_abort(c_p0, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25841, 16256, 14621, 30069, 25838, 34048])).
% 51.54/34.17 tff(34050,plain,
% 51.54/34.17 (~node60(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25814, 34049])).
% 51.54/34.17 tff(34051,plain,
% 51.54/34.17 ($false),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[24175, 34050, 34043])).
% 51.54/34.17 tff(34052,plain,((~node67(s8)) | (~m_processor_v_master(c_p0, s7)) | (~m_processor_v_CMD(c_p0, s7, c_write_h_invalid)) | (~m_processor_v_waiting(c_p1, s7))), inference(lemma,lemma(discharge,[]))).
% 51.54/34.17 tff(34053,plain,
% 51.54/34.17 (~node67(s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34052, 34041, 33982, 32468])).
% 51.54/34.17 tff(34054,plain,
% 51.54/34.17 (node67(s9) | node67(s8) | node67(s7) | node67(s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[6554, 29571, 31386])).
% 51.54/34.17 tff(34055,plain,
% 51.54/34.17 (node67(s9)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34054, 34053, 32475, 32472])).
% 51.54/34.17 tff(34056,plain,
% 51.54/34.17 (m_processor_v_writable(c_p1, s9)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[6259, 34055])).
% 51.54/34.17 tff(34057,plain,
% 51.54/34.17 (node56(c_p1, s9)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[6267, 34056])).
% 51.54/34.17 tff(34058,plain,
% 51.54/34.17 (~m_processor_v_waiting(c_p1, s9)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[6546, 540, 34057])).
% 51.54/34.17 tff(34059,plain,
% 51.54/34.17 (m_processor_v_state(c_p1, s9, c_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[6275, 34057])).
% 51.54/34.17 tff(34060,plain,
% 51.54/34.17 (~m_processor_v_state(c_p1, s9, c_invalid)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[6279, 137, 34059])).
% 51.54/34.17 tff(34061,plain,
% 51.54/34.17 (m_processor_v_state(c_p1, s8, c_owned) | m_processor_v_master(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[26081, 32439])).
% 51.54/34.17 tff(34062,plain,
% 51.54/34.17 (m_processor_v_state(c_p1, s8, c_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34061, 33983])).
% 51.54/34.17 tff(34063,plain,
% 51.54/34.17 (~m_processor_v_state(c_p1, s9, c_shared)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[6286, 121, 34059])).
% 51.54/34.17 tff(34064,plain,
% 51.54/34.17 (m_processor_v_writable(c_p0, s9)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14729, 34055])).
% 51.54/34.17 tff(34065,plain,
% 51.54/34.17 (node56(c_p0, s9)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14737, 34064])).
% 51.54/34.17 tff(34066,plain,
% 51.54/34.17 (~m_processor_v_waiting(c_p0, s9)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14756, 540, 34065])).
% 51.54/34.17 tff(34067,plain,
% 51.54/34.17 (m_processor_v_state(c_p0, s9, c_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14745, 34065])).
% 51.54/34.17 tff(34068,plain,
% 51.54/34.17 ((~m_processor_v_waiting(c_p1, s7)) | m_processor_v_reply_h_waiting(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25823, 2296, 33983])).
% 51.54/34.17 tff(34069,plain,
% 51.54/34.17 (m_processor_v_reply_h_waiting(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34068, 32468])).
% 51.54/34.17 tff(34070,plain,
% 51.54/34.17 (~node6(s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25831, 34069])).
% 51.54/34.17 tff(34071,plain,
% 51.54/34.17 (m_main_v_REPLY_h_WAITING(s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[23481, 34070])).
% 51.54/34.17 tff(34072,plain,
% 51.54/34.17 (m_processor_v_REPLY_h_WAITING(c_p0, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[23489, 34071])).
% 51.54/34.17 tff(34073,plain,
% 51.54/34.17 (m_processor_v_state(c_p0, s8, c_owned) | (~m_processor_v_master(c_p0, s7)) | (~m_processor_v_REPLY_h_WAITING(c_p0, s7)) | (~m_processor_v_state(c_p0, s9, c_owned)) | m_processor_v_waiting(c_p0, s9)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[28685, 32317, 34045])).
% 51.54/34.17 tff(34074,plain,
% 51.54/34.17 (m_processor_v_state(c_p0, s8, c_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34073, 34066, 33982, 34072, 34067])).
% 51.54/34.17 tff(34075,plain,
% 51.54/34.17 (m_processor_v_reply_h_owned(c_p0, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[32592, 34017])).
% 51.54/34.17 tff(34076,plain,
% 51.54/34.17 (~node5(s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25489, 34075])).
% 51.54/34.17 tff(34077,plain,
% 51.54/34.17 (m_main_v_REPLY_h_OWNED(s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[24252, 34076])).
% 51.54/34.17 tff(34078,plain,
% 51.54/34.17 (m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[24260, 34077])).
% 51.54/34.17 tff(34079,plain,
% 51.54/34.17 ((~m_memory_v_busy(c_m, s7)) | (~m_memory_v_REPLY_h_OWNED(c_m, s6))),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25438, 32589])).
% 51.54/34.17 tff(34080,plain,
% 51.54/34.17 (~m_memory_v_busy(c_m, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34079, 34078])).
% 51.54/34.17 tff(34081,plain,
% 51.54/34.17 (m_processor_v_reply_h_owned(c_p1, s7) | m_processor_v_master(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[15344, 32439])).
% 51.54/34.17 tff(34082,plain,
% 51.54/34.17 (m_processor_v_reply_h_owned(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34081, 33983])).
% 51.54/34.17 tff(34083,plain,
% 51.54/34.17 (~node5(s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[15348, 10333, 34082])).
% 51.54/34.17 tff(34084,plain,
% 51.54/34.17 (m_main_v_REPLY_h_OWNED(s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[15356, 34083])).
% 51.54/34.17 tff(34085,plain,
% 51.54/34.17 (m_memory_v_REPLY_h_OWNED(c_m, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[15364, 34084])).
% 51.54/34.17 tff(34086,plain,
% 51.54/34.17 (~m_processor_v_state(c_p0, s9, c_shared)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14766, 121, 34067])).
% 51.54/34.17 tff(34087,plain,
% 51.54/34.17 (~m_processor_v_state(c_p0, s9, c_invalid)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14770, 137, 34067])).
% 51.54/34.17 tff(34088,plain,
% 51.54/34.17 ((~m_memory_v_REPLY_h_OWNED(c_m, s7)) | m_memory_v_busy(c_m, s7) | (~m_processor_v_master(c_p0, s7)) | (~m_processor_v_state(c_p0, s8, c_owned)) | m_processor_v_state(c_p0, s9, c_shared) | m_processor_v_state(c_p0, s9, c_invalid) | m_processor_v_waiting(c_p0, s9) | m_processor_v_state(c_p1, s9, c_shared) | (~m_processor_v_state(c_p1, s8, c_owned)) | m_processor_v_state(c_p1, s9, c_invalid) | m_processor_v_waiting(c_p1, s9) | (~m_processor_v_waiting(c_p1, s7))),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[30106, 32317, 34045])).
% 51.54/34.17 tff(34089,plain,
% 51.54/34.17 ($false),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34088, 34087, 34086, 33982, 34085, 34080, 34074, 34066, 34063, 34062, 34060, 34058, 32468])).
% 51.54/34.17 tff(34090,plain,(m_processor_v_state(c_p0, s4, c_owned) | m_processor_v_waiting(c_p0, s6) | m_processor_v_state(c_p1, s6, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.17 tff(34091,plain,
% 51.54/34.17 (m_processor_v_state(c_p0, s4, c_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34090, 2, 1])).
% 51.54/34.17 tff(34092,plain,
% 51.54/34.17 (m_processor_v_reply_h_waiting(c_p1, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[18133, 13405])).
% 51.54/34.17 tff(34093,plain,
% 51.54/34.17 (~node6(s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14176, 34092])).
% 51.54/34.17 tff(34094,plain,
% 51.54/34.17 (m_main_v_REPLY_h_WAITING(s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14184, 34093])).
% 51.54/34.17 tff(34095,plain,
% 51.54/34.17 (m_processor_v_REPLY_h_WAITING(c_p1, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[18192, 34094])).
% 51.54/34.17 tff(34096,plain,
% 51.54/34.17 (~node29(c_m, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[18296, 32589])).
% 51.54/34.17 tff(34097,plain,
% 51.54/34.17 (m_memory_v_cmd(c_m, s6, c_idle)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14285, 34096])).
% 51.54/34.17 tff(34098,plain,
% 51.54/34.17 ((~node67(s7)) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | node48(c_p1, s6) | node47(c_p1, s6) | (~m_processor_v_REPLY_h_WAITING(c_p1, s6)) | (~m_processor_v_waiting(c_p1, s6))),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[33483, 34097])).
% 51.54/34.17 tff(34099,plain,
% 51.54/34.17 (~node67(s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34098, 18312, 533, 14157, 34095, 18316])).
% 51.54/34.17 tff(34100,plain,
% 51.54/34.17 (node67(s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34054, 34099, 5949, 33038])).
% 51.54/34.17 tff(34101,plain,
% 51.54/34.17 (m_processor_v_writable(c_p0, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[12500, 34100])).
% 51.54/34.17 tff(34102,plain,
% 51.54/34.17 (node56(c_p0, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[12508, 34101])).
% 51.54/34.17 tff(34103,plain,
% 51.54/34.17 (m_processor_v_state(c_p0, s8, c_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14413, 34102])).
% 51.54/34.17 tff(34104,plain,
% 51.54/34.17 (~m_processor_v_state(c_p0, s8, c_invalid)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14429, 34103])).
% 51.54/34.17 tff(34105,plain,
% 51.54/34.17 (~m_processor_v_state(c_p0, s8, c_shared)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14436, 121, 34103])).
% 51.54/34.17 tff(34106,plain,
% 51.54/34.17 (~m_processor_v_waiting(c_p0, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14420, 34102])).
% 51.54/34.17 tff(34107,plain,
% 51.54/34.17 (~m_processor_v_waiting(c_p0, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[29956, 34106, 14621])).
% 51.54/34.17 tff(34108,plain,
% 51.54/34.17 (~node52(c_p1, s6, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[18307, 18174, 533])).
% 51.54/34.17 tff(34109,plain,
% 51.54/34.17 (~node46(c_p1, s6, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[29683, 18174, 533])).
% 51.54/34.17 tff(34110,plain,
% 51.54/34.17 (~m_processor_v_abort(c_p1, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[18740, 34109])).
% 51.54/34.17 tff(34111,plain,
% 51.54/34.17 (m_processor_v_abort(c_p1, s6) | node47(c_p1, s6) | node48(c_p1, s6) | node52(c_p1, s6, s7) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | m_processor_v_waiting(c_p0, s7) | (~m_processor_v_REPLY_h_WAITING(c_p1, s6))),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[18735, 32374, 32373, 32441, 34097])).
% 51.54/34.17 tff(34112,plain,
% 51.54/34.17 ($false),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34111, 34110, 34108, 14207, 18699, 18698, 2541, 18318])).
% 51.54/34.17 tff(34113,plain,(m_processor_v_waiting(c_p1, s7) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | node47(c_p1, s6) | node48(c_p1, s6) | m_processor_v_waiting(c_p0, s7) | (~m_processor_v_REPLY_h_WAITING(c_p1, s6)) | (~m_processor_v_waiting(c_p1, s6))), inference(lemma,lemma(discharge,[]))).
% 51.54/34.17 tff(34114,plain,
% 51.54/34.17 (m_processor_v_waiting(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34113, 14157, 18316, 18312, 34107, 34095, 533])).
% 51.54/34.17 tff(34115,plain,
% 51.54/34.17 (m_processor_v_reply_h_waiting(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[29988, 34114])).
% 51.54/34.17 tff(34116,plain,
% 51.54/34.17 (~node6(s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25831, 34115])).
% 51.54/34.17 tff(34117,plain,
% 51.54/34.17 (m_main_v_REPLY_h_WAITING(s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[23481, 34116])).
% 51.54/34.17 tff(34118,plain,
% 51.54/34.17 (m_processor_v_REPLY_h_WAITING(c_p0, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[23489, 34117])).
% 51.54/34.17 tff(34119,plain,
% 51.54/34.17 (m_processor_v_writable(c_p1, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[5697, 34100])).
% 51.54/34.17 tff(34120,plain,
% 51.54/34.17 (node56(c_p1, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[5686, 34119])).
% 51.54/34.17 tff(34121,plain,
% 51.54/34.17 (~m_processor_v_waiting(c_p1, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[13159, 34120])).
% 51.54/34.17 tff(34122,plain,
% 51.54/34.17 (~node46(c_p1, s7, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25747, 34114, 34121])).
% 51.54/34.17 tff(34123,plain,
% 51.54/34.17 (~m_processor_v_abort(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25385, 34122])).
% 51.54/34.17 tff(34124,plain,
% 51.54/34.17 (node60(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[24175, 34123])).
% 51.54/34.17 tff(34125,plain,
% 51.54/34.17 (~m_processor_v_abort(c_p0, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25814, 34124])).
% 51.54/34.17 tff(34126,plain,
% 51.54/34.17 (m_processor_v_abort(c_p0, s7) | (~m_processor_v_master(c_p0, s7)) | m_processor_v_state(c_p0, s8, c_shared) | m_processor_v_state(c_p0, s8, c_invalid) | (~m_processor_v_REPLY_h_WAITING(c_p0, s7))),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[28683, 32317, 34045])).
% 51.54/34.17 tff(34127,plain,
% 51.54/34.17 ($false),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34126, 34125, 34118, 14621, 34105, 34104])).
% 51.54/34.17 tff(34128,plain,(m_processor_v_master(c_p1, s6) | (~m_processor_v_master(c_p0, s7)) | (~m_processor_v_waiting(c_p1, s6)) | node67(s9)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.17 tff(34129,plain,
% 51.54/34.17 (m_processor_v_master(c_p1, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34128, 533, 14621, 5949])).
% 51.54/34.17 tff(34130,plain,
% 51.54/34.17 (m_processor_v_waiting(c_p1, s7) | (~m_processor_v_master(c_p1, s6)) | m_processor_v_writable(c_p1, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25475, 32440, 32733])).
% 51.54/34.17 tff(34131,plain,
% 51.54/34.17 (m_processor_v_waiting(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34130, 34129, 32809])).
% 51.54/34.17 tff(34132,plain,
% 51.54/34.17 (~node56(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[18172, 540, 34131])).
% 51.54/34.17 tff(34133,plain,
% 51.54/34.17 (~m_processor_v_writable(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[12523, 34132])).
% 51.54/34.17 tff(34134,plain,
% 51.54/34.17 (~node67(s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[12530, 34133])).
% 51.54/34.17 tff(34135,plain,
% 51.54/34.17 (node67(s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34054, 34134, 5949, 33038])).
% 51.54/34.17 tff(34136,plain,
% 51.54/34.17 (m_processor_v_writable(c_p0, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[12500, 34135])).
% 51.54/34.17 tff(34137,plain,
% 51.54/34.17 (node56(c_p0, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[12508, 34136])).
% 51.54/34.17 tff(34138,plain,
% 51.54/34.17 (m_processor_v_state(c_p0, s8, c_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14413, 34137])).
% 51.54/34.17 tff(34139,plain,
% 51.54/34.17 (~m_processor_v_state(c_p0, s8, c_invalid)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14429, 34138])).
% 51.54/34.17 tff(34140,plain,
% 51.54/34.17 (m_processor_v_reply_h_waiting(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[29988, 34131])).
% 51.54/34.17 tff(34141,plain,
% 51.54/34.17 (~node6(s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25831, 34140])).
% 51.54/34.17 tff(34142,plain,
% 51.54/34.17 (m_main_v_REPLY_h_WAITING(s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[23481, 34141])).
% 51.54/34.17 tff(34143,plain,
% 51.54/34.17 (m_processor_v_REPLY_h_WAITING(c_p0, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[23489, 34142])).
% 51.54/34.17 tff(34144,plain,
% 51.54/34.17 (m_processor_v_writable(c_p1, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[5697, 34135])).
% 51.54/34.17 tff(34145,plain,
% 51.54/34.17 (node56(c_p1, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[5686, 34144])).
% 51.54/34.17 tff(34146,plain,
% 51.54/34.17 (~m_processor_v_waiting(c_p1, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[13159, 34145])).
% 51.54/34.17 tff(34147,plain,
% 51.54/34.17 (~node46(c_p1, s7, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25747, 34146, 34131])).
% 51.54/34.17 tff(34148,plain,
% 51.54/34.17 (~m_processor_v_abort(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25385, 34147])).
% 51.54/34.17 tff(34149,plain,
% 51.54/34.17 (node60(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[24175, 34148])).
% 51.54/34.17 tff(34150,plain,
% 51.54/34.17 (~m_processor_v_abort(c_p0, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25814, 34149])).
% 51.54/34.17 tff(34151,plain,
% 51.54/34.17 (m_processor_v_state(c_p0, s8, c_shared)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34126, 34150, 14621, 34143, 34139])).
% 51.54/34.17 tff(34152,plain,
% 51.54/34.17 ($false),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14436, 121, 34138, 34151])).
% 51.54/34.17 tff(34153,plain,((~m_processor_v_waiting(c_p1, s6)) | (~m_processor_v_master(c_p0, s7)) | node67(s9)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.17 tff(34154,plain,
% 51.54/34.17 (~m_processor_v_waiting(c_p1, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34153, 5949, 33982])).
% 51.54/34.17 tff(34155,plain,
% 51.54/34.17 ((~m_processor_v_state(c_p0, s4, c_owned)) | m_processor_v_waiting(c_p1, s6) | (~m_processor_v_state(c_p0, s5, c_owned)) | m_processor_v_state(c_p1, s6, c_invalid) | m_processor_v_waiting(c_p0, s6) | m_processor_v_state(c_p1, s6, c_shared)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[32179, 32448, 32447])).
% 51.54/34.17 tff(34156,plain,
% 51.54/34.17 (m_processor_v_state(c_p1, s6, c_invalid)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34155, 34154, 34091, 1, 2, 32443])).
% 51.54/34.17 tff(34157,plain,
% 51.54/34.17 (m_processor_v_master(c_p1, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[32465, 34156, 1])).
% 51.54/34.17 tff(34158,plain,
% 51.54/34.17 (m_processor_v_waiting(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[32467, 34156, 34157])).
% 51.54/34.17 tff(34159,plain,
% 51.54/34.17 (~node56(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[18172, 540, 34158])).
% 51.54/34.17 tff(34160,plain,
% 51.54/34.17 (~m_processor_v_writable(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[12523, 34159])).
% 51.54/34.17 tff(34161,plain,
% 51.54/34.17 (~node67(s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[12530, 34160])).
% 51.54/34.17 tff(34162,plain,
% 51.54/34.17 (~m_processor_v_state(c_p1, s6, c_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[140, 137, 34156])).
% 51.54/34.17 tff(34163,plain,
% 51.54/34.17 (~node56(c_p1, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[111, 34162])).
% 51.54/34.17 tff(34164,plain,
% 51.54/34.17 (~m_processor_v_writable(c_p1, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[672, 34163])).
% 51.54/34.17 tff(34165,plain,
% 51.54/34.17 (~node67(s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[682, 34164])).
% 51.54/34.17 tff(34166,plain,
% 51.54/34.17 (node67(s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34054, 34165, 5949, 34161])).
% 51.54/34.17 tff(34167,plain,
% 51.54/34.17 (m_processor_v_writable(c_p0, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[12500, 34166])).
% 51.54/34.17 tff(34168,plain,
% 51.54/34.17 (node56(c_p0, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[12508, 34167])).
% 51.54/34.17 tff(34169,plain,
% 51.54/34.17 (m_processor_v_state(c_p0, s8, c_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14413, 34168])).
% 51.54/34.17 tff(34170,plain,
% 51.54/34.17 (~m_processor_v_state(c_p0, s8, c_invalid)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14429, 34169])).
% 51.54/34.17 tff(34171,plain,
% 51.54/34.17 (m_processor_v_reply_h_waiting(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34068, 34158])).
% 51.54/34.17 tff(34172,plain,
% 51.54/34.17 (~node6(s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25831, 34171])).
% 51.54/34.17 tff(34173,plain,
% 51.54/34.17 (m_main_v_REPLY_h_WAITING(s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[23481, 34172])).
% 51.54/34.17 tff(34174,plain,
% 51.54/34.17 (m_processor_v_REPLY_h_WAITING(c_p0, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[23489, 34173])).
% 51.54/34.17 tff(34175,plain,
% 51.54/34.17 (m_processor_v_writable(c_p1, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[5697, 34166])).
% 51.54/34.17 tff(34176,plain,
% 51.54/34.17 (node56(c_p1, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[5686, 34175])).
% 51.54/34.17 tff(34177,plain,
% 51.54/34.17 (~m_processor_v_waiting(c_p1, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[13159, 34176])).
% 51.54/34.17 tff(34178,plain,
% 51.54/34.17 (~node46(c_p1, s7, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25747, 34177, 34158])).
% 51.54/34.17 tff(34179,plain,
% 51.54/34.17 (~m_processor_v_abort(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25385, 34178])).
% 51.54/34.17 tff(34180,plain,
% 51.54/34.17 (node60(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[24175, 34179])).
% 51.54/34.17 tff(34181,plain,
% 51.54/34.17 (~m_processor_v_abort(c_p0, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25814, 34180])).
% 51.54/34.17 tff(34182,plain,
% 51.54/34.17 (m_processor_v_state(c_p0, s8, c_shared)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34126, 34181, 33982, 34174, 34170])).
% 51.54/34.17 tff(34183,plain,
% 51.54/34.17 ($false),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14436, 121, 34169, 34182])).
% 51.54/34.17 tff(34184,plain,(node67(s9) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_waiting(c_p0, s6)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.17 tff(34185,plain,
% 51.54/34.17 (node67(s9)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34184, 2, 1])).
% 51.54/34.17 tff(34186,plain,
% 51.54/34.17 (m_processor_v_writable(c_p0, s9)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14729, 34185])).
% 51.54/34.17 tff(34187,plain,
% 51.54/34.17 (node56(c_p0, s9)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14737, 34186])).
% 51.54/34.17 tff(34188,plain,
% 51.54/34.17 (m_processor_v_state(c_p0, s9, c_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14745, 34187])).
% 51.54/34.17 tff(34189,plain,
% 51.54/34.17 (~m_processor_v_waiting(c_p0, s9)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14756, 540, 34187])).
% 51.54/34.17 tff(34190,plain,
% 51.54/34.17 (m_processor_v_state(c_p1, s6, c_owned) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_master(c_p1, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[13463, 32439])).
% 51.54/34.17 tff(34191,plain,
% 51.54/34.17 (m_processor_v_state(c_p1, s6, c_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34190, 13405, 1])).
% 51.54/34.17 tff(34192,plain,
% 51.54/34.17 (~node5(s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[33717, 34191])).
% 51.54/34.17 tff(34193,plain,
% 51.54/34.17 (m_main_v_REPLY_h_OWNED(s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[24252, 34192])).
% 51.54/34.17 tff(34194,plain,
% 51.54/34.17 (m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[24260, 34193])).
% 51.54/34.17 tff(34195,plain,
% 51.54/34.17 (~m_memory_v_busy(c_m, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34079, 34194])).
% 51.54/34.17 tff(34196,plain,
% 51.54/34.17 (m_processor_v_writable(c_p1, s9)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[6259, 34185])).
% 51.54/34.17 tff(34197,plain,
% 51.54/34.17 (node56(c_p1, s9)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[6267, 34196])).
% 51.54/34.17 tff(34198,plain,
% 51.54/34.17 (~m_processor_v_waiting(c_p1, s9)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[6546, 540, 34197])).
% 51.54/34.17 tff(34199,plain,
% 51.54/34.17 (m_processor_v_state(c_p1, s9, c_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[6275, 34197])).
% 51.54/34.17 tff(34200,plain,
% 51.54/34.17 (~m_processor_v_state(c_p1, s9, c_invalid)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[6279, 137, 34199])).
% 51.54/34.17 tff(34201,plain,
% 51.54/34.17 (~m_processor_v_state(c_p1, s9, c_shared)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[6286, 121, 34199])).
% 51.54/34.17 tff(34202,plain,
% 51.54/34.17 (~m_processor_v_state(c_p0, s9, c_invalid)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14770, 137, 34188])).
% 51.54/34.17 tff(34203,plain,
% 51.54/34.17 (~m_processor_v_state(c_p0, s9, c_shared)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14766, 121, 34188])).
% 51.54/34.17 tff(34204,plain,
% 51.54/34.17 (~m_processor_v_state(c_p1, s6, c_invalid)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[32465, 13405, 1])).
% 51.54/34.17 tff(34205,plain,
% 51.54/34.17 (m_processor_v_waiting(c_p1, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34155, 34204, 34091, 1, 2, 32443])).
% 51.54/34.17 tff(34206,plain,
% 51.54/34.17 (m_processor_v_reply_h_waiting(c_p1, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14167, 2296, 13405, 34205])).
% 51.54/34.17 tff(34207,plain,
% 51.54/34.17 (~node6(s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14176, 34206])).
% 51.54/34.17 tff(34208,plain,
% 51.54/34.17 (m_main_v_REPLY_h_WAITING(s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14184, 34207])).
% 51.54/34.17 tff(34209,plain,
% 51.54/34.17 (m_processor_v_REPLY_h_WAITING(c_p1, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[18192, 34208])).
% 51.54/34.17 tff(34210,plain,
% 51.54/34.17 (node60(c_p1, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[18324, 34110])).
% 51.54/34.17 tff(34211,plain,
% 51.54/34.17 (m_processor_v_master(c_p0, s6) | m_processor_v_waiting(c_p0, s6) | node47(c_p1, s6) | node48(c_p1, s6) | m_processor_v_abort(c_p1, s6) | node52(c_p1, s6, s7) | (~m_processor_v_REPLY_h_WAITING(c_p1, s6)) | (~m_processor_v_cmd(c_p1, s6, c_idle))),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[29809, 32441, 34097])).
% 51.54/34.17 tff(34212,plain,
% 51.54/34.17 (m_processor_v_master(c_p0, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34211, 34108, 2, 18698, 18318, 34110, 18699, 14207])).
% 51.54/34.17 tff(34213,plain,
% 51.54/34.17 ((~m_processor_v_master(c_p0, s6)) | (~node60(c_p1, s6)) | m_processor_v_CMD(c_p0, s6, c_read_h_owned) | (~m_processor_v_cmd(c_p1, s6, c_idle))),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[32886, 32374, 32373, 32441])).
% 51.54/34.17 tff(34214,plain,
% 51.54/34.17 (m_processor_v_CMD(c_p0, s6, c_read_h_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34213, 34212, 34210, 14207])).
% 51.54/34.17 tff(34215,plain,
% 51.54/34.17 (m_main_v_CMD(s6, c_read_h_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[16241, 34214])).
% 51.54/34.17 tff(34216,plain,
% 51.54/34.17 (node59(c_p1, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[18335, 34210, 18318])).
% 51.54/34.17 tff(34217,plain,
% 51.54/34.17 (~m_processor_v_CMD(c_p1, s6, c_read_h_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[18342, 34216])).
% 51.54/34.17 tff(34218,plain,
% 51.54/34.17 ($false),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[16254, 34217, 34215])).
% 51.54/34.17 tff(34219,plain,(m_processor_v_waiting(c_p1, s7) | (~m_processor_v_REPLY_h_WAITING(c_p1, s6)) | (~m_processor_v_cmd(c_p1, s6, c_idle)) | m_processor_v_waiting(c_p0, s6) | node48(c_p1, s6) | node47(c_p1, s6) | (~m_processor_v_waiting(c_p1, s6))), inference(lemma,lemma(discharge,[]))).
% 51.54/34.17 tff(34220,plain,
% 51.54/34.17 (m_processor_v_waiting(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34219, 34209, 14157, 2, 18312, 18316, 34205])).
% 51.54/34.17 tff(34221,plain,
% 51.54/34.17 (~m_processor_v_state(c_p0, s8, c_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34088, 34220, 33982, 34085, 34203, 34202, 34189, 34201, 34062, 34200, 34198, 34195])).
% 51.54/34.17 tff(34222,plain,
% 51.54/34.17 (~m_processor_v_REPLY_h_WAITING(c_p0, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34073, 34221, 33982, 34189, 34188])).
% 51.54/34.17 tff(34223,plain,
% 51.54/34.17 (m_processor_v_reply_h_waiting(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34068, 34220])).
% 51.54/34.17 tff(34224,plain,
% 51.54/34.17 (~node6(s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25831, 34223])).
% 51.54/34.17 tff(34225,plain,
% 51.54/34.17 (m_main_v_REPLY_h_WAITING(s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[23481, 34224])).
% 51.54/34.17 tff(34226,plain,
% 51.54/34.17 ($false),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[23489, 34225, 34222])).
% 51.54/34.17 tff(34227,plain,(m_processor_v_master(c_p1, s6) | m_processor_v_waiting(c_p0, s6) | m_processor_v_state(c_p1, s6, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.17 tff(34228,plain,
% 51.54/34.17 (m_processor_v_master(c_p1, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34227, 2, 1])).
% 51.54/34.17 tff(34229,plain,
% 51.54/34.17 (~m_processor_v_master(c_p0, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[16318, 34228])).
% 51.54/34.17 tff(34230,plain,
% 51.54/34.17 (m_processor_v_reply_h_owned(c_p0, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[32592, 34229])).
% 51.54/34.17 tff(34231,plain,
% 51.54/34.17 (~node5(s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25489, 34230])).
% 51.54/34.17 tff(34232,plain,
% 51.54/34.17 (m_main_v_REPLY_h_OWNED(s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[24252, 34231])).
% 51.54/34.17 tff(34233,plain,
% 51.54/34.17 (m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[24260, 34232])).
% 51.54/34.17 tff(34234,plain,
% 51.54/34.17 (~m_memory_v_busy(c_m, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34079, 34233])).
% 51.54/34.17 tff(34235,plain,
% 51.54/34.17 (~m_processor_v_state(c_p1, s6, c_invalid)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[32467, 18174, 34228])).
% 51.54/34.17 tff(34236,plain,
% 51.54/34.17 (m_processor_v_waiting(c_p1, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34155, 34235, 34091, 1, 2, 32443])).
% 51.54/34.17 tff(34237,plain,
% 51.54/34.17 (m_processor_v_writable(c_p1, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34130, 18174, 34228])).
% 51.54/34.17 tff(34238,plain,
% 51.54/34.17 (node56(c_p1, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[672, 34237])).
% 51.54/34.17 tff(34239,plain,
% 51.54/34.17 ($false),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[545, 34238, 34236])).
% 51.54/34.17 tff(34240,plain,(m_processor_v_waiting(c_p1, s7) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_waiting(c_p0, s6)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.17 tff(34241,plain,
% 51.54/34.17 (m_processor_v_waiting(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34240, 2, 1])).
% 51.54/34.17 tff(34242,plain,
% 51.54/34.17 (~m_processor_v_state(c_p0, s8, c_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34088, 34241, 33982, 34085, 34203, 34202, 34189, 34201, 34062, 34200, 34198, 34234])).
% 51.54/34.17 tff(34243,plain,
% 51.54/34.17 (~m_processor_v_REPLY_h_WAITING(c_p0, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34073, 34242, 33982, 34189, 34188])).
% 51.54/34.17 tff(34244,plain,
% 51.54/34.17 (m_processor_v_reply_h_waiting(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34068, 34241])).
% 51.54/34.17 tff(34245,plain,
% 51.54/34.17 (~node6(s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25831, 34244])).
% 51.54/34.17 tff(34246,plain,
% 51.54/34.17 (m_main_v_REPLY_h_WAITING(s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[23481, 34245])).
% 51.54/34.17 tff(34247,plain,
% 51.54/34.17 ($false),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[23489, 34246, 34243])).
% 51.54/34.17 tff(34248,plain,(m_processor_v_waiting(c_p0, s6) | m_processor_v_state(c_p1, s6, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.17 tff(34249,plain,
% 51.54/34.17 (m_processor_v_waiting(c_p0, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34248, 1])).
% 51.54/34.17 tff(34250,plain,
% 51.54/34.17 (~m_main_v_CMD(s7, c_read_h_shared)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34046, 33982])).
% 51.54/34.17 tff(34251,plain,
% 51.54/34.17 (~m_memory_v_CMD(c_m, s7, c_read_h_shared)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[24612, 34250])).
% 51.54/34.17 tff(34252,plain,
% 51.54/34.17 (~m_memory_v_busy(c_m, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[29423, 34195, 34251, 34085])).
% 51.54/34.17 tff(34253,plain,
% 51.54/34.17 (m_processor_v_waiting(c_p0, s7) | (~m_processor_v_waiting(c_p0, s6)) | (~m_processor_v_cmd(c_p1, s6, c_idle))),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[32670, 34097])).
% 51.54/34.17 tff(34254,plain,
% 51.54/34.17 (m_processor_v_waiting(c_p0, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34253, 14157, 34249])).
% 51.54/34.17 tff(34255,plain,
% 51.54/34.17 (m_processor_v_waiting(c_p0, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[29956, 34254, 33982])).
% 51.54/34.17 tff(34256,plain,
% 51.54/34.17 (~node56(c_p0, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14420, 34255])).
% 51.54/34.17 tff(34257,plain,
% 51.54/34.17 (~m_processor_v_writable(c_p0, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[12508, 34256])).
% 51.54/34.17 tff(34258,plain,
% 51.54/34.17 (~node67(s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[12500, 34257])).
% 51.54/34.17 tff(34259,plain,
% 51.54/34.17 (~node56(c_p0, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[31394, 34249])).
% 51.54/34.17 tff(34260,plain,
% 51.54/34.17 (~m_processor_v_writable(c_p0, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[33, 34259])).
% 51.54/34.17 tff(34261,plain,
% 51.54/34.17 (~node67(s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[51, 34260])).
% 51.54/34.17 tff(34262,plain,
% 51.54/34.17 (~node56(c_p0, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[2574, 540, 34254])).
% 51.54/34.17 tff(34263,plain,
% 51.54/34.17 (~m_processor_v_writable(c_p0, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[2584, 34262])).
% 51.54/34.17 tff(34264,plain,
% 51.54/34.17 (~node67(s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[2592, 34263])).
% 51.54/34.17 tff(34265,plain,
% 51.54/34.17 (node67(s9)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34054, 34264, 34261, 34258])).
% 51.54/34.17 tff(34266,plain,
% 51.54/34.17 (m_processor_v_writable(c_p0, s9)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14729, 34265])).
% 51.54/34.17 tff(34267,plain,
% 51.54/34.17 (node56(c_p0, s9)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14737, 34266])).
% 51.54/34.17 tff(34268,plain,
% 51.54/34.17 (~m_processor_v_waiting(c_p0, s9)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14756, 540, 34267])).
% 51.54/34.17 tff(34269,plain,
% 51.54/34.17 (m_processor_v_writable(c_p1, s9)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[6259, 34265])).
% 51.54/34.17 tff(34270,plain,
% 51.54/34.17 (node56(c_p1, s9)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[6267, 34269])).
% 51.54/34.17 tff(34271,plain,
% 51.54/34.17 (m_processor_v_state(c_p1, s9, c_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[6275, 34270])).
% 51.54/34.17 tff(34272,plain,
% 51.54/34.17 (~m_processor_v_state(c_p1, s9, c_shared)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[6286, 121, 34271])).
% 51.54/34.17 tff(34273,plain,
% 51.54/34.17 (m_processor_v_state(c_p0, s9, c_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14745, 34267])).
% 51.54/34.17 tff(34274,plain,
% 51.54/34.17 (~m_processor_v_state(c_p1, s9, c_invalid)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[6279, 137, 34271])).
% 51.54/34.17 tff(34275,plain,
% 51.54/34.17 (~m_processor_v_waiting(c_p1, s9)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[6546, 540, 34270])).
% 51.54/34.17 tff(34276,plain,
% 51.54/34.17 (~m_memory_v_cmd(c_m, s8, c_idle)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[33971, 34275, 34255, 34274, 34062, 34273, 34272, 34268])).
% 51.54/34.17 tff(34277,plain,
% 51.54/34.17 (node29(c_m, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[15489, 34276])).
% 51.54/34.17 tff(34278,plain,
% 51.54/34.17 ($false),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[15481, 2072, 34277, 34252])).
% 51.54/34.17 tff(34279,plain,(m_processor_v_master(c_p1, s6) | m_processor_v_state(c_p1, s6, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.17 tff(34280,plain,
% 51.54/34.17 (m_processor_v_master(c_p1, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34279, 1])).
% 51.54/34.17 tff(34281,plain,
% 51.54/34.17 (~m_processor_v_master(c_p0, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[16318, 34280])).
% 51.54/34.17 tff(34282,plain,
% 51.54/34.17 (m_processor_v_reply_h_waiting(c_p0, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[26640, 34281, 34249])).
% 51.54/34.17 tff(34283,plain,
% 51.54/34.17 (~node6(s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[26630, 34282])).
% 51.54/34.17 tff(34284,plain,
% 51.54/34.17 (m_main_v_REPLY_h_WAITING(s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14184, 34283])).
% 51.54/34.17 tff(34285,plain,
% 51.54/34.17 (m_processor_v_REPLY_h_WAITING(c_p0, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14192, 34284])).
% 51.54/34.17 tff(34286,plain,
% 51.54/34.17 (m_processor_v_reply_h_owned(c_p0, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[32592, 34281])).
% 51.54/34.17 tff(34287,plain,
% 51.54/34.17 (~node5(s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25489, 34286])).
% 51.54/34.17 tff(34288,plain,
% 51.54/34.17 (m_main_v_REPLY_h_OWNED(s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[24252, 34287])).
% 51.54/34.17 tff(34289,plain,
% 51.54/34.17 (m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[24260, 34288])).
% 51.54/34.17 tff(34290,plain,
% 51.54/34.17 (~m_memory_v_busy(c_m, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34079, 34289])).
% 51.54/34.17 tff(34291,plain,
% 51.54/34.17 (~m_memory_v_busy(c_m, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[29423, 34290, 34251, 34085])).
% 51.54/34.17 tff(34292,assumption,(~m_memory_v_busy(c_m, s8)), introduced(assumption)).
% 51.54/34.17 tff(34293,plain,
% 51.54/34.17 ($false),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[15481, 2072, 15547, 34292])).
% 51.54/34.17 tff(34294,plain,((~node29(c_m, s8)) | m_memory_v_busy(c_m, s8)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.17 tff(34295,plain,
% 51.54/34.17 (~node29(c_m, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34294, 34291])).
% 51.54/34.17 tff(34296,plain,
% 51.54/34.17 (m_memory_v_cmd(c_m, s8, c_idle)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[15489, 34295])).
% 51.54/34.17 tff(34297,plain,
% 51.54/34.17 (m_processor_v_waiting(c_p0, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[29956, 23441, 14621])).
% 51.54/34.17 tff(34298,plain,
% 51.54/34.17 (~node56(c_p0, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14420, 34297])).
% 51.54/34.17 tff(34299,plain,
% 51.54/34.17 (~m_processor_v_writable(c_p0, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[12508, 34298])).
% 51.54/34.17 tff(34300,plain,
% 51.54/34.17 (~node67(s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[12500, 34299])).
% 51.54/34.17 tff(34301,plain,
% 51.54/34.17 (~node56(c_p0, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[2574, 540, 23441])).
% 51.54/34.17 tff(34302,plain,
% 51.54/34.17 (~m_processor_v_writable(c_p0, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[2584, 34301])).
% 51.54/34.17 tff(34303,plain,
% 51.54/34.17 (~node67(s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[2592, 34302])).
% 51.54/34.17 tff(34304,plain,
% 51.54/34.17 (node67(s9)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34054, 34303, 5668, 34300])).
% 51.54/34.17 tff(34305,plain,
% 51.54/34.17 (m_processor_v_writable(c_p1, s9)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[6259, 34304])).
% 51.54/34.17 tff(34306,plain,
% 51.54/34.17 (node56(c_p1, s9)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[6267, 34305])).
% 51.54/34.17 tff(34307,plain,
% 51.54/34.17 (m_processor_v_state(c_p1, s9, c_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[6275, 34306])).
% 51.54/34.17 tff(34308,plain,
% 51.54/34.17 (~m_processor_v_state(c_p1, s9, c_invalid)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[6279, 137, 34307])).
% 51.54/34.17 tff(34309,plain,
% 51.54/34.17 (~m_processor_v_state(c_p1, s9, c_shared)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[6286, 121, 34307])).
% 51.54/34.17 tff(34310,plain,
% 51.54/34.17 (m_processor_v_writable(c_p0, s9)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14729, 34304])).
% 51.54/34.17 tff(34311,plain,
% 51.54/34.17 (node56(c_p0, s9)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14737, 34310])).
% 51.54/34.17 tff(34312,plain,
% 51.54/34.17 (m_processor_v_state(c_p0, s9, c_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14745, 34311])).
% 51.54/34.17 tff(34313,plain,
% 51.54/34.17 (m_processor_v_state(c_p1, s8, c_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34061, 24694])).
% 51.54/34.17 tff(34314,plain,
% 51.54/34.17 (~m_processor_v_waiting(c_p0, s9)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14756, 540, 34311])).
% 51.54/34.17 tff(34315,plain,
% 51.54/34.17 (~m_processor_v_waiting(c_p1, s9)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[6546, 540, 34306])).
% 51.54/34.17 tff(34316,plain,
% 51.54/34.17 ($false),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[33971, 34315, 34314, 15510, 34297, 34313, 34312, 34309, 34308])).
% 51.54/34.17 tff(34317,plain,((~m_processor_v_waiting(c_p0, s7)) | (~m_memory_v_cmd(c_m, s8, c_idle)) | node67(s6) | (~m_processor_v_master(c_p0, s7))), inference(lemma,lemma(discharge,[]))).
% 51.54/34.17 tff(34318,plain,
% 51.54/34.17 (~m_processor_v_waiting(c_p0, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34317, 34296, 34261, 33982])).
% 51.54/34.17 tff(34319,plain,
% 51.54/34.17 (~node46(c_p0, s6, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[32620, 34318, 34249])).
% 51.54/34.17 tff(34320,plain,
% 51.54/34.17 (~m_processor_v_abort(c_p0, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[32628, 34319])).
% 51.54/34.17 tff(34321,plain,
% 51.54/34.17 (node60(c_p0, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14205, 34320])).
% 51.54/34.17 tff(34322,plain,
% 51.54/34.17 (m_processor_v_waiting(c_p0, s7) | m_processor_v_state(c_p1, s6, c_shared) | m_processor_v_state(c_p1, s6, c_invalid) | (~m_processor_v_waiting(c_p0, s6))),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[33698, 34097])).
% 51.54/34.17 tff(34323,plain,
% 51.54/34.17 (m_processor_v_state(c_p1, s6, c_invalid)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34322, 34318, 34249, 1])).
% 51.54/34.17 tff(34324,plain,
% 51.54/34.17 (m_main_v_CMD(s6, c_read_h_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34030, 34323, 34280])).
% 51.54/34.17 tff(34325,plain,
% 51.54/34.17 (m_processor_v_CMD(c_p0, s6, c_read_h_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14394, 34324])).
% 51.54/34.17 tff(34326,plain,
% 51.54/34.17 (~node59(c_p0, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14401, 34325])).
% 51.54/34.17 tff(34327,plain,
% 51.54/34.17 ($false),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[14382, 34326, 34321, 34285])).
% 51.54/34.17 tff(34328,plain,(m_processor_v_state(c_p1, s6, c_shared)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.17 tff(34329,plain,
% 51.54/34.17 ((~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_master(c_p1, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[19060, 32439])).
% 51.54/34.17 tff(34330,plain,
% 51.54/34.17 (m_processor_v_master(c_p1, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34329, 34328])).
% 51.54/34.17 tff(34331,plain,
% 51.54/34.17 (~m_processor_v_master(c_p0, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[16318, 34330])).
% 51.54/34.17 tff(34332,plain,
% 51.54/34.17 (m_processor_v_reply_h_owned(c_p0, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[32592, 34331])).
% 51.54/34.17 tff(34333,plain,
% 51.54/34.17 (~node5(s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[25489, 34332])).
% 51.54/34.17 tff(34334,plain,
% 51.54/34.17 (m_main_v_REPLY_h_OWNED(s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[24252, 34333])).
% 51.54/34.17 tff(34335,plain,
% 51.54/34.17 (m_memory_v_REPLY_h_OWNED(c_m, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[24260, 34334])).
% 51.54/34.17 tff(34336,plain,
% 51.54/34.17 (~m_memory_v_busy(c_m, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34079, 34335])).
% 51.54/34.17 tff(34337,plain,
% 51.54/34.17 (~m_processor_v_state(c_p1, s6, c_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[129, 34328])).
% 51.54/34.17 tff(34338,plain,
% 51.54/34.17 (~node56(c_p1, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[111, 34337])).
% 51.54/34.17 tff(34339,plain,
% 51.54/34.17 (~m_processor_v_writable(c_p1, s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[672, 34338])).
% 51.54/34.17 tff(34340,plain,
% 51.54/34.17 (m_processor_v_waiting(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34130, 34339, 34330])).
% 51.54/34.17 tff(34341,plain,
% 51.54/34.17 (~node56(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[18172, 540, 34340])).
% 51.54/34.17 tff(34342,plain,
% 51.54/34.17 (~m_processor_v_writable(c_p1, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[12523, 34341])).
% 51.54/34.17 tff(34343,plain,
% 51.54/34.17 (~node67(s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[12530, 34342])).
% 51.54/34.17 tff(34344,plain,
% 51.54/34.17 (~node67(s6)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[682, 34339])).
% 51.54/34.17 tff(34345,plain,
% 51.54/34.17 (m_processor_v_state(c_p1, s8, c_owned) | node67(s6) | node67(s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[6549, 31386, 29571])).
% 51.54/34.17 tff(34346,plain,
% 51.54/34.17 (m_processor_v_state(c_p1, s8, c_owned)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34345, 34343, 34344])).
% 51.54/34.17 tff(34347,plain,
% 51.54/34.17 (~node29(c_m, s7)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[24392, 34336])).
% 51.54/34.17 tff(34348,plain,
% 51.54/34.17 (m_memory_v_cmd(c_m, s7, c_idle)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[13225, 34347])).
% 51.54/34.17 tff(34349,plain,
% 51.54/34.17 (m_processor_v_waiting(c_p1, s8) | (~m_processor_v_waiting(c_p1, s7)) | (~m_processor_v_cmd(c_p0, s7, c_idle)) | (~m_memory_v_cmd(c_m, s7, c_idle))),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[26121, 32439])).
% 51.54/34.17 tff(34350,plain,
% 51.54/34.17 (m_processor_v_waiting(c_p1, s8)),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[34349, 23598, 34340, 34348])).
% 51.54/34.17 tff(34351,plain,
% 51.54/34.17 ((~m_main_v_CMD(s7, c_read_h_shared)) | (~m_memory_v_cmd(c_m, s7, c_idle)) | (~m_processor_v_cmd(c_p0, s7, c_idle))),
% 51.54/34.17 inference(unit_resolution,[status(thm)],[29412, 32439])).
% 51.54/34.17 tff(34352,plain,
% 51.54/34.17 (~m_main_v_CMD(s7, c_read_h_shared)),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[34351, 23598, 34348])).
% 51.54/34.18 tff(34353,plain,
% 51.54/34.18 (~m_memory_v_CMD(c_m, s7, c_read_h_shared)),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[24612, 34352])).
% 51.54/34.18 tff(34354,plain,
% 51.54/34.18 (~m_memory_v_busy(c_m, s8)),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[29423, 32385, 34336, 34353])).
% 51.54/34.18 tff(34355,plain,
% 51.54/34.18 (~node29(c_m, s8)),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[34294, 34354])).
% 51.54/34.18 tff(34356,plain,
% 51.54/34.18 (m_memory_v_cmd(c_m, s8, c_idle)),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[15489, 34355])).
% 51.54/34.18 tff(34357,plain,
% 51.54/34.18 (m_processor_v_master(c_p0, s7) | m_processor_v_state(c_p0, s8, c_owned)),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[18124, 32374, 32373])).
% 51.54/34.18 tff(34358,plain,
% 51.54/34.18 (m_processor_v_state(c_p0, s8, c_owned)),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[34357, 55])).
% 51.54/34.18 tff(34359,plain,
% 51.54/34.18 ($false),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[29435, 33873, 33864, 34358, 34356, 34350, 33872, 33871, 34346, 33868, 33869])).
% 51.54/34.18 tff(34360,plain,(m_processor_v_master(c_p0, s7)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.18 tff(34361,plain,
% 51.54/34.18 (~m_processor_v_master(c_p1, s7)),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[13229, 794, 34360])).
% 51.54/34.18 tff(34362,plain,
% 51.54/34.18 (m_processor_v_master(c_p1, s7) | m_processor_v_reply_h_waiting(c_p1, s7)),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[25823, 2296, 34340])).
% 51.54/34.18 tff(34363,plain,
% 51.54/34.18 (m_processor_v_reply_h_waiting(c_p1, s7)),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[34362, 34361])).
% 51.54/34.18 tff(34364,plain,
% 51.54/34.18 (~node6(s7)),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[25831, 34363])).
% 51.54/34.18 tff(34365,plain,
% 51.54/34.18 (m_main_v_REPLY_h_WAITING(s7)),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[23481, 34364])).
% 51.54/34.18 tff(34366,plain,
% 51.54/34.18 (m_processor_v_REPLY_h_WAITING(c_p0, s7)),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[23489, 34365])).
% 51.54/34.18 tff(34367,plain,
% 51.54/34.18 (~node46(c_p1, s7, s8)),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[25747, 29993, 34340])).
% 51.54/34.18 tff(34368,plain,
% 51.54/34.18 (~m_processor_v_abort(c_p1, s7)),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[25385, 34367])).
% 51.54/34.18 tff(34369,plain,
% 51.54/34.18 (node60(c_p1, s7)),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[24175, 34368])).
% 51.54/34.18 tff(34370,plain,
% 51.54/34.18 (~m_processor_v_abort(c_p0, s7)),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[25814, 34369])).
% 51.54/34.18 tff(34371,plain,
% 51.54/34.18 (m_processor_v_state(c_p0, s8, c_shared)),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[34126, 34370, 34360, 34366, 16256])).
% 51.54/34.18 tff(34372,plain,
% 51.54/34.18 ($false),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[14436, 121, 16229, 34371])).
% 51.54/34.18 tff(34373,plain,(~node67(s8)), inference(lemma,lemma(discharge,[]))).
% 51.54/34.18 tff(34374,plain,
% 51.54/34.18 (node67(s9)),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[34054, 34373, 34344, 34343])).
% 51.54/34.18 tff(34375,plain,
% 51.54/34.18 (m_processor_v_writable(c_p1, s9)),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[6259, 34374])).
% 51.54/34.18 tff(34376,plain,
% 51.54/34.18 (node56(c_p1, s9)),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[6267, 34375])).
% 51.54/34.18 tff(34377,plain,
% 51.54/34.18 (~m_processor_v_waiting(c_p1, s9)),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[6546, 540, 34376])).
% 51.54/34.18 tff(34378,plain,
% 51.54/34.18 (m_processor_v_state(c_p1, s9, c_owned)),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[6275, 34376])).
% 51.54/34.18 tff(34379,plain,
% 51.54/34.18 (~m_processor_v_state(c_p1, s9, c_invalid)),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[6279, 137, 34378])).
% 51.54/34.18 tff(34380,plain,
% 51.54/34.18 (~m_processor_v_state(c_p1, s9, c_shared)),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[6286, 121, 34378])).
% 51.54/34.18 tff(34381,plain,
% 51.54/34.18 (m_processor_v_writable(c_p0, s9)),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[14729, 34374])).
% 51.54/34.18 tff(34382,plain,
% 51.54/34.18 (node56(c_p0, s9)),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[14737, 34381])).
% 51.54/34.18 tff(34383,plain,
% 51.54/34.18 (~m_processor_v_waiting(c_p0, s9)),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[14756, 540, 34382])).
% 51.54/34.18 tff(34384,plain,
% 51.54/34.18 (m_processor_v_state(c_p0, s8, c_owned) | m_processor_v_waiting(c_p0, s9) | node67(s6) | (~m_processor_v_state(c_p1, s6, c_shared)) | m_processor_v_master(c_p1, s7)),
% 51.54/34.18 inference(unit_resolution,[status(thm)],[29873, 29571, 31386])).
% 51.54/34.18 tff(34385,plain,
% 51.59/34.21 (m_processor_v_state(c_p0, s8, c_owned)),
% 51.59/34.21 inference(unit_resolution,[status(thm)],[34384, 34383, 34328, 34344, 34361])).
% 51.59/34.21 tff(34386,plain,
% 51.59/34.21 (m_processor_v_reply_h_owned(c_p1, s7)),
% 51.59/34.21 inference(unit_resolution,[status(thm)],[34081, 34361])).
% 51.59/34.21 tff(34387,plain,
% 51.59/34.21 (~node5(s7)),
% 51.59/34.21 inference(unit_resolution,[status(thm)],[15348, 10333, 34386])).
% 51.59/34.21 tff(34388,plain,
% 51.59/34.21 (m_main_v_REPLY_h_OWNED(s7)),
% 51.59/34.21 inference(unit_resolution,[status(thm)],[15356, 34387])).
% 51.59/34.21 tff(34389,plain,
% 51.59/34.21 (m_memory_v_REPLY_h_OWNED(c_m, s7)),
% 51.59/34.21 inference(unit_resolution,[status(thm)],[15364, 34388])).
% 51.59/34.21 tff(34390,plain,
% 51.59/34.21 (m_processor_v_state(c_p0, s9, c_owned)),
% 51.59/34.21 inference(unit_resolution,[status(thm)],[14745, 34382])).
% 51.59/34.21 tff(34391,plain,
% 51.59/34.21 (~m_processor_v_state(c_p0, s9, c_shared)),
% 51.59/34.21 inference(unit_resolution,[status(thm)],[14766, 121, 34390])).
% 51.59/34.21 tff(34392,plain,
% 51.59/34.21 (~m_processor_v_state(c_p0, s9, c_invalid)),
% 51.59/34.21 inference(unit_resolution,[status(thm)],[14770, 137, 34390])).
% 51.59/34.21 tff(34393,plain,
% 51.59/34.21 ($false),
% 51.59/34.21 inference(unit_resolution,[status(thm)],[34088, 34392, 34391, 34360, 34389, 34340, 34385, 34383, 34380, 34346, 34379, 34377, 34336])).
% 51.59/34.21 % SZS output end Proof
%------------------------------------------------------------------------------